TSTP Solution File: SWV424-1.450 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV424-1.450 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n007.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 15:17:14 EDT 2022
% Result : Unsatisfiable 8.24s 5.69s
% Output : Proof 24.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV424-1.450 : TPTP v8.1.0. Released v3.5.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Sep 4 03:18:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 8.24/5.69 % SZS status Unsatisfiable
% 8.24/5.69 % SZS output start Proof
% 8.24/5.69 tff(node2_type, type, (
% 8.24/5.69 node2: ( $i * $i ) > $o)).
% 8.24/5.69 tff(s0_type, type, (
% 8.24/5.69 s0: $i)).
% 8.24/5.69 tff(s449_type, type, (
% 8.24/5.69 s449: $i)).
% 8.24/5.69 tff(trans_type, type, (
% 8.24/5.69 trans: ( $i * $i ) > $o)).
% 8.24/5.69 tff(s7_type, type, (
% 8.24/5.69 s7: $i)).
% 8.24/5.69 tff(m_main_v_request_type, type, (
% 8.24/5.69 m_main_v_request: $i > $o)).
% 8.24/5.69 tff(until2p7_type, type, (
% 8.24/5.69 until2p7: $i > $o)).
% 8.24/5.69 tff(s75_type, type, (
% 8.24/5.69 s75: $i)).
% 8.24/5.69 tff(node4_type, type, (
% 8.24/5.69 node4: $i > $o)).
% 8.24/5.69 tff(m_main_v_state_type, type, (
% 8.24/5.69 m_main_v_state: ( $i * $i ) > $o)).
% 8.24/5.69 tff(c_busy_type, type, (
% 8.24/5.69 c_busy: $i)).
% 8.24/5.69 tff(s76_type, type, (
% 8.24/5.69 s76: $i)).
% 8.24/5.69 tff(always3_type, type, (
% 8.24/5.69 always3: $i > $o)).
% 8.24/5.69 tff(s74_type, type, (
% 8.24/5.69 s74: $i)).
% 8.24/5.69 tff(s73_type, type, (
% 8.24/5.69 s73: $i)).
% 8.24/5.69 tff(s83_type, type, (
% 8.24/5.69 s83: $i)).
% 8.24/5.69 tff(xuntil6_type, type, (
% 8.24/5.69 xuntil6: $i > $o)).
% 8.24/5.69 tff(until5_type, type, (
% 8.24/5.69 until5: $i > $o)).
% 8.24/5.69 tff(s448_type, type, (
% 8.24/5.69 s448: $i)).
% 8.24/5.69 tff(s447_type, type, (
% 8.24/5.69 s447: $i)).
% 8.24/5.69 tff(s446_type, type, (
% 8.24/5.69 s446: $i)).
% 8.24/5.69 tff(s445_type, type, (
% 8.24/5.69 s445: $i)).
% 8.24/5.69 tff(s443_type, type, (
% 8.24/5.69 s443: $i)).
% 8.24/5.69 tff(s442_type, type, (
% 8.24/5.69 s442: $i)).
% 8.24/5.69 tff(s389_type, type, (
% 8.24/5.69 s389: $i)).
% 8.24/5.69 tff(s388_type, type, (
% 8.24/5.69 s388: $i)).
% 8.24/5.69 tff(s332_type, type, (
% 8.24/5.69 s332: $i)).
% 8.24/5.69 tff(s331_type, type, (
% 8.24/5.69 s331: $i)).
% 8.24/5.69 tff(s58_type, type, (
% 8.24/5.69 s58: $i)).
% 8.24/5.69 tff(s57_type, type, (
% 8.24/5.69 s57: $i)).
% 8.24/5.69 tff(s56_type, type, (
% 8.24/5.69 s56: $i)).
% 8.24/5.69 tff(s55_type, type, (
% 8.24/5.69 s55: $i)).
% 8.24/5.69 tff(s53_type, type, (
% 8.24/5.69 s53: $i)).
% 8.24/5.69 tff(s52_type, type, (
% 8.24/5.69 s52: $i)).
% 8.24/5.69 tff(s51_type, type, (
% 8.24/5.69 s51: $i)).
% 8.24/5.69 tff(s50_type, type, (
% 8.24/5.69 s50: $i)).
% 8.24/5.69 tff(s49_type, type, (
% 8.24/5.69 s49: $i)).
% 8.24/5.69 tff(s44_type, type, (
% 8.24/5.69 s44: $i)).
% 8.24/5.69 tff(s43_type, type, (
% 8.24/5.69 s43: $i)).
% 8.24/5.69 tff(s42_type, type, (
% 8.24/5.69 s42: $i)).
% 8.24/5.69 tff(s41_type, type, (
% 8.24/5.69 s41: $i)).
% 8.24/5.69 tff(s40_type, type, (
% 8.24/5.69 s40: $i)).
% 8.24/5.69 tff(s39_type, type, (
% 8.24/5.69 s39: $i)).
% 8.24/5.69 tff(s38_type, type, (
% 8.24/5.69 s38: $i)).
% 8.24/5.69 tff(s34_type, type, (
% 8.24/5.69 s34: $i)).
% 8.24/5.69 tff(s33_type, type, (
% 8.24/5.69 s33: $i)).
% 8.24/5.69 tff(s32_type, type, (
% 8.24/5.69 s32: $i)).
% 8.24/5.69 tff(s31_type, type, (
% 8.24/5.69 s31: $i)).
% 8.24/5.69 tff(s30_type, type, (
% 8.24/5.69 s30: $i)).
% 8.24/5.69 tff(s29_type, type, (
% 8.24/5.69 s29: $i)).
% 8.24/5.69 tff(s26_type, type, (
% 8.24/5.69 s26: $i)).
% 8.24/5.69 tff(s25_type, type, (
% 8.24/5.69 s25: $i)).
% 8.24/5.69 tff(s24_type, type, (
% 8.24/5.69 s24: $i)).
% 8.24/5.69 tff(s23_type, type, (
% 8.24/5.69 s23: $i)).
% 8.24/5.69 tff(s21_type, type, (
% 8.24/5.69 s21: $i)).
% 8.24/5.69 tff(s20_type, type, (
% 8.24/5.69 s20: $i)).
% 8.24/5.69 tff(s18_type, type, (
% 8.24/5.69 s18: $i)).
% 8.24/5.69 tff(s17_type, type, (
% 8.24/5.69 s17: $i)).
% 8.24/5.69 tff(s16_type, type, (
% 8.24/5.69 s16: $i)).
% 8.24/5.69 tff(s15_type, type, (
% 8.24/5.69 s15: $i)).
% 8.24/5.69 tff(s14_type, type, (
% 8.24/5.69 s14: $i)).
% 8.24/5.69 tff(s13_type, type, (
% 8.24/5.69 s13: $i)).
% 8.24/5.69 tff(s12_type, type, (
% 8.24/5.69 s12: $i)).
% 8.24/5.69 tff(s10_type, type, (
% 8.24/5.69 s10: $i)).
% 8.24/5.69 tff(s9_type, type, (
% 8.24/5.69 s9: $i)).
% 8.24/5.69 tff(s8_type, type, (
% 8.24/5.69 s8: $i)).
% 8.24/5.69 tff(succ_type, type, (
% 8.24/5.69 succ: ( $i * $i ) > $o)).
% 8.24/5.69 tff(s3_type, type, (
% 8.24/5.69 s3: $i)).
% 8.24/5.69 tff(s4_type, type, (
% 8.24/5.69 s4: $i)).
% 8.24/5.69 tff(s5_type, type, (
% 8.24/5.69 s5: $i)).
% 8.24/5.69 tff(s6_type, type, (
% 8.24/5.69 s6: $i)).
% 8.24/5.69 tff(c_ready_type, type, (
% 8.24/5.69 c_ready: $i)).
% 8.24/5.69 tff(s2_type, type, (
% 8.24/5.69 s2: $i)).
% 8.24/5.69 tff(s1_type, type, (
% 8.24/5.69 s1: $i)).
% 8.24/5.69 tff(s11_type, type, (
% 8.24/5.69 s11: $i)).
% 8.24/5.69 tff(s19_type, type, (
% 8.24/5.69 s19: $i)).
% 8.24/5.69 tff(s22_type, type, (
% 8.24/5.69 s22: $i)).
% 8.24/5.69 tff(s28_type, type, (
% 8.24/5.69 s28: $i)).
% 8.24/5.69 tff(s27_type, type, (
% 8.24/5.69 s27: $i)).
% 8.24/5.69 tff(s37_type, type, (
% 8.24/5.69 s37: $i)).
% 8.24/5.69 tff(s36_type, type, (
% 8.24/5.69 s36: $i)).
% 8.24/5.69 tff(s35_type, type, (
% 8.24/5.69 s35: $i)).
% 8.24/5.69 tff(s45_type, type, (
% 8.24/5.69 s45: $i)).
% 8.24/5.69 tff(s48_type, type, (
% 8.24/5.69 s48: $i)).
% 8.24/5.69 tff(s46_type, type, (
% 8.24/5.69 s46: $i)).
% 8.24/5.69 tff(s47_type, type, (
% 8.24/5.69 s47: $i)).
% 8.24/5.69 tff(node1_type, type, (
% 8.24/5.69 node1: $i > $o)).
% 8.24/5.69 tff(s54_type, type, (
% 8.24/5.69 s54: $i)).
% 8.24/5.69 tff(s330_type, type, (
% 8.24/5.69 s330: $i)).
% 8.24/5.69 tff(s329_type, type, (
% 8.24/5.69 s329: $i)).
% 8.24/5.69 tff(s328_type, type, (
% 8.24/5.69 s328: $i)).
% 8.24/5.69 tff(s327_type, type, (
% 8.24/5.69 s327: $i)).
% 8.24/5.69 tff(s321_type, type, (
% 8.24/5.69 s321: $i)).
% 8.24/5.69 tff(s320_type, type, (
% 8.24/5.69 s320: $i)).
% 8.24/5.69 tff(s319_type, type, (
% 8.24/5.69 s319: $i)).
% 8.24/5.69 tff(s318_type, type, (
% 8.24/5.69 s318: $i)).
% 8.24/5.69 tff(s317_type, type, (
% 8.24/5.69 s317: $i)).
% 8.24/5.69 tff(s316_type, type, (
% 8.24/5.69 s316: $i)).
% 8.24/5.69 tff(s253_type, type, (
% 8.24/5.69 s253: $i)).
% 8.24/5.69 tff(s254_type, type, (
% 8.24/5.69 s254: $i)).
% 8.24/5.69 tff(s315_type, type, (
% 8.24/5.69 s315: $i)).
% 8.24/5.69 tff(s314_type, type, (
% 8.24/5.69 s314: $i)).
% 8.24/5.69 tff(s313_type, type, (
% 8.24/5.69 s313: $i)).
% 8.24/5.69 tff(s312_type, type, (
% 8.24/5.69 s312: $i)).
% 8.24/5.69 tff(s311_type, type, (
% 8.24/5.69 s311: $i)).
% 8.24/5.69 tff(s310_type, type, (
% 8.24/5.69 s310: $i)).
% 8.24/5.69 tff(s309_type, type, (
% 8.24/5.69 s309: $i)).
% 8.24/5.69 tff(s308_type, type, (
% 8.24/5.69 s308: $i)).
% 8.24/5.69 tff(s307_type, type, (
% 8.24/5.69 s307: $i)).
% 8.24/5.69 tff(s306_type, type, (
% 8.24/5.69 s306: $i)).
% 8.24/5.69 tff(s305_type, type, (
% 8.24/5.69 s305: $i)).
% 8.24/5.69 tff(s304_type, type, (
% 8.24/5.69 s304: $i)).
% 8.24/5.69 tff(s303_type, type, (
% 8.24/5.69 s303: $i)).
% 8.24/5.69 tff(s302_type, type, (
% 8.24/5.69 s302: $i)).
% 8.24/5.69 tff(s301_type, type, (
% 8.24/5.69 s301: $i)).
% 8.24/5.69 tff(s300_type, type, (
% 8.24/5.69 s300: $i)).
% 8.24/5.69 tff(s299_type, type, (
% 8.24/5.69 s299: $i)).
% 8.24/5.69 tff(s298_type, type, (
% 8.24/5.69 s298: $i)).
% 8.24/5.69 tff(s297_type, type, (
% 8.24/5.69 s297: $i)).
% 8.24/5.69 tff(s296_type, type, (
% 8.24/5.69 s296: $i)).
% 8.24/5.69 tff(s295_type, type, (
% 8.24/5.69 s295: $i)).
% 8.24/5.69 tff(s294_type, type, (
% 8.24/5.69 s294: $i)).
% 8.24/5.69 tff(s293_type, type, (
% 8.24/5.69 s293: $i)).
% 8.24/5.69 tff(s292_type, type, (
% 8.24/5.69 s292: $i)).
% 8.24/5.69 tff(s291_type, type, (
% 8.24/5.69 s291: $i)).
% 8.24/5.69 tff(s290_type, type, (
% 8.24/5.69 s290: $i)).
% 8.24/5.69 tff(s289_type, type, (
% 8.24/5.69 s289: $i)).
% 8.24/5.69 tff(s288_type, type, (
% 8.24/5.69 s288: $i)).
% 8.24/5.69 tff(s287_type, type, (
% 8.24/5.69 s287: $i)).
% 8.24/5.69 tff(s286_type, type, (
% 8.24/5.69 s286: $i)).
% 8.24/5.69 tff(s285_type, type, (
% 8.24/5.69 s285: $i)).
% 8.24/5.69 tff(s284_type, type, (
% 8.24/5.69 s284: $i)).
% 8.24/5.69 tff(s283_type, type, (
% 8.24/5.69 s283: $i)).
% 8.24/5.69 tff(s282_type, type, (
% 8.24/5.69 s282: $i)).
% 8.24/5.69 tff(s281_type, type, (
% 8.24/5.69 s281: $i)).
% 8.24/5.69 tff(s280_type, type, (
% 8.24/5.69 s280: $i)).
% 8.24/5.69 tff(s279_type, type, (
% 8.24/5.69 s279: $i)).
% 8.24/5.69 tff(s278_type, type, (
% 8.24/5.69 s278: $i)).
% 8.24/5.69 tff(s277_type, type, (
% 8.24/5.69 s277: $i)).
% 8.24/5.69 tff(s276_type, type, (
% 8.24/5.69 s276: $i)).
% 8.24/5.69 tff(s275_type, type, (
% 8.24/5.69 s275: $i)).
% 8.24/5.69 tff(s274_type, type, (
% 8.24/5.69 s274: $i)).
% 8.24/5.69 tff(s273_type, type, (
% 8.24/5.69 s273: $i)).
% 8.24/5.69 tff(s272_type, type, (
% 8.24/5.69 s272: $i)).
% 8.24/5.69 tff(s271_type, type, (
% 8.24/5.69 s271: $i)).
% 8.24/5.69 tff(s270_type, type, (
% 8.24/5.69 s270: $i)).
% 8.24/5.69 tff(s269_type, type, (
% 8.24/5.69 s269: $i)).
% 8.24/5.69 tff(s268_type, type, (
% 8.24/5.69 s268: $i)).
% 8.24/5.69 tff(s267_type, type, (
% 8.24/5.69 s267: $i)).
% 8.24/5.69 tff(s266_type, type, (
% 8.24/5.69 s266: $i)).
% 8.24/5.69 tff(s265_type, type, (
% 8.24/5.69 s265: $i)).
% 8.24/5.69 tff(s264_type, type, (
% 8.24/5.69 s264: $i)).
% 8.24/5.69 tff(s263_type, type, (
% 8.24/5.69 s263: $i)).
% 8.24/5.69 tff(s262_type, type, (
% 8.24/5.69 s262: $i)).
% 8.24/5.69 tff(s261_type, type, (
% 8.24/5.69 s261: $i)).
% 8.24/5.69 tff(s260_type, type, (
% 8.24/5.69 s260: $i)).
% 8.24/5.69 tff(s259_type, type, (
% 8.24/5.69 s259: $i)).
% 8.24/5.69 tff(s258_type, type, (
% 8.24/5.69 s258: $i)).
% 8.24/5.69 tff(s257_type, type, (
% 8.24/5.69 s257: $i)).
% 8.24/5.69 tff(s256_type, type, (
% 8.24/5.69 s256: $i)).
% 8.24/5.69 tff(s255_type, type, (
% 8.24/5.69 s255: $i)).
% 8.24/5.69 tff(s252_type, type, (
% 8.24/5.69 s252: $i)).
% 8.24/5.69 tff(s251_type, type, (
% 8.24/5.69 s251: $i)).
% 8.24/5.69 tff(s250_type, type, (
% 8.24/5.69 s250: $i)).
% 8.24/5.69 tff(s249_type, type, (
% 8.24/5.69 s249: $i)).
% 8.24/5.69 tff(s248_type, type, (
% 8.24/5.69 s248: $i)).
% 8.24/5.69 tff(s247_type, type, (
% 8.24/5.69 s247: $i)).
% 8.24/5.69 tff(s246_type, type, (
% 8.24/5.69 s246: $i)).
% 8.24/5.69 tff(s245_type, type, (
% 8.24/5.69 s245: $i)).
% 8.24/5.69 tff(s244_type, type, (
% 8.24/5.69 s244: $i)).
% 8.24/5.69 tff(s243_type, type, (
% 8.24/5.69 s243: $i)).
% 8.24/5.69 tff(s242_type, type, (
% 8.24/5.69 s242: $i)).
% 8.24/5.69 tff(s241_type, type, (
% 8.24/5.69 s241: $i)).
% 8.24/5.69 tff(s240_type, type, (
% 8.24/5.69 s240: $i)).
% 8.24/5.69 tff(s239_type, type, (
% 8.24/5.69 s239: $i)).
% 8.24/5.69 tff(s238_type, type, (
% 8.24/5.69 s238: $i)).
% 8.24/5.69 tff(s237_type, type, (
% 8.24/5.69 s237: $i)).
% 8.24/5.69 tff(s236_type, type, (
% 8.24/5.69 s236: $i)).
% 8.24/5.69 tff(s235_type, type, (
% 8.24/5.69 s235: $i)).
% 8.24/5.69 tff(s234_type, type, (
% 8.24/5.69 s234: $i)).
% 8.24/5.69 tff(s233_type, type, (
% 8.24/5.69 s233: $i)).
% 8.24/5.69 tff(s232_type, type, (
% 8.24/5.69 s232: $i)).
% 8.24/5.69 tff(s231_type, type, (
% 8.24/5.69 s231: $i)).
% 8.24/5.69 tff(s230_type, type, (
% 8.24/5.69 s230: $i)).
% 8.24/5.69 tff(s229_type, type, (
% 8.24/5.69 s229: $i)).
% 8.24/5.69 tff(s228_type, type, (
% 8.24/5.69 s228: $i)).
% 8.24/5.69 tff(s227_type, type, (
% 8.24/5.69 s227: $i)).
% 8.24/5.69 tff(s226_type, type, (
% 8.24/5.69 s226: $i)).
% 8.24/5.69 tff(s225_type, type, (
% 8.24/5.69 s225: $i)).
% 8.24/5.69 tff(s224_type, type, (
% 8.24/5.69 s224: $i)).
% 8.24/5.69 tff(s223_type, type, (
% 8.24/5.69 s223: $i)).
% 8.24/5.69 tff(s222_type, type, (
% 8.24/5.69 s222: $i)).
% 8.24/5.69 tff(s221_type, type, (
% 8.24/5.69 s221: $i)).
% 8.24/5.69 tff(s220_type, type, (
% 8.24/5.69 s220: $i)).
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% 8.24/5.69 tff(s429_type, type, (
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% 8.24/5.69 tff(s428_type, type, (
% 8.24/5.69 s428: $i)).
% 8.24/5.69 tff(s427_type, type, (
% 8.24/5.69 s427: $i)).
% 8.24/5.69 tff(s426_type, type, (
% 8.24/5.69 s426: $i)).
% 8.24/5.69 tff(s425_type, type, (
% 8.24/5.69 s425: $i)).
% 8.24/5.69 tff(s424_type, type, (
% 8.24/5.69 s424: $i)).
% 8.24/5.69 tff(s423_type, type, (
% 8.24/5.69 s423: $i)).
% 8.24/5.69 tff(s422_type, type, (
% 8.24/5.69 s422: $i)).
% 8.24/5.69 tff(s421_type, type, (
% 8.24/5.69 s421: $i)).
% 8.24/5.69 tff(s420_type, type, (
% 8.24/5.69 s420: $i)).
% 8.24/5.69 tff(s419_type, type, (
% 8.24/5.69 s419: $i)).
% 8.24/5.69 tff(s418_type, type, (
% 8.24/5.69 s418: $i)).
% 8.24/5.69 tff(s417_type, type, (
% 8.24/5.69 s417: $i)).
% 8.24/5.69 tff(s416_type, type, (
% 8.24/5.69 s416: $i)).
% 8.24/5.69 tff(s415_type, type, (
% 8.24/5.69 s415: $i)).
% 8.24/5.69 tff(s414_type, type, (
% 8.24/5.69 s414: $i)).
% 8.24/5.69 tff(s413_type, type, (
% 8.24/5.69 s413: $i)).
% 8.24/5.69 tff(s412_type, type, (
% 8.24/5.69 s412: $i)).
% 8.24/5.69 tff(s411_type, type, (
% 8.24/5.69 s411: $i)).
% 8.24/5.69 tff(s410_type, type, (
% 8.24/5.69 s410: $i)).
% 8.24/5.69 tff(s409_type, type, (
% 8.24/5.69 s409: $i)).
% 8.24/5.69 tff(s408_type, type, (
% 8.24/5.69 s408: $i)).
% 8.24/5.69 tff(s407_type, type, (
% 8.24/5.69 s407: $i)).
% 8.24/5.69 tff(s406_type, type, (
% 8.24/5.69 s406: $i)).
% 8.24/5.69 tff(s405_type, type, (
% 8.24/5.69 s405: $i)).
% 8.24/5.69 tff(s404_type, type, (
% 8.24/5.69 s404: $i)).
% 8.24/5.69 tff(s403_type, type, (
% 8.24/5.69 s403: $i)).
% 8.24/5.69 tff(s402_type, type, (
% 8.24/5.69 s402: $i)).
% 8.24/5.69 tff(s401_type, type, (
% 8.24/5.69 s401: $i)).
% 8.24/5.69 tff(s400_type, type, (
% 8.24/5.69 s400: $i)).
% 8.24/5.69 tff(s399_type, type, (
% 8.24/5.69 s399: $i)).
% 8.24/5.69 tff(s398_type, type, (
% 8.24/5.69 s398: $i)).
% 8.24/5.69 tff(s397_type, type, (
% 8.24/5.69 s397: $i)).
% 8.24/5.69 tff(s396_type, type, (
% 8.24/5.69 s396: $i)).
% 8.24/5.69 tff(s395_type, type, (
% 8.24/5.69 s395: $i)).
% 8.24/5.69 tff(s394_type, type, (
% 8.24/5.69 s394: $i)).
% 8.24/5.69 tff(s393_type, type, (
% 8.24/5.69 s393: $i)).
% 8.24/5.69 tff(s392_type, type, (
% 8.24/5.69 s392: $i)).
% 8.24/5.69 tff(s391_type, type, (
% 8.24/5.69 s391: $i)).
% 8.24/5.69 tff(s390_type, type, (
% 8.24/5.69 s390: $i)).
% 8.24/5.69 tff(s387_type, type, (
% 8.24/5.69 s387: $i)).
% 8.24/5.69 tff(s384_type, type, (
% 8.24/5.69 s384: $i)).
% 8.24/5.69 tff(s383_type, type, (
% 8.24/5.69 s383: $i)).
% 8.24/5.69 tff(s379_type, type, (
% 8.24/5.69 s379: $i)).
% 8.24/5.69 tff(s437_type, type, (
% 8.24/5.69 s437: $i)).
% 8.24/5.69 tff(s438_type, type, (
% 8.24/5.69 s438: $i)).
% 8.24/5.69 tff(s439_type, type, (
% 8.24/5.69 s439: $i)).
% 8.24/5.69 tff(s440_type, type, (
% 8.24/5.69 s440: $i)).
% 8.24/5.69 tff(s441_type, type, (
% 8.24/5.69 s441: $i)).
% 8.24/5.69 tff(s444_type, type, (
% 8.24/5.69 s444: $i)).
% 8.24/5.69 tff(xuntil2p8_type, type, (
% 8.24/5.69 xuntil2p8: $i > $o)).
% 8.24/5.69 tff(last_type, type, (
% 8.24/5.69 last: $i > $o)).
% 8.24/5.69 tff(loop_type, type, (
% 8.24/5.69 loop: $o)).
% 8.24/5.69 tff(1,plain,
% 8.24/5.69 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node2(X, Y)) <=> ((~trans(X, Y)) | node2(X, Y)))),
% 8.24/5.69 inference(bind,[status(th)],[])).
% 8.24/5.69 tff(2,plain,
% 8.24/5.69 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 8.24/5.69 inference(quant_intro,[status(thm)],[1])).
% 8.24/5.69 tff(3,plain,
% 8.24/5.69 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 8.24/5.69 inference(rewrite,[status(thm)],[])).
% 8.24/5.69 tff(4,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_8')).
% 8.24/5.69 tff(5,plain,
% 8.24/5.69 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 8.24/5.69 inference(modus_ponens,[status(thm)],[4, 3])).
% 8.24/5.69 tff(6,plain,(
% 8.24/5.69 ![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 8.24/5.69 inference(skolemize,[status(sab)],[5])).
% 8.24/5.69 tff(7,plain,
% 8.24/5.69 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 8.24/5.69 inference(modus_ponens,[status(thm)],[6, 2])).
% 8.24/5.69 tff(8,assumption,(trans(s449, s7)), introduced(assumption)).
% 8.24/5.69 tff(9,plain,
% 8.24/5.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s449, s7)) | node2(s449, s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s449, s7)) | node2(s449, s7))),
% 8.24/5.69 inference(rewrite,[status(thm)],[])).
% 8.24/5.69 tff(10,plain,
% 8.24/5.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s449, s7)) | node2(s449, s7))),
% 8.24/5.69 inference(quant_inst,[status(thm)],[])).
% 8.24/5.69 tff(11,plain,
% 8.24/5.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s449, s7)) | node2(s449, s7)),
% 8.24/5.69 inference(modus_ponens,[status(thm)],[10, 9])).
% 8.24/5.69 tff(12,plain,
% 8.24/5.69 (node2(s449, s7)),
% 8.24/5.69 inference(unit_resolution,[status(thm)],[11, 8, 7])).
% 8.24/5.69 tff(13,assumption,(~m_main_v_request(s449)), introduced(assumption)).
% 8.24/5.69 tff(14,assumption,(~xuntil6(s9)), introduced(assumption)).
% 8.24/5.69 tff(15,assumption,(~always3(s9)), introduced(assumption)).
% 8.24/5.69 tff(16,plain,
% 8.24/5.69 (^[X: $i] : refl((always3(X) | (~node4(X))) <=> (always3(X) | (~node4(X))))),
% 8.24/5.69 inference(bind,[status(th)],[])).
% 8.24/5.69 tff(17,plain,
% 8.24/5.69 (![X: $i] : (always3(X) | (~node4(X))) <=> ![X: $i] : (always3(X) | (~node4(X)))),
% 8.24/5.69 inference(quant_intro,[status(thm)],[16])).
% 8.24/5.69 tff(18,plain,
% 8.24/5.69 (![X: $i] : (always3(X) | (~node4(X))) <=> ![X: $i] : (always3(X) | (~node4(X)))),
% 8.24/5.69 inference(rewrite,[status(thm)],[])).
% 8.24/5.69 tff(19,axiom,(![X: $i] : (always3(X) | (~node4(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty5')).
% 8.24/5.69 tff(20,plain,
% 8.24/5.69 (![X: $i] : (always3(X) | (~node4(X)))),
% 8.24/5.69 inference(modus_ponens,[status(thm)],[19, 18])).
% 8.24/5.69 tff(21,plain,(
% 8.24/5.69 ![X: $i] : (always3(X) | (~node4(X)))),
% 8.24/5.69 inference(skolemize,[status(sab)],[20])).
% 8.24/5.69 tff(22,plain,
% 8.24/5.69 (![X: $i] : (always3(X) | (~node4(X)))),
% 8.24/5.69 inference(modus_ponens,[status(thm)],[21, 17])).
% 8.24/5.69 tff(23,plain,
% 8.24/5.69 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s9) | (~node4(s9)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s9) | (~node4(s9)))),
% 8.24/5.69 inference(rewrite,[status(thm)],[])).
% 8.24/5.69 tff(24,plain,
% 8.24/5.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s9) | (~node4(s9)))),
% 8.24/5.69 inference(quant_inst,[status(thm)],[])).
% 8.24/5.69 tff(25,plain,
% 8.24/5.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s9) | (~node4(s9))),
% 8.24/5.69 inference(modus_ponens,[status(thm)],[24, 23])).
% 8.24/5.69 tff(26,plain,
% 8.24/5.69 (~node4(s9)),
% 8.24/5.69 inference(unit_resolution,[status(thm)],[25, 22, 15])).
% 8.24/5.69 tff(27,plain,
% 8.24/5.69 (^[X: $i] : refl((node4(X) | (~until5(X)) | xuntil6(X)) <=> (node4(X) | (~until5(X)) | xuntil6(X)))),
% 8.24/5.69 inference(bind,[status(th)],[])).
% 8.24/5.69 tff(28,plain,
% 8.24/5.69 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X)) <=> ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 8.24/5.69 inference(quant_intro,[status(thm)],[27])).
% 8.24/5.69 tff(29,plain,
% 8.24/5.69 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X)) <=> ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 8.24/5.69 inference(rewrite,[status(thm)],[])).
% 8.24/5.69 tff(30,plain,
% 8.24/5.69 (^[X: $i] : rewrite(((node4(X) | xuntil6(X)) | (~until5(X))) <=> (node4(X) | (~until5(X)) | xuntil6(X)))),
% 8.24/5.69 inference(bind,[status(th)],[])).
% 8.24/5.69 tff(31,plain,
% 8.24/5.69 (![X: $i] : ((node4(X) | xuntil6(X)) | (~until5(X))) <=> ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 8.24/5.69 inference(quant_intro,[status(thm)],[30])).
% 8.24/5.69 tff(32,axiom,(![X: $i] : ((node4(X) | xuntil6(X)) | (~until5(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty6')).
% 8.24/5.69 tff(33,plain,
% 8.24/5.69 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 8.24/5.69 inference(modus_ponens,[status(thm)],[32, 31])).
% 8.24/5.69 tff(34,plain,
% 8.24/5.69 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 8.24/5.69 inference(modus_ponens,[status(thm)],[33, 29])).
% 8.24/5.69 tff(35,plain,(
% 8.24/5.69 ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 8.24/5.69 inference(skolemize,[status(sab)],[34])).
% 8.24/5.69 tff(36,plain,
% 8.24/5.69 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 8.24/5.69 inference(modus_ponens,[status(thm)],[35, 28])).
% 8.24/5.69 tff(37,plain,
% 8.24/5.69 (((~![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)))),
% 8.24/5.69 inference(rewrite,[status(thm)],[])).
% 8.24/5.69 tff(38,plain,
% 8.24/5.69 ((node4(s9) | (~until5(s9)) | xuntil6(s9)) <=> (xuntil6(s9) | node4(s9) | (~until5(s9)))),
% 8.24/5.69 inference(rewrite,[status(thm)],[])).
% 8.24/5.69 tff(39,plain,
% 8.24/5.69 (((~![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))))),
% 8.24/5.69 inference(monotonicity,[status(thm)],[38])).
% 8.24/5.69 tff(40,plain,
% 8.24/5.69 (((~![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)))),
% 8.24/5.69 inference(transitivity,[status(thm)],[39, 37])).
% 8.24/5.69 tff(41,plain,
% 8.24/5.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s9) | (~until5(s9)) | xuntil6(s9))),
% 8.24/5.69 inference(quant_inst,[status(thm)],[])).
% 8.24/5.69 tff(42,plain,
% 8.24/5.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s9) | node4(s9) | (~until5(s9))),
% 8.24/5.69 inference(modus_ponens,[status(thm)],[41, 40])).
% 8.24/5.69 tff(43,plain,
% 8.24/5.69 (node4(s9) | (~until5(s9))),
% 8.24/5.69 inference(unit_resolution,[status(thm)],[42, 36, 14])).
% 8.24/5.69 tff(44,plain,
% 8.24/5.69 (~until5(s9)),
% 8.24/5.69 inference(unit_resolution,[status(thm)],[43, 26])).
% 8.24/5.69 tff(45,plain,
% 8.24/5.69 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | trans(X, Y)) <=> ((~succ(X, Y)) | trans(X, Y)))),
% 8.24/5.69 inference(bind,[status(th)],[])).
% 8.24/5.69 tff(46,plain,
% 8.24/5.69 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 8.24/5.69 inference(quant_intro,[status(thm)],[45])).
% 8.24/5.69 tff(47,plain,
% 8.24/5.69 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 8.24/5.69 inference(rewrite,[status(thm)],[])).
% 8.24/5.69 tff(48,axiom,(![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound451')).
% 8.26/5.70 tff(49,plain,
% 8.26/5.70 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[48, 47])).
% 8.26/5.70 tff(50,plain,(
% 8.26/5.70 ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 8.26/5.70 inference(skolemize,[status(sab)],[49])).
% 8.26/5.70 tff(51,plain,
% 8.26/5.70 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[50, 46])).
% 8.26/5.70 tff(52,plain,
% 8.26/5.70 (succ(s8, s9) <=> succ(s8, s9)),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(53,axiom,(succ(s8, s9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound9')).
% 8.26/5.70 tff(54,plain,
% 8.26/5.70 (succ(s8, s9)),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[53, 52])).
% 8.26/5.70 tff(55,plain,
% 8.26/5.70 (((~![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))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(56,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(57,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9)),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[56, 55])).
% 8.26/5.70 tff(58,plain,
% 8.26/5.70 (trans(s8, s9)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[57, 54, 51])).
% 8.26/5.70 tff(59,plain,
% 8.26/5.70 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always3(X)) | always3(Y)) <=> ((~trans(X, Y)) | (~always3(X)) | always3(Y)))),
% 8.26/5.70 inference(bind,[status(th)],[])).
% 8.26/5.70 tff(60,plain,
% 8.26/5.70 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 8.26/5.70 inference(quant_intro,[status(thm)],[59])).
% 8.26/5.70 tff(61,plain,
% 8.26/5.70 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(62,plain,
% 8.26/5.70 (^[Y: $i, X: $i] : rewrite(((always3(Y) | (~trans(X, Y))) | (~always3(X))) <=> ((~trans(X, Y)) | (~always3(X)) | always3(Y)))),
% 8.26/5.70 inference(bind,[status(th)],[])).
% 8.26/5.70 tff(63,plain,
% 8.26/5.70 (![Y: $i, X: $i] : ((always3(Y) | (~trans(X, Y))) | (~always3(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 8.26/5.70 inference(quant_intro,[status(thm)],[62])).
% 8.26/5.70 tff(64,axiom,(![Y: $i, X: $i] : ((always3(Y) | (~trans(X, Y))) | (~always3(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty2')).
% 8.26/5.70 tff(65,plain,
% 8.26/5.70 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[64, 63])).
% 8.26/5.70 tff(66,plain,
% 8.26/5.70 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[65, 61])).
% 8.26/5.70 tff(67,plain,(
% 8.26/5.70 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 8.26/5.70 inference(skolemize,[status(sab)],[66])).
% 8.26/5.70 tff(68,plain,
% 8.26/5.70 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[67, 60])).
% 8.26/5.70 tff(69,plain,
% 8.26/5.70 (((~![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))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(70,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s8, s9)) | (~always3(s8)) | always3(s9))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(71,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s8, s9)) | (~always3(s8)) | always3(s9)),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[70, 69])).
% 8.26/5.70 tff(72,plain,
% 8.26/5.70 ((~always3(s8)) | always3(s9)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[71, 68, 58])).
% 8.26/5.70 tff(73,plain,
% 8.26/5.70 (~always3(s8)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[72, 15])).
% 8.26/5.70 tff(74,plain,
% 8.26/5.70 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s8) | (~node4(s8)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s8) | (~node4(s8)))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(75,plain,
% 8.26/5.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s8) | (~node4(s8)))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(76,plain,
% 8.26/5.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s8) | (~node4(s8))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[75, 74])).
% 8.26/5.70 tff(77,plain,
% 8.26/5.70 (~node4(s8)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[76, 22, 73])).
% 8.26/5.70 tff(78,plain,
% 8.26/5.70 (succ(s7, s8) <=> succ(s7, s8)),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(79,axiom,(succ(s7, s8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound8')).
% 8.26/5.70 tff(80,plain,
% 8.26/5.70 (succ(s7, s8)),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[79, 78])).
% 8.26/5.70 tff(81,plain,
% 8.26/5.70 (((~![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))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(82,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(83,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8)),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[82, 81])).
% 8.26/5.70 tff(84,plain,
% 8.26/5.70 (trans(s7, s8)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[83, 80, 51])).
% 8.26/5.70 tff(85,plain,
% 8.26/5.70 (((~![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))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(86,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s7, s8)) | (~always3(s7)) | always3(s8))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(87,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s7, s8)) | (~always3(s7)) | always3(s8)),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[86, 85])).
% 8.26/5.70 tff(88,plain,
% 8.26/5.70 ((~always3(s7)) | always3(s8)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[87, 68, 84])).
% 8.26/5.70 tff(89,plain,
% 8.26/5.70 (~always3(s7)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[88, 73])).
% 8.26/5.70 tff(90,assumption,(~always3(s7)), introduced(assumption)).
% 8.26/5.70 tff(91,plain,
% 8.26/5.70 (succ(s6, s7) <=> succ(s6, s7)),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(92,axiom,(succ(s6, s7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound7')).
% 8.26/5.70 tff(93,plain,
% 8.26/5.70 (succ(s6, s7)),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[92, 91])).
% 8.26/5.70 tff(94,plain,
% 8.26/5.70 (((~![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))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(95,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(96,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7)),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[95, 94])).
% 8.26/5.70 tff(97,plain,
% 8.26/5.70 (trans(s6, s7)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[96, 93, 51])).
% 8.26/5.70 tff(98,plain,
% 8.26/5.70 (((~![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))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(99,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s6, s7)) | (~always3(s6)) | always3(s7))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(100,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s6, s7)) | (~always3(s6)) | always3(s7)),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[99, 98])).
% 8.26/5.70 tff(101,plain,
% 8.26/5.70 ((~always3(s6)) | always3(s7)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[100, 68, 97])).
% 8.26/5.70 tff(102,plain,
% 8.26/5.70 (~always3(s6)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[101, 90])).
% 8.26/5.70 tff(103,plain,
% 8.26/5.70 (succ(s5, s6) <=> succ(s5, s6)),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(104,axiom,(succ(s5, s6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound6')).
% 8.26/5.70 tff(105,plain,
% 8.26/5.70 (succ(s5, s6)),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[104, 103])).
% 8.26/5.70 tff(106,plain,
% 8.26/5.70 (((~![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))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(107,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(108,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6)),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[107, 106])).
% 8.26/5.70 tff(109,plain,
% 8.26/5.70 (trans(s5, s6)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[108, 105, 51])).
% 8.26/5.70 tff(110,plain,
% 8.26/5.70 (((~![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))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(111,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s5, s6)) | (~always3(s5)) | always3(s6))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(112,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s5, s6)) | (~always3(s5)) | always3(s6)),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[111, 110])).
% 8.26/5.70 tff(113,plain,
% 8.26/5.70 ((~always3(s5)) | always3(s6)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[112, 68, 109])).
% 8.26/5.70 tff(114,plain,
% 8.26/5.70 (~always3(s5)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[113, 102])).
% 8.26/5.70 tff(115,plain,
% 8.26/5.70 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s5) | (~node4(s5)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s5) | (~node4(s5)))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(116,plain,
% 8.26/5.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s5) | (~node4(s5)))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(117,plain,
% 8.26/5.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s5) | (~node4(s5))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[116, 115])).
% 8.26/5.70 tff(118,plain,
% 8.26/5.70 (~node4(s5)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[117, 22, 114])).
% 8.26/5.70 tff(119,plain,
% 8.26/5.70 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s7) | (~node4(s7)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s7) | (~node4(s7)))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(120,plain,
% 8.26/5.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s7) | (~node4(s7)))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(121,plain,
% 8.26/5.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s7) | (~node4(s7))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[120, 119])).
% 8.26/5.70 tff(122,plain,
% 8.26/5.70 (~node4(s7)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[121, 22, 90])).
% 8.26/5.70 tff(123,assumption,(~xuntil6(s7)), introduced(assumption)).
% 8.26/5.70 tff(124,plain,
% 8.26/5.70 (((~![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)))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(125,plain,
% 8.26/5.70 ((node4(s7) | (~until5(s7)) | xuntil6(s7)) <=> (xuntil6(s7) | node4(s7) | (~until5(s7)))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(126,plain,
% 8.26/5.70 (((~![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))))),
% 8.26/5.70 inference(monotonicity,[status(thm)],[125])).
% 8.26/5.70 tff(127,plain,
% 8.26/5.70 (((~![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)))),
% 8.26/5.70 inference(transitivity,[status(thm)],[126, 124])).
% 8.26/5.70 tff(128,plain,
% 8.26/5.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s7) | (~until5(s7)) | xuntil6(s7))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(129,plain,
% 8.26/5.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s7) | node4(s7) | (~until5(s7))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[128, 127])).
% 8.26/5.70 tff(130,plain,
% 8.26/5.70 (node4(s7) | (~until5(s7))),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[129, 36, 123])).
% 8.26/5.70 tff(131,plain,
% 8.26/5.70 (~until5(s7)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[130, 122])).
% 8.26/5.70 tff(132,plain,
% 8.26/5.70 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)) <=> ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)))),
% 8.26/5.70 inference(bind,[status(th)],[])).
% 8.26/5.70 tff(133,plain,
% 8.26/5.70 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 8.26/5.70 inference(quant_intro,[status(thm)],[132])).
% 8.26/5.70 tff(134,plain,
% 8.26/5.70 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(135,plain,
% 8.26/5.70 (^[Y: $i, X: $i] : rewrite(((until5(Y) | (~succ(X, Y))) | (~xuntil6(X))) <=> ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)))),
% 8.26/5.70 inference(bind,[status(th)],[])).
% 8.26/5.70 tff(136,plain,
% 8.26/5.70 (![Y: $i, X: $i] : ((until5(Y) | (~succ(X, Y))) | (~xuntil6(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 8.26/5.70 inference(quant_intro,[status(thm)],[135])).
% 8.26/5.70 tff(137,axiom,(![Y: $i, X: $i] : ((until5(Y) | (~succ(X, Y))) | (~xuntil6(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty7')).
% 8.26/5.70 tff(138,plain,
% 8.26/5.70 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[137, 136])).
% 8.26/5.70 tff(139,plain,
% 8.26/5.70 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[138, 134])).
% 8.26/5.70 tff(140,plain,(
% 8.26/5.70 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 8.26/5.70 inference(skolemize,[status(sab)],[139])).
% 8.26/5.70 tff(141,plain,
% 8.26/5.70 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[140, 133])).
% 8.26/5.70 tff(142,plain,
% 8.26/5.70 (((~![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))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(143,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s6, s7)) | (~xuntil6(s6)) | until5(s7))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(144,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s6, s7)) | (~xuntil6(s6)) | until5(s7)),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[143, 142])).
% 8.26/5.70 tff(145,plain,
% 8.26/5.70 ((~xuntil6(s6)) | until5(s7)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[144, 93, 141])).
% 8.26/5.70 tff(146,plain,
% 8.26/5.70 (~xuntil6(s6)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[145, 131])).
% 8.26/5.70 tff(147,assumption,(node4(s6)), introduced(assumption)).
% 8.26/5.70 tff(148,plain,
% 8.26/5.70 (^[X: $i] : refl((m_main_v_request(X) | (~node4(X))) <=> (m_main_v_request(X) | (~node4(X))))),
% 8.26/5.70 inference(bind,[status(th)],[])).
% 8.26/5.70 tff(149,plain,
% 8.26/5.70 (![X: $i] : (m_main_v_request(X) | (~node4(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 8.26/5.70 inference(quant_intro,[status(thm)],[148])).
% 8.26/5.70 tff(150,plain,
% 8.26/5.70 (![X: $i] : (m_main_v_request(X) | (~node4(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(151,axiom,(![X: $i] : (m_main_v_request(X) | (~node4(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty4')).
% 8.26/5.70 tff(152,plain,
% 8.26/5.70 (![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[151, 150])).
% 8.26/5.70 tff(153,plain,(
% 8.26/5.70 ![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 8.26/5.70 inference(skolemize,[status(sab)],[152])).
% 8.26/5.70 tff(154,plain,
% 8.26/5.70 (![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[153, 149])).
% 8.26/5.70 tff(155,plain,
% 8.26/5.70 (((~![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)))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(156,plain,
% 8.26/5.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s6) | (~node4(s6)))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(157,plain,
% 8.26/5.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s6) | (~node4(s6))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[156, 155])).
% 8.26/5.70 tff(158,plain,
% 8.26/5.70 (m_main_v_request(s6)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[157, 154, 147])).
% 8.26/5.70 tff(159,plain,
% 8.26/5.70 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s6) | (~node4(s6)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s6) | (~node4(s6)))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(160,plain,
% 8.26/5.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s6) | (~node4(s6)))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(161,plain,
% 8.26/5.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s6) | (~node4(s6))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[160, 159])).
% 8.26/5.70 tff(162,plain,
% 8.26/5.70 (always3(s6)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[161, 22, 147])).
% 8.26/5.70 tff(163,plain,
% 8.26/5.70 (always3(s7)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[101, 162])).
% 8.26/5.70 tff(164,plain,
% 8.26/5.70 (^[X: $i] : refl(((~m_main_v_state(X, c_busy)) | (~always3(X))) <=> ((~m_main_v_state(X, c_busy)) | (~always3(X))))),
% 8.26/5.70 inference(bind,[status(th)],[])).
% 8.26/5.70 tff(165,plain,
% 8.26/5.70 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X))) <=> ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 8.26/5.70 inference(quant_intro,[status(thm)],[164])).
% 8.26/5.70 tff(166,plain,
% 8.26/5.70 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X))) <=> ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(167,axiom,(![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty1')).
% 8.26/5.70 tff(168,plain,
% 8.26/5.70 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[167, 166])).
% 8.26/5.70 tff(169,plain,(
% 8.26/5.70 ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 8.26/5.70 inference(skolemize,[status(sab)],[168])).
% 8.26/5.70 tff(170,plain,
% 8.26/5.70 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[169, 165])).
% 8.26/5.70 tff(171,plain,
% 8.26/5.70 (((~![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)))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(172,plain,
% 8.26/5.70 (((~m_main_v_state(s7, c_busy)) | (~always3(s7))) <=> ((~always3(s7)) | (~m_main_v_state(s7, c_busy)))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(173,plain,
% 8.26/5.70 (((~![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))))),
% 8.26/5.70 inference(monotonicity,[status(thm)],[172])).
% 8.26/5.70 tff(174,plain,
% 8.26/5.70 (((~![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)))),
% 8.26/5.70 inference(transitivity,[status(thm)],[173, 171])).
% 8.26/5.70 tff(175,plain,
% 8.26/5.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s7, c_busy)) | (~always3(s7)))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(176,plain,
% 8.26/5.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s7)) | (~m_main_v_state(s7, c_busy))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[175, 174])).
% 8.26/5.70 tff(177,plain,
% 8.26/5.70 (~m_main_v_state(s7, c_busy)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[176, 170, 163])).
% 8.26/5.70 tff(178,plain,
% 8.26/5.70 (((~![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))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(179,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s6, s7)) | node2(s6, s7))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(180,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s6, s7)) | node2(s6, s7)),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[179, 178])).
% 8.26/5.70 tff(181,plain,
% 8.26/5.70 (node2(s6, s7)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[180, 7, 97])).
% 8.26/5.70 tff(182,plain,
% 8.26/5.70 (^[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))))),
% 8.26/5.70 inference(bind,[status(th)],[])).
% 8.26/5.70 tff(183,plain,
% 8.26/5.70 (![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))) <=> ![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 8.26/5.70 inference(quant_intro,[status(thm)],[182])).
% 8.26/5.70 tff(184,plain,
% 8.26/5.70 (![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))) <=> ![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(185,plain,
% 8.26/5.70 (^[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)))))),
% 8.26/5.70 inference(bind,[status(th)],[])).
% 8.26/5.70 tff(186,plain,
% 8.26/5.70 (![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)))),
% 8.26/5.70 inference(quant_intro,[status(thm)],[185])).
% 8.26/5.70 tff(187,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/sandbox/benchmark/theBenchmark.p','m_main_6')).
% 8.26/5.70 tff(188,plain,
% 8.26/5.70 (![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)))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[187, 186])).
% 8.26/5.70 tff(189,plain,
% 8.26/5.70 (![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)))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[188, 184])).
% 8.26/5.70 tff(190,plain,(
% 8.26/5.70 ![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)))),
% 8.26/5.70 inference(skolemize,[status(sab)],[189])).
% 8.26/5.70 tff(191,plain,
% 8.26/5.70 (![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)))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[190, 183])).
% 8.26/5.70 tff(192,plain,
% 8.26/5.70 (((~![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(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)))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(193,plain,
% 8.26/5.70 ((~![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(s6, c_ready)) | (~node2(s6, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6)))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(194,plain,
% 8.26/5.70 ((~![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(s6, c_ready)) | (~node2(s6, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[193, 192])).
% 8.26/5.70 tff(195,plain,
% 8.26/5.70 ((~m_main_v_state(s6, c_ready)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6))),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[194, 191, 181])).
% 8.26/5.70 tff(196,plain,
% 8.26/5.70 (~m_main_v_state(s6, c_ready)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[195, 177, 158])).
% 8.26/5.70 tff(197,plain,
% 8.26/5.70 (((~![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)))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(198,plain,
% 8.26/5.70 (((~m_main_v_state(s6, c_busy)) | (~always3(s6))) <=> ((~always3(s6)) | (~m_main_v_state(s6, c_busy)))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(199,plain,
% 8.26/5.70 (((~![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))))),
% 8.26/5.70 inference(monotonicity,[status(thm)],[198])).
% 8.26/5.70 tff(200,plain,
% 8.26/5.70 (((~![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)))),
% 8.26/5.70 inference(transitivity,[status(thm)],[199, 197])).
% 8.26/5.70 tff(201,plain,
% 8.26/5.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s6, c_busy)) | (~always3(s6)))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(202,plain,
% 8.26/5.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s6)) | (~m_main_v_state(s6, c_busy))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[201, 200])).
% 8.26/5.70 tff(203,plain,
% 8.26/5.70 (~m_main_v_state(s6, c_busy)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[202, 170, 162])).
% 8.26/5.70 tff(204,plain,
% 8.26/5.70 (^[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)))),
% 8.26/5.70 inference(bind,[status(th)],[])).
% 8.26/5.70 tff(205,plain,
% 8.26/5.70 (![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))),
% 8.26/5.70 inference(quant_intro,[status(thm)],[204])).
% 8.26/5.70 tff(206,plain,
% 8.26/5.70 (![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))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(207,plain,
% 8.26/5.70 (^[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)))),
% 8.26/5.70 inference(bind,[status(th)],[])).
% 8.26/5.70 tff(208,plain,
% 8.26/5.70 (![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))),
% 8.26/5.70 inference(quant_intro,[status(thm)],[207])).
% 8.26/5.70 tff(209,axiom,(![X: $i] : (m_main_v_state(X, c_ready) | m_main_v_state(X, c_busy))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_1')).
% 8.26/5.70 tff(210,plain,
% 8.26/5.70 (![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[209, 208])).
% 8.26/5.70 tff(211,plain,
% 8.26/5.70 (![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[210, 206])).
% 8.26/5.70 tff(212,plain,(
% 8.26/5.70 ![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 8.26/5.70 inference(skolemize,[status(sab)],[211])).
% 8.26/5.70 tff(213,plain,
% 8.26/5.70 (![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[212, 205])).
% 8.26/5.70 tff(214,plain,
% 8.26/5.70 (((~![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))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(215,plain,
% 8.26/5.70 ((~![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))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(216,plain,
% 8.26/5.70 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s6, c_busy) | m_main_v_state(s6, c_ready)),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[215, 214])).
% 8.26/5.70 tff(217,plain,
% 8.26/5.70 ($false),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[216, 213, 203, 196])).
% 8.26/5.70 tff(218,plain,(~node4(s6)), inference(lemma,lemma(discharge,[]))).
% 8.26/5.70 tff(219,plain,
% 8.26/5.70 (((~![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)))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(220,plain,
% 8.26/5.70 ((node4(s6) | (~until5(s6)) | xuntil6(s6)) <=> (xuntil6(s6) | node4(s6) | (~until5(s6)))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(221,plain,
% 8.26/5.70 (((~![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))))),
% 8.26/5.70 inference(monotonicity,[status(thm)],[220])).
% 8.26/5.70 tff(222,plain,
% 8.26/5.70 (((~![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)))),
% 8.26/5.70 inference(transitivity,[status(thm)],[221, 219])).
% 8.26/5.70 tff(223,plain,
% 8.26/5.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s6) | (~until5(s6)) | xuntil6(s6))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(224,plain,
% 8.26/5.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s6) | node4(s6) | (~until5(s6))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[223, 222])).
% 8.26/5.70 tff(225,plain,
% 8.26/5.70 (xuntil6(s6) | (~until5(s6))),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[224, 36, 218])).
% 8.26/5.70 tff(226,plain,
% 8.26/5.70 (~until5(s6)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[225, 146])).
% 8.26/5.70 tff(227,plain,
% 8.26/5.70 (((~![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))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(228,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s5, s6)) | (~xuntil6(s5)) | until5(s6))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(229,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s5, s6)) | (~xuntil6(s5)) | until5(s6)),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[228, 227])).
% 8.26/5.70 tff(230,plain,
% 8.26/5.70 ((~xuntil6(s5)) | until5(s6)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[229, 105, 141])).
% 8.26/5.70 tff(231,plain,
% 8.26/5.70 (~xuntil6(s5)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[230, 226])).
% 8.26/5.70 tff(232,plain,
% 8.26/5.70 (((~![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)))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(233,plain,
% 8.26/5.70 ((node4(s5) | (~until5(s5)) | xuntil6(s5)) <=> (xuntil6(s5) | node4(s5) | (~until5(s5)))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(234,plain,
% 8.26/5.70 (((~![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))))),
% 8.26/5.70 inference(monotonicity,[status(thm)],[233])).
% 8.26/5.70 tff(235,plain,
% 8.26/5.70 (((~![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)))),
% 8.26/5.70 inference(transitivity,[status(thm)],[234, 232])).
% 8.26/5.70 tff(236,plain,
% 8.26/5.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s5) | (~until5(s5)) | xuntil6(s5))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(237,plain,
% 8.26/5.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s5) | node4(s5) | (~until5(s5))),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[236, 235])).
% 8.26/5.70 tff(238,plain,
% 8.26/5.70 (~until5(s5)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[237, 36, 231, 118])).
% 8.26/5.70 tff(239,plain,
% 8.26/5.70 (succ(s4, s5) <=> succ(s4, s5)),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(240,axiom,(succ(s4, s5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound5')).
% 8.26/5.70 tff(241,plain,
% 8.26/5.70 (succ(s4, s5)),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[240, 239])).
% 8.26/5.70 tff(242,plain,
% 8.26/5.70 (((~![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))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(243,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s4, s5)) | (~xuntil6(s4)) | until5(s5))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(244,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s4, s5)) | (~xuntil6(s4)) | until5(s5)),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[243, 242])).
% 8.26/5.70 tff(245,plain,
% 8.26/5.70 ((~xuntil6(s4)) | until5(s5)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[244, 241, 141])).
% 8.26/5.70 tff(246,plain,
% 8.26/5.70 (~xuntil6(s4)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[245, 238])).
% 8.26/5.70 tff(247,plain,
% 8.26/5.70 (((~![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))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(248,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(249,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5)),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[248, 247])).
% 8.26/5.70 tff(250,plain,
% 8.26/5.70 (trans(s4, s5)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[249, 241, 51])).
% 8.26/5.70 tff(251,plain,
% 8.26/5.70 (((~![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))),
% 8.26/5.70 inference(rewrite,[status(thm)],[])).
% 8.26/5.70 tff(252,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s4, s5)) | (~always3(s4)) | always3(s5))),
% 8.26/5.70 inference(quant_inst,[status(thm)],[])).
% 8.26/5.70 tff(253,plain,
% 8.26/5.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s4, s5)) | (~always3(s4)) | always3(s5)),
% 8.26/5.70 inference(modus_ponens,[status(thm)],[252, 251])).
% 8.26/5.70 tff(254,plain,
% 8.26/5.70 ((~always3(s4)) | always3(s5)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[253, 68, 250])).
% 8.26/5.70 tff(255,plain,
% 8.26/5.70 (~always3(s4)),
% 8.26/5.70 inference(unit_resolution,[status(thm)],[254, 114])).
% 8.26/5.70 tff(256,plain,
% 8.26/5.70 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s4) | (~node4(s4)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s4) | (~node4(s4)))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(257,plain,
% 8.26/5.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s4) | (~node4(s4)))),
% 8.26/5.71 inference(quant_inst,[status(thm)],[])).
% 8.26/5.71 tff(258,plain,
% 8.26/5.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s4) | (~node4(s4))),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[257, 256])).
% 8.26/5.71 tff(259,plain,
% 8.26/5.71 (~node4(s4)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[258, 22, 255])).
% 8.26/5.71 tff(260,plain,
% 8.26/5.71 (((~![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)))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(261,plain,
% 8.26/5.71 ((node4(s4) | (~until5(s4)) | xuntil6(s4)) <=> (xuntil6(s4) | node4(s4) | (~until5(s4)))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(262,plain,
% 8.26/5.71 (((~![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))))),
% 8.26/5.71 inference(monotonicity,[status(thm)],[261])).
% 8.26/5.71 tff(263,plain,
% 8.26/5.71 (((~![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)))),
% 8.26/5.71 inference(transitivity,[status(thm)],[262, 260])).
% 8.26/5.71 tff(264,plain,
% 8.26/5.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s4) | (~until5(s4)) | xuntil6(s4))),
% 8.26/5.71 inference(quant_inst,[status(thm)],[])).
% 8.26/5.71 tff(265,plain,
% 8.26/5.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s4) | node4(s4) | (~until5(s4))),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[264, 263])).
% 8.26/5.71 tff(266,plain,
% 8.26/5.71 (xuntil6(s4) | (~until5(s4))),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[265, 36, 259])).
% 8.26/5.71 tff(267,plain,
% 8.26/5.71 (~until5(s4)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[266, 246])).
% 8.26/5.71 tff(268,plain,
% 8.26/5.71 (succ(s3, s4) <=> succ(s3, s4)),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(269,axiom,(succ(s3, s4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound4')).
% 8.26/5.71 tff(270,plain,
% 8.26/5.71 (succ(s3, s4)),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[269, 268])).
% 8.26/5.71 tff(271,plain,
% 8.26/5.71 (((~![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))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(272,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s3, s4)) | (~xuntil6(s3)) | until5(s4))),
% 8.26/5.71 inference(quant_inst,[status(thm)],[])).
% 8.26/5.71 tff(273,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s3, s4)) | (~xuntil6(s3)) | until5(s4)),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[272, 271])).
% 8.26/5.71 tff(274,plain,
% 8.26/5.71 ((~xuntil6(s3)) | until5(s4)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[273, 270, 141])).
% 8.26/5.71 tff(275,plain,
% 8.26/5.71 (~xuntil6(s3)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[274, 267])).
% 8.26/5.71 tff(276,plain,
% 8.26/5.71 (((~![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))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(277,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))),
% 8.26/5.71 inference(quant_inst,[status(thm)],[])).
% 8.26/5.71 tff(278,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4)),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[277, 276])).
% 8.26/5.71 tff(279,plain,
% 8.26/5.71 (trans(s3, s4)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[278, 270, 51])).
% 8.26/5.71 tff(280,plain,
% 8.26/5.71 (((~![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))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(281,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s3, s4)) | (~always3(s3)) | always3(s4))),
% 8.26/5.71 inference(quant_inst,[status(thm)],[])).
% 8.26/5.71 tff(282,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s3, s4)) | (~always3(s3)) | always3(s4)),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[281, 280])).
% 8.26/5.71 tff(283,plain,
% 8.26/5.71 ((~always3(s3)) | always3(s4)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[282, 68, 279])).
% 8.26/5.71 tff(284,plain,
% 8.26/5.71 (~always3(s3)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[283, 255])).
% 8.26/5.71 tff(285,plain,
% 8.26/5.71 (succ(s2, s3) <=> succ(s2, s3)),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(286,axiom,(succ(s2, s3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound3')).
% 8.26/5.71 tff(287,plain,
% 8.26/5.71 (succ(s2, s3)),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[286, 285])).
% 8.26/5.71 tff(288,plain,
% 8.26/5.71 (((~![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))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(289,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))),
% 8.26/5.71 inference(quant_inst,[status(thm)],[])).
% 8.26/5.71 tff(290,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3)),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[289, 288])).
% 8.26/5.71 tff(291,plain,
% 8.26/5.71 (trans(s2, s3)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[290, 287, 51])).
% 8.26/5.71 tff(292,plain,
% 8.26/5.71 (((~![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))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(293,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s2, s3)) | (~always3(s2)) | always3(s3))),
% 8.26/5.71 inference(quant_inst,[status(thm)],[])).
% 8.26/5.71 tff(294,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s2, s3)) | (~always3(s2)) | always3(s3)),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[293, 292])).
% 8.26/5.71 tff(295,plain,
% 8.26/5.71 ((~always3(s2)) | always3(s3)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[294, 68, 291])).
% 8.26/5.71 tff(296,plain,
% 8.26/5.71 (~always3(s2)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[295, 284])).
% 8.26/5.71 tff(297,plain,
% 8.26/5.71 (succ(s1, s2) <=> succ(s1, s2)),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(298,axiom,(succ(s1, s2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound2')).
% 8.26/5.71 tff(299,plain,
% 8.26/5.71 (succ(s1, s2)),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[298, 297])).
% 8.26/5.71 tff(300,plain,
% 8.26/5.71 (((~![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))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(301,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))),
% 8.26/5.71 inference(quant_inst,[status(thm)],[])).
% 8.26/5.71 tff(302,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2)),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[301, 300])).
% 8.26/5.71 tff(303,plain,
% 8.26/5.71 (trans(s1, s2)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[302, 299, 51])).
% 8.26/5.71 tff(304,plain,
% 8.26/5.71 (((~![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))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(305,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s1, s2)) | (~always3(s1)) | always3(s2))),
% 8.26/5.71 inference(quant_inst,[status(thm)],[])).
% 8.26/5.71 tff(306,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s1, s2)) | (~always3(s1)) | always3(s2)),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[305, 304])).
% 8.26/5.71 tff(307,plain,
% 8.26/5.71 ((~always3(s1)) | always3(s2)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[306, 68, 303])).
% 8.26/5.71 tff(308,plain,
% 8.26/5.71 (~always3(s1)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[307, 296])).
% 8.26/5.71 tff(309,plain,
% 8.26/5.71 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s1) | (~node4(s1)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s1) | (~node4(s1)))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(310,plain,
% 8.26/5.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s1) | (~node4(s1)))),
% 8.26/5.71 inference(quant_inst,[status(thm)],[])).
% 8.26/5.71 tff(311,plain,
% 8.26/5.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s1) | (~node4(s1))),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[310, 309])).
% 8.26/5.71 tff(312,plain,
% 8.26/5.71 (~node4(s1)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[311, 22, 308])).
% 8.26/5.71 tff(313,plain,
% 8.26/5.71 (succ(s0, s1) <=> succ(s0, s1)),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(314,axiom,(succ(s0, s1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound1')).
% 8.26/5.71 tff(315,plain,
% 8.26/5.71 (succ(s0, s1)),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[314, 313])).
% 8.26/5.71 tff(316,plain,
% 8.26/5.71 (((~![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))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(317,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))),
% 8.26/5.71 inference(quant_inst,[status(thm)],[])).
% 8.26/5.71 tff(318,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1)),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[317, 316])).
% 8.26/5.71 tff(319,plain,
% 8.26/5.71 (trans(s0, s1)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[318, 315, 51])).
% 8.26/5.71 tff(320,plain,
% 8.26/5.71 (((~![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))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(321,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s0, s1)) | (~always3(s0)) | always3(s1))),
% 8.26/5.71 inference(quant_inst,[status(thm)],[])).
% 8.26/5.71 tff(322,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s0, s1)) | (~always3(s0)) | always3(s1)),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[321, 320])).
% 8.26/5.71 tff(323,plain,
% 8.26/5.71 ((~always3(s0)) | always3(s1)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[322, 68, 319])).
% 8.26/5.71 tff(324,plain,
% 8.26/5.71 (~always3(s0)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[323, 308])).
% 8.26/5.71 tff(325,plain,
% 8.26/5.71 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s0) | (~node4(s0)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s0) | (~node4(s0)))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(326,plain,
% 8.26/5.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s0) | (~node4(s0)))),
% 8.26/5.71 inference(quant_inst,[status(thm)],[])).
% 8.26/5.71 tff(327,plain,
% 8.26/5.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s0) | (~node4(s0))),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[326, 325])).
% 8.26/5.71 tff(328,plain,
% 8.26/5.71 (~node4(s0)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[327, 22, 324])).
% 8.26/5.71 tff(329,plain,
% 8.26/5.71 (until5(s0) <=> until5(s0)),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(330,axiom,(until5(s0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty13')).
% 8.26/5.71 tff(331,plain,
% 8.26/5.71 (until5(s0)),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[330, 329])).
% 8.26/5.71 tff(332,plain,
% 8.26/5.71 (((~![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)))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(333,plain,
% 8.26/5.71 ((node4(s0) | (~until5(s0)) | xuntil6(s0)) <=> (xuntil6(s0) | node4(s0) | (~until5(s0)))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(334,plain,
% 8.26/5.71 (((~![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))))),
% 8.26/5.71 inference(monotonicity,[status(thm)],[333])).
% 8.26/5.71 tff(335,plain,
% 8.26/5.71 (((~![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)))),
% 8.26/5.71 inference(transitivity,[status(thm)],[334, 332])).
% 8.26/5.71 tff(336,plain,
% 8.26/5.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s0) | (~until5(s0)) | xuntil6(s0))),
% 8.26/5.71 inference(quant_inst,[status(thm)],[])).
% 8.26/5.71 tff(337,plain,
% 8.26/5.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s0) | node4(s0) | (~until5(s0))),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[336, 335])).
% 8.26/5.71 tff(338,plain,
% 8.26/5.71 (xuntil6(s0) | node4(s0)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[337, 36, 331])).
% 8.26/5.71 tff(339,plain,
% 8.26/5.71 (xuntil6(s0)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[338, 328])).
% 8.26/5.71 tff(340,plain,
% 8.26/5.71 (((~![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))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(341,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s0, s1)) | (~xuntil6(s0)) | until5(s1))),
% 8.26/5.71 inference(quant_inst,[status(thm)],[])).
% 8.26/5.71 tff(342,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s0, s1)) | (~xuntil6(s0)) | until5(s1)),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[341, 340])).
% 8.26/5.71 tff(343,plain,
% 8.26/5.71 ((~xuntil6(s0)) | until5(s1)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[342, 315, 141])).
% 8.26/5.71 tff(344,plain,
% 8.26/5.71 (until5(s1)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[343, 339])).
% 8.26/5.71 tff(345,plain,
% 8.26/5.71 (((~![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)))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(346,plain,
% 8.26/5.71 ((node4(s1) | (~until5(s1)) | xuntil6(s1)) <=> (xuntil6(s1) | node4(s1) | (~until5(s1)))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(347,plain,
% 8.26/5.71 (((~![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))))),
% 8.26/5.71 inference(monotonicity,[status(thm)],[346])).
% 8.26/5.71 tff(348,plain,
% 8.26/5.71 (((~![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)))),
% 8.26/5.71 inference(transitivity,[status(thm)],[347, 345])).
% 8.26/5.71 tff(349,plain,
% 8.26/5.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s1) | (~until5(s1)) | xuntil6(s1))),
% 8.26/5.71 inference(quant_inst,[status(thm)],[])).
% 8.26/5.71 tff(350,plain,
% 8.26/5.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s1) | node4(s1) | (~until5(s1))),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[349, 348])).
% 8.26/5.71 tff(351,plain,
% 8.26/5.71 (xuntil6(s1)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[350, 36, 344, 312])).
% 8.26/5.71 tff(352,plain,
% 8.26/5.71 (((~![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))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(353,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s1, s2)) | (~xuntil6(s1)) | until5(s2))),
% 8.26/5.71 inference(quant_inst,[status(thm)],[])).
% 8.26/5.71 tff(354,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s1, s2)) | (~xuntil6(s1)) | until5(s2)),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[353, 352])).
% 8.26/5.71 tff(355,plain,
% 8.26/5.71 ((~xuntil6(s1)) | until5(s2)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[354, 299, 141])).
% 8.26/5.71 tff(356,plain,
% 8.26/5.71 (until5(s2)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[355, 351])).
% 8.26/5.71 tff(357,plain,
% 8.26/5.71 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s2) | (~node4(s2)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s2) | (~node4(s2)))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(358,plain,
% 8.26/5.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s2) | (~node4(s2)))),
% 8.26/5.71 inference(quant_inst,[status(thm)],[])).
% 8.26/5.71 tff(359,plain,
% 8.26/5.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s2) | (~node4(s2))),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[358, 357])).
% 8.26/5.71 tff(360,plain,
% 8.26/5.71 (~node4(s2)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[359, 22, 296])).
% 8.26/5.71 tff(361,plain,
% 8.26/5.71 (((~![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)))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(362,plain,
% 8.26/5.71 ((node4(s2) | (~until5(s2)) | xuntil6(s2)) <=> (xuntil6(s2) | node4(s2) | (~until5(s2)))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(363,plain,
% 8.26/5.71 (((~![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))))),
% 8.26/5.71 inference(monotonicity,[status(thm)],[362])).
% 8.26/5.71 tff(364,plain,
% 8.26/5.71 (((~![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)))),
% 8.26/5.71 inference(transitivity,[status(thm)],[363, 361])).
% 8.26/5.71 tff(365,plain,
% 8.26/5.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s2) | (~until5(s2)) | xuntil6(s2))),
% 8.26/5.71 inference(quant_inst,[status(thm)],[])).
% 8.26/5.71 tff(366,plain,
% 8.26/5.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s2) | node4(s2) | (~until5(s2))),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[365, 364])).
% 8.26/5.71 tff(367,plain,
% 8.26/5.71 (xuntil6(s2) | (~until5(s2))),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[366, 36, 360])).
% 8.26/5.71 tff(368,plain,
% 8.26/5.71 (xuntil6(s2)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[367, 356])).
% 8.26/5.71 tff(369,plain,
% 8.26/5.71 (((~![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))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(370,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s2, s3)) | (~xuntil6(s2)) | until5(s3))),
% 8.26/5.71 inference(quant_inst,[status(thm)],[])).
% 8.26/5.71 tff(371,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s2, s3)) | (~xuntil6(s2)) | until5(s3)),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[370, 369])).
% 8.26/5.71 tff(372,plain,
% 8.26/5.71 ((~xuntil6(s2)) | until5(s3)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[371, 287, 141])).
% 8.26/5.71 tff(373,plain,
% 8.26/5.71 (until5(s3)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[372, 368])).
% 8.26/5.71 tff(374,plain,
% 8.26/5.71 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s3) | (~node4(s3)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s3) | (~node4(s3)))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(375,plain,
% 8.26/5.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s3) | (~node4(s3)))),
% 8.26/5.71 inference(quant_inst,[status(thm)],[])).
% 8.26/5.71 tff(376,plain,
% 8.26/5.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s3) | (~node4(s3))),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[375, 374])).
% 8.26/5.71 tff(377,plain,
% 8.26/5.71 (~node4(s3)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[376, 22, 284])).
% 8.26/5.71 tff(378,plain,
% 8.26/5.71 (((~![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)))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(379,plain,
% 8.26/5.71 ((node4(s3) | (~until5(s3)) | xuntil6(s3)) <=> (xuntil6(s3) | node4(s3) | (~until5(s3)))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(380,plain,
% 8.26/5.71 (((~![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))))),
% 8.26/5.71 inference(monotonicity,[status(thm)],[379])).
% 8.26/5.71 tff(381,plain,
% 8.26/5.71 (((~![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)))),
% 8.26/5.71 inference(transitivity,[status(thm)],[380, 378])).
% 8.26/5.71 tff(382,plain,
% 8.26/5.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s3) | (~until5(s3)) | xuntil6(s3))),
% 8.26/5.71 inference(quant_inst,[status(thm)],[])).
% 8.26/5.71 tff(383,plain,
% 8.26/5.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s3) | node4(s3) | (~until5(s3))),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[382, 381])).
% 8.26/5.71 tff(384,plain,
% 8.26/5.71 (xuntil6(s3) | (~until5(s3))),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[383, 36, 377])).
% 8.26/5.71 tff(385,plain,
% 8.26/5.71 ($false),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[384, 373, 275])).
% 8.26/5.71 tff(386,plain,(always3(s7) | xuntil6(s7)), inference(lemma,lemma(discharge,[]))).
% 8.26/5.71 tff(387,plain,
% 8.26/5.71 (xuntil6(s7)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[386, 89])).
% 8.26/5.71 tff(388,plain,
% 8.26/5.71 (((~![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))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(389,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s7, s8)) | (~xuntil6(s7)) | until5(s8))),
% 8.26/5.71 inference(quant_inst,[status(thm)],[])).
% 8.26/5.71 tff(390,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s7, s8)) | (~xuntil6(s7)) | until5(s8)),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[389, 388])).
% 8.26/5.71 tff(391,plain,
% 8.26/5.71 ((~xuntil6(s7)) | until5(s8)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[390, 80, 141])).
% 8.26/5.71 tff(392,plain,
% 8.26/5.71 (until5(s8)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[391, 387])).
% 8.26/5.71 tff(393,plain,
% 8.26/5.71 (((~![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)))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(394,plain,
% 8.26/5.71 ((node4(s8) | (~until5(s8)) | xuntil6(s8)) <=> (xuntil6(s8) | node4(s8) | (~until5(s8)))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(395,plain,
% 8.26/5.71 (((~![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))))),
% 8.26/5.71 inference(monotonicity,[status(thm)],[394])).
% 8.26/5.71 tff(396,plain,
% 8.26/5.71 (((~![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)))),
% 8.26/5.71 inference(transitivity,[status(thm)],[395, 393])).
% 8.26/5.71 tff(397,plain,
% 8.26/5.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s8) | (~until5(s8)) | xuntil6(s8))),
% 8.26/5.71 inference(quant_inst,[status(thm)],[])).
% 8.26/5.71 tff(398,plain,
% 8.26/5.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s8) | node4(s8) | (~until5(s8))),
% 8.26/5.71 inference(modus_ponens,[status(thm)],[397, 396])).
% 8.26/5.71 tff(399,plain,
% 8.26/5.71 (xuntil6(s8) | node4(s8)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[398, 36, 392])).
% 8.26/5.71 tff(400,plain,
% 8.26/5.71 (xuntil6(s8)),
% 8.26/5.71 inference(unit_resolution,[status(thm)],[399, 77])).
% 8.26/5.71 tff(401,plain,
% 8.26/5.71 (((~![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))),
% 8.26/5.71 inference(rewrite,[status(thm)],[])).
% 8.26/5.71 tff(402,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s8, s9)) | (~xuntil6(s8)) | until5(s9))),
% 8.26/5.71 inference(quant_inst,[status(thm)],[])).
% 8.26/5.71 tff(403,plain,
% 8.26/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s8, s9)) | (~xuntil6(s8)) | until5(s9)),
% 8.27/5.71 inference(modus_ponens,[status(thm)],[402, 401])).
% 8.27/5.71 tff(404,plain,
% 8.27/5.71 ((~xuntil6(s8)) | until5(s9)),
% 8.27/5.71 inference(unit_resolution,[status(thm)],[403, 54, 141])).
% 8.27/5.71 tff(405,plain,
% 8.27/5.71 ($false),
% 8.27/5.71 inference(unit_resolution,[status(thm)],[404, 400, 44])).
% 8.27/5.71 tff(406,plain,(always3(s9) | xuntil6(s9)), inference(lemma,lemma(discharge,[]))).
% 8.27/5.71 tff(407,plain,
% 8.27/5.71 (always3(s9)),
% 8.27/5.71 inference(unit_resolution,[status(thm)],[406, 14])).
% 8.27/5.71 tff(408,plain,
% 8.27/5.71 (((~![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)))),
% 8.27/5.71 inference(rewrite,[status(thm)],[])).
% 8.27/5.71 tff(409,plain,
% 8.27/5.71 (((~m_main_v_state(s9, c_busy)) | (~always3(s9))) <=> ((~always3(s9)) | (~m_main_v_state(s9, c_busy)))),
% 8.27/5.71 inference(rewrite,[status(thm)],[])).
% 8.27/5.71 tff(410,plain,
% 8.27/5.71 (((~![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))))),
% 8.27/5.71 inference(monotonicity,[status(thm)],[409])).
% 8.27/5.71 tff(411,plain,
% 8.27/5.71 (((~![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)))),
% 8.27/5.71 inference(transitivity,[status(thm)],[410, 408])).
% 8.27/5.71 tff(412,plain,
% 8.27/5.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s9, c_busy)) | (~always3(s9)))),
% 8.27/5.71 inference(quant_inst,[status(thm)],[])).
% 8.27/5.71 tff(413,plain,
% 8.27/5.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s9)) | (~m_main_v_state(s9, c_busy))),
% 8.27/5.71 inference(modus_ponens,[status(thm)],[412, 411])).
% 8.27/5.71 tff(414,plain,
% 8.27/5.71 (~m_main_v_state(s9, c_busy)),
% 8.27/5.71 inference(unit_resolution,[status(thm)],[413, 170, 407])).
% 8.27/5.71 tff(415,plain,
% 8.28/5.71 (succ(s9, s10) <=> succ(s9, s10)),
% 8.28/5.71 inference(rewrite,[status(thm)],[])).
% 8.28/5.71 tff(416,axiom,(succ(s9, s10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound10')).
% 8.28/5.71 tff(417,plain,
% 8.28/5.71 (succ(s9, s10)),
% 8.28/5.71 inference(modus_ponens,[status(thm)],[416, 415])).
% 8.28/5.71 tff(418,plain,
% 8.28/5.71 (((~![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))),
% 8.28/5.71 inference(rewrite,[status(thm)],[])).
% 8.28/5.71 tff(419,plain,
% 8.28/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s9, s10)) | trans(s9, s10))),
% 8.28/5.71 inference(quant_inst,[status(thm)],[])).
% 8.28/5.71 tff(420,plain,
% 8.28/5.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s9, s10)) | trans(s9, s10)),
% 8.28/5.71 inference(modus_ponens,[status(thm)],[419, 418])).
% 8.28/5.71 tff(421,plain,
% 8.28/5.71 (trans(s9, s10)),
% 8.28/5.71 inference(unit_resolution,[status(thm)],[420, 417, 51])).
% 8.28/5.71 tff(422,plain,
% 8.28/5.71 (((~![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))),
% 8.28/5.71 inference(rewrite,[status(thm)],[])).
% 8.28/5.71 tff(423,plain,
% 8.28/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s9, s10)) | (~always3(s9)) | always3(s10))),
% 8.28/5.71 inference(quant_inst,[status(thm)],[])).
% 8.28/5.71 tff(424,plain,
% 8.28/5.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s9, s10)) | (~always3(s9)) | always3(s10)),
% 8.28/5.71 inference(modus_ponens,[status(thm)],[423, 422])).
% 8.28/5.71 tff(425,plain,
% 8.28/5.71 ((~always3(s9)) | always3(s10)),
% 8.28/5.71 inference(unit_resolution,[status(thm)],[424, 68, 421])).
% 8.28/5.71 tff(426,plain,
% 8.28/5.71 (always3(s10)),
% 8.28/5.71 inference(unit_resolution,[status(thm)],[425, 407])).
% 8.28/5.71 tff(427,plain,
% 8.28/5.71 (((~![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)))),
% 8.28/5.71 inference(rewrite,[status(thm)],[])).
% 8.28/5.71 tff(428,plain,
% 8.28/5.71 (((~m_main_v_state(s10, c_busy)) | (~always3(s10))) <=> ((~always3(s10)) | (~m_main_v_state(s10, c_busy)))),
% 8.28/5.71 inference(rewrite,[status(thm)],[])).
% 8.28/5.71 tff(429,plain,
% 8.28/5.71 (((~![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))))),
% 8.28/5.71 inference(monotonicity,[status(thm)],[428])).
% 8.28/5.71 tff(430,plain,
% 8.28/5.71 (((~![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)))),
% 8.28/5.71 inference(transitivity,[status(thm)],[429, 427])).
% 8.28/5.71 tff(431,plain,
% 8.28/5.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s10, c_busy)) | (~always3(s10)))),
% 8.28/5.71 inference(quant_inst,[status(thm)],[])).
% 8.28/5.71 tff(432,plain,
% 8.28/5.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s10)) | (~m_main_v_state(s10, c_busy))),
% 8.28/5.71 inference(modus_ponens,[status(thm)],[431, 430])).
% 8.28/5.71 tff(433,plain,
% 8.28/5.71 (~m_main_v_state(s10, c_busy)),
% 8.28/5.71 inference(unit_resolution,[status(thm)],[432, 170, 426])).
% 8.28/5.71 tff(434,plain,
% 8.28/5.71 (((~![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))),
% 8.28/5.71 inference(rewrite,[status(thm)],[])).
% 8.28/5.71 tff(435,plain,
% 8.28/5.71 ((~![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))),
% 8.28/5.71 inference(quant_inst,[status(thm)],[])).
% 8.28/5.71 tff(436,plain,
% 8.28/5.71 ((~![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)),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[435, 434])).
% 8.28/5.72 tff(437,plain,
% 8.28/5.72 (m_main_v_state(s9, c_ready)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[436, 213, 414])).
% 8.28/5.72 tff(438,plain,
% 8.28/5.72 (((~![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))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(439,plain,
% 8.28/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s9, s10)) | node2(s9, s10))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(440,plain,
% 8.28/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s9, s10)) | node2(s9, s10)),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[439, 438])).
% 8.28/5.72 tff(441,plain,
% 8.28/5.72 (node2(s9, s10)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[440, 7, 421])).
% 8.28/5.72 tff(442,plain,
% 8.28/5.72 (((~![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(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)))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(443,plain,
% 8.28/5.72 ((~![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(s9, c_ready)) | (~node2(s9, s10)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s9)))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(444,plain,
% 8.28/5.72 ((~![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(s9, c_ready)) | (~node2(s9, s10)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s9))),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[443, 442])).
% 8.28/5.72 tff(445,plain,
% 8.28/5.72 ((~m_main_v_state(s9, c_ready)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s9))),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[444, 191, 441])).
% 8.28/5.72 tff(446,plain,
% 8.28/5.72 (~m_main_v_request(s9)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[445, 437, 433])).
% 8.28/5.72 tff(447,plain,
% 8.28/5.72 (((~![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)))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(448,plain,
% 8.28/5.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s9) | (~node4(s9)))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(449,plain,
% 8.28/5.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s9) | (~node4(s9))),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[448, 447])).
% 8.28/5.72 tff(450,plain,
% 8.28/5.72 (~node4(s9)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[449, 154, 446])).
% 8.28/5.72 tff(451,plain,
% 8.28/5.72 (~until5(s9)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[43, 450])).
% 8.28/5.72 tff(452,plain,
% 8.28/5.72 (~xuntil6(s8)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[404, 451])).
% 8.28/5.72 tff(453,assumption,(~always3(s8)), introduced(assumption)).
% 8.28/5.72 tff(454,plain,
% 8.28/5.72 (~always3(s7)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[88, 453])).
% 8.28/5.72 tff(455,plain,
% 8.28/5.72 (xuntil6(s7)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[386, 454])).
% 8.28/5.72 tff(456,plain,
% 8.28/5.72 (until5(s8)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[391, 455])).
% 8.28/5.72 tff(457,assumption,(~xuntil6(s8)), introduced(assumption)).
% 8.28/5.72 tff(458,plain,
% 8.28/5.72 (node4(s8) | (~until5(s8))),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[398, 36, 457])).
% 8.28/5.72 tff(459,plain,
% 8.28/5.72 (node4(s8)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[458, 456])).
% 8.28/5.72 tff(460,plain,
% 8.28/5.72 ($false),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[76, 22, 453, 459])).
% 8.28/5.72 tff(461,plain,(always3(s8) | xuntil6(s8)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.72 tff(462,plain,
% 8.28/5.72 (always3(s8)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[461, 452])).
% 8.28/5.72 tff(463,plain,
% 8.28/5.72 (((~![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)))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(464,plain,
% 8.28/5.72 (((~m_main_v_state(s8, c_busy)) | (~always3(s8))) <=> ((~always3(s8)) | (~m_main_v_state(s8, c_busy)))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(465,plain,
% 8.28/5.72 (((~![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))))),
% 8.28/5.72 inference(monotonicity,[status(thm)],[464])).
% 8.28/5.72 tff(466,plain,
% 8.28/5.72 (((~![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)))),
% 8.28/5.72 inference(transitivity,[status(thm)],[465, 463])).
% 8.28/5.72 tff(467,plain,
% 8.28/5.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s8, c_busy)) | (~always3(s8)))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(468,plain,
% 8.28/5.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s8)) | (~m_main_v_state(s8, c_busy))),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[467, 466])).
% 8.28/5.72 tff(469,plain,
% 8.28/5.72 (~m_main_v_state(s8, c_busy)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[468, 170, 462])).
% 8.28/5.72 tff(470,plain,
% 8.28/5.72 (((~![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))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(471,plain,
% 8.28/5.72 ((~![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))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(472,plain,
% 8.28/5.72 ((~![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)),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[471, 470])).
% 8.28/5.72 tff(473,plain,
% 8.28/5.72 (m_main_v_state(s8, c_ready)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[472, 213, 469])).
% 8.28/5.72 tff(474,assumption,(~m_main_v_state(s8, c_busy)), introduced(assumption)).
% 8.28/5.72 tff(475,assumption,(node4(s7)), introduced(assumption)).
% 8.28/5.72 tff(476,plain,
% 8.28/5.72 (((~![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)))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(477,plain,
% 8.28/5.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s7) | (~node4(s7)))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(478,plain,
% 8.28/5.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s7) | (~node4(s7))),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[477, 476])).
% 8.28/5.72 tff(479,plain,
% 8.28/5.72 (m_main_v_request(s7)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[478, 154, 475])).
% 8.28/5.72 tff(480,plain,
% 8.28/5.72 (((~![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))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(481,plain,
% 8.28/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s7, s8)) | node2(s7, s8))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(482,plain,
% 8.28/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s7, s8)) | node2(s7, s8)),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[481, 480])).
% 8.28/5.72 tff(483,plain,
% 8.28/5.72 (node2(s7, s8)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[482, 7, 84])).
% 8.28/5.72 tff(484,plain,
% 8.28/5.72 (((~![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(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)))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(485,plain,
% 8.28/5.72 ((~![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(s7, c_ready)) | (~node2(s7, s8)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s7)))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(486,plain,
% 8.28/5.72 ((~![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(s7, c_ready)) | (~node2(s7, s8)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s7))),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[485, 484])).
% 8.28/5.72 tff(487,plain,
% 8.28/5.72 ((~m_main_v_state(s7, c_ready)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s7))),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[486, 191, 483])).
% 8.28/5.72 tff(488,plain,
% 8.28/5.72 (~m_main_v_state(s7, c_ready)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[487, 479, 474])).
% 8.28/5.72 tff(489,plain,
% 8.28/5.72 (always3(s7)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[121, 22, 475])).
% 8.28/5.72 tff(490,plain,
% 8.28/5.72 (~m_main_v_state(s7, c_busy)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[176, 170, 489])).
% 8.28/5.72 tff(491,plain,
% 8.28/5.72 (((~![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))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(492,plain,
% 8.28/5.72 ((~![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))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(493,plain,
% 8.28/5.72 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s7, c_busy) | m_main_v_state(s7, c_ready)),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[492, 491])).
% 8.28/5.72 tff(494,plain,
% 8.28/5.72 ($false),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[493, 213, 490, 488])).
% 8.28/5.72 tff(495,plain,((~node4(s7)) | m_main_v_state(s8, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.72 tff(496,plain,
% 8.28/5.72 (~node4(s7)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[495, 469])).
% 8.28/5.72 tff(497,assumption,(~xuntil6(s4)), introduced(assumption)).
% 8.28/5.72 tff(498,assumption,(~always3(s4)), introduced(assumption)).
% 8.28/5.72 tff(499,plain,
% 8.28/5.72 (~always3(s3)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[283, 498])).
% 8.28/5.72 tff(500,plain,
% 8.28/5.72 (~node4(s3)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[376, 22, 499])).
% 8.28/5.72 tff(501,plain,
% 8.28/5.72 (~node4(s4)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[258, 22, 498])).
% 8.28/5.72 tff(502,plain,
% 8.28/5.72 (node4(s4) | (~until5(s4))),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[265, 36, 497])).
% 8.28/5.72 tff(503,plain,
% 8.28/5.72 (~until5(s4)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[502, 501])).
% 8.28/5.72 tff(504,plain,
% 8.28/5.72 (~xuntil6(s3)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[274, 503])).
% 8.28/5.72 tff(505,plain,
% 8.28/5.72 (~until5(s3)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[383, 36, 504, 500])).
% 8.28/5.72 tff(506,plain,
% 8.28/5.72 (~xuntil6(s2)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[372, 505])).
% 8.28/5.72 tff(507,plain,
% 8.28/5.72 (~always3(s2)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[295, 499])).
% 8.28/5.72 tff(508,plain,
% 8.28/5.72 (~always3(s1)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[307, 507])).
% 8.28/5.72 tff(509,plain,
% 8.28/5.72 (~node4(s1)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[311, 22, 508])).
% 8.28/5.72 tff(510,plain,
% 8.28/5.72 (~always3(s0)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[323, 508])).
% 8.28/5.72 tff(511,plain,
% 8.28/5.72 (~node4(s0)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[327, 22, 510])).
% 8.28/5.72 tff(512,plain,
% 8.28/5.72 (xuntil6(s0)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[338, 511])).
% 8.28/5.72 tff(513,plain,
% 8.28/5.72 (until5(s1)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[343, 512])).
% 8.28/5.72 tff(514,plain,
% 8.28/5.72 (xuntil6(s1)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[350, 36, 513, 509])).
% 8.28/5.72 tff(515,plain,
% 8.28/5.72 (until5(s2)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[355, 514])).
% 8.28/5.72 tff(516,plain,
% 8.28/5.72 (~node4(s2)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[359, 22, 507])).
% 8.28/5.72 tff(517,plain,
% 8.28/5.72 (xuntil6(s2) | (~until5(s2))),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[366, 36, 516])).
% 8.28/5.72 tff(518,plain,
% 8.28/5.72 ($false),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[517, 515, 506])).
% 8.28/5.72 tff(519,plain,(always3(s4) | xuntil6(s4)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.72 tff(520,plain,
% 8.28/5.72 (always3(s4)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[519, 497])).
% 8.28/5.72 tff(521,plain,
% 8.28/5.72 (always3(s5)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[254, 520])).
% 8.28/5.72 tff(522,plain,
% 8.28/5.72 (((~![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)))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(523,plain,
% 8.28/5.72 (((~m_main_v_state(s5, c_busy)) | (~always3(s5))) <=> ((~always3(s5)) | (~m_main_v_state(s5, c_busy)))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(524,plain,
% 8.28/5.72 (((~![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))))),
% 8.28/5.72 inference(monotonicity,[status(thm)],[523])).
% 8.28/5.72 tff(525,plain,
% 8.28/5.72 (((~![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)))),
% 8.28/5.72 inference(transitivity,[status(thm)],[524, 522])).
% 8.28/5.72 tff(526,plain,
% 8.28/5.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s5, c_busy)) | (~always3(s5)))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(527,plain,
% 8.28/5.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s5)) | (~m_main_v_state(s5, c_busy))),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[526, 525])).
% 8.28/5.72 tff(528,plain,
% 8.28/5.72 (~m_main_v_state(s5, c_busy)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[527, 170, 521])).
% 8.28/5.72 tff(529,plain,
% 8.28/5.72 (((~![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)))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(530,plain,
% 8.28/5.72 (((~m_main_v_state(s4, c_busy)) | (~always3(s4))) <=> ((~always3(s4)) | (~m_main_v_state(s4, c_busy)))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(531,plain,
% 8.28/5.72 (((~![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))))),
% 8.28/5.72 inference(monotonicity,[status(thm)],[530])).
% 8.28/5.72 tff(532,plain,
% 8.28/5.72 (((~![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)))),
% 8.28/5.72 inference(transitivity,[status(thm)],[531, 529])).
% 8.28/5.72 tff(533,plain,
% 8.28/5.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s4, c_busy)) | (~always3(s4)))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(534,plain,
% 8.28/5.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s4)) | (~m_main_v_state(s4, c_busy))),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[533, 532])).
% 8.28/5.72 tff(535,plain,
% 8.28/5.72 (~m_main_v_state(s4, c_busy)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[534, 170, 520])).
% 8.28/5.72 tff(536,plain,
% 8.28/5.72 (((~![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))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(537,plain,
% 8.28/5.72 ((~![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))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(538,plain,
% 8.28/5.72 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s4, c_busy) | m_main_v_state(s4, c_ready)),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[537, 536])).
% 8.28/5.72 tff(539,plain,
% 8.28/5.72 (m_main_v_state(s4, c_ready)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[538, 213, 535])).
% 8.28/5.72 tff(540,assumption,(~xuntil6(s1)), introduced(assumption)).
% 8.28/5.72 tff(541,assumption,(~always3(s1)), introduced(assumption)).
% 8.28/5.72 tff(542,plain,
% 8.28/5.72 (~node4(s1)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[311, 22, 541])).
% 8.28/5.72 tff(543,plain,
% 8.28/5.72 (node4(s1) | (~until5(s1))),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[350, 36, 540])).
% 8.28/5.72 tff(544,plain,
% 8.28/5.72 (~until5(s1)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[543, 542])).
% 8.28/5.72 tff(545,plain,
% 8.28/5.72 (~always3(s0)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[323, 541])).
% 8.28/5.72 tff(546,plain,
% 8.28/5.72 (~node4(s0)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[327, 22, 545])).
% 8.28/5.72 tff(547,plain,
% 8.28/5.72 (xuntil6(s0)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[338, 546])).
% 8.28/5.72 tff(548,plain,
% 8.28/5.72 ($false),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[343, 547, 544])).
% 8.28/5.72 tff(549,plain,(always3(s1) | xuntil6(s1)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.72 tff(550,plain,
% 8.28/5.72 (always3(s1)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[549, 540])).
% 8.28/5.72 tff(551,plain,
% 8.28/5.72 (((~![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)))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(552,plain,
% 8.28/5.72 (((~m_main_v_state(s1, c_busy)) | (~always3(s1))) <=> ((~always3(s1)) | (~m_main_v_state(s1, c_busy)))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(553,plain,
% 8.28/5.72 (((~![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))))),
% 8.28/5.72 inference(monotonicity,[status(thm)],[552])).
% 8.28/5.72 tff(554,plain,
% 8.28/5.72 (((~![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)))),
% 8.28/5.72 inference(transitivity,[status(thm)],[553, 551])).
% 8.28/5.72 tff(555,plain,
% 8.28/5.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s1, c_busy)) | (~always3(s1)))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(556,plain,
% 8.28/5.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s1)) | (~m_main_v_state(s1, c_busy))),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[555, 554])).
% 8.28/5.72 tff(557,plain,
% 8.28/5.72 (~m_main_v_state(s1, c_busy)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[556, 170, 550])).
% 8.28/5.72 tff(558,plain,
% 8.28/5.72 (((~![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))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(559,plain,
% 8.28/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s0, s1)) | node2(s0, s1))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(560,plain,
% 8.28/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s0, s1)) | node2(s0, s1)),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[559, 558])).
% 8.28/5.72 tff(561,plain,
% 8.28/5.72 (node2(s0, s1)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[560, 7, 319])).
% 8.28/5.72 tff(562,plain,
% 8.28/5.72 (m_main_v_state(s0, c_ready) <=> m_main_v_state(s0, c_ready)),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(563,axiom,(m_main_v_state(s0, c_ready)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_3')).
% 8.28/5.72 tff(564,plain,
% 8.28/5.72 (m_main_v_state(s0, c_ready)),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[563, 562])).
% 8.28/5.72 tff(565,plain,
% 8.28/5.72 (((~![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(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)))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(566,plain,
% 8.28/5.72 ((~![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(s0, c_ready)) | (~node2(s0, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s0)))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(567,plain,
% 8.28/5.72 ((~![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(s0, c_ready)) | (~node2(s0, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s0))),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[566, 565])).
% 8.28/5.72 tff(568,plain,
% 8.28/5.72 (m_main_v_state(s1, c_busy) | (~m_main_v_request(s0))),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[567, 564, 191, 561])).
% 8.28/5.72 tff(569,plain,
% 8.28/5.72 (~m_main_v_request(s0)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[568, 557])).
% 8.28/5.72 tff(570,plain,
% 8.28/5.72 (((~![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)))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(571,plain,
% 8.28/5.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s0) | (~node4(s0)))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(572,plain,
% 8.28/5.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s0) | (~node4(s0))),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[571, 570])).
% 8.28/5.72 tff(573,plain,
% 8.28/5.72 (~node4(s0)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[572, 154, 569])).
% 8.28/5.72 tff(574,plain,
% 8.28/5.72 (xuntil6(s0)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[338, 573])).
% 8.28/5.72 tff(575,plain,
% 8.28/5.72 (until5(s1)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[343, 574])).
% 8.28/5.72 tff(576,plain,
% 8.28/5.72 (node4(s1)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[543, 575])).
% 8.28/5.72 tff(577,plain,
% 8.28/5.72 (always3(s2)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[307, 550])).
% 8.28/5.72 tff(578,plain,
% 8.28/5.72 (((~![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)))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(579,plain,
% 8.28/5.72 (((~m_main_v_state(s2, c_busy)) | (~always3(s2))) <=> ((~always3(s2)) | (~m_main_v_state(s2, c_busy)))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(580,plain,
% 8.28/5.72 (((~![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))))),
% 8.28/5.72 inference(monotonicity,[status(thm)],[579])).
% 8.28/5.72 tff(581,plain,
% 8.28/5.72 (((~![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)))),
% 8.28/5.72 inference(transitivity,[status(thm)],[580, 578])).
% 8.28/5.72 tff(582,plain,
% 8.28/5.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s2, c_busy)) | (~always3(s2)))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(583,plain,
% 8.28/5.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s2)) | (~m_main_v_state(s2, c_busy))),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[582, 581])).
% 8.28/5.72 tff(584,plain,
% 8.28/5.72 (~m_main_v_state(s2, c_busy)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[583, 170, 577])).
% 8.28/5.72 tff(585,plain,
% 8.28/5.72 (((~![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))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(586,plain,
% 8.28/5.72 ((~![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))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(587,plain,
% 8.28/5.72 ((~![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)),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[586, 585])).
% 8.28/5.72 tff(588,plain,
% 8.28/5.72 (m_main_v_state(s1, c_ready)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[587, 213, 557])).
% 8.28/5.72 tff(589,plain,
% 8.28/5.72 (((~![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))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(590,plain,
% 8.28/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s1, s2)) | node2(s1, s2))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(591,plain,
% 8.28/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s1, s2)) | node2(s1, s2)),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[590, 589])).
% 8.28/5.72 tff(592,plain,
% 8.28/5.72 (node2(s1, s2)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[591, 7, 303])).
% 8.28/5.72 tff(593,plain,
% 8.28/5.72 (((~![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(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)))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(594,plain,
% 8.28/5.72 ((~![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(s1, c_ready)) | (~node2(s1, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s1)))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(595,plain,
% 8.28/5.72 ((~![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(s1, c_ready)) | (~node2(s1, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s1))),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[594, 593])).
% 8.28/5.72 tff(596,plain,
% 8.28/5.72 ((~m_main_v_state(s1, c_ready)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s1))),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[595, 191, 592])).
% 8.28/5.72 tff(597,plain,
% 8.28/5.72 (~m_main_v_request(s1)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[596, 588, 584])).
% 8.28/5.72 tff(598,plain,
% 8.28/5.72 (((~![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)))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(599,plain,
% 8.28/5.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s1) | (~node4(s1)))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(600,plain,
% 8.28/5.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s1) | (~node4(s1))),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[599, 598])).
% 8.28/5.72 tff(601,plain,
% 8.28/5.72 ($false),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[600, 154, 597, 576])).
% 8.28/5.72 tff(602,plain,(xuntil6(s1)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.72 tff(603,plain,
% 8.28/5.72 (until5(s2)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[355, 602])).
% 8.28/5.72 tff(604,assumption,(~xuntil6(s3)), introduced(assumption)).
% 8.28/5.72 tff(605,assumption,(until5(s2)), introduced(assumption)).
% 8.28/5.72 tff(606,assumption,(~always3(s3)), introduced(assumption)).
% 8.28/5.72 tff(607,plain,
% 8.28/5.72 (~always3(s2)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[295, 606])).
% 8.28/5.72 tff(608,plain,
% 8.28/5.72 (~node4(s2)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[359, 22, 607])).
% 8.28/5.72 tff(609,plain,
% 8.28/5.72 (xuntil6(s2) | node4(s2)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[366, 36, 605])).
% 8.28/5.72 tff(610,plain,
% 8.28/5.72 (xuntil6(s2)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[609, 608])).
% 8.28/5.72 tff(611,plain,
% 8.28/5.72 (until5(s3)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[372, 610])).
% 8.28/5.72 tff(612,plain,
% 8.28/5.72 (node4(s3) | (~until5(s3))),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[383, 36, 604])).
% 8.28/5.72 tff(613,plain,
% 8.28/5.72 (node4(s3)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[612, 611])).
% 8.28/5.72 tff(614,plain,
% 8.28/5.72 ($false),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[376, 22, 606, 613])).
% 8.28/5.72 tff(615,plain,(always3(s3) | xuntil6(s3) | (~until5(s2))), inference(lemma,lemma(discharge,[]))).
% 8.28/5.72 tff(616,plain,
% 8.28/5.72 (always3(s3)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[615, 605, 604])).
% 8.28/5.72 tff(617,plain,
% 8.28/5.72 (((~![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)))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(618,plain,
% 8.28/5.72 (((~m_main_v_state(s3, c_busy)) | (~always3(s3))) <=> ((~always3(s3)) | (~m_main_v_state(s3, c_busy)))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(619,plain,
% 8.28/5.72 (((~![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))))),
% 8.28/5.72 inference(monotonicity,[status(thm)],[618])).
% 8.28/5.72 tff(620,plain,
% 8.28/5.72 (((~![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)))),
% 8.28/5.72 inference(transitivity,[status(thm)],[619, 617])).
% 8.28/5.72 tff(621,plain,
% 8.28/5.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s3, c_busy)) | (~always3(s3)))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(622,plain,
% 8.28/5.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s3)) | (~m_main_v_state(s3, c_busy))),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[621, 620])).
% 8.28/5.72 tff(623,plain,
% 8.28/5.72 (~m_main_v_state(s3, c_busy)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[622, 170, 616])).
% 8.28/5.72 tff(624,assumption,(~m_main_v_state(s4, c_busy)), introduced(assumption)).
% 8.28/5.72 tff(625,plain,
% 8.28/5.72 (((~![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))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(626,plain,
% 8.28/5.72 ((~![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))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(627,plain,
% 8.28/5.72 ((~![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)),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[626, 625])).
% 8.28/5.72 tff(628,plain,
% 8.28/5.72 (m_main_v_state(s3, c_ready)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[627, 213, 623])).
% 8.28/5.72 tff(629,plain,
% 8.28/5.72 (((~![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))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(630,plain,
% 8.28/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s3, s4)) | node2(s3, s4))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(631,plain,
% 8.28/5.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s3, s4)) | node2(s3, s4)),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[630, 629])).
% 8.28/5.72 tff(632,plain,
% 8.28/5.72 (node2(s3, s4)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[631, 7, 279])).
% 8.28/5.72 tff(633,plain,
% 8.28/5.72 (((~![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(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)))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(634,plain,
% 8.28/5.72 ((~![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(s3, c_ready)) | (~node2(s3, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3)))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(635,plain,
% 8.28/5.72 ((~![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(s3, c_ready)) | (~node2(s3, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3))),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[634, 633])).
% 8.28/5.72 tff(636,plain,
% 8.28/5.72 ((~m_main_v_state(s3, c_ready)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3))),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[635, 191, 632])).
% 8.28/5.72 tff(637,plain,
% 8.28/5.72 (~m_main_v_request(s3)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[636, 628, 624])).
% 8.28/5.72 tff(638,plain,
% 8.28/5.72 (((~![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)))),
% 8.28/5.72 inference(rewrite,[status(thm)],[])).
% 8.28/5.72 tff(639,plain,
% 8.28/5.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s3) | (~node4(s3)))),
% 8.28/5.72 inference(quant_inst,[status(thm)],[])).
% 8.28/5.72 tff(640,plain,
% 8.28/5.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s3) | (~node4(s3))),
% 8.28/5.72 inference(modus_ponens,[status(thm)],[639, 638])).
% 8.28/5.72 tff(641,plain,
% 8.28/5.72 (~node4(s3)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[640, 154, 637])).
% 8.28/5.72 tff(642,plain,
% 8.28/5.72 (~until5(s3)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[612, 641])).
% 8.28/5.72 tff(643,plain,
% 8.28/5.72 (~xuntil6(s2)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[372, 642])).
% 8.28/5.72 tff(644,plain,
% 8.28/5.72 (node4(s2)),
% 8.28/5.72 inference(unit_resolution,[status(thm)],[609, 643])).
% 8.28/5.72 tff(645,plain,
% 8.28/5.72 (((~![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)))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(646,plain,
% 8.28/5.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s2) | (~node4(s2)))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(647,plain,
% 8.28/5.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s2) | (~node4(s2))),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[646, 645])).
% 8.28/5.73 tff(648,plain,
% 8.28/5.73 (m_main_v_request(s2)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[647, 154, 644])).
% 8.28/5.73 tff(649,plain,
% 8.28/5.73 (((~![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))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(650,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s2, s3)) | node2(s2, s3))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(651,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s2, s3)) | node2(s2, s3)),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[650, 649])).
% 8.28/5.73 tff(652,plain,
% 8.28/5.73 (node2(s2, s3)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[651, 7, 291])).
% 8.28/5.73 tff(653,plain,
% 8.28/5.73 (((~![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(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)))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(654,plain,
% 8.28/5.73 ((~![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(s2, c_ready)) | (~node2(s2, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s2)))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(655,plain,
% 8.28/5.73 ((~![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(s2, c_ready)) | (~node2(s2, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s2))),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[654, 653])).
% 8.28/5.73 tff(656,plain,
% 8.28/5.73 ((~m_main_v_state(s2, c_ready)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s2))),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[655, 191, 652])).
% 8.28/5.73 tff(657,plain,
% 8.28/5.73 (~m_main_v_state(s2, c_ready)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[656, 648, 623])).
% 8.28/5.73 tff(658,plain,
% 8.28/5.73 (always3(s2)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[359, 22, 644])).
% 8.28/5.73 tff(659,plain,
% 8.28/5.73 (~m_main_v_state(s2, c_busy)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[583, 170, 658])).
% 8.28/5.73 tff(660,plain,
% 8.28/5.73 (((~![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))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(661,plain,
% 8.28/5.73 ((~![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))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(662,plain,
% 8.28/5.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s2, c_busy) | m_main_v_state(s2, c_ready)),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[661, 660])).
% 8.28/5.73 tff(663,plain,
% 8.28/5.73 ($false),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[662, 213, 659, 657])).
% 8.28/5.73 tff(664,plain,((~until5(s2)) | xuntil6(s3) | m_main_v_state(s4, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.73 tff(665,plain,
% 8.28/5.73 (xuntil6(s3)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[664, 535, 603])).
% 8.28/5.73 tff(666,plain,
% 8.28/5.73 (until5(s4)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[274, 665])).
% 8.28/5.73 tff(667,plain,
% 8.28/5.73 (node4(s4)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[502, 666])).
% 8.28/5.73 tff(668,plain,
% 8.28/5.73 (((~![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)))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(669,plain,
% 8.28/5.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s4) | (~node4(s4)))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(670,plain,
% 8.28/5.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s4) | (~node4(s4))),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[669, 668])).
% 8.28/5.73 tff(671,plain,
% 8.28/5.73 (m_main_v_request(s4)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[670, 154, 667])).
% 8.28/5.73 tff(672,plain,
% 8.28/5.73 (((~![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))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(673,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s4, s5)) | node2(s4, s5))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(674,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s4, s5)) | node2(s4, s5)),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[673, 672])).
% 8.28/5.73 tff(675,plain,
% 8.28/5.73 (node2(s4, s5)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[674, 7, 250])).
% 8.28/5.73 tff(676,plain,
% 8.28/5.73 (((~![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(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)))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(677,plain,
% 8.28/5.73 ((~![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(s4, c_ready)) | (~node2(s4, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s4)))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(678,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s4, c_ready)) | (~node2(s4, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s4))),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[677, 676])).
% 8.28/5.73 tff(679,plain,
% 8.28/5.73 ((~m_main_v_state(s4, c_ready)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s4))),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[678, 191, 675])).
% 8.28/5.73 tff(680,plain,
% 8.28/5.73 ($false),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[679, 671, 539, 528])).
% 8.28/5.73 tff(681,plain,(xuntil6(s4)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.73 tff(682,plain,
% 8.28/5.73 (until5(s5)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[245, 681])).
% 8.28/5.73 tff(683,assumption,(node4(s5)), introduced(assumption)).
% 8.28/5.73 tff(684,plain,
% 8.28/5.73 (((~![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)))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(685,plain,
% 8.28/5.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s5) | (~node4(s5)))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(686,plain,
% 8.28/5.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s5) | (~node4(s5))),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[685, 684])).
% 8.28/5.73 tff(687,plain,
% 8.28/5.73 (m_main_v_request(s5)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[686, 154, 683])).
% 8.28/5.73 tff(688,plain,
% 8.28/5.73 (always3(s5)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[117, 22, 683])).
% 8.28/5.73 tff(689,plain,
% 8.28/5.73 (always3(s6)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[113, 688])).
% 8.28/5.73 tff(690,plain,
% 8.28/5.73 (~m_main_v_state(s6, c_busy)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[202, 170, 689])).
% 8.28/5.73 tff(691,plain,
% 8.28/5.73 (((~![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))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(692,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s5, s6)) | node2(s5, s6))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(693,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s5, s6)) | node2(s5, s6)),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[692, 691])).
% 8.28/5.73 tff(694,plain,
% 8.28/5.73 (node2(s5, s6)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[693, 7, 109])).
% 8.28/5.73 tff(695,plain,
% 8.28/5.73 (((~![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(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)))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(696,plain,
% 8.28/5.73 ((~![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(s5, c_ready)) | (~node2(s5, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5)))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(697,plain,
% 8.28/5.73 ((~![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(s5, c_ready)) | (~node2(s5, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5))),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[696, 695])).
% 8.28/5.73 tff(698,plain,
% 8.28/5.73 ((~m_main_v_state(s5, c_ready)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5))),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[697, 191, 694])).
% 8.28/5.73 tff(699,plain,
% 8.28/5.73 (~m_main_v_state(s5, c_ready)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[698, 690, 687])).
% 8.28/5.73 tff(700,plain,
% 8.28/5.73 (~m_main_v_state(s5, c_busy)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[527, 170, 688])).
% 8.28/5.73 tff(701,plain,
% 8.28/5.73 (((~![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))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(702,plain,
% 8.28/5.73 ((~![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))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(703,plain,
% 8.28/5.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s5, c_busy) | m_main_v_state(s5, c_ready)),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[702, 701])).
% 8.28/5.73 tff(704,plain,
% 8.28/5.73 ($false),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[703, 213, 700, 699])).
% 8.28/5.73 tff(705,plain,(~node4(s5)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.73 tff(706,plain,
% 8.28/5.73 (xuntil6(s5) | (~until5(s5))),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[237, 36, 705])).
% 8.28/5.73 tff(707,plain,
% 8.28/5.73 (xuntil6(s5)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[706, 682])).
% 8.28/5.73 tff(708,plain,
% 8.28/5.73 (until5(s6)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[230, 707])).
% 8.28/5.73 tff(709,plain,
% 8.28/5.73 (xuntil6(s6)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[225, 708])).
% 8.28/5.73 tff(710,plain,
% 8.28/5.73 (until5(s7)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[145, 709])).
% 8.28/5.73 tff(711,plain,
% 8.28/5.73 (xuntil6(s7) | node4(s7)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[129, 36, 710])).
% 8.28/5.73 tff(712,plain,
% 8.28/5.73 (xuntil6(s7)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[711, 496])).
% 8.28/5.73 tff(713,plain,
% 8.28/5.73 (until5(s8)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[391, 712])).
% 8.28/5.73 tff(714,plain,
% 8.28/5.73 (node4(s8) | (~until5(s8))),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[398, 36, 452])).
% 8.28/5.73 tff(715,plain,
% 8.28/5.73 (node4(s8)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[714, 713])).
% 8.28/5.73 tff(716,plain,
% 8.28/5.73 (((~![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)))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(717,plain,
% 8.28/5.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s8) | (~node4(s8)))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(718,plain,
% 8.28/5.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s8) | (~node4(s8))),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[717, 716])).
% 8.28/5.73 tff(719,plain,
% 8.28/5.73 (m_main_v_request(s8)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[718, 154, 715])).
% 8.28/5.73 tff(720,plain,
% 8.28/5.73 (((~![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))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(721,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s8, s9)) | node2(s8, s9))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(722,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s8, s9)) | node2(s8, s9)),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[721, 720])).
% 8.28/5.73 tff(723,plain,
% 8.28/5.73 (node2(s8, s9)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[722, 7, 58])).
% 8.28/5.73 tff(724,plain,
% 8.28/5.73 (((~![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(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)))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(725,plain,
% 8.28/5.73 ((~![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(s8, c_ready)) | (~node2(s8, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s8)))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(726,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s8, c_ready)) | (~node2(s8, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s8))),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[725, 724])).
% 8.28/5.73 tff(727,plain,
% 8.28/5.73 ((~m_main_v_state(s8, c_ready)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s8))),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[726, 191, 723])).
% 8.28/5.73 tff(728,plain,
% 8.28/5.73 ($false),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[727, 719, 473, 414])).
% 8.28/5.73 tff(729,plain,(xuntil6(s9)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.73 tff(730,plain,
% 8.28/5.73 (((~![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))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(731,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s9, s10)) | (~xuntil6(s9)) | until5(s10))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(732,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s9, s10)) | (~xuntil6(s9)) | until5(s10)),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[731, 730])).
% 8.28/5.73 tff(733,plain,
% 8.28/5.73 ((~xuntil6(s9)) | until5(s10)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[732, 417, 141])).
% 8.28/5.73 tff(734,plain,
% 8.28/5.73 (until5(s10)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[733, 729])).
% 8.28/5.73 tff(735,assumption,(~xuntil6(s12)), introduced(assumption)).
% 8.28/5.73 tff(736,assumption,(until5(s10)), introduced(assumption)).
% 8.28/5.73 tff(737,assumption,(until5(s12)), introduced(assumption)).
% 8.28/5.73 tff(738,plain,
% 8.28/5.73 (((~![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)))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(739,plain,
% 8.28/5.73 ((node4(s12) | (~until5(s12)) | xuntil6(s12)) <=> (xuntil6(s12) | node4(s12) | (~until5(s12)))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(740,plain,
% 8.28/5.73 (((~![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))))),
% 8.28/5.73 inference(monotonicity,[status(thm)],[739])).
% 8.28/5.73 tff(741,plain,
% 8.28/5.73 (((~![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)))),
% 8.28/5.73 inference(transitivity,[status(thm)],[740, 738])).
% 8.28/5.73 tff(742,plain,
% 8.28/5.73 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s12) | (~until5(s12)) | xuntil6(s12))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(743,plain,
% 8.28/5.73 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s12) | node4(s12) | (~until5(s12))),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[742, 741])).
% 8.28/5.73 tff(744,plain,
% 8.28/5.73 (xuntil6(s12) | node4(s12)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[743, 36, 737])).
% 8.28/5.73 tff(745,plain,
% 8.28/5.73 (node4(s12)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[744, 735])).
% 8.28/5.73 tff(746,plain,
% 8.28/5.73 (((~![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)))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(747,plain,
% 8.28/5.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s12) | (~node4(s12)))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(748,plain,
% 8.28/5.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s12) | (~node4(s12))),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[747, 746])).
% 8.28/5.73 tff(749,plain,
% 8.28/5.73 (m_main_v_request(s12)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[748, 154, 745])).
% 8.28/5.73 tff(750,assumption,(~always3(s12)), introduced(assumption)).
% 8.28/5.73 tff(751,plain,
% 8.28/5.73 (succ(s11, s12) <=> succ(s11, s12)),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(752,axiom,(succ(s11, s12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound12')).
% 8.28/5.73 tff(753,plain,
% 8.28/5.73 (succ(s11, s12)),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[752, 751])).
% 8.28/5.73 tff(754,plain,
% 8.28/5.73 (((~![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))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(755,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s11, s12)) | trans(s11, s12))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(756,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s11, s12)) | trans(s11, s12)),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[755, 754])).
% 8.28/5.73 tff(757,plain,
% 8.28/5.73 (trans(s11, s12)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[756, 753, 51])).
% 8.28/5.73 tff(758,plain,
% 8.28/5.73 (((~![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))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(759,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s11, s12)) | (~always3(s11)) | always3(s12))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(760,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s11, s12)) | (~always3(s11)) | always3(s12)),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[759, 758])).
% 8.28/5.73 tff(761,plain,
% 8.28/5.73 ((~always3(s11)) | always3(s12)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[760, 68, 757])).
% 8.28/5.73 tff(762,plain,
% 8.28/5.73 (~always3(s11)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[761, 750])).
% 8.28/5.73 tff(763,plain,
% 8.28/5.73 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s11) | (~node4(s11)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s11) | (~node4(s11)))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(764,plain,
% 8.28/5.73 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s11) | (~node4(s11)))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(765,plain,
% 8.28/5.73 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s11) | (~node4(s11))),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[764, 763])).
% 8.28/5.73 tff(766,plain,
% 8.28/5.73 (~node4(s11)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[765, 22, 762])).
% 8.28/5.73 tff(767,plain,
% 8.28/5.73 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s12) | (~node4(s12)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s12) | (~node4(s12)))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(768,plain,
% 8.28/5.73 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s12) | (~node4(s12)))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(769,plain,
% 8.28/5.73 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s12) | (~node4(s12))),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[768, 767])).
% 8.28/5.73 tff(770,plain,
% 8.28/5.73 (~node4(s12)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[769, 22, 750])).
% 8.28/5.73 tff(771,plain,
% 8.28/5.73 (node4(s12) | (~until5(s12))),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[743, 36, 735])).
% 8.28/5.73 tff(772,plain,
% 8.28/5.73 (~until5(s12)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[771, 770])).
% 8.28/5.73 tff(773,plain,
% 8.28/5.73 (((~![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))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(774,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s11, s12)) | (~xuntil6(s11)) | until5(s12))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(775,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s11, s12)) | (~xuntil6(s11)) | until5(s12)),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[774, 773])).
% 8.28/5.73 tff(776,plain,
% 8.28/5.73 ((~xuntil6(s11)) | until5(s12)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[775, 753, 141])).
% 8.28/5.73 tff(777,plain,
% 8.28/5.73 (~xuntil6(s11)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[776, 772])).
% 8.28/5.73 tff(778,plain,
% 8.28/5.73 (succ(s10, s11) <=> succ(s10, s11)),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(779,axiom,(succ(s10, s11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound11')).
% 8.28/5.73 tff(780,plain,
% 8.28/5.73 (succ(s10, s11)),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[779, 778])).
% 8.28/5.73 tff(781,plain,
% 8.28/5.73 (((~![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))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(782,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s10, s11)) | trans(s10, s11))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(783,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s10, s11)) | trans(s10, s11)),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[782, 781])).
% 8.28/5.73 tff(784,plain,
% 8.28/5.73 (trans(s10, s11)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[783, 780, 51])).
% 8.28/5.73 tff(785,plain,
% 8.28/5.73 (((~![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))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(786,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s10, s11)) | (~always3(s10)) | always3(s11))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(787,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s10, s11)) | (~always3(s10)) | always3(s11)),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[786, 785])).
% 8.28/5.73 tff(788,plain,
% 8.28/5.73 ((~always3(s10)) | always3(s11)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[787, 68, 784])).
% 8.28/5.73 tff(789,plain,
% 8.28/5.73 (~always3(s10)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[788, 762])).
% 8.28/5.73 tff(790,plain,
% 8.28/5.73 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s10) | (~node4(s10)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s10) | (~node4(s10)))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(791,plain,
% 8.28/5.73 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s10) | (~node4(s10)))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(792,plain,
% 8.28/5.73 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s10) | (~node4(s10))),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[791, 790])).
% 8.28/5.73 tff(793,plain,
% 8.28/5.73 (~node4(s10)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[792, 22, 789])).
% 8.28/5.73 tff(794,plain,
% 8.28/5.73 (((~![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)))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(795,plain,
% 8.28/5.73 ((node4(s10) | (~until5(s10)) | xuntil6(s10)) <=> (xuntil6(s10) | node4(s10) | (~until5(s10)))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(796,plain,
% 8.28/5.73 (((~![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))))),
% 8.28/5.73 inference(monotonicity,[status(thm)],[795])).
% 8.28/5.73 tff(797,plain,
% 8.28/5.73 (((~![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)))),
% 8.28/5.73 inference(transitivity,[status(thm)],[796, 794])).
% 8.28/5.73 tff(798,plain,
% 8.28/5.73 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s10) | (~until5(s10)) | xuntil6(s10))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(799,plain,
% 8.28/5.73 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s10) | node4(s10) | (~until5(s10))),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[798, 797])).
% 8.28/5.73 tff(800,plain,
% 8.28/5.73 (xuntil6(s10) | node4(s10)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[799, 36, 736])).
% 8.28/5.73 tff(801,plain,
% 8.28/5.73 (xuntil6(s10)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[800, 793])).
% 8.28/5.73 tff(802,plain,
% 8.28/5.73 (((~![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))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(803,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s10, s11)) | (~xuntil6(s10)) | until5(s11))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(804,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s10, s11)) | (~xuntil6(s10)) | until5(s11)),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[803, 802])).
% 8.28/5.73 tff(805,plain,
% 8.28/5.73 ((~xuntil6(s10)) | until5(s11)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[804, 780, 141])).
% 8.28/5.73 tff(806,plain,
% 8.28/5.73 (until5(s11)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[805, 801])).
% 8.28/5.73 tff(807,plain,
% 8.28/5.73 (((~![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)))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(808,plain,
% 8.28/5.73 ((node4(s11) | (~until5(s11)) | xuntil6(s11)) <=> (xuntil6(s11) | node4(s11) | (~until5(s11)))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(809,plain,
% 8.28/5.73 (((~![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))))),
% 8.28/5.73 inference(monotonicity,[status(thm)],[808])).
% 8.28/5.73 tff(810,plain,
% 8.28/5.73 (((~![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)))),
% 8.28/5.73 inference(transitivity,[status(thm)],[809, 807])).
% 8.28/5.73 tff(811,plain,
% 8.28/5.73 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s11) | (~until5(s11)) | xuntil6(s11))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(812,plain,
% 8.28/5.73 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s11) | node4(s11) | (~until5(s11))),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[811, 810])).
% 8.28/5.73 tff(813,plain,
% 8.28/5.73 ($false),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[812, 36, 806, 777, 766])).
% 8.28/5.73 tff(814,plain,(always3(s12) | (~until5(s10)) | xuntil6(s12)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.73 tff(815,plain,
% 8.28/5.73 (always3(s12)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[814, 735, 736])).
% 8.28/5.73 tff(816,plain,
% 8.28/5.73 (succ(s12, s13) <=> succ(s12, s13)),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(817,axiom,(succ(s12, s13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound13')).
% 8.28/5.73 tff(818,plain,
% 8.28/5.73 (succ(s12, s13)),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[817, 816])).
% 8.28/5.73 tff(819,plain,
% 8.28/5.73 (((~![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))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(820,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s12, s13)) | trans(s12, s13))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(821,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s12, s13)) | trans(s12, s13)),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[820, 819])).
% 8.28/5.73 tff(822,plain,
% 8.28/5.73 (trans(s12, s13)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[821, 818, 51])).
% 8.28/5.73 tff(823,plain,
% 8.28/5.73 (((~![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))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(824,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s12, s13)) | (~always3(s12)) | always3(s13))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(825,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s12, s13)) | (~always3(s12)) | always3(s13)),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[824, 823])).
% 8.28/5.73 tff(826,plain,
% 8.28/5.73 ((~always3(s12)) | always3(s13)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[825, 68, 822])).
% 8.28/5.73 tff(827,plain,
% 8.28/5.73 (always3(s13)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[826, 815])).
% 8.28/5.73 tff(828,plain,
% 8.28/5.73 (((~![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)))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(829,plain,
% 8.28/5.73 (((~m_main_v_state(s13, c_busy)) | (~always3(s13))) <=> ((~always3(s13)) | (~m_main_v_state(s13, c_busy)))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(830,plain,
% 8.28/5.73 (((~![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))))),
% 8.28/5.73 inference(monotonicity,[status(thm)],[829])).
% 8.28/5.73 tff(831,plain,
% 8.28/5.73 (((~![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)))),
% 8.28/5.73 inference(transitivity,[status(thm)],[830, 828])).
% 8.28/5.73 tff(832,plain,
% 8.28/5.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s13, c_busy)) | (~always3(s13)))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(833,plain,
% 8.28/5.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s13)) | (~m_main_v_state(s13, c_busy))),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[832, 831])).
% 8.28/5.73 tff(834,plain,
% 8.28/5.73 (~m_main_v_state(s13, c_busy)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[833, 170, 827])).
% 8.28/5.73 tff(835,plain,
% 8.28/5.73 (((~![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))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(836,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s12, s13)) | node2(s12, s13))),
% 8.28/5.73 inference(quant_inst,[status(thm)],[])).
% 8.28/5.73 tff(837,plain,
% 8.28/5.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s12, s13)) | node2(s12, s13)),
% 8.28/5.73 inference(modus_ponens,[status(thm)],[836, 835])).
% 8.28/5.73 tff(838,plain,
% 8.28/5.73 (node2(s12, s13)),
% 8.28/5.73 inference(unit_resolution,[status(thm)],[837, 7, 822])).
% 8.28/5.73 tff(839,plain,
% 8.28/5.73 (((~![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(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)))),
% 8.28/5.73 inference(rewrite,[status(thm)],[])).
% 8.28/5.73 tff(840,plain,
% 8.28/5.73 ((~![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(s12, c_ready)) | (~node2(s12, s13)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s12)))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(841,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[840, 839])).
% 8.28/5.74 tff(842,plain,
% 8.28/5.74 ((~m_main_v_state(s12, c_ready)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s12))),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[841, 191, 838])).
% 8.28/5.74 tff(843,plain,
% 8.28/5.74 (~m_main_v_state(s12, c_ready)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[842, 834, 749])).
% 8.28/5.74 tff(844,plain,
% 8.28/5.74 (((~![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)))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(845,plain,
% 8.28/5.74 (((~m_main_v_state(s12, c_busy)) | (~always3(s12))) <=> ((~always3(s12)) | (~m_main_v_state(s12, c_busy)))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(846,plain,
% 8.28/5.74 (((~![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))))),
% 8.28/5.74 inference(monotonicity,[status(thm)],[845])).
% 8.28/5.74 tff(847,plain,
% 8.28/5.74 (((~![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)))),
% 8.28/5.74 inference(transitivity,[status(thm)],[846, 844])).
% 8.28/5.74 tff(848,plain,
% 8.28/5.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s12, c_busy)) | (~always3(s12)))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(849,plain,
% 8.28/5.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s12)) | (~m_main_v_state(s12, c_busy))),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[848, 847])).
% 8.28/5.74 tff(850,plain,
% 8.28/5.74 (~m_main_v_state(s12, c_busy)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[849, 170, 815])).
% 8.28/5.74 tff(851,plain,
% 8.28/5.74 (((~![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))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(852,plain,
% 8.28/5.74 ((~![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))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(853,plain,
% 8.28/5.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s12, c_busy) | m_main_v_state(s12, c_ready)),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[852, 851])).
% 8.28/5.74 tff(854,plain,
% 8.28/5.74 ($false),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[853, 213, 850, 843])).
% 8.28/5.74 tff(855,plain,(xuntil6(s12) | (~until5(s12)) | (~until5(s10))), inference(lemma,lemma(discharge,[]))).
% 8.28/5.74 tff(856,plain,
% 8.28/5.74 (~until5(s12)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[855, 736, 735])).
% 8.28/5.74 tff(857,plain,
% 8.28/5.74 (~xuntil6(s11)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[776, 856])).
% 8.28/5.74 tff(858,assumption,(node4(s10)), introduced(assumption)).
% 8.28/5.74 tff(859,plain,
% 8.28/5.74 (((~![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)))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(860,plain,
% 8.28/5.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s10) | (~node4(s10)))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(861,plain,
% 8.28/5.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s10) | (~node4(s10))),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[860, 859])).
% 8.28/5.74 tff(862,plain,
% 8.28/5.74 (m_main_v_request(s10)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[861, 154, 858])).
% 8.28/5.74 tff(863,plain,
% 8.28/5.74 (always3(s10)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[792, 22, 858])).
% 8.28/5.74 tff(864,plain,
% 8.28/5.74 (always3(s11)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[788, 863])).
% 8.28/5.74 tff(865,plain,
% 8.28/5.74 (((~![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)))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(866,plain,
% 8.28/5.74 (((~m_main_v_state(s11, c_busy)) | (~always3(s11))) <=> ((~always3(s11)) | (~m_main_v_state(s11, c_busy)))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(867,plain,
% 8.28/5.74 (((~![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))))),
% 8.28/5.74 inference(monotonicity,[status(thm)],[866])).
% 8.28/5.74 tff(868,plain,
% 8.28/5.74 (((~![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)))),
% 8.28/5.74 inference(transitivity,[status(thm)],[867, 865])).
% 8.28/5.74 tff(869,plain,
% 8.28/5.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s11, c_busy)) | (~always3(s11)))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(870,plain,
% 8.28/5.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s11)) | (~m_main_v_state(s11, c_busy))),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[869, 868])).
% 8.28/5.74 tff(871,plain,
% 8.28/5.74 (~m_main_v_state(s11, c_busy)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[870, 170, 864])).
% 8.28/5.74 tff(872,plain,
% 8.28/5.74 (((~![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))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(873,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s10, s11)) | node2(s10, s11))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(874,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s10, s11)) | node2(s10, s11)),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[873, 872])).
% 8.28/5.74 tff(875,plain,
% 8.28/5.74 (node2(s10, s11)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[874, 7, 784])).
% 8.28/5.74 tff(876,plain,
% 8.28/5.74 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(877,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(878,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[877, 876])).
% 8.28/5.74 tff(879,plain,
% 8.28/5.74 ((~m_main_v_state(s10, c_ready)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s10))),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[878, 191, 875])).
% 8.28/5.74 tff(880,plain,
% 8.28/5.74 (~m_main_v_state(s10, c_ready)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[879, 871, 862])).
% 8.28/5.74 tff(881,plain,
% 8.28/5.74 (~m_main_v_state(s10, c_busy)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[432, 170, 863])).
% 8.28/5.74 tff(882,plain,
% 8.28/5.74 (((~![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))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(883,plain,
% 8.28/5.74 ((~![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))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(884,plain,
% 8.28/5.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s10, c_busy) | m_main_v_state(s10, c_ready)),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[883, 882])).
% 8.28/5.74 tff(885,plain,
% 8.28/5.74 ($false),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[884, 213, 881, 880])).
% 8.28/5.74 tff(886,plain,(~node4(s10)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.74 tff(887,plain,
% 8.28/5.74 (xuntil6(s10) | (~until5(s10))),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[799, 36, 886])).
% 8.28/5.74 tff(888,plain,
% 8.28/5.74 (xuntil6(s10)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[887, 736])).
% 8.28/5.74 tff(889,plain,
% 8.28/5.74 (until5(s11)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[805, 888])).
% 8.28/5.74 tff(890,plain,
% 8.28/5.74 (node4(s11)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[812, 36, 889, 857])).
% 8.28/5.74 tff(891,plain,
% 8.28/5.74 (always3(s12)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[814, 736, 735])).
% 8.28/5.74 tff(892,plain,
% 8.28/5.74 (~m_main_v_state(s12, c_busy)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[849, 170, 891])).
% 8.28/5.74 tff(893,assumption,(~m_main_v_state(s12, c_busy)), introduced(assumption)).
% 8.28/5.74 tff(894,assumption,(node4(s11)), introduced(assumption)).
% 8.28/5.74 tff(895,plain,
% 8.28/5.74 (((~![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)))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(896,plain,
% 8.28/5.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s11) | (~node4(s11)))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(897,plain,
% 8.28/5.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s11) | (~node4(s11))),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[896, 895])).
% 8.28/5.74 tff(898,plain,
% 8.28/5.74 (m_main_v_request(s11)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[897, 154, 894])).
% 8.28/5.74 tff(899,plain,
% 8.28/5.74 (((~![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))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(900,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s11, s12)) | node2(s11, s12))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(901,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s11, s12)) | node2(s11, s12)),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[900, 899])).
% 8.28/5.74 tff(902,plain,
% 8.28/5.74 (node2(s11, s12)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[901, 7, 757])).
% 8.28/5.74 tff(903,plain,
% 8.28/5.74 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(904,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(905,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[904, 903])).
% 8.28/5.74 tff(906,plain,
% 8.28/5.74 ((~m_main_v_state(s11, c_ready)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s11))),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[905, 191, 902])).
% 8.28/5.74 tff(907,plain,
% 8.28/5.74 (~m_main_v_state(s11, c_ready)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[906, 898, 893])).
% 8.28/5.74 tff(908,plain,
% 8.28/5.74 (always3(s11)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[765, 22, 894])).
% 8.28/5.74 tff(909,plain,
% 8.28/5.74 (~m_main_v_state(s11, c_busy)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[870, 170, 908])).
% 8.28/5.74 tff(910,plain,
% 8.28/5.74 (((~![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))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(911,plain,
% 8.28/5.74 ((~![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))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(912,plain,
% 8.28/5.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s11, c_busy) | m_main_v_state(s11, c_ready)),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[911, 910])).
% 8.28/5.74 tff(913,plain,
% 8.28/5.74 ($false),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[912, 213, 909, 907])).
% 8.28/5.74 tff(914,plain,((~node4(s11)) | m_main_v_state(s12, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.74 tff(915,plain,
% 8.28/5.74 ($false),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[914, 892, 890])).
% 8.28/5.74 tff(916,plain,((~until5(s10)) | xuntil6(s12)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.74 tff(917,plain,
% 8.28/5.74 (xuntil6(s12)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[916, 734])).
% 8.28/5.74 tff(918,plain,
% 8.28/5.74 (((~![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))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(919,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s12, s13)) | (~xuntil6(s12)) | until5(s13))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(920,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s12, s13)) | (~xuntil6(s12)) | until5(s13)),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[919, 918])).
% 8.28/5.74 tff(921,plain,
% 8.28/5.74 ((~xuntil6(s12)) | until5(s13)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[920, 818, 141])).
% 8.28/5.74 tff(922,plain,
% 8.28/5.74 (until5(s13)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[921, 917])).
% 8.28/5.74 tff(923,assumption,(~xuntil6(s13)), introduced(assumption)).
% 8.28/5.74 tff(924,assumption,(~always3(s13)), introduced(assumption)).
% 8.28/5.74 tff(925,plain,
% 8.28/5.74 (~always3(s12)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[826, 924])).
% 8.28/5.74 tff(926,plain,
% 8.28/5.74 (~always3(s11)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[761, 925])).
% 8.28/5.74 tff(927,plain,
% 8.28/5.74 (~always3(s10)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[788, 926])).
% 8.28/5.74 tff(928,plain,
% 8.28/5.74 (~always3(s9)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[425, 927])).
% 8.28/5.74 tff(929,plain,
% 8.28/5.74 (~node4(s9)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[25, 22, 928])).
% 8.28/5.74 tff(930,plain,
% 8.28/5.74 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s13) | (~node4(s13)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s13) | (~node4(s13)))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(931,plain,
% 8.28/5.74 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s13) | (~node4(s13)))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(932,plain,
% 8.28/5.74 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s13) | (~node4(s13))),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[931, 930])).
% 8.28/5.74 tff(933,plain,
% 8.28/5.74 (~node4(s13)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[932, 22, 924])).
% 8.28/5.74 tff(934,plain,
% 8.28/5.74 (((~![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)))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(935,plain,
% 8.28/5.74 ((node4(s13) | (~until5(s13)) | xuntil6(s13)) <=> (xuntil6(s13) | node4(s13) | (~until5(s13)))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(936,plain,
% 8.28/5.74 (((~![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))))),
% 8.28/5.74 inference(monotonicity,[status(thm)],[935])).
% 8.28/5.74 tff(937,plain,
% 8.28/5.74 (((~![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)))),
% 8.28/5.74 inference(transitivity,[status(thm)],[936, 934])).
% 8.28/5.74 tff(938,plain,
% 8.28/5.74 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s13) | (~until5(s13)) | xuntil6(s13))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(939,plain,
% 8.28/5.74 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s13) | node4(s13) | (~until5(s13))),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[938, 937])).
% 8.28/5.74 tff(940,plain,
% 8.28/5.74 (node4(s13) | (~until5(s13))),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[939, 36, 923])).
% 8.28/5.74 tff(941,plain,
% 8.28/5.74 (~until5(s13)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[940, 933])).
% 8.28/5.74 tff(942,plain,
% 8.28/5.74 (~xuntil6(s12)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[921, 941])).
% 8.28/5.74 tff(943,plain,
% 8.28/5.74 (~until5(s10)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[814, 942, 925])).
% 8.28/5.74 tff(944,plain,
% 8.28/5.74 (~xuntil6(s9)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[733, 943])).
% 8.28/5.74 tff(945,plain,
% 8.28/5.74 (~always3(s8)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[72, 928])).
% 8.28/5.74 tff(946,plain,
% 8.28/5.74 (~node4(s8)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[76, 22, 945])).
% 8.28/5.74 tff(947,plain,
% 8.28/5.74 (~always3(s7)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[88, 945])).
% 8.28/5.74 tff(948,plain,
% 8.28/5.74 (xuntil6(s7)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[386, 947])).
% 8.28/5.74 tff(949,plain,
% 8.28/5.74 (until5(s8)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[391, 948])).
% 8.28/5.74 tff(950,plain,
% 8.28/5.74 (xuntil6(s8) | node4(s8)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[398, 36, 949])).
% 8.28/5.74 tff(951,plain,
% 8.28/5.74 (xuntil6(s8)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[950, 946])).
% 8.28/5.74 tff(952,plain,
% 8.28/5.74 (until5(s9)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[404, 951])).
% 8.28/5.74 tff(953,plain,
% 8.28/5.74 ($false),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[42, 36, 952, 944, 929])).
% 8.28/5.74 tff(954,plain,(always3(s13) | xuntil6(s13)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.74 tff(955,plain,
% 8.28/5.74 (always3(s13)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[954, 923])).
% 8.28/5.74 tff(956,plain,
% 8.28/5.74 (succ(s13, s14) <=> succ(s13, s14)),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(957,axiom,(succ(s13, s14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound14')).
% 8.28/5.74 tff(958,plain,
% 8.28/5.74 (succ(s13, s14)),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[957, 956])).
% 8.28/5.74 tff(959,plain,
% 8.28/5.74 (((~![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))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(960,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s13, s14)) | trans(s13, s14))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(961,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s13, s14)) | trans(s13, s14)),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[960, 959])).
% 8.28/5.74 tff(962,plain,
% 8.28/5.74 (trans(s13, s14)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[961, 958, 51])).
% 8.28/5.74 tff(963,plain,
% 8.28/5.74 (((~![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))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(964,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s13, s14)) | (~always3(s13)) | always3(s14))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(965,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s13, s14)) | (~always3(s13)) | always3(s14)),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[964, 963])).
% 8.28/5.74 tff(966,plain,
% 8.28/5.74 ((~always3(s13)) | always3(s14)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[965, 68, 962])).
% 8.28/5.74 tff(967,plain,
% 8.28/5.74 (always3(s14)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[966, 955])).
% 8.28/5.74 tff(968,plain,
% 8.28/5.74 (((~![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)))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(969,plain,
% 8.28/5.74 (((~m_main_v_state(s14, c_busy)) | (~always3(s14))) <=> ((~always3(s14)) | (~m_main_v_state(s14, c_busy)))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(970,plain,
% 8.28/5.74 (((~![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))))),
% 8.28/5.74 inference(monotonicity,[status(thm)],[969])).
% 8.28/5.74 tff(971,plain,
% 8.28/5.74 (((~![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)))),
% 8.28/5.74 inference(transitivity,[status(thm)],[970, 968])).
% 8.28/5.74 tff(972,plain,
% 8.28/5.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s14, c_busy)) | (~always3(s14)))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(973,plain,
% 8.28/5.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s14)) | (~m_main_v_state(s14, c_busy))),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[972, 971])).
% 8.28/5.74 tff(974,plain,
% 8.28/5.74 (~m_main_v_state(s14, c_busy)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[973, 170, 967])).
% 8.28/5.74 tff(975,assumption,(until5(s13)), introduced(assumption)).
% 8.28/5.74 tff(976,plain,
% 8.28/5.74 (xuntil6(s13) | node4(s13)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[939, 36, 975])).
% 8.28/5.74 tff(977,plain,
% 8.28/5.74 (node4(s13)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[976, 923])).
% 8.28/5.74 tff(978,plain,
% 8.28/5.74 (((~![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)))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(979,plain,
% 8.28/5.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s13) | (~node4(s13)))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(980,plain,
% 8.28/5.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s13) | (~node4(s13))),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[979, 978])).
% 8.28/5.74 tff(981,plain,
% 8.28/5.74 (m_main_v_request(s13)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[980, 154, 977])).
% 8.28/5.74 tff(982,plain,
% 8.28/5.74 (((~![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))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(983,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s13, s14)) | node2(s13, s14))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(984,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s13, s14)) | node2(s13, s14)),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[983, 982])).
% 8.28/5.74 tff(985,plain,
% 8.28/5.74 (node2(s13, s14)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[984, 7, 962])).
% 8.28/5.74 tff(986,plain,
% 8.28/5.74 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(987,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(988,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[987, 986])).
% 8.28/5.74 tff(989,plain,
% 8.28/5.74 ((~m_main_v_state(s13, c_ready)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s13))),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[988, 191, 985])).
% 8.28/5.74 tff(990,plain,
% 8.28/5.74 (~m_main_v_state(s13, c_ready)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[989, 981, 974])).
% 8.28/5.74 tff(991,plain,
% 8.28/5.74 (~m_main_v_state(s13, c_busy)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[833, 170, 955])).
% 8.28/5.74 tff(992,plain,
% 8.28/5.74 (((~![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))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(993,plain,
% 8.28/5.74 ((~![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))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(994,plain,
% 8.28/5.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s13, c_busy) | m_main_v_state(s13, c_ready)),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[993, 992])).
% 8.28/5.74 tff(995,plain,
% 8.28/5.74 ($false),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[994, 213, 991, 990])).
% 8.28/5.74 tff(996,plain,(xuntil6(s13) | (~until5(s13))), inference(lemma,lemma(discharge,[]))).
% 8.28/5.74 tff(997,plain,
% 8.28/5.74 (xuntil6(s13)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[996, 922])).
% 8.28/5.74 tff(998,plain,
% 8.28/5.74 (((~![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))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(999,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s13, s14)) | (~xuntil6(s13)) | until5(s14))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(1000,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s13, s14)) | (~xuntil6(s13)) | until5(s14)),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[999, 998])).
% 8.28/5.74 tff(1001,plain,
% 8.28/5.74 ((~xuntil6(s13)) | until5(s14)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[1000, 958, 141])).
% 8.28/5.74 tff(1002,plain,
% 8.28/5.74 (until5(s14)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[1001, 997])).
% 8.28/5.74 tff(1003,assumption,(~xuntil6(s15)), introduced(assumption)).
% 8.28/5.74 tff(1004,assumption,(~always3(s15)), introduced(assumption)).
% 8.28/5.74 tff(1005,plain,
% 8.28/5.74 (succ(s14, s15) <=> succ(s14, s15)),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(1006,axiom,(succ(s14, s15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound15')).
% 8.28/5.74 tff(1007,plain,
% 8.28/5.74 (succ(s14, s15)),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[1006, 1005])).
% 8.28/5.74 tff(1008,plain,
% 8.28/5.74 (((~![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))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(1009,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s14, s15)) | trans(s14, s15))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(1010,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s14, s15)) | trans(s14, s15)),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[1009, 1008])).
% 8.28/5.74 tff(1011,plain,
% 8.28/5.74 (trans(s14, s15)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[1010, 1007, 51])).
% 8.28/5.74 tff(1012,plain,
% 8.28/5.74 (((~![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))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(1013,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s14, s15)) | (~always3(s14)) | always3(s15))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(1014,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s14, s15)) | (~always3(s14)) | always3(s15)),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[1013, 1012])).
% 8.28/5.74 tff(1015,plain,
% 8.28/5.74 ((~always3(s14)) | always3(s15)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[1014, 68, 1011])).
% 8.28/5.74 tff(1016,plain,
% 8.28/5.74 (~always3(s14)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[1015, 1004])).
% 8.28/5.74 tff(1017,plain,
% 8.28/5.74 (~always3(s13)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[966, 1016])).
% 8.28/5.74 tff(1018,plain,
% 8.28/5.74 (~always3(s12)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[826, 1017])).
% 8.28/5.74 tff(1019,plain,
% 8.28/5.74 (~always3(s11)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[761, 1018])).
% 8.28/5.74 tff(1020,plain,
% 8.28/5.74 (~always3(s10)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[788, 1019])).
% 8.28/5.74 tff(1021,plain,
% 8.28/5.74 (~always3(s9)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[425, 1020])).
% 8.28/5.74 tff(1022,plain,
% 8.28/5.74 (~always3(s8)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[72, 1021])).
% 8.28/5.74 tff(1023,plain,
% 8.28/5.74 (~always3(s7)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[88, 1022])).
% 8.28/5.74 tff(1024,plain,
% 8.28/5.74 (~always3(s6)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[101, 1023])).
% 8.28/5.74 tff(1025,plain,
% 8.28/5.74 (~always3(s5)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[113, 1024])).
% 8.28/5.74 tff(1026,plain,
% 8.28/5.74 (~always3(s4)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[254, 1025])).
% 8.28/5.74 tff(1027,plain,
% 8.28/5.74 (~always3(s3)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[283, 1026])).
% 8.28/5.74 tff(1028,plain,
% 8.28/5.74 (~node4(s3)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[376, 22, 1027])).
% 8.28/5.74 tff(1029,plain,
% 8.28/5.74 (~node4(s4)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[258, 22, 1026])).
% 8.28/5.74 tff(1030,plain,
% 8.28/5.74 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s14) | (~node4(s14)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s14) | (~node4(s14)))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(1031,plain,
% 8.28/5.74 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s14) | (~node4(s14)))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(1032,plain,
% 8.28/5.74 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s14) | (~node4(s14))),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[1031, 1030])).
% 8.28/5.74 tff(1033,plain,
% 8.28/5.74 (~node4(s14)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[1032, 22, 1016])).
% 8.28/5.74 tff(1034,plain,
% 8.28/5.74 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s15) | (~node4(s15)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s15) | (~node4(s15)))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(1035,plain,
% 8.28/5.74 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s15) | (~node4(s15)))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(1036,plain,
% 8.28/5.74 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s15) | (~node4(s15))),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[1035, 1034])).
% 8.28/5.74 tff(1037,plain,
% 8.28/5.74 (~node4(s15)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[1036, 22, 1004])).
% 8.28/5.74 tff(1038,plain,
% 8.28/5.74 (((~![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)))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(1039,plain,
% 8.28/5.74 ((node4(s15) | (~until5(s15)) | xuntil6(s15)) <=> (xuntil6(s15) | node4(s15) | (~until5(s15)))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(1040,plain,
% 8.28/5.74 (((~![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))))),
% 8.28/5.74 inference(monotonicity,[status(thm)],[1039])).
% 8.28/5.74 tff(1041,plain,
% 8.28/5.74 (((~![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)))),
% 8.28/5.74 inference(transitivity,[status(thm)],[1040, 1038])).
% 8.28/5.74 tff(1042,plain,
% 8.28/5.74 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s15) | (~until5(s15)) | xuntil6(s15))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(1043,plain,
% 8.28/5.74 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s15) | node4(s15) | (~until5(s15))),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[1042, 1041])).
% 8.28/5.74 tff(1044,plain,
% 8.28/5.74 (node4(s15) | (~until5(s15))),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[1043, 36, 1003])).
% 8.28/5.74 tff(1045,plain,
% 8.28/5.74 (~until5(s15)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[1044, 1037])).
% 8.28/5.74 tff(1046,plain,
% 8.28/5.74 (((~![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))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(1047,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s14, s15)) | (~xuntil6(s14)) | until5(s15))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(1048,plain,
% 8.28/5.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s14, s15)) | (~xuntil6(s14)) | until5(s15)),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[1047, 1046])).
% 8.28/5.74 tff(1049,plain,
% 8.28/5.74 ((~xuntil6(s14)) | until5(s15)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[1048, 1007, 141])).
% 8.28/5.74 tff(1050,plain,
% 8.28/5.74 (~xuntil6(s14)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[1049, 1045])).
% 8.28/5.74 tff(1051,plain,
% 8.28/5.74 (((~![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)))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(1052,plain,
% 8.28/5.74 ((node4(s14) | (~until5(s14)) | xuntil6(s14)) <=> (xuntil6(s14) | node4(s14) | (~until5(s14)))),
% 8.28/5.74 inference(rewrite,[status(thm)],[])).
% 8.28/5.74 tff(1053,plain,
% 8.28/5.74 (((~![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))))),
% 8.28/5.74 inference(monotonicity,[status(thm)],[1052])).
% 8.28/5.74 tff(1054,plain,
% 8.28/5.74 (((~![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)))),
% 8.28/5.74 inference(transitivity,[status(thm)],[1053, 1051])).
% 8.28/5.74 tff(1055,plain,
% 8.28/5.74 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s14) | (~until5(s14)) | xuntil6(s14))),
% 8.28/5.74 inference(quant_inst,[status(thm)],[])).
% 8.28/5.74 tff(1056,plain,
% 8.28/5.74 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s14) | node4(s14) | (~until5(s14))),
% 8.28/5.74 inference(modus_ponens,[status(thm)],[1055, 1054])).
% 8.28/5.74 tff(1057,plain,
% 8.28/5.74 (~until5(s14)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[1056, 36, 1050, 1033])).
% 8.28/5.74 tff(1058,plain,
% 8.28/5.74 (~xuntil6(s13)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[1001, 1057])).
% 8.28/5.74 tff(1059,plain,
% 8.28/5.74 (~node4(s13)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[932, 22, 1017])).
% 8.28/5.74 tff(1060,plain,
% 8.28/5.74 (xuntil6(s13) | (~until5(s13))),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[939, 36, 1059])).
% 8.28/5.74 tff(1061,plain,
% 8.28/5.74 (~until5(s13)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[1060, 1058])).
% 8.28/5.74 tff(1062,plain,
% 8.28/5.74 (~xuntil6(s12)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[921, 1061])).
% 8.28/5.74 tff(1063,plain,
% 8.28/5.74 (~node4(s12)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[769, 22, 1018])).
% 8.28/5.74 tff(1064,plain,
% 8.28/5.74 (xuntil6(s12) | (~until5(s12))),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[743, 36, 1063])).
% 8.28/5.74 tff(1065,plain,
% 8.28/5.74 (~until5(s12)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[1064, 1062])).
% 8.28/5.74 tff(1066,plain,
% 8.28/5.74 (~xuntil6(s11)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[776, 1065])).
% 8.28/5.74 tff(1067,plain,
% 8.28/5.74 (~node4(s11)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[765, 22, 1019])).
% 8.28/5.74 tff(1068,plain,
% 8.28/5.74 (xuntil6(s11) | (~until5(s11))),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[812, 36, 1067])).
% 8.28/5.74 tff(1069,plain,
% 8.28/5.74 (~until5(s11)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[1068, 1066])).
% 8.28/5.74 tff(1070,plain,
% 8.28/5.74 (~xuntil6(s10)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[805, 1069])).
% 8.28/5.74 tff(1071,plain,
% 8.28/5.74 (~node4(s6)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[161, 22, 1024])).
% 8.28/5.74 tff(1072,plain,
% 8.28/5.74 (~node4(s5)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[117, 22, 1025])).
% 8.28/5.74 tff(1073,assumption,(until5(s5)), introduced(assumption)).
% 8.28/5.74 tff(1074,plain,
% 8.28/5.74 (xuntil6(s5) | node4(s5)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[237, 36, 1073])).
% 8.28/5.74 tff(1075,plain,
% 8.28/5.74 (xuntil6(s5)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[1074, 1072])).
% 8.28/5.74 tff(1076,plain,
% 8.28/5.74 (until5(s6)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[230, 1075])).
% 8.28/5.74 tff(1077,plain,
% 8.28/5.74 (xuntil6(s6)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[224, 36, 1076, 1071])).
% 8.28/5.74 tff(1078,plain,
% 8.28/5.74 (until5(s7)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[145, 1077])).
% 8.28/5.74 tff(1079,plain,
% 8.28/5.74 (~node4(s7)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[121, 22, 1023])).
% 8.28/5.74 tff(1080,plain,
% 8.28/5.74 (xuntil6(s7) | (~until5(s7))),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[129, 36, 1079])).
% 8.28/5.74 tff(1081,plain,
% 8.28/5.74 (xuntil6(s7)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[1080, 1078])).
% 8.28/5.74 tff(1082,plain,
% 8.28/5.74 (until5(s8)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[391, 1081])).
% 8.28/5.74 tff(1083,plain,
% 8.28/5.74 (~node4(s8)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[76, 22, 1022])).
% 8.28/5.74 tff(1084,plain,
% 8.28/5.74 (xuntil6(s8) | (~until5(s8))),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[398, 36, 1083])).
% 8.28/5.74 tff(1085,plain,
% 8.28/5.74 (xuntil6(s8)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[1084, 1082])).
% 8.28/5.74 tff(1086,plain,
% 8.28/5.74 (until5(s9)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[404, 1085])).
% 8.28/5.74 tff(1087,plain,
% 8.28/5.74 (~node4(s9)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[25, 22, 1021])).
% 8.28/5.74 tff(1088,plain,
% 8.28/5.74 (xuntil6(s9) | (~until5(s9))),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[42, 36, 1087])).
% 8.28/5.74 tff(1089,plain,
% 8.28/5.74 (xuntil6(s9)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[1088, 1086])).
% 8.28/5.74 tff(1090,plain,
% 8.28/5.74 (until5(s10)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[733, 1089])).
% 8.28/5.74 tff(1091,plain,
% 8.28/5.74 (~node4(s10)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[792, 22, 1020])).
% 8.28/5.74 tff(1092,plain,
% 8.28/5.74 (xuntil6(s10) | (~until5(s10))),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[799, 36, 1091])).
% 8.28/5.74 tff(1093,plain,
% 8.28/5.74 ($false),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[1092, 1090, 1070])).
% 8.28/5.74 tff(1094,plain,(always3(s15) | (~until5(s5)) | xuntil6(s15)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.74 tff(1095,plain,
% 8.28/5.74 (~until5(s5)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[1094, 1004, 1003])).
% 8.28/5.74 tff(1096,plain,
% 8.28/5.74 (~xuntil6(s4)),
% 8.28/5.74 inference(unit_resolution,[status(thm)],[245, 1095])).
% 8.28/5.75 tff(1097,plain,
% 8.28/5.75 (~until5(s4)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[265, 36, 1096, 1029])).
% 8.28/5.75 tff(1098,plain,
% 8.28/5.75 (~xuntil6(s3)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[274, 1097])).
% 8.28/5.75 tff(1099,plain,
% 8.28/5.75 (~until5(s3)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[383, 36, 1098, 1028])).
% 8.28/5.75 tff(1100,plain,
% 8.28/5.75 (~xuntil6(s2)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[372, 1099])).
% 8.28/5.75 tff(1101,plain,
% 8.28/5.75 (~always3(s2)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[295, 1027])).
% 8.28/5.75 tff(1102,plain,
% 8.28/5.75 (~always3(s1)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[307, 1101])).
% 8.28/5.75 tff(1103,plain,
% 8.28/5.75 (~node4(s1)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[311, 22, 1102])).
% 8.28/5.75 tff(1104,plain,
% 8.28/5.75 (~always3(s0)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[323, 1102])).
% 8.28/5.75 tff(1105,plain,
% 8.28/5.75 (~node4(s0)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[327, 22, 1104])).
% 8.28/5.75 tff(1106,plain,
% 8.28/5.75 (xuntil6(s0)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[338, 1105])).
% 8.28/5.75 tff(1107,plain,
% 8.28/5.75 (until5(s1)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[343, 1106])).
% 8.28/5.75 tff(1108,plain,
% 8.28/5.75 (xuntil6(s1)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[350, 36, 1107, 1103])).
% 8.28/5.75 tff(1109,plain,
% 8.28/5.75 (until5(s2)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[355, 1108])).
% 8.28/5.75 tff(1110,plain,
% 8.28/5.75 (~node4(s2)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[359, 22, 1101])).
% 8.28/5.75 tff(1111,plain,
% 8.28/5.75 (xuntil6(s2) | (~until5(s2))),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[366, 36, 1110])).
% 8.28/5.75 tff(1112,plain,
% 8.28/5.75 ($false),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1111, 1109, 1100])).
% 8.28/5.75 tff(1113,plain,(always3(s15) | xuntil6(s15)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.75 tff(1114,plain,
% 8.28/5.75 (always3(s15)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1113, 1003])).
% 8.28/5.75 tff(1115,plain,
% 8.28/5.75 (succ(s15, s16) <=> succ(s15, s16)),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1116,axiom,(succ(s15, s16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound16')).
% 8.28/5.75 tff(1117,plain,
% 8.28/5.75 (succ(s15, s16)),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1116, 1115])).
% 8.28/5.75 tff(1118,plain,
% 8.28/5.75 (((~![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))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1119,plain,
% 8.28/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s15, s16)) | trans(s15, s16))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1120,plain,
% 8.28/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s15, s16)) | trans(s15, s16)),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1119, 1118])).
% 8.28/5.75 tff(1121,plain,
% 8.28/5.75 (trans(s15, s16)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1120, 1117, 51])).
% 8.28/5.75 tff(1122,plain,
% 8.28/5.75 (((~![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))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1123,plain,
% 8.28/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s15, s16)) | (~always3(s15)) | always3(s16))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1124,plain,
% 8.28/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s15, s16)) | (~always3(s15)) | always3(s16)),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1123, 1122])).
% 8.28/5.75 tff(1125,plain,
% 8.28/5.75 ((~always3(s15)) | always3(s16)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1124, 68, 1121])).
% 8.28/5.75 tff(1126,plain,
% 8.28/5.75 (always3(s16)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1125, 1114])).
% 8.28/5.75 tff(1127,plain,
% 8.28/5.75 (((~![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)))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1128,plain,
% 8.28/5.75 (((~m_main_v_state(s16, c_busy)) | (~always3(s16))) <=> ((~always3(s16)) | (~m_main_v_state(s16, c_busy)))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1129,plain,
% 8.28/5.75 (((~![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))))),
% 8.28/5.75 inference(monotonicity,[status(thm)],[1128])).
% 8.28/5.75 tff(1130,plain,
% 8.28/5.75 (((~![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)))),
% 8.28/5.75 inference(transitivity,[status(thm)],[1129, 1127])).
% 8.28/5.75 tff(1131,plain,
% 8.28/5.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s16, c_busy)) | (~always3(s16)))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1132,plain,
% 8.28/5.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s16)) | (~m_main_v_state(s16, c_busy))),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1131, 1130])).
% 8.28/5.75 tff(1133,plain,
% 8.28/5.75 (~m_main_v_state(s16, c_busy)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1132, 170, 1126])).
% 8.28/5.75 tff(1134,plain,
% 8.28/5.75 (((~![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)))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1135,plain,
% 8.28/5.75 (((~m_main_v_state(s15, c_busy)) | (~always3(s15))) <=> ((~always3(s15)) | (~m_main_v_state(s15, c_busy)))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1136,plain,
% 8.28/5.75 (((~![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))))),
% 8.28/5.75 inference(monotonicity,[status(thm)],[1135])).
% 8.28/5.75 tff(1137,plain,
% 8.28/5.75 (((~![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)))),
% 8.28/5.75 inference(transitivity,[status(thm)],[1136, 1134])).
% 8.28/5.75 tff(1138,plain,
% 8.28/5.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s15, c_busy)) | (~always3(s15)))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1139,plain,
% 8.28/5.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s15)) | (~m_main_v_state(s15, c_busy))),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1138, 1137])).
% 8.28/5.75 tff(1140,plain,
% 8.28/5.75 (~m_main_v_state(s15, c_busy)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1139, 170, 1114])).
% 8.28/5.75 tff(1141,plain,
% 8.28/5.75 (((~![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))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1142,plain,
% 8.28/5.75 ((~![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))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1143,plain,
% 8.28/5.75 ((~![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)),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1142, 1141])).
% 8.28/5.75 tff(1144,plain,
% 8.28/5.75 (m_main_v_state(s15, c_ready)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1143, 213, 1140])).
% 8.28/5.75 tff(1145,assumption,(~m_main_v_state(s15, c_busy)), introduced(assumption)).
% 8.28/5.75 tff(1146,assumption,(node4(s14)), introduced(assumption)).
% 8.28/5.75 tff(1147,plain,
% 8.28/5.75 (((~![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)))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1148,plain,
% 8.28/5.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s14) | (~node4(s14)))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1149,plain,
% 8.28/5.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s14) | (~node4(s14))),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1148, 1147])).
% 8.28/5.75 tff(1150,plain,
% 8.28/5.75 (m_main_v_request(s14)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1149, 154, 1146])).
% 8.28/5.75 tff(1151,plain,
% 8.28/5.75 (((~![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))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1152,plain,
% 8.28/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s14, s15)) | node2(s14, s15))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1153,plain,
% 8.28/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s14, s15)) | node2(s14, s15)),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1152, 1151])).
% 8.28/5.75 tff(1154,plain,
% 8.28/5.75 (node2(s14, s15)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1153, 7, 1011])).
% 8.28/5.75 tff(1155,plain,
% 8.28/5.75 (((~![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(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)))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1156,plain,
% 8.28/5.75 ((~![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(s14, c_ready)) | (~node2(s14, s15)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s14)))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1157,plain,
% 8.28/5.75 ((~![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(s14, c_ready)) | (~node2(s14, s15)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s14))),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1156, 1155])).
% 8.28/5.75 tff(1158,plain,
% 8.28/5.75 ((~m_main_v_state(s14, c_ready)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s14))),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1157, 191, 1154])).
% 8.28/5.75 tff(1159,plain,
% 8.28/5.75 (~m_main_v_state(s14, c_ready)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1158, 1150, 1145])).
% 8.28/5.75 tff(1160,plain,
% 8.28/5.75 (always3(s14)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1032, 22, 1146])).
% 8.28/5.75 tff(1161,plain,
% 8.28/5.75 (~m_main_v_state(s14, c_busy)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[973, 170, 1160])).
% 8.28/5.75 tff(1162,plain,
% 8.28/5.75 (((~![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))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1163,plain,
% 8.28/5.75 ((~![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))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1164,plain,
% 8.28/5.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s14, c_busy) | m_main_v_state(s14, c_ready)),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1163, 1162])).
% 8.28/5.75 tff(1165,plain,
% 8.28/5.75 ($false),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1164, 213, 1161, 1159])).
% 8.28/5.75 tff(1166,plain,((~node4(s14)) | m_main_v_state(s15, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.75 tff(1167,plain,
% 8.28/5.75 (~node4(s14)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1166, 1140])).
% 8.28/5.75 tff(1168,assumption,(until5(s14)), introduced(assumption)).
% 8.28/5.75 tff(1169,plain,
% 8.28/5.75 (xuntil6(s14) | node4(s14)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1056, 36, 1168])).
% 8.28/5.75 tff(1170,plain,
% 8.28/5.75 (xuntil6(s14)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1169, 1167])).
% 8.28/5.75 tff(1171,plain,
% 8.28/5.75 (until5(s15)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1049, 1170])).
% 8.28/5.75 tff(1172,plain,
% 8.28/5.75 (node4(s15)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1044, 1171])).
% 8.28/5.75 tff(1173,plain,
% 8.28/5.75 (((~![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)))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1174,plain,
% 8.28/5.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s15) | (~node4(s15)))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1175,plain,
% 8.28/5.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s15) | (~node4(s15))),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1174, 1173])).
% 8.28/5.75 tff(1176,plain,
% 8.28/5.75 (m_main_v_request(s15)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1175, 154, 1172])).
% 8.28/5.75 tff(1177,plain,
% 8.28/5.75 (((~![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))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1178,plain,
% 8.28/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s15, s16)) | node2(s15, s16))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1179,plain,
% 8.28/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s15, s16)) | node2(s15, s16)),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1178, 1177])).
% 8.28/5.75 tff(1180,plain,
% 8.28/5.75 (node2(s15, s16)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1179, 7, 1121])).
% 8.28/5.75 tff(1181,plain,
% 8.28/5.75 (((~![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(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)))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1182,plain,
% 8.28/5.75 ((~![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(s15, c_ready)) | (~node2(s15, s16)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s15)))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1183,plain,
% 8.28/5.75 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s15, c_ready)) | (~node2(s15, s16)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s15))),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1182, 1181])).
% 8.28/5.75 tff(1184,plain,
% 8.28/5.75 ((~m_main_v_state(s15, c_ready)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s15))),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1183, 191, 1180])).
% 8.28/5.75 tff(1185,plain,
% 8.28/5.75 ($false),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1184, 1176, 1144, 1133])).
% 8.28/5.75 tff(1186,plain,(xuntil6(s15) | (~until5(s14))), inference(lemma,lemma(discharge,[]))).
% 8.28/5.75 tff(1187,plain,
% 8.28/5.75 (xuntil6(s15)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1186, 1002])).
% 8.28/5.75 tff(1188,plain,
% 8.28/5.75 (((~![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))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1189,plain,
% 8.28/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s15, s16)) | (~xuntil6(s15)) | until5(s16))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1190,plain,
% 8.28/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s15, s16)) | (~xuntil6(s15)) | until5(s16)),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1189, 1188])).
% 8.28/5.75 tff(1191,plain,
% 8.28/5.75 ((~xuntil6(s15)) | until5(s16)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1190, 1117, 141])).
% 8.28/5.75 tff(1192,plain,
% 8.28/5.75 (until5(s16)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1191, 1187])).
% 8.28/5.75 tff(1193,assumption,(~xuntil6(s17)), introduced(assumption)).
% 8.28/5.75 tff(1194,assumption,(~always3(s17)), introduced(assumption)).
% 8.28/5.75 tff(1195,plain,
% 8.28/5.75 (succ(s16, s17) <=> succ(s16, s17)),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1196,axiom,(succ(s16, s17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound17')).
% 8.28/5.75 tff(1197,plain,
% 8.28/5.75 (succ(s16, s17)),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1196, 1195])).
% 8.28/5.75 tff(1198,plain,
% 8.28/5.75 (((~![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))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1199,plain,
% 8.28/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s16, s17)) | trans(s16, s17))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1200,plain,
% 8.28/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s16, s17)) | trans(s16, s17)),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1199, 1198])).
% 8.28/5.75 tff(1201,plain,
% 8.28/5.75 (trans(s16, s17)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1200, 1197, 51])).
% 8.28/5.75 tff(1202,plain,
% 8.28/5.75 (((~![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))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1203,plain,
% 8.28/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s16, s17)) | (~always3(s16)) | always3(s17))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1204,plain,
% 8.28/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s16, s17)) | (~always3(s16)) | always3(s17)),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1203, 1202])).
% 8.28/5.75 tff(1205,plain,
% 8.28/5.75 ((~always3(s16)) | always3(s17)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1204, 68, 1201])).
% 8.28/5.75 tff(1206,plain,
% 8.28/5.75 (~always3(s16)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1205, 1194])).
% 8.28/5.75 tff(1207,plain,
% 8.28/5.75 (~always3(s15)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1125, 1206])).
% 8.28/5.75 tff(1208,plain,
% 8.28/5.75 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s16) | (~node4(s16)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s16) | (~node4(s16)))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1209,plain,
% 8.28/5.75 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s16) | (~node4(s16)))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1210,plain,
% 8.28/5.75 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s16) | (~node4(s16))),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1209, 1208])).
% 8.28/5.75 tff(1211,plain,
% 8.28/5.75 (~node4(s16)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1210, 22, 1206])).
% 8.28/5.75 tff(1212,plain,
% 8.28/5.75 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s17) | (~node4(s17)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s17) | (~node4(s17)))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1213,plain,
% 8.28/5.75 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s17) | (~node4(s17)))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1214,plain,
% 8.28/5.75 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s17) | (~node4(s17))),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1213, 1212])).
% 8.28/5.75 tff(1215,plain,
% 8.28/5.75 (~node4(s17)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1214, 22, 1194])).
% 8.28/5.75 tff(1216,plain,
% 8.28/5.75 (((~![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)))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1217,plain,
% 8.28/5.75 ((node4(s17) | (~until5(s17)) | xuntil6(s17)) <=> (xuntil6(s17) | node4(s17) | (~until5(s17)))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1218,plain,
% 8.28/5.75 (((~![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))))),
% 8.28/5.75 inference(monotonicity,[status(thm)],[1217])).
% 8.28/5.75 tff(1219,plain,
% 8.28/5.75 (((~![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)))),
% 8.28/5.75 inference(transitivity,[status(thm)],[1218, 1216])).
% 8.28/5.75 tff(1220,plain,
% 8.28/5.75 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s17) | (~until5(s17)) | xuntil6(s17))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1221,plain,
% 8.28/5.75 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s17) | node4(s17) | (~until5(s17))),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1220, 1219])).
% 8.28/5.75 tff(1222,plain,
% 8.28/5.75 (node4(s17) | (~until5(s17))),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1221, 36, 1193])).
% 8.28/5.75 tff(1223,plain,
% 8.28/5.75 (~until5(s17)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1222, 1215])).
% 8.28/5.75 tff(1224,plain,
% 8.28/5.75 (((~![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))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1225,plain,
% 8.28/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s16, s17)) | (~xuntil6(s16)) | until5(s17))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1226,plain,
% 8.28/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s16, s17)) | (~xuntil6(s16)) | until5(s17)),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1225, 1224])).
% 8.28/5.75 tff(1227,plain,
% 8.28/5.75 ((~xuntil6(s16)) | until5(s17)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1226, 1197, 141])).
% 8.28/5.75 tff(1228,plain,
% 8.28/5.75 (~xuntil6(s16)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1227, 1223])).
% 8.28/5.75 tff(1229,plain,
% 8.28/5.75 (((~![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)))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1230,plain,
% 8.28/5.75 ((node4(s16) | (~until5(s16)) | xuntil6(s16)) <=> (xuntil6(s16) | node4(s16) | (~until5(s16)))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1231,plain,
% 8.28/5.75 (((~![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))))),
% 8.28/5.75 inference(monotonicity,[status(thm)],[1230])).
% 8.28/5.75 tff(1232,plain,
% 8.28/5.75 (((~![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)))),
% 8.28/5.75 inference(transitivity,[status(thm)],[1231, 1229])).
% 8.28/5.75 tff(1233,plain,
% 8.28/5.75 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s16) | (~until5(s16)) | xuntil6(s16))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1234,plain,
% 8.28/5.75 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s16) | node4(s16) | (~until5(s16))),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1233, 1232])).
% 8.28/5.75 tff(1235,plain,
% 8.28/5.75 (~until5(s16)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1234, 36, 1228, 1211])).
% 8.28/5.75 tff(1236,plain,
% 8.28/5.75 (~xuntil6(s15)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1191, 1235])).
% 8.28/5.75 tff(1237,plain,
% 8.28/5.75 (~until5(s5)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1094, 1236, 1207])).
% 8.28/5.75 tff(1238,plain,
% 8.28/5.75 (~xuntil6(s4)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[245, 1237])).
% 8.28/5.75 tff(1239,plain,
% 8.28/5.75 (~always3(s14)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1015, 1207])).
% 8.28/5.75 tff(1240,plain,
% 8.28/5.75 (~always3(s13)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[966, 1239])).
% 8.28/5.75 tff(1241,plain,
% 8.28/5.75 (~always3(s12)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[826, 1240])).
% 8.28/5.75 tff(1242,plain,
% 8.28/5.75 (~always3(s11)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[761, 1241])).
% 8.28/5.75 tff(1243,plain,
% 8.28/5.75 (~always3(s10)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[788, 1242])).
% 8.28/5.75 tff(1244,plain,
% 8.28/5.75 (~always3(s9)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[425, 1243])).
% 8.28/5.75 tff(1245,plain,
% 8.28/5.75 (~always3(s8)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[72, 1244])).
% 8.28/5.75 tff(1246,plain,
% 8.28/5.75 (~always3(s7)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[88, 1245])).
% 8.28/5.75 tff(1247,plain,
% 8.28/5.75 (~always3(s6)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[101, 1246])).
% 8.28/5.75 tff(1248,plain,
% 8.28/5.75 (~always3(s5)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[113, 1247])).
% 8.28/5.75 tff(1249,plain,
% 8.28/5.75 (~always3(s4)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[254, 1248])).
% 8.28/5.75 tff(1250,plain,
% 8.28/5.75 (~node4(s4)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[258, 22, 1249])).
% 8.28/5.75 tff(1251,plain,
% 8.28/5.75 (xuntil6(s4) | (~until5(s4))),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[265, 36, 1250])).
% 8.28/5.75 tff(1252,plain,
% 8.28/5.75 (~until5(s4)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1251, 1238])).
% 8.28/5.75 tff(1253,plain,
% 8.28/5.75 (~always3(s3)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[283, 1249])).
% 8.28/5.75 tff(1254,plain,
% 8.28/5.75 (~always3(s2)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[295, 1253])).
% 8.28/5.75 tff(1255,plain,
% 8.28/5.75 (~always3(s1)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[307, 1254])).
% 8.28/5.75 tff(1256,plain,
% 8.28/5.75 (~node4(s1)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[311, 22, 1255])).
% 8.28/5.75 tff(1257,plain,
% 8.28/5.75 (~always3(s0)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[323, 1255])).
% 8.28/5.75 tff(1258,plain,
% 8.28/5.75 (~node4(s0)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[327, 22, 1257])).
% 8.28/5.75 tff(1259,plain,
% 8.28/5.75 (xuntil6(s0)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[338, 1258])).
% 8.28/5.75 tff(1260,plain,
% 8.28/5.75 (until5(s1)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[343, 1259])).
% 8.28/5.75 tff(1261,plain,
% 8.28/5.75 (xuntil6(s1)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[350, 36, 1260, 1256])).
% 8.28/5.75 tff(1262,plain,
% 8.28/5.75 (until5(s2)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[355, 1261])).
% 8.28/5.75 tff(1263,plain,
% 8.28/5.75 (~node4(s2)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[359, 22, 1254])).
% 8.28/5.75 tff(1264,plain,
% 8.28/5.75 (xuntil6(s2) | (~until5(s2))),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[366, 36, 1263])).
% 8.28/5.75 tff(1265,plain,
% 8.28/5.75 (xuntil6(s2)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1264, 1262])).
% 8.28/5.75 tff(1266,plain,
% 8.28/5.75 (until5(s3)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[372, 1265])).
% 8.28/5.75 tff(1267,plain,
% 8.28/5.75 (~node4(s3)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[376, 22, 1253])).
% 8.28/5.75 tff(1268,plain,
% 8.28/5.75 (xuntil6(s3) | (~until5(s3))),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[383, 36, 1267])).
% 8.28/5.75 tff(1269,plain,
% 8.28/5.75 (xuntil6(s3)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1268, 1266])).
% 8.28/5.75 tff(1270,plain,
% 8.28/5.75 ($false),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[274, 1269, 1252])).
% 8.28/5.75 tff(1271,plain,(always3(s17) | xuntil6(s17)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.75 tff(1272,plain,
% 8.28/5.75 (always3(s17)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1271, 1193])).
% 8.28/5.75 tff(1273,plain,
% 8.28/5.75 (succ(s17, s18) <=> succ(s17, s18)),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1274,axiom,(succ(s17, s18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound18')).
% 8.28/5.75 tff(1275,plain,
% 8.28/5.75 (succ(s17, s18)),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1274, 1273])).
% 8.28/5.75 tff(1276,plain,
% 8.28/5.75 (((~![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))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1277,plain,
% 8.28/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s17, s18)) | trans(s17, s18))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1278,plain,
% 8.28/5.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s17, s18)) | trans(s17, s18)),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1277, 1276])).
% 8.28/5.75 tff(1279,plain,
% 8.28/5.75 (trans(s17, s18)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1278, 1275, 51])).
% 8.28/5.75 tff(1280,plain,
% 8.28/5.75 (((~![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))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1281,plain,
% 8.28/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s17, s18)) | (~always3(s17)) | always3(s18))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1282,plain,
% 8.28/5.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s17, s18)) | (~always3(s17)) | always3(s18)),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1281, 1280])).
% 8.28/5.75 tff(1283,plain,
% 8.28/5.75 ((~always3(s17)) | always3(s18)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1282, 68, 1279])).
% 8.28/5.75 tff(1284,plain,
% 8.28/5.75 (always3(s18)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1283, 1272])).
% 8.28/5.75 tff(1285,plain,
% 8.28/5.75 (((~![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)))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1286,plain,
% 8.28/5.75 (((~m_main_v_state(s18, c_busy)) | (~always3(s18))) <=> ((~always3(s18)) | (~m_main_v_state(s18, c_busy)))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1287,plain,
% 8.28/5.75 (((~![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))))),
% 8.28/5.75 inference(monotonicity,[status(thm)],[1286])).
% 8.28/5.75 tff(1288,plain,
% 8.28/5.75 (((~![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)))),
% 8.28/5.75 inference(transitivity,[status(thm)],[1287, 1285])).
% 8.28/5.75 tff(1289,plain,
% 8.28/5.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s18, c_busy)) | (~always3(s18)))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1290,plain,
% 8.28/5.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s18)) | (~m_main_v_state(s18, c_busy))),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1289, 1288])).
% 8.28/5.75 tff(1291,plain,
% 8.28/5.75 (~m_main_v_state(s18, c_busy)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1290, 170, 1284])).
% 8.28/5.75 tff(1292,plain,
% 8.28/5.75 (((~![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)))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1293,plain,
% 8.28/5.75 (((~m_main_v_state(s17, c_busy)) | (~always3(s17))) <=> ((~always3(s17)) | (~m_main_v_state(s17, c_busy)))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1294,plain,
% 8.28/5.75 (((~![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))))),
% 8.28/5.75 inference(monotonicity,[status(thm)],[1293])).
% 8.28/5.75 tff(1295,plain,
% 8.28/5.75 (((~![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)))),
% 8.28/5.75 inference(transitivity,[status(thm)],[1294, 1292])).
% 8.28/5.75 tff(1296,plain,
% 8.28/5.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s17, c_busy)) | (~always3(s17)))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1297,plain,
% 8.28/5.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s17)) | (~m_main_v_state(s17, c_busy))),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1296, 1295])).
% 8.28/5.75 tff(1298,plain,
% 8.28/5.75 (~m_main_v_state(s17, c_busy)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1297, 170, 1272])).
% 8.28/5.75 tff(1299,plain,
% 8.28/5.75 (((~![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))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1300,plain,
% 8.28/5.75 ((~![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))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1301,plain,
% 8.28/5.75 ((~![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)),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1300, 1299])).
% 8.28/5.75 tff(1302,plain,
% 8.28/5.75 (m_main_v_state(s17, c_ready)),
% 8.28/5.75 inference(unit_resolution,[status(thm)],[1301, 213, 1298])).
% 8.28/5.75 tff(1303,assumption,(~m_main_v_state(s17, c_busy)), introduced(assumption)).
% 8.28/5.75 tff(1304,assumption,(node4(s16)), introduced(assumption)).
% 8.28/5.75 tff(1305,plain,
% 8.28/5.75 (((~![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)))),
% 8.28/5.75 inference(rewrite,[status(thm)],[])).
% 8.28/5.75 tff(1306,plain,
% 8.28/5.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s16) | (~node4(s16)))),
% 8.28/5.75 inference(quant_inst,[status(thm)],[])).
% 8.28/5.75 tff(1307,plain,
% 8.28/5.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s16) | (~node4(s16))),
% 8.28/5.75 inference(modus_ponens,[status(thm)],[1306, 1305])).
% 8.28/5.76 tff(1308,plain,
% 8.28/5.76 (m_main_v_request(s16)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1307, 154, 1304])).
% 8.28/5.76 tff(1309,plain,
% 8.28/5.76 (((~![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))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1310,plain,
% 8.28/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s16, s17)) | node2(s16, s17))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1311,plain,
% 8.28/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s16, s17)) | node2(s16, s17)),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1310, 1309])).
% 8.28/5.76 tff(1312,plain,
% 8.28/5.76 (node2(s16, s17)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1311, 7, 1201])).
% 8.28/5.76 tff(1313,plain,
% 8.28/5.76 (((~![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(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)))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1314,plain,
% 8.28/5.76 ((~![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(s16, c_ready)) | (~node2(s16, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s16)))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1315,plain,
% 8.28/5.76 ((~![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(s16, c_ready)) | (~node2(s16, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s16))),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1314, 1313])).
% 8.28/5.76 tff(1316,plain,
% 8.28/5.76 ((~m_main_v_state(s16, c_ready)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s16))),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1315, 191, 1312])).
% 8.28/5.76 tff(1317,plain,
% 8.28/5.76 (~m_main_v_state(s16, c_ready)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1316, 1308, 1303])).
% 8.28/5.76 tff(1318,plain,
% 8.28/5.76 (always3(s16)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1210, 22, 1304])).
% 8.28/5.76 tff(1319,plain,
% 8.28/5.76 (~m_main_v_state(s16, c_busy)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1132, 170, 1318])).
% 8.28/5.76 tff(1320,plain,
% 8.28/5.76 (((~![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))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1321,plain,
% 8.28/5.76 ((~![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))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1322,plain,
% 8.28/5.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s16, c_busy) | m_main_v_state(s16, c_ready)),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1321, 1320])).
% 8.28/5.76 tff(1323,plain,
% 8.28/5.76 ($false),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1322, 213, 1319, 1317])).
% 8.28/5.76 tff(1324,plain,((~node4(s16)) | m_main_v_state(s17, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.76 tff(1325,plain,
% 8.28/5.76 (~node4(s16)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1324, 1298])).
% 8.28/5.76 tff(1326,assumption,(until5(s16)), introduced(assumption)).
% 8.28/5.76 tff(1327,plain,
% 8.28/5.76 (xuntil6(s16) | node4(s16)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1234, 36, 1326])).
% 8.28/5.76 tff(1328,plain,
% 8.28/5.76 (xuntil6(s16)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1327, 1325])).
% 8.28/5.76 tff(1329,plain,
% 8.28/5.76 (until5(s17)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1227, 1328])).
% 8.28/5.76 tff(1330,plain,
% 8.28/5.76 (node4(s17)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1222, 1329])).
% 8.28/5.76 tff(1331,plain,
% 8.28/5.76 (((~![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)))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1332,plain,
% 8.28/5.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s17) | (~node4(s17)))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1333,plain,
% 8.28/5.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s17) | (~node4(s17))),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1332, 1331])).
% 8.28/5.76 tff(1334,plain,
% 8.28/5.76 (m_main_v_request(s17)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1333, 154, 1330])).
% 8.28/5.76 tff(1335,plain,
% 8.28/5.76 (((~![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))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1336,plain,
% 8.28/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s17, s18)) | node2(s17, s18))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1337,plain,
% 8.28/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s17, s18)) | node2(s17, s18)),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1336, 1335])).
% 8.28/5.76 tff(1338,plain,
% 8.28/5.76 (node2(s17, s18)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1337, 7, 1279])).
% 8.28/5.76 tff(1339,plain,
% 8.28/5.76 (((~![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(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)))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1340,plain,
% 8.28/5.76 ((~![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(s17, c_ready)) | (~node2(s17, s18)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s17)))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1341,plain,
% 8.28/5.76 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s17, c_ready)) | (~node2(s17, s18)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s17))),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1340, 1339])).
% 8.28/5.76 tff(1342,plain,
% 8.28/5.76 ((~m_main_v_state(s17, c_ready)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s17))),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1341, 191, 1338])).
% 8.28/5.76 tff(1343,plain,
% 8.28/5.76 ($false),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1342, 1334, 1302, 1291])).
% 8.28/5.76 tff(1344,plain,(xuntil6(s17) | (~until5(s16))), inference(lemma,lemma(discharge,[]))).
% 8.28/5.76 tff(1345,plain,
% 8.28/5.76 (xuntil6(s17)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1344, 1192])).
% 8.28/5.76 tff(1346,plain,
% 8.28/5.76 (((~![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))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1347,plain,
% 8.28/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s17, s18)) | (~xuntil6(s17)) | until5(s18))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1348,plain,
% 8.28/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s17, s18)) | (~xuntil6(s17)) | until5(s18)),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1347, 1346])).
% 8.28/5.76 tff(1349,plain,
% 8.28/5.76 ((~xuntil6(s17)) | until5(s18)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1348, 1275, 141])).
% 8.28/5.76 tff(1350,plain,
% 8.28/5.76 (until5(s18)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1349, 1345])).
% 8.28/5.76 tff(1351,assumption,(~xuntil6(s20)), introduced(assumption)).
% 8.28/5.76 tff(1352,assumption,(~always3(s20)), introduced(assumption)).
% 8.28/5.76 tff(1353,plain,
% 8.28/5.76 (succ(s19, s20) <=> succ(s19, s20)),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1354,axiom,(succ(s19, s20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound20')).
% 8.28/5.76 tff(1355,plain,
% 8.28/5.76 (succ(s19, s20)),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1354, 1353])).
% 8.28/5.76 tff(1356,plain,
% 8.28/5.76 (((~![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))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1357,plain,
% 8.28/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s19, s20)) | trans(s19, s20))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1358,plain,
% 8.28/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s19, s20)) | trans(s19, s20)),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1357, 1356])).
% 8.28/5.76 tff(1359,plain,
% 8.28/5.76 (trans(s19, s20)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1358, 1355, 51])).
% 8.28/5.76 tff(1360,plain,
% 8.28/5.76 (((~![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))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1361,plain,
% 8.28/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s19, s20)) | (~always3(s19)) | always3(s20))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1362,plain,
% 8.28/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s19, s20)) | (~always3(s19)) | always3(s20)),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1361, 1360])).
% 8.28/5.76 tff(1363,plain,
% 8.28/5.76 ((~always3(s19)) | always3(s20)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1362, 68, 1359])).
% 8.28/5.76 tff(1364,plain,
% 8.28/5.76 (~always3(s19)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1363, 1352])).
% 8.28/5.76 tff(1365,plain,
% 8.28/5.76 (succ(s18, s19) <=> succ(s18, s19)),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1366,axiom,(succ(s18, s19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound19')).
% 8.28/5.76 tff(1367,plain,
% 8.28/5.76 (succ(s18, s19)),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1366, 1365])).
% 8.28/5.76 tff(1368,plain,
% 8.28/5.76 (((~![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))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1369,plain,
% 8.28/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s18, s19)) | trans(s18, s19))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1370,plain,
% 8.28/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s18, s19)) | trans(s18, s19)),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1369, 1368])).
% 8.28/5.76 tff(1371,plain,
% 8.28/5.76 (trans(s18, s19)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1370, 1367, 51])).
% 8.28/5.76 tff(1372,plain,
% 8.28/5.76 (((~![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))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1373,plain,
% 8.28/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s18, s19)) | (~always3(s18)) | always3(s19))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1374,plain,
% 8.28/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s18, s19)) | (~always3(s18)) | always3(s19)),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1373, 1372])).
% 8.28/5.76 tff(1375,plain,
% 8.28/5.76 ((~always3(s18)) | always3(s19)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1374, 68, 1371])).
% 8.28/5.76 tff(1376,plain,
% 8.28/5.76 (~always3(s18)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1375, 1364])).
% 8.28/5.76 tff(1377,plain,
% 8.28/5.76 (~always3(s17)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1283, 1376])).
% 8.28/5.76 tff(1378,plain,
% 8.28/5.76 (~always3(s16)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1205, 1377])).
% 8.28/5.76 tff(1379,plain,
% 8.28/5.76 (~always3(s15)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1125, 1378])).
% 8.28/5.76 tff(1380,plain,
% 8.28/5.76 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s19) | (~node4(s19)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s19) | (~node4(s19)))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1381,plain,
% 8.28/5.76 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s19) | (~node4(s19)))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1382,plain,
% 8.28/5.76 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s19) | (~node4(s19))),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1381, 1380])).
% 8.28/5.76 tff(1383,plain,
% 8.28/5.76 (~node4(s19)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1382, 22, 1364])).
% 8.28/5.76 tff(1384,plain,
% 8.28/5.76 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s20) | (~node4(s20)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s20) | (~node4(s20)))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1385,plain,
% 8.28/5.76 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s20) | (~node4(s20)))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1386,plain,
% 8.28/5.76 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s20) | (~node4(s20))),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1385, 1384])).
% 8.28/5.76 tff(1387,plain,
% 8.28/5.76 (~node4(s20)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1386, 22, 1352])).
% 8.28/5.76 tff(1388,plain,
% 8.28/5.76 (((~![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)))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1389,plain,
% 8.28/5.76 ((node4(s20) | (~until5(s20)) | xuntil6(s20)) <=> (xuntil6(s20) | node4(s20) | (~until5(s20)))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1390,plain,
% 8.28/5.76 (((~![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))))),
% 8.28/5.76 inference(monotonicity,[status(thm)],[1389])).
% 8.28/5.76 tff(1391,plain,
% 8.28/5.76 (((~![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)))),
% 8.28/5.76 inference(transitivity,[status(thm)],[1390, 1388])).
% 8.28/5.76 tff(1392,plain,
% 8.28/5.76 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s20) | (~until5(s20)) | xuntil6(s20))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1393,plain,
% 8.28/5.76 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s20) | node4(s20) | (~until5(s20))),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1392, 1391])).
% 8.28/5.76 tff(1394,plain,
% 8.28/5.76 (node4(s20) | (~until5(s20))),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1393, 36, 1351])).
% 8.28/5.76 tff(1395,plain,
% 8.28/5.76 (~until5(s20)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1394, 1387])).
% 8.28/5.76 tff(1396,plain,
% 8.28/5.76 (((~![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))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1397,plain,
% 8.28/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s19, s20)) | (~xuntil6(s19)) | until5(s20))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1398,plain,
% 8.28/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s19, s20)) | (~xuntil6(s19)) | until5(s20)),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1397, 1396])).
% 8.28/5.76 tff(1399,plain,
% 8.28/5.76 ((~xuntil6(s19)) | until5(s20)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1398, 1355, 141])).
% 8.28/5.76 tff(1400,plain,
% 8.28/5.76 (~xuntil6(s19)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1399, 1395])).
% 8.28/5.76 tff(1401,plain,
% 8.28/5.76 (((~![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)))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1402,plain,
% 8.28/5.76 ((node4(s19) | (~until5(s19)) | xuntil6(s19)) <=> (xuntil6(s19) | node4(s19) | (~until5(s19)))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1403,plain,
% 8.28/5.76 (((~![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))))),
% 8.28/5.76 inference(monotonicity,[status(thm)],[1402])).
% 8.28/5.76 tff(1404,plain,
% 8.28/5.76 (((~![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)))),
% 8.28/5.76 inference(transitivity,[status(thm)],[1403, 1401])).
% 8.28/5.76 tff(1405,plain,
% 8.28/5.76 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s19) | (~until5(s19)) | xuntil6(s19))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1406,plain,
% 8.28/5.76 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s19) | node4(s19) | (~until5(s19))),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1405, 1404])).
% 8.28/5.76 tff(1407,plain,
% 8.28/5.76 (~until5(s19)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1406, 36, 1400, 1383])).
% 8.28/5.76 tff(1408,plain,
% 8.28/5.76 (((~![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))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1409,plain,
% 8.28/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s18, s19)) | (~xuntil6(s18)) | until5(s19))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1410,plain,
% 8.28/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s18, s19)) | (~xuntil6(s18)) | until5(s19)),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1409, 1408])).
% 8.28/5.76 tff(1411,plain,
% 8.28/5.76 ((~xuntil6(s18)) | until5(s19)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1410, 1367, 141])).
% 8.28/5.76 tff(1412,plain,
% 8.28/5.76 (~xuntil6(s18)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1411, 1407])).
% 8.28/5.76 tff(1413,plain,
% 8.28/5.76 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s18) | (~node4(s18)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s18) | (~node4(s18)))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1414,plain,
% 8.28/5.76 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s18) | (~node4(s18)))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1415,plain,
% 8.28/5.76 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s18) | (~node4(s18))),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1414, 1413])).
% 8.28/5.76 tff(1416,plain,
% 8.28/5.76 (~node4(s18)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1415, 22, 1376])).
% 8.28/5.76 tff(1417,plain,
% 8.28/5.76 (((~![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)))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1418,plain,
% 8.28/5.76 ((node4(s18) | (~until5(s18)) | xuntil6(s18)) <=> (xuntil6(s18) | node4(s18) | (~until5(s18)))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1419,plain,
% 8.28/5.76 (((~![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))))),
% 8.28/5.76 inference(monotonicity,[status(thm)],[1418])).
% 8.28/5.76 tff(1420,plain,
% 8.28/5.76 (((~![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)))),
% 8.28/5.76 inference(transitivity,[status(thm)],[1419, 1417])).
% 8.28/5.76 tff(1421,plain,
% 8.28/5.76 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s18) | (~until5(s18)) | xuntil6(s18))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1422,plain,
% 8.28/5.76 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s18) | node4(s18) | (~until5(s18))),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1421, 1420])).
% 8.28/5.76 tff(1423,plain,
% 8.28/5.76 (xuntil6(s18) | (~until5(s18))),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1422, 36, 1416])).
% 8.28/5.76 tff(1424,plain,
% 8.28/5.76 (~until5(s18)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1423, 1412])).
% 8.28/5.76 tff(1425,plain,
% 8.28/5.76 (~xuntil6(s17)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1349, 1424])).
% 8.28/5.76 tff(1426,plain,
% 8.28/5.76 (~node4(s17)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1214, 22, 1377])).
% 8.28/5.76 tff(1427,plain,
% 8.28/5.76 (xuntil6(s17) | (~until5(s17))),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1221, 36, 1426])).
% 8.28/5.76 tff(1428,plain,
% 8.28/5.76 (~until5(s17)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1427, 1425])).
% 8.28/5.76 tff(1429,plain,
% 8.28/5.76 (~xuntil6(s16)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1227, 1428])).
% 8.28/5.76 tff(1430,plain,
% 8.28/5.76 (~node4(s16)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1210, 22, 1378])).
% 8.28/5.76 tff(1431,plain,
% 8.28/5.76 (xuntil6(s16) | (~until5(s16))),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1234, 36, 1430])).
% 8.28/5.76 tff(1432,plain,
% 8.28/5.76 (~until5(s16)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1431, 1429])).
% 8.28/5.76 tff(1433,plain,
% 8.28/5.76 (~xuntil6(s15)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1191, 1432])).
% 8.28/5.76 tff(1434,plain,
% 8.28/5.76 (~always3(s14)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1015, 1379])).
% 8.28/5.76 tff(1435,plain,
% 8.28/5.76 (~always3(s13)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[966, 1434])).
% 8.28/5.76 tff(1436,plain,
% 8.28/5.76 (~always3(s12)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[826, 1435])).
% 8.28/5.76 tff(1437,plain,
% 8.28/5.76 (~always3(s11)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[761, 1436])).
% 8.28/5.76 tff(1438,plain,
% 8.28/5.76 (~always3(s10)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[788, 1437])).
% 8.28/5.76 tff(1439,plain,
% 8.28/5.76 (~always3(s9)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[425, 1438])).
% 8.28/5.76 tff(1440,plain,
% 8.28/5.76 (~always3(s8)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[72, 1439])).
% 8.28/5.76 tff(1441,plain,
% 8.28/5.76 (~always3(s7)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[88, 1440])).
% 8.28/5.76 tff(1442,plain,
% 8.28/5.76 (~always3(s6)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[101, 1441])).
% 8.28/5.76 tff(1443,plain,
% 8.28/5.76 (~always3(s5)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[113, 1442])).
% 8.28/5.76 tff(1444,plain,
% 8.28/5.76 (~always3(s4)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[254, 1443])).
% 8.28/5.76 tff(1445,plain,
% 8.28/5.76 (~always3(s3)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[283, 1444])).
% 8.28/5.76 tff(1446,plain,
% 8.28/5.76 (~always3(s2)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[295, 1445])).
% 8.28/5.76 tff(1447,plain,
% 8.28/5.76 (~always3(s1)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[307, 1446])).
% 8.28/5.76 tff(1448,plain,
% 8.28/5.76 (~node4(s1)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[311, 22, 1447])).
% 8.28/5.76 tff(1449,plain,
% 8.28/5.76 (~always3(s0)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[323, 1447])).
% 8.28/5.76 tff(1450,plain,
% 8.28/5.76 (~node4(s0)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[327, 22, 1449])).
% 8.28/5.76 tff(1451,plain,
% 8.28/5.76 (xuntil6(s0)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[338, 1450])).
% 8.28/5.76 tff(1452,plain,
% 8.28/5.76 (until5(s1)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[343, 1451])).
% 8.28/5.76 tff(1453,plain,
% 8.28/5.76 (xuntil6(s1)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[350, 36, 1452, 1448])).
% 8.28/5.76 tff(1454,plain,
% 8.28/5.76 (until5(s2)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[355, 1453])).
% 8.28/5.76 tff(1455,plain,
% 8.28/5.76 (~node4(s2)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[359, 22, 1446])).
% 8.28/5.76 tff(1456,plain,
% 8.28/5.76 (xuntil6(s2) | (~until5(s2))),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[366, 36, 1455])).
% 8.28/5.76 tff(1457,plain,
% 8.28/5.76 (xuntil6(s2)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1456, 1454])).
% 8.28/5.76 tff(1458,plain,
% 8.28/5.76 (until5(s3)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[372, 1457])).
% 8.28/5.76 tff(1459,plain,
% 8.28/5.76 (~node4(s3)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[376, 22, 1445])).
% 8.28/5.76 tff(1460,plain,
% 8.28/5.76 (xuntil6(s3) | (~until5(s3))),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[383, 36, 1459])).
% 8.28/5.76 tff(1461,plain,
% 8.28/5.76 (xuntil6(s3)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1460, 1458])).
% 8.28/5.76 tff(1462,plain,
% 8.28/5.76 (until5(s4)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[274, 1461])).
% 8.28/5.76 tff(1463,plain,
% 8.28/5.76 (~node4(s4)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[258, 22, 1444])).
% 8.28/5.76 tff(1464,plain,
% 8.28/5.76 (xuntil6(s4) | (~until5(s4))),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[265, 36, 1463])).
% 8.28/5.76 tff(1465,plain,
% 8.28/5.76 (xuntil6(s4)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1464, 1462])).
% 8.28/5.76 tff(1466,plain,
% 8.28/5.76 (until5(s5)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[245, 1465])).
% 8.28/5.76 tff(1467,plain,
% 8.28/5.76 ($false),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1094, 1466, 1433, 1379])).
% 8.28/5.76 tff(1468,plain,(always3(s20) | xuntil6(s20)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.76 tff(1469,plain,
% 8.28/5.76 (always3(s20)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1468, 1351])).
% 8.28/5.76 tff(1470,plain,
% 8.28/5.76 (succ(s20, s21) <=> succ(s20, s21)),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1471,axiom,(succ(s20, s21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound21')).
% 8.28/5.76 tff(1472,plain,
% 8.28/5.76 (succ(s20, s21)),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1471, 1470])).
% 8.28/5.76 tff(1473,plain,
% 8.28/5.76 (((~![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))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1474,plain,
% 8.28/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s20, s21)) | trans(s20, s21))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1475,plain,
% 8.28/5.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s20, s21)) | trans(s20, s21)),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1474, 1473])).
% 8.28/5.76 tff(1476,plain,
% 8.28/5.76 (trans(s20, s21)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1475, 1472, 51])).
% 8.28/5.76 tff(1477,plain,
% 8.28/5.76 (((~![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))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1478,plain,
% 8.28/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s20, s21)) | (~always3(s20)) | always3(s21))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1479,plain,
% 8.28/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s20, s21)) | (~always3(s20)) | always3(s21)),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1478, 1477])).
% 8.28/5.76 tff(1480,plain,
% 8.28/5.76 ((~always3(s20)) | always3(s21)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1479, 68, 1476])).
% 8.28/5.76 tff(1481,plain,
% 8.28/5.76 (always3(s21)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1480, 1469])).
% 8.28/5.76 tff(1482,plain,
% 8.28/5.76 (((~![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)))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1483,plain,
% 8.28/5.76 (((~m_main_v_state(s21, c_busy)) | (~always3(s21))) <=> ((~always3(s21)) | (~m_main_v_state(s21, c_busy)))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1484,plain,
% 8.28/5.76 (((~![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))))),
% 8.28/5.76 inference(monotonicity,[status(thm)],[1483])).
% 8.28/5.76 tff(1485,plain,
% 8.28/5.76 (((~![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)))),
% 8.28/5.76 inference(transitivity,[status(thm)],[1484, 1482])).
% 8.28/5.76 tff(1486,plain,
% 8.28/5.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s21, c_busy)) | (~always3(s21)))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1487,plain,
% 8.28/5.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s21)) | (~m_main_v_state(s21, c_busy))),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1486, 1485])).
% 8.28/5.76 tff(1488,plain,
% 8.28/5.76 (~m_main_v_state(s21, c_busy)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1487, 170, 1481])).
% 8.28/5.76 tff(1489,assumption,(until5(s20)), introduced(assumption)).
% 8.28/5.76 tff(1490,plain,
% 8.28/5.76 (xuntil6(s20) | node4(s20)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1393, 36, 1489])).
% 8.28/5.76 tff(1491,plain,
% 8.28/5.76 (node4(s20)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1490, 1351])).
% 8.28/5.76 tff(1492,plain,
% 8.28/5.76 (((~![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)))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1493,plain,
% 8.28/5.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s20) | (~node4(s20)))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1494,plain,
% 8.28/5.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s20) | (~node4(s20))),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1493, 1492])).
% 8.28/5.76 tff(1495,plain,
% 8.28/5.76 (m_main_v_request(s20)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1494, 154, 1491])).
% 8.28/5.76 tff(1496,plain,
% 8.28/5.76 (((~![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))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1497,plain,
% 8.28/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s20, s21)) | node2(s20, s21))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1498,plain,
% 8.28/5.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s20, s21)) | node2(s20, s21)),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1497, 1496])).
% 8.28/5.76 tff(1499,plain,
% 8.28/5.76 (node2(s20, s21)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1498, 7, 1476])).
% 8.28/5.76 tff(1500,plain,
% 8.28/5.76 (((~![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(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)))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1501,plain,
% 8.28/5.76 ((~![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(s20, c_ready)) | (~node2(s20, s21)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s20)))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1502,plain,
% 8.28/5.76 ((~![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(s20, c_ready)) | (~node2(s20, s21)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s20))),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1501, 1500])).
% 8.28/5.76 tff(1503,plain,
% 8.28/5.76 ((~m_main_v_state(s20, c_ready)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s20))),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1502, 191, 1499])).
% 8.28/5.76 tff(1504,plain,
% 8.28/5.76 (~m_main_v_state(s20, c_ready)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1503, 1495, 1488])).
% 8.28/5.76 tff(1505,plain,
% 8.28/5.76 (((~![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)))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1506,plain,
% 8.28/5.76 (((~m_main_v_state(s20, c_busy)) | (~always3(s20))) <=> ((~always3(s20)) | (~m_main_v_state(s20, c_busy)))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1507,plain,
% 8.28/5.76 (((~![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))))),
% 8.28/5.76 inference(monotonicity,[status(thm)],[1506])).
% 8.28/5.76 tff(1508,plain,
% 8.28/5.76 (((~![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)))),
% 8.28/5.76 inference(transitivity,[status(thm)],[1507, 1505])).
% 8.28/5.76 tff(1509,plain,
% 8.28/5.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s20, c_busy)) | (~always3(s20)))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1510,plain,
% 8.28/5.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s20)) | (~m_main_v_state(s20, c_busy))),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1509, 1508])).
% 8.28/5.76 tff(1511,plain,
% 8.28/5.76 (~m_main_v_state(s20, c_busy)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1510, 170, 1469])).
% 8.28/5.76 tff(1512,plain,
% 8.28/5.76 (((~![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))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1513,plain,
% 8.28/5.76 ((~![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))),
% 8.28/5.76 inference(quant_inst,[status(thm)],[])).
% 8.28/5.76 tff(1514,plain,
% 8.28/5.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s20, c_busy) | m_main_v_state(s20, c_ready)),
% 8.28/5.76 inference(modus_ponens,[status(thm)],[1513, 1512])).
% 8.28/5.76 tff(1515,plain,
% 8.28/5.76 ($false),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1514, 213, 1511, 1504])).
% 8.28/5.76 tff(1516,plain,(xuntil6(s20) | (~until5(s20))), inference(lemma,lemma(discharge,[]))).
% 8.28/5.76 tff(1517,plain,
% 8.28/5.76 (~until5(s20)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1516, 1351])).
% 8.28/5.76 tff(1518,plain,
% 8.28/5.76 (~xuntil6(s19)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1399, 1517])).
% 8.28/5.76 tff(1519,assumption,(~xuntil6(s19)), introduced(assumption)).
% 8.28/5.76 tff(1520,assumption,(until5(s18)), introduced(assumption)).
% 8.28/5.76 tff(1521,assumption,(~always3(s19)), introduced(assumption)).
% 8.28/5.76 tff(1522,plain,
% 8.28/5.76 (~always3(s18)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1375, 1521])).
% 8.28/5.76 tff(1523,plain,
% 8.28/5.76 (~node4(s18)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1415, 22, 1522])).
% 8.28/5.76 tff(1524,plain,
% 8.28/5.76 (xuntil6(s18) | node4(s18)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1422, 36, 1520])).
% 8.28/5.76 tff(1525,plain,
% 8.28/5.76 (xuntil6(s18)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1524, 1523])).
% 8.28/5.76 tff(1526,plain,
% 8.28/5.76 (until5(s19)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1411, 1525])).
% 8.28/5.76 tff(1527,plain,
% 8.28/5.76 (node4(s19) | (~until5(s19))),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1406, 36, 1519])).
% 8.28/5.76 tff(1528,plain,
% 8.28/5.76 (node4(s19)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1527, 1526])).
% 8.28/5.76 tff(1529,plain,
% 8.28/5.76 ($false),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1382, 22, 1521, 1528])).
% 8.28/5.76 tff(1530,plain,(always3(s19) | xuntil6(s19) | (~until5(s18))), inference(lemma,lemma(discharge,[]))).
% 8.28/5.76 tff(1531,plain,
% 8.28/5.76 (always3(s19)),
% 8.28/5.76 inference(unit_resolution,[status(thm)],[1530, 1520, 1519])).
% 8.28/5.76 tff(1532,plain,
% 8.28/5.76 (((~![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)))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1533,plain,
% 8.28/5.76 (((~m_main_v_state(s19, c_busy)) | (~always3(s19))) <=> ((~always3(s19)) | (~m_main_v_state(s19, c_busy)))),
% 8.28/5.76 inference(rewrite,[status(thm)],[])).
% 8.28/5.76 tff(1534,plain,
% 8.28/5.76 (((~![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))))),
% 8.28/5.77 inference(monotonicity,[status(thm)],[1533])).
% 8.28/5.77 tff(1535,plain,
% 8.28/5.77 (((~![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)))),
% 8.28/5.77 inference(transitivity,[status(thm)],[1534, 1532])).
% 8.28/5.77 tff(1536,plain,
% 8.28/5.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s19, c_busy)) | (~always3(s19)))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1537,plain,
% 8.28/5.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s19)) | (~m_main_v_state(s19, c_busy))),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1536, 1535])).
% 8.28/5.77 tff(1538,plain,
% 8.28/5.77 (~m_main_v_state(s19, c_busy)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1537, 170, 1531])).
% 8.28/5.77 tff(1539,assumption,(~m_main_v_state(s20, c_busy)), introduced(assumption)).
% 8.28/5.77 tff(1540,plain,
% 8.28/5.77 (((~![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))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1541,plain,
% 8.28/5.77 ((~![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))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1542,plain,
% 8.28/5.77 ((~![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)),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1541, 1540])).
% 8.28/5.77 tff(1543,plain,
% 8.28/5.77 (m_main_v_state(s19, c_ready)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1542, 213, 1538])).
% 8.28/5.77 tff(1544,plain,
% 8.28/5.77 (((~![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))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1545,plain,
% 8.28/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s19, s20)) | node2(s19, s20))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1546,plain,
% 8.28/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s19, s20)) | node2(s19, s20)),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1545, 1544])).
% 8.28/5.77 tff(1547,plain,
% 8.28/5.77 (node2(s19, s20)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1546, 7, 1359])).
% 8.28/5.77 tff(1548,plain,
% 8.28/5.77 (((~![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(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)))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1549,plain,
% 8.28/5.77 ((~![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(s19, c_ready)) | (~node2(s19, s20)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s19)))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1550,plain,
% 8.28/5.77 ((~![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(s19, c_ready)) | (~node2(s19, s20)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s19))),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1549, 1548])).
% 8.28/5.77 tff(1551,plain,
% 8.28/5.77 ((~m_main_v_state(s19, c_ready)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s19))),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1550, 191, 1547])).
% 8.28/5.77 tff(1552,plain,
% 8.28/5.77 (~m_main_v_request(s19)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1551, 1543, 1539])).
% 8.28/5.77 tff(1553,plain,
% 8.28/5.77 (((~![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)))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1554,plain,
% 8.28/5.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s19) | (~node4(s19)))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1555,plain,
% 8.28/5.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s19) | (~node4(s19))),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1554, 1553])).
% 8.28/5.77 tff(1556,plain,
% 8.28/5.77 (~node4(s19)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1555, 154, 1552])).
% 8.28/5.77 tff(1557,plain,
% 8.28/5.77 (~until5(s19)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1527, 1556])).
% 8.28/5.77 tff(1558,plain,
% 8.28/5.77 (~xuntil6(s18)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1411, 1557])).
% 8.28/5.77 tff(1559,plain,
% 8.28/5.77 (node4(s18)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1524, 1558])).
% 8.28/5.77 tff(1560,plain,
% 8.28/5.77 (((~![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)))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1561,plain,
% 8.28/5.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s18) | (~node4(s18)))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1562,plain,
% 8.28/5.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s18) | (~node4(s18))),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1561, 1560])).
% 8.28/5.77 tff(1563,plain,
% 8.28/5.77 (m_main_v_request(s18)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1562, 154, 1559])).
% 8.28/5.77 tff(1564,plain,
% 8.28/5.77 (((~![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))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1565,plain,
% 8.28/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s18, s19)) | node2(s18, s19))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1566,plain,
% 8.28/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s18, s19)) | node2(s18, s19)),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1565, 1564])).
% 8.28/5.77 tff(1567,plain,
% 8.28/5.77 (node2(s18, s19)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1566, 7, 1371])).
% 8.28/5.77 tff(1568,plain,
% 8.28/5.77 (((~![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(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)))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1569,plain,
% 8.28/5.77 ((~![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(s18, c_ready)) | (~node2(s18, s19)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s18)))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1570,plain,
% 8.28/5.77 ((~![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(s18, c_ready)) | (~node2(s18, s19)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s18))),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1569, 1568])).
% 8.28/5.77 tff(1571,plain,
% 8.28/5.77 ((~m_main_v_state(s18, c_ready)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s18))),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1570, 191, 1567])).
% 8.28/5.77 tff(1572,plain,
% 8.28/5.77 (~m_main_v_state(s18, c_ready)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1571, 1563, 1538])).
% 8.28/5.77 tff(1573,plain,
% 8.28/5.77 (always3(s18)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1415, 22, 1559])).
% 8.28/5.77 tff(1574,plain,
% 8.28/5.77 (~m_main_v_state(s18, c_busy)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1290, 170, 1573])).
% 8.28/5.77 tff(1575,plain,
% 8.28/5.77 (((~![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))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1576,plain,
% 8.28/5.77 ((~![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))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1577,plain,
% 8.28/5.77 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s18, c_busy) | m_main_v_state(s18, c_ready)),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1576, 1575])).
% 8.28/5.77 tff(1578,plain,
% 8.28/5.77 ($false),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1577, 213, 1574, 1572])).
% 8.28/5.77 tff(1579,plain,((~until5(s18)) | xuntil6(s19) | m_main_v_state(s20, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.77 tff(1580,plain,
% 8.28/5.77 (m_main_v_state(s20, c_busy)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1579, 1518, 1350])).
% 8.28/5.77 tff(1581,plain,
% 8.28/5.77 ($false),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1510, 170, 1469, 1580])).
% 8.28/5.77 tff(1582,plain,(xuntil6(s20)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.77 tff(1583,plain,
% 8.28/5.77 (((~![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))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1584,plain,
% 8.28/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s20, s21)) | (~xuntil6(s20)) | until5(s21))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1585,plain,
% 8.28/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s20, s21)) | (~xuntil6(s20)) | until5(s21)),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1584, 1583])).
% 8.28/5.77 tff(1586,plain,
% 8.28/5.77 ((~xuntil6(s20)) | until5(s21)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1585, 1472, 141])).
% 8.28/5.77 tff(1587,plain,
% 8.28/5.77 (until5(s21)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1586, 1582])).
% 8.28/5.77 tff(1588,assumption,(~xuntil6(s23)), introduced(assumption)).
% 8.28/5.77 tff(1589,assumption,(~always3(s23)), introduced(assumption)).
% 8.28/5.77 tff(1590,plain,
% 8.28/5.77 (succ(s22, s23) <=> succ(s22, s23)),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1591,axiom,(succ(s22, s23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound23')).
% 8.28/5.77 tff(1592,plain,
% 8.28/5.77 (succ(s22, s23)),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1591, 1590])).
% 8.28/5.77 tff(1593,plain,
% 8.28/5.77 (((~![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))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1594,plain,
% 8.28/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s22, s23)) | trans(s22, s23))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1595,plain,
% 8.28/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s22, s23)) | trans(s22, s23)),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1594, 1593])).
% 8.28/5.77 tff(1596,plain,
% 8.28/5.77 (trans(s22, s23)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1595, 1592, 51])).
% 8.28/5.77 tff(1597,plain,
% 8.28/5.77 (((~![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))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1598,plain,
% 8.28/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s22, s23)) | (~always3(s22)) | always3(s23))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1599,plain,
% 8.28/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s22, s23)) | (~always3(s22)) | always3(s23)),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1598, 1597])).
% 8.28/5.77 tff(1600,plain,
% 8.28/5.77 ((~always3(s22)) | always3(s23)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1599, 68, 1596])).
% 8.28/5.77 tff(1601,plain,
% 8.28/5.77 (~always3(s22)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1600, 1589])).
% 8.28/5.77 tff(1602,plain,
% 8.28/5.77 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s22) | (~node4(s22)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s22) | (~node4(s22)))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1603,plain,
% 8.28/5.77 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s22) | (~node4(s22)))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1604,plain,
% 8.28/5.77 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s22) | (~node4(s22))),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1603, 1602])).
% 8.28/5.77 tff(1605,plain,
% 8.28/5.77 (~node4(s22)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1604, 22, 1601])).
% 8.28/5.77 tff(1606,plain,
% 8.28/5.77 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s23) | (~node4(s23)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s23) | (~node4(s23)))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1607,plain,
% 8.28/5.77 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s23) | (~node4(s23)))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1608,plain,
% 8.28/5.77 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s23) | (~node4(s23))),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1607, 1606])).
% 8.28/5.77 tff(1609,plain,
% 8.28/5.77 (~node4(s23)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1608, 22, 1589])).
% 8.28/5.77 tff(1610,plain,
% 8.28/5.77 (((~![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)))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1611,plain,
% 8.28/5.77 ((node4(s23) | (~until5(s23)) | xuntil6(s23)) <=> (xuntil6(s23) | node4(s23) | (~until5(s23)))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1612,plain,
% 8.28/5.77 (((~![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))))),
% 8.28/5.77 inference(monotonicity,[status(thm)],[1611])).
% 8.28/5.77 tff(1613,plain,
% 8.28/5.77 (((~![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)))),
% 8.28/5.77 inference(transitivity,[status(thm)],[1612, 1610])).
% 8.28/5.77 tff(1614,plain,
% 8.28/5.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s23) | (~until5(s23)) | xuntil6(s23))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1615,plain,
% 8.28/5.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s23) | node4(s23) | (~until5(s23))),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1614, 1613])).
% 8.28/5.77 tff(1616,plain,
% 8.28/5.77 (node4(s23) | (~until5(s23))),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1615, 36, 1588])).
% 8.28/5.77 tff(1617,plain,
% 8.28/5.77 (~until5(s23)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1616, 1609])).
% 8.28/5.77 tff(1618,plain,
% 8.28/5.77 (((~![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))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1619,plain,
% 8.28/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s22, s23)) | (~xuntil6(s22)) | until5(s23))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1620,plain,
% 8.28/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s22, s23)) | (~xuntil6(s22)) | until5(s23)),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1619, 1618])).
% 8.28/5.77 tff(1621,plain,
% 8.28/5.77 ((~xuntil6(s22)) | until5(s23)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1620, 1592, 141])).
% 8.28/5.77 tff(1622,plain,
% 8.28/5.77 (~xuntil6(s22)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1621, 1617])).
% 8.28/5.77 tff(1623,plain,
% 8.28/5.77 (((~![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)))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1624,plain,
% 8.28/5.77 ((node4(s22) | (~until5(s22)) | xuntil6(s22)) <=> (xuntil6(s22) | node4(s22) | (~until5(s22)))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1625,plain,
% 8.28/5.77 (((~![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))))),
% 8.28/5.77 inference(monotonicity,[status(thm)],[1624])).
% 8.28/5.77 tff(1626,plain,
% 8.28/5.77 (((~![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)))),
% 8.28/5.77 inference(transitivity,[status(thm)],[1625, 1623])).
% 8.28/5.77 tff(1627,plain,
% 8.28/5.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s22) | (~until5(s22)) | xuntil6(s22))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1628,plain,
% 8.28/5.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s22) | node4(s22) | (~until5(s22))),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1627, 1626])).
% 8.28/5.77 tff(1629,plain,
% 8.28/5.77 (~until5(s22)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1628, 36, 1622, 1605])).
% 8.28/5.77 tff(1630,plain,
% 8.28/5.77 (succ(s21, s22) <=> succ(s21, s22)),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1631,axiom,(succ(s21, s22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound22')).
% 8.28/5.77 tff(1632,plain,
% 8.28/5.77 (succ(s21, s22)),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1631, 1630])).
% 8.28/5.77 tff(1633,plain,
% 8.28/5.77 (((~![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))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1634,plain,
% 8.28/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s21, s22)) | (~xuntil6(s21)) | until5(s22))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1635,plain,
% 8.28/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s21, s22)) | (~xuntil6(s21)) | until5(s22)),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1634, 1633])).
% 8.28/5.77 tff(1636,plain,
% 8.28/5.77 ((~xuntil6(s21)) | until5(s22)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1635, 1632, 141])).
% 8.28/5.77 tff(1637,plain,
% 8.28/5.77 (~xuntil6(s21)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1636, 1629])).
% 8.28/5.77 tff(1638,plain,
% 8.28/5.77 (((~![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))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1639,plain,
% 8.28/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s21, s22)) | trans(s21, s22))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1640,plain,
% 8.28/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s21, s22)) | trans(s21, s22)),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1639, 1638])).
% 8.28/5.77 tff(1641,plain,
% 8.28/5.77 (trans(s21, s22)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1640, 1632, 51])).
% 8.28/5.77 tff(1642,plain,
% 8.28/5.77 (((~![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))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1643,plain,
% 8.28/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s21, s22)) | (~always3(s21)) | always3(s22))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1644,plain,
% 8.28/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s21, s22)) | (~always3(s21)) | always3(s22)),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1643, 1642])).
% 8.28/5.77 tff(1645,plain,
% 8.28/5.77 ((~always3(s21)) | always3(s22)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1644, 68, 1641])).
% 8.28/5.77 tff(1646,plain,
% 8.28/5.77 (~always3(s21)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1645, 1601])).
% 8.28/5.77 tff(1647,plain,
% 8.28/5.77 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s21) | (~node4(s21)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s21) | (~node4(s21)))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1648,plain,
% 8.28/5.77 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s21) | (~node4(s21)))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1649,plain,
% 8.28/5.77 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s21) | (~node4(s21))),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1648, 1647])).
% 8.28/5.77 tff(1650,plain,
% 8.28/5.77 (~node4(s21)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1649, 22, 1646])).
% 8.28/5.77 tff(1651,plain,
% 8.28/5.77 (((~![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)))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1652,plain,
% 8.28/5.77 ((node4(s21) | (~until5(s21)) | xuntil6(s21)) <=> (xuntil6(s21) | node4(s21) | (~until5(s21)))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1653,plain,
% 8.28/5.77 (((~![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))))),
% 8.28/5.77 inference(monotonicity,[status(thm)],[1652])).
% 8.28/5.77 tff(1654,plain,
% 8.28/5.77 (((~![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)))),
% 8.28/5.77 inference(transitivity,[status(thm)],[1653, 1651])).
% 8.28/5.77 tff(1655,plain,
% 8.28/5.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s21) | (~until5(s21)) | xuntil6(s21))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1656,plain,
% 8.28/5.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s21) | node4(s21) | (~until5(s21))),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1655, 1654])).
% 8.28/5.77 tff(1657,plain,
% 8.28/5.77 (xuntil6(s21) | (~until5(s21))),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1656, 36, 1650])).
% 8.28/5.77 tff(1658,plain,
% 8.28/5.77 (~until5(s21)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1657, 1637])).
% 8.28/5.77 tff(1659,plain,
% 8.28/5.77 (~xuntil6(s20)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1586, 1658])).
% 8.28/5.77 tff(1660,plain,
% 8.28/5.77 (~always3(s20)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1480, 1646])).
% 8.28/5.77 tff(1661,plain,
% 8.28/5.77 (~node4(s20)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1386, 22, 1660])).
% 8.28/5.77 tff(1662,plain,
% 8.28/5.77 (xuntil6(s20) | (~until5(s20))),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1393, 36, 1661])).
% 8.28/5.77 tff(1663,plain,
% 8.28/5.77 (~until5(s20)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1662, 1659])).
% 8.28/5.77 tff(1664,plain,
% 8.28/5.77 (~xuntil6(s19)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1399, 1663])).
% 8.28/5.77 tff(1665,plain,
% 8.28/5.77 (~always3(s19)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1363, 1660])).
% 8.28/5.77 tff(1666,plain,
% 8.28/5.77 (~node4(s19)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1382, 22, 1665])).
% 8.28/5.77 tff(1667,plain,
% 8.28/5.77 (xuntil6(s19) | (~until5(s19))),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1406, 36, 1666])).
% 8.28/5.77 tff(1668,plain,
% 8.28/5.77 (~until5(s19)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1667, 1664])).
% 8.28/5.77 tff(1669,plain,
% 8.28/5.77 (~xuntil6(s18)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1411, 1668])).
% 8.28/5.77 tff(1670,plain,
% 8.28/5.77 (~always3(s18)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1375, 1665])).
% 8.28/5.77 tff(1671,plain,
% 8.28/5.77 (~node4(s18)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1415, 22, 1670])).
% 8.28/5.77 tff(1672,plain,
% 8.28/5.77 (xuntil6(s18) | (~until5(s18))),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1422, 36, 1671])).
% 8.28/5.77 tff(1673,plain,
% 8.28/5.77 (~until5(s18)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1672, 1669])).
% 8.28/5.77 tff(1674,plain,
% 8.28/5.77 (~xuntil6(s17)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1349, 1673])).
% 8.28/5.77 tff(1675,plain,
% 8.28/5.77 (~always3(s17)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1283, 1670])).
% 8.28/5.77 tff(1676,plain,
% 8.28/5.77 (~node4(s17)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1214, 22, 1675])).
% 8.28/5.77 tff(1677,plain,
% 8.28/5.77 (xuntil6(s17) | (~until5(s17))),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1221, 36, 1676])).
% 8.28/5.77 tff(1678,plain,
% 8.28/5.77 (~until5(s17)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1677, 1674])).
% 8.28/5.77 tff(1679,plain,
% 8.28/5.77 (~always3(s16)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1205, 1675])).
% 8.28/5.77 tff(1680,plain,
% 8.28/5.77 (~always3(s15)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1125, 1679])).
% 8.28/5.77 tff(1681,plain,
% 8.28/5.77 (~always3(s14)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1015, 1680])).
% 8.28/5.77 tff(1682,plain,
% 8.28/5.77 (~always3(s13)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[966, 1681])).
% 8.28/5.77 tff(1683,plain,
% 8.28/5.77 (~always3(s12)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[826, 1682])).
% 8.28/5.77 tff(1684,plain,
% 8.28/5.77 (~always3(s11)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[761, 1683])).
% 8.28/5.77 tff(1685,plain,
% 8.28/5.77 (~always3(s10)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[788, 1684])).
% 8.28/5.77 tff(1686,plain,
% 8.28/5.77 (~always3(s9)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[425, 1685])).
% 8.28/5.77 tff(1687,plain,
% 8.28/5.77 (~node4(s9)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[25, 22, 1686])).
% 8.28/5.77 tff(1688,plain,
% 8.28/5.77 (~always3(s8)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[72, 1686])).
% 8.28/5.77 tff(1689,plain,
% 8.28/5.77 (~node4(s8)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[76, 22, 1688])).
% 8.28/5.77 tff(1690,plain,
% 8.28/5.77 (~always3(s7)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[88, 1688])).
% 8.28/5.77 tff(1691,plain,
% 8.28/5.77 (xuntil6(s7)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[386, 1690])).
% 8.28/5.77 tff(1692,plain,
% 8.28/5.77 (until5(s8)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[391, 1691])).
% 8.28/5.77 tff(1693,plain,
% 8.28/5.77 (xuntil6(s8) | node4(s8)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[398, 36, 1692])).
% 8.28/5.77 tff(1694,plain,
% 8.28/5.77 (xuntil6(s8)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1693, 1689])).
% 8.28/5.77 tff(1695,plain,
% 8.28/5.77 (until5(s9)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[404, 1694])).
% 8.28/5.77 tff(1696,plain,
% 8.28/5.77 (xuntil6(s9)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[42, 36, 1695, 1687])).
% 8.28/5.77 tff(1697,plain,
% 8.28/5.77 (until5(s10)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[733, 1696])).
% 8.28/5.77 tff(1698,plain,
% 8.28/5.77 (xuntil6(s12)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[814, 1697, 1683])).
% 8.28/5.77 tff(1699,plain,
% 8.28/5.77 (until5(s13)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[921, 1698])).
% 8.28/5.77 tff(1700,plain,
% 8.28/5.77 (~node4(s13)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[932, 22, 1682])).
% 8.28/5.77 tff(1701,plain,
% 8.28/5.77 (xuntil6(s13) | (~until5(s13))),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[939, 36, 1700])).
% 8.28/5.77 tff(1702,plain,
% 8.28/5.77 (xuntil6(s13)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1701, 1699])).
% 8.28/5.77 tff(1703,plain,
% 8.28/5.77 (until5(s14)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1001, 1702])).
% 8.28/5.77 tff(1704,plain,
% 8.28/5.77 (~node4(s14)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1032, 22, 1681])).
% 8.28/5.77 tff(1705,plain,
% 8.28/5.77 (xuntil6(s14) | (~until5(s14))),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1056, 36, 1704])).
% 8.28/5.77 tff(1706,plain,
% 8.28/5.77 (xuntil6(s14)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1705, 1703])).
% 8.28/5.77 tff(1707,plain,
% 8.28/5.77 (until5(s15)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1049, 1706])).
% 8.28/5.77 tff(1708,plain,
% 8.28/5.77 (~node4(s15)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1036, 22, 1680])).
% 8.28/5.77 tff(1709,plain,
% 8.28/5.77 (xuntil6(s15) | (~until5(s15))),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1043, 36, 1708])).
% 8.28/5.77 tff(1710,plain,
% 8.28/5.77 (xuntil6(s15)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1709, 1707])).
% 8.28/5.77 tff(1711,plain,
% 8.28/5.77 (until5(s16)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1191, 1710])).
% 8.28/5.77 tff(1712,plain,
% 8.28/5.77 (~node4(s16)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1210, 22, 1679])).
% 8.28/5.77 tff(1713,plain,
% 8.28/5.77 (xuntil6(s16) | (~until5(s16))),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1234, 36, 1712])).
% 8.28/5.77 tff(1714,plain,
% 8.28/5.77 (xuntil6(s16)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1713, 1711])).
% 8.28/5.77 tff(1715,plain,
% 8.28/5.77 ($false),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1227, 1714, 1678])).
% 8.28/5.77 tff(1716,plain,(always3(s23) | xuntil6(s23)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.77 tff(1717,plain,
% 8.28/5.77 (always3(s23)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1716, 1588])).
% 8.28/5.77 tff(1718,plain,
% 8.28/5.77 (succ(s23, s24) <=> succ(s23, s24)),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1719,axiom,(succ(s23, s24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound24')).
% 8.28/5.77 tff(1720,plain,
% 8.28/5.77 (succ(s23, s24)),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1719, 1718])).
% 8.28/5.77 tff(1721,plain,
% 8.28/5.77 (((~![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))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1722,plain,
% 8.28/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s23, s24)) | trans(s23, s24))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1723,plain,
% 8.28/5.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s23, s24)) | trans(s23, s24)),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1722, 1721])).
% 8.28/5.77 tff(1724,plain,
% 8.28/5.77 (trans(s23, s24)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1723, 1720, 51])).
% 8.28/5.77 tff(1725,plain,
% 8.28/5.77 (((~![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))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1726,plain,
% 8.28/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s23, s24)) | (~always3(s23)) | always3(s24))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1727,plain,
% 8.28/5.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s23, s24)) | (~always3(s23)) | always3(s24)),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1726, 1725])).
% 8.28/5.77 tff(1728,plain,
% 8.28/5.77 ((~always3(s23)) | always3(s24)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1727, 68, 1724])).
% 8.28/5.77 tff(1729,plain,
% 8.28/5.77 (always3(s24)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1728, 1717])).
% 8.28/5.77 tff(1730,plain,
% 8.28/5.77 (((~![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)))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1731,plain,
% 8.28/5.77 (((~m_main_v_state(s24, c_busy)) | (~always3(s24))) <=> ((~always3(s24)) | (~m_main_v_state(s24, c_busy)))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1732,plain,
% 8.28/5.77 (((~![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))))),
% 8.28/5.77 inference(monotonicity,[status(thm)],[1731])).
% 8.28/5.77 tff(1733,plain,
% 8.28/5.77 (((~![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)))),
% 8.28/5.77 inference(transitivity,[status(thm)],[1732, 1730])).
% 8.28/5.77 tff(1734,plain,
% 8.28/5.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s24, c_busy)) | (~always3(s24)))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1735,plain,
% 8.28/5.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s24)) | (~m_main_v_state(s24, c_busy))),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1734, 1733])).
% 8.28/5.77 tff(1736,plain,
% 8.28/5.77 (~m_main_v_state(s24, c_busy)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1735, 170, 1729])).
% 8.28/5.77 tff(1737,plain,
% 8.28/5.77 (((~![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)))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1738,plain,
% 8.28/5.77 (((~m_main_v_state(s23, c_busy)) | (~always3(s23))) <=> ((~always3(s23)) | (~m_main_v_state(s23, c_busy)))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1739,plain,
% 8.28/5.77 (((~![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))))),
% 8.28/5.77 inference(monotonicity,[status(thm)],[1738])).
% 8.28/5.77 tff(1740,plain,
% 8.28/5.77 (((~![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)))),
% 8.28/5.77 inference(transitivity,[status(thm)],[1739, 1737])).
% 8.28/5.77 tff(1741,plain,
% 8.28/5.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s23, c_busy)) | (~always3(s23)))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1742,plain,
% 8.28/5.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s23)) | (~m_main_v_state(s23, c_busy))),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1741, 1740])).
% 8.28/5.77 tff(1743,plain,
% 8.28/5.77 (~m_main_v_state(s23, c_busy)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1742, 170, 1717])).
% 8.28/5.77 tff(1744,plain,
% 8.28/5.77 (((~![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))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1745,plain,
% 8.28/5.77 ((~![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))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1746,plain,
% 8.28/5.77 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s23, c_busy) | m_main_v_state(s23, c_ready)),
% 8.28/5.77 inference(modus_ponens,[status(thm)],[1745, 1744])).
% 8.28/5.77 tff(1747,plain,
% 8.28/5.77 (m_main_v_state(s23, c_ready)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1746, 213, 1743])).
% 8.28/5.77 tff(1748,assumption,(until5(s21)), introduced(assumption)).
% 8.28/5.77 tff(1749,assumption,(~xuntil6(s22)), introduced(assumption)).
% 8.28/5.77 tff(1750,assumption,(~always3(s22)), introduced(assumption)).
% 8.28/5.77 tff(1751,plain,
% 8.28/5.77 (~always3(s21)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1645, 1750])).
% 8.28/5.77 tff(1752,plain,
% 8.28/5.77 (~node4(s21)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1649, 22, 1751])).
% 8.28/5.77 tff(1753,plain,
% 8.28/5.77 (xuntil6(s21) | node4(s21)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1656, 36, 1748])).
% 8.28/5.77 tff(1754,plain,
% 8.28/5.77 (xuntil6(s21)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1753, 1752])).
% 8.28/5.77 tff(1755,plain,
% 8.28/5.77 (until5(s22)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1636, 1754])).
% 8.28/5.77 tff(1756,plain,
% 8.28/5.77 (node4(s22) | (~until5(s22))),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1628, 36, 1749])).
% 8.28/5.77 tff(1757,plain,
% 8.28/5.77 (node4(s22)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1756, 1755])).
% 8.28/5.77 tff(1758,plain,
% 8.28/5.77 ($false),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1604, 22, 1750, 1757])).
% 8.28/5.77 tff(1759,plain,(always3(s22) | xuntil6(s22) | (~until5(s21))), inference(lemma,lemma(discharge,[]))).
% 8.28/5.77 tff(1760,plain,
% 8.28/5.77 (always3(s22)),
% 8.28/5.77 inference(unit_resolution,[status(thm)],[1759, 1748, 1749])).
% 8.28/5.77 tff(1761,plain,
% 8.28/5.77 (((~![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)))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1762,plain,
% 8.28/5.77 (((~m_main_v_state(s22, c_busy)) | (~always3(s22))) <=> ((~always3(s22)) | (~m_main_v_state(s22, c_busy)))),
% 8.28/5.77 inference(rewrite,[status(thm)],[])).
% 8.28/5.77 tff(1763,plain,
% 8.28/5.77 (((~![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))))),
% 8.28/5.77 inference(monotonicity,[status(thm)],[1762])).
% 8.28/5.77 tff(1764,plain,
% 8.28/5.77 (((~![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)))),
% 8.28/5.77 inference(transitivity,[status(thm)],[1763, 1761])).
% 8.28/5.77 tff(1765,plain,
% 8.28/5.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s22, c_busy)) | (~always3(s22)))),
% 8.28/5.77 inference(quant_inst,[status(thm)],[])).
% 8.28/5.77 tff(1766,plain,
% 8.28/5.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s22)) | (~m_main_v_state(s22, c_busy))),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1765, 1764])).
% 8.28/5.78 tff(1767,plain,
% 8.28/5.78 (~m_main_v_state(s22, c_busy)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1766, 170, 1760])).
% 8.28/5.78 tff(1768,assumption,(~m_main_v_state(s23, c_busy)), introduced(assumption)).
% 8.28/5.78 tff(1769,plain,
% 8.28/5.78 (((~![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))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1770,plain,
% 8.28/5.78 ((~![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))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1771,plain,
% 8.28/5.78 ((~![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)),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1770, 1769])).
% 8.28/5.78 tff(1772,plain,
% 8.28/5.78 (m_main_v_state(s22, c_ready)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1771, 213, 1767])).
% 8.28/5.78 tff(1773,plain,
% 8.28/5.78 (((~![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))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1774,plain,
% 8.28/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s22, s23)) | node2(s22, s23))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1775,plain,
% 8.28/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s22, s23)) | node2(s22, s23)),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1774, 1773])).
% 8.28/5.78 tff(1776,plain,
% 8.28/5.78 (node2(s22, s23)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1775, 7, 1596])).
% 8.28/5.78 tff(1777,plain,
% 8.28/5.78 (((~![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(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)))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1778,plain,
% 8.28/5.78 ((~![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(s22, c_ready)) | (~node2(s22, s23)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s22)))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1779,plain,
% 8.28/5.78 ((~![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(s22, c_ready)) | (~node2(s22, s23)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s22))),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1778, 1777])).
% 8.28/5.78 tff(1780,plain,
% 8.28/5.78 ((~m_main_v_state(s22, c_ready)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s22))),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1779, 191, 1776])).
% 8.28/5.78 tff(1781,plain,
% 8.28/5.78 (~m_main_v_request(s22)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1780, 1772, 1768])).
% 8.28/5.78 tff(1782,plain,
% 8.28/5.78 (((~![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)))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1783,plain,
% 8.28/5.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s22) | (~node4(s22)))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1784,plain,
% 8.28/5.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s22) | (~node4(s22))),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1783, 1782])).
% 8.28/5.78 tff(1785,plain,
% 8.28/5.78 (~node4(s22)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1784, 154, 1781])).
% 8.28/5.78 tff(1786,plain,
% 8.28/5.78 (~until5(s22)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1756, 1785])).
% 8.28/5.78 tff(1787,plain,
% 8.28/5.78 (~xuntil6(s21)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1636, 1786])).
% 8.28/5.78 tff(1788,plain,
% 8.28/5.78 (node4(s21)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1753, 1787])).
% 8.28/5.78 tff(1789,plain,
% 8.28/5.78 (((~![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)))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1790,plain,
% 8.28/5.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s21) | (~node4(s21)))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1791,plain,
% 8.28/5.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s21) | (~node4(s21))),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1790, 1789])).
% 8.28/5.78 tff(1792,plain,
% 8.28/5.78 (m_main_v_request(s21)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1791, 154, 1788])).
% 8.28/5.78 tff(1793,plain,
% 8.28/5.78 (((~![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))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1794,plain,
% 8.28/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s21, s22)) | node2(s21, s22))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1795,plain,
% 8.28/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s21, s22)) | node2(s21, s22)),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1794, 1793])).
% 8.28/5.78 tff(1796,plain,
% 8.28/5.78 (node2(s21, s22)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1795, 7, 1641])).
% 8.28/5.78 tff(1797,plain,
% 8.28/5.78 (((~![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(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)))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1798,plain,
% 8.28/5.78 ((~![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(s21, c_ready)) | (~node2(s21, s22)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s21)))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1799,plain,
% 8.28/5.78 ((~![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(s21, c_ready)) | (~node2(s21, s22)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s21))),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1798, 1797])).
% 8.28/5.78 tff(1800,plain,
% 8.28/5.78 ((~m_main_v_state(s21, c_ready)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s21))),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1799, 191, 1796])).
% 8.28/5.78 tff(1801,plain,
% 8.28/5.78 (~m_main_v_state(s21, c_ready)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1800, 1792, 1767])).
% 8.28/5.78 tff(1802,plain,
% 8.28/5.78 (always3(s21)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1649, 22, 1788])).
% 8.28/5.78 tff(1803,plain,
% 8.28/5.78 (~m_main_v_state(s21, c_busy)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1487, 170, 1802])).
% 8.28/5.78 tff(1804,plain,
% 8.28/5.78 (((~![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))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1805,plain,
% 8.28/5.78 ((~![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))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1806,plain,
% 8.28/5.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s21, c_busy) | m_main_v_state(s21, c_ready)),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1805, 1804])).
% 8.28/5.78 tff(1807,plain,
% 8.28/5.78 ($false),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1806, 213, 1803, 1801])).
% 8.28/5.78 tff(1808,plain,((~until5(s21)) | xuntil6(s22) | m_main_v_state(s23, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.78 tff(1809,plain,
% 8.28/5.78 (xuntil6(s22)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1808, 1743, 1748])).
% 8.28/5.78 tff(1810,plain,
% 8.28/5.78 (until5(s23)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1621, 1809])).
% 8.28/5.78 tff(1811,plain,
% 8.28/5.78 (node4(s23)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1616, 1810])).
% 8.28/5.78 tff(1812,plain,
% 8.28/5.78 (((~![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)))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1813,plain,
% 8.28/5.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s23) | (~node4(s23)))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1814,plain,
% 8.28/5.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s23) | (~node4(s23))),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1813, 1812])).
% 8.28/5.78 tff(1815,plain,
% 8.28/5.78 (m_main_v_request(s23)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1814, 154, 1811])).
% 8.28/5.78 tff(1816,plain,
% 8.28/5.78 (((~![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))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1817,plain,
% 8.28/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s23, s24)) | node2(s23, s24))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1818,plain,
% 8.28/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s23, s24)) | node2(s23, s24)),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1817, 1816])).
% 8.28/5.78 tff(1819,plain,
% 8.28/5.78 (node2(s23, s24)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1818, 7, 1724])).
% 8.28/5.78 tff(1820,plain,
% 8.28/5.78 (((~![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(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)))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1821,plain,
% 8.28/5.78 ((~![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(s23, c_ready)) | (~node2(s23, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s23)))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1822,plain,
% 8.28/5.78 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s23, c_ready)) | (~node2(s23, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s23))),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1821, 1820])).
% 8.28/5.78 tff(1823,plain,
% 8.28/5.78 ((~m_main_v_state(s23, c_ready)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s23))),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1822, 191, 1819])).
% 8.28/5.78 tff(1824,plain,
% 8.28/5.78 ($false),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1823, 1815, 1747, 1736])).
% 8.28/5.78 tff(1825,plain,(xuntil6(s23) | (~until5(s21))), inference(lemma,lemma(discharge,[]))).
% 8.28/5.78 tff(1826,plain,
% 8.28/5.78 (xuntil6(s23)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1825, 1587])).
% 8.28/5.78 tff(1827,plain,
% 8.28/5.78 (((~![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))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1828,plain,
% 8.28/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s23, s24)) | (~xuntil6(s23)) | until5(s24))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1829,plain,
% 8.28/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s23, s24)) | (~xuntil6(s23)) | until5(s24)),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1828, 1827])).
% 8.28/5.78 tff(1830,plain,
% 8.28/5.78 ((~xuntil6(s23)) | until5(s24)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1829, 1720, 141])).
% 8.28/5.78 tff(1831,plain,
% 8.28/5.78 (until5(s24)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1830, 1826])).
% 8.28/5.78 tff(1832,assumption,(~xuntil6(s25)), introduced(assumption)).
% 8.28/5.78 tff(1833,assumption,(~always3(s25)), introduced(assumption)).
% 8.28/5.78 tff(1834,plain,
% 8.28/5.78 (succ(s24, s25) <=> succ(s24, s25)),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1835,axiom,(succ(s24, s25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound25')).
% 8.28/5.78 tff(1836,plain,
% 8.28/5.78 (succ(s24, s25)),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1835, 1834])).
% 8.28/5.78 tff(1837,plain,
% 8.28/5.78 (((~![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))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1838,plain,
% 8.28/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s24, s25)) | trans(s24, s25))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1839,plain,
% 8.28/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s24, s25)) | trans(s24, s25)),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1838, 1837])).
% 8.28/5.78 tff(1840,plain,
% 8.28/5.78 (trans(s24, s25)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1839, 1836, 51])).
% 8.28/5.78 tff(1841,plain,
% 8.28/5.78 (((~![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))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1842,plain,
% 8.28/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s24, s25)) | (~always3(s24)) | always3(s25))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1843,plain,
% 8.28/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s24, s25)) | (~always3(s24)) | always3(s25)),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1842, 1841])).
% 8.28/5.78 tff(1844,plain,
% 8.28/5.78 ((~always3(s24)) | always3(s25)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1843, 68, 1840])).
% 8.28/5.78 tff(1845,plain,
% 8.28/5.78 (~always3(s24)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1844, 1833])).
% 8.28/5.78 tff(1846,plain,
% 8.28/5.78 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s24) | (~node4(s24)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s24) | (~node4(s24)))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1847,plain,
% 8.28/5.78 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s24) | (~node4(s24)))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1848,plain,
% 8.28/5.78 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s24) | (~node4(s24))),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1847, 1846])).
% 8.28/5.78 tff(1849,plain,
% 8.28/5.78 (~node4(s24)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1848, 22, 1845])).
% 8.28/5.78 tff(1850,plain,
% 8.28/5.78 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s25) | (~node4(s25)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s25) | (~node4(s25)))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1851,plain,
% 8.28/5.78 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s25) | (~node4(s25)))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1852,plain,
% 8.28/5.78 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s25) | (~node4(s25))),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1851, 1850])).
% 8.28/5.78 tff(1853,plain,
% 8.28/5.78 (~node4(s25)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1852, 22, 1833])).
% 8.28/5.78 tff(1854,plain,
% 8.28/5.78 (((~![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)))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1855,plain,
% 8.28/5.78 ((node4(s25) | (~until5(s25)) | xuntil6(s25)) <=> (xuntil6(s25) | node4(s25) | (~until5(s25)))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1856,plain,
% 8.28/5.78 (((~![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))))),
% 8.28/5.78 inference(monotonicity,[status(thm)],[1855])).
% 8.28/5.78 tff(1857,plain,
% 8.28/5.78 (((~![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)))),
% 8.28/5.78 inference(transitivity,[status(thm)],[1856, 1854])).
% 8.28/5.78 tff(1858,plain,
% 8.28/5.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s25) | (~until5(s25)) | xuntil6(s25))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1859,plain,
% 8.28/5.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s25) | node4(s25) | (~until5(s25))),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1858, 1857])).
% 8.28/5.78 tff(1860,plain,
% 8.28/5.78 (node4(s25) | (~until5(s25))),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1859, 36, 1832])).
% 8.28/5.78 tff(1861,plain,
% 8.28/5.78 (~until5(s25)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1860, 1853])).
% 8.28/5.78 tff(1862,plain,
% 8.28/5.78 (((~![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))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1863,plain,
% 8.28/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s24, s25)) | (~xuntil6(s24)) | until5(s25))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1864,plain,
% 8.28/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s24, s25)) | (~xuntil6(s24)) | until5(s25)),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1863, 1862])).
% 8.28/5.78 tff(1865,plain,
% 8.28/5.78 ((~xuntil6(s24)) | until5(s25)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1864, 1836, 141])).
% 8.28/5.78 tff(1866,plain,
% 8.28/5.78 (~xuntil6(s24)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1865, 1861])).
% 8.28/5.78 tff(1867,plain,
% 8.28/5.78 (((~![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)))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1868,plain,
% 8.28/5.78 ((node4(s24) | (~until5(s24)) | xuntil6(s24)) <=> (xuntil6(s24) | node4(s24) | (~until5(s24)))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1869,plain,
% 8.28/5.78 (((~![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))))),
% 8.28/5.78 inference(monotonicity,[status(thm)],[1868])).
% 8.28/5.78 tff(1870,plain,
% 8.28/5.78 (((~![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)))),
% 8.28/5.78 inference(transitivity,[status(thm)],[1869, 1867])).
% 8.28/5.78 tff(1871,plain,
% 8.28/5.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s24) | (~until5(s24)) | xuntil6(s24))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1872,plain,
% 8.28/5.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s24) | node4(s24) | (~until5(s24))),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1871, 1870])).
% 8.28/5.78 tff(1873,plain,
% 8.28/5.78 (~until5(s24)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1872, 36, 1866, 1849])).
% 8.28/5.78 tff(1874,plain,
% 8.28/5.78 (~xuntil6(s23)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1830, 1873])).
% 8.28/5.78 tff(1875,plain,
% 8.28/5.78 (~always3(s23)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1728, 1845])).
% 8.28/5.78 tff(1876,plain,
% 8.28/5.78 (~node4(s23)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1608, 22, 1875])).
% 8.28/5.78 tff(1877,plain,
% 8.28/5.78 (xuntil6(s23) | (~until5(s23))),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1615, 36, 1876])).
% 8.28/5.78 tff(1878,plain,
% 8.28/5.78 (~until5(s23)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1877, 1874])).
% 8.28/5.78 tff(1879,plain,
% 8.28/5.78 (~xuntil6(s22)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1621, 1878])).
% 8.28/5.78 tff(1880,plain,
% 8.28/5.78 (~always3(s22)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1600, 1875])).
% 8.28/5.78 tff(1881,plain,
% 8.28/5.78 (~node4(s22)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1604, 22, 1880])).
% 8.28/5.78 tff(1882,plain,
% 8.28/5.78 (xuntil6(s22) | (~until5(s22))),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1628, 36, 1881])).
% 8.28/5.78 tff(1883,plain,
% 8.28/5.78 (~until5(s22)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1882, 1879])).
% 8.28/5.78 tff(1884,plain,
% 8.28/5.78 (~xuntil6(s21)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1636, 1883])).
% 8.28/5.78 tff(1885,plain,
% 8.28/5.78 (~always3(s21)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1645, 1880])).
% 8.28/5.78 tff(1886,plain,
% 8.28/5.78 (~node4(s21)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1649, 22, 1885])).
% 8.28/5.78 tff(1887,plain,
% 8.28/5.78 (xuntil6(s21) | (~until5(s21))),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1656, 36, 1886])).
% 8.28/5.78 tff(1888,plain,
% 8.28/5.78 (~until5(s21)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1887, 1884])).
% 8.28/5.78 tff(1889,plain,
% 8.28/5.78 (~xuntil6(s20)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1586, 1888])).
% 8.28/5.78 tff(1890,plain,
% 8.28/5.78 (~always3(s20)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1480, 1885])).
% 8.28/5.78 tff(1891,plain,
% 8.28/5.78 (~node4(s20)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1386, 22, 1890])).
% 8.28/5.78 tff(1892,plain,
% 8.28/5.78 (xuntil6(s20) | (~until5(s20))),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1393, 36, 1891])).
% 8.28/5.78 tff(1893,plain,
% 8.28/5.78 (~until5(s20)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1892, 1889])).
% 8.28/5.78 tff(1894,plain,
% 8.28/5.78 (~xuntil6(s19)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1399, 1893])).
% 8.28/5.78 tff(1895,plain,
% 8.28/5.78 (~always3(s19)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1363, 1890])).
% 8.28/5.78 tff(1896,plain,
% 8.28/5.78 (~node4(s19)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1382, 22, 1895])).
% 8.28/5.78 tff(1897,plain,
% 8.28/5.78 (xuntil6(s19) | (~until5(s19))),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1406, 36, 1896])).
% 8.28/5.78 tff(1898,plain,
% 8.28/5.78 (~until5(s19)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1897, 1894])).
% 8.28/5.78 tff(1899,plain,
% 8.28/5.78 (~xuntil6(s18)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1411, 1898])).
% 8.28/5.78 tff(1900,plain,
% 8.28/5.78 (~always3(s18)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1375, 1895])).
% 8.28/5.78 tff(1901,plain,
% 8.28/5.78 (~node4(s18)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1415, 22, 1900])).
% 8.28/5.78 tff(1902,plain,
% 8.28/5.78 (xuntil6(s18) | (~until5(s18))),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1422, 36, 1901])).
% 8.28/5.78 tff(1903,plain,
% 8.28/5.78 (~until5(s18)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1902, 1899])).
% 8.28/5.78 tff(1904,plain,
% 8.28/5.78 (~always3(s17)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1283, 1900])).
% 8.28/5.78 tff(1905,plain,
% 8.28/5.78 (~always3(s16)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1205, 1904])).
% 8.28/5.78 tff(1906,plain,
% 8.28/5.78 (~always3(s15)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1125, 1905])).
% 8.28/5.78 tff(1907,plain,
% 8.28/5.78 (~always3(s14)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1015, 1906])).
% 8.28/5.78 tff(1908,plain,
% 8.28/5.78 (~always3(s13)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[966, 1907])).
% 8.28/5.78 tff(1909,plain,
% 8.28/5.78 (~always3(s12)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[826, 1908])).
% 8.28/5.78 tff(1910,plain,
% 8.28/5.78 (~always3(s11)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[761, 1909])).
% 8.28/5.78 tff(1911,plain,
% 8.28/5.78 (~always3(s10)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[788, 1910])).
% 8.28/5.78 tff(1912,plain,
% 8.28/5.78 (~always3(s9)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[425, 1911])).
% 8.28/5.78 tff(1913,plain,
% 8.28/5.78 (~node4(s9)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[25, 22, 1912])).
% 8.28/5.78 tff(1914,plain,
% 8.28/5.78 (~always3(s8)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[72, 1912])).
% 8.28/5.78 tff(1915,plain,
% 8.28/5.78 (~node4(s8)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[76, 22, 1914])).
% 8.28/5.78 tff(1916,plain,
% 8.28/5.78 (~always3(s7)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[88, 1914])).
% 8.28/5.78 tff(1917,plain,
% 8.28/5.78 (xuntil6(s7)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[386, 1916])).
% 8.28/5.78 tff(1918,plain,
% 8.28/5.78 (until5(s8)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[391, 1917])).
% 8.28/5.78 tff(1919,plain,
% 8.28/5.78 (xuntil6(s8) | node4(s8)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[398, 36, 1918])).
% 8.28/5.78 tff(1920,plain,
% 8.28/5.78 (xuntil6(s8)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1919, 1915])).
% 8.28/5.78 tff(1921,plain,
% 8.28/5.78 (until5(s9)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[404, 1920])).
% 8.28/5.78 tff(1922,plain,
% 8.28/5.78 (xuntil6(s9)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[42, 36, 1921, 1913])).
% 8.28/5.78 tff(1923,plain,
% 8.28/5.78 (until5(s10)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[733, 1922])).
% 8.28/5.78 tff(1924,plain,
% 8.28/5.78 (xuntil6(s12)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[814, 1923, 1909])).
% 8.28/5.78 tff(1925,plain,
% 8.28/5.78 (until5(s13)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[921, 1924])).
% 8.28/5.78 tff(1926,plain,
% 8.28/5.78 (~node4(s13)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[932, 22, 1908])).
% 8.28/5.78 tff(1927,plain,
% 8.28/5.78 (xuntil6(s13) | (~until5(s13))),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[939, 36, 1926])).
% 8.28/5.78 tff(1928,plain,
% 8.28/5.78 (xuntil6(s13)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1927, 1925])).
% 8.28/5.78 tff(1929,plain,
% 8.28/5.78 (until5(s14)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1001, 1928])).
% 8.28/5.78 tff(1930,plain,
% 8.28/5.78 (~node4(s14)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1032, 22, 1907])).
% 8.28/5.78 tff(1931,plain,
% 8.28/5.78 (xuntil6(s14) | (~until5(s14))),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1056, 36, 1930])).
% 8.28/5.78 tff(1932,plain,
% 8.28/5.78 (xuntil6(s14)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1931, 1929])).
% 8.28/5.78 tff(1933,plain,
% 8.28/5.78 (until5(s15)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1049, 1932])).
% 8.28/5.78 tff(1934,plain,
% 8.28/5.78 (~node4(s15)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1036, 22, 1906])).
% 8.28/5.78 tff(1935,plain,
% 8.28/5.78 (xuntil6(s15) | (~until5(s15))),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1043, 36, 1934])).
% 8.28/5.78 tff(1936,plain,
% 8.28/5.78 (xuntil6(s15)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1935, 1933])).
% 8.28/5.78 tff(1937,plain,
% 8.28/5.78 (until5(s16)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1191, 1936])).
% 8.28/5.78 tff(1938,plain,
% 8.28/5.78 (~node4(s16)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1210, 22, 1905])).
% 8.28/5.78 tff(1939,plain,
% 8.28/5.78 (xuntil6(s16) | (~until5(s16))),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1234, 36, 1938])).
% 8.28/5.78 tff(1940,plain,
% 8.28/5.78 (xuntil6(s16)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1939, 1937])).
% 8.28/5.78 tff(1941,plain,
% 8.28/5.78 (until5(s17)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1227, 1940])).
% 8.28/5.78 tff(1942,plain,
% 8.28/5.78 (~node4(s17)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1214, 22, 1904])).
% 8.28/5.78 tff(1943,plain,
% 8.28/5.78 (xuntil6(s17) | (~until5(s17))),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1221, 36, 1942])).
% 8.28/5.78 tff(1944,plain,
% 8.28/5.78 (xuntil6(s17)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1943, 1941])).
% 8.28/5.78 tff(1945,plain,
% 8.28/5.78 ($false),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1349, 1944, 1903])).
% 8.28/5.78 tff(1946,plain,(always3(s25) | xuntil6(s25)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.78 tff(1947,plain,
% 8.28/5.78 (always3(s25)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1946, 1832])).
% 8.28/5.78 tff(1948,plain,
% 8.28/5.78 (succ(s25, s26) <=> succ(s25, s26)),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1949,axiom,(succ(s25, s26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound26')).
% 8.28/5.78 tff(1950,plain,
% 8.28/5.78 (succ(s25, s26)),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1949, 1948])).
% 8.28/5.78 tff(1951,plain,
% 8.28/5.78 (((~![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))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1952,plain,
% 8.28/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s25, s26)) | trans(s25, s26))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1953,plain,
% 8.28/5.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s25, s26)) | trans(s25, s26)),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1952, 1951])).
% 8.28/5.78 tff(1954,plain,
% 8.28/5.78 (trans(s25, s26)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1953, 1950, 51])).
% 8.28/5.78 tff(1955,plain,
% 8.28/5.78 (((~![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))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1956,plain,
% 8.28/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s25, s26)) | (~always3(s25)) | always3(s26))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1957,plain,
% 8.28/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s25, s26)) | (~always3(s25)) | always3(s26)),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1956, 1955])).
% 8.28/5.78 tff(1958,plain,
% 8.28/5.78 ((~always3(s25)) | always3(s26)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1957, 68, 1954])).
% 8.28/5.78 tff(1959,plain,
% 8.28/5.78 (always3(s26)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1958, 1947])).
% 8.28/5.78 tff(1960,plain,
% 8.28/5.78 (((~![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)))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1961,plain,
% 8.28/5.78 (((~m_main_v_state(s26, c_busy)) | (~always3(s26))) <=> ((~always3(s26)) | (~m_main_v_state(s26, c_busy)))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1962,plain,
% 8.28/5.78 (((~![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))))),
% 8.28/5.78 inference(monotonicity,[status(thm)],[1961])).
% 8.28/5.78 tff(1963,plain,
% 8.28/5.78 (((~![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)))),
% 8.28/5.78 inference(transitivity,[status(thm)],[1962, 1960])).
% 8.28/5.78 tff(1964,plain,
% 8.28/5.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s26, c_busy)) | (~always3(s26)))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1965,plain,
% 8.28/5.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s26)) | (~m_main_v_state(s26, c_busy))),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1964, 1963])).
% 8.28/5.78 tff(1966,plain,
% 8.28/5.78 (~m_main_v_state(s26, c_busy)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1965, 170, 1959])).
% 8.28/5.78 tff(1967,plain,
% 8.28/5.78 (((~![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)))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1968,plain,
% 8.28/5.78 (((~m_main_v_state(s25, c_busy)) | (~always3(s25))) <=> ((~always3(s25)) | (~m_main_v_state(s25, c_busy)))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1969,plain,
% 8.28/5.78 (((~![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))))),
% 8.28/5.78 inference(monotonicity,[status(thm)],[1968])).
% 8.28/5.78 tff(1970,plain,
% 8.28/5.78 (((~![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)))),
% 8.28/5.78 inference(transitivity,[status(thm)],[1969, 1967])).
% 8.28/5.78 tff(1971,plain,
% 8.28/5.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s25, c_busy)) | (~always3(s25)))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1972,plain,
% 8.28/5.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s25)) | (~m_main_v_state(s25, c_busy))),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1971, 1970])).
% 8.28/5.78 tff(1973,plain,
% 8.28/5.78 (~m_main_v_state(s25, c_busy)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1972, 170, 1947])).
% 8.28/5.78 tff(1974,plain,
% 8.28/5.78 (((~![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))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1975,plain,
% 8.28/5.78 ((~![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))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1976,plain,
% 8.28/5.78 ((~![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)),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1975, 1974])).
% 8.28/5.78 tff(1977,plain,
% 8.28/5.78 (m_main_v_state(s25, c_ready)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1976, 213, 1973])).
% 8.28/5.78 tff(1978,assumption,(~m_main_v_state(s25, c_busy)), introduced(assumption)).
% 8.28/5.78 tff(1979,assumption,(node4(s24)), introduced(assumption)).
% 8.28/5.78 tff(1980,plain,
% 8.28/5.78 (((~![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)))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1981,plain,
% 8.28/5.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s24) | (~node4(s24)))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1982,plain,
% 8.28/5.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s24) | (~node4(s24))),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1981, 1980])).
% 8.28/5.78 tff(1983,plain,
% 8.28/5.78 (m_main_v_request(s24)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1982, 154, 1979])).
% 8.28/5.78 tff(1984,plain,
% 8.28/5.78 (((~![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))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1985,plain,
% 8.28/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s24, s25)) | node2(s24, s25))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1986,plain,
% 8.28/5.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s24, s25)) | node2(s24, s25)),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1985, 1984])).
% 8.28/5.78 tff(1987,plain,
% 8.28/5.78 (node2(s24, s25)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1986, 7, 1840])).
% 8.28/5.78 tff(1988,plain,
% 8.28/5.78 (((~![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(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)))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1989,plain,
% 8.28/5.78 ((~![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(s24, c_ready)) | (~node2(s24, s25)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s24)))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1990,plain,
% 8.28/5.78 ((~![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(s24, c_ready)) | (~node2(s24, s25)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s24))),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1989, 1988])).
% 8.28/5.78 tff(1991,plain,
% 8.28/5.78 ((~m_main_v_state(s24, c_ready)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s24))),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1990, 191, 1987])).
% 8.28/5.78 tff(1992,plain,
% 8.28/5.78 (~m_main_v_state(s24, c_ready)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1991, 1983, 1978])).
% 8.28/5.78 tff(1993,plain,
% 8.28/5.78 (always3(s24)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1848, 22, 1979])).
% 8.28/5.78 tff(1994,plain,
% 8.28/5.78 (~m_main_v_state(s24, c_busy)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1735, 170, 1993])).
% 8.28/5.78 tff(1995,plain,
% 8.28/5.78 (((~![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))),
% 8.28/5.78 inference(rewrite,[status(thm)],[])).
% 8.28/5.78 tff(1996,plain,
% 8.28/5.78 ((~![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))),
% 8.28/5.78 inference(quant_inst,[status(thm)],[])).
% 8.28/5.78 tff(1997,plain,
% 8.28/5.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s24, c_busy) | m_main_v_state(s24, c_ready)),
% 8.28/5.78 inference(modus_ponens,[status(thm)],[1996, 1995])).
% 8.28/5.78 tff(1998,plain,
% 8.28/5.78 ($false),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1997, 213, 1994, 1992])).
% 8.28/5.78 tff(1999,plain,((~node4(s24)) | m_main_v_state(s25, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.78 tff(2000,plain,
% 8.28/5.78 (~node4(s24)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1999, 1973])).
% 8.28/5.78 tff(2001,assumption,(until5(s24)), introduced(assumption)).
% 8.28/5.78 tff(2002,plain,
% 8.28/5.78 (xuntil6(s24) | node4(s24)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1872, 36, 2001])).
% 8.28/5.78 tff(2003,plain,
% 8.28/5.78 (xuntil6(s24)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[2002, 2000])).
% 8.28/5.78 tff(2004,plain,
% 8.28/5.78 (until5(s25)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1865, 2003])).
% 8.28/5.78 tff(2005,plain,
% 8.28/5.78 (node4(s25)),
% 8.28/5.78 inference(unit_resolution,[status(thm)],[1860, 2004])).
% 8.28/5.78 tff(2006,plain,
% 8.28/5.78 (((~![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)))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2007,plain,
% 8.28/5.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s25) | (~node4(s25)))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2008,plain,
% 8.28/5.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s25) | (~node4(s25))),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2007, 2006])).
% 8.28/5.79 tff(2009,plain,
% 8.28/5.79 (m_main_v_request(s25)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2008, 154, 2005])).
% 8.28/5.79 tff(2010,plain,
% 8.28/5.79 (((~![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))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2011,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s25, s26)) | node2(s25, s26))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2012,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s25, s26)) | node2(s25, s26)),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2011, 2010])).
% 8.28/5.79 tff(2013,plain,
% 8.28/5.79 (node2(s25, s26)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2012, 7, 1954])).
% 8.28/5.79 tff(2014,plain,
% 8.28/5.79 (((~![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(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)))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2015,plain,
% 8.28/5.79 ((~![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(s25, c_ready)) | (~node2(s25, s26)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s25)))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2016,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s25, c_ready)) | (~node2(s25, s26)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s25))),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2015, 2014])).
% 8.28/5.79 tff(2017,plain,
% 8.28/5.79 ((~m_main_v_state(s25, c_ready)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s25))),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2016, 191, 2013])).
% 8.28/5.79 tff(2018,plain,
% 8.28/5.79 ($false),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2017, 2009, 1977, 1966])).
% 8.28/5.79 tff(2019,plain,(xuntil6(s25) | (~until5(s24))), inference(lemma,lemma(discharge,[]))).
% 8.28/5.79 tff(2020,plain,
% 8.28/5.79 (xuntil6(s25)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2019, 1831])).
% 8.28/5.79 tff(2021,plain,
% 8.28/5.79 (((~![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))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2022,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s25, s26)) | (~xuntil6(s25)) | until5(s26))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2023,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s25, s26)) | (~xuntil6(s25)) | until5(s26)),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2022, 2021])).
% 8.28/5.79 tff(2024,plain,
% 8.28/5.79 ((~xuntil6(s25)) | until5(s26)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2023, 1950, 141])).
% 8.28/5.79 tff(2025,plain,
% 8.28/5.79 (until5(s26)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2024, 2020])).
% 8.28/5.79 tff(2026,assumption,(until5(s26)), introduced(assumption)).
% 8.28/5.79 tff(2027,assumption,(~xuntil6(s29)), introduced(assumption)).
% 8.28/5.79 tff(2028,assumption,(~always3(s29)), introduced(assumption)).
% 8.28/5.79 tff(2029,plain,
% 8.28/5.79 (succ(s28, s29) <=> succ(s28, s29)),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2030,axiom,(succ(s28, s29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound29')).
% 8.28/5.79 tff(2031,plain,
% 8.28/5.79 (succ(s28, s29)),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2030, 2029])).
% 8.28/5.79 tff(2032,plain,
% 8.28/5.79 (((~![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))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2033,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s28, s29)) | trans(s28, s29))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2034,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s28, s29)) | trans(s28, s29)),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2033, 2032])).
% 8.28/5.79 tff(2035,plain,
% 8.28/5.79 (trans(s28, s29)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2034, 2031, 51])).
% 8.28/5.79 tff(2036,plain,
% 8.28/5.79 (((~![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))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2037,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s28, s29)) | (~always3(s28)) | always3(s29))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2038,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s28, s29)) | (~always3(s28)) | always3(s29)),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2037, 2036])).
% 8.28/5.79 tff(2039,plain,
% 8.28/5.79 ((~always3(s28)) | always3(s29)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2038, 68, 2035])).
% 8.28/5.79 tff(2040,plain,
% 8.28/5.79 (~always3(s28)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2039, 2028])).
% 8.28/5.79 tff(2041,plain,
% 8.28/5.79 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s28) | (~node4(s28)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s28) | (~node4(s28)))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2042,plain,
% 8.28/5.79 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s28) | (~node4(s28)))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2043,plain,
% 8.28/5.79 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s28) | (~node4(s28))),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2042, 2041])).
% 8.28/5.79 tff(2044,plain,
% 8.28/5.79 (~node4(s28)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2043, 22, 2040])).
% 8.28/5.79 tff(2045,plain,
% 8.28/5.79 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s29) | (~node4(s29)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s29) | (~node4(s29)))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2046,plain,
% 8.28/5.79 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s29) | (~node4(s29)))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2047,plain,
% 8.28/5.79 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s29) | (~node4(s29))),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2046, 2045])).
% 8.28/5.79 tff(2048,plain,
% 8.28/5.79 (~node4(s29)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2047, 22, 2028])).
% 8.28/5.79 tff(2049,plain,
% 8.28/5.79 (((~![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)))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2050,plain,
% 8.28/5.79 ((node4(s29) | (~until5(s29)) | xuntil6(s29)) <=> (xuntil6(s29) | node4(s29) | (~until5(s29)))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2051,plain,
% 8.28/5.79 (((~![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))))),
% 8.28/5.79 inference(monotonicity,[status(thm)],[2050])).
% 8.28/5.79 tff(2052,plain,
% 8.28/5.79 (((~![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)))),
% 8.28/5.79 inference(transitivity,[status(thm)],[2051, 2049])).
% 8.28/5.79 tff(2053,plain,
% 8.28/5.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s29) | (~until5(s29)) | xuntil6(s29))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2054,plain,
% 8.28/5.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s29) | node4(s29) | (~until5(s29))),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2053, 2052])).
% 8.28/5.79 tff(2055,plain,
% 8.28/5.79 (node4(s29) | (~until5(s29))),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2054, 36, 2027])).
% 8.28/5.79 tff(2056,plain,
% 8.28/5.79 (~until5(s29)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2055, 2048])).
% 8.28/5.79 tff(2057,plain,
% 8.28/5.79 (((~![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))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2058,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s28, s29)) | (~xuntil6(s28)) | until5(s29))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2059,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s28, s29)) | (~xuntil6(s28)) | until5(s29)),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2058, 2057])).
% 8.28/5.79 tff(2060,plain,
% 8.28/5.79 ((~xuntil6(s28)) | until5(s29)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2059, 2031, 141])).
% 8.28/5.79 tff(2061,plain,
% 8.28/5.79 (~xuntil6(s28)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2060, 2056])).
% 8.28/5.79 tff(2062,plain,
% 8.28/5.79 (((~![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)))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2063,plain,
% 8.28/5.79 ((node4(s28) | (~until5(s28)) | xuntil6(s28)) <=> (xuntil6(s28) | node4(s28) | (~until5(s28)))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2064,plain,
% 8.28/5.79 (((~![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))))),
% 8.28/5.79 inference(monotonicity,[status(thm)],[2063])).
% 8.28/5.79 tff(2065,plain,
% 8.28/5.79 (((~![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)))),
% 8.28/5.79 inference(transitivity,[status(thm)],[2064, 2062])).
% 8.28/5.79 tff(2066,plain,
% 8.28/5.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s28) | (~until5(s28)) | xuntil6(s28))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2067,plain,
% 8.28/5.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s28) | node4(s28) | (~until5(s28))),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2066, 2065])).
% 8.28/5.79 tff(2068,plain,
% 8.28/5.79 (~until5(s28)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2067, 36, 2061, 2044])).
% 8.28/5.79 tff(2069,plain,
% 8.28/5.79 (succ(s27, s28) <=> succ(s27, s28)),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2070,axiom,(succ(s27, s28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound28')).
% 8.28/5.79 tff(2071,plain,
% 8.28/5.79 (succ(s27, s28)),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2070, 2069])).
% 8.28/5.79 tff(2072,plain,
% 8.28/5.79 (((~![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))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2073,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s27, s28)) | (~xuntil6(s27)) | until5(s28))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2074,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s27, s28)) | (~xuntil6(s27)) | until5(s28)),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2073, 2072])).
% 8.28/5.79 tff(2075,plain,
% 8.28/5.79 ((~xuntil6(s27)) | until5(s28)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2074, 2071, 141])).
% 8.28/5.79 tff(2076,plain,
% 8.28/5.79 (~xuntil6(s27)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2075, 2068])).
% 8.28/5.79 tff(2077,plain,
% 8.28/5.79 (((~![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))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2078,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s27, s28)) | trans(s27, s28))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2079,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s27, s28)) | trans(s27, s28)),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2078, 2077])).
% 8.28/5.79 tff(2080,plain,
% 8.28/5.79 (trans(s27, s28)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2079, 2071, 51])).
% 8.28/5.79 tff(2081,plain,
% 8.28/5.79 (((~![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))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2082,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s27, s28)) | (~always3(s27)) | always3(s28))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2083,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s27, s28)) | (~always3(s27)) | always3(s28)),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2082, 2081])).
% 8.28/5.79 tff(2084,plain,
% 8.28/5.79 ((~always3(s27)) | always3(s28)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2083, 68, 2080])).
% 8.28/5.79 tff(2085,plain,
% 8.28/5.79 (~always3(s27)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2084, 2040])).
% 8.28/5.79 tff(2086,plain,
% 8.28/5.79 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s27) | (~node4(s27)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s27) | (~node4(s27)))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2087,plain,
% 8.28/5.79 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s27) | (~node4(s27)))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2088,plain,
% 8.28/5.79 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s27) | (~node4(s27))),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2087, 2086])).
% 8.28/5.79 tff(2089,plain,
% 8.28/5.79 (~node4(s27)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2088, 22, 2085])).
% 8.28/5.79 tff(2090,plain,
% 8.28/5.79 (((~![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)))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2091,plain,
% 8.28/5.79 ((node4(s27) | (~until5(s27)) | xuntil6(s27)) <=> (xuntil6(s27) | node4(s27) | (~until5(s27)))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2092,plain,
% 8.28/5.79 (((~![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))))),
% 8.28/5.79 inference(monotonicity,[status(thm)],[2091])).
% 8.28/5.79 tff(2093,plain,
% 8.28/5.79 (((~![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)))),
% 8.28/5.79 inference(transitivity,[status(thm)],[2092, 2090])).
% 8.28/5.79 tff(2094,plain,
% 8.28/5.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s27) | (~until5(s27)) | xuntil6(s27))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2095,plain,
% 8.28/5.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s27) | node4(s27) | (~until5(s27))),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2094, 2093])).
% 8.28/5.79 tff(2096,plain,
% 8.28/5.79 (xuntil6(s27) | (~until5(s27))),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2095, 36, 2089])).
% 8.28/5.79 tff(2097,plain,
% 8.28/5.79 (~until5(s27)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2096, 2076])).
% 8.28/5.79 tff(2098,plain,
% 8.28/5.79 (succ(s26, s27) <=> succ(s26, s27)),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2099,axiom,(succ(s26, s27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound27')).
% 8.28/5.79 tff(2100,plain,
% 8.28/5.79 (succ(s26, s27)),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2099, 2098])).
% 8.28/5.79 tff(2101,plain,
% 8.28/5.79 (((~![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))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2102,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s26, s27)) | (~xuntil6(s26)) | until5(s27))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2103,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s26, s27)) | (~xuntil6(s26)) | until5(s27)),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2102, 2101])).
% 8.28/5.79 tff(2104,plain,
% 8.28/5.79 ((~xuntil6(s26)) | until5(s27)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2103, 2100, 141])).
% 8.28/5.79 tff(2105,plain,
% 8.28/5.79 (~xuntil6(s26)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2104, 2097])).
% 8.28/5.79 tff(2106,plain,
% 8.28/5.79 (((~![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))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2107,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s26, s27)) | trans(s26, s27))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2108,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s26, s27)) | trans(s26, s27)),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2107, 2106])).
% 8.28/5.79 tff(2109,plain,
% 8.28/5.79 (trans(s26, s27)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2108, 2100, 51])).
% 8.28/5.79 tff(2110,plain,
% 8.28/5.79 (((~![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))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2111,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s26, s27)) | (~always3(s26)) | always3(s27))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2112,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s26, s27)) | (~always3(s26)) | always3(s27)),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2111, 2110])).
% 8.28/5.79 tff(2113,plain,
% 8.28/5.79 ((~always3(s26)) | always3(s27)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2112, 68, 2109])).
% 8.28/5.79 tff(2114,plain,
% 8.28/5.79 (~always3(s26)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2113, 2085])).
% 8.28/5.79 tff(2115,plain,
% 8.28/5.79 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s26) | (~node4(s26)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s26) | (~node4(s26)))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2116,plain,
% 8.28/5.79 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s26) | (~node4(s26)))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2117,plain,
% 8.28/5.79 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s26) | (~node4(s26))),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2116, 2115])).
% 8.28/5.79 tff(2118,plain,
% 8.28/5.79 (~node4(s26)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2117, 22, 2114])).
% 8.28/5.79 tff(2119,plain,
% 8.28/5.79 (((~![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)))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2120,plain,
% 8.28/5.79 ((node4(s26) | (~until5(s26)) | xuntil6(s26)) <=> (xuntil6(s26) | node4(s26) | (~until5(s26)))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2121,plain,
% 8.28/5.79 (((~![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))))),
% 8.28/5.79 inference(monotonicity,[status(thm)],[2120])).
% 8.28/5.79 tff(2122,plain,
% 8.28/5.79 (((~![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)))),
% 8.28/5.79 inference(transitivity,[status(thm)],[2121, 2119])).
% 8.28/5.79 tff(2123,plain,
% 8.28/5.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s26) | (~until5(s26)) | xuntil6(s26))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2124,plain,
% 8.28/5.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s26) | node4(s26) | (~until5(s26))),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2123, 2122])).
% 8.28/5.79 tff(2125,plain,
% 8.28/5.79 (xuntil6(s26) | (~until5(s26))),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2124, 36, 2118])).
% 8.28/5.79 tff(2126,plain,
% 8.28/5.79 (~until5(s26)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2125, 2105])).
% 8.28/5.79 tff(2127,plain,
% 8.28/5.79 (~xuntil6(s25)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2024, 2126])).
% 8.28/5.79 tff(2128,plain,
% 8.28/5.79 (~always3(s25)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1958, 2114])).
% 8.28/5.79 tff(2129,plain,
% 8.28/5.79 (~node4(s25)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1852, 22, 2128])).
% 8.28/5.79 tff(2130,plain,
% 8.28/5.79 (xuntil6(s25) | (~until5(s25))),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1859, 36, 2129])).
% 8.28/5.79 tff(2131,plain,
% 8.28/5.79 (~until5(s25)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2130, 2127])).
% 8.28/5.79 tff(2132,plain,
% 8.28/5.79 (~xuntil6(s24)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1865, 2131])).
% 8.28/5.79 tff(2133,plain,
% 8.28/5.79 (~always3(s24)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1844, 2128])).
% 8.28/5.79 tff(2134,plain,
% 8.28/5.79 (~node4(s24)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1848, 22, 2133])).
% 8.28/5.79 tff(2135,plain,
% 8.28/5.79 (xuntil6(s24) | (~until5(s24))),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1872, 36, 2134])).
% 8.28/5.79 tff(2136,plain,
% 8.28/5.79 (~until5(s24)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2135, 2132])).
% 8.28/5.79 tff(2137,plain,
% 8.28/5.79 (~xuntil6(s23)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1830, 2136])).
% 8.28/5.79 tff(2138,plain,
% 8.28/5.79 (~always3(s23)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1728, 2133])).
% 8.28/5.79 tff(2139,plain,
% 8.28/5.79 (~node4(s23)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1608, 22, 2138])).
% 8.28/5.79 tff(2140,plain,
% 8.28/5.79 (xuntil6(s23) | (~until5(s23))),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1615, 36, 2139])).
% 8.28/5.79 tff(2141,plain,
% 8.28/5.79 (~until5(s23)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2140, 2137])).
% 8.28/5.79 tff(2142,plain,
% 8.28/5.79 (~xuntil6(s22)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1621, 2141])).
% 8.28/5.79 tff(2143,plain,
% 8.28/5.79 (~always3(s22)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1600, 2138])).
% 8.28/5.79 tff(2144,plain,
% 8.28/5.79 (~node4(s22)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1604, 22, 2143])).
% 8.28/5.79 tff(2145,plain,
% 8.28/5.79 (xuntil6(s22) | (~until5(s22))),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1628, 36, 2144])).
% 8.28/5.79 tff(2146,plain,
% 8.28/5.79 (~until5(s22)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2145, 2142])).
% 8.28/5.79 tff(2147,plain,
% 8.28/5.79 (~xuntil6(s21)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1636, 2146])).
% 8.28/5.79 tff(2148,plain,
% 8.28/5.79 (~always3(s21)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1645, 2143])).
% 8.28/5.79 tff(2149,plain,
% 8.28/5.79 (~node4(s21)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1649, 22, 2148])).
% 8.28/5.79 tff(2150,plain,
% 8.28/5.79 (xuntil6(s21) | (~until5(s21))),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1656, 36, 2149])).
% 8.28/5.79 tff(2151,plain,
% 8.28/5.79 (~until5(s21)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2150, 2147])).
% 8.28/5.79 tff(2152,plain,
% 8.28/5.79 (~xuntil6(s20)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1586, 2151])).
% 8.28/5.79 tff(2153,plain,
% 8.28/5.79 (~always3(s20)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1480, 2148])).
% 8.28/5.79 tff(2154,plain,
% 8.28/5.79 (~node4(s20)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1386, 22, 2153])).
% 8.28/5.79 tff(2155,plain,
% 8.28/5.79 (xuntil6(s20) | (~until5(s20))),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1393, 36, 2154])).
% 8.28/5.79 tff(2156,plain,
% 8.28/5.79 (~until5(s20)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2155, 2152])).
% 8.28/5.79 tff(2157,plain,
% 8.28/5.79 (~always3(s19)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1363, 2153])).
% 8.28/5.79 tff(2158,plain,
% 8.28/5.79 (~always3(s18)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1375, 2157])).
% 8.28/5.79 tff(2159,plain,
% 8.28/5.79 (~always3(s17)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1283, 2158])).
% 8.28/5.79 tff(2160,plain,
% 8.28/5.79 (~always3(s16)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1205, 2159])).
% 8.28/5.79 tff(2161,plain,
% 8.28/5.79 (~always3(s15)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1125, 2160])).
% 8.28/5.79 tff(2162,plain,
% 8.28/5.79 (~always3(s14)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1015, 2161])).
% 8.28/5.79 tff(2163,plain,
% 8.28/5.79 (~always3(s13)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[966, 2162])).
% 8.28/5.79 tff(2164,plain,
% 8.28/5.79 (~always3(s12)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[826, 2163])).
% 8.28/5.79 tff(2165,plain,
% 8.28/5.79 (~always3(s11)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[761, 2164])).
% 8.28/5.79 tff(2166,plain,
% 8.28/5.79 (~always3(s10)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[788, 2165])).
% 8.28/5.79 tff(2167,plain,
% 8.28/5.79 (~always3(s9)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[425, 2166])).
% 8.28/5.79 tff(2168,plain,
% 8.28/5.79 (~node4(s9)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[25, 22, 2167])).
% 8.28/5.79 tff(2169,plain,
% 8.28/5.79 (~always3(s8)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[72, 2167])).
% 8.28/5.79 tff(2170,plain,
% 8.28/5.79 (~node4(s8)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[76, 22, 2169])).
% 8.28/5.79 tff(2171,plain,
% 8.28/5.79 (~always3(s7)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[88, 2169])).
% 8.28/5.79 tff(2172,plain,
% 8.28/5.79 (xuntil6(s7)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[386, 2171])).
% 8.28/5.79 tff(2173,plain,
% 8.28/5.79 (until5(s8)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[391, 2172])).
% 8.28/5.79 tff(2174,plain,
% 8.28/5.79 (xuntil6(s8) | node4(s8)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[398, 36, 2173])).
% 8.28/5.79 tff(2175,plain,
% 8.28/5.79 (xuntil6(s8)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2174, 2170])).
% 8.28/5.79 tff(2176,plain,
% 8.28/5.79 (until5(s9)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[404, 2175])).
% 8.28/5.79 tff(2177,plain,
% 8.28/5.79 (xuntil6(s9)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[42, 36, 2176, 2168])).
% 8.28/5.79 tff(2178,plain,
% 8.28/5.79 (until5(s10)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[733, 2177])).
% 8.28/5.79 tff(2179,plain,
% 8.28/5.79 (xuntil6(s12)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[814, 2178, 2164])).
% 8.28/5.79 tff(2180,plain,
% 8.28/5.79 (until5(s13)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[921, 2179])).
% 8.28/5.79 tff(2181,plain,
% 8.28/5.79 (~node4(s13)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[932, 22, 2163])).
% 8.28/5.79 tff(2182,plain,
% 8.28/5.79 (xuntil6(s13) | (~until5(s13))),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[939, 36, 2181])).
% 8.28/5.79 tff(2183,plain,
% 8.28/5.79 (xuntil6(s13)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2182, 2180])).
% 8.28/5.79 tff(2184,plain,
% 8.28/5.79 (until5(s14)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1001, 2183])).
% 8.28/5.79 tff(2185,plain,
% 8.28/5.79 (~node4(s14)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1032, 22, 2162])).
% 8.28/5.79 tff(2186,plain,
% 8.28/5.79 (xuntil6(s14) | (~until5(s14))),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1056, 36, 2185])).
% 8.28/5.79 tff(2187,plain,
% 8.28/5.79 (xuntil6(s14)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2186, 2184])).
% 8.28/5.79 tff(2188,plain,
% 8.28/5.79 (until5(s15)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1049, 2187])).
% 8.28/5.79 tff(2189,plain,
% 8.28/5.79 (~node4(s15)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1036, 22, 2161])).
% 8.28/5.79 tff(2190,plain,
% 8.28/5.79 (xuntil6(s15) | (~until5(s15))),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1043, 36, 2189])).
% 8.28/5.79 tff(2191,plain,
% 8.28/5.79 (xuntil6(s15)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2190, 2188])).
% 8.28/5.79 tff(2192,plain,
% 8.28/5.79 (until5(s16)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1191, 2191])).
% 8.28/5.79 tff(2193,plain,
% 8.28/5.79 (~node4(s16)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1210, 22, 2160])).
% 8.28/5.79 tff(2194,plain,
% 8.28/5.79 (xuntil6(s16) | (~until5(s16))),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1234, 36, 2193])).
% 8.28/5.79 tff(2195,plain,
% 8.28/5.79 (xuntil6(s16)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2194, 2192])).
% 8.28/5.79 tff(2196,plain,
% 8.28/5.79 (until5(s17)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1227, 2195])).
% 8.28/5.79 tff(2197,plain,
% 8.28/5.79 (~node4(s17)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1214, 22, 2159])).
% 8.28/5.79 tff(2198,plain,
% 8.28/5.79 (xuntil6(s17) | (~until5(s17))),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1221, 36, 2197])).
% 8.28/5.79 tff(2199,plain,
% 8.28/5.79 (xuntil6(s17)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2198, 2196])).
% 8.28/5.79 tff(2200,plain,
% 8.28/5.79 (until5(s18)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1349, 2199])).
% 8.28/5.79 tff(2201,plain,
% 8.28/5.79 (~node4(s18)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1415, 22, 2158])).
% 8.28/5.79 tff(2202,plain,
% 8.28/5.79 (xuntil6(s18) | (~until5(s18))),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1422, 36, 2201])).
% 8.28/5.79 tff(2203,plain,
% 8.28/5.79 (xuntil6(s18)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2202, 2200])).
% 8.28/5.79 tff(2204,plain,
% 8.28/5.79 (until5(s19)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1411, 2203])).
% 8.28/5.79 tff(2205,plain,
% 8.28/5.79 (~node4(s19)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1382, 22, 2157])).
% 8.28/5.79 tff(2206,plain,
% 8.28/5.79 (xuntil6(s19) | (~until5(s19))),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1406, 36, 2205])).
% 8.28/5.79 tff(2207,plain,
% 8.28/5.79 (xuntil6(s19)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2206, 2204])).
% 8.28/5.79 tff(2208,plain,
% 8.28/5.79 ($false),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[1399, 2207, 2156])).
% 8.28/5.79 tff(2209,plain,(always3(s29) | xuntil6(s29)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.79 tff(2210,plain,
% 8.28/5.79 (always3(s29)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2209, 2027])).
% 8.28/5.79 tff(2211,plain,
% 8.28/5.79 (((~![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)))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2212,plain,
% 8.28/5.79 (((~m_main_v_state(s29, c_busy)) | (~always3(s29))) <=> ((~always3(s29)) | (~m_main_v_state(s29, c_busy)))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2213,plain,
% 8.28/5.79 (((~![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))))),
% 8.28/5.79 inference(monotonicity,[status(thm)],[2212])).
% 8.28/5.79 tff(2214,plain,
% 8.28/5.79 (((~![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)))),
% 8.28/5.79 inference(transitivity,[status(thm)],[2213, 2211])).
% 8.28/5.79 tff(2215,plain,
% 8.28/5.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s29, c_busy)) | (~always3(s29)))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2216,plain,
% 8.28/5.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s29)) | (~m_main_v_state(s29, c_busy))),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2215, 2214])).
% 8.28/5.79 tff(2217,plain,
% 8.28/5.79 (~m_main_v_state(s29, c_busy)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2216, 170, 2210])).
% 8.28/5.79 tff(2218,plain,
% 8.28/5.79 (succ(s29, s30) <=> succ(s29, s30)),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2219,axiom,(succ(s29, s30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound30')).
% 8.28/5.79 tff(2220,plain,
% 8.28/5.79 (succ(s29, s30)),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2219, 2218])).
% 8.28/5.79 tff(2221,plain,
% 8.28/5.79 (((~![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))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2222,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s29, s30)) | trans(s29, s30))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2223,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s29, s30)) | trans(s29, s30)),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2222, 2221])).
% 8.28/5.79 tff(2224,plain,
% 8.28/5.79 (trans(s29, s30)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2223, 2220, 51])).
% 8.28/5.79 tff(2225,plain,
% 8.28/5.79 (((~![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))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2226,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s29, s30)) | (~always3(s29)) | always3(s30))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2227,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s29, s30)) | (~always3(s29)) | always3(s30)),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2226, 2225])).
% 8.28/5.79 tff(2228,plain,
% 8.28/5.79 ((~always3(s29)) | always3(s30)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2227, 68, 2224])).
% 8.28/5.79 tff(2229,plain,
% 8.28/5.79 (always3(s30)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2228, 2210])).
% 8.28/5.79 tff(2230,plain,
% 8.28/5.79 (((~![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)))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2231,plain,
% 8.28/5.79 (((~m_main_v_state(s30, c_busy)) | (~always3(s30))) <=> ((~always3(s30)) | (~m_main_v_state(s30, c_busy)))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2232,plain,
% 8.28/5.79 (((~![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))))),
% 8.28/5.79 inference(monotonicity,[status(thm)],[2231])).
% 8.28/5.79 tff(2233,plain,
% 8.28/5.79 (((~![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)))),
% 8.28/5.79 inference(transitivity,[status(thm)],[2232, 2230])).
% 8.28/5.79 tff(2234,plain,
% 8.28/5.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s30, c_busy)) | (~always3(s30)))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2235,plain,
% 8.28/5.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s30)) | (~m_main_v_state(s30, c_busy))),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2234, 2233])).
% 8.28/5.79 tff(2236,plain,
% 8.28/5.79 (~m_main_v_state(s30, c_busy)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2235, 170, 2229])).
% 8.28/5.79 tff(2237,plain,
% 8.28/5.79 (((~![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))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2238,plain,
% 8.28/5.79 ((~![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))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2239,plain,
% 8.28/5.79 ((~![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)),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2238, 2237])).
% 8.28/5.79 tff(2240,plain,
% 8.28/5.79 (m_main_v_state(s29, c_ready)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2239, 213, 2217])).
% 8.28/5.79 tff(2241,plain,
% 8.28/5.79 (((~![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))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2242,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s29, s30)) | node2(s29, s30))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2243,plain,
% 8.28/5.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s29, s30)) | node2(s29, s30)),
% 8.28/5.79 inference(modus_ponens,[status(thm)],[2242, 2241])).
% 8.28/5.79 tff(2244,plain,
% 8.28/5.79 (node2(s29, s30)),
% 8.28/5.79 inference(unit_resolution,[status(thm)],[2243, 7, 2224])).
% 8.28/5.79 tff(2245,plain,
% 8.28/5.79 (((~![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(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)))),
% 8.28/5.79 inference(rewrite,[status(thm)],[])).
% 8.28/5.79 tff(2246,plain,
% 8.28/5.79 ((~![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(s29, c_ready)) | (~node2(s29, s30)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s29)))),
% 8.28/5.79 inference(quant_inst,[status(thm)],[])).
% 8.28/5.79 tff(2247,plain,
% 8.28/5.79 ((~![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(s29, c_ready)) | (~node2(s29, s30)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s29))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[2246, 2245])).
% 8.28/5.80 tff(2248,plain,
% 8.28/5.80 ((~m_main_v_state(s29, c_ready)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s29))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2247, 191, 2244])).
% 8.28/5.80 tff(2249,plain,
% 8.28/5.80 (~m_main_v_request(s29)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2248, 2240, 2236])).
% 8.28/5.80 tff(2250,plain,
% 8.28/5.80 (((~![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)))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2251,plain,
% 8.28/5.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s29) | (~node4(s29)))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(2252,plain,
% 8.28/5.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s29) | (~node4(s29))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[2251, 2250])).
% 8.28/5.80 tff(2253,plain,
% 8.28/5.80 (~node4(s29)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2252, 154, 2249])).
% 8.28/5.80 tff(2254,plain,
% 8.28/5.80 (~until5(s29)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2055, 2253])).
% 8.28/5.80 tff(2255,plain,
% 8.28/5.80 (~xuntil6(s28)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2060, 2254])).
% 8.28/5.80 tff(2256,assumption,(until5(s28)), introduced(assumption)).
% 8.28/5.80 tff(2257,plain,
% 8.28/5.80 (xuntil6(s28) | node4(s28)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2067, 36, 2256])).
% 8.28/5.80 tff(2258,plain,
% 8.28/5.80 (node4(s28)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2257, 2255])).
% 8.28/5.80 tff(2259,plain,
% 8.28/5.80 (((~![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)))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2260,plain,
% 8.28/5.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s28) | (~node4(s28)))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(2261,plain,
% 8.28/5.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s28) | (~node4(s28))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[2260, 2259])).
% 8.28/5.80 tff(2262,plain,
% 8.28/5.80 (m_main_v_request(s28)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2261, 154, 2258])).
% 8.28/5.80 tff(2263,plain,
% 8.28/5.80 (((~![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))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2264,plain,
% 8.28/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s28, s29)) | node2(s28, s29))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(2265,plain,
% 8.28/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s28, s29)) | node2(s28, s29)),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[2264, 2263])).
% 8.28/5.80 tff(2266,plain,
% 8.28/5.80 (node2(s28, s29)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2265, 7, 2035])).
% 8.28/5.80 tff(2267,plain,
% 8.28/5.80 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2268,plain,
% 8.28/5.80 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(2269,plain,
% 8.28/5.80 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[2268, 2267])).
% 8.28/5.80 tff(2270,plain,
% 8.28/5.80 ((~m_main_v_state(s28, c_ready)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s28))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2269, 191, 2266])).
% 8.28/5.80 tff(2271,plain,
% 8.28/5.80 (~m_main_v_state(s28, c_ready)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2270, 2262, 2217])).
% 8.28/5.80 tff(2272,assumption,(~always3(s28)), introduced(assumption)).
% 8.28/5.80 tff(2273,plain,
% 8.28/5.80 (~always3(s27)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2084, 2272])).
% 8.28/5.80 tff(2274,plain,
% 8.28/5.80 (~node4(s27)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2088, 22, 2273])).
% 8.28/5.80 tff(2275,plain,
% 8.28/5.80 (~always3(s26)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2113, 2273])).
% 8.28/5.80 tff(2276,plain,
% 8.28/5.80 (~node4(s26)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2117, 22, 2275])).
% 8.28/5.80 tff(2277,plain,
% 8.28/5.80 (xuntil6(s26) | node4(s26)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2124, 36, 2026])).
% 8.28/5.80 tff(2278,plain,
% 8.28/5.80 (xuntil6(s26)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2277, 2276])).
% 8.28/5.80 tff(2279,plain,
% 8.28/5.80 (until5(s27)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2104, 2278])).
% 8.28/5.80 tff(2280,plain,
% 8.28/5.80 (xuntil6(s27)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2095, 36, 2279, 2274])).
% 8.28/5.80 tff(2281,plain,
% 8.28/5.80 (until5(s28)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2075, 2280])).
% 8.28/5.80 tff(2282,assumption,(~xuntil6(s28)), introduced(assumption)).
% 8.28/5.80 tff(2283,plain,
% 8.28/5.80 (node4(s28) | (~until5(s28))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2067, 36, 2282])).
% 8.28/5.80 tff(2284,plain,
% 8.28/5.80 (node4(s28)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2283, 2281])).
% 8.28/5.80 tff(2285,plain,
% 8.28/5.80 ($false),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2043, 22, 2272, 2284])).
% 8.28/5.80 tff(2286,plain,(always3(s28) | xuntil6(s28) | (~until5(s26))), inference(lemma,lemma(discharge,[]))).
% 8.28/5.80 tff(2287,plain,
% 8.28/5.80 (always3(s28)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2286, 2255, 2026])).
% 8.28/5.80 tff(2288,plain,
% 8.28/5.80 (((~![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)))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2289,plain,
% 8.28/5.80 (((~m_main_v_state(s28, c_busy)) | (~always3(s28))) <=> ((~always3(s28)) | (~m_main_v_state(s28, c_busy)))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2290,plain,
% 8.28/5.80 (((~![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))))),
% 8.28/5.80 inference(monotonicity,[status(thm)],[2289])).
% 8.28/5.80 tff(2291,plain,
% 8.28/5.80 (((~![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)))),
% 8.28/5.80 inference(transitivity,[status(thm)],[2290, 2288])).
% 8.28/5.80 tff(2292,plain,
% 8.28/5.80 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s28, c_busy)) | (~always3(s28)))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(2293,plain,
% 8.28/5.80 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s28)) | (~m_main_v_state(s28, c_busy))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[2292, 2291])).
% 8.28/5.80 tff(2294,plain,
% 8.28/5.80 (~m_main_v_state(s28, c_busy)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2293, 170, 2287])).
% 8.28/5.80 tff(2295,plain,
% 8.28/5.80 (((~![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))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2296,plain,
% 8.28/5.80 ((~![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))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(2297,plain,
% 8.28/5.80 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s28, c_busy) | m_main_v_state(s28, c_ready)),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[2296, 2295])).
% 8.28/5.80 tff(2298,plain,
% 8.28/5.80 ($false),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2297, 213, 2294, 2271])).
% 8.28/5.80 tff(2299,plain,(xuntil6(s29) | (~until5(s28)) | (~until5(s26))), inference(lemma,lemma(discharge,[]))).
% 8.28/5.80 tff(2300,plain,
% 8.28/5.80 (~until5(s28)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2299, 2027, 2026])).
% 8.28/5.80 tff(2301,plain,
% 8.28/5.80 (~xuntil6(s27)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2075, 2300])).
% 8.28/5.80 tff(2302,assumption,(node4(s26)), introduced(assumption)).
% 8.28/5.80 tff(2303,plain,
% 8.28/5.80 (((~![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)))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2304,plain,
% 8.28/5.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s26) | (~node4(s26)))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(2305,plain,
% 8.28/5.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s26) | (~node4(s26))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[2304, 2303])).
% 8.28/5.80 tff(2306,plain,
% 8.28/5.80 (m_main_v_request(s26)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2305, 154, 2302])).
% 8.28/5.80 tff(2307,plain,
% 8.28/5.80 (always3(s26)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2117, 22, 2302])).
% 8.28/5.80 tff(2308,plain,
% 8.28/5.80 (always3(s27)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2113, 2307])).
% 8.28/5.80 tff(2309,plain,
% 8.28/5.80 (((~![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)))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2310,plain,
% 8.28/5.80 (((~m_main_v_state(s27, c_busy)) | (~always3(s27))) <=> ((~always3(s27)) | (~m_main_v_state(s27, c_busy)))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2311,plain,
% 8.28/5.80 (((~![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))))),
% 8.28/5.80 inference(monotonicity,[status(thm)],[2310])).
% 8.28/5.80 tff(2312,plain,
% 8.28/5.80 (((~![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)))),
% 8.28/5.80 inference(transitivity,[status(thm)],[2311, 2309])).
% 8.28/5.80 tff(2313,plain,
% 8.28/5.80 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s27, c_busy)) | (~always3(s27)))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(2314,plain,
% 8.28/5.80 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s27)) | (~m_main_v_state(s27, c_busy))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[2313, 2312])).
% 8.28/5.80 tff(2315,plain,
% 8.28/5.80 (~m_main_v_state(s27, c_busy)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2314, 170, 2308])).
% 8.28/5.80 tff(2316,plain,
% 8.28/5.80 (((~![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))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2317,plain,
% 8.28/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s26, s27)) | node2(s26, s27))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(2318,plain,
% 8.28/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s26, s27)) | node2(s26, s27)),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[2317, 2316])).
% 8.28/5.80 tff(2319,plain,
% 8.28/5.80 (node2(s26, s27)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2318, 7, 2109])).
% 8.28/5.80 tff(2320,plain,
% 8.28/5.80 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2321,plain,
% 8.28/5.80 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(2322,plain,
% 8.28/5.80 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[2321, 2320])).
% 8.28/5.80 tff(2323,plain,
% 8.28/5.80 ((~m_main_v_state(s26, c_ready)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s26))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2322, 191, 2319])).
% 8.28/5.80 tff(2324,plain,
% 8.28/5.80 (~m_main_v_state(s26, c_ready)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2323, 2315, 2306])).
% 8.28/5.80 tff(2325,plain,
% 8.28/5.80 (~m_main_v_state(s26, c_busy)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1965, 170, 2307])).
% 8.28/5.80 tff(2326,plain,
% 8.28/5.80 (((~![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))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2327,plain,
% 8.28/5.80 ((~![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))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(2328,plain,
% 8.28/5.80 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s26, c_busy) | m_main_v_state(s26, c_ready)),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[2327, 2326])).
% 8.28/5.80 tff(2329,plain,
% 8.28/5.80 ($false),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2328, 213, 2325, 2324])).
% 8.28/5.80 tff(2330,plain,(~node4(s26)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.80 tff(2331,plain,
% 8.28/5.80 (xuntil6(s26) | (~until5(s26))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2124, 36, 2330])).
% 8.28/5.80 tff(2332,plain,
% 8.28/5.80 (xuntil6(s26)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2331, 2026])).
% 8.28/5.80 tff(2333,plain,
% 8.28/5.80 (until5(s27)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2104, 2332])).
% 8.28/5.80 tff(2334,plain,
% 8.28/5.80 (xuntil6(s27) | node4(s27)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2095, 36, 2333])).
% 8.28/5.80 tff(2335,plain,
% 8.28/5.80 (node4(s27)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2334, 2301])).
% 8.28/5.80 tff(2336,assumption,(~m_main_v_state(s28, c_busy)), introduced(assumption)).
% 8.28/5.80 tff(2337,assumption,(node4(s27)), introduced(assumption)).
% 8.28/5.80 tff(2338,plain,
% 8.28/5.80 (((~![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)))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2339,plain,
% 8.28/5.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s27) | (~node4(s27)))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(2340,plain,
% 8.28/5.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s27) | (~node4(s27))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[2339, 2338])).
% 8.28/5.80 tff(2341,plain,
% 8.28/5.80 (m_main_v_request(s27)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2340, 154, 2337])).
% 8.28/5.80 tff(2342,plain,
% 8.28/5.80 (((~![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))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2343,plain,
% 8.28/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s27, s28)) | node2(s27, s28))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(2344,plain,
% 8.28/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s27, s28)) | node2(s27, s28)),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[2343, 2342])).
% 8.28/5.80 tff(2345,plain,
% 8.28/5.80 (node2(s27, s28)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2344, 7, 2080])).
% 8.28/5.80 tff(2346,plain,
% 8.28/5.80 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2347,plain,
% 8.28/5.80 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(2348,plain,
% 8.28/5.80 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[2347, 2346])).
% 8.28/5.80 tff(2349,plain,
% 8.28/5.80 ((~m_main_v_state(s27, c_ready)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s27))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2348, 191, 2345])).
% 8.28/5.80 tff(2350,plain,
% 8.28/5.80 (~m_main_v_state(s27, c_ready)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2349, 2341, 2336])).
% 8.28/5.80 tff(2351,plain,
% 8.28/5.80 (always3(s27)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2088, 22, 2337])).
% 8.28/5.80 tff(2352,plain,
% 8.28/5.80 (~m_main_v_state(s27, c_busy)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2314, 170, 2351])).
% 8.28/5.80 tff(2353,plain,
% 8.28/5.80 (((~![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))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2354,plain,
% 8.28/5.80 ((~![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))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(2355,plain,
% 8.28/5.80 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s27, c_busy) | m_main_v_state(s27, c_ready)),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[2354, 2353])).
% 8.28/5.80 tff(2356,plain,
% 8.28/5.80 ($false),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2355, 213, 2352, 2350])).
% 8.28/5.80 tff(2357,plain,((~node4(s27)) | m_main_v_state(s28, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.80 tff(2358,plain,
% 8.28/5.80 (m_main_v_state(s28, c_busy)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2357, 2335])).
% 8.28/5.80 tff(2359,assumption,(~always3(s27)), introduced(assumption)).
% 8.28/5.80 tff(2360,plain,
% 8.28/5.80 (~always3(s26)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2113, 2359])).
% 8.28/5.80 tff(2361,plain,
% 8.28/5.80 (~always3(s25)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1958, 2360])).
% 8.28/5.80 tff(2362,plain,
% 8.28/5.80 (~always3(s24)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1844, 2361])).
% 8.28/5.80 tff(2363,plain,
% 8.28/5.80 (~always3(s23)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1728, 2362])).
% 8.28/5.80 tff(2364,plain,
% 8.28/5.80 (~always3(s22)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1600, 2363])).
% 8.28/5.80 tff(2365,plain,
% 8.28/5.80 (~always3(s21)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1645, 2364])).
% 8.28/5.80 tff(2366,plain,
% 8.28/5.80 (~always3(s20)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1480, 2365])).
% 8.28/5.80 tff(2367,plain,
% 8.28/5.80 (~always3(s19)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1363, 2366])).
% 8.28/5.80 tff(2368,plain,
% 8.28/5.80 (~always3(s18)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1375, 2367])).
% 8.28/5.80 tff(2369,plain,
% 8.28/5.80 (~always3(s17)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1283, 2368])).
% 8.28/5.80 tff(2370,plain,
% 8.28/5.80 (~always3(s16)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1205, 2369])).
% 8.28/5.80 tff(2371,plain,
% 8.28/5.80 (~always3(s15)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1125, 2370])).
% 8.28/5.80 tff(2372,plain,
% 8.28/5.80 (~always3(s14)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1015, 2371])).
% 8.28/5.80 tff(2373,plain,
% 8.28/5.80 (~always3(s13)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[966, 2372])).
% 8.28/5.80 tff(2374,plain,
% 8.28/5.80 (~always3(s12)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[826, 2373])).
% 8.28/5.80 tff(2375,plain,
% 8.28/5.80 (~always3(s11)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[761, 2374])).
% 8.28/5.80 tff(2376,plain,
% 8.28/5.80 (~always3(s10)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[788, 2375])).
% 8.28/5.80 tff(2377,plain,
% 8.28/5.80 (~always3(s9)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[425, 2376])).
% 8.28/5.80 tff(2378,plain,
% 8.28/5.80 (~node4(s9)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[25, 22, 2377])).
% 8.28/5.80 tff(2379,plain,
% 8.28/5.80 (~always3(s8)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[72, 2377])).
% 8.28/5.80 tff(2380,plain,
% 8.28/5.80 (~node4(s8)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[76, 22, 2379])).
% 8.28/5.80 tff(2381,plain,
% 8.28/5.80 (~always3(s7)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[88, 2379])).
% 8.28/5.80 tff(2382,plain,
% 8.28/5.80 (xuntil6(s7)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[386, 2381])).
% 8.28/5.80 tff(2383,plain,
% 8.28/5.80 (until5(s8)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[391, 2382])).
% 8.28/5.80 tff(2384,plain,
% 8.28/5.80 (xuntil6(s8) | node4(s8)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[398, 36, 2383])).
% 8.28/5.80 tff(2385,plain,
% 8.28/5.80 (xuntil6(s8)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2384, 2380])).
% 8.28/5.80 tff(2386,plain,
% 8.28/5.80 (until5(s9)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[404, 2385])).
% 8.28/5.80 tff(2387,plain,
% 8.28/5.80 (xuntil6(s9)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[42, 36, 2386, 2378])).
% 8.28/5.80 tff(2388,plain,
% 8.28/5.80 (until5(s10)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[733, 2387])).
% 8.28/5.80 tff(2389,plain,
% 8.28/5.80 (xuntil6(s12)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[814, 2388, 2374])).
% 8.28/5.80 tff(2390,plain,
% 8.28/5.80 (until5(s13)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[921, 2389])).
% 8.28/5.80 tff(2391,plain,
% 8.28/5.80 (~node4(s13)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[932, 22, 2373])).
% 8.28/5.80 tff(2392,plain,
% 8.28/5.80 (xuntil6(s13) | (~until5(s13))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[939, 36, 2391])).
% 8.28/5.80 tff(2393,plain,
% 8.28/5.80 (xuntil6(s13)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2392, 2390])).
% 8.28/5.80 tff(2394,plain,
% 8.28/5.80 (until5(s14)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1001, 2393])).
% 8.28/5.80 tff(2395,plain,
% 8.28/5.80 (~node4(s14)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1032, 22, 2372])).
% 8.28/5.80 tff(2396,plain,
% 8.28/5.80 (xuntil6(s14) | (~until5(s14))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1056, 36, 2395])).
% 8.28/5.80 tff(2397,plain,
% 8.28/5.80 (xuntil6(s14)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2396, 2394])).
% 8.28/5.80 tff(2398,plain,
% 8.28/5.80 (until5(s15)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1049, 2397])).
% 8.28/5.80 tff(2399,plain,
% 8.28/5.80 (~node4(s15)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1036, 22, 2371])).
% 8.28/5.80 tff(2400,plain,
% 8.28/5.80 (xuntil6(s15) | (~until5(s15))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1043, 36, 2399])).
% 8.28/5.80 tff(2401,plain,
% 8.28/5.80 (xuntil6(s15)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2400, 2398])).
% 8.28/5.80 tff(2402,plain,
% 8.28/5.80 (until5(s16)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1191, 2401])).
% 8.28/5.80 tff(2403,plain,
% 8.28/5.80 (~node4(s16)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1210, 22, 2370])).
% 8.28/5.80 tff(2404,plain,
% 8.28/5.80 (xuntil6(s16) | (~until5(s16))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1234, 36, 2403])).
% 8.28/5.80 tff(2405,plain,
% 8.28/5.80 (xuntil6(s16)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2404, 2402])).
% 8.28/5.80 tff(2406,plain,
% 8.28/5.80 (until5(s17)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1227, 2405])).
% 8.28/5.80 tff(2407,plain,
% 8.28/5.80 (~node4(s17)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1214, 22, 2369])).
% 8.28/5.80 tff(2408,plain,
% 8.28/5.80 (xuntil6(s17) | (~until5(s17))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1221, 36, 2407])).
% 8.28/5.80 tff(2409,plain,
% 8.28/5.80 (xuntil6(s17)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2408, 2406])).
% 8.28/5.80 tff(2410,plain,
% 8.28/5.80 (until5(s18)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1349, 2409])).
% 8.28/5.80 tff(2411,plain,
% 8.28/5.80 (~node4(s18)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1415, 22, 2368])).
% 8.28/5.80 tff(2412,plain,
% 8.28/5.80 (xuntil6(s18) | (~until5(s18))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1422, 36, 2411])).
% 8.28/5.80 tff(2413,plain,
% 8.28/5.80 (xuntil6(s18)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2412, 2410])).
% 8.28/5.80 tff(2414,plain,
% 8.28/5.80 (until5(s19)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1411, 2413])).
% 8.28/5.80 tff(2415,plain,
% 8.28/5.80 (~node4(s19)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1382, 22, 2367])).
% 8.28/5.80 tff(2416,plain,
% 8.28/5.80 (xuntil6(s19) | (~until5(s19))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1406, 36, 2415])).
% 8.28/5.80 tff(2417,plain,
% 8.28/5.80 (xuntil6(s19)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2416, 2414])).
% 8.28/5.80 tff(2418,plain,
% 8.28/5.80 (until5(s20)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1399, 2417])).
% 8.28/5.80 tff(2419,plain,
% 8.28/5.80 (~node4(s20)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1386, 22, 2366])).
% 8.28/5.80 tff(2420,plain,
% 8.28/5.80 (xuntil6(s20) | (~until5(s20))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1393, 36, 2419])).
% 8.28/5.80 tff(2421,plain,
% 8.28/5.80 (xuntil6(s20)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2420, 2418])).
% 8.28/5.80 tff(2422,plain,
% 8.28/5.80 (until5(s21)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1586, 2421])).
% 8.28/5.80 tff(2423,plain,
% 8.28/5.80 (~node4(s21)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1649, 22, 2365])).
% 8.28/5.80 tff(2424,plain,
% 8.28/5.80 (xuntil6(s21) | (~until5(s21))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1656, 36, 2423])).
% 8.28/5.80 tff(2425,plain,
% 8.28/5.80 (xuntil6(s21)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2424, 2422])).
% 8.28/5.80 tff(2426,plain,
% 8.28/5.80 (until5(s22)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1636, 2425])).
% 8.28/5.80 tff(2427,plain,
% 8.28/5.80 (~node4(s22)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1604, 22, 2364])).
% 8.28/5.80 tff(2428,plain,
% 8.28/5.80 (xuntil6(s22) | (~until5(s22))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1628, 36, 2427])).
% 8.28/5.80 tff(2429,plain,
% 8.28/5.80 (xuntil6(s22)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2428, 2426])).
% 8.28/5.80 tff(2430,plain,
% 8.28/5.80 (until5(s23)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1621, 2429])).
% 8.28/5.80 tff(2431,plain,
% 8.28/5.80 (~node4(s23)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1608, 22, 2363])).
% 8.28/5.80 tff(2432,plain,
% 8.28/5.80 (xuntil6(s23) | (~until5(s23))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1615, 36, 2431])).
% 8.28/5.80 tff(2433,plain,
% 8.28/5.80 (xuntil6(s23)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2432, 2430])).
% 8.28/5.80 tff(2434,plain,
% 8.28/5.80 (until5(s24)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1830, 2433])).
% 8.28/5.80 tff(2435,plain,
% 8.28/5.80 (~node4(s24)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1848, 22, 2362])).
% 8.28/5.80 tff(2436,plain,
% 8.28/5.80 (xuntil6(s24) | (~until5(s24))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1872, 36, 2435])).
% 8.28/5.80 tff(2437,plain,
% 8.28/5.80 (xuntil6(s24)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2436, 2434])).
% 8.28/5.80 tff(2438,plain,
% 8.28/5.80 (until5(s25)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1865, 2437])).
% 8.28/5.80 tff(2439,plain,
% 8.28/5.80 (~node4(s25)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1852, 22, 2361])).
% 8.28/5.80 tff(2440,plain,
% 8.28/5.80 (xuntil6(s25) | (~until5(s25))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1859, 36, 2439])).
% 8.28/5.80 tff(2441,plain,
% 8.28/5.80 (xuntil6(s25)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2440, 2438])).
% 8.28/5.80 tff(2442,plain,
% 8.28/5.80 (until5(s26)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2024, 2441])).
% 8.28/5.80 tff(2443,plain,
% 8.28/5.80 (xuntil6(s26)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2331, 2442])).
% 8.28/5.80 tff(2444,plain,
% 8.28/5.80 (until5(s27)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2104, 2443])).
% 8.28/5.80 tff(2445,plain,
% 8.28/5.80 (~until5(s28)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2299, 2442, 2027])).
% 8.28/5.80 tff(2446,plain,
% 8.28/5.80 (~xuntil6(s27)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2075, 2445])).
% 8.28/5.80 tff(2447,plain,
% 8.28/5.80 (~node4(s27)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2088, 22, 2359])).
% 8.28/5.80 tff(2448,plain,
% 8.28/5.80 (xuntil6(s27) | (~until5(s27))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2095, 36, 2447])).
% 8.28/5.80 tff(2449,plain,
% 8.28/5.80 ($false),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2448, 2446, 2444])).
% 8.28/5.80 tff(2450,plain,(always3(s27) | xuntil6(s29)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.80 tff(2451,plain,
% 8.28/5.80 (always3(s27)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2450, 2027])).
% 8.28/5.80 tff(2452,plain,
% 8.28/5.80 (always3(s28)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2084, 2451])).
% 8.28/5.80 tff(2453,plain,
% 8.28/5.80 ($false),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2293, 170, 2452, 2358])).
% 8.28/5.80 tff(2454,plain,(xuntil6(s29) | (~until5(s26))), inference(lemma,lemma(discharge,[]))).
% 8.28/5.80 tff(2455,plain,
% 8.28/5.80 (xuntil6(s29)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2454, 2025])).
% 8.28/5.80 tff(2456,plain,
% 8.28/5.80 (((~![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))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2457,plain,
% 8.28/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s29, s30)) | (~xuntil6(s29)) | until5(s30))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(2458,plain,
% 8.28/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s29, s30)) | (~xuntil6(s29)) | until5(s30)),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[2457, 2456])).
% 8.28/5.80 tff(2459,plain,
% 8.28/5.80 ((~xuntil6(s29)) | until5(s30)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2458, 2220, 141])).
% 8.28/5.80 tff(2460,plain,
% 8.28/5.80 (until5(s30)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2459, 2455])).
% 8.28/5.80 tff(2461,assumption,(~xuntil6(s31)), introduced(assumption)).
% 8.28/5.80 tff(2462,assumption,(~always3(s31)), introduced(assumption)).
% 8.28/5.80 tff(2463,plain,
% 8.28/5.80 (succ(s30, s31) <=> succ(s30, s31)),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2464,axiom,(succ(s30, s31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound31')).
% 8.28/5.80 tff(2465,plain,
% 8.28/5.80 (succ(s30, s31)),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[2464, 2463])).
% 8.28/5.80 tff(2466,plain,
% 8.28/5.80 (((~![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))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2467,plain,
% 8.28/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s30, s31)) | trans(s30, s31))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(2468,plain,
% 8.28/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s30, s31)) | trans(s30, s31)),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[2467, 2466])).
% 8.28/5.80 tff(2469,plain,
% 8.28/5.80 (trans(s30, s31)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2468, 2465, 51])).
% 8.28/5.80 tff(2470,plain,
% 8.28/5.80 (((~![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))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2471,plain,
% 8.28/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s30, s31)) | (~always3(s30)) | always3(s31))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(2472,plain,
% 8.28/5.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s30, s31)) | (~always3(s30)) | always3(s31)),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[2471, 2470])).
% 8.28/5.80 tff(2473,plain,
% 8.28/5.80 ((~always3(s30)) | always3(s31)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2472, 68, 2469])).
% 8.28/5.80 tff(2474,plain,
% 8.28/5.80 (~always3(s30)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2473, 2462])).
% 8.28/5.80 tff(2475,plain,
% 8.28/5.80 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s30) | (~node4(s30)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s30) | (~node4(s30)))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2476,plain,
% 8.28/5.80 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s30) | (~node4(s30)))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(2477,plain,
% 8.28/5.80 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s30) | (~node4(s30))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[2476, 2475])).
% 8.28/5.80 tff(2478,plain,
% 8.28/5.80 (~node4(s30)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2477, 22, 2474])).
% 8.28/5.80 tff(2479,plain,
% 8.28/5.80 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s31) | (~node4(s31)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s31) | (~node4(s31)))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2480,plain,
% 8.28/5.80 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s31) | (~node4(s31)))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(2481,plain,
% 8.28/5.80 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s31) | (~node4(s31))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[2480, 2479])).
% 8.28/5.80 tff(2482,plain,
% 8.28/5.80 (~node4(s31)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2481, 22, 2462])).
% 8.28/5.80 tff(2483,plain,
% 8.28/5.80 (((~![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)))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2484,plain,
% 8.28/5.80 ((node4(s31) | (~until5(s31)) | xuntil6(s31)) <=> (xuntil6(s31) | node4(s31) | (~until5(s31)))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2485,plain,
% 8.28/5.80 (((~![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))))),
% 8.28/5.80 inference(monotonicity,[status(thm)],[2484])).
% 8.28/5.80 tff(2486,plain,
% 8.28/5.80 (((~![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)))),
% 8.28/5.80 inference(transitivity,[status(thm)],[2485, 2483])).
% 8.28/5.80 tff(2487,plain,
% 8.28/5.80 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s31) | (~until5(s31)) | xuntil6(s31))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(2488,plain,
% 8.28/5.80 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s31) | node4(s31) | (~until5(s31))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[2487, 2486])).
% 8.28/5.80 tff(2489,plain,
% 8.28/5.80 (node4(s31) | (~until5(s31))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2488, 36, 2461])).
% 8.28/5.80 tff(2490,plain,
% 8.28/5.80 (~until5(s31)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2489, 2482])).
% 8.28/5.80 tff(2491,plain,
% 8.28/5.80 (((~![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))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2492,plain,
% 8.28/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s30, s31)) | (~xuntil6(s30)) | until5(s31))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(2493,plain,
% 8.28/5.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s30, s31)) | (~xuntil6(s30)) | until5(s31)),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[2492, 2491])).
% 8.28/5.80 tff(2494,plain,
% 8.28/5.80 ((~xuntil6(s30)) | until5(s31)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2493, 2465, 141])).
% 8.28/5.80 tff(2495,plain,
% 8.28/5.80 (~xuntil6(s30)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2494, 2490])).
% 8.28/5.80 tff(2496,plain,
% 8.28/5.80 (((~![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)))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2497,plain,
% 8.28/5.80 ((node4(s30) | (~until5(s30)) | xuntil6(s30)) <=> (xuntil6(s30) | node4(s30) | (~until5(s30)))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(2498,plain,
% 8.28/5.80 (((~![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))))),
% 8.28/5.80 inference(monotonicity,[status(thm)],[2497])).
% 8.28/5.80 tff(2499,plain,
% 8.28/5.80 (((~![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)))),
% 8.28/5.80 inference(transitivity,[status(thm)],[2498, 2496])).
% 8.28/5.80 tff(2500,plain,
% 8.28/5.80 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s30) | (~until5(s30)) | xuntil6(s30))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(2501,plain,
% 8.28/5.80 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s30) | node4(s30) | (~until5(s30))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[2500, 2499])).
% 8.28/5.80 tff(2502,plain,
% 8.28/5.80 (~until5(s30)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2501, 36, 2495, 2478])).
% 8.28/5.80 tff(2503,plain,
% 8.28/5.80 (~xuntil6(s29)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2459, 2502])).
% 8.28/5.80 tff(2504,plain,
% 8.28/5.80 (~always3(s29)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2228, 2474])).
% 8.28/5.80 tff(2505,plain,
% 8.28/5.80 (~node4(s29)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2047, 22, 2504])).
% 8.28/5.80 tff(2506,plain,
% 8.28/5.80 (xuntil6(s29) | (~until5(s29))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2054, 36, 2505])).
% 8.28/5.80 tff(2507,plain,
% 8.28/5.80 (~until5(s29)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2506, 2503])).
% 8.28/5.80 tff(2508,plain,
% 8.28/5.80 (~xuntil6(s28)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2060, 2507])).
% 8.28/5.80 tff(2509,plain,
% 8.28/5.80 (~always3(s28)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2039, 2504])).
% 8.28/5.80 tff(2510,plain,
% 8.28/5.80 (~node4(s28)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2043, 22, 2509])).
% 8.28/5.80 tff(2511,plain,
% 8.28/5.80 (xuntil6(s28) | (~until5(s28))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2067, 36, 2510])).
% 8.28/5.80 tff(2512,plain,
% 8.28/5.80 (~until5(s28)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2511, 2508])).
% 8.28/5.80 tff(2513,plain,
% 8.28/5.80 (~xuntil6(s27)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2075, 2512])).
% 8.28/5.80 tff(2514,plain,
% 8.28/5.80 (~always3(s27)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2084, 2509])).
% 8.28/5.80 tff(2515,plain,
% 8.28/5.80 (~node4(s27)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2088, 22, 2514])).
% 8.28/5.80 tff(2516,plain,
% 8.28/5.80 (xuntil6(s27) | (~until5(s27))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2095, 36, 2515])).
% 8.28/5.80 tff(2517,plain,
% 8.28/5.80 (~until5(s27)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2516, 2513])).
% 8.28/5.80 tff(2518,plain,
% 8.28/5.80 (~xuntil6(s26)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2104, 2517])).
% 8.28/5.80 tff(2519,plain,
% 8.28/5.80 (~always3(s26)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2113, 2514])).
% 8.28/5.80 tff(2520,plain,
% 8.28/5.80 (~node4(s26)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2117, 22, 2519])).
% 8.28/5.80 tff(2521,plain,
% 8.28/5.80 (xuntil6(s26) | (~until5(s26))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2124, 36, 2520])).
% 8.28/5.80 tff(2522,plain,
% 8.28/5.80 (~until5(s26)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2521, 2518])).
% 8.28/5.80 tff(2523,plain,
% 8.28/5.80 (~xuntil6(s25)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2024, 2522])).
% 8.28/5.80 tff(2524,plain,
% 8.28/5.80 (~always3(s25)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1958, 2519])).
% 8.28/5.80 tff(2525,plain,
% 8.28/5.80 (~node4(s25)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1852, 22, 2524])).
% 8.28/5.80 tff(2526,plain,
% 8.28/5.80 (xuntil6(s25) | (~until5(s25))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1859, 36, 2525])).
% 8.28/5.80 tff(2527,plain,
% 8.28/5.80 (~until5(s25)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2526, 2523])).
% 8.28/5.80 tff(2528,plain,
% 8.28/5.80 (~xuntil6(s24)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1865, 2527])).
% 8.28/5.80 tff(2529,plain,
% 8.28/5.80 (~always3(s24)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1844, 2524])).
% 8.28/5.80 tff(2530,plain,
% 8.28/5.80 (~node4(s24)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1848, 22, 2529])).
% 8.28/5.80 tff(2531,plain,
% 8.28/5.80 (xuntil6(s24) | (~until5(s24))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1872, 36, 2530])).
% 8.28/5.80 tff(2532,plain,
% 8.28/5.80 (~until5(s24)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2531, 2528])).
% 8.28/5.80 tff(2533,plain,
% 8.28/5.80 (~xuntil6(s23)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1830, 2532])).
% 8.28/5.80 tff(2534,plain,
% 8.28/5.80 (~always3(s23)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1728, 2529])).
% 8.28/5.80 tff(2535,plain,
% 8.28/5.80 (~node4(s23)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1608, 22, 2534])).
% 8.28/5.80 tff(2536,plain,
% 8.28/5.80 (xuntil6(s23) | (~until5(s23))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1615, 36, 2535])).
% 8.28/5.80 tff(2537,plain,
% 8.28/5.80 (~until5(s23)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2536, 2533])).
% 8.28/5.80 tff(2538,plain,
% 8.28/5.80 (~xuntil6(s22)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1621, 2537])).
% 8.28/5.80 tff(2539,plain,
% 8.28/5.80 (~always3(s22)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1600, 2534])).
% 8.28/5.80 tff(2540,plain,
% 8.28/5.80 (~node4(s22)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1604, 22, 2539])).
% 8.28/5.80 tff(2541,plain,
% 8.28/5.80 (xuntil6(s22) | (~until5(s22))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1628, 36, 2540])).
% 8.28/5.80 tff(2542,plain,
% 8.28/5.80 (~until5(s22)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2541, 2538])).
% 8.28/5.80 tff(2543,plain,
% 8.28/5.80 (~xuntil6(s21)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1636, 2542])).
% 8.28/5.80 tff(2544,plain,
% 8.28/5.80 (~always3(s21)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1645, 2539])).
% 8.28/5.80 tff(2545,plain,
% 8.28/5.80 (~node4(s21)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1649, 22, 2544])).
% 8.28/5.80 tff(2546,plain,
% 8.28/5.80 (xuntil6(s21) | (~until5(s21))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1656, 36, 2545])).
% 8.28/5.80 tff(2547,plain,
% 8.28/5.80 (~until5(s21)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2546, 2543])).
% 8.28/5.80 tff(2548,plain,
% 8.28/5.80 (~always3(s20)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1480, 2544])).
% 8.28/5.80 tff(2549,plain,
% 8.28/5.80 (~always3(s19)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1363, 2548])).
% 8.28/5.80 tff(2550,plain,
% 8.28/5.80 (~always3(s18)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1375, 2549])).
% 8.28/5.80 tff(2551,plain,
% 8.28/5.80 (~always3(s17)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1283, 2550])).
% 8.28/5.80 tff(2552,plain,
% 8.28/5.80 (~always3(s16)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1205, 2551])).
% 8.28/5.80 tff(2553,plain,
% 8.28/5.80 (~always3(s15)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1125, 2552])).
% 8.28/5.80 tff(2554,plain,
% 8.28/5.80 (~always3(s14)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[1015, 2553])).
% 8.28/5.80 tff(2555,plain,
% 8.28/5.80 (~always3(s13)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[966, 2554])).
% 8.28/5.80 tff(2556,plain,
% 8.28/5.80 (~always3(s12)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[826, 2555])).
% 8.28/5.80 tff(2557,plain,
% 8.28/5.80 (~always3(s11)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[761, 2556])).
% 8.28/5.80 tff(2558,plain,
% 8.28/5.80 (~always3(s10)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[788, 2557])).
% 8.28/5.80 tff(2559,plain,
% 8.28/5.80 (~always3(s9)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[425, 2558])).
% 8.28/5.80 tff(2560,plain,
% 8.28/5.80 (~node4(s9)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[25, 22, 2559])).
% 8.28/5.80 tff(2561,plain,
% 8.28/5.80 (~always3(s8)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[72, 2559])).
% 8.28/5.80 tff(2562,plain,
% 8.28/5.80 (~node4(s8)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[76, 22, 2561])).
% 8.28/5.80 tff(2563,plain,
% 8.28/5.80 (~always3(s7)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[88, 2561])).
% 8.28/5.80 tff(2564,plain,
% 8.28/5.80 (xuntil6(s7)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[386, 2563])).
% 8.28/5.80 tff(2565,plain,
% 8.28/5.80 (until5(s8)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[391, 2564])).
% 8.28/5.80 tff(2566,plain,
% 8.28/5.80 (xuntil6(s8) | node4(s8)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[398, 36, 2565])).
% 8.28/5.80 tff(2567,plain,
% 8.28/5.80 (xuntil6(s8)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[2566, 2562])).
% 8.28/5.80 tff(2568,plain,
% 8.28/5.80 (until5(s9)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[404, 2567])).
% 8.28/5.80 tff(2569,plain,
% 8.28/5.80 (xuntil6(s9)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[42, 36, 2568, 2560])).
% 8.28/5.80 tff(2570,plain,
% 8.28/5.80 (until5(s10)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[733, 2569])).
% 8.28/5.80 tff(2571,plain,
% 8.28/5.80 (xuntil6(s12)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[814, 2570, 2556])).
% 8.28/5.80 tff(2572,plain,
% 8.28/5.80 (until5(s13)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[921, 2571])).
% 8.28/5.80 tff(2573,plain,
% 8.28/5.80 (~node4(s13)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[932, 22, 2555])).
% 8.28/5.81 tff(2574,plain,
% 8.28/5.81 (xuntil6(s13) | (~until5(s13))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[939, 36, 2573])).
% 8.28/5.81 tff(2575,plain,
% 8.28/5.81 (xuntil6(s13)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2574, 2572])).
% 8.28/5.81 tff(2576,plain,
% 8.28/5.81 (until5(s14)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1001, 2575])).
% 8.28/5.81 tff(2577,plain,
% 8.28/5.81 (~node4(s14)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1032, 22, 2554])).
% 8.28/5.81 tff(2578,plain,
% 8.28/5.81 (xuntil6(s14) | (~until5(s14))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1056, 36, 2577])).
% 8.28/5.81 tff(2579,plain,
% 8.28/5.81 (xuntil6(s14)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2578, 2576])).
% 8.28/5.81 tff(2580,plain,
% 8.28/5.81 (until5(s15)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1049, 2579])).
% 8.28/5.81 tff(2581,plain,
% 8.28/5.81 (~node4(s15)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1036, 22, 2553])).
% 8.28/5.81 tff(2582,plain,
% 8.28/5.81 (xuntil6(s15) | (~until5(s15))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1043, 36, 2581])).
% 8.28/5.81 tff(2583,plain,
% 8.28/5.81 (xuntil6(s15)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2582, 2580])).
% 8.28/5.81 tff(2584,plain,
% 8.28/5.81 (until5(s16)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1191, 2583])).
% 8.28/5.81 tff(2585,plain,
% 8.28/5.81 (~node4(s16)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1210, 22, 2552])).
% 8.28/5.81 tff(2586,plain,
% 8.28/5.81 (xuntil6(s16) | (~until5(s16))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1234, 36, 2585])).
% 8.28/5.81 tff(2587,plain,
% 8.28/5.81 (xuntil6(s16)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2586, 2584])).
% 8.28/5.81 tff(2588,plain,
% 8.28/5.81 (until5(s17)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1227, 2587])).
% 8.28/5.81 tff(2589,plain,
% 8.28/5.81 (~node4(s17)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1214, 22, 2551])).
% 8.28/5.81 tff(2590,plain,
% 8.28/5.81 (xuntil6(s17) | (~until5(s17))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1221, 36, 2589])).
% 8.28/5.81 tff(2591,plain,
% 8.28/5.81 (xuntil6(s17)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2590, 2588])).
% 8.28/5.81 tff(2592,plain,
% 8.28/5.81 (until5(s18)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1349, 2591])).
% 8.28/5.81 tff(2593,plain,
% 8.28/5.81 (~node4(s18)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1415, 22, 2550])).
% 8.28/5.81 tff(2594,plain,
% 8.28/5.81 (xuntil6(s18) | (~until5(s18))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1422, 36, 2593])).
% 8.28/5.81 tff(2595,plain,
% 8.28/5.81 (xuntil6(s18)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2594, 2592])).
% 8.28/5.81 tff(2596,plain,
% 8.28/5.81 (until5(s19)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1411, 2595])).
% 8.28/5.81 tff(2597,plain,
% 8.28/5.81 (~node4(s19)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1382, 22, 2549])).
% 8.28/5.81 tff(2598,plain,
% 8.28/5.81 (xuntil6(s19) | (~until5(s19))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1406, 36, 2597])).
% 8.28/5.81 tff(2599,plain,
% 8.28/5.81 (xuntil6(s19)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2598, 2596])).
% 8.28/5.81 tff(2600,plain,
% 8.28/5.81 (until5(s20)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1399, 2599])).
% 8.28/5.81 tff(2601,plain,
% 8.28/5.81 (~node4(s20)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1386, 22, 2548])).
% 8.28/5.81 tff(2602,plain,
% 8.28/5.81 (xuntil6(s20) | (~until5(s20))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1393, 36, 2601])).
% 8.28/5.81 tff(2603,plain,
% 8.28/5.81 (xuntil6(s20)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2602, 2600])).
% 8.28/5.81 tff(2604,plain,
% 8.28/5.81 ($false),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1586, 2603, 2547])).
% 8.28/5.81 tff(2605,plain,(always3(s31) | xuntil6(s31)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.81 tff(2606,plain,
% 8.28/5.81 (always3(s31)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2605, 2461])).
% 8.28/5.81 tff(2607,plain,
% 8.28/5.81 (succ(s31, s32) <=> succ(s31, s32)),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2608,axiom,(succ(s31, s32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound32')).
% 8.28/5.81 tff(2609,plain,
% 8.28/5.81 (succ(s31, s32)),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[2608, 2607])).
% 8.28/5.81 tff(2610,plain,
% 8.28/5.81 (((~![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))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2611,plain,
% 8.28/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s31, s32)) | trans(s31, s32))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(2612,plain,
% 8.28/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s31, s32)) | trans(s31, s32)),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[2611, 2610])).
% 8.28/5.81 tff(2613,plain,
% 8.28/5.81 (trans(s31, s32)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2612, 2609, 51])).
% 8.28/5.81 tff(2614,plain,
% 8.28/5.81 (((~![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))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2615,plain,
% 8.28/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s31, s32)) | (~always3(s31)) | always3(s32))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(2616,plain,
% 8.28/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s31, s32)) | (~always3(s31)) | always3(s32)),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[2615, 2614])).
% 8.28/5.81 tff(2617,plain,
% 8.28/5.81 ((~always3(s31)) | always3(s32)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2616, 68, 2613])).
% 8.28/5.81 tff(2618,plain,
% 8.28/5.81 (always3(s32)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2617, 2606])).
% 8.28/5.81 tff(2619,plain,
% 8.28/5.81 (((~![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)))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2620,plain,
% 8.28/5.81 (((~m_main_v_state(s32, c_busy)) | (~always3(s32))) <=> ((~always3(s32)) | (~m_main_v_state(s32, c_busy)))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2621,plain,
% 8.28/5.81 (((~![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))))),
% 8.28/5.81 inference(monotonicity,[status(thm)],[2620])).
% 8.28/5.81 tff(2622,plain,
% 8.28/5.81 (((~![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)))),
% 8.28/5.81 inference(transitivity,[status(thm)],[2621, 2619])).
% 8.28/5.81 tff(2623,plain,
% 8.28/5.81 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s32, c_busy)) | (~always3(s32)))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(2624,plain,
% 8.28/5.81 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s32)) | (~m_main_v_state(s32, c_busy))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[2623, 2622])).
% 8.28/5.81 tff(2625,plain,
% 8.28/5.81 (~m_main_v_state(s32, c_busy)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2624, 170, 2618])).
% 8.28/5.81 tff(2626,plain,
% 8.28/5.81 (((~![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)))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2627,plain,
% 8.28/5.81 (((~m_main_v_state(s31, c_busy)) | (~always3(s31))) <=> ((~always3(s31)) | (~m_main_v_state(s31, c_busy)))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2628,plain,
% 8.28/5.81 (((~![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))))),
% 8.28/5.81 inference(monotonicity,[status(thm)],[2627])).
% 8.28/5.81 tff(2629,plain,
% 8.28/5.81 (((~![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)))),
% 8.28/5.81 inference(transitivity,[status(thm)],[2628, 2626])).
% 8.28/5.81 tff(2630,plain,
% 8.28/5.81 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s31, c_busy)) | (~always3(s31)))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(2631,plain,
% 8.28/5.81 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s31)) | (~m_main_v_state(s31, c_busy))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[2630, 2629])).
% 8.28/5.81 tff(2632,plain,
% 8.28/5.81 (~m_main_v_state(s31, c_busy)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2631, 170, 2606])).
% 8.28/5.81 tff(2633,plain,
% 8.28/5.81 (((~![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))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2634,plain,
% 8.28/5.81 ((~![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))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(2635,plain,
% 8.28/5.81 ((~![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)),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[2634, 2633])).
% 8.28/5.81 tff(2636,plain,
% 8.28/5.81 (m_main_v_state(s31, c_ready)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2635, 213, 2632])).
% 8.28/5.81 tff(2637,assumption,(~m_main_v_state(s31, c_busy)), introduced(assumption)).
% 8.28/5.81 tff(2638,assumption,(node4(s30)), introduced(assumption)).
% 8.28/5.81 tff(2639,plain,
% 8.28/5.81 (((~![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)))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2640,plain,
% 8.28/5.81 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s30) | (~node4(s30)))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(2641,plain,
% 8.28/5.81 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s30) | (~node4(s30))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[2640, 2639])).
% 8.28/5.81 tff(2642,plain,
% 8.28/5.81 (m_main_v_request(s30)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2641, 154, 2638])).
% 8.28/5.81 tff(2643,plain,
% 8.28/5.81 (((~![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))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2644,plain,
% 8.28/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s30, s31)) | node2(s30, s31))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(2645,plain,
% 8.28/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s30, s31)) | node2(s30, s31)),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[2644, 2643])).
% 8.28/5.81 tff(2646,plain,
% 8.28/5.81 (node2(s30, s31)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2645, 7, 2469])).
% 8.28/5.81 tff(2647,plain,
% 8.28/5.81 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2648,plain,
% 8.28/5.81 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(2649,plain,
% 8.28/5.81 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[2648, 2647])).
% 8.28/5.81 tff(2650,plain,
% 8.28/5.81 ((~m_main_v_state(s30, c_ready)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s30))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2649, 191, 2646])).
% 8.28/5.81 tff(2651,plain,
% 8.28/5.81 (~m_main_v_state(s30, c_ready)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2650, 2642, 2637])).
% 8.28/5.81 tff(2652,plain,
% 8.28/5.81 (always3(s30)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2477, 22, 2638])).
% 8.28/5.81 tff(2653,plain,
% 8.28/5.81 (~m_main_v_state(s30, c_busy)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2235, 170, 2652])).
% 8.28/5.81 tff(2654,plain,
% 8.28/5.81 (((~![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))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2655,plain,
% 8.28/5.81 ((~![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))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(2656,plain,
% 8.28/5.81 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s30, c_busy) | m_main_v_state(s30, c_ready)),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[2655, 2654])).
% 8.28/5.81 tff(2657,plain,
% 8.28/5.81 ($false),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2656, 213, 2653, 2651])).
% 8.28/5.81 tff(2658,plain,((~node4(s30)) | m_main_v_state(s31, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.81 tff(2659,plain,
% 8.28/5.81 (~node4(s30)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2658, 2632])).
% 8.28/5.81 tff(2660,assumption,(until5(s30)), introduced(assumption)).
% 8.28/5.81 tff(2661,plain,
% 8.28/5.81 (xuntil6(s30) | node4(s30)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2501, 36, 2660])).
% 8.28/5.81 tff(2662,plain,
% 8.28/5.81 (xuntil6(s30)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2661, 2659])).
% 8.28/5.81 tff(2663,plain,
% 8.28/5.81 (until5(s31)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2494, 2662])).
% 8.28/5.81 tff(2664,plain,
% 8.28/5.81 (node4(s31)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2489, 2663])).
% 8.28/5.81 tff(2665,plain,
% 8.28/5.81 (((~![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)))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2666,plain,
% 8.28/5.81 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s31) | (~node4(s31)))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(2667,plain,
% 8.28/5.81 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s31) | (~node4(s31))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[2666, 2665])).
% 8.28/5.81 tff(2668,plain,
% 8.28/5.81 (m_main_v_request(s31)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2667, 154, 2664])).
% 8.28/5.81 tff(2669,plain,
% 8.28/5.81 (((~![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))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2670,plain,
% 8.28/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s31, s32)) | node2(s31, s32))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(2671,plain,
% 8.28/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s31, s32)) | node2(s31, s32)),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[2670, 2669])).
% 8.28/5.81 tff(2672,plain,
% 8.28/5.81 (node2(s31, s32)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2671, 7, 2613])).
% 8.28/5.81 tff(2673,plain,
% 8.28/5.81 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2674,plain,
% 8.28/5.81 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(2675,plain,
% 8.28/5.81 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s31, c_ready)) | (~node2(s31, s32)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s31))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[2674, 2673])).
% 8.28/5.81 tff(2676,plain,
% 8.28/5.81 ((~m_main_v_state(s31, c_ready)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s31))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2675, 191, 2672])).
% 8.28/5.81 tff(2677,plain,
% 8.28/5.81 ($false),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2676, 2668, 2636, 2625])).
% 8.28/5.81 tff(2678,plain,(xuntil6(s31) | (~until5(s30))), inference(lemma,lemma(discharge,[]))).
% 8.28/5.81 tff(2679,plain,
% 8.28/5.81 (xuntil6(s31)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2678, 2460])).
% 8.28/5.81 tff(2680,plain,
% 8.28/5.81 (((~![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))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2681,plain,
% 8.28/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s31, s32)) | (~xuntil6(s31)) | until5(s32))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(2682,plain,
% 8.28/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s31, s32)) | (~xuntil6(s31)) | until5(s32)),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[2681, 2680])).
% 8.28/5.81 tff(2683,plain,
% 8.28/5.81 ((~xuntil6(s31)) | until5(s32)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2682, 2609, 141])).
% 8.28/5.81 tff(2684,plain,
% 8.28/5.81 (until5(s32)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2683, 2679])).
% 8.28/5.81 tff(2685,assumption,(~xuntil6(s33)), introduced(assumption)).
% 8.28/5.81 tff(2686,assumption,(~always3(s33)), introduced(assumption)).
% 8.28/5.81 tff(2687,plain,
% 8.28/5.81 (succ(s32, s33) <=> succ(s32, s33)),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2688,axiom,(succ(s32, s33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound33')).
% 8.28/5.81 tff(2689,plain,
% 8.28/5.81 (succ(s32, s33)),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[2688, 2687])).
% 8.28/5.81 tff(2690,plain,
% 8.28/5.81 (((~![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))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2691,plain,
% 8.28/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s32, s33)) | trans(s32, s33))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(2692,plain,
% 8.28/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s32, s33)) | trans(s32, s33)),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[2691, 2690])).
% 8.28/5.81 tff(2693,plain,
% 8.28/5.81 (trans(s32, s33)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2692, 2689, 51])).
% 8.28/5.81 tff(2694,plain,
% 8.28/5.81 (((~![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))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2695,plain,
% 8.28/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s32, s33)) | (~always3(s32)) | always3(s33))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(2696,plain,
% 8.28/5.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s32, s33)) | (~always3(s32)) | always3(s33)),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[2695, 2694])).
% 8.28/5.81 tff(2697,plain,
% 8.28/5.81 ((~always3(s32)) | always3(s33)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2696, 68, 2693])).
% 8.28/5.81 tff(2698,plain,
% 8.28/5.81 (~always3(s32)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2697, 2686])).
% 8.28/5.81 tff(2699,plain,
% 8.28/5.81 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s32) | (~node4(s32)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s32) | (~node4(s32)))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2700,plain,
% 8.28/5.81 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s32) | (~node4(s32)))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(2701,plain,
% 8.28/5.81 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s32) | (~node4(s32))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[2700, 2699])).
% 8.28/5.81 tff(2702,plain,
% 8.28/5.81 (~node4(s32)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2701, 22, 2698])).
% 8.28/5.81 tff(2703,plain,
% 8.28/5.81 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s33) | (~node4(s33)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s33) | (~node4(s33)))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2704,plain,
% 8.28/5.81 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s33) | (~node4(s33)))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(2705,plain,
% 8.28/5.81 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s33) | (~node4(s33))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[2704, 2703])).
% 8.28/5.81 tff(2706,plain,
% 8.28/5.81 (~node4(s33)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2705, 22, 2686])).
% 8.28/5.81 tff(2707,plain,
% 8.28/5.81 (((~![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)))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2708,plain,
% 8.28/5.81 ((node4(s33) | (~until5(s33)) | xuntil6(s33)) <=> (xuntil6(s33) | node4(s33) | (~until5(s33)))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2709,plain,
% 8.28/5.81 (((~![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))))),
% 8.28/5.81 inference(monotonicity,[status(thm)],[2708])).
% 8.28/5.81 tff(2710,plain,
% 8.28/5.81 (((~![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)))),
% 8.28/5.81 inference(transitivity,[status(thm)],[2709, 2707])).
% 8.28/5.81 tff(2711,plain,
% 8.28/5.81 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s33) | (~until5(s33)) | xuntil6(s33))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(2712,plain,
% 8.28/5.81 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s33) | node4(s33) | (~until5(s33))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[2711, 2710])).
% 8.28/5.81 tff(2713,plain,
% 8.28/5.81 (node4(s33) | (~until5(s33))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2712, 36, 2685])).
% 8.28/5.81 tff(2714,plain,
% 8.28/5.81 (~until5(s33)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2713, 2706])).
% 8.28/5.81 tff(2715,plain,
% 8.28/5.81 (((~![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))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2716,plain,
% 8.28/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s32, s33)) | (~xuntil6(s32)) | until5(s33))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(2717,plain,
% 8.28/5.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s32, s33)) | (~xuntil6(s32)) | until5(s33)),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[2716, 2715])).
% 8.28/5.81 tff(2718,plain,
% 8.28/5.81 ((~xuntil6(s32)) | until5(s33)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2717, 2689, 141])).
% 8.28/5.81 tff(2719,plain,
% 8.28/5.81 (~xuntil6(s32)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2718, 2714])).
% 8.28/5.81 tff(2720,plain,
% 8.28/5.81 (((~![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)))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2721,plain,
% 8.28/5.81 ((node4(s32) | (~until5(s32)) | xuntil6(s32)) <=> (xuntil6(s32) | node4(s32) | (~until5(s32)))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2722,plain,
% 8.28/5.81 (((~![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))))),
% 8.28/5.81 inference(monotonicity,[status(thm)],[2721])).
% 8.28/5.81 tff(2723,plain,
% 8.28/5.81 (((~![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)))),
% 8.28/5.81 inference(transitivity,[status(thm)],[2722, 2720])).
% 8.28/5.81 tff(2724,plain,
% 8.28/5.81 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s32) | (~until5(s32)) | xuntil6(s32))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(2725,plain,
% 8.28/5.81 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s32) | node4(s32) | (~until5(s32))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[2724, 2723])).
% 8.28/5.81 tff(2726,plain,
% 8.28/5.81 (~until5(s32)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2725, 36, 2719, 2702])).
% 8.28/5.81 tff(2727,plain,
% 8.28/5.81 (~xuntil6(s31)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2683, 2726])).
% 8.28/5.81 tff(2728,plain,
% 8.28/5.81 (~always3(s31)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2617, 2698])).
% 8.28/5.81 tff(2729,plain,
% 8.28/5.81 (~node4(s31)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2481, 22, 2728])).
% 8.28/5.81 tff(2730,plain,
% 8.28/5.81 (xuntil6(s31) | (~until5(s31))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2488, 36, 2729])).
% 8.28/5.81 tff(2731,plain,
% 8.28/5.81 (~until5(s31)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2730, 2727])).
% 8.28/5.81 tff(2732,plain,
% 8.28/5.81 (~xuntil6(s30)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2494, 2731])).
% 8.28/5.81 tff(2733,plain,
% 8.28/5.81 (~always3(s30)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2473, 2728])).
% 8.28/5.81 tff(2734,plain,
% 8.28/5.81 (~node4(s30)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2477, 22, 2733])).
% 8.28/5.81 tff(2735,plain,
% 8.28/5.81 (xuntil6(s30) | (~until5(s30))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2501, 36, 2734])).
% 8.28/5.81 tff(2736,plain,
% 8.28/5.81 (~until5(s30)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2735, 2732])).
% 8.28/5.81 tff(2737,plain,
% 8.28/5.81 (~xuntil6(s29)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2459, 2736])).
% 8.28/5.81 tff(2738,plain,
% 8.28/5.81 (~always3(s29)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2228, 2733])).
% 8.28/5.81 tff(2739,plain,
% 8.28/5.81 (~node4(s29)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2047, 22, 2738])).
% 8.28/5.81 tff(2740,plain,
% 8.28/5.81 (xuntil6(s29) | (~until5(s29))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2054, 36, 2739])).
% 8.28/5.81 tff(2741,plain,
% 8.28/5.81 (~until5(s29)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2740, 2737])).
% 8.28/5.81 tff(2742,plain,
% 8.28/5.81 (~xuntil6(s28)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2060, 2741])).
% 8.28/5.81 tff(2743,plain,
% 8.28/5.81 (~always3(s28)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2039, 2738])).
% 8.28/5.81 tff(2744,plain,
% 8.28/5.81 (~node4(s28)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2043, 22, 2743])).
% 8.28/5.81 tff(2745,plain,
% 8.28/5.81 (xuntil6(s28) | (~until5(s28))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2067, 36, 2744])).
% 8.28/5.81 tff(2746,plain,
% 8.28/5.81 (~until5(s28)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2745, 2742])).
% 8.28/5.81 tff(2747,plain,
% 8.28/5.81 (~xuntil6(s27)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2075, 2746])).
% 8.28/5.81 tff(2748,plain,
% 8.28/5.81 (~always3(s27)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2084, 2743])).
% 8.28/5.81 tff(2749,plain,
% 8.28/5.81 (~node4(s27)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2088, 22, 2748])).
% 8.28/5.81 tff(2750,plain,
% 8.28/5.81 (xuntil6(s27) | (~until5(s27))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2095, 36, 2749])).
% 8.28/5.81 tff(2751,plain,
% 8.28/5.81 (~until5(s27)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2750, 2747])).
% 8.28/5.81 tff(2752,plain,
% 8.28/5.81 (~xuntil6(s26)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2104, 2751])).
% 8.28/5.81 tff(2753,plain,
% 8.28/5.81 (~always3(s26)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2113, 2748])).
% 8.28/5.81 tff(2754,plain,
% 8.28/5.81 (~node4(s26)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2117, 22, 2753])).
% 8.28/5.81 tff(2755,plain,
% 8.28/5.81 (xuntil6(s26) | (~until5(s26))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2124, 36, 2754])).
% 8.28/5.81 tff(2756,plain,
% 8.28/5.81 (~until5(s26)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2755, 2752])).
% 8.28/5.81 tff(2757,plain,
% 8.28/5.81 (~xuntil6(s25)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2024, 2756])).
% 8.28/5.81 tff(2758,plain,
% 8.28/5.81 (~always3(s25)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1958, 2753])).
% 8.28/5.81 tff(2759,plain,
% 8.28/5.81 (~node4(s25)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1852, 22, 2758])).
% 8.28/5.81 tff(2760,plain,
% 8.28/5.81 (xuntil6(s25) | (~until5(s25))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1859, 36, 2759])).
% 8.28/5.81 tff(2761,plain,
% 8.28/5.81 (~until5(s25)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2760, 2757])).
% 8.28/5.81 tff(2762,plain,
% 8.28/5.81 (~xuntil6(s24)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1865, 2761])).
% 8.28/5.81 tff(2763,plain,
% 8.28/5.81 (~always3(s24)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1844, 2758])).
% 8.28/5.81 tff(2764,plain,
% 8.28/5.81 (~node4(s24)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1848, 22, 2763])).
% 8.28/5.81 tff(2765,plain,
% 8.28/5.81 (xuntil6(s24) | (~until5(s24))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1872, 36, 2764])).
% 8.28/5.81 tff(2766,plain,
% 8.28/5.81 (~until5(s24)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2765, 2762])).
% 8.28/5.81 tff(2767,plain,
% 8.28/5.81 (~xuntil6(s23)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1830, 2766])).
% 8.28/5.81 tff(2768,plain,
% 8.28/5.81 (~always3(s23)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1728, 2763])).
% 8.28/5.81 tff(2769,plain,
% 8.28/5.81 (~node4(s23)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1608, 22, 2768])).
% 8.28/5.81 tff(2770,plain,
% 8.28/5.81 (xuntil6(s23) | (~until5(s23))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1615, 36, 2769])).
% 8.28/5.81 tff(2771,plain,
% 8.28/5.81 (~until5(s23)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2770, 2767])).
% 8.28/5.81 tff(2772,plain,
% 8.28/5.81 (~xuntil6(s22)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1621, 2771])).
% 8.28/5.81 tff(2773,plain,
% 8.28/5.81 (~always3(s22)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1600, 2768])).
% 8.28/5.81 tff(2774,plain,
% 8.28/5.81 (~node4(s22)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1604, 22, 2773])).
% 8.28/5.81 tff(2775,plain,
% 8.28/5.81 (xuntil6(s22) | (~until5(s22))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1628, 36, 2774])).
% 8.28/5.81 tff(2776,plain,
% 8.28/5.81 (~until5(s22)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2775, 2772])).
% 8.28/5.81 tff(2777,plain,
% 8.28/5.81 (~always3(s21)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1645, 2773])).
% 8.28/5.81 tff(2778,plain,
% 8.28/5.81 (~always3(s20)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1480, 2777])).
% 8.28/5.81 tff(2779,plain,
% 8.28/5.81 (~always3(s19)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1363, 2778])).
% 8.28/5.81 tff(2780,plain,
% 8.28/5.81 (~always3(s18)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1375, 2779])).
% 8.28/5.81 tff(2781,plain,
% 8.28/5.81 (~always3(s17)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1283, 2780])).
% 8.28/5.81 tff(2782,plain,
% 8.28/5.81 (~always3(s16)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1205, 2781])).
% 8.28/5.81 tff(2783,plain,
% 8.28/5.81 (~always3(s15)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1125, 2782])).
% 8.28/5.81 tff(2784,plain,
% 8.28/5.81 (~always3(s14)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1015, 2783])).
% 8.28/5.81 tff(2785,plain,
% 8.28/5.81 (~always3(s13)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[966, 2784])).
% 8.28/5.81 tff(2786,plain,
% 8.28/5.81 (~always3(s12)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[826, 2785])).
% 8.28/5.81 tff(2787,plain,
% 8.28/5.81 (~always3(s11)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[761, 2786])).
% 8.28/5.81 tff(2788,plain,
% 8.28/5.81 (~always3(s10)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[788, 2787])).
% 8.28/5.81 tff(2789,plain,
% 8.28/5.81 (~always3(s9)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[425, 2788])).
% 8.28/5.81 tff(2790,plain,
% 8.28/5.81 (~node4(s9)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[25, 22, 2789])).
% 8.28/5.81 tff(2791,plain,
% 8.28/5.81 (~always3(s8)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[72, 2789])).
% 8.28/5.81 tff(2792,plain,
% 8.28/5.81 (~node4(s8)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[76, 22, 2791])).
% 8.28/5.81 tff(2793,plain,
% 8.28/5.81 (~always3(s7)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[88, 2791])).
% 8.28/5.81 tff(2794,plain,
% 8.28/5.81 (xuntil6(s7)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[386, 2793])).
% 8.28/5.81 tff(2795,plain,
% 8.28/5.81 (until5(s8)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[391, 2794])).
% 8.28/5.81 tff(2796,plain,
% 8.28/5.81 (xuntil6(s8) | node4(s8)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[398, 36, 2795])).
% 8.28/5.81 tff(2797,plain,
% 8.28/5.81 (xuntil6(s8)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2796, 2792])).
% 8.28/5.81 tff(2798,plain,
% 8.28/5.81 (until5(s9)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[404, 2797])).
% 8.28/5.81 tff(2799,plain,
% 8.28/5.81 (xuntil6(s9)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[42, 36, 2798, 2790])).
% 8.28/5.81 tff(2800,plain,
% 8.28/5.81 (until5(s10)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[733, 2799])).
% 8.28/5.81 tff(2801,plain,
% 8.28/5.81 (xuntil6(s12)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[814, 2800, 2786])).
% 8.28/5.81 tff(2802,plain,
% 8.28/5.81 (until5(s13)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[921, 2801])).
% 8.28/5.81 tff(2803,plain,
% 8.28/5.81 (~node4(s13)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[932, 22, 2785])).
% 8.28/5.81 tff(2804,plain,
% 8.28/5.81 (xuntil6(s13) | (~until5(s13))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[939, 36, 2803])).
% 8.28/5.81 tff(2805,plain,
% 8.28/5.81 (xuntil6(s13)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2804, 2802])).
% 8.28/5.81 tff(2806,plain,
% 8.28/5.81 (until5(s14)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1001, 2805])).
% 8.28/5.81 tff(2807,plain,
% 8.28/5.81 (~node4(s14)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1032, 22, 2784])).
% 8.28/5.81 tff(2808,plain,
% 8.28/5.81 (xuntil6(s14) | (~until5(s14))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1056, 36, 2807])).
% 8.28/5.81 tff(2809,plain,
% 8.28/5.81 (xuntil6(s14)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2808, 2806])).
% 8.28/5.81 tff(2810,plain,
% 8.28/5.81 (until5(s15)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1049, 2809])).
% 8.28/5.81 tff(2811,plain,
% 8.28/5.81 (~node4(s15)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1036, 22, 2783])).
% 8.28/5.81 tff(2812,plain,
% 8.28/5.81 (xuntil6(s15) | (~until5(s15))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1043, 36, 2811])).
% 8.28/5.81 tff(2813,plain,
% 8.28/5.81 (xuntil6(s15)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2812, 2810])).
% 8.28/5.81 tff(2814,plain,
% 8.28/5.81 (until5(s16)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1191, 2813])).
% 8.28/5.81 tff(2815,plain,
% 8.28/5.81 (~node4(s16)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1210, 22, 2782])).
% 8.28/5.81 tff(2816,plain,
% 8.28/5.81 (xuntil6(s16) | (~until5(s16))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1234, 36, 2815])).
% 8.28/5.81 tff(2817,plain,
% 8.28/5.81 (xuntil6(s16)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2816, 2814])).
% 8.28/5.81 tff(2818,plain,
% 8.28/5.81 (until5(s17)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1227, 2817])).
% 8.28/5.81 tff(2819,plain,
% 8.28/5.81 (~node4(s17)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1214, 22, 2781])).
% 8.28/5.81 tff(2820,plain,
% 8.28/5.81 (xuntil6(s17) | (~until5(s17))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1221, 36, 2819])).
% 8.28/5.81 tff(2821,plain,
% 8.28/5.81 (xuntil6(s17)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2820, 2818])).
% 8.28/5.81 tff(2822,plain,
% 8.28/5.81 (until5(s18)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1349, 2821])).
% 8.28/5.81 tff(2823,plain,
% 8.28/5.81 (~node4(s18)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1415, 22, 2780])).
% 8.28/5.81 tff(2824,plain,
% 8.28/5.81 (xuntil6(s18) | (~until5(s18))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1422, 36, 2823])).
% 8.28/5.81 tff(2825,plain,
% 8.28/5.81 (xuntil6(s18)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2824, 2822])).
% 8.28/5.81 tff(2826,plain,
% 8.28/5.81 (until5(s19)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1411, 2825])).
% 8.28/5.81 tff(2827,plain,
% 8.28/5.81 (~node4(s19)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1382, 22, 2779])).
% 8.28/5.81 tff(2828,plain,
% 8.28/5.81 (xuntil6(s19) | (~until5(s19))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1406, 36, 2827])).
% 8.28/5.81 tff(2829,plain,
% 8.28/5.81 (xuntil6(s19)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2828, 2826])).
% 8.28/5.81 tff(2830,plain,
% 8.28/5.81 (until5(s20)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1399, 2829])).
% 8.28/5.81 tff(2831,plain,
% 8.28/5.81 (~node4(s20)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1386, 22, 2778])).
% 8.28/5.81 tff(2832,plain,
% 8.28/5.81 (xuntil6(s20) | (~until5(s20))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1393, 36, 2831])).
% 8.28/5.81 tff(2833,plain,
% 8.28/5.81 (xuntil6(s20)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2832, 2830])).
% 8.28/5.81 tff(2834,plain,
% 8.28/5.81 (until5(s21)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1586, 2833])).
% 8.28/5.81 tff(2835,plain,
% 8.28/5.81 (~node4(s21)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1649, 22, 2777])).
% 8.28/5.81 tff(2836,plain,
% 8.28/5.81 (xuntil6(s21) | (~until5(s21))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1656, 36, 2835])).
% 8.28/5.81 tff(2837,plain,
% 8.28/5.81 (xuntil6(s21)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2836, 2834])).
% 8.28/5.81 tff(2838,plain,
% 8.28/5.81 ($false),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[1636, 2837, 2776])).
% 8.28/5.81 tff(2839,plain,(always3(s33) | xuntil6(s33)), inference(lemma,lemma(discharge,[]))).
% 8.28/5.81 tff(2840,plain,
% 8.28/5.81 (always3(s33)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[2839, 2685])).
% 8.28/5.81 tff(2841,plain,
% 8.28/5.81 (succ(s33, s34) <=> succ(s33, s34)),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(2842,axiom,(succ(s33, s34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound34')).
% 8.28/5.81 tff(2843,plain,
% 8.28/5.81 (succ(s33, s34)),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[2842, 2841])).
% 8.28/5.81 tff(2844,plain,
% 8.28/5.81 (((~![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))),
% 8.28/5.82 inference(rewrite,[status(thm)],[])).
% 8.28/5.82 tff(2845,plain,
% 8.28/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s33, s34)) | trans(s33, s34))),
% 8.28/5.82 inference(quant_inst,[status(thm)],[])).
% 8.28/5.82 tff(2846,plain,
% 8.28/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s33, s34)) | trans(s33, s34)),
% 8.28/5.82 inference(modus_ponens,[status(thm)],[2845, 2844])).
% 8.28/5.82 tff(2847,plain,
% 8.28/5.82 (trans(s33, s34)),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[2846, 2843, 51])).
% 8.28/5.82 tff(2848,plain,
% 8.28/5.82 (((~![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))),
% 8.28/5.82 inference(rewrite,[status(thm)],[])).
% 8.28/5.82 tff(2849,plain,
% 8.28/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s33, s34)) | (~always3(s33)) | always3(s34))),
% 8.28/5.82 inference(quant_inst,[status(thm)],[])).
% 8.28/5.82 tff(2850,plain,
% 8.28/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s33, s34)) | (~always3(s33)) | always3(s34)),
% 8.28/5.82 inference(modus_ponens,[status(thm)],[2849, 2848])).
% 8.28/5.82 tff(2851,plain,
% 8.28/5.82 ((~always3(s33)) | always3(s34)),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[2850, 68, 2847])).
% 8.28/5.82 tff(2852,plain,
% 8.28/5.82 (always3(s34)),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[2851, 2840])).
% 8.28/5.82 tff(2853,plain,
% 8.28/5.82 (((~![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)))),
% 8.28/5.82 inference(rewrite,[status(thm)],[])).
% 8.28/5.82 tff(2854,plain,
% 8.28/5.82 (((~m_main_v_state(s34, c_busy)) | (~always3(s34))) <=> ((~always3(s34)) | (~m_main_v_state(s34, c_busy)))),
% 8.28/5.82 inference(rewrite,[status(thm)],[])).
% 8.28/5.82 tff(2855,plain,
% 8.28/5.82 (((~![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))))),
% 8.28/5.82 inference(monotonicity,[status(thm)],[2854])).
% 8.28/5.82 tff(2856,plain,
% 8.28/5.82 (((~![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)))),
% 8.28/5.82 inference(transitivity,[status(thm)],[2855, 2853])).
% 8.28/5.82 tff(2857,plain,
% 8.28/5.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s34, c_busy)) | (~always3(s34)))),
% 8.28/5.82 inference(quant_inst,[status(thm)],[])).
% 8.28/5.82 tff(2858,plain,
% 8.28/5.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s34)) | (~m_main_v_state(s34, c_busy))),
% 8.28/5.82 inference(modus_ponens,[status(thm)],[2857, 2856])).
% 8.28/5.82 tff(2859,plain,
% 8.28/5.82 (~m_main_v_state(s34, c_busy)),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[2858, 170, 2852])).
% 8.28/5.82 tff(2860,plain,
% 8.28/5.82 (((~![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)))),
% 8.28/5.82 inference(rewrite,[status(thm)],[])).
% 8.28/5.82 tff(2861,plain,
% 8.28/5.82 (((~m_main_v_state(s33, c_busy)) | (~always3(s33))) <=> ((~always3(s33)) | (~m_main_v_state(s33, c_busy)))),
% 8.28/5.82 inference(rewrite,[status(thm)],[])).
% 8.28/5.82 tff(2862,plain,
% 8.28/5.82 (((~![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))))),
% 8.28/5.82 inference(monotonicity,[status(thm)],[2861])).
% 8.28/5.82 tff(2863,plain,
% 8.28/5.82 (((~![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)))),
% 8.38/5.82 inference(transitivity,[status(thm)],[2862, 2860])).
% 8.38/5.82 tff(2864,plain,
% 8.38/5.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s33, c_busy)) | (~always3(s33)))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(2865,plain,
% 8.38/5.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s33)) | (~m_main_v_state(s33, c_busy))),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2864, 2863])).
% 8.38/5.82 tff(2866,plain,
% 8.38/5.82 (~m_main_v_state(s33, c_busy)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2865, 170, 2840])).
% 8.38/5.82 tff(2867,plain,
% 8.38/5.82 (((~![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))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2868,plain,
% 8.38/5.82 ((~![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))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(2869,plain,
% 8.38/5.82 ((~![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)),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2868, 2867])).
% 8.38/5.82 tff(2870,plain,
% 8.38/5.82 (m_main_v_state(s33, c_ready)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2869, 213, 2866])).
% 8.38/5.82 tff(2871,assumption,(~m_main_v_state(s33, c_busy)), introduced(assumption)).
% 8.38/5.82 tff(2872,assumption,(node4(s32)), introduced(assumption)).
% 8.38/5.82 tff(2873,plain,
% 8.38/5.82 (((~![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)))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2874,plain,
% 8.38/5.82 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s32) | (~node4(s32)))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(2875,plain,
% 8.38/5.82 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s32) | (~node4(s32))),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2874, 2873])).
% 8.38/5.82 tff(2876,plain,
% 8.38/5.82 (m_main_v_request(s32)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2875, 154, 2872])).
% 8.38/5.82 tff(2877,plain,
% 8.38/5.82 (((~![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))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2878,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s32, s33)) | node2(s32, s33))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(2879,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s32, s33)) | node2(s32, s33)),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2878, 2877])).
% 8.38/5.82 tff(2880,plain,
% 8.38/5.82 (node2(s32, s33)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2879, 7, 2693])).
% 8.38/5.82 tff(2881,plain,
% 8.38/5.82 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2882,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(2883,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2882, 2881])).
% 8.38/5.82 tff(2884,plain,
% 8.38/5.82 ((~m_main_v_state(s32, c_ready)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s32))),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2883, 191, 2880])).
% 8.38/5.82 tff(2885,plain,
% 8.38/5.82 (~m_main_v_state(s32, c_ready)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2884, 2876, 2871])).
% 8.38/5.82 tff(2886,plain,
% 8.38/5.82 (always3(s32)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2701, 22, 2872])).
% 8.38/5.82 tff(2887,plain,
% 8.38/5.82 (~m_main_v_state(s32, c_busy)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2624, 170, 2886])).
% 8.38/5.82 tff(2888,plain,
% 8.38/5.82 (((~![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))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2889,plain,
% 8.38/5.82 ((~![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))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(2890,plain,
% 8.38/5.82 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s32, c_busy) | m_main_v_state(s32, c_ready)),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2889, 2888])).
% 8.38/5.82 tff(2891,plain,
% 8.38/5.82 ($false),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2890, 213, 2887, 2885])).
% 8.38/5.82 tff(2892,plain,((~node4(s32)) | m_main_v_state(s33, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.38/5.82 tff(2893,plain,
% 8.38/5.82 (~node4(s32)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2892, 2866])).
% 8.38/5.82 tff(2894,assumption,(until5(s32)), introduced(assumption)).
% 8.38/5.82 tff(2895,plain,
% 8.38/5.82 (xuntil6(s32) | node4(s32)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2725, 36, 2894])).
% 8.38/5.82 tff(2896,plain,
% 8.38/5.82 (xuntil6(s32)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2895, 2893])).
% 8.38/5.82 tff(2897,plain,
% 8.38/5.82 (until5(s33)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2718, 2896])).
% 8.38/5.82 tff(2898,plain,
% 8.38/5.82 (node4(s33)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2713, 2897])).
% 8.38/5.82 tff(2899,plain,
% 8.38/5.82 (((~![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)))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2900,plain,
% 8.38/5.82 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s33) | (~node4(s33)))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(2901,plain,
% 8.38/5.82 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s33) | (~node4(s33))),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2900, 2899])).
% 8.38/5.82 tff(2902,plain,
% 8.38/5.82 (m_main_v_request(s33)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2901, 154, 2898])).
% 8.38/5.82 tff(2903,plain,
% 8.38/5.82 (((~![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))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2904,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s33, s34)) | node2(s33, s34))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(2905,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s33, s34)) | node2(s33, s34)),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2904, 2903])).
% 8.38/5.82 tff(2906,plain,
% 8.38/5.82 (node2(s33, s34)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2905, 7, 2847])).
% 8.38/5.82 tff(2907,plain,
% 8.38/5.82 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2908,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(2909,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s33, c_ready)) | (~node2(s33, s34)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s33))),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2908, 2907])).
% 8.38/5.82 tff(2910,plain,
% 8.38/5.82 ((~m_main_v_state(s33, c_ready)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s33))),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2909, 191, 2906])).
% 8.38/5.82 tff(2911,plain,
% 8.38/5.82 ($false),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2910, 2902, 2870, 2859])).
% 8.38/5.82 tff(2912,plain,(xuntil6(s33) | (~until5(s32))), inference(lemma,lemma(discharge,[]))).
% 8.38/5.82 tff(2913,plain,
% 8.38/5.82 (xuntil6(s33)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2912, 2684])).
% 8.38/5.82 tff(2914,plain,
% 8.38/5.82 (((~![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))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2915,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s33, s34)) | (~xuntil6(s33)) | until5(s34))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(2916,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s33, s34)) | (~xuntil6(s33)) | until5(s34)),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2915, 2914])).
% 8.38/5.82 tff(2917,plain,
% 8.38/5.82 ((~xuntil6(s33)) | until5(s34)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2916, 2843, 141])).
% 8.38/5.82 tff(2918,plain,
% 8.38/5.82 (until5(s34)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2917, 2913])).
% 8.38/5.82 tff(2919,assumption,(~xuntil6(s38)), introduced(assumption)).
% 8.38/5.82 tff(2920,assumption,(until5(s34)), introduced(assumption)).
% 8.38/5.82 tff(2921,assumption,(~always3(s38)), introduced(assumption)).
% 8.38/5.82 tff(2922,plain,
% 8.38/5.82 (succ(s37, s38) <=> succ(s37, s38)),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2923,axiom,(succ(s37, s38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound38')).
% 8.38/5.82 tff(2924,plain,
% 8.38/5.82 (succ(s37, s38)),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2923, 2922])).
% 8.38/5.82 tff(2925,plain,
% 8.38/5.82 (((~![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))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2926,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s37, s38)) | trans(s37, s38))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(2927,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s37, s38)) | trans(s37, s38)),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2926, 2925])).
% 8.38/5.82 tff(2928,plain,
% 8.38/5.82 (trans(s37, s38)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2927, 2924, 51])).
% 8.38/5.82 tff(2929,plain,
% 8.38/5.82 (((~![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))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2930,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s37, s38)) | (~always3(s37)) | always3(s38))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(2931,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s37, s38)) | (~always3(s37)) | always3(s38)),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2930, 2929])).
% 8.38/5.82 tff(2932,plain,
% 8.38/5.82 ((~always3(s37)) | always3(s38)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2931, 68, 2928])).
% 8.38/5.82 tff(2933,plain,
% 8.38/5.82 (~always3(s37)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2932, 2921])).
% 8.38/5.82 tff(2934,assumption,(~always3(s37)), introduced(assumption)).
% 8.38/5.82 tff(2935,plain,
% 8.38/5.82 (succ(s36, s37) <=> succ(s36, s37)),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2936,axiom,(succ(s36, s37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound37')).
% 8.38/5.82 tff(2937,plain,
% 8.38/5.82 (succ(s36, s37)),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2936, 2935])).
% 8.38/5.82 tff(2938,plain,
% 8.38/5.82 (((~![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))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2939,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s36, s37)) | trans(s36, s37))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(2940,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s36, s37)) | trans(s36, s37)),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2939, 2938])).
% 8.38/5.82 tff(2941,plain,
% 8.38/5.82 (trans(s36, s37)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2940, 2937, 51])).
% 8.38/5.82 tff(2942,plain,
% 8.38/5.82 (((~![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))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2943,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s36, s37)) | (~always3(s36)) | always3(s37))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(2944,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s36, s37)) | (~always3(s36)) | always3(s37)),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2943, 2942])).
% 8.38/5.82 tff(2945,plain,
% 8.38/5.82 ((~always3(s36)) | always3(s37)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2944, 68, 2941])).
% 8.38/5.82 tff(2946,plain,
% 8.38/5.82 (~always3(s36)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2945, 2934])).
% 8.38/5.82 tff(2947,plain,
% 8.38/5.82 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s36) | (~node4(s36)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s36) | (~node4(s36)))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2948,plain,
% 8.38/5.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s36) | (~node4(s36)))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(2949,plain,
% 8.38/5.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s36) | (~node4(s36))),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2948, 2947])).
% 8.38/5.82 tff(2950,plain,
% 8.38/5.82 (~node4(s36)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2949, 22, 2946])).
% 8.38/5.82 tff(2951,plain,
% 8.38/5.82 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s37) | (~node4(s37)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s37) | (~node4(s37)))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2952,plain,
% 8.38/5.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s37) | (~node4(s37)))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(2953,plain,
% 8.38/5.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s37) | (~node4(s37))),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2952, 2951])).
% 8.38/5.82 tff(2954,plain,
% 8.38/5.82 (~node4(s37)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2953, 22, 2934])).
% 8.38/5.82 tff(2955,assumption,(~xuntil6(s37)), introduced(assumption)).
% 8.38/5.82 tff(2956,plain,
% 8.38/5.82 (((~![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)))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2957,plain,
% 8.38/5.82 ((node4(s37) | (~until5(s37)) | xuntil6(s37)) <=> (xuntil6(s37) | node4(s37) | (~until5(s37)))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2958,plain,
% 8.38/5.82 (((~![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))))),
% 8.38/5.82 inference(monotonicity,[status(thm)],[2957])).
% 8.38/5.82 tff(2959,plain,
% 8.38/5.82 (((~![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)))),
% 8.38/5.82 inference(transitivity,[status(thm)],[2958, 2956])).
% 8.38/5.82 tff(2960,plain,
% 8.38/5.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s37) | (~until5(s37)) | xuntil6(s37))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(2961,plain,
% 8.38/5.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s37) | node4(s37) | (~until5(s37))),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2960, 2959])).
% 8.38/5.82 tff(2962,plain,
% 8.38/5.82 (node4(s37) | (~until5(s37))),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2961, 36, 2955])).
% 8.38/5.82 tff(2963,plain,
% 8.38/5.82 (~until5(s37)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2962, 2954])).
% 8.38/5.82 tff(2964,plain,
% 8.38/5.82 (((~![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))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2965,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s36, s37)) | (~xuntil6(s36)) | until5(s37))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(2966,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s36, s37)) | (~xuntil6(s36)) | until5(s37)),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2965, 2964])).
% 8.38/5.82 tff(2967,plain,
% 8.38/5.82 ((~xuntil6(s36)) | until5(s37)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2966, 2937, 141])).
% 8.38/5.82 tff(2968,plain,
% 8.38/5.82 (~xuntil6(s36)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2967, 2963])).
% 8.38/5.82 tff(2969,plain,
% 8.38/5.82 (((~![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)))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2970,plain,
% 8.38/5.82 ((node4(s36) | (~until5(s36)) | xuntil6(s36)) <=> (xuntil6(s36) | node4(s36) | (~until5(s36)))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2971,plain,
% 8.38/5.82 (((~![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))))),
% 8.38/5.82 inference(monotonicity,[status(thm)],[2970])).
% 8.38/5.82 tff(2972,plain,
% 8.38/5.82 (((~![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)))),
% 8.38/5.82 inference(transitivity,[status(thm)],[2971, 2969])).
% 8.38/5.82 tff(2973,plain,
% 8.38/5.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s36) | (~until5(s36)) | xuntil6(s36))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(2974,plain,
% 8.38/5.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s36) | node4(s36) | (~until5(s36))),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2973, 2972])).
% 8.38/5.82 tff(2975,plain,
% 8.38/5.82 (~until5(s36)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2974, 36, 2968, 2950])).
% 8.38/5.82 tff(2976,plain,
% 8.38/5.82 (succ(s35, s36) <=> succ(s35, s36)),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2977,axiom,(succ(s35, s36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound36')).
% 8.38/5.82 tff(2978,plain,
% 8.38/5.82 (succ(s35, s36)),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2977, 2976])).
% 8.38/5.82 tff(2979,plain,
% 8.38/5.82 (((~![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))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2980,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s35, s36)) | (~xuntil6(s35)) | until5(s36))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(2981,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s35, s36)) | (~xuntil6(s35)) | until5(s36)),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2980, 2979])).
% 8.38/5.82 tff(2982,plain,
% 8.38/5.82 ((~xuntil6(s35)) | until5(s36)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2981, 2978, 141])).
% 8.38/5.82 tff(2983,plain,
% 8.38/5.82 (~xuntil6(s35)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2982, 2975])).
% 8.38/5.82 tff(2984,plain,
% 8.38/5.82 (((~![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))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2985,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s35, s36)) | trans(s35, s36))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(2986,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s35, s36)) | trans(s35, s36)),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2985, 2984])).
% 8.38/5.82 tff(2987,plain,
% 8.38/5.82 (trans(s35, s36)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2986, 2978, 51])).
% 8.38/5.82 tff(2988,plain,
% 8.38/5.82 (((~![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))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2989,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s35, s36)) | (~always3(s35)) | always3(s36))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(2990,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s35, s36)) | (~always3(s35)) | always3(s36)),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2989, 2988])).
% 8.38/5.82 tff(2991,plain,
% 8.38/5.82 ((~always3(s35)) | always3(s36)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2990, 68, 2987])).
% 8.38/5.82 tff(2992,plain,
% 8.38/5.82 (~always3(s35)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2991, 2946])).
% 8.38/5.82 tff(2993,plain,
% 8.38/5.82 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s35) | (~node4(s35)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s35) | (~node4(s35)))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2994,plain,
% 8.38/5.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s35) | (~node4(s35)))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(2995,plain,
% 8.38/5.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s35) | (~node4(s35))),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[2994, 2993])).
% 8.38/5.82 tff(2996,plain,
% 8.38/5.82 (~node4(s35)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2995, 22, 2992])).
% 8.38/5.82 tff(2997,plain,
% 8.38/5.82 (((~![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)))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2998,plain,
% 8.38/5.82 ((node4(s35) | (~until5(s35)) | xuntil6(s35)) <=> (xuntil6(s35) | node4(s35) | (~until5(s35)))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(2999,plain,
% 8.38/5.82 (((~![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))))),
% 8.38/5.82 inference(monotonicity,[status(thm)],[2998])).
% 8.38/5.82 tff(3000,plain,
% 8.38/5.82 (((~![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)))),
% 8.38/5.82 inference(transitivity,[status(thm)],[2999, 2997])).
% 8.38/5.82 tff(3001,plain,
% 8.38/5.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s35) | (~until5(s35)) | xuntil6(s35))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(3002,plain,
% 8.38/5.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s35) | node4(s35) | (~until5(s35))),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[3001, 3000])).
% 8.38/5.82 tff(3003,plain,
% 8.38/5.82 (xuntil6(s35) | (~until5(s35))),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[3002, 36, 2996])).
% 8.38/5.82 tff(3004,plain,
% 8.38/5.82 (~until5(s35)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[3003, 2983])).
% 8.38/5.82 tff(3005,plain,
% 8.38/5.82 (succ(s34, s35) <=> succ(s34, s35)),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(3006,axiom,(succ(s34, s35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound35')).
% 8.38/5.82 tff(3007,plain,
% 8.38/5.82 (succ(s34, s35)),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[3006, 3005])).
% 8.38/5.82 tff(3008,plain,
% 8.38/5.82 (((~![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))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(3009,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s34, s35)) | (~xuntil6(s34)) | until5(s35))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(3010,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s34, s35)) | (~xuntil6(s34)) | until5(s35)),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[3009, 3008])).
% 8.38/5.82 tff(3011,plain,
% 8.38/5.82 ((~xuntil6(s34)) | until5(s35)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[3010, 3007, 141])).
% 8.38/5.82 tff(3012,plain,
% 8.38/5.82 (~xuntil6(s34)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[3011, 3004])).
% 8.38/5.82 tff(3013,plain,
% 8.38/5.82 (((~![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))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(3014,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s34, s35)) | trans(s34, s35))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(3015,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s34, s35)) | trans(s34, s35)),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[3014, 3013])).
% 8.38/5.82 tff(3016,plain,
% 8.38/5.82 (trans(s34, s35)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[3015, 3007, 51])).
% 8.38/5.82 tff(3017,plain,
% 8.38/5.82 (((~![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))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(3018,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s34, s35)) | (~always3(s34)) | always3(s35))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(3019,plain,
% 8.38/5.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s34, s35)) | (~always3(s34)) | always3(s35)),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[3018, 3017])).
% 8.38/5.82 tff(3020,plain,
% 8.38/5.82 ((~always3(s34)) | always3(s35)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[3019, 68, 3016])).
% 8.38/5.82 tff(3021,plain,
% 8.38/5.82 (~always3(s34)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[3020, 2992])).
% 8.38/5.82 tff(3022,plain,
% 8.38/5.82 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s34) | (~node4(s34)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s34) | (~node4(s34)))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(3023,plain,
% 8.38/5.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s34) | (~node4(s34)))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(3024,plain,
% 8.38/5.82 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s34) | (~node4(s34))),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[3023, 3022])).
% 8.38/5.82 tff(3025,plain,
% 8.38/5.82 (~node4(s34)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[3024, 22, 3021])).
% 8.38/5.82 tff(3026,plain,
% 8.38/5.82 (((~![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)))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(3027,plain,
% 8.38/5.82 ((node4(s34) | (~until5(s34)) | xuntil6(s34)) <=> (xuntil6(s34) | node4(s34) | (~until5(s34)))),
% 8.38/5.82 inference(rewrite,[status(thm)],[])).
% 8.38/5.82 tff(3028,plain,
% 8.38/5.82 (((~![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))))),
% 8.38/5.82 inference(monotonicity,[status(thm)],[3027])).
% 8.38/5.82 tff(3029,plain,
% 8.38/5.82 (((~![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)))),
% 8.38/5.82 inference(transitivity,[status(thm)],[3028, 3026])).
% 8.38/5.82 tff(3030,plain,
% 8.38/5.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s34) | (~until5(s34)) | xuntil6(s34))),
% 8.38/5.82 inference(quant_inst,[status(thm)],[])).
% 8.38/5.82 tff(3031,plain,
% 8.38/5.82 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s34) | node4(s34) | (~until5(s34))),
% 8.38/5.82 inference(modus_ponens,[status(thm)],[3030, 3029])).
% 8.38/5.82 tff(3032,plain,
% 8.38/5.82 (xuntil6(s34) | (~until5(s34))),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[3031, 36, 3025])).
% 8.38/5.82 tff(3033,plain,
% 8.38/5.82 (~until5(s34)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[3032, 3012])).
% 8.38/5.82 tff(3034,plain,
% 8.38/5.82 (~xuntil6(s33)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2917, 3033])).
% 8.38/5.82 tff(3035,plain,
% 8.38/5.82 (~always3(s33)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2851, 3021])).
% 8.38/5.82 tff(3036,plain,
% 8.38/5.82 (~node4(s33)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2705, 22, 3035])).
% 8.38/5.82 tff(3037,plain,
% 8.38/5.82 (xuntil6(s33) | (~until5(s33))),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2712, 36, 3036])).
% 8.38/5.82 tff(3038,plain,
% 8.38/5.82 (~until5(s33)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[3037, 3034])).
% 8.38/5.82 tff(3039,plain,
% 8.38/5.82 (~xuntil6(s32)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2718, 3038])).
% 8.38/5.82 tff(3040,plain,
% 8.38/5.82 (~always3(s32)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2697, 3035])).
% 8.38/5.82 tff(3041,plain,
% 8.38/5.82 (~node4(s32)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2701, 22, 3040])).
% 8.38/5.82 tff(3042,plain,
% 8.38/5.82 (xuntil6(s32) | (~until5(s32))),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2725, 36, 3041])).
% 8.38/5.82 tff(3043,plain,
% 8.38/5.82 (~until5(s32)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[3042, 3039])).
% 8.38/5.82 tff(3044,plain,
% 8.38/5.82 (~xuntil6(s31)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2683, 3043])).
% 8.38/5.82 tff(3045,plain,
% 8.38/5.82 (~always3(s31)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2617, 3040])).
% 8.38/5.82 tff(3046,plain,
% 8.38/5.82 (~node4(s31)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2481, 22, 3045])).
% 8.38/5.82 tff(3047,plain,
% 8.38/5.82 (xuntil6(s31) | (~until5(s31))),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2488, 36, 3046])).
% 8.38/5.82 tff(3048,plain,
% 8.38/5.82 (~until5(s31)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[3047, 3044])).
% 8.38/5.82 tff(3049,plain,
% 8.38/5.82 (~xuntil6(s30)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2494, 3048])).
% 8.38/5.82 tff(3050,plain,
% 8.38/5.82 (~always3(s30)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2473, 3045])).
% 8.38/5.82 tff(3051,plain,
% 8.38/5.82 (~node4(s30)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2477, 22, 3050])).
% 8.38/5.82 tff(3052,plain,
% 8.38/5.82 (xuntil6(s30) | (~until5(s30))),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2501, 36, 3051])).
% 8.38/5.82 tff(3053,plain,
% 8.38/5.82 (~until5(s30)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[3052, 3049])).
% 8.38/5.82 tff(3054,plain,
% 8.38/5.82 (~xuntil6(s29)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2459, 3053])).
% 8.38/5.82 tff(3055,plain,
% 8.38/5.82 (~always3(s29)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2228, 3050])).
% 8.38/5.82 tff(3056,plain,
% 8.38/5.82 (~node4(s29)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2047, 22, 3055])).
% 8.38/5.82 tff(3057,plain,
% 8.38/5.82 (xuntil6(s29) | (~until5(s29))),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2054, 36, 3056])).
% 8.38/5.82 tff(3058,plain,
% 8.38/5.82 (~until5(s29)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[3057, 3054])).
% 8.38/5.82 tff(3059,plain,
% 8.38/5.82 (~xuntil6(s28)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2060, 3058])).
% 8.38/5.82 tff(3060,plain,
% 8.38/5.82 (~always3(s28)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2039, 3055])).
% 8.38/5.82 tff(3061,plain,
% 8.38/5.82 (~node4(s28)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2043, 22, 3060])).
% 8.38/5.82 tff(3062,plain,
% 8.38/5.82 (xuntil6(s28) | (~until5(s28))),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2067, 36, 3061])).
% 8.38/5.82 tff(3063,plain,
% 8.38/5.82 (~until5(s28)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[3062, 3059])).
% 8.38/5.82 tff(3064,plain,
% 8.38/5.82 (~xuntil6(s27)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2075, 3063])).
% 8.38/5.82 tff(3065,plain,
% 8.38/5.82 (~always3(s27)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2084, 3060])).
% 8.38/5.82 tff(3066,plain,
% 8.38/5.82 (~node4(s27)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2088, 22, 3065])).
% 8.38/5.82 tff(3067,plain,
% 8.38/5.82 (xuntil6(s27) | (~until5(s27))),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2095, 36, 3066])).
% 8.38/5.82 tff(3068,plain,
% 8.38/5.82 (~until5(s27)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[3067, 3064])).
% 8.38/5.82 tff(3069,plain,
% 8.38/5.82 (~xuntil6(s26)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2104, 3068])).
% 8.38/5.82 tff(3070,plain,
% 8.38/5.82 (~always3(s26)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2113, 3065])).
% 8.38/5.82 tff(3071,plain,
% 8.38/5.82 (~node4(s26)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2117, 22, 3070])).
% 8.38/5.82 tff(3072,plain,
% 8.38/5.82 (xuntil6(s26) | (~until5(s26))),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2124, 36, 3071])).
% 8.38/5.82 tff(3073,plain,
% 8.38/5.82 (~until5(s26)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[3072, 3069])).
% 8.38/5.82 tff(3074,plain,
% 8.38/5.82 (~xuntil6(s25)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[2024, 3073])).
% 8.38/5.82 tff(3075,plain,
% 8.38/5.82 (~always3(s25)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[1958, 3070])).
% 8.38/5.82 tff(3076,plain,
% 8.38/5.82 (~node4(s25)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[1852, 22, 3075])).
% 8.38/5.82 tff(3077,plain,
% 8.38/5.82 (xuntil6(s25) | (~until5(s25))),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[1859, 36, 3076])).
% 8.38/5.82 tff(3078,plain,
% 8.38/5.82 (~until5(s25)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[3077, 3074])).
% 8.38/5.82 tff(3079,plain,
% 8.38/5.82 (~xuntil6(s24)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[1865, 3078])).
% 8.38/5.82 tff(3080,plain,
% 8.38/5.82 (~always3(s24)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[1844, 3075])).
% 8.38/5.82 tff(3081,plain,
% 8.38/5.82 (~node4(s24)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[1848, 22, 3080])).
% 8.38/5.82 tff(3082,plain,
% 8.38/5.82 (xuntil6(s24) | (~until5(s24))),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[1872, 36, 3081])).
% 8.38/5.82 tff(3083,plain,
% 8.38/5.82 (~until5(s24)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[3082, 3079])).
% 8.38/5.82 tff(3084,plain,
% 8.38/5.82 (~xuntil6(s23)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[1830, 3083])).
% 8.38/5.82 tff(3085,plain,
% 8.38/5.82 (~always3(s23)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[1728, 3080])).
% 8.38/5.82 tff(3086,plain,
% 8.38/5.82 (~node4(s23)),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[1608, 22, 3085])).
% 8.38/5.82 tff(3087,plain,
% 8.38/5.82 (xuntil6(s23) | (~until5(s23))),
% 8.38/5.82 inference(unit_resolution,[status(thm)],[1615, 36, 3086])).
% 8.38/5.83 tff(3088,plain,
% 8.38/5.83 (~until5(s23)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3087, 3084])).
% 8.38/5.83 tff(3089,plain,
% 8.38/5.83 (~xuntil6(s22)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1621, 3088])).
% 8.38/5.83 tff(3090,plain,
% 8.38/5.83 (~always3(s22)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1600, 3085])).
% 8.38/5.83 tff(3091,plain,
% 8.38/5.83 (~node4(s22)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1604, 22, 3090])).
% 8.38/5.83 tff(3092,plain,
% 8.38/5.83 (xuntil6(s22) | (~until5(s22))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1628, 36, 3091])).
% 8.38/5.83 tff(3093,plain,
% 8.38/5.83 (~until5(s22)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3092, 3089])).
% 8.38/5.83 tff(3094,plain,
% 8.38/5.83 (~xuntil6(s21)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1636, 3093])).
% 8.38/5.83 tff(3095,plain,
% 8.38/5.83 (~always3(s21)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1645, 3090])).
% 8.38/5.83 tff(3096,plain,
% 8.38/5.83 (~node4(s21)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1649, 22, 3095])).
% 8.38/5.83 tff(3097,plain,
% 8.38/5.83 (xuntil6(s21) | (~until5(s21))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1656, 36, 3096])).
% 8.38/5.83 tff(3098,plain,
% 8.38/5.83 (~until5(s21)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3097, 3094])).
% 8.38/5.83 tff(3099,plain,
% 8.38/5.83 (~xuntil6(s20)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1586, 3098])).
% 8.38/5.83 tff(3100,plain,
% 8.38/5.83 (~always3(s20)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1480, 3095])).
% 8.38/5.83 tff(3101,plain,
% 8.38/5.83 (~node4(s20)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1386, 22, 3100])).
% 8.38/5.83 tff(3102,plain,
% 8.38/5.83 (xuntil6(s20) | (~until5(s20))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1393, 36, 3101])).
% 8.38/5.83 tff(3103,plain,
% 8.38/5.83 (~until5(s20)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3102, 3099])).
% 8.38/5.83 tff(3104,plain,
% 8.38/5.83 (~xuntil6(s19)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1399, 3103])).
% 8.38/5.83 tff(3105,plain,
% 8.38/5.83 (~always3(s19)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1363, 3100])).
% 8.38/5.83 tff(3106,plain,
% 8.38/5.83 (~node4(s19)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1382, 22, 3105])).
% 8.38/5.83 tff(3107,plain,
% 8.38/5.83 (xuntil6(s19) | (~until5(s19))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1406, 36, 3106])).
% 8.38/5.83 tff(3108,plain,
% 8.38/5.83 (~until5(s19)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3107, 3104])).
% 8.38/5.83 tff(3109,plain,
% 8.38/5.83 (~always3(s18)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1375, 3105])).
% 8.38/5.83 tff(3110,plain,
% 8.38/5.83 (~always3(s17)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1283, 3109])).
% 8.38/5.83 tff(3111,plain,
% 8.38/5.83 (~always3(s16)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1205, 3110])).
% 8.38/5.83 tff(3112,plain,
% 8.38/5.83 (~always3(s15)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1125, 3111])).
% 8.38/5.83 tff(3113,plain,
% 8.38/5.83 (~always3(s14)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1015, 3112])).
% 8.38/5.83 tff(3114,plain,
% 8.38/5.83 (~always3(s13)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[966, 3113])).
% 8.38/5.83 tff(3115,plain,
% 8.38/5.83 (~always3(s12)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[826, 3114])).
% 8.38/5.83 tff(3116,plain,
% 8.38/5.83 (~always3(s11)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[761, 3115])).
% 8.38/5.83 tff(3117,plain,
% 8.38/5.83 (~always3(s10)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[788, 3116])).
% 8.38/5.83 tff(3118,plain,
% 8.38/5.83 (~always3(s9)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[425, 3117])).
% 8.38/5.83 tff(3119,plain,
% 8.38/5.83 (~always3(s8)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[72, 3118])).
% 8.38/5.83 tff(3120,plain,
% 8.38/5.83 (~always3(s7)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[88, 3119])).
% 8.38/5.83 tff(3121,plain,
% 8.38/5.83 (~always3(s6)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[101, 3120])).
% 8.38/5.83 tff(3122,plain,
% 8.38/5.83 (~always3(s5)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[113, 3121])).
% 8.38/5.83 tff(3123,plain,
% 8.38/5.83 (~always3(s4)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[254, 3122])).
% 8.38/5.83 tff(3124,plain,
% 8.38/5.83 (~always3(s3)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[283, 3123])).
% 8.38/5.83 tff(3125,plain,
% 8.38/5.83 (~always3(s2)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[295, 3124])).
% 8.38/5.83 tff(3126,plain,
% 8.38/5.83 (~always3(s1)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[307, 3125])).
% 8.38/5.83 tff(3127,plain,
% 8.38/5.83 (~node4(s1)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[311, 22, 3126])).
% 8.38/5.83 tff(3128,plain,
% 8.38/5.83 (~always3(s0)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[323, 3126])).
% 8.38/5.83 tff(3129,plain,
% 8.38/5.83 (~node4(s0)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[327, 22, 3128])).
% 8.38/5.83 tff(3130,plain,
% 8.38/5.83 (xuntil6(s0)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[338, 3129])).
% 8.38/5.83 tff(3131,plain,
% 8.38/5.83 (until5(s1)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[343, 3130])).
% 8.38/5.83 tff(3132,plain,
% 8.38/5.83 (xuntil6(s1)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[350, 36, 3131, 3127])).
% 8.38/5.83 tff(3133,plain,
% 8.38/5.83 (until5(s2)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[355, 3132])).
% 8.38/5.83 tff(3134,plain,
% 8.38/5.83 (~node4(s2)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[359, 22, 3125])).
% 8.38/5.83 tff(3135,plain,
% 8.38/5.83 (xuntil6(s2) | (~until5(s2))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[366, 36, 3134])).
% 8.38/5.83 tff(3136,plain,
% 8.38/5.83 (xuntil6(s2)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3135, 3133])).
% 8.38/5.83 tff(3137,plain,
% 8.38/5.83 (until5(s3)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[372, 3136])).
% 8.38/5.83 tff(3138,plain,
% 8.38/5.83 (~node4(s3)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[376, 22, 3124])).
% 8.38/5.83 tff(3139,plain,
% 8.38/5.83 (xuntil6(s3) | (~until5(s3))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[383, 36, 3138])).
% 8.38/5.83 tff(3140,plain,
% 8.38/5.83 (xuntil6(s3)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3139, 3137])).
% 8.38/5.83 tff(3141,plain,
% 8.38/5.83 (until5(s4)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[274, 3140])).
% 8.38/5.83 tff(3142,plain,
% 8.38/5.83 (~node4(s4)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[258, 22, 3123])).
% 8.38/5.83 tff(3143,plain,
% 8.38/5.83 (xuntil6(s4) | (~until5(s4))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[265, 36, 3142])).
% 8.38/5.83 tff(3144,plain,
% 8.38/5.83 (xuntil6(s4)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3143, 3141])).
% 8.38/5.83 tff(3145,plain,
% 8.38/5.83 (until5(s5)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[245, 3144])).
% 8.38/5.83 tff(3146,plain,
% 8.38/5.83 (~node4(s5)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[117, 22, 3122])).
% 8.38/5.83 tff(3147,plain,
% 8.38/5.83 (xuntil6(s5) | (~until5(s5))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[237, 36, 3146])).
% 8.38/5.83 tff(3148,plain,
% 8.38/5.83 (xuntil6(s5)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3147, 3145])).
% 8.38/5.83 tff(3149,plain,
% 8.38/5.83 (until5(s6)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[230, 3148])).
% 8.38/5.83 tff(3150,plain,
% 8.38/5.83 (~node4(s6)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[161, 22, 3121])).
% 8.38/5.83 tff(3151,plain,
% 8.38/5.83 (xuntil6(s6) | (~until5(s6))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[224, 36, 3150])).
% 8.38/5.83 tff(3152,plain,
% 8.38/5.83 (xuntil6(s6)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3151, 3149])).
% 8.38/5.83 tff(3153,plain,
% 8.38/5.83 (until5(s7)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[145, 3152])).
% 8.38/5.83 tff(3154,plain,
% 8.38/5.83 (~node4(s7)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[121, 22, 3120])).
% 8.38/5.83 tff(3155,plain,
% 8.38/5.83 (xuntil6(s7) | (~until5(s7))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[129, 36, 3154])).
% 8.38/5.83 tff(3156,plain,
% 8.38/5.83 (xuntil6(s7)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3155, 3153])).
% 8.38/5.83 tff(3157,plain,
% 8.38/5.83 (until5(s8)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[391, 3156])).
% 8.38/5.83 tff(3158,plain,
% 8.38/5.83 (~node4(s8)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[76, 22, 3119])).
% 8.38/5.83 tff(3159,plain,
% 8.38/5.83 (xuntil6(s8) | (~until5(s8))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[398, 36, 3158])).
% 8.38/5.83 tff(3160,plain,
% 8.38/5.83 (xuntil6(s8)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3159, 3157])).
% 8.38/5.83 tff(3161,plain,
% 8.38/5.83 (until5(s9)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[404, 3160])).
% 8.38/5.83 tff(3162,plain,
% 8.38/5.83 (~node4(s9)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[25, 22, 3118])).
% 8.38/5.83 tff(3163,plain,
% 8.38/5.83 (xuntil6(s9) | (~until5(s9))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[42, 36, 3162])).
% 8.38/5.83 tff(3164,plain,
% 8.38/5.83 (xuntil6(s9)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3163, 3161])).
% 8.38/5.83 tff(3165,plain,
% 8.38/5.83 (until5(s10)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[733, 3164])).
% 8.38/5.83 tff(3166,plain,
% 8.38/5.83 (~node4(s10)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[792, 22, 3117])).
% 8.38/5.83 tff(3167,plain,
% 8.38/5.83 (xuntil6(s10) | (~until5(s10))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[799, 36, 3166])).
% 8.38/5.83 tff(3168,plain,
% 8.38/5.83 (xuntil6(s10)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3167, 3165])).
% 8.38/5.83 tff(3169,plain,
% 8.38/5.83 (until5(s11)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[805, 3168])).
% 8.38/5.83 tff(3170,plain,
% 8.38/5.83 (~node4(s11)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[765, 22, 3116])).
% 8.38/5.83 tff(3171,plain,
% 8.38/5.83 (xuntil6(s11) | (~until5(s11))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[812, 36, 3170])).
% 8.38/5.83 tff(3172,plain,
% 8.38/5.83 (xuntil6(s11)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3171, 3169])).
% 8.38/5.83 tff(3173,plain,
% 8.38/5.83 (until5(s12)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[776, 3172])).
% 8.38/5.83 tff(3174,plain,
% 8.38/5.83 (~node4(s12)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[769, 22, 3115])).
% 8.38/5.83 tff(3175,plain,
% 8.38/5.83 (xuntil6(s12) | (~until5(s12))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[743, 36, 3174])).
% 8.38/5.83 tff(3176,plain,
% 8.38/5.83 (xuntil6(s12)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3175, 3173])).
% 8.38/5.83 tff(3177,plain,
% 8.38/5.83 (until5(s13)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[921, 3176])).
% 8.38/5.83 tff(3178,plain,
% 8.38/5.83 (~node4(s13)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[932, 22, 3114])).
% 8.38/5.83 tff(3179,plain,
% 8.38/5.83 (xuntil6(s13) | (~until5(s13))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[939, 36, 3178])).
% 8.38/5.83 tff(3180,plain,
% 8.38/5.83 (xuntil6(s13)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3179, 3177])).
% 8.38/5.83 tff(3181,plain,
% 8.38/5.83 (until5(s14)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1001, 3180])).
% 8.38/5.83 tff(3182,plain,
% 8.38/5.83 (~node4(s14)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1032, 22, 3113])).
% 8.38/5.83 tff(3183,plain,
% 8.38/5.83 (xuntil6(s14) | (~until5(s14))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1056, 36, 3182])).
% 8.38/5.83 tff(3184,plain,
% 8.38/5.83 (xuntil6(s14)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3183, 3181])).
% 8.38/5.83 tff(3185,plain,
% 8.38/5.83 (until5(s15)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1049, 3184])).
% 8.38/5.83 tff(3186,plain,
% 8.38/5.83 (~node4(s15)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1036, 22, 3112])).
% 8.38/5.83 tff(3187,plain,
% 8.38/5.83 (xuntil6(s15) | (~until5(s15))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1043, 36, 3186])).
% 8.38/5.83 tff(3188,plain,
% 8.38/5.83 (xuntil6(s15)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3187, 3185])).
% 8.38/5.83 tff(3189,plain,
% 8.38/5.83 (until5(s16)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1191, 3188])).
% 8.38/5.83 tff(3190,plain,
% 8.38/5.83 (~node4(s16)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1210, 22, 3111])).
% 8.38/5.83 tff(3191,plain,
% 8.38/5.83 (xuntil6(s16) | (~until5(s16))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1234, 36, 3190])).
% 8.38/5.83 tff(3192,plain,
% 8.38/5.83 (xuntil6(s16)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3191, 3189])).
% 8.38/5.83 tff(3193,plain,
% 8.38/5.83 (until5(s17)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1227, 3192])).
% 8.38/5.83 tff(3194,plain,
% 8.38/5.83 (~node4(s17)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1214, 22, 3110])).
% 8.38/5.83 tff(3195,plain,
% 8.38/5.83 (xuntil6(s17) | (~until5(s17))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1221, 36, 3194])).
% 8.38/5.83 tff(3196,plain,
% 8.38/5.83 (xuntil6(s17)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3195, 3193])).
% 8.38/5.83 tff(3197,plain,
% 8.38/5.83 (until5(s18)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1349, 3196])).
% 8.38/5.83 tff(3198,plain,
% 8.38/5.83 (~node4(s18)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1415, 22, 3109])).
% 8.38/5.83 tff(3199,plain,
% 8.38/5.83 (xuntil6(s18) | (~until5(s18))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1422, 36, 3198])).
% 8.38/5.83 tff(3200,plain,
% 8.38/5.83 (xuntil6(s18)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3199, 3197])).
% 8.38/5.83 tff(3201,plain,
% 8.38/5.83 ($false),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[1411, 3200, 3108])).
% 8.38/5.83 tff(3202,plain,(always3(s37) | xuntil6(s37)), inference(lemma,lemma(discharge,[]))).
% 8.38/5.83 tff(3203,plain,
% 8.38/5.83 (xuntil6(s37)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3202, 2933])).
% 8.38/5.83 tff(3204,plain,
% 8.38/5.83 (((~![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))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3205,plain,
% 8.38/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s37, s38)) | (~xuntil6(s37)) | until5(s38))),
% 8.38/5.83 inference(quant_inst,[status(thm)],[])).
% 8.38/5.83 tff(3206,plain,
% 8.38/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s37, s38)) | (~xuntil6(s37)) | until5(s38)),
% 8.38/5.83 inference(modus_ponens,[status(thm)],[3205, 3204])).
% 8.38/5.83 tff(3207,plain,
% 8.38/5.83 ((~xuntil6(s37)) | until5(s38)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3206, 2924, 141])).
% 8.38/5.83 tff(3208,plain,
% 8.38/5.83 (until5(s38)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3207, 3203])).
% 8.38/5.83 tff(3209,plain,
% 8.38/5.83 (((~![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)))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3210,plain,
% 8.38/5.83 ((node4(s38) | (~until5(s38)) | xuntil6(s38)) <=> (xuntil6(s38) | node4(s38) | (~until5(s38)))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3211,plain,
% 8.38/5.83 (((~![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))))),
% 8.38/5.83 inference(monotonicity,[status(thm)],[3210])).
% 8.38/5.83 tff(3212,plain,
% 8.38/5.83 (((~![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)))),
% 8.38/5.83 inference(transitivity,[status(thm)],[3211, 3209])).
% 8.38/5.83 tff(3213,plain,
% 8.38/5.83 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s38) | (~until5(s38)) | xuntil6(s38))),
% 8.38/5.83 inference(quant_inst,[status(thm)],[])).
% 8.38/5.83 tff(3214,plain,
% 8.38/5.83 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s38) | node4(s38) | (~until5(s38))),
% 8.38/5.83 inference(modus_ponens,[status(thm)],[3213, 3212])).
% 8.38/5.83 tff(3215,plain,
% 8.38/5.83 (node4(s38) | (~until5(s38))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3214, 36, 2919])).
% 8.38/5.83 tff(3216,plain,
% 8.38/5.83 (node4(s38)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3215, 3208])).
% 8.38/5.83 tff(3217,plain,
% 8.38/5.83 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s38) | (~node4(s38)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s38) | (~node4(s38)))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3218,plain,
% 8.38/5.83 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s38) | (~node4(s38)))),
% 8.38/5.83 inference(quant_inst,[status(thm)],[])).
% 8.38/5.83 tff(3219,plain,
% 8.38/5.83 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s38) | (~node4(s38))),
% 8.38/5.83 inference(modus_ponens,[status(thm)],[3218, 3217])).
% 8.38/5.83 tff(3220,plain,
% 8.38/5.83 ($false),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3219, 22, 2921, 3216])).
% 8.38/5.83 tff(3221,plain,(always3(s38) | xuntil6(s38)), inference(lemma,lemma(discharge,[]))).
% 8.38/5.83 tff(3222,plain,
% 8.38/5.83 (always3(s38)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3221, 2919])).
% 8.38/5.83 tff(3223,plain,
% 8.38/5.83 (succ(s38, s39) <=> succ(s38, s39)),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3224,axiom,(succ(s38, s39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound39')).
% 8.38/5.83 tff(3225,plain,
% 8.38/5.83 (succ(s38, s39)),
% 8.38/5.83 inference(modus_ponens,[status(thm)],[3224, 3223])).
% 8.38/5.83 tff(3226,plain,
% 8.38/5.83 (((~![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))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3227,plain,
% 8.38/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s38, s39)) | trans(s38, s39))),
% 8.38/5.83 inference(quant_inst,[status(thm)],[])).
% 8.38/5.83 tff(3228,plain,
% 8.38/5.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s38, s39)) | trans(s38, s39)),
% 8.38/5.83 inference(modus_ponens,[status(thm)],[3227, 3226])).
% 8.38/5.83 tff(3229,plain,
% 8.38/5.83 (trans(s38, s39)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3228, 3225, 51])).
% 8.38/5.83 tff(3230,plain,
% 8.38/5.83 (((~![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))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3231,plain,
% 8.38/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s38, s39)) | (~always3(s38)) | always3(s39))),
% 8.38/5.83 inference(quant_inst,[status(thm)],[])).
% 8.38/5.83 tff(3232,plain,
% 8.38/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s38, s39)) | (~always3(s38)) | always3(s39)),
% 8.38/5.83 inference(modus_ponens,[status(thm)],[3231, 3230])).
% 8.38/5.83 tff(3233,plain,
% 8.38/5.83 ((~always3(s38)) | always3(s39)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3232, 68, 3229])).
% 8.38/5.83 tff(3234,plain,
% 8.38/5.83 (always3(s39)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3233, 3222])).
% 8.38/5.83 tff(3235,plain,
% 8.38/5.83 (((~![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)))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3236,plain,
% 8.38/5.83 (((~m_main_v_state(s39, c_busy)) | (~always3(s39))) <=> ((~always3(s39)) | (~m_main_v_state(s39, c_busy)))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3237,plain,
% 8.38/5.83 (((~![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))))),
% 8.38/5.83 inference(monotonicity,[status(thm)],[3236])).
% 8.38/5.83 tff(3238,plain,
% 8.38/5.83 (((~![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)))),
% 8.38/5.83 inference(transitivity,[status(thm)],[3237, 3235])).
% 8.38/5.83 tff(3239,plain,
% 8.38/5.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s39, c_busy)) | (~always3(s39)))),
% 8.38/5.83 inference(quant_inst,[status(thm)],[])).
% 8.38/5.83 tff(3240,plain,
% 8.38/5.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s39)) | (~m_main_v_state(s39, c_busy))),
% 8.38/5.83 inference(modus_ponens,[status(thm)],[3239, 3238])).
% 8.38/5.83 tff(3241,plain,
% 8.38/5.83 (~m_main_v_state(s39, c_busy)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3240, 170, 3234])).
% 8.38/5.83 tff(3242,plain,
% 8.38/5.83 (((~![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)))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3243,plain,
% 8.38/5.83 (((~m_main_v_state(s38, c_busy)) | (~always3(s38))) <=> ((~always3(s38)) | (~m_main_v_state(s38, c_busy)))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3244,plain,
% 8.38/5.83 (((~![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))))),
% 8.38/5.83 inference(monotonicity,[status(thm)],[3243])).
% 8.38/5.83 tff(3245,plain,
% 8.38/5.83 (((~![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)))),
% 8.38/5.83 inference(transitivity,[status(thm)],[3244, 3242])).
% 8.38/5.83 tff(3246,plain,
% 8.38/5.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s38, c_busy)) | (~always3(s38)))),
% 8.38/5.83 inference(quant_inst,[status(thm)],[])).
% 8.38/5.83 tff(3247,plain,
% 8.38/5.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s38)) | (~m_main_v_state(s38, c_busy))),
% 8.38/5.83 inference(modus_ponens,[status(thm)],[3246, 3245])).
% 8.38/5.83 tff(3248,plain,
% 8.38/5.83 (~m_main_v_state(s38, c_busy)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3247, 170, 3222])).
% 8.38/5.83 tff(3249,plain,
% 8.38/5.83 (((~![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))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3250,plain,
% 8.38/5.83 ((~![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))),
% 8.38/5.83 inference(quant_inst,[status(thm)],[])).
% 8.38/5.83 tff(3251,plain,
% 8.38/5.83 ((~![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)),
% 8.38/5.83 inference(modus_ponens,[status(thm)],[3250, 3249])).
% 8.38/5.83 tff(3252,plain,
% 8.38/5.83 (m_main_v_state(s38, c_ready)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3251, 213, 3248])).
% 8.38/5.83 tff(3253,plain,
% 8.38/5.83 (((~![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))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3254,plain,
% 8.38/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s38, s39)) | node2(s38, s39))),
% 8.38/5.83 inference(quant_inst,[status(thm)],[])).
% 8.38/5.83 tff(3255,plain,
% 8.38/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s38, s39)) | node2(s38, s39)),
% 8.38/5.83 inference(modus_ponens,[status(thm)],[3254, 3253])).
% 8.38/5.83 tff(3256,plain,
% 8.38/5.83 (node2(s38, s39)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3255, 7, 3229])).
% 8.38/5.83 tff(3257,plain,
% 8.38/5.83 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3258,plain,
% 8.38/5.83 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.38/5.83 inference(quant_inst,[status(thm)],[])).
% 8.38/5.83 tff(3259,plain,
% 8.38/5.83 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.38/5.83 inference(modus_ponens,[status(thm)],[3258, 3257])).
% 8.38/5.83 tff(3260,plain,
% 8.38/5.83 ((~m_main_v_state(s38, c_ready)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s38))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3259, 191, 3256])).
% 8.38/5.83 tff(3261,plain,
% 8.38/5.83 (~m_main_v_request(s38)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3260, 3252, 3241])).
% 8.38/5.83 tff(3262,plain,
% 8.38/5.83 (((~![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)))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3263,plain,
% 8.38/5.83 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s38) | (~node4(s38)))),
% 8.38/5.83 inference(quant_inst,[status(thm)],[])).
% 8.38/5.83 tff(3264,plain,
% 8.38/5.83 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s38) | (~node4(s38))),
% 8.38/5.83 inference(modus_ponens,[status(thm)],[3263, 3262])).
% 8.38/5.83 tff(3265,plain,
% 8.38/5.83 (~node4(s38)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3264, 154, 3261])).
% 8.38/5.83 tff(3266,plain,
% 8.38/5.83 (~until5(s38)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3215, 3265])).
% 8.38/5.83 tff(3267,plain,
% 8.38/5.83 (~xuntil6(s37)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3207, 3266])).
% 8.38/5.83 tff(3268,plain,
% 8.38/5.83 (always3(s37)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3202, 3267])).
% 8.38/5.83 tff(3269,plain,
% 8.38/5.83 (((~![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)))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3270,plain,
% 8.38/5.83 (((~m_main_v_state(s37, c_busy)) | (~always3(s37))) <=> ((~always3(s37)) | (~m_main_v_state(s37, c_busy)))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3271,plain,
% 8.38/5.83 (((~![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))))),
% 8.38/5.83 inference(monotonicity,[status(thm)],[3270])).
% 8.38/5.83 tff(3272,plain,
% 8.38/5.83 (((~![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)))),
% 8.38/5.83 inference(transitivity,[status(thm)],[3271, 3269])).
% 8.38/5.83 tff(3273,plain,
% 8.38/5.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s37, c_busy)) | (~always3(s37)))),
% 8.38/5.83 inference(quant_inst,[status(thm)],[])).
% 8.38/5.83 tff(3274,plain,
% 8.38/5.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s37)) | (~m_main_v_state(s37, c_busy))),
% 8.38/5.83 inference(modus_ponens,[status(thm)],[3273, 3272])).
% 8.38/5.83 tff(3275,plain,
% 8.38/5.83 (~m_main_v_state(s37, c_busy)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3274, 170, 3268])).
% 8.38/5.83 tff(3276,assumption,(~m_main_v_state(s37, c_busy)), introduced(assumption)).
% 8.38/5.83 tff(3277,assumption,(~xuntil6(s36)), introduced(assumption)).
% 8.38/5.83 tff(3278,assumption,(~always3(s36)), introduced(assumption)).
% 8.38/5.83 tff(3279,plain,
% 8.38/5.83 (~always3(s35)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[2991, 3278])).
% 8.38/5.83 tff(3280,plain,
% 8.38/5.83 (~node4(s35)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[2995, 22, 3279])).
% 8.38/5.83 tff(3281,plain,
% 8.38/5.83 (~always3(s34)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3020, 3279])).
% 8.38/5.83 tff(3282,plain,
% 8.38/5.83 (~node4(s34)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3024, 22, 3281])).
% 8.38/5.83 tff(3283,plain,
% 8.38/5.83 (xuntil6(s34) | node4(s34)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3031, 36, 2920])).
% 8.38/5.83 tff(3284,plain,
% 8.38/5.83 (xuntil6(s34)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3283, 3282])).
% 8.38/5.83 tff(3285,plain,
% 8.38/5.83 (until5(s35)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3011, 3284])).
% 8.38/5.83 tff(3286,plain,
% 8.38/5.83 (xuntil6(s35)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3002, 36, 3285, 3280])).
% 8.38/5.83 tff(3287,plain,
% 8.38/5.83 (until5(s36)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[2982, 3286])).
% 8.38/5.83 tff(3288,plain,
% 8.38/5.83 (node4(s36) | (~until5(s36))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[2974, 36, 3277])).
% 8.38/5.83 tff(3289,plain,
% 8.38/5.83 (node4(s36)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3288, 3287])).
% 8.38/5.83 tff(3290,plain,
% 8.38/5.83 ($false),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[2949, 22, 3278, 3289])).
% 8.38/5.83 tff(3291,plain,(always3(s36) | xuntil6(s36) | (~until5(s34))), inference(lemma,lemma(discharge,[]))).
% 8.38/5.83 tff(3292,plain,
% 8.38/5.83 (always3(s36)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3291, 2920, 3277])).
% 8.38/5.83 tff(3293,plain,
% 8.38/5.83 (((~![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)))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3294,plain,
% 8.38/5.83 (((~m_main_v_state(s36, c_busy)) | (~always3(s36))) <=> ((~always3(s36)) | (~m_main_v_state(s36, c_busy)))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3295,plain,
% 8.38/5.83 (((~![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))))),
% 8.38/5.83 inference(monotonicity,[status(thm)],[3294])).
% 8.38/5.83 tff(3296,plain,
% 8.38/5.83 (((~![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)))),
% 8.38/5.83 inference(transitivity,[status(thm)],[3295, 3293])).
% 8.38/5.83 tff(3297,plain,
% 8.38/5.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s36, c_busy)) | (~always3(s36)))),
% 8.38/5.83 inference(quant_inst,[status(thm)],[])).
% 8.38/5.83 tff(3298,plain,
% 8.38/5.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s36)) | (~m_main_v_state(s36, c_busy))),
% 8.38/5.83 inference(modus_ponens,[status(thm)],[3297, 3296])).
% 8.38/5.83 tff(3299,plain,
% 8.38/5.83 (~m_main_v_state(s36, c_busy)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3298, 170, 3292])).
% 8.38/5.83 tff(3300,plain,
% 8.38/5.83 (((~![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))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3301,plain,
% 8.38/5.83 ((~![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))),
% 8.38/5.83 inference(quant_inst,[status(thm)],[])).
% 8.38/5.83 tff(3302,plain,
% 8.38/5.83 ((~![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)),
% 8.38/5.83 inference(modus_ponens,[status(thm)],[3301, 3300])).
% 8.38/5.83 tff(3303,plain,
% 8.38/5.83 (m_main_v_state(s36, c_ready)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3302, 213, 3299])).
% 8.38/5.83 tff(3304,assumption,(~m_main_v_state(s36, c_busy)), introduced(assumption)).
% 8.38/5.83 tff(3305,assumption,(node4(s35)), introduced(assumption)).
% 8.38/5.83 tff(3306,plain,
% 8.38/5.83 (((~![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)))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3307,plain,
% 8.38/5.83 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s35) | (~node4(s35)))),
% 8.38/5.83 inference(quant_inst,[status(thm)],[])).
% 8.38/5.83 tff(3308,plain,
% 8.38/5.83 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s35) | (~node4(s35))),
% 8.38/5.83 inference(modus_ponens,[status(thm)],[3307, 3306])).
% 8.38/5.83 tff(3309,plain,
% 8.38/5.83 (m_main_v_request(s35)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3308, 154, 3305])).
% 8.38/5.83 tff(3310,plain,
% 8.38/5.83 (((~![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))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3311,plain,
% 8.38/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s35, s36)) | node2(s35, s36))),
% 8.38/5.83 inference(quant_inst,[status(thm)],[])).
% 8.38/5.83 tff(3312,plain,
% 8.38/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s35, s36)) | node2(s35, s36)),
% 8.38/5.83 inference(modus_ponens,[status(thm)],[3311, 3310])).
% 8.38/5.83 tff(3313,plain,
% 8.38/5.83 (node2(s35, s36)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3312, 7, 2987])).
% 8.38/5.83 tff(3314,plain,
% 8.38/5.83 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3315,plain,
% 8.38/5.83 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.38/5.83 inference(quant_inst,[status(thm)],[])).
% 8.38/5.83 tff(3316,plain,
% 8.38/5.83 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.38/5.83 inference(modus_ponens,[status(thm)],[3315, 3314])).
% 8.38/5.83 tff(3317,plain,
% 8.38/5.83 ((~m_main_v_state(s35, c_ready)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s35))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3316, 191, 3313])).
% 8.38/5.83 tff(3318,plain,
% 8.38/5.83 (~m_main_v_state(s35, c_ready)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3317, 3309, 3304])).
% 8.38/5.83 tff(3319,plain,
% 8.38/5.83 (always3(s35)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[2995, 22, 3305])).
% 8.38/5.83 tff(3320,plain,
% 8.38/5.83 (((~![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)))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3321,plain,
% 8.38/5.83 (((~m_main_v_state(s35, c_busy)) | (~always3(s35))) <=> ((~always3(s35)) | (~m_main_v_state(s35, c_busy)))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3322,plain,
% 8.38/5.83 (((~![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))))),
% 8.38/5.83 inference(monotonicity,[status(thm)],[3321])).
% 8.38/5.83 tff(3323,plain,
% 8.38/5.83 (((~![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)))),
% 8.38/5.83 inference(transitivity,[status(thm)],[3322, 3320])).
% 8.38/5.83 tff(3324,plain,
% 8.38/5.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s35, c_busy)) | (~always3(s35)))),
% 8.38/5.83 inference(quant_inst,[status(thm)],[])).
% 8.38/5.83 tff(3325,plain,
% 8.38/5.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s35)) | (~m_main_v_state(s35, c_busy))),
% 8.38/5.83 inference(modus_ponens,[status(thm)],[3324, 3323])).
% 8.38/5.83 tff(3326,plain,
% 8.38/5.83 (~m_main_v_state(s35, c_busy)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3325, 170, 3319])).
% 8.38/5.83 tff(3327,plain,
% 8.38/5.83 (((~![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))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3328,plain,
% 8.38/5.83 ((~![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))),
% 8.38/5.83 inference(quant_inst,[status(thm)],[])).
% 8.38/5.83 tff(3329,plain,
% 8.38/5.83 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s35, c_busy) | m_main_v_state(s35, c_ready)),
% 8.38/5.83 inference(modus_ponens,[status(thm)],[3328, 3327])).
% 8.38/5.83 tff(3330,plain,
% 8.38/5.83 ($false),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3329, 213, 3326, 3318])).
% 8.38/5.83 tff(3331,plain,((~node4(s35)) | m_main_v_state(s36, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.38/5.83 tff(3332,plain,
% 8.38/5.83 (~node4(s35)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3331, 3299])).
% 8.38/5.83 tff(3333,assumption,(node4(s34)), introduced(assumption)).
% 8.38/5.83 tff(3334,plain,
% 8.38/5.83 (((~![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)))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3335,plain,
% 8.38/5.83 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s34) | (~node4(s34)))),
% 8.38/5.83 inference(quant_inst,[status(thm)],[])).
% 8.38/5.83 tff(3336,plain,
% 8.38/5.83 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s34) | (~node4(s34))),
% 8.38/5.83 inference(modus_ponens,[status(thm)],[3335, 3334])).
% 8.38/5.83 tff(3337,plain,
% 8.38/5.83 (m_main_v_request(s34)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3336, 154, 3333])).
% 8.38/5.83 tff(3338,plain,
% 8.38/5.83 (always3(s34)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3024, 22, 3333])).
% 8.38/5.83 tff(3339,plain,
% 8.38/5.83 (always3(s35)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3020, 3338])).
% 8.38/5.83 tff(3340,plain,
% 8.38/5.83 (~m_main_v_state(s35, c_busy)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3325, 170, 3339])).
% 8.38/5.83 tff(3341,plain,
% 8.38/5.83 (((~![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))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3342,plain,
% 8.38/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s34, s35)) | node2(s34, s35))),
% 8.38/5.83 inference(quant_inst,[status(thm)],[])).
% 8.38/5.83 tff(3343,plain,
% 8.38/5.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s34, s35)) | node2(s34, s35)),
% 8.38/5.83 inference(modus_ponens,[status(thm)],[3342, 3341])).
% 8.38/5.83 tff(3344,plain,
% 8.38/5.83 (node2(s34, s35)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3343, 7, 3016])).
% 8.38/5.83 tff(3345,plain,
% 8.38/5.83 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.83 tff(3346,plain,
% 8.38/5.83 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.38/5.83 inference(quant_inst,[status(thm)],[])).
% 8.38/5.83 tff(3347,plain,
% 8.38/5.83 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.38/5.83 inference(modus_ponens,[status(thm)],[3346, 3345])).
% 8.38/5.83 tff(3348,plain,
% 8.38/5.83 ((~m_main_v_state(s34, c_ready)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s34))),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3347, 191, 3344])).
% 8.38/5.83 tff(3349,plain,
% 8.38/5.83 (~m_main_v_state(s34, c_ready)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[3348, 3340, 3337])).
% 8.38/5.83 tff(3350,plain,
% 8.38/5.83 (~m_main_v_state(s34, c_busy)),
% 8.38/5.83 inference(unit_resolution,[status(thm)],[2858, 170, 3338])).
% 8.38/5.83 tff(3351,plain,
% 8.38/5.83 (((~![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))),
% 8.38/5.83 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3352,plain,
% 8.38/5.84 ((~![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))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3353,plain,
% 8.38/5.84 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s34, c_busy) | m_main_v_state(s34, c_ready)),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3352, 3351])).
% 8.38/5.84 tff(3354,plain,
% 8.38/5.84 ($false),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3353, 213, 3350, 3349])).
% 8.38/5.84 tff(3355,plain,(~node4(s34)), inference(lemma,lemma(discharge,[]))).
% 8.38/5.84 tff(3356,plain,
% 8.38/5.84 (xuntil6(s34) | (~until5(s34))),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3031, 36, 3355])).
% 8.38/5.84 tff(3357,plain,
% 8.38/5.84 (xuntil6(s34)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3356, 2920])).
% 8.38/5.84 tff(3358,plain,
% 8.38/5.84 (until5(s35)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3011, 3357])).
% 8.38/5.84 tff(3359,plain,
% 8.38/5.84 (xuntil6(s35) | node4(s35)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3002, 36, 3358])).
% 8.38/5.84 tff(3360,plain,
% 8.38/5.84 (xuntil6(s35)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3359, 3332])).
% 8.38/5.84 tff(3361,plain,
% 8.38/5.84 (until5(s36)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[2982, 3360])).
% 8.38/5.84 tff(3362,plain,
% 8.38/5.84 (node4(s36)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3288, 3361])).
% 8.38/5.84 tff(3363,plain,
% 8.38/5.84 (((~![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)))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3364,plain,
% 8.38/5.84 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s36) | (~node4(s36)))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3365,plain,
% 8.38/5.84 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s36) | (~node4(s36))),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3364, 3363])).
% 8.38/5.84 tff(3366,plain,
% 8.38/5.84 (m_main_v_request(s36)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3365, 154, 3362])).
% 8.38/5.84 tff(3367,plain,
% 8.38/5.84 (((~![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))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3368,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s36, s37)) | node2(s36, s37))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3369,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s36, s37)) | node2(s36, s37)),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3368, 3367])).
% 8.38/5.84 tff(3370,plain,
% 8.38/5.84 (node2(s36, s37)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3369, 7, 2941])).
% 8.38/5.84 tff(3371,plain,
% 8.38/5.84 (((~![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(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)))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3372,plain,
% 8.38/5.84 ((~![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(s36, c_ready)) | (~node2(s36, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s36)))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3373,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s36, c_ready)) | (~node2(s36, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s36))),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3372, 3371])).
% 8.38/5.84 tff(3374,plain,
% 8.38/5.84 ((~m_main_v_state(s36, c_ready)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s36))),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3373, 191, 3370])).
% 8.38/5.84 tff(3375,plain,
% 8.38/5.84 ($false),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3374, 3366, 3303, 3276])).
% 8.38/5.84 tff(3376,plain,((~until5(s34)) | m_main_v_state(s37, c_busy) | xuntil6(s36)), inference(lemma,lemma(discharge,[]))).
% 8.38/5.84 tff(3377,plain,
% 8.38/5.84 (xuntil6(s36)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3376, 3275, 2920])).
% 8.38/5.84 tff(3378,plain,
% 8.38/5.84 (until5(s37)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[2967, 3377])).
% 8.38/5.84 tff(3379,assumption,(m_main_v_state(s37, c_ready)), introduced(assumption)).
% 8.38/5.84 tff(3380,plain,
% 8.38/5.84 (((~![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))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3381,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s37, s38)) | node2(s37, s38))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3382,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s37, s38)) | node2(s37, s38)),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3381, 3380])).
% 8.38/5.84 tff(3383,plain,
% 8.38/5.84 (node2(s37, s38)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3382, 7, 2928])).
% 8.38/5.84 tff(3384,plain,
% 8.38/5.84 (((~![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(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)))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3385,plain,
% 8.38/5.84 ((~![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(s37, c_ready)) | (~node2(s37, s38)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s37)))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3386,plain,
% 8.38/5.84 ((~![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(s37, c_ready)) | (~node2(s37, s38)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s37))),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3385, 3384])).
% 8.38/5.84 tff(3387,plain,
% 8.38/5.84 ((~m_main_v_state(s37, c_ready)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s37))),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3386, 191, 3383])).
% 8.38/5.84 tff(3388,plain,
% 8.38/5.84 (~m_main_v_request(s37)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3387, 3248, 3379])).
% 8.38/5.84 tff(3389,plain,
% 8.38/5.84 (((~![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)))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3390,plain,
% 8.38/5.84 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s37) | (~node4(s37)))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3391,plain,
% 8.38/5.84 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s37) | (~node4(s37))),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3390, 3389])).
% 8.38/5.84 tff(3392,plain,
% 8.38/5.84 (~node4(s37)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3391, 154, 3388])).
% 8.38/5.84 tff(3393,assumption,(until5(s37)), introduced(assumption)).
% 8.38/5.84 tff(3394,plain,
% 8.38/5.84 (xuntil6(s37) | node4(s37)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[2961, 36, 3393])).
% 8.38/5.84 tff(3395,plain,
% 8.38/5.84 (xuntil6(s37)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3394, 3392])).
% 8.38/5.84 tff(3396,plain,
% 8.38/5.84 (until5(s38)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3207, 3395])).
% 8.38/5.84 tff(3397,plain,
% 8.38/5.84 (node4(s38)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3215, 3396])).
% 8.38/5.84 tff(3398,plain,
% 8.38/5.84 ($false),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3264, 154, 3261, 3397])).
% 8.38/5.84 tff(3399,plain,(xuntil6(s38) | (~until5(s37)) | (~m_main_v_state(s37, c_ready))), inference(lemma,lemma(discharge,[]))).
% 8.38/5.84 tff(3400,plain,
% 8.38/5.84 (~m_main_v_state(s37, c_ready)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3399, 3378, 2919])).
% 8.38/5.84 tff(3401,plain,
% 8.38/5.84 (((~![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))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3402,plain,
% 8.38/5.84 ((~![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))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3403,plain,
% 8.38/5.84 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s37, c_busy) | m_main_v_state(s37, c_ready)),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3402, 3401])).
% 8.38/5.84 tff(3404,plain,
% 8.38/5.84 ($false),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3403, 213, 3275, 3400])).
% 8.38/5.84 tff(3405,plain,(xuntil6(s38) | (~until5(s34))), inference(lemma,lemma(discharge,[]))).
% 8.38/5.84 tff(3406,plain,
% 8.38/5.84 (xuntil6(s38)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3405, 2918])).
% 8.38/5.84 tff(3407,plain,
% 8.38/5.84 (((~![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))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3408,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s38, s39)) | (~xuntil6(s38)) | until5(s39))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3409,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s38, s39)) | (~xuntil6(s38)) | until5(s39)),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3408, 3407])).
% 8.38/5.84 tff(3410,plain,
% 8.38/5.84 ((~xuntil6(s38)) | until5(s39)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3409, 3225, 141])).
% 8.38/5.84 tff(3411,plain,
% 8.38/5.84 (until5(s39)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3410, 3406])).
% 8.38/5.84 tff(3412,assumption,(~xuntil6(s40)), introduced(assumption)).
% 8.38/5.84 tff(3413,assumption,(~always3(s40)), introduced(assumption)).
% 8.38/5.84 tff(3414,plain,
% 8.38/5.84 (succ(s39, s40) <=> succ(s39, s40)),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3415,axiom,(succ(s39, s40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound40')).
% 8.38/5.84 tff(3416,plain,
% 8.38/5.84 (succ(s39, s40)),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3415, 3414])).
% 8.38/5.84 tff(3417,plain,
% 8.38/5.84 (((~![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))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3418,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s39, s40)) | trans(s39, s40))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3419,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s39, s40)) | trans(s39, s40)),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3418, 3417])).
% 8.38/5.84 tff(3420,plain,
% 8.38/5.84 (trans(s39, s40)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3419, 3416, 51])).
% 8.38/5.84 tff(3421,plain,
% 8.38/5.84 (((~![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))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3422,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s39, s40)) | (~always3(s39)) | always3(s40))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3423,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s39, s40)) | (~always3(s39)) | always3(s40)),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3422, 3421])).
% 8.38/5.84 tff(3424,plain,
% 8.38/5.84 ((~always3(s39)) | always3(s40)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3423, 68, 3420])).
% 8.38/5.84 tff(3425,plain,
% 8.38/5.84 (~always3(s39)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3424, 3413])).
% 8.38/5.84 tff(3426,plain,
% 8.38/5.84 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s39) | (~node4(s39)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s39) | (~node4(s39)))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3427,plain,
% 8.38/5.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s39) | (~node4(s39)))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3428,plain,
% 8.38/5.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s39) | (~node4(s39))),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3427, 3426])).
% 8.38/5.84 tff(3429,plain,
% 8.38/5.84 (~node4(s39)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3428, 22, 3425])).
% 8.38/5.84 tff(3430,plain,
% 8.38/5.84 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s40) | (~node4(s40)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s40) | (~node4(s40)))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3431,plain,
% 8.38/5.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s40) | (~node4(s40)))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3432,plain,
% 8.38/5.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s40) | (~node4(s40))),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3431, 3430])).
% 8.38/5.84 tff(3433,plain,
% 8.38/5.84 (~node4(s40)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3432, 22, 3413])).
% 8.38/5.84 tff(3434,plain,
% 8.38/5.84 (((~![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)))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3435,plain,
% 8.38/5.84 ((node4(s40) | (~until5(s40)) | xuntil6(s40)) <=> (xuntil6(s40) | node4(s40) | (~until5(s40)))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3436,plain,
% 8.38/5.84 (((~![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))))),
% 8.38/5.84 inference(monotonicity,[status(thm)],[3435])).
% 8.38/5.84 tff(3437,plain,
% 8.38/5.84 (((~![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)))),
% 8.38/5.84 inference(transitivity,[status(thm)],[3436, 3434])).
% 8.38/5.84 tff(3438,plain,
% 8.38/5.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s40) | (~until5(s40)) | xuntil6(s40))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3439,plain,
% 8.38/5.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s40) | node4(s40) | (~until5(s40))),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3438, 3437])).
% 8.38/5.84 tff(3440,plain,
% 8.38/5.84 (node4(s40) | (~until5(s40))),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3439, 36, 3412])).
% 8.38/5.84 tff(3441,plain,
% 8.38/5.84 (~until5(s40)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3440, 3433])).
% 8.38/5.84 tff(3442,plain,
% 8.38/5.84 (((~![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))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3443,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s39, s40)) | (~xuntil6(s39)) | until5(s40))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3444,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s39, s40)) | (~xuntil6(s39)) | until5(s40)),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3443, 3442])).
% 8.38/5.84 tff(3445,plain,
% 8.38/5.84 ((~xuntil6(s39)) | until5(s40)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3444, 3416, 141])).
% 8.38/5.84 tff(3446,plain,
% 8.38/5.84 (~xuntil6(s39)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3445, 3441])).
% 8.38/5.84 tff(3447,plain,
% 8.38/5.84 (~always3(s38)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3233, 3425])).
% 8.38/5.84 tff(3448,plain,
% 8.38/5.84 (~node4(s38)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3219, 22, 3447])).
% 8.38/5.84 tff(3449,plain,
% 8.38/5.84 (~always3(s37)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[2932, 3447])).
% 8.38/5.84 tff(3450,plain,
% 8.38/5.84 (xuntil6(s37)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3202, 3449])).
% 8.38/5.84 tff(3451,plain,
% 8.38/5.84 (until5(s38)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3207, 3450])).
% 8.38/5.84 tff(3452,plain,
% 8.38/5.84 (xuntil6(s38) | node4(s38)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3214, 36, 3451])).
% 8.38/5.84 tff(3453,plain,
% 8.38/5.84 (xuntil6(s38)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3452, 3448])).
% 8.38/5.84 tff(3454,plain,
% 8.38/5.84 (until5(s39)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3410, 3453])).
% 8.38/5.84 tff(3455,plain,
% 8.38/5.84 (((~![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)))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3456,plain,
% 8.38/5.84 ((node4(s39) | (~until5(s39)) | xuntil6(s39)) <=> (xuntil6(s39) | node4(s39) | (~until5(s39)))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3457,plain,
% 8.38/5.84 (((~![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))))),
% 8.38/5.84 inference(monotonicity,[status(thm)],[3456])).
% 8.38/5.84 tff(3458,plain,
% 8.38/5.84 (((~![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)))),
% 8.38/5.84 inference(transitivity,[status(thm)],[3457, 3455])).
% 8.38/5.84 tff(3459,plain,
% 8.38/5.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s39) | (~until5(s39)) | xuntil6(s39))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3460,plain,
% 8.38/5.84 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s39) | node4(s39) | (~until5(s39))),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3459, 3458])).
% 8.38/5.84 tff(3461,plain,
% 8.38/5.84 ($false),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3460, 36, 3454, 3446, 3429])).
% 8.38/5.84 tff(3462,plain,(always3(s40) | xuntil6(s40)), inference(lemma,lemma(discharge,[]))).
% 8.38/5.84 tff(3463,plain,
% 8.38/5.84 (always3(s40)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3462, 3412])).
% 8.38/5.84 tff(3464,plain,
% 8.38/5.84 (succ(s40, s41) <=> succ(s40, s41)),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3465,axiom,(succ(s40, s41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound41')).
% 8.38/5.84 tff(3466,plain,
% 8.38/5.84 (succ(s40, s41)),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3465, 3464])).
% 8.38/5.84 tff(3467,plain,
% 8.38/5.84 (((~![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))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3468,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s40, s41)) | trans(s40, s41))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3469,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s40, s41)) | trans(s40, s41)),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3468, 3467])).
% 8.38/5.84 tff(3470,plain,
% 8.38/5.84 (trans(s40, s41)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3469, 3466, 51])).
% 8.38/5.84 tff(3471,plain,
% 8.38/5.84 (((~![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))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3472,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s40, s41)) | (~always3(s40)) | always3(s41))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3473,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s40, s41)) | (~always3(s40)) | always3(s41)),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3472, 3471])).
% 8.38/5.84 tff(3474,plain,
% 8.38/5.84 ((~always3(s40)) | always3(s41)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3473, 68, 3470])).
% 8.38/5.84 tff(3475,plain,
% 8.38/5.84 (always3(s41)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3474, 3463])).
% 8.38/5.84 tff(3476,plain,
% 8.38/5.84 (((~![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)))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3477,plain,
% 8.38/5.84 (((~m_main_v_state(s41, c_busy)) | (~always3(s41))) <=> ((~always3(s41)) | (~m_main_v_state(s41, c_busy)))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3478,plain,
% 8.38/5.84 (((~![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))))),
% 8.38/5.84 inference(monotonicity,[status(thm)],[3477])).
% 8.38/5.84 tff(3479,plain,
% 8.38/5.84 (((~![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)))),
% 8.38/5.84 inference(transitivity,[status(thm)],[3478, 3476])).
% 8.38/5.84 tff(3480,plain,
% 8.38/5.84 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s41, c_busy)) | (~always3(s41)))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3481,plain,
% 8.38/5.84 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s41)) | (~m_main_v_state(s41, c_busy))),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3480, 3479])).
% 8.38/5.84 tff(3482,plain,
% 8.38/5.84 (~m_main_v_state(s41, c_busy)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3481, 170, 3475])).
% 8.38/5.84 tff(3483,assumption,(until5(s40)), introduced(assumption)).
% 8.38/5.84 tff(3484,plain,
% 8.38/5.84 (xuntil6(s40) | node4(s40)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3439, 36, 3483])).
% 8.38/5.84 tff(3485,plain,
% 8.38/5.84 (node4(s40)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3484, 3412])).
% 8.38/5.84 tff(3486,plain,
% 8.38/5.84 (((~![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)))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3487,plain,
% 8.38/5.84 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s40) | (~node4(s40)))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3488,plain,
% 8.38/5.84 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s40) | (~node4(s40))),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3487, 3486])).
% 8.38/5.84 tff(3489,plain,
% 8.38/5.84 (m_main_v_request(s40)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3488, 154, 3485])).
% 8.38/5.84 tff(3490,plain,
% 8.38/5.84 (((~![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))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3491,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s40, s41)) | node2(s40, s41))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3492,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s40, s41)) | node2(s40, s41)),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3491, 3490])).
% 8.38/5.84 tff(3493,plain,
% 8.38/5.84 (node2(s40, s41)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3492, 7, 3470])).
% 8.38/5.84 tff(3494,plain,
% 8.38/5.84 (((~![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(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)))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3495,plain,
% 8.38/5.84 ((~![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(s40, c_ready)) | (~node2(s40, s41)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s40)))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3496,plain,
% 8.38/5.84 ((~![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(s40, c_ready)) | (~node2(s40, s41)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s40))),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3495, 3494])).
% 8.38/5.84 tff(3497,plain,
% 8.38/5.84 ((~m_main_v_state(s40, c_ready)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s40))),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3496, 191, 3493])).
% 8.38/5.84 tff(3498,plain,
% 8.38/5.84 (~m_main_v_state(s40, c_ready)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3497, 3489, 3482])).
% 8.38/5.84 tff(3499,plain,
% 8.38/5.84 (((~![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)))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3500,plain,
% 8.38/5.84 (((~m_main_v_state(s40, c_busy)) | (~always3(s40))) <=> ((~always3(s40)) | (~m_main_v_state(s40, c_busy)))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3501,plain,
% 8.38/5.84 (((~![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))))),
% 8.38/5.84 inference(monotonicity,[status(thm)],[3500])).
% 8.38/5.84 tff(3502,plain,
% 8.38/5.84 (((~![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)))),
% 8.38/5.84 inference(transitivity,[status(thm)],[3501, 3499])).
% 8.38/5.84 tff(3503,plain,
% 8.38/5.84 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s40, c_busy)) | (~always3(s40)))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3504,plain,
% 8.38/5.84 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s40)) | (~m_main_v_state(s40, c_busy))),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3503, 3502])).
% 8.38/5.84 tff(3505,plain,
% 8.38/5.84 (~m_main_v_state(s40, c_busy)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3504, 170, 3463])).
% 8.38/5.84 tff(3506,plain,
% 8.38/5.84 (((~![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))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3507,plain,
% 8.38/5.84 ((~![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))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3508,plain,
% 8.38/5.84 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s40, c_busy) | m_main_v_state(s40, c_ready)),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3507, 3506])).
% 8.38/5.84 tff(3509,plain,
% 8.38/5.84 ($false),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3508, 213, 3505, 3498])).
% 8.38/5.84 tff(3510,plain,(xuntil6(s40) | (~until5(s40))), inference(lemma,lemma(discharge,[]))).
% 8.38/5.84 tff(3511,plain,
% 8.38/5.84 (~until5(s40)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3510, 3412])).
% 8.38/5.84 tff(3512,plain,
% 8.38/5.84 (~xuntil6(s39)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3445, 3511])).
% 8.38/5.84 tff(3513,assumption,(until5(s39)), introduced(assumption)).
% 8.38/5.84 tff(3514,plain,
% 8.38/5.84 (xuntil6(s39) | node4(s39)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3460, 36, 3513])).
% 8.38/5.84 tff(3515,plain,
% 8.38/5.84 (node4(s39)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3514, 3512])).
% 8.38/5.84 tff(3516,assumption,(~m_main_v_state(s40, c_busy)), introduced(assumption)).
% 8.38/5.84 tff(3517,assumption,(node4(s39)), introduced(assumption)).
% 8.38/5.84 tff(3518,plain,
% 8.38/5.84 (((~![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)))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3519,plain,
% 8.38/5.84 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s39) | (~node4(s39)))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3520,plain,
% 8.38/5.84 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s39) | (~node4(s39))),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3519, 3518])).
% 8.38/5.84 tff(3521,plain,
% 8.38/5.84 (m_main_v_request(s39)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3520, 154, 3517])).
% 8.38/5.84 tff(3522,plain,
% 8.38/5.84 (((~![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))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3523,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s39, s40)) | node2(s39, s40))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3524,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s39, s40)) | node2(s39, s40)),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3523, 3522])).
% 8.38/5.84 tff(3525,plain,
% 8.38/5.84 (node2(s39, s40)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3524, 7, 3420])).
% 8.38/5.84 tff(3526,plain,
% 8.38/5.84 (((~![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(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)))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3527,plain,
% 8.38/5.84 ((~![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(s39, c_ready)) | (~node2(s39, s40)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s39)))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3528,plain,
% 8.38/5.84 ((~![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(s39, c_ready)) | (~node2(s39, s40)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s39))),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3527, 3526])).
% 8.38/5.84 tff(3529,plain,
% 8.38/5.84 ((~m_main_v_state(s39, c_ready)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s39))),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3528, 191, 3525])).
% 8.38/5.84 tff(3530,plain,
% 8.38/5.84 (~m_main_v_state(s39, c_ready)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3529, 3521, 3516])).
% 8.38/5.84 tff(3531,plain,
% 8.38/5.84 (always3(s39)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3428, 22, 3517])).
% 8.38/5.84 tff(3532,plain,
% 8.38/5.84 (~m_main_v_state(s39, c_busy)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3240, 170, 3531])).
% 8.38/5.84 tff(3533,plain,
% 8.38/5.84 (((~![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))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3534,plain,
% 8.38/5.84 ((~![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))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3535,plain,
% 8.38/5.84 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s39, c_busy) | m_main_v_state(s39, c_ready)),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3534, 3533])).
% 8.38/5.84 tff(3536,plain,
% 8.38/5.84 ($false),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3535, 213, 3532, 3530])).
% 8.38/5.84 tff(3537,plain,((~node4(s39)) | m_main_v_state(s40, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.38/5.84 tff(3538,plain,
% 8.38/5.84 (m_main_v_state(s40, c_busy)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3537, 3515])).
% 8.38/5.84 tff(3539,plain,
% 8.38/5.84 ($false),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3504, 170, 3463, 3538])).
% 8.38/5.84 tff(3540,plain,(xuntil6(s40) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 8.38/5.84 tff(3541,plain,
% 8.38/5.84 (xuntil6(s40)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3540, 3411])).
% 8.38/5.84 tff(3542,plain,
% 8.38/5.84 (((~![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))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3543,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s40, s41)) | (~xuntil6(s40)) | until5(s41))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3544,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s40, s41)) | (~xuntil6(s40)) | until5(s41)),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3543, 3542])).
% 8.38/5.84 tff(3545,plain,
% 8.38/5.84 ((~xuntil6(s40)) | until5(s41)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3544, 3466, 141])).
% 8.38/5.84 tff(3546,plain,
% 8.38/5.84 (until5(s41)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3545, 3541])).
% 8.38/5.84 tff(3547,assumption,(~xuntil6(s42)), introduced(assumption)).
% 8.38/5.84 tff(3548,assumption,(~always3(s42)), introduced(assumption)).
% 8.38/5.84 tff(3549,plain,
% 8.38/5.84 (succ(s41, s42) <=> succ(s41, s42)),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3550,axiom,(succ(s41, s42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound42')).
% 8.38/5.84 tff(3551,plain,
% 8.38/5.84 (succ(s41, s42)),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3550, 3549])).
% 8.38/5.84 tff(3552,plain,
% 8.38/5.84 (((~![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))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3553,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s41, s42)) | trans(s41, s42))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3554,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s41, s42)) | trans(s41, s42)),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3553, 3552])).
% 8.38/5.84 tff(3555,plain,
% 8.38/5.84 (trans(s41, s42)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3554, 3551, 51])).
% 8.38/5.84 tff(3556,plain,
% 8.38/5.84 (((~![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))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3557,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s41, s42)) | (~always3(s41)) | always3(s42))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3558,plain,
% 8.38/5.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s41, s42)) | (~always3(s41)) | always3(s42)),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3557, 3556])).
% 8.38/5.84 tff(3559,plain,
% 8.38/5.84 ((~always3(s41)) | always3(s42)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3558, 68, 3555])).
% 8.38/5.84 tff(3560,plain,
% 8.38/5.84 (~always3(s41)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3559, 3548])).
% 8.38/5.84 tff(3561,plain,
% 8.38/5.84 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s41) | (~node4(s41)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s41) | (~node4(s41)))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3562,plain,
% 8.38/5.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s41) | (~node4(s41)))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3563,plain,
% 8.38/5.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s41) | (~node4(s41))),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3562, 3561])).
% 8.38/5.84 tff(3564,plain,
% 8.38/5.84 (~node4(s41)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3563, 22, 3560])).
% 8.38/5.84 tff(3565,plain,
% 8.38/5.84 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s42) | (~node4(s42)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s42) | (~node4(s42)))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3566,plain,
% 8.38/5.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s42) | (~node4(s42)))),
% 8.38/5.84 inference(quant_inst,[status(thm)],[])).
% 8.38/5.84 tff(3567,plain,
% 8.38/5.84 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s42) | (~node4(s42))),
% 8.38/5.84 inference(modus_ponens,[status(thm)],[3566, 3565])).
% 8.38/5.84 tff(3568,plain,
% 8.38/5.84 (~node4(s42)),
% 8.38/5.84 inference(unit_resolution,[status(thm)],[3567, 22, 3548])).
% 8.38/5.84 tff(3569,plain,
% 8.38/5.84 (((~![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)))),
% 8.38/5.84 inference(rewrite,[status(thm)],[])).
% 8.38/5.84 tff(3570,plain,
% 8.38/5.84 ((node4(s42) | (~until5(s42)) | xuntil6(s42)) <=> (xuntil6(s42) | node4(s42) | (~until5(s42)))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3571,plain,
% 8.38/5.85 (((~![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))))),
% 8.38/5.85 inference(monotonicity,[status(thm)],[3570])).
% 8.38/5.85 tff(3572,plain,
% 8.38/5.85 (((~![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)))),
% 8.38/5.85 inference(transitivity,[status(thm)],[3571, 3569])).
% 8.38/5.85 tff(3573,plain,
% 8.38/5.85 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s42) | (~until5(s42)) | xuntil6(s42))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3574,plain,
% 8.38/5.85 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s42) | node4(s42) | (~until5(s42))),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3573, 3572])).
% 8.38/5.85 tff(3575,plain,
% 8.38/5.85 (node4(s42) | (~until5(s42))),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3574, 36, 3547])).
% 8.38/5.85 tff(3576,plain,
% 8.38/5.85 (~until5(s42)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3575, 3568])).
% 8.38/5.85 tff(3577,plain,
% 8.38/5.85 (((~![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))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3578,plain,
% 8.38/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s41, s42)) | (~xuntil6(s41)) | until5(s42))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3579,plain,
% 8.38/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s41, s42)) | (~xuntil6(s41)) | until5(s42)),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3578, 3577])).
% 8.38/5.85 tff(3580,plain,
% 8.38/5.85 ((~xuntil6(s41)) | until5(s42)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3579, 3551, 141])).
% 8.38/5.85 tff(3581,plain,
% 8.38/5.85 (~xuntil6(s41)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3580, 3576])).
% 8.38/5.85 tff(3582,plain,
% 8.38/5.85 (((~![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)))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3583,plain,
% 8.38/5.85 ((node4(s41) | (~until5(s41)) | xuntil6(s41)) <=> (xuntil6(s41) | node4(s41) | (~until5(s41)))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3584,plain,
% 8.38/5.85 (((~![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))))),
% 8.38/5.85 inference(monotonicity,[status(thm)],[3583])).
% 8.38/5.85 tff(3585,plain,
% 8.38/5.85 (((~![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)))),
% 8.38/5.85 inference(transitivity,[status(thm)],[3584, 3582])).
% 8.38/5.85 tff(3586,plain,
% 8.38/5.85 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s41) | (~until5(s41)) | xuntil6(s41))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3587,plain,
% 8.38/5.85 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s41) | node4(s41) | (~until5(s41))),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3586, 3585])).
% 8.38/5.85 tff(3588,plain,
% 8.38/5.85 (~until5(s41)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3587, 36, 3581, 3564])).
% 8.38/5.85 tff(3589,plain,
% 8.38/5.85 (~xuntil6(s40)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3545, 3588])).
% 8.38/5.85 tff(3590,plain,
% 8.38/5.85 (~always3(s40)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3474, 3560])).
% 8.38/5.85 tff(3591,plain,
% 8.38/5.85 (~always3(s39)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3424, 3590])).
% 8.38/5.85 tff(3592,plain,
% 8.38/5.85 (~node4(s39)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3428, 22, 3591])).
% 8.38/5.85 tff(3593,plain,
% 8.38/5.85 (~always3(s38)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3233, 3591])).
% 8.38/5.85 tff(3594,plain,
% 8.38/5.85 (~node4(s38)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3219, 22, 3593])).
% 8.38/5.85 tff(3595,plain,
% 8.38/5.85 (~always3(s37)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[2932, 3593])).
% 8.38/5.85 tff(3596,plain,
% 8.38/5.85 (xuntil6(s37)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3202, 3595])).
% 8.38/5.85 tff(3597,plain,
% 8.38/5.85 (until5(s38)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3207, 3596])).
% 8.38/5.85 tff(3598,plain,
% 8.38/5.85 (xuntil6(s38) | node4(s38)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3214, 36, 3597])).
% 8.38/5.85 tff(3599,plain,
% 8.38/5.85 (xuntil6(s38)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3598, 3594])).
% 8.38/5.85 tff(3600,plain,
% 8.38/5.85 (until5(s39)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3410, 3599])).
% 8.38/5.85 tff(3601,plain,
% 8.38/5.85 (xuntil6(s39)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3460, 36, 3600, 3592])).
% 8.38/5.85 tff(3602,plain,
% 8.38/5.85 (until5(s40)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3445, 3601])).
% 8.38/5.85 tff(3603,plain,
% 8.38/5.85 (~node4(s40)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3432, 22, 3590])).
% 8.38/5.85 tff(3604,plain,
% 8.38/5.85 (xuntil6(s40) | (~until5(s40))),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3439, 36, 3603])).
% 8.38/5.85 tff(3605,plain,
% 8.38/5.85 ($false),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3604, 3602, 3589])).
% 8.38/5.85 tff(3606,plain,(always3(s42) | xuntil6(s42)), inference(lemma,lemma(discharge,[]))).
% 8.38/5.85 tff(3607,plain,
% 8.38/5.85 (always3(s42)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3606, 3547])).
% 8.38/5.85 tff(3608,plain,
% 8.38/5.85 (succ(s42, s43) <=> succ(s42, s43)),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3609,axiom,(succ(s42, s43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound43')).
% 8.38/5.85 tff(3610,plain,
% 8.38/5.85 (succ(s42, s43)),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3609, 3608])).
% 8.38/5.85 tff(3611,plain,
% 8.38/5.85 (((~![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))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3612,plain,
% 8.38/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s42, s43)) | trans(s42, s43))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3613,plain,
% 8.38/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s42, s43)) | trans(s42, s43)),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3612, 3611])).
% 8.38/5.85 tff(3614,plain,
% 8.38/5.85 (trans(s42, s43)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3613, 3610, 51])).
% 8.38/5.85 tff(3615,plain,
% 8.38/5.85 (((~![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))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3616,plain,
% 8.38/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s42, s43)) | (~always3(s42)) | always3(s43))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3617,plain,
% 8.38/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s42, s43)) | (~always3(s42)) | always3(s43)),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3616, 3615])).
% 8.38/5.85 tff(3618,plain,
% 8.38/5.85 ((~always3(s42)) | always3(s43)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3617, 68, 3614])).
% 8.38/5.85 tff(3619,plain,
% 8.38/5.85 (always3(s43)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3618, 3607])).
% 8.38/5.85 tff(3620,plain,
% 8.38/5.85 (((~![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)))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3621,plain,
% 8.38/5.85 (((~m_main_v_state(s43, c_busy)) | (~always3(s43))) <=> ((~always3(s43)) | (~m_main_v_state(s43, c_busy)))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3622,plain,
% 8.38/5.85 (((~![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))))),
% 8.38/5.85 inference(monotonicity,[status(thm)],[3621])).
% 8.38/5.85 tff(3623,plain,
% 8.38/5.85 (((~![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)))),
% 8.38/5.85 inference(transitivity,[status(thm)],[3622, 3620])).
% 8.38/5.85 tff(3624,plain,
% 8.38/5.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s43, c_busy)) | (~always3(s43)))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3625,plain,
% 8.38/5.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s43)) | (~m_main_v_state(s43, c_busy))),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3624, 3623])).
% 8.38/5.85 tff(3626,plain,
% 8.38/5.85 (~m_main_v_state(s43, c_busy)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3625, 170, 3619])).
% 8.38/5.85 tff(3627,plain,
% 8.38/5.85 (((~![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)))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3628,plain,
% 8.38/5.85 (((~m_main_v_state(s42, c_busy)) | (~always3(s42))) <=> ((~always3(s42)) | (~m_main_v_state(s42, c_busy)))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3629,plain,
% 8.38/5.85 (((~![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))))),
% 8.38/5.85 inference(monotonicity,[status(thm)],[3628])).
% 8.38/5.85 tff(3630,plain,
% 8.38/5.85 (((~![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)))),
% 8.38/5.85 inference(transitivity,[status(thm)],[3629, 3627])).
% 8.38/5.85 tff(3631,plain,
% 8.38/5.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s42, c_busy)) | (~always3(s42)))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3632,plain,
% 8.38/5.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s42)) | (~m_main_v_state(s42, c_busy))),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3631, 3630])).
% 8.38/5.85 tff(3633,plain,
% 8.38/5.85 (~m_main_v_state(s42, c_busy)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3632, 170, 3607])).
% 8.38/5.85 tff(3634,plain,
% 8.38/5.85 (((~![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))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3635,plain,
% 8.38/5.85 ((~![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))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3636,plain,
% 8.38/5.85 ((~![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)),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3635, 3634])).
% 8.38/5.85 tff(3637,plain,
% 8.38/5.85 (m_main_v_state(s42, c_ready)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3636, 213, 3633])).
% 8.38/5.85 tff(3638,assumption,(~m_main_v_state(s42, c_busy)), introduced(assumption)).
% 8.38/5.85 tff(3639,assumption,(node4(s41)), introduced(assumption)).
% 8.38/5.85 tff(3640,plain,
% 8.38/5.85 (((~![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)))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3641,plain,
% 8.38/5.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s41) | (~node4(s41)))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3642,plain,
% 8.38/5.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s41) | (~node4(s41))),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3641, 3640])).
% 8.38/5.85 tff(3643,plain,
% 8.38/5.85 (m_main_v_request(s41)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3642, 154, 3639])).
% 8.38/5.85 tff(3644,plain,
% 8.38/5.85 (((~![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))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3645,plain,
% 8.38/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s41, s42)) | node2(s41, s42))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3646,plain,
% 8.38/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s41, s42)) | node2(s41, s42)),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3645, 3644])).
% 8.38/5.85 tff(3647,plain,
% 8.38/5.85 (node2(s41, s42)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3646, 7, 3555])).
% 8.38/5.85 tff(3648,plain,
% 8.38/5.85 (((~![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(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)))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3649,plain,
% 8.38/5.85 ((~![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(s41, c_ready)) | (~node2(s41, s42)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s41)))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3650,plain,
% 8.38/5.85 ((~![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(s41, c_ready)) | (~node2(s41, s42)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s41))),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3649, 3648])).
% 8.38/5.85 tff(3651,plain,
% 8.38/5.85 ((~m_main_v_state(s41, c_ready)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s41))),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3650, 191, 3647])).
% 8.38/5.85 tff(3652,plain,
% 8.38/5.85 (~m_main_v_state(s41, c_ready)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3651, 3643, 3638])).
% 8.38/5.85 tff(3653,plain,
% 8.38/5.85 (always3(s41)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3563, 22, 3639])).
% 8.38/5.85 tff(3654,plain,
% 8.38/5.85 (~m_main_v_state(s41, c_busy)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3481, 170, 3653])).
% 8.38/5.85 tff(3655,plain,
% 8.38/5.85 (((~![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))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3656,plain,
% 8.38/5.85 ((~![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))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3657,plain,
% 8.38/5.85 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s41, c_busy) | m_main_v_state(s41, c_ready)),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3656, 3655])).
% 8.38/5.85 tff(3658,plain,
% 8.38/5.85 ($false),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3657, 213, 3654, 3652])).
% 8.38/5.85 tff(3659,plain,((~node4(s41)) | m_main_v_state(s42, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.38/5.85 tff(3660,plain,
% 8.38/5.85 (~node4(s41)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3659, 3633])).
% 8.38/5.85 tff(3661,assumption,(until5(s41)), introduced(assumption)).
% 8.38/5.85 tff(3662,plain,
% 8.38/5.85 (xuntil6(s41) | node4(s41)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3587, 36, 3661])).
% 8.38/5.85 tff(3663,plain,
% 8.38/5.85 (xuntil6(s41)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3662, 3660])).
% 8.38/5.85 tff(3664,plain,
% 8.38/5.85 (until5(s42)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3580, 3663])).
% 8.38/5.85 tff(3665,plain,
% 8.38/5.85 (node4(s42)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3575, 3664])).
% 8.38/5.85 tff(3666,plain,
% 8.38/5.85 (((~![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)))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3667,plain,
% 8.38/5.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s42) | (~node4(s42)))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3668,plain,
% 8.38/5.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s42) | (~node4(s42))),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3667, 3666])).
% 8.38/5.85 tff(3669,plain,
% 8.38/5.85 (m_main_v_request(s42)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3668, 154, 3665])).
% 8.38/5.85 tff(3670,plain,
% 8.38/5.85 (((~![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))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3671,plain,
% 8.38/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s42, s43)) | node2(s42, s43))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3672,plain,
% 8.38/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s42, s43)) | node2(s42, s43)),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3671, 3670])).
% 8.38/5.85 tff(3673,plain,
% 8.38/5.85 (node2(s42, s43)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3672, 7, 3614])).
% 8.38/5.85 tff(3674,plain,
% 8.38/5.85 (((~![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(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)))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3675,plain,
% 8.38/5.85 ((~![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(s42, c_ready)) | (~node2(s42, s43)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s42)))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3676,plain,
% 8.38/5.85 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s42, c_ready)) | (~node2(s42, s43)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s42))),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3675, 3674])).
% 8.38/5.85 tff(3677,plain,
% 8.38/5.85 ((~m_main_v_state(s42, c_ready)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s42))),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3676, 191, 3673])).
% 8.38/5.85 tff(3678,plain,
% 8.38/5.85 ($false),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3677, 3669, 3637, 3626])).
% 8.38/5.85 tff(3679,plain,(xuntil6(s42) | (~until5(s41))), inference(lemma,lemma(discharge,[]))).
% 8.38/5.85 tff(3680,plain,
% 8.38/5.85 (xuntil6(s42)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3679, 3546])).
% 8.38/5.85 tff(3681,plain,
% 8.38/5.85 (((~![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))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3682,plain,
% 8.38/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s42, s43)) | (~xuntil6(s42)) | until5(s43))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3683,plain,
% 8.38/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s42, s43)) | (~xuntil6(s42)) | until5(s43)),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3682, 3681])).
% 8.38/5.85 tff(3684,plain,
% 8.38/5.85 ((~xuntil6(s42)) | until5(s43)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3683, 3610, 141])).
% 8.38/5.85 tff(3685,plain,
% 8.38/5.85 (until5(s43)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3684, 3680])).
% 8.38/5.85 tff(3686,assumption,(node4(s43)), introduced(assumption)).
% 8.38/5.85 tff(3687,plain,
% 8.38/5.85 (((~![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)))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3688,plain,
% 8.38/5.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s43) | (~node4(s43)))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3689,plain,
% 8.38/5.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s43) | (~node4(s43))),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3688, 3687])).
% 8.38/5.85 tff(3690,plain,
% 8.38/5.85 (m_main_v_request(s43)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3689, 154, 3686])).
% 8.38/5.85 tff(3691,plain,
% 8.38/5.85 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s43) | (~node4(s43)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s43) | (~node4(s43)))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3692,plain,
% 8.38/5.85 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s43) | (~node4(s43)))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3693,plain,
% 8.38/5.85 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s43) | (~node4(s43))),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3692, 3691])).
% 8.38/5.85 tff(3694,plain,
% 8.38/5.85 (always3(s43)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3693, 22, 3686])).
% 8.38/5.85 tff(3695,plain,
% 8.38/5.85 (succ(s43, s44) <=> succ(s43, s44)),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3696,axiom,(succ(s43, s44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound44')).
% 8.38/5.85 tff(3697,plain,
% 8.38/5.85 (succ(s43, s44)),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3696, 3695])).
% 8.38/5.85 tff(3698,plain,
% 8.38/5.85 (((~![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))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3699,plain,
% 8.38/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s43, s44)) | trans(s43, s44))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3700,plain,
% 8.38/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s43, s44)) | trans(s43, s44)),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3699, 3698])).
% 8.38/5.85 tff(3701,plain,
% 8.38/5.85 (trans(s43, s44)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3700, 3697, 51])).
% 8.38/5.85 tff(3702,plain,
% 8.38/5.85 (((~![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))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3703,plain,
% 8.38/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s43, s44)) | (~always3(s43)) | always3(s44))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3704,plain,
% 8.38/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s43, s44)) | (~always3(s43)) | always3(s44)),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3703, 3702])).
% 8.38/5.85 tff(3705,plain,
% 8.38/5.85 ((~always3(s43)) | always3(s44)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3704, 68, 3701])).
% 8.38/5.85 tff(3706,plain,
% 8.38/5.85 (always3(s44)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3705, 3694])).
% 8.38/5.85 tff(3707,plain,
% 8.38/5.85 (((~![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)))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3708,plain,
% 8.38/5.85 (((~m_main_v_state(s44, c_busy)) | (~always3(s44))) <=> ((~always3(s44)) | (~m_main_v_state(s44, c_busy)))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3709,plain,
% 8.38/5.85 (((~![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))))),
% 8.38/5.85 inference(monotonicity,[status(thm)],[3708])).
% 8.38/5.85 tff(3710,plain,
% 8.38/5.85 (((~![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)))),
% 8.38/5.85 inference(transitivity,[status(thm)],[3709, 3707])).
% 8.38/5.85 tff(3711,plain,
% 8.38/5.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s44, c_busy)) | (~always3(s44)))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3712,plain,
% 8.38/5.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s44)) | (~m_main_v_state(s44, c_busy))),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3711, 3710])).
% 8.38/5.85 tff(3713,plain,
% 8.38/5.85 (~m_main_v_state(s44, c_busy)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3712, 170, 3706])).
% 8.38/5.85 tff(3714,plain,
% 8.38/5.85 (((~![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))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3715,plain,
% 8.38/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s43, s44)) | node2(s43, s44))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3716,plain,
% 8.38/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s43, s44)) | node2(s43, s44)),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3715, 3714])).
% 8.38/5.85 tff(3717,plain,
% 8.38/5.85 (node2(s43, s44)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3716, 7, 3701])).
% 8.38/5.85 tff(3718,plain,
% 8.38/5.85 (((~![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(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)))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3719,plain,
% 8.38/5.85 ((~![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(s43, c_ready)) | (~node2(s43, s44)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s43)))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3720,plain,
% 8.38/5.85 ((~![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(s43, c_ready)) | (~node2(s43, s44)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s43))),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3719, 3718])).
% 8.38/5.85 tff(3721,plain,
% 8.38/5.85 ((~m_main_v_state(s43, c_ready)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s43))),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3720, 191, 3717])).
% 8.38/5.85 tff(3722,plain,
% 8.38/5.85 (~m_main_v_state(s43, c_ready)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3721, 3713, 3690])).
% 8.38/5.85 tff(3723,plain,
% 8.38/5.85 (~m_main_v_state(s43, c_busy)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3625, 170, 3694])).
% 8.38/5.85 tff(3724,plain,
% 8.38/5.85 (((~![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))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3725,plain,
% 8.38/5.85 ((~![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))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3726,plain,
% 8.38/5.85 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s43, c_busy) | m_main_v_state(s43, c_ready)),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3725, 3724])).
% 8.38/5.85 tff(3727,plain,
% 8.38/5.85 ($false),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3726, 213, 3723, 3722])).
% 8.38/5.85 tff(3728,plain,(~node4(s43)), inference(lemma,lemma(discharge,[]))).
% 8.38/5.85 tff(3729,plain,
% 8.38/5.85 (((~![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)))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3730,plain,
% 8.38/5.85 ((node4(s43) | (~until5(s43)) | xuntil6(s43)) <=> (xuntil6(s43) | node4(s43) | (~until5(s43)))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3731,plain,
% 8.38/5.85 (((~![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))))),
% 8.38/5.85 inference(monotonicity,[status(thm)],[3730])).
% 8.38/5.85 tff(3732,plain,
% 8.38/5.85 (((~![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)))),
% 8.38/5.85 inference(transitivity,[status(thm)],[3731, 3729])).
% 8.38/5.85 tff(3733,plain,
% 8.38/5.85 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s43) | (~until5(s43)) | xuntil6(s43))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3734,plain,
% 8.38/5.85 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s43) | node4(s43) | (~until5(s43))),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3733, 3732])).
% 8.38/5.85 tff(3735,plain,
% 8.38/5.85 (xuntil6(s43) | (~until5(s43))),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3734, 36, 3728])).
% 8.38/5.85 tff(3736,plain,
% 8.38/5.85 (xuntil6(s43)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3735, 3685])).
% 8.38/5.85 tff(3737,plain,
% 8.38/5.85 (((~![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))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3738,plain,
% 8.38/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s43, s44)) | (~xuntil6(s43)) | until5(s44))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3739,plain,
% 8.38/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s43, s44)) | (~xuntil6(s43)) | until5(s44)),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3738, 3737])).
% 8.38/5.85 tff(3740,plain,
% 8.38/5.85 ((~xuntil6(s43)) | until5(s44)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3739, 3697, 141])).
% 8.38/5.85 tff(3741,plain,
% 8.38/5.85 (until5(s44)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3740, 3736])).
% 8.38/5.85 tff(3742,assumption,(~xuntil6(s49)), introduced(assumption)).
% 8.38/5.85 tff(3743,assumption,(~always3(s49)), introduced(assumption)).
% 8.38/5.85 tff(3744,plain,
% 8.38/5.85 (succ(s48, s49) <=> succ(s48, s49)),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3745,axiom,(succ(s48, s49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound49')).
% 8.38/5.85 tff(3746,plain,
% 8.38/5.85 (succ(s48, s49)),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3745, 3744])).
% 8.38/5.85 tff(3747,plain,
% 8.38/5.85 (((~![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))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3748,plain,
% 8.38/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s48, s49)) | trans(s48, s49))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3749,plain,
% 8.38/5.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s48, s49)) | trans(s48, s49)),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3748, 3747])).
% 8.38/5.85 tff(3750,plain,
% 8.38/5.85 (trans(s48, s49)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3749, 3746, 51])).
% 8.38/5.85 tff(3751,plain,
% 8.38/5.85 (((~![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))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.85 tff(3752,plain,
% 8.38/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s48, s49)) | (~always3(s48)) | always3(s49))),
% 8.38/5.85 inference(quant_inst,[status(thm)],[])).
% 8.38/5.85 tff(3753,plain,
% 8.38/5.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s48, s49)) | (~always3(s48)) | always3(s49)),
% 8.38/5.85 inference(modus_ponens,[status(thm)],[3752, 3751])).
% 8.38/5.85 tff(3754,plain,
% 8.38/5.85 ((~always3(s48)) | always3(s49)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3753, 68, 3750])).
% 8.38/5.85 tff(3755,plain,
% 8.38/5.85 (~always3(s48)),
% 8.38/5.85 inference(unit_resolution,[status(thm)],[3754, 3743])).
% 8.38/5.85 tff(3756,plain,
% 8.38/5.85 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s48) | (~node4(s48)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s48) | (~node4(s48)))),
% 8.38/5.85 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3757,plain,
% 8.38/5.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s48) | (~node4(s48)))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3758,plain,
% 8.38/5.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s48) | (~node4(s48))),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3757, 3756])).
% 8.38/5.86 tff(3759,plain,
% 8.38/5.86 (~node4(s48)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3758, 22, 3755])).
% 8.38/5.86 tff(3760,plain,
% 8.38/5.86 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s49) | (~node4(s49)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s49) | (~node4(s49)))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3761,plain,
% 8.38/5.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s49) | (~node4(s49)))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3762,plain,
% 8.38/5.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s49) | (~node4(s49))),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3761, 3760])).
% 8.38/5.86 tff(3763,plain,
% 8.38/5.86 (~node4(s49)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3762, 22, 3743])).
% 8.38/5.86 tff(3764,plain,
% 8.38/5.86 (((~![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)))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3765,plain,
% 8.38/5.86 ((node4(s49) | (~until5(s49)) | xuntil6(s49)) <=> (xuntil6(s49) | node4(s49) | (~until5(s49)))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3766,plain,
% 8.38/5.86 (((~![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))))),
% 8.38/5.86 inference(monotonicity,[status(thm)],[3765])).
% 8.38/5.86 tff(3767,plain,
% 8.38/5.86 (((~![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)))),
% 8.38/5.86 inference(transitivity,[status(thm)],[3766, 3764])).
% 8.38/5.86 tff(3768,plain,
% 8.38/5.86 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s49) | (~until5(s49)) | xuntil6(s49))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3769,plain,
% 8.38/5.86 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s49) | node4(s49) | (~until5(s49))),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3768, 3767])).
% 8.38/5.86 tff(3770,plain,
% 8.38/5.86 (node4(s49) | (~until5(s49))),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3769, 36, 3742])).
% 8.38/5.86 tff(3771,plain,
% 8.38/5.86 (~until5(s49)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3770, 3763])).
% 8.38/5.86 tff(3772,plain,
% 8.38/5.86 (((~![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))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3773,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s48, s49)) | (~xuntil6(s48)) | until5(s49))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3774,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s48, s49)) | (~xuntil6(s48)) | until5(s49)),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3773, 3772])).
% 8.38/5.86 tff(3775,plain,
% 8.38/5.86 ((~xuntil6(s48)) | until5(s49)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3774, 3746, 141])).
% 8.38/5.86 tff(3776,plain,
% 8.38/5.86 (~xuntil6(s48)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3775, 3771])).
% 8.38/5.86 tff(3777,plain,
% 8.38/5.86 (((~![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)))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3778,plain,
% 8.38/5.86 ((node4(s48) | (~until5(s48)) | xuntil6(s48)) <=> (xuntil6(s48) | node4(s48) | (~until5(s48)))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3779,plain,
% 8.38/5.86 (((~![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))))),
% 8.38/5.86 inference(monotonicity,[status(thm)],[3778])).
% 8.38/5.86 tff(3780,plain,
% 8.38/5.86 (((~![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)))),
% 8.38/5.86 inference(transitivity,[status(thm)],[3779, 3777])).
% 8.38/5.86 tff(3781,plain,
% 8.38/5.86 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s48) | (~until5(s48)) | xuntil6(s48))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3782,plain,
% 8.38/5.86 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s48) | node4(s48) | (~until5(s48))),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3781, 3780])).
% 8.38/5.86 tff(3783,plain,
% 8.38/5.86 (~until5(s48)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3782, 36, 3776, 3759])).
% 8.38/5.86 tff(3784,plain,
% 8.38/5.86 (succ(s47, s48) <=> succ(s47, s48)),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3785,axiom,(succ(s47, s48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound48')).
% 8.38/5.86 tff(3786,plain,
% 8.38/5.86 (succ(s47, s48)),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3785, 3784])).
% 8.38/5.86 tff(3787,plain,
% 8.38/5.86 (((~![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))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3788,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s47, s48)) | (~xuntil6(s47)) | until5(s48))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3789,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s47, s48)) | (~xuntil6(s47)) | until5(s48)),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3788, 3787])).
% 8.38/5.86 tff(3790,plain,
% 8.38/5.86 ((~xuntil6(s47)) | until5(s48)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3789, 3786, 141])).
% 8.38/5.86 tff(3791,plain,
% 8.38/5.86 (~xuntil6(s47)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3790, 3783])).
% 8.38/5.86 tff(3792,plain,
% 8.38/5.86 (((~![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))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3793,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s47, s48)) | trans(s47, s48))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3794,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s47, s48)) | trans(s47, s48)),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3793, 3792])).
% 8.38/5.86 tff(3795,plain,
% 8.38/5.86 (trans(s47, s48)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3794, 3786, 51])).
% 8.38/5.86 tff(3796,plain,
% 8.38/5.86 (((~![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))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3797,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s47, s48)) | (~always3(s47)) | always3(s48))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3798,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s47, s48)) | (~always3(s47)) | always3(s48)),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3797, 3796])).
% 8.38/5.86 tff(3799,plain,
% 8.38/5.86 ((~always3(s47)) | always3(s48)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3798, 68, 3795])).
% 8.38/5.86 tff(3800,plain,
% 8.38/5.86 (~always3(s47)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3799, 3755])).
% 8.38/5.86 tff(3801,plain,
% 8.38/5.86 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s47) | (~node4(s47)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s47) | (~node4(s47)))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3802,plain,
% 8.38/5.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s47) | (~node4(s47)))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3803,plain,
% 8.38/5.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s47) | (~node4(s47))),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3802, 3801])).
% 8.38/5.86 tff(3804,plain,
% 8.38/5.86 (~node4(s47)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3803, 22, 3800])).
% 8.38/5.86 tff(3805,plain,
% 8.38/5.86 (((~![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)))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3806,plain,
% 8.38/5.86 ((node4(s47) | (~until5(s47)) | xuntil6(s47)) <=> (xuntil6(s47) | node4(s47) | (~until5(s47)))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3807,plain,
% 8.38/5.86 (((~![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))))),
% 8.38/5.86 inference(monotonicity,[status(thm)],[3806])).
% 8.38/5.86 tff(3808,plain,
% 8.38/5.86 (((~![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)))),
% 8.38/5.86 inference(transitivity,[status(thm)],[3807, 3805])).
% 8.38/5.86 tff(3809,plain,
% 8.38/5.86 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s47) | (~until5(s47)) | xuntil6(s47))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3810,plain,
% 8.38/5.86 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s47) | node4(s47) | (~until5(s47))),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3809, 3808])).
% 8.38/5.86 tff(3811,plain,
% 8.38/5.86 (xuntil6(s47) | (~until5(s47))),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3810, 36, 3804])).
% 8.38/5.86 tff(3812,plain,
% 8.38/5.86 (~until5(s47)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3811, 3791])).
% 8.38/5.86 tff(3813,plain,
% 8.38/5.86 (succ(s46, s47) <=> succ(s46, s47)),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3814,axiom,(succ(s46, s47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound47')).
% 8.38/5.86 tff(3815,plain,
% 8.38/5.86 (succ(s46, s47)),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3814, 3813])).
% 8.38/5.86 tff(3816,plain,
% 8.38/5.86 (((~![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))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3817,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s46, s47)) | (~xuntil6(s46)) | until5(s47))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3818,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s46, s47)) | (~xuntil6(s46)) | until5(s47)),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3817, 3816])).
% 8.38/5.86 tff(3819,plain,
% 8.38/5.86 ((~xuntil6(s46)) | until5(s47)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3818, 3815, 141])).
% 8.38/5.86 tff(3820,plain,
% 8.38/5.86 (~xuntil6(s46)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3819, 3812])).
% 8.38/5.86 tff(3821,plain,
% 8.38/5.86 (((~![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))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3822,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s46, s47)) | trans(s46, s47))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3823,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s46, s47)) | trans(s46, s47)),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3822, 3821])).
% 8.38/5.86 tff(3824,plain,
% 8.38/5.86 (trans(s46, s47)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3823, 3815, 51])).
% 8.38/5.86 tff(3825,plain,
% 8.38/5.86 (((~![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))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3826,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s46, s47)) | (~always3(s46)) | always3(s47))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3827,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s46, s47)) | (~always3(s46)) | always3(s47)),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3826, 3825])).
% 8.38/5.86 tff(3828,plain,
% 8.38/5.86 ((~always3(s46)) | always3(s47)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3827, 68, 3824])).
% 8.38/5.86 tff(3829,plain,
% 8.38/5.86 (~always3(s46)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3828, 3800])).
% 8.38/5.86 tff(3830,plain,
% 8.38/5.86 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s46) | (~node4(s46)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s46) | (~node4(s46)))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3831,plain,
% 8.38/5.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s46) | (~node4(s46)))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3832,plain,
% 8.38/5.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s46) | (~node4(s46))),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3831, 3830])).
% 8.38/5.86 tff(3833,plain,
% 8.38/5.86 (~node4(s46)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3832, 22, 3829])).
% 8.38/5.86 tff(3834,plain,
% 8.38/5.86 (((~![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)))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3835,plain,
% 8.38/5.86 ((node4(s46) | (~until5(s46)) | xuntil6(s46)) <=> (xuntil6(s46) | node4(s46) | (~until5(s46)))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3836,plain,
% 8.38/5.86 (((~![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))))),
% 8.38/5.86 inference(monotonicity,[status(thm)],[3835])).
% 8.38/5.86 tff(3837,plain,
% 8.38/5.86 (((~![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)))),
% 8.38/5.86 inference(transitivity,[status(thm)],[3836, 3834])).
% 8.38/5.86 tff(3838,plain,
% 8.38/5.86 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s46) | (~until5(s46)) | xuntil6(s46))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3839,plain,
% 8.38/5.86 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s46) | node4(s46) | (~until5(s46))),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3838, 3837])).
% 8.38/5.86 tff(3840,plain,
% 8.38/5.86 (xuntil6(s46) | (~until5(s46))),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3839, 36, 3833])).
% 8.38/5.86 tff(3841,plain,
% 8.38/5.86 (~until5(s46)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3840, 3820])).
% 8.38/5.86 tff(3842,plain,
% 8.38/5.86 (succ(s45, s46) <=> succ(s45, s46)),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3843,axiom,(succ(s45, s46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound46')).
% 8.38/5.86 tff(3844,plain,
% 8.38/5.86 (succ(s45, s46)),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3843, 3842])).
% 8.38/5.86 tff(3845,plain,
% 8.38/5.86 (((~![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))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3846,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s45, s46)) | (~xuntil6(s45)) | until5(s46))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3847,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s45, s46)) | (~xuntil6(s45)) | until5(s46)),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3846, 3845])).
% 8.38/5.86 tff(3848,plain,
% 8.38/5.86 ((~xuntil6(s45)) | until5(s46)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3847, 3844, 141])).
% 8.38/5.86 tff(3849,plain,
% 8.38/5.86 (~xuntil6(s45)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3848, 3841])).
% 8.38/5.86 tff(3850,plain,
% 8.38/5.86 (((~![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))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3851,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s45, s46)) | trans(s45, s46))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3852,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s45, s46)) | trans(s45, s46)),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3851, 3850])).
% 8.38/5.86 tff(3853,plain,
% 8.38/5.86 (trans(s45, s46)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3852, 3844, 51])).
% 8.38/5.86 tff(3854,plain,
% 8.38/5.86 (((~![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))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3855,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s45, s46)) | (~always3(s45)) | always3(s46))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3856,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s45, s46)) | (~always3(s45)) | always3(s46)),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3855, 3854])).
% 8.38/5.86 tff(3857,plain,
% 8.38/5.86 ((~always3(s45)) | always3(s46)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3856, 68, 3853])).
% 8.38/5.86 tff(3858,plain,
% 8.38/5.86 (~always3(s45)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3857, 3829])).
% 8.38/5.86 tff(3859,plain,
% 8.38/5.86 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s45) | (~node4(s45)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s45) | (~node4(s45)))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3860,plain,
% 8.38/5.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s45) | (~node4(s45)))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3861,plain,
% 8.38/5.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s45) | (~node4(s45))),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3860, 3859])).
% 8.38/5.86 tff(3862,plain,
% 8.38/5.86 (~node4(s45)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3861, 22, 3858])).
% 8.38/5.86 tff(3863,plain,
% 8.38/5.86 (((~![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)))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3864,plain,
% 8.38/5.86 ((node4(s45) | (~until5(s45)) | xuntil6(s45)) <=> (xuntil6(s45) | node4(s45) | (~until5(s45)))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3865,plain,
% 8.38/5.86 (((~![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))))),
% 8.38/5.86 inference(monotonicity,[status(thm)],[3864])).
% 8.38/5.86 tff(3866,plain,
% 8.38/5.86 (((~![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)))),
% 8.38/5.86 inference(transitivity,[status(thm)],[3865, 3863])).
% 8.38/5.86 tff(3867,plain,
% 8.38/5.86 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s45) | (~until5(s45)) | xuntil6(s45))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3868,plain,
% 8.38/5.86 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s45) | node4(s45) | (~until5(s45))),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3867, 3866])).
% 8.38/5.86 tff(3869,plain,
% 8.38/5.86 (xuntil6(s45) | (~until5(s45))),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3868, 36, 3862])).
% 8.38/5.86 tff(3870,plain,
% 8.38/5.86 (~until5(s45)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3869, 3849])).
% 8.38/5.86 tff(3871,plain,
% 8.38/5.86 (succ(s44, s45) <=> succ(s44, s45)),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3872,axiom,(succ(s44, s45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound45')).
% 8.38/5.86 tff(3873,plain,
% 8.38/5.86 (succ(s44, s45)),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3872, 3871])).
% 8.38/5.86 tff(3874,plain,
% 8.38/5.86 (((~![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))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3875,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s44, s45)) | (~xuntil6(s44)) | until5(s45))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3876,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s44, s45)) | (~xuntil6(s44)) | until5(s45)),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3875, 3874])).
% 8.38/5.86 tff(3877,plain,
% 8.38/5.86 ((~xuntil6(s44)) | until5(s45)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3876, 3873, 141])).
% 8.38/5.86 tff(3878,plain,
% 8.38/5.86 (~xuntil6(s44)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3877, 3870])).
% 8.38/5.86 tff(3879,plain,
% 8.38/5.86 (((~![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))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3880,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s44, s45)) | trans(s44, s45))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3881,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s44, s45)) | trans(s44, s45)),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3880, 3879])).
% 8.38/5.86 tff(3882,plain,
% 8.38/5.86 (trans(s44, s45)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3881, 3873, 51])).
% 8.38/5.86 tff(3883,plain,
% 8.38/5.86 (((~![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))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3884,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s44, s45)) | (~always3(s44)) | always3(s45))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3885,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s44, s45)) | (~always3(s44)) | always3(s45)),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3884, 3883])).
% 8.38/5.86 tff(3886,plain,
% 8.38/5.86 ((~always3(s44)) | always3(s45)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3885, 68, 3882])).
% 8.38/5.86 tff(3887,plain,
% 8.38/5.86 (~always3(s44)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3886, 3858])).
% 8.38/5.86 tff(3888,plain,
% 8.38/5.86 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s44) | (~node4(s44)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s44) | (~node4(s44)))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3889,plain,
% 8.38/5.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s44) | (~node4(s44)))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3890,plain,
% 8.38/5.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s44) | (~node4(s44))),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3889, 3888])).
% 8.38/5.86 tff(3891,plain,
% 8.38/5.86 (~node4(s44)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3890, 22, 3887])).
% 8.38/5.86 tff(3892,plain,
% 8.38/5.86 (((~![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)))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3893,plain,
% 8.38/5.86 ((node4(s44) | (~until5(s44)) | xuntil6(s44)) <=> (xuntil6(s44) | node4(s44) | (~until5(s44)))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3894,plain,
% 8.38/5.86 (((~![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))))),
% 8.38/5.86 inference(monotonicity,[status(thm)],[3893])).
% 8.38/5.86 tff(3895,plain,
% 8.38/5.86 (((~![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)))),
% 8.38/5.86 inference(transitivity,[status(thm)],[3894, 3892])).
% 8.38/5.86 tff(3896,plain,
% 8.38/5.86 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s44) | (~until5(s44)) | xuntil6(s44))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3897,plain,
% 8.38/5.86 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s44) | node4(s44) | (~until5(s44))),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3896, 3895])).
% 8.38/5.86 tff(3898,plain,
% 8.38/5.86 (xuntil6(s44) | (~until5(s44))),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3897, 36, 3891])).
% 8.38/5.86 tff(3899,plain,
% 8.38/5.86 (~until5(s44)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3898, 3878])).
% 8.38/5.86 tff(3900,plain,
% 8.38/5.86 (~always3(s43)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3705, 3887])).
% 8.38/5.86 tff(3901,plain,
% 8.38/5.86 (~always3(s42)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3618, 3900])).
% 8.38/5.86 tff(3902,plain,
% 8.38/5.86 (~always3(s41)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3559, 3901])).
% 8.38/5.86 tff(3903,plain,
% 8.38/5.86 (~always3(s40)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3474, 3902])).
% 8.38/5.86 tff(3904,plain,
% 8.38/5.86 (~always3(s39)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3424, 3903])).
% 8.38/5.86 tff(3905,plain,
% 8.38/5.86 (~node4(s39)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3428, 22, 3904])).
% 8.38/5.86 tff(3906,plain,
% 8.38/5.86 (~always3(s38)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3233, 3904])).
% 8.38/5.86 tff(3907,plain,
% 8.38/5.86 (~node4(s38)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3219, 22, 3906])).
% 8.38/5.86 tff(3908,plain,
% 8.38/5.86 (~always3(s37)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[2932, 3906])).
% 8.38/5.86 tff(3909,plain,
% 8.38/5.86 (xuntil6(s37)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3202, 3908])).
% 8.38/5.86 tff(3910,plain,
% 8.38/5.86 (until5(s38)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3207, 3909])).
% 8.38/5.86 tff(3911,plain,
% 8.38/5.86 (xuntil6(s38) | node4(s38)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3214, 36, 3910])).
% 8.38/5.86 tff(3912,plain,
% 8.38/5.86 (xuntil6(s38)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3911, 3907])).
% 8.38/5.86 tff(3913,plain,
% 8.38/5.86 (until5(s39)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3410, 3912])).
% 8.38/5.86 tff(3914,plain,
% 8.38/5.86 (xuntil6(s39)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3460, 36, 3913, 3905])).
% 8.38/5.86 tff(3915,plain,
% 8.38/5.86 (until5(s40)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3445, 3914])).
% 8.38/5.86 tff(3916,plain,
% 8.38/5.86 (~node4(s40)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3432, 22, 3903])).
% 8.38/5.86 tff(3917,plain,
% 8.38/5.86 (xuntil6(s40) | (~until5(s40))),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3439, 36, 3916])).
% 8.38/5.86 tff(3918,plain,
% 8.38/5.86 (xuntil6(s40)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3917, 3915])).
% 8.38/5.86 tff(3919,plain,
% 8.38/5.86 (until5(s41)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3545, 3918])).
% 8.38/5.86 tff(3920,plain,
% 8.38/5.86 (~node4(s41)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3563, 22, 3902])).
% 8.38/5.86 tff(3921,plain,
% 8.38/5.86 (xuntil6(s41) | (~until5(s41))),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3587, 36, 3920])).
% 8.38/5.86 tff(3922,plain,
% 8.38/5.86 (xuntil6(s41)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3921, 3919])).
% 8.38/5.86 tff(3923,plain,
% 8.38/5.86 (until5(s42)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3580, 3922])).
% 8.38/5.86 tff(3924,plain,
% 8.38/5.86 (~node4(s42)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3567, 22, 3901])).
% 8.38/5.86 tff(3925,plain,
% 8.38/5.86 (xuntil6(s42) | (~until5(s42))),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3574, 36, 3924])).
% 8.38/5.86 tff(3926,plain,
% 8.38/5.86 (xuntil6(s42)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3925, 3923])).
% 8.38/5.86 tff(3927,plain,
% 8.38/5.86 (until5(s43)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3684, 3926])).
% 8.38/5.86 tff(3928,plain,
% 8.38/5.86 (~node4(s43)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3693, 22, 3900])).
% 8.38/5.86 tff(3929,plain,
% 8.38/5.86 (xuntil6(s43) | (~until5(s43))),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3734, 36, 3928])).
% 8.38/5.86 tff(3930,plain,
% 8.38/5.86 (xuntil6(s43)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3929, 3927])).
% 8.38/5.86 tff(3931,plain,
% 8.38/5.86 ($false),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3740, 3930, 3899])).
% 8.38/5.86 tff(3932,plain,(always3(s49) | xuntil6(s49)), inference(lemma,lemma(discharge,[]))).
% 8.38/5.86 tff(3933,plain,
% 8.38/5.86 (always3(s49)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3932, 3742])).
% 8.38/5.86 tff(3934,plain,
% 8.38/5.86 (succ(s49, s50) <=> succ(s49, s50)),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3935,axiom,(succ(s49, s50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound50')).
% 8.38/5.86 tff(3936,plain,
% 8.38/5.86 (succ(s49, s50)),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3935, 3934])).
% 8.38/5.86 tff(3937,plain,
% 8.38/5.86 (((~![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))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3938,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s49, s50)) | trans(s49, s50))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3939,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s49, s50)) | trans(s49, s50)),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3938, 3937])).
% 8.38/5.86 tff(3940,plain,
% 8.38/5.86 (trans(s49, s50)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3939, 3936, 51])).
% 8.38/5.86 tff(3941,plain,
% 8.38/5.86 (((~![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))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3942,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s50)) | (~always3(s49)) | always3(s50))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3943,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s49, s50)) | (~always3(s49)) | always3(s50)),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3942, 3941])).
% 8.38/5.86 tff(3944,plain,
% 8.38/5.86 ((~always3(s49)) | always3(s50)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3943, 68, 3940])).
% 8.38/5.86 tff(3945,plain,
% 8.38/5.86 (always3(s50)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3944, 3933])).
% 8.38/5.86 tff(3946,plain,
% 8.38/5.86 (((~![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)))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3947,plain,
% 8.38/5.86 (((~m_main_v_state(s50, c_busy)) | (~always3(s50))) <=> ((~always3(s50)) | (~m_main_v_state(s50, c_busy)))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3948,plain,
% 8.38/5.86 (((~![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))))),
% 8.38/5.86 inference(monotonicity,[status(thm)],[3947])).
% 8.38/5.86 tff(3949,plain,
% 8.38/5.86 (((~![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)))),
% 8.38/5.86 inference(transitivity,[status(thm)],[3948, 3946])).
% 8.38/5.86 tff(3950,plain,
% 8.38/5.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s50, c_busy)) | (~always3(s50)))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3951,plain,
% 8.38/5.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s50)) | (~m_main_v_state(s50, c_busy))),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3950, 3949])).
% 8.38/5.86 tff(3952,plain,
% 8.38/5.86 (~m_main_v_state(s50, c_busy)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3951, 170, 3945])).
% 8.38/5.86 tff(3953,assumption,(until5(s49)), introduced(assumption)).
% 8.38/5.86 tff(3954,plain,
% 8.38/5.86 (xuntil6(s49) | node4(s49)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3769, 36, 3953])).
% 8.38/5.86 tff(3955,plain,
% 8.38/5.86 (node4(s49)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3954, 3742])).
% 8.38/5.86 tff(3956,plain,
% 8.38/5.86 (((~![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)))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3957,plain,
% 8.38/5.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s49) | (~node4(s49)))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3958,plain,
% 8.38/5.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s49) | (~node4(s49))),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3957, 3956])).
% 8.38/5.86 tff(3959,plain,
% 8.38/5.86 (m_main_v_request(s49)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3958, 154, 3955])).
% 8.38/5.86 tff(3960,plain,
% 8.38/5.86 (((~![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))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3961,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s50)) | node2(s49, s50))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3962,plain,
% 8.38/5.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s50)) | node2(s49, s50)),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3961, 3960])).
% 8.38/5.86 tff(3963,plain,
% 8.38/5.86 (node2(s49, s50)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3962, 7, 3940])).
% 8.38/5.86 tff(3964,plain,
% 8.38/5.86 (((~![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(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)))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3965,plain,
% 8.38/5.86 ((~![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(s49, c_ready)) | (~node2(s49, s50)) | m_main_v_state(s50, c_busy) | (~m_main_v_request(s49)))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3966,plain,
% 8.38/5.86 ((~![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(s49, c_ready)) | (~node2(s49, s50)) | m_main_v_state(s50, c_busy) | (~m_main_v_request(s49))),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3965, 3964])).
% 8.38/5.86 tff(3967,plain,
% 8.38/5.86 ((~m_main_v_state(s49, c_ready)) | m_main_v_state(s50, c_busy) | (~m_main_v_request(s49))),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3966, 191, 3963])).
% 8.38/5.86 tff(3968,plain,
% 8.38/5.86 (~m_main_v_state(s49, c_ready)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3967, 3959, 3952])).
% 8.38/5.86 tff(3969,plain,
% 8.38/5.86 (((~![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)))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3970,plain,
% 8.38/5.86 (((~m_main_v_state(s49, c_busy)) | (~always3(s49))) <=> ((~always3(s49)) | (~m_main_v_state(s49, c_busy)))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3971,plain,
% 8.38/5.86 (((~![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))))),
% 8.38/5.86 inference(monotonicity,[status(thm)],[3970])).
% 8.38/5.86 tff(3972,plain,
% 8.38/5.86 (((~![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)))),
% 8.38/5.86 inference(transitivity,[status(thm)],[3971, 3969])).
% 8.38/5.86 tff(3973,plain,
% 8.38/5.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s49, c_busy)) | (~always3(s49)))),
% 8.38/5.86 inference(quant_inst,[status(thm)],[])).
% 8.38/5.86 tff(3974,plain,
% 8.38/5.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s49)) | (~m_main_v_state(s49, c_busy))),
% 8.38/5.86 inference(modus_ponens,[status(thm)],[3973, 3972])).
% 8.38/5.86 tff(3975,plain,
% 8.38/5.86 (~m_main_v_state(s49, c_busy)),
% 8.38/5.86 inference(unit_resolution,[status(thm)],[3974, 170, 3933])).
% 8.38/5.86 tff(3976,plain,
% 8.38/5.86 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s49, c_busy) | m_main_v_state(s49, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s49, c_busy) | m_main_v_state(s49, c_ready))),
% 8.38/5.86 inference(rewrite,[status(thm)],[])).
% 8.38/5.86 tff(3977,plain,
% 8.38/5.86 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s49, c_busy) | m_main_v_state(s49, c_ready))),
% 8.38/5.87 inference(quant_inst,[status(thm)],[])).
% 8.38/5.87 tff(3978,plain,
% 8.38/5.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s49, c_busy) | m_main_v_state(s49, c_ready)),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[3977, 3976])).
% 8.38/5.87 tff(3979,plain,
% 8.38/5.87 ($false),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3978, 213, 3975, 3968])).
% 8.38/5.87 tff(3980,plain,(xuntil6(s49) | (~until5(s49))), inference(lemma,lemma(discharge,[]))).
% 8.38/5.87 tff(3981,plain,
% 8.38/5.87 (~until5(s49)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3980, 3742])).
% 8.38/5.87 tff(3982,plain,
% 8.38/5.87 (~xuntil6(s48)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3775, 3981])).
% 8.38/5.87 tff(3983,assumption,(~m_main_v_state(s49, c_busy)), introduced(assumption)).
% 8.38/5.87 tff(3984,assumption,(~xuntil6(s48)), introduced(assumption)).
% 8.38/5.87 tff(3985,assumption,(~m_main_v_state(s45, c_ready)), introduced(assumption)).
% 8.38/5.87 tff(3986,assumption,(~m_main_v_state(s45, c_busy)), introduced(assumption)).
% 8.38/5.87 tff(3987,plain,
% 8.38/5.87 (((~![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))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(3988,plain,
% 8.38/5.87 ((~![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))),
% 8.38/5.87 inference(quant_inst,[status(thm)],[])).
% 8.38/5.87 tff(3989,plain,
% 8.38/5.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s45, c_busy) | m_main_v_state(s45, c_ready)),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[3988, 3987])).
% 8.38/5.87 tff(3990,plain,
% 8.38/5.87 ($false),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3989, 213, 3986, 3985])).
% 8.38/5.87 tff(3991,plain,(m_main_v_state(s45, c_ready) | m_main_v_state(s45, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.38/5.87 tff(3992,plain,
% 8.38/5.87 (m_main_v_state(s45, c_busy)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3991, 3985])).
% 8.38/5.87 tff(3993,plain,
% 8.38/5.87 (((~![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)))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(3994,plain,
% 8.38/5.87 (((~m_main_v_state(s45, c_busy)) | (~always3(s45))) <=> ((~always3(s45)) | (~m_main_v_state(s45, c_busy)))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(3995,plain,
% 8.38/5.87 (((~![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))))),
% 8.38/5.87 inference(monotonicity,[status(thm)],[3994])).
% 8.38/5.87 tff(3996,plain,
% 8.38/5.87 (((~![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)))),
% 8.38/5.87 inference(transitivity,[status(thm)],[3995, 3993])).
% 8.38/5.87 tff(3997,plain,
% 8.38/5.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s45, c_busy)) | (~always3(s45)))),
% 8.38/5.87 inference(quant_inst,[status(thm)],[])).
% 8.38/5.87 tff(3998,plain,
% 8.38/5.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s45)) | (~m_main_v_state(s45, c_busy))),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[3997, 3996])).
% 8.38/5.87 tff(3999,plain,
% 8.38/5.87 (~always3(s45)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3998, 170, 3992])).
% 8.38/5.87 tff(4000,plain,
% 8.38/5.87 (~always3(s44)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3886, 3999])).
% 8.38/5.87 tff(4001,plain,
% 8.38/5.87 (~always3(s43)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3705, 4000])).
% 8.38/5.87 tff(4002,plain,
% 8.38/5.87 (~always3(s42)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3618, 4001])).
% 8.38/5.87 tff(4003,plain,
% 8.38/5.87 (~always3(s41)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3559, 4002])).
% 8.38/5.87 tff(4004,plain,
% 8.38/5.87 (~always3(s40)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3474, 4003])).
% 8.38/5.87 tff(4005,plain,
% 8.38/5.87 (~always3(s39)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3424, 4004])).
% 8.38/5.87 tff(4006,plain,
% 8.38/5.87 (~node4(s39)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3428, 22, 4005])).
% 8.38/5.87 tff(4007,plain,
% 8.38/5.87 (~always3(s38)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3233, 4005])).
% 8.38/5.87 tff(4008,plain,
% 8.38/5.87 (~node4(s38)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3219, 22, 4007])).
% 8.38/5.87 tff(4009,plain,
% 8.38/5.87 (~always3(s37)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[2932, 4007])).
% 8.38/5.87 tff(4010,plain,
% 8.38/5.87 (xuntil6(s37)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3202, 4009])).
% 8.38/5.87 tff(4011,plain,
% 8.38/5.87 (until5(s38)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3207, 4010])).
% 8.38/5.87 tff(4012,plain,
% 8.38/5.87 (xuntil6(s38)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3214, 36, 4011, 4008])).
% 8.38/5.87 tff(4013,plain,
% 8.38/5.87 (until5(s39)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3410, 4012])).
% 8.38/5.87 tff(4014,plain,
% 8.38/5.87 (xuntil6(s39)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3460, 36, 4013, 4006])).
% 8.38/5.87 tff(4015,plain,
% 8.38/5.87 (until5(s40)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3445, 4014])).
% 8.38/5.87 tff(4016,plain,
% 8.38/5.87 (~node4(s40)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3432, 22, 4004])).
% 8.38/5.87 tff(4017,plain,
% 8.38/5.87 (xuntil6(s40) | (~until5(s40))),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3439, 36, 4016])).
% 8.38/5.87 tff(4018,plain,
% 8.38/5.87 (xuntil6(s40)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4017, 4015])).
% 8.38/5.87 tff(4019,plain,
% 8.38/5.87 (until5(s41)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3545, 4018])).
% 8.38/5.87 tff(4020,plain,
% 8.38/5.87 (~node4(s41)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3563, 22, 4003])).
% 8.38/5.87 tff(4021,plain,
% 8.38/5.87 (xuntil6(s41) | (~until5(s41))),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3587, 36, 4020])).
% 8.38/5.87 tff(4022,plain,
% 8.38/5.87 (xuntil6(s41)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4021, 4019])).
% 8.38/5.87 tff(4023,plain,
% 8.38/5.87 (until5(s42)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3580, 4022])).
% 8.38/5.87 tff(4024,plain,
% 8.38/5.87 (~node4(s42)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3567, 22, 4002])).
% 8.38/5.87 tff(4025,plain,
% 8.38/5.87 (xuntil6(s42) | (~until5(s42))),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3574, 36, 4024])).
% 8.38/5.87 tff(4026,plain,
% 8.38/5.87 (xuntil6(s42)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4025, 4023])).
% 8.38/5.87 tff(4027,plain,
% 8.38/5.87 (until5(s43)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3684, 4026])).
% 8.38/5.87 tff(4028,plain,
% 8.38/5.87 (xuntil6(s43)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3735, 4027])).
% 8.38/5.87 tff(4029,plain,
% 8.38/5.87 (until5(s44)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3740, 4028])).
% 8.38/5.87 tff(4030,plain,
% 8.38/5.87 (~node4(s44)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3890, 22, 4000])).
% 8.38/5.87 tff(4031,plain,
% 8.38/5.87 (xuntil6(s44) | (~until5(s44))),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3897, 36, 4030])).
% 8.38/5.87 tff(4032,plain,
% 8.38/5.87 (xuntil6(s44)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4031, 4029])).
% 8.38/5.87 tff(4033,plain,
% 8.38/5.87 (until5(s45)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3877, 4032])).
% 8.38/5.87 tff(4034,assumption,(node4(s45)), introduced(assumption)).
% 8.38/5.87 tff(4035,plain,
% 8.38/5.87 (((~![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)))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(4036,plain,
% 8.38/5.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s45) | (~node4(s45)))),
% 8.38/5.87 inference(quant_inst,[status(thm)],[])).
% 8.38/5.87 tff(4037,plain,
% 8.38/5.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s45) | (~node4(s45))),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[4036, 4035])).
% 8.38/5.87 tff(4038,plain,
% 8.38/5.87 (m_main_v_request(s45)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4037, 154, 4034])).
% 8.38/5.87 tff(4039,plain,
% 8.38/5.87 (always3(s45)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3861, 22, 4034])).
% 8.38/5.87 tff(4040,plain,
% 8.38/5.87 (always3(s46)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3857, 4039])).
% 8.38/5.87 tff(4041,plain,
% 8.38/5.87 (((~![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)))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(4042,plain,
% 8.38/5.87 (((~m_main_v_state(s46, c_busy)) | (~always3(s46))) <=> ((~always3(s46)) | (~m_main_v_state(s46, c_busy)))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(4043,plain,
% 8.38/5.87 (((~![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))))),
% 8.38/5.87 inference(monotonicity,[status(thm)],[4042])).
% 8.38/5.87 tff(4044,plain,
% 8.38/5.87 (((~![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)))),
% 8.38/5.87 inference(transitivity,[status(thm)],[4043, 4041])).
% 8.38/5.87 tff(4045,plain,
% 8.38/5.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s46, c_busy)) | (~always3(s46)))),
% 8.38/5.87 inference(quant_inst,[status(thm)],[])).
% 8.38/5.87 tff(4046,plain,
% 8.38/5.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s46)) | (~m_main_v_state(s46, c_busy))),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[4045, 4044])).
% 8.38/5.87 tff(4047,plain,
% 8.38/5.87 (~m_main_v_state(s46, c_busy)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4046, 170, 4040])).
% 8.38/5.87 tff(4048,plain,
% 8.38/5.87 (((~![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))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(4049,plain,
% 8.38/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s45, s46)) | node2(s45, s46))),
% 8.38/5.87 inference(quant_inst,[status(thm)],[])).
% 8.38/5.87 tff(4050,plain,
% 8.38/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s45, s46)) | node2(s45, s46)),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[4049, 4048])).
% 8.38/5.87 tff(4051,plain,
% 8.38/5.87 (node2(s45, s46)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4050, 7, 3853])).
% 8.38/5.87 tff(4052,plain,
% 8.38/5.87 (((~![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(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)))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(4053,plain,
% 8.38/5.87 ((~![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(s45, c_ready)) | (~node2(s45, s46)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s45)))),
% 8.38/5.87 inference(quant_inst,[status(thm)],[])).
% 8.38/5.87 tff(4054,plain,
% 8.38/5.87 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s45, c_ready)) | (~node2(s45, s46)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s45))),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[4053, 4052])).
% 8.38/5.87 tff(4055,plain,
% 8.38/5.87 ((~m_main_v_state(s45, c_ready)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s45))),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4054, 191, 4051])).
% 8.38/5.87 tff(4056,plain,
% 8.38/5.87 (~m_main_v_state(s45, c_ready)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4055, 4047, 4038])).
% 8.38/5.87 tff(4057,plain,
% 8.38/5.87 (~m_main_v_state(s45, c_busy)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3998, 170, 4039])).
% 8.38/5.87 tff(4058,plain,
% 8.38/5.87 ($false),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3989, 213, 4057, 4056])).
% 8.38/5.87 tff(4059,plain,(~node4(s45)), inference(lemma,lemma(discharge,[]))).
% 8.38/5.87 tff(4060,plain,
% 8.38/5.87 (xuntil6(s45) | (~until5(s45))),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3868, 36, 4059])).
% 8.38/5.87 tff(4061,plain,
% 8.38/5.87 (xuntil6(s45)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4060, 4033])).
% 8.38/5.87 tff(4062,plain,
% 8.38/5.87 (until5(s46)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3848, 4061])).
% 8.38/5.87 tff(4063,assumption,(~always3(s48)), introduced(assumption)).
% 8.38/5.87 tff(4064,plain,
% 8.38/5.87 (~always3(s47)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3799, 4063])).
% 8.38/5.87 tff(4065,plain,
% 8.38/5.87 (~always3(s46)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3828, 4064])).
% 8.38/5.87 tff(4066,plain,
% 8.38/5.87 (~node4(s46)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3832, 22, 4065])).
% 8.38/5.87 tff(4067,assumption,(until5(s46)), introduced(assumption)).
% 8.38/5.87 tff(4068,plain,
% 8.38/5.87 (xuntil6(s46) | node4(s46)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3839, 36, 4067])).
% 8.38/5.87 tff(4069,plain,
% 8.38/5.87 (xuntil6(s46)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4068, 4066])).
% 8.38/5.87 tff(4070,plain,
% 8.38/5.87 (until5(s47)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3819, 4069])).
% 8.38/5.87 tff(4071,assumption,(node4(s47)), introduced(assumption)).
% 8.38/5.87 tff(4072,plain,
% 8.38/5.87 (((~![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)))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(4073,plain,
% 8.38/5.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s47) | (~node4(s47)))),
% 8.38/5.87 inference(quant_inst,[status(thm)],[])).
% 8.38/5.87 tff(4074,plain,
% 8.38/5.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s47) | (~node4(s47))),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[4073, 4072])).
% 8.38/5.87 tff(4075,plain,
% 8.38/5.87 (m_main_v_request(s47)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4074, 154, 4071])).
% 8.38/5.87 tff(4076,plain,
% 8.38/5.87 (always3(s47)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3803, 22, 4071])).
% 8.38/5.87 tff(4077,plain,
% 8.38/5.87 (always3(s48)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3799, 4076])).
% 8.38/5.87 tff(4078,plain,
% 8.38/5.87 (((~![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)))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(4079,plain,
% 8.38/5.87 (((~m_main_v_state(s48, c_busy)) | (~always3(s48))) <=> ((~always3(s48)) | (~m_main_v_state(s48, c_busy)))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(4080,plain,
% 8.38/5.87 (((~![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))))),
% 8.38/5.87 inference(monotonicity,[status(thm)],[4079])).
% 8.38/5.87 tff(4081,plain,
% 8.38/5.87 (((~![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)))),
% 8.38/5.87 inference(transitivity,[status(thm)],[4080, 4078])).
% 8.38/5.87 tff(4082,plain,
% 8.38/5.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s48, c_busy)) | (~always3(s48)))),
% 8.38/5.87 inference(quant_inst,[status(thm)],[])).
% 8.38/5.87 tff(4083,plain,
% 8.38/5.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s48)) | (~m_main_v_state(s48, c_busy))),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[4082, 4081])).
% 8.38/5.87 tff(4084,plain,
% 8.38/5.87 (~m_main_v_state(s48, c_busy)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4083, 170, 4077])).
% 8.38/5.87 tff(4085,plain,
% 8.38/5.87 (((~![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))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(4086,plain,
% 8.38/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s47, s48)) | node2(s47, s48))),
% 8.38/5.87 inference(quant_inst,[status(thm)],[])).
% 8.38/5.87 tff(4087,plain,
% 8.38/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s47, s48)) | node2(s47, s48)),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[4086, 4085])).
% 8.38/5.87 tff(4088,plain,
% 8.38/5.87 (node2(s47, s48)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4087, 7, 3795])).
% 8.38/5.87 tff(4089,plain,
% 8.38/5.87 (((~![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(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)))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(4090,plain,
% 8.38/5.87 ((~![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(s47, c_ready)) | (~node2(s47, s48)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s47)))),
% 8.38/5.87 inference(quant_inst,[status(thm)],[])).
% 8.38/5.87 tff(4091,plain,
% 8.38/5.87 ((~![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(s47, c_ready)) | (~node2(s47, s48)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s47))),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[4090, 4089])).
% 8.38/5.87 tff(4092,plain,
% 8.38/5.87 ((~m_main_v_state(s47, c_ready)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s47))),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4091, 191, 4088])).
% 8.38/5.87 tff(4093,plain,
% 8.38/5.87 (~m_main_v_state(s47, c_ready)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4092, 4084, 4075])).
% 8.38/5.87 tff(4094,plain,
% 8.38/5.87 (((~![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)))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(4095,plain,
% 8.38/5.87 (((~m_main_v_state(s47, c_busy)) | (~always3(s47))) <=> ((~always3(s47)) | (~m_main_v_state(s47, c_busy)))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(4096,plain,
% 8.38/5.87 (((~![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))))),
% 8.38/5.87 inference(monotonicity,[status(thm)],[4095])).
% 8.38/5.87 tff(4097,plain,
% 8.38/5.87 (((~![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)))),
% 8.38/5.87 inference(transitivity,[status(thm)],[4096, 4094])).
% 8.38/5.87 tff(4098,plain,
% 8.38/5.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s47, c_busy)) | (~always3(s47)))),
% 8.38/5.87 inference(quant_inst,[status(thm)],[])).
% 8.38/5.87 tff(4099,plain,
% 8.38/5.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s47)) | (~m_main_v_state(s47, c_busy))),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[4098, 4097])).
% 8.38/5.87 tff(4100,plain,
% 8.38/5.87 (~m_main_v_state(s47, c_busy)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4099, 170, 4076])).
% 8.38/5.87 tff(4101,plain,
% 8.38/5.87 (((~![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))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(4102,plain,
% 8.38/5.87 ((~![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))),
% 8.38/5.87 inference(quant_inst,[status(thm)],[])).
% 8.38/5.87 tff(4103,plain,
% 8.38/5.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s47, c_busy) | m_main_v_state(s47, c_ready)),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[4102, 4101])).
% 8.38/5.87 tff(4104,plain,
% 8.38/5.87 ($false),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4103, 213, 4100, 4093])).
% 8.38/5.87 tff(4105,plain,(~node4(s47)), inference(lemma,lemma(discharge,[]))).
% 8.38/5.87 tff(4106,plain,
% 8.38/5.87 (xuntil6(s47) | (~until5(s47))),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3810, 36, 4105])).
% 8.38/5.87 tff(4107,plain,
% 8.38/5.87 (xuntil6(s47)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4106, 4070])).
% 8.38/5.87 tff(4108,plain,
% 8.38/5.87 (until5(s48)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3790, 4107])).
% 8.38/5.87 tff(4109,plain,
% 8.38/5.87 (node4(s48) | (~until5(s48))),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3782, 36, 3984])).
% 8.38/5.87 tff(4110,plain,
% 8.38/5.87 (node4(s48)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4109, 4108])).
% 8.38/5.87 tff(4111,plain,
% 8.38/5.87 ($false),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3758, 22, 4063, 4110])).
% 8.38/5.87 tff(4112,plain,(always3(s48) | xuntil6(s48) | (~until5(s46))), inference(lemma,lemma(discharge,[]))).
% 8.38/5.87 tff(4113,plain,
% 8.38/5.87 (always3(s48)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4112, 4062, 3984])).
% 8.38/5.87 tff(4114,plain,
% 8.38/5.87 (~m_main_v_state(s48, c_busy)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4083, 170, 4113])).
% 8.38/5.87 tff(4115,plain,
% 8.38/5.87 (((~![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))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(4116,plain,
% 8.38/5.87 ((~![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))),
% 8.38/5.87 inference(quant_inst,[status(thm)],[])).
% 8.38/5.87 tff(4117,plain,
% 8.38/5.87 ((~![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)),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[4116, 4115])).
% 8.38/5.87 tff(4118,plain,
% 8.38/5.87 (m_main_v_state(s48, c_ready)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4117, 213, 4114])).
% 8.38/5.87 tff(4119,plain,
% 8.38/5.87 (((~![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))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(4120,plain,
% 8.38/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s48, s49)) | node2(s48, s49))),
% 8.38/5.87 inference(quant_inst,[status(thm)],[])).
% 8.38/5.87 tff(4121,plain,
% 8.38/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s48, s49)) | node2(s48, s49)),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[4120, 4119])).
% 8.38/5.87 tff(4122,plain,
% 8.38/5.87 (node2(s48, s49)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4121, 7, 3750])).
% 8.38/5.87 tff(4123,plain,
% 8.38/5.87 (((~![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(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)))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(4124,plain,
% 8.38/5.87 ((~![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(s48, c_ready)) | (~node2(s48, s49)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s48)))),
% 8.38/5.87 inference(quant_inst,[status(thm)],[])).
% 8.38/5.87 tff(4125,plain,
% 8.38/5.87 ((~![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(s48, c_ready)) | (~node2(s48, s49)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s48))),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[4124, 4123])).
% 8.38/5.87 tff(4126,plain,
% 8.38/5.87 ((~m_main_v_state(s48, c_ready)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s48))),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4125, 191, 4122])).
% 8.38/5.87 tff(4127,plain,
% 8.38/5.87 (~m_main_v_request(s48)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4126, 4118, 3983])).
% 8.38/5.87 tff(4128,plain,
% 8.38/5.87 (((~![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)))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(4129,plain,
% 8.38/5.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s48) | (~node4(s48)))),
% 8.38/5.87 inference(quant_inst,[status(thm)],[])).
% 8.38/5.87 tff(4130,plain,
% 8.38/5.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s48) | (~node4(s48))),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[4129, 4128])).
% 8.38/5.87 tff(4131,plain,
% 8.38/5.87 (~node4(s48)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4130, 154, 4127])).
% 8.38/5.87 tff(4132,plain,
% 8.38/5.87 (~until5(s48)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4109, 4131])).
% 8.38/5.87 tff(4133,plain,
% 8.38/5.87 (~xuntil6(s47)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3790, 4132])).
% 8.38/5.87 tff(4134,plain,
% 8.38/5.87 (~until5(s47)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4106, 4133])).
% 8.38/5.87 tff(4135,plain,
% 8.38/5.87 (~xuntil6(s46)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3819, 4134])).
% 8.38/5.87 tff(4136,plain,
% 8.38/5.87 (xuntil6(s46) | node4(s46)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3839, 36, 4062])).
% 8.38/5.87 tff(4137,plain,
% 8.38/5.87 (node4(s46)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4136, 4135])).
% 8.38/5.87 tff(4138,plain,
% 8.38/5.87 (((~![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)))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(4139,plain,
% 8.38/5.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s46) | (~node4(s46)))),
% 8.38/5.87 inference(quant_inst,[status(thm)],[])).
% 8.38/5.87 tff(4140,plain,
% 8.38/5.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s46) | (~node4(s46))),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[4139, 4138])).
% 8.38/5.87 tff(4141,plain,
% 8.38/5.87 (m_main_v_request(s46)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4140, 154, 4137])).
% 8.38/5.87 tff(4142,plain,
% 8.38/5.87 (always3(s46)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3832, 22, 4137])).
% 8.38/5.87 tff(4143,plain,
% 8.38/5.87 (always3(s47)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[3828, 4142])).
% 8.38/5.87 tff(4144,plain,
% 8.38/5.87 (~m_main_v_state(s47, c_busy)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4099, 170, 4143])).
% 8.38/5.87 tff(4145,plain,
% 8.38/5.87 (^[X: $i] : refl((m_main_v_state(X, c_ready) | (~node1(X))) <=> (m_main_v_state(X, c_ready) | (~node1(X))))),
% 8.38/5.87 inference(bind,[status(th)],[])).
% 8.38/5.87 tff(4146,plain,
% 8.38/5.87 (![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X))) <=> ![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 8.38/5.87 inference(quant_intro,[status(thm)],[4145])).
% 8.38/5.87 tff(4147,plain,
% 8.38/5.87 (![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X))) <=> ![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(4148,axiom,(![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_4')).
% 8.38/5.87 tff(4149,plain,
% 8.38/5.87 (![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[4148, 4147])).
% 8.38/5.87 tff(4150,plain,(
% 8.38/5.87 ![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 8.38/5.87 inference(skolemize,[status(sab)],[4149])).
% 8.38/5.87 tff(4151,plain,
% 8.38/5.87 (![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[4150, 4146])).
% 8.38/5.87 tff(4152,plain,
% 8.38/5.87 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s45, c_ready) | (~node1(s45)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s45, c_ready) | (~node1(s45)))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(4153,plain,
% 8.38/5.87 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s45, c_ready) | (~node1(s45)))),
% 8.38/5.87 inference(quant_inst,[status(thm)],[])).
% 8.38/5.87 tff(4154,plain,
% 8.38/5.87 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s45, c_ready) | (~node1(s45))),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[4153, 4152])).
% 8.38/5.87 tff(4155,plain,
% 8.38/5.87 (~node1(s45)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4154, 4151, 3985])).
% 8.38/5.87 tff(4156,plain,
% 8.38/5.87 (~m_main_v_state(s46, c_busy)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4046, 170, 4142])).
% 8.38/5.87 tff(4157,plain,
% 8.38/5.87 (^[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)))),
% 8.38/5.87 inference(bind,[status(th)],[])).
% 8.38/5.87 tff(4158,plain,
% 8.38/5.87 (![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))),
% 8.38/5.87 inference(quant_intro,[status(thm)],[4157])).
% 8.38/5.87 tff(4159,plain,
% 8.38/5.87 (![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))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(4160,plain,
% 8.38/5.87 (^[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))))),
% 8.38/5.87 inference(bind,[status(th)],[])).
% 8.38/5.87 tff(4161,plain,
% 8.38/5.87 (![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))),
% 8.38/5.87 inference(quant_intro,[status(thm)],[4160])).
% 8.38/5.87 tff(4162,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/sandbox/benchmark/theBenchmark.p','m_main_7')).
% 8.38/5.87 tff(4163,plain,
% 8.38/5.87 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[4162, 4161])).
% 8.38/5.87 tff(4164,plain,
% 8.38/5.87 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[4163, 4159])).
% 8.38/5.87 tff(4165,plain,(
% 8.38/5.87 ![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 8.38/5.87 inference(skolemize,[status(sab)],[4164])).
% 8.38/5.87 tff(4166,plain,
% 8.38/5.87 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[4165, 4158])).
% 8.38/5.87 tff(4167,plain,
% 8.38/5.87 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s45, s46)) | m_main_v_state(s46, c_busy) | node1(s45) | m_main_v_state(s46, 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(s45, s46)) | m_main_v_state(s46, c_busy) | node1(s45) | m_main_v_state(s46, c_ready))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(4168,plain,
% 8.38/5.87 ((node1(s45) | m_main_v_state(s46, c_ready) | (~node2(s45, s46)) | m_main_v_state(s46, c_busy)) <=> ((~node2(s45, s46)) | m_main_v_state(s46, c_busy) | node1(s45) | m_main_v_state(s46, c_ready))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(4169,plain,
% 8.38/5.87 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s45) | m_main_v_state(s46, c_ready) | (~node2(s45, s46)) | m_main_v_state(s46, 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(s45, s46)) | m_main_v_state(s46, c_busy) | node1(s45) | m_main_v_state(s46, c_ready)))),
% 8.38/5.87 inference(monotonicity,[status(thm)],[4168])).
% 8.38/5.87 tff(4170,plain,
% 8.38/5.87 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s45) | m_main_v_state(s46, c_ready) | (~node2(s45, s46)) | m_main_v_state(s46, 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(s45, s46)) | m_main_v_state(s46, c_busy) | node1(s45) | m_main_v_state(s46, c_ready))),
% 8.38/5.87 inference(transitivity,[status(thm)],[4169, 4167])).
% 8.38/5.87 tff(4171,plain,
% 8.38/5.87 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s45) | m_main_v_state(s46, c_ready) | (~node2(s45, s46)) | m_main_v_state(s46, c_busy))),
% 8.38/5.87 inference(quant_inst,[status(thm)],[])).
% 8.38/5.87 tff(4172,plain,
% 8.38/5.87 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s45, s46)) | m_main_v_state(s46, c_busy) | node1(s45) | m_main_v_state(s46, c_ready)),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[4171, 4170])).
% 8.38/5.87 tff(4173,plain,
% 8.38/5.87 (m_main_v_state(s46, c_busy) | node1(s45) | m_main_v_state(s46, c_ready)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4172, 4166, 4051])).
% 8.38/5.87 tff(4174,plain,
% 8.38/5.87 (m_main_v_state(s46, c_ready)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4173, 4156, 4155])).
% 8.38/5.87 tff(4175,plain,
% 8.38/5.87 (((~![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))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(4176,plain,
% 8.38/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s46, s47)) | node2(s46, s47))),
% 8.38/5.87 inference(quant_inst,[status(thm)],[])).
% 8.38/5.87 tff(4177,plain,
% 8.38/5.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s46, s47)) | node2(s46, s47)),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[4176, 4175])).
% 8.38/5.87 tff(4178,plain,
% 8.38/5.87 (node2(s46, s47)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4177, 7, 3824])).
% 8.38/5.87 tff(4179,plain,
% 8.38/5.87 (((~![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(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)))),
% 8.38/5.87 inference(rewrite,[status(thm)],[])).
% 8.38/5.87 tff(4180,plain,
% 8.38/5.87 ((~![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(s46, c_ready)) | (~node2(s46, s47)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s46)))),
% 8.38/5.87 inference(quant_inst,[status(thm)],[])).
% 8.38/5.87 tff(4181,plain,
% 8.38/5.87 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s46, c_ready)) | (~node2(s46, s47)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s46))),
% 8.38/5.87 inference(modus_ponens,[status(thm)],[4180, 4179])).
% 8.38/5.87 tff(4182,plain,
% 8.38/5.87 ((~m_main_v_state(s46, c_ready)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s46))),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4181, 191, 4178])).
% 8.38/5.87 tff(4183,plain,
% 8.38/5.87 ($false),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4182, 4174, 4144, 4141])).
% 8.38/5.87 tff(4184,plain,(m_main_v_state(s45, c_ready) | xuntil6(s48) | m_main_v_state(s49, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.38/5.87 tff(4185,plain,
% 8.38/5.87 (m_main_v_state(s45, c_ready)),
% 8.38/5.87 inference(unit_resolution,[status(thm)],[4184, 3975, 3982])).
% 8.38/5.87 tff(4186,plain,
% 8.38/5.87 (^[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))))),
% 8.38/5.87 inference(bind,[status(th)],[])).
% 8.38/5.87 tff(4187,plain,
% 8.38/5.87 (![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)))),
% 8.38/5.88 inference(quant_intro,[status(thm)],[4186])).
% 8.38/5.88 tff(4188,plain,
% 8.38/5.88 (![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)))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4189,plain,
% 8.38/5.88 (^[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))))),
% 8.38/5.88 inference(bind,[status(th)],[])).
% 8.38/5.88 tff(4190,plain,
% 8.38/5.88 (![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)))),
% 8.38/5.88 inference(quant_intro,[status(thm)],[4189])).
% 8.38/5.88 tff(4191,axiom,(![X: $i] : ((~m_main_v_state(X, c_ready)) | (~m_main_v_state(X, c_busy)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_2')).
% 8.38/5.88 tff(4192,plain,
% 8.38/5.88 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready)))),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4191, 4190])).
% 8.38/5.88 tff(4193,plain,
% 8.38/5.88 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready)))),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4192, 4188])).
% 8.38/5.88 tff(4194,plain,(
% 8.38/5.88 ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready)))),
% 8.38/5.88 inference(skolemize,[status(sab)],[4193])).
% 8.38/5.88 tff(4195,plain,
% 8.38/5.88 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready)))),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4194, 4187])).
% 8.38/5.88 tff(4196,plain,
% 8.38/5.88 (((~![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)))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4197,plain,
% 8.38/5.88 ((~![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)))),
% 8.38/5.88 inference(quant_inst,[status(thm)],[])).
% 8.38/5.88 tff(4198,plain,
% 8.38/5.88 ((~![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))),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4197, 4196])).
% 8.38/5.88 tff(4199,plain,
% 8.38/5.88 (~m_main_v_state(s45, c_busy)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4198, 4195, 4185])).
% 8.38/5.88 tff(4200,assumption,(~always3(s46)), introduced(assumption)).
% 8.38/5.88 tff(4201,plain,
% 8.38/5.88 (~always3(s45)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3857, 4200])).
% 8.38/5.88 tff(4202,plain,
% 8.38/5.88 (~always3(s44)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3886, 4201])).
% 8.38/5.88 tff(4203,plain,
% 8.38/5.88 (~always3(s43)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3705, 4202])).
% 8.38/5.88 tff(4204,plain,
% 8.38/5.88 (~always3(s42)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3618, 4203])).
% 8.38/5.88 tff(4205,plain,
% 8.38/5.88 (~always3(s41)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3559, 4204])).
% 8.38/5.88 tff(4206,plain,
% 8.38/5.88 (~always3(s40)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3474, 4205])).
% 8.38/5.88 tff(4207,plain,
% 8.38/5.88 (~always3(s39)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3424, 4206])).
% 8.38/5.88 tff(4208,plain,
% 8.38/5.88 (~node4(s39)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3428, 22, 4207])).
% 8.38/5.88 tff(4209,plain,
% 8.38/5.88 (~always3(s38)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3233, 4207])).
% 8.38/5.88 tff(4210,plain,
% 8.38/5.88 (~node4(s38)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3219, 22, 4209])).
% 8.38/5.88 tff(4211,plain,
% 8.38/5.88 (~always3(s37)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[2932, 4209])).
% 8.38/5.88 tff(4212,plain,
% 8.38/5.88 (xuntil6(s37)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3202, 4211])).
% 8.38/5.88 tff(4213,plain,
% 8.38/5.88 (until5(s38)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3207, 4212])).
% 8.38/5.88 tff(4214,plain,
% 8.38/5.88 (xuntil6(s38) | node4(s38)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3214, 36, 4213])).
% 8.38/5.88 tff(4215,plain,
% 8.38/5.88 (xuntil6(s38)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4214, 4210])).
% 8.38/5.88 tff(4216,plain,
% 8.38/5.88 (until5(s39)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3410, 4215])).
% 8.38/5.88 tff(4217,plain,
% 8.38/5.88 (xuntil6(s39)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3460, 36, 4216, 4208])).
% 8.38/5.88 tff(4218,plain,
% 8.38/5.88 (until5(s40)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3445, 4217])).
% 8.38/5.88 tff(4219,plain,
% 8.38/5.88 (~node4(s40)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3432, 22, 4206])).
% 8.38/5.88 tff(4220,plain,
% 8.38/5.88 (xuntil6(s40) | (~until5(s40))),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3439, 36, 4219])).
% 8.38/5.88 tff(4221,plain,
% 8.38/5.88 (xuntil6(s40)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4220, 4218])).
% 8.38/5.88 tff(4222,plain,
% 8.38/5.88 (until5(s41)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3545, 4221])).
% 8.38/5.88 tff(4223,plain,
% 8.38/5.88 (~node4(s41)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3563, 22, 4205])).
% 8.38/5.88 tff(4224,plain,
% 8.38/5.88 (xuntil6(s41) | (~until5(s41))),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3587, 36, 4223])).
% 8.38/5.88 tff(4225,plain,
% 8.38/5.88 (xuntil6(s41)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4224, 4222])).
% 8.38/5.88 tff(4226,plain,
% 8.38/5.88 (until5(s42)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3580, 4225])).
% 8.38/5.88 tff(4227,plain,
% 8.38/5.88 (~node4(s42)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3567, 22, 4204])).
% 8.38/5.88 tff(4228,plain,
% 8.38/5.88 (xuntil6(s42) | (~until5(s42))),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3574, 36, 4227])).
% 8.38/5.88 tff(4229,plain,
% 8.38/5.88 (xuntil6(s42)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4228, 4226])).
% 8.38/5.88 tff(4230,plain,
% 8.38/5.88 (until5(s43)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3684, 4229])).
% 8.38/5.88 tff(4231,plain,
% 8.38/5.88 (xuntil6(s43)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3735, 4230])).
% 8.38/5.88 tff(4232,plain,
% 8.38/5.88 (until5(s44)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3740, 4231])).
% 8.38/5.88 tff(4233,plain,
% 8.38/5.88 (~node4(s44)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3890, 22, 4202])).
% 8.38/5.88 tff(4234,plain,
% 8.38/5.88 (xuntil6(s44) | (~until5(s44))),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3897, 36, 4233])).
% 8.38/5.88 tff(4235,plain,
% 8.38/5.88 (xuntil6(s44)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4234, 4232])).
% 8.38/5.88 tff(4236,plain,
% 8.38/5.88 (until5(s45)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3877, 4235])).
% 8.38/5.88 tff(4237,plain,
% 8.38/5.88 (xuntil6(s45)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4060, 4236])).
% 8.38/5.88 tff(4238,plain,
% 8.38/5.88 (until5(s46)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3848, 4237])).
% 8.38/5.88 tff(4239,plain,
% 8.38/5.88 (~node4(s46)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3832, 22, 4200])).
% 8.38/5.88 tff(4240,plain,
% 8.38/5.88 (xuntil6(s46) | (~until5(s46))),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3839, 36, 4239])).
% 8.38/5.88 tff(4241,plain,
% 8.38/5.88 (xuntil6(s46)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4240, 4238])).
% 8.38/5.88 tff(4242,plain,
% 8.38/5.88 (until5(s47)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3819, 4241])).
% 8.38/5.88 tff(4243,plain,
% 8.38/5.88 (xuntil6(s47)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4106, 4242])).
% 8.38/5.88 tff(4244,plain,
% 8.38/5.88 (until5(s48)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3790, 4243])).
% 8.38/5.88 tff(4245,plain,
% 8.38/5.88 (node4(s48)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4109, 4244])).
% 8.38/5.88 tff(4246,plain,
% 8.38/5.88 (m_main_v_request(s48)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4130, 154, 4245])).
% 8.38/5.88 tff(4247,plain,
% 8.38/5.88 (~m_main_v_state(s48, c_ready)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4126, 4246, 3983])).
% 8.38/5.88 tff(4248,plain,
% 8.38/5.88 (always3(s48)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4112, 4238, 3984])).
% 8.38/5.88 tff(4249,plain,
% 8.38/5.88 (~m_main_v_state(s48, c_busy)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4083, 170, 4248])).
% 8.38/5.88 tff(4250,plain,
% 8.38/5.88 ($false),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4117, 213, 4249, 4247])).
% 8.38/5.88 tff(4251,plain,(always3(s46) | m_main_v_state(s49, c_busy) | xuntil6(s48)), inference(lemma,lemma(discharge,[]))).
% 8.38/5.88 tff(4252,plain,
% 8.38/5.88 (always3(s46)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4251, 3975, 3982])).
% 8.38/5.88 tff(4253,plain,
% 8.38/5.88 (always3(s47)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3828, 4252])).
% 8.38/5.88 tff(4254,plain,
% 8.38/5.88 (~m_main_v_state(s47, c_busy)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4099, 170, 4253])).
% 8.38/5.88 tff(4255,plain,
% 8.38/5.88 (~m_main_v_state(s46, c_busy)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4046, 170, 4252])).
% 8.38/5.88 tff(4256,plain,
% 8.38/5.88 (((~![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))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4257,plain,
% 8.38/5.88 ((~![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))),
% 8.38/5.88 inference(quant_inst,[status(thm)],[])).
% 8.38/5.88 tff(4258,plain,
% 8.38/5.88 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s46, c_busy) | m_main_v_state(s46, c_ready)),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4257, 4256])).
% 8.38/5.88 tff(4259,plain,
% 8.38/5.88 (m_main_v_state(s46, c_ready)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4258, 213, 4255])).
% 8.38/5.88 tff(4260,plain,
% 8.38/5.88 (~m_main_v_request(s46)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4182, 4259, 4254])).
% 8.38/5.88 tff(4261,plain,
% 8.38/5.88 (~node4(s46)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4140, 154, 4260])).
% 8.38/5.88 tff(4262,plain,
% 8.38/5.88 (always3(s48)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3799, 4253])).
% 8.38/5.88 tff(4263,plain,
% 8.38/5.88 (~m_main_v_state(s48, c_busy)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4083, 170, 4262])).
% 8.38/5.88 tff(4264,assumption,(~m_main_v_state(s48, c_ready)), introduced(assumption)).
% 8.38/5.88 tff(4265,assumption,(~m_main_v_state(s48, c_busy)), introduced(assumption)).
% 8.38/5.88 tff(4266,plain,
% 8.38/5.88 ($false),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4117, 213, 4265, 4264])).
% 8.38/5.88 tff(4267,plain,(m_main_v_state(s48, c_ready) | m_main_v_state(s48, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.38/5.88 tff(4268,plain,
% 8.38/5.88 (m_main_v_state(s48, c_ready)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4267, 4263])).
% 8.38/5.88 tff(4269,plain,
% 8.38/5.88 (~m_main_v_request(s48)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4126, 4268, 3975])).
% 8.38/5.88 tff(4270,plain,
% 8.38/5.88 (~node4(s48)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4130, 154, 4269])).
% 8.38/5.88 tff(4271,plain,
% 8.38/5.88 (node4(s48) | (~until5(s48))),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3782, 36, 3982])).
% 8.38/5.88 tff(4272,plain,
% 8.38/5.88 (~until5(s48)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4271, 4270])).
% 8.38/5.88 tff(4273,plain,
% 8.38/5.88 (~xuntil6(s47)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3790, 4272])).
% 8.38/5.88 tff(4274,plain,
% 8.38/5.88 (~until5(s47)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4106, 4273])).
% 8.38/5.88 tff(4275,plain,
% 8.38/5.88 (~xuntil6(s46)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3819, 4274])).
% 8.38/5.88 tff(4276,plain,
% 8.38/5.88 (~until5(s46)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3839, 36, 4275, 4261])).
% 8.38/5.88 tff(4277,plain,
% 8.38/5.88 (~xuntil6(s45)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3848, 4276])).
% 8.38/5.88 tff(4278,plain,
% 8.38/5.88 (~until5(s45)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4060, 4277])).
% 8.38/5.88 tff(4279,plain,
% 8.38/5.88 (~xuntil6(s44)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3877, 4278])).
% 8.38/5.88 tff(4280,assumption,(until5(s44)), introduced(assumption)).
% 8.38/5.88 tff(4281,plain,
% 8.38/5.88 (xuntil6(s44) | node4(s44)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3897, 36, 4280])).
% 8.38/5.88 tff(4282,plain,
% 8.38/5.88 (node4(s44)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4281, 4279])).
% 8.38/5.88 tff(4283,plain,
% 8.38/5.88 (((~![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)))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4284,plain,
% 8.38/5.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s44) | (~node4(s44)))),
% 8.38/5.88 inference(quant_inst,[status(thm)],[])).
% 8.38/5.88 tff(4285,plain,
% 8.38/5.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s44) | (~node4(s44))),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4284, 4283])).
% 8.38/5.88 tff(4286,plain,
% 8.38/5.88 (m_main_v_request(s44)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4285, 154, 4282])).
% 8.38/5.88 tff(4287,plain,
% 8.38/5.88 (((~![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))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4288,plain,
% 8.38/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s44, s45)) | node2(s44, s45))),
% 8.38/5.88 inference(quant_inst,[status(thm)],[])).
% 8.38/5.88 tff(4289,plain,
% 8.38/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s44, s45)) | node2(s44, s45)),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4288, 4287])).
% 8.38/5.88 tff(4290,plain,
% 8.38/5.88 (node2(s44, s45)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4289, 7, 3882])).
% 8.38/5.88 tff(4291,plain,
% 8.38/5.88 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4292,plain,
% 8.38/5.88 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.38/5.88 inference(quant_inst,[status(thm)],[])).
% 8.38/5.88 tff(4293,plain,
% 8.38/5.88 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4292, 4291])).
% 8.38/5.88 tff(4294,plain,
% 8.38/5.88 ((~m_main_v_state(s44, c_ready)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s44))),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4293, 191, 4290])).
% 8.38/5.88 tff(4295,plain,
% 8.38/5.88 (~m_main_v_state(s44, c_ready)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4294, 4286, 4199])).
% 8.38/5.88 tff(4296,assumption,(~always3(s44)), introduced(assumption)).
% 8.38/5.88 tff(4297,plain,
% 8.38/5.88 (~always3(s43)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3705, 4296])).
% 8.38/5.88 tff(4298,plain,
% 8.38/5.88 (~always3(s42)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3618, 4297])).
% 8.38/5.88 tff(4299,plain,
% 8.38/5.88 (~node4(s42)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3567, 22, 4298])).
% 8.38/5.88 tff(4300,plain,
% 8.38/5.88 (~node4(s44)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3890, 22, 4296])).
% 8.38/5.88 tff(4301,assumption,(~xuntil6(s44)), introduced(assumption)).
% 8.38/5.88 tff(4302,plain,
% 8.38/5.88 (node4(s44) | (~until5(s44))),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3897, 36, 4301])).
% 8.38/5.88 tff(4303,plain,
% 8.38/5.88 (~until5(s44)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4302, 4300])).
% 8.38/5.88 tff(4304,plain,
% 8.38/5.88 (~xuntil6(s43)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3740, 4303])).
% 8.38/5.88 tff(4305,plain,
% 8.38/5.88 (~until5(s43)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3735, 4304])).
% 8.38/5.88 tff(4306,plain,
% 8.38/5.88 (~xuntil6(s42)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3684, 4305])).
% 8.38/5.88 tff(4307,plain,
% 8.38/5.88 (~until5(s42)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3574, 36, 4306, 4299])).
% 8.38/5.88 tff(4308,plain,
% 8.38/5.88 (~xuntil6(s41)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3580, 4307])).
% 8.38/5.88 tff(4309,plain,
% 8.38/5.88 (~always3(s41)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3559, 4298])).
% 8.38/5.88 tff(4310,plain,
% 8.38/5.88 (~node4(s41)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3563, 22, 4309])).
% 8.38/5.88 tff(4311,plain,
% 8.38/5.88 (xuntil6(s41) | (~until5(s41))),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3587, 36, 4310])).
% 8.38/5.88 tff(4312,plain,
% 8.38/5.88 (~until5(s41)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4311, 4308])).
% 8.38/5.88 tff(4313,plain,
% 8.38/5.88 (~always3(s40)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3474, 4309])).
% 8.38/5.88 tff(4314,plain,
% 8.38/5.88 (~always3(s39)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3424, 4313])).
% 8.38/5.88 tff(4315,plain,
% 8.38/5.88 (~node4(s39)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3428, 22, 4314])).
% 8.38/5.88 tff(4316,plain,
% 8.38/5.88 (~always3(s38)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3233, 4314])).
% 8.38/5.88 tff(4317,plain,
% 8.38/5.88 (~node4(s38)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3219, 22, 4316])).
% 8.38/5.88 tff(4318,plain,
% 8.38/5.88 (~always3(s37)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[2932, 4316])).
% 8.38/5.88 tff(4319,plain,
% 8.38/5.88 (xuntil6(s37)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3202, 4318])).
% 8.38/5.88 tff(4320,plain,
% 8.38/5.88 (until5(s38)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3207, 4319])).
% 8.38/5.88 tff(4321,plain,
% 8.38/5.88 (xuntil6(s38) | node4(s38)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3214, 36, 4320])).
% 8.38/5.88 tff(4322,plain,
% 8.38/5.88 (xuntil6(s38)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4321, 4317])).
% 8.38/5.88 tff(4323,plain,
% 8.38/5.88 (until5(s39)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3410, 4322])).
% 8.38/5.88 tff(4324,plain,
% 8.38/5.88 (xuntil6(s39)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3460, 36, 4323, 4315])).
% 8.38/5.88 tff(4325,plain,
% 8.38/5.88 (until5(s40)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3445, 4324])).
% 8.38/5.88 tff(4326,plain,
% 8.38/5.88 (~node4(s40)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3432, 22, 4313])).
% 8.38/5.88 tff(4327,plain,
% 8.38/5.88 (xuntil6(s40) | (~until5(s40))),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3439, 36, 4326])).
% 8.38/5.88 tff(4328,plain,
% 8.38/5.88 (xuntil6(s40)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4327, 4325])).
% 8.38/5.88 tff(4329,plain,
% 8.38/5.88 ($false),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3545, 4328, 4312])).
% 8.38/5.88 tff(4330,plain,(always3(s44) | xuntil6(s44)), inference(lemma,lemma(discharge,[]))).
% 8.38/5.88 tff(4331,plain,
% 8.38/5.88 (always3(s44)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4330, 4279])).
% 8.38/5.88 tff(4332,plain,
% 8.38/5.88 (~m_main_v_state(s44, c_busy)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3712, 170, 4331])).
% 8.38/5.88 tff(4333,plain,
% 8.38/5.88 (((~![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))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4334,plain,
% 8.38/5.88 ((~![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))),
% 8.38/5.88 inference(quant_inst,[status(thm)],[])).
% 8.38/5.88 tff(4335,plain,
% 8.38/5.88 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s44, c_busy) | m_main_v_state(s44, c_ready)),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4334, 4333])).
% 8.38/5.88 tff(4336,plain,
% 8.38/5.88 ($false),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4335, 213, 4332, 4295])).
% 8.38/5.88 tff(4337,plain,(xuntil6(s49) | (~until5(s44))), inference(lemma,lemma(discharge,[]))).
% 8.38/5.88 tff(4338,plain,
% 8.38/5.88 (xuntil6(s49)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4337, 3741])).
% 8.38/5.88 tff(4339,plain,
% 8.38/5.88 (((~![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))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4340,plain,
% 8.38/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s49, s50)) | (~xuntil6(s49)) | until5(s50))),
% 8.38/5.88 inference(quant_inst,[status(thm)],[])).
% 8.38/5.88 tff(4341,plain,
% 8.38/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s49, s50)) | (~xuntil6(s49)) | until5(s50)),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4340, 4339])).
% 8.38/5.88 tff(4342,plain,
% 8.38/5.88 ((~xuntil6(s49)) | until5(s50)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4341, 3936, 141])).
% 8.38/5.88 tff(4343,plain,
% 8.38/5.88 (until5(s50)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4342, 4338])).
% 8.38/5.88 tff(4344,assumption,(node4(s50)), introduced(assumption)).
% 8.38/5.88 tff(4345,plain,
% 8.38/5.88 (((~![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)))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4346,plain,
% 8.38/5.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s50) | (~node4(s50)))),
% 8.38/5.88 inference(quant_inst,[status(thm)],[])).
% 8.38/5.88 tff(4347,plain,
% 8.38/5.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s50) | (~node4(s50))),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4346, 4345])).
% 8.38/5.88 tff(4348,plain,
% 8.38/5.88 (m_main_v_request(s50)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4347, 154, 4344])).
% 8.38/5.88 tff(4349,plain,
% 8.38/5.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s50) | (~node4(s50)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s50) | (~node4(s50)))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4350,plain,
% 8.38/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s50) | (~node4(s50)))),
% 8.38/5.88 inference(quant_inst,[status(thm)],[])).
% 8.38/5.88 tff(4351,plain,
% 8.38/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s50) | (~node4(s50))),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4350, 4349])).
% 8.38/5.88 tff(4352,plain,
% 8.38/5.88 (always3(s50)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4351, 22, 4344])).
% 8.38/5.88 tff(4353,plain,
% 8.38/5.88 (succ(s50, s51) <=> succ(s50, s51)),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4354,axiom,(succ(s50, s51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound51')).
% 8.38/5.88 tff(4355,plain,
% 8.38/5.88 (succ(s50, s51)),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4354, 4353])).
% 8.38/5.88 tff(4356,plain,
% 8.38/5.88 (((~![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))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4357,plain,
% 8.38/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s50, s51)) | trans(s50, s51))),
% 8.38/5.88 inference(quant_inst,[status(thm)],[])).
% 8.38/5.88 tff(4358,plain,
% 8.38/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s50, s51)) | trans(s50, s51)),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4357, 4356])).
% 8.38/5.88 tff(4359,plain,
% 8.38/5.88 (trans(s50, s51)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4358, 4355, 51])).
% 8.38/5.88 tff(4360,plain,
% 8.38/5.88 (((~![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))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4361,plain,
% 8.38/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s50, s51)) | (~always3(s50)) | always3(s51))),
% 8.38/5.88 inference(quant_inst,[status(thm)],[])).
% 8.38/5.88 tff(4362,plain,
% 8.38/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s50, s51)) | (~always3(s50)) | always3(s51)),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4361, 4360])).
% 8.38/5.88 tff(4363,plain,
% 8.38/5.88 ((~always3(s50)) | always3(s51)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4362, 68, 4359])).
% 8.38/5.88 tff(4364,plain,
% 8.38/5.88 (always3(s51)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4363, 4352])).
% 8.38/5.88 tff(4365,plain,
% 8.38/5.88 (((~![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)))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4366,plain,
% 8.38/5.88 (((~m_main_v_state(s51, c_busy)) | (~always3(s51))) <=> ((~always3(s51)) | (~m_main_v_state(s51, c_busy)))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4367,plain,
% 8.38/5.88 (((~![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))))),
% 8.38/5.88 inference(monotonicity,[status(thm)],[4366])).
% 8.38/5.88 tff(4368,plain,
% 8.38/5.88 (((~![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)))),
% 8.38/5.88 inference(transitivity,[status(thm)],[4367, 4365])).
% 8.38/5.88 tff(4369,plain,
% 8.38/5.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s51, c_busy)) | (~always3(s51)))),
% 8.38/5.88 inference(quant_inst,[status(thm)],[])).
% 8.38/5.88 tff(4370,plain,
% 8.38/5.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s51)) | (~m_main_v_state(s51, c_busy))),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4369, 4368])).
% 8.38/5.88 tff(4371,plain,
% 8.38/5.88 (~m_main_v_state(s51, c_busy)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4370, 170, 4364])).
% 8.38/5.88 tff(4372,plain,
% 8.38/5.88 (((~![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))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4373,plain,
% 8.38/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s50, s51)) | node2(s50, s51))),
% 8.38/5.88 inference(quant_inst,[status(thm)],[])).
% 8.38/5.88 tff(4374,plain,
% 8.38/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s50, s51)) | node2(s50, s51)),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4373, 4372])).
% 8.38/5.88 tff(4375,plain,
% 8.38/5.88 (node2(s50, s51)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4374, 7, 4359])).
% 8.38/5.88 tff(4376,plain,
% 8.38/5.88 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4377,plain,
% 8.38/5.88 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.38/5.88 inference(quant_inst,[status(thm)],[])).
% 8.38/5.88 tff(4378,plain,
% 8.38/5.88 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4377, 4376])).
% 8.38/5.88 tff(4379,plain,
% 8.38/5.88 ((~m_main_v_state(s50, c_ready)) | m_main_v_state(s51, c_busy) | (~m_main_v_request(s50))),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4378, 191, 4375])).
% 8.38/5.88 tff(4380,plain,
% 8.38/5.88 (~m_main_v_state(s50, c_ready)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4379, 4371, 4348])).
% 8.38/5.88 tff(4381,plain,
% 8.38/5.88 (~m_main_v_state(s50, c_busy)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3951, 170, 4352])).
% 8.38/5.88 tff(4382,plain,
% 8.38/5.88 (((~![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))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4383,plain,
% 8.38/5.88 ((~![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))),
% 8.38/5.88 inference(quant_inst,[status(thm)],[])).
% 8.38/5.88 tff(4384,plain,
% 8.38/5.88 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s50, c_busy) | m_main_v_state(s50, c_ready)),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4383, 4382])).
% 8.38/5.88 tff(4385,plain,
% 8.38/5.88 ($false),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4384, 213, 4381, 4380])).
% 8.38/5.88 tff(4386,plain,(~node4(s50)), inference(lemma,lemma(discharge,[]))).
% 8.38/5.88 tff(4387,plain,
% 8.38/5.88 (((~![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)))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4388,plain,
% 8.38/5.88 ((node4(s50) | (~until5(s50)) | xuntil6(s50)) <=> (xuntil6(s50) | node4(s50) | (~until5(s50)))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4389,plain,
% 8.38/5.88 (((~![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))))),
% 8.38/5.88 inference(monotonicity,[status(thm)],[4388])).
% 8.38/5.88 tff(4390,plain,
% 8.38/5.88 (((~![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)))),
% 8.38/5.88 inference(transitivity,[status(thm)],[4389, 4387])).
% 8.38/5.88 tff(4391,plain,
% 8.38/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s50) | (~until5(s50)) | xuntil6(s50))),
% 8.38/5.88 inference(quant_inst,[status(thm)],[])).
% 8.38/5.88 tff(4392,plain,
% 8.38/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s50) | node4(s50) | (~until5(s50))),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4391, 4390])).
% 8.38/5.88 tff(4393,plain,
% 8.38/5.88 (xuntil6(s50) | (~until5(s50))),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4392, 36, 4386])).
% 8.38/5.88 tff(4394,plain,
% 8.38/5.88 (xuntil6(s50)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4393, 4343])).
% 8.38/5.88 tff(4395,plain,
% 8.38/5.88 (((~![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))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4396,plain,
% 8.38/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s50, s51)) | (~xuntil6(s50)) | until5(s51))),
% 8.38/5.88 inference(quant_inst,[status(thm)],[])).
% 8.38/5.88 tff(4397,plain,
% 8.38/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s50, s51)) | (~xuntil6(s50)) | until5(s51)),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4396, 4395])).
% 8.38/5.88 tff(4398,plain,
% 8.38/5.88 ((~xuntil6(s50)) | until5(s51)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4397, 4355, 141])).
% 8.38/5.88 tff(4399,plain,
% 8.38/5.88 (until5(s51)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4398, 4394])).
% 8.38/5.88 tff(4400,assumption,(~xuntil6(s52)), introduced(assumption)).
% 8.38/5.88 tff(4401,assumption,(~always3(s52)), introduced(assumption)).
% 8.38/5.88 tff(4402,plain,
% 8.38/5.88 (succ(s51, s52) <=> succ(s51, s52)),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4403,axiom,(succ(s51, s52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound52')).
% 8.38/5.88 tff(4404,plain,
% 8.38/5.88 (succ(s51, s52)),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4403, 4402])).
% 8.38/5.88 tff(4405,plain,
% 8.38/5.88 (((~![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))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4406,plain,
% 8.38/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s51, s52)) | trans(s51, s52))),
% 8.38/5.88 inference(quant_inst,[status(thm)],[])).
% 8.38/5.88 tff(4407,plain,
% 8.38/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s51, s52)) | trans(s51, s52)),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4406, 4405])).
% 8.38/5.88 tff(4408,plain,
% 8.38/5.88 (trans(s51, s52)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4407, 4404, 51])).
% 8.38/5.88 tff(4409,plain,
% 8.38/5.88 (((~![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))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4410,plain,
% 8.38/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s51, s52)) | (~always3(s51)) | always3(s52))),
% 8.38/5.88 inference(quant_inst,[status(thm)],[])).
% 8.38/5.88 tff(4411,plain,
% 8.38/5.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s51, s52)) | (~always3(s51)) | always3(s52)),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4410, 4409])).
% 8.38/5.88 tff(4412,plain,
% 8.38/5.88 ((~always3(s51)) | always3(s52)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4411, 68, 4408])).
% 8.38/5.88 tff(4413,plain,
% 8.38/5.88 (~always3(s51)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4412, 4401])).
% 8.38/5.88 tff(4414,plain,
% 8.38/5.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s51) | (~node4(s51)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s51) | (~node4(s51)))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4415,plain,
% 8.38/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s51) | (~node4(s51)))),
% 8.38/5.88 inference(quant_inst,[status(thm)],[])).
% 8.38/5.88 tff(4416,plain,
% 8.38/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s51) | (~node4(s51))),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4415, 4414])).
% 8.38/5.88 tff(4417,plain,
% 8.38/5.88 (~node4(s51)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4416, 22, 4413])).
% 8.38/5.88 tff(4418,plain,
% 8.38/5.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s52) | (~node4(s52)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s52) | (~node4(s52)))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4419,plain,
% 8.38/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s52) | (~node4(s52)))),
% 8.38/5.88 inference(quant_inst,[status(thm)],[])).
% 8.38/5.88 tff(4420,plain,
% 8.38/5.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s52) | (~node4(s52))),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4419, 4418])).
% 8.38/5.88 tff(4421,plain,
% 8.38/5.88 (~node4(s52)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4420, 22, 4401])).
% 8.38/5.88 tff(4422,plain,
% 8.38/5.88 (((~![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)))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4423,plain,
% 8.38/5.88 ((node4(s52) | (~until5(s52)) | xuntil6(s52)) <=> (xuntil6(s52) | node4(s52) | (~until5(s52)))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4424,plain,
% 8.38/5.88 (((~![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))))),
% 8.38/5.88 inference(monotonicity,[status(thm)],[4423])).
% 8.38/5.88 tff(4425,plain,
% 8.38/5.88 (((~![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)))),
% 8.38/5.88 inference(transitivity,[status(thm)],[4424, 4422])).
% 8.38/5.88 tff(4426,plain,
% 8.38/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s52) | (~until5(s52)) | xuntil6(s52))),
% 8.38/5.88 inference(quant_inst,[status(thm)],[])).
% 8.38/5.88 tff(4427,plain,
% 8.38/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s52) | node4(s52) | (~until5(s52))),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4426, 4425])).
% 8.38/5.88 tff(4428,plain,
% 8.38/5.88 (node4(s52) | (~until5(s52))),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4427, 36, 4400])).
% 8.38/5.88 tff(4429,plain,
% 8.38/5.88 (~until5(s52)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4428, 4421])).
% 8.38/5.88 tff(4430,plain,
% 8.38/5.88 (((~![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))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4431,plain,
% 8.38/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s51, s52)) | (~xuntil6(s51)) | until5(s52))),
% 8.38/5.88 inference(quant_inst,[status(thm)],[])).
% 8.38/5.88 tff(4432,plain,
% 8.38/5.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s51, s52)) | (~xuntil6(s51)) | until5(s52)),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4431, 4430])).
% 8.38/5.88 tff(4433,plain,
% 8.38/5.88 ((~xuntil6(s51)) | until5(s52)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4432, 4404, 141])).
% 8.38/5.88 tff(4434,plain,
% 8.38/5.88 (~xuntil6(s51)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4433, 4429])).
% 8.38/5.88 tff(4435,plain,
% 8.38/5.88 (((~![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)))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4436,plain,
% 8.38/5.88 ((node4(s51) | (~until5(s51)) | xuntil6(s51)) <=> (xuntil6(s51) | node4(s51) | (~until5(s51)))),
% 8.38/5.88 inference(rewrite,[status(thm)],[])).
% 8.38/5.88 tff(4437,plain,
% 8.38/5.88 (((~![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))))),
% 8.38/5.88 inference(monotonicity,[status(thm)],[4436])).
% 8.38/5.88 tff(4438,plain,
% 8.38/5.88 (((~![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)))),
% 8.38/5.88 inference(transitivity,[status(thm)],[4437, 4435])).
% 8.38/5.88 tff(4439,plain,
% 8.38/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s51) | (~until5(s51)) | xuntil6(s51))),
% 8.38/5.88 inference(quant_inst,[status(thm)],[])).
% 8.38/5.88 tff(4440,plain,
% 8.38/5.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s51) | node4(s51) | (~until5(s51))),
% 8.38/5.88 inference(modus_ponens,[status(thm)],[4439, 4438])).
% 8.38/5.88 tff(4441,plain,
% 8.38/5.88 (~until5(s51)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4440, 36, 4434, 4417])).
% 8.38/5.88 tff(4442,plain,
% 8.38/5.88 (~xuntil6(s50)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4398, 4441])).
% 8.38/5.88 tff(4443,plain,
% 8.38/5.88 (~always3(s50)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4363, 4413])).
% 8.38/5.88 tff(4444,plain,
% 8.38/5.88 (~node4(s50)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4351, 22, 4443])).
% 8.38/5.88 tff(4445,plain,
% 8.38/5.88 (xuntil6(s50) | (~until5(s50))),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4392, 36, 4444])).
% 8.38/5.88 tff(4446,plain,
% 8.38/5.88 (~until5(s50)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4445, 4442])).
% 8.38/5.88 tff(4447,plain,
% 8.38/5.88 (~xuntil6(s49)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4342, 4446])).
% 8.38/5.88 tff(4448,plain,
% 8.38/5.88 (~always3(s49)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3944, 4443])).
% 8.38/5.88 tff(4449,plain,
% 8.38/5.88 (~node4(s49)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3762, 22, 4448])).
% 8.38/5.88 tff(4450,plain,
% 8.38/5.88 (xuntil6(s49) | (~until5(s49))),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3769, 36, 4449])).
% 8.38/5.88 tff(4451,plain,
% 8.38/5.88 (~until5(s49)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4450, 4447])).
% 8.38/5.88 tff(4452,plain,
% 8.38/5.88 (~xuntil6(s48)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3775, 4451])).
% 8.38/5.88 tff(4453,plain,
% 8.38/5.88 (~always3(s48)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3754, 4448])).
% 8.38/5.88 tff(4454,plain,
% 8.38/5.88 (~node4(s48)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3758, 22, 4453])).
% 8.38/5.88 tff(4455,plain,
% 8.38/5.88 (xuntil6(s48) | (~until5(s48))),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3782, 36, 4454])).
% 8.38/5.88 tff(4456,plain,
% 8.38/5.88 (~until5(s48)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4455, 4452])).
% 8.38/5.88 tff(4457,plain,
% 8.38/5.88 (~xuntil6(s47)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3790, 4456])).
% 8.38/5.88 tff(4458,plain,
% 8.38/5.88 (~always3(s47)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3799, 4453])).
% 8.38/5.88 tff(4459,plain,
% 8.38/5.88 (~node4(s47)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3803, 22, 4458])).
% 8.38/5.88 tff(4460,plain,
% 8.38/5.88 (xuntil6(s47) | (~until5(s47))),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3810, 36, 4459])).
% 8.38/5.88 tff(4461,plain,
% 8.38/5.88 (~until5(s47)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4460, 4457])).
% 8.38/5.88 tff(4462,plain,
% 8.38/5.88 (~xuntil6(s46)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3819, 4461])).
% 8.38/5.88 tff(4463,plain,
% 8.38/5.88 (~always3(s46)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3828, 4458])).
% 8.38/5.88 tff(4464,plain,
% 8.38/5.88 (~node4(s46)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3832, 22, 4463])).
% 8.38/5.88 tff(4465,plain,
% 8.38/5.88 (xuntil6(s46) | (~until5(s46))),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3839, 36, 4464])).
% 8.38/5.88 tff(4466,plain,
% 8.38/5.88 (~until5(s46)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[4465, 4462])).
% 8.38/5.88 tff(4467,plain,
% 8.38/5.88 (~xuntil6(s45)),
% 8.38/5.88 inference(unit_resolution,[status(thm)],[3848, 4466])).
% 8.38/5.89 tff(4468,plain,
% 8.38/5.89 (~always3(s45)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3857, 4463])).
% 8.38/5.89 tff(4469,plain,
% 8.38/5.89 (~always3(s44)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3886, 4468])).
% 8.38/5.89 tff(4470,plain,
% 8.38/5.89 (~always3(s43)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3705, 4469])).
% 8.38/5.89 tff(4471,plain,
% 8.38/5.89 (~always3(s42)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3618, 4470])).
% 8.38/5.89 tff(4472,plain,
% 8.38/5.89 (~always3(s41)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3559, 4471])).
% 8.38/5.89 tff(4473,plain,
% 8.38/5.89 (~always3(s40)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3474, 4472])).
% 8.38/5.89 tff(4474,plain,
% 8.38/5.89 (~always3(s39)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3424, 4473])).
% 8.38/5.89 tff(4475,plain,
% 8.38/5.89 (~node4(s39)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3428, 22, 4474])).
% 8.38/5.89 tff(4476,plain,
% 8.38/5.89 (~always3(s38)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3233, 4474])).
% 8.38/5.89 tff(4477,plain,
% 8.38/5.89 (~node4(s38)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3219, 22, 4476])).
% 8.38/5.89 tff(4478,plain,
% 8.38/5.89 (~always3(s37)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[2932, 4476])).
% 8.38/5.89 tff(4479,plain,
% 8.38/5.89 (xuntil6(s37)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3202, 4478])).
% 8.38/5.89 tff(4480,plain,
% 8.38/5.89 (until5(s38)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3207, 4479])).
% 8.38/5.89 tff(4481,plain,
% 8.38/5.89 (xuntil6(s38) | node4(s38)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3214, 36, 4480])).
% 8.38/5.89 tff(4482,plain,
% 8.38/5.89 (xuntil6(s38)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4481, 4477])).
% 8.38/5.89 tff(4483,plain,
% 8.38/5.89 (until5(s39)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3410, 4482])).
% 8.38/5.89 tff(4484,plain,
% 8.38/5.89 (xuntil6(s39)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3460, 36, 4483, 4475])).
% 8.38/5.89 tff(4485,plain,
% 8.38/5.89 (until5(s40)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3445, 4484])).
% 8.38/5.89 tff(4486,plain,
% 8.38/5.89 (~node4(s40)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3432, 22, 4473])).
% 8.38/5.89 tff(4487,plain,
% 8.38/5.89 (xuntil6(s40) | (~until5(s40))),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3439, 36, 4486])).
% 8.38/5.89 tff(4488,plain,
% 8.38/5.89 (xuntil6(s40)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4487, 4485])).
% 8.38/5.89 tff(4489,plain,
% 8.38/5.89 (until5(s41)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3545, 4488])).
% 8.38/5.89 tff(4490,plain,
% 8.38/5.89 (~node4(s41)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3563, 22, 4472])).
% 8.38/5.89 tff(4491,plain,
% 8.38/5.89 (xuntil6(s41) | (~until5(s41))),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3587, 36, 4490])).
% 8.38/5.89 tff(4492,plain,
% 8.38/5.89 (xuntil6(s41)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4491, 4489])).
% 8.38/5.89 tff(4493,plain,
% 8.38/5.89 (until5(s42)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3580, 4492])).
% 8.38/5.89 tff(4494,plain,
% 8.38/5.89 (~node4(s42)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3567, 22, 4471])).
% 8.38/5.89 tff(4495,plain,
% 8.38/5.89 (xuntil6(s42) | (~until5(s42))),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3574, 36, 4494])).
% 8.38/5.89 tff(4496,plain,
% 8.38/5.89 (xuntil6(s42)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4495, 4493])).
% 8.38/5.89 tff(4497,plain,
% 8.38/5.89 (until5(s43)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3684, 4496])).
% 8.38/5.89 tff(4498,plain,
% 8.38/5.89 (~node4(s43)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3693, 22, 4470])).
% 8.38/5.89 tff(4499,plain,
% 8.38/5.89 (xuntil6(s43) | (~until5(s43))),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3734, 36, 4498])).
% 8.38/5.89 tff(4500,plain,
% 8.38/5.89 (xuntil6(s43)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4499, 4497])).
% 8.38/5.89 tff(4501,plain,
% 8.38/5.89 (until5(s44)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3740, 4500])).
% 8.38/5.89 tff(4502,plain,
% 8.38/5.89 (~node4(s44)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3890, 22, 4469])).
% 8.38/5.89 tff(4503,plain,
% 8.38/5.89 (xuntil6(s44) | (~until5(s44))),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3897, 36, 4502])).
% 8.38/5.89 tff(4504,plain,
% 8.38/5.89 (xuntil6(s44)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4503, 4501])).
% 8.38/5.89 tff(4505,plain,
% 8.38/5.89 (until5(s45)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3877, 4504])).
% 8.38/5.89 tff(4506,plain,
% 8.38/5.89 (~node4(s45)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3861, 22, 4468])).
% 8.38/5.89 tff(4507,plain,
% 8.38/5.89 (xuntil6(s45) | (~until5(s45))),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3868, 36, 4506])).
% 8.38/5.89 tff(4508,plain,
% 8.38/5.89 ($false),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4507, 4505, 4467])).
% 8.38/5.89 tff(4509,plain,(always3(s52) | xuntil6(s52)), inference(lemma,lemma(discharge,[]))).
% 8.38/5.89 tff(4510,plain,
% 8.38/5.89 (always3(s52)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4509, 4400])).
% 8.38/5.89 tff(4511,plain,
% 8.38/5.89 (succ(s52, s53) <=> succ(s52, s53)),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4512,axiom,(succ(s52, s53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound53')).
% 8.38/5.89 tff(4513,plain,
% 8.38/5.89 (succ(s52, s53)),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4512, 4511])).
% 8.38/5.89 tff(4514,plain,
% 8.38/5.89 (((~![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))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4515,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s52, s53)) | trans(s52, s53))),
% 8.38/5.89 inference(quant_inst,[status(thm)],[])).
% 8.38/5.89 tff(4516,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s52, s53)) | trans(s52, s53)),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4515, 4514])).
% 8.38/5.89 tff(4517,plain,
% 8.38/5.89 (trans(s52, s53)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4516, 4513, 51])).
% 8.38/5.89 tff(4518,plain,
% 8.38/5.89 (((~![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))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4519,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s52, s53)) | (~always3(s52)) | always3(s53))),
% 8.38/5.89 inference(quant_inst,[status(thm)],[])).
% 8.38/5.89 tff(4520,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s52, s53)) | (~always3(s52)) | always3(s53)),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4519, 4518])).
% 8.38/5.89 tff(4521,plain,
% 8.38/5.89 ((~always3(s52)) | always3(s53)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4520, 68, 4517])).
% 8.38/5.89 tff(4522,plain,
% 8.38/5.89 (always3(s53)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4521, 4510])).
% 8.38/5.89 tff(4523,plain,
% 8.38/5.89 (((~![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)))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4524,plain,
% 8.38/5.89 (((~m_main_v_state(s53, c_busy)) | (~always3(s53))) <=> ((~always3(s53)) | (~m_main_v_state(s53, c_busy)))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4525,plain,
% 8.38/5.89 (((~![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))))),
% 8.38/5.89 inference(monotonicity,[status(thm)],[4524])).
% 8.38/5.89 tff(4526,plain,
% 8.38/5.89 (((~![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)))),
% 8.38/5.89 inference(transitivity,[status(thm)],[4525, 4523])).
% 8.38/5.89 tff(4527,plain,
% 8.38/5.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s53, c_busy)) | (~always3(s53)))),
% 8.38/5.89 inference(quant_inst,[status(thm)],[])).
% 8.38/5.89 tff(4528,plain,
% 8.38/5.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s53)) | (~m_main_v_state(s53, c_busy))),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4527, 4526])).
% 8.38/5.89 tff(4529,plain,
% 8.38/5.89 (~m_main_v_state(s53, c_busy)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4528, 170, 4522])).
% 8.38/5.89 tff(4530,plain,
% 8.38/5.89 (((~![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)))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4531,plain,
% 8.38/5.89 (((~m_main_v_state(s52, c_busy)) | (~always3(s52))) <=> ((~always3(s52)) | (~m_main_v_state(s52, c_busy)))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4532,plain,
% 8.38/5.89 (((~![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))))),
% 8.38/5.89 inference(monotonicity,[status(thm)],[4531])).
% 8.38/5.89 tff(4533,plain,
% 8.38/5.89 (((~![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)))),
% 8.38/5.89 inference(transitivity,[status(thm)],[4532, 4530])).
% 8.38/5.89 tff(4534,plain,
% 8.38/5.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s52, c_busy)) | (~always3(s52)))),
% 8.38/5.89 inference(quant_inst,[status(thm)],[])).
% 8.38/5.89 tff(4535,plain,
% 8.38/5.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s52)) | (~m_main_v_state(s52, c_busy))),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4534, 4533])).
% 8.38/5.89 tff(4536,plain,
% 8.38/5.89 (~m_main_v_state(s52, c_busy)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4535, 170, 4510])).
% 8.38/5.89 tff(4537,plain,
% 8.38/5.89 (((~![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))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4538,plain,
% 8.38/5.89 ((~![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))),
% 8.38/5.89 inference(quant_inst,[status(thm)],[])).
% 8.38/5.89 tff(4539,plain,
% 8.38/5.89 ((~![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)),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4538, 4537])).
% 8.38/5.89 tff(4540,plain,
% 8.38/5.89 (m_main_v_state(s52, c_ready)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4539, 213, 4536])).
% 8.38/5.89 tff(4541,assumption,(~m_main_v_state(s52, c_busy)), introduced(assumption)).
% 8.38/5.89 tff(4542,assumption,(node4(s51)), introduced(assumption)).
% 8.38/5.89 tff(4543,plain,
% 8.38/5.89 (((~![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)))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4544,plain,
% 8.38/5.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s51) | (~node4(s51)))),
% 8.38/5.89 inference(quant_inst,[status(thm)],[])).
% 8.38/5.89 tff(4545,plain,
% 8.38/5.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s51) | (~node4(s51))),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4544, 4543])).
% 8.38/5.89 tff(4546,plain,
% 8.38/5.89 (m_main_v_request(s51)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4545, 154, 4542])).
% 8.38/5.89 tff(4547,plain,
% 8.38/5.89 (((~![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))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4548,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s51, s52)) | node2(s51, s52))),
% 8.38/5.89 inference(quant_inst,[status(thm)],[])).
% 8.38/5.89 tff(4549,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s51, s52)) | node2(s51, s52)),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4548, 4547])).
% 8.38/5.89 tff(4550,plain,
% 8.38/5.89 (node2(s51, s52)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4549, 7, 4408])).
% 8.38/5.89 tff(4551,plain,
% 8.38/5.89 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4552,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.38/5.89 inference(quant_inst,[status(thm)],[])).
% 8.38/5.89 tff(4553,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4552, 4551])).
% 8.38/5.89 tff(4554,plain,
% 8.38/5.89 ((~m_main_v_state(s51, c_ready)) | m_main_v_state(s52, c_busy) | (~m_main_v_request(s51))),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4553, 191, 4550])).
% 8.38/5.89 tff(4555,plain,
% 8.38/5.89 (~m_main_v_state(s51, c_ready)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4554, 4546, 4541])).
% 8.38/5.89 tff(4556,plain,
% 8.38/5.89 (always3(s51)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4416, 22, 4542])).
% 8.38/5.89 tff(4557,plain,
% 8.38/5.89 (~m_main_v_state(s51, c_busy)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4370, 170, 4556])).
% 8.38/5.89 tff(4558,plain,
% 8.38/5.89 (((~![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))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4559,plain,
% 8.38/5.89 ((~![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))),
% 8.38/5.89 inference(quant_inst,[status(thm)],[])).
% 8.38/5.89 tff(4560,plain,
% 8.38/5.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s51, c_busy) | m_main_v_state(s51, c_ready)),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4559, 4558])).
% 8.38/5.89 tff(4561,plain,
% 8.38/5.89 ($false),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4560, 213, 4557, 4555])).
% 8.38/5.89 tff(4562,plain,((~node4(s51)) | m_main_v_state(s52, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.38/5.89 tff(4563,plain,
% 8.38/5.89 (~node4(s51)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4562, 4536])).
% 8.38/5.89 tff(4564,assumption,(until5(s51)), introduced(assumption)).
% 8.38/5.89 tff(4565,plain,
% 8.38/5.89 (xuntil6(s51) | node4(s51)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4440, 36, 4564])).
% 8.38/5.89 tff(4566,plain,
% 8.38/5.89 (xuntil6(s51)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4565, 4563])).
% 8.38/5.89 tff(4567,plain,
% 8.38/5.89 (until5(s52)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4433, 4566])).
% 8.38/5.89 tff(4568,plain,
% 8.38/5.89 (node4(s52)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4428, 4567])).
% 8.38/5.89 tff(4569,plain,
% 8.38/5.89 (((~![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)))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4570,plain,
% 8.38/5.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s52) | (~node4(s52)))),
% 8.38/5.89 inference(quant_inst,[status(thm)],[])).
% 8.38/5.89 tff(4571,plain,
% 8.38/5.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s52) | (~node4(s52))),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4570, 4569])).
% 8.38/5.89 tff(4572,plain,
% 8.38/5.89 (m_main_v_request(s52)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4571, 154, 4568])).
% 8.38/5.89 tff(4573,plain,
% 8.38/5.89 (((~![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))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4574,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s52, s53)) | node2(s52, s53))),
% 8.38/5.89 inference(quant_inst,[status(thm)],[])).
% 8.38/5.89 tff(4575,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s52, s53)) | node2(s52, s53)),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4574, 4573])).
% 8.38/5.89 tff(4576,plain,
% 8.38/5.89 (node2(s52, s53)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4575, 7, 4517])).
% 8.38/5.89 tff(4577,plain,
% 8.38/5.89 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4578,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.38/5.89 inference(quant_inst,[status(thm)],[])).
% 8.38/5.89 tff(4579,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s52, c_ready)) | (~node2(s52, s53)) | m_main_v_state(s53, c_busy) | (~m_main_v_request(s52))),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4578, 4577])).
% 8.38/5.89 tff(4580,plain,
% 8.38/5.89 ((~m_main_v_state(s52, c_ready)) | m_main_v_state(s53, c_busy) | (~m_main_v_request(s52))),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4579, 191, 4576])).
% 8.38/5.89 tff(4581,plain,
% 8.38/5.89 ($false),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4580, 4572, 4540, 4529])).
% 8.38/5.89 tff(4582,plain,(xuntil6(s52) | (~until5(s51))), inference(lemma,lemma(discharge,[]))).
% 8.38/5.89 tff(4583,plain,
% 8.38/5.89 (xuntil6(s52)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4582, 4399])).
% 8.38/5.89 tff(4584,plain,
% 8.38/5.89 (((~![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))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4585,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s52, s53)) | (~xuntil6(s52)) | until5(s53))),
% 8.38/5.89 inference(quant_inst,[status(thm)],[])).
% 8.38/5.89 tff(4586,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s52, s53)) | (~xuntil6(s52)) | until5(s53)),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4585, 4584])).
% 8.38/5.89 tff(4587,plain,
% 8.38/5.89 ((~xuntil6(s52)) | until5(s53)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4586, 4513, 141])).
% 8.38/5.89 tff(4588,plain,
% 8.38/5.89 (until5(s53)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4587, 4583])).
% 8.38/5.89 tff(4589,assumption,(until5(s53)), introduced(assumption)).
% 8.38/5.89 tff(4590,assumption,(~xuntil6(s55)), introduced(assumption)).
% 8.38/5.89 tff(4591,assumption,(~always3(s55)), introduced(assumption)).
% 8.38/5.89 tff(4592,plain,
% 8.38/5.89 (succ(s54, s55) <=> succ(s54, s55)),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4593,axiom,(succ(s54, s55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound55')).
% 8.38/5.89 tff(4594,plain,
% 8.38/5.89 (succ(s54, s55)),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4593, 4592])).
% 8.38/5.89 tff(4595,plain,
% 8.38/5.89 (((~![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))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4596,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s54, s55)) | trans(s54, s55))),
% 8.38/5.89 inference(quant_inst,[status(thm)],[])).
% 8.38/5.89 tff(4597,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s54, s55)) | trans(s54, s55)),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4596, 4595])).
% 8.38/5.89 tff(4598,plain,
% 8.38/5.89 (trans(s54, s55)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4597, 4594, 51])).
% 8.38/5.89 tff(4599,plain,
% 8.38/5.89 (((~![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))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4600,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s54, s55)) | (~always3(s54)) | always3(s55))),
% 8.38/5.89 inference(quant_inst,[status(thm)],[])).
% 8.38/5.89 tff(4601,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s54, s55)) | (~always3(s54)) | always3(s55)),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4600, 4599])).
% 8.38/5.89 tff(4602,plain,
% 8.38/5.89 ((~always3(s54)) | always3(s55)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4601, 68, 4598])).
% 8.38/5.89 tff(4603,plain,
% 8.38/5.89 (~always3(s54)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4602, 4591])).
% 8.38/5.89 tff(4604,plain,
% 8.38/5.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s54) | (~node4(s54)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s54) | (~node4(s54)))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4605,plain,
% 8.38/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s54) | (~node4(s54)))),
% 8.38/5.89 inference(quant_inst,[status(thm)],[])).
% 8.38/5.89 tff(4606,plain,
% 8.38/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s54) | (~node4(s54))),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4605, 4604])).
% 8.38/5.89 tff(4607,plain,
% 8.38/5.89 (~node4(s54)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4606, 22, 4603])).
% 8.38/5.89 tff(4608,plain,
% 8.38/5.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s55) | (~node4(s55)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s55) | (~node4(s55)))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4609,plain,
% 8.38/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s55) | (~node4(s55)))),
% 8.38/5.89 inference(quant_inst,[status(thm)],[])).
% 8.38/5.89 tff(4610,plain,
% 8.38/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s55) | (~node4(s55))),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4609, 4608])).
% 8.38/5.89 tff(4611,plain,
% 8.38/5.89 (~node4(s55)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4610, 22, 4591])).
% 8.38/5.89 tff(4612,plain,
% 8.38/5.89 (((~![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)))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4613,plain,
% 8.38/5.89 ((node4(s55) | (~until5(s55)) | xuntil6(s55)) <=> (xuntil6(s55) | node4(s55) | (~until5(s55)))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4614,plain,
% 8.38/5.89 (((~![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))))),
% 8.38/5.89 inference(monotonicity,[status(thm)],[4613])).
% 8.38/5.89 tff(4615,plain,
% 8.38/5.89 (((~![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)))),
% 8.38/5.89 inference(transitivity,[status(thm)],[4614, 4612])).
% 8.38/5.89 tff(4616,plain,
% 8.38/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s55) | (~until5(s55)) | xuntil6(s55))),
% 8.38/5.89 inference(quant_inst,[status(thm)],[])).
% 8.38/5.89 tff(4617,plain,
% 8.38/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s55) | node4(s55) | (~until5(s55))),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4616, 4615])).
% 8.38/5.89 tff(4618,plain,
% 8.38/5.89 (node4(s55) | (~until5(s55))),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4617, 36, 4590])).
% 8.38/5.89 tff(4619,plain,
% 8.38/5.89 (~until5(s55)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4618, 4611])).
% 8.38/5.89 tff(4620,plain,
% 8.38/5.89 (((~![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))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4621,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s54, s55)) | (~xuntil6(s54)) | until5(s55))),
% 8.38/5.89 inference(quant_inst,[status(thm)],[])).
% 8.38/5.89 tff(4622,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s54, s55)) | (~xuntil6(s54)) | until5(s55)),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4621, 4620])).
% 8.38/5.89 tff(4623,plain,
% 8.38/5.89 ((~xuntil6(s54)) | until5(s55)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4622, 4594, 141])).
% 8.38/5.89 tff(4624,plain,
% 8.38/5.89 (~xuntil6(s54)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4623, 4619])).
% 8.38/5.89 tff(4625,plain,
% 8.38/5.89 (((~![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)))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4626,plain,
% 8.38/5.89 ((node4(s54) | (~until5(s54)) | xuntil6(s54)) <=> (xuntil6(s54) | node4(s54) | (~until5(s54)))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4627,plain,
% 8.38/5.89 (((~![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))))),
% 8.38/5.89 inference(monotonicity,[status(thm)],[4626])).
% 8.38/5.89 tff(4628,plain,
% 8.38/5.89 (((~![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)))),
% 8.38/5.89 inference(transitivity,[status(thm)],[4627, 4625])).
% 8.38/5.89 tff(4629,plain,
% 8.38/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s54) | (~until5(s54)) | xuntil6(s54))),
% 8.38/5.89 inference(quant_inst,[status(thm)],[])).
% 8.38/5.89 tff(4630,plain,
% 8.38/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s54) | node4(s54) | (~until5(s54))),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4629, 4628])).
% 8.38/5.89 tff(4631,plain,
% 8.38/5.89 (~until5(s54)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4630, 36, 4624, 4607])).
% 8.38/5.89 tff(4632,plain,
% 8.38/5.89 (succ(s53, s54) <=> succ(s53, s54)),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4633,axiom,(succ(s53, s54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound54')).
% 8.38/5.89 tff(4634,plain,
% 8.38/5.89 (succ(s53, s54)),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4633, 4632])).
% 8.38/5.89 tff(4635,plain,
% 8.38/5.89 (((~![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))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4636,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s53, s54)) | (~xuntil6(s53)) | until5(s54))),
% 8.38/5.89 inference(quant_inst,[status(thm)],[])).
% 8.38/5.89 tff(4637,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s53, s54)) | (~xuntil6(s53)) | until5(s54)),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4636, 4635])).
% 8.38/5.89 tff(4638,plain,
% 8.38/5.89 ((~xuntil6(s53)) | until5(s54)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4637, 4634, 141])).
% 8.38/5.89 tff(4639,plain,
% 8.38/5.89 (~xuntil6(s53)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4638, 4631])).
% 8.38/5.89 tff(4640,plain,
% 8.38/5.89 (((~![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))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4641,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s53, s54)) | trans(s53, s54))),
% 8.38/5.89 inference(quant_inst,[status(thm)],[])).
% 8.38/5.89 tff(4642,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s53, s54)) | trans(s53, s54)),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4641, 4640])).
% 8.38/5.89 tff(4643,plain,
% 8.38/5.89 (trans(s53, s54)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4642, 4634, 51])).
% 8.38/5.89 tff(4644,plain,
% 8.38/5.89 (((~![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))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4645,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s53, s54)) | (~always3(s53)) | always3(s54))),
% 8.38/5.89 inference(quant_inst,[status(thm)],[])).
% 8.38/5.89 tff(4646,plain,
% 8.38/5.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s53, s54)) | (~always3(s53)) | always3(s54)),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4645, 4644])).
% 8.38/5.89 tff(4647,plain,
% 8.38/5.89 ((~always3(s53)) | always3(s54)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4646, 68, 4643])).
% 8.38/5.89 tff(4648,plain,
% 8.38/5.89 (~always3(s53)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4647, 4603])).
% 8.38/5.89 tff(4649,plain,
% 8.38/5.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s53) | (~node4(s53)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s53) | (~node4(s53)))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4650,plain,
% 8.38/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s53) | (~node4(s53)))),
% 8.38/5.89 inference(quant_inst,[status(thm)],[])).
% 8.38/5.89 tff(4651,plain,
% 8.38/5.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s53) | (~node4(s53))),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4650, 4649])).
% 8.38/5.89 tff(4652,plain,
% 8.38/5.89 (~node4(s53)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4651, 22, 4648])).
% 8.38/5.89 tff(4653,plain,
% 8.38/5.89 (((~![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)))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4654,plain,
% 8.38/5.89 ((node4(s53) | (~until5(s53)) | xuntil6(s53)) <=> (xuntil6(s53) | node4(s53) | (~until5(s53)))),
% 8.38/5.89 inference(rewrite,[status(thm)],[])).
% 8.38/5.89 tff(4655,plain,
% 8.38/5.89 (((~![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))))),
% 8.38/5.89 inference(monotonicity,[status(thm)],[4654])).
% 8.38/5.89 tff(4656,plain,
% 8.38/5.89 (((~![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)))),
% 8.38/5.89 inference(transitivity,[status(thm)],[4655, 4653])).
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% 8.38/5.89 inference(quant_inst,[status(thm)],[])).
% 8.38/5.89 tff(4658,plain,
% 8.38/5.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s53) | node4(s53) | (~until5(s53))),
% 8.38/5.89 inference(modus_ponens,[status(thm)],[4657, 4656])).
% 8.38/5.89 tff(4659,plain,
% 8.38/5.89 (xuntil6(s53) | (~until5(s53))),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4658, 36, 4652])).
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% 8.38/5.89 (~until5(s53)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4659, 4639])).
% 8.38/5.89 tff(4661,plain,
% 8.38/5.89 (~xuntil6(s52)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4587, 4660])).
% 8.38/5.89 tff(4662,plain,
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% 8.38/5.89 inference(unit_resolution,[status(thm)],[4521, 4648])).
% 8.38/5.89 tff(4663,plain,
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% 8.38/5.89 inference(unit_resolution,[status(thm)],[4420, 22, 4662])).
% 8.38/5.89 tff(4664,plain,
% 8.38/5.89 (xuntil6(s52) | (~until5(s52))),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4427, 36, 4663])).
% 8.38/5.89 tff(4665,plain,
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% 8.38/5.89 inference(unit_resolution,[status(thm)],[4664, 4661])).
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% 8.38/5.89 inference(unit_resolution,[status(thm)],[4433, 4665])).
% 8.38/5.89 tff(4667,plain,
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% 8.38/5.89 inference(unit_resolution,[status(thm)],[4412, 4662])).
% 8.38/5.89 tff(4668,plain,
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% 8.38/5.89 inference(unit_resolution,[status(thm)],[4416, 22, 4667])).
% 8.38/5.89 tff(4669,plain,
% 8.38/5.89 (xuntil6(s51) | (~until5(s51))),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4440, 36, 4668])).
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% 8.38/5.89 inference(unit_resolution,[status(thm)],[4669, 4666])).
% 8.38/5.89 tff(4671,plain,
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% 8.38/5.89 inference(unit_resolution,[status(thm)],[4398, 4670])).
% 8.38/5.89 tff(4672,plain,
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% 8.38/5.89 inference(unit_resolution,[status(thm)],[4363, 4667])).
% 8.38/5.89 tff(4673,plain,
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% 8.38/5.89 inference(unit_resolution,[status(thm)],[4351, 22, 4672])).
% 8.38/5.89 tff(4674,plain,
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% 8.38/5.89 inference(unit_resolution,[status(thm)],[4392, 36, 4673])).
% 8.38/5.89 tff(4675,plain,
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% 8.38/5.89 inference(unit_resolution,[status(thm)],[4674, 4671])).
% 8.38/5.89 tff(4676,plain,
% 8.38/5.89 (~xuntil6(s49)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4342, 4675])).
% 8.38/5.89 tff(4677,plain,
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% 8.38/5.89 inference(unit_resolution,[status(thm)],[3944, 4672])).
% 8.38/5.89 tff(4678,plain,
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% 8.38/5.89 inference(unit_resolution,[status(thm)],[3762, 22, 4677])).
% 8.38/5.89 tff(4679,plain,
% 8.38/5.89 (xuntil6(s49) | (~until5(s49))),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3769, 36, 4678])).
% 8.38/5.89 tff(4680,plain,
% 8.38/5.89 (~until5(s49)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4679, 4676])).
% 8.38/5.89 tff(4681,plain,
% 8.38/5.89 (~xuntil6(s48)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3775, 4680])).
% 8.38/5.89 tff(4682,plain,
% 8.38/5.89 (~always3(s48)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3754, 4677])).
% 8.38/5.89 tff(4683,plain,
% 8.38/5.89 (~node4(s48)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3758, 22, 4682])).
% 8.38/5.89 tff(4684,plain,
% 8.38/5.89 (xuntil6(s48) | (~until5(s48))),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3782, 36, 4683])).
% 8.38/5.89 tff(4685,plain,
% 8.38/5.89 (~until5(s48)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4684, 4681])).
% 8.38/5.89 tff(4686,plain,
% 8.38/5.89 (~xuntil6(s47)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3790, 4685])).
% 8.38/5.89 tff(4687,plain,
% 8.38/5.89 (~always3(s47)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3799, 4682])).
% 8.38/5.89 tff(4688,plain,
% 8.38/5.89 (~node4(s47)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3803, 22, 4687])).
% 8.38/5.89 tff(4689,plain,
% 8.38/5.89 (xuntil6(s47) | (~until5(s47))),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3810, 36, 4688])).
% 8.38/5.89 tff(4690,plain,
% 8.38/5.89 (~until5(s47)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4689, 4686])).
% 8.38/5.89 tff(4691,plain,
% 8.38/5.89 (~always3(s46)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3828, 4687])).
% 8.38/5.89 tff(4692,plain,
% 8.38/5.89 (~always3(s45)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3857, 4691])).
% 8.38/5.89 tff(4693,plain,
% 8.38/5.89 (~always3(s44)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3886, 4692])).
% 8.38/5.89 tff(4694,plain,
% 8.38/5.89 (~always3(s43)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3705, 4693])).
% 8.38/5.89 tff(4695,plain,
% 8.38/5.89 (~always3(s42)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3618, 4694])).
% 8.38/5.89 tff(4696,plain,
% 8.38/5.89 (~always3(s41)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3559, 4695])).
% 8.38/5.89 tff(4697,plain,
% 8.38/5.89 (~always3(s40)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3474, 4696])).
% 8.38/5.89 tff(4698,plain,
% 8.38/5.89 (~always3(s39)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3424, 4697])).
% 8.38/5.89 tff(4699,plain,
% 8.38/5.89 (~node4(s39)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3428, 22, 4698])).
% 8.38/5.89 tff(4700,plain,
% 8.38/5.89 (~always3(s38)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3233, 4698])).
% 8.38/5.89 tff(4701,plain,
% 8.38/5.89 (~node4(s38)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3219, 22, 4700])).
% 8.38/5.89 tff(4702,plain,
% 8.38/5.89 (~always3(s37)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[2932, 4700])).
% 8.38/5.89 tff(4703,plain,
% 8.38/5.89 (xuntil6(s37)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3202, 4702])).
% 8.38/5.89 tff(4704,plain,
% 8.38/5.89 (until5(s38)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3207, 4703])).
% 8.38/5.89 tff(4705,plain,
% 8.38/5.89 (xuntil6(s38) | node4(s38)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3214, 36, 4704])).
% 8.38/5.89 tff(4706,plain,
% 8.38/5.89 (xuntil6(s38)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4705, 4701])).
% 8.38/5.89 tff(4707,plain,
% 8.38/5.89 (until5(s39)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3410, 4706])).
% 8.38/5.89 tff(4708,plain,
% 8.38/5.89 (xuntil6(s39)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3460, 36, 4707, 4699])).
% 8.38/5.89 tff(4709,plain,
% 8.38/5.89 (until5(s40)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3445, 4708])).
% 8.38/5.89 tff(4710,plain,
% 8.38/5.89 (~node4(s40)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3432, 22, 4697])).
% 8.38/5.89 tff(4711,plain,
% 8.38/5.89 (xuntil6(s40) | (~until5(s40))),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3439, 36, 4710])).
% 8.38/5.89 tff(4712,plain,
% 8.38/5.89 (xuntil6(s40)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4711, 4709])).
% 8.38/5.89 tff(4713,plain,
% 8.38/5.89 (until5(s41)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3545, 4712])).
% 8.38/5.89 tff(4714,plain,
% 8.38/5.89 (~node4(s41)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3563, 22, 4696])).
% 8.38/5.89 tff(4715,plain,
% 8.38/5.89 (xuntil6(s41) | (~until5(s41))),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3587, 36, 4714])).
% 8.38/5.89 tff(4716,plain,
% 8.38/5.89 (xuntil6(s41)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4715, 4713])).
% 8.38/5.89 tff(4717,plain,
% 8.38/5.89 (until5(s42)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3580, 4716])).
% 8.38/5.89 tff(4718,plain,
% 8.38/5.89 (~node4(s42)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3567, 22, 4695])).
% 8.38/5.89 tff(4719,plain,
% 8.38/5.89 (xuntil6(s42) | (~until5(s42))),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3574, 36, 4718])).
% 8.38/5.89 tff(4720,plain,
% 8.38/5.89 (xuntil6(s42)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4719, 4717])).
% 8.38/5.89 tff(4721,plain,
% 8.38/5.89 (until5(s43)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3684, 4720])).
% 8.38/5.89 tff(4722,plain,
% 8.38/5.89 (~node4(s43)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3693, 22, 4694])).
% 8.38/5.89 tff(4723,plain,
% 8.38/5.89 (xuntil6(s43) | (~until5(s43))),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3734, 36, 4722])).
% 8.38/5.89 tff(4724,plain,
% 8.38/5.89 (xuntil6(s43)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[4723, 4721])).
% 8.38/5.89 tff(4725,plain,
% 8.38/5.89 (until5(s44)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3740, 4724])).
% 8.38/5.89 tff(4726,plain,
% 8.38/5.89 (~node4(s44)),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3890, 22, 4693])).
% 8.38/5.89 tff(4727,plain,
% 8.38/5.89 (xuntil6(s44) | (~until5(s44))),
% 8.38/5.89 inference(unit_resolution,[status(thm)],[3897, 36, 4726])).
% 8.38/5.89 tff(4728,plain,
% 8.38/5.89 (xuntil6(s44)),
% 8.38/5.90 inference(unit_resolution,[status(thm)],[4727, 4725])).
% 8.38/5.90 tff(4729,plain,
% 8.38/5.90 (until5(s45)),
% 8.38/5.90 inference(unit_resolution,[status(thm)],[3877, 4728])).
% 8.38/5.90 tff(4730,plain,
% 8.38/5.90 (~node4(s45)),
% 8.38/5.90 inference(unit_resolution,[status(thm)],[3861, 22, 4692])).
% 8.38/5.90 tff(4731,plain,
% 8.38/5.90 (xuntil6(s45) | (~until5(s45))),
% 8.38/5.90 inference(unit_resolution,[status(thm)],[3868, 36, 4730])).
% 8.38/5.90 tff(4732,plain,
% 8.38/5.90 (xuntil6(s45)),
% 8.38/5.90 inference(unit_resolution,[status(thm)],[4731, 4729])).
% 8.38/5.90 tff(4733,plain,
% 8.38/5.90 (until5(s46)),
% 8.38/5.90 inference(unit_resolution,[status(thm)],[3848, 4732])).
% 8.38/5.90 tff(4734,plain,
% 8.38/5.90 (~node4(s46)),
% 8.38/5.90 inference(unit_resolution,[status(thm)],[3832, 22, 4691])).
% 8.38/5.90 tff(4735,plain,
% 8.38/5.90 (xuntil6(s46) | (~until5(s46))),
% 8.38/5.90 inference(unit_resolution,[status(thm)],[3839, 36, 4734])).
% 8.38/5.90 tff(4736,plain,
% 8.38/5.90 (xuntil6(s46)),
% 8.38/5.90 inference(unit_resolution,[status(thm)],[4735, 4733])).
% 8.38/5.90 tff(4737,plain,
% 8.38/5.90 ($false),
% 8.38/5.90 inference(unit_resolution,[status(thm)],[3819, 4736, 4690])).
% 8.38/5.90 tff(4738,plain,(always3(s55) | xuntil6(s55)), inference(lemma,lemma(discharge,[]))).
% 8.38/5.90 tff(4739,plain,
% 8.38/5.90 (always3(s55)),
% 8.38/5.90 inference(unit_resolution,[status(thm)],[4738, 4590])).
% 8.38/5.90 tff(4740,plain,
% 8.38/5.90 (succ(s55, s56) <=> succ(s55, s56)),
% 8.38/5.90 inference(rewrite,[status(thm)],[])).
% 8.38/5.90 tff(4741,axiom,(succ(s55, s56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound56')).
% 8.38/5.90 tff(4742,plain,
% 8.38/5.90 (succ(s55, s56)),
% 8.38/5.90 inference(modus_ponens,[status(thm)],[4741, 4740])).
% 8.38/5.90 tff(4743,plain,
% 8.38/5.90 (((~![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))),
% 8.38/5.90 inference(rewrite,[status(thm)],[])).
% 8.38/5.90 tff(4744,plain,
% 8.38/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s55, s56)) | trans(s55, s56))),
% 8.38/5.90 inference(quant_inst,[status(thm)],[])).
% 8.38/5.90 tff(4745,plain,
% 8.38/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s55, s56)) | trans(s55, s56)),
% 8.38/5.90 inference(modus_ponens,[status(thm)],[4744, 4743])).
% 8.38/5.90 tff(4746,plain,
% 8.38/5.90 (trans(s55, s56)),
% 8.38/5.90 inference(unit_resolution,[status(thm)],[4745, 4742, 51])).
% 8.38/5.90 tff(4747,plain,
% 8.38/5.90 (((~![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))),
% 8.38/5.90 inference(rewrite,[status(thm)],[])).
% 8.38/5.90 tff(4748,plain,
% 8.38/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s55, s56)) | (~always3(s55)) | always3(s56))),
% 8.38/5.90 inference(quant_inst,[status(thm)],[])).
% 8.38/5.90 tff(4749,plain,
% 8.38/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s55, s56)) | (~always3(s55)) | always3(s56)),
% 8.38/5.90 inference(modus_ponens,[status(thm)],[4748, 4747])).
% 8.38/5.90 tff(4750,plain,
% 8.38/5.90 ((~always3(s55)) | always3(s56)),
% 8.38/5.90 inference(unit_resolution,[status(thm)],[4749, 68, 4746])).
% 8.38/5.90 tff(4751,plain,
% 8.38/5.90 (always3(s56)),
% 8.38/5.90 inference(unit_resolution,[status(thm)],[4750, 4739])).
% 8.38/5.90 tff(4752,plain,
% 8.38/5.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s56)) | (~m_main_v_state(s56, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s56)) | (~m_main_v_state(s56, c_busy)))),
% 8.38/5.90 inference(rewrite,[status(thm)],[])).
% 8.38/5.90 tff(4753,plain,
% 8.38/5.90 (((~m_main_v_state(s56, c_busy)) | (~always3(s56))) <=> ((~always3(s56)) | (~m_main_v_state(s56, c_busy)))),
% 8.38/5.90 inference(rewrite,[status(thm)],[])).
% 8.38/5.90 tff(4754,plain,
% 8.38/5.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s56, c_busy)) | (~always3(s56)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s56)) | (~m_main_v_state(s56, c_busy))))),
% 8.38/5.90 inference(monotonicity,[status(thm)],[4753])).
% 8.38/5.90 tff(4755,plain,
% 8.38/5.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s56, c_busy)) | (~always3(s56)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s56)) | (~m_main_v_state(s56, c_busy)))),
% 8.38/5.90 inference(transitivity,[status(thm)],[4754, 4752])).
% 8.38/5.90 tff(4756,plain,
% 8.38/5.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s56, c_busy)) | (~always3(s56)))),
% 8.38/5.90 inference(quant_inst,[status(thm)],[])).
% 8.38/5.90 tff(4757,plain,
% 8.38/5.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s56)) | (~m_main_v_state(s56, c_busy))),
% 8.38/5.90 inference(modus_ponens,[status(thm)],[4756, 4755])).
% 8.38/5.90 tff(4758,plain,
% 8.38/5.90 (~m_main_v_state(s56, c_busy)),
% 8.38/5.90 inference(unit_resolution,[status(thm)],[4757, 170, 4751])).
% 8.38/5.90 tff(4759,assumption,(until5(s55)), introduced(assumption)).
% 8.38/5.90 tff(4760,plain,
% 8.38/5.90 (xuntil6(s55) | node4(s55)),
% 8.38/5.90 inference(unit_resolution,[status(thm)],[4617, 36, 4759])).
% 8.38/5.90 tff(4761,plain,
% 8.38/5.90 (node4(s55)),
% 8.38/5.90 inference(unit_resolution,[status(thm)],[4760, 4590])).
% 8.38/5.90 tff(4762,plain,
% 8.38/5.90 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s55) | (~node4(s55)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s55) | (~node4(s55)))),
% 8.38/5.90 inference(rewrite,[status(thm)],[])).
% 8.38/5.90 tff(4763,plain,
% 8.38/5.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s55) | (~node4(s55)))),
% 8.38/5.90 inference(quant_inst,[status(thm)],[])).
% 8.38/5.90 tff(4764,plain,
% 8.38/5.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s55) | (~node4(s55))),
% 8.38/5.90 inference(modus_ponens,[status(thm)],[4763, 4762])).
% 8.38/5.90 tff(4765,plain,
% 8.38/5.90 (m_main_v_request(s55)),
% 8.38/5.90 inference(unit_resolution,[status(thm)],[4764, 154, 4761])).
% 8.38/5.90 tff(4766,plain,
% 8.38/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s55, s56)) | node2(s55, s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s55, s56)) | node2(s55, s56))),
% 8.38/5.90 inference(rewrite,[status(thm)],[])).
% 8.38/5.90 tff(4767,plain,
% 8.38/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s55, s56)) | node2(s55, s56))),
% 8.38/5.90 inference(quant_inst,[status(thm)],[])).
% 8.38/5.90 tff(4768,plain,
% 8.38/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s55, s56)) | node2(s55, s56)),
% 8.38/5.90 inference(modus_ponens,[status(thm)],[4767, 4766])).
% 8.38/5.90 tff(4769,plain,
% 8.38/5.90 (node2(s55, s56)),
% 8.38/5.90 inference(unit_resolution,[status(thm)],[4768, 7, 4746])).
% 8.38/5.90 tff(4770,plain,
% 8.38/5.90 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s55, c_ready)) | (~node2(s55, s56)) | m_main_v_state(s56, c_busy) | (~m_main_v_request(s55)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s55, c_ready)) | (~node2(s55, s56)) | m_main_v_state(s56, c_busy) | (~m_main_v_request(s55)))),
% 8.38/5.90 inference(rewrite,[status(thm)],[])).
% 8.38/5.90 tff(4771,plain,
% 8.38/5.90 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s55, c_ready)) | (~node2(s55, s56)) | m_main_v_state(s56, c_busy) | (~m_main_v_request(s55)))),
% 8.38/5.90 inference(quant_inst,[status(thm)],[])).
% 8.38/5.90 tff(4772,plain,
% 8.38/5.90 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s55, c_ready)) | (~node2(s55, s56)) | m_main_v_state(s56, c_busy) | (~m_main_v_request(s55))),
% 8.38/5.90 inference(modus_ponens,[status(thm)],[4771, 4770])).
% 8.38/5.90 tff(4773,plain,
% 8.38/5.90 ((~m_main_v_state(s55, c_ready)) | m_main_v_state(s56, c_busy) | (~m_main_v_request(s55))),
% 8.38/5.90 inference(unit_resolution,[status(thm)],[4772, 191, 4769])).
% 8.38/5.90 tff(4774,plain,
% 8.38/5.90 (~m_main_v_state(s55, c_ready)),
% 8.38/5.90 inference(unit_resolution,[status(thm)],[4773, 4765, 4758])).
% 8.38/5.90 tff(4775,plain,
% 8.38/5.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s55)) | (~m_main_v_state(s55, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s55)) | (~m_main_v_state(s55, c_busy)))),
% 8.38/5.90 inference(rewrite,[status(thm)],[])).
% 8.38/5.90 tff(4776,plain,
% 8.38/5.90 (((~m_main_v_state(s55, c_busy)) | (~always3(s55))) <=> ((~always3(s55)) | (~m_main_v_state(s55, c_busy)))),
% 8.46/5.90 inference(rewrite,[status(thm)],[])).
% 8.46/5.90 tff(4777,plain,
% 8.46/5.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s55, c_busy)) | (~always3(s55)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s55)) | (~m_main_v_state(s55, c_busy))))),
% 8.46/5.90 inference(monotonicity,[status(thm)],[4776])).
% 8.46/5.90 tff(4778,plain,
% 8.46/5.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s55, c_busy)) | (~always3(s55)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s55)) | (~m_main_v_state(s55, c_busy)))),
% 8.46/5.90 inference(transitivity,[status(thm)],[4777, 4775])).
% 8.46/5.90 tff(4779,plain,
% 8.46/5.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s55, c_busy)) | (~always3(s55)))),
% 8.46/5.90 inference(quant_inst,[status(thm)],[])).
% 8.46/5.90 tff(4780,plain,
% 8.46/5.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s55)) | (~m_main_v_state(s55, c_busy))),
% 8.46/5.90 inference(modus_ponens,[status(thm)],[4779, 4778])).
% 8.46/5.90 tff(4781,plain,
% 8.46/5.90 (~m_main_v_state(s55, c_busy)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4780, 170, 4739])).
% 8.46/5.90 tff(4782,plain,
% 8.46/5.90 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s55, c_busy) | m_main_v_state(s55, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s55, c_busy) | m_main_v_state(s55, c_ready))),
% 8.46/5.90 inference(rewrite,[status(thm)],[])).
% 8.46/5.90 tff(4783,plain,
% 8.46/5.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s55, c_busy) | m_main_v_state(s55, c_ready))),
% 8.46/5.90 inference(quant_inst,[status(thm)],[])).
% 8.46/5.90 tff(4784,plain,
% 8.46/5.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s55, c_busy) | m_main_v_state(s55, c_ready)),
% 8.46/5.90 inference(modus_ponens,[status(thm)],[4783, 4782])).
% 8.46/5.90 tff(4785,plain,
% 8.46/5.90 ($false),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4784, 213, 4781, 4774])).
% 8.46/5.90 tff(4786,plain,(xuntil6(s55) | (~until5(s55))), inference(lemma,lemma(discharge,[]))).
% 8.46/5.90 tff(4787,plain,
% 8.46/5.90 (~until5(s55)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4786, 4590])).
% 8.46/5.90 tff(4788,plain,
% 8.46/5.90 (~xuntil6(s54)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4623, 4787])).
% 8.46/5.90 tff(4789,assumption,(~xuntil6(s54)), introduced(assumption)).
% 8.46/5.90 tff(4790,assumption,(~always3(s54)), introduced(assumption)).
% 8.46/5.90 tff(4791,plain,
% 8.46/5.90 (~always3(s53)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4647, 4790])).
% 8.46/5.90 tff(4792,plain,
% 8.46/5.90 (~node4(s53)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4651, 22, 4791])).
% 8.46/5.90 tff(4793,plain,
% 8.46/5.90 (xuntil6(s53) | node4(s53)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4658, 36, 4589])).
% 8.46/5.90 tff(4794,plain,
% 8.46/5.90 (xuntil6(s53)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4793, 4792])).
% 8.46/5.90 tff(4795,plain,
% 8.46/5.90 (until5(s54)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4638, 4794])).
% 8.46/5.90 tff(4796,plain,
% 8.46/5.90 (node4(s54) | (~until5(s54))),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4630, 36, 4789])).
% 8.46/5.90 tff(4797,plain,
% 8.46/5.90 (node4(s54)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4796, 4795])).
% 8.46/5.90 tff(4798,plain,
% 8.46/5.90 ($false),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4606, 22, 4790, 4797])).
% 8.46/5.90 tff(4799,plain,(always3(s54) | xuntil6(s54) | (~until5(s53))), inference(lemma,lemma(discharge,[]))).
% 8.46/5.90 tff(4800,plain,
% 8.46/5.90 (always3(s54)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4799, 4589, 4789])).
% 8.46/5.90 tff(4801,plain,
% 8.46/5.90 (((~![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)))),
% 8.46/5.90 inference(rewrite,[status(thm)],[])).
% 8.46/5.90 tff(4802,plain,
% 8.46/5.90 (((~m_main_v_state(s54, c_busy)) | (~always3(s54))) <=> ((~always3(s54)) | (~m_main_v_state(s54, c_busy)))),
% 8.46/5.90 inference(rewrite,[status(thm)],[])).
% 8.46/5.90 tff(4803,plain,
% 8.46/5.90 (((~![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))))),
% 8.46/5.90 inference(monotonicity,[status(thm)],[4802])).
% 8.46/5.90 tff(4804,plain,
% 8.46/5.90 (((~![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)))),
% 8.46/5.90 inference(transitivity,[status(thm)],[4803, 4801])).
% 8.46/5.90 tff(4805,plain,
% 8.46/5.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s54, c_busy)) | (~always3(s54)))),
% 8.46/5.90 inference(quant_inst,[status(thm)],[])).
% 8.46/5.90 tff(4806,plain,
% 8.46/5.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s54)) | (~m_main_v_state(s54, c_busy))),
% 8.46/5.90 inference(modus_ponens,[status(thm)],[4805, 4804])).
% 8.46/5.90 tff(4807,plain,
% 8.46/5.90 (~m_main_v_state(s54, c_busy)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4806, 170, 4800])).
% 8.46/5.90 tff(4808,assumption,(~m_main_v_state(s55, c_busy)), introduced(assumption)).
% 8.46/5.90 tff(4809,plain,
% 8.46/5.90 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s54, c_busy) | m_main_v_state(s54, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s54, c_busy) | m_main_v_state(s54, c_ready))),
% 8.46/5.90 inference(rewrite,[status(thm)],[])).
% 8.46/5.90 tff(4810,plain,
% 8.46/5.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s54, c_busy) | m_main_v_state(s54, c_ready))),
% 8.46/5.90 inference(quant_inst,[status(thm)],[])).
% 8.46/5.90 tff(4811,plain,
% 8.46/5.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s54, c_busy) | m_main_v_state(s54, c_ready)),
% 8.46/5.90 inference(modus_ponens,[status(thm)],[4810, 4809])).
% 8.46/5.90 tff(4812,plain,
% 8.46/5.90 (m_main_v_state(s54, c_ready)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4811, 213, 4807])).
% 8.46/5.90 tff(4813,plain,
% 8.46/5.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s54, s55)) | node2(s54, s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s54, s55)) | node2(s54, s55))),
% 8.46/5.90 inference(rewrite,[status(thm)],[])).
% 8.46/5.90 tff(4814,plain,
% 8.46/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s54, s55)) | node2(s54, s55))),
% 8.46/5.90 inference(quant_inst,[status(thm)],[])).
% 8.46/5.90 tff(4815,plain,
% 8.46/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s54, s55)) | node2(s54, s55)),
% 8.46/5.90 inference(modus_ponens,[status(thm)],[4814, 4813])).
% 8.46/5.90 tff(4816,plain,
% 8.46/5.90 (node2(s54, s55)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4815, 7, 4598])).
% 8.46/5.90 tff(4817,plain,
% 8.46/5.90 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s54, c_ready)) | (~node2(s54, s55)) | m_main_v_state(s55, c_busy) | (~m_main_v_request(s54)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s54, c_ready)) | (~node2(s54, s55)) | m_main_v_state(s55, c_busy) | (~m_main_v_request(s54)))),
% 8.46/5.90 inference(rewrite,[status(thm)],[])).
% 8.46/5.90 tff(4818,plain,
% 8.46/5.90 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s54, c_ready)) | (~node2(s54, s55)) | m_main_v_state(s55, c_busy) | (~m_main_v_request(s54)))),
% 8.46/5.90 inference(quant_inst,[status(thm)],[])).
% 8.46/5.90 tff(4819,plain,
% 8.46/5.90 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s54, c_ready)) | (~node2(s54, s55)) | m_main_v_state(s55, c_busy) | (~m_main_v_request(s54))),
% 8.46/5.90 inference(modus_ponens,[status(thm)],[4818, 4817])).
% 8.46/5.90 tff(4820,plain,
% 8.46/5.90 ((~m_main_v_state(s54, c_ready)) | m_main_v_state(s55, c_busy) | (~m_main_v_request(s54))),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4819, 191, 4816])).
% 8.46/5.90 tff(4821,plain,
% 8.46/5.90 (~m_main_v_request(s54)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4820, 4812, 4808])).
% 8.46/5.90 tff(4822,plain,
% 8.46/5.90 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s54) | (~node4(s54)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s54) | (~node4(s54)))),
% 8.46/5.90 inference(rewrite,[status(thm)],[])).
% 8.46/5.90 tff(4823,plain,
% 8.46/5.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s54) | (~node4(s54)))),
% 8.46/5.90 inference(quant_inst,[status(thm)],[])).
% 8.46/5.90 tff(4824,plain,
% 8.46/5.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s54) | (~node4(s54))),
% 8.46/5.90 inference(modus_ponens,[status(thm)],[4823, 4822])).
% 8.46/5.90 tff(4825,plain,
% 8.46/5.90 (~node4(s54)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4824, 154, 4821])).
% 8.46/5.90 tff(4826,plain,
% 8.46/5.90 (~until5(s54)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4796, 4825])).
% 8.46/5.90 tff(4827,plain,
% 8.46/5.90 (~xuntil6(s53)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4638, 4826])).
% 8.46/5.90 tff(4828,plain,
% 8.46/5.90 (node4(s53)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4793, 4827])).
% 8.46/5.90 tff(4829,plain,
% 8.46/5.90 (((~![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)))),
% 8.46/5.90 inference(rewrite,[status(thm)],[])).
% 8.46/5.90 tff(4830,plain,
% 8.46/5.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s53) | (~node4(s53)))),
% 8.46/5.90 inference(quant_inst,[status(thm)],[])).
% 8.46/5.90 tff(4831,plain,
% 8.46/5.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s53) | (~node4(s53))),
% 8.46/5.90 inference(modus_ponens,[status(thm)],[4830, 4829])).
% 8.46/5.90 tff(4832,plain,
% 8.46/5.90 (m_main_v_request(s53)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4831, 154, 4828])).
% 8.46/5.90 tff(4833,plain,
% 8.46/5.90 (((~![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))),
% 8.46/5.90 inference(rewrite,[status(thm)],[])).
% 8.46/5.90 tff(4834,plain,
% 8.46/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s53, s54)) | node2(s53, s54))),
% 8.46/5.90 inference(quant_inst,[status(thm)],[])).
% 8.46/5.90 tff(4835,plain,
% 8.46/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s53, s54)) | node2(s53, s54)),
% 8.46/5.90 inference(modus_ponens,[status(thm)],[4834, 4833])).
% 8.46/5.90 tff(4836,plain,
% 8.46/5.90 (node2(s53, s54)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4835, 7, 4643])).
% 8.46/5.90 tff(4837,plain,
% 8.46/5.90 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.46/5.90 inference(rewrite,[status(thm)],[])).
% 8.46/5.90 tff(4838,plain,
% 8.46/5.90 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.46/5.90 inference(quant_inst,[status(thm)],[])).
% 8.46/5.90 tff(4839,plain,
% 8.46/5.90 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.46/5.90 inference(modus_ponens,[status(thm)],[4838, 4837])).
% 8.46/5.90 tff(4840,plain,
% 8.46/5.90 ((~m_main_v_state(s53, c_ready)) | m_main_v_state(s54, c_busy) | (~m_main_v_request(s53))),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4839, 191, 4836])).
% 8.46/5.90 tff(4841,plain,
% 8.46/5.90 (~m_main_v_state(s53, c_ready)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4840, 4832, 4807])).
% 8.46/5.90 tff(4842,plain,
% 8.46/5.90 (always3(s53)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4651, 22, 4828])).
% 8.46/5.90 tff(4843,plain,
% 8.46/5.90 (~m_main_v_state(s53, c_busy)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4528, 170, 4842])).
% 8.46/5.90 tff(4844,plain,
% 8.46/5.90 (((~![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))),
% 8.46/5.90 inference(rewrite,[status(thm)],[])).
% 8.46/5.90 tff(4845,plain,
% 8.46/5.90 ((~![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))),
% 8.46/5.90 inference(quant_inst,[status(thm)],[])).
% 8.46/5.90 tff(4846,plain,
% 8.46/5.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s53, c_busy) | m_main_v_state(s53, c_ready)),
% 8.46/5.90 inference(modus_ponens,[status(thm)],[4845, 4844])).
% 8.46/5.90 tff(4847,plain,
% 8.46/5.90 ($false),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4846, 213, 4843, 4841])).
% 8.46/5.90 tff(4848,plain,((~until5(s53)) | xuntil6(s54) | m_main_v_state(s55, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.46/5.90 tff(4849,plain,
% 8.46/5.90 (m_main_v_state(s55, c_busy)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4848, 4788, 4589])).
% 8.46/5.90 tff(4850,plain,
% 8.46/5.90 ($false),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4780, 170, 4739, 4849])).
% 8.46/5.90 tff(4851,plain,(xuntil6(s55) | (~until5(s53))), inference(lemma,lemma(discharge,[]))).
% 8.46/5.90 tff(4852,plain,
% 8.46/5.90 (xuntil6(s55)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4851, 4588])).
% 8.46/5.90 tff(4853,plain,
% 8.46/5.90 (((~![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))),
% 8.46/5.90 inference(rewrite,[status(thm)],[])).
% 8.46/5.90 tff(4854,plain,
% 8.46/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s55, s56)) | (~xuntil6(s55)) | until5(s56))),
% 8.46/5.90 inference(quant_inst,[status(thm)],[])).
% 8.46/5.90 tff(4855,plain,
% 8.46/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s55, s56)) | (~xuntil6(s55)) | until5(s56)),
% 8.46/5.90 inference(modus_ponens,[status(thm)],[4854, 4853])).
% 8.46/5.90 tff(4856,plain,
% 8.46/5.90 ((~xuntil6(s55)) | until5(s56)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4855, 4742, 141])).
% 8.46/5.90 tff(4857,plain,
% 8.46/5.90 (until5(s56)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4856, 4852])).
% 8.46/5.90 tff(4858,assumption,(~xuntil6(s57)), introduced(assumption)).
% 8.46/5.90 tff(4859,assumption,(~always3(s57)), introduced(assumption)).
% 8.46/5.90 tff(4860,plain,
% 8.46/5.90 (succ(s56, s57) <=> succ(s56, s57)),
% 8.46/5.90 inference(rewrite,[status(thm)],[])).
% 8.46/5.90 tff(4861,axiom,(succ(s56, s57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound57')).
% 8.46/5.90 tff(4862,plain,
% 8.46/5.90 (succ(s56, s57)),
% 8.46/5.90 inference(modus_ponens,[status(thm)],[4861, 4860])).
% 8.46/5.90 tff(4863,plain,
% 8.46/5.90 (((~![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))),
% 8.46/5.90 inference(rewrite,[status(thm)],[])).
% 8.46/5.90 tff(4864,plain,
% 8.46/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s56, s57)) | trans(s56, s57))),
% 8.46/5.90 inference(quant_inst,[status(thm)],[])).
% 8.46/5.90 tff(4865,plain,
% 8.46/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s56, s57)) | trans(s56, s57)),
% 8.46/5.90 inference(modus_ponens,[status(thm)],[4864, 4863])).
% 8.46/5.90 tff(4866,plain,
% 8.46/5.90 (trans(s56, s57)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4865, 4862, 51])).
% 8.46/5.90 tff(4867,plain,
% 8.46/5.90 (((~![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))),
% 8.46/5.90 inference(rewrite,[status(thm)],[])).
% 8.46/5.90 tff(4868,plain,
% 8.46/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s56, s57)) | (~always3(s56)) | always3(s57))),
% 8.46/5.90 inference(quant_inst,[status(thm)],[])).
% 8.46/5.90 tff(4869,plain,
% 8.46/5.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s56, s57)) | (~always3(s56)) | always3(s57)),
% 8.46/5.90 inference(modus_ponens,[status(thm)],[4868, 4867])).
% 8.46/5.90 tff(4870,plain,
% 8.46/5.90 ((~always3(s56)) | always3(s57)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4869, 68, 4866])).
% 8.46/5.90 tff(4871,plain,
% 8.46/5.90 (~always3(s56)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4870, 4859])).
% 8.46/5.90 tff(4872,plain,
% 8.46/5.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s56) | (~node4(s56)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s56) | (~node4(s56)))),
% 8.46/5.90 inference(rewrite,[status(thm)],[])).
% 8.46/5.90 tff(4873,plain,
% 8.46/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s56) | (~node4(s56)))),
% 8.46/5.90 inference(quant_inst,[status(thm)],[])).
% 8.46/5.90 tff(4874,plain,
% 8.46/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s56) | (~node4(s56))),
% 8.46/5.90 inference(modus_ponens,[status(thm)],[4873, 4872])).
% 8.46/5.90 tff(4875,plain,
% 8.46/5.90 (~node4(s56)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4874, 22, 4871])).
% 8.46/5.90 tff(4876,plain,
% 8.46/5.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s57) | (~node4(s57)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s57) | (~node4(s57)))),
% 8.46/5.90 inference(rewrite,[status(thm)],[])).
% 8.46/5.90 tff(4877,plain,
% 8.46/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s57) | (~node4(s57)))),
% 8.46/5.90 inference(quant_inst,[status(thm)],[])).
% 8.46/5.90 tff(4878,plain,
% 8.46/5.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s57) | (~node4(s57))),
% 8.46/5.90 inference(modus_ponens,[status(thm)],[4877, 4876])).
% 8.46/5.90 tff(4879,plain,
% 8.46/5.90 (~node4(s57)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4878, 22, 4859])).
% 8.46/5.90 tff(4880,plain,
% 8.46/5.90 (((~![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)))),
% 8.46/5.90 inference(rewrite,[status(thm)],[])).
% 8.46/5.90 tff(4881,plain,
% 8.46/5.90 ((node4(s57) | (~until5(s57)) | xuntil6(s57)) <=> (xuntil6(s57) | node4(s57) | (~until5(s57)))),
% 8.46/5.90 inference(rewrite,[status(thm)],[])).
% 8.46/5.90 tff(4882,plain,
% 8.46/5.90 (((~![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))))),
% 8.46/5.90 inference(monotonicity,[status(thm)],[4881])).
% 8.46/5.90 tff(4883,plain,
% 8.46/5.90 (((~![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)))),
% 8.46/5.90 inference(transitivity,[status(thm)],[4882, 4880])).
% 8.46/5.90 tff(4884,plain,
% 8.46/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s57) | (~until5(s57)) | xuntil6(s57))),
% 8.46/5.90 inference(quant_inst,[status(thm)],[])).
% 8.46/5.90 tff(4885,plain,
% 8.46/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s57) | node4(s57) | (~until5(s57))),
% 8.46/5.90 inference(modus_ponens,[status(thm)],[4884, 4883])).
% 8.46/5.90 tff(4886,plain,
% 8.46/5.90 (node4(s57) | (~until5(s57))),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4885, 36, 4858])).
% 8.46/5.90 tff(4887,plain,
% 8.46/5.90 (~until5(s57)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4886, 4879])).
% 8.46/5.90 tff(4888,plain,
% 8.46/5.90 (((~![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))),
% 8.46/5.90 inference(rewrite,[status(thm)],[])).
% 8.46/5.90 tff(4889,plain,
% 8.46/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s56, s57)) | (~xuntil6(s56)) | until5(s57))),
% 8.46/5.90 inference(quant_inst,[status(thm)],[])).
% 8.46/5.90 tff(4890,plain,
% 8.46/5.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s56, s57)) | (~xuntil6(s56)) | until5(s57)),
% 8.46/5.90 inference(modus_ponens,[status(thm)],[4889, 4888])).
% 8.46/5.90 tff(4891,plain,
% 8.46/5.90 ((~xuntil6(s56)) | until5(s57)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4890, 4862, 141])).
% 8.46/5.90 tff(4892,plain,
% 8.46/5.90 (~xuntil6(s56)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4891, 4887])).
% 8.46/5.90 tff(4893,plain,
% 8.46/5.90 (((~![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)))),
% 8.46/5.90 inference(rewrite,[status(thm)],[])).
% 8.46/5.90 tff(4894,plain,
% 8.46/5.90 ((node4(s56) | (~until5(s56)) | xuntil6(s56)) <=> (xuntil6(s56) | node4(s56) | (~until5(s56)))),
% 8.46/5.90 inference(rewrite,[status(thm)],[])).
% 8.46/5.90 tff(4895,plain,
% 8.46/5.90 (((~![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))))),
% 8.46/5.90 inference(monotonicity,[status(thm)],[4894])).
% 8.46/5.90 tff(4896,plain,
% 8.46/5.90 (((~![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)))),
% 8.46/5.90 inference(transitivity,[status(thm)],[4895, 4893])).
% 8.46/5.90 tff(4897,plain,
% 8.46/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s56) | (~until5(s56)) | xuntil6(s56))),
% 8.46/5.90 inference(quant_inst,[status(thm)],[])).
% 8.46/5.90 tff(4898,plain,
% 8.46/5.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s56) | node4(s56) | (~until5(s56))),
% 8.46/5.90 inference(modus_ponens,[status(thm)],[4897, 4896])).
% 8.46/5.90 tff(4899,plain,
% 8.46/5.90 (~until5(s56)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4898, 36, 4892, 4875])).
% 8.46/5.90 tff(4900,plain,
% 8.46/5.90 (~xuntil6(s55)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4856, 4899])).
% 8.46/5.90 tff(4901,plain,
% 8.46/5.90 (~always3(s55)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4750, 4871])).
% 8.46/5.90 tff(4902,plain,
% 8.46/5.90 (~node4(s55)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4610, 22, 4901])).
% 8.46/5.90 tff(4903,plain,
% 8.46/5.90 (xuntil6(s55) | (~until5(s55))),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4617, 36, 4902])).
% 8.46/5.90 tff(4904,plain,
% 8.46/5.90 (~until5(s55)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4903, 4900])).
% 8.46/5.90 tff(4905,plain,
% 8.46/5.90 (~xuntil6(s54)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4623, 4904])).
% 8.46/5.90 tff(4906,plain,
% 8.46/5.90 (~always3(s54)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4602, 4901])).
% 8.46/5.90 tff(4907,plain,
% 8.46/5.90 (~node4(s54)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4606, 22, 4906])).
% 8.46/5.90 tff(4908,plain,
% 8.46/5.90 (xuntil6(s54) | (~until5(s54))),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4630, 36, 4907])).
% 8.46/5.90 tff(4909,plain,
% 8.46/5.90 (~until5(s54)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4908, 4905])).
% 8.46/5.90 tff(4910,plain,
% 8.46/5.90 (~xuntil6(s53)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4638, 4909])).
% 8.46/5.90 tff(4911,plain,
% 8.46/5.90 (~always3(s53)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4647, 4906])).
% 8.46/5.90 tff(4912,plain,
% 8.46/5.90 (~node4(s53)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4651, 22, 4911])).
% 8.46/5.90 tff(4913,plain,
% 8.46/5.90 (xuntil6(s53) | (~until5(s53))),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4658, 36, 4912])).
% 8.46/5.90 tff(4914,plain,
% 8.46/5.90 (~until5(s53)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4913, 4910])).
% 8.46/5.90 tff(4915,plain,
% 8.46/5.90 (~xuntil6(s52)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4587, 4914])).
% 8.46/5.90 tff(4916,plain,
% 8.46/5.90 (~always3(s52)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4521, 4911])).
% 8.46/5.90 tff(4917,plain,
% 8.46/5.90 (~node4(s52)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4420, 22, 4916])).
% 8.46/5.90 tff(4918,plain,
% 8.46/5.90 (xuntil6(s52) | (~until5(s52))),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4427, 36, 4917])).
% 8.46/5.90 tff(4919,plain,
% 8.46/5.90 (~until5(s52)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4918, 4915])).
% 8.46/5.90 tff(4920,plain,
% 8.46/5.90 (~xuntil6(s51)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4433, 4919])).
% 8.46/5.90 tff(4921,plain,
% 8.46/5.90 (~always3(s51)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4412, 4916])).
% 8.46/5.90 tff(4922,plain,
% 8.46/5.90 (~node4(s51)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4416, 22, 4921])).
% 8.46/5.90 tff(4923,plain,
% 8.46/5.90 (xuntil6(s51) | (~until5(s51))),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4440, 36, 4922])).
% 8.46/5.90 tff(4924,plain,
% 8.46/5.90 (~until5(s51)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4923, 4920])).
% 8.46/5.90 tff(4925,plain,
% 8.46/5.90 (~xuntil6(s50)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4398, 4924])).
% 8.46/5.90 tff(4926,plain,
% 8.46/5.90 (~always3(s50)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4363, 4921])).
% 8.46/5.90 tff(4927,plain,
% 8.46/5.90 (~node4(s50)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4351, 22, 4926])).
% 8.46/5.90 tff(4928,plain,
% 8.46/5.90 (xuntil6(s50) | (~until5(s50))),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4392, 36, 4927])).
% 8.46/5.90 tff(4929,plain,
% 8.46/5.90 (~until5(s50)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4928, 4925])).
% 8.46/5.90 tff(4930,plain,
% 8.46/5.90 (~xuntil6(s49)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4342, 4929])).
% 8.46/5.90 tff(4931,plain,
% 8.46/5.90 (~always3(s49)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3944, 4926])).
% 8.46/5.90 tff(4932,plain,
% 8.46/5.90 (~node4(s49)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3762, 22, 4931])).
% 8.46/5.90 tff(4933,plain,
% 8.46/5.90 (xuntil6(s49) | (~until5(s49))),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3769, 36, 4932])).
% 8.46/5.90 tff(4934,plain,
% 8.46/5.90 (~until5(s49)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4933, 4930])).
% 8.46/5.90 tff(4935,plain,
% 8.46/5.90 (~xuntil6(s48)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3775, 4934])).
% 8.46/5.90 tff(4936,plain,
% 8.46/5.90 (~always3(s48)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3754, 4931])).
% 8.46/5.90 tff(4937,plain,
% 8.46/5.90 (~node4(s48)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3758, 22, 4936])).
% 8.46/5.90 tff(4938,plain,
% 8.46/5.90 (xuntil6(s48) | (~until5(s48))),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3782, 36, 4937])).
% 8.46/5.90 tff(4939,plain,
% 8.46/5.90 (~until5(s48)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4938, 4935])).
% 8.46/5.90 tff(4940,plain,
% 8.46/5.90 (~always3(s47)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3799, 4936])).
% 8.46/5.90 tff(4941,plain,
% 8.46/5.90 (~always3(s46)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3828, 4940])).
% 8.46/5.90 tff(4942,plain,
% 8.46/5.90 (~always3(s45)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3857, 4941])).
% 8.46/5.90 tff(4943,plain,
% 8.46/5.90 (~always3(s44)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3886, 4942])).
% 8.46/5.90 tff(4944,plain,
% 8.46/5.90 (~always3(s43)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3705, 4943])).
% 8.46/5.90 tff(4945,plain,
% 8.46/5.90 (~always3(s42)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3618, 4944])).
% 8.46/5.90 tff(4946,plain,
% 8.46/5.90 (~always3(s41)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3559, 4945])).
% 8.46/5.90 tff(4947,plain,
% 8.46/5.90 (~always3(s40)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3474, 4946])).
% 8.46/5.90 tff(4948,plain,
% 8.46/5.90 (~always3(s39)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3424, 4947])).
% 8.46/5.90 tff(4949,plain,
% 8.46/5.90 (~node4(s39)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3428, 22, 4948])).
% 8.46/5.90 tff(4950,plain,
% 8.46/5.90 (~always3(s38)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3233, 4948])).
% 8.46/5.90 tff(4951,plain,
% 8.46/5.90 (~node4(s38)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3219, 22, 4950])).
% 8.46/5.90 tff(4952,plain,
% 8.46/5.90 (~always3(s37)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[2932, 4950])).
% 8.46/5.90 tff(4953,plain,
% 8.46/5.90 (xuntil6(s37)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3202, 4952])).
% 8.46/5.90 tff(4954,plain,
% 8.46/5.90 (until5(s38)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3207, 4953])).
% 8.46/5.90 tff(4955,plain,
% 8.46/5.90 (xuntil6(s38) | node4(s38)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3214, 36, 4954])).
% 8.46/5.90 tff(4956,plain,
% 8.46/5.90 (xuntil6(s38)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4955, 4951])).
% 8.46/5.90 tff(4957,plain,
% 8.46/5.90 (until5(s39)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3410, 4956])).
% 8.46/5.90 tff(4958,plain,
% 8.46/5.90 (xuntil6(s39)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3460, 36, 4957, 4949])).
% 8.46/5.90 tff(4959,plain,
% 8.46/5.90 (until5(s40)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3445, 4958])).
% 8.46/5.90 tff(4960,plain,
% 8.46/5.90 (~node4(s40)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3432, 22, 4947])).
% 8.46/5.90 tff(4961,plain,
% 8.46/5.90 (xuntil6(s40) | (~until5(s40))),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3439, 36, 4960])).
% 8.46/5.90 tff(4962,plain,
% 8.46/5.90 (xuntil6(s40)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4961, 4959])).
% 8.46/5.90 tff(4963,plain,
% 8.46/5.90 (until5(s41)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3545, 4962])).
% 8.46/5.90 tff(4964,plain,
% 8.46/5.90 (~node4(s41)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3563, 22, 4946])).
% 8.46/5.90 tff(4965,plain,
% 8.46/5.90 (xuntil6(s41) | (~until5(s41))),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3587, 36, 4964])).
% 8.46/5.90 tff(4966,plain,
% 8.46/5.90 (xuntil6(s41)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4965, 4963])).
% 8.46/5.90 tff(4967,plain,
% 8.46/5.90 (until5(s42)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3580, 4966])).
% 8.46/5.90 tff(4968,plain,
% 8.46/5.90 (~node4(s42)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3567, 22, 4945])).
% 8.46/5.90 tff(4969,plain,
% 8.46/5.90 (xuntil6(s42) | (~until5(s42))),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[3574, 36, 4968])).
% 8.46/5.90 tff(4970,plain,
% 8.46/5.90 (xuntil6(s42)),
% 8.46/5.90 inference(unit_resolution,[status(thm)],[4969, 4967])).
% 8.46/5.91 tff(4971,plain,
% 8.46/5.91 (until5(s43)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[3684, 4970])).
% 8.46/5.91 tff(4972,plain,
% 8.46/5.91 (~node4(s43)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[3693, 22, 4944])).
% 8.46/5.91 tff(4973,plain,
% 8.46/5.91 (xuntil6(s43) | (~until5(s43))),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[3734, 36, 4972])).
% 8.46/5.91 tff(4974,plain,
% 8.46/5.91 (xuntil6(s43)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[4973, 4971])).
% 8.46/5.91 tff(4975,plain,
% 8.46/5.91 (until5(s44)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[3740, 4974])).
% 8.46/5.91 tff(4976,plain,
% 8.46/5.91 (~node4(s44)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[3890, 22, 4943])).
% 8.46/5.91 tff(4977,plain,
% 8.46/5.91 (xuntil6(s44) | (~until5(s44))),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[3897, 36, 4976])).
% 8.46/5.91 tff(4978,plain,
% 8.46/5.91 (xuntil6(s44)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[4977, 4975])).
% 8.46/5.91 tff(4979,plain,
% 8.46/5.91 (until5(s45)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[3877, 4978])).
% 8.46/5.91 tff(4980,plain,
% 8.46/5.91 (~node4(s45)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[3861, 22, 4942])).
% 8.46/5.91 tff(4981,plain,
% 8.46/5.91 (xuntil6(s45) | (~until5(s45))),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[3868, 36, 4980])).
% 8.46/5.91 tff(4982,plain,
% 8.46/5.91 (xuntil6(s45)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[4981, 4979])).
% 8.46/5.91 tff(4983,plain,
% 8.46/5.91 (until5(s46)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[3848, 4982])).
% 8.46/5.91 tff(4984,plain,
% 8.46/5.91 (~node4(s46)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[3832, 22, 4941])).
% 8.46/5.91 tff(4985,plain,
% 8.46/5.91 (xuntil6(s46) | (~until5(s46))),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[3839, 36, 4984])).
% 8.46/5.91 tff(4986,plain,
% 8.46/5.91 (xuntil6(s46)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[4985, 4983])).
% 8.46/5.91 tff(4987,plain,
% 8.46/5.91 (until5(s47)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[3819, 4986])).
% 8.46/5.91 tff(4988,plain,
% 8.46/5.91 (~node4(s47)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[3803, 22, 4940])).
% 8.46/5.91 tff(4989,plain,
% 8.46/5.91 (xuntil6(s47) | (~until5(s47))),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[3810, 36, 4988])).
% 8.46/5.91 tff(4990,plain,
% 8.46/5.91 (xuntil6(s47)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[4989, 4987])).
% 8.46/5.91 tff(4991,plain,
% 8.46/5.91 ($false),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[3790, 4990, 4939])).
% 8.46/5.91 tff(4992,plain,(always3(s57) | xuntil6(s57)), inference(lemma,lemma(discharge,[]))).
% 8.46/5.91 tff(4993,plain,
% 8.46/5.91 (always3(s57)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[4992, 4858])).
% 8.46/5.91 tff(4994,plain,
% 8.46/5.91 (succ(s57, s58) <=> succ(s57, s58)),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(4995,axiom,(succ(s57, s58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound58')).
% 8.46/5.91 tff(4996,plain,
% 8.46/5.91 (succ(s57, s58)),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[4995, 4994])).
% 8.46/5.91 tff(4997,plain,
% 8.46/5.91 (((~![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))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(4998,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s57, s58)) | trans(s57, s58))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(4999,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s57, s58)) | trans(s57, s58)),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[4998, 4997])).
% 8.46/5.91 tff(5000,plain,
% 8.46/5.91 (trans(s57, s58)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[4999, 4996, 51])).
% 8.46/5.91 tff(5001,plain,
% 8.46/5.91 (((~![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))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5002,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s57, s58)) | (~always3(s57)) | always3(s58))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5003,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s57, s58)) | (~always3(s57)) | always3(s58)),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5002, 5001])).
% 8.46/5.91 tff(5004,plain,
% 8.46/5.91 ((~always3(s57)) | always3(s58)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5003, 68, 5000])).
% 8.46/5.91 tff(5005,plain,
% 8.46/5.91 (always3(s58)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5004, 4993])).
% 8.46/5.91 tff(5006,plain,
% 8.46/5.91 (((~![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)))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5007,plain,
% 8.46/5.91 (((~m_main_v_state(s58, c_busy)) | (~always3(s58))) <=> ((~always3(s58)) | (~m_main_v_state(s58, c_busy)))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5008,plain,
% 8.46/5.91 (((~![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))))),
% 8.46/5.91 inference(monotonicity,[status(thm)],[5007])).
% 8.46/5.91 tff(5009,plain,
% 8.46/5.91 (((~![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)))),
% 8.46/5.91 inference(transitivity,[status(thm)],[5008, 5006])).
% 8.46/5.91 tff(5010,plain,
% 8.46/5.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s58, c_busy)) | (~always3(s58)))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5011,plain,
% 8.46/5.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s58)) | (~m_main_v_state(s58, c_busy))),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5010, 5009])).
% 8.46/5.91 tff(5012,plain,
% 8.46/5.91 (~m_main_v_state(s58, c_busy)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5011, 170, 5005])).
% 8.46/5.91 tff(5013,plain,
% 8.46/5.91 (((~![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)))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5014,plain,
% 8.46/5.91 (((~m_main_v_state(s57, c_busy)) | (~always3(s57))) <=> ((~always3(s57)) | (~m_main_v_state(s57, c_busy)))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5015,plain,
% 8.46/5.91 (((~![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))))),
% 8.46/5.91 inference(monotonicity,[status(thm)],[5014])).
% 8.46/5.91 tff(5016,plain,
% 8.46/5.91 (((~![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)))),
% 8.46/5.91 inference(transitivity,[status(thm)],[5015, 5013])).
% 8.46/5.91 tff(5017,plain,
% 8.46/5.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s57, c_busy)) | (~always3(s57)))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5018,plain,
% 8.46/5.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s57)) | (~m_main_v_state(s57, c_busy))),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5017, 5016])).
% 8.46/5.91 tff(5019,plain,
% 8.46/5.91 (~m_main_v_state(s57, c_busy)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5018, 170, 4993])).
% 8.46/5.91 tff(5020,plain,
% 8.46/5.91 (((~![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))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5021,plain,
% 8.46/5.91 ((~![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))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5022,plain,
% 8.46/5.91 ((~![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)),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5021, 5020])).
% 8.46/5.91 tff(5023,plain,
% 8.46/5.91 (m_main_v_state(s57, c_ready)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5022, 213, 5019])).
% 8.46/5.91 tff(5024,assumption,(~m_main_v_state(s57, c_busy)), introduced(assumption)).
% 8.46/5.91 tff(5025,assumption,(node4(s56)), introduced(assumption)).
% 8.46/5.91 tff(5026,plain,
% 8.46/5.91 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s56) | (~node4(s56)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s56) | (~node4(s56)))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5027,plain,
% 8.46/5.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s56) | (~node4(s56)))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5028,plain,
% 8.46/5.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s56) | (~node4(s56))),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5027, 5026])).
% 8.46/5.91 tff(5029,plain,
% 8.46/5.91 (m_main_v_request(s56)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5028, 154, 5025])).
% 8.46/5.91 tff(5030,plain,
% 8.46/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s56, s57)) | node2(s56, s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s56, s57)) | node2(s56, s57))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5031,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s56, s57)) | node2(s56, s57))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5032,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s56, s57)) | node2(s56, s57)),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5031, 5030])).
% 8.46/5.91 tff(5033,plain,
% 8.46/5.91 (node2(s56, s57)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5032, 7, 4866])).
% 8.46/5.91 tff(5034,plain,
% 8.46/5.91 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s56, c_ready)) | (~node2(s56, s57)) | m_main_v_state(s57, c_busy) | (~m_main_v_request(s56)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s56, c_ready)) | (~node2(s56, s57)) | m_main_v_state(s57, c_busy) | (~m_main_v_request(s56)))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5035,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s56, c_ready)) | (~node2(s56, s57)) | m_main_v_state(s57, c_busy) | (~m_main_v_request(s56)))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5036,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s56, c_ready)) | (~node2(s56, s57)) | m_main_v_state(s57, c_busy) | (~m_main_v_request(s56))),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5035, 5034])).
% 8.46/5.91 tff(5037,plain,
% 8.46/5.91 ((~m_main_v_state(s56, c_ready)) | m_main_v_state(s57, c_busy) | (~m_main_v_request(s56))),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5036, 191, 5033])).
% 8.46/5.91 tff(5038,plain,
% 8.46/5.91 (~m_main_v_state(s56, c_ready)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5037, 5029, 5024])).
% 8.46/5.91 tff(5039,plain,
% 8.46/5.91 (always3(s56)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[4874, 22, 5025])).
% 8.46/5.91 tff(5040,plain,
% 8.46/5.91 (~m_main_v_state(s56, c_busy)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[4757, 170, 5039])).
% 8.46/5.91 tff(5041,plain,
% 8.46/5.91 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s56, c_busy) | m_main_v_state(s56, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s56, c_busy) | m_main_v_state(s56, c_ready))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5042,plain,
% 8.46/5.91 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s56, c_busy) | m_main_v_state(s56, c_ready))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5043,plain,
% 8.46/5.91 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s56, c_busy) | m_main_v_state(s56, c_ready)),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5042, 5041])).
% 8.46/5.91 tff(5044,plain,
% 8.46/5.91 ($false),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5043, 213, 5040, 5038])).
% 8.46/5.91 tff(5045,plain,((~node4(s56)) | m_main_v_state(s57, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.46/5.91 tff(5046,plain,
% 8.46/5.91 (~node4(s56)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5045, 5019])).
% 8.46/5.91 tff(5047,assumption,(until5(s56)), introduced(assumption)).
% 8.46/5.91 tff(5048,plain,
% 8.46/5.91 (xuntil6(s56) | node4(s56)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[4898, 36, 5047])).
% 8.46/5.91 tff(5049,plain,
% 8.46/5.91 (xuntil6(s56)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5048, 5046])).
% 8.46/5.91 tff(5050,plain,
% 8.46/5.91 (until5(s57)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[4891, 5049])).
% 8.46/5.91 tff(5051,plain,
% 8.46/5.91 (node4(s57)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[4886, 5050])).
% 8.46/5.91 tff(5052,plain,
% 8.46/5.91 (((~![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)))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5053,plain,
% 8.46/5.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s57) | (~node4(s57)))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5054,plain,
% 8.46/5.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s57) | (~node4(s57))),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5053, 5052])).
% 8.46/5.91 tff(5055,plain,
% 8.46/5.91 (m_main_v_request(s57)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5054, 154, 5051])).
% 8.46/5.91 tff(5056,plain,
% 8.46/5.91 (((~![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))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5057,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s57, s58)) | node2(s57, s58))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5058,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s57, s58)) | node2(s57, s58)),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5057, 5056])).
% 8.46/5.91 tff(5059,plain,
% 8.46/5.91 (node2(s57, s58)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5058, 7, 5000])).
% 8.46/5.91 tff(5060,plain,
% 8.46/5.91 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5061,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5062,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s57, c_ready)) | (~node2(s57, s58)) | m_main_v_state(s58, c_busy) | (~m_main_v_request(s57))),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5061, 5060])).
% 8.46/5.91 tff(5063,plain,
% 8.46/5.91 ((~m_main_v_state(s57, c_ready)) | m_main_v_state(s58, c_busy) | (~m_main_v_request(s57))),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5062, 191, 5059])).
% 8.46/5.91 tff(5064,plain,
% 8.46/5.91 ($false),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5063, 5055, 5023, 5012])).
% 8.46/5.91 tff(5065,plain,(xuntil6(s57) | (~until5(s56))), inference(lemma,lemma(discharge,[]))).
% 8.46/5.91 tff(5066,plain,
% 8.46/5.91 (xuntil6(s57)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5065, 4857])).
% 8.46/5.91 tff(5067,plain,
% 8.46/5.91 (((~![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))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5068,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s57, s58)) | (~xuntil6(s57)) | until5(s58))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5069,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s57, s58)) | (~xuntil6(s57)) | until5(s58)),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5068, 5067])).
% 8.46/5.91 tff(5070,plain,
% 8.46/5.91 ((~xuntil6(s57)) | until5(s58)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5069, 4996, 141])).
% 8.46/5.91 tff(5071,plain,
% 8.46/5.91 (until5(s58)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5070, 5066])).
% 8.46/5.91 tff(5072,assumption,(~xuntil6(s327)), introduced(assumption)).
% 8.46/5.91 tff(5073,assumption,(node4(s253)), introduced(assumption)).
% 8.46/5.91 tff(5074,plain,
% 8.46/5.91 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s253) | (~node4(s253)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s253) | (~node4(s253)))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5075,plain,
% 8.46/5.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s253) | (~node4(s253)))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5076,plain,
% 8.46/5.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s253) | (~node4(s253))),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5075, 5074])).
% 8.46/5.91 tff(5077,plain,
% 8.46/5.91 (m_main_v_request(s253)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5076, 154, 5073])).
% 8.46/5.91 tff(5078,plain,
% 8.46/5.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s253) | (~node4(s253)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s253) | (~node4(s253)))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5079,plain,
% 8.46/5.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s253) | (~node4(s253)))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5080,plain,
% 8.46/5.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s253) | (~node4(s253))),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5079, 5078])).
% 8.46/5.91 tff(5081,plain,
% 8.46/5.91 (always3(s253)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5080, 22, 5073])).
% 8.46/5.91 tff(5082,plain,
% 8.46/5.91 (succ(s253, s254) <=> succ(s253, s254)),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5083,axiom,(succ(s253, s254)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound254')).
% 8.46/5.91 tff(5084,plain,
% 8.46/5.91 (succ(s253, s254)),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5083, 5082])).
% 8.46/5.91 tff(5085,plain,
% 8.46/5.91 (((~![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))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5086,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s253, s254)) | trans(s253, s254))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5087,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s253, s254)) | trans(s253, s254)),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5086, 5085])).
% 8.46/5.91 tff(5088,plain,
% 8.46/5.91 (trans(s253, s254)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5087, 5084, 51])).
% 8.46/5.91 tff(5089,plain,
% 8.46/5.91 (((~![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))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5090,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s253, s254)) | (~always3(s253)) | always3(s254))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5091,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s253, s254)) | (~always3(s253)) | always3(s254)),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5090, 5089])).
% 8.46/5.91 tff(5092,plain,
% 8.46/5.91 ((~always3(s253)) | always3(s254)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5091, 68, 5088])).
% 8.46/5.91 tff(5093,plain,
% 8.46/5.91 (always3(s254)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5092, 5081])).
% 8.46/5.91 tff(5094,plain,
% 8.46/5.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s254)) | (~m_main_v_state(s254, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s254)) | (~m_main_v_state(s254, c_busy)))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5095,plain,
% 8.46/5.91 (((~m_main_v_state(s254, c_busy)) | (~always3(s254))) <=> ((~always3(s254)) | (~m_main_v_state(s254, c_busy)))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5096,plain,
% 8.46/5.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s254, c_busy)) | (~always3(s254)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s254)) | (~m_main_v_state(s254, c_busy))))),
% 8.46/5.91 inference(monotonicity,[status(thm)],[5095])).
% 8.46/5.91 tff(5097,plain,
% 8.46/5.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s254, c_busy)) | (~always3(s254)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s254)) | (~m_main_v_state(s254, c_busy)))),
% 8.46/5.91 inference(transitivity,[status(thm)],[5096, 5094])).
% 8.46/5.91 tff(5098,plain,
% 8.46/5.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s254, c_busy)) | (~always3(s254)))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5099,plain,
% 8.46/5.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s254)) | (~m_main_v_state(s254, c_busy))),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5098, 5097])).
% 8.46/5.91 tff(5100,plain,
% 8.46/5.91 (~m_main_v_state(s254, c_busy)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5099, 170, 5093])).
% 8.46/5.91 tff(5101,plain,
% 8.46/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s253, s254)) | node2(s253, s254))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s253, s254)) | node2(s253, s254))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5102,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s253, s254)) | node2(s253, s254))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5103,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s253, s254)) | node2(s253, s254)),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5102, 5101])).
% 8.46/5.91 tff(5104,plain,
% 8.46/5.91 (node2(s253, s254)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5103, 7, 5088])).
% 8.46/5.91 tff(5105,plain,
% 8.46/5.91 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s253, c_ready)) | (~node2(s253, s254)) | m_main_v_state(s254, c_busy) | (~m_main_v_request(s253)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s253, c_ready)) | (~node2(s253, s254)) | m_main_v_state(s254, c_busy) | (~m_main_v_request(s253)))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5106,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s253, c_ready)) | (~node2(s253, s254)) | m_main_v_state(s254, c_busy) | (~m_main_v_request(s253)))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5107,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s253, c_ready)) | (~node2(s253, s254)) | m_main_v_state(s254, c_busy) | (~m_main_v_request(s253))),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5106, 5105])).
% 8.46/5.91 tff(5108,plain,
% 8.46/5.91 ((~m_main_v_state(s253, c_ready)) | m_main_v_state(s254, c_busy) | (~m_main_v_request(s253))),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5107, 191, 5104])).
% 8.46/5.91 tff(5109,plain,
% 8.46/5.91 (~m_main_v_state(s253, c_ready)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5108, 5100, 5077])).
% 8.46/5.91 tff(5110,plain,
% 8.46/5.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s253)) | (~m_main_v_state(s253, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s253)) | (~m_main_v_state(s253, c_busy)))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5111,plain,
% 8.46/5.91 (((~m_main_v_state(s253, c_busy)) | (~always3(s253))) <=> ((~always3(s253)) | (~m_main_v_state(s253, c_busy)))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5112,plain,
% 8.46/5.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s253, c_busy)) | (~always3(s253)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s253)) | (~m_main_v_state(s253, c_busy))))),
% 8.46/5.91 inference(monotonicity,[status(thm)],[5111])).
% 8.46/5.91 tff(5113,plain,
% 8.46/5.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s253, c_busy)) | (~always3(s253)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s253)) | (~m_main_v_state(s253, c_busy)))),
% 8.46/5.91 inference(transitivity,[status(thm)],[5112, 5110])).
% 8.46/5.91 tff(5114,plain,
% 8.46/5.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s253, c_busy)) | (~always3(s253)))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5115,plain,
% 8.46/5.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s253)) | (~m_main_v_state(s253, c_busy))),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5114, 5113])).
% 8.46/5.91 tff(5116,plain,
% 8.46/5.91 (~m_main_v_state(s253, c_busy)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5115, 170, 5081])).
% 8.46/5.91 tff(5117,plain,
% 8.46/5.91 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s253, c_busy) | m_main_v_state(s253, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s253, c_busy) | m_main_v_state(s253, c_ready))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5118,plain,
% 8.46/5.91 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s253, c_busy) | m_main_v_state(s253, c_ready))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5119,plain,
% 8.46/5.91 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s253, c_busy) | m_main_v_state(s253, c_ready)),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5118, 5117])).
% 8.46/5.91 tff(5120,plain,
% 8.46/5.91 ($false),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5119, 213, 5116, 5109])).
% 8.46/5.91 tff(5121,plain,(~node4(s253)), inference(lemma,lemma(discharge,[]))).
% 8.46/5.91 tff(5122,assumption,(~always3(s316)), introduced(assumption)).
% 8.46/5.91 tff(5123,plain,
% 8.46/5.91 (succ(s315, s316) <=> succ(s315, s316)),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5124,axiom,(succ(s315, s316)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound316')).
% 8.46/5.91 tff(5125,plain,
% 8.46/5.91 (succ(s315, s316)),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5124, 5123])).
% 8.46/5.91 tff(5126,plain,
% 8.46/5.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s315, s316)) | trans(s315, s316))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s315, s316)) | trans(s315, s316))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5127,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s315, s316)) | trans(s315, s316))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5128,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s315, s316)) | trans(s315, s316)),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5127, 5126])).
% 8.46/5.91 tff(5129,plain,
% 8.46/5.91 (trans(s315, s316)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5128, 5125, 51])).
% 8.46/5.91 tff(5130,plain,
% 8.46/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s315, s316)) | (~always3(s315)) | always3(s316))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s315, s316)) | (~always3(s315)) | always3(s316))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5131,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s315, s316)) | (~always3(s315)) | always3(s316))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5132,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s315, s316)) | (~always3(s315)) | always3(s316)),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5131, 5130])).
% 8.46/5.91 tff(5133,plain,
% 8.46/5.91 ((~always3(s315)) | always3(s316)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5132, 68, 5129])).
% 8.46/5.91 tff(5134,plain,
% 8.46/5.91 (~always3(s315)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5133, 5122])).
% 8.46/5.91 tff(5135,plain,
% 8.46/5.91 (succ(s314, s315) <=> succ(s314, s315)),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5136,axiom,(succ(s314, s315)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound315')).
% 8.46/5.91 tff(5137,plain,
% 8.46/5.91 (succ(s314, s315)),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5136, 5135])).
% 8.46/5.91 tff(5138,plain,
% 8.46/5.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s314, s315)) | trans(s314, s315))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s314, s315)) | trans(s314, s315))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5139,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s314, s315)) | trans(s314, s315))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5140,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s314, s315)) | trans(s314, s315)),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5139, 5138])).
% 8.46/5.91 tff(5141,plain,
% 8.46/5.91 (trans(s314, s315)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5140, 5137, 51])).
% 8.46/5.91 tff(5142,plain,
% 8.46/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s314, s315)) | (~always3(s314)) | always3(s315))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s314, s315)) | (~always3(s314)) | always3(s315))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5143,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s314, s315)) | (~always3(s314)) | always3(s315))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5144,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s314, s315)) | (~always3(s314)) | always3(s315)),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5143, 5142])).
% 8.46/5.91 tff(5145,plain,
% 8.46/5.91 ((~always3(s314)) | always3(s315)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5144, 68, 5141])).
% 8.46/5.91 tff(5146,plain,
% 8.46/5.91 (~always3(s314)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5145, 5134])).
% 8.46/5.91 tff(5147,plain,
% 8.46/5.91 (succ(s313, s314) <=> succ(s313, s314)),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5148,axiom,(succ(s313, s314)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound314')).
% 8.46/5.91 tff(5149,plain,
% 8.46/5.91 (succ(s313, s314)),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5148, 5147])).
% 8.46/5.91 tff(5150,plain,
% 8.46/5.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s313, s314)) | trans(s313, s314))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s313, s314)) | trans(s313, s314))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5151,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s313, s314)) | trans(s313, s314))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5152,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s313, s314)) | trans(s313, s314)),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5151, 5150])).
% 8.46/5.91 tff(5153,plain,
% 8.46/5.91 (trans(s313, s314)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5152, 5149, 51])).
% 8.46/5.91 tff(5154,plain,
% 8.46/5.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s313, s314)) | (~always3(s313)) | always3(s314))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s313, s314)) | (~always3(s313)) | always3(s314))),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5155,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s313, s314)) | (~always3(s313)) | always3(s314))),
% 8.46/5.91 inference(quant_inst,[status(thm)],[])).
% 8.46/5.91 tff(5156,plain,
% 8.46/5.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s313, s314)) | (~always3(s313)) | always3(s314)),
% 8.46/5.91 inference(modus_ponens,[status(thm)],[5155, 5154])).
% 8.46/5.91 tff(5157,plain,
% 8.46/5.91 ((~always3(s313)) | always3(s314)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5156, 68, 5153])).
% 8.46/5.91 tff(5158,plain,
% 8.46/5.91 (~always3(s313)),
% 8.46/5.91 inference(unit_resolution,[status(thm)],[5157, 5146])).
% 8.46/5.91 tff(5159,plain,
% 8.46/5.91 (succ(s312, s313) <=> succ(s312, s313)),
% 8.46/5.91 inference(rewrite,[status(thm)],[])).
% 8.46/5.91 tff(5160,axiom,(succ(s312, s313)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound313')).
% 8.46/5.92 tff(5161,plain,
% 8.46/5.92 (succ(s312, s313)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5160, 5159])).
% 8.46/5.92 tff(5162,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s312, s313)) | trans(s312, s313))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s312, s313)) | trans(s312, s313))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5163,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s312, s313)) | trans(s312, s313))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5164,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s312, s313)) | trans(s312, s313)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5163, 5162])).
% 8.46/5.92 tff(5165,plain,
% 8.46/5.92 (trans(s312, s313)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5164, 5161, 51])).
% 8.46/5.92 tff(5166,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s312, s313)) | (~always3(s312)) | always3(s313))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s312, s313)) | (~always3(s312)) | always3(s313))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5167,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s312, s313)) | (~always3(s312)) | always3(s313))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5168,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s312, s313)) | (~always3(s312)) | always3(s313)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5167, 5166])).
% 8.46/5.92 tff(5169,plain,
% 8.46/5.92 ((~always3(s312)) | always3(s313)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5168, 68, 5165])).
% 8.46/5.92 tff(5170,plain,
% 8.46/5.92 (~always3(s312)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5169, 5158])).
% 8.46/5.92 tff(5171,plain,
% 8.46/5.92 (succ(s311, s312) <=> succ(s311, s312)),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5172,axiom,(succ(s311, s312)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound312')).
% 8.46/5.92 tff(5173,plain,
% 8.46/5.92 (succ(s311, s312)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5172, 5171])).
% 8.46/5.92 tff(5174,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s311, s312)) | trans(s311, s312))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s311, s312)) | trans(s311, s312))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5175,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s311, s312)) | trans(s311, s312))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5176,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s311, s312)) | trans(s311, s312)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5175, 5174])).
% 8.46/5.92 tff(5177,plain,
% 8.46/5.92 (trans(s311, s312)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5176, 5173, 51])).
% 8.46/5.92 tff(5178,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s311, s312)) | (~always3(s311)) | always3(s312))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s311, s312)) | (~always3(s311)) | always3(s312))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5179,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s311, s312)) | (~always3(s311)) | always3(s312))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5180,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s311, s312)) | (~always3(s311)) | always3(s312)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5179, 5178])).
% 8.46/5.92 tff(5181,plain,
% 8.46/5.92 ((~always3(s311)) | always3(s312)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5180, 68, 5177])).
% 8.46/5.92 tff(5182,plain,
% 8.46/5.92 (~always3(s311)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5181, 5170])).
% 8.46/5.92 tff(5183,plain,
% 8.46/5.92 (succ(s310, s311) <=> succ(s310, s311)),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5184,axiom,(succ(s310, s311)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound311')).
% 8.46/5.92 tff(5185,plain,
% 8.46/5.92 (succ(s310, s311)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5184, 5183])).
% 8.46/5.92 tff(5186,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s310, s311)) | trans(s310, s311))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s310, s311)) | trans(s310, s311))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5187,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s310, s311)) | trans(s310, s311))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5188,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s310, s311)) | trans(s310, s311)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5187, 5186])).
% 8.46/5.92 tff(5189,plain,
% 8.46/5.92 (trans(s310, s311)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5188, 5185, 51])).
% 8.46/5.92 tff(5190,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s310, s311)) | (~always3(s310)) | always3(s311))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s310, s311)) | (~always3(s310)) | always3(s311))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5191,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s310, s311)) | (~always3(s310)) | always3(s311))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5192,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s310, s311)) | (~always3(s310)) | always3(s311)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5191, 5190])).
% 8.46/5.92 tff(5193,plain,
% 8.46/5.92 ((~always3(s310)) | always3(s311)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5192, 68, 5189])).
% 8.46/5.92 tff(5194,plain,
% 8.46/5.92 (~always3(s310)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5193, 5182])).
% 8.46/5.92 tff(5195,plain,
% 8.46/5.92 (succ(s309, s310) <=> succ(s309, s310)),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5196,axiom,(succ(s309, s310)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound310')).
% 8.46/5.92 tff(5197,plain,
% 8.46/5.92 (succ(s309, s310)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5196, 5195])).
% 8.46/5.92 tff(5198,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s309, s310)) | trans(s309, s310))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s309, s310)) | trans(s309, s310))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5199,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s309, s310)) | trans(s309, s310))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5200,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s309, s310)) | trans(s309, s310)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5199, 5198])).
% 8.46/5.92 tff(5201,plain,
% 8.46/5.92 (trans(s309, s310)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5200, 5197, 51])).
% 8.46/5.92 tff(5202,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s309, s310)) | (~always3(s309)) | always3(s310))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s309, s310)) | (~always3(s309)) | always3(s310))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5203,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s309, s310)) | (~always3(s309)) | always3(s310))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5204,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s309, s310)) | (~always3(s309)) | always3(s310)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5203, 5202])).
% 8.46/5.92 tff(5205,plain,
% 8.46/5.92 ((~always3(s309)) | always3(s310)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5204, 68, 5201])).
% 8.46/5.92 tff(5206,plain,
% 8.46/5.92 (~always3(s309)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5205, 5194])).
% 8.46/5.92 tff(5207,plain,
% 8.46/5.92 (succ(s308, s309) <=> succ(s308, s309)),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5208,axiom,(succ(s308, s309)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound309')).
% 8.46/5.92 tff(5209,plain,
% 8.46/5.92 (succ(s308, s309)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5208, 5207])).
% 8.46/5.92 tff(5210,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s308, s309)) | trans(s308, s309))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s308, s309)) | trans(s308, s309))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5211,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s308, s309)) | trans(s308, s309))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5212,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s308, s309)) | trans(s308, s309)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5211, 5210])).
% 8.46/5.92 tff(5213,plain,
% 8.46/5.92 (trans(s308, s309)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5212, 5209, 51])).
% 8.46/5.92 tff(5214,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s308, s309)) | (~always3(s308)) | always3(s309))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s308, s309)) | (~always3(s308)) | always3(s309))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5215,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s308, s309)) | (~always3(s308)) | always3(s309))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5216,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s308, s309)) | (~always3(s308)) | always3(s309)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5215, 5214])).
% 8.46/5.92 tff(5217,plain,
% 8.46/5.92 ((~always3(s308)) | always3(s309)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5216, 68, 5213])).
% 8.46/5.92 tff(5218,plain,
% 8.46/5.92 (~always3(s308)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5217, 5206])).
% 8.46/5.92 tff(5219,plain,
% 8.46/5.92 (succ(s307, s308) <=> succ(s307, s308)),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5220,axiom,(succ(s307, s308)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound308')).
% 8.46/5.92 tff(5221,plain,
% 8.46/5.92 (succ(s307, s308)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5220, 5219])).
% 8.46/5.92 tff(5222,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s307, s308)) | trans(s307, s308))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s307, s308)) | trans(s307, s308))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5223,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s307, s308)) | trans(s307, s308))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5224,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s307, s308)) | trans(s307, s308)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5223, 5222])).
% 8.46/5.92 tff(5225,plain,
% 8.46/5.92 (trans(s307, s308)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5224, 5221, 51])).
% 8.46/5.92 tff(5226,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s307, s308)) | (~always3(s307)) | always3(s308))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s307, s308)) | (~always3(s307)) | always3(s308))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5227,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s307, s308)) | (~always3(s307)) | always3(s308))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5228,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s307, s308)) | (~always3(s307)) | always3(s308)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5227, 5226])).
% 8.46/5.92 tff(5229,plain,
% 8.46/5.92 ((~always3(s307)) | always3(s308)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5228, 68, 5225])).
% 8.46/5.92 tff(5230,plain,
% 8.46/5.92 (~always3(s307)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5229, 5218])).
% 8.46/5.92 tff(5231,plain,
% 8.46/5.92 (succ(s306, s307) <=> succ(s306, s307)),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5232,axiom,(succ(s306, s307)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound307')).
% 8.46/5.92 tff(5233,plain,
% 8.46/5.92 (succ(s306, s307)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5232, 5231])).
% 8.46/5.92 tff(5234,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s306, s307)) | trans(s306, s307))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s306, s307)) | trans(s306, s307))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5235,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s306, s307)) | trans(s306, s307))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5236,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s306, s307)) | trans(s306, s307)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5235, 5234])).
% 8.46/5.92 tff(5237,plain,
% 8.46/5.92 (trans(s306, s307)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5236, 5233, 51])).
% 8.46/5.92 tff(5238,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s306, s307)) | (~always3(s306)) | always3(s307))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s306, s307)) | (~always3(s306)) | always3(s307))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5239,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s306, s307)) | (~always3(s306)) | always3(s307))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5240,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s306, s307)) | (~always3(s306)) | always3(s307)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5239, 5238])).
% 8.46/5.92 tff(5241,plain,
% 8.46/5.92 ((~always3(s306)) | always3(s307)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5240, 68, 5237])).
% 8.46/5.92 tff(5242,plain,
% 8.46/5.92 (~always3(s306)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5241, 5230])).
% 8.46/5.92 tff(5243,plain,
% 8.46/5.92 (succ(s305, s306) <=> succ(s305, s306)),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5244,axiom,(succ(s305, s306)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound306')).
% 8.46/5.92 tff(5245,plain,
% 8.46/5.92 (succ(s305, s306)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5244, 5243])).
% 8.46/5.92 tff(5246,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s305, s306)) | trans(s305, s306))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s305, s306)) | trans(s305, s306))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5247,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s305, s306)) | trans(s305, s306))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5248,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s305, s306)) | trans(s305, s306)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5247, 5246])).
% 8.46/5.92 tff(5249,plain,
% 8.46/5.92 (trans(s305, s306)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5248, 5245, 51])).
% 8.46/5.92 tff(5250,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s305, s306)) | (~always3(s305)) | always3(s306))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s305, s306)) | (~always3(s305)) | always3(s306))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5251,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s305, s306)) | (~always3(s305)) | always3(s306))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5252,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s305, s306)) | (~always3(s305)) | always3(s306)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5251, 5250])).
% 8.46/5.92 tff(5253,plain,
% 8.46/5.92 ((~always3(s305)) | always3(s306)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5252, 68, 5249])).
% 8.46/5.92 tff(5254,plain,
% 8.46/5.92 (~always3(s305)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5253, 5242])).
% 8.46/5.92 tff(5255,plain,
% 8.46/5.92 (succ(s304, s305) <=> succ(s304, s305)),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5256,axiom,(succ(s304, s305)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound305')).
% 8.46/5.92 tff(5257,plain,
% 8.46/5.92 (succ(s304, s305)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5256, 5255])).
% 8.46/5.92 tff(5258,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s304, s305)) | trans(s304, s305))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s304, s305)) | trans(s304, s305))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5259,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s304, s305)) | trans(s304, s305))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5260,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s304, s305)) | trans(s304, s305)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5259, 5258])).
% 8.46/5.92 tff(5261,plain,
% 8.46/5.92 (trans(s304, s305)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5260, 5257, 51])).
% 8.46/5.92 tff(5262,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s304, s305)) | (~always3(s304)) | always3(s305))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s304, s305)) | (~always3(s304)) | always3(s305))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5263,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s304, s305)) | (~always3(s304)) | always3(s305))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5264,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s304, s305)) | (~always3(s304)) | always3(s305)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5263, 5262])).
% 8.46/5.92 tff(5265,plain,
% 8.46/5.92 ((~always3(s304)) | always3(s305)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5264, 68, 5261])).
% 8.46/5.92 tff(5266,plain,
% 8.46/5.92 (~always3(s304)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5265, 5254])).
% 8.46/5.92 tff(5267,plain,
% 8.46/5.92 (succ(s303, s304) <=> succ(s303, s304)),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5268,axiom,(succ(s303, s304)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound304')).
% 8.46/5.92 tff(5269,plain,
% 8.46/5.92 (succ(s303, s304)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5268, 5267])).
% 8.46/5.92 tff(5270,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s303, s304)) | trans(s303, s304))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s303, s304)) | trans(s303, s304))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5271,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s303, s304)) | trans(s303, s304))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5272,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s303, s304)) | trans(s303, s304)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5271, 5270])).
% 8.46/5.92 tff(5273,plain,
% 8.46/5.92 (trans(s303, s304)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5272, 5269, 51])).
% 8.46/5.92 tff(5274,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s303, s304)) | (~always3(s303)) | always3(s304))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s303, s304)) | (~always3(s303)) | always3(s304))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5275,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s303, s304)) | (~always3(s303)) | always3(s304))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5276,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s303, s304)) | (~always3(s303)) | always3(s304)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5275, 5274])).
% 8.46/5.92 tff(5277,plain,
% 8.46/5.92 ((~always3(s303)) | always3(s304)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5276, 68, 5273])).
% 8.46/5.92 tff(5278,plain,
% 8.46/5.92 (~always3(s303)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5277, 5266])).
% 8.46/5.92 tff(5279,plain,
% 8.46/5.92 (succ(s302, s303) <=> succ(s302, s303)),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5280,axiom,(succ(s302, s303)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound303')).
% 8.46/5.92 tff(5281,plain,
% 8.46/5.92 (succ(s302, s303)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5280, 5279])).
% 8.46/5.92 tff(5282,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s302, s303)) | trans(s302, s303))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s302, s303)) | trans(s302, s303))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5283,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s302, s303)) | trans(s302, s303))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5284,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s302, s303)) | trans(s302, s303)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5283, 5282])).
% 8.46/5.92 tff(5285,plain,
% 8.46/5.92 (trans(s302, s303)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5284, 5281, 51])).
% 8.46/5.92 tff(5286,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s302, s303)) | (~always3(s302)) | always3(s303))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s302, s303)) | (~always3(s302)) | always3(s303))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5287,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s302, s303)) | (~always3(s302)) | always3(s303))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5288,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s302, s303)) | (~always3(s302)) | always3(s303)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5287, 5286])).
% 8.46/5.92 tff(5289,plain,
% 8.46/5.92 ((~always3(s302)) | always3(s303)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5288, 68, 5285])).
% 8.46/5.92 tff(5290,plain,
% 8.46/5.92 (~always3(s302)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5289, 5278])).
% 8.46/5.92 tff(5291,plain,
% 8.46/5.92 (succ(s301, s302) <=> succ(s301, s302)),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5292,axiom,(succ(s301, s302)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound302')).
% 8.46/5.92 tff(5293,plain,
% 8.46/5.92 (succ(s301, s302)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5292, 5291])).
% 8.46/5.92 tff(5294,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s301, s302)) | trans(s301, s302))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s301, s302)) | trans(s301, s302))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5295,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s301, s302)) | trans(s301, s302))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5296,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s301, s302)) | trans(s301, s302)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5295, 5294])).
% 8.46/5.92 tff(5297,plain,
% 8.46/5.92 (trans(s301, s302)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5296, 5293, 51])).
% 8.46/5.92 tff(5298,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s301, s302)) | (~always3(s301)) | always3(s302))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s301, s302)) | (~always3(s301)) | always3(s302))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5299,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s301, s302)) | (~always3(s301)) | always3(s302))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5300,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s301, s302)) | (~always3(s301)) | always3(s302)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5299, 5298])).
% 8.46/5.92 tff(5301,plain,
% 8.46/5.92 ((~always3(s301)) | always3(s302)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5300, 68, 5297])).
% 8.46/5.92 tff(5302,plain,
% 8.46/5.92 (~always3(s301)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5301, 5290])).
% 8.46/5.92 tff(5303,plain,
% 8.46/5.92 (succ(s300, s301) <=> succ(s300, s301)),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5304,axiom,(succ(s300, s301)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound301')).
% 8.46/5.92 tff(5305,plain,
% 8.46/5.92 (succ(s300, s301)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5304, 5303])).
% 8.46/5.92 tff(5306,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s300, s301)) | trans(s300, s301))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s300, s301)) | trans(s300, s301))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5307,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s300, s301)) | trans(s300, s301))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5308,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s300, s301)) | trans(s300, s301)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5307, 5306])).
% 8.46/5.92 tff(5309,plain,
% 8.46/5.92 (trans(s300, s301)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5308, 5305, 51])).
% 8.46/5.92 tff(5310,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s300, s301)) | (~always3(s300)) | always3(s301))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s300, s301)) | (~always3(s300)) | always3(s301))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5311,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s300, s301)) | (~always3(s300)) | always3(s301))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5312,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s300, s301)) | (~always3(s300)) | always3(s301)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5311, 5310])).
% 8.46/5.92 tff(5313,plain,
% 8.46/5.92 ((~always3(s300)) | always3(s301)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5312, 68, 5309])).
% 8.46/5.92 tff(5314,plain,
% 8.46/5.92 (~always3(s300)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5313, 5302])).
% 8.46/5.92 tff(5315,plain,
% 8.46/5.92 (succ(s299, s300) <=> succ(s299, s300)),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5316,axiom,(succ(s299, s300)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound300')).
% 8.46/5.92 tff(5317,plain,
% 8.46/5.92 (succ(s299, s300)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5316, 5315])).
% 8.46/5.92 tff(5318,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s299, s300)) | trans(s299, s300))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s299, s300)) | trans(s299, s300))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5319,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s299, s300)) | trans(s299, s300))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5320,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s299, s300)) | trans(s299, s300)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5319, 5318])).
% 8.46/5.92 tff(5321,plain,
% 8.46/5.92 (trans(s299, s300)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5320, 5317, 51])).
% 8.46/5.92 tff(5322,plain,
% 8.46/5.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s299, s300)) | (~always3(s299)) | always3(s300))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s299, s300)) | (~always3(s299)) | always3(s300))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5323,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s299, s300)) | (~always3(s299)) | always3(s300))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5324,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s299, s300)) | (~always3(s299)) | always3(s300)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5323, 5322])).
% 8.46/5.92 tff(5325,plain,
% 8.46/5.92 ((~always3(s299)) | always3(s300)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5324, 68, 5321])).
% 8.46/5.92 tff(5326,plain,
% 8.46/5.92 (~always3(s299)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5325, 5314])).
% 8.46/5.92 tff(5327,plain,
% 8.46/5.92 (succ(s298, s299) <=> succ(s298, s299)),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5328,axiom,(succ(s298, s299)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound299')).
% 8.46/5.92 tff(5329,plain,
% 8.46/5.92 (succ(s298, s299)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5328, 5327])).
% 8.46/5.92 tff(5330,plain,
% 8.46/5.92 (((~![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))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5331,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s298, s299)) | trans(s298, s299))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5332,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s298, s299)) | trans(s298, s299)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5331, 5330])).
% 8.46/5.92 tff(5333,plain,
% 8.46/5.92 (trans(s298, s299)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5332, 5329, 51])).
% 8.46/5.92 tff(5334,plain,
% 8.46/5.92 (((~![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))) | (~trans(s298, s299)) | (~always3(s298)) | always3(s299))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5335,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s298, s299)) | (~always3(s298)) | always3(s299))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5336,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s298, s299)) | (~always3(s298)) | always3(s299)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5335, 5334])).
% 8.46/5.92 tff(5337,plain,
% 8.46/5.92 ((~always3(s298)) | always3(s299)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5336, 68, 5333])).
% 8.46/5.92 tff(5338,plain,
% 8.46/5.92 (~always3(s298)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5337, 5326])).
% 8.46/5.92 tff(5339,plain,
% 8.46/5.92 (succ(s297, s298) <=> succ(s297, s298)),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5340,axiom,(succ(s297, s298)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound298')).
% 8.46/5.92 tff(5341,plain,
% 8.46/5.92 (succ(s297, s298)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5340, 5339])).
% 8.46/5.92 tff(5342,plain,
% 8.46/5.92 (((~![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))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5343,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s297, s298)) | trans(s297, s298))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5344,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s297, s298)) | trans(s297, s298)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5343, 5342])).
% 8.46/5.92 tff(5345,plain,
% 8.46/5.92 (trans(s297, s298)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5344, 5341, 51])).
% 8.46/5.92 tff(5346,plain,
% 8.46/5.92 (((~![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))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5347,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s297, s298)) | (~always3(s297)) | always3(s298))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5348,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s297, s298)) | (~always3(s297)) | always3(s298)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5347, 5346])).
% 8.46/5.92 tff(5349,plain,
% 8.46/5.92 ((~always3(s297)) | always3(s298)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5348, 68, 5345])).
% 8.46/5.92 tff(5350,plain,
% 8.46/5.92 (~always3(s297)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5349, 5338])).
% 8.46/5.92 tff(5351,plain,
% 8.46/5.92 (succ(s296, s297) <=> succ(s296, s297)),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5352,axiom,(succ(s296, s297)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound297')).
% 8.46/5.92 tff(5353,plain,
% 8.46/5.92 (succ(s296, s297)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5352, 5351])).
% 8.46/5.92 tff(5354,plain,
% 8.46/5.92 (((~![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))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5355,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s296, s297)) | trans(s296, s297))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5356,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s296, s297)) | trans(s296, s297)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5355, 5354])).
% 8.46/5.92 tff(5357,plain,
% 8.46/5.92 (trans(s296, s297)),
% 8.46/5.92 inference(unit_resolution,[status(thm)],[5356, 5353, 51])).
% 8.46/5.92 tff(5358,plain,
% 8.46/5.92 (((~![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))),
% 8.46/5.92 inference(rewrite,[status(thm)],[])).
% 8.46/5.92 tff(5359,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s296, s297)) | (~always3(s296)) | always3(s297))),
% 8.46/5.92 inference(quant_inst,[status(thm)],[])).
% 8.46/5.92 tff(5360,plain,
% 8.46/5.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s296, s297)) | (~always3(s296)) | always3(s297)),
% 8.46/5.92 inference(modus_ponens,[status(thm)],[5359, 5358])).
% 8.46/5.93 tff(5361,plain,
% 8.46/5.93 ((~always3(s296)) | always3(s297)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5360, 68, 5357])).
% 8.46/5.93 tff(5362,plain,
% 8.46/5.93 (~always3(s296)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5361, 5350])).
% 8.46/5.93 tff(5363,plain,
% 8.46/5.93 (succ(s295, s296) <=> succ(s295, s296)),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5364,axiom,(succ(s295, s296)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound296')).
% 8.46/5.93 tff(5365,plain,
% 8.46/5.93 (succ(s295, s296)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5364, 5363])).
% 8.46/5.93 tff(5366,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5367,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s295, s296)) | trans(s295, s296))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5368,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s295, s296)) | trans(s295, s296)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5367, 5366])).
% 8.46/5.93 tff(5369,plain,
% 8.46/5.93 (trans(s295, s296)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5368, 5365, 51])).
% 8.46/5.93 tff(5370,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5371,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s295, s296)) | (~always3(s295)) | always3(s296))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5372,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s295, s296)) | (~always3(s295)) | always3(s296)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5371, 5370])).
% 8.46/5.93 tff(5373,plain,
% 8.46/5.93 ((~always3(s295)) | always3(s296)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5372, 68, 5369])).
% 8.46/5.93 tff(5374,plain,
% 8.46/5.93 (~always3(s295)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5373, 5362])).
% 8.46/5.93 tff(5375,plain,
% 8.46/5.93 (succ(s294, s295) <=> succ(s294, s295)),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5376,axiom,(succ(s294, s295)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound295')).
% 8.46/5.93 tff(5377,plain,
% 8.46/5.93 (succ(s294, s295)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5376, 5375])).
% 8.46/5.93 tff(5378,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5379,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s294, s295)) | trans(s294, s295))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5380,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s294, s295)) | trans(s294, s295)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5379, 5378])).
% 8.46/5.93 tff(5381,plain,
% 8.46/5.93 (trans(s294, s295)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5380, 5377, 51])).
% 8.46/5.93 tff(5382,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5383,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s294, s295)) | (~always3(s294)) | always3(s295))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5384,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s294, s295)) | (~always3(s294)) | always3(s295)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5383, 5382])).
% 8.46/5.93 tff(5385,plain,
% 8.46/5.93 ((~always3(s294)) | always3(s295)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5384, 68, 5381])).
% 8.46/5.93 tff(5386,plain,
% 8.46/5.93 (~always3(s294)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5385, 5374])).
% 8.46/5.93 tff(5387,plain,
% 8.46/5.93 (succ(s293, s294) <=> succ(s293, s294)),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5388,axiom,(succ(s293, s294)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound294')).
% 8.46/5.93 tff(5389,plain,
% 8.46/5.93 (succ(s293, s294)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5388, 5387])).
% 8.46/5.93 tff(5390,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5391,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s293, s294)) | trans(s293, s294))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5392,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s293, s294)) | trans(s293, s294)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5391, 5390])).
% 8.46/5.93 tff(5393,plain,
% 8.46/5.93 (trans(s293, s294)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5392, 5389, 51])).
% 8.46/5.93 tff(5394,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5395,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s293, s294)) | (~always3(s293)) | always3(s294))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5396,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s293, s294)) | (~always3(s293)) | always3(s294)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5395, 5394])).
% 8.46/5.93 tff(5397,plain,
% 8.46/5.93 ((~always3(s293)) | always3(s294)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5396, 68, 5393])).
% 8.46/5.93 tff(5398,plain,
% 8.46/5.93 (~always3(s293)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5397, 5386])).
% 8.46/5.93 tff(5399,plain,
% 8.46/5.93 (succ(s292, s293) <=> succ(s292, s293)),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5400,axiom,(succ(s292, s293)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound293')).
% 8.46/5.93 tff(5401,plain,
% 8.46/5.93 (succ(s292, s293)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5400, 5399])).
% 8.46/5.93 tff(5402,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5403,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s292, s293)) | trans(s292, s293))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5404,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s292, s293)) | trans(s292, s293)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5403, 5402])).
% 8.46/5.93 tff(5405,plain,
% 8.46/5.93 (trans(s292, s293)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5404, 5401, 51])).
% 8.46/5.93 tff(5406,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5407,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s292, s293)) | (~always3(s292)) | always3(s293))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5408,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s292, s293)) | (~always3(s292)) | always3(s293)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5407, 5406])).
% 8.46/5.93 tff(5409,plain,
% 8.46/5.93 ((~always3(s292)) | always3(s293)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5408, 68, 5405])).
% 8.46/5.93 tff(5410,plain,
% 8.46/5.93 (~always3(s292)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5409, 5398])).
% 8.46/5.93 tff(5411,plain,
% 8.46/5.93 (succ(s291, s292) <=> succ(s291, s292)),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5412,axiom,(succ(s291, s292)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound292')).
% 8.46/5.93 tff(5413,plain,
% 8.46/5.93 (succ(s291, s292)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5412, 5411])).
% 8.46/5.93 tff(5414,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5415,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s291, s292)) | trans(s291, s292))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5416,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s291, s292)) | trans(s291, s292)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5415, 5414])).
% 8.46/5.93 tff(5417,plain,
% 8.46/5.93 (trans(s291, s292)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5416, 5413, 51])).
% 8.46/5.93 tff(5418,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5419,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s291, s292)) | (~always3(s291)) | always3(s292))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5420,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s291, s292)) | (~always3(s291)) | always3(s292)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5419, 5418])).
% 8.46/5.93 tff(5421,plain,
% 8.46/5.93 ((~always3(s291)) | always3(s292)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5420, 68, 5417])).
% 8.46/5.93 tff(5422,plain,
% 8.46/5.93 (~always3(s291)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5421, 5410])).
% 8.46/5.93 tff(5423,plain,
% 8.46/5.93 (succ(s290, s291) <=> succ(s290, s291)),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5424,axiom,(succ(s290, s291)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound291')).
% 8.46/5.93 tff(5425,plain,
% 8.46/5.93 (succ(s290, s291)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5424, 5423])).
% 8.46/5.93 tff(5426,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5427,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s290, s291)) | trans(s290, s291))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5428,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s290, s291)) | trans(s290, s291)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5427, 5426])).
% 8.46/5.93 tff(5429,plain,
% 8.46/5.93 (trans(s290, s291)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5428, 5425, 51])).
% 8.46/5.93 tff(5430,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5431,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s290, s291)) | (~always3(s290)) | always3(s291))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5432,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s290, s291)) | (~always3(s290)) | always3(s291)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5431, 5430])).
% 8.46/5.93 tff(5433,plain,
% 8.46/5.93 ((~always3(s290)) | always3(s291)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5432, 68, 5429])).
% 8.46/5.93 tff(5434,plain,
% 8.46/5.93 (~always3(s290)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5433, 5422])).
% 8.46/5.93 tff(5435,plain,
% 8.46/5.93 (succ(s289, s290) <=> succ(s289, s290)),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5436,axiom,(succ(s289, s290)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound290')).
% 8.46/5.93 tff(5437,plain,
% 8.46/5.93 (succ(s289, s290)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5436, 5435])).
% 8.46/5.93 tff(5438,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5439,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s289, s290)) | trans(s289, s290))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5440,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s289, s290)) | trans(s289, s290)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5439, 5438])).
% 8.46/5.93 tff(5441,plain,
% 8.46/5.93 (trans(s289, s290)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5440, 5437, 51])).
% 8.46/5.93 tff(5442,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5443,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s289, s290)) | (~always3(s289)) | always3(s290))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5444,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s289, s290)) | (~always3(s289)) | always3(s290)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5443, 5442])).
% 8.46/5.93 tff(5445,plain,
% 8.46/5.93 ((~always3(s289)) | always3(s290)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5444, 68, 5441])).
% 8.46/5.93 tff(5446,plain,
% 8.46/5.93 (~always3(s289)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5445, 5434])).
% 8.46/5.93 tff(5447,plain,
% 8.46/5.93 (succ(s288, s289) <=> succ(s288, s289)),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5448,axiom,(succ(s288, s289)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound289')).
% 8.46/5.93 tff(5449,plain,
% 8.46/5.93 (succ(s288, s289)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5448, 5447])).
% 8.46/5.93 tff(5450,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5451,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s288, s289)) | trans(s288, s289))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5452,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s288, s289)) | trans(s288, s289)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5451, 5450])).
% 8.46/5.93 tff(5453,plain,
% 8.46/5.93 (trans(s288, s289)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5452, 5449, 51])).
% 8.46/5.93 tff(5454,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5455,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s288, s289)) | (~always3(s288)) | always3(s289))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5456,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s288, s289)) | (~always3(s288)) | always3(s289)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5455, 5454])).
% 8.46/5.93 tff(5457,plain,
% 8.46/5.93 ((~always3(s288)) | always3(s289)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5456, 68, 5453])).
% 8.46/5.93 tff(5458,plain,
% 8.46/5.93 (~always3(s288)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5457, 5446])).
% 8.46/5.93 tff(5459,plain,
% 8.46/5.93 (succ(s287, s288) <=> succ(s287, s288)),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5460,axiom,(succ(s287, s288)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound288')).
% 8.46/5.93 tff(5461,plain,
% 8.46/5.93 (succ(s287, s288)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5460, 5459])).
% 8.46/5.93 tff(5462,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5463,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s287, s288)) | trans(s287, s288))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5464,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s287, s288)) | trans(s287, s288)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5463, 5462])).
% 8.46/5.93 tff(5465,plain,
% 8.46/5.93 (trans(s287, s288)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5464, 5461, 51])).
% 8.46/5.93 tff(5466,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5467,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s287, s288)) | (~always3(s287)) | always3(s288))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5468,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s287, s288)) | (~always3(s287)) | always3(s288)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5467, 5466])).
% 8.46/5.93 tff(5469,plain,
% 8.46/5.93 ((~always3(s287)) | always3(s288)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5468, 68, 5465])).
% 8.46/5.93 tff(5470,plain,
% 8.46/5.93 (~always3(s287)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5469, 5458])).
% 8.46/5.93 tff(5471,plain,
% 8.46/5.93 (succ(s286, s287) <=> succ(s286, s287)),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5472,axiom,(succ(s286, s287)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound287')).
% 8.46/5.93 tff(5473,plain,
% 8.46/5.93 (succ(s286, s287)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5472, 5471])).
% 8.46/5.93 tff(5474,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5475,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s286, s287)) | trans(s286, s287))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5476,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s286, s287)) | trans(s286, s287)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5475, 5474])).
% 8.46/5.93 tff(5477,plain,
% 8.46/5.93 (trans(s286, s287)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5476, 5473, 51])).
% 8.46/5.93 tff(5478,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5479,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s286, s287)) | (~always3(s286)) | always3(s287))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5480,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s286, s287)) | (~always3(s286)) | always3(s287)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5479, 5478])).
% 8.46/5.93 tff(5481,plain,
% 8.46/5.93 ((~always3(s286)) | always3(s287)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5480, 68, 5477])).
% 8.46/5.93 tff(5482,plain,
% 8.46/5.93 (~always3(s286)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5481, 5470])).
% 8.46/5.93 tff(5483,plain,
% 8.46/5.93 (succ(s285, s286) <=> succ(s285, s286)),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5484,axiom,(succ(s285, s286)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound286')).
% 8.46/5.93 tff(5485,plain,
% 8.46/5.93 (succ(s285, s286)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5484, 5483])).
% 8.46/5.93 tff(5486,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5487,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s285, s286)) | trans(s285, s286))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5488,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s285, s286)) | trans(s285, s286)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5487, 5486])).
% 8.46/5.93 tff(5489,plain,
% 8.46/5.93 (trans(s285, s286)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5488, 5485, 51])).
% 8.46/5.93 tff(5490,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5491,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s285, s286)) | (~always3(s285)) | always3(s286))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5492,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s285, s286)) | (~always3(s285)) | always3(s286)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5491, 5490])).
% 8.46/5.93 tff(5493,plain,
% 8.46/5.93 ((~always3(s285)) | always3(s286)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5492, 68, 5489])).
% 8.46/5.93 tff(5494,plain,
% 8.46/5.93 (~always3(s285)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5493, 5482])).
% 8.46/5.93 tff(5495,plain,
% 8.46/5.93 (succ(s284, s285) <=> succ(s284, s285)),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5496,axiom,(succ(s284, s285)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound285')).
% 8.46/5.93 tff(5497,plain,
% 8.46/5.93 (succ(s284, s285)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5496, 5495])).
% 8.46/5.93 tff(5498,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5499,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s284, s285)) | trans(s284, s285))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5500,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s284, s285)) | trans(s284, s285)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5499, 5498])).
% 8.46/5.93 tff(5501,plain,
% 8.46/5.93 (trans(s284, s285)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5500, 5497, 51])).
% 8.46/5.93 tff(5502,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5503,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s284, s285)) | (~always3(s284)) | always3(s285))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5504,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s284, s285)) | (~always3(s284)) | always3(s285)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5503, 5502])).
% 8.46/5.93 tff(5505,plain,
% 8.46/5.93 ((~always3(s284)) | always3(s285)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5504, 68, 5501])).
% 8.46/5.93 tff(5506,plain,
% 8.46/5.93 (~always3(s284)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5505, 5494])).
% 8.46/5.93 tff(5507,plain,
% 8.46/5.93 (succ(s283, s284) <=> succ(s283, s284)),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5508,axiom,(succ(s283, s284)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound284')).
% 8.46/5.93 tff(5509,plain,
% 8.46/5.93 (succ(s283, s284)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5508, 5507])).
% 8.46/5.93 tff(5510,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5511,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s283, s284)) | trans(s283, s284))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5512,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s283, s284)) | trans(s283, s284)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5511, 5510])).
% 8.46/5.93 tff(5513,plain,
% 8.46/5.93 (trans(s283, s284)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5512, 5509, 51])).
% 8.46/5.93 tff(5514,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5515,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s283, s284)) | (~always3(s283)) | always3(s284))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5516,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s283, s284)) | (~always3(s283)) | always3(s284)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5515, 5514])).
% 8.46/5.93 tff(5517,plain,
% 8.46/5.93 ((~always3(s283)) | always3(s284)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5516, 68, 5513])).
% 8.46/5.93 tff(5518,plain,
% 8.46/5.93 (~always3(s283)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5517, 5506])).
% 8.46/5.93 tff(5519,plain,
% 8.46/5.93 (succ(s282, s283) <=> succ(s282, s283)),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5520,axiom,(succ(s282, s283)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound283')).
% 8.46/5.93 tff(5521,plain,
% 8.46/5.93 (succ(s282, s283)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5520, 5519])).
% 8.46/5.93 tff(5522,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5523,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s282, s283)) | trans(s282, s283))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5524,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s282, s283)) | trans(s282, s283)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5523, 5522])).
% 8.46/5.93 tff(5525,plain,
% 8.46/5.93 (trans(s282, s283)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5524, 5521, 51])).
% 8.46/5.93 tff(5526,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5527,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s282, s283)) | (~always3(s282)) | always3(s283))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5528,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s282, s283)) | (~always3(s282)) | always3(s283)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5527, 5526])).
% 8.46/5.93 tff(5529,plain,
% 8.46/5.93 ((~always3(s282)) | always3(s283)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5528, 68, 5525])).
% 8.46/5.93 tff(5530,plain,
% 8.46/5.93 (~always3(s282)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5529, 5518])).
% 8.46/5.93 tff(5531,plain,
% 8.46/5.93 (succ(s281, s282) <=> succ(s281, s282)),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5532,axiom,(succ(s281, s282)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound282')).
% 8.46/5.93 tff(5533,plain,
% 8.46/5.93 (succ(s281, s282)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5532, 5531])).
% 8.46/5.93 tff(5534,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5535,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s281, s282)) | trans(s281, s282))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5536,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s281, s282)) | trans(s281, s282)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5535, 5534])).
% 8.46/5.93 tff(5537,plain,
% 8.46/5.93 (trans(s281, s282)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5536, 5533, 51])).
% 8.46/5.93 tff(5538,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5539,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s281, s282)) | (~always3(s281)) | always3(s282))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5540,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s281, s282)) | (~always3(s281)) | always3(s282)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5539, 5538])).
% 8.46/5.93 tff(5541,plain,
% 8.46/5.93 ((~always3(s281)) | always3(s282)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5540, 68, 5537])).
% 8.46/5.93 tff(5542,plain,
% 8.46/5.93 (~always3(s281)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5541, 5530])).
% 8.46/5.93 tff(5543,plain,
% 8.46/5.93 (succ(s280, s281) <=> succ(s280, s281)),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5544,axiom,(succ(s280, s281)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound281')).
% 8.46/5.93 tff(5545,plain,
% 8.46/5.93 (succ(s280, s281)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5544, 5543])).
% 8.46/5.93 tff(5546,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.93 inference(rewrite,[status(thm)],[])).
% 8.46/5.93 tff(5547,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s280, s281)) | trans(s280, s281))),
% 8.46/5.93 inference(quant_inst,[status(thm)],[])).
% 8.46/5.93 tff(5548,plain,
% 8.46/5.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s280, s281)) | trans(s280, s281)),
% 8.46/5.93 inference(modus_ponens,[status(thm)],[5547, 5546])).
% 8.46/5.93 tff(5549,plain,
% 8.46/5.93 (trans(s280, s281)),
% 8.46/5.93 inference(unit_resolution,[status(thm)],[5548, 5545, 51])).
% 8.46/5.93 tff(5550,plain,
% 8.46/5.93 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5551,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s280, s281)) | (~always3(s280)) | always3(s281))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5552,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s280, s281)) | (~always3(s280)) | always3(s281)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5551, 5550])).
% 8.46/5.94 tff(5553,plain,
% 8.46/5.94 ((~always3(s280)) | always3(s281)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5552, 68, 5549])).
% 8.46/5.94 tff(5554,plain,
% 8.46/5.94 (~always3(s280)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5553, 5542])).
% 8.46/5.94 tff(5555,plain,
% 8.46/5.94 (succ(s279, s280) <=> succ(s279, s280)),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5556,axiom,(succ(s279, s280)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound280')).
% 8.46/5.94 tff(5557,plain,
% 8.46/5.94 (succ(s279, s280)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5556, 5555])).
% 8.46/5.94 tff(5558,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5559,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s279, s280)) | trans(s279, s280))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5560,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s279, s280)) | trans(s279, s280)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5559, 5558])).
% 8.46/5.94 tff(5561,plain,
% 8.46/5.94 (trans(s279, s280)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5560, 5557, 51])).
% 8.46/5.94 tff(5562,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5563,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s279, s280)) | (~always3(s279)) | always3(s280))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5564,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s279, s280)) | (~always3(s279)) | always3(s280)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5563, 5562])).
% 8.46/5.94 tff(5565,plain,
% 8.46/5.94 ((~always3(s279)) | always3(s280)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5564, 68, 5561])).
% 8.46/5.94 tff(5566,plain,
% 8.46/5.94 (~always3(s279)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5565, 5554])).
% 8.46/5.94 tff(5567,plain,
% 8.46/5.94 (succ(s278, s279) <=> succ(s278, s279)),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5568,axiom,(succ(s278, s279)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound279')).
% 8.46/5.94 tff(5569,plain,
% 8.46/5.94 (succ(s278, s279)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5568, 5567])).
% 8.46/5.94 tff(5570,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5571,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s278, s279)) | trans(s278, s279))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5572,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s278, s279)) | trans(s278, s279)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5571, 5570])).
% 8.46/5.94 tff(5573,plain,
% 8.46/5.94 (trans(s278, s279)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5572, 5569, 51])).
% 8.46/5.94 tff(5574,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5575,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s278, s279)) | (~always3(s278)) | always3(s279))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5576,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s278, s279)) | (~always3(s278)) | always3(s279)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5575, 5574])).
% 8.46/5.94 tff(5577,plain,
% 8.46/5.94 ((~always3(s278)) | always3(s279)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5576, 68, 5573])).
% 8.46/5.94 tff(5578,plain,
% 8.46/5.94 (~always3(s278)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5577, 5566])).
% 8.46/5.94 tff(5579,plain,
% 8.46/5.94 (succ(s277, s278) <=> succ(s277, s278)),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5580,axiom,(succ(s277, s278)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound278')).
% 8.46/5.94 tff(5581,plain,
% 8.46/5.94 (succ(s277, s278)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5580, 5579])).
% 8.46/5.94 tff(5582,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5583,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s277, s278)) | trans(s277, s278))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5584,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s277, s278)) | trans(s277, s278)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5583, 5582])).
% 8.46/5.94 tff(5585,plain,
% 8.46/5.94 (trans(s277, s278)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5584, 5581, 51])).
% 8.46/5.94 tff(5586,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5587,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s277, s278)) | (~always3(s277)) | always3(s278))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5588,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s277, s278)) | (~always3(s277)) | always3(s278)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5587, 5586])).
% 8.46/5.94 tff(5589,plain,
% 8.46/5.94 ((~always3(s277)) | always3(s278)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5588, 68, 5585])).
% 8.46/5.94 tff(5590,plain,
% 8.46/5.94 (~always3(s277)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5589, 5578])).
% 8.46/5.94 tff(5591,plain,
% 8.46/5.94 (succ(s276, s277) <=> succ(s276, s277)),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5592,axiom,(succ(s276, s277)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound277')).
% 8.46/5.94 tff(5593,plain,
% 8.46/5.94 (succ(s276, s277)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5592, 5591])).
% 8.46/5.94 tff(5594,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5595,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s276, s277)) | trans(s276, s277))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5596,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s276, s277)) | trans(s276, s277)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5595, 5594])).
% 8.46/5.94 tff(5597,plain,
% 8.46/5.94 (trans(s276, s277)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5596, 5593, 51])).
% 8.46/5.94 tff(5598,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5599,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s276, s277)) | (~always3(s276)) | always3(s277))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5600,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s276, s277)) | (~always3(s276)) | always3(s277)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5599, 5598])).
% 8.46/5.94 tff(5601,plain,
% 8.46/5.94 ((~always3(s276)) | always3(s277)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5600, 68, 5597])).
% 8.46/5.94 tff(5602,plain,
% 8.46/5.94 (~always3(s276)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5601, 5590])).
% 8.46/5.94 tff(5603,plain,
% 8.46/5.94 (succ(s275, s276) <=> succ(s275, s276)),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5604,axiom,(succ(s275, s276)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound276')).
% 8.46/5.94 tff(5605,plain,
% 8.46/5.94 (succ(s275, s276)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5604, 5603])).
% 8.46/5.94 tff(5606,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5607,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s275, s276)) | trans(s275, s276))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5608,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s275, s276)) | trans(s275, s276)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5607, 5606])).
% 8.46/5.94 tff(5609,plain,
% 8.46/5.94 (trans(s275, s276)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5608, 5605, 51])).
% 8.46/5.94 tff(5610,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5611,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s275, s276)) | (~always3(s275)) | always3(s276))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5612,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s275, s276)) | (~always3(s275)) | always3(s276)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5611, 5610])).
% 8.46/5.94 tff(5613,plain,
% 8.46/5.94 ((~always3(s275)) | always3(s276)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5612, 68, 5609])).
% 8.46/5.94 tff(5614,plain,
% 8.46/5.94 (~always3(s275)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5613, 5602])).
% 8.46/5.94 tff(5615,plain,
% 8.46/5.94 (succ(s274, s275) <=> succ(s274, s275)),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5616,axiom,(succ(s274, s275)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound275')).
% 8.46/5.94 tff(5617,plain,
% 8.46/5.94 (succ(s274, s275)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5616, 5615])).
% 8.46/5.94 tff(5618,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5619,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s274, s275)) | trans(s274, s275))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5620,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s274, s275)) | trans(s274, s275)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5619, 5618])).
% 8.46/5.94 tff(5621,plain,
% 8.46/5.94 (trans(s274, s275)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5620, 5617, 51])).
% 8.46/5.94 tff(5622,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5623,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s274, s275)) | (~always3(s274)) | always3(s275))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5624,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s274, s275)) | (~always3(s274)) | always3(s275)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5623, 5622])).
% 8.46/5.94 tff(5625,plain,
% 8.46/5.94 ((~always3(s274)) | always3(s275)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5624, 68, 5621])).
% 8.46/5.94 tff(5626,plain,
% 8.46/5.94 (~always3(s274)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5625, 5614])).
% 8.46/5.94 tff(5627,plain,
% 8.46/5.94 (succ(s273, s274) <=> succ(s273, s274)),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5628,axiom,(succ(s273, s274)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound274')).
% 8.46/5.94 tff(5629,plain,
% 8.46/5.94 (succ(s273, s274)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5628, 5627])).
% 8.46/5.94 tff(5630,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5631,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s273, s274)) | trans(s273, s274))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5632,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s273, s274)) | trans(s273, s274)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5631, 5630])).
% 8.46/5.94 tff(5633,plain,
% 8.46/5.94 (trans(s273, s274)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5632, 5629, 51])).
% 8.46/5.94 tff(5634,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5635,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s273, s274)) | (~always3(s273)) | always3(s274))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5636,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s273, s274)) | (~always3(s273)) | always3(s274)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5635, 5634])).
% 8.46/5.94 tff(5637,plain,
% 8.46/5.94 ((~always3(s273)) | always3(s274)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5636, 68, 5633])).
% 8.46/5.94 tff(5638,plain,
% 8.46/5.94 (~always3(s273)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5637, 5626])).
% 8.46/5.94 tff(5639,plain,
% 8.46/5.94 (succ(s272, s273) <=> succ(s272, s273)),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5640,axiom,(succ(s272, s273)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound273')).
% 8.46/5.94 tff(5641,plain,
% 8.46/5.94 (succ(s272, s273)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5640, 5639])).
% 8.46/5.94 tff(5642,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5643,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s272, s273)) | trans(s272, s273))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5644,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s272, s273)) | trans(s272, s273)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5643, 5642])).
% 8.46/5.94 tff(5645,plain,
% 8.46/5.94 (trans(s272, s273)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5644, 5641, 51])).
% 8.46/5.94 tff(5646,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5647,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s272, s273)) | (~always3(s272)) | always3(s273))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5648,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s272, s273)) | (~always3(s272)) | always3(s273)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5647, 5646])).
% 8.46/5.94 tff(5649,plain,
% 8.46/5.94 ((~always3(s272)) | always3(s273)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5648, 68, 5645])).
% 8.46/5.94 tff(5650,plain,
% 8.46/5.94 (~always3(s272)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5649, 5638])).
% 8.46/5.94 tff(5651,plain,
% 8.46/5.94 (succ(s271, s272) <=> succ(s271, s272)),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5652,axiom,(succ(s271, s272)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound272')).
% 8.46/5.94 tff(5653,plain,
% 8.46/5.94 (succ(s271, s272)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5652, 5651])).
% 8.46/5.94 tff(5654,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5655,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s271, s272)) | trans(s271, s272))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5656,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s271, s272)) | trans(s271, s272)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5655, 5654])).
% 8.46/5.94 tff(5657,plain,
% 8.46/5.94 (trans(s271, s272)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5656, 5653, 51])).
% 8.46/5.94 tff(5658,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5659,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s271, s272)) | (~always3(s271)) | always3(s272))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5660,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s271, s272)) | (~always3(s271)) | always3(s272)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5659, 5658])).
% 8.46/5.94 tff(5661,plain,
% 8.46/5.94 ((~always3(s271)) | always3(s272)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5660, 68, 5657])).
% 8.46/5.94 tff(5662,plain,
% 8.46/5.94 (~always3(s271)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5661, 5650])).
% 8.46/5.94 tff(5663,plain,
% 8.46/5.94 (succ(s270, s271) <=> succ(s270, s271)),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5664,axiom,(succ(s270, s271)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound271')).
% 8.46/5.94 tff(5665,plain,
% 8.46/5.94 (succ(s270, s271)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5664, 5663])).
% 8.46/5.94 tff(5666,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5667,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s270, s271)) | trans(s270, s271))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5668,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s270, s271)) | trans(s270, s271)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5667, 5666])).
% 8.46/5.94 tff(5669,plain,
% 8.46/5.94 (trans(s270, s271)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5668, 5665, 51])).
% 8.46/5.94 tff(5670,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5671,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s270, s271)) | (~always3(s270)) | always3(s271))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5672,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s270, s271)) | (~always3(s270)) | always3(s271)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5671, 5670])).
% 8.46/5.94 tff(5673,plain,
% 8.46/5.94 ((~always3(s270)) | always3(s271)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5672, 68, 5669])).
% 8.46/5.94 tff(5674,plain,
% 8.46/5.94 (~always3(s270)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5673, 5662])).
% 8.46/5.94 tff(5675,plain,
% 8.46/5.94 (succ(s269, s270) <=> succ(s269, s270)),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5676,axiom,(succ(s269, s270)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound270')).
% 8.46/5.94 tff(5677,plain,
% 8.46/5.94 (succ(s269, s270)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5676, 5675])).
% 8.46/5.94 tff(5678,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5679,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s269, s270)) | trans(s269, s270))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5680,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s269, s270)) | trans(s269, s270)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5679, 5678])).
% 8.46/5.94 tff(5681,plain,
% 8.46/5.94 (trans(s269, s270)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5680, 5677, 51])).
% 8.46/5.94 tff(5682,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5683,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s269, s270)) | (~always3(s269)) | always3(s270))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5684,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s269, s270)) | (~always3(s269)) | always3(s270)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5683, 5682])).
% 8.46/5.94 tff(5685,plain,
% 8.46/5.94 ((~always3(s269)) | always3(s270)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5684, 68, 5681])).
% 8.46/5.94 tff(5686,plain,
% 8.46/5.94 (~always3(s269)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5685, 5674])).
% 8.46/5.94 tff(5687,plain,
% 8.46/5.94 (succ(s268, s269) <=> succ(s268, s269)),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5688,axiom,(succ(s268, s269)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound269')).
% 8.46/5.94 tff(5689,plain,
% 8.46/5.94 (succ(s268, s269)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5688, 5687])).
% 8.46/5.94 tff(5690,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5691,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s268, s269)) | trans(s268, s269))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5692,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s268, s269)) | trans(s268, s269)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5691, 5690])).
% 8.46/5.94 tff(5693,plain,
% 8.46/5.94 (trans(s268, s269)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5692, 5689, 51])).
% 8.46/5.94 tff(5694,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5695,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s268, s269)) | (~always3(s268)) | always3(s269))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5696,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s268, s269)) | (~always3(s268)) | always3(s269)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5695, 5694])).
% 8.46/5.94 tff(5697,plain,
% 8.46/5.94 ((~always3(s268)) | always3(s269)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5696, 68, 5693])).
% 8.46/5.94 tff(5698,plain,
% 8.46/5.94 (~always3(s268)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5697, 5686])).
% 8.46/5.94 tff(5699,plain,
% 8.46/5.94 (succ(s267, s268) <=> succ(s267, s268)),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5700,axiom,(succ(s267, s268)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound268')).
% 8.46/5.94 tff(5701,plain,
% 8.46/5.94 (succ(s267, s268)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5700, 5699])).
% 8.46/5.94 tff(5702,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5703,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s267, s268)) | trans(s267, s268))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5704,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s267, s268)) | trans(s267, s268)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5703, 5702])).
% 8.46/5.94 tff(5705,plain,
% 8.46/5.94 (trans(s267, s268)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5704, 5701, 51])).
% 8.46/5.94 tff(5706,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5707,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s267, s268)) | (~always3(s267)) | always3(s268))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5708,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s267, s268)) | (~always3(s267)) | always3(s268)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5707, 5706])).
% 8.46/5.94 tff(5709,plain,
% 8.46/5.94 ((~always3(s267)) | always3(s268)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5708, 68, 5705])).
% 8.46/5.94 tff(5710,plain,
% 8.46/5.94 (~always3(s267)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5709, 5698])).
% 8.46/5.94 tff(5711,plain,
% 8.46/5.94 (succ(s266, s267) <=> succ(s266, s267)),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5712,axiom,(succ(s266, s267)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound267')).
% 8.46/5.94 tff(5713,plain,
% 8.46/5.94 (succ(s266, s267)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5712, 5711])).
% 8.46/5.94 tff(5714,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5715,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s266, s267)) | trans(s266, s267))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5716,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s266, s267)) | trans(s266, s267)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5715, 5714])).
% 8.46/5.94 tff(5717,plain,
% 8.46/5.94 (trans(s266, s267)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5716, 5713, 51])).
% 8.46/5.94 tff(5718,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5719,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s266, s267)) | (~always3(s266)) | always3(s267))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5720,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s266, s267)) | (~always3(s266)) | always3(s267)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5719, 5718])).
% 8.46/5.94 tff(5721,plain,
% 8.46/5.94 ((~always3(s266)) | always3(s267)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5720, 68, 5717])).
% 8.46/5.94 tff(5722,plain,
% 8.46/5.94 (~always3(s266)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5721, 5710])).
% 8.46/5.94 tff(5723,plain,
% 8.46/5.94 (succ(s265, s266) <=> succ(s265, s266)),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5724,axiom,(succ(s265, s266)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound266')).
% 8.46/5.94 tff(5725,plain,
% 8.46/5.94 (succ(s265, s266)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5724, 5723])).
% 8.46/5.94 tff(5726,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5727,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s265, s266)) | trans(s265, s266))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5728,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s265, s266)) | trans(s265, s266)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5727, 5726])).
% 8.46/5.94 tff(5729,plain,
% 8.46/5.94 (trans(s265, s266)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5728, 5725, 51])).
% 8.46/5.94 tff(5730,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5731,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s265, s266)) | (~always3(s265)) | always3(s266))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5732,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s265, s266)) | (~always3(s265)) | always3(s266)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5731, 5730])).
% 8.46/5.94 tff(5733,plain,
% 8.46/5.94 ((~always3(s265)) | always3(s266)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5732, 68, 5729])).
% 8.46/5.94 tff(5734,plain,
% 8.46/5.94 (~always3(s265)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5733, 5722])).
% 8.46/5.94 tff(5735,plain,
% 8.46/5.94 (succ(s264, s265) <=> succ(s264, s265)),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5736,axiom,(succ(s264, s265)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound265')).
% 8.46/5.94 tff(5737,plain,
% 8.46/5.94 (succ(s264, s265)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5736, 5735])).
% 8.46/5.94 tff(5738,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5739,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s264, s265)) | trans(s264, s265))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5740,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s264, s265)) | trans(s264, s265)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5739, 5738])).
% 8.46/5.94 tff(5741,plain,
% 8.46/5.94 (trans(s264, s265)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5740, 5737, 51])).
% 8.46/5.94 tff(5742,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5743,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s264, s265)) | (~always3(s264)) | always3(s265))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5744,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s264, s265)) | (~always3(s264)) | always3(s265)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5743, 5742])).
% 8.46/5.94 tff(5745,plain,
% 8.46/5.94 ((~always3(s264)) | always3(s265)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5744, 68, 5741])).
% 8.46/5.94 tff(5746,plain,
% 8.46/5.94 (~always3(s264)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5745, 5734])).
% 8.46/5.94 tff(5747,plain,
% 8.46/5.94 (succ(s263, s264) <=> succ(s263, s264)),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5748,axiom,(succ(s263, s264)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound264')).
% 8.46/5.94 tff(5749,plain,
% 8.46/5.94 (succ(s263, s264)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5748, 5747])).
% 8.46/5.94 tff(5750,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5751,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s263, s264)) | trans(s263, s264))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5752,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s263, s264)) | trans(s263, s264)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5751, 5750])).
% 8.46/5.94 tff(5753,plain,
% 8.46/5.94 (trans(s263, s264)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5752, 5749, 51])).
% 8.46/5.94 tff(5754,plain,
% 8.46/5.94 (((~![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))),
% 8.46/5.94 inference(rewrite,[status(thm)],[])).
% 8.46/5.94 tff(5755,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s263, s264)) | (~always3(s263)) | always3(s264))),
% 8.46/5.94 inference(quant_inst,[status(thm)],[])).
% 8.46/5.94 tff(5756,plain,
% 8.46/5.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s263, s264)) | (~always3(s263)) | always3(s264)),
% 8.46/5.94 inference(modus_ponens,[status(thm)],[5755, 5754])).
% 8.46/5.94 tff(5757,plain,
% 8.46/5.94 ((~always3(s263)) | always3(s264)),
% 8.46/5.94 inference(unit_resolution,[status(thm)],[5756, 68, 5753])).
% 8.46/5.94 tff(5758,plain,
% 8.46/5.95 (~always3(s263)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5757, 5746])).
% 8.46/5.95 tff(5759,plain,
% 8.46/5.95 (succ(s262, s263) <=> succ(s262, s263)),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5760,axiom,(succ(s262, s263)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound263')).
% 8.46/5.95 tff(5761,plain,
% 8.46/5.95 (succ(s262, s263)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5760, 5759])).
% 8.46/5.95 tff(5762,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5763,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s262, s263)) | trans(s262, s263))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5764,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s262, s263)) | trans(s262, s263)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5763, 5762])).
% 8.46/5.95 tff(5765,plain,
% 8.46/5.95 (trans(s262, s263)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5764, 5761, 51])).
% 8.46/5.95 tff(5766,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5767,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s262, s263)) | (~always3(s262)) | always3(s263))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5768,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s262, s263)) | (~always3(s262)) | always3(s263)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5767, 5766])).
% 8.46/5.95 tff(5769,plain,
% 8.46/5.95 ((~always3(s262)) | always3(s263)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5768, 68, 5765])).
% 8.46/5.95 tff(5770,plain,
% 8.46/5.95 (~always3(s262)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5769, 5758])).
% 8.46/5.95 tff(5771,plain,
% 8.46/5.95 (succ(s261, s262) <=> succ(s261, s262)),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5772,axiom,(succ(s261, s262)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound262')).
% 8.46/5.95 tff(5773,plain,
% 8.46/5.95 (succ(s261, s262)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5772, 5771])).
% 8.46/5.95 tff(5774,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5775,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s261, s262)) | trans(s261, s262))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5776,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s261, s262)) | trans(s261, s262)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5775, 5774])).
% 8.46/5.95 tff(5777,plain,
% 8.46/5.95 (trans(s261, s262)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5776, 5773, 51])).
% 8.46/5.95 tff(5778,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5779,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s261, s262)) | (~always3(s261)) | always3(s262))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5780,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s261, s262)) | (~always3(s261)) | always3(s262)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5779, 5778])).
% 8.46/5.95 tff(5781,plain,
% 8.46/5.95 ((~always3(s261)) | always3(s262)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5780, 68, 5777])).
% 8.46/5.95 tff(5782,plain,
% 8.46/5.95 (~always3(s261)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5781, 5770])).
% 8.46/5.95 tff(5783,plain,
% 8.46/5.95 (succ(s260, s261) <=> succ(s260, s261)),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5784,axiom,(succ(s260, s261)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound261')).
% 8.46/5.95 tff(5785,plain,
% 8.46/5.95 (succ(s260, s261)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5784, 5783])).
% 8.46/5.95 tff(5786,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5787,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s260, s261)) | trans(s260, s261))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5788,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s260, s261)) | trans(s260, s261)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5787, 5786])).
% 8.46/5.95 tff(5789,plain,
% 8.46/5.95 (trans(s260, s261)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5788, 5785, 51])).
% 8.46/5.95 tff(5790,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5791,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s260, s261)) | (~always3(s260)) | always3(s261))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5792,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s260, s261)) | (~always3(s260)) | always3(s261)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5791, 5790])).
% 8.46/5.95 tff(5793,plain,
% 8.46/5.95 ((~always3(s260)) | always3(s261)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5792, 68, 5789])).
% 8.46/5.95 tff(5794,plain,
% 8.46/5.95 (~always3(s260)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5793, 5782])).
% 8.46/5.95 tff(5795,plain,
% 8.46/5.95 (succ(s259, s260) <=> succ(s259, s260)),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5796,axiom,(succ(s259, s260)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound260')).
% 8.46/5.95 tff(5797,plain,
% 8.46/5.95 (succ(s259, s260)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5796, 5795])).
% 8.46/5.95 tff(5798,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5799,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s259, s260)) | trans(s259, s260))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5800,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s259, s260)) | trans(s259, s260)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5799, 5798])).
% 8.46/5.95 tff(5801,plain,
% 8.46/5.95 (trans(s259, s260)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5800, 5797, 51])).
% 8.46/5.95 tff(5802,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5803,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s259, s260)) | (~always3(s259)) | always3(s260))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5804,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s259, s260)) | (~always3(s259)) | always3(s260)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5803, 5802])).
% 8.46/5.95 tff(5805,plain,
% 8.46/5.95 ((~always3(s259)) | always3(s260)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5804, 68, 5801])).
% 8.46/5.95 tff(5806,plain,
% 8.46/5.95 (~always3(s259)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5805, 5794])).
% 8.46/5.95 tff(5807,plain,
% 8.46/5.95 (succ(s258, s259) <=> succ(s258, s259)),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5808,axiom,(succ(s258, s259)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound259')).
% 8.46/5.95 tff(5809,plain,
% 8.46/5.95 (succ(s258, s259)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5808, 5807])).
% 8.46/5.95 tff(5810,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5811,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s258, s259)) | trans(s258, s259))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5812,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s258, s259)) | trans(s258, s259)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5811, 5810])).
% 8.46/5.95 tff(5813,plain,
% 8.46/5.95 (trans(s258, s259)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5812, 5809, 51])).
% 8.46/5.95 tff(5814,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5815,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s258, s259)) | (~always3(s258)) | always3(s259))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5816,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s258, s259)) | (~always3(s258)) | always3(s259)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5815, 5814])).
% 8.46/5.95 tff(5817,plain,
% 8.46/5.95 ((~always3(s258)) | always3(s259)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5816, 68, 5813])).
% 8.46/5.95 tff(5818,plain,
% 8.46/5.95 (~always3(s258)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5817, 5806])).
% 8.46/5.95 tff(5819,plain,
% 8.46/5.95 (succ(s257, s258) <=> succ(s257, s258)),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5820,axiom,(succ(s257, s258)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound258')).
% 8.46/5.95 tff(5821,plain,
% 8.46/5.95 (succ(s257, s258)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5820, 5819])).
% 8.46/5.95 tff(5822,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5823,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s257, s258)) | trans(s257, s258))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5824,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s257, s258)) | trans(s257, s258)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5823, 5822])).
% 8.46/5.95 tff(5825,plain,
% 8.46/5.95 (trans(s257, s258)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5824, 5821, 51])).
% 8.46/5.95 tff(5826,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5827,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s257, s258)) | (~always3(s257)) | always3(s258))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5828,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s257, s258)) | (~always3(s257)) | always3(s258)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5827, 5826])).
% 8.46/5.95 tff(5829,plain,
% 8.46/5.95 ((~always3(s257)) | always3(s258)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5828, 68, 5825])).
% 8.46/5.95 tff(5830,plain,
% 8.46/5.95 (~always3(s257)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5829, 5818])).
% 8.46/5.95 tff(5831,plain,
% 8.46/5.95 (succ(s256, s257) <=> succ(s256, s257)),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5832,axiom,(succ(s256, s257)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound257')).
% 8.46/5.95 tff(5833,plain,
% 8.46/5.95 (succ(s256, s257)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5832, 5831])).
% 8.46/5.95 tff(5834,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5835,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s256, s257)) | trans(s256, s257))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5836,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s256, s257)) | trans(s256, s257)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5835, 5834])).
% 8.46/5.95 tff(5837,plain,
% 8.46/5.95 (trans(s256, s257)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5836, 5833, 51])).
% 8.46/5.95 tff(5838,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5839,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s256, s257)) | (~always3(s256)) | always3(s257))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5840,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s256, s257)) | (~always3(s256)) | always3(s257)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5839, 5838])).
% 8.46/5.95 tff(5841,plain,
% 8.46/5.95 ((~always3(s256)) | always3(s257)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5840, 68, 5837])).
% 8.46/5.95 tff(5842,plain,
% 8.46/5.95 (~always3(s256)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5841, 5830])).
% 8.46/5.95 tff(5843,plain,
% 8.46/5.95 (succ(s255, s256) <=> succ(s255, s256)),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5844,axiom,(succ(s255, s256)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound256')).
% 8.46/5.95 tff(5845,plain,
% 8.46/5.95 (succ(s255, s256)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5844, 5843])).
% 8.46/5.95 tff(5846,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5847,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s255, s256)) | trans(s255, s256))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5848,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s255, s256)) | trans(s255, s256)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5847, 5846])).
% 8.46/5.95 tff(5849,plain,
% 8.46/5.95 (trans(s255, s256)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5848, 5845, 51])).
% 8.46/5.95 tff(5850,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5851,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s255, s256)) | (~always3(s255)) | always3(s256))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5852,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s255, s256)) | (~always3(s255)) | always3(s256)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5851, 5850])).
% 8.46/5.95 tff(5853,plain,
% 8.46/5.95 ((~always3(s255)) | always3(s256)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5852, 68, 5849])).
% 8.46/5.95 tff(5854,plain,
% 8.46/5.95 (~always3(s255)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5853, 5842])).
% 8.46/5.95 tff(5855,plain,
% 8.46/5.95 (succ(s254, s255) <=> succ(s254, s255)),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5856,axiom,(succ(s254, s255)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound255')).
% 8.46/5.95 tff(5857,plain,
% 8.46/5.95 (succ(s254, s255)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5856, 5855])).
% 8.46/5.95 tff(5858,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5859,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s254, s255)) | trans(s254, s255))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5860,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s254, s255)) | trans(s254, s255)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5859, 5858])).
% 8.46/5.95 tff(5861,plain,
% 8.46/5.95 (trans(s254, s255)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5860, 5857, 51])).
% 8.46/5.95 tff(5862,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5863,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s254, s255)) | (~always3(s254)) | always3(s255))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5864,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s254, s255)) | (~always3(s254)) | always3(s255)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5863, 5862])).
% 8.46/5.95 tff(5865,plain,
% 8.46/5.95 ((~always3(s254)) | always3(s255)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5864, 68, 5861])).
% 8.46/5.95 tff(5866,plain,
% 8.46/5.95 (~always3(s254)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5865, 5854])).
% 8.46/5.95 tff(5867,plain,
% 8.46/5.95 (~always3(s253)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5092, 5866])).
% 8.46/5.95 tff(5868,plain,
% 8.46/5.95 (succ(s252, s253) <=> succ(s252, s253)),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5869,axiom,(succ(s252, s253)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound253')).
% 8.46/5.95 tff(5870,plain,
% 8.46/5.95 (succ(s252, s253)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5869, 5868])).
% 8.46/5.95 tff(5871,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5872,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s252, s253)) | trans(s252, s253))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5873,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s252, s253)) | trans(s252, s253)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5872, 5871])).
% 8.46/5.95 tff(5874,plain,
% 8.46/5.95 (trans(s252, s253)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5873, 5870, 51])).
% 8.46/5.95 tff(5875,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5876,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s252, s253)) | (~always3(s252)) | always3(s253))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5877,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s252, s253)) | (~always3(s252)) | always3(s253)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5876, 5875])).
% 8.46/5.95 tff(5878,plain,
% 8.46/5.95 ((~always3(s252)) | always3(s253)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5877, 68, 5874])).
% 8.46/5.95 tff(5879,plain,
% 8.46/5.95 (~always3(s252)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5878, 5867])).
% 8.46/5.95 tff(5880,plain,
% 8.46/5.95 (succ(s251, s252) <=> succ(s251, s252)),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5881,axiom,(succ(s251, s252)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound252')).
% 8.46/5.95 tff(5882,plain,
% 8.46/5.95 (succ(s251, s252)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5881, 5880])).
% 8.46/5.95 tff(5883,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5884,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s251, s252)) | trans(s251, s252))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5885,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s251, s252)) | trans(s251, s252)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5884, 5883])).
% 8.46/5.95 tff(5886,plain,
% 8.46/5.95 (trans(s251, s252)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5885, 5882, 51])).
% 8.46/5.95 tff(5887,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5888,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s251, s252)) | (~always3(s251)) | always3(s252))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5889,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s251, s252)) | (~always3(s251)) | always3(s252)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5888, 5887])).
% 8.46/5.95 tff(5890,plain,
% 8.46/5.95 ((~always3(s251)) | always3(s252)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5889, 68, 5886])).
% 8.46/5.95 tff(5891,plain,
% 8.46/5.95 (~always3(s251)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5890, 5879])).
% 8.46/5.95 tff(5892,plain,
% 8.46/5.95 (succ(s250, s251) <=> succ(s250, s251)),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5893,axiom,(succ(s250, s251)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound251')).
% 8.46/5.95 tff(5894,plain,
% 8.46/5.95 (succ(s250, s251)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5893, 5892])).
% 8.46/5.95 tff(5895,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5896,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s250, s251)) | trans(s250, s251))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5897,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s250, s251)) | trans(s250, s251)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5896, 5895])).
% 8.46/5.95 tff(5898,plain,
% 8.46/5.95 (trans(s250, s251)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5897, 5894, 51])).
% 8.46/5.95 tff(5899,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5900,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s250, s251)) | (~always3(s250)) | always3(s251))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5901,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s250, s251)) | (~always3(s250)) | always3(s251)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5900, 5899])).
% 8.46/5.95 tff(5902,plain,
% 8.46/5.95 ((~always3(s250)) | always3(s251)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5901, 68, 5898])).
% 8.46/5.95 tff(5903,plain,
% 8.46/5.95 (~always3(s250)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5902, 5891])).
% 8.46/5.95 tff(5904,plain,
% 8.46/5.95 (succ(s249, s250) <=> succ(s249, s250)),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5905,axiom,(succ(s249, s250)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound250')).
% 8.46/5.95 tff(5906,plain,
% 8.46/5.95 (succ(s249, s250)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5905, 5904])).
% 8.46/5.95 tff(5907,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5908,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s249, s250)) | trans(s249, s250))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5909,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s249, s250)) | trans(s249, s250)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5908, 5907])).
% 8.46/5.95 tff(5910,plain,
% 8.46/5.95 (trans(s249, s250)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5909, 5906, 51])).
% 8.46/5.95 tff(5911,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5912,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s249, s250)) | (~always3(s249)) | always3(s250))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5913,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s249, s250)) | (~always3(s249)) | always3(s250)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5912, 5911])).
% 8.46/5.95 tff(5914,plain,
% 8.46/5.95 ((~always3(s249)) | always3(s250)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5913, 68, 5910])).
% 8.46/5.95 tff(5915,plain,
% 8.46/5.95 (~always3(s249)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5914, 5903])).
% 8.46/5.95 tff(5916,plain,
% 8.46/5.95 (succ(s248, s249) <=> succ(s248, s249)),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5917,axiom,(succ(s248, s249)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound249')).
% 8.46/5.95 tff(5918,plain,
% 8.46/5.95 (succ(s248, s249)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5917, 5916])).
% 8.46/5.95 tff(5919,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5920,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s248, s249)) | trans(s248, s249))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5921,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s248, s249)) | trans(s248, s249)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5920, 5919])).
% 8.46/5.95 tff(5922,plain,
% 8.46/5.95 (trans(s248, s249)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5921, 5918, 51])).
% 8.46/5.95 tff(5923,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5924,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s248, s249)) | (~always3(s248)) | always3(s249))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5925,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s248, s249)) | (~always3(s248)) | always3(s249)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5924, 5923])).
% 8.46/5.95 tff(5926,plain,
% 8.46/5.95 ((~always3(s248)) | always3(s249)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5925, 68, 5922])).
% 8.46/5.95 tff(5927,plain,
% 8.46/5.95 (~always3(s248)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5926, 5915])).
% 8.46/5.95 tff(5928,plain,
% 8.46/5.95 (succ(s247, s248) <=> succ(s247, s248)),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5929,axiom,(succ(s247, s248)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound248')).
% 8.46/5.95 tff(5930,plain,
% 8.46/5.95 (succ(s247, s248)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5929, 5928])).
% 8.46/5.95 tff(5931,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5932,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s247, s248)) | trans(s247, s248))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5933,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s247, s248)) | trans(s247, s248)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5932, 5931])).
% 8.46/5.95 tff(5934,plain,
% 8.46/5.95 (trans(s247, s248)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5933, 5930, 51])).
% 8.46/5.95 tff(5935,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5936,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s247, s248)) | (~always3(s247)) | always3(s248))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5937,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s247, s248)) | (~always3(s247)) | always3(s248)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5936, 5935])).
% 8.46/5.95 tff(5938,plain,
% 8.46/5.95 ((~always3(s247)) | always3(s248)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5937, 68, 5934])).
% 8.46/5.95 tff(5939,plain,
% 8.46/5.95 (~always3(s247)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5938, 5927])).
% 8.46/5.95 tff(5940,plain,
% 8.46/5.95 (succ(s246, s247) <=> succ(s246, s247)),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5941,axiom,(succ(s246, s247)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound247')).
% 8.46/5.95 tff(5942,plain,
% 8.46/5.95 (succ(s246, s247)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5941, 5940])).
% 8.46/5.95 tff(5943,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5944,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s246, s247)) | trans(s246, s247))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5945,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s246, s247)) | trans(s246, s247)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5944, 5943])).
% 8.46/5.95 tff(5946,plain,
% 8.46/5.95 (trans(s246, s247)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5945, 5942, 51])).
% 8.46/5.95 tff(5947,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5948,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s246, s247)) | (~always3(s246)) | always3(s247))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5949,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s246, s247)) | (~always3(s246)) | always3(s247)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5948, 5947])).
% 8.46/5.95 tff(5950,plain,
% 8.46/5.95 ((~always3(s246)) | always3(s247)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5949, 68, 5946])).
% 8.46/5.95 tff(5951,plain,
% 8.46/5.95 (~always3(s246)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5950, 5939])).
% 8.46/5.95 tff(5952,plain,
% 8.46/5.95 (succ(s245, s246) <=> succ(s245, s246)),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5953,axiom,(succ(s245, s246)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound246')).
% 8.46/5.95 tff(5954,plain,
% 8.46/5.95 (succ(s245, s246)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5953, 5952])).
% 8.46/5.95 tff(5955,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5956,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s245, s246)) | trans(s245, s246))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5957,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s245, s246)) | trans(s245, s246)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5956, 5955])).
% 8.46/5.95 tff(5958,plain,
% 8.46/5.95 (trans(s245, s246)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5957, 5954, 51])).
% 8.46/5.95 tff(5959,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5960,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s245, s246)) | (~always3(s245)) | always3(s246))),
% 8.46/5.95 inference(quant_inst,[status(thm)],[])).
% 8.46/5.95 tff(5961,plain,
% 8.46/5.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s245, s246)) | (~always3(s245)) | always3(s246)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5960, 5959])).
% 8.46/5.95 tff(5962,plain,
% 8.46/5.95 ((~always3(s245)) | always3(s246)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5961, 68, 5958])).
% 8.46/5.95 tff(5963,plain,
% 8.46/5.95 (~always3(s245)),
% 8.46/5.95 inference(unit_resolution,[status(thm)],[5962, 5951])).
% 8.46/5.95 tff(5964,plain,
% 8.46/5.95 (succ(s244, s245) <=> succ(s244, s245)),
% 8.46/5.95 inference(rewrite,[status(thm)],[])).
% 8.46/5.95 tff(5965,axiom,(succ(s244, s245)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound245')).
% 8.46/5.95 tff(5966,plain,
% 8.46/5.95 (succ(s244, s245)),
% 8.46/5.95 inference(modus_ponens,[status(thm)],[5965, 5964])).
% 8.46/5.95 tff(5967,plain,
% 8.46/5.95 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(5968,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s244, s245)) | trans(s244, s245))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(5969,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s244, s245)) | trans(s244, s245)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[5968, 5967])).
% 8.46/5.96 tff(5970,plain,
% 8.46/5.96 (trans(s244, s245)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[5969, 5966, 51])).
% 8.46/5.96 tff(5971,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(5972,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s244, s245)) | (~always3(s244)) | always3(s245))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(5973,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s244, s245)) | (~always3(s244)) | always3(s245)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[5972, 5971])).
% 8.46/5.96 tff(5974,plain,
% 8.46/5.96 ((~always3(s244)) | always3(s245)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[5973, 68, 5970])).
% 8.46/5.96 tff(5975,plain,
% 8.46/5.96 (~always3(s244)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[5974, 5963])).
% 8.46/5.96 tff(5976,plain,
% 8.46/5.96 (succ(s243, s244) <=> succ(s243, s244)),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(5977,axiom,(succ(s243, s244)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound244')).
% 8.46/5.96 tff(5978,plain,
% 8.46/5.96 (succ(s243, s244)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[5977, 5976])).
% 8.46/5.96 tff(5979,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(5980,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s243, s244)) | trans(s243, s244))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(5981,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s243, s244)) | trans(s243, s244)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[5980, 5979])).
% 8.46/5.96 tff(5982,plain,
% 8.46/5.96 (trans(s243, s244)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[5981, 5978, 51])).
% 8.46/5.96 tff(5983,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(5984,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s243, s244)) | (~always3(s243)) | always3(s244))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(5985,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s243, s244)) | (~always3(s243)) | always3(s244)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[5984, 5983])).
% 8.46/5.96 tff(5986,plain,
% 8.46/5.96 ((~always3(s243)) | always3(s244)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[5985, 68, 5982])).
% 8.46/5.96 tff(5987,plain,
% 8.46/5.96 (~always3(s243)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[5986, 5975])).
% 8.46/5.96 tff(5988,plain,
% 8.46/5.96 (succ(s242, s243) <=> succ(s242, s243)),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(5989,axiom,(succ(s242, s243)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound243')).
% 8.46/5.96 tff(5990,plain,
% 8.46/5.96 (succ(s242, s243)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[5989, 5988])).
% 8.46/5.96 tff(5991,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(5992,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s242, s243)) | trans(s242, s243))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(5993,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s242, s243)) | trans(s242, s243)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[5992, 5991])).
% 8.46/5.96 tff(5994,plain,
% 8.46/5.96 (trans(s242, s243)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[5993, 5990, 51])).
% 8.46/5.96 tff(5995,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(5996,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s242, s243)) | (~always3(s242)) | always3(s243))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(5997,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s242, s243)) | (~always3(s242)) | always3(s243)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[5996, 5995])).
% 8.46/5.96 tff(5998,plain,
% 8.46/5.96 ((~always3(s242)) | always3(s243)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[5997, 68, 5994])).
% 8.46/5.96 tff(5999,plain,
% 8.46/5.96 (~always3(s242)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[5998, 5987])).
% 8.46/5.96 tff(6000,plain,
% 8.46/5.96 (succ(s241, s242) <=> succ(s241, s242)),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6001,axiom,(succ(s241, s242)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound242')).
% 8.46/5.96 tff(6002,plain,
% 8.46/5.96 (succ(s241, s242)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6001, 6000])).
% 8.46/5.96 tff(6003,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6004,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s241, s242)) | trans(s241, s242))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6005,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s241, s242)) | trans(s241, s242)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6004, 6003])).
% 8.46/5.96 tff(6006,plain,
% 8.46/5.96 (trans(s241, s242)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6005, 6002, 51])).
% 8.46/5.96 tff(6007,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6008,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s241, s242)) | (~always3(s241)) | always3(s242))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6009,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s241, s242)) | (~always3(s241)) | always3(s242)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6008, 6007])).
% 8.46/5.96 tff(6010,plain,
% 8.46/5.96 ((~always3(s241)) | always3(s242)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6009, 68, 6006])).
% 8.46/5.96 tff(6011,plain,
% 8.46/5.96 (~always3(s241)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6010, 5999])).
% 8.46/5.96 tff(6012,plain,
% 8.46/5.96 (succ(s240, s241) <=> succ(s240, s241)),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6013,axiom,(succ(s240, s241)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound241')).
% 8.46/5.96 tff(6014,plain,
% 8.46/5.96 (succ(s240, s241)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6013, 6012])).
% 8.46/5.96 tff(6015,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6016,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s240, s241)) | trans(s240, s241))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6017,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s240, s241)) | trans(s240, s241)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6016, 6015])).
% 8.46/5.96 tff(6018,plain,
% 8.46/5.96 (trans(s240, s241)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6017, 6014, 51])).
% 8.46/5.96 tff(6019,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6020,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s240, s241)) | (~always3(s240)) | always3(s241))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6021,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s240, s241)) | (~always3(s240)) | always3(s241)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6020, 6019])).
% 8.46/5.96 tff(6022,plain,
% 8.46/5.96 ((~always3(s240)) | always3(s241)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6021, 68, 6018])).
% 8.46/5.96 tff(6023,plain,
% 8.46/5.96 (~always3(s240)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6022, 6011])).
% 8.46/5.96 tff(6024,plain,
% 8.46/5.96 (succ(s239, s240) <=> succ(s239, s240)),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6025,axiom,(succ(s239, s240)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound240')).
% 8.46/5.96 tff(6026,plain,
% 8.46/5.96 (succ(s239, s240)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6025, 6024])).
% 8.46/5.96 tff(6027,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6028,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s239, s240)) | trans(s239, s240))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6029,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s239, s240)) | trans(s239, s240)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6028, 6027])).
% 8.46/5.96 tff(6030,plain,
% 8.46/5.96 (trans(s239, s240)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6029, 6026, 51])).
% 8.46/5.96 tff(6031,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6032,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s239, s240)) | (~always3(s239)) | always3(s240))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6033,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s239, s240)) | (~always3(s239)) | always3(s240)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6032, 6031])).
% 8.46/5.96 tff(6034,plain,
% 8.46/5.96 ((~always3(s239)) | always3(s240)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6033, 68, 6030])).
% 8.46/5.96 tff(6035,plain,
% 8.46/5.96 (~always3(s239)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6034, 6023])).
% 8.46/5.96 tff(6036,plain,
% 8.46/5.96 (succ(s238, s239) <=> succ(s238, s239)),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6037,axiom,(succ(s238, s239)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound239')).
% 8.46/5.96 tff(6038,plain,
% 8.46/5.96 (succ(s238, s239)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6037, 6036])).
% 8.46/5.96 tff(6039,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6040,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s238, s239)) | trans(s238, s239))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6041,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s238, s239)) | trans(s238, s239)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6040, 6039])).
% 8.46/5.96 tff(6042,plain,
% 8.46/5.96 (trans(s238, s239)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6041, 6038, 51])).
% 8.46/5.96 tff(6043,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6044,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s238, s239)) | (~always3(s238)) | always3(s239))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6045,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s238, s239)) | (~always3(s238)) | always3(s239)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6044, 6043])).
% 8.46/5.96 tff(6046,plain,
% 8.46/5.96 ((~always3(s238)) | always3(s239)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6045, 68, 6042])).
% 8.46/5.96 tff(6047,plain,
% 8.46/5.96 (~always3(s238)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6046, 6035])).
% 8.46/5.96 tff(6048,plain,
% 8.46/5.96 (succ(s237, s238) <=> succ(s237, s238)),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6049,axiom,(succ(s237, s238)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound238')).
% 8.46/5.96 tff(6050,plain,
% 8.46/5.96 (succ(s237, s238)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6049, 6048])).
% 8.46/5.96 tff(6051,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6052,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s237, s238)) | trans(s237, s238))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6053,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s237, s238)) | trans(s237, s238)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6052, 6051])).
% 8.46/5.96 tff(6054,plain,
% 8.46/5.96 (trans(s237, s238)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6053, 6050, 51])).
% 8.46/5.96 tff(6055,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6056,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s237, s238)) | (~always3(s237)) | always3(s238))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6057,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s237, s238)) | (~always3(s237)) | always3(s238)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6056, 6055])).
% 8.46/5.96 tff(6058,plain,
% 8.46/5.96 ((~always3(s237)) | always3(s238)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6057, 68, 6054])).
% 8.46/5.96 tff(6059,plain,
% 8.46/5.96 (~always3(s237)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6058, 6047])).
% 8.46/5.96 tff(6060,plain,
% 8.46/5.96 (succ(s236, s237) <=> succ(s236, s237)),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6061,axiom,(succ(s236, s237)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound237')).
% 8.46/5.96 tff(6062,plain,
% 8.46/5.96 (succ(s236, s237)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6061, 6060])).
% 8.46/5.96 tff(6063,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6064,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s236, s237)) | trans(s236, s237))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6065,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s236, s237)) | trans(s236, s237)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6064, 6063])).
% 8.46/5.96 tff(6066,plain,
% 8.46/5.96 (trans(s236, s237)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6065, 6062, 51])).
% 8.46/5.96 tff(6067,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6068,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s236, s237)) | (~always3(s236)) | always3(s237))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6069,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s236, s237)) | (~always3(s236)) | always3(s237)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6068, 6067])).
% 8.46/5.96 tff(6070,plain,
% 8.46/5.96 ((~always3(s236)) | always3(s237)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6069, 68, 6066])).
% 8.46/5.96 tff(6071,plain,
% 8.46/5.96 (~always3(s236)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6070, 6059])).
% 8.46/5.96 tff(6072,plain,
% 8.46/5.96 (succ(s235, s236) <=> succ(s235, s236)),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6073,axiom,(succ(s235, s236)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound236')).
% 8.46/5.96 tff(6074,plain,
% 8.46/5.96 (succ(s235, s236)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6073, 6072])).
% 8.46/5.96 tff(6075,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6076,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s235, s236)) | trans(s235, s236))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6077,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s235, s236)) | trans(s235, s236)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6076, 6075])).
% 8.46/5.96 tff(6078,plain,
% 8.46/5.96 (trans(s235, s236)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6077, 6074, 51])).
% 8.46/5.96 tff(6079,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6080,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s235, s236)) | (~always3(s235)) | always3(s236))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6081,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s235, s236)) | (~always3(s235)) | always3(s236)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6080, 6079])).
% 8.46/5.96 tff(6082,plain,
% 8.46/5.96 ((~always3(s235)) | always3(s236)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6081, 68, 6078])).
% 8.46/5.96 tff(6083,plain,
% 8.46/5.96 (~always3(s235)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6082, 6071])).
% 8.46/5.96 tff(6084,plain,
% 8.46/5.96 (succ(s234, s235) <=> succ(s234, s235)),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6085,axiom,(succ(s234, s235)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound235')).
% 8.46/5.96 tff(6086,plain,
% 8.46/5.96 (succ(s234, s235)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6085, 6084])).
% 8.46/5.96 tff(6087,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6088,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s234, s235)) | trans(s234, s235))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6089,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s234, s235)) | trans(s234, s235)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6088, 6087])).
% 8.46/5.96 tff(6090,plain,
% 8.46/5.96 (trans(s234, s235)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6089, 6086, 51])).
% 8.46/5.96 tff(6091,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6092,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s234, s235)) | (~always3(s234)) | always3(s235))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6093,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s234, s235)) | (~always3(s234)) | always3(s235)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6092, 6091])).
% 8.46/5.96 tff(6094,plain,
% 8.46/5.96 ((~always3(s234)) | always3(s235)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6093, 68, 6090])).
% 8.46/5.96 tff(6095,plain,
% 8.46/5.96 (~always3(s234)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6094, 6083])).
% 8.46/5.96 tff(6096,plain,
% 8.46/5.96 (succ(s233, s234) <=> succ(s233, s234)),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6097,axiom,(succ(s233, s234)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound234')).
% 8.46/5.96 tff(6098,plain,
% 8.46/5.96 (succ(s233, s234)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6097, 6096])).
% 8.46/5.96 tff(6099,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6100,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s233, s234)) | trans(s233, s234))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6101,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s233, s234)) | trans(s233, s234)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6100, 6099])).
% 8.46/5.96 tff(6102,plain,
% 8.46/5.96 (trans(s233, s234)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6101, 6098, 51])).
% 8.46/5.96 tff(6103,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6104,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s233, s234)) | (~always3(s233)) | always3(s234))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6105,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s233, s234)) | (~always3(s233)) | always3(s234)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6104, 6103])).
% 8.46/5.96 tff(6106,plain,
% 8.46/5.96 ((~always3(s233)) | always3(s234)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6105, 68, 6102])).
% 8.46/5.96 tff(6107,plain,
% 8.46/5.96 (~always3(s233)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6106, 6095])).
% 8.46/5.96 tff(6108,plain,
% 8.46/5.96 (succ(s232, s233) <=> succ(s232, s233)),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6109,axiom,(succ(s232, s233)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound233')).
% 8.46/5.96 tff(6110,plain,
% 8.46/5.96 (succ(s232, s233)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6109, 6108])).
% 8.46/5.96 tff(6111,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6112,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s232, s233)) | trans(s232, s233))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6113,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s232, s233)) | trans(s232, s233)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6112, 6111])).
% 8.46/5.96 tff(6114,plain,
% 8.46/5.96 (trans(s232, s233)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6113, 6110, 51])).
% 8.46/5.96 tff(6115,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6116,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s232, s233)) | (~always3(s232)) | always3(s233))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6117,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s232, s233)) | (~always3(s232)) | always3(s233)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6116, 6115])).
% 8.46/5.96 tff(6118,plain,
% 8.46/5.96 ((~always3(s232)) | always3(s233)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6117, 68, 6114])).
% 8.46/5.96 tff(6119,plain,
% 8.46/5.96 (~always3(s232)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6118, 6107])).
% 8.46/5.96 tff(6120,plain,
% 8.46/5.96 (succ(s231, s232) <=> succ(s231, s232)),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6121,axiom,(succ(s231, s232)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound232')).
% 8.46/5.96 tff(6122,plain,
% 8.46/5.96 (succ(s231, s232)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6121, 6120])).
% 8.46/5.96 tff(6123,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6124,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s231, s232)) | trans(s231, s232))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6125,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s231, s232)) | trans(s231, s232)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6124, 6123])).
% 8.46/5.96 tff(6126,plain,
% 8.46/5.96 (trans(s231, s232)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6125, 6122, 51])).
% 8.46/5.96 tff(6127,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6128,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s231, s232)) | (~always3(s231)) | always3(s232))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6129,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s231, s232)) | (~always3(s231)) | always3(s232)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6128, 6127])).
% 8.46/5.96 tff(6130,plain,
% 8.46/5.96 ((~always3(s231)) | always3(s232)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6129, 68, 6126])).
% 8.46/5.96 tff(6131,plain,
% 8.46/5.96 (~always3(s231)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6130, 6119])).
% 8.46/5.96 tff(6132,plain,
% 8.46/5.96 (succ(s230, s231) <=> succ(s230, s231)),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6133,axiom,(succ(s230, s231)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound231')).
% 8.46/5.96 tff(6134,plain,
% 8.46/5.96 (succ(s230, s231)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6133, 6132])).
% 8.46/5.96 tff(6135,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6136,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s230, s231)) | trans(s230, s231))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6137,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s230, s231)) | trans(s230, s231)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6136, 6135])).
% 8.46/5.96 tff(6138,plain,
% 8.46/5.96 (trans(s230, s231)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6137, 6134, 51])).
% 8.46/5.96 tff(6139,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6140,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s230, s231)) | (~always3(s230)) | always3(s231))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6141,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s230, s231)) | (~always3(s230)) | always3(s231)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6140, 6139])).
% 8.46/5.96 tff(6142,plain,
% 8.46/5.96 ((~always3(s230)) | always3(s231)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6141, 68, 6138])).
% 8.46/5.96 tff(6143,plain,
% 8.46/5.96 (~always3(s230)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6142, 6131])).
% 8.46/5.96 tff(6144,plain,
% 8.46/5.96 (succ(s229, s230) <=> succ(s229, s230)),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6145,axiom,(succ(s229, s230)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound230')).
% 8.46/5.96 tff(6146,plain,
% 8.46/5.96 (succ(s229, s230)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6145, 6144])).
% 8.46/5.96 tff(6147,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6148,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s229, s230)) | trans(s229, s230))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6149,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s229, s230)) | trans(s229, s230)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6148, 6147])).
% 8.46/5.96 tff(6150,plain,
% 8.46/5.96 (trans(s229, s230)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6149, 6146, 51])).
% 8.46/5.96 tff(6151,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6152,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s229, s230)) | (~always3(s229)) | always3(s230))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6153,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s229, s230)) | (~always3(s229)) | always3(s230)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6152, 6151])).
% 8.46/5.96 tff(6154,plain,
% 8.46/5.96 ((~always3(s229)) | always3(s230)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6153, 68, 6150])).
% 8.46/5.96 tff(6155,plain,
% 8.46/5.96 (~always3(s229)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6154, 6143])).
% 8.46/5.96 tff(6156,plain,
% 8.46/5.96 (succ(s228, s229) <=> succ(s228, s229)),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6157,axiom,(succ(s228, s229)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound229')).
% 8.46/5.96 tff(6158,plain,
% 8.46/5.96 (succ(s228, s229)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6157, 6156])).
% 8.46/5.96 tff(6159,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6160,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s228, s229)) | trans(s228, s229))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6161,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s228, s229)) | trans(s228, s229)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6160, 6159])).
% 8.46/5.96 tff(6162,plain,
% 8.46/5.96 (trans(s228, s229)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6161, 6158, 51])).
% 8.46/5.96 tff(6163,plain,
% 8.46/5.96 (((~![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))),
% 8.46/5.96 inference(rewrite,[status(thm)],[])).
% 8.46/5.96 tff(6164,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s228, s229)) | (~always3(s228)) | always3(s229))),
% 8.46/5.96 inference(quant_inst,[status(thm)],[])).
% 8.46/5.96 tff(6165,plain,
% 8.46/5.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s228, s229)) | (~always3(s228)) | always3(s229)),
% 8.46/5.96 inference(modus_ponens,[status(thm)],[6164, 6163])).
% 8.46/5.96 tff(6166,plain,
% 8.46/5.96 ((~always3(s228)) | always3(s229)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6165, 68, 6162])).
% 8.46/5.96 tff(6167,plain,
% 8.46/5.96 (~always3(s228)),
% 8.46/5.96 inference(unit_resolution,[status(thm)],[6166, 6155])).
% 8.46/5.96 tff(6168,plain,
% 8.46/5.96 (succ(s227, s228) <=> succ(s227, s228)),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6169,axiom,(succ(s227, s228)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound228')).
% 8.46/5.97 tff(6170,plain,
% 8.46/5.97 (succ(s227, s228)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6169, 6168])).
% 8.46/5.97 tff(6171,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6172,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s227, s228)) | trans(s227, s228))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6173,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s227, s228)) | trans(s227, s228)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6172, 6171])).
% 8.46/5.97 tff(6174,plain,
% 8.46/5.97 (trans(s227, s228)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6173, 6170, 51])).
% 8.46/5.97 tff(6175,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6176,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s227, s228)) | (~always3(s227)) | always3(s228))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6177,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s227, s228)) | (~always3(s227)) | always3(s228)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6176, 6175])).
% 8.46/5.97 tff(6178,plain,
% 8.46/5.97 ((~always3(s227)) | always3(s228)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6177, 68, 6174])).
% 8.46/5.97 tff(6179,plain,
% 8.46/5.97 (~always3(s227)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6178, 6167])).
% 8.46/5.97 tff(6180,plain,
% 8.46/5.97 (succ(s226, s227) <=> succ(s226, s227)),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6181,axiom,(succ(s226, s227)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound227')).
% 8.46/5.97 tff(6182,plain,
% 8.46/5.97 (succ(s226, s227)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6181, 6180])).
% 8.46/5.97 tff(6183,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6184,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s226, s227)) | trans(s226, s227))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6185,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s226, s227)) | trans(s226, s227)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6184, 6183])).
% 8.46/5.97 tff(6186,plain,
% 8.46/5.97 (trans(s226, s227)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6185, 6182, 51])).
% 8.46/5.97 tff(6187,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6188,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s226, s227)) | (~always3(s226)) | always3(s227))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6189,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s226, s227)) | (~always3(s226)) | always3(s227)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6188, 6187])).
% 8.46/5.97 tff(6190,plain,
% 8.46/5.97 ((~always3(s226)) | always3(s227)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6189, 68, 6186])).
% 8.46/5.97 tff(6191,plain,
% 8.46/5.97 (~always3(s226)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6190, 6179])).
% 8.46/5.97 tff(6192,plain,
% 8.46/5.97 (succ(s225, s226) <=> succ(s225, s226)),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6193,axiom,(succ(s225, s226)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound226')).
% 8.46/5.97 tff(6194,plain,
% 8.46/5.97 (succ(s225, s226)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6193, 6192])).
% 8.46/5.97 tff(6195,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6196,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s225, s226)) | trans(s225, s226))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6197,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s225, s226)) | trans(s225, s226)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6196, 6195])).
% 8.46/5.97 tff(6198,plain,
% 8.46/5.97 (trans(s225, s226)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6197, 6194, 51])).
% 8.46/5.97 tff(6199,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6200,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s225, s226)) | (~always3(s225)) | always3(s226))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6201,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s225, s226)) | (~always3(s225)) | always3(s226)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6200, 6199])).
% 8.46/5.97 tff(6202,plain,
% 8.46/5.97 ((~always3(s225)) | always3(s226)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6201, 68, 6198])).
% 8.46/5.97 tff(6203,plain,
% 8.46/5.97 (~always3(s225)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6202, 6191])).
% 8.46/5.97 tff(6204,plain,
% 8.46/5.97 (succ(s224, s225) <=> succ(s224, s225)),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6205,axiom,(succ(s224, s225)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound225')).
% 8.46/5.97 tff(6206,plain,
% 8.46/5.97 (succ(s224, s225)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6205, 6204])).
% 8.46/5.97 tff(6207,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6208,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s224, s225)) | trans(s224, s225))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6209,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s224, s225)) | trans(s224, s225)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6208, 6207])).
% 8.46/5.97 tff(6210,plain,
% 8.46/5.97 (trans(s224, s225)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6209, 6206, 51])).
% 8.46/5.97 tff(6211,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6212,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s224, s225)) | (~always3(s224)) | always3(s225))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6213,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s224, s225)) | (~always3(s224)) | always3(s225)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6212, 6211])).
% 8.46/5.97 tff(6214,plain,
% 8.46/5.97 ((~always3(s224)) | always3(s225)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6213, 68, 6210])).
% 8.46/5.97 tff(6215,plain,
% 8.46/5.97 (~always3(s224)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6214, 6203])).
% 8.46/5.97 tff(6216,plain,
% 8.46/5.97 (succ(s223, s224) <=> succ(s223, s224)),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6217,axiom,(succ(s223, s224)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound224')).
% 8.46/5.97 tff(6218,plain,
% 8.46/5.97 (succ(s223, s224)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6217, 6216])).
% 8.46/5.97 tff(6219,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6220,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s223, s224)) | trans(s223, s224))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6221,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s223, s224)) | trans(s223, s224)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6220, 6219])).
% 8.46/5.97 tff(6222,plain,
% 8.46/5.97 (trans(s223, s224)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6221, 6218, 51])).
% 8.46/5.97 tff(6223,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6224,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s223, s224)) | (~always3(s223)) | always3(s224))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6225,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s223, s224)) | (~always3(s223)) | always3(s224)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6224, 6223])).
% 8.46/5.97 tff(6226,plain,
% 8.46/5.97 ((~always3(s223)) | always3(s224)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6225, 68, 6222])).
% 8.46/5.97 tff(6227,plain,
% 8.46/5.97 (~always3(s223)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6226, 6215])).
% 8.46/5.97 tff(6228,plain,
% 8.46/5.97 (succ(s222, s223) <=> succ(s222, s223)),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6229,axiom,(succ(s222, s223)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound223')).
% 8.46/5.97 tff(6230,plain,
% 8.46/5.97 (succ(s222, s223)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6229, 6228])).
% 8.46/5.97 tff(6231,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6232,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s222, s223)) | trans(s222, s223))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6233,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s222, s223)) | trans(s222, s223)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6232, 6231])).
% 8.46/5.97 tff(6234,plain,
% 8.46/5.97 (trans(s222, s223)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6233, 6230, 51])).
% 8.46/5.97 tff(6235,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6236,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s222, s223)) | (~always3(s222)) | always3(s223))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6237,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s222, s223)) | (~always3(s222)) | always3(s223)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6236, 6235])).
% 8.46/5.97 tff(6238,plain,
% 8.46/5.97 ((~always3(s222)) | always3(s223)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6237, 68, 6234])).
% 8.46/5.97 tff(6239,plain,
% 8.46/5.97 (~always3(s222)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6238, 6227])).
% 8.46/5.97 tff(6240,plain,
% 8.46/5.97 (succ(s221, s222) <=> succ(s221, s222)),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6241,axiom,(succ(s221, s222)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound222')).
% 8.46/5.97 tff(6242,plain,
% 8.46/5.97 (succ(s221, s222)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6241, 6240])).
% 8.46/5.97 tff(6243,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6244,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s221, s222)) | trans(s221, s222))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6245,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s221, s222)) | trans(s221, s222)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6244, 6243])).
% 8.46/5.97 tff(6246,plain,
% 8.46/5.97 (trans(s221, s222)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6245, 6242, 51])).
% 8.46/5.97 tff(6247,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6248,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s221, s222)) | (~always3(s221)) | always3(s222))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6249,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s221, s222)) | (~always3(s221)) | always3(s222)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6248, 6247])).
% 8.46/5.97 tff(6250,plain,
% 8.46/5.97 ((~always3(s221)) | always3(s222)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6249, 68, 6246])).
% 8.46/5.97 tff(6251,plain,
% 8.46/5.97 (~always3(s221)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6250, 6239])).
% 8.46/5.97 tff(6252,plain,
% 8.46/5.97 (succ(s220, s221) <=> succ(s220, s221)),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6253,axiom,(succ(s220, s221)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound221')).
% 8.46/5.97 tff(6254,plain,
% 8.46/5.97 (succ(s220, s221)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6253, 6252])).
% 8.46/5.97 tff(6255,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6256,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s220, s221)) | trans(s220, s221))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6257,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s220, s221)) | trans(s220, s221)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6256, 6255])).
% 8.46/5.97 tff(6258,plain,
% 8.46/5.97 (trans(s220, s221)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6257, 6254, 51])).
% 8.46/5.97 tff(6259,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6260,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s220, s221)) | (~always3(s220)) | always3(s221))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6261,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s220, s221)) | (~always3(s220)) | always3(s221)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6260, 6259])).
% 8.46/5.97 tff(6262,plain,
% 8.46/5.97 ((~always3(s220)) | always3(s221)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6261, 68, 6258])).
% 8.46/5.97 tff(6263,plain,
% 8.46/5.97 (~always3(s220)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6262, 6251])).
% 8.46/5.97 tff(6264,plain,
% 8.46/5.97 (succ(s219, s220) <=> succ(s219, s220)),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6265,axiom,(succ(s219, s220)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound220')).
% 8.46/5.97 tff(6266,plain,
% 8.46/5.97 (succ(s219, s220)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6265, 6264])).
% 8.46/5.97 tff(6267,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6268,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s219, s220)) | trans(s219, s220))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6269,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s219, s220)) | trans(s219, s220)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6268, 6267])).
% 8.46/5.97 tff(6270,plain,
% 8.46/5.97 (trans(s219, s220)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6269, 6266, 51])).
% 8.46/5.97 tff(6271,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6272,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s219, s220)) | (~always3(s219)) | always3(s220))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6273,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s219, s220)) | (~always3(s219)) | always3(s220)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6272, 6271])).
% 8.46/5.97 tff(6274,plain,
% 8.46/5.97 ((~always3(s219)) | always3(s220)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6273, 68, 6270])).
% 8.46/5.97 tff(6275,plain,
% 8.46/5.97 (~always3(s219)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6274, 6263])).
% 8.46/5.97 tff(6276,plain,
% 8.46/5.97 (succ(s218, s219) <=> succ(s218, s219)),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6277,axiom,(succ(s218, s219)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound219')).
% 8.46/5.97 tff(6278,plain,
% 8.46/5.97 (succ(s218, s219)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6277, 6276])).
% 8.46/5.97 tff(6279,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6280,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s218, s219)) | trans(s218, s219))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6281,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s218, s219)) | trans(s218, s219)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6280, 6279])).
% 8.46/5.97 tff(6282,plain,
% 8.46/5.97 (trans(s218, s219)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6281, 6278, 51])).
% 8.46/5.97 tff(6283,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6284,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s218, s219)) | (~always3(s218)) | always3(s219))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6285,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s218, s219)) | (~always3(s218)) | always3(s219)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6284, 6283])).
% 8.46/5.97 tff(6286,plain,
% 8.46/5.97 ((~always3(s218)) | always3(s219)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6285, 68, 6282])).
% 8.46/5.97 tff(6287,plain,
% 8.46/5.97 (~always3(s218)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6286, 6275])).
% 8.46/5.97 tff(6288,plain,
% 8.46/5.97 (succ(s217, s218) <=> succ(s217, s218)),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6289,axiom,(succ(s217, s218)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound218')).
% 8.46/5.97 tff(6290,plain,
% 8.46/5.97 (succ(s217, s218)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6289, 6288])).
% 8.46/5.97 tff(6291,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6292,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s217, s218)) | trans(s217, s218))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6293,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s217, s218)) | trans(s217, s218)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6292, 6291])).
% 8.46/5.97 tff(6294,plain,
% 8.46/5.97 (trans(s217, s218)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6293, 6290, 51])).
% 8.46/5.97 tff(6295,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6296,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s217, s218)) | (~always3(s217)) | always3(s218))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6297,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s217, s218)) | (~always3(s217)) | always3(s218)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6296, 6295])).
% 8.46/5.97 tff(6298,plain,
% 8.46/5.97 ((~always3(s217)) | always3(s218)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6297, 68, 6294])).
% 8.46/5.97 tff(6299,plain,
% 8.46/5.97 (~always3(s217)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6298, 6287])).
% 8.46/5.97 tff(6300,plain,
% 8.46/5.97 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s217) | (~node4(s217)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s217) | (~node4(s217)))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6301,plain,
% 8.46/5.97 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s217) | (~node4(s217)))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6302,plain,
% 8.46/5.97 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s217) | (~node4(s217))),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6301, 6300])).
% 8.46/5.97 tff(6303,plain,
% 8.46/5.97 (~node4(s217)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6302, 22, 6299])).
% 8.46/5.97 tff(6304,plain,
% 8.46/5.97 (succ(s216, s217) <=> succ(s216, s217)),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6305,axiom,(succ(s216, s217)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound217')).
% 8.46/5.97 tff(6306,plain,
% 8.46/5.97 (succ(s216, s217)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6305, 6304])).
% 8.46/5.97 tff(6307,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6308,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s216, s217)) | trans(s216, s217))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6309,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s216, s217)) | trans(s216, s217)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6308, 6307])).
% 8.46/5.97 tff(6310,plain,
% 8.46/5.97 (trans(s216, s217)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6309, 6306, 51])).
% 8.46/5.97 tff(6311,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6312,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s216, s217)) | (~always3(s216)) | always3(s217))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6313,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s216, s217)) | (~always3(s216)) | always3(s217)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6312, 6311])).
% 8.46/5.97 tff(6314,plain,
% 8.46/5.97 ((~always3(s216)) | always3(s217)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6313, 68, 6310])).
% 8.46/5.97 tff(6315,plain,
% 8.46/5.97 (~always3(s216)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6314, 6299])).
% 8.46/5.97 tff(6316,plain,
% 8.46/5.97 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s216) | (~node4(s216)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s216) | (~node4(s216)))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6317,plain,
% 8.46/5.97 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s216) | (~node4(s216)))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6318,plain,
% 8.46/5.97 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s216) | (~node4(s216))),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6317, 6316])).
% 8.46/5.97 tff(6319,plain,
% 8.46/5.97 (~node4(s216)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6318, 22, 6315])).
% 8.46/5.97 tff(6320,assumption,(until5(s58)), introduced(assumption)).
% 8.46/5.97 tff(6321,plain,
% 8.46/5.97 (succ(s215, s216) <=> succ(s215, s216)),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6322,axiom,(succ(s215, s216)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound216')).
% 8.46/5.97 tff(6323,plain,
% 8.46/5.97 (succ(s215, s216)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6322, 6321])).
% 8.46/5.97 tff(6324,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6325,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s215, s216)) | trans(s215, s216))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6326,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s215, s216)) | trans(s215, s216)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6325, 6324])).
% 8.46/5.97 tff(6327,plain,
% 8.46/5.97 (trans(s215, s216)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6326, 6323, 51])).
% 8.46/5.97 tff(6328,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6329,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s215, s216)) | (~always3(s215)) | always3(s216))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6330,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s215, s216)) | (~always3(s215)) | always3(s216)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6329, 6328])).
% 8.46/5.97 tff(6331,plain,
% 8.46/5.97 ((~always3(s215)) | always3(s216)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6330, 68, 6327])).
% 8.46/5.97 tff(6332,plain,
% 8.46/5.97 (~always3(s215)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6331, 6315])).
% 8.46/5.97 tff(6333,assumption,(~always3(s215)), introduced(assumption)).
% 8.46/5.97 tff(6334,plain,
% 8.46/5.97 (succ(s214, s215) <=> succ(s214, s215)),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6335,axiom,(succ(s214, s215)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound215')).
% 8.46/5.97 tff(6336,plain,
% 8.46/5.97 (succ(s214, s215)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6335, 6334])).
% 8.46/5.97 tff(6337,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6338,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s214, s215)) | trans(s214, s215))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6339,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s214, s215)) | trans(s214, s215)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6338, 6337])).
% 8.46/5.97 tff(6340,plain,
% 8.46/5.97 (trans(s214, s215)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6339, 6336, 51])).
% 8.46/5.97 tff(6341,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6342,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s214, s215)) | (~always3(s214)) | always3(s215))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6343,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s214, s215)) | (~always3(s214)) | always3(s215)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6342, 6341])).
% 8.46/5.97 tff(6344,plain,
% 8.46/5.97 ((~always3(s214)) | always3(s215)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6343, 68, 6340])).
% 8.46/5.97 tff(6345,plain,
% 8.46/5.97 (~always3(s214)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6344, 6333])).
% 8.46/5.97 tff(6346,plain,
% 8.46/5.97 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s214) | (~node4(s214)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s214) | (~node4(s214)))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6347,plain,
% 8.46/5.97 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s214) | (~node4(s214)))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6348,plain,
% 8.46/5.97 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s214) | (~node4(s214))),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6347, 6346])).
% 8.46/5.97 tff(6349,plain,
% 8.46/5.97 (~node4(s214)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6348, 22, 6345])).
% 8.46/5.97 tff(6350,plain,
% 8.46/5.97 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s215) | (~node4(s215)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s215) | (~node4(s215)))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6351,plain,
% 8.46/5.97 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s215) | (~node4(s215)))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6352,plain,
% 8.46/5.97 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s215) | (~node4(s215))),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6351, 6350])).
% 8.46/5.97 tff(6353,plain,
% 8.46/5.97 (~node4(s215)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6352, 22, 6333])).
% 8.46/5.97 tff(6354,assumption,(~xuntil6(s215)), introduced(assumption)).
% 8.46/5.97 tff(6355,plain,
% 8.46/5.97 (((~![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)))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6356,plain,
% 8.46/5.97 ((node4(s215) | (~until5(s215)) | xuntil6(s215)) <=> (xuntil6(s215) | node4(s215) | (~until5(s215)))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6357,plain,
% 8.46/5.97 (((~![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))))),
% 8.46/5.97 inference(monotonicity,[status(thm)],[6356])).
% 8.46/5.97 tff(6358,plain,
% 8.46/5.97 (((~![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)))),
% 8.46/5.97 inference(transitivity,[status(thm)],[6357, 6355])).
% 8.46/5.97 tff(6359,plain,
% 8.46/5.97 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s215) | (~until5(s215)) | xuntil6(s215))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6360,plain,
% 8.46/5.97 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s215) | node4(s215) | (~until5(s215))),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6359, 6358])).
% 8.46/5.97 tff(6361,plain,
% 8.46/5.97 (node4(s215) | (~until5(s215))),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6360, 36, 6354])).
% 8.46/5.97 tff(6362,plain,
% 8.46/5.97 (~until5(s215)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6361, 6353])).
% 8.46/5.97 tff(6363,plain,
% 8.46/5.97 (((~![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))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6364,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s214, s215)) | (~xuntil6(s214)) | until5(s215))),
% 8.46/5.97 inference(quant_inst,[status(thm)],[])).
% 8.46/5.97 tff(6365,plain,
% 8.46/5.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s214, s215)) | (~xuntil6(s214)) | until5(s215)),
% 8.46/5.97 inference(modus_ponens,[status(thm)],[6364, 6363])).
% 8.46/5.97 tff(6366,plain,
% 8.46/5.97 ((~xuntil6(s214)) | until5(s215)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6365, 6336, 141])).
% 8.46/5.97 tff(6367,plain,
% 8.46/5.97 (~xuntil6(s214)),
% 8.46/5.97 inference(unit_resolution,[status(thm)],[6366, 6362])).
% 8.46/5.97 tff(6368,plain,
% 8.46/5.97 (((~![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)))),
% 8.46/5.97 inference(rewrite,[status(thm)],[])).
% 8.46/5.97 tff(6369,plain,
% 8.46/5.97 ((node4(s214) | (~until5(s214)) | xuntil6(s214)) <=> (xuntil6(s214) | node4(s214) | (~until5(s214)))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6370,plain,
% 8.46/5.98 (((~![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))))),
% 8.46/5.98 inference(monotonicity,[status(thm)],[6369])).
% 8.46/5.98 tff(6371,plain,
% 8.46/5.98 (((~![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)))),
% 8.46/5.98 inference(transitivity,[status(thm)],[6370, 6368])).
% 8.46/5.98 tff(6372,plain,
% 8.46/5.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s214) | (~until5(s214)) | xuntil6(s214))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6373,plain,
% 8.46/5.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s214) | node4(s214) | (~until5(s214))),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6372, 6371])).
% 8.46/5.98 tff(6374,plain,
% 8.46/5.98 (~until5(s214)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6373, 36, 6367, 6349])).
% 8.46/5.98 tff(6375,plain,
% 8.46/5.98 (succ(s213, s214) <=> succ(s213, s214)),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6376,axiom,(succ(s213, s214)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound214')).
% 8.46/5.98 tff(6377,plain,
% 8.46/5.98 (succ(s213, s214)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6376, 6375])).
% 8.46/5.98 tff(6378,plain,
% 8.46/5.98 (((~![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))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6379,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s213, s214)) | (~xuntil6(s213)) | until5(s214))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6380,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s213, s214)) | (~xuntil6(s213)) | until5(s214)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6379, 6378])).
% 8.46/5.98 tff(6381,plain,
% 8.46/5.98 ((~xuntil6(s213)) | until5(s214)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6380, 6377, 141])).
% 8.46/5.98 tff(6382,plain,
% 8.46/5.98 (~xuntil6(s213)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6381, 6374])).
% 8.46/5.98 tff(6383,plain,
% 8.46/5.98 (((~![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))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6384,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s213, s214)) | trans(s213, s214))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6385,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s213, s214)) | trans(s213, s214)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6384, 6383])).
% 8.46/5.98 tff(6386,plain,
% 8.46/5.98 (trans(s213, s214)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6385, 6377, 51])).
% 8.46/5.98 tff(6387,plain,
% 8.46/5.98 (((~![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))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6388,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s213, s214)) | (~always3(s213)) | always3(s214))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6389,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s213, s214)) | (~always3(s213)) | always3(s214)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6388, 6387])).
% 8.46/5.98 tff(6390,plain,
% 8.46/5.98 ((~always3(s213)) | always3(s214)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6389, 68, 6386])).
% 8.46/5.98 tff(6391,plain,
% 8.46/5.98 (~always3(s213)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6390, 6345])).
% 8.46/5.98 tff(6392,plain,
% 8.46/5.98 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s213) | (~node4(s213)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s213) | (~node4(s213)))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6393,plain,
% 8.46/5.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s213) | (~node4(s213)))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6394,plain,
% 8.46/5.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s213) | (~node4(s213))),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6393, 6392])).
% 8.46/5.98 tff(6395,plain,
% 8.46/5.98 (~node4(s213)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6394, 22, 6391])).
% 8.46/5.98 tff(6396,plain,
% 8.46/5.98 (((~![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)))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6397,plain,
% 8.46/5.98 ((node4(s213) | (~until5(s213)) | xuntil6(s213)) <=> (xuntil6(s213) | node4(s213) | (~until5(s213)))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6398,plain,
% 8.46/5.98 (((~![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))))),
% 8.46/5.98 inference(monotonicity,[status(thm)],[6397])).
% 8.46/5.98 tff(6399,plain,
% 8.46/5.98 (((~![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)))),
% 8.46/5.98 inference(transitivity,[status(thm)],[6398, 6396])).
% 8.46/5.98 tff(6400,plain,
% 8.46/5.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s213) | (~until5(s213)) | xuntil6(s213))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6401,plain,
% 8.46/5.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s213) | node4(s213) | (~until5(s213))),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6400, 6399])).
% 8.46/5.98 tff(6402,plain,
% 8.46/5.98 (xuntil6(s213) | (~until5(s213))),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6401, 36, 6395])).
% 8.46/5.98 tff(6403,plain,
% 8.46/5.98 (~until5(s213)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6402, 6382])).
% 8.46/5.98 tff(6404,plain,
% 8.46/5.98 (succ(s212, s213) <=> succ(s212, s213)),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6405,axiom,(succ(s212, s213)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound213')).
% 8.46/5.98 tff(6406,plain,
% 8.46/5.98 (succ(s212, s213)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6405, 6404])).
% 8.46/5.98 tff(6407,plain,
% 8.46/5.98 (((~![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))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6408,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s212, s213)) | (~xuntil6(s212)) | until5(s213))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6409,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s212, s213)) | (~xuntil6(s212)) | until5(s213)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6408, 6407])).
% 8.46/5.98 tff(6410,plain,
% 8.46/5.98 ((~xuntil6(s212)) | until5(s213)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6409, 6406, 141])).
% 8.46/5.98 tff(6411,plain,
% 8.46/5.98 (~xuntil6(s212)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6410, 6403])).
% 8.46/5.98 tff(6412,plain,
% 8.46/5.98 (((~![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))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6413,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s212, s213)) | trans(s212, s213))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6414,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s212, s213)) | trans(s212, s213)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6413, 6412])).
% 8.46/5.98 tff(6415,plain,
% 8.46/5.98 (trans(s212, s213)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6414, 6406, 51])).
% 8.46/5.98 tff(6416,plain,
% 8.46/5.98 (((~![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))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6417,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s212, s213)) | (~always3(s212)) | always3(s213))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6418,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s212, s213)) | (~always3(s212)) | always3(s213)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6417, 6416])).
% 8.46/5.98 tff(6419,plain,
% 8.46/5.98 ((~always3(s212)) | always3(s213)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6418, 68, 6415])).
% 8.46/5.98 tff(6420,plain,
% 8.46/5.98 (~always3(s212)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6419, 6391])).
% 8.46/5.98 tff(6421,plain,
% 8.46/5.98 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s212) | (~node4(s212)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s212) | (~node4(s212)))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6422,plain,
% 8.46/5.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s212) | (~node4(s212)))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6423,plain,
% 8.46/5.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s212) | (~node4(s212))),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6422, 6421])).
% 8.46/5.98 tff(6424,plain,
% 8.46/5.98 (~node4(s212)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6423, 22, 6420])).
% 8.46/5.98 tff(6425,plain,
% 8.46/5.98 (((~![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)))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6426,plain,
% 8.46/5.98 ((node4(s212) | (~until5(s212)) | xuntil6(s212)) <=> (xuntil6(s212) | node4(s212) | (~until5(s212)))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6427,plain,
% 8.46/5.98 (((~![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))))),
% 8.46/5.98 inference(monotonicity,[status(thm)],[6426])).
% 8.46/5.98 tff(6428,plain,
% 8.46/5.98 (((~![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)))),
% 8.46/5.98 inference(transitivity,[status(thm)],[6427, 6425])).
% 8.46/5.98 tff(6429,plain,
% 8.46/5.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s212) | (~until5(s212)) | xuntil6(s212))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6430,plain,
% 8.46/5.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s212) | node4(s212) | (~until5(s212))),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6429, 6428])).
% 8.46/5.98 tff(6431,plain,
% 8.46/5.98 (xuntil6(s212) | (~until5(s212))),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6430, 36, 6424])).
% 8.46/5.98 tff(6432,plain,
% 8.46/5.98 (~until5(s212)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6431, 6411])).
% 8.46/5.98 tff(6433,plain,
% 8.46/5.98 (succ(s211, s212) <=> succ(s211, s212)),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6434,axiom,(succ(s211, s212)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound212')).
% 8.46/5.98 tff(6435,plain,
% 8.46/5.98 (succ(s211, s212)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6434, 6433])).
% 8.46/5.98 tff(6436,plain,
% 8.46/5.98 (((~![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))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6437,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s211, s212)) | (~xuntil6(s211)) | until5(s212))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6438,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s211, s212)) | (~xuntil6(s211)) | until5(s212)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6437, 6436])).
% 8.46/5.98 tff(6439,plain,
% 8.46/5.98 ((~xuntil6(s211)) | until5(s212)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6438, 6435, 141])).
% 8.46/5.98 tff(6440,plain,
% 8.46/5.98 (~xuntil6(s211)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6439, 6432])).
% 8.46/5.98 tff(6441,plain,
% 8.46/5.98 (((~![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))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6442,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s211, s212)) | trans(s211, s212))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6443,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s211, s212)) | trans(s211, s212)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6442, 6441])).
% 8.46/5.98 tff(6444,plain,
% 8.46/5.98 (trans(s211, s212)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6443, 6435, 51])).
% 8.46/5.98 tff(6445,plain,
% 8.46/5.98 (((~![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))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6446,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s211, s212)) | (~always3(s211)) | always3(s212))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6447,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s211, s212)) | (~always3(s211)) | always3(s212)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6446, 6445])).
% 8.46/5.98 tff(6448,plain,
% 8.46/5.98 ((~always3(s211)) | always3(s212)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6447, 68, 6444])).
% 8.46/5.98 tff(6449,plain,
% 8.46/5.98 (~always3(s211)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6448, 6420])).
% 8.46/5.98 tff(6450,plain,
% 8.46/5.98 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s211) | (~node4(s211)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s211) | (~node4(s211)))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6451,plain,
% 8.46/5.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s211) | (~node4(s211)))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6452,plain,
% 8.46/5.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s211) | (~node4(s211))),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6451, 6450])).
% 8.46/5.98 tff(6453,plain,
% 8.46/5.98 (~node4(s211)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6452, 22, 6449])).
% 8.46/5.98 tff(6454,plain,
% 8.46/5.98 (((~![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)))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6455,plain,
% 8.46/5.98 ((node4(s211) | (~until5(s211)) | xuntil6(s211)) <=> (xuntil6(s211) | node4(s211) | (~until5(s211)))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6456,plain,
% 8.46/5.98 (((~![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))))),
% 8.46/5.98 inference(monotonicity,[status(thm)],[6455])).
% 8.46/5.98 tff(6457,plain,
% 8.46/5.98 (((~![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)))),
% 8.46/5.98 inference(transitivity,[status(thm)],[6456, 6454])).
% 8.46/5.98 tff(6458,plain,
% 8.46/5.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s211) | (~until5(s211)) | xuntil6(s211))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6459,plain,
% 8.46/5.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s211) | node4(s211) | (~until5(s211))),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6458, 6457])).
% 8.46/5.98 tff(6460,plain,
% 8.46/5.98 (xuntil6(s211) | (~until5(s211))),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6459, 36, 6453])).
% 8.46/5.98 tff(6461,plain,
% 8.46/5.98 (~until5(s211)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6460, 6440])).
% 8.46/5.98 tff(6462,plain,
% 8.46/5.98 (succ(s210, s211) <=> succ(s210, s211)),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6463,axiom,(succ(s210, s211)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound211')).
% 8.46/5.98 tff(6464,plain,
% 8.46/5.98 (succ(s210, s211)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6463, 6462])).
% 8.46/5.98 tff(6465,plain,
% 8.46/5.98 (((~![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))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6466,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s210, s211)) | (~xuntil6(s210)) | until5(s211))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6467,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s210, s211)) | (~xuntil6(s210)) | until5(s211)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6466, 6465])).
% 8.46/5.98 tff(6468,plain,
% 8.46/5.98 ((~xuntil6(s210)) | until5(s211)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6467, 6464, 141])).
% 8.46/5.98 tff(6469,plain,
% 8.46/5.98 (~xuntil6(s210)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6468, 6461])).
% 8.46/5.98 tff(6470,plain,
% 8.46/5.98 (((~![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))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6471,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s210, s211)) | trans(s210, s211))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6472,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s210, s211)) | trans(s210, s211)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6471, 6470])).
% 8.46/5.98 tff(6473,plain,
% 8.46/5.98 (trans(s210, s211)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6472, 6464, 51])).
% 8.46/5.98 tff(6474,plain,
% 8.46/5.98 (((~![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))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6475,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s210, s211)) | (~always3(s210)) | always3(s211))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6476,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s210, s211)) | (~always3(s210)) | always3(s211)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6475, 6474])).
% 8.46/5.98 tff(6477,plain,
% 8.46/5.98 ((~always3(s210)) | always3(s211)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6476, 68, 6473])).
% 8.46/5.98 tff(6478,plain,
% 8.46/5.98 (~always3(s210)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6477, 6449])).
% 8.46/5.98 tff(6479,plain,
% 8.46/5.98 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s210) | (~node4(s210)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s210) | (~node4(s210)))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6480,plain,
% 8.46/5.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s210) | (~node4(s210)))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6481,plain,
% 8.46/5.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s210) | (~node4(s210))),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6480, 6479])).
% 8.46/5.98 tff(6482,plain,
% 8.46/5.98 (~node4(s210)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6481, 22, 6478])).
% 8.46/5.98 tff(6483,plain,
% 8.46/5.98 (((~![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)))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6484,plain,
% 8.46/5.98 ((node4(s210) | (~until5(s210)) | xuntil6(s210)) <=> (xuntil6(s210) | node4(s210) | (~until5(s210)))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6485,plain,
% 8.46/5.98 (((~![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))))),
% 8.46/5.98 inference(monotonicity,[status(thm)],[6484])).
% 8.46/5.98 tff(6486,plain,
% 8.46/5.98 (((~![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)))),
% 8.46/5.98 inference(transitivity,[status(thm)],[6485, 6483])).
% 8.46/5.98 tff(6487,plain,
% 8.46/5.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s210) | (~until5(s210)) | xuntil6(s210))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6488,plain,
% 8.46/5.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s210) | node4(s210) | (~until5(s210))),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6487, 6486])).
% 8.46/5.98 tff(6489,plain,
% 8.46/5.98 (xuntil6(s210) | (~until5(s210))),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6488, 36, 6482])).
% 8.46/5.98 tff(6490,plain,
% 8.46/5.98 (~until5(s210)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6489, 6469])).
% 8.46/5.98 tff(6491,plain,
% 8.46/5.98 (succ(s209, s210) <=> succ(s209, s210)),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6492,axiom,(succ(s209, s210)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound210')).
% 8.46/5.98 tff(6493,plain,
% 8.46/5.98 (succ(s209, s210)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6492, 6491])).
% 8.46/5.98 tff(6494,plain,
% 8.46/5.98 (((~![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))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6495,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s209, s210)) | (~xuntil6(s209)) | until5(s210))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6496,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s209, s210)) | (~xuntil6(s209)) | until5(s210)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6495, 6494])).
% 8.46/5.98 tff(6497,plain,
% 8.46/5.98 ((~xuntil6(s209)) | until5(s210)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6496, 6493, 141])).
% 8.46/5.98 tff(6498,plain,
% 8.46/5.98 (~xuntil6(s209)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6497, 6490])).
% 8.46/5.98 tff(6499,plain,
% 8.46/5.98 (((~![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))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6500,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s209, s210)) | trans(s209, s210))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6501,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s209, s210)) | trans(s209, s210)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6500, 6499])).
% 8.46/5.98 tff(6502,plain,
% 8.46/5.98 (trans(s209, s210)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6501, 6493, 51])).
% 8.46/5.98 tff(6503,plain,
% 8.46/5.98 (((~![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))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6504,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s209, s210)) | (~always3(s209)) | always3(s210))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6505,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s209, s210)) | (~always3(s209)) | always3(s210)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6504, 6503])).
% 8.46/5.98 tff(6506,plain,
% 8.46/5.98 ((~always3(s209)) | always3(s210)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6505, 68, 6502])).
% 8.46/5.98 tff(6507,plain,
% 8.46/5.98 (~always3(s209)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6506, 6478])).
% 8.46/5.98 tff(6508,plain,
% 8.46/5.98 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s209) | (~node4(s209)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s209) | (~node4(s209)))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6509,plain,
% 8.46/5.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s209) | (~node4(s209)))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6510,plain,
% 8.46/5.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s209) | (~node4(s209))),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6509, 6508])).
% 8.46/5.98 tff(6511,plain,
% 8.46/5.98 (~node4(s209)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6510, 22, 6507])).
% 8.46/5.98 tff(6512,plain,
% 8.46/5.98 (((~![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)))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6513,plain,
% 8.46/5.98 ((node4(s209) | (~until5(s209)) | xuntil6(s209)) <=> (xuntil6(s209) | node4(s209) | (~until5(s209)))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6514,plain,
% 8.46/5.98 (((~![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))))),
% 8.46/5.98 inference(monotonicity,[status(thm)],[6513])).
% 8.46/5.98 tff(6515,plain,
% 8.46/5.98 (((~![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)))),
% 8.46/5.98 inference(transitivity,[status(thm)],[6514, 6512])).
% 8.46/5.98 tff(6516,plain,
% 8.46/5.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s209) | (~until5(s209)) | xuntil6(s209))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6517,plain,
% 8.46/5.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s209) | node4(s209) | (~until5(s209))),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6516, 6515])).
% 8.46/5.98 tff(6518,plain,
% 8.46/5.98 (xuntil6(s209) | (~until5(s209))),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6517, 36, 6511])).
% 8.46/5.98 tff(6519,plain,
% 8.46/5.98 (~until5(s209)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6518, 6498])).
% 8.46/5.98 tff(6520,plain,
% 8.46/5.98 (succ(s208, s209) <=> succ(s208, s209)),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6521,axiom,(succ(s208, s209)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound209')).
% 8.46/5.98 tff(6522,plain,
% 8.46/5.98 (succ(s208, s209)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6521, 6520])).
% 8.46/5.98 tff(6523,plain,
% 8.46/5.98 (((~![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))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6524,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s208, s209)) | (~xuntil6(s208)) | until5(s209))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6525,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s208, s209)) | (~xuntil6(s208)) | until5(s209)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6524, 6523])).
% 8.46/5.98 tff(6526,plain,
% 8.46/5.98 ((~xuntil6(s208)) | until5(s209)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6525, 6522, 141])).
% 8.46/5.98 tff(6527,plain,
% 8.46/5.98 (~xuntil6(s208)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6526, 6519])).
% 8.46/5.98 tff(6528,plain,
% 8.46/5.98 (((~![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))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6529,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s208, s209)) | trans(s208, s209))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6530,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s208, s209)) | trans(s208, s209)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6529, 6528])).
% 8.46/5.98 tff(6531,plain,
% 8.46/5.98 (trans(s208, s209)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6530, 6522, 51])).
% 8.46/5.98 tff(6532,plain,
% 8.46/5.98 (((~![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))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6533,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s208, s209)) | (~always3(s208)) | always3(s209))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6534,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s208, s209)) | (~always3(s208)) | always3(s209)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6533, 6532])).
% 8.46/5.98 tff(6535,plain,
% 8.46/5.98 ((~always3(s208)) | always3(s209)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6534, 68, 6531])).
% 8.46/5.98 tff(6536,plain,
% 8.46/5.98 (~always3(s208)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6535, 6507])).
% 8.46/5.98 tff(6537,plain,
% 8.46/5.98 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s208) | (~node4(s208)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s208) | (~node4(s208)))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6538,plain,
% 8.46/5.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s208) | (~node4(s208)))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6539,plain,
% 8.46/5.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s208) | (~node4(s208))),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6538, 6537])).
% 8.46/5.98 tff(6540,plain,
% 8.46/5.98 (~node4(s208)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6539, 22, 6536])).
% 8.46/5.98 tff(6541,plain,
% 8.46/5.98 (((~![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)))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6542,plain,
% 8.46/5.98 ((node4(s208) | (~until5(s208)) | xuntil6(s208)) <=> (xuntil6(s208) | node4(s208) | (~until5(s208)))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6543,plain,
% 8.46/5.98 (((~![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))))),
% 8.46/5.98 inference(monotonicity,[status(thm)],[6542])).
% 8.46/5.98 tff(6544,plain,
% 8.46/5.98 (((~![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)))),
% 8.46/5.98 inference(transitivity,[status(thm)],[6543, 6541])).
% 8.46/5.98 tff(6545,plain,
% 8.46/5.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s208) | (~until5(s208)) | xuntil6(s208))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6546,plain,
% 8.46/5.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s208) | node4(s208) | (~until5(s208))),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6545, 6544])).
% 8.46/5.98 tff(6547,plain,
% 8.46/5.98 (xuntil6(s208) | (~until5(s208))),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6546, 36, 6540])).
% 8.46/5.98 tff(6548,plain,
% 8.46/5.98 (~until5(s208)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6547, 6527])).
% 8.46/5.98 tff(6549,plain,
% 8.46/5.98 (succ(s207, s208) <=> succ(s207, s208)),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6550,axiom,(succ(s207, s208)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound208')).
% 8.46/5.98 tff(6551,plain,
% 8.46/5.98 (succ(s207, s208)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6550, 6549])).
% 8.46/5.98 tff(6552,plain,
% 8.46/5.98 (((~![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))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6553,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s207, s208)) | (~xuntil6(s207)) | until5(s208))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6554,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s207, s208)) | (~xuntil6(s207)) | until5(s208)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6553, 6552])).
% 8.46/5.98 tff(6555,plain,
% 8.46/5.98 ((~xuntil6(s207)) | until5(s208)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6554, 6551, 141])).
% 8.46/5.98 tff(6556,plain,
% 8.46/5.98 (~xuntil6(s207)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6555, 6548])).
% 8.46/5.98 tff(6557,plain,
% 8.46/5.98 (((~![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))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6558,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s207, s208)) | trans(s207, s208))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6559,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s207, s208)) | trans(s207, s208)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6558, 6557])).
% 8.46/5.98 tff(6560,plain,
% 8.46/5.98 (trans(s207, s208)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6559, 6551, 51])).
% 8.46/5.98 tff(6561,plain,
% 8.46/5.98 (((~![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))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6562,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s207, s208)) | (~always3(s207)) | always3(s208))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6563,plain,
% 8.46/5.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s207, s208)) | (~always3(s207)) | always3(s208)),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6562, 6561])).
% 8.46/5.98 tff(6564,plain,
% 8.46/5.98 ((~always3(s207)) | always3(s208)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6563, 68, 6560])).
% 8.46/5.98 tff(6565,plain,
% 8.46/5.98 (~always3(s207)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6564, 6536])).
% 8.46/5.98 tff(6566,plain,
% 8.46/5.98 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s207) | (~node4(s207)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s207) | (~node4(s207)))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6567,plain,
% 8.46/5.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s207) | (~node4(s207)))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6568,plain,
% 8.46/5.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s207) | (~node4(s207))),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6567, 6566])).
% 8.46/5.98 tff(6569,plain,
% 8.46/5.98 (~node4(s207)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6568, 22, 6565])).
% 8.46/5.98 tff(6570,plain,
% 8.46/5.98 (((~![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)))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6571,plain,
% 8.46/5.98 ((node4(s207) | (~until5(s207)) | xuntil6(s207)) <=> (xuntil6(s207) | node4(s207) | (~until5(s207)))),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.98 tff(6572,plain,
% 8.46/5.98 (((~![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))))),
% 8.46/5.98 inference(monotonicity,[status(thm)],[6571])).
% 8.46/5.98 tff(6573,plain,
% 8.46/5.98 (((~![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)))),
% 8.46/5.98 inference(transitivity,[status(thm)],[6572, 6570])).
% 8.46/5.98 tff(6574,plain,
% 8.46/5.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s207) | (~until5(s207)) | xuntil6(s207))),
% 8.46/5.98 inference(quant_inst,[status(thm)],[])).
% 8.46/5.98 tff(6575,plain,
% 8.46/5.98 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s207) | node4(s207) | (~until5(s207))),
% 8.46/5.98 inference(modus_ponens,[status(thm)],[6574, 6573])).
% 8.46/5.98 tff(6576,plain,
% 8.46/5.98 (xuntil6(s207) | (~until5(s207))),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6575, 36, 6569])).
% 8.46/5.98 tff(6577,plain,
% 8.46/5.98 (~until5(s207)),
% 8.46/5.98 inference(unit_resolution,[status(thm)],[6576, 6556])).
% 8.46/5.98 tff(6578,plain,
% 8.46/5.98 (succ(s206, s207) <=> succ(s206, s207)),
% 8.46/5.98 inference(rewrite,[status(thm)],[])).
% 8.46/5.99 tff(6579,axiom,(succ(s206, s207)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound207')).
% 8.46/5.99 tff(6580,plain,
% 8.46/5.99 (succ(s206, s207)),
% 8.46/5.99 inference(modus_ponens,[status(thm)],[6579, 6578])).
% 8.46/5.99 tff(6581,plain,
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% 8.46/5.99 inference(rewrite,[status(thm)],[])).
% 8.46/5.99 tff(6582,plain,
% 8.46/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s206, s207)) | (~xuntil6(s206)) | until5(s207))),
% 8.46/5.99 inference(quant_inst,[status(thm)],[])).
% 8.46/5.99 tff(6583,plain,
% 8.46/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s206, s207)) | (~xuntil6(s206)) | until5(s207)),
% 8.46/5.99 inference(modus_ponens,[status(thm)],[6582, 6581])).
% 8.46/5.99 tff(6584,plain,
% 8.46/5.99 ((~xuntil6(s206)) | until5(s207)),
% 8.46/5.99 inference(unit_resolution,[status(thm)],[6583, 6580, 141])).
% 8.46/5.99 tff(6585,plain,
% 8.46/5.99 (~xuntil6(s206)),
% 8.46/5.99 inference(unit_resolution,[status(thm)],[6584, 6577])).
% 8.46/5.99 tff(6586,plain,
% 8.46/5.99 (((~![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))),
% 8.46/5.99 inference(rewrite,[status(thm)],[])).
% 8.46/5.99 tff(6587,plain,
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% 8.46/5.99 inference(quant_inst,[status(thm)],[])).
% 8.46/5.99 tff(6588,plain,
% 8.46/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s206, s207)) | trans(s206, s207)),
% 8.46/5.99 inference(modus_ponens,[status(thm)],[6587, 6586])).
% 8.46/5.99 tff(6589,plain,
% 8.46/5.99 (trans(s206, s207)),
% 8.46/5.99 inference(unit_resolution,[status(thm)],[6588, 6580, 51])).
% 8.46/5.99 tff(6590,plain,
% 8.46/5.99 (((~![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))),
% 8.46/5.99 inference(rewrite,[status(thm)],[])).
% 8.46/5.99 tff(6591,plain,
% 8.46/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s206, s207)) | (~always3(s206)) | always3(s207))),
% 8.46/5.99 inference(quant_inst,[status(thm)],[])).
% 8.46/5.99 tff(6592,plain,
% 8.46/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s206, s207)) | (~always3(s206)) | always3(s207)),
% 8.46/5.99 inference(modus_ponens,[status(thm)],[6591, 6590])).
% 8.46/5.99 tff(6593,plain,
% 8.46/5.99 ((~always3(s206)) | always3(s207)),
% 8.46/5.99 inference(unit_resolution,[status(thm)],[6592, 68, 6589])).
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% 8.46/5.99 (~always3(s206)),
% 8.46/5.99 inference(unit_resolution,[status(thm)],[6593, 6565])).
% 8.46/5.99 tff(6595,plain,
% 8.46/5.99 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s206) | (~node4(s206)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s206) | (~node4(s206)))),
% 8.46/5.99 inference(rewrite,[status(thm)],[])).
% 8.46/5.99 tff(6596,plain,
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% 8.46/5.99 inference(quant_inst,[status(thm)],[])).
% 8.46/5.99 tff(6597,plain,
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% 8.46/5.99 inference(modus_ponens,[status(thm)],[6596, 6595])).
% 8.46/5.99 tff(6598,plain,
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% 8.46/5.99 inference(unit_resolution,[status(thm)],[6597, 22, 6594])).
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% 8.46/5.99 (((~![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)))),
% 8.46/5.99 inference(rewrite,[status(thm)],[])).
% 8.46/5.99 tff(6600,plain,
% 8.46/5.99 ((node4(s206) | (~until5(s206)) | xuntil6(s206)) <=> (xuntil6(s206) | node4(s206) | (~until5(s206)))),
% 8.46/5.99 inference(rewrite,[status(thm)],[])).
% 8.46/5.99 tff(6601,plain,
% 8.46/5.99 (((~![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))))),
% 8.46/5.99 inference(monotonicity,[status(thm)],[6600])).
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% 8.46/5.99 inference(transitivity,[status(thm)],[6601, 6599])).
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% 8.46/5.99 inference(quant_inst,[status(thm)],[])).
% 8.46/5.99 tff(6604,plain,
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% 8.46/5.99 inference(modus_ponens,[status(thm)],[6603, 6602])).
% 8.46/5.99 tff(6605,plain,
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% 8.46/5.99 inference(unit_resolution,[status(thm)],[6604, 36, 6598])).
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% 8.46/5.99 inference(unit_resolution,[status(thm)],[6605, 6585])).
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% 8.46/5.99 (succ(s205, s206) <=> succ(s205, s206)),
% 8.46/5.99 inference(rewrite,[status(thm)],[])).
% 8.46/5.99 tff(6608,axiom,(succ(s205, s206)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound206')).
% 8.46/5.99 tff(6609,plain,
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% 8.46/5.99 inference(modus_ponens,[status(thm)],[6608, 6607])).
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% 8.46/5.99 inference(rewrite,[status(thm)],[])).
% 8.46/5.99 tff(6611,plain,
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% 8.46/5.99 inference(quant_inst,[status(thm)],[])).
% 8.46/5.99 tff(6612,plain,
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% 8.46/5.99 inference(modus_ponens,[status(thm)],[6611, 6610])).
% 8.46/5.99 tff(6613,plain,
% 8.46/5.99 ((~xuntil6(s205)) | until5(s206)),
% 8.46/5.99 inference(unit_resolution,[status(thm)],[6612, 6609, 141])).
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% 8.46/5.99 inference(unit_resolution,[status(thm)],[6613, 6606])).
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% 8.46/5.99 inference(rewrite,[status(thm)],[])).
% 8.46/5.99 tff(6616,plain,
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% 8.46/5.99 inference(quant_inst,[status(thm)],[])).
% 8.46/5.99 tff(6617,plain,
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% 8.46/5.99 inference(modus_ponens,[status(thm)],[6616, 6615])).
% 8.46/5.99 tff(6618,plain,
% 8.46/5.99 (trans(s205, s206)),
% 8.46/5.99 inference(unit_resolution,[status(thm)],[6617, 6609, 51])).
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% 8.46/5.99 (((~![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))),
% 8.46/5.99 inference(rewrite,[status(thm)],[])).
% 8.46/5.99 tff(6620,plain,
% 8.46/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s205, s206)) | (~always3(s205)) | always3(s206))),
% 8.46/5.99 inference(quant_inst,[status(thm)],[])).
% 8.46/5.99 tff(6621,plain,
% 8.46/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s205, s206)) | (~always3(s205)) | always3(s206)),
% 8.46/5.99 inference(modus_ponens,[status(thm)],[6620, 6619])).
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% 8.46/5.99 inference(unit_resolution,[status(thm)],[6621, 68, 6618])).
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% 8.46/5.99 inference(unit_resolution,[status(thm)],[6622, 6594])).
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% 8.46/5.99 inference(rewrite,[status(thm)],[])).
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% 8.46/5.99 inference(quant_inst,[status(thm)],[])).
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% 8.46/5.99 inference(modus_ponens,[status(thm)],[6625, 6624])).
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% 8.46/5.99 inference(rewrite,[status(thm)],[])).
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% 8.46/5.99 ((node4(s205) | (~until5(s205)) | xuntil6(s205)) <=> (xuntil6(s205) | node4(s205) | (~until5(s205)))),
% 8.46/5.99 inference(rewrite,[status(thm)],[])).
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% 8.46/5.99 inference(monotonicity,[status(thm)],[6629])).
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% 8.46/5.99 (succ(s204, s205) <=> succ(s204, s205)),
% 8.46/5.99 inference(rewrite,[status(thm)],[])).
% 8.46/5.99 tff(6637,axiom,(succ(s204, s205)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound205')).
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% 8.46/5.99 inference(rewrite,[status(thm)],[])).
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% 8.46/5.99 inference(quant_inst,[status(thm)],[])).
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% 8.46/5.99 inference(modus_ponens,[status(thm)],[6640, 6639])).
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% 8.46/5.99 inference(unit_resolution,[status(thm)],[6641, 6638, 141])).
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% 8.46/5.99 inference(rewrite,[status(thm)],[])).
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% 8.46/5.99 inference(quant_inst,[status(thm)],[])).
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% 8.46/5.99 inference(modus_ponens,[status(thm)],[6649, 6648])).
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% 8.46/5.99 inference(unit_resolution,[status(thm)],[6650, 68, 6647])).
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% 8.46/5.99 inference(rewrite,[status(thm)],[])).
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% 8.46/5.99 inference(modus_ponens,[status(thm)],[6654, 6653])).
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% 8.46/5.99 inference(unit_resolution,[status(thm)],[6655, 22, 6652])).
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% 8.46/5.99 inference(rewrite,[status(thm)],[])).
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% 8.46/5.99 inference(rewrite,[status(thm)],[])).
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% 8.46/5.99 inference(monotonicity,[status(thm)],[6658])).
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% 8.46/5.99 inference(transitivity,[status(thm)],[6659, 6657])).
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% 8.46/5.99 inference(unit_resolution,[status(thm)],[6662, 36, 6656])).
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% 8.46/5.99 inference(unit_resolution,[status(thm)],[6663, 6643])).
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% 8.46/5.99 (succ(s203, s204) <=> succ(s203, s204)),
% 8.46/5.99 inference(rewrite,[status(thm)],[])).
% 8.46/5.99 tff(6666,axiom,(succ(s203, s204)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound204')).
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% 8.46/5.99 inference(modus_ponens,[status(thm)],[6666, 6665])).
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% 8.46/5.99 inference(rewrite,[status(thm)],[])).
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% 8.46/5.99 inference(quant_inst,[status(thm)],[])).
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% 8.46/5.99 inference(modus_ponens,[status(thm)],[6669, 6668])).
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% 8.46/5.99 inference(unit_resolution,[status(thm)],[6670, 6667, 141])).
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% 8.46/5.99 inference(unit_resolution,[status(thm)],[6671, 6664])).
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% 8.46/5.99 inference(rewrite,[status(thm)],[])).
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% 8.46/5.99 inference(quant_inst,[status(thm)],[])).
% 8.46/5.99 tff(6675,plain,
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% 8.46/5.99 inference(modus_ponens,[status(thm)],[6674, 6673])).
% 8.46/5.99 tff(6676,plain,
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% 8.46/5.99 inference(unit_resolution,[status(thm)],[6675, 6667, 51])).
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% 8.46/5.99 inference(rewrite,[status(thm)],[])).
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% 8.46/5.99 inference(quant_inst,[status(thm)],[])).
% 8.46/5.99 tff(6679,plain,
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% 8.46/5.99 inference(modus_ponens,[status(thm)],[6678, 6677])).
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% 8.46/5.99 inference(unit_resolution,[status(thm)],[6679, 68, 6676])).
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% 8.46/5.99 inference(unit_resolution,[status(thm)],[6680, 6652])).
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% 8.46/5.99 inference(rewrite,[status(thm)],[])).
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% 8.46/5.99 inference(modus_ponens,[status(thm)],[6683, 6682])).
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% 8.46/5.99 inference(rewrite,[status(thm)],[])).
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% 8.46/5.99 inference(rewrite,[status(thm)],[])).
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% 8.46/5.99 inference(monotonicity,[status(thm)],[6687])).
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% 8.46/5.99 inference(transitivity,[status(thm)],[6688, 6686])).
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% 8.46/5.99 inference(quant_inst,[status(thm)],[])).
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% 8.46/5.99 inference(unit_resolution,[status(thm)],[6692, 6672])).
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% 8.46/5.99 (succ(s202, s203) <=> succ(s202, s203)),
% 8.46/5.99 inference(rewrite,[status(thm)],[])).
% 8.46/5.99 tff(6695,axiom,(succ(s202, s203)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound203')).
% 8.46/5.99 tff(6696,plain,
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% 8.46/5.99 inference(rewrite,[status(thm)],[])).
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% 8.46/5.99 inference(quant_inst,[status(thm)],[])).
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% 8.46/5.99 inference(modus_ponens,[status(thm)],[6698, 6697])).
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% 8.46/5.99 inference(unit_resolution,[status(thm)],[6699, 6696, 141])).
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% 8.46/5.99 inference(unit_resolution,[status(thm)],[6700, 6693])).
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% 8.46/5.99 inference(rewrite,[status(thm)],[])).
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% 8.46/5.99 inference(modus_ponens,[status(thm)],[6703, 6702])).
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% 8.46/5.99 inference(unit_resolution,[status(thm)],[6704, 6696, 51])).
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% 8.46/5.99 inference(rewrite,[status(thm)],[])).
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% 8.46/5.99 inference(quant_inst,[status(thm)],[])).
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% 8.46/5.99 inference(modus_ponens,[status(thm)],[6707, 6706])).
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% 8.46/5.99 inference(rewrite,[status(thm)],[])).
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% 8.46/5.99 inference(rewrite,[status(thm)],[])).
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% 8.46/5.99 inference(rewrite,[status(thm)],[])).
% 8.46/5.99 tff(6724,axiom,(succ(s201, s202)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound202')).
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% 8.46/5.99 inference(rewrite,[status(thm)],[])).
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% 8.46/5.99 inference(quant_inst,[status(thm)],[])).
% 8.46/5.99 tff(6733,plain,
% 8.46/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s201, s202)) | trans(s201, s202)),
% 8.46/5.99 inference(modus_ponens,[status(thm)],[6732, 6731])).
% 8.46/5.99 tff(6734,plain,
% 8.46/5.99 (trans(s201, s202)),
% 8.46/5.99 inference(unit_resolution,[status(thm)],[6733, 6725, 51])).
% 8.46/5.99 tff(6735,plain,
% 8.46/5.99 (((~![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))),
% 8.46/5.99 inference(rewrite,[status(thm)],[])).
% 8.46/5.99 tff(6736,plain,
% 8.46/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s201, s202)) | (~always3(s201)) | always3(s202))),
% 8.46/5.99 inference(quant_inst,[status(thm)],[])).
% 8.46/5.99 tff(6737,plain,
% 8.46/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s201, s202)) | (~always3(s201)) | always3(s202)),
% 8.46/5.99 inference(modus_ponens,[status(thm)],[6736, 6735])).
% 8.46/5.99 tff(6738,plain,
% 8.46/5.99 ((~always3(s201)) | always3(s202)),
% 8.46/5.99 inference(unit_resolution,[status(thm)],[6737, 68, 6734])).
% 8.46/5.99 tff(6739,plain,
% 8.46/5.99 (~always3(s201)),
% 8.46/5.99 inference(unit_resolution,[status(thm)],[6738, 6710])).
% 8.46/5.99 tff(6740,plain,
% 8.46/5.99 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s201) | (~node4(s201)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s201) | (~node4(s201)))),
% 8.46/5.99 inference(rewrite,[status(thm)],[])).
% 8.46/5.99 tff(6741,plain,
% 8.46/5.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s201) | (~node4(s201)))),
% 8.46/5.99 inference(quant_inst,[status(thm)],[])).
% 8.46/5.99 tff(6742,plain,
% 8.46/5.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s201) | (~node4(s201))),
% 8.46/5.99 inference(modus_ponens,[status(thm)],[6741, 6740])).
% 8.46/5.99 tff(6743,plain,
% 8.46/5.99 (~node4(s201)),
% 8.46/5.99 inference(unit_resolution,[status(thm)],[6742, 22, 6739])).
% 8.46/5.99 tff(6744,plain,
% 8.46/5.99 (((~![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)))),
% 8.46/5.99 inference(rewrite,[status(thm)],[])).
% 8.46/5.99 tff(6745,plain,
% 8.46/5.99 ((node4(s201) | (~until5(s201)) | xuntil6(s201)) <=> (xuntil6(s201) | node4(s201) | (~until5(s201)))),
% 8.46/5.99 inference(rewrite,[status(thm)],[])).
% 8.46/5.99 tff(6746,plain,
% 8.46/5.99 (((~![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))))),
% 8.46/5.99 inference(monotonicity,[status(thm)],[6745])).
% 8.46/5.99 tff(6747,plain,
% 8.46/5.99 (((~![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)))),
% 8.46/5.99 inference(transitivity,[status(thm)],[6746, 6744])).
% 8.46/5.99 tff(6748,plain,
% 8.46/5.99 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s201) | (~until5(s201)) | xuntil6(s201))),
% 8.46/5.99 inference(quant_inst,[status(thm)],[])).
% 8.46/5.99 tff(6749,plain,
% 8.46/5.99 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s201) | node4(s201) | (~until5(s201))),
% 8.46/5.99 inference(modus_ponens,[status(thm)],[6748, 6747])).
% 8.46/5.99 tff(6750,plain,
% 8.46/5.99 (xuntil6(s201) | (~until5(s201))),
% 8.46/5.99 inference(unit_resolution,[status(thm)],[6749, 36, 6743])).
% 8.46/5.99 tff(6751,plain,
% 8.46/5.99 (~until5(s201)),
% 8.46/5.99 inference(unit_resolution,[status(thm)],[6750, 6730])).
% 8.46/5.99 tff(6752,plain,
% 8.46/5.99 (succ(s200, s201) <=> succ(s200, s201)),
% 8.46/5.99 inference(rewrite,[status(thm)],[])).
% 8.46/5.99 tff(6753,axiom,(succ(s200, s201)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound201')).
% 8.46/5.99 tff(6754,plain,
% 8.46/5.99 (succ(s200, s201)),
% 8.46/5.99 inference(modus_ponens,[status(thm)],[6753, 6752])).
% 8.46/5.99 tff(6755,plain,
% 8.46/5.99 (((~![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))),
% 8.46/5.99 inference(rewrite,[status(thm)],[])).
% 8.46/5.99 tff(6756,plain,
% 8.46/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s200, s201)) | (~xuntil6(s200)) | until5(s201))),
% 8.46/5.99 inference(quant_inst,[status(thm)],[])).
% 8.46/5.99 tff(6757,plain,
% 8.46/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s200, s201)) | (~xuntil6(s200)) | until5(s201)),
% 8.46/5.99 inference(modus_ponens,[status(thm)],[6756, 6755])).
% 8.46/5.99 tff(6758,plain,
% 8.46/5.99 ((~xuntil6(s200)) | until5(s201)),
% 8.46/5.99 inference(unit_resolution,[status(thm)],[6757, 6754, 141])).
% 8.46/5.99 tff(6759,plain,
% 8.46/5.99 (~xuntil6(s200)),
% 8.46/5.99 inference(unit_resolution,[status(thm)],[6758, 6751])).
% 8.46/5.99 tff(6760,plain,
% 8.46/5.99 (((~![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))),
% 8.46/5.99 inference(rewrite,[status(thm)],[])).
% 8.46/5.99 tff(6761,plain,
% 8.46/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s200, s201)) | trans(s200, s201))),
% 8.46/5.99 inference(quant_inst,[status(thm)],[])).
% 8.46/5.99 tff(6762,plain,
% 8.46/5.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s200, s201)) | trans(s200, s201)),
% 8.46/5.99 inference(modus_ponens,[status(thm)],[6761, 6760])).
% 8.46/5.99 tff(6763,plain,
% 8.46/5.99 (trans(s200, s201)),
% 8.46/5.99 inference(unit_resolution,[status(thm)],[6762, 6754, 51])).
% 8.46/5.99 tff(6764,plain,
% 8.46/5.99 (((~![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))),
% 8.46/5.99 inference(rewrite,[status(thm)],[])).
% 8.46/5.99 tff(6765,plain,
% 8.46/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s200, s201)) | (~always3(s200)) | always3(s201))),
% 8.46/5.99 inference(quant_inst,[status(thm)],[])).
% 8.46/5.99 tff(6766,plain,
% 8.46/5.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s200, s201)) | (~always3(s200)) | always3(s201)),
% 8.46/5.99 inference(modus_ponens,[status(thm)],[6765, 6764])).
% 8.46/5.99 tff(6767,plain,
% 8.46/5.99 ((~always3(s200)) | always3(s201)),
% 8.46/5.99 inference(unit_resolution,[status(thm)],[6766, 68, 6763])).
% 8.46/5.99 tff(6768,plain,
% 8.46/5.99 (~always3(s200)),
% 8.46/5.99 inference(unit_resolution,[status(thm)],[6767, 6739])).
% 8.46/5.99 tff(6769,plain,
% 8.46/5.99 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s200) | (~node4(s200)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s200) | (~node4(s200)))),
% 8.46/5.99 inference(rewrite,[status(thm)],[])).
% 8.46/5.99 tff(6770,plain,
% 8.46/5.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s200) | (~node4(s200)))),
% 8.46/5.99 inference(quant_inst,[status(thm)],[])).
% 8.46/5.99 tff(6771,plain,
% 8.46/5.99 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s200) | (~node4(s200))),
% 8.46/6.00 inference(modus_ponens,[status(thm)],[6770, 6769])).
% 8.46/6.00 tff(6772,plain,
% 8.46/6.00 (~node4(s200)),
% 8.46/6.00 inference(unit_resolution,[status(thm)],[6771, 22, 6768])).
% 8.46/6.00 tff(6773,plain,
% 8.46/6.00 (((~![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)))),
% 8.46/6.00 inference(rewrite,[status(thm)],[])).
% 8.46/6.00 tff(6774,plain,
% 8.46/6.00 ((node4(s200) | (~until5(s200)) | xuntil6(s200)) <=> (xuntil6(s200) | node4(s200) | (~until5(s200)))),
% 8.46/6.00 inference(rewrite,[status(thm)],[])).
% 8.46/6.00 tff(6775,plain,
% 8.46/6.00 (((~![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))))),
% 8.46/6.00 inference(monotonicity,[status(thm)],[6774])).
% 8.46/6.00 tff(6776,plain,
% 8.46/6.00 (((~![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)))),
% 8.46/6.00 inference(transitivity,[status(thm)],[6775, 6773])).
% 8.46/6.00 tff(6777,plain,
% 8.46/6.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s200) | (~until5(s200)) | xuntil6(s200))),
% 8.46/6.00 inference(quant_inst,[status(thm)],[])).
% 8.46/6.00 tff(6778,plain,
% 8.46/6.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s200) | node4(s200) | (~until5(s200))),
% 8.46/6.00 inference(modus_ponens,[status(thm)],[6777, 6776])).
% 8.46/6.00 tff(6779,plain,
% 8.46/6.00 (xuntil6(s200) | (~until5(s200))),
% 8.46/6.00 inference(unit_resolution,[status(thm)],[6778, 36, 6772])).
% 8.46/6.00 tff(6780,plain,
% 8.46/6.00 (~until5(s200)),
% 8.46/6.00 inference(unit_resolution,[status(thm)],[6779, 6759])).
% 8.46/6.00 tff(6781,plain,
% 8.46/6.00 (succ(s199, s200) <=> succ(s199, s200)),
% 8.46/6.00 inference(rewrite,[status(thm)],[])).
% 8.46/6.00 tff(6782,axiom,(succ(s199, s200)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound200')).
% 8.46/6.00 tff(6783,plain,
% 8.46/6.00 (succ(s199, s200)),
% 8.46/6.00 inference(modus_ponens,[status(thm)],[6782, 6781])).
% 8.46/6.00 tff(6784,plain,
% 8.46/6.00 (((~![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))),
% 8.46/6.00 inference(rewrite,[status(thm)],[])).
% 8.46/6.00 tff(6785,plain,
% 8.46/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s199, s200)) | (~xuntil6(s199)) | until5(s200))),
% 8.46/6.00 inference(quant_inst,[status(thm)],[])).
% 8.46/6.00 tff(6786,plain,
% 8.46/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s199, s200)) | (~xuntil6(s199)) | until5(s200)),
% 8.46/6.00 inference(modus_ponens,[status(thm)],[6785, 6784])).
% 8.46/6.00 tff(6787,plain,
% 8.46/6.00 ((~xuntil6(s199)) | until5(s200)),
% 8.46/6.00 inference(unit_resolution,[status(thm)],[6786, 6783, 141])).
% 8.46/6.00 tff(6788,plain,
% 8.46/6.00 (~xuntil6(s199)),
% 8.46/6.00 inference(unit_resolution,[status(thm)],[6787, 6780])).
% 8.46/6.00 tff(6789,plain,
% 8.46/6.00 (((~![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))),
% 8.46/6.00 inference(rewrite,[status(thm)],[])).
% 8.46/6.00 tff(6790,plain,
% 8.46/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s199, s200)) | trans(s199, s200))),
% 8.46/6.00 inference(quant_inst,[status(thm)],[])).
% 8.46/6.00 tff(6791,plain,
% 8.46/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s199, s200)) | trans(s199, s200)),
% 8.46/6.00 inference(modus_ponens,[status(thm)],[6790, 6789])).
% 8.46/6.00 tff(6792,plain,
% 8.46/6.00 (trans(s199, s200)),
% 8.46/6.00 inference(unit_resolution,[status(thm)],[6791, 6783, 51])).
% 8.46/6.00 tff(6793,plain,
% 8.46/6.00 (((~![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))),
% 8.46/6.00 inference(rewrite,[status(thm)],[])).
% 8.46/6.00 tff(6794,plain,
% 8.46/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s200)) | (~always3(s199)) | always3(s200))),
% 8.46/6.00 inference(quant_inst,[status(thm)],[])).
% 8.46/6.00 tff(6795,plain,
% 8.46/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s199, s200)) | (~always3(s199)) | always3(s200)),
% 8.46/6.00 inference(modus_ponens,[status(thm)],[6794, 6793])).
% 8.46/6.00 tff(6796,plain,
% 8.46/6.00 ((~always3(s199)) | always3(s200)),
% 8.46/6.00 inference(unit_resolution,[status(thm)],[6795, 68, 6792])).
% 8.46/6.00 tff(6797,plain,
% 8.46/6.00 (~always3(s199)),
% 8.46/6.00 inference(unit_resolution,[status(thm)],[6796, 6768])).
% 8.46/6.00 tff(6798,plain,
% 8.46/6.00 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s199) | (~node4(s199)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s199) | (~node4(s199)))),
% 8.46/6.00 inference(rewrite,[status(thm)],[])).
% 8.46/6.00 tff(6799,plain,
% 8.46/6.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s199) | (~node4(s199)))),
% 8.46/6.00 inference(quant_inst,[status(thm)],[])).
% 8.46/6.00 tff(6800,plain,
% 8.46/6.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s199) | (~node4(s199))),
% 8.46/6.00 inference(modus_ponens,[status(thm)],[6799, 6798])).
% 8.46/6.00 tff(6801,plain,
% 8.46/6.00 (~node4(s199)),
% 8.46/6.00 inference(unit_resolution,[status(thm)],[6800, 22, 6797])).
% 8.46/6.00 tff(6802,plain,
% 8.46/6.00 (((~![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)))),
% 8.46/6.00 inference(rewrite,[status(thm)],[])).
% 8.46/6.00 tff(6803,plain,
% 8.46/6.00 ((node4(s199) | (~until5(s199)) | xuntil6(s199)) <=> (xuntil6(s199) | node4(s199) | (~until5(s199)))),
% 8.46/6.00 inference(rewrite,[status(thm)],[])).
% 8.46/6.00 tff(6804,plain,
% 8.46/6.00 (((~![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))))),
% 8.46/6.00 inference(monotonicity,[status(thm)],[6803])).
% 8.46/6.00 tff(6805,plain,
% 8.46/6.00 (((~![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)))),
% 8.46/6.00 inference(transitivity,[status(thm)],[6804, 6802])).
% 8.46/6.00 tff(6806,plain,
% 8.46/6.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s199) | (~until5(s199)) | xuntil6(s199))),
% 8.46/6.00 inference(quant_inst,[status(thm)],[])).
% 8.46/6.00 tff(6807,plain,
% 8.46/6.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s199) | node4(s199) | (~until5(s199))),
% 8.46/6.00 inference(modus_ponens,[status(thm)],[6806, 6805])).
% 8.46/6.00 tff(6808,plain,
% 8.46/6.00 (xuntil6(s199) | (~until5(s199))),
% 8.46/6.00 inference(unit_resolution,[status(thm)],[6807, 36, 6801])).
% 8.46/6.00 tff(6809,plain,
% 8.46/6.00 (~until5(s199)),
% 8.46/6.00 inference(unit_resolution,[status(thm)],[6808, 6788])).
% 8.46/6.00 tff(6810,plain,
% 8.46/6.00 (succ(s198, s199) <=> succ(s198, s199)),
% 8.46/6.00 inference(rewrite,[status(thm)],[])).
% 8.46/6.00 tff(6811,axiom,(succ(s198, s199)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound199')).
% 8.46/6.00 tff(6812,plain,
% 8.46/6.00 (succ(s198, s199)),
% 8.46/6.00 inference(modus_ponens,[status(thm)],[6811, 6810])).
% 8.46/6.00 tff(6813,plain,
% 8.56/6.00 (((~![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))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6814,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s198, s199)) | (~xuntil6(s198)) | until5(s199))),
% 8.56/6.00 inference(quant_inst,[status(thm)],[])).
% 8.56/6.00 tff(6815,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s198, s199)) | (~xuntil6(s198)) | until5(s199)),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6814, 6813])).
% 8.56/6.00 tff(6816,plain,
% 8.56/6.00 ((~xuntil6(s198)) | until5(s199)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6815, 6812, 141])).
% 8.56/6.00 tff(6817,plain,
% 8.56/6.00 (~xuntil6(s198)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6816, 6809])).
% 8.56/6.00 tff(6818,plain,
% 8.56/6.00 (((~![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))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6819,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s198, s199)) | trans(s198, s199))),
% 8.56/6.00 inference(quant_inst,[status(thm)],[])).
% 8.56/6.00 tff(6820,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s198, s199)) | trans(s198, s199)),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6819, 6818])).
% 8.56/6.00 tff(6821,plain,
% 8.56/6.00 (trans(s198, s199)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6820, 6812, 51])).
% 8.56/6.00 tff(6822,plain,
% 8.56/6.00 (((~![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))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6823,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s198, s199)) | (~always3(s198)) | always3(s199))),
% 8.56/6.00 inference(quant_inst,[status(thm)],[])).
% 8.56/6.00 tff(6824,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s198, s199)) | (~always3(s198)) | always3(s199)),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6823, 6822])).
% 8.56/6.00 tff(6825,plain,
% 8.56/6.00 ((~always3(s198)) | always3(s199)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6824, 68, 6821])).
% 8.56/6.00 tff(6826,plain,
% 8.56/6.00 (~always3(s198)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6825, 6797])).
% 8.56/6.00 tff(6827,plain,
% 8.56/6.00 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s198) | (~node4(s198)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s198) | (~node4(s198)))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6828,plain,
% 8.56/6.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s198) | (~node4(s198)))),
% 8.56/6.00 inference(quant_inst,[status(thm)],[])).
% 8.56/6.00 tff(6829,plain,
% 8.56/6.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s198) | (~node4(s198))),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6828, 6827])).
% 8.56/6.00 tff(6830,plain,
% 8.56/6.00 (~node4(s198)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6829, 22, 6826])).
% 8.56/6.00 tff(6831,plain,
% 8.56/6.00 (((~![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)))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6832,plain,
% 8.56/6.00 ((node4(s198) | (~until5(s198)) | xuntil6(s198)) <=> (xuntil6(s198) | node4(s198) | (~until5(s198)))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6833,plain,
% 8.56/6.00 (((~![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))))),
% 8.56/6.00 inference(monotonicity,[status(thm)],[6832])).
% 8.56/6.00 tff(6834,plain,
% 8.56/6.00 (((~![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)))),
% 8.56/6.00 inference(transitivity,[status(thm)],[6833, 6831])).
% 8.56/6.00 tff(6835,plain,
% 8.56/6.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s198) | (~until5(s198)) | xuntil6(s198))),
% 8.56/6.00 inference(quant_inst,[status(thm)],[])).
% 8.56/6.00 tff(6836,plain,
% 8.56/6.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s198) | node4(s198) | (~until5(s198))),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6835, 6834])).
% 8.56/6.00 tff(6837,plain,
% 8.56/6.00 (xuntil6(s198) | (~until5(s198))),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6836, 36, 6830])).
% 8.56/6.00 tff(6838,plain,
% 8.56/6.00 (~until5(s198)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6837, 6817])).
% 8.56/6.00 tff(6839,plain,
% 8.56/6.00 (succ(s197, s198) <=> succ(s197, s198)),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6840,axiom,(succ(s197, s198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound198')).
% 8.56/6.00 tff(6841,plain,
% 8.56/6.00 (succ(s197, s198)),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6840, 6839])).
% 8.56/6.00 tff(6842,plain,
% 8.56/6.00 (((~![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))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6843,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s197, s198)) | (~xuntil6(s197)) | until5(s198))),
% 8.56/6.00 inference(quant_inst,[status(thm)],[])).
% 8.56/6.00 tff(6844,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s197, s198)) | (~xuntil6(s197)) | until5(s198)),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6843, 6842])).
% 8.56/6.00 tff(6845,plain,
% 8.56/6.00 ((~xuntil6(s197)) | until5(s198)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6844, 6841, 141])).
% 8.56/6.00 tff(6846,plain,
% 8.56/6.00 (~xuntil6(s197)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6845, 6838])).
% 8.56/6.00 tff(6847,plain,
% 8.56/6.00 (((~![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))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6848,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s197, s198)) | trans(s197, s198))),
% 8.56/6.00 inference(quant_inst,[status(thm)],[])).
% 8.56/6.00 tff(6849,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s197, s198)) | trans(s197, s198)),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6848, 6847])).
% 8.56/6.00 tff(6850,plain,
% 8.56/6.00 (trans(s197, s198)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6849, 6841, 51])).
% 8.56/6.00 tff(6851,plain,
% 8.56/6.00 (((~![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))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6852,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s197, s198)) | (~always3(s197)) | always3(s198))),
% 8.56/6.00 inference(quant_inst,[status(thm)],[])).
% 8.56/6.00 tff(6853,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s197, s198)) | (~always3(s197)) | always3(s198)),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6852, 6851])).
% 8.56/6.00 tff(6854,plain,
% 8.56/6.00 ((~always3(s197)) | always3(s198)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6853, 68, 6850])).
% 8.56/6.00 tff(6855,plain,
% 8.56/6.00 (~always3(s197)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6854, 6826])).
% 8.56/6.00 tff(6856,plain,
% 8.56/6.00 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s197) | (~node4(s197)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s197) | (~node4(s197)))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6857,plain,
% 8.56/6.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s197) | (~node4(s197)))),
% 8.56/6.00 inference(quant_inst,[status(thm)],[])).
% 8.56/6.00 tff(6858,plain,
% 8.56/6.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s197) | (~node4(s197))),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6857, 6856])).
% 8.56/6.00 tff(6859,plain,
% 8.56/6.00 (~node4(s197)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6858, 22, 6855])).
% 8.56/6.00 tff(6860,plain,
% 8.56/6.00 (((~![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)))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6861,plain,
% 8.56/6.00 ((node4(s197) | (~until5(s197)) | xuntil6(s197)) <=> (xuntil6(s197) | node4(s197) | (~until5(s197)))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6862,plain,
% 8.56/6.00 (((~![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))))),
% 8.56/6.00 inference(monotonicity,[status(thm)],[6861])).
% 8.56/6.00 tff(6863,plain,
% 8.56/6.00 (((~![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)))),
% 8.56/6.00 inference(transitivity,[status(thm)],[6862, 6860])).
% 8.56/6.00 tff(6864,plain,
% 8.56/6.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s197) | (~until5(s197)) | xuntil6(s197))),
% 8.56/6.00 inference(quant_inst,[status(thm)],[])).
% 8.56/6.00 tff(6865,plain,
% 8.56/6.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s197) | node4(s197) | (~until5(s197))),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6864, 6863])).
% 8.56/6.00 tff(6866,plain,
% 8.56/6.00 (xuntil6(s197) | (~until5(s197))),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6865, 36, 6859])).
% 8.56/6.00 tff(6867,plain,
% 8.56/6.00 (~until5(s197)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6866, 6846])).
% 8.56/6.00 tff(6868,plain,
% 8.56/6.00 (succ(s196, s197) <=> succ(s196, s197)),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6869,axiom,(succ(s196, s197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound197')).
% 8.56/6.00 tff(6870,plain,
% 8.56/6.00 (succ(s196, s197)),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6869, 6868])).
% 8.56/6.00 tff(6871,plain,
% 8.56/6.00 (((~![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))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6872,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s196, s197)) | (~xuntil6(s196)) | until5(s197))),
% 8.56/6.00 inference(quant_inst,[status(thm)],[])).
% 8.56/6.00 tff(6873,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s196, s197)) | (~xuntil6(s196)) | until5(s197)),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6872, 6871])).
% 8.56/6.00 tff(6874,plain,
% 8.56/6.00 ((~xuntil6(s196)) | until5(s197)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6873, 6870, 141])).
% 8.56/6.00 tff(6875,plain,
% 8.56/6.00 (~xuntil6(s196)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6874, 6867])).
% 8.56/6.00 tff(6876,plain,
% 8.56/6.00 (((~![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))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6877,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s196, s197)) | trans(s196, s197))),
% 8.56/6.00 inference(quant_inst,[status(thm)],[])).
% 8.56/6.00 tff(6878,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s196, s197)) | trans(s196, s197)),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6877, 6876])).
% 8.56/6.00 tff(6879,plain,
% 8.56/6.00 (trans(s196, s197)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6878, 6870, 51])).
% 8.56/6.00 tff(6880,plain,
% 8.56/6.00 (((~![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))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6881,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s196, s197)) | (~always3(s196)) | always3(s197))),
% 8.56/6.00 inference(quant_inst,[status(thm)],[])).
% 8.56/6.00 tff(6882,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s196, s197)) | (~always3(s196)) | always3(s197)),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6881, 6880])).
% 8.56/6.00 tff(6883,plain,
% 8.56/6.00 ((~always3(s196)) | always3(s197)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6882, 68, 6879])).
% 8.56/6.00 tff(6884,plain,
% 8.56/6.00 (~always3(s196)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6883, 6855])).
% 8.56/6.00 tff(6885,plain,
% 8.56/6.00 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s196) | (~node4(s196)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s196) | (~node4(s196)))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6886,plain,
% 8.56/6.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s196) | (~node4(s196)))),
% 8.56/6.00 inference(quant_inst,[status(thm)],[])).
% 8.56/6.00 tff(6887,plain,
% 8.56/6.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s196) | (~node4(s196))),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6886, 6885])).
% 8.56/6.00 tff(6888,plain,
% 8.56/6.00 (~node4(s196)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6887, 22, 6884])).
% 8.56/6.00 tff(6889,plain,
% 8.56/6.00 (((~![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)))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6890,plain,
% 8.56/6.00 ((node4(s196) | (~until5(s196)) | xuntil6(s196)) <=> (xuntil6(s196) | node4(s196) | (~until5(s196)))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6891,plain,
% 8.56/6.00 (((~![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))))),
% 8.56/6.00 inference(monotonicity,[status(thm)],[6890])).
% 8.56/6.00 tff(6892,plain,
% 8.56/6.00 (((~![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)))),
% 8.56/6.00 inference(transitivity,[status(thm)],[6891, 6889])).
% 8.56/6.00 tff(6893,plain,
% 8.56/6.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s196) | (~until5(s196)) | xuntil6(s196))),
% 8.56/6.00 inference(quant_inst,[status(thm)],[])).
% 8.56/6.00 tff(6894,plain,
% 8.56/6.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s196) | node4(s196) | (~until5(s196))),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6893, 6892])).
% 8.56/6.00 tff(6895,plain,
% 8.56/6.00 (xuntil6(s196) | (~until5(s196))),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6894, 36, 6888])).
% 8.56/6.00 tff(6896,plain,
% 8.56/6.00 (~until5(s196)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6895, 6875])).
% 8.56/6.00 tff(6897,plain,
% 8.56/6.00 (succ(s195, s196) <=> succ(s195, s196)),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6898,axiom,(succ(s195, s196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound196')).
% 8.56/6.00 tff(6899,plain,
% 8.56/6.00 (succ(s195, s196)),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6898, 6897])).
% 8.56/6.00 tff(6900,plain,
% 8.56/6.00 (((~![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))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6901,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s195, s196)) | (~xuntil6(s195)) | until5(s196))),
% 8.56/6.00 inference(quant_inst,[status(thm)],[])).
% 8.56/6.00 tff(6902,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s195, s196)) | (~xuntil6(s195)) | until5(s196)),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6901, 6900])).
% 8.56/6.00 tff(6903,plain,
% 8.56/6.00 ((~xuntil6(s195)) | until5(s196)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6902, 6899, 141])).
% 8.56/6.00 tff(6904,plain,
% 8.56/6.00 (~xuntil6(s195)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6903, 6896])).
% 8.56/6.00 tff(6905,plain,
% 8.56/6.00 (((~![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))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6906,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s195, s196)) | trans(s195, s196))),
% 8.56/6.00 inference(quant_inst,[status(thm)],[])).
% 8.56/6.00 tff(6907,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s195, s196)) | trans(s195, s196)),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6906, 6905])).
% 8.56/6.00 tff(6908,plain,
% 8.56/6.00 (trans(s195, s196)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6907, 6899, 51])).
% 8.56/6.00 tff(6909,plain,
% 8.56/6.00 (((~![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))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6910,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s195, s196)) | (~always3(s195)) | always3(s196))),
% 8.56/6.00 inference(quant_inst,[status(thm)],[])).
% 8.56/6.00 tff(6911,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s195, s196)) | (~always3(s195)) | always3(s196)),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6910, 6909])).
% 8.56/6.00 tff(6912,plain,
% 8.56/6.00 ((~always3(s195)) | always3(s196)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6911, 68, 6908])).
% 8.56/6.00 tff(6913,plain,
% 8.56/6.00 (~always3(s195)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6912, 6884])).
% 8.56/6.00 tff(6914,plain,
% 8.56/6.00 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s195) | (~node4(s195)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s195) | (~node4(s195)))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6915,plain,
% 8.56/6.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s195) | (~node4(s195)))),
% 8.56/6.00 inference(quant_inst,[status(thm)],[])).
% 8.56/6.00 tff(6916,plain,
% 8.56/6.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s195) | (~node4(s195))),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6915, 6914])).
% 8.56/6.00 tff(6917,plain,
% 8.56/6.00 (~node4(s195)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6916, 22, 6913])).
% 8.56/6.00 tff(6918,plain,
% 8.56/6.00 (((~![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)))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6919,plain,
% 8.56/6.00 ((node4(s195) | (~until5(s195)) | xuntil6(s195)) <=> (xuntil6(s195) | node4(s195) | (~until5(s195)))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6920,plain,
% 8.56/6.00 (((~![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))))),
% 8.56/6.00 inference(monotonicity,[status(thm)],[6919])).
% 8.56/6.00 tff(6921,plain,
% 8.56/6.00 (((~![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)))),
% 8.56/6.00 inference(transitivity,[status(thm)],[6920, 6918])).
% 8.56/6.00 tff(6922,plain,
% 8.56/6.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s195) | (~until5(s195)) | xuntil6(s195))),
% 8.56/6.00 inference(quant_inst,[status(thm)],[])).
% 8.56/6.00 tff(6923,plain,
% 8.56/6.00 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s195) | node4(s195) | (~until5(s195))),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6922, 6921])).
% 8.56/6.00 tff(6924,plain,
% 8.56/6.00 (xuntil6(s195) | (~until5(s195))),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6923, 36, 6917])).
% 8.56/6.00 tff(6925,plain,
% 8.56/6.00 (~until5(s195)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6924, 6904])).
% 8.56/6.00 tff(6926,plain,
% 8.56/6.00 (succ(s194, s195) <=> succ(s194, s195)),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6927,axiom,(succ(s194, s195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound195')).
% 8.56/6.00 tff(6928,plain,
% 8.56/6.00 (succ(s194, s195)),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6927, 6926])).
% 8.56/6.00 tff(6929,plain,
% 8.56/6.00 (((~![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))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6930,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s194, s195)) | (~xuntil6(s194)) | until5(s195))),
% 8.56/6.00 inference(quant_inst,[status(thm)],[])).
% 8.56/6.00 tff(6931,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s194, s195)) | (~xuntil6(s194)) | until5(s195)),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6930, 6929])).
% 8.56/6.00 tff(6932,plain,
% 8.56/6.00 ((~xuntil6(s194)) | until5(s195)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6931, 6928, 141])).
% 8.56/6.00 tff(6933,plain,
% 8.56/6.00 (~xuntil6(s194)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6932, 6925])).
% 8.56/6.00 tff(6934,plain,
% 8.56/6.00 (((~![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))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6935,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s194, s195)) | trans(s194, s195))),
% 8.56/6.00 inference(quant_inst,[status(thm)],[])).
% 8.56/6.00 tff(6936,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s194, s195)) | trans(s194, s195)),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6935, 6934])).
% 8.56/6.00 tff(6937,plain,
% 8.56/6.00 (trans(s194, s195)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6936, 6928, 51])).
% 8.56/6.00 tff(6938,plain,
% 8.56/6.00 (((~![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))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6939,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s194, s195)) | (~always3(s194)) | always3(s195))),
% 8.56/6.00 inference(quant_inst,[status(thm)],[])).
% 8.56/6.00 tff(6940,plain,
% 8.56/6.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s194, s195)) | (~always3(s194)) | always3(s195)),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6939, 6938])).
% 8.56/6.00 tff(6941,plain,
% 8.56/6.00 ((~always3(s194)) | always3(s195)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6940, 68, 6937])).
% 8.56/6.00 tff(6942,plain,
% 8.56/6.00 (~always3(s194)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6941, 6913])).
% 8.56/6.00 tff(6943,plain,
% 8.56/6.00 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s194) | (~node4(s194)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s194) | (~node4(s194)))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6944,plain,
% 8.56/6.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s194) | (~node4(s194)))),
% 8.56/6.00 inference(quant_inst,[status(thm)],[])).
% 8.56/6.00 tff(6945,plain,
% 8.56/6.00 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s194) | (~node4(s194))),
% 8.56/6.00 inference(modus_ponens,[status(thm)],[6944, 6943])).
% 8.56/6.00 tff(6946,plain,
% 8.56/6.00 (~node4(s194)),
% 8.56/6.00 inference(unit_resolution,[status(thm)],[6945, 22, 6942])).
% 8.56/6.00 tff(6947,plain,
% 8.56/6.00 (((~![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)))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6948,plain,
% 8.56/6.00 ((node4(s194) | (~until5(s194)) | xuntil6(s194)) <=> (xuntil6(s194) | node4(s194) | (~until5(s194)))),
% 8.56/6.00 inference(rewrite,[status(thm)],[])).
% 8.56/6.00 tff(6949,plain,
% 8.56/6.00 (((~![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))))),
% 8.56/6.00 inference(monotonicity,[status(thm)],[6948])).
% 8.56/6.00 tff(6950,plain,
% 8.56/6.00 (((~![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)))),
% 8.56/6.00 inference(transitivity,[status(thm)],[6949, 6947])).
% 8.56/6.00 tff(6951,plain,
% 8.56/6.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s194) | (~until5(s194)) | xuntil6(s194))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(6952,plain,
% 8.56/6.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s194) | node4(s194) | (~until5(s194))),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[6951, 6950])).
% 8.56/6.01 tff(6953,plain,
% 8.56/6.01 (xuntil6(s194) | (~until5(s194))),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[6952, 36, 6946])).
% 8.56/6.01 tff(6954,plain,
% 8.56/6.01 (~until5(s194)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[6953, 6933])).
% 8.56/6.01 tff(6955,plain,
% 8.56/6.01 (succ(s193, s194) <=> succ(s193, s194)),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(6956,axiom,(succ(s193, s194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound194')).
% 8.56/6.01 tff(6957,plain,
% 8.56/6.01 (succ(s193, s194)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[6956, 6955])).
% 8.56/6.01 tff(6958,plain,
% 8.56/6.01 (((~![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))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(6959,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s193, s194)) | (~xuntil6(s193)) | until5(s194))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(6960,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s193, s194)) | (~xuntil6(s193)) | until5(s194)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[6959, 6958])).
% 8.56/6.01 tff(6961,plain,
% 8.56/6.01 ((~xuntil6(s193)) | until5(s194)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[6960, 6957, 141])).
% 8.56/6.01 tff(6962,plain,
% 8.56/6.01 (~xuntil6(s193)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[6961, 6954])).
% 8.56/6.01 tff(6963,plain,
% 8.56/6.01 (((~![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))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(6964,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s193, s194)) | trans(s193, s194))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(6965,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s193, s194)) | trans(s193, s194)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[6964, 6963])).
% 8.56/6.01 tff(6966,plain,
% 8.56/6.01 (trans(s193, s194)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[6965, 6957, 51])).
% 8.56/6.01 tff(6967,plain,
% 8.56/6.01 (((~![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))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(6968,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s193, s194)) | (~always3(s193)) | always3(s194))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(6969,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s193, s194)) | (~always3(s193)) | always3(s194)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[6968, 6967])).
% 8.56/6.01 tff(6970,plain,
% 8.56/6.01 ((~always3(s193)) | always3(s194)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[6969, 68, 6966])).
% 8.56/6.01 tff(6971,plain,
% 8.56/6.01 (~always3(s193)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[6970, 6942])).
% 8.56/6.01 tff(6972,plain,
% 8.56/6.01 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s193) | (~node4(s193)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s193) | (~node4(s193)))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(6973,plain,
% 8.56/6.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s193) | (~node4(s193)))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(6974,plain,
% 8.56/6.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s193) | (~node4(s193))),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[6973, 6972])).
% 8.56/6.01 tff(6975,plain,
% 8.56/6.01 (~node4(s193)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[6974, 22, 6971])).
% 8.56/6.01 tff(6976,plain,
% 8.56/6.01 (((~![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)))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(6977,plain,
% 8.56/6.01 ((node4(s193) | (~until5(s193)) | xuntil6(s193)) <=> (xuntil6(s193) | node4(s193) | (~until5(s193)))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(6978,plain,
% 8.56/6.01 (((~![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))))),
% 8.56/6.01 inference(monotonicity,[status(thm)],[6977])).
% 8.56/6.01 tff(6979,plain,
% 8.56/6.01 (((~![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)))),
% 8.56/6.01 inference(transitivity,[status(thm)],[6978, 6976])).
% 8.56/6.01 tff(6980,plain,
% 8.56/6.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s193) | (~until5(s193)) | xuntil6(s193))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(6981,plain,
% 8.56/6.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s193) | node4(s193) | (~until5(s193))),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[6980, 6979])).
% 8.56/6.01 tff(6982,plain,
% 8.56/6.01 (xuntil6(s193) | (~until5(s193))),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[6981, 36, 6975])).
% 8.56/6.01 tff(6983,plain,
% 8.56/6.01 (~until5(s193)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[6982, 6962])).
% 8.56/6.01 tff(6984,plain,
% 8.56/6.01 (succ(s192, s193) <=> succ(s192, s193)),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(6985,axiom,(succ(s192, s193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound193')).
% 8.56/6.01 tff(6986,plain,
% 8.56/6.01 (succ(s192, s193)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[6985, 6984])).
% 8.56/6.01 tff(6987,plain,
% 8.56/6.01 (((~![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))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(6988,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s192, s193)) | (~xuntil6(s192)) | until5(s193))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(6989,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s192, s193)) | (~xuntil6(s192)) | until5(s193)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[6988, 6987])).
% 8.56/6.01 tff(6990,plain,
% 8.56/6.01 ((~xuntil6(s192)) | until5(s193)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[6989, 6986, 141])).
% 8.56/6.01 tff(6991,plain,
% 8.56/6.01 (~xuntil6(s192)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[6990, 6983])).
% 8.56/6.01 tff(6992,plain,
% 8.56/6.01 (((~![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))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(6993,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s192, s193)) | trans(s192, s193))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(6994,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s192, s193)) | trans(s192, s193)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[6993, 6992])).
% 8.56/6.01 tff(6995,plain,
% 8.56/6.01 (trans(s192, s193)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[6994, 6986, 51])).
% 8.56/6.01 tff(6996,plain,
% 8.56/6.01 (((~![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))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(6997,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s192, s193)) | (~always3(s192)) | always3(s193))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(6998,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s192, s193)) | (~always3(s192)) | always3(s193)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[6997, 6996])).
% 8.56/6.01 tff(6999,plain,
% 8.56/6.01 ((~always3(s192)) | always3(s193)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[6998, 68, 6995])).
% 8.56/6.01 tff(7000,plain,
% 8.56/6.01 (~always3(s192)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[6999, 6971])).
% 8.56/6.01 tff(7001,plain,
% 8.56/6.01 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s192) | (~node4(s192)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s192) | (~node4(s192)))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7002,plain,
% 8.56/6.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s192) | (~node4(s192)))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7003,plain,
% 8.56/6.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s192) | (~node4(s192))),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7002, 7001])).
% 8.56/6.01 tff(7004,plain,
% 8.56/6.01 (~node4(s192)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7003, 22, 7000])).
% 8.56/6.01 tff(7005,plain,
% 8.56/6.01 (((~![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)))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7006,plain,
% 8.56/6.01 ((node4(s192) | (~until5(s192)) | xuntil6(s192)) <=> (xuntil6(s192) | node4(s192) | (~until5(s192)))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7007,plain,
% 8.56/6.01 (((~![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))))),
% 8.56/6.01 inference(monotonicity,[status(thm)],[7006])).
% 8.56/6.01 tff(7008,plain,
% 8.56/6.01 (((~![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)))),
% 8.56/6.01 inference(transitivity,[status(thm)],[7007, 7005])).
% 8.56/6.01 tff(7009,plain,
% 8.56/6.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s192) | (~until5(s192)) | xuntil6(s192))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7010,plain,
% 8.56/6.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s192) | node4(s192) | (~until5(s192))),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7009, 7008])).
% 8.56/6.01 tff(7011,plain,
% 8.56/6.01 (xuntil6(s192) | (~until5(s192))),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7010, 36, 7004])).
% 8.56/6.01 tff(7012,plain,
% 8.56/6.01 (~until5(s192)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7011, 6991])).
% 8.56/6.01 tff(7013,plain,
% 8.56/6.01 (succ(s191, s192) <=> succ(s191, s192)),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7014,axiom,(succ(s191, s192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound192')).
% 8.56/6.01 tff(7015,plain,
% 8.56/6.01 (succ(s191, s192)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7014, 7013])).
% 8.56/6.01 tff(7016,plain,
% 8.56/6.01 (((~![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))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7017,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s191, s192)) | (~xuntil6(s191)) | until5(s192))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7018,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s191, s192)) | (~xuntil6(s191)) | until5(s192)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7017, 7016])).
% 8.56/6.01 tff(7019,plain,
% 8.56/6.01 ((~xuntil6(s191)) | until5(s192)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7018, 7015, 141])).
% 8.56/6.01 tff(7020,plain,
% 8.56/6.01 (~xuntil6(s191)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7019, 7012])).
% 8.56/6.01 tff(7021,plain,
% 8.56/6.01 (((~![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))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7022,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s191, s192)) | trans(s191, s192))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7023,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s191, s192)) | trans(s191, s192)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7022, 7021])).
% 8.56/6.01 tff(7024,plain,
% 8.56/6.01 (trans(s191, s192)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7023, 7015, 51])).
% 8.56/6.01 tff(7025,plain,
% 8.56/6.01 (((~![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))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7026,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s191, s192)) | (~always3(s191)) | always3(s192))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7027,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s191, s192)) | (~always3(s191)) | always3(s192)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7026, 7025])).
% 8.56/6.01 tff(7028,plain,
% 8.56/6.01 ((~always3(s191)) | always3(s192)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7027, 68, 7024])).
% 8.56/6.01 tff(7029,plain,
% 8.56/6.01 (~always3(s191)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7028, 7000])).
% 8.56/6.01 tff(7030,plain,
% 8.56/6.01 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s191) | (~node4(s191)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s191) | (~node4(s191)))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7031,plain,
% 8.56/6.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s191) | (~node4(s191)))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7032,plain,
% 8.56/6.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s191) | (~node4(s191))),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7031, 7030])).
% 8.56/6.01 tff(7033,plain,
% 8.56/6.01 (~node4(s191)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7032, 22, 7029])).
% 8.56/6.01 tff(7034,plain,
% 8.56/6.01 (((~![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)))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7035,plain,
% 8.56/6.01 ((node4(s191) | (~until5(s191)) | xuntil6(s191)) <=> (xuntil6(s191) | node4(s191) | (~until5(s191)))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7036,plain,
% 8.56/6.01 (((~![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))))),
% 8.56/6.01 inference(monotonicity,[status(thm)],[7035])).
% 8.56/6.01 tff(7037,plain,
% 8.56/6.01 (((~![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)))),
% 8.56/6.01 inference(transitivity,[status(thm)],[7036, 7034])).
% 8.56/6.01 tff(7038,plain,
% 8.56/6.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s191) | (~until5(s191)) | xuntil6(s191))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7039,plain,
% 8.56/6.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s191) | node4(s191) | (~until5(s191))),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7038, 7037])).
% 8.56/6.01 tff(7040,plain,
% 8.56/6.01 (xuntil6(s191) | (~until5(s191))),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7039, 36, 7033])).
% 8.56/6.01 tff(7041,plain,
% 8.56/6.01 (~until5(s191)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7040, 7020])).
% 8.56/6.01 tff(7042,plain,
% 8.56/6.01 (succ(s190, s191) <=> succ(s190, s191)),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7043,axiom,(succ(s190, s191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound191')).
% 8.56/6.01 tff(7044,plain,
% 8.56/6.01 (succ(s190, s191)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7043, 7042])).
% 8.56/6.01 tff(7045,plain,
% 8.56/6.01 (((~![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))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7046,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s190, s191)) | (~xuntil6(s190)) | until5(s191))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7047,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s190, s191)) | (~xuntil6(s190)) | until5(s191)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7046, 7045])).
% 8.56/6.01 tff(7048,plain,
% 8.56/6.01 ((~xuntil6(s190)) | until5(s191)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7047, 7044, 141])).
% 8.56/6.01 tff(7049,plain,
% 8.56/6.01 (~xuntil6(s190)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7048, 7041])).
% 8.56/6.01 tff(7050,plain,
% 8.56/6.01 (((~![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))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7051,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s190, s191)) | trans(s190, s191))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7052,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s190, s191)) | trans(s190, s191)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7051, 7050])).
% 8.56/6.01 tff(7053,plain,
% 8.56/6.01 (trans(s190, s191)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7052, 7044, 51])).
% 8.56/6.01 tff(7054,plain,
% 8.56/6.01 (((~![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))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7055,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s190, s191)) | (~always3(s190)) | always3(s191))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7056,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s190, s191)) | (~always3(s190)) | always3(s191)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7055, 7054])).
% 8.56/6.01 tff(7057,plain,
% 8.56/6.01 ((~always3(s190)) | always3(s191)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7056, 68, 7053])).
% 8.56/6.01 tff(7058,plain,
% 8.56/6.01 (~always3(s190)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7057, 7029])).
% 8.56/6.01 tff(7059,plain,
% 8.56/6.01 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s190) | (~node4(s190)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s190) | (~node4(s190)))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7060,plain,
% 8.56/6.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s190) | (~node4(s190)))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7061,plain,
% 8.56/6.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s190) | (~node4(s190))),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7060, 7059])).
% 8.56/6.01 tff(7062,plain,
% 8.56/6.01 (~node4(s190)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7061, 22, 7058])).
% 8.56/6.01 tff(7063,plain,
% 8.56/6.01 (((~![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)))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7064,plain,
% 8.56/6.01 ((node4(s190) | (~until5(s190)) | xuntil6(s190)) <=> (xuntil6(s190) | node4(s190) | (~until5(s190)))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7065,plain,
% 8.56/6.01 (((~![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))))),
% 8.56/6.01 inference(monotonicity,[status(thm)],[7064])).
% 8.56/6.01 tff(7066,plain,
% 8.56/6.01 (((~![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)))),
% 8.56/6.01 inference(transitivity,[status(thm)],[7065, 7063])).
% 8.56/6.01 tff(7067,plain,
% 8.56/6.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s190) | (~until5(s190)) | xuntil6(s190))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7068,plain,
% 8.56/6.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s190) | node4(s190) | (~until5(s190))),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7067, 7066])).
% 8.56/6.01 tff(7069,plain,
% 8.56/6.01 (xuntil6(s190) | (~until5(s190))),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7068, 36, 7062])).
% 8.56/6.01 tff(7070,plain,
% 8.56/6.01 (~until5(s190)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7069, 7049])).
% 8.56/6.01 tff(7071,plain,
% 8.56/6.01 (succ(s189, s190) <=> succ(s189, s190)),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7072,axiom,(succ(s189, s190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound190')).
% 8.56/6.01 tff(7073,plain,
% 8.56/6.01 (succ(s189, s190)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7072, 7071])).
% 8.56/6.01 tff(7074,plain,
% 8.56/6.01 (((~![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))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7075,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s189, s190)) | (~xuntil6(s189)) | until5(s190))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7076,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s189, s190)) | (~xuntil6(s189)) | until5(s190)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7075, 7074])).
% 8.56/6.01 tff(7077,plain,
% 8.56/6.01 ((~xuntil6(s189)) | until5(s190)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7076, 7073, 141])).
% 8.56/6.01 tff(7078,plain,
% 8.56/6.01 (~xuntil6(s189)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7077, 7070])).
% 8.56/6.01 tff(7079,plain,
% 8.56/6.01 (((~![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))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7080,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s189, s190)) | trans(s189, s190))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7081,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s189, s190)) | trans(s189, s190)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7080, 7079])).
% 8.56/6.01 tff(7082,plain,
% 8.56/6.01 (trans(s189, s190)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7081, 7073, 51])).
% 8.56/6.01 tff(7083,plain,
% 8.56/6.01 (((~![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))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7084,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s189, s190)) | (~always3(s189)) | always3(s190))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7085,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s189, s190)) | (~always3(s189)) | always3(s190)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7084, 7083])).
% 8.56/6.01 tff(7086,plain,
% 8.56/6.01 ((~always3(s189)) | always3(s190)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7085, 68, 7082])).
% 8.56/6.01 tff(7087,plain,
% 8.56/6.01 (~always3(s189)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7086, 7058])).
% 8.56/6.01 tff(7088,plain,
% 8.56/6.01 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s189) | (~node4(s189)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s189) | (~node4(s189)))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7089,plain,
% 8.56/6.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s189) | (~node4(s189)))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7090,plain,
% 8.56/6.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s189) | (~node4(s189))),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7089, 7088])).
% 8.56/6.01 tff(7091,plain,
% 8.56/6.01 (~node4(s189)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7090, 22, 7087])).
% 8.56/6.01 tff(7092,plain,
% 8.56/6.01 (((~![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)))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7093,plain,
% 8.56/6.01 ((node4(s189) | (~until5(s189)) | xuntil6(s189)) <=> (xuntil6(s189) | node4(s189) | (~until5(s189)))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7094,plain,
% 8.56/6.01 (((~![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))))),
% 8.56/6.01 inference(monotonicity,[status(thm)],[7093])).
% 8.56/6.01 tff(7095,plain,
% 8.56/6.01 (((~![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)))),
% 8.56/6.01 inference(transitivity,[status(thm)],[7094, 7092])).
% 8.56/6.01 tff(7096,plain,
% 8.56/6.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s189) | (~until5(s189)) | xuntil6(s189))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7097,plain,
% 8.56/6.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s189) | node4(s189) | (~until5(s189))),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7096, 7095])).
% 8.56/6.01 tff(7098,plain,
% 8.56/6.01 (xuntil6(s189) | (~until5(s189))),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7097, 36, 7091])).
% 8.56/6.01 tff(7099,plain,
% 8.56/6.01 (~until5(s189)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7098, 7078])).
% 8.56/6.01 tff(7100,plain,
% 8.56/6.01 (succ(s188, s189) <=> succ(s188, s189)),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7101,axiom,(succ(s188, s189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound189')).
% 8.56/6.01 tff(7102,plain,
% 8.56/6.01 (succ(s188, s189)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7101, 7100])).
% 8.56/6.01 tff(7103,plain,
% 8.56/6.01 (((~![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))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7104,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s188, s189)) | (~xuntil6(s188)) | until5(s189))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7105,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s188, s189)) | (~xuntil6(s188)) | until5(s189)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7104, 7103])).
% 8.56/6.01 tff(7106,plain,
% 8.56/6.01 ((~xuntil6(s188)) | until5(s189)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7105, 7102, 141])).
% 8.56/6.01 tff(7107,plain,
% 8.56/6.01 (~xuntil6(s188)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7106, 7099])).
% 8.56/6.01 tff(7108,plain,
% 8.56/6.01 (((~![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))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7109,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s188, s189)) | trans(s188, s189))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7110,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s188, s189)) | trans(s188, s189)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7109, 7108])).
% 8.56/6.01 tff(7111,plain,
% 8.56/6.01 (trans(s188, s189)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7110, 7102, 51])).
% 8.56/6.01 tff(7112,plain,
% 8.56/6.01 (((~![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))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7113,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s188, s189)) | (~always3(s188)) | always3(s189))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7114,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s188, s189)) | (~always3(s188)) | always3(s189)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7113, 7112])).
% 8.56/6.01 tff(7115,plain,
% 8.56/6.01 ((~always3(s188)) | always3(s189)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7114, 68, 7111])).
% 8.56/6.01 tff(7116,plain,
% 8.56/6.01 (~always3(s188)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7115, 7087])).
% 8.56/6.01 tff(7117,plain,
% 8.56/6.01 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s188) | (~node4(s188)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s188) | (~node4(s188)))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7118,plain,
% 8.56/6.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s188) | (~node4(s188)))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7119,plain,
% 8.56/6.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s188) | (~node4(s188))),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7118, 7117])).
% 8.56/6.01 tff(7120,plain,
% 8.56/6.01 (~node4(s188)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7119, 22, 7116])).
% 8.56/6.01 tff(7121,plain,
% 8.56/6.01 (((~![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)))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7122,plain,
% 8.56/6.01 ((node4(s188) | (~until5(s188)) | xuntil6(s188)) <=> (xuntil6(s188) | node4(s188) | (~until5(s188)))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7123,plain,
% 8.56/6.01 (((~![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))))),
% 8.56/6.01 inference(monotonicity,[status(thm)],[7122])).
% 8.56/6.01 tff(7124,plain,
% 8.56/6.01 (((~![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)))),
% 8.56/6.01 inference(transitivity,[status(thm)],[7123, 7121])).
% 8.56/6.01 tff(7125,plain,
% 8.56/6.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s188) | (~until5(s188)) | xuntil6(s188))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7126,plain,
% 8.56/6.01 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s188) | node4(s188) | (~until5(s188))),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7125, 7124])).
% 8.56/6.01 tff(7127,plain,
% 8.56/6.01 (xuntil6(s188) | (~until5(s188))),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7126, 36, 7120])).
% 8.56/6.01 tff(7128,plain,
% 8.56/6.01 (~until5(s188)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7127, 7107])).
% 8.56/6.01 tff(7129,plain,
% 8.56/6.01 (succ(s187, s188) <=> succ(s187, s188)),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7130,axiom,(succ(s187, s188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound188')).
% 8.56/6.01 tff(7131,plain,
% 8.56/6.01 (succ(s187, s188)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7130, 7129])).
% 8.56/6.01 tff(7132,plain,
% 8.56/6.01 (((~![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))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7133,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s187, s188)) | (~xuntil6(s187)) | until5(s188))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7134,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s187, s188)) | (~xuntil6(s187)) | until5(s188)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7133, 7132])).
% 8.56/6.01 tff(7135,plain,
% 8.56/6.01 ((~xuntil6(s187)) | until5(s188)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7134, 7131, 141])).
% 8.56/6.01 tff(7136,plain,
% 8.56/6.01 (~xuntil6(s187)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7135, 7128])).
% 8.56/6.01 tff(7137,plain,
% 8.56/6.01 (((~![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))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7138,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s187, s188)) | trans(s187, s188))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7139,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s187, s188)) | trans(s187, s188)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7138, 7137])).
% 8.56/6.01 tff(7140,plain,
% 8.56/6.01 (trans(s187, s188)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7139, 7131, 51])).
% 8.56/6.01 tff(7141,plain,
% 8.56/6.01 (((~![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))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7142,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s187, s188)) | (~always3(s187)) | always3(s188))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7143,plain,
% 8.56/6.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s187, s188)) | (~always3(s187)) | always3(s188)),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7142, 7141])).
% 8.56/6.01 tff(7144,plain,
% 8.56/6.01 ((~always3(s187)) | always3(s188)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7143, 68, 7140])).
% 8.56/6.01 tff(7145,plain,
% 8.56/6.01 (~always3(s187)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7144, 7116])).
% 8.56/6.01 tff(7146,plain,
% 8.56/6.01 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s187) | (~node4(s187)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s187) | (~node4(s187)))),
% 8.56/6.01 inference(rewrite,[status(thm)],[])).
% 8.56/6.01 tff(7147,plain,
% 8.56/6.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s187) | (~node4(s187)))),
% 8.56/6.01 inference(quant_inst,[status(thm)],[])).
% 8.56/6.01 tff(7148,plain,
% 8.56/6.01 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s187) | (~node4(s187))),
% 8.56/6.01 inference(modus_ponens,[status(thm)],[7147, 7146])).
% 8.56/6.01 tff(7149,plain,
% 8.56/6.01 (~node4(s187)),
% 8.56/6.01 inference(unit_resolution,[status(thm)],[7148, 22, 7145])).
% 8.56/6.01 tff(7150,plain,
% 8.56/6.01 (((~![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)))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7151,plain,
% 8.56/6.02 ((node4(s187) | (~until5(s187)) | xuntil6(s187)) <=> (xuntil6(s187) | node4(s187) | (~until5(s187)))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7152,plain,
% 8.56/6.02 (((~![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))))),
% 8.56/6.02 inference(monotonicity,[status(thm)],[7151])).
% 8.56/6.02 tff(7153,plain,
% 8.56/6.02 (((~![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)))),
% 8.56/6.02 inference(transitivity,[status(thm)],[7152, 7150])).
% 8.56/6.02 tff(7154,plain,
% 8.56/6.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s187) | (~until5(s187)) | xuntil6(s187))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7155,plain,
% 8.56/6.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s187) | node4(s187) | (~until5(s187))),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7154, 7153])).
% 8.56/6.02 tff(7156,plain,
% 8.56/6.02 (xuntil6(s187) | (~until5(s187))),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7155, 36, 7149])).
% 8.56/6.02 tff(7157,plain,
% 8.56/6.02 (~until5(s187)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7156, 7136])).
% 8.56/6.02 tff(7158,plain,
% 8.56/6.02 (succ(s186, s187) <=> succ(s186, s187)),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7159,axiom,(succ(s186, s187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound187')).
% 8.56/6.02 tff(7160,plain,
% 8.56/6.02 (succ(s186, s187)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7159, 7158])).
% 8.56/6.02 tff(7161,plain,
% 8.56/6.02 (((~![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))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7162,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s186, s187)) | (~xuntil6(s186)) | until5(s187))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7163,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s186, s187)) | (~xuntil6(s186)) | until5(s187)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7162, 7161])).
% 8.56/6.02 tff(7164,plain,
% 8.56/6.02 ((~xuntil6(s186)) | until5(s187)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7163, 7160, 141])).
% 8.56/6.02 tff(7165,plain,
% 8.56/6.02 (~xuntil6(s186)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7164, 7157])).
% 8.56/6.02 tff(7166,plain,
% 8.56/6.02 (((~![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))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7167,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s186, s187)) | trans(s186, s187))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7168,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s186, s187)) | trans(s186, s187)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7167, 7166])).
% 8.56/6.02 tff(7169,plain,
% 8.56/6.02 (trans(s186, s187)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7168, 7160, 51])).
% 8.56/6.02 tff(7170,plain,
% 8.56/6.02 (((~![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))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7171,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s186, s187)) | (~always3(s186)) | always3(s187))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7172,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s186, s187)) | (~always3(s186)) | always3(s187)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7171, 7170])).
% 8.56/6.02 tff(7173,plain,
% 8.56/6.02 ((~always3(s186)) | always3(s187)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7172, 68, 7169])).
% 8.56/6.02 tff(7174,plain,
% 8.56/6.02 (~always3(s186)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7173, 7145])).
% 8.56/6.02 tff(7175,plain,
% 8.56/6.02 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s186) | (~node4(s186)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s186) | (~node4(s186)))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7176,plain,
% 8.56/6.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s186) | (~node4(s186)))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7177,plain,
% 8.56/6.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s186) | (~node4(s186))),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7176, 7175])).
% 8.56/6.02 tff(7178,plain,
% 8.56/6.02 (~node4(s186)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7177, 22, 7174])).
% 8.56/6.02 tff(7179,plain,
% 8.56/6.02 (((~![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)))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7180,plain,
% 8.56/6.02 ((node4(s186) | (~until5(s186)) | xuntil6(s186)) <=> (xuntil6(s186) | node4(s186) | (~until5(s186)))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7181,plain,
% 8.56/6.02 (((~![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))))),
% 8.56/6.02 inference(monotonicity,[status(thm)],[7180])).
% 8.56/6.02 tff(7182,plain,
% 8.56/6.02 (((~![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)))),
% 8.56/6.02 inference(transitivity,[status(thm)],[7181, 7179])).
% 8.56/6.02 tff(7183,plain,
% 8.56/6.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s186) | (~until5(s186)) | xuntil6(s186))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7184,plain,
% 8.56/6.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s186) | node4(s186) | (~until5(s186))),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7183, 7182])).
% 8.56/6.02 tff(7185,plain,
% 8.56/6.02 (xuntil6(s186) | (~until5(s186))),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7184, 36, 7178])).
% 8.56/6.02 tff(7186,plain,
% 8.56/6.02 (~until5(s186)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7185, 7165])).
% 8.56/6.02 tff(7187,plain,
% 8.56/6.02 (succ(s185, s186) <=> succ(s185, s186)),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7188,axiom,(succ(s185, s186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound186')).
% 8.56/6.02 tff(7189,plain,
% 8.56/6.02 (succ(s185, s186)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7188, 7187])).
% 8.56/6.02 tff(7190,plain,
% 8.56/6.02 (((~![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))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7191,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s185, s186)) | (~xuntil6(s185)) | until5(s186))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7192,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s185, s186)) | (~xuntil6(s185)) | until5(s186)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7191, 7190])).
% 8.56/6.02 tff(7193,plain,
% 8.56/6.02 ((~xuntil6(s185)) | until5(s186)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7192, 7189, 141])).
% 8.56/6.02 tff(7194,plain,
% 8.56/6.02 (~xuntil6(s185)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7193, 7186])).
% 8.56/6.02 tff(7195,plain,
% 8.56/6.02 (((~![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))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7196,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s185, s186)) | trans(s185, s186))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7197,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s185, s186)) | trans(s185, s186)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7196, 7195])).
% 8.56/6.02 tff(7198,plain,
% 8.56/6.02 (trans(s185, s186)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7197, 7189, 51])).
% 8.56/6.02 tff(7199,plain,
% 8.56/6.02 (((~![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))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7200,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s185, s186)) | (~always3(s185)) | always3(s186))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7201,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s185, s186)) | (~always3(s185)) | always3(s186)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7200, 7199])).
% 8.56/6.02 tff(7202,plain,
% 8.56/6.02 ((~always3(s185)) | always3(s186)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7201, 68, 7198])).
% 8.56/6.02 tff(7203,plain,
% 8.56/6.02 (~always3(s185)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7202, 7174])).
% 8.56/6.02 tff(7204,plain,
% 8.56/6.02 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s185) | (~node4(s185)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s185) | (~node4(s185)))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7205,plain,
% 8.56/6.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s185) | (~node4(s185)))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7206,plain,
% 8.56/6.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s185) | (~node4(s185))),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7205, 7204])).
% 8.56/6.02 tff(7207,plain,
% 8.56/6.02 (~node4(s185)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7206, 22, 7203])).
% 8.56/6.02 tff(7208,plain,
% 8.56/6.02 (((~![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)))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7209,plain,
% 8.56/6.02 ((node4(s185) | (~until5(s185)) | xuntil6(s185)) <=> (xuntil6(s185) | node4(s185) | (~until5(s185)))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7210,plain,
% 8.56/6.02 (((~![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))))),
% 8.56/6.02 inference(monotonicity,[status(thm)],[7209])).
% 8.56/6.02 tff(7211,plain,
% 8.56/6.02 (((~![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)))),
% 8.56/6.02 inference(transitivity,[status(thm)],[7210, 7208])).
% 8.56/6.02 tff(7212,plain,
% 8.56/6.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s185) | (~until5(s185)) | xuntil6(s185))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7213,plain,
% 8.56/6.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s185) | node4(s185) | (~until5(s185))),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7212, 7211])).
% 8.56/6.02 tff(7214,plain,
% 8.56/6.02 (xuntil6(s185) | (~until5(s185))),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7213, 36, 7207])).
% 8.56/6.02 tff(7215,plain,
% 8.56/6.02 (~until5(s185)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7214, 7194])).
% 8.56/6.02 tff(7216,plain,
% 8.56/6.02 (succ(s184, s185) <=> succ(s184, s185)),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7217,axiom,(succ(s184, s185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound185')).
% 8.56/6.02 tff(7218,plain,
% 8.56/6.02 (succ(s184, s185)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7217, 7216])).
% 8.56/6.02 tff(7219,plain,
% 8.56/6.02 (((~![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))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7220,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s184, s185)) | (~xuntil6(s184)) | until5(s185))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7221,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s184, s185)) | (~xuntil6(s184)) | until5(s185)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7220, 7219])).
% 8.56/6.02 tff(7222,plain,
% 8.56/6.02 ((~xuntil6(s184)) | until5(s185)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7221, 7218, 141])).
% 8.56/6.02 tff(7223,plain,
% 8.56/6.02 (~xuntil6(s184)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7222, 7215])).
% 8.56/6.02 tff(7224,plain,
% 8.56/6.02 (((~![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))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7225,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s184, s185)) | trans(s184, s185))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7226,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s184, s185)) | trans(s184, s185)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7225, 7224])).
% 8.56/6.02 tff(7227,plain,
% 8.56/6.02 (trans(s184, s185)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7226, 7218, 51])).
% 8.56/6.02 tff(7228,plain,
% 8.56/6.02 (((~![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))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7229,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s184, s185)) | (~always3(s184)) | always3(s185))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7230,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s184, s185)) | (~always3(s184)) | always3(s185)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7229, 7228])).
% 8.56/6.02 tff(7231,plain,
% 8.56/6.02 ((~always3(s184)) | always3(s185)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7230, 68, 7227])).
% 8.56/6.02 tff(7232,plain,
% 8.56/6.02 (~always3(s184)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7231, 7203])).
% 8.56/6.02 tff(7233,plain,
% 8.56/6.02 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s184) | (~node4(s184)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s184) | (~node4(s184)))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7234,plain,
% 8.56/6.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s184) | (~node4(s184)))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7235,plain,
% 8.56/6.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s184) | (~node4(s184))),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7234, 7233])).
% 8.56/6.02 tff(7236,plain,
% 8.56/6.02 (~node4(s184)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7235, 22, 7232])).
% 8.56/6.02 tff(7237,plain,
% 8.56/6.02 (((~![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)))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7238,plain,
% 8.56/6.02 ((node4(s184) | (~until5(s184)) | xuntil6(s184)) <=> (xuntil6(s184) | node4(s184) | (~until5(s184)))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7239,plain,
% 8.56/6.02 (((~![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))))),
% 8.56/6.02 inference(monotonicity,[status(thm)],[7238])).
% 8.56/6.02 tff(7240,plain,
% 8.56/6.02 (((~![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)))),
% 8.56/6.02 inference(transitivity,[status(thm)],[7239, 7237])).
% 8.56/6.02 tff(7241,plain,
% 8.56/6.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s184) | (~until5(s184)) | xuntil6(s184))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7242,plain,
% 8.56/6.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s184) | node4(s184) | (~until5(s184))),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7241, 7240])).
% 8.56/6.02 tff(7243,plain,
% 8.56/6.02 (xuntil6(s184) | (~until5(s184))),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7242, 36, 7236])).
% 8.56/6.02 tff(7244,plain,
% 8.56/6.02 (~until5(s184)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7243, 7223])).
% 8.56/6.02 tff(7245,plain,
% 8.56/6.02 (succ(s183, s184) <=> succ(s183, s184)),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7246,axiom,(succ(s183, s184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound184')).
% 8.56/6.02 tff(7247,plain,
% 8.56/6.02 (succ(s183, s184)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7246, 7245])).
% 8.56/6.02 tff(7248,plain,
% 8.56/6.02 (((~![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))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7249,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s183, s184)) | (~xuntil6(s183)) | until5(s184))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7250,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s183, s184)) | (~xuntil6(s183)) | until5(s184)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7249, 7248])).
% 8.56/6.02 tff(7251,plain,
% 8.56/6.02 ((~xuntil6(s183)) | until5(s184)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7250, 7247, 141])).
% 8.56/6.02 tff(7252,plain,
% 8.56/6.02 (~xuntil6(s183)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7251, 7244])).
% 8.56/6.02 tff(7253,plain,
% 8.56/6.02 (((~![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))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7254,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s183, s184)) | trans(s183, s184))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7255,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s183, s184)) | trans(s183, s184)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7254, 7253])).
% 8.56/6.02 tff(7256,plain,
% 8.56/6.02 (trans(s183, s184)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7255, 7247, 51])).
% 8.56/6.02 tff(7257,plain,
% 8.56/6.02 (((~![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))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7258,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s183, s184)) | (~always3(s183)) | always3(s184))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7259,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s183, s184)) | (~always3(s183)) | always3(s184)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7258, 7257])).
% 8.56/6.02 tff(7260,plain,
% 8.56/6.02 ((~always3(s183)) | always3(s184)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7259, 68, 7256])).
% 8.56/6.02 tff(7261,plain,
% 8.56/6.02 (~always3(s183)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7260, 7232])).
% 8.56/6.02 tff(7262,plain,
% 8.56/6.02 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s183) | (~node4(s183)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s183) | (~node4(s183)))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7263,plain,
% 8.56/6.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s183) | (~node4(s183)))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7264,plain,
% 8.56/6.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s183) | (~node4(s183))),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7263, 7262])).
% 8.56/6.02 tff(7265,plain,
% 8.56/6.02 (~node4(s183)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7264, 22, 7261])).
% 8.56/6.02 tff(7266,plain,
% 8.56/6.02 (((~![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)))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7267,plain,
% 8.56/6.02 ((node4(s183) | (~until5(s183)) | xuntil6(s183)) <=> (xuntil6(s183) | node4(s183) | (~until5(s183)))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7268,plain,
% 8.56/6.02 (((~![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))))),
% 8.56/6.02 inference(monotonicity,[status(thm)],[7267])).
% 8.56/6.02 tff(7269,plain,
% 8.56/6.02 (((~![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)))),
% 8.56/6.02 inference(transitivity,[status(thm)],[7268, 7266])).
% 8.56/6.02 tff(7270,plain,
% 8.56/6.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s183) | (~until5(s183)) | xuntil6(s183))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7271,plain,
% 8.56/6.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s183) | node4(s183) | (~until5(s183))),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7270, 7269])).
% 8.56/6.02 tff(7272,plain,
% 8.56/6.02 (xuntil6(s183) | (~until5(s183))),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7271, 36, 7265])).
% 8.56/6.02 tff(7273,plain,
% 8.56/6.02 (~until5(s183)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7272, 7252])).
% 8.56/6.02 tff(7274,plain,
% 8.56/6.02 (succ(s182, s183) <=> succ(s182, s183)),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7275,axiom,(succ(s182, s183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound183')).
% 8.56/6.02 tff(7276,plain,
% 8.56/6.02 (succ(s182, s183)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7275, 7274])).
% 8.56/6.02 tff(7277,plain,
% 8.56/6.02 (((~![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))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7278,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s182, s183)) | (~xuntil6(s182)) | until5(s183))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7279,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s182, s183)) | (~xuntil6(s182)) | until5(s183)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7278, 7277])).
% 8.56/6.02 tff(7280,plain,
% 8.56/6.02 ((~xuntil6(s182)) | until5(s183)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7279, 7276, 141])).
% 8.56/6.02 tff(7281,plain,
% 8.56/6.02 (~xuntil6(s182)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7280, 7273])).
% 8.56/6.02 tff(7282,plain,
% 8.56/6.02 (((~![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))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7283,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s182, s183)) | trans(s182, s183))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7284,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s182, s183)) | trans(s182, s183)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7283, 7282])).
% 8.56/6.02 tff(7285,plain,
% 8.56/6.02 (trans(s182, s183)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7284, 7276, 51])).
% 8.56/6.02 tff(7286,plain,
% 8.56/6.02 (((~![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))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7287,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s182, s183)) | (~always3(s182)) | always3(s183))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7288,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s182, s183)) | (~always3(s182)) | always3(s183)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7287, 7286])).
% 8.56/6.02 tff(7289,plain,
% 8.56/6.02 ((~always3(s182)) | always3(s183)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7288, 68, 7285])).
% 8.56/6.02 tff(7290,plain,
% 8.56/6.02 (~always3(s182)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7289, 7261])).
% 8.56/6.02 tff(7291,plain,
% 8.56/6.02 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s182) | (~node4(s182)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s182) | (~node4(s182)))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7292,plain,
% 8.56/6.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s182) | (~node4(s182)))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7293,plain,
% 8.56/6.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s182) | (~node4(s182))),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7292, 7291])).
% 8.56/6.02 tff(7294,plain,
% 8.56/6.02 (~node4(s182)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7293, 22, 7290])).
% 8.56/6.02 tff(7295,plain,
% 8.56/6.02 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s182) | node4(s182) | (~until5(s182)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s182) | node4(s182) | (~until5(s182)))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7296,plain,
% 8.56/6.02 ((node4(s182) | (~until5(s182)) | xuntil6(s182)) <=> (xuntil6(s182) | node4(s182) | (~until5(s182)))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7297,plain,
% 8.56/6.02 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s182) | (~until5(s182)) | xuntil6(s182))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s182) | node4(s182) | (~until5(s182))))),
% 8.56/6.02 inference(monotonicity,[status(thm)],[7296])).
% 8.56/6.02 tff(7298,plain,
% 8.56/6.02 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s182) | (~until5(s182)) | xuntil6(s182))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s182) | node4(s182) | (~until5(s182)))),
% 8.56/6.02 inference(transitivity,[status(thm)],[7297, 7295])).
% 8.56/6.02 tff(7299,plain,
% 8.56/6.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s182) | (~until5(s182)) | xuntil6(s182))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7300,plain,
% 8.56/6.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s182) | node4(s182) | (~until5(s182))),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7299, 7298])).
% 8.56/6.02 tff(7301,plain,
% 8.56/6.02 (xuntil6(s182) | (~until5(s182))),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7300, 36, 7294])).
% 8.56/6.02 tff(7302,plain,
% 8.56/6.02 (~until5(s182)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7301, 7281])).
% 8.56/6.02 tff(7303,plain,
% 8.56/6.02 (succ(s181, s182) <=> succ(s181, s182)),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7304,axiom,(succ(s181, s182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound182')).
% 8.56/6.02 tff(7305,plain,
% 8.56/6.02 (succ(s181, s182)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7304, 7303])).
% 8.56/6.02 tff(7306,plain,
% 8.56/6.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s181, s182)) | (~xuntil6(s181)) | until5(s182))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s181, s182)) | (~xuntil6(s181)) | until5(s182))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7307,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s181, s182)) | (~xuntil6(s181)) | until5(s182))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7308,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s181, s182)) | (~xuntil6(s181)) | until5(s182)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7307, 7306])).
% 8.56/6.02 tff(7309,plain,
% 8.56/6.02 ((~xuntil6(s181)) | until5(s182)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7308, 7305, 141])).
% 8.56/6.02 tff(7310,plain,
% 8.56/6.02 (~xuntil6(s181)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7309, 7302])).
% 8.56/6.02 tff(7311,plain,
% 8.56/6.02 (((~![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))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7312,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s181, s182)) | trans(s181, s182))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7313,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s181, s182)) | trans(s181, s182)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7312, 7311])).
% 8.56/6.02 tff(7314,plain,
% 8.56/6.02 (trans(s181, s182)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7313, 7305, 51])).
% 8.56/6.02 tff(7315,plain,
% 8.56/6.02 (((~![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))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7316,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s181, s182)) | (~always3(s181)) | always3(s182))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7317,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s181, s182)) | (~always3(s181)) | always3(s182)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7316, 7315])).
% 8.56/6.02 tff(7318,plain,
% 8.56/6.02 ((~always3(s181)) | always3(s182)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7317, 68, 7314])).
% 8.56/6.02 tff(7319,plain,
% 8.56/6.02 (~always3(s181)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7318, 7290])).
% 8.56/6.02 tff(7320,plain,
% 8.56/6.02 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s181) | (~node4(s181)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s181) | (~node4(s181)))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7321,plain,
% 8.56/6.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s181) | (~node4(s181)))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7322,plain,
% 8.56/6.02 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s181) | (~node4(s181))),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7321, 7320])).
% 8.56/6.02 tff(7323,plain,
% 8.56/6.02 (~node4(s181)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7322, 22, 7319])).
% 8.56/6.02 tff(7324,plain,
% 8.56/6.02 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s181) | node4(s181) | (~until5(s181)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s181) | node4(s181) | (~until5(s181)))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7325,plain,
% 8.56/6.02 ((node4(s181) | (~until5(s181)) | xuntil6(s181)) <=> (xuntil6(s181) | node4(s181) | (~until5(s181)))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7326,plain,
% 8.56/6.02 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s181) | (~until5(s181)) | xuntil6(s181))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s181) | node4(s181) | (~until5(s181))))),
% 8.56/6.02 inference(monotonicity,[status(thm)],[7325])).
% 8.56/6.02 tff(7327,plain,
% 8.56/6.02 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s181) | (~until5(s181)) | xuntil6(s181))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s181) | node4(s181) | (~until5(s181)))),
% 8.56/6.02 inference(transitivity,[status(thm)],[7326, 7324])).
% 8.56/6.02 tff(7328,plain,
% 8.56/6.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s181) | (~until5(s181)) | xuntil6(s181))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7329,plain,
% 8.56/6.02 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s181) | node4(s181) | (~until5(s181))),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7328, 7327])).
% 8.56/6.02 tff(7330,plain,
% 8.56/6.02 (xuntil6(s181) | (~until5(s181))),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7329, 36, 7323])).
% 8.56/6.02 tff(7331,plain,
% 8.56/6.02 (~until5(s181)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7330, 7310])).
% 8.56/6.02 tff(7332,plain,
% 8.56/6.02 (succ(s180, s181) <=> succ(s180, s181)),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7333,axiom,(succ(s180, s181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound181')).
% 8.56/6.02 tff(7334,plain,
% 8.56/6.02 (succ(s180, s181)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7333, 7332])).
% 8.56/6.02 tff(7335,plain,
% 8.56/6.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s180, s181)) | (~xuntil6(s180)) | until5(s181))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s180, s181)) | (~xuntil6(s180)) | until5(s181))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7336,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s180, s181)) | (~xuntil6(s180)) | until5(s181))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7337,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s180, s181)) | (~xuntil6(s180)) | until5(s181)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7336, 7335])).
% 8.56/6.02 tff(7338,plain,
% 8.56/6.02 ((~xuntil6(s180)) | until5(s181)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7337, 7334, 141])).
% 8.56/6.02 tff(7339,plain,
% 8.56/6.02 (~xuntil6(s180)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7338, 7331])).
% 8.56/6.02 tff(7340,plain,
% 8.56/6.02 (((~![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))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7341,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s180, s181)) | trans(s180, s181))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7342,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s180, s181)) | trans(s180, s181)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7341, 7340])).
% 8.56/6.02 tff(7343,plain,
% 8.56/6.02 (trans(s180, s181)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7342, 7334, 51])).
% 8.56/6.02 tff(7344,plain,
% 8.56/6.02 (((~![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))),
% 8.56/6.02 inference(rewrite,[status(thm)],[])).
% 8.56/6.02 tff(7345,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s180, s181)) | (~always3(s180)) | always3(s181))),
% 8.56/6.02 inference(quant_inst,[status(thm)],[])).
% 8.56/6.02 tff(7346,plain,
% 8.56/6.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s180, s181)) | (~always3(s180)) | always3(s181)),
% 8.56/6.02 inference(modus_ponens,[status(thm)],[7345, 7344])).
% 8.56/6.02 tff(7347,plain,
% 8.56/6.02 ((~always3(s180)) | always3(s181)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7346, 68, 7343])).
% 8.56/6.02 tff(7348,plain,
% 8.56/6.02 (~always3(s180)),
% 8.56/6.02 inference(unit_resolution,[status(thm)],[7347, 7319])).
% 8.56/6.02 tff(7349,plain,
% 8.56/6.02 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s180) | (~node4(s180)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s180) | (~node4(s180)))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7350,plain,
% 8.56/6.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s180) | (~node4(s180)))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7351,plain,
% 8.56/6.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s180) | (~node4(s180))),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7350, 7349])).
% 8.56/6.03 tff(7352,plain,
% 8.56/6.03 (~node4(s180)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7351, 22, 7348])).
% 8.56/6.03 tff(7353,plain,
% 8.56/6.03 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s180) | node4(s180) | (~until5(s180)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s180) | node4(s180) | (~until5(s180)))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7354,plain,
% 8.56/6.03 ((node4(s180) | (~until5(s180)) | xuntil6(s180)) <=> (xuntil6(s180) | node4(s180) | (~until5(s180)))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7355,plain,
% 8.56/6.03 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s180) | (~until5(s180)) | xuntil6(s180))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s180) | node4(s180) | (~until5(s180))))),
% 8.56/6.03 inference(monotonicity,[status(thm)],[7354])).
% 8.56/6.03 tff(7356,plain,
% 8.56/6.03 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s180) | (~until5(s180)) | xuntil6(s180))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s180) | node4(s180) | (~until5(s180)))),
% 8.56/6.03 inference(transitivity,[status(thm)],[7355, 7353])).
% 8.56/6.03 tff(7357,plain,
% 8.56/6.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s180) | (~until5(s180)) | xuntil6(s180))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7358,plain,
% 8.56/6.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s180) | node4(s180) | (~until5(s180))),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7357, 7356])).
% 8.56/6.03 tff(7359,plain,
% 8.56/6.03 (xuntil6(s180) | (~until5(s180))),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7358, 36, 7352])).
% 8.56/6.03 tff(7360,plain,
% 8.56/6.03 (~until5(s180)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7359, 7339])).
% 8.56/6.03 tff(7361,plain,
% 8.56/6.03 (succ(s179, s180) <=> succ(s179, s180)),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7362,axiom,(succ(s179, s180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound180')).
% 8.56/6.03 tff(7363,plain,
% 8.56/6.03 (succ(s179, s180)),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7362, 7361])).
% 8.56/6.03 tff(7364,plain,
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% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7365,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s179, s180)) | (~xuntil6(s179)) | until5(s180))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7366,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s179, s180)) | (~xuntil6(s179)) | until5(s180)),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7365, 7364])).
% 8.56/6.03 tff(7367,plain,
% 8.56/6.03 ((~xuntil6(s179)) | until5(s180)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7366, 7363, 141])).
% 8.56/6.03 tff(7368,plain,
% 8.56/6.03 (~xuntil6(s179)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7367, 7360])).
% 8.56/6.03 tff(7369,plain,
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% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7370,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s179, s180)) | trans(s179, s180))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7371,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s179, s180)) | trans(s179, s180)),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7370, 7369])).
% 8.56/6.03 tff(7372,plain,
% 8.56/6.03 (trans(s179, s180)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7371, 7363, 51])).
% 8.56/6.03 tff(7373,plain,
% 8.56/6.03 (((~![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))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7374,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s179, s180)) | (~always3(s179)) | always3(s180))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7375,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s179, s180)) | (~always3(s179)) | always3(s180)),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7374, 7373])).
% 8.56/6.03 tff(7376,plain,
% 8.56/6.03 ((~always3(s179)) | always3(s180)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7375, 68, 7372])).
% 8.56/6.03 tff(7377,plain,
% 8.56/6.03 (~always3(s179)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7376, 7348])).
% 8.56/6.03 tff(7378,plain,
% 8.56/6.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s179) | (~node4(s179)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s179) | (~node4(s179)))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7379,plain,
% 8.56/6.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s179) | (~node4(s179)))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7380,plain,
% 8.56/6.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s179) | (~node4(s179))),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7379, 7378])).
% 8.56/6.03 tff(7381,plain,
% 8.56/6.03 (~node4(s179)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7380, 22, 7377])).
% 8.56/6.03 tff(7382,plain,
% 8.56/6.03 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s179) | node4(s179) | (~until5(s179)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s179) | node4(s179) | (~until5(s179)))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7383,plain,
% 8.56/6.03 ((node4(s179) | (~until5(s179)) | xuntil6(s179)) <=> (xuntil6(s179) | node4(s179) | (~until5(s179)))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7384,plain,
% 8.56/6.03 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s179) | (~until5(s179)) | xuntil6(s179))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s179) | node4(s179) | (~until5(s179))))),
% 8.56/6.03 inference(monotonicity,[status(thm)],[7383])).
% 8.56/6.03 tff(7385,plain,
% 8.56/6.03 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s179) | (~until5(s179)) | xuntil6(s179))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s179) | node4(s179) | (~until5(s179)))),
% 8.56/6.03 inference(transitivity,[status(thm)],[7384, 7382])).
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% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7387,plain,
% 8.56/6.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s179) | node4(s179) | (~until5(s179))),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7386, 7385])).
% 8.56/6.03 tff(7388,plain,
% 8.56/6.03 (xuntil6(s179) | (~until5(s179))),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7387, 36, 7381])).
% 8.56/6.03 tff(7389,plain,
% 8.56/6.03 (~until5(s179)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7388, 7368])).
% 8.56/6.03 tff(7390,plain,
% 8.56/6.03 (succ(s178, s179) <=> succ(s178, s179)),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7391,axiom,(succ(s178, s179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound179')).
% 8.56/6.03 tff(7392,plain,
% 8.56/6.03 (succ(s178, s179)),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7391, 7390])).
% 8.56/6.03 tff(7393,plain,
% 8.56/6.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s178, s179)) | (~xuntil6(s178)) | until5(s179))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s178, s179)) | (~xuntil6(s178)) | until5(s179))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7394,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s178, s179)) | (~xuntil6(s178)) | until5(s179))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7395,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s178, s179)) | (~xuntil6(s178)) | until5(s179)),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7394, 7393])).
% 8.56/6.03 tff(7396,plain,
% 8.56/6.03 ((~xuntil6(s178)) | until5(s179)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7395, 7392, 141])).
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% 8.56/6.03 (~xuntil6(s178)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7396, 7389])).
% 8.56/6.03 tff(7398,plain,
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% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7399,plain,
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% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7400,plain,
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% 8.56/6.03 inference(modus_ponens,[status(thm)],[7399, 7398])).
% 8.56/6.03 tff(7401,plain,
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% 8.56/6.03 inference(unit_resolution,[status(thm)],[7400, 7392, 51])).
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% 8.56/6.03 (((~![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))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7403,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s178, s179)) | (~always3(s178)) | always3(s179))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7404,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s178, s179)) | (~always3(s178)) | always3(s179)),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7403, 7402])).
% 8.56/6.03 tff(7405,plain,
% 8.56/6.03 ((~always3(s178)) | always3(s179)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7404, 68, 7401])).
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% 8.56/6.03 (~always3(s178)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7405, 7377])).
% 8.56/6.03 tff(7407,plain,
% 8.56/6.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s178) | (~node4(s178)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s178) | (~node4(s178)))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7408,plain,
% 8.56/6.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s178) | (~node4(s178)))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7409,plain,
% 8.56/6.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s178) | (~node4(s178))),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7408, 7407])).
% 8.56/6.03 tff(7410,plain,
% 8.56/6.03 (~node4(s178)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7409, 22, 7406])).
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% 8.56/6.03 (((~![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)))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7412,plain,
% 8.56/6.03 ((node4(s178) | (~until5(s178)) | xuntil6(s178)) <=> (xuntil6(s178) | node4(s178) | (~until5(s178)))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7413,plain,
% 8.56/6.03 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s178) | (~until5(s178)) | xuntil6(s178))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s178) | node4(s178) | (~until5(s178))))),
% 8.56/6.03 inference(monotonicity,[status(thm)],[7412])).
% 8.56/6.03 tff(7414,plain,
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% 8.56/6.03 inference(transitivity,[status(thm)],[7413, 7411])).
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% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7416,plain,
% 8.56/6.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s178) | node4(s178) | (~until5(s178))),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7415, 7414])).
% 8.56/6.03 tff(7417,plain,
% 8.56/6.03 (xuntil6(s178) | (~until5(s178))),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7416, 36, 7410])).
% 8.56/6.03 tff(7418,plain,
% 8.56/6.03 (~until5(s178)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7417, 7397])).
% 8.56/6.03 tff(7419,plain,
% 8.56/6.03 (succ(s177, s178) <=> succ(s177, s178)),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7420,axiom,(succ(s177, s178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound178')).
% 8.56/6.03 tff(7421,plain,
% 8.56/6.03 (succ(s177, s178)),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7420, 7419])).
% 8.56/6.03 tff(7422,plain,
% 8.56/6.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s177, s178)) | (~xuntil6(s177)) | until5(s178))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s177, s178)) | (~xuntil6(s177)) | until5(s178))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7423,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s177, s178)) | (~xuntil6(s177)) | until5(s178))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7424,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s177, s178)) | (~xuntil6(s177)) | until5(s178)),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7423, 7422])).
% 8.56/6.03 tff(7425,plain,
% 8.56/6.03 ((~xuntil6(s177)) | until5(s178)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7424, 7421, 141])).
% 8.56/6.03 tff(7426,plain,
% 8.56/6.03 (~xuntil6(s177)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7425, 7418])).
% 8.56/6.03 tff(7427,plain,
% 8.56/6.03 (((~![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))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7428,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s177, s178)) | trans(s177, s178))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7429,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s177, s178)) | trans(s177, s178)),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7428, 7427])).
% 8.56/6.03 tff(7430,plain,
% 8.56/6.03 (trans(s177, s178)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7429, 7421, 51])).
% 8.56/6.03 tff(7431,plain,
% 8.56/6.03 (((~![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))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7432,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s177, s178)) | (~always3(s177)) | always3(s178))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7433,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s177, s178)) | (~always3(s177)) | always3(s178)),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7432, 7431])).
% 8.56/6.03 tff(7434,plain,
% 8.56/6.03 ((~always3(s177)) | always3(s178)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7433, 68, 7430])).
% 8.56/6.03 tff(7435,plain,
% 8.56/6.03 (~always3(s177)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7434, 7406])).
% 8.56/6.03 tff(7436,plain,
% 8.56/6.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s177) | (~node4(s177)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s177) | (~node4(s177)))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7437,plain,
% 8.56/6.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s177) | (~node4(s177)))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7438,plain,
% 8.56/6.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s177) | (~node4(s177))),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7437, 7436])).
% 8.56/6.03 tff(7439,plain,
% 8.56/6.03 (~node4(s177)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7438, 22, 7435])).
% 8.56/6.03 tff(7440,plain,
% 8.56/6.03 (((~![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)))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7441,plain,
% 8.56/6.03 ((node4(s177) | (~until5(s177)) | xuntil6(s177)) <=> (xuntil6(s177) | node4(s177) | (~until5(s177)))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7442,plain,
% 8.56/6.03 (((~![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))))),
% 8.56/6.03 inference(monotonicity,[status(thm)],[7441])).
% 8.56/6.03 tff(7443,plain,
% 8.56/6.03 (((~![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)))),
% 8.56/6.03 inference(transitivity,[status(thm)],[7442, 7440])).
% 8.56/6.03 tff(7444,plain,
% 8.56/6.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s177) | (~until5(s177)) | xuntil6(s177))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7445,plain,
% 8.56/6.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s177) | node4(s177) | (~until5(s177))),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7444, 7443])).
% 8.56/6.03 tff(7446,plain,
% 8.56/6.03 (xuntil6(s177) | (~until5(s177))),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7445, 36, 7439])).
% 8.56/6.03 tff(7447,plain,
% 8.56/6.03 (~until5(s177)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7446, 7426])).
% 8.56/6.03 tff(7448,plain,
% 8.56/6.03 (succ(s176, s177) <=> succ(s176, s177)),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7449,axiom,(succ(s176, s177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound177')).
% 8.56/6.03 tff(7450,plain,
% 8.56/6.03 (succ(s176, s177)),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7449, 7448])).
% 8.56/6.03 tff(7451,plain,
% 8.56/6.03 (((~![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))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7452,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s176, s177)) | (~xuntil6(s176)) | until5(s177))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7453,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s176, s177)) | (~xuntil6(s176)) | until5(s177)),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7452, 7451])).
% 8.56/6.03 tff(7454,plain,
% 8.56/6.03 ((~xuntil6(s176)) | until5(s177)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7453, 7450, 141])).
% 8.56/6.03 tff(7455,plain,
% 8.56/6.03 (~xuntil6(s176)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7454, 7447])).
% 8.56/6.03 tff(7456,plain,
% 8.56/6.03 (((~![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))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7457,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s176, s177)) | trans(s176, s177))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7458,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s176, s177)) | trans(s176, s177)),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7457, 7456])).
% 8.56/6.03 tff(7459,plain,
% 8.56/6.03 (trans(s176, s177)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7458, 7450, 51])).
% 8.56/6.03 tff(7460,plain,
% 8.56/6.03 (((~![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))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7461,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s176, s177)) | (~always3(s176)) | always3(s177))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7462,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s176, s177)) | (~always3(s176)) | always3(s177)),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7461, 7460])).
% 8.56/6.03 tff(7463,plain,
% 8.56/6.03 ((~always3(s176)) | always3(s177)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7462, 68, 7459])).
% 8.56/6.03 tff(7464,plain,
% 8.56/6.03 (~always3(s176)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7463, 7435])).
% 8.56/6.03 tff(7465,plain,
% 8.56/6.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s176) | (~node4(s176)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s176) | (~node4(s176)))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7466,plain,
% 8.56/6.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s176) | (~node4(s176)))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7467,plain,
% 8.56/6.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s176) | (~node4(s176))),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7466, 7465])).
% 8.56/6.03 tff(7468,plain,
% 8.56/6.03 (~node4(s176)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7467, 22, 7464])).
% 8.56/6.03 tff(7469,plain,
% 8.56/6.03 (((~![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)))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7470,plain,
% 8.56/6.03 ((node4(s176) | (~until5(s176)) | xuntil6(s176)) <=> (xuntil6(s176) | node4(s176) | (~until5(s176)))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7471,plain,
% 8.56/6.03 (((~![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))))),
% 8.56/6.03 inference(monotonicity,[status(thm)],[7470])).
% 8.56/6.03 tff(7472,plain,
% 8.56/6.03 (((~![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)))),
% 8.56/6.03 inference(transitivity,[status(thm)],[7471, 7469])).
% 8.56/6.03 tff(7473,plain,
% 8.56/6.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s176) | (~until5(s176)) | xuntil6(s176))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7474,plain,
% 8.56/6.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s176) | node4(s176) | (~until5(s176))),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7473, 7472])).
% 8.56/6.03 tff(7475,plain,
% 8.56/6.03 (xuntil6(s176) | (~until5(s176))),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7474, 36, 7468])).
% 8.56/6.03 tff(7476,plain,
% 8.56/6.03 (~until5(s176)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7475, 7455])).
% 8.56/6.03 tff(7477,plain,
% 8.56/6.03 (succ(s175, s176) <=> succ(s175, s176)),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7478,axiom,(succ(s175, s176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound176')).
% 8.56/6.03 tff(7479,plain,
% 8.56/6.03 (succ(s175, s176)),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7478, 7477])).
% 8.56/6.03 tff(7480,plain,
% 8.56/6.03 (((~![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))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7481,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s175, s176)) | (~xuntil6(s175)) | until5(s176))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7482,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s175, s176)) | (~xuntil6(s175)) | until5(s176)),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7481, 7480])).
% 8.56/6.03 tff(7483,plain,
% 8.56/6.03 ((~xuntil6(s175)) | until5(s176)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7482, 7479, 141])).
% 8.56/6.03 tff(7484,plain,
% 8.56/6.03 (~xuntil6(s175)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7483, 7476])).
% 8.56/6.03 tff(7485,plain,
% 8.56/6.03 (((~![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))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7486,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s175, s176)) | trans(s175, s176))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7487,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s175, s176)) | trans(s175, s176)),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7486, 7485])).
% 8.56/6.03 tff(7488,plain,
% 8.56/6.03 (trans(s175, s176)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7487, 7479, 51])).
% 8.56/6.03 tff(7489,plain,
% 8.56/6.03 (((~![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))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7490,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s175, s176)) | (~always3(s175)) | always3(s176))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7491,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s175, s176)) | (~always3(s175)) | always3(s176)),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7490, 7489])).
% 8.56/6.03 tff(7492,plain,
% 8.56/6.03 ((~always3(s175)) | always3(s176)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7491, 68, 7488])).
% 8.56/6.03 tff(7493,plain,
% 8.56/6.03 (~always3(s175)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7492, 7464])).
% 8.56/6.03 tff(7494,plain,
% 8.56/6.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s175) | (~node4(s175)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s175) | (~node4(s175)))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7495,plain,
% 8.56/6.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s175) | (~node4(s175)))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7496,plain,
% 8.56/6.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s175) | (~node4(s175))),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7495, 7494])).
% 8.56/6.03 tff(7497,plain,
% 8.56/6.03 (~node4(s175)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7496, 22, 7493])).
% 8.56/6.03 tff(7498,plain,
% 8.56/6.03 (((~![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)))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7499,plain,
% 8.56/6.03 ((node4(s175) | (~until5(s175)) | xuntil6(s175)) <=> (xuntil6(s175) | node4(s175) | (~until5(s175)))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7500,plain,
% 8.56/6.03 (((~![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))))),
% 8.56/6.03 inference(monotonicity,[status(thm)],[7499])).
% 8.56/6.03 tff(7501,plain,
% 8.56/6.03 (((~![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)))),
% 8.56/6.03 inference(transitivity,[status(thm)],[7500, 7498])).
% 8.56/6.03 tff(7502,plain,
% 8.56/6.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s175) | (~until5(s175)) | xuntil6(s175))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7503,plain,
% 8.56/6.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s175) | node4(s175) | (~until5(s175))),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7502, 7501])).
% 8.56/6.03 tff(7504,plain,
% 8.56/6.03 (xuntil6(s175) | (~until5(s175))),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7503, 36, 7497])).
% 8.56/6.03 tff(7505,plain,
% 8.56/6.03 (~until5(s175)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7504, 7484])).
% 8.56/6.03 tff(7506,plain,
% 8.56/6.03 (succ(s174, s175) <=> succ(s174, s175)),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7507,axiom,(succ(s174, s175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound175')).
% 8.56/6.03 tff(7508,plain,
% 8.56/6.03 (succ(s174, s175)),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7507, 7506])).
% 8.56/6.03 tff(7509,plain,
% 8.56/6.03 (((~![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))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7510,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s174, s175)) | (~xuntil6(s174)) | until5(s175))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7511,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s174, s175)) | (~xuntil6(s174)) | until5(s175)),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7510, 7509])).
% 8.56/6.03 tff(7512,plain,
% 8.56/6.03 ((~xuntil6(s174)) | until5(s175)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7511, 7508, 141])).
% 8.56/6.03 tff(7513,plain,
% 8.56/6.03 (~xuntil6(s174)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7512, 7505])).
% 8.56/6.03 tff(7514,plain,
% 8.56/6.03 (((~![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))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7515,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s174, s175)) | trans(s174, s175))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7516,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s174, s175)) | trans(s174, s175)),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7515, 7514])).
% 8.56/6.03 tff(7517,plain,
% 8.56/6.03 (trans(s174, s175)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7516, 7508, 51])).
% 8.56/6.03 tff(7518,plain,
% 8.56/6.03 (((~![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))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7519,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s174, s175)) | (~always3(s174)) | always3(s175))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7520,plain,
% 8.56/6.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s174, s175)) | (~always3(s174)) | always3(s175)),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7519, 7518])).
% 8.56/6.03 tff(7521,plain,
% 8.56/6.03 ((~always3(s174)) | always3(s175)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7520, 68, 7517])).
% 8.56/6.03 tff(7522,plain,
% 8.56/6.03 (~always3(s174)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7521, 7493])).
% 8.56/6.03 tff(7523,plain,
% 8.56/6.03 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s174) | (~node4(s174)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s174) | (~node4(s174)))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7524,plain,
% 8.56/6.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s174) | (~node4(s174)))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7525,plain,
% 8.56/6.03 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s174) | (~node4(s174))),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7524, 7523])).
% 8.56/6.03 tff(7526,plain,
% 8.56/6.03 (~node4(s174)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7525, 22, 7522])).
% 8.56/6.03 tff(7527,plain,
% 8.56/6.03 (((~![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)))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7528,plain,
% 8.56/6.03 ((node4(s174) | (~until5(s174)) | xuntil6(s174)) <=> (xuntil6(s174) | node4(s174) | (~until5(s174)))),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.03 tff(7529,plain,
% 8.56/6.03 (((~![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))))),
% 8.56/6.03 inference(monotonicity,[status(thm)],[7528])).
% 8.56/6.03 tff(7530,plain,
% 8.56/6.03 (((~![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)))),
% 8.56/6.03 inference(transitivity,[status(thm)],[7529, 7527])).
% 8.56/6.03 tff(7531,plain,
% 8.56/6.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s174) | (~until5(s174)) | xuntil6(s174))),
% 8.56/6.03 inference(quant_inst,[status(thm)],[])).
% 8.56/6.03 tff(7532,plain,
% 8.56/6.03 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s174) | node4(s174) | (~until5(s174))),
% 8.56/6.03 inference(modus_ponens,[status(thm)],[7531, 7530])).
% 8.56/6.03 tff(7533,plain,
% 8.56/6.03 (xuntil6(s174) | (~until5(s174))),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7532, 36, 7526])).
% 8.56/6.03 tff(7534,plain,
% 8.56/6.03 (~until5(s174)),
% 8.56/6.03 inference(unit_resolution,[status(thm)],[7533, 7513])).
% 8.56/6.03 tff(7535,plain,
% 8.56/6.03 (succ(s173, s174) <=> succ(s173, s174)),
% 8.56/6.03 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7536,axiom,(succ(s173, s174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound174')).
% 8.56/6.04 tff(7537,plain,
% 8.56/6.04 (succ(s173, s174)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7536, 7535])).
% 8.56/6.04 tff(7538,plain,
% 8.56/6.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s173, s174)) | (~xuntil6(s173)) | until5(s174))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s173, s174)) | (~xuntil6(s173)) | until5(s174))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7539,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s173, s174)) | (~xuntil6(s173)) | until5(s174))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7540,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s173, s174)) | (~xuntil6(s173)) | until5(s174)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7539, 7538])).
% 8.56/6.04 tff(7541,plain,
% 8.56/6.04 ((~xuntil6(s173)) | until5(s174)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7540, 7537, 141])).
% 8.56/6.04 tff(7542,plain,
% 8.56/6.04 (~xuntil6(s173)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7541, 7534])).
% 8.56/6.04 tff(7543,plain,
% 8.56/6.04 (((~![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))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7544,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s173, s174)) | trans(s173, s174))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7545,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s173, s174)) | trans(s173, s174)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7544, 7543])).
% 8.56/6.04 tff(7546,plain,
% 8.56/6.04 (trans(s173, s174)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7545, 7537, 51])).
% 8.56/6.04 tff(7547,plain,
% 8.56/6.04 (((~![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))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7548,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s173, s174)) | (~always3(s173)) | always3(s174))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7549,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s173, s174)) | (~always3(s173)) | always3(s174)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7548, 7547])).
% 8.56/6.04 tff(7550,plain,
% 8.56/6.04 ((~always3(s173)) | always3(s174)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7549, 68, 7546])).
% 8.56/6.04 tff(7551,plain,
% 8.56/6.04 (~always3(s173)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7550, 7522])).
% 8.56/6.04 tff(7552,plain,
% 8.56/6.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s173) | (~node4(s173)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s173) | (~node4(s173)))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7553,plain,
% 8.56/6.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s173) | (~node4(s173)))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7554,plain,
% 8.56/6.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s173) | (~node4(s173))),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7553, 7552])).
% 8.56/6.04 tff(7555,plain,
% 8.56/6.04 (~node4(s173)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7554, 22, 7551])).
% 8.56/6.04 tff(7556,plain,
% 8.56/6.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s173) | node4(s173) | (~until5(s173)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s173) | node4(s173) | (~until5(s173)))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7557,plain,
% 8.56/6.04 ((node4(s173) | (~until5(s173)) | xuntil6(s173)) <=> (xuntil6(s173) | node4(s173) | (~until5(s173)))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7558,plain,
% 8.56/6.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s173) | (~until5(s173)) | xuntil6(s173))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s173) | node4(s173) | (~until5(s173))))),
% 8.56/6.04 inference(monotonicity,[status(thm)],[7557])).
% 8.56/6.04 tff(7559,plain,
% 8.56/6.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s173) | (~until5(s173)) | xuntil6(s173))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s173) | node4(s173) | (~until5(s173)))),
% 8.56/6.04 inference(transitivity,[status(thm)],[7558, 7556])).
% 8.56/6.04 tff(7560,plain,
% 8.56/6.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s173) | (~until5(s173)) | xuntil6(s173))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7561,plain,
% 8.56/6.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s173) | node4(s173) | (~until5(s173))),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7560, 7559])).
% 8.56/6.04 tff(7562,plain,
% 8.56/6.04 (xuntil6(s173) | (~until5(s173))),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7561, 36, 7555])).
% 8.56/6.04 tff(7563,plain,
% 8.56/6.04 (~until5(s173)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7562, 7542])).
% 8.56/6.04 tff(7564,plain,
% 8.56/6.04 (succ(s172, s173) <=> succ(s172, s173)),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7565,axiom,(succ(s172, s173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound173')).
% 8.56/6.04 tff(7566,plain,
% 8.56/6.04 (succ(s172, s173)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7565, 7564])).
% 8.56/6.04 tff(7567,plain,
% 8.56/6.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s172, s173)) | (~xuntil6(s172)) | until5(s173))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s172, s173)) | (~xuntil6(s172)) | until5(s173))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7568,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s172, s173)) | (~xuntil6(s172)) | until5(s173))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7569,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s172, s173)) | (~xuntil6(s172)) | until5(s173)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7568, 7567])).
% 8.56/6.04 tff(7570,plain,
% 8.56/6.04 ((~xuntil6(s172)) | until5(s173)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7569, 7566, 141])).
% 8.56/6.04 tff(7571,plain,
% 8.56/6.04 (~xuntil6(s172)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7570, 7563])).
% 8.56/6.04 tff(7572,plain,
% 8.56/6.04 (((~![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))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7573,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s172, s173)) | trans(s172, s173))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7574,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s172, s173)) | trans(s172, s173)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7573, 7572])).
% 8.56/6.04 tff(7575,plain,
% 8.56/6.04 (trans(s172, s173)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7574, 7566, 51])).
% 8.56/6.04 tff(7576,plain,
% 8.56/6.04 (((~![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))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7577,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s172, s173)) | (~always3(s172)) | always3(s173))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7578,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s172, s173)) | (~always3(s172)) | always3(s173)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7577, 7576])).
% 8.56/6.04 tff(7579,plain,
% 8.56/6.04 ((~always3(s172)) | always3(s173)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7578, 68, 7575])).
% 8.56/6.04 tff(7580,plain,
% 8.56/6.04 (~always3(s172)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7579, 7551])).
% 8.56/6.04 tff(7581,plain,
% 8.56/6.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s172) | (~node4(s172)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s172) | (~node4(s172)))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7582,plain,
% 8.56/6.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s172) | (~node4(s172)))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7583,plain,
% 8.56/6.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s172) | (~node4(s172))),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7582, 7581])).
% 8.56/6.04 tff(7584,plain,
% 8.56/6.04 (~node4(s172)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7583, 22, 7580])).
% 8.56/6.04 tff(7585,plain,
% 8.56/6.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s172) | node4(s172) | (~until5(s172)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s172) | node4(s172) | (~until5(s172)))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7586,plain,
% 8.56/6.04 ((node4(s172) | (~until5(s172)) | xuntil6(s172)) <=> (xuntil6(s172) | node4(s172) | (~until5(s172)))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7587,plain,
% 8.56/6.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s172) | (~until5(s172)) | xuntil6(s172))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s172) | node4(s172) | (~until5(s172))))),
% 8.56/6.04 inference(monotonicity,[status(thm)],[7586])).
% 8.56/6.04 tff(7588,plain,
% 8.56/6.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s172) | (~until5(s172)) | xuntil6(s172))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s172) | node4(s172) | (~until5(s172)))),
% 8.56/6.04 inference(transitivity,[status(thm)],[7587, 7585])).
% 8.56/6.04 tff(7589,plain,
% 8.56/6.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s172) | (~until5(s172)) | xuntil6(s172))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7590,plain,
% 8.56/6.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s172) | node4(s172) | (~until5(s172))),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7589, 7588])).
% 8.56/6.04 tff(7591,plain,
% 8.56/6.04 (xuntil6(s172) | (~until5(s172))),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7590, 36, 7584])).
% 8.56/6.04 tff(7592,plain,
% 8.56/6.04 (~until5(s172)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7591, 7571])).
% 8.56/6.04 tff(7593,plain,
% 8.56/6.04 (succ(s171, s172) <=> succ(s171, s172)),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7594,axiom,(succ(s171, s172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound172')).
% 8.56/6.04 tff(7595,plain,
% 8.56/6.04 (succ(s171, s172)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7594, 7593])).
% 8.56/6.04 tff(7596,plain,
% 8.56/6.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s171, s172)) | (~xuntil6(s171)) | until5(s172))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s171, s172)) | (~xuntil6(s171)) | until5(s172))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7597,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s171, s172)) | (~xuntil6(s171)) | until5(s172))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7598,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s171, s172)) | (~xuntil6(s171)) | until5(s172)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7597, 7596])).
% 8.56/6.04 tff(7599,plain,
% 8.56/6.04 ((~xuntil6(s171)) | until5(s172)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7598, 7595, 141])).
% 8.56/6.04 tff(7600,plain,
% 8.56/6.04 (~xuntil6(s171)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7599, 7592])).
% 8.56/6.04 tff(7601,plain,
% 8.56/6.04 (((~![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))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7602,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s171, s172)) | trans(s171, s172))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7603,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s171, s172)) | trans(s171, s172)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7602, 7601])).
% 8.56/6.04 tff(7604,plain,
% 8.56/6.04 (trans(s171, s172)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7603, 7595, 51])).
% 8.56/6.04 tff(7605,plain,
% 8.56/6.04 (((~![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))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7606,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s171, s172)) | (~always3(s171)) | always3(s172))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7607,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s171, s172)) | (~always3(s171)) | always3(s172)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7606, 7605])).
% 8.56/6.04 tff(7608,plain,
% 8.56/6.04 ((~always3(s171)) | always3(s172)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7607, 68, 7604])).
% 8.56/6.04 tff(7609,plain,
% 8.56/6.04 (~always3(s171)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7608, 7580])).
% 8.56/6.04 tff(7610,plain,
% 8.56/6.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s171) | (~node4(s171)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s171) | (~node4(s171)))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7611,plain,
% 8.56/6.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s171) | (~node4(s171)))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7612,plain,
% 8.56/6.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s171) | (~node4(s171))),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7611, 7610])).
% 8.56/6.04 tff(7613,plain,
% 8.56/6.04 (~node4(s171)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7612, 22, 7609])).
% 8.56/6.04 tff(7614,plain,
% 8.56/6.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s171) | node4(s171) | (~until5(s171)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s171) | node4(s171) | (~until5(s171)))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7615,plain,
% 8.56/6.04 ((node4(s171) | (~until5(s171)) | xuntil6(s171)) <=> (xuntil6(s171) | node4(s171) | (~until5(s171)))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7616,plain,
% 8.56/6.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s171) | (~until5(s171)) | xuntil6(s171))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s171) | node4(s171) | (~until5(s171))))),
% 8.56/6.04 inference(monotonicity,[status(thm)],[7615])).
% 8.56/6.04 tff(7617,plain,
% 8.56/6.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s171) | (~until5(s171)) | xuntil6(s171))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s171) | node4(s171) | (~until5(s171)))),
% 8.56/6.04 inference(transitivity,[status(thm)],[7616, 7614])).
% 8.56/6.04 tff(7618,plain,
% 8.56/6.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s171) | (~until5(s171)) | xuntil6(s171))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7619,plain,
% 8.56/6.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s171) | node4(s171) | (~until5(s171))),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7618, 7617])).
% 8.56/6.04 tff(7620,plain,
% 8.56/6.04 (xuntil6(s171) | (~until5(s171))),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7619, 36, 7613])).
% 8.56/6.04 tff(7621,plain,
% 8.56/6.04 (~until5(s171)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7620, 7600])).
% 8.56/6.04 tff(7622,plain,
% 8.56/6.04 (succ(s170, s171) <=> succ(s170, s171)),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7623,axiom,(succ(s170, s171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound171')).
% 8.56/6.04 tff(7624,plain,
% 8.56/6.04 (succ(s170, s171)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7623, 7622])).
% 8.56/6.04 tff(7625,plain,
% 8.56/6.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s170, s171)) | (~xuntil6(s170)) | until5(s171))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s170, s171)) | (~xuntil6(s170)) | until5(s171))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7626,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s170, s171)) | (~xuntil6(s170)) | until5(s171))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7627,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s170, s171)) | (~xuntil6(s170)) | until5(s171)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7626, 7625])).
% 8.56/6.04 tff(7628,plain,
% 8.56/6.04 ((~xuntil6(s170)) | until5(s171)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7627, 7624, 141])).
% 8.56/6.04 tff(7629,plain,
% 8.56/6.04 (~xuntil6(s170)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7628, 7621])).
% 8.56/6.04 tff(7630,plain,
% 8.56/6.04 (((~![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))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7631,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s170, s171)) | trans(s170, s171))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7632,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s170, s171)) | trans(s170, s171)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7631, 7630])).
% 8.56/6.04 tff(7633,plain,
% 8.56/6.04 (trans(s170, s171)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7632, 7624, 51])).
% 8.56/6.04 tff(7634,plain,
% 8.56/6.04 (((~![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))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7635,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s170, s171)) | (~always3(s170)) | always3(s171))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7636,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s170, s171)) | (~always3(s170)) | always3(s171)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7635, 7634])).
% 8.56/6.04 tff(7637,plain,
% 8.56/6.04 ((~always3(s170)) | always3(s171)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7636, 68, 7633])).
% 8.56/6.04 tff(7638,plain,
% 8.56/6.04 (~always3(s170)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7637, 7609])).
% 8.56/6.04 tff(7639,plain,
% 8.56/6.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s170) | (~node4(s170)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s170) | (~node4(s170)))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7640,plain,
% 8.56/6.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s170) | (~node4(s170)))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7641,plain,
% 8.56/6.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s170) | (~node4(s170))),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7640, 7639])).
% 8.56/6.04 tff(7642,plain,
% 8.56/6.04 (~node4(s170)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7641, 22, 7638])).
% 8.56/6.04 tff(7643,plain,
% 8.56/6.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s170) | node4(s170) | (~until5(s170)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s170) | node4(s170) | (~until5(s170)))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7644,plain,
% 8.56/6.04 ((node4(s170) | (~until5(s170)) | xuntil6(s170)) <=> (xuntil6(s170) | node4(s170) | (~until5(s170)))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7645,plain,
% 8.56/6.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s170) | (~until5(s170)) | xuntil6(s170))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s170) | node4(s170) | (~until5(s170))))),
% 8.56/6.04 inference(monotonicity,[status(thm)],[7644])).
% 8.56/6.04 tff(7646,plain,
% 8.56/6.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s170) | (~until5(s170)) | xuntil6(s170))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s170) | node4(s170) | (~until5(s170)))),
% 8.56/6.04 inference(transitivity,[status(thm)],[7645, 7643])).
% 8.56/6.04 tff(7647,plain,
% 8.56/6.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s170) | (~until5(s170)) | xuntil6(s170))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7648,plain,
% 8.56/6.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s170) | node4(s170) | (~until5(s170))),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7647, 7646])).
% 8.56/6.04 tff(7649,plain,
% 8.56/6.04 (xuntil6(s170) | (~until5(s170))),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7648, 36, 7642])).
% 8.56/6.04 tff(7650,plain,
% 8.56/6.04 (~until5(s170)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7649, 7629])).
% 8.56/6.04 tff(7651,plain,
% 8.56/6.04 (succ(s169, s170) <=> succ(s169, s170)),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7652,axiom,(succ(s169, s170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound170')).
% 8.56/6.04 tff(7653,plain,
% 8.56/6.04 (succ(s169, s170)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7652, 7651])).
% 8.56/6.04 tff(7654,plain,
% 8.56/6.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s169, s170)) | (~xuntil6(s169)) | until5(s170))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s169, s170)) | (~xuntil6(s169)) | until5(s170))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7655,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s169, s170)) | (~xuntil6(s169)) | until5(s170))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7656,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s169, s170)) | (~xuntil6(s169)) | until5(s170)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7655, 7654])).
% 8.56/6.04 tff(7657,plain,
% 8.56/6.04 ((~xuntil6(s169)) | until5(s170)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7656, 7653, 141])).
% 8.56/6.04 tff(7658,plain,
% 8.56/6.04 (~xuntil6(s169)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7657, 7650])).
% 8.56/6.04 tff(7659,plain,
% 8.56/6.04 (((~![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))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7660,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s169, s170)) | trans(s169, s170))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7661,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s169, s170)) | trans(s169, s170)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7660, 7659])).
% 8.56/6.04 tff(7662,plain,
% 8.56/6.04 (trans(s169, s170)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7661, 7653, 51])).
% 8.56/6.04 tff(7663,plain,
% 8.56/6.04 (((~![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))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7664,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s169, s170)) | (~always3(s169)) | always3(s170))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7665,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s169, s170)) | (~always3(s169)) | always3(s170)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7664, 7663])).
% 8.56/6.04 tff(7666,plain,
% 8.56/6.04 ((~always3(s169)) | always3(s170)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7665, 68, 7662])).
% 8.56/6.04 tff(7667,plain,
% 8.56/6.04 (~always3(s169)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7666, 7638])).
% 8.56/6.04 tff(7668,plain,
% 8.56/6.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s169) | (~node4(s169)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s169) | (~node4(s169)))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7669,plain,
% 8.56/6.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s169) | (~node4(s169)))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7670,plain,
% 8.56/6.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s169) | (~node4(s169))),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7669, 7668])).
% 8.56/6.04 tff(7671,plain,
% 8.56/6.04 (~node4(s169)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7670, 22, 7667])).
% 8.56/6.04 tff(7672,plain,
% 8.56/6.04 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s169) | node4(s169) | (~until5(s169)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s169) | node4(s169) | (~until5(s169)))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7673,plain,
% 8.56/6.04 ((node4(s169) | (~until5(s169)) | xuntil6(s169)) <=> (xuntil6(s169) | node4(s169) | (~until5(s169)))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7674,plain,
% 8.56/6.04 (((~![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))))),
% 8.56/6.04 inference(monotonicity,[status(thm)],[7673])).
% 8.56/6.04 tff(7675,plain,
% 8.56/6.04 (((~![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)))),
% 8.56/6.04 inference(transitivity,[status(thm)],[7674, 7672])).
% 8.56/6.04 tff(7676,plain,
% 8.56/6.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s169) | (~until5(s169)) | xuntil6(s169))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7677,plain,
% 8.56/6.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s169) | node4(s169) | (~until5(s169))),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7676, 7675])).
% 8.56/6.04 tff(7678,plain,
% 8.56/6.04 (xuntil6(s169) | (~until5(s169))),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7677, 36, 7671])).
% 8.56/6.04 tff(7679,plain,
% 8.56/6.04 (~until5(s169)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7678, 7658])).
% 8.56/6.04 tff(7680,plain,
% 8.56/6.04 (succ(s168, s169) <=> succ(s168, s169)),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7681,axiom,(succ(s168, s169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound169')).
% 8.56/6.04 tff(7682,plain,
% 8.56/6.04 (succ(s168, s169)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7681, 7680])).
% 8.56/6.04 tff(7683,plain,
% 8.56/6.04 (((~![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))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7684,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s168, s169)) | (~xuntil6(s168)) | until5(s169))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7685,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s168, s169)) | (~xuntil6(s168)) | until5(s169)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7684, 7683])).
% 8.56/6.04 tff(7686,plain,
% 8.56/6.04 ((~xuntil6(s168)) | until5(s169)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7685, 7682, 141])).
% 8.56/6.04 tff(7687,plain,
% 8.56/6.04 (~xuntil6(s168)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7686, 7679])).
% 8.56/6.04 tff(7688,plain,
% 8.56/6.04 (((~![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))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7689,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s168, s169)) | trans(s168, s169))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7690,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s168, s169)) | trans(s168, s169)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7689, 7688])).
% 8.56/6.04 tff(7691,plain,
% 8.56/6.04 (trans(s168, s169)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7690, 7682, 51])).
% 8.56/6.04 tff(7692,plain,
% 8.56/6.04 (((~![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))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7693,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s168, s169)) | (~always3(s168)) | always3(s169))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7694,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s168, s169)) | (~always3(s168)) | always3(s169)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7693, 7692])).
% 8.56/6.04 tff(7695,plain,
% 8.56/6.04 ((~always3(s168)) | always3(s169)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7694, 68, 7691])).
% 8.56/6.04 tff(7696,plain,
% 8.56/6.04 (~always3(s168)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7695, 7667])).
% 8.56/6.04 tff(7697,plain,
% 8.56/6.04 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s168) | (~node4(s168)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s168) | (~node4(s168)))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7698,plain,
% 8.56/6.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s168) | (~node4(s168)))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7699,plain,
% 8.56/6.04 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s168) | (~node4(s168))),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7698, 7697])).
% 8.56/6.04 tff(7700,plain,
% 8.56/6.04 (~node4(s168)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7699, 22, 7696])).
% 8.56/6.04 tff(7701,plain,
% 8.56/6.04 (((~![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)))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7702,plain,
% 8.56/6.04 ((node4(s168) | (~until5(s168)) | xuntil6(s168)) <=> (xuntil6(s168) | node4(s168) | (~until5(s168)))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7703,plain,
% 8.56/6.04 (((~![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))))),
% 8.56/6.04 inference(monotonicity,[status(thm)],[7702])).
% 8.56/6.04 tff(7704,plain,
% 8.56/6.04 (((~![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)))),
% 8.56/6.04 inference(transitivity,[status(thm)],[7703, 7701])).
% 8.56/6.04 tff(7705,plain,
% 8.56/6.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s168) | (~until5(s168)) | xuntil6(s168))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7706,plain,
% 8.56/6.04 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s168) | node4(s168) | (~until5(s168))),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7705, 7704])).
% 8.56/6.04 tff(7707,plain,
% 8.56/6.04 (xuntil6(s168) | (~until5(s168))),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7706, 36, 7700])).
% 8.56/6.04 tff(7708,plain,
% 8.56/6.04 (~until5(s168)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7707, 7687])).
% 8.56/6.04 tff(7709,plain,
% 8.56/6.04 (succ(s167, s168) <=> succ(s167, s168)),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7710,axiom,(succ(s167, s168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound168')).
% 8.56/6.04 tff(7711,plain,
% 8.56/6.04 (succ(s167, s168)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7710, 7709])).
% 8.56/6.04 tff(7712,plain,
% 8.56/6.04 (((~![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))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7713,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s167, s168)) | (~xuntil6(s167)) | until5(s168))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7714,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s167, s168)) | (~xuntil6(s167)) | until5(s168)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7713, 7712])).
% 8.56/6.04 tff(7715,plain,
% 8.56/6.04 ((~xuntil6(s167)) | until5(s168)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7714, 7711, 141])).
% 8.56/6.04 tff(7716,plain,
% 8.56/6.04 (~xuntil6(s167)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7715, 7708])).
% 8.56/6.04 tff(7717,plain,
% 8.56/6.04 (((~![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))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7718,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s167, s168)) | trans(s167, s168))),
% 8.56/6.04 inference(quant_inst,[status(thm)],[])).
% 8.56/6.04 tff(7719,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s167, s168)) | trans(s167, s168)),
% 8.56/6.04 inference(modus_ponens,[status(thm)],[7718, 7717])).
% 8.56/6.04 tff(7720,plain,
% 8.56/6.04 (trans(s167, s168)),
% 8.56/6.04 inference(unit_resolution,[status(thm)],[7719, 7711, 51])).
% 8.56/6.04 tff(7721,plain,
% 8.56/6.04 (((~![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))),
% 8.56/6.04 inference(rewrite,[status(thm)],[])).
% 8.56/6.04 tff(7722,plain,
% 8.56/6.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s167, s168)) | (~always3(s167)) | always3(s168))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7723,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s167, s168)) | (~always3(s167)) | always3(s168)),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7722, 7721])).
% 8.56/6.05 tff(7724,plain,
% 8.56/6.05 ((~always3(s167)) | always3(s168)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7723, 68, 7720])).
% 8.56/6.05 tff(7725,plain,
% 8.56/6.05 (~always3(s167)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7724, 7696])).
% 8.56/6.05 tff(7726,plain,
% 8.56/6.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s167) | (~node4(s167)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s167) | (~node4(s167)))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7727,plain,
% 8.56/6.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s167) | (~node4(s167)))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7728,plain,
% 8.56/6.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s167) | (~node4(s167))),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7727, 7726])).
% 8.56/6.05 tff(7729,plain,
% 8.56/6.05 (~node4(s167)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7728, 22, 7725])).
% 8.56/6.05 tff(7730,plain,
% 8.56/6.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s167) | node4(s167) | (~until5(s167)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s167) | node4(s167) | (~until5(s167)))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7731,plain,
% 8.56/6.05 ((node4(s167) | (~until5(s167)) | xuntil6(s167)) <=> (xuntil6(s167) | node4(s167) | (~until5(s167)))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7732,plain,
% 8.56/6.05 (((~![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))))),
% 8.56/6.05 inference(monotonicity,[status(thm)],[7731])).
% 8.56/6.05 tff(7733,plain,
% 8.56/6.05 (((~![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)))),
% 8.56/6.05 inference(transitivity,[status(thm)],[7732, 7730])).
% 8.56/6.05 tff(7734,plain,
% 8.56/6.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s167) | (~until5(s167)) | xuntil6(s167))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7735,plain,
% 8.56/6.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s167) | node4(s167) | (~until5(s167))),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7734, 7733])).
% 8.56/6.05 tff(7736,plain,
% 8.56/6.05 (xuntil6(s167) | (~until5(s167))),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7735, 36, 7729])).
% 8.56/6.05 tff(7737,plain,
% 8.56/6.05 (~until5(s167)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7736, 7716])).
% 8.56/6.05 tff(7738,plain,
% 8.56/6.05 (succ(s166, s167) <=> succ(s166, s167)),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7739,axiom,(succ(s166, s167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound167')).
% 8.56/6.05 tff(7740,plain,
% 8.56/6.05 (succ(s166, s167)),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7739, 7738])).
% 8.56/6.05 tff(7741,plain,
% 8.56/6.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s166, s167)) | (~xuntil6(s166)) | until5(s167))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s166, s167)) | (~xuntil6(s166)) | until5(s167))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7742,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s166, s167)) | (~xuntil6(s166)) | until5(s167))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7743,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s166, s167)) | (~xuntil6(s166)) | until5(s167)),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7742, 7741])).
% 8.56/6.05 tff(7744,plain,
% 8.56/6.05 ((~xuntil6(s166)) | until5(s167)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7743, 7740, 141])).
% 8.56/6.05 tff(7745,plain,
% 8.56/6.05 (~xuntil6(s166)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7744, 7737])).
% 8.56/6.05 tff(7746,plain,
% 8.56/6.05 (((~![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))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7747,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s166, s167)) | trans(s166, s167))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7748,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s166, s167)) | trans(s166, s167)),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7747, 7746])).
% 8.56/6.05 tff(7749,plain,
% 8.56/6.05 (trans(s166, s167)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7748, 7740, 51])).
% 8.56/6.05 tff(7750,plain,
% 8.56/6.05 (((~![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))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7751,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s166, s167)) | (~always3(s166)) | always3(s167))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7752,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s166, s167)) | (~always3(s166)) | always3(s167)),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7751, 7750])).
% 8.56/6.05 tff(7753,plain,
% 8.56/6.05 ((~always3(s166)) | always3(s167)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7752, 68, 7749])).
% 8.56/6.05 tff(7754,plain,
% 8.56/6.05 (~always3(s166)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7753, 7725])).
% 8.56/6.05 tff(7755,plain,
% 8.56/6.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s166) | (~node4(s166)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s166) | (~node4(s166)))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7756,plain,
% 8.56/6.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s166) | (~node4(s166)))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7757,plain,
% 8.56/6.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s166) | (~node4(s166))),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7756, 7755])).
% 8.56/6.05 tff(7758,plain,
% 8.56/6.05 (~node4(s166)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7757, 22, 7754])).
% 8.56/6.05 tff(7759,plain,
% 8.56/6.05 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s166) | node4(s166) | (~until5(s166)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s166) | node4(s166) | (~until5(s166)))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7760,plain,
% 8.56/6.05 ((node4(s166) | (~until5(s166)) | xuntil6(s166)) <=> (xuntil6(s166) | node4(s166) | (~until5(s166)))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7761,plain,
% 8.56/6.05 (((~![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))))),
% 8.56/6.05 inference(monotonicity,[status(thm)],[7760])).
% 8.56/6.05 tff(7762,plain,
% 8.56/6.05 (((~![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)))),
% 8.56/6.05 inference(transitivity,[status(thm)],[7761, 7759])).
% 8.56/6.05 tff(7763,plain,
% 8.56/6.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s166) | (~until5(s166)) | xuntil6(s166))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7764,plain,
% 8.56/6.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s166) | node4(s166) | (~until5(s166))),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7763, 7762])).
% 8.56/6.05 tff(7765,plain,
% 8.56/6.05 (xuntil6(s166) | (~until5(s166))),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7764, 36, 7758])).
% 8.56/6.05 tff(7766,plain,
% 8.56/6.05 (~until5(s166)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7765, 7745])).
% 8.56/6.05 tff(7767,plain,
% 8.56/6.05 (succ(s165, s166) <=> succ(s165, s166)),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7768,axiom,(succ(s165, s166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound166')).
% 8.56/6.05 tff(7769,plain,
% 8.56/6.05 (succ(s165, s166)),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7768, 7767])).
% 8.56/6.05 tff(7770,plain,
% 8.56/6.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s165, s166)) | (~xuntil6(s165)) | until5(s166))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s165, s166)) | (~xuntil6(s165)) | until5(s166))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7771,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s165, s166)) | (~xuntil6(s165)) | until5(s166))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7772,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s165, s166)) | (~xuntil6(s165)) | until5(s166)),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7771, 7770])).
% 8.56/6.05 tff(7773,plain,
% 8.56/6.05 ((~xuntil6(s165)) | until5(s166)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7772, 7769, 141])).
% 8.56/6.05 tff(7774,plain,
% 8.56/6.05 (~xuntil6(s165)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7773, 7766])).
% 8.56/6.05 tff(7775,plain,
% 8.56/6.05 (((~![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))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7776,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s165, s166)) | trans(s165, s166))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7777,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s165, s166)) | trans(s165, s166)),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7776, 7775])).
% 8.56/6.05 tff(7778,plain,
% 8.56/6.05 (trans(s165, s166)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7777, 7769, 51])).
% 8.56/6.05 tff(7779,plain,
% 8.56/6.05 (((~![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))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7780,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s165, s166)) | (~always3(s165)) | always3(s166))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7781,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s165, s166)) | (~always3(s165)) | always3(s166)),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7780, 7779])).
% 8.56/6.05 tff(7782,plain,
% 8.56/6.05 ((~always3(s165)) | always3(s166)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7781, 68, 7778])).
% 8.56/6.05 tff(7783,plain,
% 8.56/6.05 (~always3(s165)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7782, 7754])).
% 8.56/6.05 tff(7784,plain,
% 8.56/6.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s165) | (~node4(s165)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s165) | (~node4(s165)))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7785,plain,
% 8.56/6.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s165) | (~node4(s165)))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7786,plain,
% 8.56/6.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s165) | (~node4(s165))),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7785, 7784])).
% 8.56/6.05 tff(7787,plain,
% 8.56/6.05 (~node4(s165)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7786, 22, 7783])).
% 8.56/6.05 tff(7788,plain,
% 8.56/6.05 (((~![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)))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7789,plain,
% 8.56/6.05 ((node4(s165) | (~until5(s165)) | xuntil6(s165)) <=> (xuntil6(s165) | node4(s165) | (~until5(s165)))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7790,plain,
% 8.56/6.05 (((~![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))))),
% 8.56/6.05 inference(monotonicity,[status(thm)],[7789])).
% 8.56/6.05 tff(7791,plain,
% 8.56/6.05 (((~![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)))),
% 8.56/6.05 inference(transitivity,[status(thm)],[7790, 7788])).
% 8.56/6.05 tff(7792,plain,
% 8.56/6.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s165) | (~until5(s165)) | xuntil6(s165))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7793,plain,
% 8.56/6.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s165) | node4(s165) | (~until5(s165))),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7792, 7791])).
% 8.56/6.05 tff(7794,plain,
% 8.56/6.05 (xuntil6(s165) | (~until5(s165))),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7793, 36, 7787])).
% 8.56/6.05 tff(7795,plain,
% 8.56/6.05 (~until5(s165)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7794, 7774])).
% 8.56/6.05 tff(7796,plain,
% 8.56/6.05 (succ(s164, s165) <=> succ(s164, s165)),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7797,axiom,(succ(s164, s165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound165')).
% 8.56/6.05 tff(7798,plain,
% 8.56/6.05 (succ(s164, s165)),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7797, 7796])).
% 8.56/6.05 tff(7799,plain,
% 8.56/6.05 (((~![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))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7800,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s164, s165)) | (~xuntil6(s164)) | until5(s165))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7801,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s164, s165)) | (~xuntil6(s164)) | until5(s165)),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7800, 7799])).
% 8.56/6.05 tff(7802,plain,
% 8.56/6.05 ((~xuntil6(s164)) | until5(s165)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7801, 7798, 141])).
% 8.56/6.05 tff(7803,plain,
% 8.56/6.05 (~xuntil6(s164)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7802, 7795])).
% 8.56/6.05 tff(7804,plain,
% 8.56/6.05 (((~![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))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7805,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s164, s165)) | trans(s164, s165))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7806,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s164, s165)) | trans(s164, s165)),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7805, 7804])).
% 8.56/6.05 tff(7807,plain,
% 8.56/6.05 (trans(s164, s165)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7806, 7798, 51])).
% 8.56/6.05 tff(7808,plain,
% 8.56/6.05 (((~![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))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7809,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s164, s165)) | (~always3(s164)) | always3(s165))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7810,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s164, s165)) | (~always3(s164)) | always3(s165)),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7809, 7808])).
% 8.56/6.05 tff(7811,plain,
% 8.56/6.05 ((~always3(s164)) | always3(s165)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7810, 68, 7807])).
% 8.56/6.05 tff(7812,plain,
% 8.56/6.05 (~always3(s164)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7811, 7783])).
% 8.56/6.05 tff(7813,plain,
% 8.56/6.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s164) | (~node4(s164)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s164) | (~node4(s164)))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7814,plain,
% 8.56/6.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s164) | (~node4(s164)))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7815,plain,
% 8.56/6.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s164) | (~node4(s164))),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7814, 7813])).
% 8.56/6.05 tff(7816,plain,
% 8.56/6.05 (~node4(s164)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7815, 22, 7812])).
% 8.56/6.05 tff(7817,plain,
% 8.56/6.05 (((~![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)))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7818,plain,
% 8.56/6.05 ((node4(s164) | (~until5(s164)) | xuntil6(s164)) <=> (xuntil6(s164) | node4(s164) | (~until5(s164)))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7819,plain,
% 8.56/6.05 (((~![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))))),
% 8.56/6.05 inference(monotonicity,[status(thm)],[7818])).
% 8.56/6.05 tff(7820,plain,
% 8.56/6.05 (((~![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)))),
% 8.56/6.05 inference(transitivity,[status(thm)],[7819, 7817])).
% 8.56/6.05 tff(7821,plain,
% 8.56/6.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s164) | (~until5(s164)) | xuntil6(s164))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7822,plain,
% 8.56/6.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s164) | node4(s164) | (~until5(s164))),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7821, 7820])).
% 8.56/6.05 tff(7823,plain,
% 8.56/6.05 (xuntil6(s164) | (~until5(s164))),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7822, 36, 7816])).
% 8.56/6.05 tff(7824,plain,
% 8.56/6.05 (~until5(s164)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7823, 7803])).
% 8.56/6.05 tff(7825,plain,
% 8.56/6.05 (succ(s163, s164) <=> succ(s163, s164)),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7826,axiom,(succ(s163, s164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound164')).
% 8.56/6.05 tff(7827,plain,
% 8.56/6.05 (succ(s163, s164)),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7826, 7825])).
% 8.56/6.05 tff(7828,plain,
% 8.56/6.05 (((~![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))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7829,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s163, s164)) | (~xuntil6(s163)) | until5(s164))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7830,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s163, s164)) | (~xuntil6(s163)) | until5(s164)),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7829, 7828])).
% 8.56/6.05 tff(7831,plain,
% 8.56/6.05 ((~xuntil6(s163)) | until5(s164)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7830, 7827, 141])).
% 8.56/6.05 tff(7832,plain,
% 8.56/6.05 (~xuntil6(s163)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7831, 7824])).
% 8.56/6.05 tff(7833,plain,
% 8.56/6.05 (((~![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))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7834,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s163, s164)) | trans(s163, s164))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7835,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s163, s164)) | trans(s163, s164)),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7834, 7833])).
% 8.56/6.05 tff(7836,plain,
% 8.56/6.05 (trans(s163, s164)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7835, 7827, 51])).
% 8.56/6.05 tff(7837,plain,
% 8.56/6.05 (((~![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))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7838,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s163, s164)) | (~always3(s163)) | always3(s164))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7839,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s163, s164)) | (~always3(s163)) | always3(s164)),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7838, 7837])).
% 8.56/6.05 tff(7840,plain,
% 8.56/6.05 ((~always3(s163)) | always3(s164)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7839, 68, 7836])).
% 8.56/6.05 tff(7841,plain,
% 8.56/6.05 (~always3(s163)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7840, 7812])).
% 8.56/6.05 tff(7842,plain,
% 8.56/6.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s163) | (~node4(s163)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s163) | (~node4(s163)))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7843,plain,
% 8.56/6.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s163) | (~node4(s163)))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7844,plain,
% 8.56/6.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s163) | (~node4(s163))),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7843, 7842])).
% 8.56/6.05 tff(7845,plain,
% 8.56/6.05 (~node4(s163)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7844, 22, 7841])).
% 8.56/6.05 tff(7846,plain,
% 8.56/6.05 (((~![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)))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7847,plain,
% 8.56/6.05 ((node4(s163) | (~until5(s163)) | xuntil6(s163)) <=> (xuntil6(s163) | node4(s163) | (~until5(s163)))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7848,plain,
% 8.56/6.05 (((~![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))))),
% 8.56/6.05 inference(monotonicity,[status(thm)],[7847])).
% 8.56/6.05 tff(7849,plain,
% 8.56/6.05 (((~![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)))),
% 8.56/6.05 inference(transitivity,[status(thm)],[7848, 7846])).
% 8.56/6.05 tff(7850,plain,
% 8.56/6.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s163) | (~until5(s163)) | xuntil6(s163))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7851,plain,
% 8.56/6.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s163) | node4(s163) | (~until5(s163))),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7850, 7849])).
% 8.56/6.05 tff(7852,plain,
% 8.56/6.05 (xuntil6(s163) | (~until5(s163))),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7851, 36, 7845])).
% 8.56/6.05 tff(7853,plain,
% 8.56/6.05 (~until5(s163)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7852, 7832])).
% 8.56/6.05 tff(7854,plain,
% 8.56/6.05 (succ(s162, s163) <=> succ(s162, s163)),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7855,axiom,(succ(s162, s163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound163')).
% 8.56/6.05 tff(7856,plain,
% 8.56/6.05 (succ(s162, s163)),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7855, 7854])).
% 8.56/6.05 tff(7857,plain,
% 8.56/6.05 (((~![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))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7858,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s162, s163)) | (~xuntil6(s162)) | until5(s163))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7859,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s162, s163)) | (~xuntil6(s162)) | until5(s163)),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7858, 7857])).
% 8.56/6.05 tff(7860,plain,
% 8.56/6.05 ((~xuntil6(s162)) | until5(s163)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7859, 7856, 141])).
% 8.56/6.05 tff(7861,plain,
% 8.56/6.05 (~xuntil6(s162)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7860, 7853])).
% 8.56/6.05 tff(7862,plain,
% 8.56/6.05 (((~![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))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7863,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s162, s163)) | trans(s162, s163))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7864,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s162, s163)) | trans(s162, s163)),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7863, 7862])).
% 8.56/6.05 tff(7865,plain,
% 8.56/6.05 (trans(s162, s163)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7864, 7856, 51])).
% 8.56/6.05 tff(7866,plain,
% 8.56/6.05 (((~![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))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7867,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s162, s163)) | (~always3(s162)) | always3(s163))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7868,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s162, s163)) | (~always3(s162)) | always3(s163)),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7867, 7866])).
% 8.56/6.05 tff(7869,plain,
% 8.56/6.05 ((~always3(s162)) | always3(s163)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7868, 68, 7865])).
% 8.56/6.05 tff(7870,plain,
% 8.56/6.05 (~always3(s162)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7869, 7841])).
% 8.56/6.05 tff(7871,plain,
% 8.56/6.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s162) | (~node4(s162)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s162) | (~node4(s162)))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7872,plain,
% 8.56/6.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s162) | (~node4(s162)))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7873,plain,
% 8.56/6.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s162) | (~node4(s162))),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7872, 7871])).
% 8.56/6.05 tff(7874,plain,
% 8.56/6.05 (~node4(s162)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7873, 22, 7870])).
% 8.56/6.05 tff(7875,plain,
% 8.56/6.05 (((~![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)))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7876,plain,
% 8.56/6.05 ((node4(s162) | (~until5(s162)) | xuntil6(s162)) <=> (xuntil6(s162) | node4(s162) | (~until5(s162)))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7877,plain,
% 8.56/6.05 (((~![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))))),
% 8.56/6.05 inference(monotonicity,[status(thm)],[7876])).
% 8.56/6.05 tff(7878,plain,
% 8.56/6.05 (((~![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)))),
% 8.56/6.05 inference(transitivity,[status(thm)],[7877, 7875])).
% 8.56/6.05 tff(7879,plain,
% 8.56/6.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s162) | (~until5(s162)) | xuntil6(s162))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7880,plain,
% 8.56/6.05 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s162) | node4(s162) | (~until5(s162))),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7879, 7878])).
% 8.56/6.05 tff(7881,plain,
% 8.56/6.05 (xuntil6(s162) | (~until5(s162))),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7880, 36, 7874])).
% 8.56/6.05 tff(7882,plain,
% 8.56/6.05 (~until5(s162)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7881, 7861])).
% 8.56/6.05 tff(7883,plain,
% 8.56/6.05 (succ(s161, s162) <=> succ(s161, s162)),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7884,axiom,(succ(s161, s162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound162')).
% 8.56/6.05 tff(7885,plain,
% 8.56/6.05 (succ(s161, s162)),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7884, 7883])).
% 8.56/6.05 tff(7886,plain,
% 8.56/6.05 (((~![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))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7887,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s161, s162)) | (~xuntil6(s161)) | until5(s162))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7888,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s161, s162)) | (~xuntil6(s161)) | until5(s162)),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7887, 7886])).
% 8.56/6.05 tff(7889,plain,
% 8.56/6.05 ((~xuntil6(s161)) | until5(s162)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7888, 7885, 141])).
% 8.56/6.05 tff(7890,plain,
% 8.56/6.05 (~xuntil6(s161)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7889, 7882])).
% 8.56/6.05 tff(7891,plain,
% 8.56/6.05 (((~![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))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7892,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s161, s162)) | trans(s161, s162))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7893,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s161, s162)) | trans(s161, s162)),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7892, 7891])).
% 8.56/6.05 tff(7894,plain,
% 8.56/6.05 (trans(s161, s162)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7893, 7885, 51])).
% 8.56/6.05 tff(7895,plain,
% 8.56/6.05 (((~![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))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7896,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s161, s162)) | (~always3(s161)) | always3(s162))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7897,plain,
% 8.56/6.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s161, s162)) | (~always3(s161)) | always3(s162)),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7896, 7895])).
% 8.56/6.05 tff(7898,plain,
% 8.56/6.05 ((~always3(s161)) | always3(s162)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7897, 68, 7894])).
% 8.56/6.05 tff(7899,plain,
% 8.56/6.05 (~always3(s161)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7898, 7870])).
% 8.56/6.05 tff(7900,plain,
% 8.56/6.05 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s161) | (~node4(s161)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s161) | (~node4(s161)))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7901,plain,
% 8.56/6.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s161) | (~node4(s161)))),
% 8.56/6.05 inference(quant_inst,[status(thm)],[])).
% 8.56/6.05 tff(7902,plain,
% 8.56/6.05 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s161) | (~node4(s161))),
% 8.56/6.05 inference(modus_ponens,[status(thm)],[7901, 7900])).
% 8.56/6.05 tff(7903,plain,
% 8.56/6.05 (~node4(s161)),
% 8.56/6.05 inference(unit_resolution,[status(thm)],[7902, 22, 7899])).
% 8.56/6.05 tff(7904,plain,
% 8.56/6.05 (((~![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)))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7905,plain,
% 8.56/6.05 ((node4(s161) | (~until5(s161)) | xuntil6(s161)) <=> (xuntil6(s161) | node4(s161) | (~until5(s161)))),
% 8.56/6.05 inference(rewrite,[status(thm)],[])).
% 8.56/6.05 tff(7906,plain,
% 8.56/6.05 (((~![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))))),
% 8.56/6.05 inference(monotonicity,[status(thm)],[7905])).
% 8.56/6.05 tff(7907,plain,
% 8.56/6.05 (((~![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)))),
% 8.56/6.05 inference(transitivity,[status(thm)],[7906, 7904])).
% 8.56/6.05 tff(7908,plain,
% 8.56/6.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s161) | (~until5(s161)) | xuntil6(s161))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(7909,plain,
% 8.56/6.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s161) | node4(s161) | (~until5(s161))),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[7908, 7907])).
% 8.56/6.06 tff(7910,plain,
% 8.56/6.06 (xuntil6(s161) | (~until5(s161))),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[7909, 36, 7903])).
% 8.56/6.06 tff(7911,plain,
% 8.56/6.06 (~until5(s161)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[7910, 7890])).
% 8.56/6.06 tff(7912,plain,
% 8.56/6.06 (succ(s160, s161) <=> succ(s160, s161)),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(7913,axiom,(succ(s160, s161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound161')).
% 8.56/6.06 tff(7914,plain,
% 8.56/6.06 (succ(s160, s161)),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[7913, 7912])).
% 8.56/6.06 tff(7915,plain,
% 8.56/6.06 (((~![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))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(7916,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s160, s161)) | (~xuntil6(s160)) | until5(s161))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(7917,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s160, s161)) | (~xuntil6(s160)) | until5(s161)),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[7916, 7915])).
% 8.56/6.06 tff(7918,plain,
% 8.56/6.06 ((~xuntil6(s160)) | until5(s161)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[7917, 7914, 141])).
% 8.56/6.06 tff(7919,plain,
% 8.56/6.06 (~xuntil6(s160)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[7918, 7911])).
% 8.56/6.06 tff(7920,plain,
% 8.56/6.06 (((~![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))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(7921,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s160, s161)) | trans(s160, s161))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(7922,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s160, s161)) | trans(s160, s161)),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[7921, 7920])).
% 8.56/6.06 tff(7923,plain,
% 8.56/6.06 (trans(s160, s161)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[7922, 7914, 51])).
% 8.56/6.06 tff(7924,plain,
% 8.56/6.06 (((~![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))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(7925,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s160, s161)) | (~always3(s160)) | always3(s161))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(7926,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s160, s161)) | (~always3(s160)) | always3(s161)),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[7925, 7924])).
% 8.56/6.06 tff(7927,plain,
% 8.56/6.06 ((~always3(s160)) | always3(s161)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[7926, 68, 7923])).
% 8.56/6.06 tff(7928,plain,
% 8.56/6.06 (~always3(s160)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[7927, 7899])).
% 8.56/6.06 tff(7929,plain,
% 8.56/6.06 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s160) | (~node4(s160)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s160) | (~node4(s160)))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(7930,plain,
% 8.56/6.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s160) | (~node4(s160)))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(7931,plain,
% 8.56/6.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s160) | (~node4(s160))),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[7930, 7929])).
% 8.56/6.06 tff(7932,plain,
% 8.56/6.06 (~node4(s160)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[7931, 22, 7928])).
% 8.56/6.06 tff(7933,plain,
% 8.56/6.06 (((~![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)))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(7934,plain,
% 8.56/6.06 ((node4(s160) | (~until5(s160)) | xuntil6(s160)) <=> (xuntil6(s160) | node4(s160) | (~until5(s160)))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(7935,plain,
% 8.56/6.06 (((~![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))))),
% 8.56/6.06 inference(monotonicity,[status(thm)],[7934])).
% 8.56/6.06 tff(7936,plain,
% 8.56/6.06 (((~![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)))),
% 8.56/6.06 inference(transitivity,[status(thm)],[7935, 7933])).
% 8.56/6.06 tff(7937,plain,
% 8.56/6.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s160) | (~until5(s160)) | xuntil6(s160))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(7938,plain,
% 8.56/6.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s160) | node4(s160) | (~until5(s160))),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[7937, 7936])).
% 8.56/6.06 tff(7939,plain,
% 8.56/6.06 (xuntil6(s160) | (~until5(s160))),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[7938, 36, 7932])).
% 8.56/6.06 tff(7940,plain,
% 8.56/6.06 (~until5(s160)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[7939, 7919])).
% 8.56/6.06 tff(7941,plain,
% 8.56/6.06 (succ(s159, s160) <=> succ(s159, s160)),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(7942,axiom,(succ(s159, s160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound160')).
% 8.56/6.06 tff(7943,plain,
% 8.56/6.06 (succ(s159, s160)),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[7942, 7941])).
% 8.56/6.06 tff(7944,plain,
% 8.56/6.06 (((~![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))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(7945,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s159, s160)) | (~xuntil6(s159)) | until5(s160))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(7946,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s159, s160)) | (~xuntil6(s159)) | until5(s160)),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[7945, 7944])).
% 8.56/6.06 tff(7947,plain,
% 8.56/6.06 ((~xuntil6(s159)) | until5(s160)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[7946, 7943, 141])).
% 8.56/6.06 tff(7948,plain,
% 8.56/6.06 (~xuntil6(s159)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[7947, 7940])).
% 8.56/6.06 tff(7949,plain,
% 8.56/6.06 (((~![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))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(7950,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s159, s160)) | trans(s159, s160))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(7951,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s159, s160)) | trans(s159, s160)),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[7950, 7949])).
% 8.56/6.06 tff(7952,plain,
% 8.56/6.06 (trans(s159, s160)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[7951, 7943, 51])).
% 8.56/6.06 tff(7953,plain,
% 8.56/6.06 (((~![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))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(7954,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s159, s160)) | (~always3(s159)) | always3(s160))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(7955,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s159, s160)) | (~always3(s159)) | always3(s160)),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[7954, 7953])).
% 8.56/6.06 tff(7956,plain,
% 8.56/6.06 ((~always3(s159)) | always3(s160)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[7955, 68, 7952])).
% 8.56/6.06 tff(7957,plain,
% 8.56/6.06 (~always3(s159)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[7956, 7928])).
% 8.56/6.06 tff(7958,plain,
% 8.56/6.06 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s159) | (~node4(s159)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s159) | (~node4(s159)))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(7959,plain,
% 8.56/6.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s159) | (~node4(s159)))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(7960,plain,
% 8.56/6.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s159) | (~node4(s159))),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[7959, 7958])).
% 8.56/6.06 tff(7961,plain,
% 8.56/6.06 (~node4(s159)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[7960, 22, 7957])).
% 8.56/6.06 tff(7962,plain,
% 8.56/6.06 (((~![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)))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(7963,plain,
% 8.56/6.06 ((node4(s159) | (~until5(s159)) | xuntil6(s159)) <=> (xuntil6(s159) | node4(s159) | (~until5(s159)))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(7964,plain,
% 8.56/6.06 (((~![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))))),
% 8.56/6.06 inference(monotonicity,[status(thm)],[7963])).
% 8.56/6.06 tff(7965,plain,
% 8.56/6.06 (((~![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)))),
% 8.56/6.06 inference(transitivity,[status(thm)],[7964, 7962])).
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% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(7967,plain,
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% 8.56/6.06 inference(modus_ponens,[status(thm)],[7966, 7965])).
% 8.56/6.06 tff(7968,plain,
% 8.56/6.06 (xuntil6(s159) | (~until5(s159))),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[7967, 36, 7961])).
% 8.56/6.06 tff(7969,plain,
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% 8.56/6.06 inference(unit_resolution,[status(thm)],[7968, 7948])).
% 8.56/6.06 tff(7970,plain,
% 8.56/6.06 (succ(s158, s159) <=> succ(s158, s159)),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(7971,axiom,(succ(s158, s159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound159')).
% 8.56/6.06 tff(7972,plain,
% 8.56/6.06 (succ(s158, s159)),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[7971, 7970])).
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% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(7974,plain,
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% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(7975,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s158, s159)) | (~xuntil6(s158)) | until5(s159)),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[7974, 7973])).
% 8.56/6.06 tff(7976,plain,
% 8.56/6.06 ((~xuntil6(s158)) | until5(s159)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[7975, 7972, 141])).
% 8.56/6.06 tff(7977,plain,
% 8.56/6.06 (~xuntil6(s158)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[7976, 7969])).
% 8.56/6.06 tff(7978,plain,
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% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(7979,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s158, s159)) | trans(s158, s159))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(7980,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s158, s159)) | trans(s158, s159)),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[7979, 7978])).
% 8.56/6.06 tff(7981,plain,
% 8.56/6.06 (trans(s158, s159)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[7980, 7972, 51])).
% 8.56/6.06 tff(7982,plain,
% 8.56/6.06 (((~![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))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(7983,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s158, s159)) | (~always3(s158)) | always3(s159))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(7984,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s158, s159)) | (~always3(s158)) | always3(s159)),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[7983, 7982])).
% 8.56/6.06 tff(7985,plain,
% 8.56/6.06 ((~always3(s158)) | always3(s159)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[7984, 68, 7981])).
% 8.56/6.06 tff(7986,plain,
% 8.56/6.06 (~always3(s158)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[7985, 7957])).
% 8.56/6.06 tff(7987,plain,
% 8.56/6.06 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s158) | (~node4(s158)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s158) | (~node4(s158)))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(7988,plain,
% 8.56/6.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s158) | (~node4(s158)))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(7989,plain,
% 8.56/6.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s158) | (~node4(s158))),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[7988, 7987])).
% 8.56/6.06 tff(7990,plain,
% 8.56/6.06 (~node4(s158)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[7989, 22, 7986])).
% 8.56/6.06 tff(7991,plain,
% 8.56/6.06 (((~![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)))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
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% 8.56/6.06 ((node4(s158) | (~until5(s158)) | xuntil6(s158)) <=> (xuntil6(s158) | node4(s158) | (~until5(s158)))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(7993,plain,
% 8.56/6.06 (((~![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))))),
% 8.56/6.06 inference(monotonicity,[status(thm)],[7992])).
% 8.56/6.06 tff(7994,plain,
% 8.56/6.06 (((~![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)))),
% 8.56/6.06 inference(transitivity,[status(thm)],[7993, 7991])).
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% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(7996,plain,
% 8.56/6.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s158) | node4(s158) | (~until5(s158))),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[7995, 7994])).
% 8.56/6.06 tff(7997,plain,
% 8.56/6.06 (xuntil6(s158) | (~until5(s158))),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[7996, 36, 7990])).
% 8.56/6.06 tff(7998,plain,
% 8.56/6.06 (~until5(s158)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[7997, 7977])).
% 8.56/6.06 tff(7999,plain,
% 8.56/6.06 (succ(s157, s158) <=> succ(s157, s158)),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(8000,axiom,(succ(s157, s158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound158')).
% 8.56/6.06 tff(8001,plain,
% 8.56/6.06 (succ(s157, s158)),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[8000, 7999])).
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% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(8003,plain,
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% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(8004,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s157, s158)) | (~xuntil6(s157)) | until5(s158)),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[8003, 8002])).
% 8.56/6.06 tff(8005,plain,
% 8.56/6.06 ((~xuntil6(s157)) | until5(s158)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[8004, 8001, 141])).
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% 8.56/6.06 (~xuntil6(s157)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[8005, 7998])).
% 8.56/6.06 tff(8007,plain,
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% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(8008,plain,
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% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(8009,plain,
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% 8.56/6.06 inference(modus_ponens,[status(thm)],[8008, 8007])).
% 8.56/6.06 tff(8010,plain,
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% 8.56/6.06 inference(unit_resolution,[status(thm)],[8009, 8001, 51])).
% 8.56/6.06 tff(8011,plain,
% 8.56/6.06 (((~![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))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(8012,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s157, s158)) | (~always3(s157)) | always3(s158))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(8013,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s157, s158)) | (~always3(s157)) | always3(s158)),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[8012, 8011])).
% 8.56/6.06 tff(8014,plain,
% 8.56/6.06 ((~always3(s157)) | always3(s158)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[8013, 68, 8010])).
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% 8.56/6.06 (~always3(s157)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[8014, 7986])).
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% 8.56/6.06 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s157) | (~node4(s157)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s157) | (~node4(s157)))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
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% 8.56/6.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s157) | (~node4(s157)))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(8018,plain,
% 8.56/6.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s157) | (~node4(s157))),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[8017, 8016])).
% 8.56/6.06 tff(8019,plain,
% 8.56/6.06 (~node4(s157)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[8018, 22, 8015])).
% 8.56/6.06 tff(8020,plain,
% 8.56/6.06 (((~![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)))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(8021,plain,
% 8.56/6.06 ((node4(s157) | (~until5(s157)) | xuntil6(s157)) <=> (xuntil6(s157) | node4(s157) | (~until5(s157)))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(8022,plain,
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% 8.56/6.06 inference(monotonicity,[status(thm)],[8021])).
% 8.56/6.06 tff(8023,plain,
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% 8.56/6.06 inference(transitivity,[status(thm)],[8022, 8020])).
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% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(8025,plain,
% 8.56/6.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s157) | node4(s157) | (~until5(s157))),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[8024, 8023])).
% 8.56/6.06 tff(8026,plain,
% 8.56/6.06 (xuntil6(s157) | (~until5(s157))),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[8025, 36, 8019])).
% 8.56/6.06 tff(8027,plain,
% 8.56/6.06 (~until5(s157)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[8026, 8006])).
% 8.56/6.06 tff(8028,plain,
% 8.56/6.06 (succ(s156, s157) <=> succ(s156, s157)),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(8029,axiom,(succ(s156, s157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound157')).
% 8.56/6.06 tff(8030,plain,
% 8.56/6.06 (succ(s156, s157)),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[8029, 8028])).
% 8.56/6.06 tff(8031,plain,
% 8.56/6.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s156, s157)) | (~xuntil6(s156)) | until5(s157))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s156, s157)) | (~xuntil6(s156)) | until5(s157))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(8032,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s156, s157)) | (~xuntil6(s156)) | until5(s157))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(8033,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s156, s157)) | (~xuntil6(s156)) | until5(s157)),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[8032, 8031])).
% 8.56/6.06 tff(8034,plain,
% 8.56/6.06 ((~xuntil6(s156)) | until5(s157)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[8033, 8030, 141])).
% 8.56/6.06 tff(8035,plain,
% 8.56/6.06 (~xuntil6(s156)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[8034, 8027])).
% 8.56/6.06 tff(8036,plain,
% 8.56/6.06 (((~![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))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(8037,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s156, s157)) | trans(s156, s157))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(8038,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s156, s157)) | trans(s156, s157)),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[8037, 8036])).
% 8.56/6.06 tff(8039,plain,
% 8.56/6.06 (trans(s156, s157)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[8038, 8030, 51])).
% 8.56/6.06 tff(8040,plain,
% 8.56/6.06 (((~![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))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(8041,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s156, s157)) | (~always3(s156)) | always3(s157))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(8042,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s156, s157)) | (~always3(s156)) | always3(s157)),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[8041, 8040])).
% 8.56/6.06 tff(8043,plain,
% 8.56/6.06 ((~always3(s156)) | always3(s157)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[8042, 68, 8039])).
% 8.56/6.06 tff(8044,plain,
% 8.56/6.06 (~always3(s156)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[8043, 8015])).
% 8.56/6.06 tff(8045,plain,
% 8.56/6.06 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s156) | (~node4(s156)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s156) | (~node4(s156)))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(8046,plain,
% 8.56/6.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s156) | (~node4(s156)))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(8047,plain,
% 8.56/6.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s156) | (~node4(s156))),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[8046, 8045])).
% 8.56/6.06 tff(8048,plain,
% 8.56/6.06 (~node4(s156)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[8047, 22, 8044])).
% 8.56/6.06 tff(8049,plain,
% 8.56/6.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s156) | node4(s156) | (~until5(s156)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s156) | node4(s156) | (~until5(s156)))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(8050,plain,
% 8.56/6.06 ((node4(s156) | (~until5(s156)) | xuntil6(s156)) <=> (xuntil6(s156) | node4(s156) | (~until5(s156)))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(8051,plain,
% 8.56/6.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s156) | (~until5(s156)) | xuntil6(s156))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s156) | node4(s156) | (~until5(s156))))),
% 8.56/6.06 inference(monotonicity,[status(thm)],[8050])).
% 8.56/6.06 tff(8052,plain,
% 8.56/6.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s156) | (~until5(s156)) | xuntil6(s156))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s156) | node4(s156) | (~until5(s156)))),
% 8.56/6.06 inference(transitivity,[status(thm)],[8051, 8049])).
% 8.56/6.06 tff(8053,plain,
% 8.56/6.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s156) | (~until5(s156)) | xuntil6(s156))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(8054,plain,
% 8.56/6.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s156) | node4(s156) | (~until5(s156))),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[8053, 8052])).
% 8.56/6.06 tff(8055,plain,
% 8.56/6.06 (xuntil6(s156) | (~until5(s156))),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[8054, 36, 8048])).
% 8.56/6.06 tff(8056,plain,
% 8.56/6.06 (~until5(s156)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[8055, 8035])).
% 8.56/6.06 tff(8057,plain,
% 8.56/6.06 (succ(s155, s156) <=> succ(s155, s156)),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(8058,axiom,(succ(s155, s156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound156')).
% 8.56/6.06 tff(8059,plain,
% 8.56/6.06 (succ(s155, s156)),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[8058, 8057])).
% 8.56/6.06 tff(8060,plain,
% 8.56/6.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s155, s156)) | (~xuntil6(s155)) | until5(s156))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s155, s156)) | (~xuntil6(s155)) | until5(s156))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(8061,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s155, s156)) | (~xuntil6(s155)) | until5(s156))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(8062,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s155, s156)) | (~xuntil6(s155)) | until5(s156)),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[8061, 8060])).
% 8.56/6.06 tff(8063,plain,
% 8.56/6.06 ((~xuntil6(s155)) | until5(s156)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[8062, 8059, 141])).
% 8.56/6.06 tff(8064,plain,
% 8.56/6.06 (~xuntil6(s155)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[8063, 8056])).
% 8.56/6.06 tff(8065,plain,
% 8.56/6.06 (((~![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))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(8066,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s155, s156)) | trans(s155, s156))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(8067,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s155, s156)) | trans(s155, s156)),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[8066, 8065])).
% 8.56/6.06 tff(8068,plain,
% 8.56/6.06 (trans(s155, s156)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[8067, 8059, 51])).
% 8.56/6.06 tff(8069,plain,
% 8.56/6.06 (((~![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))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(8070,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s155, s156)) | (~always3(s155)) | always3(s156))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(8071,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s155, s156)) | (~always3(s155)) | always3(s156)),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[8070, 8069])).
% 8.56/6.06 tff(8072,plain,
% 8.56/6.06 ((~always3(s155)) | always3(s156)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[8071, 68, 8068])).
% 8.56/6.06 tff(8073,plain,
% 8.56/6.06 (~always3(s155)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[8072, 8044])).
% 8.56/6.06 tff(8074,plain,
% 8.56/6.06 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s155) | (~node4(s155)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s155) | (~node4(s155)))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(8075,plain,
% 8.56/6.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s155) | (~node4(s155)))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(8076,plain,
% 8.56/6.06 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s155) | (~node4(s155))),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[8075, 8074])).
% 8.56/6.06 tff(8077,plain,
% 8.56/6.06 (~node4(s155)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[8076, 22, 8073])).
% 8.56/6.06 tff(8078,plain,
% 8.56/6.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s155) | node4(s155) | (~until5(s155)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s155) | node4(s155) | (~until5(s155)))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(8079,plain,
% 8.56/6.06 ((node4(s155) | (~until5(s155)) | xuntil6(s155)) <=> (xuntil6(s155) | node4(s155) | (~until5(s155)))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(8080,plain,
% 8.56/6.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s155) | (~until5(s155)) | xuntil6(s155))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s155) | node4(s155) | (~until5(s155))))),
% 8.56/6.06 inference(monotonicity,[status(thm)],[8079])).
% 8.56/6.06 tff(8081,plain,
% 8.56/6.06 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s155) | (~until5(s155)) | xuntil6(s155))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s155) | node4(s155) | (~until5(s155)))),
% 8.56/6.06 inference(transitivity,[status(thm)],[8080, 8078])).
% 8.56/6.06 tff(8082,plain,
% 8.56/6.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s155) | (~until5(s155)) | xuntil6(s155))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(8083,plain,
% 8.56/6.06 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s155) | node4(s155) | (~until5(s155))),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[8082, 8081])).
% 8.56/6.06 tff(8084,plain,
% 8.56/6.06 (xuntil6(s155) | (~until5(s155))),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[8083, 36, 8077])).
% 8.56/6.06 tff(8085,plain,
% 8.56/6.06 (~until5(s155)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[8084, 8064])).
% 8.56/6.06 tff(8086,plain,
% 8.56/6.06 (succ(s154, s155) <=> succ(s154, s155)),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(8087,axiom,(succ(s154, s155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound155')).
% 8.56/6.06 tff(8088,plain,
% 8.56/6.06 (succ(s154, s155)),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[8087, 8086])).
% 8.56/6.06 tff(8089,plain,
% 8.56/6.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s154, s155)) | (~xuntil6(s154)) | until5(s155))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s154, s155)) | (~xuntil6(s154)) | until5(s155))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(8090,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s154, s155)) | (~xuntil6(s154)) | until5(s155))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(8091,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s154, s155)) | (~xuntil6(s154)) | until5(s155)),
% 8.56/6.06 inference(modus_ponens,[status(thm)],[8090, 8089])).
% 8.56/6.06 tff(8092,plain,
% 8.56/6.06 ((~xuntil6(s154)) | until5(s155)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[8091, 8088, 141])).
% 8.56/6.06 tff(8093,plain,
% 8.56/6.06 (~xuntil6(s154)),
% 8.56/6.06 inference(unit_resolution,[status(thm)],[8092, 8085])).
% 8.56/6.06 tff(8094,plain,
% 8.56/6.06 (((~![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))),
% 8.56/6.06 inference(rewrite,[status(thm)],[])).
% 8.56/6.06 tff(8095,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s154, s155)) | trans(s154, s155))),
% 8.56/6.06 inference(quant_inst,[status(thm)],[])).
% 8.56/6.06 tff(8096,plain,
% 8.56/6.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s154, s155)) | trans(s154, s155)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8095, 8094])).
% 8.56/6.07 tff(8097,plain,
% 8.56/6.07 (trans(s154, s155)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8096, 8088, 51])).
% 8.56/6.07 tff(8098,plain,
% 8.56/6.07 (((~![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))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8099,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s154, s155)) | (~always3(s154)) | always3(s155))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8100,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s154, s155)) | (~always3(s154)) | always3(s155)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8099, 8098])).
% 8.56/6.07 tff(8101,plain,
% 8.56/6.07 ((~always3(s154)) | always3(s155)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8100, 68, 8097])).
% 8.56/6.07 tff(8102,plain,
% 8.56/6.07 (~always3(s154)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8101, 8073])).
% 8.56/6.07 tff(8103,plain,
% 8.56/6.07 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s154) | (~node4(s154)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s154) | (~node4(s154)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8104,plain,
% 8.56/6.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s154) | (~node4(s154)))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8105,plain,
% 8.56/6.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s154) | (~node4(s154))),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8104, 8103])).
% 8.56/6.07 tff(8106,plain,
% 8.56/6.07 (~node4(s154)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8105, 22, 8102])).
% 8.56/6.07 tff(8107,plain,
% 8.56/6.07 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s154) | node4(s154) | (~until5(s154)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s154) | node4(s154) | (~until5(s154)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8108,plain,
% 8.56/6.07 ((node4(s154) | (~until5(s154)) | xuntil6(s154)) <=> (xuntil6(s154) | node4(s154) | (~until5(s154)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8109,plain,
% 8.56/6.07 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s154) | (~until5(s154)) | xuntil6(s154))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s154) | node4(s154) | (~until5(s154))))),
% 8.56/6.07 inference(monotonicity,[status(thm)],[8108])).
% 8.56/6.07 tff(8110,plain,
% 8.56/6.07 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s154) | (~until5(s154)) | xuntil6(s154))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s154) | node4(s154) | (~until5(s154)))),
% 8.56/6.07 inference(transitivity,[status(thm)],[8109, 8107])).
% 8.56/6.07 tff(8111,plain,
% 8.56/6.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s154) | (~until5(s154)) | xuntil6(s154))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8112,plain,
% 8.56/6.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s154) | node4(s154) | (~until5(s154))),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8111, 8110])).
% 8.56/6.07 tff(8113,plain,
% 8.56/6.07 (xuntil6(s154) | (~until5(s154))),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8112, 36, 8106])).
% 8.56/6.07 tff(8114,plain,
% 8.56/6.07 (~until5(s154)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8113, 8093])).
% 8.56/6.07 tff(8115,plain,
% 8.56/6.07 (succ(s153, s154) <=> succ(s153, s154)),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8116,axiom,(succ(s153, s154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound154')).
% 8.56/6.07 tff(8117,plain,
% 8.56/6.07 (succ(s153, s154)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8116, 8115])).
% 8.56/6.07 tff(8118,plain,
% 8.56/6.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s153, s154)) | (~xuntil6(s153)) | until5(s154))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s153, s154)) | (~xuntil6(s153)) | until5(s154))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8119,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s153, s154)) | (~xuntil6(s153)) | until5(s154))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8120,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s153, s154)) | (~xuntil6(s153)) | until5(s154)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8119, 8118])).
% 8.56/6.07 tff(8121,plain,
% 8.56/6.07 ((~xuntil6(s153)) | until5(s154)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8120, 8117, 141])).
% 8.56/6.07 tff(8122,plain,
% 8.56/6.07 (~xuntil6(s153)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8121, 8114])).
% 8.56/6.07 tff(8123,plain,
% 8.56/6.07 (((~![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))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8124,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s153, s154)) | trans(s153, s154))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8125,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s153, s154)) | trans(s153, s154)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8124, 8123])).
% 8.56/6.07 tff(8126,plain,
% 8.56/6.07 (trans(s153, s154)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8125, 8117, 51])).
% 8.56/6.07 tff(8127,plain,
% 8.56/6.07 (((~![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))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8128,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s153, s154)) | (~always3(s153)) | always3(s154))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8129,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s153, s154)) | (~always3(s153)) | always3(s154)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8128, 8127])).
% 8.56/6.07 tff(8130,plain,
% 8.56/6.07 ((~always3(s153)) | always3(s154)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8129, 68, 8126])).
% 8.56/6.07 tff(8131,plain,
% 8.56/6.07 (~always3(s153)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8130, 8102])).
% 8.56/6.07 tff(8132,plain,
% 8.56/6.07 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s153) | (~node4(s153)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s153) | (~node4(s153)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8133,plain,
% 8.56/6.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s153) | (~node4(s153)))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8134,plain,
% 8.56/6.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s153) | (~node4(s153))),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8133, 8132])).
% 8.56/6.07 tff(8135,plain,
% 8.56/6.07 (~node4(s153)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8134, 22, 8131])).
% 8.56/6.07 tff(8136,plain,
% 8.56/6.07 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s153) | node4(s153) | (~until5(s153)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s153) | node4(s153) | (~until5(s153)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8137,plain,
% 8.56/6.07 ((node4(s153) | (~until5(s153)) | xuntil6(s153)) <=> (xuntil6(s153) | node4(s153) | (~until5(s153)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8138,plain,
% 8.56/6.07 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s153) | (~until5(s153)) | xuntil6(s153))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s153) | node4(s153) | (~until5(s153))))),
% 8.56/6.07 inference(monotonicity,[status(thm)],[8137])).
% 8.56/6.07 tff(8139,plain,
% 8.56/6.07 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s153) | (~until5(s153)) | xuntil6(s153))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s153) | node4(s153) | (~until5(s153)))),
% 8.56/6.07 inference(transitivity,[status(thm)],[8138, 8136])).
% 8.56/6.07 tff(8140,plain,
% 8.56/6.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s153) | (~until5(s153)) | xuntil6(s153))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8141,plain,
% 8.56/6.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s153) | node4(s153) | (~until5(s153))),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8140, 8139])).
% 8.56/6.07 tff(8142,plain,
% 8.56/6.07 (xuntil6(s153) | (~until5(s153))),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8141, 36, 8135])).
% 8.56/6.07 tff(8143,plain,
% 8.56/6.07 (~until5(s153)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8142, 8122])).
% 8.56/6.07 tff(8144,plain,
% 8.56/6.07 (succ(s152, s153) <=> succ(s152, s153)),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8145,axiom,(succ(s152, s153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound153')).
% 8.56/6.07 tff(8146,plain,
% 8.56/6.07 (succ(s152, s153)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8145, 8144])).
% 8.56/6.07 tff(8147,plain,
% 8.56/6.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s152, s153)) | (~xuntil6(s152)) | until5(s153))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s152, s153)) | (~xuntil6(s152)) | until5(s153))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8148,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s152, s153)) | (~xuntil6(s152)) | until5(s153))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8149,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s152, s153)) | (~xuntil6(s152)) | until5(s153)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8148, 8147])).
% 8.56/6.07 tff(8150,plain,
% 8.56/6.07 ((~xuntil6(s152)) | until5(s153)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8149, 8146, 141])).
% 8.56/6.07 tff(8151,plain,
% 8.56/6.07 (~xuntil6(s152)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8150, 8143])).
% 8.56/6.07 tff(8152,plain,
% 8.56/6.07 (((~![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))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8153,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s152, s153)) | trans(s152, s153))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8154,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s152, s153)) | trans(s152, s153)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8153, 8152])).
% 8.56/6.07 tff(8155,plain,
% 8.56/6.07 (trans(s152, s153)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8154, 8146, 51])).
% 8.56/6.07 tff(8156,plain,
% 8.56/6.07 (((~![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))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8157,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s152, s153)) | (~always3(s152)) | always3(s153))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8158,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s152, s153)) | (~always3(s152)) | always3(s153)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8157, 8156])).
% 8.56/6.07 tff(8159,plain,
% 8.56/6.07 ((~always3(s152)) | always3(s153)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8158, 68, 8155])).
% 8.56/6.07 tff(8160,plain,
% 8.56/6.07 (~always3(s152)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8159, 8131])).
% 8.56/6.07 tff(8161,plain,
% 8.56/6.07 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s152) | (~node4(s152)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s152) | (~node4(s152)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8162,plain,
% 8.56/6.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s152) | (~node4(s152)))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8163,plain,
% 8.56/6.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s152) | (~node4(s152))),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8162, 8161])).
% 8.56/6.07 tff(8164,plain,
% 8.56/6.07 (~node4(s152)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8163, 22, 8160])).
% 8.56/6.07 tff(8165,plain,
% 8.56/6.07 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s152) | node4(s152) | (~until5(s152)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s152) | node4(s152) | (~until5(s152)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8166,plain,
% 8.56/6.07 ((node4(s152) | (~until5(s152)) | xuntil6(s152)) <=> (xuntil6(s152) | node4(s152) | (~until5(s152)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8167,plain,
% 8.56/6.07 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s152) | (~until5(s152)) | xuntil6(s152))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s152) | node4(s152) | (~until5(s152))))),
% 8.56/6.07 inference(monotonicity,[status(thm)],[8166])).
% 8.56/6.07 tff(8168,plain,
% 8.56/6.07 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s152) | (~until5(s152)) | xuntil6(s152))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s152) | node4(s152) | (~until5(s152)))),
% 8.56/6.07 inference(transitivity,[status(thm)],[8167, 8165])).
% 8.56/6.07 tff(8169,plain,
% 8.56/6.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s152) | (~until5(s152)) | xuntil6(s152))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8170,plain,
% 8.56/6.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s152) | node4(s152) | (~until5(s152))),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8169, 8168])).
% 8.56/6.07 tff(8171,plain,
% 8.56/6.07 (xuntil6(s152) | (~until5(s152))),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8170, 36, 8164])).
% 8.56/6.07 tff(8172,plain,
% 8.56/6.07 (~until5(s152)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8171, 8151])).
% 8.56/6.07 tff(8173,plain,
% 8.56/6.07 (succ(s151, s152) <=> succ(s151, s152)),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8174,axiom,(succ(s151, s152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound152')).
% 8.56/6.07 tff(8175,plain,
% 8.56/6.07 (succ(s151, s152)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8174, 8173])).
% 8.56/6.07 tff(8176,plain,
% 8.56/6.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s151, s152)) | (~xuntil6(s151)) | until5(s152))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s151, s152)) | (~xuntil6(s151)) | until5(s152))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8177,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s151, s152)) | (~xuntil6(s151)) | until5(s152))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8178,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s151, s152)) | (~xuntil6(s151)) | until5(s152)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8177, 8176])).
% 8.56/6.07 tff(8179,plain,
% 8.56/6.07 ((~xuntil6(s151)) | until5(s152)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8178, 8175, 141])).
% 8.56/6.07 tff(8180,plain,
% 8.56/6.07 (~xuntil6(s151)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8179, 8172])).
% 8.56/6.07 tff(8181,plain,
% 8.56/6.07 (((~![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))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8182,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s151, s152)) | trans(s151, s152))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8183,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s151, s152)) | trans(s151, s152)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8182, 8181])).
% 8.56/6.07 tff(8184,plain,
% 8.56/6.07 (trans(s151, s152)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8183, 8175, 51])).
% 8.56/6.07 tff(8185,plain,
% 8.56/6.07 (((~![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))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8186,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s151, s152)) | (~always3(s151)) | always3(s152))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8187,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s151, s152)) | (~always3(s151)) | always3(s152)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8186, 8185])).
% 8.56/6.07 tff(8188,plain,
% 8.56/6.07 ((~always3(s151)) | always3(s152)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8187, 68, 8184])).
% 8.56/6.07 tff(8189,plain,
% 8.56/6.07 (~always3(s151)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8188, 8160])).
% 8.56/6.07 tff(8190,plain,
% 8.56/6.07 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s151) | (~node4(s151)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s151) | (~node4(s151)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8191,plain,
% 8.56/6.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s151) | (~node4(s151)))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8192,plain,
% 8.56/6.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s151) | (~node4(s151))),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8191, 8190])).
% 8.56/6.07 tff(8193,plain,
% 8.56/6.07 (~node4(s151)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8192, 22, 8189])).
% 8.56/6.07 tff(8194,plain,
% 8.56/6.07 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s151) | node4(s151) | (~until5(s151)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s151) | node4(s151) | (~until5(s151)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8195,plain,
% 8.56/6.07 ((node4(s151) | (~until5(s151)) | xuntil6(s151)) <=> (xuntil6(s151) | node4(s151) | (~until5(s151)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8196,plain,
% 8.56/6.07 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s151) | (~until5(s151)) | xuntil6(s151))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s151) | node4(s151) | (~until5(s151))))),
% 8.56/6.07 inference(monotonicity,[status(thm)],[8195])).
% 8.56/6.07 tff(8197,plain,
% 8.56/6.07 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s151) | (~until5(s151)) | xuntil6(s151))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s151) | node4(s151) | (~until5(s151)))),
% 8.56/6.07 inference(transitivity,[status(thm)],[8196, 8194])).
% 8.56/6.07 tff(8198,plain,
% 8.56/6.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s151) | (~until5(s151)) | xuntil6(s151))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8199,plain,
% 8.56/6.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s151) | node4(s151) | (~until5(s151))),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8198, 8197])).
% 8.56/6.07 tff(8200,plain,
% 8.56/6.07 (xuntil6(s151) | (~until5(s151))),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8199, 36, 8193])).
% 8.56/6.07 tff(8201,plain,
% 8.56/6.07 (~until5(s151)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8200, 8180])).
% 8.56/6.07 tff(8202,plain,
% 8.56/6.07 (succ(s150, s151) <=> succ(s150, s151)),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8203,axiom,(succ(s150, s151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound151')).
% 8.56/6.07 tff(8204,plain,
% 8.56/6.07 (succ(s150, s151)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8203, 8202])).
% 8.56/6.07 tff(8205,plain,
% 8.56/6.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s150, s151)) | (~xuntil6(s150)) | until5(s151))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s150, s151)) | (~xuntil6(s150)) | until5(s151))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8206,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s150, s151)) | (~xuntil6(s150)) | until5(s151))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8207,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s150, s151)) | (~xuntil6(s150)) | until5(s151)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8206, 8205])).
% 8.56/6.07 tff(8208,plain,
% 8.56/6.07 ((~xuntil6(s150)) | until5(s151)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8207, 8204, 141])).
% 8.56/6.07 tff(8209,plain,
% 8.56/6.07 (~xuntil6(s150)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8208, 8201])).
% 8.56/6.07 tff(8210,plain,
% 8.56/6.07 (((~![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))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8211,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s150, s151)) | trans(s150, s151))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8212,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s150, s151)) | trans(s150, s151)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8211, 8210])).
% 8.56/6.07 tff(8213,plain,
% 8.56/6.07 (trans(s150, s151)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8212, 8204, 51])).
% 8.56/6.07 tff(8214,plain,
% 8.56/6.07 (((~![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))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8215,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s150, s151)) | (~always3(s150)) | always3(s151))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8216,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s150, s151)) | (~always3(s150)) | always3(s151)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8215, 8214])).
% 8.56/6.07 tff(8217,plain,
% 8.56/6.07 ((~always3(s150)) | always3(s151)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8216, 68, 8213])).
% 8.56/6.07 tff(8218,plain,
% 8.56/6.07 (~always3(s150)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8217, 8189])).
% 8.56/6.07 tff(8219,plain,
% 8.56/6.07 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s150) | (~node4(s150)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s150) | (~node4(s150)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8220,plain,
% 8.56/6.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s150) | (~node4(s150)))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8221,plain,
% 8.56/6.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s150) | (~node4(s150))),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8220, 8219])).
% 8.56/6.07 tff(8222,plain,
% 8.56/6.07 (~node4(s150)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8221, 22, 8218])).
% 8.56/6.07 tff(8223,plain,
% 8.56/6.07 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s150) | node4(s150) | (~until5(s150)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s150) | node4(s150) | (~until5(s150)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8224,plain,
% 8.56/6.07 ((node4(s150) | (~until5(s150)) | xuntil6(s150)) <=> (xuntil6(s150) | node4(s150) | (~until5(s150)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8225,plain,
% 8.56/6.07 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s150) | (~until5(s150)) | xuntil6(s150))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s150) | node4(s150) | (~until5(s150))))),
% 8.56/6.07 inference(monotonicity,[status(thm)],[8224])).
% 8.56/6.07 tff(8226,plain,
% 8.56/6.07 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s150) | (~until5(s150)) | xuntil6(s150))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s150) | node4(s150) | (~until5(s150)))),
% 8.56/6.07 inference(transitivity,[status(thm)],[8225, 8223])).
% 8.56/6.07 tff(8227,plain,
% 8.56/6.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s150) | (~until5(s150)) | xuntil6(s150))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8228,plain,
% 8.56/6.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s150) | node4(s150) | (~until5(s150))),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8227, 8226])).
% 8.56/6.07 tff(8229,plain,
% 8.56/6.07 (xuntil6(s150) | (~until5(s150))),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8228, 36, 8222])).
% 8.56/6.07 tff(8230,plain,
% 8.56/6.07 (~until5(s150)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8229, 8209])).
% 8.56/6.07 tff(8231,plain,
% 8.56/6.07 (succ(s149, s150) <=> succ(s149, s150)),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8232,axiom,(succ(s149, s150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound150')).
% 8.56/6.07 tff(8233,plain,
% 8.56/6.07 (succ(s149, s150)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8232, 8231])).
% 8.56/6.07 tff(8234,plain,
% 8.56/6.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s149, s150)) | (~xuntil6(s149)) | until5(s150))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s149, s150)) | (~xuntil6(s149)) | until5(s150))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8235,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s149, s150)) | (~xuntil6(s149)) | until5(s150))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8236,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s149, s150)) | (~xuntil6(s149)) | until5(s150)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8235, 8234])).
% 8.56/6.07 tff(8237,plain,
% 8.56/6.07 ((~xuntil6(s149)) | until5(s150)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8236, 8233, 141])).
% 8.56/6.07 tff(8238,plain,
% 8.56/6.07 (~xuntil6(s149)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8237, 8230])).
% 8.56/6.07 tff(8239,plain,
% 8.56/6.07 (((~![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))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8240,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s149, s150)) | trans(s149, s150))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8241,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s149, s150)) | trans(s149, s150)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8240, 8239])).
% 8.56/6.07 tff(8242,plain,
% 8.56/6.07 (trans(s149, s150)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8241, 8233, 51])).
% 8.56/6.07 tff(8243,plain,
% 8.56/6.07 (((~![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))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8244,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s149, s150)) | (~always3(s149)) | always3(s150))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8245,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s149, s150)) | (~always3(s149)) | always3(s150)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8244, 8243])).
% 8.56/6.07 tff(8246,plain,
% 8.56/6.07 ((~always3(s149)) | always3(s150)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8245, 68, 8242])).
% 8.56/6.07 tff(8247,plain,
% 8.56/6.07 (~always3(s149)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8246, 8218])).
% 8.56/6.07 tff(8248,plain,
% 8.56/6.07 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s149) | (~node4(s149)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s149) | (~node4(s149)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8249,plain,
% 8.56/6.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s149) | (~node4(s149)))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8250,plain,
% 8.56/6.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s149) | (~node4(s149))),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8249, 8248])).
% 8.56/6.07 tff(8251,plain,
% 8.56/6.07 (~node4(s149)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8250, 22, 8247])).
% 8.56/6.07 tff(8252,plain,
% 8.56/6.07 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s149) | node4(s149) | (~until5(s149)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s149) | node4(s149) | (~until5(s149)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8253,plain,
% 8.56/6.07 ((node4(s149) | (~until5(s149)) | xuntil6(s149)) <=> (xuntil6(s149) | node4(s149) | (~until5(s149)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8254,plain,
% 8.56/6.07 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s149) | (~until5(s149)) | xuntil6(s149))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s149) | node4(s149) | (~until5(s149))))),
% 8.56/6.07 inference(monotonicity,[status(thm)],[8253])).
% 8.56/6.07 tff(8255,plain,
% 8.56/6.07 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s149) | (~until5(s149)) | xuntil6(s149))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s149) | node4(s149) | (~until5(s149)))),
% 8.56/6.07 inference(transitivity,[status(thm)],[8254, 8252])).
% 8.56/6.07 tff(8256,plain,
% 8.56/6.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s149) | (~until5(s149)) | xuntil6(s149))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8257,plain,
% 8.56/6.07 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s149) | node4(s149) | (~until5(s149))),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8256, 8255])).
% 8.56/6.07 tff(8258,plain,
% 8.56/6.07 (xuntil6(s149) | (~until5(s149))),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8257, 36, 8251])).
% 8.56/6.07 tff(8259,plain,
% 8.56/6.07 (~until5(s149)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8258, 8238])).
% 8.56/6.07 tff(8260,plain,
% 8.56/6.07 (succ(s148, s149) <=> succ(s148, s149)),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8261,axiom,(succ(s148, s149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound149')).
% 8.56/6.07 tff(8262,plain,
% 8.56/6.07 (succ(s148, s149)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8261, 8260])).
% 8.56/6.07 tff(8263,plain,
% 8.56/6.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s148, s149)) | (~xuntil6(s148)) | until5(s149))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s148, s149)) | (~xuntil6(s148)) | until5(s149))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8264,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s148, s149)) | (~xuntil6(s148)) | until5(s149))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8265,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s148, s149)) | (~xuntil6(s148)) | until5(s149)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8264, 8263])).
% 8.56/6.07 tff(8266,plain,
% 8.56/6.07 ((~xuntil6(s148)) | until5(s149)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8265, 8262, 141])).
% 8.56/6.07 tff(8267,plain,
% 8.56/6.07 (~xuntil6(s148)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8266, 8259])).
% 8.56/6.07 tff(8268,plain,
% 8.56/6.07 (((~![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))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8269,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s148, s149)) | trans(s148, s149))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8270,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s148, s149)) | trans(s148, s149)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8269, 8268])).
% 8.56/6.07 tff(8271,plain,
% 8.56/6.07 (trans(s148, s149)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8270, 8262, 51])).
% 8.56/6.07 tff(8272,plain,
% 8.56/6.07 (((~![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))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8273,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s148, s149)) | (~always3(s148)) | always3(s149))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8274,plain,
% 8.56/6.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s148, s149)) | (~always3(s148)) | always3(s149)),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8273, 8272])).
% 8.56/6.07 tff(8275,plain,
% 8.56/6.07 ((~always3(s148)) | always3(s149)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8274, 68, 8271])).
% 8.56/6.07 tff(8276,plain,
% 8.56/6.07 (~always3(s148)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8275, 8247])).
% 8.56/6.07 tff(8277,plain,
% 8.56/6.07 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s148) | (~node4(s148)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s148) | (~node4(s148)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8278,plain,
% 8.56/6.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s148) | (~node4(s148)))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(8279,plain,
% 8.56/6.07 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s148) | (~node4(s148))),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[8278, 8277])).
% 8.56/6.07 tff(8280,plain,
% 8.56/6.07 (~node4(s148)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[8279, 22, 8276])).
% 8.56/6.07 tff(8281,plain,
% 8.56/6.07 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s148) | node4(s148) | (~until5(s148)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s148) | node4(s148) | (~until5(s148)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(8282,plain,
% 8.56/6.07 ((node4(s148) | (~until5(s148)) | xuntil6(s148)) <=> (xuntil6(s148) | node4(s148) | (~until5(s148)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8283,plain,
% 8.56/6.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s148) | (~until5(s148)) | xuntil6(s148))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s148) | node4(s148) | (~until5(s148))))),
% 8.56/6.08 inference(monotonicity,[status(thm)],[8282])).
% 8.56/6.08 tff(8284,plain,
% 8.56/6.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s148) | (~until5(s148)) | xuntil6(s148))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s148) | node4(s148) | (~until5(s148)))),
% 8.56/6.08 inference(transitivity,[status(thm)],[8283, 8281])).
% 8.56/6.08 tff(8285,plain,
% 8.56/6.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s148) | (~until5(s148)) | xuntil6(s148))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8286,plain,
% 8.56/6.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s148) | node4(s148) | (~until5(s148))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8285, 8284])).
% 8.56/6.08 tff(8287,plain,
% 8.56/6.08 (xuntil6(s148) | (~until5(s148))),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8286, 36, 8280])).
% 8.56/6.08 tff(8288,plain,
% 8.56/6.08 (~until5(s148)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8287, 8267])).
% 8.56/6.08 tff(8289,plain,
% 8.56/6.08 (succ(s147, s148) <=> succ(s147, s148)),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8290,axiom,(succ(s147, s148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound148')).
% 8.56/6.08 tff(8291,plain,
% 8.56/6.08 (succ(s147, s148)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8290, 8289])).
% 8.56/6.08 tff(8292,plain,
% 8.56/6.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s147, s148)) | (~xuntil6(s147)) | until5(s148))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s147, s148)) | (~xuntil6(s147)) | until5(s148))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8293,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s147, s148)) | (~xuntil6(s147)) | until5(s148))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8294,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s147, s148)) | (~xuntil6(s147)) | until5(s148)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8293, 8292])).
% 8.56/6.08 tff(8295,plain,
% 8.56/6.08 ((~xuntil6(s147)) | until5(s148)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8294, 8291, 141])).
% 8.56/6.08 tff(8296,plain,
% 8.56/6.08 (~xuntil6(s147)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8295, 8288])).
% 8.56/6.08 tff(8297,plain,
% 8.56/6.08 (((~![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))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8298,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s147, s148)) | trans(s147, s148))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8299,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s147, s148)) | trans(s147, s148)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8298, 8297])).
% 8.56/6.08 tff(8300,plain,
% 8.56/6.08 (trans(s147, s148)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8299, 8291, 51])).
% 8.56/6.08 tff(8301,plain,
% 8.56/6.08 (((~![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))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8302,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s147, s148)) | (~always3(s147)) | always3(s148))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8303,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s147, s148)) | (~always3(s147)) | always3(s148)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8302, 8301])).
% 8.56/6.08 tff(8304,plain,
% 8.56/6.08 ((~always3(s147)) | always3(s148)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8303, 68, 8300])).
% 8.56/6.08 tff(8305,plain,
% 8.56/6.08 (~always3(s147)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8304, 8276])).
% 8.56/6.08 tff(8306,plain,
% 8.56/6.08 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s147) | (~node4(s147)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s147) | (~node4(s147)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8307,plain,
% 8.56/6.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s147) | (~node4(s147)))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8308,plain,
% 8.56/6.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s147) | (~node4(s147))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8307, 8306])).
% 8.56/6.08 tff(8309,plain,
% 8.56/6.08 (~node4(s147)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8308, 22, 8305])).
% 8.56/6.08 tff(8310,plain,
% 8.56/6.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s147) | node4(s147) | (~until5(s147)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s147) | node4(s147) | (~until5(s147)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8311,plain,
% 8.56/6.08 ((node4(s147) | (~until5(s147)) | xuntil6(s147)) <=> (xuntil6(s147) | node4(s147) | (~until5(s147)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8312,plain,
% 8.56/6.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s147) | (~until5(s147)) | xuntil6(s147))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s147) | node4(s147) | (~until5(s147))))),
% 8.56/6.08 inference(monotonicity,[status(thm)],[8311])).
% 8.56/6.08 tff(8313,plain,
% 8.56/6.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s147) | (~until5(s147)) | xuntil6(s147))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s147) | node4(s147) | (~until5(s147)))),
% 8.56/6.08 inference(transitivity,[status(thm)],[8312, 8310])).
% 8.56/6.08 tff(8314,plain,
% 8.56/6.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s147) | (~until5(s147)) | xuntil6(s147))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8315,plain,
% 8.56/6.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s147) | node4(s147) | (~until5(s147))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8314, 8313])).
% 8.56/6.08 tff(8316,plain,
% 8.56/6.08 (xuntil6(s147) | (~until5(s147))),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8315, 36, 8309])).
% 8.56/6.08 tff(8317,plain,
% 8.56/6.08 (~until5(s147)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8316, 8296])).
% 8.56/6.08 tff(8318,plain,
% 8.56/6.08 (succ(s146, s147) <=> succ(s146, s147)),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8319,axiom,(succ(s146, s147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound147')).
% 8.56/6.08 tff(8320,plain,
% 8.56/6.08 (succ(s146, s147)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8319, 8318])).
% 8.56/6.08 tff(8321,plain,
% 8.56/6.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s146, s147)) | (~xuntil6(s146)) | until5(s147))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s146, s147)) | (~xuntil6(s146)) | until5(s147))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8322,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s146, s147)) | (~xuntil6(s146)) | until5(s147))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8323,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s146, s147)) | (~xuntil6(s146)) | until5(s147)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8322, 8321])).
% 8.56/6.08 tff(8324,plain,
% 8.56/6.08 ((~xuntil6(s146)) | until5(s147)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8323, 8320, 141])).
% 8.56/6.08 tff(8325,plain,
% 8.56/6.08 (~xuntil6(s146)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8324, 8317])).
% 8.56/6.08 tff(8326,plain,
% 8.56/6.08 (((~![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))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8327,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s146, s147)) | trans(s146, s147))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8328,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s146, s147)) | trans(s146, s147)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8327, 8326])).
% 8.56/6.08 tff(8329,plain,
% 8.56/6.08 (trans(s146, s147)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8328, 8320, 51])).
% 8.56/6.08 tff(8330,plain,
% 8.56/6.08 (((~![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))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8331,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s146, s147)) | (~always3(s146)) | always3(s147))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8332,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s146, s147)) | (~always3(s146)) | always3(s147)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8331, 8330])).
% 8.56/6.08 tff(8333,plain,
% 8.56/6.08 ((~always3(s146)) | always3(s147)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8332, 68, 8329])).
% 8.56/6.08 tff(8334,plain,
% 8.56/6.08 (~always3(s146)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8333, 8305])).
% 8.56/6.08 tff(8335,plain,
% 8.56/6.08 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s146) | (~node4(s146)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s146) | (~node4(s146)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8336,plain,
% 8.56/6.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s146) | (~node4(s146)))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8337,plain,
% 8.56/6.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s146) | (~node4(s146))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8336, 8335])).
% 8.56/6.08 tff(8338,plain,
% 8.56/6.08 (~node4(s146)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8337, 22, 8334])).
% 8.56/6.08 tff(8339,plain,
% 8.56/6.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s146) | node4(s146) | (~until5(s146)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s146) | node4(s146) | (~until5(s146)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8340,plain,
% 8.56/6.08 ((node4(s146) | (~until5(s146)) | xuntil6(s146)) <=> (xuntil6(s146) | node4(s146) | (~until5(s146)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8341,plain,
% 8.56/6.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s146) | (~until5(s146)) | xuntil6(s146))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s146) | node4(s146) | (~until5(s146))))),
% 8.56/6.08 inference(monotonicity,[status(thm)],[8340])).
% 8.56/6.08 tff(8342,plain,
% 8.56/6.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s146) | (~until5(s146)) | xuntil6(s146))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s146) | node4(s146) | (~until5(s146)))),
% 8.56/6.08 inference(transitivity,[status(thm)],[8341, 8339])).
% 8.56/6.08 tff(8343,plain,
% 8.56/6.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s146) | (~until5(s146)) | xuntil6(s146))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8344,plain,
% 8.56/6.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s146) | node4(s146) | (~until5(s146))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8343, 8342])).
% 8.56/6.08 tff(8345,plain,
% 8.56/6.08 (xuntil6(s146) | (~until5(s146))),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8344, 36, 8338])).
% 8.56/6.08 tff(8346,plain,
% 8.56/6.08 (~until5(s146)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8345, 8325])).
% 8.56/6.08 tff(8347,plain,
% 8.56/6.08 (succ(s145, s146) <=> succ(s145, s146)),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8348,axiom,(succ(s145, s146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound146')).
% 8.56/6.08 tff(8349,plain,
% 8.56/6.08 (succ(s145, s146)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8348, 8347])).
% 8.56/6.08 tff(8350,plain,
% 8.56/6.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s145, s146)) | (~xuntil6(s145)) | until5(s146))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s145, s146)) | (~xuntil6(s145)) | until5(s146))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8351,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s145, s146)) | (~xuntil6(s145)) | until5(s146))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8352,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s145, s146)) | (~xuntil6(s145)) | until5(s146)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8351, 8350])).
% 8.56/6.08 tff(8353,plain,
% 8.56/6.08 ((~xuntil6(s145)) | until5(s146)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8352, 8349, 141])).
% 8.56/6.08 tff(8354,plain,
% 8.56/6.08 (~xuntil6(s145)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8353, 8346])).
% 8.56/6.08 tff(8355,plain,
% 8.56/6.08 (((~![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))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8356,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s145, s146)) | trans(s145, s146))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8357,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s145, s146)) | trans(s145, s146)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8356, 8355])).
% 8.56/6.08 tff(8358,plain,
% 8.56/6.08 (trans(s145, s146)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8357, 8349, 51])).
% 8.56/6.08 tff(8359,plain,
% 8.56/6.08 (((~![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))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8360,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s145, s146)) | (~always3(s145)) | always3(s146))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8361,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s145, s146)) | (~always3(s145)) | always3(s146)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8360, 8359])).
% 8.56/6.08 tff(8362,plain,
% 8.56/6.08 ((~always3(s145)) | always3(s146)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8361, 68, 8358])).
% 8.56/6.08 tff(8363,plain,
% 8.56/6.08 (~always3(s145)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8362, 8334])).
% 8.56/6.08 tff(8364,plain,
% 8.56/6.08 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s145) | (~node4(s145)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s145) | (~node4(s145)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8365,plain,
% 8.56/6.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s145) | (~node4(s145)))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8366,plain,
% 8.56/6.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s145) | (~node4(s145))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8365, 8364])).
% 8.56/6.08 tff(8367,plain,
% 8.56/6.08 (~node4(s145)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8366, 22, 8363])).
% 8.56/6.08 tff(8368,plain,
% 8.56/6.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s145) | node4(s145) | (~until5(s145)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s145) | node4(s145) | (~until5(s145)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8369,plain,
% 8.56/6.08 ((node4(s145) | (~until5(s145)) | xuntil6(s145)) <=> (xuntil6(s145) | node4(s145) | (~until5(s145)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8370,plain,
% 8.56/6.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s145) | (~until5(s145)) | xuntil6(s145))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s145) | node4(s145) | (~until5(s145))))),
% 8.56/6.08 inference(monotonicity,[status(thm)],[8369])).
% 8.56/6.08 tff(8371,plain,
% 8.56/6.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s145) | (~until5(s145)) | xuntil6(s145))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s145) | node4(s145) | (~until5(s145)))),
% 8.56/6.08 inference(transitivity,[status(thm)],[8370, 8368])).
% 8.56/6.08 tff(8372,plain,
% 8.56/6.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s145) | (~until5(s145)) | xuntil6(s145))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8373,plain,
% 8.56/6.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s145) | node4(s145) | (~until5(s145))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8372, 8371])).
% 8.56/6.08 tff(8374,plain,
% 8.56/6.08 (xuntil6(s145) | (~until5(s145))),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8373, 36, 8367])).
% 8.56/6.08 tff(8375,plain,
% 8.56/6.08 (~until5(s145)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8374, 8354])).
% 8.56/6.08 tff(8376,plain,
% 8.56/6.08 (succ(s144, s145) <=> succ(s144, s145)),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8377,axiom,(succ(s144, s145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound145')).
% 8.56/6.08 tff(8378,plain,
% 8.56/6.08 (succ(s144, s145)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8377, 8376])).
% 8.56/6.08 tff(8379,plain,
% 8.56/6.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s144, s145)) | (~xuntil6(s144)) | until5(s145))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s144, s145)) | (~xuntil6(s144)) | until5(s145))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8380,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s144, s145)) | (~xuntil6(s144)) | until5(s145))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8381,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s144, s145)) | (~xuntil6(s144)) | until5(s145)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8380, 8379])).
% 8.56/6.08 tff(8382,plain,
% 8.56/6.08 ((~xuntil6(s144)) | until5(s145)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8381, 8378, 141])).
% 8.56/6.08 tff(8383,plain,
% 8.56/6.08 (~xuntil6(s144)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8382, 8375])).
% 8.56/6.08 tff(8384,plain,
% 8.56/6.08 (((~![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))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8385,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s144, s145)) | trans(s144, s145))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8386,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s144, s145)) | trans(s144, s145)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8385, 8384])).
% 8.56/6.08 tff(8387,plain,
% 8.56/6.08 (trans(s144, s145)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8386, 8378, 51])).
% 8.56/6.08 tff(8388,plain,
% 8.56/6.08 (((~![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))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8389,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s144, s145)) | (~always3(s144)) | always3(s145))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8390,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s144, s145)) | (~always3(s144)) | always3(s145)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8389, 8388])).
% 8.56/6.08 tff(8391,plain,
% 8.56/6.08 ((~always3(s144)) | always3(s145)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8390, 68, 8387])).
% 8.56/6.08 tff(8392,plain,
% 8.56/6.08 (~always3(s144)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8391, 8363])).
% 8.56/6.08 tff(8393,plain,
% 8.56/6.08 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s144) | (~node4(s144)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s144) | (~node4(s144)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8394,plain,
% 8.56/6.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s144) | (~node4(s144)))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8395,plain,
% 8.56/6.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s144) | (~node4(s144))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8394, 8393])).
% 8.56/6.08 tff(8396,plain,
% 8.56/6.08 (~node4(s144)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8395, 22, 8392])).
% 8.56/6.08 tff(8397,plain,
% 8.56/6.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s144) | node4(s144) | (~until5(s144)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s144) | node4(s144) | (~until5(s144)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8398,plain,
% 8.56/6.08 ((node4(s144) | (~until5(s144)) | xuntil6(s144)) <=> (xuntil6(s144) | node4(s144) | (~until5(s144)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8399,plain,
% 8.56/6.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s144) | (~until5(s144)) | xuntil6(s144))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s144) | node4(s144) | (~until5(s144))))),
% 8.56/6.08 inference(monotonicity,[status(thm)],[8398])).
% 8.56/6.08 tff(8400,plain,
% 8.56/6.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s144) | (~until5(s144)) | xuntil6(s144))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s144) | node4(s144) | (~until5(s144)))),
% 8.56/6.08 inference(transitivity,[status(thm)],[8399, 8397])).
% 8.56/6.08 tff(8401,plain,
% 8.56/6.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s144) | (~until5(s144)) | xuntil6(s144))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8402,plain,
% 8.56/6.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s144) | node4(s144) | (~until5(s144))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8401, 8400])).
% 8.56/6.08 tff(8403,plain,
% 8.56/6.08 (xuntil6(s144) | (~until5(s144))),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8402, 36, 8396])).
% 8.56/6.08 tff(8404,plain,
% 8.56/6.08 (~until5(s144)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8403, 8383])).
% 8.56/6.08 tff(8405,plain,
% 8.56/6.08 (succ(s143, s144) <=> succ(s143, s144)),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8406,axiom,(succ(s143, s144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound144')).
% 8.56/6.08 tff(8407,plain,
% 8.56/6.08 (succ(s143, s144)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8406, 8405])).
% 8.56/6.08 tff(8408,plain,
% 8.56/6.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s143, s144)) | (~xuntil6(s143)) | until5(s144))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s143, s144)) | (~xuntil6(s143)) | until5(s144))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8409,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s143, s144)) | (~xuntil6(s143)) | until5(s144))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8410,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s143, s144)) | (~xuntil6(s143)) | until5(s144)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8409, 8408])).
% 8.56/6.08 tff(8411,plain,
% 8.56/6.08 ((~xuntil6(s143)) | until5(s144)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8410, 8407, 141])).
% 8.56/6.08 tff(8412,plain,
% 8.56/6.08 (~xuntil6(s143)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8411, 8404])).
% 8.56/6.08 tff(8413,plain,
% 8.56/6.08 (((~![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))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8414,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s143, s144)) | trans(s143, s144))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8415,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s143, s144)) | trans(s143, s144)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8414, 8413])).
% 8.56/6.08 tff(8416,plain,
% 8.56/6.08 (trans(s143, s144)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8415, 8407, 51])).
% 8.56/6.08 tff(8417,plain,
% 8.56/6.08 (((~![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))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8418,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s143, s144)) | (~always3(s143)) | always3(s144))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8419,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s143, s144)) | (~always3(s143)) | always3(s144)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8418, 8417])).
% 8.56/6.08 tff(8420,plain,
% 8.56/6.08 ((~always3(s143)) | always3(s144)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8419, 68, 8416])).
% 8.56/6.08 tff(8421,plain,
% 8.56/6.08 (~always3(s143)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8420, 8392])).
% 8.56/6.08 tff(8422,plain,
% 8.56/6.08 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s143) | (~node4(s143)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s143) | (~node4(s143)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8423,plain,
% 8.56/6.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s143) | (~node4(s143)))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8424,plain,
% 8.56/6.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s143) | (~node4(s143))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8423, 8422])).
% 8.56/6.08 tff(8425,plain,
% 8.56/6.08 (~node4(s143)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8424, 22, 8421])).
% 8.56/6.08 tff(8426,plain,
% 8.56/6.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s143) | node4(s143) | (~until5(s143)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s143) | node4(s143) | (~until5(s143)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8427,plain,
% 8.56/6.08 ((node4(s143) | (~until5(s143)) | xuntil6(s143)) <=> (xuntil6(s143) | node4(s143) | (~until5(s143)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8428,plain,
% 8.56/6.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s143) | (~until5(s143)) | xuntil6(s143))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s143) | node4(s143) | (~until5(s143))))),
% 8.56/6.08 inference(monotonicity,[status(thm)],[8427])).
% 8.56/6.08 tff(8429,plain,
% 8.56/6.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s143) | (~until5(s143)) | xuntil6(s143))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s143) | node4(s143) | (~until5(s143)))),
% 8.56/6.08 inference(transitivity,[status(thm)],[8428, 8426])).
% 8.56/6.08 tff(8430,plain,
% 8.56/6.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s143) | (~until5(s143)) | xuntil6(s143))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8431,plain,
% 8.56/6.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s143) | node4(s143) | (~until5(s143))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8430, 8429])).
% 8.56/6.08 tff(8432,plain,
% 8.56/6.08 (xuntil6(s143) | (~until5(s143))),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8431, 36, 8425])).
% 8.56/6.08 tff(8433,plain,
% 8.56/6.08 (~until5(s143)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8432, 8412])).
% 8.56/6.08 tff(8434,plain,
% 8.56/6.08 (succ(s142, s143) <=> succ(s142, s143)),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8435,axiom,(succ(s142, s143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound143')).
% 8.56/6.08 tff(8436,plain,
% 8.56/6.08 (succ(s142, s143)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8435, 8434])).
% 8.56/6.08 tff(8437,plain,
% 8.56/6.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s142, s143)) | (~xuntil6(s142)) | until5(s143))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s142, s143)) | (~xuntil6(s142)) | until5(s143))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8438,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s142, s143)) | (~xuntil6(s142)) | until5(s143))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8439,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s142, s143)) | (~xuntil6(s142)) | until5(s143)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8438, 8437])).
% 8.56/6.08 tff(8440,plain,
% 8.56/6.08 ((~xuntil6(s142)) | until5(s143)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8439, 8436, 141])).
% 8.56/6.08 tff(8441,plain,
% 8.56/6.08 (~xuntil6(s142)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8440, 8433])).
% 8.56/6.08 tff(8442,plain,
% 8.56/6.08 (((~![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))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8443,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s142, s143)) | trans(s142, s143))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8444,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s142, s143)) | trans(s142, s143)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8443, 8442])).
% 8.56/6.08 tff(8445,plain,
% 8.56/6.08 (trans(s142, s143)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8444, 8436, 51])).
% 8.56/6.08 tff(8446,plain,
% 8.56/6.08 (((~![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))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8447,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s142, s143)) | (~always3(s142)) | always3(s143))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8448,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s142, s143)) | (~always3(s142)) | always3(s143)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8447, 8446])).
% 8.56/6.08 tff(8449,plain,
% 8.56/6.08 ((~always3(s142)) | always3(s143)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8448, 68, 8445])).
% 8.56/6.08 tff(8450,plain,
% 8.56/6.08 (~always3(s142)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8449, 8421])).
% 8.56/6.08 tff(8451,plain,
% 8.56/6.08 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s142) | (~node4(s142)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s142) | (~node4(s142)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8452,plain,
% 8.56/6.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s142) | (~node4(s142)))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8453,plain,
% 8.56/6.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s142) | (~node4(s142))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8452, 8451])).
% 8.56/6.08 tff(8454,plain,
% 8.56/6.08 (~node4(s142)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8453, 22, 8450])).
% 8.56/6.08 tff(8455,plain,
% 8.56/6.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s142) | node4(s142) | (~until5(s142)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s142) | node4(s142) | (~until5(s142)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8456,plain,
% 8.56/6.08 ((node4(s142) | (~until5(s142)) | xuntil6(s142)) <=> (xuntil6(s142) | node4(s142) | (~until5(s142)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8457,plain,
% 8.56/6.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s142) | (~until5(s142)) | xuntil6(s142))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s142) | node4(s142) | (~until5(s142))))),
% 8.56/6.08 inference(monotonicity,[status(thm)],[8456])).
% 8.56/6.08 tff(8458,plain,
% 8.56/6.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s142) | (~until5(s142)) | xuntil6(s142))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s142) | node4(s142) | (~until5(s142)))),
% 8.56/6.08 inference(transitivity,[status(thm)],[8457, 8455])).
% 8.56/6.08 tff(8459,plain,
% 8.56/6.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s142) | (~until5(s142)) | xuntil6(s142))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8460,plain,
% 8.56/6.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s142) | node4(s142) | (~until5(s142))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8459, 8458])).
% 8.56/6.08 tff(8461,plain,
% 8.56/6.08 (xuntil6(s142) | (~until5(s142))),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8460, 36, 8454])).
% 8.56/6.08 tff(8462,plain,
% 8.56/6.08 (~until5(s142)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8461, 8441])).
% 8.56/6.08 tff(8463,plain,
% 8.56/6.08 (succ(s141, s142) <=> succ(s141, s142)),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8464,axiom,(succ(s141, s142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound142')).
% 8.56/6.08 tff(8465,plain,
% 8.56/6.08 (succ(s141, s142)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8464, 8463])).
% 8.56/6.08 tff(8466,plain,
% 8.56/6.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s141, s142)) | (~xuntil6(s141)) | until5(s142))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s141, s142)) | (~xuntil6(s141)) | until5(s142))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8467,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s141, s142)) | (~xuntil6(s141)) | until5(s142))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8468,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s141, s142)) | (~xuntil6(s141)) | until5(s142)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8467, 8466])).
% 8.56/6.08 tff(8469,plain,
% 8.56/6.08 ((~xuntil6(s141)) | until5(s142)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8468, 8465, 141])).
% 8.56/6.08 tff(8470,plain,
% 8.56/6.08 (~xuntil6(s141)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8469, 8462])).
% 8.56/6.08 tff(8471,plain,
% 8.56/6.08 (((~![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))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8472,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s141, s142)) | trans(s141, s142))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8473,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s141, s142)) | trans(s141, s142)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8472, 8471])).
% 8.56/6.08 tff(8474,plain,
% 8.56/6.08 (trans(s141, s142)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8473, 8465, 51])).
% 8.56/6.08 tff(8475,plain,
% 8.56/6.08 (((~![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))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8476,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s141, s142)) | (~always3(s141)) | always3(s142))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8477,plain,
% 8.56/6.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s141, s142)) | (~always3(s141)) | always3(s142)),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8476, 8475])).
% 8.56/6.08 tff(8478,plain,
% 8.56/6.08 ((~always3(s141)) | always3(s142)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8477, 68, 8474])).
% 8.56/6.08 tff(8479,plain,
% 8.56/6.08 (~always3(s141)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8478, 8450])).
% 8.56/6.08 tff(8480,plain,
% 8.56/6.08 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s141) | (~node4(s141)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s141) | (~node4(s141)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8481,plain,
% 8.56/6.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s141) | (~node4(s141)))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8482,plain,
% 8.56/6.08 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s141) | (~node4(s141))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8481, 8480])).
% 8.56/6.08 tff(8483,plain,
% 8.56/6.08 (~node4(s141)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8482, 22, 8479])).
% 8.56/6.08 tff(8484,plain,
% 8.56/6.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s141) | node4(s141) | (~until5(s141)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s141) | node4(s141) | (~until5(s141)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8485,plain,
% 8.56/6.08 ((node4(s141) | (~until5(s141)) | xuntil6(s141)) <=> (xuntil6(s141) | node4(s141) | (~until5(s141)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(8486,plain,
% 8.56/6.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s141) | (~until5(s141)) | xuntil6(s141))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s141) | node4(s141) | (~until5(s141))))),
% 8.56/6.08 inference(monotonicity,[status(thm)],[8485])).
% 8.56/6.08 tff(8487,plain,
% 8.56/6.08 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s141) | (~until5(s141)) | xuntil6(s141))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s141) | node4(s141) | (~until5(s141)))),
% 8.56/6.08 inference(transitivity,[status(thm)],[8486, 8484])).
% 8.56/6.08 tff(8488,plain,
% 8.56/6.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s141) | (~until5(s141)) | xuntil6(s141))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(8489,plain,
% 8.56/6.08 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s141) | node4(s141) | (~until5(s141))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[8488, 8487])).
% 8.56/6.08 tff(8490,plain,
% 8.56/6.08 (xuntil6(s141) | (~until5(s141))),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8489, 36, 8483])).
% 8.56/6.08 tff(8491,plain,
% 8.56/6.08 (~until5(s141)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[8490, 8470])).
% 8.56/6.08 tff(8492,plain,
% 8.56/6.08 (succ(s140, s141) <=> succ(s140, s141)),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8493,axiom,(succ(s140, s141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound141')).
% 8.56/6.09 tff(8494,plain,
% 8.56/6.09 (succ(s140, s141)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8493, 8492])).
% 8.56/6.09 tff(8495,plain,
% 8.56/6.09 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s140, s141)) | (~xuntil6(s140)) | until5(s141))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s140, s141)) | (~xuntil6(s140)) | until5(s141))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8496,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s140, s141)) | (~xuntil6(s140)) | until5(s141))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8497,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s140, s141)) | (~xuntil6(s140)) | until5(s141)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8496, 8495])).
% 8.56/6.09 tff(8498,plain,
% 8.56/6.09 ((~xuntil6(s140)) | until5(s141)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8497, 8494, 141])).
% 8.56/6.09 tff(8499,plain,
% 8.56/6.09 (~xuntil6(s140)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8498, 8491])).
% 8.56/6.09 tff(8500,plain,
% 8.56/6.09 (((~![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))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8501,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s140, s141)) | trans(s140, s141))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8502,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s140, s141)) | trans(s140, s141)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8501, 8500])).
% 8.56/6.09 tff(8503,plain,
% 8.56/6.09 (trans(s140, s141)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8502, 8494, 51])).
% 8.56/6.09 tff(8504,plain,
% 8.56/6.09 (((~![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))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8505,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s140, s141)) | (~always3(s140)) | always3(s141))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8506,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s140, s141)) | (~always3(s140)) | always3(s141)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8505, 8504])).
% 8.56/6.09 tff(8507,plain,
% 8.56/6.09 ((~always3(s140)) | always3(s141)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8506, 68, 8503])).
% 8.56/6.09 tff(8508,plain,
% 8.56/6.09 (~always3(s140)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8507, 8479])).
% 8.56/6.09 tff(8509,plain,
% 8.56/6.09 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s140) | (~node4(s140)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s140) | (~node4(s140)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8510,plain,
% 8.56/6.09 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s140) | (~node4(s140)))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8511,plain,
% 8.56/6.09 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s140) | (~node4(s140))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8510, 8509])).
% 8.56/6.09 tff(8512,plain,
% 8.56/6.09 (~node4(s140)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8511, 22, 8508])).
% 8.56/6.09 tff(8513,plain,
% 8.56/6.09 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s140) | node4(s140) | (~until5(s140)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s140) | node4(s140) | (~until5(s140)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8514,plain,
% 8.56/6.09 ((node4(s140) | (~until5(s140)) | xuntil6(s140)) <=> (xuntil6(s140) | node4(s140) | (~until5(s140)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8515,plain,
% 8.56/6.09 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s140) | (~until5(s140)) | xuntil6(s140))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s140) | node4(s140) | (~until5(s140))))),
% 8.56/6.09 inference(monotonicity,[status(thm)],[8514])).
% 8.56/6.09 tff(8516,plain,
% 8.56/6.09 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s140) | (~until5(s140)) | xuntil6(s140))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s140) | node4(s140) | (~until5(s140)))),
% 8.56/6.09 inference(transitivity,[status(thm)],[8515, 8513])).
% 8.56/6.09 tff(8517,plain,
% 8.56/6.09 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s140) | (~until5(s140)) | xuntil6(s140))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8518,plain,
% 8.56/6.09 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s140) | node4(s140) | (~until5(s140))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8517, 8516])).
% 8.56/6.09 tff(8519,plain,
% 8.56/6.09 (xuntil6(s140) | (~until5(s140))),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8518, 36, 8512])).
% 8.56/6.09 tff(8520,plain,
% 8.56/6.09 (~until5(s140)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8519, 8499])).
% 8.56/6.09 tff(8521,plain,
% 8.56/6.09 (succ(s139, s140) <=> succ(s139, s140)),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8522,axiom,(succ(s139, s140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound140')).
% 8.56/6.09 tff(8523,plain,
% 8.56/6.09 (succ(s139, s140)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8522, 8521])).
% 8.56/6.09 tff(8524,plain,
% 8.56/6.09 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s139, s140)) | (~xuntil6(s139)) | until5(s140))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s139, s140)) | (~xuntil6(s139)) | until5(s140))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8525,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s139, s140)) | (~xuntil6(s139)) | until5(s140))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8526,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s139, s140)) | (~xuntil6(s139)) | until5(s140)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8525, 8524])).
% 8.56/6.09 tff(8527,plain,
% 8.56/6.09 ((~xuntil6(s139)) | until5(s140)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8526, 8523, 141])).
% 8.56/6.09 tff(8528,plain,
% 8.56/6.09 (~xuntil6(s139)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8527, 8520])).
% 8.56/6.09 tff(8529,plain,
% 8.56/6.09 (((~![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))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8530,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s139, s140)) | trans(s139, s140))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8531,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s139, s140)) | trans(s139, s140)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8530, 8529])).
% 8.56/6.09 tff(8532,plain,
% 8.56/6.09 (trans(s139, s140)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8531, 8523, 51])).
% 8.56/6.09 tff(8533,plain,
% 8.56/6.09 (((~![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))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8534,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s139, s140)) | (~always3(s139)) | always3(s140))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8535,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s139, s140)) | (~always3(s139)) | always3(s140)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8534, 8533])).
% 8.56/6.09 tff(8536,plain,
% 8.56/6.09 ((~always3(s139)) | always3(s140)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8535, 68, 8532])).
% 8.56/6.09 tff(8537,plain,
% 8.56/6.09 (~always3(s139)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8536, 8508])).
% 8.56/6.09 tff(8538,plain,
% 8.56/6.09 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s139) | (~node4(s139)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s139) | (~node4(s139)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8539,plain,
% 8.56/6.09 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s139) | (~node4(s139)))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8540,plain,
% 8.56/6.09 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s139) | (~node4(s139))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8539, 8538])).
% 8.56/6.09 tff(8541,plain,
% 8.56/6.09 (~node4(s139)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8540, 22, 8537])).
% 8.56/6.09 tff(8542,plain,
% 8.56/6.09 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s139) | node4(s139) | (~until5(s139)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s139) | node4(s139) | (~until5(s139)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8543,plain,
% 8.56/6.09 ((node4(s139) | (~until5(s139)) | xuntil6(s139)) <=> (xuntil6(s139) | node4(s139) | (~until5(s139)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8544,plain,
% 8.56/6.09 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s139) | (~until5(s139)) | xuntil6(s139))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s139) | node4(s139) | (~until5(s139))))),
% 8.56/6.09 inference(monotonicity,[status(thm)],[8543])).
% 8.56/6.09 tff(8545,plain,
% 8.56/6.09 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s139) | (~until5(s139)) | xuntil6(s139))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s139) | node4(s139) | (~until5(s139)))),
% 8.56/6.09 inference(transitivity,[status(thm)],[8544, 8542])).
% 8.56/6.09 tff(8546,plain,
% 8.56/6.09 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s139) | (~until5(s139)) | xuntil6(s139))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8547,plain,
% 8.56/6.09 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s139) | node4(s139) | (~until5(s139))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8546, 8545])).
% 8.56/6.09 tff(8548,plain,
% 8.56/6.09 (xuntil6(s139) | (~until5(s139))),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8547, 36, 8541])).
% 8.56/6.09 tff(8549,plain,
% 8.56/6.09 (~until5(s139)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8548, 8528])).
% 8.56/6.09 tff(8550,plain,
% 8.56/6.09 (succ(s138, s139) <=> succ(s138, s139)),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8551,axiom,(succ(s138, s139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound139')).
% 8.56/6.09 tff(8552,plain,
% 8.56/6.09 (succ(s138, s139)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8551, 8550])).
% 8.56/6.09 tff(8553,plain,
% 8.56/6.09 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s138, s139)) | (~xuntil6(s138)) | until5(s139))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s138, s139)) | (~xuntil6(s138)) | until5(s139))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8554,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s138, s139)) | (~xuntil6(s138)) | until5(s139))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8555,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s138, s139)) | (~xuntil6(s138)) | until5(s139)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8554, 8553])).
% 8.56/6.09 tff(8556,plain,
% 8.56/6.09 ((~xuntil6(s138)) | until5(s139)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8555, 8552, 141])).
% 8.56/6.09 tff(8557,plain,
% 8.56/6.09 (~xuntil6(s138)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8556, 8549])).
% 8.56/6.09 tff(8558,plain,
% 8.56/6.09 (((~![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))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8559,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s138, s139)) | trans(s138, s139))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8560,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s138, s139)) | trans(s138, s139)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8559, 8558])).
% 8.56/6.09 tff(8561,plain,
% 8.56/6.09 (trans(s138, s139)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8560, 8552, 51])).
% 8.56/6.09 tff(8562,plain,
% 8.56/6.09 (((~![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))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8563,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s138, s139)) | (~always3(s138)) | always3(s139))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8564,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s138, s139)) | (~always3(s138)) | always3(s139)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8563, 8562])).
% 8.56/6.09 tff(8565,plain,
% 8.56/6.09 ((~always3(s138)) | always3(s139)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8564, 68, 8561])).
% 8.56/6.09 tff(8566,plain,
% 8.56/6.09 (~always3(s138)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8565, 8537])).
% 8.56/6.09 tff(8567,plain,
% 8.56/6.09 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s138) | (~node4(s138)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s138) | (~node4(s138)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8568,plain,
% 8.56/6.09 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s138) | (~node4(s138)))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8569,plain,
% 8.56/6.09 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s138) | (~node4(s138))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8568, 8567])).
% 8.56/6.09 tff(8570,plain,
% 8.56/6.09 (~node4(s138)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8569, 22, 8566])).
% 8.56/6.09 tff(8571,plain,
% 8.56/6.09 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s138) | node4(s138) | (~until5(s138)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s138) | node4(s138) | (~until5(s138)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8572,plain,
% 8.56/6.09 ((node4(s138) | (~until5(s138)) | xuntil6(s138)) <=> (xuntil6(s138) | node4(s138) | (~until5(s138)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8573,plain,
% 8.56/6.09 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s138) | (~until5(s138)) | xuntil6(s138))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s138) | node4(s138) | (~until5(s138))))),
% 8.56/6.09 inference(monotonicity,[status(thm)],[8572])).
% 8.56/6.09 tff(8574,plain,
% 8.56/6.09 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s138) | (~until5(s138)) | xuntil6(s138))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s138) | node4(s138) | (~until5(s138)))),
% 8.56/6.09 inference(transitivity,[status(thm)],[8573, 8571])).
% 8.56/6.09 tff(8575,plain,
% 8.56/6.09 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s138) | (~until5(s138)) | xuntil6(s138))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8576,plain,
% 8.56/6.09 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s138) | node4(s138) | (~until5(s138))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8575, 8574])).
% 8.56/6.09 tff(8577,plain,
% 8.56/6.09 (xuntil6(s138) | (~until5(s138))),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8576, 36, 8570])).
% 8.56/6.09 tff(8578,plain,
% 8.56/6.09 (~until5(s138)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8577, 8557])).
% 8.56/6.09 tff(8579,plain,
% 8.56/6.09 (succ(s137, s138) <=> succ(s137, s138)),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8580,axiom,(succ(s137, s138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound138')).
% 8.56/6.09 tff(8581,plain,
% 8.56/6.09 (succ(s137, s138)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8580, 8579])).
% 8.56/6.09 tff(8582,plain,
% 8.56/6.09 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s137, s138)) | (~xuntil6(s137)) | until5(s138))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s137, s138)) | (~xuntil6(s137)) | until5(s138))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8583,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s137, s138)) | (~xuntil6(s137)) | until5(s138))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8584,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s137, s138)) | (~xuntil6(s137)) | until5(s138)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8583, 8582])).
% 8.56/6.09 tff(8585,plain,
% 8.56/6.09 ((~xuntil6(s137)) | until5(s138)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8584, 8581, 141])).
% 8.56/6.09 tff(8586,plain,
% 8.56/6.09 (~xuntil6(s137)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8585, 8578])).
% 8.56/6.09 tff(8587,plain,
% 8.56/6.09 (((~![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))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8588,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s137, s138)) | trans(s137, s138))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8589,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s137, s138)) | trans(s137, s138)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8588, 8587])).
% 8.56/6.09 tff(8590,plain,
% 8.56/6.09 (trans(s137, s138)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8589, 8581, 51])).
% 8.56/6.09 tff(8591,plain,
% 8.56/6.09 (((~![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))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8592,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s137, s138)) | (~always3(s137)) | always3(s138))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8593,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s137, s138)) | (~always3(s137)) | always3(s138)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8592, 8591])).
% 8.56/6.09 tff(8594,plain,
% 8.56/6.09 ((~always3(s137)) | always3(s138)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8593, 68, 8590])).
% 8.56/6.09 tff(8595,plain,
% 8.56/6.09 (~always3(s137)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8594, 8566])).
% 8.56/6.09 tff(8596,plain,
% 8.56/6.09 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s137) | (~node4(s137)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s137) | (~node4(s137)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8597,plain,
% 8.56/6.09 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s137) | (~node4(s137)))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8598,plain,
% 8.56/6.09 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s137) | (~node4(s137))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8597, 8596])).
% 8.56/6.09 tff(8599,plain,
% 8.56/6.09 (~node4(s137)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8598, 22, 8595])).
% 8.56/6.09 tff(8600,plain,
% 8.56/6.09 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s137) | node4(s137) | (~until5(s137)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s137) | node4(s137) | (~until5(s137)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8601,plain,
% 8.56/6.09 ((node4(s137) | (~until5(s137)) | xuntil6(s137)) <=> (xuntil6(s137) | node4(s137) | (~until5(s137)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8602,plain,
% 8.56/6.09 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s137) | (~until5(s137)) | xuntil6(s137))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s137) | node4(s137) | (~until5(s137))))),
% 8.56/6.09 inference(monotonicity,[status(thm)],[8601])).
% 8.56/6.09 tff(8603,plain,
% 8.56/6.09 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s137) | (~until5(s137)) | xuntil6(s137))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s137) | node4(s137) | (~until5(s137)))),
% 8.56/6.09 inference(transitivity,[status(thm)],[8602, 8600])).
% 8.56/6.09 tff(8604,plain,
% 8.56/6.09 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s137) | (~until5(s137)) | xuntil6(s137))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8605,plain,
% 8.56/6.09 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s137) | node4(s137) | (~until5(s137))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8604, 8603])).
% 8.56/6.09 tff(8606,plain,
% 8.56/6.09 (xuntil6(s137) | (~until5(s137))),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8605, 36, 8599])).
% 8.56/6.09 tff(8607,plain,
% 8.56/6.09 (~until5(s137)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8606, 8586])).
% 8.56/6.09 tff(8608,plain,
% 8.56/6.09 (succ(s136, s137) <=> succ(s136, s137)),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8609,axiom,(succ(s136, s137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound137')).
% 8.56/6.09 tff(8610,plain,
% 8.56/6.09 (succ(s136, s137)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8609, 8608])).
% 8.56/6.09 tff(8611,plain,
% 8.56/6.09 (((~![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))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8612,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s136, s137)) | trans(s136, s137))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8613,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s136, s137)) | trans(s136, s137)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8612, 8611])).
% 8.56/6.09 tff(8614,plain,
% 8.56/6.09 (trans(s136, s137)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8613, 8610, 51])).
% 8.56/6.09 tff(8615,plain,
% 8.56/6.09 (((~![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))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8616,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s136, s137)) | (~always3(s136)) | always3(s137))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8617,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s136, s137)) | (~always3(s136)) | always3(s137)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8616, 8615])).
% 8.56/6.09 tff(8618,plain,
% 8.56/6.09 ((~always3(s136)) | always3(s137)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8617, 68, 8614])).
% 8.56/6.09 tff(8619,plain,
% 8.56/6.09 (~always3(s136)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8618, 8595])).
% 8.56/6.09 tff(8620,plain,
% 8.56/6.09 (succ(s135, s136) <=> succ(s135, s136)),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8621,axiom,(succ(s135, s136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound136')).
% 8.56/6.09 tff(8622,plain,
% 8.56/6.09 (succ(s135, s136)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8621, 8620])).
% 8.56/6.09 tff(8623,plain,
% 8.56/6.09 (((~![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))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8624,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s135, s136)) | trans(s135, s136))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8625,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s135, s136)) | trans(s135, s136)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8624, 8623])).
% 8.56/6.09 tff(8626,plain,
% 8.56/6.09 (trans(s135, s136)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8625, 8622, 51])).
% 8.56/6.09 tff(8627,plain,
% 8.56/6.09 (((~![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))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8628,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s135, s136)) | (~always3(s135)) | always3(s136))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8629,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s135, s136)) | (~always3(s135)) | always3(s136)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8628, 8627])).
% 8.56/6.09 tff(8630,plain,
% 8.56/6.09 ((~always3(s135)) | always3(s136)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8629, 68, 8626])).
% 8.56/6.09 tff(8631,plain,
% 8.56/6.09 (~always3(s135)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8630, 8619])).
% 8.56/6.09 tff(8632,plain,
% 8.56/6.09 (succ(s134, s135) <=> succ(s134, s135)),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8633,axiom,(succ(s134, s135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound135')).
% 8.56/6.09 tff(8634,plain,
% 8.56/6.09 (succ(s134, s135)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8633, 8632])).
% 8.56/6.09 tff(8635,plain,
% 8.56/6.09 (((~![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))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8636,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s134, s135)) | trans(s134, s135))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8637,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s134, s135)) | trans(s134, s135)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8636, 8635])).
% 8.56/6.09 tff(8638,plain,
% 8.56/6.09 (trans(s134, s135)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8637, 8634, 51])).
% 8.56/6.09 tff(8639,plain,
% 8.56/6.09 (((~![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))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8640,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s134, s135)) | (~always3(s134)) | always3(s135))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8641,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s134, s135)) | (~always3(s134)) | always3(s135)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8640, 8639])).
% 8.56/6.09 tff(8642,plain,
% 8.56/6.09 ((~always3(s134)) | always3(s135)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8641, 68, 8638])).
% 8.56/6.09 tff(8643,plain,
% 8.56/6.09 (~always3(s134)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8642, 8631])).
% 8.56/6.09 tff(8644,plain,
% 8.56/6.09 (succ(s133, s134) <=> succ(s133, s134)),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8645,axiom,(succ(s133, s134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound134')).
% 8.56/6.09 tff(8646,plain,
% 8.56/6.09 (succ(s133, s134)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8645, 8644])).
% 8.56/6.09 tff(8647,plain,
% 8.56/6.09 (((~![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))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8648,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s133, s134)) | trans(s133, s134))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8649,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s133, s134)) | trans(s133, s134)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8648, 8647])).
% 8.56/6.09 tff(8650,plain,
% 8.56/6.09 (trans(s133, s134)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8649, 8646, 51])).
% 8.56/6.09 tff(8651,plain,
% 8.56/6.09 (((~![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))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8652,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s133, s134)) | (~always3(s133)) | always3(s134))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8653,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s133, s134)) | (~always3(s133)) | always3(s134)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8652, 8651])).
% 8.56/6.09 tff(8654,plain,
% 8.56/6.09 ((~always3(s133)) | always3(s134)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8653, 68, 8650])).
% 8.56/6.09 tff(8655,plain,
% 8.56/6.09 (~always3(s133)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8654, 8643])).
% 8.56/6.09 tff(8656,plain,
% 8.56/6.09 (succ(s132, s133) <=> succ(s132, s133)),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8657,axiom,(succ(s132, s133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound133')).
% 8.56/6.09 tff(8658,plain,
% 8.56/6.09 (succ(s132, s133)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8657, 8656])).
% 8.56/6.09 tff(8659,plain,
% 8.56/6.09 (((~![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))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8660,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s132, s133)) | trans(s132, s133))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8661,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s132, s133)) | trans(s132, s133)),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[8660, 8659])).
% 8.56/6.09 tff(8662,plain,
% 8.56/6.09 (trans(s132, s133)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[8661, 8658, 51])).
% 8.56/6.09 tff(8663,plain,
% 8.56/6.09 (((~![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))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(8664,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s132, s133)) | (~always3(s132)) | always3(s133))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(8665,plain,
% 8.56/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s132, s133)) | (~always3(s132)) | always3(s133)),
% 8.66/6.09 inference(modus_ponens,[status(thm)],[8664, 8663])).
% 8.66/6.09 tff(8666,plain,
% 8.66/6.09 ((~always3(s132)) | always3(s133)),
% 8.66/6.09 inference(unit_resolution,[status(thm)],[8665, 68, 8662])).
% 8.66/6.09 tff(8667,plain,
% 8.66/6.09 (~always3(s132)),
% 8.66/6.09 inference(unit_resolution,[status(thm)],[8666, 8655])).
% 8.66/6.09 tff(8668,plain,
% 8.66/6.09 (succ(s131, s132) <=> succ(s131, s132)),
% 8.66/6.09 inference(rewrite,[status(thm)],[])).
% 8.66/6.09 tff(8669,axiom,(succ(s131, s132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound132')).
% 8.66/6.09 tff(8670,plain,
% 8.66/6.09 (succ(s131, s132)),
% 8.66/6.09 inference(modus_ponens,[status(thm)],[8669, 8668])).
% 8.66/6.09 tff(8671,plain,
% 8.66/6.09 (((~![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))),
% 8.66/6.09 inference(rewrite,[status(thm)],[])).
% 8.66/6.09 tff(8672,plain,
% 8.66/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s131, s132)) | trans(s131, s132))),
% 8.66/6.09 inference(quant_inst,[status(thm)],[])).
% 8.66/6.09 tff(8673,plain,
% 8.66/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s131, s132)) | trans(s131, s132)),
% 8.66/6.09 inference(modus_ponens,[status(thm)],[8672, 8671])).
% 8.66/6.09 tff(8674,plain,
% 8.66/6.09 (trans(s131, s132)),
% 8.66/6.09 inference(unit_resolution,[status(thm)],[8673, 8670, 51])).
% 8.66/6.09 tff(8675,plain,
% 8.66/6.09 (((~![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))),
% 8.66/6.09 inference(rewrite,[status(thm)],[])).
% 8.66/6.09 tff(8676,plain,
% 8.66/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s131, s132)) | (~always3(s131)) | always3(s132))),
% 8.66/6.09 inference(quant_inst,[status(thm)],[])).
% 8.66/6.09 tff(8677,plain,
% 8.66/6.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s131, s132)) | (~always3(s131)) | always3(s132)),
% 8.66/6.09 inference(modus_ponens,[status(thm)],[8676, 8675])).
% 8.66/6.09 tff(8678,plain,
% 8.66/6.09 ((~always3(s131)) | always3(s132)),
% 8.66/6.09 inference(unit_resolution,[status(thm)],[8677, 68, 8674])).
% 8.66/6.09 tff(8679,plain,
% 8.66/6.09 (~always3(s131)),
% 8.66/6.09 inference(unit_resolution,[status(thm)],[8678, 8667])).
% 8.66/6.09 tff(8680,plain,
% 8.66/6.09 (succ(s130, s131) <=> succ(s130, s131)),
% 8.66/6.09 inference(rewrite,[status(thm)],[])).
% 8.66/6.09 tff(8681,axiom,(succ(s130, s131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound131')).
% 8.66/6.09 tff(8682,plain,
% 8.66/6.09 (succ(s130, s131)),
% 8.66/6.09 inference(modus_ponens,[status(thm)],[8681, 8680])).
% 8.66/6.09 tff(8683,plain,
% 8.66/6.09 (((~![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))),
% 8.66/6.09 inference(rewrite,[status(thm)],[])).
% 8.66/6.09 tff(8684,plain,
% 8.66/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s130, s131)) | trans(s130, s131))),
% 8.66/6.09 inference(quant_inst,[status(thm)],[])).
% 8.66/6.09 tff(8685,plain,
% 8.66/6.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s130, s131)) | trans(s130, s131)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8684, 8683])).
% 8.66/6.10 tff(8686,plain,
% 8.66/6.10 (trans(s130, s131)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8685, 8682, 51])).
% 8.66/6.10 tff(8687,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8688,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s130, s131)) | (~always3(s130)) | always3(s131))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8689,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s130, s131)) | (~always3(s130)) | always3(s131)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8688, 8687])).
% 8.66/6.10 tff(8690,plain,
% 8.66/6.10 ((~always3(s130)) | always3(s131)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8689, 68, 8686])).
% 8.66/6.10 tff(8691,plain,
% 8.66/6.10 (~always3(s130)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8690, 8679])).
% 8.66/6.10 tff(8692,plain,
% 8.66/6.10 (succ(s129, s130) <=> succ(s129, s130)),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8693,axiom,(succ(s129, s130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound130')).
% 8.66/6.10 tff(8694,plain,
% 8.66/6.10 (succ(s129, s130)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8693, 8692])).
% 8.66/6.10 tff(8695,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8696,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s129, s130)) | trans(s129, s130))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8697,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s129, s130)) | trans(s129, s130)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8696, 8695])).
% 8.66/6.10 tff(8698,plain,
% 8.66/6.10 (trans(s129, s130)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8697, 8694, 51])).
% 8.66/6.10 tff(8699,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8700,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s129, s130)) | (~always3(s129)) | always3(s130))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8701,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s129, s130)) | (~always3(s129)) | always3(s130)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8700, 8699])).
% 8.66/6.10 tff(8702,plain,
% 8.66/6.10 ((~always3(s129)) | always3(s130)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8701, 68, 8698])).
% 8.66/6.10 tff(8703,plain,
% 8.66/6.10 (~always3(s129)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8702, 8691])).
% 8.66/6.10 tff(8704,plain,
% 8.66/6.10 (succ(s128, s129) <=> succ(s128, s129)),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8705,axiom,(succ(s128, s129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound129')).
% 8.66/6.10 tff(8706,plain,
% 8.66/6.10 (succ(s128, s129)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8705, 8704])).
% 8.66/6.10 tff(8707,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8708,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s128, s129)) | trans(s128, s129))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8709,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s128, s129)) | trans(s128, s129)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8708, 8707])).
% 8.66/6.10 tff(8710,plain,
% 8.66/6.10 (trans(s128, s129)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8709, 8706, 51])).
% 8.66/6.10 tff(8711,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8712,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s128, s129)) | (~always3(s128)) | always3(s129))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8713,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s128, s129)) | (~always3(s128)) | always3(s129)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8712, 8711])).
% 8.66/6.10 tff(8714,plain,
% 8.66/6.10 ((~always3(s128)) | always3(s129)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8713, 68, 8710])).
% 8.66/6.10 tff(8715,plain,
% 8.66/6.10 (~always3(s128)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8714, 8703])).
% 8.66/6.10 tff(8716,plain,
% 8.66/6.10 (succ(s127, s128) <=> succ(s127, s128)),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8717,axiom,(succ(s127, s128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound128')).
% 8.66/6.10 tff(8718,plain,
% 8.66/6.10 (succ(s127, s128)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8717, 8716])).
% 8.66/6.10 tff(8719,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8720,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s127, s128)) | trans(s127, s128))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8721,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s127, s128)) | trans(s127, s128)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8720, 8719])).
% 8.66/6.10 tff(8722,plain,
% 8.66/6.10 (trans(s127, s128)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8721, 8718, 51])).
% 8.66/6.10 tff(8723,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8724,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s127, s128)) | (~always3(s127)) | always3(s128))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8725,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s127, s128)) | (~always3(s127)) | always3(s128)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8724, 8723])).
% 8.66/6.10 tff(8726,plain,
% 8.66/6.10 ((~always3(s127)) | always3(s128)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8725, 68, 8722])).
% 8.66/6.10 tff(8727,plain,
% 8.66/6.10 (~always3(s127)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8726, 8715])).
% 8.66/6.10 tff(8728,plain,
% 8.66/6.10 (succ(s126, s127) <=> succ(s126, s127)),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8729,axiom,(succ(s126, s127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound127')).
% 8.66/6.10 tff(8730,plain,
% 8.66/6.10 (succ(s126, s127)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8729, 8728])).
% 8.66/6.10 tff(8731,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8732,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s126, s127)) | trans(s126, s127))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8733,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s126, s127)) | trans(s126, s127)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8732, 8731])).
% 8.66/6.10 tff(8734,plain,
% 8.66/6.10 (trans(s126, s127)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8733, 8730, 51])).
% 8.66/6.10 tff(8735,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8736,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s126, s127)) | (~always3(s126)) | always3(s127))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8737,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s126, s127)) | (~always3(s126)) | always3(s127)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8736, 8735])).
% 8.66/6.10 tff(8738,plain,
% 8.66/6.10 ((~always3(s126)) | always3(s127)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8737, 68, 8734])).
% 8.66/6.10 tff(8739,plain,
% 8.66/6.10 (~always3(s126)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8738, 8727])).
% 8.66/6.10 tff(8740,plain,
% 8.66/6.10 (succ(s125, s126) <=> succ(s125, s126)),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8741,axiom,(succ(s125, s126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound126')).
% 8.66/6.10 tff(8742,plain,
% 8.66/6.10 (succ(s125, s126)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8741, 8740])).
% 8.66/6.10 tff(8743,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8744,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s125, s126)) | trans(s125, s126))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8745,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s125, s126)) | trans(s125, s126)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8744, 8743])).
% 8.66/6.10 tff(8746,plain,
% 8.66/6.10 (trans(s125, s126)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8745, 8742, 51])).
% 8.66/6.10 tff(8747,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8748,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s125, s126)) | (~always3(s125)) | always3(s126))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8749,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s125, s126)) | (~always3(s125)) | always3(s126)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8748, 8747])).
% 8.66/6.10 tff(8750,plain,
% 8.66/6.10 ((~always3(s125)) | always3(s126)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8749, 68, 8746])).
% 8.66/6.10 tff(8751,plain,
% 8.66/6.10 (~always3(s125)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8750, 8739])).
% 8.66/6.10 tff(8752,plain,
% 8.66/6.10 (succ(s124, s125) <=> succ(s124, s125)),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8753,axiom,(succ(s124, s125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound125')).
% 8.66/6.10 tff(8754,plain,
% 8.66/6.10 (succ(s124, s125)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8753, 8752])).
% 8.66/6.10 tff(8755,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8756,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s124, s125)) | trans(s124, s125))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8757,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s124, s125)) | trans(s124, s125)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8756, 8755])).
% 8.66/6.10 tff(8758,plain,
% 8.66/6.10 (trans(s124, s125)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8757, 8754, 51])).
% 8.66/6.10 tff(8759,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8760,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s124, s125)) | (~always3(s124)) | always3(s125))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8761,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s124, s125)) | (~always3(s124)) | always3(s125)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8760, 8759])).
% 8.66/6.10 tff(8762,plain,
% 8.66/6.10 ((~always3(s124)) | always3(s125)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8761, 68, 8758])).
% 8.66/6.10 tff(8763,plain,
% 8.66/6.10 (~always3(s124)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8762, 8751])).
% 8.66/6.10 tff(8764,plain,
% 8.66/6.10 (succ(s123, s124) <=> succ(s123, s124)),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8765,axiom,(succ(s123, s124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound124')).
% 8.66/6.10 tff(8766,plain,
% 8.66/6.10 (succ(s123, s124)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8765, 8764])).
% 8.66/6.10 tff(8767,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8768,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s123, s124)) | trans(s123, s124))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8769,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s123, s124)) | trans(s123, s124)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8768, 8767])).
% 8.66/6.10 tff(8770,plain,
% 8.66/6.10 (trans(s123, s124)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8769, 8766, 51])).
% 8.66/6.10 tff(8771,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8772,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s123, s124)) | (~always3(s123)) | always3(s124))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8773,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s123, s124)) | (~always3(s123)) | always3(s124)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8772, 8771])).
% 8.66/6.10 tff(8774,plain,
% 8.66/6.10 ((~always3(s123)) | always3(s124)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8773, 68, 8770])).
% 8.66/6.10 tff(8775,plain,
% 8.66/6.10 (~always3(s123)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8774, 8763])).
% 8.66/6.10 tff(8776,plain,
% 8.66/6.10 (succ(s122, s123) <=> succ(s122, s123)),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8777,axiom,(succ(s122, s123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound123')).
% 8.66/6.10 tff(8778,plain,
% 8.66/6.10 (succ(s122, s123)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8777, 8776])).
% 8.66/6.10 tff(8779,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8780,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s122, s123)) | trans(s122, s123))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8781,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s122, s123)) | trans(s122, s123)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8780, 8779])).
% 8.66/6.10 tff(8782,plain,
% 8.66/6.10 (trans(s122, s123)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8781, 8778, 51])).
% 8.66/6.10 tff(8783,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8784,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s122, s123)) | (~always3(s122)) | always3(s123))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8785,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s122, s123)) | (~always3(s122)) | always3(s123)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8784, 8783])).
% 8.66/6.10 tff(8786,plain,
% 8.66/6.10 ((~always3(s122)) | always3(s123)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8785, 68, 8782])).
% 8.66/6.10 tff(8787,plain,
% 8.66/6.10 (~always3(s122)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8786, 8775])).
% 8.66/6.10 tff(8788,plain,
% 8.66/6.10 (succ(s121, s122) <=> succ(s121, s122)),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8789,axiom,(succ(s121, s122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound122')).
% 8.66/6.10 tff(8790,plain,
% 8.66/6.10 (succ(s121, s122)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8789, 8788])).
% 8.66/6.10 tff(8791,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8792,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s121, s122)) | trans(s121, s122))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8793,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s121, s122)) | trans(s121, s122)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8792, 8791])).
% 8.66/6.10 tff(8794,plain,
% 8.66/6.10 (trans(s121, s122)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8793, 8790, 51])).
% 8.66/6.10 tff(8795,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8796,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s121, s122)) | (~always3(s121)) | always3(s122))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8797,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s121, s122)) | (~always3(s121)) | always3(s122)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8796, 8795])).
% 8.66/6.10 tff(8798,plain,
% 8.66/6.10 ((~always3(s121)) | always3(s122)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8797, 68, 8794])).
% 8.66/6.10 tff(8799,plain,
% 8.66/6.10 (~always3(s121)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8798, 8787])).
% 8.66/6.10 tff(8800,plain,
% 8.66/6.10 (succ(s120, s121) <=> succ(s120, s121)),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8801,axiom,(succ(s120, s121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound121')).
% 8.66/6.10 tff(8802,plain,
% 8.66/6.10 (succ(s120, s121)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8801, 8800])).
% 8.66/6.10 tff(8803,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8804,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s120, s121)) | trans(s120, s121))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8805,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s120, s121)) | trans(s120, s121)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8804, 8803])).
% 8.66/6.10 tff(8806,plain,
% 8.66/6.10 (trans(s120, s121)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8805, 8802, 51])).
% 8.66/6.10 tff(8807,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8808,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s120, s121)) | (~always3(s120)) | always3(s121))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8809,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s120, s121)) | (~always3(s120)) | always3(s121)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8808, 8807])).
% 8.66/6.10 tff(8810,plain,
% 8.66/6.10 ((~always3(s120)) | always3(s121)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8809, 68, 8806])).
% 8.66/6.10 tff(8811,plain,
% 8.66/6.10 (~always3(s120)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8810, 8799])).
% 8.66/6.10 tff(8812,plain,
% 8.66/6.10 (succ(s119, s120) <=> succ(s119, s120)),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8813,axiom,(succ(s119, s120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound120')).
% 8.66/6.10 tff(8814,plain,
% 8.66/6.10 (succ(s119, s120)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8813, 8812])).
% 8.66/6.10 tff(8815,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8816,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s119, s120)) | trans(s119, s120))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8817,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s119, s120)) | trans(s119, s120)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8816, 8815])).
% 8.66/6.10 tff(8818,plain,
% 8.66/6.10 (trans(s119, s120)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8817, 8814, 51])).
% 8.66/6.10 tff(8819,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8820,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s119, s120)) | (~always3(s119)) | always3(s120))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8821,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s119, s120)) | (~always3(s119)) | always3(s120)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8820, 8819])).
% 8.66/6.10 tff(8822,plain,
% 8.66/6.10 ((~always3(s119)) | always3(s120)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8821, 68, 8818])).
% 8.66/6.10 tff(8823,plain,
% 8.66/6.10 (~always3(s119)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8822, 8811])).
% 8.66/6.10 tff(8824,plain,
% 8.66/6.10 (succ(s118, s119) <=> succ(s118, s119)),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8825,axiom,(succ(s118, s119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound119')).
% 8.66/6.10 tff(8826,plain,
% 8.66/6.10 (succ(s118, s119)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8825, 8824])).
% 8.66/6.10 tff(8827,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8828,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s118, s119)) | trans(s118, s119))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8829,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s118, s119)) | trans(s118, s119)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8828, 8827])).
% 8.66/6.10 tff(8830,plain,
% 8.66/6.10 (trans(s118, s119)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8829, 8826, 51])).
% 8.66/6.10 tff(8831,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8832,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s118, s119)) | (~always3(s118)) | always3(s119))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8833,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s118, s119)) | (~always3(s118)) | always3(s119)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8832, 8831])).
% 8.66/6.10 tff(8834,plain,
% 8.66/6.10 ((~always3(s118)) | always3(s119)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8833, 68, 8830])).
% 8.66/6.10 tff(8835,plain,
% 8.66/6.10 (~always3(s118)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8834, 8823])).
% 8.66/6.10 tff(8836,plain,
% 8.66/6.10 (succ(s117, s118) <=> succ(s117, s118)),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8837,axiom,(succ(s117, s118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound118')).
% 8.66/6.10 tff(8838,plain,
% 8.66/6.10 (succ(s117, s118)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8837, 8836])).
% 8.66/6.10 tff(8839,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8840,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s117, s118)) | trans(s117, s118))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8841,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s117, s118)) | trans(s117, s118)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8840, 8839])).
% 8.66/6.10 tff(8842,plain,
% 8.66/6.10 (trans(s117, s118)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8841, 8838, 51])).
% 8.66/6.10 tff(8843,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8844,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s117, s118)) | (~always3(s117)) | always3(s118))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8845,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s117, s118)) | (~always3(s117)) | always3(s118)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8844, 8843])).
% 8.66/6.10 tff(8846,plain,
% 8.66/6.10 ((~always3(s117)) | always3(s118)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8845, 68, 8842])).
% 8.66/6.10 tff(8847,plain,
% 8.66/6.10 (~always3(s117)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8846, 8835])).
% 8.66/6.10 tff(8848,plain,
% 8.66/6.10 (succ(s116, s117) <=> succ(s116, s117)),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8849,axiom,(succ(s116, s117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound117')).
% 8.66/6.10 tff(8850,plain,
% 8.66/6.10 (succ(s116, s117)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8849, 8848])).
% 8.66/6.10 tff(8851,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8852,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s116, s117)) | trans(s116, s117))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8853,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s116, s117)) | trans(s116, s117)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8852, 8851])).
% 8.66/6.10 tff(8854,plain,
% 8.66/6.10 (trans(s116, s117)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8853, 8850, 51])).
% 8.66/6.10 tff(8855,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8856,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s116, s117)) | (~always3(s116)) | always3(s117))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8857,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s116, s117)) | (~always3(s116)) | always3(s117)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8856, 8855])).
% 8.66/6.10 tff(8858,plain,
% 8.66/6.10 ((~always3(s116)) | always3(s117)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8857, 68, 8854])).
% 8.66/6.10 tff(8859,plain,
% 8.66/6.10 (~always3(s116)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8858, 8847])).
% 8.66/6.10 tff(8860,plain,
% 8.66/6.10 (succ(s115, s116) <=> succ(s115, s116)),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8861,axiom,(succ(s115, s116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound116')).
% 8.66/6.10 tff(8862,plain,
% 8.66/6.10 (succ(s115, s116)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8861, 8860])).
% 8.66/6.10 tff(8863,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8864,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s115, s116)) | trans(s115, s116))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8865,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s115, s116)) | trans(s115, s116)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8864, 8863])).
% 8.66/6.10 tff(8866,plain,
% 8.66/6.10 (trans(s115, s116)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8865, 8862, 51])).
% 8.66/6.10 tff(8867,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8868,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s115, s116)) | (~always3(s115)) | always3(s116))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8869,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s115, s116)) | (~always3(s115)) | always3(s116)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8868, 8867])).
% 8.66/6.10 tff(8870,plain,
% 8.66/6.10 ((~always3(s115)) | always3(s116)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8869, 68, 8866])).
% 8.66/6.10 tff(8871,plain,
% 8.66/6.10 (~always3(s115)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8870, 8859])).
% 8.66/6.10 tff(8872,plain,
% 8.66/6.10 (succ(s114, s115) <=> succ(s114, s115)),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8873,axiom,(succ(s114, s115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound115')).
% 8.66/6.10 tff(8874,plain,
% 8.66/6.10 (succ(s114, s115)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8873, 8872])).
% 8.66/6.10 tff(8875,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.10 tff(8876,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s114, s115)) | trans(s114, s115))),
% 8.66/6.10 inference(quant_inst,[status(thm)],[])).
% 8.66/6.10 tff(8877,plain,
% 8.66/6.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s114, s115)) | trans(s114, s115)),
% 8.66/6.10 inference(modus_ponens,[status(thm)],[8876, 8875])).
% 8.66/6.10 tff(8878,plain,
% 8.66/6.10 (trans(s114, s115)),
% 8.66/6.10 inference(unit_resolution,[status(thm)],[8877, 8874, 51])).
% 8.66/6.10 tff(8879,plain,
% 8.66/6.10 (((~![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))),
% 8.66/6.10 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8880,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s114, s115)) | (~always3(s114)) | always3(s115))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(8881,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s114, s115)) | (~always3(s114)) | always3(s115)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8880, 8879])).
% 8.66/6.11 tff(8882,plain,
% 8.66/6.11 ((~always3(s114)) | always3(s115)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8881, 68, 8878])).
% 8.66/6.11 tff(8883,plain,
% 8.66/6.11 (~always3(s114)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8882, 8871])).
% 8.66/6.11 tff(8884,plain,
% 8.66/6.11 (succ(s113, s114) <=> succ(s113, s114)),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8885,axiom,(succ(s113, s114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound114')).
% 8.66/6.11 tff(8886,plain,
% 8.66/6.11 (succ(s113, s114)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8885, 8884])).
% 8.66/6.11 tff(8887,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8888,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s113, s114)) | trans(s113, s114))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(8889,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s113, s114)) | trans(s113, s114)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8888, 8887])).
% 8.66/6.11 tff(8890,plain,
% 8.66/6.11 (trans(s113, s114)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8889, 8886, 51])).
% 8.66/6.11 tff(8891,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8892,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s113, s114)) | (~always3(s113)) | always3(s114))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(8893,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s113, s114)) | (~always3(s113)) | always3(s114)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8892, 8891])).
% 8.66/6.11 tff(8894,plain,
% 8.66/6.11 ((~always3(s113)) | always3(s114)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8893, 68, 8890])).
% 8.66/6.11 tff(8895,plain,
% 8.66/6.11 (~always3(s113)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8894, 8883])).
% 8.66/6.11 tff(8896,plain,
% 8.66/6.11 (succ(s112, s113) <=> succ(s112, s113)),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8897,axiom,(succ(s112, s113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound113')).
% 8.66/6.11 tff(8898,plain,
% 8.66/6.11 (succ(s112, s113)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8897, 8896])).
% 8.66/6.11 tff(8899,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8900,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s112, s113)) | trans(s112, s113))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(8901,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s112, s113)) | trans(s112, s113)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8900, 8899])).
% 8.66/6.11 tff(8902,plain,
% 8.66/6.11 (trans(s112, s113)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8901, 8898, 51])).
% 8.66/6.11 tff(8903,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8904,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s112, s113)) | (~always3(s112)) | always3(s113))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(8905,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s112, s113)) | (~always3(s112)) | always3(s113)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8904, 8903])).
% 8.66/6.11 tff(8906,plain,
% 8.66/6.11 ((~always3(s112)) | always3(s113)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8905, 68, 8902])).
% 8.66/6.11 tff(8907,plain,
% 8.66/6.11 (~always3(s112)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8906, 8895])).
% 8.66/6.11 tff(8908,plain,
% 8.66/6.11 (succ(s111, s112) <=> succ(s111, s112)),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8909,axiom,(succ(s111, s112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound112')).
% 8.66/6.11 tff(8910,plain,
% 8.66/6.11 (succ(s111, s112)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8909, 8908])).
% 8.66/6.11 tff(8911,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8912,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s111, s112)) | trans(s111, s112))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(8913,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s111, s112)) | trans(s111, s112)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8912, 8911])).
% 8.66/6.11 tff(8914,plain,
% 8.66/6.11 (trans(s111, s112)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8913, 8910, 51])).
% 8.66/6.11 tff(8915,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8916,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s111, s112)) | (~always3(s111)) | always3(s112))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(8917,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s111, s112)) | (~always3(s111)) | always3(s112)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8916, 8915])).
% 8.66/6.11 tff(8918,plain,
% 8.66/6.11 ((~always3(s111)) | always3(s112)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8917, 68, 8914])).
% 8.66/6.11 tff(8919,plain,
% 8.66/6.11 (~always3(s111)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8918, 8907])).
% 8.66/6.11 tff(8920,plain,
% 8.66/6.11 (succ(s110, s111) <=> succ(s110, s111)),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8921,axiom,(succ(s110, s111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound111')).
% 8.66/6.11 tff(8922,plain,
% 8.66/6.11 (succ(s110, s111)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8921, 8920])).
% 8.66/6.11 tff(8923,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8924,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s110, s111)) | trans(s110, s111))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(8925,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s110, s111)) | trans(s110, s111)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8924, 8923])).
% 8.66/6.11 tff(8926,plain,
% 8.66/6.11 (trans(s110, s111)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8925, 8922, 51])).
% 8.66/6.11 tff(8927,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8928,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s110, s111)) | (~always3(s110)) | always3(s111))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(8929,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s110, s111)) | (~always3(s110)) | always3(s111)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8928, 8927])).
% 8.66/6.11 tff(8930,plain,
% 8.66/6.11 ((~always3(s110)) | always3(s111)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8929, 68, 8926])).
% 8.66/6.11 tff(8931,plain,
% 8.66/6.11 (~always3(s110)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8930, 8919])).
% 8.66/6.11 tff(8932,plain,
% 8.66/6.11 (succ(s109, s110) <=> succ(s109, s110)),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8933,axiom,(succ(s109, s110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound110')).
% 8.66/6.11 tff(8934,plain,
% 8.66/6.11 (succ(s109, s110)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8933, 8932])).
% 8.66/6.11 tff(8935,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8936,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s109, s110)) | trans(s109, s110))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(8937,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s109, s110)) | trans(s109, s110)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8936, 8935])).
% 8.66/6.11 tff(8938,plain,
% 8.66/6.11 (trans(s109, s110)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8937, 8934, 51])).
% 8.66/6.11 tff(8939,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8940,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s109, s110)) | (~always3(s109)) | always3(s110))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(8941,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s109, s110)) | (~always3(s109)) | always3(s110)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8940, 8939])).
% 8.66/6.11 tff(8942,plain,
% 8.66/6.11 ((~always3(s109)) | always3(s110)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8941, 68, 8938])).
% 8.66/6.11 tff(8943,plain,
% 8.66/6.11 (~always3(s109)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8942, 8931])).
% 8.66/6.11 tff(8944,plain,
% 8.66/6.11 (succ(s108, s109) <=> succ(s108, s109)),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8945,axiom,(succ(s108, s109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound109')).
% 8.66/6.11 tff(8946,plain,
% 8.66/6.11 (succ(s108, s109)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8945, 8944])).
% 8.66/6.11 tff(8947,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8948,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s108, s109)) | trans(s108, s109))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(8949,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s108, s109)) | trans(s108, s109)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8948, 8947])).
% 8.66/6.11 tff(8950,plain,
% 8.66/6.11 (trans(s108, s109)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8949, 8946, 51])).
% 8.66/6.11 tff(8951,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8952,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s108, s109)) | (~always3(s108)) | always3(s109))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(8953,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s108, s109)) | (~always3(s108)) | always3(s109)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8952, 8951])).
% 8.66/6.11 tff(8954,plain,
% 8.66/6.11 ((~always3(s108)) | always3(s109)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8953, 68, 8950])).
% 8.66/6.11 tff(8955,plain,
% 8.66/6.11 (~always3(s108)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8954, 8943])).
% 8.66/6.11 tff(8956,plain,
% 8.66/6.11 (succ(s107, s108) <=> succ(s107, s108)),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8957,axiom,(succ(s107, s108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound108')).
% 8.66/6.11 tff(8958,plain,
% 8.66/6.11 (succ(s107, s108)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8957, 8956])).
% 8.66/6.11 tff(8959,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8960,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s107, s108)) | trans(s107, s108))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(8961,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s107, s108)) | trans(s107, s108)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8960, 8959])).
% 8.66/6.11 tff(8962,plain,
% 8.66/6.11 (trans(s107, s108)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8961, 8958, 51])).
% 8.66/6.11 tff(8963,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8964,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s107, s108)) | (~always3(s107)) | always3(s108))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(8965,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s107, s108)) | (~always3(s107)) | always3(s108)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8964, 8963])).
% 8.66/6.11 tff(8966,plain,
% 8.66/6.11 ((~always3(s107)) | always3(s108)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8965, 68, 8962])).
% 8.66/6.11 tff(8967,plain,
% 8.66/6.11 (~always3(s107)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8966, 8955])).
% 8.66/6.11 tff(8968,plain,
% 8.66/6.11 (succ(s106, s107) <=> succ(s106, s107)),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8969,axiom,(succ(s106, s107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound107')).
% 8.66/6.11 tff(8970,plain,
% 8.66/6.11 (succ(s106, s107)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8969, 8968])).
% 8.66/6.11 tff(8971,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8972,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s106, s107)) | trans(s106, s107))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(8973,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s106, s107)) | trans(s106, s107)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8972, 8971])).
% 8.66/6.11 tff(8974,plain,
% 8.66/6.11 (trans(s106, s107)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8973, 8970, 51])).
% 8.66/6.11 tff(8975,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8976,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s106, s107)) | (~always3(s106)) | always3(s107))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(8977,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s106, s107)) | (~always3(s106)) | always3(s107)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8976, 8975])).
% 8.66/6.11 tff(8978,plain,
% 8.66/6.11 ((~always3(s106)) | always3(s107)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8977, 68, 8974])).
% 8.66/6.11 tff(8979,plain,
% 8.66/6.11 (~always3(s106)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8978, 8967])).
% 8.66/6.11 tff(8980,plain,
% 8.66/6.11 (succ(s105, s106) <=> succ(s105, s106)),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8981,axiom,(succ(s105, s106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound106')).
% 8.66/6.11 tff(8982,plain,
% 8.66/6.11 (succ(s105, s106)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8981, 8980])).
% 8.66/6.11 tff(8983,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8984,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s105, s106)) | trans(s105, s106))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(8985,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s105, s106)) | trans(s105, s106)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8984, 8983])).
% 8.66/6.11 tff(8986,plain,
% 8.66/6.11 (trans(s105, s106)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8985, 8982, 51])).
% 8.66/6.11 tff(8987,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8988,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s105, s106)) | (~always3(s105)) | always3(s106))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(8989,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s105, s106)) | (~always3(s105)) | always3(s106)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8988, 8987])).
% 8.66/6.11 tff(8990,plain,
% 8.66/6.11 ((~always3(s105)) | always3(s106)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8989, 68, 8986])).
% 8.66/6.11 tff(8991,plain,
% 8.66/6.11 (~always3(s105)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8990, 8979])).
% 8.66/6.11 tff(8992,plain,
% 8.66/6.11 (succ(s104, s105) <=> succ(s104, s105)),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8993,axiom,(succ(s104, s105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound105')).
% 8.66/6.11 tff(8994,plain,
% 8.66/6.11 (succ(s104, s105)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8993, 8992])).
% 8.66/6.11 tff(8995,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(8996,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s104, s105)) | trans(s104, s105))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(8997,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s104, s105)) | trans(s104, s105)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[8996, 8995])).
% 8.66/6.11 tff(8998,plain,
% 8.66/6.11 (trans(s104, s105)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[8997, 8994, 51])).
% 8.66/6.11 tff(8999,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(9000,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s104, s105)) | (~always3(s104)) | always3(s105))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(9001,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s104, s105)) | (~always3(s104)) | always3(s105)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[9000, 8999])).
% 8.66/6.11 tff(9002,plain,
% 8.66/6.11 ((~always3(s104)) | always3(s105)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[9001, 68, 8998])).
% 8.66/6.11 tff(9003,plain,
% 8.66/6.11 (~always3(s104)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[9002, 8991])).
% 8.66/6.11 tff(9004,plain,
% 8.66/6.11 (succ(s103, s104) <=> succ(s103, s104)),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(9005,axiom,(succ(s103, s104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound104')).
% 8.66/6.11 tff(9006,plain,
% 8.66/6.11 (succ(s103, s104)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[9005, 9004])).
% 8.66/6.11 tff(9007,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(9008,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s103, s104)) | trans(s103, s104))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(9009,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s103, s104)) | trans(s103, s104)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[9008, 9007])).
% 8.66/6.11 tff(9010,plain,
% 8.66/6.11 (trans(s103, s104)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[9009, 9006, 51])).
% 8.66/6.11 tff(9011,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(9012,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s103, s104)) | (~always3(s103)) | always3(s104))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(9013,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s103, s104)) | (~always3(s103)) | always3(s104)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[9012, 9011])).
% 8.66/6.11 tff(9014,plain,
% 8.66/6.11 ((~always3(s103)) | always3(s104)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[9013, 68, 9010])).
% 8.66/6.11 tff(9015,plain,
% 8.66/6.11 (~always3(s103)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[9014, 9003])).
% 8.66/6.11 tff(9016,plain,
% 8.66/6.11 (succ(s102, s103) <=> succ(s102, s103)),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(9017,axiom,(succ(s102, s103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound103')).
% 8.66/6.11 tff(9018,plain,
% 8.66/6.11 (succ(s102, s103)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[9017, 9016])).
% 8.66/6.11 tff(9019,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(9020,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s102, s103)) | trans(s102, s103))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(9021,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s102, s103)) | trans(s102, s103)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[9020, 9019])).
% 8.66/6.11 tff(9022,plain,
% 8.66/6.11 (trans(s102, s103)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[9021, 9018, 51])).
% 8.66/6.11 tff(9023,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(9024,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s102, s103)) | (~always3(s102)) | always3(s103))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(9025,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s102, s103)) | (~always3(s102)) | always3(s103)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[9024, 9023])).
% 8.66/6.11 tff(9026,plain,
% 8.66/6.11 ((~always3(s102)) | always3(s103)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[9025, 68, 9022])).
% 8.66/6.11 tff(9027,plain,
% 8.66/6.11 (~always3(s102)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[9026, 9015])).
% 8.66/6.11 tff(9028,plain,
% 8.66/6.11 (succ(s101, s102) <=> succ(s101, s102)),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(9029,axiom,(succ(s101, s102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound102')).
% 8.66/6.11 tff(9030,plain,
% 8.66/6.11 (succ(s101, s102)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[9029, 9028])).
% 8.66/6.11 tff(9031,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(9032,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s101, s102)) | trans(s101, s102))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(9033,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s101, s102)) | trans(s101, s102)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[9032, 9031])).
% 8.66/6.11 tff(9034,plain,
% 8.66/6.11 (trans(s101, s102)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[9033, 9030, 51])).
% 8.66/6.11 tff(9035,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(9036,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s101, s102)) | (~always3(s101)) | always3(s102))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(9037,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s101, s102)) | (~always3(s101)) | always3(s102)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[9036, 9035])).
% 8.66/6.11 tff(9038,plain,
% 8.66/6.11 ((~always3(s101)) | always3(s102)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[9037, 68, 9034])).
% 8.66/6.11 tff(9039,plain,
% 8.66/6.11 (~always3(s101)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[9038, 9027])).
% 8.66/6.11 tff(9040,plain,
% 8.66/6.11 (succ(s100, s101) <=> succ(s100, s101)),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(9041,axiom,(succ(s100, s101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound101')).
% 8.66/6.11 tff(9042,plain,
% 8.66/6.11 (succ(s100, s101)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[9041, 9040])).
% 8.66/6.11 tff(9043,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(9044,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s100, s101)) | trans(s100, s101))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(9045,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s100, s101)) | trans(s100, s101)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[9044, 9043])).
% 8.66/6.11 tff(9046,plain,
% 8.66/6.11 (trans(s100, s101)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[9045, 9042, 51])).
% 8.66/6.11 tff(9047,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(9048,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s100, s101)) | (~always3(s100)) | always3(s101))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(9049,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s100, s101)) | (~always3(s100)) | always3(s101)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[9048, 9047])).
% 8.66/6.11 tff(9050,plain,
% 8.66/6.11 ((~always3(s100)) | always3(s101)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[9049, 68, 9046])).
% 8.66/6.11 tff(9051,plain,
% 8.66/6.11 (~always3(s100)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[9050, 9039])).
% 8.66/6.11 tff(9052,plain,
% 8.66/6.11 (succ(s99, s100) <=> succ(s99, s100)),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(9053,axiom,(succ(s99, s100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound100')).
% 8.66/6.11 tff(9054,plain,
% 8.66/6.11 (succ(s99, s100)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[9053, 9052])).
% 8.66/6.11 tff(9055,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(9056,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s99, s100)) | trans(s99, s100))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(9057,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s99, s100)) | trans(s99, s100)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[9056, 9055])).
% 8.66/6.11 tff(9058,plain,
% 8.66/6.11 (trans(s99, s100)),
% 8.66/6.11 inference(unit_resolution,[status(thm)],[9057, 9054, 51])).
% 8.66/6.11 tff(9059,plain,
% 8.66/6.11 (((~![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))),
% 8.66/6.11 inference(rewrite,[status(thm)],[])).
% 8.66/6.11 tff(9060,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s100)) | (~always3(s99)) | always3(s100))),
% 8.66/6.11 inference(quant_inst,[status(thm)],[])).
% 8.66/6.11 tff(9061,plain,
% 8.66/6.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s99, s100)) | (~always3(s99)) | always3(s100)),
% 8.66/6.11 inference(modus_ponens,[status(thm)],[9060, 9059])).
% 8.66/6.11 tff(9062,plain,
% 8.66/6.12 ((~always3(s99)) | always3(s100)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9061, 68, 9058])).
% 8.66/6.12 tff(9063,plain,
% 8.66/6.12 (~always3(s99)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9062, 9051])).
% 8.66/6.12 tff(9064,plain,
% 8.66/6.12 (succ(s98, s99) <=> succ(s98, s99)),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9065,axiom,(succ(s98, s99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound99')).
% 8.66/6.12 tff(9066,plain,
% 8.66/6.12 (succ(s98, s99)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9065, 9064])).
% 8.66/6.12 tff(9067,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9068,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s98, s99)) | trans(s98, s99))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9069,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s98, s99)) | trans(s98, s99)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9068, 9067])).
% 8.66/6.12 tff(9070,plain,
% 8.66/6.12 (trans(s98, s99)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9069, 9066, 51])).
% 8.66/6.12 tff(9071,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9072,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s98, s99)) | (~always3(s98)) | always3(s99))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9073,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s98, s99)) | (~always3(s98)) | always3(s99)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9072, 9071])).
% 8.66/6.12 tff(9074,plain,
% 8.66/6.12 ((~always3(s98)) | always3(s99)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9073, 68, 9070])).
% 8.66/6.12 tff(9075,plain,
% 8.66/6.12 (~always3(s98)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9074, 9063])).
% 8.66/6.12 tff(9076,plain,
% 8.66/6.12 (succ(s97, s98) <=> succ(s97, s98)),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9077,axiom,(succ(s97, s98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound98')).
% 8.66/6.12 tff(9078,plain,
% 8.66/6.12 (succ(s97, s98)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9077, 9076])).
% 8.66/6.12 tff(9079,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9080,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s97, s98)) | trans(s97, s98))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9081,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s97, s98)) | trans(s97, s98)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9080, 9079])).
% 8.66/6.12 tff(9082,plain,
% 8.66/6.12 (trans(s97, s98)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9081, 9078, 51])).
% 8.66/6.12 tff(9083,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9084,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s97, s98)) | (~always3(s97)) | always3(s98))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9085,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s97, s98)) | (~always3(s97)) | always3(s98)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9084, 9083])).
% 8.66/6.12 tff(9086,plain,
% 8.66/6.12 ((~always3(s97)) | always3(s98)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9085, 68, 9082])).
% 8.66/6.12 tff(9087,plain,
% 8.66/6.12 (~always3(s97)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9086, 9075])).
% 8.66/6.12 tff(9088,plain,
% 8.66/6.12 (succ(s96, s97) <=> succ(s96, s97)),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9089,axiom,(succ(s96, s97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound97')).
% 8.66/6.12 tff(9090,plain,
% 8.66/6.12 (succ(s96, s97)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9089, 9088])).
% 8.66/6.12 tff(9091,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9092,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s96, s97)) | trans(s96, s97))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9093,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s96, s97)) | trans(s96, s97)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9092, 9091])).
% 8.66/6.12 tff(9094,plain,
% 8.66/6.12 (trans(s96, s97)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9093, 9090, 51])).
% 8.66/6.12 tff(9095,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9096,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s96, s97)) | (~always3(s96)) | always3(s97))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9097,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s96, s97)) | (~always3(s96)) | always3(s97)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9096, 9095])).
% 8.66/6.12 tff(9098,plain,
% 8.66/6.12 ((~always3(s96)) | always3(s97)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9097, 68, 9094])).
% 8.66/6.12 tff(9099,plain,
% 8.66/6.12 (~always3(s96)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9098, 9087])).
% 8.66/6.12 tff(9100,plain,
% 8.66/6.12 (succ(s95, s96) <=> succ(s95, s96)),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9101,axiom,(succ(s95, s96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound96')).
% 8.66/6.12 tff(9102,plain,
% 8.66/6.12 (succ(s95, s96)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9101, 9100])).
% 8.66/6.12 tff(9103,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9104,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s95, s96)) | trans(s95, s96))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9105,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s95, s96)) | trans(s95, s96)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9104, 9103])).
% 8.66/6.12 tff(9106,plain,
% 8.66/6.12 (trans(s95, s96)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9105, 9102, 51])).
% 8.66/6.12 tff(9107,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9108,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s95, s96)) | (~always3(s95)) | always3(s96))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9109,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s95, s96)) | (~always3(s95)) | always3(s96)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9108, 9107])).
% 8.66/6.12 tff(9110,plain,
% 8.66/6.12 ((~always3(s95)) | always3(s96)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9109, 68, 9106])).
% 8.66/6.12 tff(9111,plain,
% 8.66/6.12 (~always3(s95)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9110, 9099])).
% 8.66/6.12 tff(9112,plain,
% 8.66/6.12 (succ(s94, s95) <=> succ(s94, s95)),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9113,axiom,(succ(s94, s95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound95')).
% 8.66/6.12 tff(9114,plain,
% 8.66/6.12 (succ(s94, s95)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9113, 9112])).
% 8.66/6.12 tff(9115,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9116,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s94, s95)) | trans(s94, s95))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9117,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s94, s95)) | trans(s94, s95)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9116, 9115])).
% 8.66/6.12 tff(9118,plain,
% 8.66/6.12 (trans(s94, s95)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9117, 9114, 51])).
% 8.66/6.12 tff(9119,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9120,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s94, s95)) | (~always3(s94)) | always3(s95))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9121,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s94, s95)) | (~always3(s94)) | always3(s95)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9120, 9119])).
% 8.66/6.12 tff(9122,plain,
% 8.66/6.12 ((~always3(s94)) | always3(s95)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9121, 68, 9118])).
% 8.66/6.12 tff(9123,plain,
% 8.66/6.12 (~always3(s94)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9122, 9111])).
% 8.66/6.12 tff(9124,plain,
% 8.66/6.12 (succ(s93, s94) <=> succ(s93, s94)),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9125,axiom,(succ(s93, s94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound94')).
% 8.66/6.12 tff(9126,plain,
% 8.66/6.12 (succ(s93, s94)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9125, 9124])).
% 8.66/6.12 tff(9127,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9128,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s93, s94)) | trans(s93, s94))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9129,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s93, s94)) | trans(s93, s94)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9128, 9127])).
% 8.66/6.12 tff(9130,plain,
% 8.66/6.12 (trans(s93, s94)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9129, 9126, 51])).
% 8.66/6.12 tff(9131,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9132,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s93, s94)) | (~always3(s93)) | always3(s94))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9133,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s93, s94)) | (~always3(s93)) | always3(s94)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9132, 9131])).
% 8.66/6.12 tff(9134,plain,
% 8.66/6.12 ((~always3(s93)) | always3(s94)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9133, 68, 9130])).
% 8.66/6.12 tff(9135,plain,
% 8.66/6.12 (~always3(s93)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9134, 9123])).
% 8.66/6.12 tff(9136,plain,
% 8.66/6.12 (succ(s92, s93) <=> succ(s92, s93)),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9137,axiom,(succ(s92, s93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound93')).
% 8.66/6.12 tff(9138,plain,
% 8.66/6.12 (succ(s92, s93)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9137, 9136])).
% 8.66/6.12 tff(9139,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9140,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s92, s93)) | trans(s92, s93))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9141,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s92, s93)) | trans(s92, s93)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9140, 9139])).
% 8.66/6.12 tff(9142,plain,
% 8.66/6.12 (trans(s92, s93)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9141, 9138, 51])).
% 8.66/6.12 tff(9143,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9144,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s92, s93)) | (~always3(s92)) | always3(s93))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9145,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s92, s93)) | (~always3(s92)) | always3(s93)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9144, 9143])).
% 8.66/6.12 tff(9146,plain,
% 8.66/6.12 ((~always3(s92)) | always3(s93)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9145, 68, 9142])).
% 8.66/6.12 tff(9147,plain,
% 8.66/6.12 (~always3(s92)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9146, 9135])).
% 8.66/6.12 tff(9148,plain,
% 8.66/6.12 (succ(s91, s92) <=> succ(s91, s92)),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9149,axiom,(succ(s91, s92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound92')).
% 8.66/6.12 tff(9150,plain,
% 8.66/6.12 (succ(s91, s92)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9149, 9148])).
% 8.66/6.12 tff(9151,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9152,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s91, s92)) | trans(s91, s92))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9153,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s91, s92)) | trans(s91, s92)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9152, 9151])).
% 8.66/6.12 tff(9154,plain,
% 8.66/6.12 (trans(s91, s92)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9153, 9150, 51])).
% 8.66/6.12 tff(9155,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9156,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s91, s92)) | (~always3(s91)) | always3(s92))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9157,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s91, s92)) | (~always3(s91)) | always3(s92)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9156, 9155])).
% 8.66/6.12 tff(9158,plain,
% 8.66/6.12 ((~always3(s91)) | always3(s92)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9157, 68, 9154])).
% 8.66/6.12 tff(9159,plain,
% 8.66/6.12 (~always3(s91)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9158, 9147])).
% 8.66/6.12 tff(9160,plain,
% 8.66/6.12 (succ(s90, s91) <=> succ(s90, s91)),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9161,axiom,(succ(s90, s91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound91')).
% 8.66/6.12 tff(9162,plain,
% 8.66/6.12 (succ(s90, s91)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9161, 9160])).
% 8.66/6.12 tff(9163,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9164,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s90, s91)) | trans(s90, s91))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9165,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s90, s91)) | trans(s90, s91)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9164, 9163])).
% 8.66/6.12 tff(9166,plain,
% 8.66/6.12 (trans(s90, s91)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9165, 9162, 51])).
% 8.66/6.12 tff(9167,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9168,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s90, s91)) | (~always3(s90)) | always3(s91))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9169,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s90, s91)) | (~always3(s90)) | always3(s91)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9168, 9167])).
% 8.66/6.12 tff(9170,plain,
% 8.66/6.12 ((~always3(s90)) | always3(s91)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9169, 68, 9166])).
% 8.66/6.12 tff(9171,plain,
% 8.66/6.12 (~always3(s90)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9170, 9159])).
% 8.66/6.12 tff(9172,plain,
% 8.66/6.12 (succ(s89, s90) <=> succ(s89, s90)),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9173,axiom,(succ(s89, s90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound90')).
% 8.66/6.12 tff(9174,plain,
% 8.66/6.12 (succ(s89, s90)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9173, 9172])).
% 8.66/6.12 tff(9175,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9176,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s89, s90)) | trans(s89, s90))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9177,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s89, s90)) | trans(s89, s90)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9176, 9175])).
% 8.66/6.12 tff(9178,plain,
% 8.66/6.12 (trans(s89, s90)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9177, 9174, 51])).
% 8.66/6.12 tff(9179,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9180,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s89, s90)) | (~always3(s89)) | always3(s90))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9181,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s89, s90)) | (~always3(s89)) | always3(s90)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9180, 9179])).
% 8.66/6.12 tff(9182,plain,
% 8.66/6.12 ((~always3(s89)) | always3(s90)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9181, 68, 9178])).
% 8.66/6.12 tff(9183,plain,
% 8.66/6.12 (~always3(s89)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9182, 9171])).
% 8.66/6.12 tff(9184,plain,
% 8.66/6.12 (succ(s88, s89) <=> succ(s88, s89)),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9185,axiom,(succ(s88, s89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound89')).
% 8.66/6.12 tff(9186,plain,
% 8.66/6.12 (succ(s88, s89)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9185, 9184])).
% 8.66/6.12 tff(9187,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9188,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s88, s89)) | trans(s88, s89))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9189,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s88, s89)) | trans(s88, s89)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9188, 9187])).
% 8.66/6.12 tff(9190,plain,
% 8.66/6.12 (trans(s88, s89)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9189, 9186, 51])).
% 8.66/6.12 tff(9191,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9192,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s88, s89)) | (~always3(s88)) | always3(s89))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9193,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s88, s89)) | (~always3(s88)) | always3(s89)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9192, 9191])).
% 8.66/6.12 tff(9194,plain,
% 8.66/6.12 ((~always3(s88)) | always3(s89)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9193, 68, 9190])).
% 8.66/6.12 tff(9195,plain,
% 8.66/6.12 (~always3(s88)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9194, 9183])).
% 8.66/6.12 tff(9196,plain,
% 8.66/6.12 (succ(s87, s88) <=> succ(s87, s88)),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9197,axiom,(succ(s87, s88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound88')).
% 8.66/6.12 tff(9198,plain,
% 8.66/6.12 (succ(s87, s88)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9197, 9196])).
% 8.66/6.12 tff(9199,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9200,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s87, s88)) | trans(s87, s88))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9201,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s87, s88)) | trans(s87, s88)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9200, 9199])).
% 8.66/6.12 tff(9202,plain,
% 8.66/6.12 (trans(s87, s88)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9201, 9198, 51])).
% 8.66/6.12 tff(9203,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9204,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s87, s88)) | (~always3(s87)) | always3(s88))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9205,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s87, s88)) | (~always3(s87)) | always3(s88)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9204, 9203])).
% 8.66/6.12 tff(9206,plain,
% 8.66/6.12 ((~always3(s87)) | always3(s88)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9205, 68, 9202])).
% 8.66/6.12 tff(9207,plain,
% 8.66/6.12 (~always3(s87)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9206, 9195])).
% 8.66/6.12 tff(9208,plain,
% 8.66/6.12 (succ(s86, s87) <=> succ(s86, s87)),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9209,axiom,(succ(s86, s87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound87')).
% 8.66/6.12 tff(9210,plain,
% 8.66/6.12 (succ(s86, s87)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9209, 9208])).
% 8.66/6.12 tff(9211,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9212,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s86, s87)) | trans(s86, s87))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9213,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s86, s87)) | trans(s86, s87)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9212, 9211])).
% 8.66/6.12 tff(9214,plain,
% 8.66/6.12 (trans(s86, s87)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9213, 9210, 51])).
% 8.66/6.12 tff(9215,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9216,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s86, s87)) | (~always3(s86)) | always3(s87))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9217,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s86, s87)) | (~always3(s86)) | always3(s87)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9216, 9215])).
% 8.66/6.12 tff(9218,plain,
% 8.66/6.12 ((~always3(s86)) | always3(s87)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9217, 68, 9214])).
% 8.66/6.12 tff(9219,plain,
% 8.66/6.12 (~always3(s86)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9218, 9207])).
% 8.66/6.12 tff(9220,plain,
% 8.66/6.12 (succ(s85, s86) <=> succ(s85, s86)),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9221,axiom,(succ(s85, s86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound86')).
% 8.66/6.12 tff(9222,plain,
% 8.66/6.12 (succ(s85, s86)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9221, 9220])).
% 8.66/6.12 tff(9223,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9224,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s85, s86)) | trans(s85, s86))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9225,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s85, s86)) | trans(s85, s86)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9224, 9223])).
% 8.66/6.12 tff(9226,plain,
% 8.66/6.12 (trans(s85, s86)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9225, 9222, 51])).
% 8.66/6.12 tff(9227,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9228,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s85, s86)) | (~always3(s85)) | always3(s86))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9229,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s85, s86)) | (~always3(s85)) | always3(s86)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9228, 9227])).
% 8.66/6.12 tff(9230,plain,
% 8.66/6.12 ((~always3(s85)) | always3(s86)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9229, 68, 9226])).
% 8.66/6.12 tff(9231,plain,
% 8.66/6.12 (~always3(s85)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9230, 9219])).
% 8.66/6.12 tff(9232,plain,
% 8.66/6.12 (succ(s84, s85) <=> succ(s84, s85)),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9233,axiom,(succ(s84, s85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound85')).
% 8.66/6.12 tff(9234,plain,
% 8.66/6.12 (succ(s84, s85)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9233, 9232])).
% 8.66/6.12 tff(9235,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9236,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s84, s85)) | trans(s84, s85))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9237,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s84, s85)) | trans(s84, s85)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9236, 9235])).
% 8.66/6.12 tff(9238,plain,
% 8.66/6.12 (trans(s84, s85)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9237, 9234, 51])).
% 8.66/6.12 tff(9239,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9240,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s84, s85)) | (~always3(s84)) | always3(s85))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9241,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s84, s85)) | (~always3(s84)) | always3(s85)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9240, 9239])).
% 8.66/6.12 tff(9242,plain,
% 8.66/6.12 ((~always3(s84)) | always3(s85)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9241, 68, 9238])).
% 8.66/6.12 tff(9243,plain,
% 8.66/6.12 (~always3(s84)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9242, 9231])).
% 8.66/6.12 tff(9244,plain,
% 8.66/6.12 (succ(s83, s84) <=> succ(s83, s84)),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9245,axiom,(succ(s83, s84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound84')).
% 8.66/6.12 tff(9246,plain,
% 8.66/6.12 (succ(s83, s84)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9245, 9244])).
% 8.66/6.12 tff(9247,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9248,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s83, s84)) | trans(s83, s84))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9249,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s83, s84)) | trans(s83, s84)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9248, 9247])).
% 8.66/6.12 tff(9250,plain,
% 8.66/6.12 (trans(s83, s84)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9249, 9246, 51])).
% 8.66/6.12 tff(9251,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9252,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s83, s84)) | (~always3(s83)) | always3(s84))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9253,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s83, s84)) | (~always3(s83)) | always3(s84)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9252, 9251])).
% 8.66/6.12 tff(9254,plain,
% 8.66/6.12 ((~always3(s83)) | always3(s84)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9253, 68, 9250])).
% 8.66/6.12 tff(9255,plain,
% 8.66/6.12 (~always3(s83)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9254, 9243])).
% 8.66/6.12 tff(9256,plain,
% 8.66/6.12 (succ(s82, s83) <=> succ(s82, s83)),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9257,axiom,(succ(s82, s83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound83')).
% 8.66/6.12 tff(9258,plain,
% 8.66/6.12 (succ(s82, s83)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9257, 9256])).
% 8.66/6.12 tff(9259,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9260,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s82, s83)) | trans(s82, s83))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9261,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s82, s83)) | trans(s82, s83)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9260, 9259])).
% 8.66/6.12 tff(9262,plain,
% 8.66/6.12 (trans(s82, s83)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9261, 9258, 51])).
% 8.66/6.12 tff(9263,plain,
% 8.66/6.12 (((~![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))),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9264,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s82, s83)) | (~always3(s82)) | always3(s83))),
% 8.66/6.12 inference(quant_inst,[status(thm)],[])).
% 8.66/6.12 tff(9265,plain,
% 8.66/6.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s82, s83)) | (~always3(s82)) | always3(s83)),
% 8.66/6.12 inference(modus_ponens,[status(thm)],[9264, 9263])).
% 8.66/6.12 tff(9266,plain,
% 8.66/6.12 ((~always3(s82)) | always3(s83)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9265, 68, 9262])).
% 8.66/6.12 tff(9267,plain,
% 8.66/6.12 (~always3(s82)),
% 8.66/6.12 inference(unit_resolution,[status(thm)],[9266, 9255])).
% 8.66/6.12 tff(9268,plain,
% 8.66/6.12 (succ(s81, s82) <=> succ(s81, s82)),
% 8.66/6.12 inference(rewrite,[status(thm)],[])).
% 8.66/6.12 tff(9269,axiom,(succ(s81, s82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound82')).
% 8.66/6.13 tff(9270,plain,
% 8.66/6.13 (succ(s81, s82)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9269, 9268])).
% 8.66/6.13 tff(9271,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9272,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s81, s82)) | trans(s81, s82))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9273,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s81, s82)) | trans(s81, s82)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9272, 9271])).
% 8.66/6.13 tff(9274,plain,
% 8.66/6.13 (trans(s81, s82)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9273, 9270, 51])).
% 8.66/6.13 tff(9275,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9276,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s81, s82)) | (~always3(s81)) | always3(s82))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9277,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s81, s82)) | (~always3(s81)) | always3(s82)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9276, 9275])).
% 8.66/6.13 tff(9278,plain,
% 8.66/6.13 ((~always3(s81)) | always3(s82)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9277, 68, 9274])).
% 8.66/6.13 tff(9279,plain,
% 8.66/6.13 (~always3(s81)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9278, 9267])).
% 8.66/6.13 tff(9280,plain,
% 8.66/6.13 (succ(s80, s81) <=> succ(s80, s81)),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9281,axiom,(succ(s80, s81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound81')).
% 8.66/6.13 tff(9282,plain,
% 8.66/6.13 (succ(s80, s81)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9281, 9280])).
% 8.66/6.13 tff(9283,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9284,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s80, s81)) | trans(s80, s81))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9285,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s80, s81)) | trans(s80, s81)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9284, 9283])).
% 8.66/6.13 tff(9286,plain,
% 8.66/6.13 (trans(s80, s81)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9285, 9282, 51])).
% 8.66/6.13 tff(9287,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9288,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s80, s81)) | (~always3(s80)) | always3(s81))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9289,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s80, s81)) | (~always3(s80)) | always3(s81)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9288, 9287])).
% 8.66/6.13 tff(9290,plain,
% 8.66/6.13 ((~always3(s80)) | always3(s81)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9289, 68, 9286])).
% 8.66/6.13 tff(9291,plain,
% 8.66/6.13 (~always3(s80)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9290, 9279])).
% 8.66/6.13 tff(9292,plain,
% 8.66/6.13 (succ(s79, s80) <=> succ(s79, s80)),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9293,axiom,(succ(s79, s80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound80')).
% 8.66/6.13 tff(9294,plain,
% 8.66/6.13 (succ(s79, s80)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9293, 9292])).
% 8.66/6.13 tff(9295,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9296,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s79, s80)) | trans(s79, s80))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9297,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s79, s80)) | trans(s79, s80)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9296, 9295])).
% 8.66/6.13 tff(9298,plain,
% 8.66/6.13 (trans(s79, s80)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9297, 9294, 51])).
% 8.66/6.13 tff(9299,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9300,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s79, s80)) | (~always3(s79)) | always3(s80))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9301,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s79, s80)) | (~always3(s79)) | always3(s80)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9300, 9299])).
% 8.66/6.13 tff(9302,plain,
% 8.66/6.13 ((~always3(s79)) | always3(s80)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9301, 68, 9298])).
% 8.66/6.13 tff(9303,plain,
% 8.66/6.13 (~always3(s79)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9302, 9291])).
% 8.66/6.13 tff(9304,plain,
% 8.66/6.13 (succ(s78, s79) <=> succ(s78, s79)),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9305,axiom,(succ(s78, s79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound79')).
% 8.66/6.13 tff(9306,plain,
% 8.66/6.13 (succ(s78, s79)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9305, 9304])).
% 8.66/6.13 tff(9307,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9308,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s78, s79)) | trans(s78, s79))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9309,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s78, s79)) | trans(s78, s79)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9308, 9307])).
% 8.66/6.13 tff(9310,plain,
% 8.66/6.13 (trans(s78, s79)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9309, 9306, 51])).
% 8.66/6.13 tff(9311,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9312,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s78, s79)) | (~always3(s78)) | always3(s79))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9313,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s78, s79)) | (~always3(s78)) | always3(s79)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9312, 9311])).
% 8.66/6.13 tff(9314,plain,
% 8.66/6.13 ((~always3(s78)) | always3(s79)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9313, 68, 9310])).
% 8.66/6.13 tff(9315,plain,
% 8.66/6.13 (~always3(s78)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9314, 9303])).
% 8.66/6.13 tff(9316,plain,
% 8.66/6.13 (succ(s77, s78) <=> succ(s77, s78)),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9317,axiom,(succ(s77, s78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound78')).
% 8.66/6.13 tff(9318,plain,
% 8.66/6.13 (succ(s77, s78)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9317, 9316])).
% 8.66/6.13 tff(9319,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9320,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s77, s78)) | trans(s77, s78))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9321,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s77, s78)) | trans(s77, s78)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9320, 9319])).
% 8.66/6.13 tff(9322,plain,
% 8.66/6.13 (trans(s77, s78)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9321, 9318, 51])).
% 8.66/6.13 tff(9323,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9324,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s77, s78)) | (~always3(s77)) | always3(s78))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9325,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s77, s78)) | (~always3(s77)) | always3(s78)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9324, 9323])).
% 8.66/6.13 tff(9326,plain,
% 8.66/6.13 ((~always3(s77)) | always3(s78)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9325, 68, 9322])).
% 8.66/6.13 tff(9327,plain,
% 8.66/6.13 (~always3(s77)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9326, 9315])).
% 8.66/6.13 tff(9328,plain,
% 8.66/6.13 (succ(s76, s77) <=> succ(s76, s77)),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9329,axiom,(succ(s76, s77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound77')).
% 8.66/6.13 tff(9330,plain,
% 8.66/6.13 (succ(s76, s77)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9329, 9328])).
% 8.66/6.13 tff(9331,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9332,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s76, s77)) | trans(s76, s77))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9333,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s76, s77)) | trans(s76, s77)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9332, 9331])).
% 8.66/6.13 tff(9334,plain,
% 8.66/6.13 (trans(s76, s77)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9333, 9330, 51])).
% 8.66/6.13 tff(9335,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9336,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s76, s77)) | (~always3(s76)) | always3(s77))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9337,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s76, s77)) | (~always3(s76)) | always3(s77)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9336, 9335])).
% 8.66/6.13 tff(9338,plain,
% 8.66/6.13 ((~always3(s76)) | always3(s77)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9337, 68, 9334])).
% 8.66/6.13 tff(9339,plain,
% 8.66/6.13 (~always3(s76)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9338, 9327])).
% 8.66/6.13 tff(9340,plain,
% 8.66/6.13 (succ(s75, s76) <=> succ(s75, s76)),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9341,axiom,(succ(s75, s76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound76')).
% 8.66/6.13 tff(9342,plain,
% 8.66/6.13 (succ(s75, s76)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9341, 9340])).
% 8.66/6.13 tff(9343,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9344,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s75, s76)) | trans(s75, s76))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9345,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s75, s76)) | trans(s75, s76)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9344, 9343])).
% 8.66/6.13 tff(9346,plain,
% 8.66/6.13 (trans(s75, s76)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9345, 9342, 51])).
% 8.66/6.13 tff(9347,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9348,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s75, s76)) | (~always3(s75)) | always3(s76))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9349,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s75, s76)) | (~always3(s75)) | always3(s76)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9348, 9347])).
% 8.66/6.13 tff(9350,plain,
% 8.66/6.13 ((~always3(s75)) | always3(s76)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9349, 68, 9346])).
% 8.66/6.13 tff(9351,plain,
% 8.66/6.13 (~always3(s75)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9350, 9339])).
% 8.66/6.13 tff(9352,plain,
% 8.66/6.13 (succ(s74, s75) <=> succ(s74, s75)),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9353,axiom,(succ(s74, s75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound75')).
% 8.66/6.13 tff(9354,plain,
% 8.66/6.13 (succ(s74, s75)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9353, 9352])).
% 8.66/6.13 tff(9355,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9356,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s74, s75)) | trans(s74, s75))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9357,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s74, s75)) | trans(s74, s75)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9356, 9355])).
% 8.66/6.13 tff(9358,plain,
% 8.66/6.13 (trans(s74, s75)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9357, 9354, 51])).
% 8.66/6.13 tff(9359,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9360,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s74, s75)) | (~always3(s74)) | always3(s75))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9361,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s74, s75)) | (~always3(s74)) | always3(s75)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9360, 9359])).
% 8.66/6.13 tff(9362,plain,
% 8.66/6.13 ((~always3(s74)) | always3(s75)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9361, 68, 9358])).
% 8.66/6.13 tff(9363,plain,
% 8.66/6.13 (~always3(s74)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9362, 9351])).
% 8.66/6.13 tff(9364,plain,
% 8.66/6.13 (succ(s73, s74) <=> succ(s73, s74)),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9365,axiom,(succ(s73, s74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound74')).
% 8.66/6.13 tff(9366,plain,
% 8.66/6.13 (succ(s73, s74)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9365, 9364])).
% 8.66/6.13 tff(9367,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9368,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s73, s74)) | trans(s73, s74))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9369,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s73, s74)) | trans(s73, s74)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9368, 9367])).
% 8.66/6.13 tff(9370,plain,
% 8.66/6.13 (trans(s73, s74)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9369, 9366, 51])).
% 8.66/6.13 tff(9371,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9372,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s73, s74)) | (~always3(s73)) | always3(s74))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9373,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s73, s74)) | (~always3(s73)) | always3(s74)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9372, 9371])).
% 8.66/6.13 tff(9374,plain,
% 8.66/6.13 ((~always3(s73)) | always3(s74)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9373, 68, 9370])).
% 8.66/6.13 tff(9375,plain,
% 8.66/6.13 (~always3(s73)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9374, 9363])).
% 8.66/6.13 tff(9376,plain,
% 8.66/6.13 (succ(s72, s73) <=> succ(s72, s73)),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9377,axiom,(succ(s72, s73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound73')).
% 8.66/6.13 tff(9378,plain,
% 8.66/6.13 (succ(s72, s73)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9377, 9376])).
% 8.66/6.13 tff(9379,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9380,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s72, s73)) | trans(s72, s73))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9381,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s72, s73)) | trans(s72, s73)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9380, 9379])).
% 8.66/6.13 tff(9382,plain,
% 8.66/6.13 (trans(s72, s73)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9381, 9378, 51])).
% 8.66/6.13 tff(9383,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9384,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s72, s73)) | (~always3(s72)) | always3(s73))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9385,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s72, s73)) | (~always3(s72)) | always3(s73)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9384, 9383])).
% 8.66/6.13 tff(9386,plain,
% 8.66/6.13 ((~always3(s72)) | always3(s73)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9385, 68, 9382])).
% 8.66/6.13 tff(9387,plain,
% 8.66/6.13 (~always3(s72)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9386, 9375])).
% 8.66/6.13 tff(9388,plain,
% 8.66/6.13 (succ(s71, s72) <=> succ(s71, s72)),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9389,axiom,(succ(s71, s72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound72')).
% 8.66/6.13 tff(9390,plain,
% 8.66/6.13 (succ(s71, s72)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9389, 9388])).
% 8.66/6.13 tff(9391,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9392,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s71, s72)) | trans(s71, s72))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9393,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s71, s72)) | trans(s71, s72)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9392, 9391])).
% 8.66/6.13 tff(9394,plain,
% 8.66/6.13 (trans(s71, s72)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9393, 9390, 51])).
% 8.66/6.13 tff(9395,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9396,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s71, s72)) | (~always3(s71)) | always3(s72))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9397,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s71, s72)) | (~always3(s71)) | always3(s72)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9396, 9395])).
% 8.66/6.13 tff(9398,plain,
% 8.66/6.13 ((~always3(s71)) | always3(s72)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9397, 68, 9394])).
% 8.66/6.13 tff(9399,plain,
% 8.66/6.13 (~always3(s71)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9398, 9387])).
% 8.66/6.13 tff(9400,plain,
% 8.66/6.13 (succ(s70, s71) <=> succ(s70, s71)),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9401,axiom,(succ(s70, s71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound71')).
% 8.66/6.13 tff(9402,plain,
% 8.66/6.13 (succ(s70, s71)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9401, 9400])).
% 8.66/6.13 tff(9403,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9404,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s70, s71)) | trans(s70, s71))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9405,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s70, s71)) | trans(s70, s71)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9404, 9403])).
% 8.66/6.13 tff(9406,plain,
% 8.66/6.13 (trans(s70, s71)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9405, 9402, 51])).
% 8.66/6.13 tff(9407,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9408,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s70, s71)) | (~always3(s70)) | always3(s71))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9409,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s70, s71)) | (~always3(s70)) | always3(s71)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9408, 9407])).
% 8.66/6.13 tff(9410,plain,
% 8.66/6.13 ((~always3(s70)) | always3(s71)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9409, 68, 9406])).
% 8.66/6.13 tff(9411,plain,
% 8.66/6.13 (~always3(s70)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9410, 9399])).
% 8.66/6.13 tff(9412,plain,
% 8.66/6.13 (succ(s69, s70) <=> succ(s69, s70)),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9413,axiom,(succ(s69, s70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound70')).
% 8.66/6.13 tff(9414,plain,
% 8.66/6.13 (succ(s69, s70)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9413, 9412])).
% 8.66/6.13 tff(9415,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9416,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s69, s70)) | trans(s69, s70))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9417,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s69, s70)) | trans(s69, s70)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9416, 9415])).
% 8.66/6.13 tff(9418,plain,
% 8.66/6.13 (trans(s69, s70)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9417, 9414, 51])).
% 8.66/6.13 tff(9419,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9420,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s69, s70)) | (~always3(s69)) | always3(s70))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9421,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s69, s70)) | (~always3(s69)) | always3(s70)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9420, 9419])).
% 8.66/6.13 tff(9422,plain,
% 8.66/6.13 ((~always3(s69)) | always3(s70)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9421, 68, 9418])).
% 8.66/6.13 tff(9423,plain,
% 8.66/6.13 (~always3(s69)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9422, 9411])).
% 8.66/6.13 tff(9424,plain,
% 8.66/6.13 (succ(s68, s69) <=> succ(s68, s69)),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9425,axiom,(succ(s68, s69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound69')).
% 8.66/6.13 tff(9426,plain,
% 8.66/6.13 (succ(s68, s69)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9425, 9424])).
% 8.66/6.13 tff(9427,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9428,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s68, s69)) | trans(s68, s69))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9429,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s68, s69)) | trans(s68, s69)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9428, 9427])).
% 8.66/6.13 tff(9430,plain,
% 8.66/6.13 (trans(s68, s69)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9429, 9426, 51])).
% 8.66/6.13 tff(9431,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9432,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s68, s69)) | (~always3(s68)) | always3(s69))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9433,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s68, s69)) | (~always3(s68)) | always3(s69)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9432, 9431])).
% 8.66/6.13 tff(9434,plain,
% 8.66/6.13 ((~always3(s68)) | always3(s69)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9433, 68, 9430])).
% 8.66/6.13 tff(9435,plain,
% 8.66/6.13 (~always3(s68)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9434, 9423])).
% 8.66/6.13 tff(9436,plain,
% 8.66/6.13 (succ(s67, s68) <=> succ(s67, s68)),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9437,axiom,(succ(s67, s68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound68')).
% 8.66/6.13 tff(9438,plain,
% 8.66/6.13 (succ(s67, s68)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9437, 9436])).
% 8.66/6.13 tff(9439,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9440,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s67, s68)) | trans(s67, s68))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9441,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s67, s68)) | trans(s67, s68)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9440, 9439])).
% 8.66/6.13 tff(9442,plain,
% 8.66/6.13 (trans(s67, s68)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9441, 9438, 51])).
% 8.66/6.13 tff(9443,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9444,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s67, s68)) | (~always3(s67)) | always3(s68))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9445,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s67, s68)) | (~always3(s67)) | always3(s68)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9444, 9443])).
% 8.66/6.13 tff(9446,plain,
% 8.66/6.13 ((~always3(s67)) | always3(s68)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9445, 68, 9442])).
% 8.66/6.13 tff(9447,plain,
% 8.66/6.13 (~always3(s67)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9446, 9435])).
% 8.66/6.13 tff(9448,plain,
% 8.66/6.13 (succ(s66, s67) <=> succ(s66, s67)),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9449,axiom,(succ(s66, s67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound67')).
% 8.66/6.13 tff(9450,plain,
% 8.66/6.13 (succ(s66, s67)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9449, 9448])).
% 8.66/6.13 tff(9451,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9452,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s66, s67)) | trans(s66, s67))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9453,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s66, s67)) | trans(s66, s67)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9452, 9451])).
% 8.66/6.13 tff(9454,plain,
% 8.66/6.13 (trans(s66, s67)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9453, 9450, 51])).
% 8.66/6.13 tff(9455,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9456,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s66, s67)) | (~always3(s66)) | always3(s67))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9457,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s66, s67)) | (~always3(s66)) | always3(s67)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9456, 9455])).
% 8.66/6.13 tff(9458,plain,
% 8.66/6.13 ((~always3(s66)) | always3(s67)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9457, 68, 9454])).
% 8.66/6.13 tff(9459,plain,
% 8.66/6.13 (~always3(s66)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9458, 9447])).
% 8.66/6.13 tff(9460,plain,
% 8.66/6.13 (succ(s65, s66) <=> succ(s65, s66)),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9461,axiom,(succ(s65, s66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound66')).
% 8.66/6.13 tff(9462,plain,
% 8.66/6.13 (succ(s65, s66)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9461, 9460])).
% 8.66/6.13 tff(9463,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9464,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s65, s66)) | trans(s65, s66))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9465,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s65, s66)) | trans(s65, s66)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9464, 9463])).
% 8.66/6.13 tff(9466,plain,
% 8.66/6.13 (trans(s65, s66)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9465, 9462, 51])).
% 8.66/6.13 tff(9467,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9468,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s65, s66)) | (~always3(s65)) | always3(s66))),
% 8.66/6.13 inference(quant_inst,[status(thm)],[])).
% 8.66/6.13 tff(9469,plain,
% 8.66/6.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s65, s66)) | (~always3(s65)) | always3(s66)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9468, 9467])).
% 8.66/6.13 tff(9470,plain,
% 8.66/6.13 ((~always3(s65)) | always3(s66)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9469, 68, 9466])).
% 8.66/6.13 tff(9471,plain,
% 8.66/6.13 (~always3(s65)),
% 8.66/6.13 inference(unit_resolution,[status(thm)],[9470, 9459])).
% 8.66/6.13 tff(9472,plain,
% 8.66/6.13 (succ(s64, s65) <=> succ(s64, s65)),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9473,axiom,(succ(s64, s65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound65')).
% 8.66/6.13 tff(9474,plain,
% 8.66/6.13 (succ(s64, s65)),
% 8.66/6.13 inference(modus_ponens,[status(thm)],[9473, 9472])).
% 8.66/6.13 tff(9475,plain,
% 8.66/6.13 (((~![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))),
% 8.66/6.13 inference(rewrite,[status(thm)],[])).
% 8.66/6.13 tff(9476,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s64, s65)) | trans(s64, s65))),
% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9477,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s64, s65)) | trans(s64, s65)),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9476, 9475])).
% 8.66/6.14 tff(9478,plain,
% 8.66/6.14 (trans(s64, s65)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9477, 9474, 51])).
% 8.66/6.14 tff(9479,plain,
% 8.66/6.14 (((~![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))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9480,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s64, s65)) | (~always3(s64)) | always3(s65))),
% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9481,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s64, s65)) | (~always3(s64)) | always3(s65)),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9480, 9479])).
% 8.66/6.14 tff(9482,plain,
% 8.66/6.14 ((~always3(s64)) | always3(s65)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9481, 68, 9478])).
% 8.66/6.14 tff(9483,plain,
% 8.66/6.14 (~always3(s64)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9482, 9471])).
% 8.66/6.14 tff(9484,plain,
% 8.66/6.14 (succ(s63, s64) <=> succ(s63, s64)),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9485,axiom,(succ(s63, s64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound64')).
% 8.66/6.14 tff(9486,plain,
% 8.66/6.14 (succ(s63, s64)),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9485, 9484])).
% 8.66/6.14 tff(9487,plain,
% 8.66/6.14 (((~![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))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9488,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s63, s64)) | trans(s63, s64))),
% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9489,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s63, s64)) | trans(s63, s64)),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9488, 9487])).
% 8.66/6.14 tff(9490,plain,
% 8.66/6.14 (trans(s63, s64)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9489, 9486, 51])).
% 8.66/6.14 tff(9491,plain,
% 8.66/6.14 (((~![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))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9492,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s63, s64)) | (~always3(s63)) | always3(s64))),
% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9493,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s63, s64)) | (~always3(s63)) | always3(s64)),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9492, 9491])).
% 8.66/6.14 tff(9494,plain,
% 8.66/6.14 ((~always3(s63)) | always3(s64)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9493, 68, 9490])).
% 8.66/6.14 tff(9495,plain,
% 8.66/6.14 (~always3(s63)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9494, 9483])).
% 8.66/6.14 tff(9496,plain,
% 8.66/6.14 (succ(s62, s63) <=> succ(s62, s63)),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9497,axiom,(succ(s62, s63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound63')).
% 8.66/6.14 tff(9498,plain,
% 8.66/6.14 (succ(s62, s63)),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9497, 9496])).
% 8.66/6.14 tff(9499,plain,
% 8.66/6.14 (((~![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))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9500,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s62, s63)) | trans(s62, s63))),
% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9501,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s62, s63)) | trans(s62, s63)),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9500, 9499])).
% 8.66/6.14 tff(9502,plain,
% 8.66/6.14 (trans(s62, s63)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9501, 9498, 51])).
% 8.66/6.14 tff(9503,plain,
% 8.66/6.14 (((~![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))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9504,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s62, s63)) | (~always3(s62)) | always3(s63))),
% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9505,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s62, s63)) | (~always3(s62)) | always3(s63)),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9504, 9503])).
% 8.66/6.14 tff(9506,plain,
% 8.66/6.14 ((~always3(s62)) | always3(s63)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9505, 68, 9502])).
% 8.66/6.14 tff(9507,plain,
% 8.66/6.14 (~always3(s62)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9506, 9495])).
% 8.66/6.14 tff(9508,plain,
% 8.66/6.14 (succ(s61, s62) <=> succ(s61, s62)),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9509,axiom,(succ(s61, s62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound62')).
% 8.66/6.14 tff(9510,plain,
% 8.66/6.14 (succ(s61, s62)),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9509, 9508])).
% 8.66/6.14 tff(9511,plain,
% 8.66/6.14 (((~![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))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9512,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s61, s62)) | trans(s61, s62))),
% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9513,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s61, s62)) | trans(s61, s62)),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9512, 9511])).
% 8.66/6.14 tff(9514,plain,
% 8.66/6.14 (trans(s61, s62)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9513, 9510, 51])).
% 8.66/6.14 tff(9515,plain,
% 8.66/6.14 (((~![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))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9516,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s61, s62)) | (~always3(s61)) | always3(s62))),
% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9517,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s61, s62)) | (~always3(s61)) | always3(s62)),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9516, 9515])).
% 8.66/6.14 tff(9518,plain,
% 8.66/6.14 ((~always3(s61)) | always3(s62)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9517, 68, 9514])).
% 8.66/6.14 tff(9519,plain,
% 8.66/6.14 (~always3(s61)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9518, 9507])).
% 8.66/6.14 tff(9520,plain,
% 8.66/6.14 (succ(s60, s61) <=> succ(s60, s61)),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9521,axiom,(succ(s60, s61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound61')).
% 8.66/6.14 tff(9522,plain,
% 8.66/6.14 (succ(s60, s61)),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9521, 9520])).
% 8.66/6.14 tff(9523,plain,
% 8.66/6.14 (((~![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))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9524,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s60, s61)) | trans(s60, s61))),
% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9525,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s60, s61)) | trans(s60, s61)),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9524, 9523])).
% 8.66/6.14 tff(9526,plain,
% 8.66/6.14 (trans(s60, s61)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9525, 9522, 51])).
% 8.66/6.14 tff(9527,plain,
% 8.66/6.14 (((~![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))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9528,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s60, s61)) | (~always3(s60)) | always3(s61))),
% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9529,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s60, s61)) | (~always3(s60)) | always3(s61)),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9528, 9527])).
% 8.66/6.14 tff(9530,plain,
% 8.66/6.14 ((~always3(s60)) | always3(s61)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9529, 68, 9526])).
% 8.66/6.14 tff(9531,plain,
% 8.66/6.14 (~always3(s60)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9530, 9519])).
% 8.66/6.14 tff(9532,plain,
% 8.66/6.14 (succ(s59, s60) <=> succ(s59, s60)),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9533,axiom,(succ(s59, s60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound60')).
% 8.66/6.14 tff(9534,plain,
% 8.66/6.14 (succ(s59, s60)),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9533, 9532])).
% 8.66/6.14 tff(9535,plain,
% 8.66/6.14 (((~![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))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9536,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s59, s60)) | trans(s59, s60))),
% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9537,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s59, s60)) | trans(s59, s60)),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9536, 9535])).
% 8.66/6.14 tff(9538,plain,
% 8.66/6.14 (trans(s59, s60)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9537, 9534, 51])).
% 8.66/6.14 tff(9539,plain,
% 8.66/6.14 (((~![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))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9540,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s59, s60)) | (~always3(s59)) | always3(s60))),
% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9541,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s59, s60)) | (~always3(s59)) | always3(s60)),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9540, 9539])).
% 8.66/6.14 tff(9542,plain,
% 8.66/6.14 ((~always3(s59)) | always3(s60)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9541, 68, 9538])).
% 8.66/6.14 tff(9543,plain,
% 8.66/6.14 (~always3(s59)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9542, 9531])).
% 8.66/6.14 tff(9544,plain,
% 8.66/6.14 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s59) | (~node4(s59)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s59) | (~node4(s59)))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9545,plain,
% 8.66/6.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s59) | (~node4(s59)))),
% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9546,plain,
% 8.66/6.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s59) | (~node4(s59))),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9545, 9544])).
% 8.66/6.14 tff(9547,plain,
% 8.66/6.14 (~node4(s59)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9546, 22, 9543])).
% 8.66/6.14 tff(9548,plain,
% 8.66/6.14 (succ(s58, s59) <=> succ(s58, s59)),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9549,axiom,(succ(s58, s59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound59')).
% 8.66/6.14 tff(9550,plain,
% 8.66/6.14 (succ(s58, s59)),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9549, 9548])).
% 8.66/6.14 tff(9551,plain,
% 8.66/6.14 (((~![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))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9552,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s58, s59)) | trans(s58, s59))),
% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9553,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s58, s59)) | trans(s58, s59)),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9552, 9551])).
% 8.66/6.14 tff(9554,plain,
% 8.66/6.14 (trans(s58, s59)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9553, 9550, 51])).
% 8.66/6.14 tff(9555,plain,
% 8.66/6.14 (((~![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))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9556,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s58, s59)) | (~always3(s58)) | always3(s59))),
% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9557,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s58, s59)) | (~always3(s58)) | always3(s59)),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9556, 9555])).
% 8.66/6.14 tff(9558,plain,
% 8.66/6.14 ((~always3(s58)) | always3(s59)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9557, 68, 9554])).
% 8.66/6.14 tff(9559,plain,
% 8.66/6.14 (~always3(s58)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9558, 9543])).
% 8.66/6.14 tff(9560,plain,
% 8.66/6.14 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s58) | (~node4(s58)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s58) | (~node4(s58)))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9561,plain,
% 8.66/6.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s58) | (~node4(s58)))),
% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9562,plain,
% 8.66/6.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s58) | (~node4(s58))),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9561, 9560])).
% 8.66/6.14 tff(9563,plain,
% 8.66/6.14 (~node4(s58)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9562, 22, 9559])).
% 8.66/6.14 tff(9564,plain,
% 8.66/6.14 (((~![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)))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9565,plain,
% 8.66/6.14 ((node4(s58) | (~until5(s58)) | xuntil6(s58)) <=> (xuntil6(s58) | node4(s58) | (~until5(s58)))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9566,plain,
% 8.66/6.14 (((~![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))))),
% 8.66/6.14 inference(monotonicity,[status(thm)],[9565])).
% 8.66/6.14 tff(9567,plain,
% 8.66/6.14 (((~![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)))),
% 8.66/6.14 inference(transitivity,[status(thm)],[9566, 9564])).
% 8.66/6.14 tff(9568,plain,
% 8.66/6.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s58) | (~until5(s58)) | xuntil6(s58))),
% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9569,plain,
% 8.66/6.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s58) | node4(s58) | (~until5(s58))),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9568, 9567])).
% 8.66/6.14 tff(9570,plain,
% 8.66/6.14 (xuntil6(s58) | node4(s58)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9569, 36, 6320])).
% 8.66/6.14 tff(9571,plain,
% 8.66/6.14 (xuntil6(s58)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9570, 9563])).
% 8.66/6.14 tff(9572,plain,
% 8.66/6.14 (((~![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))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9573,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s58, s59)) | (~xuntil6(s58)) | until5(s59))),
% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9574,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s58, s59)) | (~xuntil6(s58)) | until5(s59)),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9573, 9572])).
% 8.66/6.14 tff(9575,plain,
% 8.66/6.14 ((~xuntil6(s58)) | until5(s59)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9574, 9550, 141])).
% 8.66/6.14 tff(9576,plain,
% 8.66/6.14 (until5(s59)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9575, 9571])).
% 8.66/6.14 tff(9577,plain,
% 8.66/6.14 (((~![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)))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9578,plain,
% 8.66/6.14 ((node4(s59) | (~until5(s59)) | xuntil6(s59)) <=> (xuntil6(s59) | node4(s59) | (~until5(s59)))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9579,plain,
% 8.66/6.14 (((~![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))))),
% 8.66/6.14 inference(monotonicity,[status(thm)],[9578])).
% 8.66/6.14 tff(9580,plain,
% 8.66/6.14 (((~![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)))),
% 8.66/6.14 inference(transitivity,[status(thm)],[9579, 9577])).
% 8.66/6.14 tff(9581,plain,
% 8.66/6.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s59) | (~until5(s59)) | xuntil6(s59))),
% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9582,plain,
% 8.66/6.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s59) | node4(s59) | (~until5(s59))),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9581, 9580])).
% 8.66/6.14 tff(9583,plain,
% 8.66/6.14 (xuntil6(s59)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9582, 36, 9576, 9547])).
% 8.66/6.14 tff(9584,plain,
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% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9585,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s59, s60)) | (~xuntil6(s59)) | until5(s60))),
% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9586,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s59, s60)) | (~xuntil6(s59)) | until5(s60)),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9585, 9584])).
% 8.66/6.14 tff(9587,plain,
% 8.66/6.14 ((~xuntil6(s59)) | until5(s60)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9586, 9534, 141])).
% 8.66/6.14 tff(9588,plain,
% 8.66/6.14 (until5(s60)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9587, 9583])).
% 8.66/6.14 tff(9589,plain,
% 8.66/6.14 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s60) | (~node4(s60)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s60) | (~node4(s60)))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9590,plain,
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% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9591,plain,
% 8.66/6.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s60) | (~node4(s60))),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9590, 9589])).
% 8.66/6.14 tff(9592,plain,
% 8.66/6.14 (~node4(s60)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9591, 22, 9531])).
% 8.66/6.14 tff(9593,plain,
% 8.66/6.14 (((~![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)))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9594,plain,
% 8.66/6.14 ((node4(s60) | (~until5(s60)) | xuntil6(s60)) <=> (xuntil6(s60) | node4(s60) | (~until5(s60)))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9595,plain,
% 8.66/6.14 (((~![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))))),
% 8.66/6.14 inference(monotonicity,[status(thm)],[9594])).
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% 8.66/6.14 inference(transitivity,[status(thm)],[9595, 9593])).
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% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9598,plain,
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% 8.66/6.14 inference(modus_ponens,[status(thm)],[9597, 9596])).
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% 8.66/6.14 inference(unit_resolution,[status(thm)],[9598, 36, 9592])).
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% 8.66/6.14 (xuntil6(s60)),
% 8.66/6.14 inference(unit_resolution,[status(thm)],[9599, 9588])).
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% 8.66/6.14 (((~![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))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9602,plain,
% 8.66/6.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s60, s61)) | (~xuntil6(s60)) | until5(s61))),
% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9603,plain,
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% 8.66/6.14 inference(modus_ponens,[status(thm)],[9602, 9601])).
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% 8.66/6.14 inference(unit_resolution,[status(thm)],[9603, 9522, 141])).
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% 8.66/6.14 inference(unit_resolution,[status(thm)],[9604, 9600])).
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% 8.66/6.14 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s61) | (~node4(s61)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s61) | (~node4(s61)))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9607,plain,
% 8.66/6.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s61) | (~node4(s61)))),
% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9608,plain,
% 8.66/6.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s61) | (~node4(s61))),
% 8.66/6.14 inference(modus_ponens,[status(thm)],[9607, 9606])).
% 8.66/6.14 tff(9609,plain,
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% 8.66/6.14 inference(unit_resolution,[status(thm)],[9608, 22, 9519])).
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% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9611,plain,
% 8.66/6.14 ((node4(s61) | (~until5(s61)) | xuntil6(s61)) <=> (xuntil6(s61) | node4(s61) | (~until5(s61)))),
% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9612,plain,
% 8.66/6.14 (((~![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))))),
% 8.66/6.14 inference(monotonicity,[status(thm)],[9611])).
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% 8.66/6.14 inference(transitivity,[status(thm)],[9612, 9610])).
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% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9615,plain,
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% 8.66/6.14 inference(modus_ponens,[status(thm)],[9614, 9613])).
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% 8.66/6.14 inference(unit_resolution,[status(thm)],[9615, 36, 9609])).
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% 8.66/6.14 inference(rewrite,[status(thm)],[])).
% 8.66/6.14 tff(9619,plain,
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% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9620,plain,
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% 8.66/6.14 inference(modus_ponens,[status(thm)],[9619, 9618])).
% 8.66/6.14 tff(9621,plain,
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% 8.66/6.14 inference(unit_resolution,[status(thm)],[9620, 9510, 141])).
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% 8.66/6.14 inference(rewrite,[status(thm)],[])).
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% 8.66/6.14 inference(quant_inst,[status(thm)],[])).
% 8.66/6.14 tff(9625,plain,
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% 8.66/6.14 inference(modus_ponens,[status(thm)],[9624, 9623])).
% 8.66/6.14 tff(9626,plain,
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% 8.66/6.15 inference(monotonicity,[status(thm)],[9696])).
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% 8.66/6.15 (((~![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)))),
% 8.66/6.15 inference(transitivity,[status(thm)],[9697, 9695])).
% 8.66/6.15 tff(9699,plain,
% 8.66/6.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s66) | (~until5(s66)) | xuntil6(s66))),
% 8.66/6.15 inference(quant_inst,[status(thm)],[])).
% 8.66/6.15 tff(9700,plain,
% 8.66/6.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s66) | node4(s66) | (~until5(s66))),
% 8.66/6.15 inference(modus_ponens,[status(thm)],[9699, 9698])).
% 8.66/6.15 tff(9701,plain,
% 8.66/6.15 (xuntil6(s66) | (~until5(s66))),
% 8.66/6.15 inference(unit_resolution,[status(thm)],[9700, 36, 9694])).
% 8.66/6.15 tff(9702,plain,
% 8.66/6.15 (xuntil6(s66)),
% 8.66/6.15 inference(unit_resolution,[status(thm)],[9701, 9690])).
% 8.66/6.15 tff(9703,plain,
% 8.66/6.15 (((~![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))),
% 8.66/6.15 inference(rewrite,[status(thm)],[])).
% 8.66/6.15 tff(9704,plain,
% 8.66/6.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s66, s67)) | (~xuntil6(s66)) | until5(s67))),
% 8.66/6.15 inference(quant_inst,[status(thm)],[])).
% 8.66/6.15 tff(9705,plain,
% 8.66/6.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s66, s67)) | (~xuntil6(s66)) | until5(s67)),
% 8.66/6.15 inference(modus_ponens,[status(thm)],[9704, 9703])).
% 8.66/6.15 tff(9706,plain,
% 8.66/6.15 ((~xuntil6(s66)) | until5(s67)),
% 8.66/6.15 inference(unit_resolution,[status(thm)],[9705, 9450, 141])).
% 8.66/6.15 tff(9707,plain,
% 8.66/6.15 (until5(s67)),
% 8.66/6.15 inference(unit_resolution,[status(thm)],[9706, 9702])).
% 8.66/6.15 tff(9708,plain,
% 8.66/6.15 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s67) | (~node4(s67)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s67) | (~node4(s67)))),
% 8.66/6.15 inference(rewrite,[status(thm)],[])).
% 8.66/6.15 tff(9709,plain,
% 8.66/6.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s67) | (~node4(s67)))),
% 8.66/6.15 inference(quant_inst,[status(thm)],[])).
% 8.66/6.15 tff(9710,plain,
% 8.66/6.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s67) | (~node4(s67))),
% 8.66/6.15 inference(modus_ponens,[status(thm)],[9709, 9708])).
% 8.66/6.15 tff(9711,plain,
% 8.66/6.15 (~node4(s67)),
% 8.66/6.15 inference(unit_resolution,[status(thm)],[9710, 22, 9447])).
% 8.66/6.15 tff(9712,plain,
% 8.66/6.15 (((~![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)))),
% 8.66/6.15 inference(rewrite,[status(thm)],[])).
% 8.66/6.15 tff(9713,plain,
% 8.66/6.15 ((node4(s67) | (~until5(s67)) | xuntil6(s67)) <=> (xuntil6(s67) | node4(s67) | (~until5(s67)))),
% 8.66/6.15 inference(rewrite,[status(thm)],[])).
% 8.66/6.15 tff(9714,plain,
% 8.66/6.15 (((~![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))))),
% 8.66/6.15 inference(monotonicity,[status(thm)],[9713])).
% 8.66/6.15 tff(9715,plain,
% 8.66/6.15 (((~![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)))),
% 8.66/6.15 inference(transitivity,[status(thm)],[9714, 9712])).
% 8.66/6.15 tff(9716,plain,
% 8.66/6.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s67) | (~until5(s67)) | xuntil6(s67))),
% 8.66/6.15 inference(quant_inst,[status(thm)],[])).
% 8.66/6.15 tff(9717,plain,
% 8.66/6.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s67) | node4(s67) | (~until5(s67))),
% 8.66/6.15 inference(modus_ponens,[status(thm)],[9716, 9715])).
% 8.66/6.15 tff(9718,plain,
% 8.66/6.15 (xuntil6(s67) | (~until5(s67))),
% 8.66/6.15 inference(unit_resolution,[status(thm)],[9717, 36, 9711])).
% 8.66/6.15 tff(9719,plain,
% 8.66/6.15 (xuntil6(s67)),
% 8.66/6.15 inference(unit_resolution,[status(thm)],[9718, 9707])).
% 8.66/6.15 tff(9720,plain,
% 8.66/6.15 (((~![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))),
% 8.66/6.15 inference(rewrite,[status(thm)],[])).
% 8.66/6.15 tff(9721,plain,
% 8.66/6.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s67, s68)) | (~xuntil6(s67)) | until5(s68))),
% 8.66/6.15 inference(quant_inst,[status(thm)],[])).
% 8.66/6.15 tff(9722,plain,
% 8.66/6.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s67, s68)) | (~xuntil6(s67)) | until5(s68)),
% 8.66/6.15 inference(modus_ponens,[status(thm)],[9721, 9720])).
% 8.66/6.15 tff(9723,plain,
% 8.66/6.15 ((~xuntil6(s67)) | until5(s68)),
% 8.66/6.15 inference(unit_resolution,[status(thm)],[9722, 9438, 141])).
% 8.66/6.15 tff(9724,plain,
% 8.66/6.15 (until5(s68)),
% 8.66/6.15 inference(unit_resolution,[status(thm)],[9723, 9719])).
% 8.66/6.15 tff(9725,plain,
% 8.66/6.15 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s68) | (~node4(s68)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s68) | (~node4(s68)))),
% 8.66/6.15 inference(rewrite,[status(thm)],[])).
% 8.66/6.15 tff(9726,plain,
% 8.66/6.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s68) | (~node4(s68)))),
% 8.66/6.15 inference(quant_inst,[status(thm)],[])).
% 8.66/6.15 tff(9727,plain,
% 8.66/6.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s68) | (~node4(s68))),
% 8.66/6.15 inference(modus_ponens,[status(thm)],[9726, 9725])).
% 8.66/6.15 tff(9728,plain,
% 8.66/6.15 (~node4(s68)),
% 8.66/6.15 inference(unit_resolution,[status(thm)],[9727, 22, 9435])).
% 8.66/6.15 tff(9729,plain,
% 8.66/6.15 (((~![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)))),
% 8.66/6.15 inference(rewrite,[status(thm)],[])).
% 8.66/6.15 tff(9730,plain,
% 8.66/6.15 ((node4(s68) | (~until5(s68)) | xuntil6(s68)) <=> (xuntil6(s68) | node4(s68) | (~until5(s68)))),
% 8.66/6.15 inference(rewrite,[status(thm)],[])).
% 8.66/6.15 tff(9731,plain,
% 8.66/6.15 (((~![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))))),
% 8.66/6.15 inference(monotonicity,[status(thm)],[9730])).
% 8.66/6.15 tff(9732,plain,
% 8.66/6.15 (((~![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)))),
% 8.66/6.15 inference(transitivity,[status(thm)],[9731, 9729])).
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% 8.66/6.15 inference(quant_inst,[status(thm)],[])).
% 8.66/6.15 tff(9734,plain,
% 8.66/6.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s68) | node4(s68) | (~until5(s68))),
% 8.66/6.15 inference(modus_ponens,[status(thm)],[9733, 9732])).
% 8.66/6.15 tff(9735,plain,
% 8.66/6.15 (xuntil6(s68) | (~until5(s68))),
% 8.66/6.15 inference(unit_resolution,[status(thm)],[9734, 36, 9728])).
% 8.66/6.15 tff(9736,plain,
% 8.66/6.15 (xuntil6(s68)),
% 8.66/6.15 inference(unit_resolution,[status(thm)],[9735, 9724])).
% 8.66/6.15 tff(9737,plain,
% 8.66/6.15 (((~![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))),
% 8.66/6.15 inference(rewrite,[status(thm)],[])).
% 8.66/6.15 tff(9738,plain,
% 8.66/6.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s68, s69)) | (~xuntil6(s68)) | until5(s69))),
% 8.66/6.15 inference(quant_inst,[status(thm)],[])).
% 8.66/6.15 tff(9739,plain,
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% 8.66/6.15 inference(modus_ponens,[status(thm)],[9738, 9737])).
% 8.66/6.15 tff(9740,plain,
% 8.66/6.15 ((~xuntil6(s68)) | until5(s69)),
% 8.66/6.15 inference(unit_resolution,[status(thm)],[9739, 9426, 141])).
% 8.66/6.15 tff(9741,plain,
% 8.66/6.15 (until5(s69)),
% 8.66/6.15 inference(unit_resolution,[status(thm)],[9740, 9736])).
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% 8.66/6.15 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s69) | (~node4(s69)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s69) | (~node4(s69)))),
% 8.66/6.15 inference(rewrite,[status(thm)],[])).
% 8.66/6.15 tff(9743,plain,
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% 8.66/6.15 inference(quant_inst,[status(thm)],[])).
% 8.66/6.15 tff(9744,plain,
% 8.66/6.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s69) | (~node4(s69))),
% 8.66/6.15 inference(modus_ponens,[status(thm)],[9743, 9742])).
% 8.66/6.15 tff(9745,plain,
% 8.66/6.15 (~node4(s69)),
% 8.66/6.15 inference(unit_resolution,[status(thm)],[9744, 22, 9423])).
% 8.66/6.15 tff(9746,plain,
% 8.66/6.15 (((~![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)))),
% 8.66/6.15 inference(rewrite,[status(thm)],[])).
% 8.66/6.15 tff(9747,plain,
% 8.66/6.15 ((node4(s69) | (~until5(s69)) | xuntil6(s69)) <=> (xuntil6(s69) | node4(s69) | (~until5(s69)))),
% 8.66/6.15 inference(rewrite,[status(thm)],[])).
% 8.66/6.15 tff(9748,plain,
% 8.66/6.15 (((~![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))))),
% 8.66/6.15 inference(monotonicity,[status(thm)],[9747])).
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% 8.66/6.15 inference(transitivity,[status(thm)],[9748, 9746])).
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% 8.66/6.15 inference(quant_inst,[status(thm)],[])).
% 8.66/6.15 tff(9751,plain,
% 8.66/6.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s69) | node4(s69) | (~until5(s69))),
% 8.66/6.15 inference(modus_ponens,[status(thm)],[9750, 9749])).
% 8.66/6.15 tff(9752,plain,
% 8.66/6.15 (xuntil6(s69) | (~until5(s69))),
% 8.66/6.15 inference(unit_resolution,[status(thm)],[9751, 36, 9745])).
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% 8.66/6.15 (xuntil6(s69)),
% 8.66/6.15 inference(unit_resolution,[status(thm)],[9752, 9741])).
% 8.66/6.15 tff(9754,plain,
% 8.66/6.15 (((~![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))),
% 8.66/6.15 inference(rewrite,[status(thm)],[])).
% 8.66/6.15 tff(9755,plain,
% 8.66/6.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s69, s70)) | (~xuntil6(s69)) | until5(s70))),
% 8.66/6.15 inference(quant_inst,[status(thm)],[])).
% 8.66/6.15 tff(9756,plain,
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% 8.66/6.15 inference(modus_ponens,[status(thm)],[9755, 9754])).
% 8.66/6.15 tff(9757,plain,
% 8.66/6.15 ((~xuntil6(s69)) | until5(s70)),
% 8.66/6.15 inference(unit_resolution,[status(thm)],[9756, 9414, 141])).
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% 8.66/6.15 (until5(s70)),
% 8.66/6.15 inference(unit_resolution,[status(thm)],[9757, 9753])).
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% 8.66/6.15 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s70) | (~node4(s70)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s70) | (~node4(s70)))),
% 8.66/6.15 inference(rewrite,[status(thm)],[])).
% 8.66/6.15 tff(9760,plain,
% 8.66/6.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s70) | (~node4(s70)))),
% 8.66/6.15 inference(quant_inst,[status(thm)],[])).
% 8.66/6.15 tff(9761,plain,
% 8.66/6.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s70) | (~node4(s70))),
% 8.66/6.15 inference(modus_ponens,[status(thm)],[9760, 9759])).
% 8.66/6.15 tff(9762,plain,
% 8.66/6.15 (~node4(s70)),
% 8.66/6.15 inference(unit_resolution,[status(thm)],[9761, 22, 9411])).
% 8.66/6.15 tff(9763,plain,
% 8.66/6.15 (((~![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)))),
% 8.66/6.15 inference(rewrite,[status(thm)],[])).
% 8.66/6.15 tff(9764,plain,
% 8.66/6.15 ((node4(s70) | (~until5(s70)) | xuntil6(s70)) <=> (xuntil6(s70) | node4(s70) | (~until5(s70)))),
% 8.66/6.15 inference(rewrite,[status(thm)],[])).
% 8.66/6.15 tff(9765,plain,
% 8.66/6.15 (((~![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))))),
% 8.66/6.15 inference(monotonicity,[status(thm)],[9764])).
% 8.66/6.15 tff(9766,plain,
% 8.66/6.15 (((~![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)))),
% 8.66/6.15 inference(transitivity,[status(thm)],[9765, 9763])).
% 8.66/6.15 tff(9767,plain,
% 8.66/6.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s70) | (~until5(s70)) | xuntil6(s70))),
% 8.66/6.15 inference(quant_inst,[status(thm)],[])).
% 8.66/6.15 tff(9768,plain,
% 8.66/6.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s70) | node4(s70) | (~until5(s70))),
% 8.66/6.15 inference(modus_ponens,[status(thm)],[9767, 9766])).
% 8.66/6.15 tff(9769,plain,
% 8.66/6.15 (xuntil6(s70) | (~until5(s70))),
% 8.66/6.15 inference(unit_resolution,[status(thm)],[9768, 36, 9762])).
% 8.66/6.15 tff(9770,plain,
% 8.66/6.15 (xuntil6(s70)),
% 8.66/6.15 inference(unit_resolution,[status(thm)],[9769, 9758])).
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% 8.66/6.15 inference(rewrite,[status(thm)],[])).
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% 8.66/6.15 inference(rewrite,[status(thm)],[])).
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% 8.66/6.15 inference(rewrite,[status(thm)],[])).
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% 8.66/6.15 inference(rewrite,[status(thm)],[])).
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% 8.66/6.15 inference(rewrite,[status(thm)],[])).
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% 8.66/6.15 inference(rewrite,[status(thm)],[])).
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% 8.66/6.15 inference(quant_inst,[status(thm)],[])).
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% 8.66/6.15 inference(rewrite,[status(thm)],[])).
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% 8.66/6.15 inference(unit_resolution,[status(thm)],[9842, 9838])).
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% 8.66/6.15 inference(rewrite,[status(thm)],[])).
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% 8.66/6.15 inference(rewrite,[status(thm)],[])).
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% 8.66/6.15 inference(rewrite,[status(thm)],[])).
% 8.66/6.15 tff(9850,plain,
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% 8.66/6.15 inference(monotonicity,[status(thm)],[9849])).
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% 8.66/6.15 inference(transitivity,[status(thm)],[9850, 9848])).
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% 8.66/6.16 inference(quant_inst,[status(thm)],[])).
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% 8.66/6.16 inference(unit_resolution,[status(thm)],[9853, 36, 9847])).
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% 8.66/6.16 inference(unit_resolution,[status(thm)],[9854, 9843])).
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
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% 8.66/6.16 inference(quant_inst,[status(thm)],[])).
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% 8.66/6.16 inference(modus_ponens,[status(thm)],[9857, 9856])).
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% 8.66/6.16 inference(unit_resolution,[status(thm)],[9858, 9342, 141])).
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
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% 8.66/6.16 inference(quant_inst,[status(thm)],[])).
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% 8.66/6.16 inference(modus_ponens,[status(thm)],[9862, 9861])).
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
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% 8.66/6.16 inference(monotonicity,[status(thm)],[9866])).
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% 8.66/6.16 inference(transitivity,[status(thm)],[9867, 9865])).
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% 8.66/6.16 inference(quant_inst,[status(thm)],[])).
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
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% 8.66/6.16 inference(quant_inst,[status(thm)],[])).
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% 8.66/6.16 inference(modus_ponens,[status(thm)],[9874, 9873])).
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
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% 8.66/6.16 inference(quant_inst,[status(thm)],[])).
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% 8.66/6.16 inference(modus_ponens,[status(thm)],[9879, 9878])).
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
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% 8.66/6.16 inference(monotonicity,[status(thm)],[9883])).
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% 8.66/6.16 inference(transitivity,[status(thm)],[9884, 9882])).
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
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% 8.66/6.16 inference(monotonicity,[status(thm)],[9917])).
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% 8.66/6.16 inference(transitivity,[status(thm)],[9918, 9916])).
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
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% 8.66/6.16 inference(transitivity,[status(thm)],[9935, 9933])).
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
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% 8.66/6.16 inference(monotonicity,[status(thm)],[9985])).
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% 8.66/6.16 inference(transitivity,[status(thm)],[9986, 9984])).
% 8.66/6.16 tff(9988,plain,
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% 8.66/6.16 inference(quant_inst,[status(thm)],[])).
% 8.66/6.16 tff(9989,plain,
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% 8.66/6.16 inference(modus_ponens,[status(thm)],[9988, 9987])).
% 8.66/6.16 tff(9990,plain,
% 8.66/6.16 (xuntil6(s83) | (~until5(s83))),
% 8.66/6.16 inference(unit_resolution,[status(thm)],[9989, 36, 9983])).
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% 8.66/6.16 (xuntil6(s83)),
% 8.66/6.16 inference(unit_resolution,[status(thm)],[9990, 9979])).
% 8.66/6.16 tff(9992,plain,
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
% 8.66/6.16 tff(9993,plain,
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% 8.66/6.16 inference(quant_inst,[status(thm)],[])).
% 8.66/6.16 tff(9994,plain,
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% 8.66/6.16 inference(modus_ponens,[status(thm)],[9993, 9992])).
% 8.66/6.16 tff(9995,plain,
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% 8.66/6.16 inference(unit_resolution,[status(thm)],[9994, 9246, 141])).
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% 8.66/6.16 inference(unit_resolution,[status(thm)],[9995, 9991])).
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
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% 8.66/6.16 inference(quant_inst,[status(thm)],[])).
% 8.66/6.16 tff(9999,plain,
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% 8.66/6.16 inference(modus_ponens,[status(thm)],[9998, 9997])).
% 8.66/6.16 tff(10000,plain,
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% 8.66/6.16 inference(unit_resolution,[status(thm)],[9999, 22, 9243])).
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
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% 8.66/6.16 ((node4(s84) | (~until5(s84)) | xuntil6(s84)) <=> (xuntil6(s84) | node4(s84) | (~until5(s84)))),
% 8.66/6.16 inference(rewrite,[status(thm)],[])).
% 8.66/6.16 tff(10003,plain,
% 8.66/6.16 (((~![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))))),
% 8.66/6.16 inference(monotonicity,[status(thm)],[10002])).
% 8.66/6.16 tff(10004,plain,
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% 8.66/6.16 inference(transitivity,[status(thm)],[10003, 10001])).
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% 8.66/6.16 inference(quant_inst,[status(thm)],[])).
% 8.66/6.16 tff(10006,plain,
% 8.66/6.16 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s84) | node4(s84) | (~until5(s84))),
% 8.66/6.16 inference(modus_ponens,[status(thm)],[10005, 10004])).
% 8.66/6.16 tff(10007,plain,
% 8.66/6.16 (xuntil6(s84) | (~until5(s84))),
% 8.66/6.16 inference(unit_resolution,[status(thm)],[10006, 36, 10000])).
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% 8.66/6.16 (xuntil6(s84)),
% 8.66/6.16 inference(unit_resolution,[status(thm)],[10007, 9996])).
% 8.66/6.16 tff(10009,plain,
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
% 8.66/6.16 tff(10010,plain,
% 8.66/6.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s84, s85)) | (~xuntil6(s84)) | until5(s85))),
% 8.66/6.16 inference(quant_inst,[status(thm)],[])).
% 8.66/6.16 tff(10011,plain,
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% 8.66/6.16 inference(modus_ponens,[status(thm)],[10010, 10009])).
% 8.66/6.16 tff(10012,plain,
% 8.66/6.16 ((~xuntil6(s84)) | until5(s85)),
% 8.66/6.16 inference(unit_resolution,[status(thm)],[10011, 9234, 141])).
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% 8.66/6.16 (until5(s85)),
% 8.66/6.16 inference(unit_resolution,[status(thm)],[10012, 10008])).
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
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% 8.66/6.16 inference(quant_inst,[status(thm)],[])).
% 8.66/6.16 tff(10016,plain,
% 8.66/6.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s85) | (~node4(s85))),
% 8.66/6.16 inference(modus_ponens,[status(thm)],[10015, 10014])).
% 8.66/6.16 tff(10017,plain,
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% 8.66/6.16 inference(unit_resolution,[status(thm)],[10016, 22, 9231])).
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
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% 8.66/6.16 ((node4(s85) | (~until5(s85)) | xuntil6(s85)) <=> (xuntil6(s85) | node4(s85) | (~until5(s85)))),
% 8.66/6.16 inference(rewrite,[status(thm)],[])).
% 8.66/6.16 tff(10020,plain,
% 8.66/6.16 (((~![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))))),
% 8.66/6.16 inference(monotonicity,[status(thm)],[10019])).
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% 8.66/6.16 inference(transitivity,[status(thm)],[10020, 10018])).
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% 8.66/6.16 inference(quant_inst,[status(thm)],[])).
% 8.66/6.16 tff(10023,plain,
% 8.66/6.16 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s85) | node4(s85) | (~until5(s85))),
% 8.66/6.16 inference(modus_ponens,[status(thm)],[10022, 10021])).
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% 8.66/6.16 (xuntil6(s85) | (~until5(s85))),
% 8.66/6.16 inference(unit_resolution,[status(thm)],[10023, 36, 10017])).
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% 8.66/6.16 (xuntil6(s85)),
% 8.66/6.16 inference(unit_resolution,[status(thm)],[10024, 10013])).
% 8.66/6.16 tff(10026,plain,
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
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% 8.66/6.16 inference(quant_inst,[status(thm)],[])).
% 8.66/6.16 tff(10028,plain,
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% 8.66/6.16 inference(modus_ponens,[status(thm)],[10027, 10026])).
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% 8.66/6.16 inference(unit_resolution,[status(thm)],[10028, 9222, 141])).
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% 8.66/6.16 inference(unit_resolution,[status(thm)],[10029, 10025])).
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
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% 8.66/6.16 inference(quant_inst,[status(thm)],[])).
% 8.66/6.16 tff(10033,plain,
% 8.66/6.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s86) | (~node4(s86))),
% 8.66/6.16 inference(modus_ponens,[status(thm)],[10032, 10031])).
% 8.66/6.16 tff(10034,plain,
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% 8.66/6.16 inference(unit_resolution,[status(thm)],[10033, 22, 9219])).
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
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% 8.66/6.16 ((node4(s86) | (~until5(s86)) | xuntil6(s86)) <=> (xuntil6(s86) | node4(s86) | (~until5(s86)))),
% 8.66/6.16 inference(rewrite,[status(thm)],[])).
% 8.66/6.16 tff(10037,plain,
% 8.66/6.16 (((~![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))))),
% 8.66/6.16 inference(monotonicity,[status(thm)],[10036])).
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% 8.66/6.16 inference(transitivity,[status(thm)],[10037, 10035])).
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% 8.66/6.16 inference(quant_inst,[status(thm)],[])).
% 8.66/6.16 tff(10040,plain,
% 8.66/6.16 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s86) | node4(s86) | (~until5(s86))),
% 8.66/6.16 inference(modus_ponens,[status(thm)],[10039, 10038])).
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% 8.66/6.16 (xuntil6(s86) | (~until5(s86))),
% 8.66/6.16 inference(unit_resolution,[status(thm)],[10040, 36, 10034])).
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% 8.66/6.16 (xuntil6(s86)),
% 8.66/6.16 inference(unit_resolution,[status(thm)],[10041, 10030])).
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
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% 8.66/6.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s86, s87)) | (~xuntil6(s86)) | until5(s87))),
% 8.66/6.16 inference(quant_inst,[status(thm)],[])).
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% 8.66/6.16 inference(modus_ponens,[status(thm)],[10044, 10043])).
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% 8.66/6.16 inference(unit_resolution,[status(thm)],[10045, 9210, 141])).
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% 8.66/6.16 inference(unit_resolution,[status(thm)],[10046, 10042])).
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% 8.66/6.16 inference(rewrite,[status(thm)],[])).
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% 8.66/6.16 inference(quant_inst,[status(thm)],[])).
% 8.66/6.16 tff(10050,plain,
% 8.66/6.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s87) | (~node4(s87))),
% 8.66/6.16 inference(modus_ponens,[status(thm)],[10049, 10048])).
% 8.66/6.17 tff(10051,plain,
% 8.66/6.17 (~node4(s87)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10050, 22, 9207])).
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% 8.66/6.17 inference(rewrite,[status(thm)],[])).
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% 8.66/6.17 ((node4(s87) | (~until5(s87)) | xuntil6(s87)) <=> (xuntil6(s87) | node4(s87) | (~until5(s87)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10054,plain,
% 8.66/6.17 (((~![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))))),
% 8.66/6.17 inference(monotonicity,[status(thm)],[10053])).
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% 8.66/6.17 inference(transitivity,[status(thm)],[10054, 10052])).
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% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10057,plain,
% 8.66/6.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s87) | node4(s87) | (~until5(s87))),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10056, 10055])).
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% 8.66/6.17 (xuntil6(s87) | (~until5(s87))),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10057, 36, 10051])).
% 8.66/6.17 tff(10059,plain,
% 8.66/6.17 (xuntil6(s87)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10058, 10047])).
% 8.66/6.17 tff(10060,plain,
% 8.66/6.17 (((~![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))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10061,plain,
% 8.66/6.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s87, s88)) | (~xuntil6(s87)) | until5(s88))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10062,plain,
% 8.66/6.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s87, s88)) | (~xuntil6(s87)) | until5(s88)),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10061, 10060])).
% 8.66/6.17 tff(10063,plain,
% 8.66/6.17 ((~xuntil6(s87)) | until5(s88)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10062, 9198, 141])).
% 8.66/6.17 tff(10064,plain,
% 8.66/6.17 (until5(s88)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10063, 10059])).
% 8.66/6.17 tff(10065,plain,
% 8.66/6.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s88) | (~node4(s88)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s88) | (~node4(s88)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10066,plain,
% 8.66/6.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s88) | (~node4(s88)))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10067,plain,
% 8.66/6.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s88) | (~node4(s88))),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10066, 10065])).
% 8.66/6.17 tff(10068,plain,
% 8.66/6.17 (~node4(s88)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10067, 22, 9195])).
% 8.66/6.17 tff(10069,plain,
% 8.66/6.17 (((~![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)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10070,plain,
% 8.66/6.17 ((node4(s88) | (~until5(s88)) | xuntil6(s88)) <=> (xuntil6(s88) | node4(s88) | (~until5(s88)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10071,plain,
% 8.66/6.17 (((~![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))))),
% 8.66/6.17 inference(monotonicity,[status(thm)],[10070])).
% 8.66/6.17 tff(10072,plain,
% 8.66/6.17 (((~![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)))),
% 8.66/6.17 inference(transitivity,[status(thm)],[10071, 10069])).
% 8.66/6.17 tff(10073,plain,
% 8.66/6.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s88) | (~until5(s88)) | xuntil6(s88))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10074,plain,
% 8.66/6.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s88) | node4(s88) | (~until5(s88))),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10073, 10072])).
% 8.66/6.17 tff(10075,plain,
% 8.66/6.17 (xuntil6(s88) | (~until5(s88))),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10074, 36, 10068])).
% 8.66/6.17 tff(10076,plain,
% 8.66/6.17 (xuntil6(s88)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10075, 10064])).
% 8.66/6.17 tff(10077,plain,
% 8.66/6.17 (((~![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))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10078,plain,
% 8.66/6.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s88, s89)) | (~xuntil6(s88)) | until5(s89))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10079,plain,
% 8.66/6.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s88, s89)) | (~xuntil6(s88)) | until5(s89)),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10078, 10077])).
% 8.66/6.17 tff(10080,plain,
% 8.66/6.17 ((~xuntil6(s88)) | until5(s89)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10079, 9186, 141])).
% 8.66/6.17 tff(10081,plain,
% 8.66/6.17 (until5(s89)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10080, 10076])).
% 8.66/6.17 tff(10082,plain,
% 8.66/6.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s89) | (~node4(s89)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s89) | (~node4(s89)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10083,plain,
% 8.66/6.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s89) | (~node4(s89)))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10084,plain,
% 8.66/6.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s89) | (~node4(s89))),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10083, 10082])).
% 8.66/6.17 tff(10085,plain,
% 8.66/6.17 (~node4(s89)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10084, 22, 9183])).
% 8.66/6.17 tff(10086,plain,
% 8.66/6.17 (((~![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)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10087,plain,
% 8.66/6.17 ((node4(s89) | (~until5(s89)) | xuntil6(s89)) <=> (xuntil6(s89) | node4(s89) | (~until5(s89)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10088,plain,
% 8.66/6.17 (((~![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))))),
% 8.66/6.17 inference(monotonicity,[status(thm)],[10087])).
% 8.66/6.17 tff(10089,plain,
% 8.66/6.17 (((~![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)))),
% 8.66/6.17 inference(transitivity,[status(thm)],[10088, 10086])).
% 8.66/6.17 tff(10090,plain,
% 8.66/6.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s89) | (~until5(s89)) | xuntil6(s89))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10091,plain,
% 8.66/6.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s89) | node4(s89) | (~until5(s89))),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10090, 10089])).
% 8.66/6.17 tff(10092,plain,
% 8.66/6.17 (xuntil6(s89) | (~until5(s89))),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10091, 36, 10085])).
% 8.66/6.17 tff(10093,plain,
% 8.66/6.17 (xuntil6(s89)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10092, 10081])).
% 8.66/6.17 tff(10094,plain,
% 8.66/6.17 (((~![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))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10095,plain,
% 8.66/6.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s89, s90)) | (~xuntil6(s89)) | until5(s90))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10096,plain,
% 8.66/6.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s89, s90)) | (~xuntil6(s89)) | until5(s90)),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10095, 10094])).
% 8.66/6.17 tff(10097,plain,
% 8.66/6.17 ((~xuntil6(s89)) | until5(s90)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10096, 9174, 141])).
% 8.66/6.17 tff(10098,plain,
% 8.66/6.17 (until5(s90)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10097, 10093])).
% 8.66/6.17 tff(10099,plain,
% 8.66/6.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s90) | (~node4(s90)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s90) | (~node4(s90)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10100,plain,
% 8.66/6.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s90) | (~node4(s90)))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10101,plain,
% 8.66/6.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s90) | (~node4(s90))),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10100, 10099])).
% 8.66/6.17 tff(10102,plain,
% 8.66/6.17 (~node4(s90)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10101, 22, 9171])).
% 8.66/6.17 tff(10103,plain,
% 8.66/6.17 (((~![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)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10104,plain,
% 8.66/6.17 ((node4(s90) | (~until5(s90)) | xuntil6(s90)) <=> (xuntil6(s90) | node4(s90) | (~until5(s90)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10105,plain,
% 8.66/6.17 (((~![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))))),
% 8.66/6.17 inference(monotonicity,[status(thm)],[10104])).
% 8.66/6.17 tff(10106,plain,
% 8.66/6.17 (((~![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)))),
% 8.66/6.17 inference(transitivity,[status(thm)],[10105, 10103])).
% 8.66/6.17 tff(10107,plain,
% 8.66/6.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s90) | (~until5(s90)) | xuntil6(s90))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10108,plain,
% 8.66/6.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s90) | node4(s90) | (~until5(s90))),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10107, 10106])).
% 8.66/6.17 tff(10109,plain,
% 8.66/6.17 (xuntil6(s90) | (~until5(s90))),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10108, 36, 10102])).
% 8.66/6.17 tff(10110,plain,
% 8.66/6.17 (xuntil6(s90)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10109, 10098])).
% 8.66/6.17 tff(10111,plain,
% 8.66/6.17 (((~![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))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10112,plain,
% 8.66/6.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s90, s91)) | (~xuntil6(s90)) | until5(s91))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10113,plain,
% 8.66/6.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s90, s91)) | (~xuntil6(s90)) | until5(s91)),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10112, 10111])).
% 8.66/6.17 tff(10114,plain,
% 8.66/6.17 ((~xuntil6(s90)) | until5(s91)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10113, 9162, 141])).
% 8.66/6.17 tff(10115,plain,
% 8.66/6.17 (until5(s91)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10114, 10110])).
% 8.66/6.17 tff(10116,plain,
% 8.66/6.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s91) | (~node4(s91)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s91) | (~node4(s91)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10117,plain,
% 8.66/6.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s91) | (~node4(s91)))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10118,plain,
% 8.66/6.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s91) | (~node4(s91))),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10117, 10116])).
% 8.66/6.17 tff(10119,plain,
% 8.66/6.17 (~node4(s91)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10118, 22, 9159])).
% 8.66/6.17 tff(10120,plain,
% 8.66/6.17 (((~![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)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10121,plain,
% 8.66/6.17 ((node4(s91) | (~until5(s91)) | xuntil6(s91)) <=> (xuntil6(s91) | node4(s91) | (~until5(s91)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10122,plain,
% 8.66/6.17 (((~![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))))),
% 8.66/6.17 inference(monotonicity,[status(thm)],[10121])).
% 8.66/6.17 tff(10123,plain,
% 8.66/6.17 (((~![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)))),
% 8.66/6.17 inference(transitivity,[status(thm)],[10122, 10120])).
% 8.66/6.17 tff(10124,plain,
% 8.66/6.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s91) | (~until5(s91)) | xuntil6(s91))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10125,plain,
% 8.66/6.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s91) | node4(s91) | (~until5(s91))),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10124, 10123])).
% 8.66/6.17 tff(10126,plain,
% 8.66/6.17 (xuntil6(s91) | (~until5(s91))),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10125, 36, 10119])).
% 8.66/6.17 tff(10127,plain,
% 8.66/6.17 (xuntil6(s91)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10126, 10115])).
% 8.66/6.17 tff(10128,plain,
% 8.66/6.17 (((~![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))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10129,plain,
% 8.66/6.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s91, s92)) | (~xuntil6(s91)) | until5(s92))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10130,plain,
% 8.66/6.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s91, s92)) | (~xuntil6(s91)) | until5(s92)),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10129, 10128])).
% 8.66/6.17 tff(10131,plain,
% 8.66/6.17 ((~xuntil6(s91)) | until5(s92)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10130, 9150, 141])).
% 8.66/6.17 tff(10132,plain,
% 8.66/6.17 (until5(s92)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10131, 10127])).
% 8.66/6.17 tff(10133,plain,
% 8.66/6.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s92) | (~node4(s92)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s92) | (~node4(s92)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10134,plain,
% 8.66/6.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s92) | (~node4(s92)))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10135,plain,
% 8.66/6.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s92) | (~node4(s92))),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10134, 10133])).
% 8.66/6.17 tff(10136,plain,
% 8.66/6.17 (~node4(s92)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10135, 22, 9147])).
% 8.66/6.17 tff(10137,plain,
% 8.66/6.17 (((~![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)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10138,plain,
% 8.66/6.17 ((node4(s92) | (~until5(s92)) | xuntil6(s92)) <=> (xuntil6(s92) | node4(s92) | (~until5(s92)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10139,plain,
% 8.66/6.17 (((~![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))))),
% 8.66/6.17 inference(monotonicity,[status(thm)],[10138])).
% 8.66/6.17 tff(10140,plain,
% 8.66/6.17 (((~![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)))),
% 8.66/6.17 inference(transitivity,[status(thm)],[10139, 10137])).
% 8.66/6.17 tff(10141,plain,
% 8.66/6.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s92) | (~until5(s92)) | xuntil6(s92))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10142,plain,
% 8.66/6.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s92) | node4(s92) | (~until5(s92))),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10141, 10140])).
% 8.66/6.17 tff(10143,plain,
% 8.66/6.17 (xuntil6(s92) | (~until5(s92))),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10142, 36, 10136])).
% 8.66/6.17 tff(10144,plain,
% 8.66/6.17 (xuntil6(s92)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10143, 10132])).
% 8.66/6.17 tff(10145,plain,
% 8.66/6.17 (((~![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))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10146,plain,
% 8.66/6.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s92, s93)) | (~xuntil6(s92)) | until5(s93))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10147,plain,
% 8.66/6.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s92, s93)) | (~xuntil6(s92)) | until5(s93)),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10146, 10145])).
% 8.66/6.17 tff(10148,plain,
% 8.66/6.17 ((~xuntil6(s92)) | until5(s93)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10147, 9138, 141])).
% 8.66/6.17 tff(10149,plain,
% 8.66/6.17 (until5(s93)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10148, 10144])).
% 8.66/6.17 tff(10150,plain,
% 8.66/6.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s93) | (~node4(s93)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s93) | (~node4(s93)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10151,plain,
% 8.66/6.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s93) | (~node4(s93)))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10152,plain,
% 8.66/6.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s93) | (~node4(s93))),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10151, 10150])).
% 8.66/6.17 tff(10153,plain,
% 8.66/6.17 (~node4(s93)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10152, 22, 9135])).
% 8.66/6.17 tff(10154,plain,
% 8.66/6.17 (((~![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)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10155,plain,
% 8.66/6.17 ((node4(s93) | (~until5(s93)) | xuntil6(s93)) <=> (xuntil6(s93) | node4(s93) | (~until5(s93)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10156,plain,
% 8.66/6.17 (((~![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))))),
% 8.66/6.17 inference(monotonicity,[status(thm)],[10155])).
% 8.66/6.17 tff(10157,plain,
% 8.66/6.17 (((~![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)))),
% 8.66/6.17 inference(transitivity,[status(thm)],[10156, 10154])).
% 8.66/6.17 tff(10158,plain,
% 8.66/6.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s93) | (~until5(s93)) | xuntil6(s93))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10159,plain,
% 8.66/6.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s93) | node4(s93) | (~until5(s93))),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10158, 10157])).
% 8.66/6.17 tff(10160,plain,
% 8.66/6.17 (xuntil6(s93) | (~until5(s93))),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10159, 36, 10153])).
% 8.66/6.17 tff(10161,plain,
% 8.66/6.17 (xuntil6(s93)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10160, 10149])).
% 8.66/6.17 tff(10162,plain,
% 8.66/6.17 (((~![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))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10163,plain,
% 8.66/6.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s93, s94)) | (~xuntil6(s93)) | until5(s94))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10164,plain,
% 8.66/6.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s93, s94)) | (~xuntil6(s93)) | until5(s94)),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10163, 10162])).
% 8.66/6.17 tff(10165,plain,
% 8.66/6.17 ((~xuntil6(s93)) | until5(s94)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10164, 9126, 141])).
% 8.66/6.17 tff(10166,plain,
% 8.66/6.17 (until5(s94)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10165, 10161])).
% 8.66/6.17 tff(10167,plain,
% 8.66/6.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s94) | (~node4(s94)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s94) | (~node4(s94)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10168,plain,
% 8.66/6.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s94) | (~node4(s94)))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10169,plain,
% 8.66/6.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s94) | (~node4(s94))),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10168, 10167])).
% 8.66/6.17 tff(10170,plain,
% 8.66/6.17 (~node4(s94)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10169, 22, 9123])).
% 8.66/6.17 tff(10171,plain,
% 8.66/6.17 (((~![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)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10172,plain,
% 8.66/6.17 ((node4(s94) | (~until5(s94)) | xuntil6(s94)) <=> (xuntil6(s94) | node4(s94) | (~until5(s94)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10173,plain,
% 8.66/6.17 (((~![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))))),
% 8.66/6.17 inference(monotonicity,[status(thm)],[10172])).
% 8.66/6.17 tff(10174,plain,
% 8.66/6.17 (((~![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)))),
% 8.66/6.17 inference(transitivity,[status(thm)],[10173, 10171])).
% 8.66/6.17 tff(10175,plain,
% 8.66/6.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s94) | (~until5(s94)) | xuntil6(s94))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10176,plain,
% 8.66/6.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s94) | node4(s94) | (~until5(s94))),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10175, 10174])).
% 8.66/6.17 tff(10177,plain,
% 8.66/6.17 (xuntil6(s94) | (~until5(s94))),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10176, 36, 10170])).
% 8.66/6.17 tff(10178,plain,
% 8.66/6.17 (xuntil6(s94)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10177, 10166])).
% 8.66/6.17 tff(10179,plain,
% 8.66/6.17 (((~![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))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10180,plain,
% 8.66/6.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s94, s95)) | (~xuntil6(s94)) | until5(s95))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10181,plain,
% 8.66/6.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s94, s95)) | (~xuntil6(s94)) | until5(s95)),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10180, 10179])).
% 8.66/6.17 tff(10182,plain,
% 8.66/6.17 ((~xuntil6(s94)) | until5(s95)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10181, 9114, 141])).
% 8.66/6.17 tff(10183,plain,
% 8.66/6.17 (until5(s95)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10182, 10178])).
% 8.66/6.17 tff(10184,plain,
% 8.66/6.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s95) | (~node4(s95)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s95) | (~node4(s95)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10185,plain,
% 8.66/6.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s95) | (~node4(s95)))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10186,plain,
% 8.66/6.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s95) | (~node4(s95))),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10185, 10184])).
% 8.66/6.17 tff(10187,plain,
% 8.66/6.17 (~node4(s95)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10186, 22, 9111])).
% 8.66/6.17 tff(10188,plain,
% 8.66/6.17 (((~![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)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10189,plain,
% 8.66/6.17 ((node4(s95) | (~until5(s95)) | xuntil6(s95)) <=> (xuntil6(s95) | node4(s95) | (~until5(s95)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10190,plain,
% 8.66/6.17 (((~![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))))),
% 8.66/6.17 inference(monotonicity,[status(thm)],[10189])).
% 8.66/6.17 tff(10191,plain,
% 8.66/6.17 (((~![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)))),
% 8.66/6.17 inference(transitivity,[status(thm)],[10190, 10188])).
% 8.66/6.17 tff(10192,plain,
% 8.66/6.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s95) | (~until5(s95)) | xuntil6(s95))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10193,plain,
% 8.66/6.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s95) | node4(s95) | (~until5(s95))),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10192, 10191])).
% 8.66/6.17 tff(10194,plain,
% 8.66/6.17 (xuntil6(s95) | (~until5(s95))),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10193, 36, 10187])).
% 8.66/6.17 tff(10195,plain,
% 8.66/6.17 (xuntil6(s95)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10194, 10183])).
% 8.66/6.17 tff(10196,plain,
% 8.66/6.17 (((~![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))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10197,plain,
% 8.66/6.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s95, s96)) | (~xuntil6(s95)) | until5(s96))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10198,plain,
% 8.66/6.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s95, s96)) | (~xuntil6(s95)) | until5(s96)),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10197, 10196])).
% 8.66/6.17 tff(10199,plain,
% 8.66/6.17 ((~xuntil6(s95)) | until5(s96)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10198, 9102, 141])).
% 8.66/6.17 tff(10200,plain,
% 8.66/6.17 (until5(s96)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10199, 10195])).
% 8.66/6.17 tff(10201,plain,
% 8.66/6.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s96) | (~node4(s96)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s96) | (~node4(s96)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10202,plain,
% 8.66/6.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s96) | (~node4(s96)))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(10203,plain,
% 8.66/6.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s96) | (~node4(s96))),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[10202, 10201])).
% 8.66/6.17 tff(10204,plain,
% 8.66/6.17 (~node4(s96)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[10203, 22, 9099])).
% 8.66/6.17 tff(10205,plain,
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% 8.66/6.17 inference(rewrite,[status(thm)],[])).
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% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(10207,plain,
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% 8.66/6.17 inference(monotonicity,[status(thm)],[10206])).
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% 8.66/6.17 inference(transitivity,[status(thm)],[10207, 10205])).
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% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
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% 8.66/6.17 inference(unit_resolution,[status(thm)],[10211, 10200])).
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% 8.66/6.17 inference(rewrite,[status(thm)],[])).
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% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
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% 8.66/6.17 inference(modus_ponens,[status(thm)],[10214, 10213])).
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% 8.66/6.17 inference(rewrite,[status(thm)],[])).
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% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
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% 8.66/6.17 inference(rewrite,[status(thm)],[])).
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% 8.66/6.17 inference(rewrite,[status(thm)],[])).
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% 8.66/6.17 inference(monotonicity,[status(thm)],[10223])).
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% 8.66/6.17 inference(transitivity,[status(thm)],[10224, 10222])).
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% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
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% 8.66/6.17 inference(rewrite,[status(thm)],[])).
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% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
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% 8.66/6.17 inference(modus_ponens,[status(thm)],[10231, 10230])).
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% 8.66/6.18 inference(rewrite,[status(thm)],[])).
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% 8.66/6.18 inference(rewrite,[status(thm)],[])).
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% 8.66/6.18 inference(monotonicity,[status(thm)],[10274])).
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% 8.66/6.18 (((~![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)))),
% 8.66/6.18 inference(transitivity,[status(thm)],[10275, 10273])).
% 8.66/6.18 tff(10277,plain,
% 8.66/6.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s100) | (~until5(s100)) | xuntil6(s100))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(10278,plain,
% 8.66/6.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s100) | node4(s100) | (~until5(s100))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[10277, 10276])).
% 8.66/6.18 tff(10279,plain,
% 8.66/6.18 (xuntil6(s100) | (~until5(s100))),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10278, 36, 10272])).
% 8.66/6.18 tff(10280,plain,
% 8.66/6.18 (xuntil6(s100)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10279, 10268])).
% 8.66/6.18 tff(10281,plain,
% 8.66/6.18 (((~![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))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(10282,plain,
% 8.66/6.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s100, s101)) | (~xuntil6(s100)) | until5(s101))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(10283,plain,
% 8.66/6.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s100, s101)) | (~xuntil6(s100)) | until5(s101)),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[10282, 10281])).
% 8.66/6.18 tff(10284,plain,
% 8.66/6.18 ((~xuntil6(s100)) | until5(s101)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10283, 9042, 141])).
% 8.66/6.18 tff(10285,plain,
% 8.66/6.18 (until5(s101)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10284, 10280])).
% 8.66/6.18 tff(10286,plain,
% 8.66/6.18 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s101) | (~node4(s101)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s101) | (~node4(s101)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(10287,plain,
% 8.66/6.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s101) | (~node4(s101)))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(10288,plain,
% 8.66/6.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s101) | (~node4(s101))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[10287, 10286])).
% 8.66/6.18 tff(10289,plain,
% 8.66/6.18 (~node4(s101)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10288, 22, 9039])).
% 8.66/6.18 tff(10290,plain,
% 8.66/6.18 (((~![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)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(10291,plain,
% 8.66/6.18 ((node4(s101) | (~until5(s101)) | xuntil6(s101)) <=> (xuntil6(s101) | node4(s101) | (~until5(s101)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(10292,plain,
% 8.66/6.18 (((~![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))))),
% 8.66/6.18 inference(monotonicity,[status(thm)],[10291])).
% 8.66/6.18 tff(10293,plain,
% 8.66/6.18 (((~![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)))),
% 8.66/6.18 inference(transitivity,[status(thm)],[10292, 10290])).
% 8.66/6.18 tff(10294,plain,
% 8.66/6.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s101) | (~until5(s101)) | xuntil6(s101))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(10295,plain,
% 8.66/6.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s101) | node4(s101) | (~until5(s101))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[10294, 10293])).
% 8.66/6.18 tff(10296,plain,
% 8.66/6.18 (xuntil6(s101) | (~until5(s101))),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10295, 36, 10289])).
% 8.66/6.18 tff(10297,plain,
% 8.66/6.18 (xuntil6(s101)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10296, 10285])).
% 8.66/6.18 tff(10298,plain,
% 8.66/6.18 (((~![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))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(10299,plain,
% 8.66/6.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s101, s102)) | (~xuntil6(s101)) | until5(s102))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(10300,plain,
% 8.66/6.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s101, s102)) | (~xuntil6(s101)) | until5(s102)),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[10299, 10298])).
% 8.66/6.18 tff(10301,plain,
% 8.66/6.18 ((~xuntil6(s101)) | until5(s102)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10300, 9030, 141])).
% 8.66/6.18 tff(10302,plain,
% 8.66/6.18 (until5(s102)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10301, 10297])).
% 8.66/6.18 tff(10303,plain,
% 8.66/6.18 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s102) | (~node4(s102)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s102) | (~node4(s102)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(10304,plain,
% 8.66/6.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s102) | (~node4(s102)))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(10305,plain,
% 8.66/6.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s102) | (~node4(s102))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[10304, 10303])).
% 8.66/6.18 tff(10306,plain,
% 8.66/6.18 (~node4(s102)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10305, 22, 9027])).
% 8.66/6.18 tff(10307,plain,
% 8.66/6.18 (((~![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)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(10308,plain,
% 8.66/6.18 ((node4(s102) | (~until5(s102)) | xuntil6(s102)) <=> (xuntil6(s102) | node4(s102) | (~until5(s102)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(10309,plain,
% 8.66/6.18 (((~![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))))),
% 8.66/6.18 inference(monotonicity,[status(thm)],[10308])).
% 8.66/6.18 tff(10310,plain,
% 8.66/6.18 (((~![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)))),
% 8.66/6.18 inference(transitivity,[status(thm)],[10309, 10307])).
% 8.66/6.18 tff(10311,plain,
% 8.66/6.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s102) | (~until5(s102)) | xuntil6(s102))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(10312,plain,
% 8.66/6.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s102) | node4(s102) | (~until5(s102))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[10311, 10310])).
% 8.66/6.18 tff(10313,plain,
% 8.66/6.18 (xuntil6(s102) | (~until5(s102))),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10312, 36, 10306])).
% 8.66/6.18 tff(10314,plain,
% 8.66/6.18 (xuntil6(s102)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10313, 10302])).
% 8.66/6.18 tff(10315,plain,
% 8.66/6.18 (((~![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))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(10316,plain,
% 8.66/6.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s102, s103)) | (~xuntil6(s102)) | until5(s103))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(10317,plain,
% 8.66/6.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s102, s103)) | (~xuntil6(s102)) | until5(s103)),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[10316, 10315])).
% 8.66/6.18 tff(10318,plain,
% 8.66/6.18 ((~xuntil6(s102)) | until5(s103)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10317, 9018, 141])).
% 8.66/6.18 tff(10319,plain,
% 8.66/6.18 (until5(s103)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10318, 10314])).
% 8.66/6.18 tff(10320,plain,
% 8.66/6.18 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s103) | (~node4(s103)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s103) | (~node4(s103)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(10321,plain,
% 8.66/6.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s103) | (~node4(s103)))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(10322,plain,
% 8.66/6.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s103) | (~node4(s103))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[10321, 10320])).
% 8.66/6.18 tff(10323,plain,
% 8.66/6.18 (~node4(s103)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10322, 22, 9015])).
% 8.66/6.18 tff(10324,plain,
% 8.66/6.18 (((~![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)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(10325,plain,
% 8.66/6.18 ((node4(s103) | (~until5(s103)) | xuntil6(s103)) <=> (xuntil6(s103) | node4(s103) | (~until5(s103)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(10326,plain,
% 8.66/6.18 (((~![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))))),
% 8.66/6.18 inference(monotonicity,[status(thm)],[10325])).
% 8.66/6.18 tff(10327,plain,
% 8.66/6.18 (((~![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)))),
% 8.66/6.18 inference(transitivity,[status(thm)],[10326, 10324])).
% 8.66/6.18 tff(10328,plain,
% 8.66/6.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s103) | (~until5(s103)) | xuntil6(s103))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(10329,plain,
% 8.66/6.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s103) | node4(s103) | (~until5(s103))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[10328, 10327])).
% 8.66/6.18 tff(10330,plain,
% 8.66/6.18 (xuntil6(s103) | (~until5(s103))),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10329, 36, 10323])).
% 8.66/6.18 tff(10331,plain,
% 8.66/6.18 (xuntil6(s103)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10330, 10319])).
% 8.66/6.18 tff(10332,plain,
% 8.66/6.18 (((~![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))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(10333,plain,
% 8.66/6.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s103, s104)) | (~xuntil6(s103)) | until5(s104))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(10334,plain,
% 8.66/6.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s103, s104)) | (~xuntil6(s103)) | until5(s104)),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[10333, 10332])).
% 8.66/6.18 tff(10335,plain,
% 8.66/6.18 ((~xuntil6(s103)) | until5(s104)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10334, 9006, 141])).
% 8.66/6.18 tff(10336,plain,
% 8.66/6.18 (until5(s104)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10335, 10331])).
% 8.66/6.18 tff(10337,plain,
% 8.66/6.18 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s104) | (~node4(s104)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s104) | (~node4(s104)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(10338,plain,
% 8.66/6.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s104) | (~node4(s104)))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(10339,plain,
% 8.66/6.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s104) | (~node4(s104))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[10338, 10337])).
% 8.66/6.18 tff(10340,plain,
% 8.66/6.18 (~node4(s104)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10339, 22, 9003])).
% 8.66/6.18 tff(10341,plain,
% 8.66/6.18 (((~![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)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(10342,plain,
% 8.66/6.18 ((node4(s104) | (~until5(s104)) | xuntil6(s104)) <=> (xuntil6(s104) | node4(s104) | (~until5(s104)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(10343,plain,
% 8.66/6.18 (((~![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))))),
% 8.66/6.18 inference(monotonicity,[status(thm)],[10342])).
% 8.66/6.18 tff(10344,plain,
% 8.66/6.18 (((~![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)))),
% 8.66/6.18 inference(transitivity,[status(thm)],[10343, 10341])).
% 8.66/6.18 tff(10345,plain,
% 8.66/6.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s104) | (~until5(s104)) | xuntil6(s104))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(10346,plain,
% 8.66/6.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s104) | node4(s104) | (~until5(s104))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[10345, 10344])).
% 8.66/6.18 tff(10347,plain,
% 8.66/6.18 (xuntil6(s104) | (~until5(s104))),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10346, 36, 10340])).
% 8.66/6.18 tff(10348,plain,
% 8.66/6.18 (xuntil6(s104)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10347, 10336])).
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% 8.66/6.18 inference(rewrite,[status(thm)],[])).
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% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
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% 8.66/6.18 inference(modus_ponens,[status(thm)],[10350, 10349])).
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% 8.66/6.18 inference(unit_resolution,[status(thm)],[10351, 8994, 141])).
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% 8.66/6.18 inference(unit_resolution,[status(thm)],[10352, 10348])).
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% 8.66/6.18 inference(rewrite,[status(thm)],[])).
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% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
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% 8.66/6.18 inference(modus_ponens,[status(thm)],[10355, 10354])).
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% 8.66/6.18 inference(unit_resolution,[status(thm)],[10356, 22, 8991])).
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% 8.66/6.18 inference(rewrite,[status(thm)],[])).
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% 8.66/6.18 ((node4(s105) | (~until5(s105)) | xuntil6(s105)) <=> (xuntil6(s105) | node4(s105) | (~until5(s105)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(10360,plain,
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% 8.66/6.18 inference(monotonicity,[status(thm)],[10359])).
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% 8.66/6.18 inference(transitivity,[status(thm)],[10360, 10358])).
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% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(10363,plain,
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% 8.66/6.18 inference(modus_ponens,[status(thm)],[10362, 10361])).
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% 8.66/6.18 inference(unit_resolution,[status(thm)],[10363, 36, 10357])).
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% 8.66/6.18 inference(unit_resolution,[status(thm)],[10364, 10353])).
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% 8.66/6.18 inference(rewrite,[status(thm)],[])).
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% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(10368,plain,
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% 8.66/6.18 inference(modus_ponens,[status(thm)],[10367, 10366])).
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% 8.66/6.18 inference(unit_resolution,[status(thm)],[10368, 8982, 141])).
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% 8.66/6.18 inference(unit_resolution,[status(thm)],[10369, 10365])).
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% 8.66/6.18 inference(rewrite,[status(thm)],[])).
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% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(10373,plain,
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% 8.66/6.18 inference(modus_ponens,[status(thm)],[10372, 10371])).
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% 8.66/6.18 inference(unit_resolution,[status(thm)],[10373, 22, 8979])).
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% 8.66/6.18 inference(rewrite,[status(thm)],[])).
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% 8.66/6.18 inference(rewrite,[status(thm)],[])).
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% 8.66/6.18 inference(monotonicity,[status(thm)],[10376])).
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% 8.66/6.18 inference(transitivity,[status(thm)],[10377, 10375])).
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% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
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% 8.66/6.18 inference(modus_ponens,[status(thm)],[10379, 10378])).
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% 8.66/6.18 inference(unit_resolution,[status(thm)],[10380, 36, 10374])).
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% 8.66/6.18 inference(unit_resolution,[status(thm)],[10381, 10370])).
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% 8.66/6.18 inference(rewrite,[status(thm)],[])).
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% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
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% 8.66/6.18 inference(modus_ponens,[status(thm)],[10384, 10383])).
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% 8.66/6.18 inference(unit_resolution,[status(thm)],[10385, 8970, 141])).
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% 8.66/6.18 inference(unit_resolution,[status(thm)],[10386, 10382])).
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% 8.66/6.18 inference(rewrite,[status(thm)],[])).
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% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
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% 8.66/6.18 inference(modus_ponens,[status(thm)],[10389, 10388])).
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% 8.66/6.18 inference(unit_resolution,[status(thm)],[10390, 22, 8967])).
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% 8.66/6.18 inference(rewrite,[status(thm)],[])).
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% 8.66/6.18 inference(rewrite,[status(thm)],[])).
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% 8.66/6.18 inference(monotonicity,[status(thm)],[10393])).
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% 8.66/6.18 inference(transitivity,[status(thm)],[10394, 10392])).
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% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
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% 8.66/6.18 inference(unit_resolution,[status(thm)],[10397, 36, 10391])).
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% 8.66/6.18 inference(rewrite,[status(thm)],[])).
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% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
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% 8.66/6.18 inference(modus_ponens,[status(thm)],[10401, 10400])).
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% 8.66/6.18 inference(unit_resolution,[status(thm)],[10402, 8958, 141])).
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% 8.66/6.18 inference(rewrite,[status(thm)],[])).
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% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(10407,plain,
% 8.66/6.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s108) | (~node4(s108))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[10406, 10405])).
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% 8.66/6.18 inference(unit_resolution,[status(thm)],[10407, 22, 8955])).
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% 8.66/6.18 (((~![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)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(10410,plain,
% 8.66/6.18 ((node4(s108) | (~until5(s108)) | xuntil6(s108)) <=> (xuntil6(s108) | node4(s108) | (~until5(s108)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(10411,plain,
% 8.66/6.18 (((~![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))))),
% 8.66/6.18 inference(monotonicity,[status(thm)],[10410])).
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% 8.66/6.18 inference(transitivity,[status(thm)],[10411, 10409])).
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% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(10414,plain,
% 8.66/6.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s108) | node4(s108) | (~until5(s108))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[10413, 10412])).
% 8.66/6.18 tff(10415,plain,
% 8.66/6.18 (xuntil6(s108) | (~until5(s108))),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10414, 36, 10408])).
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% 8.66/6.18 inference(unit_resolution,[status(thm)],[10415, 10404])).
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% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(10418,plain,
% 8.66/6.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s108, s109)) | (~xuntil6(s108)) | until5(s109))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(10419,plain,
% 8.66/6.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s108, s109)) | (~xuntil6(s108)) | until5(s109)),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[10418, 10417])).
% 8.66/6.18 tff(10420,plain,
% 8.66/6.18 ((~xuntil6(s108)) | until5(s109)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10419, 8946, 141])).
% 8.66/6.18 tff(10421,plain,
% 8.66/6.18 (until5(s109)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10420, 10416])).
% 8.66/6.18 tff(10422,plain,
% 8.66/6.18 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s109) | (~node4(s109)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s109) | (~node4(s109)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(10423,plain,
% 8.66/6.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s109) | (~node4(s109)))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(10424,plain,
% 8.66/6.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s109) | (~node4(s109))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[10423, 10422])).
% 8.66/6.18 tff(10425,plain,
% 8.66/6.18 (~node4(s109)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[10424, 22, 8943])).
% 8.66/6.18 tff(10426,plain,
% 8.66/6.18 (((~![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)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(10427,plain,
% 8.66/6.18 ((node4(s109) | (~until5(s109)) | xuntil6(s109)) <=> (xuntil6(s109) | node4(s109) | (~until5(s109)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(10428,plain,
% 8.66/6.18 (((~![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))))),
% 8.66/6.19 inference(monotonicity,[status(thm)],[10427])).
% 8.66/6.19 tff(10429,plain,
% 8.66/6.19 (((~![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)))),
% 8.66/6.19 inference(transitivity,[status(thm)],[10428, 10426])).
% 8.66/6.19 tff(10430,plain,
% 8.66/6.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s109) | (~until5(s109)) | xuntil6(s109))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10431,plain,
% 8.66/6.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s109) | node4(s109) | (~until5(s109))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10430, 10429])).
% 8.66/6.19 tff(10432,plain,
% 8.66/6.19 (xuntil6(s109) | (~until5(s109))),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10431, 36, 10425])).
% 8.66/6.19 tff(10433,plain,
% 8.66/6.19 (xuntil6(s109)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10432, 10421])).
% 8.66/6.19 tff(10434,plain,
% 8.66/6.19 (((~![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))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10435,plain,
% 8.66/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s109, s110)) | (~xuntil6(s109)) | until5(s110))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10436,plain,
% 8.66/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s109, s110)) | (~xuntil6(s109)) | until5(s110)),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10435, 10434])).
% 8.66/6.19 tff(10437,plain,
% 8.66/6.19 ((~xuntil6(s109)) | until5(s110)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10436, 8934, 141])).
% 8.66/6.19 tff(10438,plain,
% 8.66/6.19 (until5(s110)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10437, 10433])).
% 8.66/6.19 tff(10439,plain,
% 8.66/6.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s110) | (~node4(s110)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s110) | (~node4(s110)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10440,plain,
% 8.66/6.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s110) | (~node4(s110)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10441,plain,
% 8.66/6.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s110) | (~node4(s110))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10440, 10439])).
% 8.66/6.19 tff(10442,plain,
% 8.66/6.19 (~node4(s110)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10441, 22, 8931])).
% 8.66/6.19 tff(10443,plain,
% 8.66/6.19 (((~![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)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10444,plain,
% 8.66/6.19 ((node4(s110) | (~until5(s110)) | xuntil6(s110)) <=> (xuntil6(s110) | node4(s110) | (~until5(s110)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10445,plain,
% 8.66/6.19 (((~![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))))),
% 8.66/6.19 inference(monotonicity,[status(thm)],[10444])).
% 8.66/6.19 tff(10446,plain,
% 8.66/6.19 (((~![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)))),
% 8.66/6.19 inference(transitivity,[status(thm)],[10445, 10443])).
% 8.66/6.19 tff(10447,plain,
% 8.66/6.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s110) | (~until5(s110)) | xuntil6(s110))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10448,plain,
% 8.66/6.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s110) | node4(s110) | (~until5(s110))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10447, 10446])).
% 8.66/6.19 tff(10449,plain,
% 8.66/6.19 (xuntil6(s110) | (~until5(s110))),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10448, 36, 10442])).
% 8.66/6.19 tff(10450,plain,
% 8.66/6.19 (xuntil6(s110)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10449, 10438])).
% 8.66/6.19 tff(10451,plain,
% 8.66/6.19 (((~![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))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10452,plain,
% 8.66/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s110, s111)) | (~xuntil6(s110)) | until5(s111))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10453,plain,
% 8.66/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s110, s111)) | (~xuntil6(s110)) | until5(s111)),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10452, 10451])).
% 8.66/6.19 tff(10454,plain,
% 8.66/6.19 ((~xuntil6(s110)) | until5(s111)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10453, 8922, 141])).
% 8.66/6.19 tff(10455,plain,
% 8.66/6.19 (until5(s111)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10454, 10450])).
% 8.66/6.19 tff(10456,plain,
% 8.66/6.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s111) | (~node4(s111)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s111) | (~node4(s111)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10457,plain,
% 8.66/6.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s111) | (~node4(s111)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10458,plain,
% 8.66/6.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s111) | (~node4(s111))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10457, 10456])).
% 8.66/6.19 tff(10459,plain,
% 8.66/6.19 (~node4(s111)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10458, 22, 8919])).
% 8.66/6.19 tff(10460,plain,
% 8.66/6.19 (((~![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)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10461,plain,
% 8.66/6.19 ((node4(s111) | (~until5(s111)) | xuntil6(s111)) <=> (xuntil6(s111) | node4(s111) | (~until5(s111)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10462,plain,
% 8.66/6.19 (((~![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))))),
% 8.66/6.19 inference(monotonicity,[status(thm)],[10461])).
% 8.66/6.19 tff(10463,plain,
% 8.66/6.19 (((~![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)))),
% 8.66/6.19 inference(transitivity,[status(thm)],[10462, 10460])).
% 8.66/6.19 tff(10464,plain,
% 8.66/6.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s111) | (~until5(s111)) | xuntil6(s111))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10465,plain,
% 8.66/6.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s111) | node4(s111) | (~until5(s111))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10464, 10463])).
% 8.66/6.19 tff(10466,plain,
% 8.66/6.19 (xuntil6(s111) | (~until5(s111))),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10465, 36, 10459])).
% 8.66/6.19 tff(10467,plain,
% 8.66/6.19 (xuntil6(s111)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10466, 10455])).
% 8.66/6.19 tff(10468,plain,
% 8.66/6.19 (((~![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))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10469,plain,
% 8.66/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s111, s112)) | (~xuntil6(s111)) | until5(s112))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10470,plain,
% 8.66/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s111, s112)) | (~xuntil6(s111)) | until5(s112)),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10469, 10468])).
% 8.66/6.19 tff(10471,plain,
% 8.66/6.19 ((~xuntil6(s111)) | until5(s112)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10470, 8910, 141])).
% 8.66/6.19 tff(10472,plain,
% 8.66/6.19 (until5(s112)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10471, 10467])).
% 8.66/6.19 tff(10473,plain,
% 8.66/6.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s112) | (~node4(s112)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s112) | (~node4(s112)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10474,plain,
% 8.66/6.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s112) | (~node4(s112)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10475,plain,
% 8.66/6.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s112) | (~node4(s112))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10474, 10473])).
% 8.66/6.19 tff(10476,plain,
% 8.66/6.19 (~node4(s112)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10475, 22, 8907])).
% 8.66/6.19 tff(10477,plain,
% 8.66/6.19 (((~![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)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10478,plain,
% 8.66/6.19 ((node4(s112) | (~until5(s112)) | xuntil6(s112)) <=> (xuntil6(s112) | node4(s112) | (~until5(s112)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10479,plain,
% 8.66/6.19 (((~![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))))),
% 8.66/6.19 inference(monotonicity,[status(thm)],[10478])).
% 8.66/6.19 tff(10480,plain,
% 8.66/6.19 (((~![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)))),
% 8.66/6.19 inference(transitivity,[status(thm)],[10479, 10477])).
% 8.66/6.19 tff(10481,plain,
% 8.66/6.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s112) | (~until5(s112)) | xuntil6(s112))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10482,plain,
% 8.66/6.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s112) | node4(s112) | (~until5(s112))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10481, 10480])).
% 8.66/6.19 tff(10483,plain,
% 8.66/6.19 (xuntil6(s112) | (~until5(s112))),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10482, 36, 10476])).
% 8.66/6.19 tff(10484,plain,
% 8.66/6.19 (xuntil6(s112)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10483, 10472])).
% 8.66/6.19 tff(10485,plain,
% 8.66/6.19 (((~![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))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10486,plain,
% 8.66/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s112, s113)) | (~xuntil6(s112)) | until5(s113))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10487,plain,
% 8.66/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s112, s113)) | (~xuntil6(s112)) | until5(s113)),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10486, 10485])).
% 8.66/6.19 tff(10488,plain,
% 8.66/6.19 ((~xuntil6(s112)) | until5(s113)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10487, 8898, 141])).
% 8.66/6.19 tff(10489,plain,
% 8.66/6.19 (until5(s113)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10488, 10484])).
% 8.66/6.19 tff(10490,plain,
% 8.66/6.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s113) | (~node4(s113)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s113) | (~node4(s113)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10491,plain,
% 8.66/6.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s113) | (~node4(s113)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10492,plain,
% 8.66/6.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s113) | (~node4(s113))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10491, 10490])).
% 8.66/6.19 tff(10493,plain,
% 8.66/6.19 (~node4(s113)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10492, 22, 8895])).
% 8.66/6.19 tff(10494,plain,
% 8.66/6.19 (((~![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)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10495,plain,
% 8.66/6.19 ((node4(s113) | (~until5(s113)) | xuntil6(s113)) <=> (xuntil6(s113) | node4(s113) | (~until5(s113)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10496,plain,
% 8.66/6.19 (((~![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))))),
% 8.66/6.19 inference(monotonicity,[status(thm)],[10495])).
% 8.66/6.19 tff(10497,plain,
% 8.66/6.19 (((~![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)))),
% 8.66/6.19 inference(transitivity,[status(thm)],[10496, 10494])).
% 8.66/6.19 tff(10498,plain,
% 8.66/6.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s113) | (~until5(s113)) | xuntil6(s113))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10499,plain,
% 8.66/6.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s113) | node4(s113) | (~until5(s113))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10498, 10497])).
% 8.66/6.19 tff(10500,plain,
% 8.66/6.19 (xuntil6(s113) | (~until5(s113))),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10499, 36, 10493])).
% 8.66/6.19 tff(10501,plain,
% 8.66/6.19 (xuntil6(s113)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10500, 10489])).
% 8.66/6.19 tff(10502,plain,
% 8.66/6.19 (((~![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))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10503,plain,
% 8.66/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s113, s114)) | (~xuntil6(s113)) | until5(s114))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10504,plain,
% 8.66/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s113, s114)) | (~xuntil6(s113)) | until5(s114)),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10503, 10502])).
% 8.66/6.19 tff(10505,plain,
% 8.66/6.19 ((~xuntil6(s113)) | until5(s114)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10504, 8886, 141])).
% 8.66/6.19 tff(10506,plain,
% 8.66/6.19 (until5(s114)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10505, 10501])).
% 8.66/6.19 tff(10507,plain,
% 8.66/6.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s114) | (~node4(s114)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s114) | (~node4(s114)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10508,plain,
% 8.66/6.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s114) | (~node4(s114)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10509,plain,
% 8.66/6.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s114) | (~node4(s114))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10508, 10507])).
% 8.66/6.19 tff(10510,plain,
% 8.66/6.19 (~node4(s114)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10509, 22, 8883])).
% 8.66/6.19 tff(10511,plain,
% 8.66/6.19 (((~![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)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10512,plain,
% 8.66/6.19 ((node4(s114) | (~until5(s114)) | xuntil6(s114)) <=> (xuntil6(s114) | node4(s114) | (~until5(s114)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10513,plain,
% 8.66/6.19 (((~![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))))),
% 8.66/6.19 inference(monotonicity,[status(thm)],[10512])).
% 8.66/6.19 tff(10514,plain,
% 8.66/6.19 (((~![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)))),
% 8.66/6.19 inference(transitivity,[status(thm)],[10513, 10511])).
% 8.66/6.19 tff(10515,plain,
% 8.66/6.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s114) | (~until5(s114)) | xuntil6(s114))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10516,plain,
% 8.66/6.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s114) | node4(s114) | (~until5(s114))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10515, 10514])).
% 8.66/6.19 tff(10517,plain,
% 8.66/6.19 (xuntil6(s114) | (~until5(s114))),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10516, 36, 10510])).
% 8.66/6.19 tff(10518,plain,
% 8.66/6.19 (xuntil6(s114)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10517, 10506])).
% 8.66/6.19 tff(10519,plain,
% 8.66/6.19 (((~![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))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10520,plain,
% 8.66/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s114, s115)) | (~xuntil6(s114)) | until5(s115))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10521,plain,
% 8.66/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s114, s115)) | (~xuntil6(s114)) | until5(s115)),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10520, 10519])).
% 8.66/6.19 tff(10522,plain,
% 8.66/6.19 ((~xuntil6(s114)) | until5(s115)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10521, 8874, 141])).
% 8.66/6.19 tff(10523,plain,
% 8.66/6.19 (until5(s115)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10522, 10518])).
% 8.66/6.19 tff(10524,plain,
% 8.66/6.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s115) | (~node4(s115)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s115) | (~node4(s115)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10525,plain,
% 8.66/6.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s115) | (~node4(s115)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10526,plain,
% 8.66/6.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s115) | (~node4(s115))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10525, 10524])).
% 8.66/6.19 tff(10527,plain,
% 8.66/6.19 (~node4(s115)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10526, 22, 8871])).
% 8.66/6.19 tff(10528,plain,
% 8.66/6.19 (((~![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)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10529,plain,
% 8.66/6.19 ((node4(s115) | (~until5(s115)) | xuntil6(s115)) <=> (xuntil6(s115) | node4(s115) | (~until5(s115)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10530,plain,
% 8.66/6.19 (((~![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))))),
% 8.66/6.19 inference(monotonicity,[status(thm)],[10529])).
% 8.66/6.19 tff(10531,plain,
% 8.66/6.19 (((~![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)))),
% 8.66/6.19 inference(transitivity,[status(thm)],[10530, 10528])).
% 8.66/6.19 tff(10532,plain,
% 8.66/6.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s115) | (~until5(s115)) | xuntil6(s115))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10533,plain,
% 8.66/6.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s115) | node4(s115) | (~until5(s115))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10532, 10531])).
% 8.66/6.19 tff(10534,plain,
% 8.66/6.19 (xuntil6(s115) | (~until5(s115))),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10533, 36, 10527])).
% 8.66/6.19 tff(10535,plain,
% 8.66/6.19 (xuntil6(s115)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10534, 10523])).
% 8.66/6.19 tff(10536,plain,
% 8.66/6.19 (((~![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))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10537,plain,
% 8.66/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s115, s116)) | (~xuntil6(s115)) | until5(s116))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10538,plain,
% 8.66/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s115, s116)) | (~xuntil6(s115)) | until5(s116)),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10537, 10536])).
% 8.66/6.19 tff(10539,plain,
% 8.66/6.19 ((~xuntil6(s115)) | until5(s116)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10538, 8862, 141])).
% 8.66/6.19 tff(10540,plain,
% 8.66/6.19 (until5(s116)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10539, 10535])).
% 8.66/6.19 tff(10541,plain,
% 8.66/6.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s116) | (~node4(s116)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s116) | (~node4(s116)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10542,plain,
% 8.66/6.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s116) | (~node4(s116)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10543,plain,
% 8.66/6.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s116) | (~node4(s116))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10542, 10541])).
% 8.66/6.19 tff(10544,plain,
% 8.66/6.19 (~node4(s116)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10543, 22, 8859])).
% 8.66/6.19 tff(10545,plain,
% 8.66/6.19 (((~![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)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10546,plain,
% 8.66/6.19 ((node4(s116) | (~until5(s116)) | xuntil6(s116)) <=> (xuntil6(s116) | node4(s116) | (~until5(s116)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10547,plain,
% 8.66/6.19 (((~![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))))),
% 8.66/6.19 inference(monotonicity,[status(thm)],[10546])).
% 8.66/6.19 tff(10548,plain,
% 8.66/6.19 (((~![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)))),
% 8.66/6.19 inference(transitivity,[status(thm)],[10547, 10545])).
% 8.66/6.19 tff(10549,plain,
% 8.66/6.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s116) | (~until5(s116)) | xuntil6(s116))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10550,plain,
% 8.66/6.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s116) | node4(s116) | (~until5(s116))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10549, 10548])).
% 8.66/6.19 tff(10551,plain,
% 8.66/6.19 (xuntil6(s116) | (~until5(s116))),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10550, 36, 10544])).
% 8.66/6.19 tff(10552,plain,
% 8.66/6.19 (xuntil6(s116)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10551, 10540])).
% 8.66/6.19 tff(10553,plain,
% 8.66/6.19 (((~![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))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10554,plain,
% 8.66/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s116, s117)) | (~xuntil6(s116)) | until5(s117))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10555,plain,
% 8.66/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s116, s117)) | (~xuntil6(s116)) | until5(s117)),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10554, 10553])).
% 8.66/6.19 tff(10556,plain,
% 8.66/6.19 ((~xuntil6(s116)) | until5(s117)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10555, 8850, 141])).
% 8.66/6.19 tff(10557,plain,
% 8.66/6.19 (until5(s117)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10556, 10552])).
% 8.66/6.19 tff(10558,plain,
% 8.66/6.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s117) | (~node4(s117)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s117) | (~node4(s117)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10559,plain,
% 8.66/6.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s117) | (~node4(s117)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10560,plain,
% 8.66/6.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s117) | (~node4(s117))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10559, 10558])).
% 8.66/6.19 tff(10561,plain,
% 8.66/6.19 (~node4(s117)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10560, 22, 8847])).
% 8.66/6.19 tff(10562,plain,
% 8.66/6.19 (((~![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)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10563,plain,
% 8.66/6.19 ((node4(s117) | (~until5(s117)) | xuntil6(s117)) <=> (xuntil6(s117) | node4(s117) | (~until5(s117)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10564,plain,
% 8.66/6.19 (((~![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))))),
% 8.66/6.19 inference(monotonicity,[status(thm)],[10563])).
% 8.66/6.19 tff(10565,plain,
% 8.66/6.19 (((~![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)))),
% 8.66/6.19 inference(transitivity,[status(thm)],[10564, 10562])).
% 8.66/6.19 tff(10566,plain,
% 8.66/6.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s117) | (~until5(s117)) | xuntil6(s117))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10567,plain,
% 8.66/6.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s117) | node4(s117) | (~until5(s117))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10566, 10565])).
% 8.66/6.19 tff(10568,plain,
% 8.66/6.19 (xuntil6(s117) | (~until5(s117))),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10567, 36, 10561])).
% 8.66/6.19 tff(10569,plain,
% 8.66/6.19 (xuntil6(s117)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10568, 10557])).
% 8.66/6.19 tff(10570,plain,
% 8.66/6.19 (((~![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))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10571,plain,
% 8.66/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s117, s118)) | (~xuntil6(s117)) | until5(s118))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10572,plain,
% 8.66/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s117, s118)) | (~xuntil6(s117)) | until5(s118)),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10571, 10570])).
% 8.66/6.19 tff(10573,plain,
% 8.66/6.19 ((~xuntil6(s117)) | until5(s118)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10572, 8838, 141])).
% 8.66/6.19 tff(10574,plain,
% 8.66/6.19 (until5(s118)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10573, 10569])).
% 8.66/6.19 tff(10575,plain,
% 8.66/6.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s118) | (~node4(s118)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s118) | (~node4(s118)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10576,plain,
% 8.66/6.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s118) | (~node4(s118)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10577,plain,
% 8.66/6.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s118) | (~node4(s118))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10576, 10575])).
% 8.66/6.19 tff(10578,plain,
% 8.66/6.19 (~node4(s118)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10577, 22, 8835])).
% 8.66/6.19 tff(10579,plain,
% 8.66/6.19 (((~![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)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10580,plain,
% 8.66/6.19 ((node4(s118) | (~until5(s118)) | xuntil6(s118)) <=> (xuntil6(s118) | node4(s118) | (~until5(s118)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10581,plain,
% 8.66/6.19 (((~![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))))),
% 8.66/6.19 inference(monotonicity,[status(thm)],[10580])).
% 8.66/6.19 tff(10582,plain,
% 8.66/6.19 (((~![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)))),
% 8.66/6.19 inference(transitivity,[status(thm)],[10581, 10579])).
% 8.66/6.19 tff(10583,plain,
% 8.66/6.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s118) | (~until5(s118)) | xuntil6(s118))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10584,plain,
% 8.66/6.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s118) | node4(s118) | (~until5(s118))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10583, 10582])).
% 8.66/6.19 tff(10585,plain,
% 8.66/6.19 (xuntil6(s118) | (~until5(s118))),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10584, 36, 10578])).
% 8.66/6.19 tff(10586,plain,
% 8.66/6.19 (xuntil6(s118)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10585, 10574])).
% 8.66/6.19 tff(10587,plain,
% 8.66/6.19 (((~![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))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10588,plain,
% 8.66/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s118, s119)) | (~xuntil6(s118)) | until5(s119))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10589,plain,
% 8.66/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s118, s119)) | (~xuntil6(s118)) | until5(s119)),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10588, 10587])).
% 8.66/6.19 tff(10590,plain,
% 8.66/6.19 ((~xuntil6(s118)) | until5(s119)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10589, 8826, 141])).
% 8.66/6.19 tff(10591,plain,
% 8.66/6.19 (until5(s119)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10590, 10586])).
% 8.66/6.19 tff(10592,plain,
% 8.66/6.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s119) | (~node4(s119)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s119) | (~node4(s119)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10593,plain,
% 8.66/6.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s119) | (~node4(s119)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10594,plain,
% 8.66/6.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s119) | (~node4(s119))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10593, 10592])).
% 8.66/6.19 tff(10595,plain,
% 8.66/6.19 (~node4(s119)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10594, 22, 8823])).
% 8.66/6.19 tff(10596,plain,
% 8.66/6.19 (((~![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)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10597,plain,
% 8.66/6.19 ((node4(s119) | (~until5(s119)) | xuntil6(s119)) <=> (xuntil6(s119) | node4(s119) | (~until5(s119)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(10598,plain,
% 8.66/6.19 (((~![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))))),
% 8.66/6.19 inference(monotonicity,[status(thm)],[10597])).
% 8.66/6.19 tff(10599,plain,
% 8.66/6.19 (((~![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)))),
% 8.66/6.19 inference(transitivity,[status(thm)],[10598, 10596])).
% 8.66/6.19 tff(10600,plain,
% 8.66/6.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s119) | (~until5(s119)) | xuntil6(s119))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(10601,plain,
% 8.66/6.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s119) | node4(s119) | (~until5(s119))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[10600, 10599])).
% 8.66/6.19 tff(10602,plain,
% 8.66/6.19 (xuntil6(s119) | (~until5(s119))),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10601, 36, 10595])).
% 8.66/6.19 tff(10603,plain,
% 8.66/6.19 (xuntil6(s119)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[10602, 10591])).
% 8.76/6.19 tff(10604,plain,
% 8.76/6.19 (((~![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))),
% 8.76/6.19 inference(rewrite,[status(thm)],[])).
% 8.76/6.19 tff(10605,plain,
% 8.76/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s119, s120)) | (~xuntil6(s119)) | until5(s120))),
% 8.76/6.19 inference(quant_inst,[status(thm)],[])).
% 8.76/6.19 tff(10606,plain,
% 8.76/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s119, s120)) | (~xuntil6(s119)) | until5(s120)),
% 8.76/6.19 inference(modus_ponens,[status(thm)],[10605, 10604])).
% 8.76/6.19 tff(10607,plain,
% 8.76/6.19 ((~xuntil6(s119)) | until5(s120)),
% 8.76/6.19 inference(unit_resolution,[status(thm)],[10606, 8814, 141])).
% 8.76/6.19 tff(10608,plain,
% 8.76/6.19 (until5(s120)),
% 8.76/6.19 inference(unit_resolution,[status(thm)],[10607, 10603])).
% 8.76/6.19 tff(10609,plain,
% 8.76/6.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s120) | (~node4(s120)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s120) | (~node4(s120)))),
% 8.76/6.19 inference(rewrite,[status(thm)],[])).
% 8.76/6.19 tff(10610,plain,
% 8.76/6.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s120) | (~node4(s120)))),
% 8.76/6.19 inference(quant_inst,[status(thm)],[])).
% 8.76/6.19 tff(10611,plain,
% 8.76/6.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s120) | (~node4(s120))),
% 8.76/6.19 inference(modus_ponens,[status(thm)],[10610, 10609])).
% 8.76/6.19 tff(10612,plain,
% 8.76/6.19 (~node4(s120)),
% 8.76/6.19 inference(unit_resolution,[status(thm)],[10611, 22, 8811])).
% 8.76/6.19 tff(10613,plain,
% 8.76/6.19 (((~![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)))),
% 8.76/6.19 inference(rewrite,[status(thm)],[])).
% 8.76/6.19 tff(10614,plain,
% 8.76/6.19 ((node4(s120) | (~until5(s120)) | xuntil6(s120)) <=> (xuntil6(s120) | node4(s120) | (~until5(s120)))),
% 8.76/6.19 inference(rewrite,[status(thm)],[])).
% 8.76/6.19 tff(10615,plain,
% 8.76/6.19 (((~![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))))),
% 8.76/6.19 inference(monotonicity,[status(thm)],[10614])).
% 8.76/6.19 tff(10616,plain,
% 8.76/6.19 (((~![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)))),
% 8.76/6.19 inference(transitivity,[status(thm)],[10615, 10613])).
% 8.76/6.19 tff(10617,plain,
% 8.76/6.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s120) | (~until5(s120)) | xuntil6(s120))),
% 8.76/6.19 inference(quant_inst,[status(thm)],[])).
% 8.76/6.19 tff(10618,plain,
% 8.76/6.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s120) | node4(s120) | (~until5(s120))),
% 8.76/6.19 inference(modus_ponens,[status(thm)],[10617, 10616])).
% 8.76/6.19 tff(10619,plain,
% 8.76/6.19 (xuntil6(s120) | (~until5(s120))),
% 8.76/6.19 inference(unit_resolution,[status(thm)],[10618, 36, 10612])).
% 8.76/6.19 tff(10620,plain,
% 8.76/6.19 (xuntil6(s120)),
% 8.76/6.19 inference(unit_resolution,[status(thm)],[10619, 10608])).
% 8.76/6.19 tff(10621,plain,
% 8.76/6.19 (((~![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))),
% 8.76/6.19 inference(rewrite,[status(thm)],[])).
% 8.76/6.19 tff(10622,plain,
% 8.76/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s120, s121)) | (~xuntil6(s120)) | until5(s121))),
% 8.76/6.19 inference(quant_inst,[status(thm)],[])).
% 8.76/6.19 tff(10623,plain,
% 8.76/6.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s120, s121)) | (~xuntil6(s120)) | until5(s121)),
% 8.76/6.19 inference(modus_ponens,[status(thm)],[10622, 10621])).
% 8.76/6.19 tff(10624,plain,
% 8.76/6.19 ((~xuntil6(s120)) | until5(s121)),
% 8.76/6.19 inference(unit_resolution,[status(thm)],[10623, 8802, 141])).
% 8.76/6.19 tff(10625,plain,
% 8.76/6.19 (until5(s121)),
% 8.76/6.19 inference(unit_resolution,[status(thm)],[10624, 10620])).
% 8.76/6.20 tff(10626,plain,
% 8.76/6.20 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s121) | (~node4(s121)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s121) | (~node4(s121)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10627,plain,
% 8.76/6.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s121) | (~node4(s121)))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10628,plain,
% 8.76/6.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s121) | (~node4(s121))),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10627, 10626])).
% 8.76/6.20 tff(10629,plain,
% 8.76/6.20 (~node4(s121)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10628, 22, 8799])).
% 8.76/6.20 tff(10630,plain,
% 8.76/6.20 (((~![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)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10631,plain,
% 8.76/6.20 ((node4(s121) | (~until5(s121)) | xuntil6(s121)) <=> (xuntil6(s121) | node4(s121) | (~until5(s121)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10632,plain,
% 8.76/6.20 (((~![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))))),
% 8.76/6.20 inference(monotonicity,[status(thm)],[10631])).
% 8.76/6.20 tff(10633,plain,
% 8.76/6.20 (((~![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)))),
% 8.76/6.20 inference(transitivity,[status(thm)],[10632, 10630])).
% 8.76/6.20 tff(10634,plain,
% 8.76/6.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s121) | (~until5(s121)) | xuntil6(s121))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10635,plain,
% 8.76/6.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s121) | node4(s121) | (~until5(s121))),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10634, 10633])).
% 8.76/6.20 tff(10636,plain,
% 8.76/6.20 (xuntil6(s121) | (~until5(s121))),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10635, 36, 10629])).
% 8.76/6.20 tff(10637,plain,
% 8.76/6.20 (xuntil6(s121)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10636, 10625])).
% 8.76/6.20 tff(10638,plain,
% 8.76/6.20 (((~![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))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10639,plain,
% 8.76/6.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s121, s122)) | (~xuntil6(s121)) | until5(s122))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10640,plain,
% 8.76/6.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s121, s122)) | (~xuntil6(s121)) | until5(s122)),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10639, 10638])).
% 8.76/6.20 tff(10641,plain,
% 8.76/6.20 ((~xuntil6(s121)) | until5(s122)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10640, 8790, 141])).
% 8.76/6.20 tff(10642,plain,
% 8.76/6.20 (until5(s122)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10641, 10637])).
% 8.76/6.20 tff(10643,plain,
% 8.76/6.20 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s122) | (~node4(s122)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s122) | (~node4(s122)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10644,plain,
% 8.76/6.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s122) | (~node4(s122)))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10645,plain,
% 8.76/6.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s122) | (~node4(s122))),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10644, 10643])).
% 8.76/6.20 tff(10646,plain,
% 8.76/6.20 (~node4(s122)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10645, 22, 8787])).
% 8.76/6.20 tff(10647,plain,
% 8.76/6.20 (((~![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)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10648,plain,
% 8.76/6.20 ((node4(s122) | (~until5(s122)) | xuntil6(s122)) <=> (xuntil6(s122) | node4(s122) | (~until5(s122)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10649,plain,
% 8.76/6.20 (((~![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))))),
% 8.76/6.20 inference(monotonicity,[status(thm)],[10648])).
% 8.76/6.20 tff(10650,plain,
% 8.76/6.20 (((~![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)))),
% 8.76/6.20 inference(transitivity,[status(thm)],[10649, 10647])).
% 8.76/6.20 tff(10651,plain,
% 8.76/6.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s122) | (~until5(s122)) | xuntil6(s122))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10652,plain,
% 8.76/6.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s122) | node4(s122) | (~until5(s122))),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10651, 10650])).
% 8.76/6.20 tff(10653,plain,
% 8.76/6.20 (xuntil6(s122) | (~until5(s122))),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10652, 36, 10646])).
% 8.76/6.20 tff(10654,plain,
% 8.76/6.20 (xuntil6(s122)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10653, 10642])).
% 8.76/6.20 tff(10655,plain,
% 8.76/6.20 (((~![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))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10656,plain,
% 8.76/6.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s122, s123)) | (~xuntil6(s122)) | until5(s123))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10657,plain,
% 8.76/6.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s122, s123)) | (~xuntil6(s122)) | until5(s123)),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10656, 10655])).
% 8.76/6.20 tff(10658,plain,
% 8.76/6.20 ((~xuntil6(s122)) | until5(s123)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10657, 8778, 141])).
% 8.76/6.20 tff(10659,plain,
% 8.76/6.20 (until5(s123)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10658, 10654])).
% 8.76/6.20 tff(10660,plain,
% 8.76/6.20 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s123) | (~node4(s123)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s123) | (~node4(s123)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10661,plain,
% 8.76/6.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s123) | (~node4(s123)))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10662,plain,
% 8.76/6.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s123) | (~node4(s123))),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10661, 10660])).
% 8.76/6.20 tff(10663,plain,
% 8.76/6.20 (~node4(s123)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10662, 22, 8775])).
% 8.76/6.20 tff(10664,plain,
% 8.76/6.20 (((~![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)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10665,plain,
% 8.76/6.20 ((node4(s123) | (~until5(s123)) | xuntil6(s123)) <=> (xuntil6(s123) | node4(s123) | (~until5(s123)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10666,plain,
% 8.76/6.20 (((~![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))))),
% 8.76/6.20 inference(monotonicity,[status(thm)],[10665])).
% 8.76/6.20 tff(10667,plain,
% 8.76/6.20 (((~![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)))),
% 8.76/6.20 inference(transitivity,[status(thm)],[10666, 10664])).
% 8.76/6.20 tff(10668,plain,
% 8.76/6.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s123) | (~until5(s123)) | xuntil6(s123))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10669,plain,
% 8.76/6.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s123) | node4(s123) | (~until5(s123))),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10668, 10667])).
% 8.76/6.20 tff(10670,plain,
% 8.76/6.20 (xuntil6(s123) | (~until5(s123))),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10669, 36, 10663])).
% 8.76/6.20 tff(10671,plain,
% 8.76/6.20 (xuntil6(s123)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10670, 10659])).
% 8.76/6.20 tff(10672,plain,
% 8.76/6.20 (((~![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))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10673,plain,
% 8.76/6.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s123, s124)) | (~xuntil6(s123)) | until5(s124))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10674,plain,
% 8.76/6.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s123, s124)) | (~xuntil6(s123)) | until5(s124)),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10673, 10672])).
% 8.76/6.20 tff(10675,plain,
% 8.76/6.20 ((~xuntil6(s123)) | until5(s124)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10674, 8766, 141])).
% 8.76/6.20 tff(10676,plain,
% 8.76/6.20 (until5(s124)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10675, 10671])).
% 8.76/6.20 tff(10677,plain,
% 8.76/6.20 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s124) | (~node4(s124)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s124) | (~node4(s124)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10678,plain,
% 8.76/6.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s124) | (~node4(s124)))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10679,plain,
% 8.76/6.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s124) | (~node4(s124))),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10678, 10677])).
% 8.76/6.20 tff(10680,plain,
% 8.76/6.20 (~node4(s124)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10679, 22, 8763])).
% 8.76/6.20 tff(10681,plain,
% 8.76/6.20 (((~![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)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10682,plain,
% 8.76/6.20 ((node4(s124) | (~until5(s124)) | xuntil6(s124)) <=> (xuntil6(s124) | node4(s124) | (~until5(s124)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10683,plain,
% 8.76/6.20 (((~![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))))),
% 8.76/6.20 inference(monotonicity,[status(thm)],[10682])).
% 8.76/6.20 tff(10684,plain,
% 8.76/6.20 (((~![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)))),
% 8.76/6.20 inference(transitivity,[status(thm)],[10683, 10681])).
% 8.76/6.20 tff(10685,plain,
% 8.76/6.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s124) | (~until5(s124)) | xuntil6(s124))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10686,plain,
% 8.76/6.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s124) | node4(s124) | (~until5(s124))),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10685, 10684])).
% 8.76/6.20 tff(10687,plain,
% 8.76/6.20 (xuntil6(s124) | (~until5(s124))),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10686, 36, 10680])).
% 8.76/6.20 tff(10688,plain,
% 8.76/6.20 (xuntil6(s124)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10687, 10676])).
% 8.76/6.20 tff(10689,plain,
% 8.76/6.20 (((~![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))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10690,plain,
% 8.76/6.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s124, s125)) | (~xuntil6(s124)) | until5(s125))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10691,plain,
% 8.76/6.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s124, s125)) | (~xuntil6(s124)) | until5(s125)),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10690, 10689])).
% 8.76/6.20 tff(10692,plain,
% 8.76/6.20 ((~xuntil6(s124)) | until5(s125)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10691, 8754, 141])).
% 8.76/6.20 tff(10693,plain,
% 8.76/6.20 (until5(s125)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10692, 10688])).
% 8.76/6.20 tff(10694,plain,
% 8.76/6.20 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s125) | (~node4(s125)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s125) | (~node4(s125)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10695,plain,
% 8.76/6.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s125) | (~node4(s125)))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10696,plain,
% 8.76/6.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s125) | (~node4(s125))),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10695, 10694])).
% 8.76/6.20 tff(10697,plain,
% 8.76/6.20 (~node4(s125)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10696, 22, 8751])).
% 8.76/6.20 tff(10698,plain,
% 8.76/6.20 (((~![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)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10699,plain,
% 8.76/6.20 ((node4(s125) | (~until5(s125)) | xuntil6(s125)) <=> (xuntil6(s125) | node4(s125) | (~until5(s125)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10700,plain,
% 8.76/6.20 (((~![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))))),
% 8.76/6.20 inference(monotonicity,[status(thm)],[10699])).
% 8.76/6.20 tff(10701,plain,
% 8.76/6.20 (((~![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)))),
% 8.76/6.20 inference(transitivity,[status(thm)],[10700, 10698])).
% 8.76/6.20 tff(10702,plain,
% 8.76/6.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s125) | (~until5(s125)) | xuntil6(s125))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10703,plain,
% 8.76/6.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s125) | node4(s125) | (~until5(s125))),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10702, 10701])).
% 8.76/6.20 tff(10704,plain,
% 8.76/6.20 (xuntil6(s125) | (~until5(s125))),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10703, 36, 10697])).
% 8.76/6.20 tff(10705,plain,
% 8.76/6.20 (xuntil6(s125)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10704, 10693])).
% 8.76/6.20 tff(10706,plain,
% 8.76/6.20 (((~![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))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10707,plain,
% 8.76/6.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s125, s126)) | (~xuntil6(s125)) | until5(s126))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10708,plain,
% 8.76/6.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s125, s126)) | (~xuntil6(s125)) | until5(s126)),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10707, 10706])).
% 8.76/6.20 tff(10709,plain,
% 8.76/6.20 ((~xuntil6(s125)) | until5(s126)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10708, 8742, 141])).
% 8.76/6.20 tff(10710,plain,
% 8.76/6.20 (until5(s126)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10709, 10705])).
% 8.76/6.20 tff(10711,plain,
% 8.76/6.20 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s126) | (~node4(s126)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s126) | (~node4(s126)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10712,plain,
% 8.76/6.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s126) | (~node4(s126)))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10713,plain,
% 8.76/6.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s126) | (~node4(s126))),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10712, 10711])).
% 8.76/6.20 tff(10714,plain,
% 8.76/6.20 (~node4(s126)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10713, 22, 8739])).
% 8.76/6.20 tff(10715,plain,
% 8.76/6.20 (((~![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)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10716,plain,
% 8.76/6.20 ((node4(s126) | (~until5(s126)) | xuntil6(s126)) <=> (xuntil6(s126) | node4(s126) | (~until5(s126)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10717,plain,
% 8.76/6.20 (((~![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))))),
% 8.76/6.20 inference(monotonicity,[status(thm)],[10716])).
% 8.76/6.20 tff(10718,plain,
% 8.76/6.20 (((~![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)))),
% 8.76/6.20 inference(transitivity,[status(thm)],[10717, 10715])).
% 8.76/6.20 tff(10719,plain,
% 8.76/6.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s126) | (~until5(s126)) | xuntil6(s126))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10720,plain,
% 8.76/6.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s126) | node4(s126) | (~until5(s126))),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10719, 10718])).
% 8.76/6.20 tff(10721,plain,
% 8.76/6.20 (xuntil6(s126) | (~until5(s126))),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10720, 36, 10714])).
% 8.76/6.20 tff(10722,plain,
% 8.76/6.20 (xuntil6(s126)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10721, 10710])).
% 8.76/6.20 tff(10723,plain,
% 8.76/6.20 (((~![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))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10724,plain,
% 8.76/6.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s126, s127)) | (~xuntil6(s126)) | until5(s127))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10725,plain,
% 8.76/6.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s126, s127)) | (~xuntil6(s126)) | until5(s127)),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10724, 10723])).
% 8.76/6.20 tff(10726,plain,
% 8.76/6.20 ((~xuntil6(s126)) | until5(s127)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10725, 8730, 141])).
% 8.76/6.20 tff(10727,plain,
% 8.76/6.20 (until5(s127)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10726, 10722])).
% 8.76/6.20 tff(10728,plain,
% 8.76/6.20 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s127) | (~node4(s127)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s127) | (~node4(s127)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10729,plain,
% 8.76/6.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s127) | (~node4(s127)))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10730,plain,
% 8.76/6.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s127) | (~node4(s127))),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10729, 10728])).
% 8.76/6.20 tff(10731,plain,
% 8.76/6.20 (~node4(s127)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10730, 22, 8727])).
% 8.76/6.20 tff(10732,plain,
% 8.76/6.20 (((~![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)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10733,plain,
% 8.76/6.20 ((node4(s127) | (~until5(s127)) | xuntil6(s127)) <=> (xuntil6(s127) | node4(s127) | (~until5(s127)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10734,plain,
% 8.76/6.20 (((~![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))))),
% 8.76/6.20 inference(monotonicity,[status(thm)],[10733])).
% 8.76/6.20 tff(10735,plain,
% 8.76/6.20 (((~![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)))),
% 8.76/6.20 inference(transitivity,[status(thm)],[10734, 10732])).
% 8.76/6.20 tff(10736,plain,
% 8.76/6.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s127) | (~until5(s127)) | xuntil6(s127))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10737,plain,
% 8.76/6.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s127) | node4(s127) | (~until5(s127))),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10736, 10735])).
% 8.76/6.20 tff(10738,plain,
% 8.76/6.20 (xuntil6(s127) | (~until5(s127))),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10737, 36, 10731])).
% 8.76/6.20 tff(10739,plain,
% 8.76/6.20 (xuntil6(s127)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10738, 10727])).
% 8.76/6.20 tff(10740,plain,
% 8.76/6.20 (((~![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))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10741,plain,
% 8.76/6.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s127, s128)) | (~xuntil6(s127)) | until5(s128))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10742,plain,
% 8.76/6.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s127, s128)) | (~xuntil6(s127)) | until5(s128)),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10741, 10740])).
% 8.76/6.20 tff(10743,plain,
% 8.76/6.20 ((~xuntil6(s127)) | until5(s128)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10742, 8718, 141])).
% 8.76/6.20 tff(10744,plain,
% 8.76/6.20 (until5(s128)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10743, 10739])).
% 8.76/6.20 tff(10745,plain,
% 8.76/6.20 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s128) | (~node4(s128)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s128) | (~node4(s128)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10746,plain,
% 8.76/6.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s128) | (~node4(s128)))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10747,plain,
% 8.76/6.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s128) | (~node4(s128))),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10746, 10745])).
% 8.76/6.20 tff(10748,plain,
% 8.76/6.20 (~node4(s128)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10747, 22, 8715])).
% 8.76/6.20 tff(10749,plain,
% 8.76/6.20 (((~![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)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10750,plain,
% 8.76/6.20 ((node4(s128) | (~until5(s128)) | xuntil6(s128)) <=> (xuntil6(s128) | node4(s128) | (~until5(s128)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10751,plain,
% 8.76/6.20 (((~![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))))),
% 8.76/6.20 inference(monotonicity,[status(thm)],[10750])).
% 8.76/6.20 tff(10752,plain,
% 8.76/6.20 (((~![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)))),
% 8.76/6.20 inference(transitivity,[status(thm)],[10751, 10749])).
% 8.76/6.20 tff(10753,plain,
% 8.76/6.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s128) | (~until5(s128)) | xuntil6(s128))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10754,plain,
% 8.76/6.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s128) | node4(s128) | (~until5(s128))),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10753, 10752])).
% 8.76/6.20 tff(10755,plain,
% 8.76/6.20 (xuntil6(s128) | (~until5(s128))),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10754, 36, 10748])).
% 8.76/6.20 tff(10756,plain,
% 8.76/6.20 (xuntil6(s128)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10755, 10744])).
% 8.76/6.20 tff(10757,plain,
% 8.76/6.20 (((~![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))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10758,plain,
% 8.76/6.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s128, s129)) | (~xuntil6(s128)) | until5(s129))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10759,plain,
% 8.76/6.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s128, s129)) | (~xuntil6(s128)) | until5(s129)),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10758, 10757])).
% 8.76/6.20 tff(10760,plain,
% 8.76/6.20 ((~xuntil6(s128)) | until5(s129)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10759, 8706, 141])).
% 8.76/6.20 tff(10761,plain,
% 8.76/6.20 (until5(s129)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10760, 10756])).
% 8.76/6.20 tff(10762,plain,
% 8.76/6.20 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s129) | (~node4(s129)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s129) | (~node4(s129)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10763,plain,
% 8.76/6.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s129) | (~node4(s129)))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10764,plain,
% 8.76/6.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s129) | (~node4(s129))),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10763, 10762])).
% 8.76/6.20 tff(10765,plain,
% 8.76/6.20 (~node4(s129)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10764, 22, 8703])).
% 8.76/6.20 tff(10766,plain,
% 8.76/6.20 (((~![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)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10767,plain,
% 8.76/6.20 ((node4(s129) | (~until5(s129)) | xuntil6(s129)) <=> (xuntil6(s129) | node4(s129) | (~until5(s129)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10768,plain,
% 8.76/6.20 (((~![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))))),
% 8.76/6.20 inference(monotonicity,[status(thm)],[10767])).
% 8.76/6.20 tff(10769,plain,
% 8.76/6.20 (((~![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)))),
% 8.76/6.20 inference(transitivity,[status(thm)],[10768, 10766])).
% 8.76/6.20 tff(10770,plain,
% 8.76/6.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s129) | (~until5(s129)) | xuntil6(s129))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10771,plain,
% 8.76/6.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s129) | node4(s129) | (~until5(s129))),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10770, 10769])).
% 8.76/6.20 tff(10772,plain,
% 8.76/6.20 (xuntil6(s129) | (~until5(s129))),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10771, 36, 10765])).
% 8.76/6.20 tff(10773,plain,
% 8.76/6.20 (xuntil6(s129)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10772, 10761])).
% 8.76/6.20 tff(10774,plain,
% 8.76/6.20 (((~![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))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10775,plain,
% 8.76/6.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s129, s130)) | (~xuntil6(s129)) | until5(s130))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10776,plain,
% 8.76/6.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s129, s130)) | (~xuntil6(s129)) | until5(s130)),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10775, 10774])).
% 8.76/6.20 tff(10777,plain,
% 8.76/6.20 ((~xuntil6(s129)) | until5(s130)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10776, 8694, 141])).
% 8.76/6.20 tff(10778,plain,
% 8.76/6.20 (until5(s130)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10777, 10773])).
% 8.76/6.20 tff(10779,plain,
% 8.76/6.20 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s130) | (~node4(s130)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s130) | (~node4(s130)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10780,plain,
% 8.76/6.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s130) | (~node4(s130)))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10781,plain,
% 8.76/6.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s130) | (~node4(s130))),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10780, 10779])).
% 8.76/6.20 tff(10782,plain,
% 8.76/6.20 (~node4(s130)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10781, 22, 8691])).
% 8.76/6.20 tff(10783,plain,
% 8.76/6.20 (((~![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)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10784,plain,
% 8.76/6.20 ((node4(s130) | (~until5(s130)) | xuntil6(s130)) <=> (xuntil6(s130) | node4(s130) | (~until5(s130)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10785,plain,
% 8.76/6.20 (((~![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))))),
% 8.76/6.20 inference(monotonicity,[status(thm)],[10784])).
% 8.76/6.20 tff(10786,plain,
% 8.76/6.20 (((~![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)))),
% 8.76/6.20 inference(transitivity,[status(thm)],[10785, 10783])).
% 8.76/6.20 tff(10787,plain,
% 8.76/6.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s130) | (~until5(s130)) | xuntil6(s130))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10788,plain,
% 8.76/6.20 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s130) | node4(s130) | (~until5(s130))),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10787, 10786])).
% 8.76/6.20 tff(10789,plain,
% 8.76/6.20 (xuntil6(s130) | (~until5(s130))),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10788, 36, 10782])).
% 8.76/6.20 tff(10790,plain,
% 8.76/6.20 (xuntil6(s130)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10789, 10778])).
% 8.76/6.20 tff(10791,plain,
% 8.76/6.20 (((~![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))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10792,plain,
% 8.76/6.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s130, s131)) | (~xuntil6(s130)) | until5(s131))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10793,plain,
% 8.76/6.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s130, s131)) | (~xuntil6(s130)) | until5(s131)),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10792, 10791])).
% 8.76/6.20 tff(10794,plain,
% 8.76/6.20 ((~xuntil6(s130)) | until5(s131)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10793, 8682, 141])).
% 8.76/6.20 tff(10795,plain,
% 8.76/6.20 (until5(s131)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10794, 10790])).
% 8.76/6.20 tff(10796,plain,
% 8.76/6.20 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s131) | (~node4(s131)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s131) | (~node4(s131)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10797,plain,
% 8.76/6.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s131) | (~node4(s131)))),
% 8.76/6.20 inference(quant_inst,[status(thm)],[])).
% 8.76/6.20 tff(10798,plain,
% 8.76/6.20 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s131) | (~node4(s131))),
% 8.76/6.20 inference(modus_ponens,[status(thm)],[10797, 10796])).
% 8.76/6.20 tff(10799,plain,
% 8.76/6.20 (~node4(s131)),
% 8.76/6.20 inference(unit_resolution,[status(thm)],[10798, 22, 8679])).
% 8.76/6.20 tff(10800,plain,
% 8.76/6.20 (((~![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)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.20 tff(10801,plain,
% 8.76/6.20 ((node4(s131) | (~until5(s131)) | xuntil6(s131)) <=> (xuntil6(s131) | node4(s131) | (~until5(s131)))),
% 8.76/6.20 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10802,plain,
% 8.76/6.21 (((~![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))))),
% 8.76/6.21 inference(monotonicity,[status(thm)],[10801])).
% 8.76/6.21 tff(10803,plain,
% 8.76/6.21 (((~![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)))),
% 8.76/6.21 inference(transitivity,[status(thm)],[10802, 10800])).
% 8.76/6.21 tff(10804,plain,
% 8.76/6.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s131) | (~until5(s131)) | xuntil6(s131))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10805,plain,
% 8.76/6.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s131) | node4(s131) | (~until5(s131))),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10804, 10803])).
% 8.76/6.21 tff(10806,plain,
% 8.76/6.21 (xuntil6(s131) | (~until5(s131))),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10805, 36, 10799])).
% 8.76/6.21 tff(10807,plain,
% 8.76/6.21 (xuntil6(s131)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10806, 10795])).
% 8.76/6.21 tff(10808,plain,
% 8.76/6.21 (((~![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))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10809,plain,
% 8.76/6.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s131, s132)) | (~xuntil6(s131)) | until5(s132))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10810,plain,
% 8.76/6.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s131, s132)) | (~xuntil6(s131)) | until5(s132)),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10809, 10808])).
% 8.76/6.21 tff(10811,plain,
% 8.76/6.21 ((~xuntil6(s131)) | until5(s132)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10810, 8670, 141])).
% 8.76/6.21 tff(10812,plain,
% 8.76/6.21 (until5(s132)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10811, 10807])).
% 8.76/6.21 tff(10813,plain,
% 8.76/6.21 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s132) | (~node4(s132)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s132) | (~node4(s132)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10814,plain,
% 8.76/6.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s132) | (~node4(s132)))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10815,plain,
% 8.76/6.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s132) | (~node4(s132))),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10814, 10813])).
% 8.76/6.21 tff(10816,plain,
% 8.76/6.21 (~node4(s132)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10815, 22, 8667])).
% 8.76/6.21 tff(10817,plain,
% 8.76/6.21 (((~![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)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10818,plain,
% 8.76/6.21 ((node4(s132) | (~until5(s132)) | xuntil6(s132)) <=> (xuntil6(s132) | node4(s132) | (~until5(s132)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10819,plain,
% 8.76/6.21 (((~![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))))),
% 8.76/6.21 inference(monotonicity,[status(thm)],[10818])).
% 8.76/6.21 tff(10820,plain,
% 8.76/6.21 (((~![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)))),
% 8.76/6.21 inference(transitivity,[status(thm)],[10819, 10817])).
% 8.76/6.21 tff(10821,plain,
% 8.76/6.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s132) | (~until5(s132)) | xuntil6(s132))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10822,plain,
% 8.76/6.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s132) | node4(s132) | (~until5(s132))),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10821, 10820])).
% 8.76/6.21 tff(10823,plain,
% 8.76/6.21 (xuntil6(s132) | (~until5(s132))),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10822, 36, 10816])).
% 8.76/6.21 tff(10824,plain,
% 8.76/6.21 (xuntil6(s132)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10823, 10812])).
% 8.76/6.21 tff(10825,plain,
% 8.76/6.21 (((~![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))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10826,plain,
% 8.76/6.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s132, s133)) | (~xuntil6(s132)) | until5(s133))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10827,plain,
% 8.76/6.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s132, s133)) | (~xuntil6(s132)) | until5(s133)),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10826, 10825])).
% 8.76/6.21 tff(10828,plain,
% 8.76/6.21 ((~xuntil6(s132)) | until5(s133)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10827, 8658, 141])).
% 8.76/6.21 tff(10829,plain,
% 8.76/6.21 (until5(s133)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10828, 10824])).
% 8.76/6.21 tff(10830,plain,
% 8.76/6.21 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s133) | (~node4(s133)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s133) | (~node4(s133)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10831,plain,
% 8.76/6.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s133) | (~node4(s133)))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10832,plain,
% 8.76/6.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s133) | (~node4(s133))),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10831, 10830])).
% 8.76/6.21 tff(10833,plain,
% 8.76/6.21 (~node4(s133)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10832, 22, 8655])).
% 8.76/6.21 tff(10834,plain,
% 8.76/6.21 (((~![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)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10835,plain,
% 8.76/6.21 ((node4(s133) | (~until5(s133)) | xuntil6(s133)) <=> (xuntil6(s133) | node4(s133) | (~until5(s133)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10836,plain,
% 8.76/6.21 (((~![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))))),
% 8.76/6.21 inference(monotonicity,[status(thm)],[10835])).
% 8.76/6.21 tff(10837,plain,
% 8.76/6.21 (((~![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)))),
% 8.76/6.21 inference(transitivity,[status(thm)],[10836, 10834])).
% 8.76/6.21 tff(10838,plain,
% 8.76/6.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s133) | (~until5(s133)) | xuntil6(s133))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10839,plain,
% 8.76/6.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s133) | node4(s133) | (~until5(s133))),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10838, 10837])).
% 8.76/6.21 tff(10840,plain,
% 8.76/6.21 (xuntil6(s133) | (~until5(s133))),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10839, 36, 10833])).
% 8.76/6.21 tff(10841,plain,
% 8.76/6.21 (xuntil6(s133)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10840, 10829])).
% 8.76/6.21 tff(10842,plain,
% 8.76/6.21 (((~![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))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10843,plain,
% 8.76/6.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s133, s134)) | (~xuntil6(s133)) | until5(s134))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10844,plain,
% 8.76/6.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s133, s134)) | (~xuntil6(s133)) | until5(s134)),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10843, 10842])).
% 8.76/6.21 tff(10845,plain,
% 8.76/6.21 ((~xuntil6(s133)) | until5(s134)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10844, 8646, 141])).
% 8.76/6.21 tff(10846,plain,
% 8.76/6.21 (until5(s134)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10845, 10841])).
% 8.76/6.21 tff(10847,plain,
% 8.76/6.21 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s134) | (~node4(s134)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s134) | (~node4(s134)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10848,plain,
% 8.76/6.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s134) | (~node4(s134)))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10849,plain,
% 8.76/6.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s134) | (~node4(s134))),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10848, 10847])).
% 8.76/6.21 tff(10850,plain,
% 8.76/6.21 (~node4(s134)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10849, 22, 8643])).
% 8.76/6.21 tff(10851,plain,
% 8.76/6.21 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s134) | node4(s134) | (~until5(s134)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s134) | node4(s134) | (~until5(s134)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10852,plain,
% 8.76/6.21 ((node4(s134) | (~until5(s134)) | xuntil6(s134)) <=> (xuntil6(s134) | node4(s134) | (~until5(s134)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10853,plain,
% 8.76/6.21 (((~![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))))),
% 8.76/6.21 inference(monotonicity,[status(thm)],[10852])).
% 8.76/6.21 tff(10854,plain,
% 8.76/6.21 (((~![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)))),
% 8.76/6.21 inference(transitivity,[status(thm)],[10853, 10851])).
% 8.76/6.21 tff(10855,plain,
% 8.76/6.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s134) | (~until5(s134)) | xuntil6(s134))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10856,plain,
% 8.76/6.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s134) | node4(s134) | (~until5(s134))),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10855, 10854])).
% 8.76/6.21 tff(10857,plain,
% 8.76/6.21 (xuntil6(s134) | (~until5(s134))),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10856, 36, 10850])).
% 8.76/6.21 tff(10858,plain,
% 8.76/6.21 (xuntil6(s134)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10857, 10846])).
% 8.76/6.21 tff(10859,plain,
% 8.76/6.21 (((~![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))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10860,plain,
% 8.76/6.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s134, s135)) | (~xuntil6(s134)) | until5(s135))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10861,plain,
% 8.76/6.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s134, s135)) | (~xuntil6(s134)) | until5(s135)),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10860, 10859])).
% 8.76/6.21 tff(10862,plain,
% 8.76/6.21 ((~xuntil6(s134)) | until5(s135)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10861, 8634, 141])).
% 8.76/6.21 tff(10863,plain,
% 8.76/6.21 (until5(s135)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10862, 10858])).
% 8.76/6.21 tff(10864,plain,
% 8.76/6.21 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s135) | (~node4(s135)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s135) | (~node4(s135)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10865,plain,
% 8.76/6.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s135) | (~node4(s135)))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10866,plain,
% 8.76/6.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s135) | (~node4(s135))),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10865, 10864])).
% 8.76/6.21 tff(10867,plain,
% 8.76/6.21 (~node4(s135)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10866, 22, 8631])).
% 8.76/6.21 tff(10868,plain,
% 8.76/6.21 (((~![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)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10869,plain,
% 8.76/6.21 ((node4(s135) | (~until5(s135)) | xuntil6(s135)) <=> (xuntil6(s135) | node4(s135) | (~until5(s135)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10870,plain,
% 8.76/6.21 (((~![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))))),
% 8.76/6.21 inference(monotonicity,[status(thm)],[10869])).
% 8.76/6.21 tff(10871,plain,
% 8.76/6.21 (((~![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)))),
% 8.76/6.21 inference(transitivity,[status(thm)],[10870, 10868])).
% 8.76/6.21 tff(10872,plain,
% 8.76/6.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s135) | (~until5(s135)) | xuntil6(s135))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10873,plain,
% 8.76/6.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s135) | node4(s135) | (~until5(s135))),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10872, 10871])).
% 8.76/6.21 tff(10874,plain,
% 8.76/6.21 (xuntil6(s135) | (~until5(s135))),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10873, 36, 10867])).
% 8.76/6.21 tff(10875,plain,
% 8.76/6.21 (xuntil6(s135)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10874, 10863])).
% 8.76/6.21 tff(10876,plain,
% 8.76/6.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s135, s136)) | (~xuntil6(s135)) | until5(s136))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s135, s136)) | (~xuntil6(s135)) | until5(s136))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10877,plain,
% 8.76/6.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s135, s136)) | (~xuntil6(s135)) | until5(s136))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10878,plain,
% 8.76/6.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s135, s136)) | (~xuntil6(s135)) | until5(s136)),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10877, 10876])).
% 8.76/6.21 tff(10879,plain,
% 8.76/6.21 ((~xuntil6(s135)) | until5(s136)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10878, 8622, 141])).
% 8.76/6.21 tff(10880,plain,
% 8.76/6.21 (until5(s136)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10879, 10875])).
% 8.76/6.21 tff(10881,plain,
% 8.76/6.21 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s136) | (~node4(s136)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s136) | (~node4(s136)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10882,plain,
% 8.76/6.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s136) | (~node4(s136)))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10883,plain,
% 8.76/6.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s136) | (~node4(s136))),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10882, 10881])).
% 8.76/6.21 tff(10884,plain,
% 8.76/6.21 (~node4(s136)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10883, 22, 8619])).
% 8.76/6.21 tff(10885,plain,
% 8.76/6.21 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s136) | node4(s136) | (~until5(s136)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s136) | node4(s136) | (~until5(s136)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10886,plain,
% 8.76/6.21 ((node4(s136) | (~until5(s136)) | xuntil6(s136)) <=> (xuntil6(s136) | node4(s136) | (~until5(s136)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10887,plain,
% 8.76/6.21 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s136) | (~until5(s136)) | xuntil6(s136))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s136) | node4(s136) | (~until5(s136))))),
% 8.76/6.21 inference(monotonicity,[status(thm)],[10886])).
% 8.76/6.21 tff(10888,plain,
% 8.76/6.21 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s136) | (~until5(s136)) | xuntil6(s136))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s136) | node4(s136) | (~until5(s136)))),
% 8.76/6.21 inference(transitivity,[status(thm)],[10887, 10885])).
% 8.76/6.21 tff(10889,plain,
% 8.76/6.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s136) | (~until5(s136)) | xuntil6(s136))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10890,plain,
% 8.76/6.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s136) | node4(s136) | (~until5(s136))),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10889, 10888])).
% 8.76/6.21 tff(10891,plain,
% 8.76/6.21 (xuntil6(s136) | (~until5(s136))),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10890, 36, 10884])).
% 8.76/6.21 tff(10892,plain,
% 8.76/6.21 (xuntil6(s136)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10891, 10880])).
% 8.76/6.21 tff(10893,plain,
% 8.76/6.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s136, s137)) | (~xuntil6(s136)) | until5(s137))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s136, s137)) | (~xuntil6(s136)) | until5(s137))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10894,plain,
% 8.76/6.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s136, s137)) | (~xuntil6(s136)) | until5(s137))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10895,plain,
% 8.76/6.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s136, s137)) | (~xuntil6(s136)) | until5(s137)),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10894, 10893])).
% 8.76/6.21 tff(10896,plain,
% 8.76/6.21 ((~xuntil6(s136)) | until5(s137)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10895, 8610, 141])).
% 8.76/6.21 tff(10897,plain,
% 8.76/6.21 ($false),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10896, 10892, 8607])).
% 8.76/6.21 tff(10898,plain,(always3(s215) | (~until5(s58)) | xuntil6(s215)), inference(lemma,lemma(discharge,[]))).
% 8.76/6.21 tff(10899,plain,
% 8.76/6.21 (xuntil6(s215)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10898, 6332, 6320])).
% 8.76/6.21 tff(10900,plain,
% 8.76/6.21 (((~![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))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10901,plain,
% 8.76/6.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s215, s216)) | (~xuntil6(s215)) | until5(s216))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10902,plain,
% 8.76/6.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s215, s216)) | (~xuntil6(s215)) | until5(s216)),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10901, 10900])).
% 8.76/6.21 tff(10903,plain,
% 8.76/6.21 ((~xuntil6(s215)) | until5(s216)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10902, 6323, 141])).
% 8.76/6.21 tff(10904,plain,
% 8.76/6.21 (until5(s216)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10903, 10899])).
% 8.76/6.21 tff(10905,plain,
% 8.76/6.21 (((~![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)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10906,plain,
% 8.76/6.21 ((node4(s216) | (~until5(s216)) | xuntil6(s216)) <=> (xuntil6(s216) | node4(s216) | (~until5(s216)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10907,plain,
% 8.76/6.21 (((~![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))))),
% 8.76/6.21 inference(monotonicity,[status(thm)],[10906])).
% 8.76/6.21 tff(10908,plain,
% 8.76/6.21 (((~![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)))),
% 8.76/6.21 inference(transitivity,[status(thm)],[10907, 10905])).
% 8.76/6.21 tff(10909,plain,
% 8.76/6.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s216) | (~until5(s216)) | xuntil6(s216))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10910,plain,
% 8.76/6.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s216) | node4(s216) | (~until5(s216))),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10909, 10908])).
% 8.76/6.21 tff(10911,plain,
% 8.76/6.21 (xuntil6(s216) | node4(s216)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10910, 36, 10904])).
% 8.76/6.21 tff(10912,plain,
% 8.76/6.21 (xuntil6(s216)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10911, 6319])).
% 8.76/6.21 tff(10913,plain,
% 8.76/6.21 (((~![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))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10914,plain,
% 8.76/6.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s216, s217)) | (~xuntil6(s216)) | until5(s217))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10915,plain,
% 8.76/6.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s216, s217)) | (~xuntil6(s216)) | until5(s217)),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10914, 10913])).
% 8.76/6.21 tff(10916,plain,
% 8.76/6.21 ((~xuntil6(s216)) | until5(s217)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10915, 6306, 141])).
% 8.76/6.21 tff(10917,plain,
% 8.76/6.21 (until5(s217)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10916, 10912])).
% 8.76/6.21 tff(10918,plain,
% 8.76/6.21 (((~![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)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10919,plain,
% 8.76/6.21 ((node4(s217) | (~until5(s217)) | xuntil6(s217)) <=> (xuntil6(s217) | node4(s217) | (~until5(s217)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10920,plain,
% 8.76/6.21 (((~![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))))),
% 8.76/6.21 inference(monotonicity,[status(thm)],[10919])).
% 8.76/6.21 tff(10921,plain,
% 8.76/6.21 (((~![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)))),
% 8.76/6.21 inference(transitivity,[status(thm)],[10920, 10918])).
% 8.76/6.21 tff(10922,plain,
% 8.76/6.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s217) | (~until5(s217)) | xuntil6(s217))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10923,plain,
% 8.76/6.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s217) | node4(s217) | (~until5(s217))),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10922, 10921])).
% 8.76/6.21 tff(10924,plain,
% 8.76/6.21 (xuntil6(s217)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10923, 36, 10917, 6303])).
% 8.76/6.21 tff(10925,plain,
% 8.76/6.21 (((~![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))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10926,plain,
% 8.76/6.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s217, s218)) | (~xuntil6(s217)) | until5(s218))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10927,plain,
% 8.76/6.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s217, s218)) | (~xuntil6(s217)) | until5(s218)),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10926, 10925])).
% 8.76/6.21 tff(10928,plain,
% 8.76/6.21 ((~xuntil6(s217)) | until5(s218)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10927, 6290, 141])).
% 8.76/6.21 tff(10929,plain,
% 8.76/6.21 (until5(s218)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10928, 10924])).
% 8.76/6.21 tff(10930,plain,
% 8.76/6.21 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s218) | (~node4(s218)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s218) | (~node4(s218)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10931,plain,
% 8.76/6.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s218) | (~node4(s218)))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10932,plain,
% 8.76/6.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s218) | (~node4(s218))),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10931, 10930])).
% 8.76/6.21 tff(10933,plain,
% 8.76/6.21 (~node4(s218)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10932, 22, 6287])).
% 8.76/6.21 tff(10934,plain,
% 8.76/6.21 (((~![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)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10935,plain,
% 8.76/6.21 ((node4(s218) | (~until5(s218)) | xuntil6(s218)) <=> (xuntil6(s218) | node4(s218) | (~until5(s218)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10936,plain,
% 8.76/6.21 (((~![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))))),
% 8.76/6.21 inference(monotonicity,[status(thm)],[10935])).
% 8.76/6.21 tff(10937,plain,
% 8.76/6.21 (((~![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)))),
% 8.76/6.21 inference(transitivity,[status(thm)],[10936, 10934])).
% 8.76/6.21 tff(10938,plain,
% 8.76/6.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s218) | (~until5(s218)) | xuntil6(s218))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10939,plain,
% 8.76/6.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s218) | node4(s218) | (~until5(s218))),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10938, 10937])).
% 8.76/6.21 tff(10940,plain,
% 8.76/6.21 (xuntil6(s218) | (~until5(s218))),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10939, 36, 10933])).
% 8.76/6.21 tff(10941,plain,
% 8.76/6.21 (xuntil6(s218)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10940, 10929])).
% 8.76/6.21 tff(10942,plain,
% 8.76/6.21 (((~![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))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10943,plain,
% 8.76/6.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s218, s219)) | (~xuntil6(s218)) | until5(s219))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10944,plain,
% 8.76/6.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s218, s219)) | (~xuntil6(s218)) | until5(s219)),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10943, 10942])).
% 8.76/6.21 tff(10945,plain,
% 8.76/6.21 ((~xuntil6(s218)) | until5(s219)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10944, 6278, 141])).
% 8.76/6.21 tff(10946,plain,
% 8.76/6.21 (until5(s219)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10945, 10941])).
% 8.76/6.21 tff(10947,plain,
% 8.76/6.21 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s219) | (~node4(s219)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s219) | (~node4(s219)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10948,plain,
% 8.76/6.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s219) | (~node4(s219)))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10949,plain,
% 8.76/6.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s219) | (~node4(s219))),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10948, 10947])).
% 8.76/6.21 tff(10950,plain,
% 8.76/6.21 (~node4(s219)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10949, 22, 6275])).
% 8.76/6.21 tff(10951,plain,
% 8.76/6.21 (((~![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)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10952,plain,
% 8.76/6.21 ((node4(s219) | (~until5(s219)) | xuntil6(s219)) <=> (xuntil6(s219) | node4(s219) | (~until5(s219)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10953,plain,
% 8.76/6.21 (((~![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))))),
% 8.76/6.21 inference(monotonicity,[status(thm)],[10952])).
% 8.76/6.21 tff(10954,plain,
% 8.76/6.21 (((~![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)))),
% 8.76/6.21 inference(transitivity,[status(thm)],[10953, 10951])).
% 8.76/6.21 tff(10955,plain,
% 8.76/6.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s219) | (~until5(s219)) | xuntil6(s219))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10956,plain,
% 8.76/6.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s219) | node4(s219) | (~until5(s219))),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10955, 10954])).
% 8.76/6.21 tff(10957,plain,
% 8.76/6.21 (xuntil6(s219) | (~until5(s219))),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10956, 36, 10950])).
% 8.76/6.21 tff(10958,plain,
% 8.76/6.21 (xuntil6(s219)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10957, 10946])).
% 8.76/6.21 tff(10959,plain,
% 8.76/6.21 (((~![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))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10960,plain,
% 8.76/6.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s219, s220)) | (~xuntil6(s219)) | until5(s220))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10961,plain,
% 8.76/6.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s219, s220)) | (~xuntil6(s219)) | until5(s220)),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10960, 10959])).
% 8.76/6.21 tff(10962,plain,
% 8.76/6.21 ((~xuntil6(s219)) | until5(s220)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10961, 6266, 141])).
% 8.76/6.21 tff(10963,plain,
% 8.76/6.21 (until5(s220)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10962, 10958])).
% 8.76/6.21 tff(10964,plain,
% 8.76/6.21 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s220) | (~node4(s220)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s220) | (~node4(s220)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10965,plain,
% 8.76/6.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s220) | (~node4(s220)))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10966,plain,
% 8.76/6.21 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s220) | (~node4(s220))),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10965, 10964])).
% 8.76/6.21 tff(10967,plain,
% 8.76/6.21 (~node4(s220)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10966, 22, 6263])).
% 8.76/6.21 tff(10968,plain,
% 8.76/6.21 (((~![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)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10969,plain,
% 8.76/6.21 ((node4(s220) | (~until5(s220)) | xuntil6(s220)) <=> (xuntil6(s220) | node4(s220) | (~until5(s220)))),
% 8.76/6.21 inference(rewrite,[status(thm)],[])).
% 8.76/6.21 tff(10970,plain,
% 8.76/6.21 (((~![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))))),
% 8.76/6.21 inference(monotonicity,[status(thm)],[10969])).
% 8.76/6.21 tff(10971,plain,
% 8.76/6.21 (((~![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)))),
% 8.76/6.21 inference(transitivity,[status(thm)],[10970, 10968])).
% 8.76/6.21 tff(10972,plain,
% 8.76/6.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s220) | (~until5(s220)) | xuntil6(s220))),
% 8.76/6.21 inference(quant_inst,[status(thm)],[])).
% 8.76/6.21 tff(10973,plain,
% 8.76/6.21 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s220) | node4(s220) | (~until5(s220))),
% 8.76/6.21 inference(modus_ponens,[status(thm)],[10972, 10971])).
% 8.76/6.21 tff(10974,plain,
% 8.76/6.21 (xuntil6(s220) | (~until5(s220))),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10973, 36, 10967])).
% 8.76/6.21 tff(10975,plain,
% 8.76/6.21 (xuntil6(s220)),
% 8.76/6.21 inference(unit_resolution,[status(thm)],[10974, 10963])).
% 8.76/6.21 tff(10976,plain,
% 8.76/6.21 (((~![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))),
% 8.76/6.22 inference(rewrite,[status(thm)],[])).
% 8.76/6.22 tff(10977,plain,
% 8.76/6.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s220, s221)) | (~xuntil6(s220)) | until5(s221))),
% 8.76/6.22 inference(quant_inst,[status(thm)],[])).
% 8.76/6.22 tff(10978,plain,
% 8.76/6.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s220, s221)) | (~xuntil6(s220)) | until5(s221)),
% 8.76/6.22 inference(modus_ponens,[status(thm)],[10977, 10976])).
% 8.76/6.22 tff(10979,plain,
% 8.76/6.22 ((~xuntil6(s220)) | until5(s221)),
% 8.76/6.22 inference(unit_resolution,[status(thm)],[10978, 6254, 141])).
% 8.76/6.22 tff(10980,plain,
% 8.76/6.22 (until5(s221)),
% 8.76/6.22 inference(unit_resolution,[status(thm)],[10979, 10975])).
% 8.76/6.22 tff(10981,plain,
% 8.76/6.22 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s221) | (~node4(s221)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s221) | (~node4(s221)))),
% 8.76/6.22 inference(rewrite,[status(thm)],[])).
% 8.76/6.22 tff(10982,plain,
% 8.76/6.22 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s221) | (~node4(s221)))),
% 8.76/6.22 inference(quant_inst,[status(thm)],[])).
% 8.76/6.22 tff(10983,plain,
% 8.76/6.22 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s221) | (~node4(s221))),
% 8.76/6.22 inference(modus_ponens,[status(thm)],[10982, 10981])).
% 8.76/6.22 tff(10984,plain,
% 8.76/6.22 (~node4(s221)),
% 8.76/6.22 inference(unit_resolution,[status(thm)],[10983, 22, 6251])).
% 8.76/6.22 tff(10985,plain,
% 8.76/6.22 (((~![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)))),
% 8.76/6.22 inference(rewrite,[status(thm)],[])).
% 8.76/6.22 tff(10986,plain,
% 8.76/6.22 ((node4(s221) | (~until5(s221)) | xuntil6(s221)) <=> (xuntil6(s221) | node4(s221) | (~until5(s221)))),
% 8.76/6.22 inference(rewrite,[status(thm)],[])).
% 8.76/6.22 tff(10987,plain,
% 8.76/6.22 (((~![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))))),
% 8.76/6.22 inference(monotonicity,[status(thm)],[10986])).
% 8.76/6.22 tff(10988,plain,
% 8.76/6.22 (((~![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)))),
% 8.76/6.22 inference(transitivity,[status(thm)],[10987, 10985])).
% 8.76/6.22 tff(10989,plain,
% 8.76/6.22 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s221) | (~until5(s221)) | xuntil6(s221))),
% 8.76/6.22 inference(quant_inst,[status(thm)],[])).
% 8.76/6.22 tff(10990,plain,
% 8.76/6.22 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s221) | node4(s221) | (~until5(s221))),
% 8.76/6.22 inference(modus_ponens,[status(thm)],[10989, 10988])).
% 8.76/6.22 tff(10991,plain,
% 8.76/6.22 (xuntil6(s221) | (~until5(s221))),
% 8.76/6.22 inference(unit_resolution,[status(thm)],[10990, 36, 10984])).
% 8.76/6.22 tff(10992,plain,
% 8.76/6.22 (xuntil6(s221)),
% 8.76/6.22 inference(unit_resolution,[status(thm)],[10991, 10980])).
% 8.76/6.22 tff(10993,plain,
% 8.76/6.22 (((~![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))),
% 8.76/6.22 inference(rewrite,[status(thm)],[])).
% 8.76/6.22 tff(10994,plain,
% 8.76/6.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s221, s222)) | (~xuntil6(s221)) | until5(s222))),
% 8.76/6.22 inference(quant_inst,[status(thm)],[])).
% 8.76/6.22 tff(10995,plain,
% 8.76/6.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s221, s222)) | (~xuntil6(s221)) | until5(s222)),
% 8.76/6.22 inference(modus_ponens,[status(thm)],[10994, 10993])).
% 8.76/6.22 tff(10996,plain,
% 8.76/6.22 ((~xuntil6(s221)) | until5(s222)),
% 8.76/6.22 inference(unit_resolution,[status(thm)],[10995, 6242, 141])).
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% 8.76/6.22 inference(rewrite,[status(thm)],[])).
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% 8.76/6.22 inference(rewrite,[status(thm)],[])).
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% 8.76/6.22 inference(transitivity,[status(thm)],[11140, 11138])).
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% 8.76/6.22 inference(quant_inst,[status(thm)],[])).
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% 8.76/6.22 inference(modus_ponens,[status(thm)],[11142, 11141])).
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% 8.76/6.22 inference(unit_resolution,[status(thm)],[11143, 36, 11137])).
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% 8.76/6.22 inference(unit_resolution,[status(thm)],[11144, 11133])).
% 8.76/6.22 tff(11146,plain,
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% 8.76/6.22 inference(rewrite,[status(thm)],[])).
% 8.76/6.22 tff(11147,plain,
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% 8.76/6.22 inference(quant_inst,[status(thm)],[])).
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% 8.76/6.22 inference(modus_ponens,[status(thm)],[11147, 11146])).
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% 8.76/6.22 inference(unit_resolution,[status(thm)],[11148, 6134, 141])).
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% 8.76/6.22 inference(unit_resolution,[status(thm)],[11149, 11145])).
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% 8.76/6.22 inference(rewrite,[status(thm)],[])).
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% 8.76/6.22 inference(quant_inst,[status(thm)],[])).
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% 8.76/6.22 inference(modus_ponens,[status(thm)],[11152, 11151])).
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% 8.76/6.22 inference(unit_resolution,[status(thm)],[11153, 22, 6131])).
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% 8.76/6.22 inference(rewrite,[status(thm)],[])).
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% 8.76/6.22 inference(rewrite,[status(thm)],[])).
% 8.76/6.22 tff(11157,plain,
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% 8.76/6.22 inference(monotonicity,[status(thm)],[11156])).
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% 8.76/6.22 inference(transitivity,[status(thm)],[11157, 11155])).
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% 8.76/6.22 inference(quant_inst,[status(thm)],[])).
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% 8.76/6.22 inference(modus_ponens,[status(thm)],[11159, 11158])).
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% 8.76/6.22 inference(unit_resolution,[status(thm)],[11161, 11150])).
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% 8.76/6.22 inference(rewrite,[status(thm)],[])).
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% 8.76/6.22 inference(quant_inst,[status(thm)],[])).
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% 8.76/6.22 inference(modus_ponens,[status(thm)],[11164, 11163])).
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% 8.76/6.22 inference(unit_resolution,[status(thm)],[11165, 6122, 141])).
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% 8.76/6.22 inference(unit_resolution,[status(thm)],[11166, 11162])).
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% 8.76/6.22 inference(rewrite,[status(thm)],[])).
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% 8.76/6.22 inference(quant_inst,[status(thm)],[])).
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% 8.76/6.22 inference(modus_ponens,[status(thm)],[11169, 11168])).
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% 8.76/6.22 inference(unit_resolution,[status(thm)],[11170, 22, 6119])).
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% 8.76/6.22 inference(rewrite,[status(thm)],[])).
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% 8.76/6.22 inference(rewrite,[status(thm)],[])).
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% 8.76/6.23 inference(monotonicity,[status(thm)],[11173])).
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% 8.76/6.23 inference(transitivity,[status(thm)],[11174, 11172])).
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% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
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% 8.76/6.23 inference(unit_resolution,[status(thm)],[11178, 11167])).
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% 8.76/6.23 inference(rewrite,[status(thm)],[])).
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% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
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% 8.76/6.23 inference(modus_ponens,[status(thm)],[11181, 11180])).
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% 8.76/6.23 inference(rewrite,[status(thm)],[])).
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% 8.76/6.23 inference(modus_ponens,[status(thm)],[11186, 11185])).
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% 8.76/6.23 inference(rewrite,[status(thm)],[])).
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% 8.76/6.23 inference(rewrite,[status(thm)],[])).
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% 8.76/6.23 inference(rewrite,[status(thm)],[])).
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% 8.76/6.23 inference(rewrite,[status(thm)],[])).
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% 8.76/6.23 inference(rewrite,[status(thm)],[])).
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% 8.76/6.23 inference(rewrite,[status(thm)],[])).
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% 8.76/6.23 (xuntil6(s234)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11212, 11201])).
% 8.76/6.23 tff(11214,plain,
% 8.76/6.23 (((~![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))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11215,plain,
% 8.76/6.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s234, s235)) | (~xuntil6(s234)) | until5(s235))),
% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
% 8.76/6.23 tff(11216,plain,
% 8.76/6.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s234, s235)) | (~xuntil6(s234)) | until5(s235)),
% 8.76/6.23 inference(modus_ponens,[status(thm)],[11215, 11214])).
% 8.76/6.23 tff(11217,plain,
% 8.76/6.23 ((~xuntil6(s234)) | until5(s235)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11216, 6086, 141])).
% 8.76/6.23 tff(11218,plain,
% 8.76/6.23 (until5(s235)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11217, 11213])).
% 8.76/6.23 tff(11219,plain,
% 8.76/6.23 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s235) | (~node4(s235)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s235) | (~node4(s235)))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11220,plain,
% 8.76/6.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s235) | (~node4(s235)))),
% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
% 8.76/6.23 tff(11221,plain,
% 8.76/6.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s235) | (~node4(s235))),
% 8.76/6.23 inference(modus_ponens,[status(thm)],[11220, 11219])).
% 8.76/6.23 tff(11222,plain,
% 8.76/6.23 (~node4(s235)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11221, 22, 6083])).
% 8.76/6.23 tff(11223,plain,
% 8.76/6.23 (((~![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)))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11224,plain,
% 8.76/6.23 ((node4(s235) | (~until5(s235)) | xuntil6(s235)) <=> (xuntil6(s235) | node4(s235) | (~until5(s235)))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11225,plain,
% 8.76/6.23 (((~![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))))),
% 8.76/6.23 inference(monotonicity,[status(thm)],[11224])).
% 8.76/6.23 tff(11226,plain,
% 8.76/6.23 (((~![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)))),
% 8.76/6.23 inference(transitivity,[status(thm)],[11225, 11223])).
% 8.76/6.23 tff(11227,plain,
% 8.76/6.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s235) | (~until5(s235)) | xuntil6(s235))),
% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
% 8.76/6.23 tff(11228,plain,
% 8.76/6.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s235) | node4(s235) | (~until5(s235))),
% 8.76/6.23 inference(modus_ponens,[status(thm)],[11227, 11226])).
% 8.76/6.23 tff(11229,plain,
% 8.76/6.23 (xuntil6(s235) | (~until5(s235))),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11228, 36, 11222])).
% 8.76/6.23 tff(11230,plain,
% 8.76/6.23 (xuntil6(s235)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11229, 11218])).
% 8.76/6.23 tff(11231,plain,
% 8.76/6.23 (((~![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))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11232,plain,
% 8.76/6.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s235, s236)) | (~xuntil6(s235)) | until5(s236))),
% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
% 8.76/6.23 tff(11233,plain,
% 8.76/6.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s235, s236)) | (~xuntil6(s235)) | until5(s236)),
% 8.76/6.23 inference(modus_ponens,[status(thm)],[11232, 11231])).
% 8.76/6.23 tff(11234,plain,
% 8.76/6.23 ((~xuntil6(s235)) | until5(s236)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11233, 6074, 141])).
% 8.76/6.23 tff(11235,plain,
% 8.76/6.23 (until5(s236)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11234, 11230])).
% 8.76/6.23 tff(11236,plain,
% 8.76/6.23 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s236) | (~node4(s236)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s236) | (~node4(s236)))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11237,plain,
% 8.76/6.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s236) | (~node4(s236)))),
% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
% 8.76/6.23 tff(11238,plain,
% 8.76/6.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s236) | (~node4(s236))),
% 8.76/6.23 inference(modus_ponens,[status(thm)],[11237, 11236])).
% 8.76/6.23 tff(11239,plain,
% 8.76/6.23 (~node4(s236)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11238, 22, 6071])).
% 8.76/6.23 tff(11240,plain,
% 8.76/6.23 (((~![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)))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11241,plain,
% 8.76/6.23 ((node4(s236) | (~until5(s236)) | xuntil6(s236)) <=> (xuntil6(s236) | node4(s236) | (~until5(s236)))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11242,plain,
% 8.76/6.23 (((~![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))))),
% 8.76/6.23 inference(monotonicity,[status(thm)],[11241])).
% 8.76/6.23 tff(11243,plain,
% 8.76/6.23 (((~![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)))),
% 8.76/6.23 inference(transitivity,[status(thm)],[11242, 11240])).
% 8.76/6.23 tff(11244,plain,
% 8.76/6.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s236) | (~until5(s236)) | xuntil6(s236))),
% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
% 8.76/6.23 tff(11245,plain,
% 8.76/6.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s236) | node4(s236) | (~until5(s236))),
% 8.76/6.23 inference(modus_ponens,[status(thm)],[11244, 11243])).
% 8.76/6.23 tff(11246,plain,
% 8.76/6.23 (xuntil6(s236) | (~until5(s236))),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11245, 36, 11239])).
% 8.76/6.23 tff(11247,plain,
% 8.76/6.23 (xuntil6(s236)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11246, 11235])).
% 8.76/6.23 tff(11248,plain,
% 8.76/6.23 (((~![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))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11249,plain,
% 8.76/6.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s236, s237)) | (~xuntil6(s236)) | until5(s237))),
% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
% 8.76/6.23 tff(11250,plain,
% 8.76/6.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s236, s237)) | (~xuntil6(s236)) | until5(s237)),
% 8.76/6.23 inference(modus_ponens,[status(thm)],[11249, 11248])).
% 8.76/6.23 tff(11251,plain,
% 8.76/6.23 ((~xuntil6(s236)) | until5(s237)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11250, 6062, 141])).
% 8.76/6.23 tff(11252,plain,
% 8.76/6.23 (until5(s237)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11251, 11247])).
% 8.76/6.23 tff(11253,plain,
% 8.76/6.23 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s237) | (~node4(s237)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s237) | (~node4(s237)))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11254,plain,
% 8.76/6.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s237) | (~node4(s237)))),
% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
% 8.76/6.23 tff(11255,plain,
% 8.76/6.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s237) | (~node4(s237))),
% 8.76/6.23 inference(modus_ponens,[status(thm)],[11254, 11253])).
% 8.76/6.23 tff(11256,plain,
% 8.76/6.23 (~node4(s237)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11255, 22, 6059])).
% 8.76/6.23 tff(11257,plain,
% 8.76/6.23 (((~![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)))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11258,plain,
% 8.76/6.23 ((node4(s237) | (~until5(s237)) | xuntil6(s237)) <=> (xuntil6(s237) | node4(s237) | (~until5(s237)))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11259,plain,
% 8.76/6.23 (((~![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))))),
% 8.76/6.23 inference(monotonicity,[status(thm)],[11258])).
% 8.76/6.23 tff(11260,plain,
% 8.76/6.23 (((~![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)))),
% 8.76/6.23 inference(transitivity,[status(thm)],[11259, 11257])).
% 8.76/6.23 tff(11261,plain,
% 8.76/6.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s237) | (~until5(s237)) | xuntil6(s237))),
% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
% 8.76/6.23 tff(11262,plain,
% 8.76/6.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s237) | node4(s237) | (~until5(s237))),
% 8.76/6.23 inference(modus_ponens,[status(thm)],[11261, 11260])).
% 8.76/6.23 tff(11263,plain,
% 8.76/6.23 (xuntil6(s237) | (~until5(s237))),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11262, 36, 11256])).
% 8.76/6.23 tff(11264,plain,
% 8.76/6.23 (xuntil6(s237)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11263, 11252])).
% 8.76/6.23 tff(11265,plain,
% 8.76/6.23 (((~![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))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11266,plain,
% 8.76/6.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s237, s238)) | (~xuntil6(s237)) | until5(s238))),
% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
% 8.76/6.23 tff(11267,plain,
% 8.76/6.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s237, s238)) | (~xuntil6(s237)) | until5(s238)),
% 8.76/6.23 inference(modus_ponens,[status(thm)],[11266, 11265])).
% 8.76/6.23 tff(11268,plain,
% 8.76/6.23 ((~xuntil6(s237)) | until5(s238)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11267, 6050, 141])).
% 8.76/6.23 tff(11269,plain,
% 8.76/6.23 (until5(s238)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11268, 11264])).
% 8.76/6.23 tff(11270,plain,
% 8.76/6.23 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s238) | (~node4(s238)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s238) | (~node4(s238)))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11271,plain,
% 8.76/6.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s238) | (~node4(s238)))),
% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
% 8.76/6.23 tff(11272,plain,
% 8.76/6.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s238) | (~node4(s238))),
% 8.76/6.23 inference(modus_ponens,[status(thm)],[11271, 11270])).
% 8.76/6.23 tff(11273,plain,
% 8.76/6.23 (~node4(s238)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11272, 22, 6047])).
% 8.76/6.23 tff(11274,plain,
% 8.76/6.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s238) | node4(s238) | (~until5(s238)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s238) | node4(s238) | (~until5(s238)))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11275,plain,
% 8.76/6.23 ((node4(s238) | (~until5(s238)) | xuntil6(s238)) <=> (xuntil6(s238) | node4(s238) | (~until5(s238)))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11276,plain,
% 8.76/6.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s238) | (~until5(s238)) | xuntil6(s238))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s238) | node4(s238) | (~until5(s238))))),
% 8.76/6.23 inference(monotonicity,[status(thm)],[11275])).
% 8.76/6.23 tff(11277,plain,
% 8.76/6.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s238) | (~until5(s238)) | xuntil6(s238))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s238) | node4(s238) | (~until5(s238)))),
% 8.76/6.23 inference(transitivity,[status(thm)],[11276, 11274])).
% 8.76/6.23 tff(11278,plain,
% 8.76/6.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s238) | (~until5(s238)) | xuntil6(s238))),
% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
% 8.76/6.23 tff(11279,plain,
% 8.76/6.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s238) | node4(s238) | (~until5(s238))),
% 8.76/6.23 inference(modus_ponens,[status(thm)],[11278, 11277])).
% 8.76/6.23 tff(11280,plain,
% 8.76/6.23 (xuntil6(s238) | (~until5(s238))),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11279, 36, 11273])).
% 8.76/6.23 tff(11281,plain,
% 8.76/6.23 (xuntil6(s238)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11280, 11269])).
% 8.76/6.23 tff(11282,plain,
% 8.76/6.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s238, s239)) | (~xuntil6(s238)) | until5(s239))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s238, s239)) | (~xuntil6(s238)) | until5(s239))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11283,plain,
% 8.76/6.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s238, s239)) | (~xuntil6(s238)) | until5(s239))),
% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
% 8.76/6.23 tff(11284,plain,
% 8.76/6.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s238, s239)) | (~xuntil6(s238)) | until5(s239)),
% 8.76/6.23 inference(modus_ponens,[status(thm)],[11283, 11282])).
% 8.76/6.23 tff(11285,plain,
% 8.76/6.23 ((~xuntil6(s238)) | until5(s239)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11284, 6038, 141])).
% 8.76/6.23 tff(11286,plain,
% 8.76/6.23 (until5(s239)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11285, 11281])).
% 8.76/6.23 tff(11287,plain,
% 8.76/6.23 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s239) | (~node4(s239)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s239) | (~node4(s239)))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11288,plain,
% 8.76/6.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s239) | (~node4(s239)))),
% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
% 8.76/6.23 tff(11289,plain,
% 8.76/6.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s239) | (~node4(s239))),
% 8.76/6.23 inference(modus_ponens,[status(thm)],[11288, 11287])).
% 8.76/6.23 tff(11290,plain,
% 8.76/6.23 (~node4(s239)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11289, 22, 6035])).
% 8.76/6.23 tff(11291,plain,
% 8.76/6.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s239) | node4(s239) | (~until5(s239)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s239) | node4(s239) | (~until5(s239)))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11292,plain,
% 8.76/6.23 ((node4(s239) | (~until5(s239)) | xuntil6(s239)) <=> (xuntil6(s239) | node4(s239) | (~until5(s239)))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11293,plain,
% 8.76/6.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s239) | (~until5(s239)) | xuntil6(s239))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s239) | node4(s239) | (~until5(s239))))),
% 8.76/6.23 inference(monotonicity,[status(thm)],[11292])).
% 8.76/6.23 tff(11294,plain,
% 8.76/6.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s239) | (~until5(s239)) | xuntil6(s239))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s239) | node4(s239) | (~until5(s239)))),
% 8.76/6.23 inference(transitivity,[status(thm)],[11293, 11291])).
% 8.76/6.23 tff(11295,plain,
% 8.76/6.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s239) | (~until5(s239)) | xuntil6(s239))),
% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
% 8.76/6.23 tff(11296,plain,
% 8.76/6.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s239) | node4(s239) | (~until5(s239))),
% 8.76/6.23 inference(modus_ponens,[status(thm)],[11295, 11294])).
% 8.76/6.23 tff(11297,plain,
% 8.76/6.23 (xuntil6(s239) | (~until5(s239))),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11296, 36, 11290])).
% 8.76/6.23 tff(11298,plain,
% 8.76/6.23 (xuntil6(s239)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11297, 11286])).
% 8.76/6.23 tff(11299,plain,
% 8.76/6.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s239, s240)) | (~xuntil6(s239)) | until5(s240))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s239, s240)) | (~xuntil6(s239)) | until5(s240))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11300,plain,
% 8.76/6.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s239, s240)) | (~xuntil6(s239)) | until5(s240))),
% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
% 8.76/6.23 tff(11301,plain,
% 8.76/6.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s239, s240)) | (~xuntil6(s239)) | until5(s240)),
% 8.76/6.23 inference(modus_ponens,[status(thm)],[11300, 11299])).
% 8.76/6.23 tff(11302,plain,
% 8.76/6.23 ((~xuntil6(s239)) | until5(s240)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11301, 6026, 141])).
% 8.76/6.23 tff(11303,plain,
% 8.76/6.23 (until5(s240)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11302, 11298])).
% 8.76/6.23 tff(11304,plain,
% 8.76/6.23 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s240) | (~node4(s240)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s240) | (~node4(s240)))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11305,plain,
% 8.76/6.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s240) | (~node4(s240)))),
% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
% 8.76/6.23 tff(11306,plain,
% 8.76/6.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s240) | (~node4(s240))),
% 8.76/6.23 inference(modus_ponens,[status(thm)],[11305, 11304])).
% 8.76/6.23 tff(11307,plain,
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% 8.76/6.23 inference(unit_resolution,[status(thm)],[11306, 22, 6023])).
% 8.76/6.23 tff(11308,plain,
% 8.76/6.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s240) | node4(s240) | (~until5(s240)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s240) | node4(s240) | (~until5(s240)))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11309,plain,
% 8.76/6.23 ((node4(s240) | (~until5(s240)) | xuntil6(s240)) <=> (xuntil6(s240) | node4(s240) | (~until5(s240)))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11310,plain,
% 8.76/6.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s240) | (~until5(s240)) | xuntil6(s240))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s240) | node4(s240) | (~until5(s240))))),
% 8.76/6.23 inference(monotonicity,[status(thm)],[11309])).
% 8.76/6.23 tff(11311,plain,
% 8.76/6.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s240) | (~until5(s240)) | xuntil6(s240))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s240) | node4(s240) | (~until5(s240)))),
% 8.76/6.23 inference(transitivity,[status(thm)],[11310, 11308])).
% 8.76/6.23 tff(11312,plain,
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% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
% 8.76/6.23 tff(11313,plain,
% 8.76/6.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s240) | node4(s240) | (~until5(s240))),
% 8.76/6.23 inference(modus_ponens,[status(thm)],[11312, 11311])).
% 8.76/6.23 tff(11314,plain,
% 8.76/6.23 (xuntil6(s240) | (~until5(s240))),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11313, 36, 11307])).
% 8.76/6.23 tff(11315,plain,
% 8.76/6.23 (xuntil6(s240)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11314, 11303])).
% 8.76/6.23 tff(11316,plain,
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% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11317,plain,
% 8.76/6.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s240, s241)) | (~xuntil6(s240)) | until5(s241))),
% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
% 8.76/6.23 tff(11318,plain,
% 8.76/6.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s240, s241)) | (~xuntil6(s240)) | until5(s241)),
% 8.76/6.23 inference(modus_ponens,[status(thm)],[11317, 11316])).
% 8.76/6.23 tff(11319,plain,
% 8.76/6.23 ((~xuntil6(s240)) | until5(s241)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11318, 6014, 141])).
% 8.76/6.23 tff(11320,plain,
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% 8.76/6.23 inference(unit_resolution,[status(thm)],[11319, 11315])).
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% 8.76/6.23 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s241) | (~node4(s241)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s241) | (~node4(s241)))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
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% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
% 8.76/6.23 tff(11323,plain,
% 8.76/6.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s241) | (~node4(s241))),
% 8.76/6.23 inference(modus_ponens,[status(thm)],[11322, 11321])).
% 8.76/6.23 tff(11324,plain,
% 8.76/6.23 (~node4(s241)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11323, 22, 6011])).
% 8.76/6.23 tff(11325,plain,
% 8.76/6.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s241) | node4(s241) | (~until5(s241)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s241) | node4(s241) | (~until5(s241)))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11326,plain,
% 8.76/6.23 ((node4(s241) | (~until5(s241)) | xuntil6(s241)) <=> (xuntil6(s241) | node4(s241) | (~until5(s241)))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11327,plain,
% 8.76/6.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s241) | (~until5(s241)) | xuntil6(s241))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s241) | node4(s241) | (~until5(s241))))),
% 8.76/6.23 inference(monotonicity,[status(thm)],[11326])).
% 8.76/6.23 tff(11328,plain,
% 8.76/6.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s241) | (~until5(s241)) | xuntil6(s241))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s241) | node4(s241) | (~until5(s241)))),
% 8.76/6.23 inference(transitivity,[status(thm)],[11327, 11325])).
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% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
% 8.76/6.23 tff(11330,plain,
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% 8.76/6.23 inference(modus_ponens,[status(thm)],[11329, 11328])).
% 8.76/6.23 tff(11331,plain,
% 8.76/6.23 (xuntil6(s241) | (~until5(s241))),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11330, 36, 11324])).
% 8.76/6.23 tff(11332,plain,
% 8.76/6.23 (xuntil6(s241)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11331, 11320])).
% 8.76/6.23 tff(11333,plain,
% 8.76/6.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s241, s242)) | (~xuntil6(s241)) | until5(s242))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s241, s242)) | (~xuntil6(s241)) | until5(s242))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11334,plain,
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% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
% 8.76/6.23 tff(11335,plain,
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% 8.76/6.23 inference(modus_ponens,[status(thm)],[11334, 11333])).
% 8.76/6.23 tff(11336,plain,
% 8.76/6.23 ((~xuntil6(s241)) | until5(s242)),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11335, 6002, 141])).
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% 8.76/6.23 inference(unit_resolution,[status(thm)],[11336, 11332])).
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% 8.76/6.23 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s242) | (~node4(s242)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s242) | (~node4(s242)))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
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% 8.76/6.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s242) | (~node4(s242)))),
% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
% 8.76/6.23 tff(11340,plain,
% 8.76/6.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s242) | (~node4(s242))),
% 8.76/6.23 inference(modus_ponens,[status(thm)],[11339, 11338])).
% 8.76/6.23 tff(11341,plain,
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% 8.76/6.23 inference(unit_resolution,[status(thm)],[11340, 22, 5999])).
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% 8.76/6.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s242) | node4(s242) | (~until5(s242)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s242) | node4(s242) | (~until5(s242)))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
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% 8.76/6.23 ((node4(s242) | (~until5(s242)) | xuntil6(s242)) <=> (xuntil6(s242) | node4(s242) | (~until5(s242)))),
% 8.76/6.23 inference(rewrite,[status(thm)],[])).
% 8.76/6.23 tff(11344,plain,
% 8.76/6.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s242) | (~until5(s242)) | xuntil6(s242))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s242) | node4(s242) | (~until5(s242))))),
% 8.76/6.23 inference(monotonicity,[status(thm)],[11343])).
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% 8.76/6.23 inference(transitivity,[status(thm)],[11344, 11342])).
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% 8.76/6.23 inference(quant_inst,[status(thm)],[])).
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% 8.76/6.23 (xuntil6(s242) | (~until5(s242))),
% 8.76/6.23 inference(unit_resolution,[status(thm)],[11347, 36, 11341])).
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% 8.76/6.23 inference(unit_resolution,[status(thm)],[11348, 11337])).
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% 8.76/6.24 inference(rewrite,[status(thm)],[])).
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% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11352,plain,
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% 8.76/6.24 inference(modus_ponens,[status(thm)],[11351, 11350])).
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% 8.76/6.24 inference(unit_resolution,[status(thm)],[11352, 5990, 141])).
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% 8.76/6.24 inference(unit_resolution,[status(thm)],[11353, 11349])).
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% 8.76/6.24 inference(rewrite,[status(thm)],[])).
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% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
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% 8.76/6.24 inference(modus_ponens,[status(thm)],[11356, 11355])).
% 8.76/6.24 tff(11358,plain,
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% 8.76/6.24 inference(unit_resolution,[status(thm)],[11357, 22, 5987])).
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% 8.76/6.24 inference(rewrite,[status(thm)],[])).
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% 8.76/6.24 ((node4(s243) | (~until5(s243)) | xuntil6(s243)) <=> (xuntil6(s243) | node4(s243) | (~until5(s243)))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11361,plain,
% 8.76/6.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s243) | (~until5(s243)) | xuntil6(s243))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s243) | node4(s243) | (~until5(s243))))),
% 8.76/6.24 inference(monotonicity,[status(thm)],[11360])).
% 8.76/6.24 tff(11362,plain,
% 8.76/6.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s243) | (~until5(s243)) | xuntil6(s243))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s243) | node4(s243) | (~until5(s243)))),
% 8.76/6.24 inference(transitivity,[status(thm)],[11361, 11359])).
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% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11364,plain,
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% 8.76/6.24 inference(modus_ponens,[status(thm)],[11363, 11362])).
% 8.76/6.24 tff(11365,plain,
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% 8.76/6.24 inference(unit_resolution,[status(thm)],[11364, 36, 11358])).
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% 8.76/6.24 (xuntil6(s243)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11365, 11354])).
% 8.76/6.24 tff(11367,plain,
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% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11368,plain,
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% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11369,plain,
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% 8.76/6.24 inference(modus_ponens,[status(thm)],[11368, 11367])).
% 8.76/6.24 tff(11370,plain,
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% 8.76/6.24 inference(unit_resolution,[status(thm)],[11369, 5978, 141])).
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% 8.76/6.24 inference(unit_resolution,[status(thm)],[11370, 11366])).
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% 8.76/6.24 inference(rewrite,[status(thm)],[])).
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% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11374,plain,
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% 8.76/6.24 inference(modus_ponens,[status(thm)],[11373, 11372])).
% 8.76/6.24 tff(11375,plain,
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% 8.76/6.24 inference(unit_resolution,[status(thm)],[11374, 22, 5975])).
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% 8.76/6.24 inference(rewrite,[status(thm)],[])).
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% 8.76/6.24 ((node4(s244) | (~until5(s244)) | xuntil6(s244)) <=> (xuntil6(s244) | node4(s244) | (~until5(s244)))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11378,plain,
% 8.76/6.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s244) | (~until5(s244)) | xuntil6(s244))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s244) | node4(s244) | (~until5(s244))))),
% 8.76/6.24 inference(monotonicity,[status(thm)],[11377])).
% 8.76/6.24 tff(11379,plain,
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% 8.76/6.24 inference(transitivity,[status(thm)],[11378, 11376])).
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% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
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% 8.76/6.24 inference(modus_ponens,[status(thm)],[11380, 11379])).
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% 8.76/6.24 inference(unit_resolution,[status(thm)],[11381, 36, 11375])).
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% 8.76/6.24 inference(unit_resolution,[status(thm)],[11382, 11371])).
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% 8.76/6.24 inference(rewrite,[status(thm)],[])).
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% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11386,plain,
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% 8.76/6.24 inference(modus_ponens,[status(thm)],[11385, 11384])).
% 8.76/6.24 tff(11387,plain,
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% 8.76/6.24 inference(unit_resolution,[status(thm)],[11386, 5966, 141])).
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% 8.76/6.24 inference(unit_resolution,[status(thm)],[11387, 11383])).
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% 8.76/6.24 inference(rewrite,[status(thm)],[])).
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% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11391,plain,
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% 8.76/6.24 inference(modus_ponens,[status(thm)],[11390, 11389])).
% 8.76/6.24 tff(11392,plain,
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% 8.76/6.24 inference(unit_resolution,[status(thm)],[11391, 22, 5963])).
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% 8.76/6.24 inference(rewrite,[status(thm)],[])).
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% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11395,plain,
% 8.76/6.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s245) | (~until5(s245)) | xuntil6(s245))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s245) | node4(s245) | (~until5(s245))))),
% 8.76/6.24 inference(monotonicity,[status(thm)],[11394])).
% 8.76/6.24 tff(11396,plain,
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% 8.76/6.24 inference(transitivity,[status(thm)],[11395, 11393])).
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% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
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% 8.76/6.24 inference(modus_ponens,[status(thm)],[11397, 11396])).
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% 8.76/6.24 inference(unit_resolution,[status(thm)],[11398, 36, 11392])).
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% 8.76/6.24 inference(unit_resolution,[status(thm)],[11399, 11388])).
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% 8.76/6.24 inference(rewrite,[status(thm)],[])).
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% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
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% 8.76/6.24 inference(modus_ponens,[status(thm)],[11402, 11401])).
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% 8.76/6.24 inference(unit_resolution,[status(thm)],[11403, 5954, 141])).
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% 8.76/6.24 inference(unit_resolution,[status(thm)],[11404, 11400])).
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% 8.76/6.24 inference(rewrite,[status(thm)],[])).
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% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
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% 8.76/6.24 inference(modus_ponens,[status(thm)],[11407, 11406])).
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% 8.76/6.24 inference(rewrite,[status(thm)],[])).
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% 8.76/6.24 ((node4(s246) | (~until5(s246)) | xuntil6(s246)) <=> (xuntil6(s246) | node4(s246) | (~until5(s246)))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11412,plain,
% 8.76/6.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s246) | (~until5(s246)) | xuntil6(s246))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s246) | node4(s246) | (~until5(s246))))),
% 8.76/6.24 inference(monotonicity,[status(thm)],[11411])).
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% 8.76/6.24 inference(transitivity,[status(thm)],[11412, 11410])).
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% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
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% 8.76/6.24 inference(unit_resolution,[status(thm)],[11415, 36, 11409])).
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% 8.76/6.24 inference(unit_resolution,[status(thm)],[11416, 11405])).
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% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11419,plain,
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% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11420,plain,
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% 8.76/6.24 inference(modus_ponens,[status(thm)],[11419, 11418])).
% 8.76/6.24 tff(11421,plain,
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% 8.76/6.24 inference(unit_resolution,[status(thm)],[11420, 5942, 141])).
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% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11424,plain,
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% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11425,plain,
% 8.76/6.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s247) | (~node4(s247))),
% 8.76/6.24 inference(modus_ponens,[status(thm)],[11424, 11423])).
% 8.76/6.24 tff(11426,plain,
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% 8.76/6.24 inference(unit_resolution,[status(thm)],[11425, 22, 5939])).
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% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11428,plain,
% 8.76/6.24 ((node4(s247) | (~until5(s247)) | xuntil6(s247)) <=> (xuntil6(s247) | node4(s247) | (~until5(s247)))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11429,plain,
% 8.76/6.24 (((~![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))))),
% 8.76/6.24 inference(monotonicity,[status(thm)],[11428])).
% 8.76/6.24 tff(11430,plain,
% 8.76/6.24 (((~![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)))),
% 8.76/6.24 inference(transitivity,[status(thm)],[11429, 11427])).
% 8.76/6.24 tff(11431,plain,
% 8.76/6.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s247) | (~until5(s247)) | xuntil6(s247))),
% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11432,plain,
% 8.76/6.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s247) | node4(s247) | (~until5(s247))),
% 8.76/6.24 inference(modus_ponens,[status(thm)],[11431, 11430])).
% 8.76/6.24 tff(11433,plain,
% 8.76/6.24 (xuntil6(s247) | (~until5(s247))),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11432, 36, 11426])).
% 8.76/6.24 tff(11434,plain,
% 8.76/6.24 (xuntil6(s247)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11433, 11422])).
% 8.76/6.24 tff(11435,plain,
% 8.76/6.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s247, s248)) | (~xuntil6(s247)) | until5(s248))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s247, s248)) | (~xuntil6(s247)) | until5(s248))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11436,plain,
% 8.76/6.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s247, s248)) | (~xuntil6(s247)) | until5(s248))),
% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11437,plain,
% 8.76/6.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s247, s248)) | (~xuntil6(s247)) | until5(s248)),
% 8.76/6.24 inference(modus_ponens,[status(thm)],[11436, 11435])).
% 8.76/6.24 tff(11438,plain,
% 8.76/6.24 ((~xuntil6(s247)) | until5(s248)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11437, 5930, 141])).
% 8.76/6.24 tff(11439,plain,
% 8.76/6.24 (until5(s248)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11438, 11434])).
% 8.76/6.24 tff(11440,plain,
% 8.76/6.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s248) | (~node4(s248)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s248) | (~node4(s248)))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11441,plain,
% 8.76/6.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s248) | (~node4(s248)))),
% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11442,plain,
% 8.76/6.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s248) | (~node4(s248))),
% 8.76/6.24 inference(modus_ponens,[status(thm)],[11441, 11440])).
% 8.76/6.24 tff(11443,plain,
% 8.76/6.24 (~node4(s248)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11442, 22, 5927])).
% 8.76/6.24 tff(11444,plain,
% 8.76/6.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s248) | node4(s248) | (~until5(s248)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s248) | node4(s248) | (~until5(s248)))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11445,plain,
% 8.76/6.24 ((node4(s248) | (~until5(s248)) | xuntil6(s248)) <=> (xuntil6(s248) | node4(s248) | (~until5(s248)))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11446,plain,
% 8.76/6.24 (((~![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))))),
% 8.76/6.24 inference(monotonicity,[status(thm)],[11445])).
% 8.76/6.24 tff(11447,plain,
% 8.76/6.24 (((~![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)))),
% 8.76/6.24 inference(transitivity,[status(thm)],[11446, 11444])).
% 8.76/6.24 tff(11448,plain,
% 8.76/6.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s248) | (~until5(s248)) | xuntil6(s248))),
% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11449,plain,
% 8.76/6.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s248) | node4(s248) | (~until5(s248))),
% 8.76/6.24 inference(modus_ponens,[status(thm)],[11448, 11447])).
% 8.76/6.24 tff(11450,plain,
% 8.76/6.24 (xuntil6(s248) | (~until5(s248))),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11449, 36, 11443])).
% 8.76/6.24 tff(11451,plain,
% 8.76/6.24 (xuntil6(s248)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11450, 11439])).
% 8.76/6.24 tff(11452,plain,
% 8.76/6.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s248, s249)) | (~xuntil6(s248)) | until5(s249))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s248, s249)) | (~xuntil6(s248)) | until5(s249))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11453,plain,
% 8.76/6.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s248, s249)) | (~xuntil6(s248)) | until5(s249))),
% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11454,plain,
% 8.76/6.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s248, s249)) | (~xuntil6(s248)) | until5(s249)),
% 8.76/6.24 inference(modus_ponens,[status(thm)],[11453, 11452])).
% 8.76/6.24 tff(11455,plain,
% 8.76/6.24 ((~xuntil6(s248)) | until5(s249)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11454, 5918, 141])).
% 8.76/6.24 tff(11456,plain,
% 8.76/6.24 (until5(s249)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11455, 11451])).
% 8.76/6.24 tff(11457,plain,
% 8.76/6.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s249) | (~node4(s249)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s249) | (~node4(s249)))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11458,plain,
% 8.76/6.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s249) | (~node4(s249)))),
% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11459,plain,
% 8.76/6.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s249) | (~node4(s249))),
% 8.76/6.24 inference(modus_ponens,[status(thm)],[11458, 11457])).
% 8.76/6.24 tff(11460,plain,
% 8.76/6.24 (~node4(s249)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11459, 22, 5915])).
% 8.76/6.24 tff(11461,plain,
% 8.76/6.24 (((~![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)))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11462,plain,
% 8.76/6.24 ((node4(s249) | (~until5(s249)) | xuntil6(s249)) <=> (xuntil6(s249) | node4(s249) | (~until5(s249)))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11463,plain,
% 8.76/6.24 (((~![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))))),
% 8.76/6.24 inference(monotonicity,[status(thm)],[11462])).
% 8.76/6.24 tff(11464,plain,
% 8.76/6.24 (((~![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)))),
% 8.76/6.24 inference(transitivity,[status(thm)],[11463, 11461])).
% 8.76/6.24 tff(11465,plain,
% 8.76/6.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s249) | (~until5(s249)) | xuntil6(s249))),
% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11466,plain,
% 8.76/6.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s249) | node4(s249) | (~until5(s249))),
% 8.76/6.24 inference(modus_ponens,[status(thm)],[11465, 11464])).
% 8.76/6.24 tff(11467,plain,
% 8.76/6.24 (xuntil6(s249) | (~until5(s249))),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11466, 36, 11460])).
% 8.76/6.24 tff(11468,plain,
% 8.76/6.24 (xuntil6(s249)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11467, 11456])).
% 8.76/6.24 tff(11469,plain,
% 8.76/6.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s249, s250)) | (~xuntil6(s249)) | until5(s250))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s249, s250)) | (~xuntil6(s249)) | until5(s250))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11470,plain,
% 8.76/6.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s249, s250)) | (~xuntil6(s249)) | until5(s250))),
% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11471,plain,
% 8.76/6.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s249, s250)) | (~xuntil6(s249)) | until5(s250)),
% 8.76/6.24 inference(modus_ponens,[status(thm)],[11470, 11469])).
% 8.76/6.24 tff(11472,plain,
% 8.76/6.24 ((~xuntil6(s249)) | until5(s250)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11471, 5906, 141])).
% 8.76/6.24 tff(11473,plain,
% 8.76/6.24 (until5(s250)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11472, 11468])).
% 8.76/6.24 tff(11474,plain,
% 8.76/6.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s250) | (~node4(s250)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s250) | (~node4(s250)))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11475,plain,
% 8.76/6.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s250) | (~node4(s250)))),
% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11476,plain,
% 8.76/6.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s250) | (~node4(s250))),
% 8.76/6.24 inference(modus_ponens,[status(thm)],[11475, 11474])).
% 8.76/6.24 tff(11477,plain,
% 8.76/6.24 (~node4(s250)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11476, 22, 5903])).
% 8.76/6.24 tff(11478,plain,
% 8.76/6.24 (((~![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)))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11479,plain,
% 8.76/6.24 ((node4(s250) | (~until5(s250)) | xuntil6(s250)) <=> (xuntil6(s250) | node4(s250) | (~until5(s250)))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11480,plain,
% 8.76/6.24 (((~![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))))),
% 8.76/6.24 inference(monotonicity,[status(thm)],[11479])).
% 8.76/6.24 tff(11481,plain,
% 8.76/6.24 (((~![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)))),
% 8.76/6.24 inference(transitivity,[status(thm)],[11480, 11478])).
% 8.76/6.24 tff(11482,plain,
% 8.76/6.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s250) | (~until5(s250)) | xuntil6(s250))),
% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11483,plain,
% 8.76/6.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s250) | node4(s250) | (~until5(s250))),
% 8.76/6.24 inference(modus_ponens,[status(thm)],[11482, 11481])).
% 8.76/6.24 tff(11484,plain,
% 8.76/6.24 (xuntil6(s250) | (~until5(s250))),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11483, 36, 11477])).
% 8.76/6.24 tff(11485,plain,
% 8.76/6.24 (xuntil6(s250)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11484, 11473])).
% 8.76/6.24 tff(11486,plain,
% 8.76/6.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s250, s251)) | (~xuntil6(s250)) | until5(s251))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s250, s251)) | (~xuntil6(s250)) | until5(s251))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11487,plain,
% 8.76/6.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s250, s251)) | (~xuntil6(s250)) | until5(s251))),
% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11488,plain,
% 8.76/6.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s250, s251)) | (~xuntil6(s250)) | until5(s251)),
% 8.76/6.24 inference(modus_ponens,[status(thm)],[11487, 11486])).
% 8.76/6.24 tff(11489,plain,
% 8.76/6.24 ((~xuntil6(s250)) | until5(s251)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11488, 5894, 141])).
% 8.76/6.24 tff(11490,plain,
% 8.76/6.24 (until5(s251)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11489, 11485])).
% 8.76/6.24 tff(11491,plain,
% 8.76/6.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s251) | (~node4(s251)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s251) | (~node4(s251)))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11492,plain,
% 8.76/6.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s251) | (~node4(s251)))),
% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11493,plain,
% 8.76/6.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s251) | (~node4(s251))),
% 8.76/6.24 inference(modus_ponens,[status(thm)],[11492, 11491])).
% 8.76/6.24 tff(11494,plain,
% 8.76/6.24 (~node4(s251)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11493, 22, 5891])).
% 8.76/6.24 tff(11495,plain,
% 8.76/6.24 (((~![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)))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11496,plain,
% 8.76/6.24 ((node4(s251) | (~until5(s251)) | xuntil6(s251)) <=> (xuntil6(s251) | node4(s251) | (~until5(s251)))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11497,plain,
% 8.76/6.24 (((~![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))))),
% 8.76/6.24 inference(monotonicity,[status(thm)],[11496])).
% 8.76/6.24 tff(11498,plain,
% 8.76/6.24 (((~![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)))),
% 8.76/6.24 inference(transitivity,[status(thm)],[11497, 11495])).
% 8.76/6.24 tff(11499,plain,
% 8.76/6.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s251) | (~until5(s251)) | xuntil6(s251))),
% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11500,plain,
% 8.76/6.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s251) | node4(s251) | (~until5(s251))),
% 8.76/6.24 inference(modus_ponens,[status(thm)],[11499, 11498])).
% 8.76/6.24 tff(11501,plain,
% 8.76/6.24 (xuntil6(s251) | (~until5(s251))),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11500, 36, 11494])).
% 8.76/6.24 tff(11502,plain,
% 8.76/6.24 (xuntil6(s251)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11501, 11490])).
% 8.76/6.24 tff(11503,plain,
% 8.76/6.24 (((~![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))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11504,plain,
% 8.76/6.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s251, s252)) | (~xuntil6(s251)) | until5(s252))),
% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11505,plain,
% 8.76/6.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s251, s252)) | (~xuntil6(s251)) | until5(s252)),
% 8.76/6.24 inference(modus_ponens,[status(thm)],[11504, 11503])).
% 8.76/6.24 tff(11506,plain,
% 8.76/6.24 ((~xuntil6(s251)) | until5(s252)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11505, 5882, 141])).
% 8.76/6.24 tff(11507,plain,
% 8.76/6.24 (until5(s252)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11506, 11502])).
% 8.76/6.24 tff(11508,plain,
% 8.76/6.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s252) | (~node4(s252)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s252) | (~node4(s252)))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11509,plain,
% 8.76/6.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s252) | (~node4(s252)))),
% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11510,plain,
% 8.76/6.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s252) | (~node4(s252))),
% 8.76/6.24 inference(modus_ponens,[status(thm)],[11509, 11508])).
% 8.76/6.24 tff(11511,plain,
% 8.76/6.24 (~node4(s252)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11510, 22, 5879])).
% 8.76/6.24 tff(11512,plain,
% 8.76/6.24 (((~![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)))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11513,plain,
% 8.76/6.24 ((node4(s252) | (~until5(s252)) | xuntil6(s252)) <=> (xuntil6(s252) | node4(s252) | (~until5(s252)))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11514,plain,
% 8.76/6.24 (((~![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))))),
% 8.76/6.24 inference(monotonicity,[status(thm)],[11513])).
% 8.76/6.24 tff(11515,plain,
% 8.76/6.24 (((~![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)))),
% 8.76/6.24 inference(transitivity,[status(thm)],[11514, 11512])).
% 8.76/6.24 tff(11516,plain,
% 8.76/6.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s252) | (~until5(s252)) | xuntil6(s252))),
% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11517,plain,
% 8.76/6.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s252) | node4(s252) | (~until5(s252))),
% 8.76/6.24 inference(modus_ponens,[status(thm)],[11516, 11515])).
% 8.76/6.24 tff(11518,plain,
% 8.76/6.24 (xuntil6(s252) | (~until5(s252))),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11517, 36, 11511])).
% 8.76/6.24 tff(11519,plain,
% 8.76/6.24 (xuntil6(s252)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11518, 11507])).
% 8.76/6.24 tff(11520,plain,
% 8.76/6.24 (((~![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))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11521,plain,
% 8.76/6.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s252, s253)) | (~xuntil6(s252)) | until5(s253))),
% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11522,plain,
% 8.76/6.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s252, s253)) | (~xuntil6(s252)) | until5(s253)),
% 8.76/6.24 inference(modus_ponens,[status(thm)],[11521, 11520])).
% 8.76/6.24 tff(11523,plain,
% 8.76/6.24 ((~xuntil6(s252)) | until5(s253)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11522, 5870, 141])).
% 8.76/6.24 tff(11524,plain,
% 8.76/6.24 (until5(s253)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11523, 11519])).
% 8.76/6.24 tff(11525,assumption,(~node4(s253)), introduced(assumption)).
% 8.76/6.24 tff(11526,plain,
% 8.76/6.24 (((~![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)))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11527,plain,
% 8.76/6.24 ((node4(s253) | (~until5(s253)) | xuntil6(s253)) <=> (xuntil6(s253) | node4(s253) | (~until5(s253)))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11528,plain,
% 8.76/6.24 (((~![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))))),
% 8.76/6.24 inference(monotonicity,[status(thm)],[11527])).
% 8.76/6.24 tff(11529,plain,
% 8.76/6.24 (((~![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)))),
% 8.76/6.24 inference(transitivity,[status(thm)],[11528, 11526])).
% 8.76/6.24 tff(11530,plain,
% 8.76/6.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s253) | (~until5(s253)) | xuntil6(s253))),
% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11531,plain,
% 8.76/6.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s253) | node4(s253) | (~until5(s253))),
% 8.76/6.24 inference(modus_ponens,[status(thm)],[11530, 11529])).
% 8.76/6.24 tff(11532,plain,
% 8.76/6.24 (xuntil6(s253) | (~until5(s253))),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11531, 36, 11525])).
% 8.76/6.24 tff(11533,plain,
% 8.76/6.24 (xuntil6(s253)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11532, 11524])).
% 8.76/6.24 tff(11534,plain,
% 8.76/6.24 (((~![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))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11535,plain,
% 8.76/6.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s253, s254)) | (~xuntil6(s253)) | until5(s254))),
% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11536,plain,
% 8.76/6.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s253, s254)) | (~xuntil6(s253)) | until5(s254)),
% 8.76/6.24 inference(modus_ponens,[status(thm)],[11535, 11534])).
% 8.76/6.24 tff(11537,plain,
% 8.76/6.24 ((~xuntil6(s253)) | until5(s254)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11536, 5084, 141])).
% 8.76/6.24 tff(11538,plain,
% 8.76/6.24 (until5(s254)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11537, 11533])).
% 8.76/6.24 tff(11539,plain,
% 8.76/6.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s254) | (~node4(s254)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s254) | (~node4(s254)))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11540,plain,
% 8.76/6.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s254) | (~node4(s254)))),
% 8.76/6.24 inference(quant_inst,[status(thm)],[])).
% 8.76/6.24 tff(11541,plain,
% 8.76/6.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s254) | (~node4(s254))),
% 8.76/6.24 inference(modus_ponens,[status(thm)],[11540, 11539])).
% 8.76/6.24 tff(11542,plain,
% 8.76/6.24 (~node4(s254)),
% 8.76/6.24 inference(unit_resolution,[status(thm)],[11541, 22, 5866])).
% 8.76/6.24 tff(11543,plain,
% 8.76/6.24 (((~![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)))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11544,plain,
% 8.76/6.24 ((node4(s254) | (~until5(s254)) | xuntil6(s254)) <=> (xuntil6(s254) | node4(s254) | (~until5(s254)))),
% 8.76/6.24 inference(rewrite,[status(thm)],[])).
% 8.76/6.24 tff(11545,plain,
% 8.76/6.24 (((~![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))))),
% 8.76/6.24 inference(monotonicity,[status(thm)],[11544])).
% 8.76/6.24 tff(11546,plain,
% 8.76/6.24 (((~![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)))),
% 8.76/6.24 inference(transitivity,[status(thm)],[11545, 11543])).
% 8.76/6.25 tff(11547,plain,
% 8.76/6.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s254) | (~until5(s254)) | xuntil6(s254))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11548,plain,
% 8.76/6.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s254) | node4(s254) | (~until5(s254))),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11547, 11546])).
% 8.76/6.25 tff(11549,plain,
% 8.76/6.25 (xuntil6(s254) | (~until5(s254))),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11548, 36, 11542])).
% 8.76/6.25 tff(11550,plain,
% 8.76/6.25 (xuntil6(s254)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11549, 11538])).
% 8.76/6.25 tff(11551,plain,
% 8.76/6.25 (((~![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))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11552,plain,
% 8.76/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s254, s255)) | (~xuntil6(s254)) | until5(s255))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11553,plain,
% 8.76/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s254, s255)) | (~xuntil6(s254)) | until5(s255)),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11552, 11551])).
% 8.76/6.25 tff(11554,plain,
% 8.76/6.25 ((~xuntil6(s254)) | until5(s255)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11553, 5857, 141])).
% 8.76/6.25 tff(11555,plain,
% 8.76/6.25 (until5(s255)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11554, 11550])).
% 8.76/6.25 tff(11556,plain,
% 8.76/6.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s255) | (~node4(s255)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s255) | (~node4(s255)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11557,plain,
% 8.76/6.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s255) | (~node4(s255)))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11558,plain,
% 8.76/6.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s255) | (~node4(s255))),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11557, 11556])).
% 8.76/6.25 tff(11559,plain,
% 8.76/6.25 (~node4(s255)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11558, 22, 5854])).
% 8.76/6.25 tff(11560,plain,
% 8.76/6.25 (((~![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)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11561,plain,
% 8.76/6.25 ((node4(s255) | (~until5(s255)) | xuntil6(s255)) <=> (xuntil6(s255) | node4(s255) | (~until5(s255)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11562,plain,
% 8.76/6.25 (((~![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))))),
% 8.76/6.25 inference(monotonicity,[status(thm)],[11561])).
% 8.76/6.25 tff(11563,plain,
% 8.76/6.25 (((~![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)))),
% 8.76/6.25 inference(transitivity,[status(thm)],[11562, 11560])).
% 8.76/6.25 tff(11564,plain,
% 8.76/6.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s255) | (~until5(s255)) | xuntil6(s255))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11565,plain,
% 8.76/6.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s255) | node4(s255) | (~until5(s255))),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11564, 11563])).
% 8.76/6.25 tff(11566,plain,
% 8.76/6.25 (xuntil6(s255) | (~until5(s255))),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11565, 36, 11559])).
% 8.76/6.25 tff(11567,plain,
% 8.76/6.25 (xuntil6(s255)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11566, 11555])).
% 8.76/6.25 tff(11568,plain,
% 8.76/6.25 (((~![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))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11569,plain,
% 8.76/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s255, s256)) | (~xuntil6(s255)) | until5(s256))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11570,plain,
% 8.76/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s255, s256)) | (~xuntil6(s255)) | until5(s256)),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11569, 11568])).
% 8.76/6.25 tff(11571,plain,
% 8.76/6.25 ((~xuntil6(s255)) | until5(s256)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11570, 5845, 141])).
% 8.76/6.25 tff(11572,plain,
% 8.76/6.25 (until5(s256)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11571, 11567])).
% 8.76/6.25 tff(11573,plain,
% 8.76/6.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s256) | (~node4(s256)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s256) | (~node4(s256)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11574,plain,
% 8.76/6.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s256) | (~node4(s256)))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11575,plain,
% 8.76/6.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s256) | (~node4(s256))),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11574, 11573])).
% 8.76/6.25 tff(11576,plain,
% 8.76/6.25 (~node4(s256)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11575, 22, 5842])).
% 8.76/6.25 tff(11577,plain,
% 8.76/6.25 (((~![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)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11578,plain,
% 8.76/6.25 ((node4(s256) | (~until5(s256)) | xuntil6(s256)) <=> (xuntil6(s256) | node4(s256) | (~until5(s256)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11579,plain,
% 8.76/6.25 (((~![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))))),
% 8.76/6.25 inference(monotonicity,[status(thm)],[11578])).
% 8.76/6.25 tff(11580,plain,
% 8.76/6.25 (((~![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)))),
% 8.76/6.25 inference(transitivity,[status(thm)],[11579, 11577])).
% 8.76/6.25 tff(11581,plain,
% 8.76/6.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s256) | (~until5(s256)) | xuntil6(s256))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11582,plain,
% 8.76/6.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s256) | node4(s256) | (~until5(s256))),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11581, 11580])).
% 8.76/6.25 tff(11583,plain,
% 8.76/6.25 (xuntil6(s256) | (~until5(s256))),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11582, 36, 11576])).
% 8.76/6.25 tff(11584,plain,
% 8.76/6.25 (xuntil6(s256)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11583, 11572])).
% 8.76/6.25 tff(11585,plain,
% 8.76/6.25 (((~![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))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11586,plain,
% 8.76/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s256, s257)) | (~xuntil6(s256)) | until5(s257))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11587,plain,
% 8.76/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s256, s257)) | (~xuntil6(s256)) | until5(s257)),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11586, 11585])).
% 8.76/6.25 tff(11588,plain,
% 8.76/6.25 ((~xuntil6(s256)) | until5(s257)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11587, 5833, 141])).
% 8.76/6.25 tff(11589,plain,
% 8.76/6.25 (until5(s257)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11588, 11584])).
% 8.76/6.25 tff(11590,plain,
% 8.76/6.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s257) | (~node4(s257)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s257) | (~node4(s257)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11591,plain,
% 8.76/6.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s257) | (~node4(s257)))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11592,plain,
% 8.76/6.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s257) | (~node4(s257))),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11591, 11590])).
% 8.76/6.25 tff(11593,plain,
% 8.76/6.25 (~node4(s257)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11592, 22, 5830])).
% 8.76/6.25 tff(11594,plain,
% 8.76/6.25 (((~![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)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11595,plain,
% 8.76/6.25 ((node4(s257) | (~until5(s257)) | xuntil6(s257)) <=> (xuntil6(s257) | node4(s257) | (~until5(s257)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11596,plain,
% 8.76/6.25 (((~![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))))),
% 8.76/6.25 inference(monotonicity,[status(thm)],[11595])).
% 8.76/6.25 tff(11597,plain,
% 8.76/6.25 (((~![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)))),
% 8.76/6.25 inference(transitivity,[status(thm)],[11596, 11594])).
% 8.76/6.25 tff(11598,plain,
% 8.76/6.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s257) | (~until5(s257)) | xuntil6(s257))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11599,plain,
% 8.76/6.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s257) | node4(s257) | (~until5(s257))),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11598, 11597])).
% 8.76/6.25 tff(11600,plain,
% 8.76/6.25 (xuntil6(s257) | (~until5(s257))),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11599, 36, 11593])).
% 8.76/6.25 tff(11601,plain,
% 8.76/6.25 (xuntil6(s257)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11600, 11589])).
% 8.76/6.25 tff(11602,plain,
% 8.76/6.25 (((~![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))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11603,plain,
% 8.76/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s257, s258)) | (~xuntil6(s257)) | until5(s258))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11604,plain,
% 8.76/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s257, s258)) | (~xuntil6(s257)) | until5(s258)),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11603, 11602])).
% 8.76/6.25 tff(11605,plain,
% 8.76/6.25 ((~xuntil6(s257)) | until5(s258)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11604, 5821, 141])).
% 8.76/6.25 tff(11606,plain,
% 8.76/6.25 (until5(s258)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11605, 11601])).
% 8.76/6.25 tff(11607,plain,
% 8.76/6.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s258) | (~node4(s258)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s258) | (~node4(s258)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11608,plain,
% 8.76/6.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s258) | (~node4(s258)))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11609,plain,
% 8.76/6.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s258) | (~node4(s258))),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11608, 11607])).
% 8.76/6.25 tff(11610,plain,
% 8.76/6.25 (~node4(s258)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11609, 22, 5818])).
% 8.76/6.25 tff(11611,plain,
% 8.76/6.25 (((~![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)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11612,plain,
% 8.76/6.25 ((node4(s258) | (~until5(s258)) | xuntil6(s258)) <=> (xuntil6(s258) | node4(s258) | (~until5(s258)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11613,plain,
% 8.76/6.25 (((~![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))))),
% 8.76/6.25 inference(monotonicity,[status(thm)],[11612])).
% 8.76/6.25 tff(11614,plain,
% 8.76/6.25 (((~![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)))),
% 8.76/6.25 inference(transitivity,[status(thm)],[11613, 11611])).
% 8.76/6.25 tff(11615,plain,
% 8.76/6.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s258) | (~until5(s258)) | xuntil6(s258))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11616,plain,
% 8.76/6.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s258) | node4(s258) | (~until5(s258))),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11615, 11614])).
% 8.76/6.25 tff(11617,plain,
% 8.76/6.25 (xuntil6(s258) | (~until5(s258))),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11616, 36, 11610])).
% 8.76/6.25 tff(11618,plain,
% 8.76/6.25 (xuntil6(s258)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11617, 11606])).
% 8.76/6.25 tff(11619,plain,
% 8.76/6.25 (((~![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))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11620,plain,
% 8.76/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s258, s259)) | (~xuntil6(s258)) | until5(s259))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11621,plain,
% 8.76/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s258, s259)) | (~xuntil6(s258)) | until5(s259)),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11620, 11619])).
% 8.76/6.25 tff(11622,plain,
% 8.76/6.25 ((~xuntil6(s258)) | until5(s259)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11621, 5809, 141])).
% 8.76/6.25 tff(11623,plain,
% 8.76/6.25 (until5(s259)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11622, 11618])).
% 8.76/6.25 tff(11624,plain,
% 8.76/6.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s259) | (~node4(s259)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s259) | (~node4(s259)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11625,plain,
% 8.76/6.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s259) | (~node4(s259)))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11626,plain,
% 8.76/6.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s259) | (~node4(s259))),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11625, 11624])).
% 8.76/6.25 tff(11627,plain,
% 8.76/6.25 (~node4(s259)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11626, 22, 5806])).
% 8.76/6.25 tff(11628,plain,
% 8.76/6.25 (((~![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)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11629,plain,
% 8.76/6.25 ((node4(s259) | (~until5(s259)) | xuntil6(s259)) <=> (xuntil6(s259) | node4(s259) | (~until5(s259)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11630,plain,
% 8.76/6.25 (((~![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))))),
% 8.76/6.25 inference(monotonicity,[status(thm)],[11629])).
% 8.76/6.25 tff(11631,plain,
% 8.76/6.25 (((~![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)))),
% 8.76/6.25 inference(transitivity,[status(thm)],[11630, 11628])).
% 8.76/6.25 tff(11632,plain,
% 8.76/6.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s259) | (~until5(s259)) | xuntil6(s259))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11633,plain,
% 8.76/6.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s259) | node4(s259) | (~until5(s259))),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11632, 11631])).
% 8.76/6.25 tff(11634,plain,
% 8.76/6.25 (xuntil6(s259) | (~until5(s259))),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11633, 36, 11627])).
% 8.76/6.25 tff(11635,plain,
% 8.76/6.25 (xuntil6(s259)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11634, 11623])).
% 8.76/6.25 tff(11636,plain,
% 8.76/6.25 (((~![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))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11637,plain,
% 8.76/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s259, s260)) | (~xuntil6(s259)) | until5(s260))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11638,plain,
% 8.76/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s259, s260)) | (~xuntil6(s259)) | until5(s260)),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11637, 11636])).
% 8.76/6.25 tff(11639,plain,
% 8.76/6.25 ((~xuntil6(s259)) | until5(s260)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11638, 5797, 141])).
% 8.76/6.25 tff(11640,plain,
% 8.76/6.25 (until5(s260)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11639, 11635])).
% 8.76/6.25 tff(11641,plain,
% 8.76/6.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s260) | (~node4(s260)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s260) | (~node4(s260)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11642,plain,
% 8.76/6.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s260) | (~node4(s260)))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11643,plain,
% 8.76/6.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s260) | (~node4(s260))),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11642, 11641])).
% 8.76/6.25 tff(11644,plain,
% 8.76/6.25 (~node4(s260)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11643, 22, 5794])).
% 8.76/6.25 tff(11645,plain,
% 8.76/6.25 (((~![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)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11646,plain,
% 8.76/6.25 ((node4(s260) | (~until5(s260)) | xuntil6(s260)) <=> (xuntil6(s260) | node4(s260) | (~until5(s260)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11647,plain,
% 8.76/6.25 (((~![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))))),
% 8.76/6.25 inference(monotonicity,[status(thm)],[11646])).
% 8.76/6.25 tff(11648,plain,
% 8.76/6.25 (((~![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)))),
% 8.76/6.25 inference(transitivity,[status(thm)],[11647, 11645])).
% 8.76/6.25 tff(11649,plain,
% 8.76/6.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s260) | (~until5(s260)) | xuntil6(s260))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11650,plain,
% 8.76/6.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s260) | node4(s260) | (~until5(s260))),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11649, 11648])).
% 8.76/6.25 tff(11651,plain,
% 8.76/6.25 (xuntil6(s260) | (~until5(s260))),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11650, 36, 11644])).
% 8.76/6.25 tff(11652,plain,
% 8.76/6.25 (xuntil6(s260)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11651, 11640])).
% 8.76/6.25 tff(11653,plain,
% 8.76/6.25 (((~![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))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11654,plain,
% 8.76/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s260, s261)) | (~xuntil6(s260)) | until5(s261))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11655,plain,
% 8.76/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s260, s261)) | (~xuntil6(s260)) | until5(s261)),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11654, 11653])).
% 8.76/6.25 tff(11656,plain,
% 8.76/6.25 ((~xuntil6(s260)) | until5(s261)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11655, 5785, 141])).
% 8.76/6.25 tff(11657,plain,
% 8.76/6.25 (until5(s261)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11656, 11652])).
% 8.76/6.25 tff(11658,plain,
% 8.76/6.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s261) | (~node4(s261)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s261) | (~node4(s261)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11659,plain,
% 8.76/6.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s261) | (~node4(s261)))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11660,plain,
% 8.76/6.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s261) | (~node4(s261))),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11659, 11658])).
% 8.76/6.25 tff(11661,plain,
% 8.76/6.25 (~node4(s261)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11660, 22, 5782])).
% 8.76/6.25 tff(11662,plain,
% 8.76/6.25 (((~![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)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11663,plain,
% 8.76/6.25 ((node4(s261) | (~until5(s261)) | xuntil6(s261)) <=> (xuntil6(s261) | node4(s261) | (~until5(s261)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11664,plain,
% 8.76/6.25 (((~![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))))),
% 8.76/6.25 inference(monotonicity,[status(thm)],[11663])).
% 8.76/6.25 tff(11665,plain,
% 8.76/6.25 (((~![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)))),
% 8.76/6.25 inference(transitivity,[status(thm)],[11664, 11662])).
% 8.76/6.25 tff(11666,plain,
% 8.76/6.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s261) | (~until5(s261)) | xuntil6(s261))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11667,plain,
% 8.76/6.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s261) | node4(s261) | (~until5(s261))),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11666, 11665])).
% 8.76/6.25 tff(11668,plain,
% 8.76/6.25 (xuntil6(s261) | (~until5(s261))),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11667, 36, 11661])).
% 8.76/6.25 tff(11669,plain,
% 8.76/6.25 (xuntil6(s261)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11668, 11657])).
% 8.76/6.25 tff(11670,plain,
% 8.76/6.25 (((~![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))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11671,plain,
% 8.76/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s261, s262)) | (~xuntil6(s261)) | until5(s262))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11672,plain,
% 8.76/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s261, s262)) | (~xuntil6(s261)) | until5(s262)),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11671, 11670])).
% 8.76/6.25 tff(11673,plain,
% 8.76/6.25 ((~xuntil6(s261)) | until5(s262)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11672, 5773, 141])).
% 8.76/6.25 tff(11674,plain,
% 8.76/6.25 (until5(s262)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11673, 11669])).
% 8.76/6.25 tff(11675,plain,
% 8.76/6.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s262) | (~node4(s262)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s262) | (~node4(s262)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11676,plain,
% 8.76/6.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s262) | (~node4(s262)))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11677,plain,
% 8.76/6.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s262) | (~node4(s262))),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11676, 11675])).
% 8.76/6.25 tff(11678,plain,
% 8.76/6.25 (~node4(s262)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11677, 22, 5770])).
% 8.76/6.25 tff(11679,plain,
% 8.76/6.25 (((~![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)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11680,plain,
% 8.76/6.25 ((node4(s262) | (~until5(s262)) | xuntil6(s262)) <=> (xuntil6(s262) | node4(s262) | (~until5(s262)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11681,plain,
% 8.76/6.25 (((~![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))))),
% 8.76/6.25 inference(monotonicity,[status(thm)],[11680])).
% 8.76/6.25 tff(11682,plain,
% 8.76/6.25 (((~![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)))),
% 8.76/6.25 inference(transitivity,[status(thm)],[11681, 11679])).
% 8.76/6.25 tff(11683,plain,
% 8.76/6.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s262) | (~until5(s262)) | xuntil6(s262))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11684,plain,
% 8.76/6.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s262) | node4(s262) | (~until5(s262))),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11683, 11682])).
% 8.76/6.25 tff(11685,plain,
% 8.76/6.25 (xuntil6(s262) | (~until5(s262))),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11684, 36, 11678])).
% 8.76/6.25 tff(11686,plain,
% 8.76/6.25 (xuntil6(s262)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11685, 11674])).
% 8.76/6.25 tff(11687,plain,
% 8.76/6.25 (((~![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))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11688,plain,
% 8.76/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s262, s263)) | (~xuntil6(s262)) | until5(s263))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11689,plain,
% 8.76/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s262, s263)) | (~xuntil6(s262)) | until5(s263)),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11688, 11687])).
% 8.76/6.25 tff(11690,plain,
% 8.76/6.25 ((~xuntil6(s262)) | until5(s263)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11689, 5761, 141])).
% 8.76/6.25 tff(11691,plain,
% 8.76/6.25 (until5(s263)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11690, 11686])).
% 8.76/6.25 tff(11692,plain,
% 8.76/6.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s263) | (~node4(s263)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s263) | (~node4(s263)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11693,plain,
% 8.76/6.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s263) | (~node4(s263)))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11694,plain,
% 8.76/6.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s263) | (~node4(s263))),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11693, 11692])).
% 8.76/6.25 tff(11695,plain,
% 8.76/6.25 (~node4(s263)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11694, 22, 5758])).
% 8.76/6.25 tff(11696,plain,
% 8.76/6.25 (((~![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)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11697,plain,
% 8.76/6.25 ((node4(s263) | (~until5(s263)) | xuntil6(s263)) <=> (xuntil6(s263) | node4(s263) | (~until5(s263)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11698,plain,
% 8.76/6.25 (((~![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))))),
% 8.76/6.25 inference(monotonicity,[status(thm)],[11697])).
% 8.76/6.25 tff(11699,plain,
% 8.76/6.25 (((~![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)))),
% 8.76/6.25 inference(transitivity,[status(thm)],[11698, 11696])).
% 8.76/6.25 tff(11700,plain,
% 8.76/6.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s263) | (~until5(s263)) | xuntil6(s263))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11701,plain,
% 8.76/6.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s263) | node4(s263) | (~until5(s263))),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11700, 11699])).
% 8.76/6.25 tff(11702,plain,
% 8.76/6.25 (xuntil6(s263) | (~until5(s263))),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11701, 36, 11695])).
% 8.76/6.25 tff(11703,plain,
% 8.76/6.25 (xuntil6(s263)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11702, 11691])).
% 8.76/6.25 tff(11704,plain,
% 8.76/6.25 (((~![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))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11705,plain,
% 8.76/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s263, s264)) | (~xuntil6(s263)) | until5(s264))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11706,plain,
% 8.76/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s263, s264)) | (~xuntil6(s263)) | until5(s264)),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11705, 11704])).
% 8.76/6.25 tff(11707,plain,
% 8.76/6.25 ((~xuntil6(s263)) | until5(s264)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11706, 5749, 141])).
% 8.76/6.25 tff(11708,plain,
% 8.76/6.25 (until5(s264)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11707, 11703])).
% 8.76/6.25 tff(11709,plain,
% 8.76/6.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s264) | (~node4(s264)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s264) | (~node4(s264)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11710,plain,
% 8.76/6.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s264) | (~node4(s264)))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11711,plain,
% 8.76/6.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s264) | (~node4(s264))),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11710, 11709])).
% 8.76/6.25 tff(11712,plain,
% 8.76/6.25 (~node4(s264)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11711, 22, 5746])).
% 8.76/6.25 tff(11713,plain,
% 8.76/6.25 (((~![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)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11714,plain,
% 8.76/6.25 ((node4(s264) | (~until5(s264)) | xuntil6(s264)) <=> (xuntil6(s264) | node4(s264) | (~until5(s264)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11715,plain,
% 8.76/6.25 (((~![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))))),
% 8.76/6.25 inference(monotonicity,[status(thm)],[11714])).
% 8.76/6.25 tff(11716,plain,
% 8.76/6.25 (((~![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)))),
% 8.76/6.25 inference(transitivity,[status(thm)],[11715, 11713])).
% 8.76/6.25 tff(11717,plain,
% 8.76/6.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s264) | (~until5(s264)) | xuntil6(s264))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11718,plain,
% 8.76/6.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s264) | node4(s264) | (~until5(s264))),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11717, 11716])).
% 8.76/6.25 tff(11719,plain,
% 8.76/6.25 (xuntil6(s264) | (~until5(s264))),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11718, 36, 11712])).
% 8.76/6.25 tff(11720,plain,
% 8.76/6.25 (xuntil6(s264)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11719, 11708])).
% 8.76/6.25 tff(11721,plain,
% 8.76/6.25 (((~![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))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11722,plain,
% 8.76/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s264, s265)) | (~xuntil6(s264)) | until5(s265))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11723,plain,
% 8.76/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s264, s265)) | (~xuntil6(s264)) | until5(s265)),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11722, 11721])).
% 8.76/6.25 tff(11724,plain,
% 8.76/6.25 ((~xuntil6(s264)) | until5(s265)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11723, 5737, 141])).
% 8.76/6.25 tff(11725,plain,
% 8.76/6.25 (until5(s265)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11724, 11720])).
% 8.76/6.25 tff(11726,plain,
% 8.76/6.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s265) | (~node4(s265)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s265) | (~node4(s265)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11727,plain,
% 8.76/6.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s265) | (~node4(s265)))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11728,plain,
% 8.76/6.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s265) | (~node4(s265))),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11727, 11726])).
% 8.76/6.25 tff(11729,plain,
% 8.76/6.25 (~node4(s265)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11728, 22, 5734])).
% 8.76/6.25 tff(11730,plain,
% 8.76/6.25 (((~![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)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11731,plain,
% 8.76/6.25 ((node4(s265) | (~until5(s265)) | xuntil6(s265)) <=> (xuntil6(s265) | node4(s265) | (~until5(s265)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11732,plain,
% 8.76/6.25 (((~![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))))),
% 8.76/6.25 inference(monotonicity,[status(thm)],[11731])).
% 8.76/6.25 tff(11733,plain,
% 8.76/6.25 (((~![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)))),
% 8.76/6.25 inference(transitivity,[status(thm)],[11732, 11730])).
% 8.76/6.25 tff(11734,plain,
% 8.76/6.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s265) | (~until5(s265)) | xuntil6(s265))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11735,plain,
% 8.76/6.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s265) | node4(s265) | (~until5(s265))),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11734, 11733])).
% 8.76/6.25 tff(11736,plain,
% 8.76/6.25 (xuntil6(s265) | (~until5(s265))),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11735, 36, 11729])).
% 8.76/6.25 tff(11737,plain,
% 8.76/6.25 (xuntil6(s265)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11736, 11725])).
% 8.76/6.25 tff(11738,plain,
% 8.76/6.25 (((~![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))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11739,plain,
% 8.76/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s265, s266)) | (~xuntil6(s265)) | until5(s266))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11740,plain,
% 8.76/6.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s265, s266)) | (~xuntil6(s265)) | until5(s266)),
% 8.76/6.25 inference(modus_ponens,[status(thm)],[11739, 11738])).
% 8.76/6.25 tff(11741,plain,
% 8.76/6.25 ((~xuntil6(s265)) | until5(s266)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11740, 5725, 141])).
% 8.76/6.25 tff(11742,plain,
% 8.76/6.25 (until5(s266)),
% 8.76/6.25 inference(unit_resolution,[status(thm)],[11741, 11737])).
% 8.76/6.25 tff(11743,plain,
% 8.76/6.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s266) | (~node4(s266)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s266) | (~node4(s266)))),
% 8.76/6.25 inference(rewrite,[status(thm)],[])).
% 8.76/6.25 tff(11744,plain,
% 8.76/6.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s266) | (~node4(s266)))),
% 8.76/6.25 inference(quant_inst,[status(thm)],[])).
% 8.76/6.25 tff(11745,plain,
% 8.76/6.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s266) | (~node4(s266))),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11744, 11743])).
% 8.76/6.26 tff(11746,plain,
% 8.76/6.26 (~node4(s266)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11745, 22, 5722])).
% 8.76/6.26 tff(11747,plain,
% 8.76/6.26 (((~![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)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11748,plain,
% 8.76/6.26 ((node4(s266) | (~until5(s266)) | xuntil6(s266)) <=> (xuntil6(s266) | node4(s266) | (~until5(s266)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11749,plain,
% 8.76/6.26 (((~![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))))),
% 8.76/6.26 inference(monotonicity,[status(thm)],[11748])).
% 8.76/6.26 tff(11750,plain,
% 8.76/6.26 (((~![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)))),
% 8.76/6.26 inference(transitivity,[status(thm)],[11749, 11747])).
% 8.76/6.26 tff(11751,plain,
% 8.76/6.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s266) | (~until5(s266)) | xuntil6(s266))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11752,plain,
% 8.76/6.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s266) | node4(s266) | (~until5(s266))),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11751, 11750])).
% 8.76/6.26 tff(11753,plain,
% 8.76/6.26 (xuntil6(s266) | (~until5(s266))),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11752, 36, 11746])).
% 8.76/6.26 tff(11754,plain,
% 8.76/6.26 (xuntil6(s266)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11753, 11742])).
% 8.76/6.26 tff(11755,plain,
% 8.76/6.26 (((~![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))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11756,plain,
% 8.76/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s266, s267)) | (~xuntil6(s266)) | until5(s267))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11757,plain,
% 8.76/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s266, s267)) | (~xuntil6(s266)) | until5(s267)),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11756, 11755])).
% 8.76/6.26 tff(11758,plain,
% 8.76/6.26 ((~xuntil6(s266)) | until5(s267)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11757, 5713, 141])).
% 8.76/6.26 tff(11759,plain,
% 8.76/6.26 (until5(s267)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11758, 11754])).
% 8.76/6.26 tff(11760,plain,
% 8.76/6.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s267) | (~node4(s267)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s267) | (~node4(s267)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11761,plain,
% 8.76/6.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s267) | (~node4(s267)))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11762,plain,
% 8.76/6.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s267) | (~node4(s267))),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11761, 11760])).
% 8.76/6.26 tff(11763,plain,
% 8.76/6.26 (~node4(s267)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11762, 22, 5710])).
% 8.76/6.26 tff(11764,plain,
% 8.76/6.26 (((~![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)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11765,plain,
% 8.76/6.26 ((node4(s267) | (~until5(s267)) | xuntil6(s267)) <=> (xuntil6(s267) | node4(s267) | (~until5(s267)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11766,plain,
% 8.76/6.26 (((~![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))))),
% 8.76/6.26 inference(monotonicity,[status(thm)],[11765])).
% 8.76/6.26 tff(11767,plain,
% 8.76/6.26 (((~![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)))),
% 8.76/6.26 inference(transitivity,[status(thm)],[11766, 11764])).
% 8.76/6.26 tff(11768,plain,
% 8.76/6.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s267) | (~until5(s267)) | xuntil6(s267))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11769,plain,
% 8.76/6.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s267) | node4(s267) | (~until5(s267))),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11768, 11767])).
% 8.76/6.26 tff(11770,plain,
% 8.76/6.26 (xuntil6(s267) | (~until5(s267))),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11769, 36, 11763])).
% 8.76/6.26 tff(11771,plain,
% 8.76/6.26 (xuntil6(s267)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11770, 11759])).
% 8.76/6.26 tff(11772,plain,
% 8.76/6.26 (((~![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))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11773,plain,
% 8.76/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s267, s268)) | (~xuntil6(s267)) | until5(s268))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11774,plain,
% 8.76/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s267, s268)) | (~xuntil6(s267)) | until5(s268)),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11773, 11772])).
% 8.76/6.26 tff(11775,plain,
% 8.76/6.26 ((~xuntil6(s267)) | until5(s268)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11774, 5701, 141])).
% 8.76/6.26 tff(11776,plain,
% 8.76/6.26 (until5(s268)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11775, 11771])).
% 8.76/6.26 tff(11777,plain,
% 8.76/6.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s268) | (~node4(s268)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s268) | (~node4(s268)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11778,plain,
% 8.76/6.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s268) | (~node4(s268)))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11779,plain,
% 8.76/6.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s268) | (~node4(s268))),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11778, 11777])).
% 8.76/6.26 tff(11780,plain,
% 8.76/6.26 (~node4(s268)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11779, 22, 5698])).
% 8.76/6.26 tff(11781,plain,
% 8.76/6.26 (((~![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)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11782,plain,
% 8.76/6.26 ((node4(s268) | (~until5(s268)) | xuntil6(s268)) <=> (xuntil6(s268) | node4(s268) | (~until5(s268)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11783,plain,
% 8.76/6.26 (((~![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))))),
% 8.76/6.26 inference(monotonicity,[status(thm)],[11782])).
% 8.76/6.26 tff(11784,plain,
% 8.76/6.26 (((~![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)))),
% 8.76/6.26 inference(transitivity,[status(thm)],[11783, 11781])).
% 8.76/6.26 tff(11785,plain,
% 8.76/6.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s268) | (~until5(s268)) | xuntil6(s268))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11786,plain,
% 8.76/6.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s268) | node4(s268) | (~until5(s268))),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11785, 11784])).
% 8.76/6.26 tff(11787,plain,
% 8.76/6.26 (xuntil6(s268) | (~until5(s268))),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11786, 36, 11780])).
% 8.76/6.26 tff(11788,plain,
% 8.76/6.26 (xuntil6(s268)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11787, 11776])).
% 8.76/6.26 tff(11789,plain,
% 8.76/6.26 (((~![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))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11790,plain,
% 8.76/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s268, s269)) | (~xuntil6(s268)) | until5(s269))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11791,plain,
% 8.76/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s268, s269)) | (~xuntil6(s268)) | until5(s269)),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11790, 11789])).
% 8.76/6.26 tff(11792,plain,
% 8.76/6.26 ((~xuntil6(s268)) | until5(s269)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11791, 5689, 141])).
% 8.76/6.26 tff(11793,plain,
% 8.76/6.26 (until5(s269)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11792, 11788])).
% 8.76/6.26 tff(11794,plain,
% 8.76/6.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s269) | (~node4(s269)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s269) | (~node4(s269)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11795,plain,
% 8.76/6.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s269) | (~node4(s269)))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11796,plain,
% 8.76/6.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s269) | (~node4(s269))),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11795, 11794])).
% 8.76/6.26 tff(11797,plain,
% 8.76/6.26 (~node4(s269)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11796, 22, 5686])).
% 8.76/6.26 tff(11798,plain,
% 8.76/6.26 (((~![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)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11799,plain,
% 8.76/6.26 ((node4(s269) | (~until5(s269)) | xuntil6(s269)) <=> (xuntil6(s269) | node4(s269) | (~until5(s269)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11800,plain,
% 8.76/6.26 (((~![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))))),
% 8.76/6.26 inference(monotonicity,[status(thm)],[11799])).
% 8.76/6.26 tff(11801,plain,
% 8.76/6.26 (((~![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)))),
% 8.76/6.26 inference(transitivity,[status(thm)],[11800, 11798])).
% 8.76/6.26 tff(11802,plain,
% 8.76/6.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s269) | (~until5(s269)) | xuntil6(s269))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11803,plain,
% 8.76/6.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s269) | node4(s269) | (~until5(s269))),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11802, 11801])).
% 8.76/6.26 tff(11804,plain,
% 8.76/6.26 (xuntil6(s269) | (~until5(s269))),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11803, 36, 11797])).
% 8.76/6.26 tff(11805,plain,
% 8.76/6.26 (xuntil6(s269)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11804, 11793])).
% 8.76/6.26 tff(11806,plain,
% 8.76/6.26 (((~![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))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11807,plain,
% 8.76/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s269, s270)) | (~xuntil6(s269)) | until5(s270))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11808,plain,
% 8.76/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s269, s270)) | (~xuntil6(s269)) | until5(s270)),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11807, 11806])).
% 8.76/6.26 tff(11809,plain,
% 8.76/6.26 ((~xuntil6(s269)) | until5(s270)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11808, 5677, 141])).
% 8.76/6.26 tff(11810,plain,
% 8.76/6.26 (until5(s270)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11809, 11805])).
% 8.76/6.26 tff(11811,plain,
% 8.76/6.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s270) | (~node4(s270)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s270) | (~node4(s270)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11812,plain,
% 8.76/6.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s270) | (~node4(s270)))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11813,plain,
% 8.76/6.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s270) | (~node4(s270))),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11812, 11811])).
% 8.76/6.26 tff(11814,plain,
% 8.76/6.26 (~node4(s270)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11813, 22, 5674])).
% 8.76/6.26 tff(11815,plain,
% 8.76/6.26 (((~![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)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11816,plain,
% 8.76/6.26 ((node4(s270) | (~until5(s270)) | xuntil6(s270)) <=> (xuntil6(s270) | node4(s270) | (~until5(s270)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11817,plain,
% 8.76/6.26 (((~![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))))),
% 8.76/6.26 inference(monotonicity,[status(thm)],[11816])).
% 8.76/6.26 tff(11818,plain,
% 8.76/6.26 (((~![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)))),
% 8.76/6.26 inference(transitivity,[status(thm)],[11817, 11815])).
% 8.76/6.26 tff(11819,plain,
% 8.76/6.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s270) | (~until5(s270)) | xuntil6(s270))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11820,plain,
% 8.76/6.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s270) | node4(s270) | (~until5(s270))),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11819, 11818])).
% 8.76/6.26 tff(11821,plain,
% 8.76/6.26 (xuntil6(s270) | (~until5(s270))),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11820, 36, 11814])).
% 8.76/6.26 tff(11822,plain,
% 8.76/6.26 (xuntil6(s270)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11821, 11810])).
% 8.76/6.26 tff(11823,plain,
% 8.76/6.26 (((~![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))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11824,plain,
% 8.76/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s270, s271)) | (~xuntil6(s270)) | until5(s271))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11825,plain,
% 8.76/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s270, s271)) | (~xuntil6(s270)) | until5(s271)),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11824, 11823])).
% 8.76/6.26 tff(11826,plain,
% 8.76/6.26 ((~xuntil6(s270)) | until5(s271)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11825, 5665, 141])).
% 8.76/6.26 tff(11827,plain,
% 8.76/6.26 (until5(s271)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11826, 11822])).
% 8.76/6.26 tff(11828,plain,
% 8.76/6.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s271) | (~node4(s271)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s271) | (~node4(s271)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11829,plain,
% 8.76/6.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s271) | (~node4(s271)))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11830,plain,
% 8.76/6.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s271) | (~node4(s271))),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11829, 11828])).
% 8.76/6.26 tff(11831,plain,
% 8.76/6.26 (~node4(s271)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11830, 22, 5662])).
% 8.76/6.26 tff(11832,plain,
% 8.76/6.26 (((~![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)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11833,plain,
% 8.76/6.26 ((node4(s271) | (~until5(s271)) | xuntil6(s271)) <=> (xuntil6(s271) | node4(s271) | (~until5(s271)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11834,plain,
% 8.76/6.26 (((~![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))))),
% 8.76/6.26 inference(monotonicity,[status(thm)],[11833])).
% 8.76/6.26 tff(11835,plain,
% 8.76/6.26 (((~![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)))),
% 8.76/6.26 inference(transitivity,[status(thm)],[11834, 11832])).
% 8.76/6.26 tff(11836,plain,
% 8.76/6.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s271) | (~until5(s271)) | xuntil6(s271))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11837,plain,
% 8.76/6.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s271) | node4(s271) | (~until5(s271))),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11836, 11835])).
% 8.76/6.26 tff(11838,plain,
% 8.76/6.26 (xuntil6(s271) | (~until5(s271))),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11837, 36, 11831])).
% 8.76/6.26 tff(11839,plain,
% 8.76/6.26 (xuntil6(s271)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11838, 11827])).
% 8.76/6.26 tff(11840,plain,
% 8.76/6.26 (((~![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))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11841,plain,
% 8.76/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s271, s272)) | (~xuntil6(s271)) | until5(s272))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11842,plain,
% 8.76/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s271, s272)) | (~xuntil6(s271)) | until5(s272)),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11841, 11840])).
% 8.76/6.26 tff(11843,plain,
% 8.76/6.26 ((~xuntil6(s271)) | until5(s272)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11842, 5653, 141])).
% 8.76/6.26 tff(11844,plain,
% 8.76/6.26 (until5(s272)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11843, 11839])).
% 8.76/6.26 tff(11845,plain,
% 8.76/6.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s272) | (~node4(s272)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s272) | (~node4(s272)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11846,plain,
% 8.76/6.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s272) | (~node4(s272)))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11847,plain,
% 8.76/6.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s272) | (~node4(s272))),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11846, 11845])).
% 8.76/6.26 tff(11848,plain,
% 8.76/6.26 (~node4(s272)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11847, 22, 5650])).
% 8.76/6.26 tff(11849,plain,
% 8.76/6.26 (((~![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)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11850,plain,
% 8.76/6.26 ((node4(s272) | (~until5(s272)) | xuntil6(s272)) <=> (xuntil6(s272) | node4(s272) | (~until5(s272)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11851,plain,
% 8.76/6.26 (((~![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))))),
% 8.76/6.26 inference(monotonicity,[status(thm)],[11850])).
% 8.76/6.26 tff(11852,plain,
% 8.76/6.26 (((~![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)))),
% 8.76/6.26 inference(transitivity,[status(thm)],[11851, 11849])).
% 8.76/6.26 tff(11853,plain,
% 8.76/6.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s272) | (~until5(s272)) | xuntil6(s272))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11854,plain,
% 8.76/6.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s272) | node4(s272) | (~until5(s272))),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11853, 11852])).
% 8.76/6.26 tff(11855,plain,
% 8.76/6.26 (xuntil6(s272) | (~until5(s272))),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11854, 36, 11848])).
% 8.76/6.26 tff(11856,plain,
% 8.76/6.26 (xuntil6(s272)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11855, 11844])).
% 8.76/6.26 tff(11857,plain,
% 8.76/6.26 (((~![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))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11858,plain,
% 8.76/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s272, s273)) | (~xuntil6(s272)) | until5(s273))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11859,plain,
% 8.76/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s272, s273)) | (~xuntil6(s272)) | until5(s273)),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11858, 11857])).
% 8.76/6.26 tff(11860,plain,
% 8.76/6.26 ((~xuntil6(s272)) | until5(s273)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11859, 5641, 141])).
% 8.76/6.26 tff(11861,plain,
% 8.76/6.26 (until5(s273)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11860, 11856])).
% 8.76/6.26 tff(11862,plain,
% 8.76/6.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s273) | (~node4(s273)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s273) | (~node4(s273)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11863,plain,
% 8.76/6.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s273) | (~node4(s273)))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11864,plain,
% 8.76/6.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s273) | (~node4(s273))),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11863, 11862])).
% 8.76/6.26 tff(11865,plain,
% 8.76/6.26 (~node4(s273)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11864, 22, 5638])).
% 8.76/6.26 tff(11866,plain,
% 8.76/6.26 (((~![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)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11867,plain,
% 8.76/6.26 ((node4(s273) | (~until5(s273)) | xuntil6(s273)) <=> (xuntil6(s273) | node4(s273) | (~until5(s273)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11868,plain,
% 8.76/6.26 (((~![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))))),
% 8.76/6.26 inference(monotonicity,[status(thm)],[11867])).
% 8.76/6.26 tff(11869,plain,
% 8.76/6.26 (((~![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)))),
% 8.76/6.26 inference(transitivity,[status(thm)],[11868, 11866])).
% 8.76/6.26 tff(11870,plain,
% 8.76/6.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s273) | (~until5(s273)) | xuntil6(s273))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11871,plain,
% 8.76/6.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s273) | node4(s273) | (~until5(s273))),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11870, 11869])).
% 8.76/6.26 tff(11872,plain,
% 8.76/6.26 (xuntil6(s273) | (~until5(s273))),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11871, 36, 11865])).
% 8.76/6.26 tff(11873,plain,
% 8.76/6.26 (xuntil6(s273)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11872, 11861])).
% 8.76/6.26 tff(11874,plain,
% 8.76/6.26 (((~![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))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11875,plain,
% 8.76/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s273, s274)) | (~xuntil6(s273)) | until5(s274))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11876,plain,
% 8.76/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s273, s274)) | (~xuntil6(s273)) | until5(s274)),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11875, 11874])).
% 8.76/6.26 tff(11877,plain,
% 8.76/6.26 ((~xuntil6(s273)) | until5(s274)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11876, 5629, 141])).
% 8.76/6.26 tff(11878,plain,
% 8.76/6.26 (until5(s274)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11877, 11873])).
% 8.76/6.26 tff(11879,plain,
% 8.76/6.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s274) | (~node4(s274)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s274) | (~node4(s274)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11880,plain,
% 8.76/6.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s274) | (~node4(s274)))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11881,plain,
% 8.76/6.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s274) | (~node4(s274))),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11880, 11879])).
% 8.76/6.26 tff(11882,plain,
% 8.76/6.26 (~node4(s274)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11881, 22, 5626])).
% 8.76/6.26 tff(11883,plain,
% 8.76/6.26 (((~![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)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11884,plain,
% 8.76/6.26 ((node4(s274) | (~until5(s274)) | xuntil6(s274)) <=> (xuntil6(s274) | node4(s274) | (~until5(s274)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11885,plain,
% 8.76/6.26 (((~![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))))),
% 8.76/6.26 inference(monotonicity,[status(thm)],[11884])).
% 8.76/6.26 tff(11886,plain,
% 8.76/6.26 (((~![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)))),
% 8.76/6.26 inference(transitivity,[status(thm)],[11885, 11883])).
% 8.76/6.26 tff(11887,plain,
% 8.76/6.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s274) | (~until5(s274)) | xuntil6(s274))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11888,plain,
% 8.76/6.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s274) | node4(s274) | (~until5(s274))),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11887, 11886])).
% 8.76/6.26 tff(11889,plain,
% 8.76/6.26 (xuntil6(s274) | (~until5(s274))),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11888, 36, 11882])).
% 8.76/6.26 tff(11890,plain,
% 8.76/6.26 (xuntil6(s274)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11889, 11878])).
% 8.76/6.26 tff(11891,plain,
% 8.76/6.26 (((~![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))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11892,plain,
% 8.76/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s274, s275)) | (~xuntil6(s274)) | until5(s275))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11893,plain,
% 8.76/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s274, s275)) | (~xuntil6(s274)) | until5(s275)),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11892, 11891])).
% 8.76/6.26 tff(11894,plain,
% 8.76/6.26 ((~xuntil6(s274)) | until5(s275)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11893, 5617, 141])).
% 8.76/6.26 tff(11895,plain,
% 8.76/6.26 (until5(s275)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11894, 11890])).
% 8.76/6.26 tff(11896,plain,
% 8.76/6.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s275) | (~node4(s275)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s275) | (~node4(s275)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11897,plain,
% 8.76/6.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s275) | (~node4(s275)))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11898,plain,
% 8.76/6.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s275) | (~node4(s275))),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11897, 11896])).
% 8.76/6.26 tff(11899,plain,
% 8.76/6.26 (~node4(s275)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11898, 22, 5614])).
% 8.76/6.26 tff(11900,plain,
% 8.76/6.26 (((~![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)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11901,plain,
% 8.76/6.26 ((node4(s275) | (~until5(s275)) | xuntil6(s275)) <=> (xuntil6(s275) | node4(s275) | (~until5(s275)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11902,plain,
% 8.76/6.26 (((~![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))))),
% 8.76/6.26 inference(monotonicity,[status(thm)],[11901])).
% 8.76/6.26 tff(11903,plain,
% 8.76/6.26 (((~![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)))),
% 8.76/6.26 inference(transitivity,[status(thm)],[11902, 11900])).
% 8.76/6.26 tff(11904,plain,
% 8.76/6.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s275) | (~until5(s275)) | xuntil6(s275))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11905,plain,
% 8.76/6.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s275) | node4(s275) | (~until5(s275))),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11904, 11903])).
% 8.76/6.26 tff(11906,plain,
% 8.76/6.26 (xuntil6(s275) | (~until5(s275))),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11905, 36, 11899])).
% 8.76/6.26 tff(11907,plain,
% 8.76/6.26 (xuntil6(s275)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11906, 11895])).
% 8.76/6.26 tff(11908,plain,
% 8.76/6.26 (((~![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))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11909,plain,
% 8.76/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s275, s276)) | (~xuntil6(s275)) | until5(s276))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11910,plain,
% 8.76/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s275, s276)) | (~xuntil6(s275)) | until5(s276)),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11909, 11908])).
% 8.76/6.26 tff(11911,plain,
% 8.76/6.26 ((~xuntil6(s275)) | until5(s276)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11910, 5605, 141])).
% 8.76/6.26 tff(11912,plain,
% 8.76/6.26 (until5(s276)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11911, 11907])).
% 8.76/6.26 tff(11913,plain,
% 8.76/6.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s276) | (~node4(s276)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s276) | (~node4(s276)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11914,plain,
% 8.76/6.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s276) | (~node4(s276)))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11915,plain,
% 8.76/6.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s276) | (~node4(s276))),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11914, 11913])).
% 8.76/6.26 tff(11916,plain,
% 8.76/6.26 (~node4(s276)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11915, 22, 5602])).
% 8.76/6.26 tff(11917,plain,
% 8.76/6.26 (((~![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)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11918,plain,
% 8.76/6.26 ((node4(s276) | (~until5(s276)) | xuntil6(s276)) <=> (xuntil6(s276) | node4(s276) | (~until5(s276)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11919,plain,
% 8.76/6.26 (((~![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))))),
% 8.76/6.26 inference(monotonicity,[status(thm)],[11918])).
% 8.76/6.26 tff(11920,plain,
% 8.76/6.26 (((~![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)))),
% 8.76/6.26 inference(transitivity,[status(thm)],[11919, 11917])).
% 8.76/6.26 tff(11921,plain,
% 8.76/6.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s276) | (~until5(s276)) | xuntil6(s276))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11922,plain,
% 8.76/6.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s276) | node4(s276) | (~until5(s276))),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11921, 11920])).
% 8.76/6.26 tff(11923,plain,
% 8.76/6.26 (xuntil6(s276) | (~until5(s276))),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11922, 36, 11916])).
% 8.76/6.26 tff(11924,plain,
% 8.76/6.26 (xuntil6(s276)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11923, 11912])).
% 8.76/6.26 tff(11925,plain,
% 8.76/6.26 (((~![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))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11926,plain,
% 8.76/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s276, s277)) | (~xuntil6(s276)) | until5(s277))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11927,plain,
% 8.76/6.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s276, s277)) | (~xuntil6(s276)) | until5(s277)),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11926, 11925])).
% 8.76/6.26 tff(11928,plain,
% 8.76/6.26 ((~xuntil6(s276)) | until5(s277)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11927, 5593, 141])).
% 8.76/6.26 tff(11929,plain,
% 8.76/6.26 (until5(s277)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11928, 11924])).
% 8.76/6.26 tff(11930,plain,
% 8.76/6.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s277) | (~node4(s277)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s277) | (~node4(s277)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11931,plain,
% 8.76/6.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s277) | (~node4(s277)))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11932,plain,
% 8.76/6.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s277) | (~node4(s277))),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11931, 11930])).
% 8.76/6.26 tff(11933,plain,
% 8.76/6.26 (~node4(s277)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11932, 22, 5590])).
% 8.76/6.26 tff(11934,plain,
% 8.76/6.26 (((~![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)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11935,plain,
% 8.76/6.26 ((node4(s277) | (~until5(s277)) | xuntil6(s277)) <=> (xuntil6(s277) | node4(s277) | (~until5(s277)))),
% 8.76/6.26 inference(rewrite,[status(thm)],[])).
% 8.76/6.26 tff(11936,plain,
% 8.76/6.26 (((~![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))))),
% 8.76/6.26 inference(monotonicity,[status(thm)],[11935])).
% 8.76/6.26 tff(11937,plain,
% 8.76/6.26 (((~![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)))),
% 8.76/6.26 inference(transitivity,[status(thm)],[11936, 11934])).
% 8.76/6.26 tff(11938,plain,
% 8.76/6.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s277) | (~until5(s277)) | xuntil6(s277))),
% 8.76/6.26 inference(quant_inst,[status(thm)],[])).
% 8.76/6.26 tff(11939,plain,
% 8.76/6.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s277) | node4(s277) | (~until5(s277))),
% 8.76/6.26 inference(modus_ponens,[status(thm)],[11938, 11937])).
% 8.76/6.26 tff(11940,plain,
% 8.76/6.26 (xuntil6(s277) | (~until5(s277))),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11939, 36, 11933])).
% 8.76/6.26 tff(11941,plain,
% 8.76/6.26 (xuntil6(s277)),
% 8.76/6.26 inference(unit_resolution,[status(thm)],[11940, 11929])).
% 8.76/6.26 tff(11942,plain,
% 8.76/6.26 (((~![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))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(11943,plain,
% 8.76/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s277, s278)) | (~xuntil6(s277)) | until5(s278))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(11944,plain,
% 8.76/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s277, s278)) | (~xuntil6(s277)) | until5(s278)),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[11943, 11942])).
% 8.76/6.27 tff(11945,plain,
% 8.76/6.27 ((~xuntil6(s277)) | until5(s278)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[11944, 5581, 141])).
% 8.76/6.27 tff(11946,plain,
% 8.76/6.27 (until5(s278)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[11945, 11941])).
% 8.76/6.27 tff(11947,plain,
% 8.76/6.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s278) | (~node4(s278)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s278) | (~node4(s278)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(11948,plain,
% 8.76/6.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s278) | (~node4(s278)))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(11949,plain,
% 8.76/6.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s278) | (~node4(s278))),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[11948, 11947])).
% 8.76/6.27 tff(11950,plain,
% 8.76/6.27 (~node4(s278)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[11949, 22, 5578])).
% 8.76/6.27 tff(11951,plain,
% 8.76/6.27 (((~![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)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(11952,plain,
% 8.76/6.27 ((node4(s278) | (~until5(s278)) | xuntil6(s278)) <=> (xuntil6(s278) | node4(s278) | (~until5(s278)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(11953,plain,
% 8.76/6.27 (((~![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))))),
% 8.76/6.27 inference(monotonicity,[status(thm)],[11952])).
% 8.76/6.27 tff(11954,plain,
% 8.76/6.27 (((~![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)))),
% 8.76/6.27 inference(transitivity,[status(thm)],[11953, 11951])).
% 8.76/6.27 tff(11955,plain,
% 8.76/6.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s278) | (~until5(s278)) | xuntil6(s278))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(11956,plain,
% 8.76/6.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s278) | node4(s278) | (~until5(s278))),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[11955, 11954])).
% 8.76/6.27 tff(11957,plain,
% 8.76/6.27 (xuntil6(s278) | (~until5(s278))),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[11956, 36, 11950])).
% 8.76/6.27 tff(11958,plain,
% 8.76/6.27 (xuntil6(s278)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[11957, 11946])).
% 8.76/6.27 tff(11959,plain,
% 8.76/6.27 (((~![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))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(11960,plain,
% 8.76/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s278, s279)) | (~xuntil6(s278)) | until5(s279))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(11961,plain,
% 8.76/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s278, s279)) | (~xuntil6(s278)) | until5(s279)),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[11960, 11959])).
% 8.76/6.27 tff(11962,plain,
% 8.76/6.27 ((~xuntil6(s278)) | until5(s279)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[11961, 5569, 141])).
% 8.76/6.27 tff(11963,plain,
% 8.76/6.27 (until5(s279)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[11962, 11958])).
% 8.76/6.27 tff(11964,plain,
% 8.76/6.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s279) | (~node4(s279)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s279) | (~node4(s279)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(11965,plain,
% 8.76/6.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s279) | (~node4(s279)))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(11966,plain,
% 8.76/6.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s279) | (~node4(s279))),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[11965, 11964])).
% 8.76/6.27 tff(11967,plain,
% 8.76/6.27 (~node4(s279)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[11966, 22, 5566])).
% 8.76/6.27 tff(11968,plain,
% 8.76/6.27 (((~![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)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(11969,plain,
% 8.76/6.27 ((node4(s279) | (~until5(s279)) | xuntil6(s279)) <=> (xuntil6(s279) | node4(s279) | (~until5(s279)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(11970,plain,
% 8.76/6.27 (((~![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))))),
% 8.76/6.27 inference(monotonicity,[status(thm)],[11969])).
% 8.76/6.27 tff(11971,plain,
% 8.76/6.27 (((~![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)))),
% 8.76/6.27 inference(transitivity,[status(thm)],[11970, 11968])).
% 8.76/6.27 tff(11972,plain,
% 8.76/6.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s279) | (~until5(s279)) | xuntil6(s279))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(11973,plain,
% 8.76/6.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s279) | node4(s279) | (~until5(s279))),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[11972, 11971])).
% 8.76/6.27 tff(11974,plain,
% 8.76/6.27 (xuntil6(s279) | (~until5(s279))),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[11973, 36, 11967])).
% 8.76/6.27 tff(11975,plain,
% 8.76/6.27 (xuntil6(s279)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[11974, 11963])).
% 8.76/6.27 tff(11976,plain,
% 8.76/6.27 (((~![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))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(11977,plain,
% 8.76/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s279, s280)) | (~xuntil6(s279)) | until5(s280))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(11978,plain,
% 8.76/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s279, s280)) | (~xuntil6(s279)) | until5(s280)),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[11977, 11976])).
% 8.76/6.27 tff(11979,plain,
% 8.76/6.27 ((~xuntil6(s279)) | until5(s280)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[11978, 5557, 141])).
% 8.76/6.27 tff(11980,plain,
% 8.76/6.27 (until5(s280)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[11979, 11975])).
% 8.76/6.27 tff(11981,plain,
% 8.76/6.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s280) | (~node4(s280)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s280) | (~node4(s280)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(11982,plain,
% 8.76/6.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s280) | (~node4(s280)))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(11983,plain,
% 8.76/6.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s280) | (~node4(s280))),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[11982, 11981])).
% 8.76/6.27 tff(11984,plain,
% 8.76/6.27 (~node4(s280)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[11983, 22, 5554])).
% 8.76/6.27 tff(11985,plain,
% 8.76/6.27 (((~![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)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(11986,plain,
% 8.76/6.27 ((node4(s280) | (~until5(s280)) | xuntil6(s280)) <=> (xuntil6(s280) | node4(s280) | (~until5(s280)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(11987,plain,
% 8.76/6.27 (((~![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))))),
% 8.76/6.27 inference(monotonicity,[status(thm)],[11986])).
% 8.76/6.27 tff(11988,plain,
% 8.76/6.27 (((~![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)))),
% 8.76/6.27 inference(transitivity,[status(thm)],[11987, 11985])).
% 8.76/6.27 tff(11989,plain,
% 8.76/6.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s280) | (~until5(s280)) | xuntil6(s280))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(11990,plain,
% 8.76/6.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s280) | node4(s280) | (~until5(s280))),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[11989, 11988])).
% 8.76/6.27 tff(11991,plain,
% 8.76/6.27 (xuntil6(s280) | (~until5(s280))),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[11990, 36, 11984])).
% 8.76/6.27 tff(11992,plain,
% 8.76/6.27 (xuntil6(s280)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[11991, 11980])).
% 8.76/6.27 tff(11993,plain,
% 8.76/6.27 (((~![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))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(11994,plain,
% 8.76/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s280, s281)) | (~xuntil6(s280)) | until5(s281))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(11995,plain,
% 8.76/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s280, s281)) | (~xuntil6(s280)) | until5(s281)),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[11994, 11993])).
% 8.76/6.27 tff(11996,plain,
% 8.76/6.27 ((~xuntil6(s280)) | until5(s281)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[11995, 5545, 141])).
% 8.76/6.27 tff(11997,plain,
% 8.76/6.27 (until5(s281)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[11996, 11992])).
% 8.76/6.27 tff(11998,plain,
% 8.76/6.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s281) | (~node4(s281)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s281) | (~node4(s281)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(11999,plain,
% 8.76/6.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s281) | (~node4(s281)))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(12000,plain,
% 8.76/6.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s281) | (~node4(s281))),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[11999, 11998])).
% 8.76/6.27 tff(12001,plain,
% 8.76/6.27 (~node4(s281)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12000, 22, 5542])).
% 8.76/6.27 tff(12002,plain,
% 8.76/6.27 (((~![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)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12003,plain,
% 8.76/6.27 ((node4(s281) | (~until5(s281)) | xuntil6(s281)) <=> (xuntil6(s281) | node4(s281) | (~until5(s281)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12004,plain,
% 8.76/6.27 (((~![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))))),
% 8.76/6.27 inference(monotonicity,[status(thm)],[12003])).
% 8.76/6.27 tff(12005,plain,
% 8.76/6.27 (((~![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)))),
% 8.76/6.27 inference(transitivity,[status(thm)],[12004, 12002])).
% 8.76/6.27 tff(12006,plain,
% 8.76/6.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s281) | (~until5(s281)) | xuntil6(s281))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(12007,plain,
% 8.76/6.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s281) | node4(s281) | (~until5(s281))),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[12006, 12005])).
% 8.76/6.27 tff(12008,plain,
% 8.76/6.27 (xuntil6(s281) | (~until5(s281))),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12007, 36, 12001])).
% 8.76/6.27 tff(12009,plain,
% 8.76/6.27 (xuntil6(s281)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12008, 11997])).
% 8.76/6.27 tff(12010,plain,
% 8.76/6.27 (((~![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))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12011,plain,
% 8.76/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s281, s282)) | (~xuntil6(s281)) | until5(s282))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(12012,plain,
% 8.76/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s281, s282)) | (~xuntil6(s281)) | until5(s282)),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[12011, 12010])).
% 8.76/6.27 tff(12013,plain,
% 8.76/6.27 ((~xuntil6(s281)) | until5(s282)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12012, 5533, 141])).
% 8.76/6.27 tff(12014,plain,
% 8.76/6.27 (until5(s282)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12013, 12009])).
% 8.76/6.27 tff(12015,plain,
% 8.76/6.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s282) | (~node4(s282)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s282) | (~node4(s282)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12016,plain,
% 8.76/6.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s282) | (~node4(s282)))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(12017,plain,
% 8.76/6.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s282) | (~node4(s282))),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[12016, 12015])).
% 8.76/6.27 tff(12018,plain,
% 8.76/6.27 (~node4(s282)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12017, 22, 5530])).
% 8.76/6.27 tff(12019,plain,
% 8.76/6.27 (((~![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)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12020,plain,
% 8.76/6.27 ((node4(s282) | (~until5(s282)) | xuntil6(s282)) <=> (xuntil6(s282) | node4(s282) | (~until5(s282)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12021,plain,
% 8.76/6.27 (((~![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))))),
% 8.76/6.27 inference(monotonicity,[status(thm)],[12020])).
% 8.76/6.27 tff(12022,plain,
% 8.76/6.27 (((~![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)))),
% 8.76/6.27 inference(transitivity,[status(thm)],[12021, 12019])).
% 8.76/6.27 tff(12023,plain,
% 8.76/6.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s282) | (~until5(s282)) | xuntil6(s282))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(12024,plain,
% 8.76/6.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s282) | node4(s282) | (~until5(s282))),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[12023, 12022])).
% 8.76/6.27 tff(12025,plain,
% 8.76/6.27 (xuntil6(s282) | (~until5(s282))),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12024, 36, 12018])).
% 8.76/6.27 tff(12026,plain,
% 8.76/6.27 (xuntil6(s282)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12025, 12014])).
% 8.76/6.27 tff(12027,plain,
% 8.76/6.27 (((~![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))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12028,plain,
% 8.76/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s282, s283)) | (~xuntil6(s282)) | until5(s283))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(12029,plain,
% 8.76/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s282, s283)) | (~xuntil6(s282)) | until5(s283)),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[12028, 12027])).
% 8.76/6.27 tff(12030,plain,
% 8.76/6.27 ((~xuntil6(s282)) | until5(s283)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12029, 5521, 141])).
% 8.76/6.27 tff(12031,plain,
% 8.76/6.27 (until5(s283)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12030, 12026])).
% 8.76/6.27 tff(12032,plain,
% 8.76/6.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s283) | (~node4(s283)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s283) | (~node4(s283)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12033,plain,
% 8.76/6.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s283) | (~node4(s283)))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(12034,plain,
% 8.76/6.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s283) | (~node4(s283))),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[12033, 12032])).
% 8.76/6.27 tff(12035,plain,
% 8.76/6.27 (~node4(s283)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12034, 22, 5518])).
% 8.76/6.27 tff(12036,plain,
% 8.76/6.27 (((~![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)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12037,plain,
% 8.76/6.27 ((node4(s283) | (~until5(s283)) | xuntil6(s283)) <=> (xuntil6(s283) | node4(s283) | (~until5(s283)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12038,plain,
% 8.76/6.27 (((~![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))))),
% 8.76/6.27 inference(monotonicity,[status(thm)],[12037])).
% 8.76/6.27 tff(12039,plain,
% 8.76/6.27 (((~![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)))),
% 8.76/6.27 inference(transitivity,[status(thm)],[12038, 12036])).
% 8.76/6.27 tff(12040,plain,
% 8.76/6.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s283) | (~until5(s283)) | xuntil6(s283))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(12041,plain,
% 8.76/6.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s283) | node4(s283) | (~until5(s283))),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[12040, 12039])).
% 8.76/6.27 tff(12042,plain,
% 8.76/6.27 (xuntil6(s283) | (~until5(s283))),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12041, 36, 12035])).
% 8.76/6.27 tff(12043,plain,
% 8.76/6.27 (xuntil6(s283)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12042, 12031])).
% 8.76/6.27 tff(12044,plain,
% 8.76/6.27 (((~![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))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12045,plain,
% 8.76/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s283, s284)) | (~xuntil6(s283)) | until5(s284))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(12046,plain,
% 8.76/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s283, s284)) | (~xuntil6(s283)) | until5(s284)),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[12045, 12044])).
% 8.76/6.27 tff(12047,plain,
% 8.76/6.27 ((~xuntil6(s283)) | until5(s284)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12046, 5509, 141])).
% 8.76/6.27 tff(12048,plain,
% 8.76/6.27 (until5(s284)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12047, 12043])).
% 8.76/6.27 tff(12049,plain,
% 8.76/6.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s284) | (~node4(s284)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s284) | (~node4(s284)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12050,plain,
% 8.76/6.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s284) | (~node4(s284)))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(12051,plain,
% 8.76/6.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s284) | (~node4(s284))),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[12050, 12049])).
% 8.76/6.27 tff(12052,plain,
% 8.76/6.27 (~node4(s284)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12051, 22, 5506])).
% 8.76/6.27 tff(12053,plain,
% 8.76/6.27 (((~![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)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12054,plain,
% 8.76/6.27 ((node4(s284) | (~until5(s284)) | xuntil6(s284)) <=> (xuntil6(s284) | node4(s284) | (~until5(s284)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12055,plain,
% 8.76/6.27 (((~![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))))),
% 8.76/6.27 inference(monotonicity,[status(thm)],[12054])).
% 8.76/6.27 tff(12056,plain,
% 8.76/6.27 (((~![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)))),
% 8.76/6.27 inference(transitivity,[status(thm)],[12055, 12053])).
% 8.76/6.27 tff(12057,plain,
% 8.76/6.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s284) | (~until5(s284)) | xuntil6(s284))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(12058,plain,
% 8.76/6.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s284) | node4(s284) | (~until5(s284))),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[12057, 12056])).
% 8.76/6.27 tff(12059,plain,
% 8.76/6.27 (xuntil6(s284) | (~until5(s284))),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12058, 36, 12052])).
% 8.76/6.27 tff(12060,plain,
% 8.76/6.27 (xuntil6(s284)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12059, 12048])).
% 8.76/6.27 tff(12061,plain,
% 8.76/6.27 (((~![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))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12062,plain,
% 8.76/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s284, s285)) | (~xuntil6(s284)) | until5(s285))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(12063,plain,
% 8.76/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s284, s285)) | (~xuntil6(s284)) | until5(s285)),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[12062, 12061])).
% 8.76/6.27 tff(12064,plain,
% 8.76/6.27 ((~xuntil6(s284)) | until5(s285)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12063, 5497, 141])).
% 8.76/6.27 tff(12065,plain,
% 8.76/6.27 (until5(s285)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12064, 12060])).
% 8.76/6.27 tff(12066,plain,
% 8.76/6.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s285) | (~node4(s285)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s285) | (~node4(s285)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12067,plain,
% 8.76/6.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s285) | (~node4(s285)))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(12068,plain,
% 8.76/6.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s285) | (~node4(s285))),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[12067, 12066])).
% 8.76/6.27 tff(12069,plain,
% 8.76/6.27 (~node4(s285)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12068, 22, 5494])).
% 8.76/6.27 tff(12070,plain,
% 8.76/6.27 (((~![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)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12071,plain,
% 8.76/6.27 ((node4(s285) | (~until5(s285)) | xuntil6(s285)) <=> (xuntil6(s285) | node4(s285) | (~until5(s285)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12072,plain,
% 8.76/6.27 (((~![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))))),
% 8.76/6.27 inference(monotonicity,[status(thm)],[12071])).
% 8.76/6.27 tff(12073,plain,
% 8.76/6.27 (((~![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)))),
% 8.76/6.27 inference(transitivity,[status(thm)],[12072, 12070])).
% 8.76/6.27 tff(12074,plain,
% 8.76/6.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s285) | (~until5(s285)) | xuntil6(s285))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(12075,plain,
% 8.76/6.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s285) | node4(s285) | (~until5(s285))),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[12074, 12073])).
% 8.76/6.27 tff(12076,plain,
% 8.76/6.27 (xuntil6(s285) | (~until5(s285))),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12075, 36, 12069])).
% 8.76/6.27 tff(12077,plain,
% 8.76/6.27 (xuntil6(s285)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12076, 12065])).
% 8.76/6.27 tff(12078,plain,
% 8.76/6.27 (((~![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))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12079,plain,
% 8.76/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s285, s286)) | (~xuntil6(s285)) | until5(s286))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(12080,plain,
% 8.76/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s285, s286)) | (~xuntil6(s285)) | until5(s286)),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[12079, 12078])).
% 8.76/6.27 tff(12081,plain,
% 8.76/6.27 ((~xuntil6(s285)) | until5(s286)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12080, 5485, 141])).
% 8.76/6.27 tff(12082,plain,
% 8.76/6.27 (until5(s286)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12081, 12077])).
% 8.76/6.27 tff(12083,plain,
% 8.76/6.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s286) | (~node4(s286)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s286) | (~node4(s286)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12084,plain,
% 8.76/6.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s286) | (~node4(s286)))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(12085,plain,
% 8.76/6.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s286) | (~node4(s286))),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[12084, 12083])).
% 8.76/6.27 tff(12086,plain,
% 8.76/6.27 (~node4(s286)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12085, 22, 5482])).
% 8.76/6.27 tff(12087,plain,
% 8.76/6.27 (((~![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)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12088,plain,
% 8.76/6.27 ((node4(s286) | (~until5(s286)) | xuntil6(s286)) <=> (xuntil6(s286) | node4(s286) | (~until5(s286)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12089,plain,
% 8.76/6.27 (((~![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))))),
% 8.76/6.27 inference(monotonicity,[status(thm)],[12088])).
% 8.76/6.27 tff(12090,plain,
% 8.76/6.27 (((~![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)))),
% 8.76/6.27 inference(transitivity,[status(thm)],[12089, 12087])).
% 8.76/6.27 tff(12091,plain,
% 8.76/6.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s286) | (~until5(s286)) | xuntil6(s286))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(12092,plain,
% 8.76/6.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s286) | node4(s286) | (~until5(s286))),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[12091, 12090])).
% 8.76/6.27 tff(12093,plain,
% 8.76/6.27 (xuntil6(s286) | (~until5(s286))),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12092, 36, 12086])).
% 8.76/6.27 tff(12094,plain,
% 8.76/6.27 (xuntil6(s286)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12093, 12082])).
% 8.76/6.27 tff(12095,plain,
% 8.76/6.27 (((~![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))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12096,plain,
% 8.76/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s286, s287)) | (~xuntil6(s286)) | until5(s287))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(12097,plain,
% 8.76/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s286, s287)) | (~xuntil6(s286)) | until5(s287)),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[12096, 12095])).
% 8.76/6.27 tff(12098,plain,
% 8.76/6.27 ((~xuntil6(s286)) | until5(s287)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12097, 5473, 141])).
% 8.76/6.27 tff(12099,plain,
% 8.76/6.27 (until5(s287)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12098, 12094])).
% 8.76/6.27 tff(12100,plain,
% 8.76/6.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s287) | (~node4(s287)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s287) | (~node4(s287)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12101,plain,
% 8.76/6.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s287) | (~node4(s287)))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(12102,plain,
% 8.76/6.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s287) | (~node4(s287))),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[12101, 12100])).
% 8.76/6.27 tff(12103,plain,
% 8.76/6.27 (~node4(s287)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12102, 22, 5470])).
% 8.76/6.27 tff(12104,plain,
% 8.76/6.27 (((~![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)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12105,plain,
% 8.76/6.27 ((node4(s287) | (~until5(s287)) | xuntil6(s287)) <=> (xuntil6(s287) | node4(s287) | (~until5(s287)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12106,plain,
% 8.76/6.27 (((~![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))))),
% 8.76/6.27 inference(monotonicity,[status(thm)],[12105])).
% 8.76/6.27 tff(12107,plain,
% 8.76/6.27 (((~![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)))),
% 8.76/6.27 inference(transitivity,[status(thm)],[12106, 12104])).
% 8.76/6.27 tff(12108,plain,
% 8.76/6.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s287) | (~until5(s287)) | xuntil6(s287))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(12109,plain,
% 8.76/6.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s287) | node4(s287) | (~until5(s287))),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[12108, 12107])).
% 8.76/6.27 tff(12110,plain,
% 8.76/6.27 (xuntil6(s287) | (~until5(s287))),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12109, 36, 12103])).
% 8.76/6.27 tff(12111,plain,
% 8.76/6.27 (xuntil6(s287)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12110, 12099])).
% 8.76/6.27 tff(12112,plain,
% 8.76/6.27 (((~![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))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12113,plain,
% 8.76/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s287, s288)) | (~xuntil6(s287)) | until5(s288))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(12114,plain,
% 8.76/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s287, s288)) | (~xuntil6(s287)) | until5(s288)),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[12113, 12112])).
% 8.76/6.27 tff(12115,plain,
% 8.76/6.27 ((~xuntil6(s287)) | until5(s288)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12114, 5461, 141])).
% 8.76/6.27 tff(12116,plain,
% 8.76/6.27 (until5(s288)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12115, 12111])).
% 8.76/6.27 tff(12117,plain,
% 8.76/6.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s288) | (~node4(s288)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s288) | (~node4(s288)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12118,plain,
% 8.76/6.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s288) | (~node4(s288)))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(12119,plain,
% 8.76/6.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s288) | (~node4(s288))),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[12118, 12117])).
% 8.76/6.27 tff(12120,plain,
% 8.76/6.27 (~node4(s288)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12119, 22, 5458])).
% 8.76/6.27 tff(12121,plain,
% 8.76/6.27 (((~![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)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12122,plain,
% 8.76/6.27 ((node4(s288) | (~until5(s288)) | xuntil6(s288)) <=> (xuntil6(s288) | node4(s288) | (~until5(s288)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12123,plain,
% 8.76/6.27 (((~![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))))),
% 8.76/6.27 inference(monotonicity,[status(thm)],[12122])).
% 8.76/6.27 tff(12124,plain,
% 8.76/6.27 (((~![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)))),
% 8.76/6.27 inference(transitivity,[status(thm)],[12123, 12121])).
% 8.76/6.27 tff(12125,plain,
% 8.76/6.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s288) | (~until5(s288)) | xuntil6(s288))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(12126,plain,
% 8.76/6.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s288) | node4(s288) | (~until5(s288))),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[12125, 12124])).
% 8.76/6.27 tff(12127,plain,
% 8.76/6.27 (xuntil6(s288) | (~until5(s288))),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12126, 36, 12120])).
% 8.76/6.27 tff(12128,plain,
% 8.76/6.27 (xuntil6(s288)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12127, 12116])).
% 8.76/6.27 tff(12129,plain,
% 8.76/6.27 (((~![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))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12130,plain,
% 8.76/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s288, s289)) | (~xuntil6(s288)) | until5(s289))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(12131,plain,
% 8.76/6.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s288, s289)) | (~xuntil6(s288)) | until5(s289)),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[12130, 12129])).
% 8.76/6.27 tff(12132,plain,
% 8.76/6.27 ((~xuntil6(s288)) | until5(s289)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12131, 5449, 141])).
% 8.76/6.27 tff(12133,plain,
% 8.76/6.27 (until5(s289)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12132, 12128])).
% 8.76/6.27 tff(12134,plain,
% 8.76/6.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s289) | (~node4(s289)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s289) | (~node4(s289)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12135,plain,
% 8.76/6.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s289) | (~node4(s289)))),
% 8.76/6.27 inference(quant_inst,[status(thm)],[])).
% 8.76/6.27 tff(12136,plain,
% 8.76/6.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s289) | (~node4(s289))),
% 8.76/6.27 inference(modus_ponens,[status(thm)],[12135, 12134])).
% 8.76/6.27 tff(12137,plain,
% 8.76/6.27 (~node4(s289)),
% 8.76/6.27 inference(unit_resolution,[status(thm)],[12136, 22, 5446])).
% 8.76/6.27 tff(12138,plain,
% 8.76/6.27 (((~![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)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12139,plain,
% 8.76/6.27 ((node4(s289) | (~until5(s289)) | xuntil6(s289)) <=> (xuntil6(s289) | node4(s289) | (~until5(s289)))),
% 8.76/6.27 inference(rewrite,[status(thm)],[])).
% 8.76/6.27 tff(12140,plain,
% 8.76/6.27 (((~![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))))),
% 8.76/6.28 inference(monotonicity,[status(thm)],[12139])).
% 8.76/6.28 tff(12141,plain,
% 8.76/6.28 (((~![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)))),
% 8.76/6.28 inference(transitivity,[status(thm)],[12140, 12138])).
% 8.76/6.28 tff(12142,plain,
% 8.76/6.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s289) | (~until5(s289)) | xuntil6(s289))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12143,plain,
% 8.76/6.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s289) | node4(s289) | (~until5(s289))),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12142, 12141])).
% 8.76/6.28 tff(12144,plain,
% 8.76/6.28 (xuntil6(s289) | (~until5(s289))),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12143, 36, 12137])).
% 8.76/6.28 tff(12145,plain,
% 8.76/6.28 (xuntil6(s289)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12144, 12133])).
% 8.76/6.28 tff(12146,plain,
% 8.76/6.28 (((~![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))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12147,plain,
% 8.76/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s289, s290)) | (~xuntil6(s289)) | until5(s290))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12148,plain,
% 8.76/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s289, s290)) | (~xuntil6(s289)) | until5(s290)),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12147, 12146])).
% 8.76/6.28 tff(12149,plain,
% 8.76/6.28 ((~xuntil6(s289)) | until5(s290)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12148, 5437, 141])).
% 8.76/6.28 tff(12150,plain,
% 8.76/6.28 (until5(s290)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12149, 12145])).
% 8.76/6.28 tff(12151,plain,
% 8.76/6.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s290) | (~node4(s290)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s290) | (~node4(s290)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12152,plain,
% 8.76/6.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s290) | (~node4(s290)))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12153,plain,
% 8.76/6.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s290) | (~node4(s290))),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12152, 12151])).
% 8.76/6.28 tff(12154,plain,
% 8.76/6.28 (~node4(s290)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12153, 22, 5434])).
% 8.76/6.28 tff(12155,plain,
% 8.76/6.28 (((~![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)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12156,plain,
% 8.76/6.28 ((node4(s290) | (~until5(s290)) | xuntil6(s290)) <=> (xuntil6(s290) | node4(s290) | (~until5(s290)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12157,plain,
% 8.76/6.28 (((~![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))))),
% 8.76/6.28 inference(monotonicity,[status(thm)],[12156])).
% 8.76/6.28 tff(12158,plain,
% 8.76/6.28 (((~![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)))),
% 8.76/6.28 inference(transitivity,[status(thm)],[12157, 12155])).
% 8.76/6.28 tff(12159,plain,
% 8.76/6.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s290) | (~until5(s290)) | xuntil6(s290))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12160,plain,
% 8.76/6.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s290) | node4(s290) | (~until5(s290))),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12159, 12158])).
% 8.76/6.28 tff(12161,plain,
% 8.76/6.28 (xuntil6(s290) | (~until5(s290))),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12160, 36, 12154])).
% 8.76/6.28 tff(12162,plain,
% 8.76/6.28 (xuntil6(s290)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12161, 12150])).
% 8.76/6.28 tff(12163,plain,
% 8.76/6.28 (((~![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))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12164,plain,
% 8.76/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s290, s291)) | (~xuntil6(s290)) | until5(s291))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12165,plain,
% 8.76/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s290, s291)) | (~xuntil6(s290)) | until5(s291)),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12164, 12163])).
% 8.76/6.28 tff(12166,plain,
% 8.76/6.28 ((~xuntil6(s290)) | until5(s291)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12165, 5425, 141])).
% 8.76/6.28 tff(12167,plain,
% 8.76/6.28 (until5(s291)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12166, 12162])).
% 8.76/6.28 tff(12168,plain,
% 8.76/6.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s291) | (~node4(s291)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s291) | (~node4(s291)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12169,plain,
% 8.76/6.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s291) | (~node4(s291)))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12170,plain,
% 8.76/6.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s291) | (~node4(s291))),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12169, 12168])).
% 8.76/6.28 tff(12171,plain,
% 8.76/6.28 (~node4(s291)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12170, 22, 5422])).
% 8.76/6.28 tff(12172,plain,
% 8.76/6.28 (((~![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)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12173,plain,
% 8.76/6.28 ((node4(s291) | (~until5(s291)) | xuntil6(s291)) <=> (xuntil6(s291) | node4(s291) | (~until5(s291)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12174,plain,
% 8.76/6.28 (((~![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))))),
% 8.76/6.28 inference(monotonicity,[status(thm)],[12173])).
% 8.76/6.28 tff(12175,plain,
% 8.76/6.28 (((~![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)))),
% 8.76/6.28 inference(transitivity,[status(thm)],[12174, 12172])).
% 8.76/6.28 tff(12176,plain,
% 8.76/6.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s291) | (~until5(s291)) | xuntil6(s291))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12177,plain,
% 8.76/6.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s291) | node4(s291) | (~until5(s291))),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12176, 12175])).
% 8.76/6.28 tff(12178,plain,
% 8.76/6.28 (xuntil6(s291) | (~until5(s291))),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12177, 36, 12171])).
% 8.76/6.28 tff(12179,plain,
% 8.76/6.28 (xuntil6(s291)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12178, 12167])).
% 8.76/6.28 tff(12180,plain,
% 8.76/6.28 (((~![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))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12181,plain,
% 8.76/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s291, s292)) | (~xuntil6(s291)) | until5(s292))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12182,plain,
% 8.76/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s291, s292)) | (~xuntil6(s291)) | until5(s292)),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12181, 12180])).
% 8.76/6.28 tff(12183,plain,
% 8.76/6.28 ((~xuntil6(s291)) | until5(s292)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12182, 5413, 141])).
% 8.76/6.28 tff(12184,plain,
% 8.76/6.28 (until5(s292)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12183, 12179])).
% 8.76/6.28 tff(12185,plain,
% 8.76/6.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s292) | (~node4(s292)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s292) | (~node4(s292)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12186,plain,
% 8.76/6.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s292) | (~node4(s292)))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12187,plain,
% 8.76/6.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s292) | (~node4(s292))),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12186, 12185])).
% 8.76/6.28 tff(12188,plain,
% 8.76/6.28 (~node4(s292)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12187, 22, 5410])).
% 8.76/6.28 tff(12189,plain,
% 8.76/6.28 (((~![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)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12190,plain,
% 8.76/6.28 ((node4(s292) | (~until5(s292)) | xuntil6(s292)) <=> (xuntil6(s292) | node4(s292) | (~until5(s292)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12191,plain,
% 8.76/6.28 (((~![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))))),
% 8.76/6.28 inference(monotonicity,[status(thm)],[12190])).
% 8.76/6.28 tff(12192,plain,
% 8.76/6.28 (((~![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)))),
% 8.76/6.28 inference(transitivity,[status(thm)],[12191, 12189])).
% 8.76/6.28 tff(12193,plain,
% 8.76/6.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s292) | (~until5(s292)) | xuntil6(s292))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12194,plain,
% 8.76/6.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s292) | node4(s292) | (~until5(s292))),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12193, 12192])).
% 8.76/6.28 tff(12195,plain,
% 8.76/6.28 (xuntil6(s292) | (~until5(s292))),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12194, 36, 12188])).
% 8.76/6.28 tff(12196,plain,
% 8.76/6.28 (xuntil6(s292)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12195, 12184])).
% 8.76/6.28 tff(12197,plain,
% 8.76/6.28 (((~![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))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12198,plain,
% 8.76/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s292, s293)) | (~xuntil6(s292)) | until5(s293))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12199,plain,
% 8.76/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s292, s293)) | (~xuntil6(s292)) | until5(s293)),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12198, 12197])).
% 8.76/6.28 tff(12200,plain,
% 8.76/6.28 ((~xuntil6(s292)) | until5(s293)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12199, 5401, 141])).
% 8.76/6.28 tff(12201,plain,
% 8.76/6.28 (until5(s293)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12200, 12196])).
% 8.76/6.28 tff(12202,plain,
% 8.76/6.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s293) | (~node4(s293)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s293) | (~node4(s293)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12203,plain,
% 8.76/6.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s293) | (~node4(s293)))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12204,plain,
% 8.76/6.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s293) | (~node4(s293))),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12203, 12202])).
% 8.76/6.28 tff(12205,plain,
% 8.76/6.28 (~node4(s293)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12204, 22, 5398])).
% 8.76/6.28 tff(12206,plain,
% 8.76/6.28 (((~![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)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12207,plain,
% 8.76/6.28 ((node4(s293) | (~until5(s293)) | xuntil6(s293)) <=> (xuntil6(s293) | node4(s293) | (~until5(s293)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12208,plain,
% 8.76/6.28 (((~![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))))),
% 8.76/6.28 inference(monotonicity,[status(thm)],[12207])).
% 8.76/6.28 tff(12209,plain,
% 8.76/6.28 (((~![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)))),
% 8.76/6.28 inference(transitivity,[status(thm)],[12208, 12206])).
% 8.76/6.28 tff(12210,plain,
% 8.76/6.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s293) | (~until5(s293)) | xuntil6(s293))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12211,plain,
% 8.76/6.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s293) | node4(s293) | (~until5(s293))),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12210, 12209])).
% 8.76/6.28 tff(12212,plain,
% 8.76/6.28 (xuntil6(s293) | (~until5(s293))),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12211, 36, 12205])).
% 8.76/6.28 tff(12213,plain,
% 8.76/6.28 (xuntil6(s293)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12212, 12201])).
% 8.76/6.28 tff(12214,plain,
% 8.76/6.28 (((~![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))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12215,plain,
% 8.76/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s293, s294)) | (~xuntil6(s293)) | until5(s294))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12216,plain,
% 8.76/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s293, s294)) | (~xuntil6(s293)) | until5(s294)),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12215, 12214])).
% 8.76/6.28 tff(12217,plain,
% 8.76/6.28 ((~xuntil6(s293)) | until5(s294)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12216, 5389, 141])).
% 8.76/6.28 tff(12218,plain,
% 8.76/6.28 (until5(s294)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12217, 12213])).
% 8.76/6.28 tff(12219,plain,
% 8.76/6.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s294) | (~node4(s294)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s294) | (~node4(s294)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12220,plain,
% 8.76/6.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s294) | (~node4(s294)))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12221,plain,
% 8.76/6.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s294) | (~node4(s294))),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12220, 12219])).
% 8.76/6.28 tff(12222,plain,
% 8.76/6.28 (~node4(s294)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12221, 22, 5386])).
% 8.76/6.28 tff(12223,plain,
% 8.76/6.28 (((~![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)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12224,plain,
% 8.76/6.28 ((node4(s294) | (~until5(s294)) | xuntil6(s294)) <=> (xuntil6(s294) | node4(s294) | (~until5(s294)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12225,plain,
% 8.76/6.28 (((~![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))))),
% 8.76/6.28 inference(monotonicity,[status(thm)],[12224])).
% 8.76/6.28 tff(12226,plain,
% 8.76/6.28 (((~![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)))),
% 8.76/6.28 inference(transitivity,[status(thm)],[12225, 12223])).
% 8.76/6.28 tff(12227,plain,
% 8.76/6.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s294) | (~until5(s294)) | xuntil6(s294))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12228,plain,
% 8.76/6.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s294) | node4(s294) | (~until5(s294))),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12227, 12226])).
% 8.76/6.28 tff(12229,plain,
% 8.76/6.28 (xuntil6(s294) | (~until5(s294))),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12228, 36, 12222])).
% 8.76/6.28 tff(12230,plain,
% 8.76/6.28 (xuntil6(s294)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12229, 12218])).
% 8.76/6.28 tff(12231,plain,
% 8.76/6.28 (((~![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))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12232,plain,
% 8.76/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s294, s295)) | (~xuntil6(s294)) | until5(s295))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12233,plain,
% 8.76/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s294, s295)) | (~xuntil6(s294)) | until5(s295)),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12232, 12231])).
% 8.76/6.28 tff(12234,plain,
% 8.76/6.28 ((~xuntil6(s294)) | until5(s295)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12233, 5377, 141])).
% 8.76/6.28 tff(12235,plain,
% 8.76/6.28 (until5(s295)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12234, 12230])).
% 8.76/6.28 tff(12236,plain,
% 8.76/6.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s295) | (~node4(s295)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s295) | (~node4(s295)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12237,plain,
% 8.76/6.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s295) | (~node4(s295)))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12238,plain,
% 8.76/6.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s295) | (~node4(s295))),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12237, 12236])).
% 8.76/6.28 tff(12239,plain,
% 8.76/6.28 (~node4(s295)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12238, 22, 5374])).
% 8.76/6.28 tff(12240,plain,
% 8.76/6.28 (((~![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)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12241,plain,
% 8.76/6.28 ((node4(s295) | (~until5(s295)) | xuntil6(s295)) <=> (xuntil6(s295) | node4(s295) | (~until5(s295)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12242,plain,
% 8.76/6.28 (((~![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))))),
% 8.76/6.28 inference(monotonicity,[status(thm)],[12241])).
% 8.76/6.28 tff(12243,plain,
% 8.76/6.28 (((~![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)))),
% 8.76/6.28 inference(transitivity,[status(thm)],[12242, 12240])).
% 8.76/6.28 tff(12244,plain,
% 8.76/6.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s295) | (~until5(s295)) | xuntil6(s295))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12245,plain,
% 8.76/6.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s295) | node4(s295) | (~until5(s295))),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12244, 12243])).
% 8.76/6.28 tff(12246,plain,
% 8.76/6.28 (xuntil6(s295) | (~until5(s295))),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12245, 36, 12239])).
% 8.76/6.28 tff(12247,plain,
% 8.76/6.28 (xuntil6(s295)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12246, 12235])).
% 8.76/6.28 tff(12248,plain,
% 8.76/6.28 (((~![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))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12249,plain,
% 8.76/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s295, s296)) | (~xuntil6(s295)) | until5(s296))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12250,plain,
% 8.76/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s295, s296)) | (~xuntil6(s295)) | until5(s296)),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12249, 12248])).
% 8.76/6.28 tff(12251,plain,
% 8.76/6.28 ((~xuntil6(s295)) | until5(s296)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12250, 5365, 141])).
% 8.76/6.28 tff(12252,plain,
% 8.76/6.28 (until5(s296)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12251, 12247])).
% 8.76/6.28 tff(12253,plain,
% 8.76/6.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s296) | (~node4(s296)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s296) | (~node4(s296)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12254,plain,
% 8.76/6.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s296) | (~node4(s296)))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12255,plain,
% 8.76/6.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s296) | (~node4(s296))),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12254, 12253])).
% 8.76/6.28 tff(12256,plain,
% 8.76/6.28 (~node4(s296)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12255, 22, 5362])).
% 8.76/6.28 tff(12257,plain,
% 8.76/6.28 (((~![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)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12258,plain,
% 8.76/6.28 ((node4(s296) | (~until5(s296)) | xuntil6(s296)) <=> (xuntil6(s296) | node4(s296) | (~until5(s296)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12259,plain,
% 8.76/6.28 (((~![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))))),
% 8.76/6.28 inference(monotonicity,[status(thm)],[12258])).
% 8.76/6.28 tff(12260,plain,
% 8.76/6.28 (((~![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)))),
% 8.76/6.28 inference(transitivity,[status(thm)],[12259, 12257])).
% 8.76/6.28 tff(12261,plain,
% 8.76/6.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s296) | (~until5(s296)) | xuntil6(s296))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12262,plain,
% 8.76/6.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s296) | node4(s296) | (~until5(s296))),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12261, 12260])).
% 8.76/6.28 tff(12263,plain,
% 8.76/6.28 (xuntil6(s296) | (~until5(s296))),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12262, 36, 12256])).
% 8.76/6.28 tff(12264,plain,
% 8.76/6.28 (xuntil6(s296)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12263, 12252])).
% 8.76/6.28 tff(12265,plain,
% 8.76/6.28 (((~![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))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12266,plain,
% 8.76/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s296, s297)) | (~xuntil6(s296)) | until5(s297))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12267,plain,
% 8.76/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s296, s297)) | (~xuntil6(s296)) | until5(s297)),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12266, 12265])).
% 8.76/6.28 tff(12268,plain,
% 8.76/6.28 ((~xuntil6(s296)) | until5(s297)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12267, 5353, 141])).
% 8.76/6.28 tff(12269,plain,
% 8.76/6.28 (until5(s297)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12268, 12264])).
% 8.76/6.28 tff(12270,plain,
% 8.76/6.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s297) | (~node4(s297)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s297) | (~node4(s297)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12271,plain,
% 8.76/6.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s297) | (~node4(s297)))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12272,plain,
% 8.76/6.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s297) | (~node4(s297))),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12271, 12270])).
% 8.76/6.28 tff(12273,plain,
% 8.76/6.28 (~node4(s297)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12272, 22, 5350])).
% 8.76/6.28 tff(12274,plain,
% 8.76/6.28 (((~![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)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12275,plain,
% 8.76/6.28 ((node4(s297) | (~until5(s297)) | xuntil6(s297)) <=> (xuntil6(s297) | node4(s297) | (~until5(s297)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12276,plain,
% 8.76/6.28 (((~![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))))),
% 8.76/6.28 inference(monotonicity,[status(thm)],[12275])).
% 8.76/6.28 tff(12277,plain,
% 8.76/6.28 (((~![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)))),
% 8.76/6.28 inference(transitivity,[status(thm)],[12276, 12274])).
% 8.76/6.28 tff(12278,plain,
% 8.76/6.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s297) | (~until5(s297)) | xuntil6(s297))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12279,plain,
% 8.76/6.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s297) | node4(s297) | (~until5(s297))),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12278, 12277])).
% 8.76/6.28 tff(12280,plain,
% 8.76/6.28 (xuntil6(s297) | (~until5(s297))),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12279, 36, 12273])).
% 8.76/6.28 tff(12281,plain,
% 8.76/6.28 (xuntil6(s297)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12280, 12269])).
% 8.76/6.28 tff(12282,plain,
% 8.76/6.28 (((~![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))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12283,plain,
% 8.76/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s297, s298)) | (~xuntil6(s297)) | until5(s298))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12284,plain,
% 8.76/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s297, s298)) | (~xuntil6(s297)) | until5(s298)),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12283, 12282])).
% 8.76/6.28 tff(12285,plain,
% 8.76/6.28 ((~xuntil6(s297)) | until5(s298)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12284, 5341, 141])).
% 8.76/6.28 tff(12286,plain,
% 8.76/6.28 (until5(s298)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12285, 12281])).
% 8.76/6.28 tff(12287,plain,
% 8.76/6.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s298) | (~node4(s298)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s298) | (~node4(s298)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12288,plain,
% 8.76/6.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s298) | (~node4(s298)))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12289,plain,
% 8.76/6.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s298) | (~node4(s298))),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12288, 12287])).
% 8.76/6.28 tff(12290,plain,
% 8.76/6.28 (~node4(s298)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12289, 22, 5338])).
% 8.76/6.28 tff(12291,plain,
% 8.76/6.28 (((~![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)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12292,plain,
% 8.76/6.28 ((node4(s298) | (~until5(s298)) | xuntil6(s298)) <=> (xuntil6(s298) | node4(s298) | (~until5(s298)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12293,plain,
% 8.76/6.28 (((~![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))))),
% 8.76/6.28 inference(monotonicity,[status(thm)],[12292])).
% 8.76/6.28 tff(12294,plain,
% 8.76/6.28 (((~![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)))),
% 8.76/6.28 inference(transitivity,[status(thm)],[12293, 12291])).
% 8.76/6.28 tff(12295,plain,
% 8.76/6.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s298) | (~until5(s298)) | xuntil6(s298))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12296,plain,
% 8.76/6.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s298) | node4(s298) | (~until5(s298))),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12295, 12294])).
% 8.76/6.28 tff(12297,plain,
% 8.76/6.28 (xuntil6(s298) | (~until5(s298))),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12296, 36, 12290])).
% 8.76/6.28 tff(12298,plain,
% 8.76/6.28 (xuntil6(s298)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12297, 12286])).
% 8.76/6.28 tff(12299,plain,
% 8.76/6.28 (((~![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))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12300,plain,
% 8.76/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s298, s299)) | (~xuntil6(s298)) | until5(s299))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12301,plain,
% 8.76/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s298, s299)) | (~xuntil6(s298)) | until5(s299)),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12300, 12299])).
% 8.76/6.28 tff(12302,plain,
% 8.76/6.28 ((~xuntil6(s298)) | until5(s299)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12301, 5329, 141])).
% 8.76/6.28 tff(12303,plain,
% 8.76/6.28 (until5(s299)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12302, 12298])).
% 8.76/6.28 tff(12304,plain,
% 8.76/6.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s299) | (~node4(s299)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s299) | (~node4(s299)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12305,plain,
% 8.76/6.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s299) | (~node4(s299)))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12306,plain,
% 8.76/6.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s299) | (~node4(s299))),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12305, 12304])).
% 8.76/6.28 tff(12307,plain,
% 8.76/6.28 (~node4(s299)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12306, 22, 5326])).
% 8.76/6.28 tff(12308,plain,
% 8.76/6.28 (((~![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)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12309,plain,
% 8.76/6.28 ((node4(s299) | (~until5(s299)) | xuntil6(s299)) <=> (xuntil6(s299) | node4(s299) | (~until5(s299)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12310,plain,
% 8.76/6.28 (((~![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))))),
% 8.76/6.28 inference(monotonicity,[status(thm)],[12309])).
% 8.76/6.28 tff(12311,plain,
% 8.76/6.28 (((~![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)))),
% 8.76/6.28 inference(transitivity,[status(thm)],[12310, 12308])).
% 8.76/6.28 tff(12312,plain,
% 8.76/6.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s299) | (~until5(s299)) | xuntil6(s299))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12313,plain,
% 8.76/6.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s299) | node4(s299) | (~until5(s299))),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12312, 12311])).
% 8.76/6.28 tff(12314,plain,
% 8.76/6.28 (xuntil6(s299) | (~until5(s299))),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12313, 36, 12307])).
% 8.76/6.28 tff(12315,plain,
% 8.76/6.28 (xuntil6(s299)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12314, 12303])).
% 8.76/6.28 tff(12316,plain,
% 8.76/6.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s299, s300)) | (~xuntil6(s299)) | until5(s300))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s299, s300)) | (~xuntil6(s299)) | until5(s300))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12317,plain,
% 8.76/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s299, s300)) | (~xuntil6(s299)) | until5(s300))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12318,plain,
% 8.76/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s299, s300)) | (~xuntil6(s299)) | until5(s300)),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12317, 12316])).
% 8.76/6.28 tff(12319,plain,
% 8.76/6.28 ((~xuntil6(s299)) | until5(s300)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12318, 5317, 141])).
% 8.76/6.28 tff(12320,plain,
% 8.76/6.28 (until5(s300)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12319, 12315])).
% 8.76/6.28 tff(12321,plain,
% 8.76/6.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s300) | (~node4(s300)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s300) | (~node4(s300)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12322,plain,
% 8.76/6.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s300) | (~node4(s300)))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12323,plain,
% 8.76/6.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s300) | (~node4(s300))),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12322, 12321])).
% 8.76/6.28 tff(12324,plain,
% 8.76/6.28 (~node4(s300)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12323, 22, 5314])).
% 8.76/6.28 tff(12325,plain,
% 8.76/6.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s300) | node4(s300) | (~until5(s300)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s300) | node4(s300) | (~until5(s300)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12326,plain,
% 8.76/6.28 ((node4(s300) | (~until5(s300)) | xuntil6(s300)) <=> (xuntil6(s300) | node4(s300) | (~until5(s300)))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12327,plain,
% 8.76/6.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s300) | (~until5(s300)) | xuntil6(s300))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s300) | node4(s300) | (~until5(s300))))),
% 8.76/6.28 inference(monotonicity,[status(thm)],[12326])).
% 8.76/6.28 tff(12328,plain,
% 8.76/6.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s300) | (~until5(s300)) | xuntil6(s300))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s300) | node4(s300) | (~until5(s300)))),
% 8.76/6.28 inference(transitivity,[status(thm)],[12327, 12325])).
% 8.76/6.28 tff(12329,plain,
% 8.76/6.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s300) | (~until5(s300)) | xuntil6(s300))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12330,plain,
% 8.76/6.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s300) | node4(s300) | (~until5(s300))),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12329, 12328])).
% 8.76/6.28 tff(12331,plain,
% 8.76/6.28 (xuntil6(s300) | (~until5(s300))),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12330, 36, 12324])).
% 8.76/6.28 tff(12332,plain,
% 8.76/6.28 (xuntil6(s300)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12331, 12320])).
% 8.76/6.28 tff(12333,plain,
% 8.76/6.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s300, s301)) | (~xuntil6(s300)) | until5(s301))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s300, s301)) | (~xuntil6(s300)) | until5(s301))),
% 8.76/6.28 inference(rewrite,[status(thm)],[])).
% 8.76/6.28 tff(12334,plain,
% 8.76/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s300, s301)) | (~xuntil6(s300)) | until5(s301))),
% 8.76/6.28 inference(quant_inst,[status(thm)],[])).
% 8.76/6.28 tff(12335,plain,
% 8.76/6.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s300, s301)) | (~xuntil6(s300)) | until5(s301)),
% 8.76/6.28 inference(modus_ponens,[status(thm)],[12334, 12333])).
% 8.76/6.28 tff(12336,plain,
% 8.76/6.28 ((~xuntil6(s300)) | until5(s301)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12335, 5305, 141])).
% 8.76/6.28 tff(12337,plain,
% 8.76/6.28 (until5(s301)),
% 8.76/6.28 inference(unit_resolution,[status(thm)],[12336, 12332])).
% 8.76/6.28 tff(12338,plain,
% 8.76/6.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s301) | (~node4(s301)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s301) | (~node4(s301)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12339,plain,
% 8.76/6.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s301) | (~node4(s301)))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12340,plain,
% 8.76/6.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s301) | (~node4(s301))),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12339, 12338])).
% 8.76/6.29 tff(12341,plain,
% 8.76/6.29 (~node4(s301)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12340, 22, 5302])).
% 8.76/6.29 tff(12342,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s301) | node4(s301) | (~until5(s301)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s301) | node4(s301) | (~until5(s301)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12343,plain,
% 8.76/6.29 ((node4(s301) | (~until5(s301)) | xuntil6(s301)) <=> (xuntil6(s301) | node4(s301) | (~until5(s301)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12344,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s301) | (~until5(s301)) | xuntil6(s301))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s301) | node4(s301) | (~until5(s301))))),
% 8.76/6.29 inference(monotonicity,[status(thm)],[12343])).
% 8.76/6.29 tff(12345,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s301) | (~until5(s301)) | xuntil6(s301))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s301) | node4(s301) | (~until5(s301)))),
% 8.76/6.29 inference(transitivity,[status(thm)],[12344, 12342])).
% 8.76/6.29 tff(12346,plain,
% 8.76/6.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s301) | (~until5(s301)) | xuntil6(s301))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12347,plain,
% 8.76/6.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s301) | node4(s301) | (~until5(s301))),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12346, 12345])).
% 8.76/6.29 tff(12348,plain,
% 8.76/6.29 (xuntil6(s301) | (~until5(s301))),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12347, 36, 12341])).
% 8.76/6.29 tff(12349,plain,
% 8.76/6.29 (xuntil6(s301)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12348, 12337])).
% 8.76/6.29 tff(12350,plain,
% 8.76/6.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s301, s302)) | (~xuntil6(s301)) | until5(s302))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s301, s302)) | (~xuntil6(s301)) | until5(s302))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12351,plain,
% 8.76/6.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s301, s302)) | (~xuntil6(s301)) | until5(s302))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12352,plain,
% 8.76/6.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s301, s302)) | (~xuntil6(s301)) | until5(s302)),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12351, 12350])).
% 8.76/6.29 tff(12353,plain,
% 8.76/6.29 ((~xuntil6(s301)) | until5(s302)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12352, 5293, 141])).
% 8.76/6.29 tff(12354,plain,
% 8.76/6.29 (until5(s302)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12353, 12349])).
% 8.76/6.29 tff(12355,plain,
% 8.76/6.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s302) | (~node4(s302)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s302) | (~node4(s302)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12356,plain,
% 8.76/6.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s302) | (~node4(s302)))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12357,plain,
% 8.76/6.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s302) | (~node4(s302))),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12356, 12355])).
% 8.76/6.29 tff(12358,plain,
% 8.76/6.29 (~node4(s302)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12357, 22, 5290])).
% 8.76/6.29 tff(12359,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s302) | node4(s302) | (~until5(s302)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s302) | node4(s302) | (~until5(s302)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12360,plain,
% 8.76/6.29 ((node4(s302) | (~until5(s302)) | xuntil6(s302)) <=> (xuntil6(s302) | node4(s302) | (~until5(s302)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12361,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s302) | (~until5(s302)) | xuntil6(s302))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s302) | node4(s302) | (~until5(s302))))),
% 8.76/6.29 inference(monotonicity,[status(thm)],[12360])).
% 8.76/6.29 tff(12362,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s302) | (~until5(s302)) | xuntil6(s302))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s302) | node4(s302) | (~until5(s302)))),
% 8.76/6.29 inference(transitivity,[status(thm)],[12361, 12359])).
% 8.76/6.29 tff(12363,plain,
% 8.76/6.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s302) | (~until5(s302)) | xuntil6(s302))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12364,plain,
% 8.76/6.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s302) | node4(s302) | (~until5(s302))),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12363, 12362])).
% 8.76/6.29 tff(12365,plain,
% 8.76/6.29 (xuntil6(s302) | (~until5(s302))),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12364, 36, 12358])).
% 8.76/6.29 tff(12366,plain,
% 8.76/6.29 (xuntil6(s302)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12365, 12354])).
% 8.76/6.29 tff(12367,plain,
% 8.76/6.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s302, s303)) | (~xuntil6(s302)) | until5(s303))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s302, s303)) | (~xuntil6(s302)) | until5(s303))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12368,plain,
% 8.76/6.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s302, s303)) | (~xuntil6(s302)) | until5(s303))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12369,plain,
% 8.76/6.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s302, s303)) | (~xuntil6(s302)) | until5(s303)),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12368, 12367])).
% 8.76/6.29 tff(12370,plain,
% 8.76/6.29 ((~xuntil6(s302)) | until5(s303)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12369, 5281, 141])).
% 8.76/6.29 tff(12371,plain,
% 8.76/6.29 (until5(s303)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12370, 12366])).
% 8.76/6.29 tff(12372,plain,
% 8.76/6.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s303) | (~node4(s303)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s303) | (~node4(s303)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
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% 8.76/6.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s303) | (~node4(s303)))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12374,plain,
% 8.76/6.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s303) | (~node4(s303))),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12373, 12372])).
% 8.76/6.29 tff(12375,plain,
% 8.76/6.29 (~node4(s303)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12374, 22, 5278])).
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% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s303) | node4(s303) | (~until5(s303)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s303) | node4(s303) | (~until5(s303)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
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% 8.76/6.29 ((node4(s303) | (~until5(s303)) | xuntil6(s303)) <=> (xuntil6(s303) | node4(s303) | (~until5(s303)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12378,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s303) | (~until5(s303)) | xuntil6(s303))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s303) | node4(s303) | (~until5(s303))))),
% 8.76/6.29 inference(monotonicity,[status(thm)],[12377])).
% 8.76/6.29 tff(12379,plain,
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% 8.76/6.29 inference(transitivity,[status(thm)],[12378, 12376])).
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% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12381,plain,
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% 8.76/6.29 inference(modus_ponens,[status(thm)],[12380, 12379])).
% 8.76/6.29 tff(12382,plain,
% 8.76/6.29 (xuntil6(s303) | (~until5(s303))),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12381, 36, 12375])).
% 8.76/6.29 tff(12383,plain,
% 8.76/6.29 (xuntil6(s303)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12382, 12371])).
% 8.76/6.29 tff(12384,plain,
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% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12385,plain,
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% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12386,plain,
% 8.76/6.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s303, s304)) | (~xuntil6(s303)) | until5(s304)),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12385, 12384])).
% 8.76/6.29 tff(12387,plain,
% 8.76/6.29 ((~xuntil6(s303)) | until5(s304)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12386, 5269, 141])).
% 8.76/6.29 tff(12388,plain,
% 8.76/6.29 (until5(s304)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12387, 12383])).
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% 8.76/6.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s304) | (~node4(s304)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s304) | (~node4(s304)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12390,plain,
% 8.76/6.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s304) | (~node4(s304)))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12391,plain,
% 8.76/6.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s304) | (~node4(s304))),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12390, 12389])).
% 8.76/6.29 tff(12392,plain,
% 8.76/6.29 (~node4(s304)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12391, 22, 5266])).
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% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12394,plain,
% 8.76/6.29 ((node4(s304) | (~until5(s304)) | xuntil6(s304)) <=> (xuntil6(s304) | node4(s304) | (~until5(s304)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12395,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s304) | (~until5(s304)) | xuntil6(s304))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s304) | node4(s304) | (~until5(s304))))),
% 8.76/6.29 inference(monotonicity,[status(thm)],[12394])).
% 8.76/6.29 tff(12396,plain,
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% 8.76/6.29 inference(transitivity,[status(thm)],[12395, 12393])).
% 8.76/6.29 tff(12397,plain,
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% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12398,plain,
% 8.76/6.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s304) | node4(s304) | (~until5(s304))),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12397, 12396])).
% 8.76/6.29 tff(12399,plain,
% 8.76/6.29 (xuntil6(s304) | (~until5(s304))),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12398, 36, 12392])).
% 8.76/6.29 tff(12400,plain,
% 8.76/6.29 (xuntil6(s304)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12399, 12388])).
% 8.76/6.29 tff(12401,plain,
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% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12402,plain,
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% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12403,plain,
% 8.76/6.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s304, s305)) | (~xuntil6(s304)) | until5(s305)),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12402, 12401])).
% 8.76/6.29 tff(12404,plain,
% 8.76/6.29 ((~xuntil6(s304)) | until5(s305)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12403, 5257, 141])).
% 8.76/6.29 tff(12405,plain,
% 8.76/6.29 (until5(s305)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12404, 12400])).
% 8.76/6.29 tff(12406,plain,
% 8.76/6.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s305) | (~node4(s305)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s305) | (~node4(s305)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12407,plain,
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% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12408,plain,
% 8.76/6.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s305) | (~node4(s305))),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12407, 12406])).
% 8.76/6.29 tff(12409,plain,
% 8.76/6.29 (~node4(s305)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12408, 22, 5254])).
% 8.76/6.29 tff(12410,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s305) | node4(s305) | (~until5(s305)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s305) | node4(s305) | (~until5(s305)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12411,plain,
% 8.76/6.29 ((node4(s305) | (~until5(s305)) | xuntil6(s305)) <=> (xuntil6(s305) | node4(s305) | (~until5(s305)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12412,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s305) | (~until5(s305)) | xuntil6(s305))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s305) | node4(s305) | (~until5(s305))))),
% 8.76/6.29 inference(monotonicity,[status(thm)],[12411])).
% 8.76/6.29 tff(12413,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s305) | (~until5(s305)) | xuntil6(s305))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s305) | node4(s305) | (~until5(s305)))),
% 8.76/6.29 inference(transitivity,[status(thm)],[12412, 12410])).
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% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12415,plain,
% 8.76/6.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s305) | node4(s305) | (~until5(s305))),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12414, 12413])).
% 8.76/6.29 tff(12416,plain,
% 8.76/6.29 (xuntil6(s305) | (~until5(s305))),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12415, 36, 12409])).
% 8.76/6.29 tff(12417,plain,
% 8.76/6.29 (xuntil6(s305)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12416, 12405])).
% 8.76/6.29 tff(12418,plain,
% 8.76/6.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s305, s306)) | (~xuntil6(s305)) | until5(s306))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s305, s306)) | (~xuntil6(s305)) | until5(s306))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12419,plain,
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% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12420,plain,
% 8.76/6.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s305, s306)) | (~xuntil6(s305)) | until5(s306)),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12419, 12418])).
% 8.76/6.29 tff(12421,plain,
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% 8.76/6.29 inference(unit_resolution,[status(thm)],[12420, 5245, 141])).
% 8.76/6.29 tff(12422,plain,
% 8.76/6.29 (until5(s306)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12421, 12417])).
% 8.76/6.29 tff(12423,plain,
% 8.76/6.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s306) | (~node4(s306)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s306) | (~node4(s306)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12424,plain,
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% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12425,plain,
% 8.76/6.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s306) | (~node4(s306))),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12424, 12423])).
% 8.76/6.29 tff(12426,plain,
% 8.76/6.29 (~node4(s306)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12425, 22, 5242])).
% 8.76/6.29 tff(12427,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s306) | node4(s306) | (~until5(s306)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s306) | node4(s306) | (~until5(s306)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12428,plain,
% 8.76/6.29 ((node4(s306) | (~until5(s306)) | xuntil6(s306)) <=> (xuntil6(s306) | node4(s306) | (~until5(s306)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12429,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s306) | (~until5(s306)) | xuntil6(s306))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s306) | node4(s306) | (~until5(s306))))),
% 8.76/6.29 inference(monotonicity,[status(thm)],[12428])).
% 8.76/6.29 tff(12430,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s306) | (~until5(s306)) | xuntil6(s306))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s306) | node4(s306) | (~until5(s306)))),
% 8.76/6.29 inference(transitivity,[status(thm)],[12429, 12427])).
% 8.76/6.29 tff(12431,plain,
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% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12432,plain,
% 8.76/6.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s306) | node4(s306) | (~until5(s306))),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12431, 12430])).
% 8.76/6.29 tff(12433,plain,
% 8.76/6.29 (xuntil6(s306) | (~until5(s306))),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12432, 36, 12426])).
% 8.76/6.29 tff(12434,plain,
% 8.76/6.29 (xuntil6(s306)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12433, 12422])).
% 8.76/6.29 tff(12435,plain,
% 8.76/6.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s306, s307)) | (~xuntil6(s306)) | until5(s307))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s306, s307)) | (~xuntil6(s306)) | until5(s307))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12436,plain,
% 8.76/6.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s306, s307)) | (~xuntil6(s306)) | until5(s307))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12437,plain,
% 8.76/6.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s306, s307)) | (~xuntil6(s306)) | until5(s307)),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12436, 12435])).
% 8.76/6.29 tff(12438,plain,
% 8.76/6.29 ((~xuntil6(s306)) | until5(s307)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12437, 5233, 141])).
% 8.76/6.29 tff(12439,plain,
% 8.76/6.29 (until5(s307)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12438, 12434])).
% 8.76/6.29 tff(12440,plain,
% 8.76/6.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s307) | (~node4(s307)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s307) | (~node4(s307)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12441,plain,
% 8.76/6.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s307) | (~node4(s307)))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12442,plain,
% 8.76/6.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s307) | (~node4(s307))),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12441, 12440])).
% 8.76/6.29 tff(12443,plain,
% 8.76/6.29 (~node4(s307)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12442, 22, 5230])).
% 8.76/6.29 tff(12444,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s307) | node4(s307) | (~until5(s307)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s307) | node4(s307) | (~until5(s307)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12445,plain,
% 8.76/6.29 ((node4(s307) | (~until5(s307)) | xuntil6(s307)) <=> (xuntil6(s307) | node4(s307) | (~until5(s307)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12446,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s307) | (~until5(s307)) | xuntil6(s307))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s307) | node4(s307) | (~until5(s307))))),
% 8.76/6.29 inference(monotonicity,[status(thm)],[12445])).
% 8.76/6.29 tff(12447,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s307) | (~until5(s307)) | xuntil6(s307))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s307) | node4(s307) | (~until5(s307)))),
% 8.76/6.29 inference(transitivity,[status(thm)],[12446, 12444])).
% 8.76/6.29 tff(12448,plain,
% 8.76/6.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s307) | (~until5(s307)) | xuntil6(s307))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12449,plain,
% 8.76/6.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s307) | node4(s307) | (~until5(s307))),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12448, 12447])).
% 8.76/6.29 tff(12450,plain,
% 8.76/6.29 (xuntil6(s307) | (~until5(s307))),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12449, 36, 12443])).
% 8.76/6.29 tff(12451,plain,
% 8.76/6.29 (xuntil6(s307)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12450, 12439])).
% 8.76/6.29 tff(12452,plain,
% 8.76/6.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s307, s308)) | (~xuntil6(s307)) | until5(s308))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s307, s308)) | (~xuntil6(s307)) | until5(s308))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12453,plain,
% 8.76/6.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s307, s308)) | (~xuntil6(s307)) | until5(s308))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12454,plain,
% 8.76/6.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s307, s308)) | (~xuntil6(s307)) | until5(s308)),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12453, 12452])).
% 8.76/6.29 tff(12455,plain,
% 8.76/6.29 ((~xuntil6(s307)) | until5(s308)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12454, 5221, 141])).
% 8.76/6.29 tff(12456,plain,
% 8.76/6.29 (until5(s308)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12455, 12451])).
% 8.76/6.29 tff(12457,plain,
% 8.76/6.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s308) | (~node4(s308)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s308) | (~node4(s308)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12458,plain,
% 8.76/6.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s308) | (~node4(s308)))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12459,plain,
% 8.76/6.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s308) | (~node4(s308))),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12458, 12457])).
% 8.76/6.29 tff(12460,plain,
% 8.76/6.29 (~node4(s308)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12459, 22, 5218])).
% 8.76/6.29 tff(12461,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s308) | node4(s308) | (~until5(s308)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s308) | node4(s308) | (~until5(s308)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12462,plain,
% 8.76/6.29 ((node4(s308) | (~until5(s308)) | xuntil6(s308)) <=> (xuntil6(s308) | node4(s308) | (~until5(s308)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12463,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s308) | (~until5(s308)) | xuntil6(s308))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s308) | node4(s308) | (~until5(s308))))),
% 8.76/6.29 inference(monotonicity,[status(thm)],[12462])).
% 8.76/6.29 tff(12464,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s308) | (~until5(s308)) | xuntil6(s308))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s308) | node4(s308) | (~until5(s308)))),
% 8.76/6.29 inference(transitivity,[status(thm)],[12463, 12461])).
% 8.76/6.29 tff(12465,plain,
% 8.76/6.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s308) | (~until5(s308)) | xuntil6(s308))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12466,plain,
% 8.76/6.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s308) | node4(s308) | (~until5(s308))),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12465, 12464])).
% 8.76/6.29 tff(12467,plain,
% 8.76/6.29 (xuntil6(s308) | (~until5(s308))),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12466, 36, 12460])).
% 8.76/6.29 tff(12468,plain,
% 8.76/6.29 (xuntil6(s308)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12467, 12456])).
% 8.76/6.29 tff(12469,plain,
% 8.76/6.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s308, s309)) | (~xuntil6(s308)) | until5(s309))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s308, s309)) | (~xuntil6(s308)) | until5(s309))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12470,plain,
% 8.76/6.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s308, s309)) | (~xuntil6(s308)) | until5(s309))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12471,plain,
% 8.76/6.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s308, s309)) | (~xuntil6(s308)) | until5(s309)),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12470, 12469])).
% 8.76/6.29 tff(12472,plain,
% 8.76/6.29 ((~xuntil6(s308)) | until5(s309)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12471, 5209, 141])).
% 8.76/6.29 tff(12473,plain,
% 8.76/6.29 (until5(s309)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12472, 12468])).
% 8.76/6.29 tff(12474,plain,
% 8.76/6.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s309) | (~node4(s309)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s309) | (~node4(s309)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12475,plain,
% 8.76/6.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s309) | (~node4(s309)))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12476,plain,
% 8.76/6.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s309) | (~node4(s309))),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12475, 12474])).
% 8.76/6.29 tff(12477,plain,
% 8.76/6.29 (~node4(s309)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12476, 22, 5206])).
% 8.76/6.29 tff(12478,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s309) | node4(s309) | (~until5(s309)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s309) | node4(s309) | (~until5(s309)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12479,plain,
% 8.76/6.29 ((node4(s309) | (~until5(s309)) | xuntil6(s309)) <=> (xuntil6(s309) | node4(s309) | (~until5(s309)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12480,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s309) | (~until5(s309)) | xuntil6(s309))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s309) | node4(s309) | (~until5(s309))))),
% 8.76/6.29 inference(monotonicity,[status(thm)],[12479])).
% 8.76/6.29 tff(12481,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s309) | (~until5(s309)) | xuntil6(s309))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s309) | node4(s309) | (~until5(s309)))),
% 8.76/6.29 inference(transitivity,[status(thm)],[12480, 12478])).
% 8.76/6.29 tff(12482,plain,
% 8.76/6.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s309) | (~until5(s309)) | xuntil6(s309))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12483,plain,
% 8.76/6.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s309) | node4(s309) | (~until5(s309))),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12482, 12481])).
% 8.76/6.29 tff(12484,plain,
% 8.76/6.29 (xuntil6(s309) | (~until5(s309))),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12483, 36, 12477])).
% 8.76/6.29 tff(12485,plain,
% 8.76/6.29 (xuntil6(s309)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12484, 12473])).
% 8.76/6.29 tff(12486,plain,
% 8.76/6.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s309, s310)) | (~xuntil6(s309)) | until5(s310))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s309, s310)) | (~xuntil6(s309)) | until5(s310))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12487,plain,
% 8.76/6.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s309, s310)) | (~xuntil6(s309)) | until5(s310))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12488,plain,
% 8.76/6.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s309, s310)) | (~xuntil6(s309)) | until5(s310)),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12487, 12486])).
% 8.76/6.29 tff(12489,plain,
% 8.76/6.29 ((~xuntil6(s309)) | until5(s310)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12488, 5197, 141])).
% 8.76/6.29 tff(12490,plain,
% 8.76/6.29 (until5(s310)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12489, 12485])).
% 8.76/6.29 tff(12491,plain,
% 8.76/6.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s310) | (~node4(s310)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s310) | (~node4(s310)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12492,plain,
% 8.76/6.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s310) | (~node4(s310)))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12493,plain,
% 8.76/6.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s310) | (~node4(s310))),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12492, 12491])).
% 8.76/6.29 tff(12494,plain,
% 8.76/6.29 (~node4(s310)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12493, 22, 5194])).
% 8.76/6.29 tff(12495,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s310) | node4(s310) | (~until5(s310)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s310) | node4(s310) | (~until5(s310)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12496,plain,
% 8.76/6.29 ((node4(s310) | (~until5(s310)) | xuntil6(s310)) <=> (xuntil6(s310) | node4(s310) | (~until5(s310)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12497,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s310) | (~until5(s310)) | xuntil6(s310))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s310) | node4(s310) | (~until5(s310))))),
% 8.76/6.29 inference(monotonicity,[status(thm)],[12496])).
% 8.76/6.29 tff(12498,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s310) | (~until5(s310)) | xuntil6(s310))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s310) | node4(s310) | (~until5(s310)))),
% 8.76/6.29 inference(transitivity,[status(thm)],[12497, 12495])).
% 8.76/6.29 tff(12499,plain,
% 8.76/6.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s310) | (~until5(s310)) | xuntil6(s310))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12500,plain,
% 8.76/6.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s310) | node4(s310) | (~until5(s310))),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12499, 12498])).
% 8.76/6.29 tff(12501,plain,
% 8.76/6.29 (xuntil6(s310) | (~until5(s310))),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12500, 36, 12494])).
% 8.76/6.29 tff(12502,plain,
% 8.76/6.29 (xuntil6(s310)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12501, 12490])).
% 8.76/6.29 tff(12503,plain,
% 8.76/6.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s310, s311)) | (~xuntil6(s310)) | until5(s311))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s310, s311)) | (~xuntil6(s310)) | until5(s311))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12504,plain,
% 8.76/6.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s310, s311)) | (~xuntil6(s310)) | until5(s311))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12505,plain,
% 8.76/6.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s310, s311)) | (~xuntil6(s310)) | until5(s311)),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12504, 12503])).
% 8.76/6.29 tff(12506,plain,
% 8.76/6.29 ((~xuntil6(s310)) | until5(s311)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12505, 5185, 141])).
% 8.76/6.29 tff(12507,plain,
% 8.76/6.29 (until5(s311)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12506, 12502])).
% 8.76/6.29 tff(12508,plain,
% 8.76/6.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s311) | (~node4(s311)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s311) | (~node4(s311)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12509,plain,
% 8.76/6.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s311) | (~node4(s311)))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12510,plain,
% 8.76/6.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s311) | (~node4(s311))),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12509, 12508])).
% 8.76/6.29 tff(12511,plain,
% 8.76/6.29 (~node4(s311)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12510, 22, 5182])).
% 8.76/6.29 tff(12512,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s311) | node4(s311) | (~until5(s311)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s311) | node4(s311) | (~until5(s311)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12513,plain,
% 8.76/6.29 ((node4(s311) | (~until5(s311)) | xuntil6(s311)) <=> (xuntil6(s311) | node4(s311) | (~until5(s311)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12514,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s311) | (~until5(s311)) | xuntil6(s311))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s311) | node4(s311) | (~until5(s311))))),
% 8.76/6.29 inference(monotonicity,[status(thm)],[12513])).
% 8.76/6.29 tff(12515,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s311) | (~until5(s311)) | xuntil6(s311))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s311) | node4(s311) | (~until5(s311)))),
% 8.76/6.29 inference(transitivity,[status(thm)],[12514, 12512])).
% 8.76/6.29 tff(12516,plain,
% 8.76/6.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s311) | (~until5(s311)) | xuntil6(s311))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12517,plain,
% 8.76/6.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s311) | node4(s311) | (~until5(s311))),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12516, 12515])).
% 8.76/6.29 tff(12518,plain,
% 8.76/6.29 (xuntil6(s311) | (~until5(s311))),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12517, 36, 12511])).
% 8.76/6.29 tff(12519,plain,
% 8.76/6.29 (xuntil6(s311)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12518, 12507])).
% 8.76/6.29 tff(12520,plain,
% 8.76/6.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s311, s312)) | (~xuntil6(s311)) | until5(s312))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s311, s312)) | (~xuntil6(s311)) | until5(s312))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12521,plain,
% 8.76/6.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s311, s312)) | (~xuntil6(s311)) | until5(s312))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12522,plain,
% 8.76/6.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s311, s312)) | (~xuntil6(s311)) | until5(s312)),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12521, 12520])).
% 8.76/6.29 tff(12523,plain,
% 8.76/6.29 ((~xuntil6(s311)) | until5(s312)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12522, 5173, 141])).
% 8.76/6.29 tff(12524,plain,
% 8.76/6.29 (until5(s312)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12523, 12519])).
% 8.76/6.29 tff(12525,plain,
% 8.76/6.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s312) | (~node4(s312)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s312) | (~node4(s312)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12526,plain,
% 8.76/6.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s312) | (~node4(s312)))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12527,plain,
% 8.76/6.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s312) | (~node4(s312))),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12526, 12525])).
% 8.76/6.29 tff(12528,plain,
% 8.76/6.29 (~node4(s312)),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12527, 22, 5170])).
% 8.76/6.29 tff(12529,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s312) | node4(s312) | (~until5(s312)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s312) | node4(s312) | (~until5(s312)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12530,plain,
% 8.76/6.29 ((node4(s312) | (~until5(s312)) | xuntil6(s312)) <=> (xuntil6(s312) | node4(s312) | (~until5(s312)))),
% 8.76/6.29 inference(rewrite,[status(thm)],[])).
% 8.76/6.29 tff(12531,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s312) | (~until5(s312)) | xuntil6(s312))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s312) | node4(s312) | (~until5(s312))))),
% 8.76/6.29 inference(monotonicity,[status(thm)],[12530])).
% 8.76/6.29 tff(12532,plain,
% 8.76/6.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s312) | (~until5(s312)) | xuntil6(s312))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s312) | node4(s312) | (~until5(s312)))),
% 8.76/6.29 inference(transitivity,[status(thm)],[12531, 12529])).
% 8.76/6.29 tff(12533,plain,
% 8.76/6.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s312) | (~until5(s312)) | xuntil6(s312))),
% 8.76/6.29 inference(quant_inst,[status(thm)],[])).
% 8.76/6.29 tff(12534,plain,
% 8.76/6.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s312) | node4(s312) | (~until5(s312))),
% 8.76/6.29 inference(modus_ponens,[status(thm)],[12533, 12532])).
% 8.76/6.29 tff(12535,plain,
% 8.76/6.29 (xuntil6(s312) | (~until5(s312))),
% 8.76/6.29 inference(unit_resolution,[status(thm)],[12534, 36, 12528])).
% 8.76/6.30 tff(12536,plain,
% 8.76/6.30 (xuntil6(s312)),
% 8.76/6.30 inference(unit_resolution,[status(thm)],[12535, 12524])).
% 8.76/6.30 tff(12537,plain,
% 8.76/6.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s312, s313)) | (~xuntil6(s312)) | until5(s313))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s312, s313)) | (~xuntil6(s312)) | until5(s313))),
% 8.76/6.30 inference(rewrite,[status(thm)],[])).
% 8.76/6.30 tff(12538,plain,
% 8.76/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s312, s313)) | (~xuntil6(s312)) | until5(s313))),
% 8.76/6.30 inference(quant_inst,[status(thm)],[])).
% 8.76/6.30 tff(12539,plain,
% 8.76/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s312, s313)) | (~xuntil6(s312)) | until5(s313)),
% 8.76/6.30 inference(modus_ponens,[status(thm)],[12538, 12537])).
% 8.76/6.30 tff(12540,plain,
% 8.76/6.30 ((~xuntil6(s312)) | until5(s313)),
% 8.76/6.30 inference(unit_resolution,[status(thm)],[12539, 5161, 141])).
% 8.76/6.30 tff(12541,plain,
% 8.76/6.30 (until5(s313)),
% 8.76/6.30 inference(unit_resolution,[status(thm)],[12540, 12536])).
% 8.76/6.30 tff(12542,plain,
% 8.76/6.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s313) | (~node4(s313)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s313) | (~node4(s313)))),
% 8.76/6.30 inference(rewrite,[status(thm)],[])).
% 8.76/6.30 tff(12543,plain,
% 8.76/6.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s313) | (~node4(s313)))),
% 8.76/6.30 inference(quant_inst,[status(thm)],[])).
% 8.76/6.30 tff(12544,plain,
% 8.76/6.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s313) | (~node4(s313))),
% 8.76/6.30 inference(modus_ponens,[status(thm)],[12543, 12542])).
% 8.76/6.30 tff(12545,plain,
% 8.76/6.30 (~node4(s313)),
% 8.76/6.30 inference(unit_resolution,[status(thm)],[12544, 22, 5158])).
% 8.76/6.30 tff(12546,plain,
% 8.76/6.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s313) | node4(s313) | (~until5(s313)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s313) | node4(s313) | (~until5(s313)))),
% 8.76/6.30 inference(rewrite,[status(thm)],[])).
% 8.76/6.30 tff(12547,plain,
% 8.76/6.30 ((node4(s313) | (~until5(s313)) | xuntil6(s313)) <=> (xuntil6(s313) | node4(s313) | (~until5(s313)))),
% 8.76/6.30 inference(rewrite,[status(thm)],[])).
% 8.76/6.30 tff(12548,plain,
% 8.76/6.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s313) | (~until5(s313)) | xuntil6(s313))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s313) | node4(s313) | (~until5(s313))))),
% 8.76/6.30 inference(monotonicity,[status(thm)],[12547])).
% 8.76/6.30 tff(12549,plain,
% 8.76/6.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s313) | (~until5(s313)) | xuntil6(s313))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s313) | node4(s313) | (~until5(s313)))),
% 8.76/6.30 inference(transitivity,[status(thm)],[12548, 12546])).
% 8.76/6.30 tff(12550,plain,
% 8.76/6.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s313) | (~until5(s313)) | xuntil6(s313))),
% 8.76/6.30 inference(quant_inst,[status(thm)],[])).
% 8.76/6.30 tff(12551,plain,
% 8.76/6.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s313) | node4(s313) | (~until5(s313))),
% 8.76/6.30 inference(modus_ponens,[status(thm)],[12550, 12549])).
% 8.76/6.30 tff(12552,plain,
% 8.76/6.30 (xuntil6(s313) | (~until5(s313))),
% 8.76/6.30 inference(unit_resolution,[status(thm)],[12551, 36, 12545])).
% 8.76/6.30 tff(12553,plain,
% 8.76/6.30 (xuntil6(s313)),
% 8.76/6.30 inference(unit_resolution,[status(thm)],[12552, 12541])).
% 8.76/6.30 tff(12554,plain,
% 8.76/6.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s313, s314)) | (~xuntil6(s313)) | until5(s314))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s313, s314)) | (~xuntil6(s313)) | until5(s314))),
% 8.76/6.30 inference(rewrite,[status(thm)],[])).
% 8.76/6.30 tff(12555,plain,
% 8.76/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s313, s314)) | (~xuntil6(s313)) | until5(s314))),
% 8.76/6.30 inference(quant_inst,[status(thm)],[])).
% 8.76/6.30 tff(12556,plain,
% 8.76/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s313, s314)) | (~xuntil6(s313)) | until5(s314)),
% 8.76/6.30 inference(modus_ponens,[status(thm)],[12555, 12554])).
% 8.76/6.30 tff(12557,plain,
% 8.76/6.30 ((~xuntil6(s313)) | until5(s314)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12556, 5149, 141])).
% 8.86/6.30 tff(12558,plain,
% 8.86/6.30 (until5(s314)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12557, 12553])).
% 8.86/6.30 tff(12559,plain,
% 8.86/6.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s314) | (~node4(s314)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s314) | (~node4(s314)))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12560,plain,
% 8.86/6.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s314) | (~node4(s314)))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12561,plain,
% 8.86/6.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s314) | (~node4(s314))),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12560, 12559])).
% 8.86/6.30 tff(12562,plain,
% 8.86/6.30 (~node4(s314)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12561, 22, 5146])).
% 8.86/6.30 tff(12563,plain,
% 8.86/6.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s314) | node4(s314) | (~until5(s314)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s314) | node4(s314) | (~until5(s314)))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12564,plain,
% 8.86/6.30 ((node4(s314) | (~until5(s314)) | xuntil6(s314)) <=> (xuntil6(s314) | node4(s314) | (~until5(s314)))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12565,plain,
% 8.86/6.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s314) | (~until5(s314)) | xuntil6(s314))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s314) | node4(s314) | (~until5(s314))))),
% 8.86/6.30 inference(monotonicity,[status(thm)],[12564])).
% 8.86/6.30 tff(12566,plain,
% 8.86/6.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s314) | (~until5(s314)) | xuntil6(s314))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s314) | node4(s314) | (~until5(s314)))),
% 8.86/6.30 inference(transitivity,[status(thm)],[12565, 12563])).
% 8.86/6.30 tff(12567,plain,
% 8.86/6.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s314) | (~until5(s314)) | xuntil6(s314))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12568,plain,
% 8.86/6.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s314) | node4(s314) | (~until5(s314))),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12567, 12566])).
% 8.86/6.30 tff(12569,plain,
% 8.86/6.30 (xuntil6(s314) | (~until5(s314))),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12568, 36, 12562])).
% 8.86/6.30 tff(12570,plain,
% 8.86/6.30 (xuntil6(s314)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12569, 12558])).
% 8.86/6.30 tff(12571,plain,
% 8.86/6.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s314, s315)) | (~xuntil6(s314)) | until5(s315))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s314, s315)) | (~xuntil6(s314)) | until5(s315))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12572,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s314, s315)) | (~xuntil6(s314)) | until5(s315))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12573,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s314, s315)) | (~xuntil6(s314)) | until5(s315)),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12572, 12571])).
% 8.86/6.30 tff(12574,plain,
% 8.86/6.30 ((~xuntil6(s314)) | until5(s315)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12573, 5137, 141])).
% 8.86/6.30 tff(12575,plain,
% 8.86/6.30 (until5(s315)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12574, 12570])).
% 8.86/6.30 tff(12576,assumption,(until5(s261)), introduced(assumption)).
% 8.86/6.30 tff(12577,assumption,(~always3(s327)), introduced(assumption)).
% 8.86/6.30 tff(12578,plain,
% 8.86/6.30 (succ(s326, s327) <=> succ(s326, s327)),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12579,axiom,(succ(s326, s327)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound327')).
% 8.86/6.30 tff(12580,plain,
% 8.86/6.30 (succ(s326, s327)),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12579, 12578])).
% 8.86/6.30 tff(12581,plain,
% 8.86/6.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s326, s327)) | trans(s326, s327))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s326, s327)) | trans(s326, s327))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12582,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s326, s327)) | trans(s326, s327))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12583,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s326, s327)) | trans(s326, s327)),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12582, 12581])).
% 8.86/6.30 tff(12584,plain,
% 8.86/6.30 (trans(s326, s327)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12583, 12580, 51])).
% 8.86/6.30 tff(12585,plain,
% 8.86/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s326, s327)) | (~always3(s326)) | always3(s327))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s326, s327)) | (~always3(s326)) | always3(s327))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12586,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s326, s327)) | (~always3(s326)) | always3(s327))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12587,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s326, s327)) | (~always3(s326)) | always3(s327)),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12586, 12585])).
% 8.86/6.30 tff(12588,plain,
% 8.86/6.30 ((~always3(s326)) | always3(s327)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12587, 68, 12584])).
% 8.86/6.30 tff(12589,plain,
% 8.86/6.30 (~always3(s326)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12588, 12577])).
% 8.86/6.30 tff(12590,plain,
% 8.86/6.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s326) | (~node4(s326)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s326) | (~node4(s326)))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12591,plain,
% 8.86/6.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s326) | (~node4(s326)))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12592,plain,
% 8.86/6.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s326) | (~node4(s326))),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12591, 12590])).
% 8.86/6.30 tff(12593,plain,
% 8.86/6.30 (~node4(s326)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12592, 22, 12589])).
% 8.86/6.30 tff(12594,plain,
% 8.86/6.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s327) | (~node4(s327)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s327) | (~node4(s327)))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12595,plain,
% 8.86/6.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s327) | (~node4(s327)))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12596,plain,
% 8.86/6.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s327) | (~node4(s327))),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12595, 12594])).
% 8.86/6.30 tff(12597,plain,
% 8.86/6.30 (~node4(s327)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12596, 22, 12577])).
% 8.86/6.30 tff(12598,plain,
% 8.86/6.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s327) | node4(s327) | (~until5(s327)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s327) | node4(s327) | (~until5(s327)))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12599,plain,
% 8.86/6.30 ((node4(s327) | (~until5(s327)) | xuntil6(s327)) <=> (xuntil6(s327) | node4(s327) | (~until5(s327)))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12600,plain,
% 8.86/6.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s327) | (~until5(s327)) | xuntil6(s327))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s327) | node4(s327) | (~until5(s327))))),
% 8.86/6.30 inference(monotonicity,[status(thm)],[12599])).
% 8.86/6.30 tff(12601,plain,
% 8.86/6.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s327) | (~until5(s327)) | xuntil6(s327))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s327) | node4(s327) | (~until5(s327)))),
% 8.86/6.30 inference(transitivity,[status(thm)],[12600, 12598])).
% 8.86/6.30 tff(12602,plain,
% 8.86/6.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s327) | (~until5(s327)) | xuntil6(s327))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12603,plain,
% 8.86/6.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s327) | node4(s327) | (~until5(s327))),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12602, 12601])).
% 8.86/6.30 tff(12604,plain,
% 8.86/6.30 (node4(s327) | (~until5(s327))),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12603, 36, 5072])).
% 8.86/6.30 tff(12605,plain,
% 8.86/6.30 (~until5(s327)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12604, 12597])).
% 8.86/6.30 tff(12606,plain,
% 8.86/6.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s326, s327)) | (~xuntil6(s326)) | until5(s327))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s326, s327)) | (~xuntil6(s326)) | until5(s327))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12607,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s326, s327)) | (~xuntil6(s326)) | until5(s327))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12608,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s326, s327)) | (~xuntil6(s326)) | until5(s327)),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12607, 12606])).
% 8.86/6.30 tff(12609,plain,
% 8.86/6.30 ((~xuntil6(s326)) | until5(s327)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12608, 12580, 141])).
% 8.86/6.30 tff(12610,plain,
% 8.86/6.30 (~xuntil6(s326)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12609, 12605])).
% 8.86/6.30 tff(12611,plain,
% 8.86/6.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s326) | node4(s326) | (~until5(s326)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s326) | node4(s326) | (~until5(s326)))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12612,plain,
% 8.86/6.30 ((node4(s326) | (~until5(s326)) | xuntil6(s326)) <=> (xuntil6(s326) | node4(s326) | (~until5(s326)))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12613,plain,
% 8.86/6.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s326) | (~until5(s326)) | xuntil6(s326))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s326) | node4(s326) | (~until5(s326))))),
% 8.86/6.30 inference(monotonicity,[status(thm)],[12612])).
% 8.86/6.30 tff(12614,plain,
% 8.86/6.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s326) | (~until5(s326)) | xuntil6(s326))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s326) | node4(s326) | (~until5(s326)))),
% 8.86/6.30 inference(transitivity,[status(thm)],[12613, 12611])).
% 8.86/6.30 tff(12615,plain,
% 8.86/6.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s326) | (~until5(s326)) | xuntil6(s326))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12616,plain,
% 8.86/6.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s326) | node4(s326) | (~until5(s326))),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12615, 12614])).
% 8.86/6.30 tff(12617,plain,
% 8.86/6.30 (~until5(s326)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12616, 36, 12610, 12593])).
% 8.86/6.30 tff(12618,plain,
% 8.86/6.30 (succ(s325, s326) <=> succ(s325, s326)),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12619,axiom,(succ(s325, s326)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound326')).
% 8.86/6.30 tff(12620,plain,
% 8.86/6.30 (succ(s325, s326)),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12619, 12618])).
% 8.86/6.30 tff(12621,plain,
% 8.86/6.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s325, s326)) | (~xuntil6(s325)) | until5(s326))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s325, s326)) | (~xuntil6(s325)) | until5(s326))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12622,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s325, s326)) | (~xuntil6(s325)) | until5(s326))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12623,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s325, s326)) | (~xuntil6(s325)) | until5(s326)),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12622, 12621])).
% 8.86/6.30 tff(12624,plain,
% 8.86/6.30 ((~xuntil6(s325)) | until5(s326)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12623, 12620, 141])).
% 8.86/6.30 tff(12625,plain,
% 8.86/6.30 (~xuntil6(s325)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12624, 12617])).
% 8.86/6.30 tff(12626,plain,
% 8.86/6.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s325, s326)) | trans(s325, s326))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s325, s326)) | trans(s325, s326))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12627,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s325, s326)) | trans(s325, s326))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12628,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s325, s326)) | trans(s325, s326)),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12627, 12626])).
% 8.86/6.30 tff(12629,plain,
% 8.86/6.30 (trans(s325, s326)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12628, 12620, 51])).
% 8.86/6.30 tff(12630,plain,
% 8.86/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s325, s326)) | (~always3(s325)) | always3(s326))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s325, s326)) | (~always3(s325)) | always3(s326))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12631,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s325, s326)) | (~always3(s325)) | always3(s326))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12632,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s325, s326)) | (~always3(s325)) | always3(s326)),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12631, 12630])).
% 8.86/6.30 tff(12633,plain,
% 8.86/6.30 ((~always3(s325)) | always3(s326)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12632, 68, 12629])).
% 8.86/6.30 tff(12634,plain,
% 8.86/6.30 (~always3(s325)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12633, 12589])).
% 8.86/6.30 tff(12635,plain,
% 8.86/6.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s325) | (~node4(s325)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s325) | (~node4(s325)))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12636,plain,
% 8.86/6.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s325) | (~node4(s325)))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12637,plain,
% 8.86/6.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s325) | (~node4(s325))),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12636, 12635])).
% 8.86/6.30 tff(12638,plain,
% 8.86/6.30 (~node4(s325)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12637, 22, 12634])).
% 8.86/6.30 tff(12639,plain,
% 8.86/6.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s325) | node4(s325) | (~until5(s325)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s325) | node4(s325) | (~until5(s325)))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12640,plain,
% 8.86/6.30 ((node4(s325) | (~until5(s325)) | xuntil6(s325)) <=> (xuntil6(s325) | node4(s325) | (~until5(s325)))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12641,plain,
% 8.86/6.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s325) | (~until5(s325)) | xuntil6(s325))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s325) | node4(s325) | (~until5(s325))))),
% 8.86/6.30 inference(monotonicity,[status(thm)],[12640])).
% 8.86/6.30 tff(12642,plain,
% 8.86/6.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s325) | (~until5(s325)) | xuntil6(s325))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s325) | node4(s325) | (~until5(s325)))),
% 8.86/6.30 inference(transitivity,[status(thm)],[12641, 12639])).
% 8.86/6.30 tff(12643,plain,
% 8.86/6.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s325) | (~until5(s325)) | xuntil6(s325))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12644,plain,
% 8.86/6.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s325) | node4(s325) | (~until5(s325))),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12643, 12642])).
% 8.86/6.30 tff(12645,plain,
% 8.86/6.30 (xuntil6(s325) | (~until5(s325))),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12644, 36, 12638])).
% 8.86/6.30 tff(12646,plain,
% 8.86/6.30 (~until5(s325)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12645, 12625])).
% 8.86/6.30 tff(12647,plain,
% 8.86/6.30 (succ(s324, s325) <=> succ(s324, s325)),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12648,axiom,(succ(s324, s325)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound325')).
% 8.86/6.30 tff(12649,plain,
% 8.86/6.30 (succ(s324, s325)),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12648, 12647])).
% 8.86/6.30 tff(12650,plain,
% 8.86/6.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s324, s325)) | (~xuntil6(s324)) | until5(s325))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s324, s325)) | (~xuntil6(s324)) | until5(s325))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12651,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s324, s325)) | (~xuntil6(s324)) | until5(s325))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12652,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s324, s325)) | (~xuntil6(s324)) | until5(s325)),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12651, 12650])).
% 8.86/6.30 tff(12653,plain,
% 8.86/6.30 ((~xuntil6(s324)) | until5(s325)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12652, 12649, 141])).
% 8.86/6.30 tff(12654,plain,
% 8.86/6.30 (~xuntil6(s324)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12653, 12646])).
% 8.86/6.30 tff(12655,plain,
% 8.86/6.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s324, s325)) | trans(s324, s325))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s324, s325)) | trans(s324, s325))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12656,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s324, s325)) | trans(s324, s325))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12657,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s324, s325)) | trans(s324, s325)),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12656, 12655])).
% 8.86/6.30 tff(12658,plain,
% 8.86/6.30 (trans(s324, s325)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12657, 12649, 51])).
% 8.86/6.30 tff(12659,plain,
% 8.86/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s324, s325)) | (~always3(s324)) | always3(s325))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s324, s325)) | (~always3(s324)) | always3(s325))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12660,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s324, s325)) | (~always3(s324)) | always3(s325))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12661,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s324, s325)) | (~always3(s324)) | always3(s325)),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12660, 12659])).
% 8.86/6.30 tff(12662,plain,
% 8.86/6.30 ((~always3(s324)) | always3(s325)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12661, 68, 12658])).
% 8.86/6.30 tff(12663,plain,
% 8.86/6.30 (~always3(s324)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12662, 12634])).
% 8.86/6.30 tff(12664,plain,
% 8.86/6.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s324) | (~node4(s324)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s324) | (~node4(s324)))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12665,plain,
% 8.86/6.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s324) | (~node4(s324)))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12666,plain,
% 8.86/6.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s324) | (~node4(s324))),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12665, 12664])).
% 8.86/6.30 tff(12667,plain,
% 8.86/6.30 (~node4(s324)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12666, 22, 12663])).
% 8.86/6.30 tff(12668,plain,
% 8.86/6.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s324) | node4(s324) | (~until5(s324)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s324) | node4(s324) | (~until5(s324)))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12669,plain,
% 8.86/6.30 ((node4(s324) | (~until5(s324)) | xuntil6(s324)) <=> (xuntil6(s324) | node4(s324) | (~until5(s324)))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12670,plain,
% 8.86/6.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s324) | (~until5(s324)) | xuntil6(s324))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s324) | node4(s324) | (~until5(s324))))),
% 8.86/6.30 inference(monotonicity,[status(thm)],[12669])).
% 8.86/6.30 tff(12671,plain,
% 8.86/6.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s324) | (~until5(s324)) | xuntil6(s324))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s324) | node4(s324) | (~until5(s324)))),
% 8.86/6.30 inference(transitivity,[status(thm)],[12670, 12668])).
% 8.86/6.30 tff(12672,plain,
% 8.86/6.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s324) | (~until5(s324)) | xuntil6(s324))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12673,plain,
% 8.86/6.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s324) | node4(s324) | (~until5(s324))),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12672, 12671])).
% 8.86/6.30 tff(12674,plain,
% 8.86/6.30 (xuntil6(s324) | (~until5(s324))),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12673, 36, 12667])).
% 8.86/6.30 tff(12675,plain,
% 8.86/6.30 (~until5(s324)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12674, 12654])).
% 8.86/6.30 tff(12676,plain,
% 8.86/6.30 (succ(s323, s324) <=> succ(s323, s324)),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12677,axiom,(succ(s323, s324)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound324')).
% 8.86/6.30 tff(12678,plain,
% 8.86/6.30 (succ(s323, s324)),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12677, 12676])).
% 8.86/6.30 tff(12679,plain,
% 8.86/6.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s323, s324)) | (~xuntil6(s323)) | until5(s324))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s323, s324)) | (~xuntil6(s323)) | until5(s324))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12680,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s323, s324)) | (~xuntil6(s323)) | until5(s324))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12681,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s323, s324)) | (~xuntil6(s323)) | until5(s324)),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12680, 12679])).
% 8.86/6.30 tff(12682,plain,
% 8.86/6.30 ((~xuntil6(s323)) | until5(s324)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12681, 12678, 141])).
% 8.86/6.30 tff(12683,plain,
% 8.86/6.30 (~xuntil6(s323)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12682, 12675])).
% 8.86/6.30 tff(12684,plain,
% 8.86/6.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s323, s324)) | trans(s323, s324))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s323, s324)) | trans(s323, s324))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12685,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s323, s324)) | trans(s323, s324))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12686,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s323, s324)) | trans(s323, s324)),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12685, 12684])).
% 8.86/6.30 tff(12687,plain,
% 8.86/6.30 (trans(s323, s324)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12686, 12678, 51])).
% 8.86/6.30 tff(12688,plain,
% 8.86/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s323, s324)) | (~always3(s323)) | always3(s324))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s323, s324)) | (~always3(s323)) | always3(s324))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12689,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s323, s324)) | (~always3(s323)) | always3(s324))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12690,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s323, s324)) | (~always3(s323)) | always3(s324)),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12689, 12688])).
% 8.86/6.30 tff(12691,plain,
% 8.86/6.30 ((~always3(s323)) | always3(s324)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12690, 68, 12687])).
% 8.86/6.30 tff(12692,plain,
% 8.86/6.30 (~always3(s323)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12691, 12663])).
% 8.86/6.30 tff(12693,plain,
% 8.86/6.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s323) | (~node4(s323)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s323) | (~node4(s323)))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12694,plain,
% 8.86/6.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s323) | (~node4(s323)))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12695,plain,
% 8.86/6.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s323) | (~node4(s323))),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12694, 12693])).
% 8.86/6.30 tff(12696,plain,
% 8.86/6.30 (~node4(s323)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12695, 22, 12692])).
% 8.86/6.30 tff(12697,plain,
% 8.86/6.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s323) | node4(s323) | (~until5(s323)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s323) | node4(s323) | (~until5(s323)))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12698,plain,
% 8.86/6.30 ((node4(s323) | (~until5(s323)) | xuntil6(s323)) <=> (xuntil6(s323) | node4(s323) | (~until5(s323)))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12699,plain,
% 8.86/6.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s323) | (~until5(s323)) | xuntil6(s323))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s323) | node4(s323) | (~until5(s323))))),
% 8.86/6.30 inference(monotonicity,[status(thm)],[12698])).
% 8.86/6.30 tff(12700,plain,
% 8.86/6.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s323) | (~until5(s323)) | xuntil6(s323))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s323) | node4(s323) | (~until5(s323)))),
% 8.86/6.30 inference(transitivity,[status(thm)],[12699, 12697])).
% 8.86/6.30 tff(12701,plain,
% 8.86/6.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s323) | (~until5(s323)) | xuntil6(s323))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12702,plain,
% 8.86/6.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s323) | node4(s323) | (~until5(s323))),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12701, 12700])).
% 8.86/6.30 tff(12703,plain,
% 8.86/6.30 (xuntil6(s323) | (~until5(s323))),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12702, 36, 12696])).
% 8.86/6.30 tff(12704,plain,
% 8.86/6.30 (~until5(s323)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12703, 12683])).
% 8.86/6.30 tff(12705,plain,
% 8.86/6.30 (succ(s322, s323) <=> succ(s322, s323)),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12706,axiom,(succ(s322, s323)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound323')).
% 8.86/6.30 tff(12707,plain,
% 8.86/6.30 (succ(s322, s323)),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12706, 12705])).
% 8.86/6.30 tff(12708,plain,
% 8.86/6.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s322, s323)) | (~xuntil6(s322)) | until5(s323))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s322, s323)) | (~xuntil6(s322)) | until5(s323))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12709,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s322, s323)) | (~xuntil6(s322)) | until5(s323))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12710,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s322, s323)) | (~xuntil6(s322)) | until5(s323)),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12709, 12708])).
% 8.86/6.30 tff(12711,plain,
% 8.86/6.30 ((~xuntil6(s322)) | until5(s323)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12710, 12707, 141])).
% 8.86/6.30 tff(12712,plain,
% 8.86/6.30 (~xuntil6(s322)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12711, 12704])).
% 8.86/6.30 tff(12713,plain,
% 8.86/6.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s322, s323)) | trans(s322, s323))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s322, s323)) | trans(s322, s323))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12714,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s322, s323)) | trans(s322, s323))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12715,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s322, s323)) | trans(s322, s323)),
% 8.86/6.30 inference(modus_ponens,[status(thm)],[12714, 12713])).
% 8.86/6.30 tff(12716,plain,
% 8.86/6.30 (trans(s322, s323)),
% 8.86/6.30 inference(unit_resolution,[status(thm)],[12715, 12707, 51])).
% 8.86/6.30 tff(12717,plain,
% 8.86/6.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s322, s323)) | (~always3(s322)) | always3(s323))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s322, s323)) | (~always3(s322)) | always3(s323))),
% 8.86/6.30 inference(rewrite,[status(thm)],[])).
% 8.86/6.30 tff(12718,plain,
% 8.86/6.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s322, s323)) | (~always3(s322)) | always3(s323))),
% 8.86/6.30 inference(quant_inst,[status(thm)],[])).
% 8.86/6.30 tff(12719,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s322, s323)) | (~always3(s322)) | always3(s323)),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12718, 12717])).
% 8.86/6.31 tff(12720,plain,
% 8.86/6.31 ((~always3(s322)) | always3(s323)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12719, 68, 12716])).
% 8.86/6.31 tff(12721,plain,
% 8.86/6.31 (~always3(s322)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12720, 12692])).
% 8.86/6.31 tff(12722,plain,
% 8.86/6.31 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s322) | (~node4(s322)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s322) | (~node4(s322)))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12723,plain,
% 8.86/6.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s322) | (~node4(s322)))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12724,plain,
% 8.86/6.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s322) | (~node4(s322))),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12723, 12722])).
% 8.86/6.31 tff(12725,plain,
% 8.86/6.31 (~node4(s322)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12724, 22, 12721])).
% 8.86/6.31 tff(12726,plain,
% 8.86/6.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s322) | node4(s322) | (~until5(s322)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s322) | node4(s322) | (~until5(s322)))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12727,plain,
% 8.86/6.31 ((node4(s322) | (~until5(s322)) | xuntil6(s322)) <=> (xuntil6(s322) | node4(s322) | (~until5(s322)))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12728,plain,
% 8.86/6.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s322) | (~until5(s322)) | xuntil6(s322))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s322) | node4(s322) | (~until5(s322))))),
% 8.86/6.31 inference(monotonicity,[status(thm)],[12727])).
% 8.86/6.31 tff(12729,plain,
% 8.86/6.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s322) | (~until5(s322)) | xuntil6(s322))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s322) | node4(s322) | (~until5(s322)))),
% 8.86/6.31 inference(transitivity,[status(thm)],[12728, 12726])).
% 8.86/6.31 tff(12730,plain,
% 8.86/6.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s322) | (~until5(s322)) | xuntil6(s322))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12731,plain,
% 8.86/6.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s322) | node4(s322) | (~until5(s322))),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12730, 12729])).
% 8.86/6.31 tff(12732,plain,
% 8.86/6.31 (xuntil6(s322) | (~until5(s322))),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12731, 36, 12725])).
% 8.86/6.31 tff(12733,plain,
% 8.86/6.31 (~until5(s322)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12732, 12712])).
% 8.86/6.31 tff(12734,plain,
% 8.86/6.31 (succ(s321, s322) <=> succ(s321, s322)),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12735,axiom,(succ(s321, s322)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound322')).
% 8.86/6.31 tff(12736,plain,
% 8.86/6.31 (succ(s321, s322)),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12735, 12734])).
% 8.86/6.31 tff(12737,plain,
% 8.86/6.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s321, s322)) | (~xuntil6(s321)) | until5(s322))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s321, s322)) | (~xuntil6(s321)) | until5(s322))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12738,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s321, s322)) | (~xuntil6(s321)) | until5(s322))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12739,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s321, s322)) | (~xuntil6(s321)) | until5(s322)),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12738, 12737])).
% 8.86/6.31 tff(12740,plain,
% 8.86/6.31 ((~xuntil6(s321)) | until5(s322)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12739, 12736, 141])).
% 8.86/6.31 tff(12741,plain,
% 8.86/6.31 (~xuntil6(s321)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12740, 12733])).
% 8.86/6.31 tff(12742,plain,
% 8.86/6.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s321, s322)) | trans(s321, s322))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s321, s322)) | trans(s321, s322))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12743,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s321, s322)) | trans(s321, s322))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12744,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s321, s322)) | trans(s321, s322)),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12743, 12742])).
% 8.86/6.31 tff(12745,plain,
% 8.86/6.31 (trans(s321, s322)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12744, 12736, 51])).
% 8.86/6.31 tff(12746,plain,
% 8.86/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s321, s322)) | (~always3(s321)) | always3(s322))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s321, s322)) | (~always3(s321)) | always3(s322))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12747,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s321, s322)) | (~always3(s321)) | always3(s322))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12748,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s321, s322)) | (~always3(s321)) | always3(s322)),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12747, 12746])).
% 8.86/6.31 tff(12749,plain,
% 8.86/6.31 ((~always3(s321)) | always3(s322)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12748, 68, 12745])).
% 8.86/6.31 tff(12750,plain,
% 8.86/6.31 (~always3(s321)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12749, 12721])).
% 8.86/6.31 tff(12751,plain,
% 8.86/6.31 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s321) | (~node4(s321)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s321) | (~node4(s321)))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12752,plain,
% 8.86/6.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s321) | (~node4(s321)))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12753,plain,
% 8.86/6.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s321) | (~node4(s321))),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12752, 12751])).
% 8.86/6.31 tff(12754,plain,
% 8.86/6.31 (~node4(s321)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12753, 22, 12750])).
% 8.86/6.31 tff(12755,plain,
% 8.86/6.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s321) | node4(s321) | (~until5(s321)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s321) | node4(s321) | (~until5(s321)))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12756,plain,
% 8.86/6.31 ((node4(s321) | (~until5(s321)) | xuntil6(s321)) <=> (xuntil6(s321) | node4(s321) | (~until5(s321)))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12757,plain,
% 8.86/6.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s321) | (~until5(s321)) | xuntil6(s321))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s321) | node4(s321) | (~until5(s321))))),
% 8.86/6.31 inference(monotonicity,[status(thm)],[12756])).
% 8.86/6.31 tff(12758,plain,
% 8.86/6.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s321) | (~until5(s321)) | xuntil6(s321))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s321) | node4(s321) | (~until5(s321)))),
% 8.86/6.31 inference(transitivity,[status(thm)],[12757, 12755])).
% 8.86/6.31 tff(12759,plain,
% 8.86/6.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s321) | (~until5(s321)) | xuntil6(s321))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12760,plain,
% 8.86/6.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s321) | node4(s321) | (~until5(s321))),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12759, 12758])).
% 8.86/6.31 tff(12761,plain,
% 8.86/6.31 (xuntil6(s321) | (~until5(s321))),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12760, 36, 12754])).
% 8.86/6.31 tff(12762,plain,
% 8.86/6.31 (~until5(s321)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12761, 12741])).
% 8.86/6.31 tff(12763,plain,
% 8.86/6.31 (succ(s320, s321) <=> succ(s320, s321)),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12764,axiom,(succ(s320, s321)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound321')).
% 8.86/6.31 tff(12765,plain,
% 8.86/6.31 (succ(s320, s321)),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12764, 12763])).
% 8.86/6.31 tff(12766,plain,
% 8.86/6.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s320, s321)) | (~xuntil6(s320)) | until5(s321))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s320, s321)) | (~xuntil6(s320)) | until5(s321))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12767,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s320, s321)) | (~xuntil6(s320)) | until5(s321))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12768,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s320, s321)) | (~xuntil6(s320)) | until5(s321)),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12767, 12766])).
% 8.86/6.31 tff(12769,plain,
% 8.86/6.31 ((~xuntil6(s320)) | until5(s321)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12768, 12765, 141])).
% 8.86/6.31 tff(12770,plain,
% 8.86/6.31 (~xuntil6(s320)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12769, 12762])).
% 8.86/6.31 tff(12771,plain,
% 8.86/6.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s320, s321)) | trans(s320, s321))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s320, s321)) | trans(s320, s321))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12772,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s320, s321)) | trans(s320, s321))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12773,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s320, s321)) | trans(s320, s321)),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12772, 12771])).
% 8.86/6.31 tff(12774,plain,
% 8.86/6.31 (trans(s320, s321)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12773, 12765, 51])).
% 8.86/6.31 tff(12775,plain,
% 8.86/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s320, s321)) | (~always3(s320)) | always3(s321))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s320, s321)) | (~always3(s320)) | always3(s321))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12776,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s320, s321)) | (~always3(s320)) | always3(s321))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12777,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s320, s321)) | (~always3(s320)) | always3(s321)),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12776, 12775])).
% 8.86/6.31 tff(12778,plain,
% 8.86/6.31 ((~always3(s320)) | always3(s321)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12777, 68, 12774])).
% 8.86/6.31 tff(12779,plain,
% 8.86/6.31 (~always3(s320)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12778, 12750])).
% 8.86/6.31 tff(12780,plain,
% 8.86/6.31 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s320) | (~node4(s320)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s320) | (~node4(s320)))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12781,plain,
% 8.86/6.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s320) | (~node4(s320)))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12782,plain,
% 8.86/6.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s320) | (~node4(s320))),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12781, 12780])).
% 8.86/6.31 tff(12783,plain,
% 8.86/6.31 (~node4(s320)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12782, 22, 12779])).
% 8.86/6.31 tff(12784,plain,
% 8.86/6.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s320) | node4(s320) | (~until5(s320)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s320) | node4(s320) | (~until5(s320)))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12785,plain,
% 8.86/6.31 ((node4(s320) | (~until5(s320)) | xuntil6(s320)) <=> (xuntil6(s320) | node4(s320) | (~until5(s320)))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12786,plain,
% 8.86/6.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s320) | (~until5(s320)) | xuntil6(s320))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s320) | node4(s320) | (~until5(s320))))),
% 8.86/6.31 inference(monotonicity,[status(thm)],[12785])).
% 8.86/6.31 tff(12787,plain,
% 8.86/6.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s320) | (~until5(s320)) | xuntil6(s320))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s320) | node4(s320) | (~until5(s320)))),
% 8.86/6.31 inference(transitivity,[status(thm)],[12786, 12784])).
% 8.86/6.31 tff(12788,plain,
% 8.86/6.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s320) | (~until5(s320)) | xuntil6(s320))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12789,plain,
% 8.86/6.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s320) | node4(s320) | (~until5(s320))),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12788, 12787])).
% 8.86/6.31 tff(12790,plain,
% 8.86/6.31 (xuntil6(s320) | (~until5(s320))),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12789, 36, 12783])).
% 8.86/6.31 tff(12791,plain,
% 8.86/6.31 (~until5(s320)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12790, 12770])).
% 8.86/6.31 tff(12792,plain,
% 8.86/6.31 (succ(s319, s320) <=> succ(s319, s320)),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12793,axiom,(succ(s319, s320)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound320')).
% 8.86/6.31 tff(12794,plain,
% 8.86/6.31 (succ(s319, s320)),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12793, 12792])).
% 8.86/6.31 tff(12795,plain,
% 8.86/6.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s319, s320)) | (~xuntil6(s319)) | until5(s320))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s319, s320)) | (~xuntil6(s319)) | until5(s320))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12796,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s319, s320)) | (~xuntil6(s319)) | until5(s320))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12797,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s319, s320)) | (~xuntil6(s319)) | until5(s320)),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12796, 12795])).
% 8.86/6.31 tff(12798,plain,
% 8.86/6.31 ((~xuntil6(s319)) | until5(s320)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12797, 12794, 141])).
% 8.86/6.31 tff(12799,plain,
% 8.86/6.31 (~xuntil6(s319)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12798, 12791])).
% 8.86/6.31 tff(12800,plain,
% 8.86/6.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s319, s320)) | trans(s319, s320))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s319, s320)) | trans(s319, s320))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12801,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s319, s320)) | trans(s319, s320))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12802,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s319, s320)) | trans(s319, s320)),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12801, 12800])).
% 8.86/6.31 tff(12803,plain,
% 8.86/6.31 (trans(s319, s320)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12802, 12794, 51])).
% 8.86/6.31 tff(12804,plain,
% 8.86/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s319, s320)) | (~always3(s319)) | always3(s320))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s319, s320)) | (~always3(s319)) | always3(s320))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12805,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s319, s320)) | (~always3(s319)) | always3(s320))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12806,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s319, s320)) | (~always3(s319)) | always3(s320)),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12805, 12804])).
% 8.86/6.31 tff(12807,plain,
% 8.86/6.31 ((~always3(s319)) | always3(s320)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12806, 68, 12803])).
% 8.86/6.31 tff(12808,plain,
% 8.86/6.31 (~always3(s319)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12807, 12779])).
% 8.86/6.31 tff(12809,plain,
% 8.86/6.31 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s319) | (~node4(s319)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s319) | (~node4(s319)))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12810,plain,
% 8.86/6.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s319) | (~node4(s319)))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12811,plain,
% 8.86/6.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s319) | (~node4(s319))),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12810, 12809])).
% 8.86/6.31 tff(12812,plain,
% 8.86/6.31 (~node4(s319)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12811, 22, 12808])).
% 8.86/6.31 tff(12813,plain,
% 8.86/6.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s319) | node4(s319) | (~until5(s319)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s319) | node4(s319) | (~until5(s319)))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12814,plain,
% 8.86/6.31 ((node4(s319) | (~until5(s319)) | xuntil6(s319)) <=> (xuntil6(s319) | node4(s319) | (~until5(s319)))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12815,plain,
% 8.86/6.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s319) | (~until5(s319)) | xuntil6(s319))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s319) | node4(s319) | (~until5(s319))))),
% 8.86/6.31 inference(monotonicity,[status(thm)],[12814])).
% 8.86/6.31 tff(12816,plain,
% 8.86/6.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s319) | (~until5(s319)) | xuntil6(s319))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s319) | node4(s319) | (~until5(s319)))),
% 8.86/6.31 inference(transitivity,[status(thm)],[12815, 12813])).
% 8.86/6.31 tff(12817,plain,
% 8.86/6.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s319) | (~until5(s319)) | xuntil6(s319))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12818,plain,
% 8.86/6.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s319) | node4(s319) | (~until5(s319))),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12817, 12816])).
% 8.86/6.31 tff(12819,plain,
% 8.86/6.31 (xuntil6(s319) | (~until5(s319))),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12818, 36, 12812])).
% 8.86/6.31 tff(12820,plain,
% 8.86/6.31 (~until5(s319)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12819, 12799])).
% 8.86/6.31 tff(12821,plain,
% 8.86/6.31 (succ(s318, s319) <=> succ(s318, s319)),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12822,axiom,(succ(s318, s319)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound319')).
% 8.86/6.31 tff(12823,plain,
% 8.86/6.31 (succ(s318, s319)),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12822, 12821])).
% 8.86/6.31 tff(12824,plain,
% 8.86/6.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s318, s319)) | (~xuntil6(s318)) | until5(s319))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s318, s319)) | (~xuntil6(s318)) | until5(s319))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12825,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s318, s319)) | (~xuntil6(s318)) | until5(s319))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12826,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s318, s319)) | (~xuntil6(s318)) | until5(s319)),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12825, 12824])).
% 8.86/6.31 tff(12827,plain,
% 8.86/6.31 ((~xuntil6(s318)) | until5(s319)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12826, 12823, 141])).
% 8.86/6.31 tff(12828,plain,
% 8.86/6.31 (~xuntil6(s318)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12827, 12820])).
% 8.86/6.31 tff(12829,plain,
% 8.86/6.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s318, s319)) | trans(s318, s319))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s318, s319)) | trans(s318, s319))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12830,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s318, s319)) | trans(s318, s319))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12831,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s318, s319)) | trans(s318, s319)),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12830, 12829])).
% 8.86/6.31 tff(12832,plain,
% 8.86/6.31 (trans(s318, s319)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12831, 12823, 51])).
% 8.86/6.31 tff(12833,plain,
% 8.86/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s318, s319)) | (~always3(s318)) | always3(s319))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s318, s319)) | (~always3(s318)) | always3(s319))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12834,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s318, s319)) | (~always3(s318)) | always3(s319))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12835,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s318, s319)) | (~always3(s318)) | always3(s319)),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12834, 12833])).
% 8.86/6.31 tff(12836,plain,
% 8.86/6.31 ((~always3(s318)) | always3(s319)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12835, 68, 12832])).
% 8.86/6.31 tff(12837,plain,
% 8.86/6.31 (~always3(s318)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12836, 12808])).
% 8.86/6.31 tff(12838,plain,
% 8.86/6.31 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s318) | (~node4(s318)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s318) | (~node4(s318)))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12839,plain,
% 8.86/6.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s318) | (~node4(s318)))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12840,plain,
% 8.86/6.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s318) | (~node4(s318))),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12839, 12838])).
% 8.86/6.31 tff(12841,plain,
% 8.86/6.31 (~node4(s318)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12840, 22, 12837])).
% 8.86/6.31 tff(12842,plain,
% 8.86/6.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s318) | node4(s318) | (~until5(s318)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s318) | node4(s318) | (~until5(s318)))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12843,plain,
% 8.86/6.31 ((node4(s318) | (~until5(s318)) | xuntil6(s318)) <=> (xuntil6(s318) | node4(s318) | (~until5(s318)))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12844,plain,
% 8.86/6.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s318) | (~until5(s318)) | xuntil6(s318))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s318) | node4(s318) | (~until5(s318))))),
% 8.86/6.31 inference(monotonicity,[status(thm)],[12843])).
% 8.86/6.31 tff(12845,plain,
% 8.86/6.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s318) | (~until5(s318)) | xuntil6(s318))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s318) | node4(s318) | (~until5(s318)))),
% 8.86/6.31 inference(transitivity,[status(thm)],[12844, 12842])).
% 8.86/6.31 tff(12846,plain,
% 8.86/6.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s318) | (~until5(s318)) | xuntil6(s318))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12847,plain,
% 8.86/6.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s318) | node4(s318) | (~until5(s318))),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12846, 12845])).
% 8.86/6.31 tff(12848,plain,
% 8.86/6.31 (xuntil6(s318) | (~until5(s318))),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12847, 36, 12841])).
% 8.86/6.31 tff(12849,plain,
% 8.86/6.31 (~until5(s318)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12848, 12828])).
% 8.86/6.31 tff(12850,plain,
% 8.86/6.31 (succ(s317, s318) <=> succ(s317, s318)),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12851,axiom,(succ(s317, s318)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound318')).
% 8.86/6.31 tff(12852,plain,
% 8.86/6.31 (succ(s317, s318)),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12851, 12850])).
% 8.86/6.31 tff(12853,plain,
% 8.86/6.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s317, s318)) | (~xuntil6(s317)) | until5(s318))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s317, s318)) | (~xuntil6(s317)) | until5(s318))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12854,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s317, s318)) | (~xuntil6(s317)) | until5(s318))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12855,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s317, s318)) | (~xuntil6(s317)) | until5(s318)),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12854, 12853])).
% 8.86/6.31 tff(12856,plain,
% 8.86/6.31 ((~xuntil6(s317)) | until5(s318)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12855, 12852, 141])).
% 8.86/6.31 tff(12857,plain,
% 8.86/6.31 (~xuntil6(s317)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12856, 12849])).
% 8.86/6.31 tff(12858,plain,
% 8.86/6.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s317, s318)) | trans(s317, s318))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s317, s318)) | trans(s317, s318))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12859,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s317, s318)) | trans(s317, s318))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12860,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s317, s318)) | trans(s317, s318)),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12859, 12858])).
% 8.86/6.31 tff(12861,plain,
% 8.86/6.31 (trans(s317, s318)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12860, 12852, 51])).
% 8.86/6.31 tff(12862,plain,
% 8.86/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s317, s318)) | (~always3(s317)) | always3(s318))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s317, s318)) | (~always3(s317)) | always3(s318))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12863,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s317, s318)) | (~always3(s317)) | always3(s318))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12864,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s317, s318)) | (~always3(s317)) | always3(s318)),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12863, 12862])).
% 8.86/6.31 tff(12865,plain,
% 8.86/6.31 ((~always3(s317)) | always3(s318)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12864, 68, 12861])).
% 8.86/6.31 tff(12866,plain,
% 8.86/6.31 (~always3(s317)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12865, 12837])).
% 8.86/6.31 tff(12867,plain,
% 8.86/6.31 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s317) | (~node4(s317)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s317) | (~node4(s317)))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12868,plain,
% 8.86/6.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s317) | (~node4(s317)))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12869,plain,
% 8.86/6.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s317) | (~node4(s317))),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12868, 12867])).
% 8.86/6.31 tff(12870,plain,
% 8.86/6.31 (~node4(s317)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12869, 22, 12866])).
% 8.86/6.31 tff(12871,plain,
% 8.86/6.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s317) | node4(s317) | (~until5(s317)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s317) | node4(s317) | (~until5(s317)))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12872,plain,
% 8.86/6.31 ((node4(s317) | (~until5(s317)) | xuntil6(s317)) <=> (xuntil6(s317) | node4(s317) | (~until5(s317)))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12873,plain,
% 8.86/6.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s317) | (~until5(s317)) | xuntil6(s317))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s317) | node4(s317) | (~until5(s317))))),
% 8.86/6.31 inference(monotonicity,[status(thm)],[12872])).
% 8.86/6.31 tff(12874,plain,
% 8.86/6.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s317) | (~until5(s317)) | xuntil6(s317))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s317) | node4(s317) | (~until5(s317)))),
% 8.86/6.31 inference(transitivity,[status(thm)],[12873, 12871])).
% 8.86/6.31 tff(12875,plain,
% 8.86/6.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s317) | (~until5(s317)) | xuntil6(s317))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12876,plain,
% 8.86/6.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s317) | node4(s317) | (~until5(s317))),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12875, 12874])).
% 8.86/6.31 tff(12877,plain,
% 8.86/6.31 (xuntil6(s317) | (~until5(s317))),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12876, 36, 12870])).
% 8.86/6.31 tff(12878,plain,
% 8.86/6.31 (~until5(s317)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12877, 12857])).
% 8.86/6.31 tff(12879,plain,
% 8.86/6.31 (succ(s316, s317) <=> succ(s316, s317)),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12880,axiom,(succ(s316, s317)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound317')).
% 8.86/6.31 tff(12881,plain,
% 8.86/6.31 (succ(s316, s317)),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12880, 12879])).
% 8.86/6.31 tff(12882,plain,
% 8.86/6.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s316, s317)) | (~xuntil6(s316)) | until5(s317))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s316, s317)) | (~xuntil6(s316)) | until5(s317))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12883,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s316, s317)) | (~xuntil6(s316)) | until5(s317))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12884,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s316, s317)) | (~xuntil6(s316)) | until5(s317)),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12883, 12882])).
% 8.86/6.31 tff(12885,plain,
% 8.86/6.31 ((~xuntil6(s316)) | until5(s317)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12884, 12881, 141])).
% 8.86/6.31 tff(12886,plain,
% 8.86/6.31 (~xuntil6(s316)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12885, 12878])).
% 8.86/6.31 tff(12887,plain,
% 8.86/6.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s316, s317)) | trans(s316, s317))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s316, s317)) | trans(s316, s317))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12888,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s316, s317)) | trans(s316, s317))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12889,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s316, s317)) | trans(s316, s317)),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12888, 12887])).
% 8.86/6.31 tff(12890,plain,
% 8.86/6.31 (trans(s316, s317)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12889, 12881, 51])).
% 8.86/6.31 tff(12891,plain,
% 8.86/6.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s316, s317)) | (~always3(s316)) | always3(s317))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s316, s317)) | (~always3(s316)) | always3(s317))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12892,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s316, s317)) | (~always3(s316)) | always3(s317))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12893,plain,
% 8.86/6.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s316, s317)) | (~always3(s316)) | always3(s317)),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12892, 12891])).
% 8.86/6.31 tff(12894,plain,
% 8.86/6.31 ((~always3(s316)) | always3(s317)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12893, 68, 12890])).
% 8.86/6.31 tff(12895,plain,
% 8.86/6.31 (~always3(s316)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12894, 12866])).
% 8.86/6.31 tff(12896,plain,
% 8.86/6.31 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s316) | (~node4(s316)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s316) | (~node4(s316)))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12897,plain,
% 8.86/6.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s316) | (~node4(s316)))),
% 8.86/6.31 inference(quant_inst,[status(thm)],[])).
% 8.86/6.31 tff(12898,plain,
% 8.86/6.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s316) | (~node4(s316))),
% 8.86/6.31 inference(modus_ponens,[status(thm)],[12897, 12896])).
% 8.86/6.31 tff(12899,plain,
% 8.86/6.31 (~node4(s316)),
% 8.86/6.31 inference(unit_resolution,[status(thm)],[12898, 22, 12895])).
% 8.86/6.31 tff(12900,plain,
% 8.86/6.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s316) | node4(s316) | (~until5(s316)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s316) | node4(s316) | (~until5(s316)))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12901,plain,
% 8.86/6.31 ((node4(s316) | (~until5(s316)) | xuntil6(s316)) <=> (xuntil6(s316) | node4(s316) | (~until5(s316)))),
% 8.86/6.31 inference(rewrite,[status(thm)],[])).
% 8.86/6.31 tff(12902,plain,
% 8.86/6.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s316) | (~until5(s316)) | xuntil6(s316))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s316) | node4(s316) | (~until5(s316))))),
% 8.86/6.31 inference(monotonicity,[status(thm)],[12901])).
% 8.86/6.31 tff(12903,plain,
% 8.86/6.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s316) | (~until5(s316)) | xuntil6(s316))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s316) | node4(s316) | (~until5(s316)))),
% 8.86/6.32 inference(transitivity,[status(thm)],[12902, 12900])).
% 8.86/6.32 tff(12904,plain,
% 8.86/6.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s316) | (~until5(s316)) | xuntil6(s316))),
% 8.86/6.32 inference(quant_inst,[status(thm)],[])).
% 8.86/6.32 tff(12905,plain,
% 8.86/6.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s316) | node4(s316) | (~until5(s316))),
% 8.86/6.32 inference(modus_ponens,[status(thm)],[12904, 12903])).
% 8.86/6.32 tff(12906,plain,
% 8.86/6.32 (xuntil6(s316) | (~until5(s316))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12905, 36, 12899])).
% 8.86/6.32 tff(12907,plain,
% 8.86/6.32 (~until5(s316)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12906, 12886])).
% 8.86/6.32 tff(12908,plain,
% 8.86/6.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s315, s316)) | (~xuntil6(s315)) | until5(s316))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s315, s316)) | (~xuntil6(s315)) | until5(s316))),
% 8.86/6.32 inference(rewrite,[status(thm)],[])).
% 8.86/6.32 tff(12909,plain,
% 8.86/6.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s315, s316)) | (~xuntil6(s315)) | until5(s316))),
% 8.86/6.32 inference(quant_inst,[status(thm)],[])).
% 8.86/6.32 tff(12910,plain,
% 8.86/6.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s315, s316)) | (~xuntil6(s315)) | until5(s316)),
% 8.86/6.32 inference(modus_ponens,[status(thm)],[12909, 12908])).
% 8.86/6.32 tff(12911,plain,
% 8.86/6.32 ((~xuntil6(s315)) | until5(s316)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12910, 5125, 141])).
% 8.86/6.32 tff(12912,plain,
% 8.86/6.32 (~xuntil6(s315)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12911, 12907])).
% 8.86/6.32 tff(12913,plain,
% 8.86/6.32 (~always3(s315)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5133, 12895])).
% 8.86/6.32 tff(12914,plain,
% 8.86/6.32 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s315) | (~node4(s315)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s315) | (~node4(s315)))),
% 8.86/6.32 inference(rewrite,[status(thm)],[])).
% 8.86/6.32 tff(12915,plain,
% 8.86/6.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s315) | (~node4(s315)))),
% 8.86/6.32 inference(quant_inst,[status(thm)],[])).
% 8.86/6.32 tff(12916,plain,
% 8.86/6.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s315) | (~node4(s315))),
% 8.86/6.32 inference(modus_ponens,[status(thm)],[12915, 12914])).
% 8.86/6.32 tff(12917,plain,
% 8.86/6.32 (~node4(s315)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12916, 22, 12913])).
% 8.86/6.32 tff(12918,plain,
% 8.86/6.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s315) | node4(s315) | (~until5(s315)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s315) | node4(s315) | (~until5(s315)))),
% 8.86/6.32 inference(rewrite,[status(thm)],[])).
% 8.86/6.32 tff(12919,plain,
% 8.86/6.32 ((node4(s315) | (~until5(s315)) | xuntil6(s315)) <=> (xuntil6(s315) | node4(s315) | (~until5(s315)))),
% 8.86/6.32 inference(rewrite,[status(thm)],[])).
% 8.86/6.32 tff(12920,plain,
% 8.86/6.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s315) | (~until5(s315)) | xuntil6(s315))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s315) | node4(s315) | (~until5(s315))))),
% 8.86/6.32 inference(monotonicity,[status(thm)],[12919])).
% 8.86/6.32 tff(12921,plain,
% 8.86/6.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s315) | (~until5(s315)) | xuntil6(s315))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s315) | node4(s315) | (~until5(s315)))),
% 8.86/6.32 inference(transitivity,[status(thm)],[12920, 12918])).
% 8.86/6.32 tff(12922,plain,
% 8.86/6.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s315) | (~until5(s315)) | xuntil6(s315))),
% 8.86/6.32 inference(quant_inst,[status(thm)],[])).
% 8.86/6.32 tff(12923,plain,
% 8.86/6.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s315) | node4(s315) | (~until5(s315))),
% 8.86/6.32 inference(modus_ponens,[status(thm)],[12922, 12921])).
% 8.86/6.32 tff(12924,plain,
% 8.86/6.32 (xuntil6(s315) | (~until5(s315))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12923, 36, 12917])).
% 8.86/6.32 tff(12925,plain,
% 8.86/6.32 (~until5(s315)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12924, 12912])).
% 8.86/6.32 tff(12926,plain,
% 8.86/6.32 (~xuntil6(s314)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12574, 12925])).
% 8.86/6.32 tff(12927,plain,
% 8.86/6.32 (~always3(s314)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5145, 12913])).
% 8.86/6.32 tff(12928,plain,
% 8.86/6.32 (~node4(s314)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12561, 22, 12927])).
% 8.86/6.32 tff(12929,plain,
% 8.86/6.32 (xuntil6(s314) | (~until5(s314))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12568, 36, 12928])).
% 8.86/6.32 tff(12930,plain,
% 8.86/6.32 (~until5(s314)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12929, 12926])).
% 8.86/6.32 tff(12931,plain,
% 8.86/6.32 (~xuntil6(s313)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12557, 12930])).
% 8.86/6.32 tff(12932,plain,
% 8.86/6.32 (~always3(s313)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5157, 12927])).
% 8.86/6.32 tff(12933,plain,
% 8.86/6.32 (~node4(s313)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12544, 22, 12932])).
% 8.86/6.32 tff(12934,plain,
% 8.86/6.32 (xuntil6(s313) | (~until5(s313))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12551, 36, 12933])).
% 8.86/6.32 tff(12935,plain,
% 8.86/6.32 (~until5(s313)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12934, 12931])).
% 8.86/6.32 tff(12936,plain,
% 8.86/6.32 (~xuntil6(s312)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12540, 12935])).
% 8.86/6.32 tff(12937,plain,
% 8.86/6.32 (~always3(s312)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5169, 12932])).
% 8.86/6.32 tff(12938,plain,
% 8.86/6.32 (~node4(s312)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12527, 22, 12937])).
% 8.86/6.32 tff(12939,plain,
% 8.86/6.32 (xuntil6(s312) | (~until5(s312))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12534, 36, 12938])).
% 8.86/6.32 tff(12940,plain,
% 8.86/6.32 (~until5(s312)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12939, 12936])).
% 8.86/6.32 tff(12941,plain,
% 8.86/6.32 (~xuntil6(s311)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12523, 12940])).
% 8.86/6.32 tff(12942,plain,
% 8.86/6.32 (~always3(s311)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5181, 12937])).
% 8.86/6.32 tff(12943,plain,
% 8.86/6.32 (~node4(s311)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12510, 22, 12942])).
% 8.86/6.32 tff(12944,plain,
% 8.86/6.32 (xuntil6(s311) | (~until5(s311))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12517, 36, 12943])).
% 8.86/6.32 tff(12945,plain,
% 8.86/6.32 (~until5(s311)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12944, 12941])).
% 8.86/6.32 tff(12946,plain,
% 8.86/6.32 (~xuntil6(s310)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12506, 12945])).
% 8.86/6.32 tff(12947,plain,
% 8.86/6.32 (~always3(s310)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5193, 12942])).
% 8.86/6.32 tff(12948,plain,
% 8.86/6.32 (~node4(s310)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12493, 22, 12947])).
% 8.86/6.32 tff(12949,plain,
% 8.86/6.32 (xuntil6(s310) | (~until5(s310))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12500, 36, 12948])).
% 8.86/6.32 tff(12950,plain,
% 8.86/6.32 (~until5(s310)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12949, 12946])).
% 8.86/6.32 tff(12951,plain,
% 8.86/6.32 (~xuntil6(s309)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12489, 12950])).
% 8.86/6.32 tff(12952,plain,
% 8.86/6.32 (~always3(s309)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5205, 12947])).
% 8.86/6.32 tff(12953,plain,
% 8.86/6.32 (~node4(s309)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12476, 22, 12952])).
% 8.86/6.32 tff(12954,plain,
% 8.86/6.32 (xuntil6(s309) | (~until5(s309))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12483, 36, 12953])).
% 8.86/6.32 tff(12955,plain,
% 8.86/6.32 (~until5(s309)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12954, 12951])).
% 8.86/6.32 tff(12956,plain,
% 8.86/6.32 (~xuntil6(s308)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12472, 12955])).
% 8.86/6.32 tff(12957,plain,
% 8.86/6.32 (~always3(s308)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5217, 12952])).
% 8.86/6.32 tff(12958,plain,
% 8.86/6.32 (~node4(s308)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12459, 22, 12957])).
% 8.86/6.32 tff(12959,plain,
% 8.86/6.32 (xuntil6(s308) | (~until5(s308))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12466, 36, 12958])).
% 8.86/6.32 tff(12960,plain,
% 8.86/6.32 (~until5(s308)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12959, 12956])).
% 8.86/6.32 tff(12961,plain,
% 8.86/6.32 (~xuntil6(s307)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12455, 12960])).
% 8.86/6.32 tff(12962,plain,
% 8.86/6.32 (~always3(s307)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5229, 12957])).
% 8.86/6.32 tff(12963,plain,
% 8.86/6.32 (~node4(s307)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12442, 22, 12962])).
% 8.86/6.32 tff(12964,plain,
% 8.86/6.32 (xuntil6(s307) | (~until5(s307))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12449, 36, 12963])).
% 8.86/6.32 tff(12965,plain,
% 8.86/6.32 (~until5(s307)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12964, 12961])).
% 8.86/6.32 tff(12966,plain,
% 8.86/6.32 (~xuntil6(s306)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12438, 12965])).
% 8.86/6.32 tff(12967,plain,
% 8.86/6.32 (~always3(s306)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5241, 12962])).
% 8.86/6.32 tff(12968,plain,
% 8.86/6.32 (~node4(s306)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12425, 22, 12967])).
% 8.86/6.32 tff(12969,plain,
% 8.86/6.32 (xuntil6(s306) | (~until5(s306))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12432, 36, 12968])).
% 8.86/6.32 tff(12970,plain,
% 8.86/6.32 (~until5(s306)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12969, 12966])).
% 8.86/6.32 tff(12971,plain,
% 8.86/6.32 (~xuntil6(s305)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12421, 12970])).
% 8.86/6.32 tff(12972,plain,
% 8.86/6.32 (~always3(s305)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5253, 12967])).
% 8.86/6.32 tff(12973,plain,
% 8.86/6.32 (~node4(s305)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12408, 22, 12972])).
% 8.86/6.32 tff(12974,plain,
% 8.86/6.32 (xuntil6(s305) | (~until5(s305))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12415, 36, 12973])).
% 8.86/6.32 tff(12975,plain,
% 8.86/6.32 (~until5(s305)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12974, 12971])).
% 8.86/6.32 tff(12976,plain,
% 8.86/6.32 (~xuntil6(s304)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12404, 12975])).
% 8.86/6.32 tff(12977,plain,
% 8.86/6.32 (~always3(s304)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5265, 12972])).
% 8.86/6.32 tff(12978,plain,
% 8.86/6.32 (~node4(s304)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12391, 22, 12977])).
% 8.86/6.32 tff(12979,plain,
% 8.86/6.32 (xuntil6(s304) | (~until5(s304))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12398, 36, 12978])).
% 8.86/6.32 tff(12980,plain,
% 8.86/6.32 (~until5(s304)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12979, 12976])).
% 8.86/6.32 tff(12981,plain,
% 8.86/6.32 (~xuntil6(s303)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12387, 12980])).
% 8.86/6.32 tff(12982,plain,
% 8.86/6.32 (~always3(s303)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5277, 12977])).
% 8.86/6.32 tff(12983,plain,
% 8.86/6.32 (~node4(s303)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12374, 22, 12982])).
% 8.86/6.32 tff(12984,plain,
% 8.86/6.32 (xuntil6(s303) | (~until5(s303))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12381, 36, 12983])).
% 8.86/6.32 tff(12985,plain,
% 8.86/6.32 (~until5(s303)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12984, 12981])).
% 8.86/6.32 tff(12986,plain,
% 8.86/6.32 (~xuntil6(s302)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12370, 12985])).
% 8.86/6.32 tff(12987,plain,
% 8.86/6.32 (~always3(s302)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5289, 12982])).
% 8.86/6.32 tff(12988,plain,
% 8.86/6.32 (~node4(s302)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12357, 22, 12987])).
% 8.86/6.32 tff(12989,plain,
% 8.86/6.32 (xuntil6(s302) | (~until5(s302))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12364, 36, 12988])).
% 8.86/6.32 tff(12990,plain,
% 8.86/6.32 (~until5(s302)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12989, 12986])).
% 8.86/6.32 tff(12991,plain,
% 8.86/6.32 (~xuntil6(s301)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12353, 12990])).
% 8.86/6.32 tff(12992,plain,
% 8.86/6.32 (~always3(s301)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5301, 12987])).
% 8.86/6.32 tff(12993,plain,
% 8.86/6.32 (~node4(s301)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12340, 22, 12992])).
% 8.86/6.32 tff(12994,plain,
% 8.86/6.32 (xuntil6(s301) | (~until5(s301))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12347, 36, 12993])).
% 8.86/6.32 tff(12995,plain,
% 8.86/6.32 (~until5(s301)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12994, 12991])).
% 8.86/6.32 tff(12996,plain,
% 8.86/6.32 (~xuntil6(s300)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12336, 12995])).
% 8.86/6.32 tff(12997,plain,
% 8.86/6.32 (~always3(s300)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5313, 12992])).
% 8.86/6.32 tff(12998,plain,
% 8.86/6.32 (~node4(s300)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12323, 22, 12997])).
% 8.86/6.32 tff(12999,plain,
% 8.86/6.32 (xuntil6(s300) | (~until5(s300))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12330, 36, 12998])).
% 8.86/6.32 tff(13000,plain,
% 8.86/6.32 (~until5(s300)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12999, 12996])).
% 8.86/6.32 tff(13001,plain,
% 8.86/6.32 (~xuntil6(s299)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12319, 13000])).
% 8.86/6.32 tff(13002,plain,
% 8.86/6.32 (~always3(s299)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5325, 12997])).
% 8.86/6.32 tff(13003,plain,
% 8.86/6.32 (~node4(s299)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12306, 22, 13002])).
% 8.86/6.32 tff(13004,plain,
% 8.86/6.32 (xuntil6(s299) | (~until5(s299))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12313, 36, 13003])).
% 8.86/6.32 tff(13005,plain,
% 8.86/6.32 (~until5(s299)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13004, 13001])).
% 8.86/6.32 tff(13006,plain,
% 8.86/6.32 (~xuntil6(s298)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12302, 13005])).
% 8.86/6.32 tff(13007,plain,
% 8.86/6.32 (~always3(s298)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5337, 13002])).
% 8.86/6.32 tff(13008,plain,
% 8.86/6.32 (~node4(s298)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12289, 22, 13007])).
% 8.86/6.32 tff(13009,plain,
% 8.86/6.32 (xuntil6(s298) | (~until5(s298))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12296, 36, 13008])).
% 8.86/6.32 tff(13010,plain,
% 8.86/6.32 (~until5(s298)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13009, 13006])).
% 8.86/6.32 tff(13011,plain,
% 8.86/6.32 (~xuntil6(s297)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12285, 13010])).
% 8.86/6.32 tff(13012,plain,
% 8.86/6.32 (~always3(s297)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5349, 13007])).
% 8.86/6.32 tff(13013,plain,
% 8.86/6.32 (~node4(s297)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12272, 22, 13012])).
% 8.86/6.32 tff(13014,plain,
% 8.86/6.32 (xuntil6(s297) | (~until5(s297))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12279, 36, 13013])).
% 8.86/6.32 tff(13015,plain,
% 8.86/6.32 (~until5(s297)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13014, 13011])).
% 8.86/6.32 tff(13016,plain,
% 8.86/6.32 (~xuntil6(s296)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12268, 13015])).
% 8.86/6.32 tff(13017,plain,
% 8.86/6.32 (~always3(s296)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5361, 13012])).
% 8.86/6.32 tff(13018,plain,
% 8.86/6.32 (~node4(s296)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12255, 22, 13017])).
% 8.86/6.32 tff(13019,plain,
% 8.86/6.32 (xuntil6(s296) | (~until5(s296))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12262, 36, 13018])).
% 8.86/6.32 tff(13020,plain,
% 8.86/6.32 (~until5(s296)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13019, 13016])).
% 8.86/6.32 tff(13021,plain,
% 8.86/6.32 (~xuntil6(s295)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12251, 13020])).
% 8.86/6.32 tff(13022,plain,
% 8.86/6.32 (~always3(s295)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5373, 13017])).
% 8.86/6.32 tff(13023,plain,
% 8.86/6.32 (~node4(s295)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12238, 22, 13022])).
% 8.86/6.32 tff(13024,plain,
% 8.86/6.32 (xuntil6(s295) | (~until5(s295))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12245, 36, 13023])).
% 8.86/6.32 tff(13025,plain,
% 8.86/6.32 (~until5(s295)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13024, 13021])).
% 8.86/6.32 tff(13026,plain,
% 8.86/6.32 (~xuntil6(s294)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12234, 13025])).
% 8.86/6.32 tff(13027,plain,
% 8.86/6.32 (~always3(s294)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5385, 13022])).
% 8.86/6.32 tff(13028,plain,
% 8.86/6.32 (~always3(s293)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5397, 13027])).
% 8.86/6.32 tff(13029,plain,
% 8.86/6.32 (~always3(s292)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5409, 13028])).
% 8.86/6.32 tff(13030,plain,
% 8.86/6.32 (~always3(s291)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5421, 13029])).
% 8.86/6.32 tff(13031,plain,
% 8.86/6.32 (~always3(s290)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5433, 13030])).
% 8.86/6.32 tff(13032,plain,
% 8.86/6.32 (~always3(s289)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5445, 13031])).
% 8.86/6.32 tff(13033,plain,
% 8.86/6.32 (~always3(s288)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5457, 13032])).
% 8.86/6.32 tff(13034,plain,
% 8.86/6.32 (~always3(s287)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5469, 13033])).
% 8.86/6.32 tff(13035,plain,
% 8.86/6.32 (~always3(s286)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5481, 13034])).
% 8.86/6.32 tff(13036,plain,
% 8.86/6.32 (~always3(s285)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5493, 13035])).
% 8.86/6.32 tff(13037,plain,
% 8.86/6.32 (~always3(s284)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5505, 13036])).
% 8.86/6.32 tff(13038,plain,
% 8.86/6.32 (~always3(s283)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5517, 13037])).
% 8.86/6.32 tff(13039,plain,
% 8.86/6.32 (~always3(s282)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5529, 13038])).
% 8.86/6.32 tff(13040,plain,
% 8.86/6.32 (~always3(s281)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5541, 13039])).
% 8.86/6.32 tff(13041,plain,
% 8.86/6.32 (~always3(s280)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5553, 13040])).
% 8.86/6.32 tff(13042,plain,
% 8.86/6.32 (~always3(s279)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5565, 13041])).
% 8.86/6.32 tff(13043,plain,
% 8.86/6.32 (~always3(s278)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5577, 13042])).
% 8.86/6.32 tff(13044,plain,
% 8.86/6.32 (~always3(s277)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5589, 13043])).
% 8.86/6.32 tff(13045,plain,
% 8.86/6.32 (~always3(s276)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5601, 13044])).
% 8.86/6.32 tff(13046,plain,
% 8.86/6.32 (~always3(s275)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5613, 13045])).
% 8.86/6.32 tff(13047,plain,
% 8.86/6.32 (~always3(s274)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5625, 13046])).
% 8.86/6.32 tff(13048,plain,
% 8.86/6.32 (~always3(s273)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5637, 13047])).
% 8.86/6.32 tff(13049,plain,
% 8.86/6.32 (~always3(s272)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5649, 13048])).
% 8.86/6.32 tff(13050,plain,
% 8.86/6.32 (~always3(s271)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5661, 13049])).
% 8.86/6.32 tff(13051,plain,
% 8.86/6.32 (~always3(s270)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5673, 13050])).
% 8.86/6.32 tff(13052,plain,
% 8.86/6.32 (~always3(s269)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5685, 13051])).
% 8.86/6.32 tff(13053,plain,
% 8.86/6.32 (~always3(s268)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5697, 13052])).
% 8.86/6.32 tff(13054,plain,
% 8.86/6.32 (~always3(s267)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5709, 13053])).
% 8.86/6.32 tff(13055,plain,
% 8.86/6.32 (~always3(s266)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5721, 13054])).
% 8.86/6.32 tff(13056,plain,
% 8.86/6.32 (~always3(s265)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5733, 13055])).
% 8.86/6.32 tff(13057,plain,
% 8.86/6.32 (~always3(s264)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5745, 13056])).
% 8.86/6.32 tff(13058,plain,
% 8.86/6.32 (~always3(s263)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5757, 13057])).
% 8.86/6.32 tff(13059,plain,
% 8.86/6.32 (~always3(s262)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5769, 13058])).
% 8.86/6.32 tff(13060,plain,
% 8.86/6.32 (~node4(s262)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11677, 22, 13059])).
% 8.86/6.32 tff(13061,plain,
% 8.86/6.32 (~always3(s261)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[5781, 13059])).
% 8.86/6.32 tff(13062,plain,
% 8.86/6.32 (~node4(s261)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11660, 22, 13061])).
% 8.86/6.32 tff(13063,plain,
% 8.86/6.32 (xuntil6(s261) | node4(s261)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11667, 36, 12576])).
% 8.86/6.32 tff(13064,plain,
% 8.86/6.32 (xuntil6(s261)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13063, 13062])).
% 8.86/6.32 tff(13065,plain,
% 8.86/6.32 (until5(s262)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11673, 13064])).
% 8.86/6.32 tff(13066,plain,
% 8.86/6.32 (xuntil6(s262)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11684, 36, 13065, 13060])).
% 8.86/6.32 tff(13067,plain,
% 8.86/6.32 (until5(s263)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11690, 13066])).
% 8.86/6.32 tff(13068,plain,
% 8.86/6.32 (~node4(s263)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11694, 22, 13058])).
% 8.86/6.32 tff(13069,plain,
% 8.86/6.32 (xuntil6(s263) | (~until5(s263))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11701, 36, 13068])).
% 8.86/6.32 tff(13070,plain,
% 8.86/6.32 (xuntil6(s263)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13069, 13067])).
% 8.86/6.32 tff(13071,plain,
% 8.86/6.32 (until5(s264)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11707, 13070])).
% 8.86/6.32 tff(13072,plain,
% 8.86/6.32 (~node4(s264)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11711, 22, 13057])).
% 8.86/6.32 tff(13073,plain,
% 8.86/6.32 (xuntil6(s264) | (~until5(s264))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11718, 36, 13072])).
% 8.86/6.32 tff(13074,plain,
% 8.86/6.32 (xuntil6(s264)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13073, 13071])).
% 8.86/6.32 tff(13075,plain,
% 8.86/6.32 (until5(s265)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11724, 13074])).
% 8.86/6.32 tff(13076,plain,
% 8.86/6.32 (~node4(s265)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11728, 22, 13056])).
% 8.86/6.32 tff(13077,plain,
% 8.86/6.32 (xuntil6(s265) | (~until5(s265))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11735, 36, 13076])).
% 8.86/6.32 tff(13078,plain,
% 8.86/6.32 (xuntil6(s265)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13077, 13075])).
% 8.86/6.32 tff(13079,plain,
% 8.86/6.32 (until5(s266)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11741, 13078])).
% 8.86/6.32 tff(13080,plain,
% 8.86/6.32 (~node4(s266)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11745, 22, 13055])).
% 8.86/6.32 tff(13081,plain,
% 8.86/6.32 (xuntil6(s266) | (~until5(s266))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11752, 36, 13080])).
% 8.86/6.32 tff(13082,plain,
% 8.86/6.32 (xuntil6(s266)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13081, 13079])).
% 8.86/6.32 tff(13083,plain,
% 8.86/6.32 (until5(s267)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11758, 13082])).
% 8.86/6.32 tff(13084,plain,
% 8.86/6.32 (~node4(s267)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11762, 22, 13054])).
% 8.86/6.32 tff(13085,plain,
% 8.86/6.32 (xuntil6(s267) | (~until5(s267))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11769, 36, 13084])).
% 8.86/6.32 tff(13086,plain,
% 8.86/6.32 (xuntil6(s267)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13085, 13083])).
% 8.86/6.32 tff(13087,plain,
% 8.86/6.32 (until5(s268)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11775, 13086])).
% 8.86/6.32 tff(13088,plain,
% 8.86/6.32 (~node4(s268)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11779, 22, 13053])).
% 8.86/6.32 tff(13089,plain,
% 8.86/6.32 (xuntil6(s268) | (~until5(s268))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11786, 36, 13088])).
% 8.86/6.32 tff(13090,plain,
% 8.86/6.32 (xuntil6(s268)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13089, 13087])).
% 8.86/6.32 tff(13091,plain,
% 8.86/6.32 (until5(s269)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11792, 13090])).
% 8.86/6.32 tff(13092,plain,
% 8.86/6.32 (~node4(s269)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11796, 22, 13052])).
% 8.86/6.32 tff(13093,plain,
% 8.86/6.32 (xuntil6(s269) | (~until5(s269))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11803, 36, 13092])).
% 8.86/6.32 tff(13094,plain,
% 8.86/6.32 (xuntil6(s269)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13093, 13091])).
% 8.86/6.32 tff(13095,plain,
% 8.86/6.32 (until5(s270)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11809, 13094])).
% 8.86/6.32 tff(13096,plain,
% 8.86/6.32 (~node4(s270)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11813, 22, 13051])).
% 8.86/6.32 tff(13097,plain,
% 8.86/6.32 (xuntil6(s270) | (~until5(s270))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11820, 36, 13096])).
% 8.86/6.32 tff(13098,plain,
% 8.86/6.32 (xuntil6(s270)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13097, 13095])).
% 8.86/6.32 tff(13099,plain,
% 8.86/6.32 (until5(s271)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11826, 13098])).
% 8.86/6.32 tff(13100,plain,
% 8.86/6.32 (~node4(s271)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11830, 22, 13050])).
% 8.86/6.32 tff(13101,plain,
% 8.86/6.32 (xuntil6(s271) | (~until5(s271))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11837, 36, 13100])).
% 8.86/6.32 tff(13102,plain,
% 8.86/6.32 (xuntil6(s271)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13101, 13099])).
% 8.86/6.32 tff(13103,plain,
% 8.86/6.32 (until5(s272)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11843, 13102])).
% 8.86/6.32 tff(13104,plain,
% 8.86/6.32 (~node4(s272)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11847, 22, 13049])).
% 8.86/6.32 tff(13105,plain,
% 8.86/6.32 (xuntil6(s272) | (~until5(s272))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11854, 36, 13104])).
% 8.86/6.32 tff(13106,plain,
% 8.86/6.32 (xuntil6(s272)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13105, 13103])).
% 8.86/6.32 tff(13107,plain,
% 8.86/6.32 (until5(s273)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11860, 13106])).
% 8.86/6.32 tff(13108,plain,
% 8.86/6.32 (~node4(s273)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11864, 22, 13048])).
% 8.86/6.32 tff(13109,plain,
% 8.86/6.32 (xuntil6(s273) | (~until5(s273))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11871, 36, 13108])).
% 8.86/6.32 tff(13110,plain,
% 8.86/6.32 (xuntil6(s273)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13109, 13107])).
% 8.86/6.32 tff(13111,plain,
% 8.86/6.32 (until5(s274)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11877, 13110])).
% 8.86/6.32 tff(13112,plain,
% 8.86/6.32 (~node4(s274)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11881, 22, 13047])).
% 8.86/6.32 tff(13113,plain,
% 8.86/6.32 (xuntil6(s274) | (~until5(s274))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11888, 36, 13112])).
% 8.86/6.32 tff(13114,plain,
% 8.86/6.32 (xuntil6(s274)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13113, 13111])).
% 8.86/6.32 tff(13115,plain,
% 8.86/6.32 (until5(s275)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11894, 13114])).
% 8.86/6.32 tff(13116,plain,
% 8.86/6.32 (~node4(s275)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11898, 22, 13046])).
% 8.86/6.32 tff(13117,plain,
% 8.86/6.32 (xuntil6(s275) | (~until5(s275))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11905, 36, 13116])).
% 8.86/6.32 tff(13118,plain,
% 8.86/6.32 (xuntil6(s275)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13117, 13115])).
% 8.86/6.32 tff(13119,plain,
% 8.86/6.32 (until5(s276)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11911, 13118])).
% 8.86/6.32 tff(13120,plain,
% 8.86/6.32 (~node4(s276)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11915, 22, 13045])).
% 8.86/6.32 tff(13121,plain,
% 8.86/6.32 (xuntil6(s276) | (~until5(s276))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11922, 36, 13120])).
% 8.86/6.32 tff(13122,plain,
% 8.86/6.32 (xuntil6(s276)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13121, 13119])).
% 8.86/6.32 tff(13123,plain,
% 8.86/6.32 (until5(s277)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11928, 13122])).
% 8.86/6.32 tff(13124,plain,
% 8.86/6.32 (~node4(s277)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11932, 22, 13044])).
% 8.86/6.32 tff(13125,plain,
% 8.86/6.32 (xuntil6(s277) | (~until5(s277))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11939, 36, 13124])).
% 8.86/6.32 tff(13126,plain,
% 8.86/6.32 (xuntil6(s277)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13125, 13123])).
% 8.86/6.32 tff(13127,plain,
% 8.86/6.32 (until5(s278)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11945, 13126])).
% 8.86/6.32 tff(13128,plain,
% 8.86/6.32 (~node4(s278)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11949, 22, 13043])).
% 8.86/6.32 tff(13129,plain,
% 8.86/6.32 (xuntil6(s278) | (~until5(s278))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11956, 36, 13128])).
% 8.86/6.32 tff(13130,plain,
% 8.86/6.32 (xuntil6(s278)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13129, 13127])).
% 8.86/6.32 tff(13131,plain,
% 8.86/6.32 (until5(s279)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11962, 13130])).
% 8.86/6.32 tff(13132,plain,
% 8.86/6.32 (~node4(s279)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11966, 22, 13042])).
% 8.86/6.32 tff(13133,plain,
% 8.86/6.32 (xuntil6(s279) | (~until5(s279))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11973, 36, 13132])).
% 8.86/6.32 tff(13134,plain,
% 8.86/6.32 (xuntil6(s279)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13133, 13131])).
% 8.86/6.32 tff(13135,plain,
% 8.86/6.32 (until5(s280)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11979, 13134])).
% 8.86/6.32 tff(13136,plain,
% 8.86/6.32 (~node4(s280)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11983, 22, 13041])).
% 8.86/6.32 tff(13137,plain,
% 8.86/6.32 (xuntil6(s280) | (~until5(s280))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11990, 36, 13136])).
% 8.86/6.32 tff(13138,plain,
% 8.86/6.32 (xuntil6(s280)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13137, 13135])).
% 8.86/6.32 tff(13139,plain,
% 8.86/6.32 (until5(s281)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[11996, 13138])).
% 8.86/6.32 tff(13140,plain,
% 8.86/6.32 (~node4(s281)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12000, 22, 13040])).
% 8.86/6.32 tff(13141,plain,
% 8.86/6.32 (xuntil6(s281) | (~until5(s281))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12007, 36, 13140])).
% 8.86/6.32 tff(13142,plain,
% 8.86/6.32 (xuntil6(s281)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13141, 13139])).
% 8.86/6.32 tff(13143,plain,
% 8.86/6.32 (until5(s282)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12013, 13142])).
% 8.86/6.32 tff(13144,plain,
% 8.86/6.32 (~node4(s282)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12017, 22, 13039])).
% 8.86/6.32 tff(13145,plain,
% 8.86/6.32 (xuntil6(s282) | (~until5(s282))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12024, 36, 13144])).
% 8.86/6.32 tff(13146,plain,
% 8.86/6.32 (xuntil6(s282)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13145, 13143])).
% 8.86/6.32 tff(13147,plain,
% 8.86/6.32 (until5(s283)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12030, 13146])).
% 8.86/6.32 tff(13148,plain,
% 8.86/6.32 (~node4(s283)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12034, 22, 13038])).
% 8.86/6.32 tff(13149,plain,
% 8.86/6.32 (xuntil6(s283) | (~until5(s283))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12041, 36, 13148])).
% 8.86/6.32 tff(13150,plain,
% 8.86/6.32 (xuntil6(s283)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13149, 13147])).
% 8.86/6.32 tff(13151,plain,
% 8.86/6.32 (until5(s284)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12047, 13150])).
% 8.86/6.32 tff(13152,plain,
% 8.86/6.32 (~node4(s284)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12051, 22, 13037])).
% 8.86/6.32 tff(13153,plain,
% 8.86/6.32 (xuntil6(s284) | (~until5(s284))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12058, 36, 13152])).
% 8.86/6.32 tff(13154,plain,
% 8.86/6.32 (xuntil6(s284)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13153, 13151])).
% 8.86/6.32 tff(13155,plain,
% 8.86/6.32 (until5(s285)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12064, 13154])).
% 8.86/6.32 tff(13156,plain,
% 8.86/6.32 (~node4(s285)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12068, 22, 13036])).
% 8.86/6.32 tff(13157,plain,
% 8.86/6.32 (xuntil6(s285) | (~until5(s285))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12075, 36, 13156])).
% 8.86/6.32 tff(13158,plain,
% 8.86/6.32 (xuntil6(s285)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13157, 13155])).
% 8.86/6.32 tff(13159,plain,
% 8.86/6.32 (until5(s286)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12081, 13158])).
% 8.86/6.32 tff(13160,plain,
% 8.86/6.32 (~node4(s286)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12085, 22, 13035])).
% 8.86/6.32 tff(13161,plain,
% 8.86/6.32 (xuntil6(s286) | (~until5(s286))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12092, 36, 13160])).
% 8.86/6.32 tff(13162,plain,
% 8.86/6.32 (xuntil6(s286)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13161, 13159])).
% 8.86/6.32 tff(13163,plain,
% 8.86/6.32 (until5(s287)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12098, 13162])).
% 8.86/6.32 tff(13164,plain,
% 8.86/6.32 (~node4(s287)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12102, 22, 13034])).
% 8.86/6.32 tff(13165,plain,
% 8.86/6.32 (xuntil6(s287) | (~until5(s287))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12109, 36, 13164])).
% 8.86/6.32 tff(13166,plain,
% 8.86/6.32 (xuntil6(s287)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13165, 13163])).
% 8.86/6.32 tff(13167,plain,
% 8.86/6.32 (until5(s288)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12115, 13166])).
% 8.86/6.32 tff(13168,plain,
% 8.86/6.32 (~node4(s288)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12119, 22, 13033])).
% 8.86/6.32 tff(13169,plain,
% 8.86/6.32 (xuntil6(s288) | (~until5(s288))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12126, 36, 13168])).
% 8.86/6.32 tff(13170,plain,
% 8.86/6.32 (xuntil6(s288)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13169, 13167])).
% 8.86/6.32 tff(13171,plain,
% 8.86/6.32 (until5(s289)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12132, 13170])).
% 8.86/6.32 tff(13172,plain,
% 8.86/6.32 (~node4(s289)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12136, 22, 13032])).
% 8.86/6.32 tff(13173,plain,
% 8.86/6.32 (xuntil6(s289) | (~until5(s289))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12143, 36, 13172])).
% 8.86/6.32 tff(13174,plain,
% 8.86/6.32 (xuntil6(s289)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13173, 13171])).
% 8.86/6.32 tff(13175,plain,
% 8.86/6.32 (until5(s290)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12149, 13174])).
% 8.86/6.32 tff(13176,plain,
% 8.86/6.32 (~node4(s290)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12153, 22, 13031])).
% 8.86/6.32 tff(13177,plain,
% 8.86/6.32 (xuntil6(s290) | (~until5(s290))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12160, 36, 13176])).
% 8.86/6.32 tff(13178,plain,
% 8.86/6.32 (xuntil6(s290)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13177, 13175])).
% 8.86/6.32 tff(13179,plain,
% 8.86/6.32 (until5(s291)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12166, 13178])).
% 8.86/6.32 tff(13180,plain,
% 8.86/6.32 (~node4(s291)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12170, 22, 13030])).
% 8.86/6.32 tff(13181,plain,
% 8.86/6.32 (xuntil6(s291) | (~until5(s291))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12177, 36, 13180])).
% 8.86/6.32 tff(13182,plain,
% 8.86/6.32 (xuntil6(s291)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13181, 13179])).
% 8.86/6.32 tff(13183,plain,
% 8.86/6.32 (until5(s292)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12183, 13182])).
% 8.86/6.32 tff(13184,plain,
% 8.86/6.32 (~node4(s292)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12187, 22, 13029])).
% 8.86/6.32 tff(13185,plain,
% 8.86/6.32 (xuntil6(s292) | (~until5(s292))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12194, 36, 13184])).
% 8.86/6.32 tff(13186,plain,
% 8.86/6.32 (xuntil6(s292)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13185, 13183])).
% 8.86/6.32 tff(13187,plain,
% 8.86/6.32 (until5(s293)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12200, 13186])).
% 8.86/6.32 tff(13188,plain,
% 8.86/6.32 (~node4(s293)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12204, 22, 13028])).
% 8.86/6.32 tff(13189,plain,
% 8.86/6.32 (xuntil6(s293) | (~until5(s293))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12211, 36, 13188])).
% 8.86/6.32 tff(13190,plain,
% 8.86/6.32 (xuntil6(s293)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13189, 13187])).
% 8.86/6.32 tff(13191,plain,
% 8.86/6.32 (until5(s294)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12217, 13190])).
% 8.86/6.32 tff(13192,plain,
% 8.86/6.32 (~node4(s294)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12221, 22, 13027])).
% 8.86/6.32 tff(13193,plain,
% 8.86/6.32 (xuntil6(s294) | (~until5(s294))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12228, 36, 13192])).
% 8.86/6.32 tff(13194,plain,
% 8.86/6.32 ($false),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13193, 13191, 13026])).
% 8.86/6.32 tff(13195,plain,(always3(s327) | (~until5(s261)) | xuntil6(s327)), inference(lemma,lemma(discharge,[]))).
% 8.86/6.32 tff(13196,plain,
% 8.86/6.32 (always3(s327)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13195, 5072, 12576])).
% 8.86/6.32 tff(13197,plain,
% 8.86/6.32 (succ(s327, s328) <=> succ(s327, s328)),
% 8.86/6.32 inference(rewrite,[status(thm)],[])).
% 8.86/6.32 tff(13198,axiom,(succ(s327, s328)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound328')).
% 8.86/6.32 tff(13199,plain,
% 8.86/6.32 (succ(s327, s328)),
% 8.86/6.32 inference(modus_ponens,[status(thm)],[13198, 13197])).
% 8.86/6.32 tff(13200,plain,
% 8.86/6.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s327, s328)) | trans(s327, s328))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s327, s328)) | trans(s327, s328))),
% 8.86/6.32 inference(rewrite,[status(thm)],[])).
% 8.86/6.32 tff(13201,plain,
% 8.86/6.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s327, s328)) | trans(s327, s328))),
% 8.86/6.32 inference(quant_inst,[status(thm)],[])).
% 8.86/6.32 tff(13202,plain,
% 8.86/6.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s327, s328)) | trans(s327, s328)),
% 8.86/6.32 inference(modus_ponens,[status(thm)],[13201, 13200])).
% 8.86/6.32 tff(13203,plain,
% 8.86/6.32 (trans(s327, s328)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13202, 13199, 51])).
% 8.86/6.32 tff(13204,plain,
% 8.86/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s327, s328)) | (~always3(s327)) | always3(s328))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s327, s328)) | (~always3(s327)) | always3(s328))),
% 8.86/6.32 inference(rewrite,[status(thm)],[])).
% 8.86/6.32 tff(13205,plain,
% 8.86/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s327, s328)) | (~always3(s327)) | always3(s328))),
% 8.86/6.32 inference(quant_inst,[status(thm)],[])).
% 8.86/6.32 tff(13206,plain,
% 8.86/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s327, s328)) | (~always3(s327)) | always3(s328)),
% 8.86/6.32 inference(modus_ponens,[status(thm)],[13205, 13204])).
% 8.86/6.32 tff(13207,plain,
% 8.86/6.32 ((~always3(s327)) | always3(s328)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13206, 68, 13203])).
% 8.86/6.32 tff(13208,plain,
% 8.86/6.32 (always3(s328)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13207, 13196])).
% 8.86/6.32 tff(13209,plain,
% 8.86/6.32 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s328)) | (~m_main_v_state(s328, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s328)) | (~m_main_v_state(s328, c_busy)))),
% 8.86/6.32 inference(rewrite,[status(thm)],[])).
% 8.86/6.32 tff(13210,plain,
% 8.86/6.32 (((~m_main_v_state(s328, c_busy)) | (~always3(s328))) <=> ((~always3(s328)) | (~m_main_v_state(s328, c_busy)))),
% 8.86/6.32 inference(rewrite,[status(thm)],[])).
% 8.86/6.32 tff(13211,plain,
% 8.86/6.32 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s328, c_busy)) | (~always3(s328)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s328)) | (~m_main_v_state(s328, c_busy))))),
% 8.86/6.32 inference(monotonicity,[status(thm)],[13210])).
% 8.86/6.32 tff(13212,plain,
% 8.86/6.32 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s328, c_busy)) | (~always3(s328)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s328)) | (~m_main_v_state(s328, c_busy)))),
% 8.86/6.32 inference(transitivity,[status(thm)],[13211, 13209])).
% 8.86/6.32 tff(13213,plain,
% 8.86/6.32 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s328, c_busy)) | (~always3(s328)))),
% 8.86/6.32 inference(quant_inst,[status(thm)],[])).
% 8.86/6.32 tff(13214,plain,
% 8.86/6.32 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s328)) | (~m_main_v_state(s328, c_busy))),
% 8.86/6.32 inference(modus_ponens,[status(thm)],[13213, 13212])).
% 8.86/6.32 tff(13215,plain,
% 8.86/6.32 (~m_main_v_state(s328, c_busy)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13214, 170, 13208])).
% 8.86/6.32 tff(13216,assumption,(until5(s327)), introduced(assumption)).
% 8.86/6.32 tff(13217,plain,
% 8.86/6.32 (xuntil6(s327) | node4(s327)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12603, 36, 13216])).
% 8.86/6.32 tff(13218,plain,
% 8.86/6.32 (node4(s327)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13217, 5072])).
% 8.86/6.32 tff(13219,plain,
% 8.86/6.32 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s327) | (~node4(s327)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s327) | (~node4(s327)))),
% 8.86/6.32 inference(rewrite,[status(thm)],[])).
% 8.86/6.32 tff(13220,plain,
% 8.86/6.32 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s327) | (~node4(s327)))),
% 8.86/6.32 inference(quant_inst,[status(thm)],[])).
% 8.86/6.32 tff(13221,plain,
% 8.86/6.32 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s327) | (~node4(s327))),
% 8.86/6.32 inference(modus_ponens,[status(thm)],[13220, 13219])).
% 8.86/6.32 tff(13222,plain,
% 8.86/6.32 (m_main_v_request(s327)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13221, 154, 13218])).
% 8.86/6.32 tff(13223,plain,
% 8.86/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s327, s328)) | node2(s327, s328))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s327, s328)) | node2(s327, s328))),
% 8.86/6.32 inference(rewrite,[status(thm)],[])).
% 8.86/6.32 tff(13224,plain,
% 8.86/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s327, s328)) | node2(s327, s328))),
% 8.86/6.32 inference(quant_inst,[status(thm)],[])).
% 8.86/6.32 tff(13225,plain,
% 8.86/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s327, s328)) | node2(s327, s328)),
% 8.86/6.32 inference(modus_ponens,[status(thm)],[13224, 13223])).
% 8.86/6.32 tff(13226,plain,
% 8.86/6.32 (node2(s327, s328)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13225, 7, 13203])).
% 8.86/6.32 tff(13227,plain,
% 8.86/6.32 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s327, c_ready)) | (~node2(s327, s328)) | m_main_v_state(s328, c_busy) | (~m_main_v_request(s327)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s327, c_ready)) | (~node2(s327, s328)) | m_main_v_state(s328, c_busy) | (~m_main_v_request(s327)))),
% 8.86/6.32 inference(rewrite,[status(thm)],[])).
% 8.86/6.32 tff(13228,plain,
% 8.86/6.32 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s327, c_ready)) | (~node2(s327, s328)) | m_main_v_state(s328, c_busy) | (~m_main_v_request(s327)))),
% 8.86/6.32 inference(quant_inst,[status(thm)],[])).
% 8.86/6.32 tff(13229,plain,
% 8.86/6.32 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s327, c_ready)) | (~node2(s327, s328)) | m_main_v_state(s328, c_busy) | (~m_main_v_request(s327))),
% 8.86/6.32 inference(modus_ponens,[status(thm)],[13228, 13227])).
% 8.86/6.32 tff(13230,plain,
% 8.86/6.32 ((~m_main_v_state(s327, c_ready)) | m_main_v_state(s328, c_busy) | (~m_main_v_request(s327))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13229, 191, 13226])).
% 8.86/6.32 tff(13231,plain,
% 8.86/6.32 (~m_main_v_state(s327, c_ready)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13230, 13222, 13215])).
% 8.86/6.32 tff(13232,plain,
% 8.86/6.32 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s327)) | (~m_main_v_state(s327, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s327)) | (~m_main_v_state(s327, c_busy)))),
% 8.86/6.32 inference(rewrite,[status(thm)],[])).
% 8.86/6.32 tff(13233,plain,
% 8.86/6.32 (((~m_main_v_state(s327, c_busy)) | (~always3(s327))) <=> ((~always3(s327)) | (~m_main_v_state(s327, c_busy)))),
% 8.86/6.32 inference(rewrite,[status(thm)],[])).
% 8.86/6.32 tff(13234,plain,
% 8.86/6.32 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s327, c_busy)) | (~always3(s327)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s327)) | (~m_main_v_state(s327, c_busy))))),
% 8.86/6.32 inference(monotonicity,[status(thm)],[13233])).
% 8.86/6.32 tff(13235,plain,
% 8.86/6.32 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s327, c_busy)) | (~always3(s327)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s327)) | (~m_main_v_state(s327, c_busy)))),
% 8.86/6.32 inference(transitivity,[status(thm)],[13234, 13232])).
% 8.86/6.32 tff(13236,plain,
% 8.86/6.32 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s327, c_busy)) | (~always3(s327)))),
% 8.86/6.32 inference(quant_inst,[status(thm)],[])).
% 8.86/6.32 tff(13237,plain,
% 8.86/6.32 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s327)) | (~m_main_v_state(s327, c_busy))),
% 8.86/6.32 inference(modus_ponens,[status(thm)],[13236, 13235])).
% 8.86/6.32 tff(13238,plain,
% 8.86/6.32 (~m_main_v_state(s327, c_busy)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13237, 170, 13196])).
% 8.86/6.32 tff(13239,plain,
% 8.86/6.32 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s327, c_busy) | m_main_v_state(s327, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s327, c_busy) | m_main_v_state(s327, c_ready))),
% 8.86/6.32 inference(rewrite,[status(thm)],[])).
% 8.86/6.32 tff(13240,plain,
% 8.86/6.32 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s327, c_busy) | m_main_v_state(s327, c_ready))),
% 8.86/6.32 inference(quant_inst,[status(thm)],[])).
% 8.86/6.32 tff(13241,plain,
% 8.86/6.32 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s327, c_busy) | m_main_v_state(s327, c_ready)),
% 8.86/6.32 inference(modus_ponens,[status(thm)],[13240, 13239])).
% 8.86/6.32 tff(13242,plain,
% 8.86/6.32 ($false),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13241, 213, 13238, 13231])).
% 8.86/6.32 tff(13243,plain,(xuntil6(s327) | (~until5(s327)) | (~until5(s261))), inference(lemma,lemma(discharge,[]))).
% 8.86/6.32 tff(13244,plain,
% 8.86/6.32 (~until5(s327)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13243, 11657, 5072])).
% 8.86/6.32 tff(13245,plain,
% 8.86/6.32 (~xuntil6(s326)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12609, 13244])).
% 8.86/6.32 tff(13246,plain,
% 8.86/6.32 (always3(s327)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13195, 11657, 5072])).
% 8.86/6.32 tff(13247,plain,
% 8.86/6.32 (~m_main_v_state(s327, c_busy)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13237, 170, 13246])).
% 8.86/6.32 tff(13248,assumption,(~xuntil6(s326)), introduced(assumption)).
% 8.86/6.32 tff(13249,assumption,(until5(s325)), introduced(assumption)).
% 8.86/6.32 tff(13250,assumption,(~always3(s326)), introduced(assumption)).
% 8.86/6.32 tff(13251,plain,
% 8.86/6.32 (~always3(s325)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12633, 13250])).
% 8.86/6.32 tff(13252,plain,
% 8.86/6.32 (~node4(s325)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12637, 22, 13251])).
% 8.86/6.32 tff(13253,plain,
% 8.86/6.32 (xuntil6(s325) | node4(s325)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12644, 36, 13249])).
% 8.86/6.32 tff(13254,plain,
% 8.86/6.32 (xuntil6(s325)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13253, 13252])).
% 8.86/6.32 tff(13255,plain,
% 8.86/6.32 (until5(s326)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12624, 13254])).
% 8.86/6.32 tff(13256,plain,
% 8.86/6.32 (node4(s326) | (~until5(s326))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12616, 36, 13248])).
% 8.86/6.32 tff(13257,plain,
% 8.86/6.32 (node4(s326)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13256, 13255])).
% 8.86/6.32 tff(13258,plain,
% 8.86/6.32 ($false),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[12592, 22, 13250, 13257])).
% 8.86/6.32 tff(13259,plain,(always3(s326) | xuntil6(s326) | (~until5(s325))), inference(lemma,lemma(discharge,[]))).
% 8.86/6.32 tff(13260,plain,
% 8.86/6.32 (always3(s326)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13259, 13249, 13248])).
% 8.86/6.32 tff(13261,plain,
% 8.86/6.32 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s326)) | (~m_main_v_state(s326, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s326)) | (~m_main_v_state(s326, c_busy)))),
% 8.86/6.32 inference(rewrite,[status(thm)],[])).
% 8.86/6.32 tff(13262,plain,
% 8.86/6.32 (((~m_main_v_state(s326, c_busy)) | (~always3(s326))) <=> ((~always3(s326)) | (~m_main_v_state(s326, c_busy)))),
% 8.86/6.32 inference(rewrite,[status(thm)],[])).
% 8.86/6.32 tff(13263,plain,
% 8.86/6.32 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s326, c_busy)) | (~always3(s326)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s326)) | (~m_main_v_state(s326, c_busy))))),
% 8.86/6.32 inference(monotonicity,[status(thm)],[13262])).
% 8.86/6.32 tff(13264,plain,
% 8.86/6.32 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s326, c_busy)) | (~always3(s326)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s326)) | (~m_main_v_state(s326, c_busy)))),
% 8.86/6.32 inference(transitivity,[status(thm)],[13263, 13261])).
% 8.86/6.32 tff(13265,plain,
% 8.86/6.32 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s326, c_busy)) | (~always3(s326)))),
% 8.86/6.32 inference(quant_inst,[status(thm)],[])).
% 8.86/6.32 tff(13266,plain,
% 8.86/6.32 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s326)) | (~m_main_v_state(s326, c_busy))),
% 8.86/6.32 inference(modus_ponens,[status(thm)],[13265, 13264])).
% 8.86/6.32 tff(13267,plain,
% 8.86/6.32 (~m_main_v_state(s326, c_busy)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13266, 170, 13260])).
% 8.86/6.32 tff(13268,assumption,(~m_main_v_state(s327, c_busy)), introduced(assumption)).
% 8.86/6.32 tff(13269,plain,
% 8.86/6.32 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s326, c_busy) | m_main_v_state(s326, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s326, c_busy) | m_main_v_state(s326, c_ready))),
% 8.86/6.32 inference(rewrite,[status(thm)],[])).
% 8.86/6.32 tff(13270,plain,
% 8.86/6.32 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s326, c_busy) | m_main_v_state(s326, c_ready))),
% 8.86/6.32 inference(quant_inst,[status(thm)],[])).
% 8.86/6.32 tff(13271,plain,
% 8.86/6.32 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s326, c_busy) | m_main_v_state(s326, c_ready)),
% 8.86/6.32 inference(modus_ponens,[status(thm)],[13270, 13269])).
% 8.86/6.32 tff(13272,plain,
% 8.86/6.32 (m_main_v_state(s326, c_ready)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13271, 213, 13267])).
% 8.86/6.32 tff(13273,plain,
% 8.86/6.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s326, s327)) | node2(s326, s327))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s326, s327)) | node2(s326, s327))),
% 8.86/6.32 inference(rewrite,[status(thm)],[])).
% 8.86/6.32 tff(13274,plain,
% 8.86/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s326, s327)) | node2(s326, s327))),
% 8.86/6.32 inference(quant_inst,[status(thm)],[])).
% 8.86/6.32 tff(13275,plain,
% 8.86/6.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s326, s327)) | node2(s326, s327)),
% 8.86/6.32 inference(modus_ponens,[status(thm)],[13274, 13273])).
% 8.86/6.32 tff(13276,plain,
% 8.86/6.32 (node2(s326, s327)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13275, 7, 12584])).
% 8.86/6.32 tff(13277,plain,
% 8.86/6.32 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s326, c_ready)) | (~node2(s326, s327)) | m_main_v_state(s327, c_busy) | (~m_main_v_request(s326)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s326, c_ready)) | (~node2(s326, s327)) | m_main_v_state(s327, c_busy) | (~m_main_v_request(s326)))),
% 8.86/6.32 inference(rewrite,[status(thm)],[])).
% 8.86/6.32 tff(13278,plain,
% 8.86/6.32 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s326, c_ready)) | (~node2(s326, s327)) | m_main_v_state(s327, c_busy) | (~m_main_v_request(s326)))),
% 8.86/6.32 inference(quant_inst,[status(thm)],[])).
% 8.86/6.32 tff(13279,plain,
% 8.86/6.32 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s326, c_ready)) | (~node2(s326, s327)) | m_main_v_state(s327, c_busy) | (~m_main_v_request(s326))),
% 8.86/6.32 inference(modus_ponens,[status(thm)],[13278, 13277])).
% 8.86/6.32 tff(13280,plain,
% 8.86/6.32 ((~m_main_v_state(s326, c_ready)) | m_main_v_state(s327, c_busy) | (~m_main_v_request(s326))),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13279, 191, 13276])).
% 8.86/6.32 tff(13281,plain,
% 8.86/6.32 (~m_main_v_request(s326)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13280, 13272, 13268])).
% 8.86/6.32 tff(13282,plain,
% 8.86/6.32 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s326) | (~node4(s326)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s326) | (~node4(s326)))),
% 8.86/6.32 inference(rewrite,[status(thm)],[])).
% 8.86/6.32 tff(13283,plain,
% 8.86/6.32 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s326) | (~node4(s326)))),
% 8.86/6.32 inference(quant_inst,[status(thm)],[])).
% 8.86/6.32 tff(13284,plain,
% 8.86/6.32 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s326) | (~node4(s326))),
% 8.86/6.32 inference(modus_ponens,[status(thm)],[13283, 13282])).
% 8.86/6.32 tff(13285,plain,
% 8.86/6.32 (~node4(s326)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13284, 154, 13281])).
% 8.86/6.32 tff(13286,plain,
% 8.86/6.32 (~until5(s326)),
% 8.86/6.32 inference(unit_resolution,[status(thm)],[13256, 13285])).
% 8.86/6.33 tff(13287,plain,
% 8.86/6.33 (~xuntil6(s325)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12624, 13286])).
% 8.86/6.33 tff(13288,plain,
% 8.86/6.33 (node4(s325)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13253, 13287])).
% 8.86/6.33 tff(13289,plain,
% 8.86/6.33 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s325) | (~node4(s325)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s325) | (~node4(s325)))),
% 8.86/6.33 inference(rewrite,[status(thm)],[])).
% 8.86/6.33 tff(13290,plain,
% 8.86/6.33 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s325) | (~node4(s325)))),
% 8.86/6.33 inference(quant_inst,[status(thm)],[])).
% 8.86/6.33 tff(13291,plain,
% 8.86/6.33 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s325) | (~node4(s325))),
% 8.86/6.33 inference(modus_ponens,[status(thm)],[13290, 13289])).
% 8.86/6.33 tff(13292,plain,
% 8.86/6.33 (m_main_v_request(s325)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13291, 154, 13288])).
% 8.86/6.33 tff(13293,plain,
% 8.86/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s325, s326)) | node2(s325, s326))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s325, s326)) | node2(s325, s326))),
% 8.86/6.33 inference(rewrite,[status(thm)],[])).
% 8.86/6.33 tff(13294,plain,
% 8.86/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s325, s326)) | node2(s325, s326))),
% 8.86/6.33 inference(quant_inst,[status(thm)],[])).
% 8.86/6.33 tff(13295,plain,
% 8.86/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s325, s326)) | node2(s325, s326)),
% 8.86/6.33 inference(modus_ponens,[status(thm)],[13294, 13293])).
% 8.86/6.33 tff(13296,plain,
% 8.86/6.33 (node2(s325, s326)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13295, 7, 12629])).
% 8.86/6.33 tff(13297,plain,
% 8.86/6.33 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s325, c_ready)) | (~node2(s325, s326)) | m_main_v_state(s326, c_busy) | (~m_main_v_request(s325)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s325, c_ready)) | (~node2(s325, s326)) | m_main_v_state(s326, c_busy) | (~m_main_v_request(s325)))),
% 8.86/6.33 inference(rewrite,[status(thm)],[])).
% 8.86/6.33 tff(13298,plain,
% 8.86/6.33 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s325, c_ready)) | (~node2(s325, s326)) | m_main_v_state(s326, c_busy) | (~m_main_v_request(s325)))),
% 8.86/6.33 inference(quant_inst,[status(thm)],[])).
% 8.86/6.33 tff(13299,plain,
% 8.86/6.33 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s325, c_ready)) | (~node2(s325, s326)) | m_main_v_state(s326, c_busy) | (~m_main_v_request(s325))),
% 8.86/6.33 inference(modus_ponens,[status(thm)],[13298, 13297])).
% 8.86/6.33 tff(13300,plain,
% 8.86/6.33 ((~m_main_v_state(s325, c_ready)) | m_main_v_state(s326, c_busy) | (~m_main_v_request(s325))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13299, 191, 13296])).
% 8.86/6.33 tff(13301,plain,
% 8.86/6.33 (~m_main_v_state(s325, c_ready)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13300, 13292, 13267])).
% 8.86/6.33 tff(13302,plain,
% 8.86/6.33 (always3(s325)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12637, 22, 13288])).
% 8.86/6.33 tff(13303,plain,
% 8.86/6.33 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s325)) | (~m_main_v_state(s325, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s325)) | (~m_main_v_state(s325, c_busy)))),
% 8.86/6.33 inference(rewrite,[status(thm)],[])).
% 8.86/6.33 tff(13304,plain,
% 8.86/6.33 (((~m_main_v_state(s325, c_busy)) | (~always3(s325))) <=> ((~always3(s325)) | (~m_main_v_state(s325, c_busy)))),
% 8.86/6.33 inference(rewrite,[status(thm)],[])).
% 8.86/6.33 tff(13305,plain,
% 8.86/6.33 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s325, c_busy)) | (~always3(s325)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s325)) | (~m_main_v_state(s325, c_busy))))),
% 8.86/6.33 inference(monotonicity,[status(thm)],[13304])).
% 8.86/6.33 tff(13306,plain,
% 8.86/6.33 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s325, c_busy)) | (~always3(s325)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s325)) | (~m_main_v_state(s325, c_busy)))),
% 8.86/6.33 inference(transitivity,[status(thm)],[13305, 13303])).
% 8.86/6.33 tff(13307,plain,
% 8.86/6.33 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s325, c_busy)) | (~always3(s325)))),
% 8.86/6.33 inference(quant_inst,[status(thm)],[])).
% 8.86/6.33 tff(13308,plain,
% 8.86/6.33 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s325)) | (~m_main_v_state(s325, c_busy))),
% 8.86/6.33 inference(modus_ponens,[status(thm)],[13307, 13306])).
% 8.86/6.33 tff(13309,plain,
% 8.86/6.33 (~m_main_v_state(s325, c_busy)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13308, 170, 13302])).
% 8.86/6.33 tff(13310,plain,
% 8.86/6.33 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s325, c_busy) | m_main_v_state(s325, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s325, c_busy) | m_main_v_state(s325, c_ready))),
% 8.86/6.33 inference(rewrite,[status(thm)],[])).
% 8.86/6.33 tff(13311,plain,
% 8.86/6.33 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s325, c_busy) | m_main_v_state(s325, c_ready))),
% 8.86/6.33 inference(quant_inst,[status(thm)],[])).
% 8.86/6.33 tff(13312,plain,
% 8.86/6.33 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s325, c_busy) | m_main_v_state(s325, c_ready)),
% 8.86/6.33 inference(modus_ponens,[status(thm)],[13311, 13310])).
% 8.86/6.33 tff(13313,plain,
% 8.86/6.33 ($false),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13312, 213, 13309, 13301])).
% 8.86/6.33 tff(13314,plain,((~until5(s325)) | xuntil6(s326) | m_main_v_state(s327, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.86/6.33 tff(13315,plain,
% 8.86/6.33 (~until5(s325)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13314, 13247, 13245])).
% 8.86/6.33 tff(13316,plain,
% 8.86/6.33 (~xuntil6(s324)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12653, 13315])).
% 8.86/6.33 tff(13317,assumption,(~always3(s324)), introduced(assumption)).
% 8.86/6.33 tff(13318,plain,
% 8.86/6.33 (~always3(s323)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12691, 13317])).
% 8.86/6.33 tff(13319,plain,
% 8.86/6.33 (~node4(s323)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12695, 22, 13318])).
% 8.86/6.33 tff(13320,plain,
% 8.86/6.33 (~node4(s324)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12666, 22, 13317])).
% 8.86/6.33 tff(13321,assumption,(~xuntil6(s324)), introduced(assumption)).
% 8.86/6.33 tff(13322,plain,
% 8.86/6.33 (node4(s324) | (~until5(s324))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12673, 36, 13321])).
% 8.86/6.33 tff(13323,plain,
% 8.86/6.33 (~until5(s324)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13322, 13320])).
% 8.86/6.33 tff(13324,plain,
% 8.86/6.33 (~xuntil6(s323)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12682, 13323])).
% 8.86/6.33 tff(13325,plain,
% 8.86/6.33 (~until5(s323)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12702, 36, 13324, 13319])).
% 8.86/6.33 tff(13326,plain,
% 8.86/6.33 (~xuntil6(s322)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12711, 13325])).
% 8.86/6.33 tff(13327,plain,
% 8.86/6.33 (~always3(s322)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12720, 13318])).
% 8.86/6.33 tff(13328,plain,
% 8.86/6.33 (~node4(s322)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12724, 22, 13327])).
% 8.86/6.33 tff(13329,plain,
% 8.86/6.33 (xuntil6(s322) | (~until5(s322))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12731, 36, 13328])).
% 8.86/6.33 tff(13330,plain,
% 8.86/6.33 (~until5(s322)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13329, 13326])).
% 8.86/6.33 tff(13331,plain,
% 8.86/6.33 (~xuntil6(s321)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12740, 13330])).
% 8.86/6.33 tff(13332,plain,
% 8.86/6.33 (~always3(s321)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12749, 13327])).
% 8.86/6.33 tff(13333,plain,
% 8.86/6.33 (~node4(s321)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12753, 22, 13332])).
% 8.86/6.33 tff(13334,plain,
% 8.86/6.33 (xuntil6(s321) | (~until5(s321))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12760, 36, 13333])).
% 8.86/6.33 tff(13335,plain,
% 8.86/6.33 (~until5(s321)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13334, 13331])).
% 8.86/6.33 tff(13336,plain,
% 8.86/6.33 (~xuntil6(s320)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12769, 13335])).
% 8.86/6.33 tff(13337,plain,
% 8.86/6.33 (~always3(s320)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12778, 13332])).
% 8.86/6.33 tff(13338,plain,
% 8.86/6.33 (~node4(s320)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12782, 22, 13337])).
% 8.86/6.33 tff(13339,plain,
% 8.86/6.33 (xuntil6(s320) | (~until5(s320))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12789, 36, 13338])).
% 8.86/6.33 tff(13340,plain,
% 8.86/6.33 (~until5(s320)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13339, 13336])).
% 8.86/6.33 tff(13341,plain,
% 8.86/6.33 (~xuntil6(s319)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12798, 13340])).
% 8.86/6.33 tff(13342,plain,
% 8.86/6.33 (~always3(s319)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12807, 13337])).
% 8.86/6.33 tff(13343,plain,
% 8.86/6.33 (~node4(s319)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12811, 22, 13342])).
% 8.86/6.33 tff(13344,plain,
% 8.86/6.33 (xuntil6(s319) | (~until5(s319))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12818, 36, 13343])).
% 8.86/6.33 tff(13345,plain,
% 8.86/6.33 (~until5(s319)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13344, 13341])).
% 8.86/6.33 tff(13346,plain,
% 8.86/6.33 (~xuntil6(s318)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12827, 13345])).
% 8.86/6.33 tff(13347,plain,
% 8.86/6.33 (~always3(s318)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12836, 13342])).
% 8.86/6.33 tff(13348,plain,
% 8.86/6.33 (~node4(s318)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12840, 22, 13347])).
% 8.86/6.33 tff(13349,plain,
% 8.86/6.33 (xuntil6(s318) | (~until5(s318))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12847, 36, 13348])).
% 8.86/6.33 tff(13350,plain,
% 8.86/6.33 (~until5(s318)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13349, 13346])).
% 8.86/6.33 tff(13351,plain,
% 8.86/6.33 (~xuntil6(s317)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12856, 13350])).
% 8.86/6.33 tff(13352,plain,
% 8.86/6.33 (~always3(s317)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12865, 13347])).
% 8.86/6.33 tff(13353,plain,
% 8.86/6.33 (~node4(s317)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12869, 22, 13352])).
% 8.86/6.33 tff(13354,plain,
% 8.86/6.33 (xuntil6(s317) | (~until5(s317))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12876, 36, 13353])).
% 8.86/6.33 tff(13355,plain,
% 8.86/6.33 (~until5(s317)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13354, 13351])).
% 8.86/6.33 tff(13356,plain,
% 8.86/6.33 (~xuntil6(s316)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12885, 13355])).
% 8.86/6.33 tff(13357,plain,
% 8.86/6.33 (~always3(s316)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12894, 13352])).
% 8.86/6.33 tff(13358,plain,
% 8.86/6.33 (~node4(s316)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12898, 22, 13357])).
% 8.86/6.33 tff(13359,plain,
% 8.86/6.33 (xuntil6(s316) | (~until5(s316))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12905, 36, 13358])).
% 8.86/6.33 tff(13360,plain,
% 8.86/6.33 (~until5(s316)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13359, 13356])).
% 8.86/6.33 tff(13361,plain,
% 8.86/6.33 (~xuntil6(s315)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12911, 13360])).
% 8.86/6.33 tff(13362,plain,
% 8.86/6.33 (~always3(s315)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5133, 13357])).
% 8.86/6.33 tff(13363,plain,
% 8.86/6.33 (~node4(s315)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12916, 22, 13362])).
% 8.86/6.33 tff(13364,plain,
% 8.86/6.33 (xuntil6(s315) | (~until5(s315))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12923, 36, 13363])).
% 8.86/6.33 tff(13365,plain,
% 8.86/6.33 (~until5(s315)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13364, 13361])).
% 8.86/6.33 tff(13366,plain,
% 8.86/6.33 (~xuntil6(s314)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12574, 13365])).
% 8.86/6.33 tff(13367,plain,
% 8.86/6.33 (~always3(s314)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5145, 13362])).
% 8.86/6.33 tff(13368,plain,
% 8.86/6.33 (~node4(s314)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12561, 22, 13367])).
% 8.86/6.33 tff(13369,plain,
% 8.86/6.33 (xuntil6(s314) | (~until5(s314))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12568, 36, 13368])).
% 8.86/6.33 tff(13370,plain,
% 8.86/6.33 (~until5(s314)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13369, 13366])).
% 8.86/6.33 tff(13371,plain,
% 8.86/6.33 (~xuntil6(s313)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12557, 13370])).
% 8.86/6.33 tff(13372,plain,
% 8.86/6.33 (~always3(s313)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5157, 13367])).
% 8.86/6.33 tff(13373,plain,
% 8.86/6.33 (~node4(s313)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12544, 22, 13372])).
% 8.86/6.33 tff(13374,plain,
% 8.86/6.33 (xuntil6(s313) | (~until5(s313))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12551, 36, 13373])).
% 8.86/6.33 tff(13375,plain,
% 8.86/6.33 (~until5(s313)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13374, 13371])).
% 8.86/6.33 tff(13376,plain,
% 8.86/6.33 (~xuntil6(s312)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12540, 13375])).
% 8.86/6.33 tff(13377,plain,
% 8.86/6.33 (~always3(s312)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5169, 13372])).
% 8.86/6.33 tff(13378,plain,
% 8.86/6.33 (~node4(s312)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12527, 22, 13377])).
% 8.86/6.33 tff(13379,plain,
% 8.86/6.33 (xuntil6(s312) | (~until5(s312))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12534, 36, 13378])).
% 8.86/6.33 tff(13380,plain,
% 8.86/6.33 (~until5(s312)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13379, 13376])).
% 8.86/6.33 tff(13381,plain,
% 8.86/6.33 (~xuntil6(s311)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12523, 13380])).
% 8.86/6.33 tff(13382,plain,
% 8.86/6.33 (~always3(s311)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5181, 13377])).
% 8.86/6.33 tff(13383,plain,
% 8.86/6.33 (~node4(s311)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12510, 22, 13382])).
% 8.86/6.33 tff(13384,plain,
% 8.86/6.33 (xuntil6(s311) | (~until5(s311))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12517, 36, 13383])).
% 8.86/6.33 tff(13385,plain,
% 8.86/6.33 (~until5(s311)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13384, 13381])).
% 8.86/6.33 tff(13386,plain,
% 8.86/6.33 (~xuntil6(s310)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12506, 13385])).
% 8.86/6.33 tff(13387,plain,
% 8.86/6.33 (~always3(s310)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5193, 13382])).
% 8.86/6.33 tff(13388,plain,
% 8.86/6.33 (~node4(s310)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12493, 22, 13387])).
% 8.86/6.33 tff(13389,plain,
% 8.86/6.33 (xuntil6(s310) | (~until5(s310))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12500, 36, 13388])).
% 8.86/6.33 tff(13390,plain,
% 8.86/6.33 (~until5(s310)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13389, 13386])).
% 8.86/6.33 tff(13391,plain,
% 8.86/6.33 (~xuntil6(s309)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12489, 13390])).
% 8.86/6.33 tff(13392,plain,
% 8.86/6.33 (~always3(s309)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5205, 13387])).
% 8.86/6.33 tff(13393,plain,
% 8.86/6.33 (~node4(s309)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12476, 22, 13392])).
% 8.86/6.33 tff(13394,plain,
% 8.86/6.33 (xuntil6(s309) | (~until5(s309))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12483, 36, 13393])).
% 8.86/6.33 tff(13395,plain,
% 8.86/6.33 (~until5(s309)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13394, 13391])).
% 8.86/6.33 tff(13396,plain,
% 8.86/6.33 (~xuntil6(s308)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12472, 13395])).
% 8.86/6.33 tff(13397,plain,
% 8.86/6.33 (~always3(s308)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5217, 13392])).
% 8.86/6.33 tff(13398,plain,
% 8.86/6.33 (~node4(s308)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12459, 22, 13397])).
% 8.86/6.33 tff(13399,plain,
% 8.86/6.33 (xuntil6(s308) | (~until5(s308))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12466, 36, 13398])).
% 8.86/6.33 tff(13400,plain,
% 8.86/6.33 (~until5(s308)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13399, 13396])).
% 8.86/6.33 tff(13401,plain,
% 8.86/6.33 (~xuntil6(s307)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12455, 13400])).
% 8.86/6.33 tff(13402,plain,
% 8.86/6.33 (~always3(s307)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5229, 13397])).
% 8.86/6.33 tff(13403,plain,
% 8.86/6.33 (~node4(s307)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12442, 22, 13402])).
% 8.86/6.33 tff(13404,plain,
% 8.86/6.33 (xuntil6(s307) | (~until5(s307))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12449, 36, 13403])).
% 8.86/6.33 tff(13405,plain,
% 8.86/6.33 (~until5(s307)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13404, 13401])).
% 8.86/6.33 tff(13406,plain,
% 8.86/6.33 (~xuntil6(s306)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12438, 13405])).
% 8.86/6.33 tff(13407,plain,
% 8.86/6.33 (~always3(s306)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5241, 13402])).
% 8.86/6.33 tff(13408,plain,
% 8.86/6.33 (~node4(s306)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12425, 22, 13407])).
% 8.86/6.33 tff(13409,plain,
% 8.86/6.33 (xuntil6(s306) | (~until5(s306))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12432, 36, 13408])).
% 8.86/6.33 tff(13410,plain,
% 8.86/6.33 (~until5(s306)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13409, 13406])).
% 8.86/6.33 tff(13411,plain,
% 8.86/6.33 (~xuntil6(s305)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12421, 13410])).
% 8.86/6.33 tff(13412,plain,
% 8.86/6.33 (~always3(s305)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5253, 13407])).
% 8.86/6.33 tff(13413,plain,
% 8.86/6.33 (~node4(s305)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12408, 22, 13412])).
% 8.86/6.33 tff(13414,plain,
% 8.86/6.33 (xuntil6(s305) | (~until5(s305))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12415, 36, 13413])).
% 8.86/6.33 tff(13415,plain,
% 8.86/6.33 (~until5(s305)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13414, 13411])).
% 8.86/6.33 tff(13416,plain,
% 8.86/6.33 (~xuntil6(s304)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12404, 13415])).
% 8.86/6.33 tff(13417,plain,
% 8.86/6.33 (~always3(s304)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5265, 13412])).
% 8.86/6.33 tff(13418,plain,
% 8.86/6.33 (~node4(s304)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12391, 22, 13417])).
% 8.86/6.33 tff(13419,plain,
% 8.86/6.33 (xuntil6(s304) | (~until5(s304))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12398, 36, 13418])).
% 8.86/6.33 tff(13420,plain,
% 8.86/6.33 (~until5(s304)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13419, 13416])).
% 8.86/6.33 tff(13421,plain,
% 8.86/6.33 (~xuntil6(s303)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12387, 13420])).
% 8.86/6.33 tff(13422,plain,
% 8.86/6.33 (~always3(s303)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5277, 13417])).
% 8.86/6.33 tff(13423,plain,
% 8.86/6.33 (~node4(s303)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12374, 22, 13422])).
% 8.86/6.33 tff(13424,plain,
% 8.86/6.33 (xuntil6(s303) | (~until5(s303))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12381, 36, 13423])).
% 8.86/6.33 tff(13425,plain,
% 8.86/6.33 (~until5(s303)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13424, 13421])).
% 8.86/6.33 tff(13426,plain,
% 8.86/6.33 (~xuntil6(s302)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12370, 13425])).
% 8.86/6.33 tff(13427,plain,
% 8.86/6.33 (~always3(s302)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5289, 13422])).
% 8.86/6.33 tff(13428,plain,
% 8.86/6.33 (~node4(s302)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12357, 22, 13427])).
% 8.86/6.33 tff(13429,plain,
% 8.86/6.33 (xuntil6(s302) | (~until5(s302))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12364, 36, 13428])).
% 8.86/6.33 tff(13430,plain,
% 8.86/6.33 (~until5(s302)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13429, 13426])).
% 8.86/6.33 tff(13431,plain,
% 8.86/6.33 (~xuntil6(s301)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12353, 13430])).
% 8.86/6.33 tff(13432,plain,
% 8.86/6.33 (~always3(s301)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5301, 13427])).
% 8.86/6.33 tff(13433,plain,
% 8.86/6.33 (~node4(s301)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12340, 22, 13432])).
% 8.86/6.33 tff(13434,plain,
% 8.86/6.33 (xuntil6(s301) | (~until5(s301))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12347, 36, 13433])).
% 8.86/6.33 tff(13435,plain,
% 8.86/6.33 (~until5(s301)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13434, 13431])).
% 8.86/6.33 tff(13436,plain,
% 8.86/6.33 (~xuntil6(s300)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12336, 13435])).
% 8.86/6.33 tff(13437,plain,
% 8.86/6.33 (~always3(s300)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5313, 13432])).
% 8.86/6.33 tff(13438,plain,
% 8.86/6.33 (~node4(s300)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12323, 22, 13437])).
% 8.86/6.33 tff(13439,plain,
% 8.86/6.33 (xuntil6(s300) | (~until5(s300))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12330, 36, 13438])).
% 8.86/6.33 tff(13440,plain,
% 8.86/6.33 (~until5(s300)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13439, 13436])).
% 8.86/6.33 tff(13441,plain,
% 8.86/6.33 (~xuntil6(s299)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12319, 13440])).
% 8.86/6.33 tff(13442,plain,
% 8.86/6.33 (~always3(s299)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5325, 13437])).
% 8.86/6.33 tff(13443,plain,
% 8.86/6.33 (~node4(s299)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12306, 22, 13442])).
% 8.86/6.33 tff(13444,plain,
% 8.86/6.33 (xuntil6(s299) | (~until5(s299))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12313, 36, 13443])).
% 8.86/6.33 tff(13445,plain,
% 8.86/6.33 (~until5(s299)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13444, 13441])).
% 8.86/6.33 tff(13446,plain,
% 8.86/6.33 (~xuntil6(s298)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12302, 13445])).
% 8.86/6.33 tff(13447,plain,
% 8.86/6.33 (~always3(s298)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5337, 13442])).
% 8.86/6.33 tff(13448,plain,
% 8.86/6.33 (~node4(s298)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12289, 22, 13447])).
% 8.86/6.33 tff(13449,plain,
% 8.86/6.33 (xuntil6(s298) | (~until5(s298))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12296, 36, 13448])).
% 8.86/6.33 tff(13450,plain,
% 8.86/6.33 (~until5(s298)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13449, 13446])).
% 8.86/6.33 tff(13451,plain,
% 8.86/6.33 (~xuntil6(s297)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12285, 13450])).
% 8.86/6.33 tff(13452,plain,
% 8.86/6.33 (~always3(s297)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5349, 13447])).
% 8.86/6.33 tff(13453,plain,
% 8.86/6.33 (~node4(s297)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12272, 22, 13452])).
% 8.86/6.33 tff(13454,plain,
% 8.86/6.33 (xuntil6(s297) | (~until5(s297))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12279, 36, 13453])).
% 8.86/6.33 tff(13455,plain,
% 8.86/6.33 (~until5(s297)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13454, 13451])).
% 8.86/6.33 tff(13456,plain,
% 8.86/6.33 (~xuntil6(s296)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12268, 13455])).
% 8.86/6.33 tff(13457,plain,
% 8.86/6.33 (~always3(s296)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5361, 13452])).
% 8.86/6.33 tff(13458,plain,
% 8.86/6.33 (~node4(s296)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12255, 22, 13457])).
% 8.86/6.33 tff(13459,plain,
% 8.86/6.33 (xuntil6(s296) | (~until5(s296))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12262, 36, 13458])).
% 8.86/6.33 tff(13460,plain,
% 8.86/6.33 (~until5(s296)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13459, 13456])).
% 8.86/6.33 tff(13461,plain,
% 8.86/6.33 (~xuntil6(s295)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12251, 13460])).
% 8.86/6.33 tff(13462,plain,
% 8.86/6.33 (~always3(s295)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5373, 13457])).
% 8.86/6.33 tff(13463,plain,
% 8.86/6.33 (~node4(s295)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12238, 22, 13462])).
% 8.86/6.33 tff(13464,plain,
% 8.86/6.33 (xuntil6(s295) | (~until5(s295))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12245, 36, 13463])).
% 8.86/6.33 tff(13465,plain,
% 8.86/6.33 (~until5(s295)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13464, 13461])).
% 8.86/6.33 tff(13466,plain,
% 8.86/6.33 (~xuntil6(s294)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12234, 13465])).
% 8.86/6.33 tff(13467,plain,
% 8.86/6.33 (~always3(s294)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5385, 13462])).
% 8.86/6.33 tff(13468,plain,
% 8.86/6.33 (~node4(s294)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12221, 22, 13467])).
% 8.86/6.33 tff(13469,plain,
% 8.86/6.33 (xuntil6(s294) | (~until5(s294))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12228, 36, 13468])).
% 8.86/6.33 tff(13470,plain,
% 8.86/6.33 (~until5(s294)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13469, 13466])).
% 8.86/6.33 tff(13471,plain,
% 8.86/6.33 (~xuntil6(s293)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12217, 13470])).
% 8.86/6.33 tff(13472,plain,
% 8.86/6.33 (~always3(s293)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5397, 13467])).
% 8.86/6.33 tff(13473,plain,
% 8.86/6.33 (~node4(s293)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12204, 22, 13472])).
% 8.86/6.33 tff(13474,plain,
% 8.86/6.33 (xuntil6(s293) | (~until5(s293))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12211, 36, 13473])).
% 8.86/6.33 tff(13475,plain,
% 8.86/6.33 (~until5(s293)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13474, 13471])).
% 8.86/6.33 tff(13476,plain,
% 8.86/6.33 (~always3(s292)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5409, 13472])).
% 8.86/6.33 tff(13477,plain,
% 8.86/6.33 (~always3(s291)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5421, 13476])).
% 8.86/6.33 tff(13478,plain,
% 8.86/6.33 (~always3(s290)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5433, 13477])).
% 8.86/6.33 tff(13479,plain,
% 8.86/6.33 (~always3(s289)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5445, 13478])).
% 8.86/6.33 tff(13480,plain,
% 8.86/6.33 (~always3(s288)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5457, 13479])).
% 8.86/6.33 tff(13481,plain,
% 8.86/6.33 (~always3(s287)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5469, 13480])).
% 8.86/6.33 tff(13482,plain,
% 8.86/6.33 (~always3(s286)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5481, 13481])).
% 8.86/6.33 tff(13483,plain,
% 8.86/6.33 (~always3(s285)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5493, 13482])).
% 8.86/6.33 tff(13484,plain,
% 8.86/6.33 (~always3(s284)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5505, 13483])).
% 8.86/6.33 tff(13485,plain,
% 8.86/6.33 (~always3(s283)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5517, 13484])).
% 8.86/6.33 tff(13486,plain,
% 8.86/6.33 (~always3(s282)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5529, 13485])).
% 8.86/6.33 tff(13487,plain,
% 8.86/6.33 (~always3(s281)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5541, 13486])).
% 8.86/6.33 tff(13488,plain,
% 8.86/6.33 (~always3(s280)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5553, 13487])).
% 8.86/6.33 tff(13489,plain,
% 8.86/6.33 (~always3(s279)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5565, 13488])).
% 8.86/6.33 tff(13490,plain,
% 8.86/6.33 (~always3(s278)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5577, 13489])).
% 8.86/6.33 tff(13491,plain,
% 8.86/6.33 (~always3(s277)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5589, 13490])).
% 8.86/6.33 tff(13492,plain,
% 8.86/6.33 (~always3(s276)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5601, 13491])).
% 8.86/6.33 tff(13493,plain,
% 8.86/6.33 (~always3(s275)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5613, 13492])).
% 8.86/6.33 tff(13494,plain,
% 8.86/6.33 (~always3(s274)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5625, 13493])).
% 8.86/6.33 tff(13495,plain,
% 8.86/6.33 (~always3(s273)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5637, 13494])).
% 8.86/6.33 tff(13496,plain,
% 8.86/6.33 (~always3(s272)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5649, 13495])).
% 8.86/6.33 tff(13497,plain,
% 8.86/6.33 (~always3(s271)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5661, 13496])).
% 8.86/6.33 tff(13498,plain,
% 8.86/6.33 (~always3(s270)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5673, 13497])).
% 8.86/6.33 tff(13499,plain,
% 8.86/6.33 (~always3(s269)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5685, 13498])).
% 8.86/6.33 tff(13500,plain,
% 8.86/6.33 (~always3(s268)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5697, 13499])).
% 8.86/6.33 tff(13501,plain,
% 8.86/6.33 (~always3(s267)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5709, 13500])).
% 8.86/6.33 tff(13502,plain,
% 8.86/6.33 (~always3(s266)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5721, 13501])).
% 8.86/6.33 tff(13503,plain,
% 8.86/6.33 (~always3(s265)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5733, 13502])).
% 8.86/6.33 tff(13504,plain,
% 8.86/6.33 (~always3(s264)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5745, 13503])).
% 8.86/6.33 tff(13505,plain,
% 8.86/6.33 (~always3(s263)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5757, 13504])).
% 8.86/6.33 tff(13506,plain,
% 8.86/6.33 (~always3(s262)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5769, 13505])).
% 8.86/6.33 tff(13507,plain,
% 8.86/6.33 (~node4(s262)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11677, 22, 13506])).
% 8.86/6.33 tff(13508,plain,
% 8.86/6.33 (~always3(s261)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5781, 13506])).
% 8.86/6.33 tff(13509,plain,
% 8.86/6.33 (~node4(s261)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11660, 22, 13508])).
% 8.86/6.33 tff(13510,plain,
% 8.86/6.33 (xuntil6(s261)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13063, 13509])).
% 8.86/6.33 tff(13511,plain,
% 8.86/6.33 (until5(s262)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11673, 13510])).
% 8.86/6.33 tff(13512,plain,
% 8.86/6.33 (xuntil6(s262)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11684, 36, 13511, 13507])).
% 8.86/6.33 tff(13513,plain,
% 8.86/6.33 (until5(s263)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11690, 13512])).
% 8.86/6.33 tff(13514,plain,
% 8.86/6.33 (~node4(s263)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11694, 22, 13505])).
% 8.86/6.33 tff(13515,plain,
% 8.86/6.33 (xuntil6(s263) | (~until5(s263))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11701, 36, 13514])).
% 8.86/6.33 tff(13516,plain,
% 8.86/6.33 (xuntil6(s263)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13515, 13513])).
% 8.86/6.33 tff(13517,plain,
% 8.86/6.33 (until5(s264)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11707, 13516])).
% 8.86/6.33 tff(13518,plain,
% 8.86/6.33 (~node4(s264)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11711, 22, 13504])).
% 8.86/6.33 tff(13519,plain,
% 8.86/6.33 (xuntil6(s264) | (~until5(s264))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11718, 36, 13518])).
% 8.86/6.33 tff(13520,plain,
% 8.86/6.33 (xuntil6(s264)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13519, 13517])).
% 8.86/6.33 tff(13521,plain,
% 8.86/6.33 (until5(s265)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11724, 13520])).
% 8.86/6.33 tff(13522,plain,
% 8.86/6.33 (~node4(s265)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11728, 22, 13503])).
% 8.86/6.33 tff(13523,plain,
% 8.86/6.33 (xuntil6(s265) | (~until5(s265))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11735, 36, 13522])).
% 8.86/6.33 tff(13524,plain,
% 8.86/6.33 (xuntil6(s265)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13523, 13521])).
% 8.86/6.33 tff(13525,plain,
% 8.86/6.33 (until5(s266)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11741, 13524])).
% 8.86/6.33 tff(13526,plain,
% 8.86/6.33 (~node4(s266)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11745, 22, 13502])).
% 8.86/6.33 tff(13527,plain,
% 8.86/6.33 (xuntil6(s266) | (~until5(s266))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11752, 36, 13526])).
% 8.86/6.33 tff(13528,plain,
% 8.86/6.33 (xuntil6(s266)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13527, 13525])).
% 8.86/6.33 tff(13529,plain,
% 8.86/6.33 (until5(s267)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11758, 13528])).
% 8.86/6.33 tff(13530,plain,
% 8.86/6.33 (~node4(s267)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11762, 22, 13501])).
% 8.86/6.33 tff(13531,plain,
% 8.86/6.33 (xuntil6(s267) | (~until5(s267))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11769, 36, 13530])).
% 8.86/6.33 tff(13532,plain,
% 8.86/6.33 (xuntil6(s267)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13531, 13529])).
% 8.86/6.33 tff(13533,plain,
% 8.86/6.33 (until5(s268)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11775, 13532])).
% 8.86/6.33 tff(13534,plain,
% 8.86/6.33 (~node4(s268)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11779, 22, 13500])).
% 8.86/6.33 tff(13535,plain,
% 8.86/6.33 (xuntil6(s268) | (~until5(s268))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11786, 36, 13534])).
% 8.86/6.33 tff(13536,plain,
% 8.86/6.33 (xuntil6(s268)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13535, 13533])).
% 8.86/6.33 tff(13537,plain,
% 8.86/6.33 (until5(s269)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11792, 13536])).
% 8.86/6.33 tff(13538,plain,
% 8.86/6.33 (~node4(s269)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11796, 22, 13499])).
% 8.86/6.33 tff(13539,plain,
% 8.86/6.33 (xuntil6(s269) | (~until5(s269))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11803, 36, 13538])).
% 8.86/6.33 tff(13540,plain,
% 8.86/6.33 (xuntil6(s269)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13539, 13537])).
% 8.86/6.33 tff(13541,plain,
% 8.86/6.33 (until5(s270)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11809, 13540])).
% 8.86/6.33 tff(13542,plain,
% 8.86/6.33 (~node4(s270)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11813, 22, 13498])).
% 8.86/6.33 tff(13543,plain,
% 8.86/6.33 (xuntil6(s270) | (~until5(s270))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11820, 36, 13542])).
% 8.86/6.33 tff(13544,plain,
% 8.86/6.33 (xuntil6(s270)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13543, 13541])).
% 8.86/6.33 tff(13545,plain,
% 8.86/6.33 (until5(s271)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11826, 13544])).
% 8.86/6.33 tff(13546,plain,
% 8.86/6.33 (~node4(s271)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11830, 22, 13497])).
% 8.86/6.33 tff(13547,plain,
% 8.86/6.33 (xuntil6(s271) | (~until5(s271))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11837, 36, 13546])).
% 8.86/6.33 tff(13548,plain,
% 8.86/6.33 (xuntil6(s271)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13547, 13545])).
% 8.86/6.33 tff(13549,plain,
% 8.86/6.33 (until5(s272)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11843, 13548])).
% 8.86/6.33 tff(13550,plain,
% 8.86/6.33 (~node4(s272)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11847, 22, 13496])).
% 8.86/6.33 tff(13551,plain,
% 8.86/6.33 (xuntil6(s272) | (~until5(s272))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11854, 36, 13550])).
% 8.86/6.33 tff(13552,plain,
% 8.86/6.33 (xuntil6(s272)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13551, 13549])).
% 8.86/6.33 tff(13553,plain,
% 8.86/6.33 (until5(s273)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11860, 13552])).
% 8.86/6.33 tff(13554,plain,
% 8.86/6.33 (~node4(s273)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11864, 22, 13495])).
% 8.86/6.33 tff(13555,plain,
% 8.86/6.33 (xuntil6(s273) | (~until5(s273))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11871, 36, 13554])).
% 8.86/6.33 tff(13556,plain,
% 8.86/6.33 (xuntil6(s273)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13555, 13553])).
% 8.86/6.33 tff(13557,plain,
% 8.86/6.33 (until5(s274)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11877, 13556])).
% 8.86/6.33 tff(13558,plain,
% 8.86/6.33 (~node4(s274)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11881, 22, 13494])).
% 8.86/6.33 tff(13559,plain,
% 8.86/6.33 (xuntil6(s274) | (~until5(s274))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11888, 36, 13558])).
% 8.86/6.33 tff(13560,plain,
% 8.86/6.33 (xuntil6(s274)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13559, 13557])).
% 8.86/6.33 tff(13561,plain,
% 8.86/6.33 (until5(s275)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11894, 13560])).
% 8.86/6.33 tff(13562,plain,
% 8.86/6.33 (~node4(s275)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11898, 22, 13493])).
% 8.86/6.33 tff(13563,plain,
% 8.86/6.33 (xuntil6(s275) | (~until5(s275))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11905, 36, 13562])).
% 8.86/6.33 tff(13564,plain,
% 8.86/6.33 (xuntil6(s275)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13563, 13561])).
% 8.86/6.33 tff(13565,plain,
% 8.86/6.33 (until5(s276)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11911, 13564])).
% 8.86/6.33 tff(13566,plain,
% 8.86/6.33 (~node4(s276)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11915, 22, 13492])).
% 8.86/6.33 tff(13567,plain,
% 8.86/6.33 (xuntil6(s276) | (~until5(s276))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11922, 36, 13566])).
% 8.86/6.33 tff(13568,plain,
% 8.86/6.33 (xuntil6(s276)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13567, 13565])).
% 8.86/6.33 tff(13569,plain,
% 8.86/6.33 (until5(s277)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11928, 13568])).
% 8.86/6.33 tff(13570,plain,
% 8.86/6.33 (~node4(s277)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11932, 22, 13491])).
% 8.86/6.33 tff(13571,plain,
% 8.86/6.33 (xuntil6(s277) | (~until5(s277))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11939, 36, 13570])).
% 8.86/6.33 tff(13572,plain,
% 8.86/6.33 (xuntil6(s277)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13571, 13569])).
% 8.86/6.33 tff(13573,plain,
% 8.86/6.33 (until5(s278)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11945, 13572])).
% 8.86/6.33 tff(13574,plain,
% 8.86/6.33 (~node4(s278)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11949, 22, 13490])).
% 8.86/6.33 tff(13575,plain,
% 8.86/6.33 (xuntil6(s278) | (~until5(s278))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11956, 36, 13574])).
% 8.86/6.33 tff(13576,plain,
% 8.86/6.33 (xuntil6(s278)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13575, 13573])).
% 8.86/6.33 tff(13577,plain,
% 8.86/6.33 (until5(s279)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11962, 13576])).
% 8.86/6.33 tff(13578,plain,
% 8.86/6.33 (~node4(s279)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11966, 22, 13489])).
% 8.86/6.33 tff(13579,plain,
% 8.86/6.33 (xuntil6(s279) | (~until5(s279))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11973, 36, 13578])).
% 8.86/6.33 tff(13580,plain,
% 8.86/6.33 (xuntil6(s279)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13579, 13577])).
% 8.86/6.33 tff(13581,plain,
% 8.86/6.33 (until5(s280)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11979, 13580])).
% 8.86/6.33 tff(13582,plain,
% 8.86/6.33 (~node4(s280)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11983, 22, 13488])).
% 8.86/6.33 tff(13583,plain,
% 8.86/6.33 (xuntil6(s280) | (~until5(s280))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11990, 36, 13582])).
% 8.86/6.33 tff(13584,plain,
% 8.86/6.33 (xuntil6(s280)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13583, 13581])).
% 8.86/6.33 tff(13585,plain,
% 8.86/6.33 (until5(s281)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[11996, 13584])).
% 8.86/6.33 tff(13586,plain,
% 8.86/6.33 (~node4(s281)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12000, 22, 13487])).
% 8.86/6.33 tff(13587,plain,
% 8.86/6.33 (xuntil6(s281) | (~until5(s281))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12007, 36, 13586])).
% 8.86/6.33 tff(13588,plain,
% 8.86/6.33 (xuntil6(s281)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13587, 13585])).
% 8.86/6.33 tff(13589,plain,
% 8.86/6.33 (until5(s282)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12013, 13588])).
% 8.86/6.33 tff(13590,plain,
% 8.86/6.33 (~node4(s282)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12017, 22, 13486])).
% 8.86/6.33 tff(13591,plain,
% 8.86/6.33 (xuntil6(s282) | (~until5(s282))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12024, 36, 13590])).
% 8.86/6.33 tff(13592,plain,
% 8.86/6.33 (xuntil6(s282)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13591, 13589])).
% 8.86/6.33 tff(13593,plain,
% 8.86/6.33 (until5(s283)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12030, 13592])).
% 8.86/6.33 tff(13594,plain,
% 8.86/6.33 (~node4(s283)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12034, 22, 13485])).
% 8.86/6.33 tff(13595,plain,
% 8.86/6.33 (xuntil6(s283) | (~until5(s283))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12041, 36, 13594])).
% 8.86/6.33 tff(13596,plain,
% 8.86/6.33 (xuntil6(s283)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13595, 13593])).
% 8.86/6.33 tff(13597,plain,
% 8.86/6.33 (until5(s284)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12047, 13596])).
% 8.86/6.33 tff(13598,plain,
% 8.86/6.33 (~node4(s284)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12051, 22, 13484])).
% 8.86/6.33 tff(13599,plain,
% 8.86/6.33 (xuntil6(s284) | (~until5(s284))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12058, 36, 13598])).
% 8.86/6.33 tff(13600,plain,
% 8.86/6.33 (xuntil6(s284)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13599, 13597])).
% 8.86/6.33 tff(13601,plain,
% 8.86/6.33 (until5(s285)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12064, 13600])).
% 8.86/6.33 tff(13602,plain,
% 8.86/6.33 (~node4(s285)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12068, 22, 13483])).
% 8.86/6.33 tff(13603,plain,
% 8.86/6.33 (xuntil6(s285) | (~until5(s285))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12075, 36, 13602])).
% 8.86/6.33 tff(13604,plain,
% 8.86/6.33 (xuntil6(s285)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13603, 13601])).
% 8.86/6.33 tff(13605,plain,
% 8.86/6.33 (until5(s286)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12081, 13604])).
% 8.86/6.33 tff(13606,plain,
% 8.86/6.33 (~node4(s286)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12085, 22, 13482])).
% 8.86/6.33 tff(13607,plain,
% 8.86/6.33 (xuntil6(s286) | (~until5(s286))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12092, 36, 13606])).
% 8.86/6.33 tff(13608,plain,
% 8.86/6.33 (xuntil6(s286)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13607, 13605])).
% 8.86/6.33 tff(13609,plain,
% 8.86/6.33 (until5(s287)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12098, 13608])).
% 8.86/6.33 tff(13610,plain,
% 8.86/6.33 (~node4(s287)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12102, 22, 13481])).
% 8.86/6.33 tff(13611,plain,
% 8.86/6.33 (xuntil6(s287) | (~until5(s287))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12109, 36, 13610])).
% 8.86/6.33 tff(13612,plain,
% 8.86/6.33 (xuntil6(s287)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13611, 13609])).
% 8.86/6.33 tff(13613,plain,
% 8.86/6.33 (until5(s288)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12115, 13612])).
% 8.86/6.33 tff(13614,plain,
% 8.86/6.33 (~node4(s288)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12119, 22, 13480])).
% 8.86/6.33 tff(13615,plain,
% 8.86/6.33 (xuntil6(s288) | (~until5(s288))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12126, 36, 13614])).
% 8.86/6.33 tff(13616,plain,
% 8.86/6.33 (xuntil6(s288)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13615, 13613])).
% 8.86/6.33 tff(13617,plain,
% 8.86/6.33 (until5(s289)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12132, 13616])).
% 8.86/6.33 tff(13618,plain,
% 8.86/6.33 (~node4(s289)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12136, 22, 13479])).
% 8.86/6.33 tff(13619,plain,
% 8.86/6.33 (xuntil6(s289) | (~until5(s289))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12143, 36, 13618])).
% 8.86/6.33 tff(13620,plain,
% 8.86/6.33 (xuntil6(s289)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13619, 13617])).
% 8.86/6.33 tff(13621,plain,
% 8.86/6.33 (until5(s290)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12149, 13620])).
% 8.86/6.33 tff(13622,plain,
% 8.86/6.33 (~node4(s290)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12153, 22, 13478])).
% 8.86/6.33 tff(13623,plain,
% 8.86/6.33 (xuntil6(s290) | (~until5(s290))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12160, 36, 13622])).
% 8.86/6.33 tff(13624,plain,
% 8.86/6.33 (xuntil6(s290)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13623, 13621])).
% 8.86/6.33 tff(13625,plain,
% 8.86/6.33 (until5(s291)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12166, 13624])).
% 8.86/6.33 tff(13626,plain,
% 8.86/6.33 (~node4(s291)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12170, 22, 13477])).
% 8.86/6.33 tff(13627,plain,
% 8.86/6.33 (xuntil6(s291) | (~until5(s291))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12177, 36, 13626])).
% 8.86/6.33 tff(13628,plain,
% 8.86/6.33 (xuntil6(s291)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13627, 13625])).
% 8.86/6.33 tff(13629,plain,
% 8.86/6.33 (until5(s292)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12183, 13628])).
% 8.86/6.33 tff(13630,plain,
% 8.86/6.33 (~node4(s292)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12187, 22, 13476])).
% 8.86/6.33 tff(13631,plain,
% 8.86/6.33 (xuntil6(s292) | (~until5(s292))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12194, 36, 13630])).
% 8.86/6.33 tff(13632,plain,
% 8.86/6.33 (xuntil6(s292)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13631, 13629])).
% 8.86/6.33 tff(13633,plain,
% 8.86/6.33 ($false),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12200, 13632, 13475])).
% 8.86/6.33 tff(13634,plain,(always3(s324) | (~until5(s261)) | xuntil6(s324)), inference(lemma,lemma(discharge,[]))).
% 8.86/6.33 tff(13635,plain,
% 8.86/6.33 (always3(s324)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13634, 13316, 11657])).
% 8.86/6.33 tff(13636,plain,
% 8.86/6.33 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s324)) | (~m_main_v_state(s324, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s324)) | (~m_main_v_state(s324, c_busy)))),
% 8.86/6.33 inference(rewrite,[status(thm)],[])).
% 8.86/6.33 tff(13637,plain,
% 8.86/6.33 (((~m_main_v_state(s324, c_busy)) | (~always3(s324))) <=> ((~always3(s324)) | (~m_main_v_state(s324, c_busy)))),
% 8.86/6.33 inference(rewrite,[status(thm)],[])).
% 8.86/6.33 tff(13638,plain,
% 8.86/6.33 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s324, c_busy)) | (~always3(s324)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s324)) | (~m_main_v_state(s324, c_busy))))),
% 8.86/6.33 inference(monotonicity,[status(thm)],[13637])).
% 8.86/6.33 tff(13639,plain,
% 8.86/6.33 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s324, c_busy)) | (~always3(s324)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s324)) | (~m_main_v_state(s324, c_busy)))),
% 8.86/6.33 inference(transitivity,[status(thm)],[13638, 13636])).
% 8.86/6.33 tff(13640,plain,
% 8.86/6.33 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s324, c_busy)) | (~always3(s324)))),
% 8.86/6.33 inference(quant_inst,[status(thm)],[])).
% 8.86/6.33 tff(13641,plain,
% 8.86/6.33 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s324)) | (~m_main_v_state(s324, c_busy))),
% 8.86/6.33 inference(modus_ponens,[status(thm)],[13640, 13639])).
% 8.86/6.33 tff(13642,plain,
% 8.86/6.33 (~m_main_v_state(s324, c_busy)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13641, 170, 13635])).
% 8.86/6.33 tff(13643,assumption,(~m_main_v_state(s324, c_busy)), introduced(assumption)).
% 8.86/6.33 tff(13644,assumption,(node4(s323)), introduced(assumption)).
% 8.86/6.33 tff(13645,plain,
% 8.86/6.33 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s323) | (~node4(s323)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s323) | (~node4(s323)))),
% 8.86/6.33 inference(rewrite,[status(thm)],[])).
% 8.86/6.33 tff(13646,plain,
% 8.86/6.33 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s323) | (~node4(s323)))),
% 8.86/6.33 inference(quant_inst,[status(thm)],[])).
% 8.86/6.33 tff(13647,plain,
% 8.86/6.33 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s323) | (~node4(s323))),
% 8.86/6.33 inference(modus_ponens,[status(thm)],[13646, 13645])).
% 8.86/6.33 tff(13648,plain,
% 8.86/6.33 (m_main_v_request(s323)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13647, 154, 13644])).
% 8.86/6.33 tff(13649,plain,
% 8.86/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s323, s324)) | node2(s323, s324))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s323, s324)) | node2(s323, s324))),
% 8.86/6.33 inference(rewrite,[status(thm)],[])).
% 8.86/6.33 tff(13650,plain,
% 8.86/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s323, s324)) | node2(s323, s324))),
% 8.86/6.33 inference(quant_inst,[status(thm)],[])).
% 8.86/6.33 tff(13651,plain,
% 8.86/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s323, s324)) | node2(s323, s324)),
% 8.86/6.33 inference(modus_ponens,[status(thm)],[13650, 13649])).
% 8.86/6.33 tff(13652,plain,
% 8.86/6.33 (node2(s323, s324)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13651, 7, 12687])).
% 8.86/6.33 tff(13653,plain,
% 8.86/6.33 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s323, c_ready)) | (~node2(s323, s324)) | m_main_v_state(s324, c_busy) | (~m_main_v_request(s323)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s323, c_ready)) | (~node2(s323, s324)) | m_main_v_state(s324, c_busy) | (~m_main_v_request(s323)))),
% 8.86/6.33 inference(rewrite,[status(thm)],[])).
% 8.86/6.33 tff(13654,plain,
% 8.86/6.33 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s323, c_ready)) | (~node2(s323, s324)) | m_main_v_state(s324, c_busy) | (~m_main_v_request(s323)))),
% 8.86/6.33 inference(quant_inst,[status(thm)],[])).
% 8.86/6.33 tff(13655,plain,
% 8.86/6.33 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s323, c_ready)) | (~node2(s323, s324)) | m_main_v_state(s324, c_busy) | (~m_main_v_request(s323))),
% 8.86/6.33 inference(modus_ponens,[status(thm)],[13654, 13653])).
% 8.86/6.33 tff(13656,plain,
% 8.86/6.33 ((~m_main_v_state(s323, c_ready)) | m_main_v_state(s324, c_busy) | (~m_main_v_request(s323))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13655, 191, 13652])).
% 8.86/6.33 tff(13657,plain,
% 8.86/6.33 (~m_main_v_state(s323, c_ready)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13656, 13648, 13643])).
% 8.86/6.33 tff(13658,plain,
% 8.86/6.33 (always3(s323)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12695, 22, 13644])).
% 8.86/6.33 tff(13659,plain,
% 8.86/6.33 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s323)) | (~m_main_v_state(s323, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s323)) | (~m_main_v_state(s323, c_busy)))),
% 8.86/6.33 inference(rewrite,[status(thm)],[])).
% 8.86/6.33 tff(13660,plain,
% 8.86/6.33 (((~m_main_v_state(s323, c_busy)) | (~always3(s323))) <=> ((~always3(s323)) | (~m_main_v_state(s323, c_busy)))),
% 8.86/6.33 inference(rewrite,[status(thm)],[])).
% 8.86/6.33 tff(13661,plain,
% 8.86/6.33 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s323, c_busy)) | (~always3(s323)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s323)) | (~m_main_v_state(s323, c_busy))))),
% 8.86/6.33 inference(monotonicity,[status(thm)],[13660])).
% 8.86/6.33 tff(13662,plain,
% 8.86/6.33 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s323, c_busy)) | (~always3(s323)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s323)) | (~m_main_v_state(s323, c_busy)))),
% 8.86/6.33 inference(transitivity,[status(thm)],[13661, 13659])).
% 8.86/6.33 tff(13663,plain,
% 8.86/6.33 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s323, c_busy)) | (~always3(s323)))),
% 8.86/6.33 inference(quant_inst,[status(thm)],[])).
% 8.86/6.33 tff(13664,plain,
% 8.86/6.33 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s323)) | (~m_main_v_state(s323, c_busy))),
% 8.86/6.33 inference(modus_ponens,[status(thm)],[13663, 13662])).
% 8.86/6.33 tff(13665,plain,
% 8.86/6.33 (~m_main_v_state(s323, c_busy)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13664, 170, 13658])).
% 8.86/6.33 tff(13666,plain,
% 8.86/6.33 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s323, c_busy) | m_main_v_state(s323, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s323, c_busy) | m_main_v_state(s323, c_ready))),
% 8.86/6.33 inference(rewrite,[status(thm)],[])).
% 8.86/6.33 tff(13667,plain,
% 8.86/6.33 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s323, c_busy) | m_main_v_state(s323, c_ready))),
% 8.86/6.33 inference(quant_inst,[status(thm)],[])).
% 8.86/6.33 tff(13668,plain,
% 8.86/6.33 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s323, c_busy) | m_main_v_state(s323, c_ready)),
% 8.86/6.33 inference(modus_ponens,[status(thm)],[13667, 13666])).
% 8.86/6.33 tff(13669,plain,
% 8.86/6.33 ($false),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13668, 213, 13665, 13657])).
% 8.86/6.33 tff(13670,plain,((~node4(s323)) | m_main_v_state(s324, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.86/6.33 tff(13671,plain,
% 8.86/6.33 (~node4(s323)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13670, 13642])).
% 8.86/6.33 tff(13672,plain,
% 8.86/6.33 (always3(s325)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12662, 13635])).
% 8.86/6.33 tff(13673,plain,
% 8.86/6.33 (~m_main_v_state(s325, c_busy)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13308, 170, 13672])).
% 8.86/6.33 tff(13674,plain,
% 8.86/6.33 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s324, c_busy) | m_main_v_state(s324, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s324, c_busy) | m_main_v_state(s324, c_ready))),
% 8.86/6.33 inference(rewrite,[status(thm)],[])).
% 8.86/6.33 tff(13675,plain,
% 8.86/6.33 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s324, c_busy) | m_main_v_state(s324, c_ready))),
% 8.86/6.33 inference(quant_inst,[status(thm)],[])).
% 8.86/6.33 tff(13676,plain,
% 8.86/6.33 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s324, c_busy) | m_main_v_state(s324, c_ready)),
% 8.86/6.33 inference(modus_ponens,[status(thm)],[13675, 13674])).
% 8.86/6.33 tff(13677,plain,
% 8.86/6.33 (m_main_v_state(s324, c_ready)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13676, 213, 13642])).
% 8.86/6.33 tff(13678,plain,
% 8.86/6.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s324, s325)) | node2(s324, s325))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s324, s325)) | node2(s324, s325))),
% 8.86/6.33 inference(rewrite,[status(thm)],[])).
% 8.86/6.33 tff(13679,plain,
% 8.86/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s324, s325)) | node2(s324, s325))),
% 8.86/6.33 inference(quant_inst,[status(thm)],[])).
% 8.86/6.33 tff(13680,plain,
% 8.86/6.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s324, s325)) | node2(s324, s325)),
% 8.86/6.33 inference(modus_ponens,[status(thm)],[13679, 13678])).
% 8.86/6.33 tff(13681,plain,
% 8.86/6.33 (node2(s324, s325)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13680, 7, 12658])).
% 8.86/6.33 tff(13682,plain,
% 8.86/6.33 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s324, c_ready)) | (~node2(s324, s325)) | m_main_v_state(s325, c_busy) | (~m_main_v_request(s324)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s324, c_ready)) | (~node2(s324, s325)) | m_main_v_state(s325, c_busy) | (~m_main_v_request(s324)))),
% 8.86/6.33 inference(rewrite,[status(thm)],[])).
% 8.86/6.33 tff(13683,plain,
% 8.86/6.33 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s324, c_ready)) | (~node2(s324, s325)) | m_main_v_state(s325, c_busy) | (~m_main_v_request(s324)))),
% 8.86/6.33 inference(quant_inst,[status(thm)],[])).
% 8.86/6.33 tff(13684,plain,
% 8.86/6.33 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s324, c_ready)) | (~node2(s324, s325)) | m_main_v_state(s325, c_busy) | (~m_main_v_request(s324))),
% 8.86/6.33 inference(modus_ponens,[status(thm)],[13683, 13682])).
% 8.86/6.33 tff(13685,plain,
% 8.86/6.33 ((~m_main_v_state(s324, c_ready)) | m_main_v_state(s325, c_busy) | (~m_main_v_request(s324))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13684, 191, 13681])).
% 8.86/6.33 tff(13686,plain,
% 8.86/6.33 (~m_main_v_request(s324)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13685, 13677, 13673])).
% 8.86/6.33 tff(13687,plain,
% 8.86/6.33 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s324) | (~node4(s324)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s324) | (~node4(s324)))),
% 8.86/6.33 inference(rewrite,[status(thm)],[])).
% 8.86/6.33 tff(13688,plain,
% 8.86/6.33 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s324) | (~node4(s324)))),
% 8.86/6.33 inference(quant_inst,[status(thm)],[])).
% 8.86/6.33 tff(13689,plain,
% 8.86/6.33 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s324) | (~node4(s324))),
% 8.86/6.33 inference(modus_ponens,[status(thm)],[13688, 13687])).
% 8.86/6.33 tff(13690,plain,
% 8.86/6.33 (~node4(s324)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13689, 154, 13686])).
% 8.86/6.33 tff(13691,plain,
% 8.86/6.33 (node4(s324) | (~until5(s324))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12673, 36, 13316])).
% 8.86/6.33 tff(13692,plain,
% 8.86/6.33 (~until5(s324)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13691, 13690])).
% 8.86/6.33 tff(13693,plain,
% 8.86/6.33 (~xuntil6(s323)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12682, 13692])).
% 8.86/6.33 tff(13694,plain,
% 8.86/6.33 (~until5(s323)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12702, 36, 13693, 13671])).
% 8.86/6.33 tff(13695,plain,
% 8.86/6.33 (~xuntil6(s322)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12711, 13694])).
% 8.86/6.33 tff(13696,assumption,(~always3(s322)), introduced(assumption)).
% 8.86/6.33 tff(13697,plain,
% 8.86/6.33 (~always3(s321)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12749, 13696])).
% 8.86/6.33 tff(13698,plain,
% 8.86/6.33 (~node4(s321)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12753, 22, 13697])).
% 8.86/6.33 tff(13699,plain,
% 8.86/6.33 (~node4(s322)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12724, 22, 13696])).
% 8.86/6.33 tff(13700,assumption,(~xuntil6(s322)), introduced(assumption)).
% 8.86/6.33 tff(13701,plain,
% 8.86/6.33 (node4(s322) | (~until5(s322))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12731, 36, 13700])).
% 8.86/6.33 tff(13702,plain,
% 8.86/6.33 (~until5(s322)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13701, 13699])).
% 8.86/6.33 tff(13703,plain,
% 8.86/6.33 (~xuntil6(s321)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12740, 13702])).
% 8.86/6.33 tff(13704,plain,
% 8.86/6.33 (~until5(s321)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12760, 36, 13703, 13698])).
% 8.86/6.33 tff(13705,plain,
% 8.86/6.33 (~xuntil6(s320)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12769, 13704])).
% 8.86/6.33 tff(13706,plain,
% 8.86/6.33 (~always3(s320)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12778, 13697])).
% 8.86/6.33 tff(13707,plain,
% 8.86/6.33 (~node4(s320)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12782, 22, 13706])).
% 8.86/6.33 tff(13708,plain,
% 8.86/6.33 (xuntil6(s320) | (~until5(s320))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12789, 36, 13707])).
% 8.86/6.33 tff(13709,plain,
% 8.86/6.33 (~until5(s320)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13708, 13705])).
% 8.86/6.33 tff(13710,plain,
% 8.86/6.33 (~xuntil6(s319)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12798, 13709])).
% 8.86/6.33 tff(13711,plain,
% 8.86/6.33 (~always3(s319)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12807, 13706])).
% 8.86/6.33 tff(13712,plain,
% 8.86/6.33 (~node4(s319)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12811, 22, 13711])).
% 8.86/6.33 tff(13713,plain,
% 8.86/6.33 (xuntil6(s319) | (~until5(s319))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12818, 36, 13712])).
% 8.86/6.33 tff(13714,plain,
% 8.86/6.33 (~until5(s319)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13713, 13710])).
% 8.86/6.33 tff(13715,plain,
% 8.86/6.33 (~xuntil6(s318)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12827, 13714])).
% 8.86/6.33 tff(13716,plain,
% 8.86/6.33 (~always3(s318)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12836, 13711])).
% 8.86/6.33 tff(13717,plain,
% 8.86/6.33 (~node4(s318)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12840, 22, 13716])).
% 8.86/6.33 tff(13718,plain,
% 8.86/6.33 (xuntil6(s318) | (~until5(s318))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12847, 36, 13717])).
% 8.86/6.33 tff(13719,plain,
% 8.86/6.33 (~until5(s318)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13718, 13715])).
% 8.86/6.33 tff(13720,plain,
% 8.86/6.33 (~xuntil6(s317)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12856, 13719])).
% 8.86/6.33 tff(13721,plain,
% 8.86/6.33 (~always3(s317)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12865, 13716])).
% 8.86/6.33 tff(13722,plain,
% 8.86/6.33 (~node4(s317)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12869, 22, 13721])).
% 8.86/6.33 tff(13723,plain,
% 8.86/6.33 (xuntil6(s317) | (~until5(s317))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12876, 36, 13722])).
% 8.86/6.33 tff(13724,plain,
% 8.86/6.33 (~until5(s317)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13723, 13720])).
% 8.86/6.33 tff(13725,plain,
% 8.86/6.33 (~xuntil6(s316)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12885, 13724])).
% 8.86/6.33 tff(13726,plain,
% 8.86/6.33 (~always3(s316)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12894, 13721])).
% 8.86/6.33 tff(13727,plain,
% 8.86/6.33 (~node4(s316)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12898, 22, 13726])).
% 8.86/6.33 tff(13728,plain,
% 8.86/6.33 (xuntil6(s316) | (~until5(s316))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12905, 36, 13727])).
% 8.86/6.33 tff(13729,plain,
% 8.86/6.33 (~until5(s316)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13728, 13725])).
% 8.86/6.33 tff(13730,plain,
% 8.86/6.33 (~xuntil6(s315)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12911, 13729])).
% 8.86/6.33 tff(13731,plain,
% 8.86/6.33 (~always3(s315)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5133, 13726])).
% 8.86/6.33 tff(13732,plain,
% 8.86/6.33 (~node4(s315)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12916, 22, 13731])).
% 8.86/6.33 tff(13733,plain,
% 8.86/6.33 (xuntil6(s315) | (~until5(s315))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12923, 36, 13732])).
% 8.86/6.33 tff(13734,plain,
% 8.86/6.33 (~until5(s315)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13733, 13730])).
% 8.86/6.33 tff(13735,plain,
% 8.86/6.33 (~xuntil6(s314)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12574, 13734])).
% 8.86/6.33 tff(13736,plain,
% 8.86/6.33 (~always3(s314)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5145, 13731])).
% 8.86/6.33 tff(13737,plain,
% 8.86/6.33 (~node4(s314)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12561, 22, 13736])).
% 8.86/6.33 tff(13738,plain,
% 8.86/6.33 (xuntil6(s314) | (~until5(s314))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12568, 36, 13737])).
% 8.86/6.33 tff(13739,plain,
% 8.86/6.33 (~until5(s314)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13738, 13735])).
% 8.86/6.33 tff(13740,plain,
% 8.86/6.33 (~xuntil6(s313)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12557, 13739])).
% 8.86/6.33 tff(13741,plain,
% 8.86/6.33 (~always3(s313)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5157, 13736])).
% 8.86/6.33 tff(13742,plain,
% 8.86/6.33 (~node4(s313)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12544, 22, 13741])).
% 8.86/6.33 tff(13743,plain,
% 8.86/6.33 (xuntil6(s313) | (~until5(s313))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12551, 36, 13742])).
% 8.86/6.33 tff(13744,plain,
% 8.86/6.33 (~until5(s313)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13743, 13740])).
% 8.86/6.33 tff(13745,plain,
% 8.86/6.33 (~xuntil6(s312)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12540, 13744])).
% 8.86/6.33 tff(13746,plain,
% 8.86/6.33 (~always3(s312)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5169, 13741])).
% 8.86/6.33 tff(13747,plain,
% 8.86/6.33 (~node4(s312)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12527, 22, 13746])).
% 8.86/6.33 tff(13748,plain,
% 8.86/6.33 (xuntil6(s312) | (~until5(s312))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12534, 36, 13747])).
% 8.86/6.33 tff(13749,plain,
% 8.86/6.33 (~until5(s312)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13748, 13745])).
% 8.86/6.33 tff(13750,plain,
% 8.86/6.33 (~xuntil6(s311)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12523, 13749])).
% 8.86/6.33 tff(13751,plain,
% 8.86/6.33 (~always3(s311)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5181, 13746])).
% 8.86/6.33 tff(13752,plain,
% 8.86/6.33 (~node4(s311)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12510, 22, 13751])).
% 8.86/6.33 tff(13753,plain,
% 8.86/6.33 (xuntil6(s311) | (~until5(s311))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12517, 36, 13752])).
% 8.86/6.33 tff(13754,plain,
% 8.86/6.33 (~until5(s311)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13753, 13750])).
% 8.86/6.33 tff(13755,plain,
% 8.86/6.33 (~xuntil6(s310)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12506, 13754])).
% 8.86/6.33 tff(13756,plain,
% 8.86/6.33 (~always3(s310)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5193, 13751])).
% 8.86/6.33 tff(13757,plain,
% 8.86/6.33 (~node4(s310)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12493, 22, 13756])).
% 8.86/6.33 tff(13758,plain,
% 8.86/6.33 (xuntil6(s310) | (~until5(s310))),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12500, 36, 13757])).
% 8.86/6.33 tff(13759,plain,
% 8.86/6.33 (~until5(s310)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[13758, 13755])).
% 8.86/6.33 tff(13760,plain,
% 8.86/6.33 (~xuntil6(s309)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[12489, 13759])).
% 8.86/6.33 tff(13761,plain,
% 8.86/6.33 (~always3(s309)),
% 8.86/6.33 inference(unit_resolution,[status(thm)],[5205, 13756])).
% 8.86/6.33 tff(13762,plain,
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% 8.86/6.34 inference(unit_resolution,[status(thm)],[12476, 22, 13761])).
% 8.86/6.34 tff(13763,plain,
% 8.86/6.34 (xuntil6(s309) | (~until5(s309))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12483, 36, 13762])).
% 8.86/6.34 tff(13764,plain,
% 8.86/6.34 (~until5(s309)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13763, 13760])).
% 8.86/6.34 tff(13765,plain,
% 8.86/6.34 (~xuntil6(s308)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12472, 13764])).
% 8.86/6.34 tff(13766,plain,
% 8.86/6.34 (~always3(s308)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5217, 13761])).
% 8.86/6.34 tff(13767,plain,
% 8.86/6.34 (~node4(s308)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12459, 22, 13766])).
% 8.86/6.34 tff(13768,plain,
% 8.86/6.34 (xuntil6(s308) | (~until5(s308))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12466, 36, 13767])).
% 8.86/6.34 tff(13769,plain,
% 8.86/6.34 (~until5(s308)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13768, 13765])).
% 8.86/6.34 tff(13770,plain,
% 8.86/6.34 (~xuntil6(s307)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12455, 13769])).
% 8.86/6.34 tff(13771,plain,
% 8.86/6.34 (~always3(s307)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5229, 13766])).
% 8.86/6.34 tff(13772,plain,
% 8.86/6.34 (~node4(s307)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12442, 22, 13771])).
% 8.86/6.34 tff(13773,plain,
% 8.86/6.34 (xuntil6(s307) | (~until5(s307))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12449, 36, 13772])).
% 8.86/6.34 tff(13774,plain,
% 8.86/6.34 (~until5(s307)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13773, 13770])).
% 8.86/6.34 tff(13775,plain,
% 8.86/6.34 (~xuntil6(s306)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12438, 13774])).
% 8.86/6.34 tff(13776,plain,
% 8.86/6.34 (~always3(s306)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5241, 13771])).
% 8.86/6.34 tff(13777,plain,
% 8.86/6.34 (~node4(s306)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12425, 22, 13776])).
% 8.86/6.34 tff(13778,plain,
% 8.86/6.34 (xuntil6(s306) | (~until5(s306))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12432, 36, 13777])).
% 8.86/6.34 tff(13779,plain,
% 8.86/6.34 (~until5(s306)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13778, 13775])).
% 8.86/6.34 tff(13780,plain,
% 8.86/6.34 (~xuntil6(s305)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12421, 13779])).
% 8.86/6.34 tff(13781,plain,
% 8.86/6.34 (~always3(s305)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5253, 13776])).
% 8.86/6.34 tff(13782,plain,
% 8.86/6.34 (~node4(s305)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12408, 22, 13781])).
% 8.86/6.34 tff(13783,plain,
% 8.86/6.34 (xuntil6(s305) | (~until5(s305))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12415, 36, 13782])).
% 8.86/6.34 tff(13784,plain,
% 8.86/6.34 (~until5(s305)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13783, 13780])).
% 8.86/6.34 tff(13785,plain,
% 8.86/6.34 (~xuntil6(s304)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12404, 13784])).
% 8.86/6.34 tff(13786,plain,
% 8.86/6.34 (~always3(s304)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5265, 13781])).
% 8.86/6.34 tff(13787,plain,
% 8.86/6.34 (~node4(s304)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12391, 22, 13786])).
% 8.86/6.34 tff(13788,plain,
% 8.86/6.34 (xuntil6(s304) | (~until5(s304))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12398, 36, 13787])).
% 8.86/6.34 tff(13789,plain,
% 8.86/6.34 (~until5(s304)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13788, 13785])).
% 8.86/6.34 tff(13790,plain,
% 8.86/6.34 (~xuntil6(s303)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12387, 13789])).
% 8.86/6.34 tff(13791,plain,
% 8.86/6.34 (~always3(s303)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5277, 13786])).
% 8.86/6.34 tff(13792,plain,
% 8.86/6.34 (~node4(s303)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12374, 22, 13791])).
% 8.86/6.34 tff(13793,plain,
% 8.86/6.34 (xuntil6(s303) | (~until5(s303))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12381, 36, 13792])).
% 8.86/6.34 tff(13794,plain,
% 8.86/6.34 (~until5(s303)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13793, 13790])).
% 8.86/6.34 tff(13795,plain,
% 8.86/6.34 (~xuntil6(s302)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12370, 13794])).
% 8.86/6.34 tff(13796,plain,
% 8.86/6.34 (~always3(s302)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5289, 13791])).
% 8.86/6.34 tff(13797,plain,
% 8.86/6.34 (~node4(s302)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12357, 22, 13796])).
% 8.86/6.34 tff(13798,plain,
% 8.86/6.34 (xuntil6(s302) | (~until5(s302))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12364, 36, 13797])).
% 8.86/6.34 tff(13799,plain,
% 8.86/6.34 (~until5(s302)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13798, 13795])).
% 8.86/6.34 tff(13800,plain,
% 8.86/6.34 (~xuntil6(s301)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12353, 13799])).
% 8.86/6.34 tff(13801,plain,
% 8.86/6.34 (~always3(s301)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5301, 13796])).
% 8.86/6.34 tff(13802,plain,
% 8.86/6.34 (~node4(s301)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12340, 22, 13801])).
% 8.86/6.34 tff(13803,plain,
% 8.86/6.34 (xuntil6(s301) | (~until5(s301))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12347, 36, 13802])).
% 8.86/6.34 tff(13804,plain,
% 8.86/6.34 (~until5(s301)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13803, 13800])).
% 8.86/6.34 tff(13805,plain,
% 8.86/6.34 (~xuntil6(s300)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12336, 13804])).
% 8.86/6.34 tff(13806,plain,
% 8.86/6.34 (~always3(s300)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5313, 13801])).
% 8.86/6.34 tff(13807,plain,
% 8.86/6.34 (~node4(s300)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12323, 22, 13806])).
% 8.86/6.34 tff(13808,plain,
% 8.86/6.34 (xuntil6(s300) | (~until5(s300))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12330, 36, 13807])).
% 8.86/6.34 tff(13809,plain,
% 8.86/6.34 (~until5(s300)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13808, 13805])).
% 8.86/6.34 tff(13810,plain,
% 8.86/6.34 (~xuntil6(s299)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12319, 13809])).
% 8.86/6.34 tff(13811,plain,
% 8.86/6.34 (~always3(s299)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5325, 13806])).
% 8.86/6.34 tff(13812,plain,
% 8.86/6.34 (~node4(s299)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12306, 22, 13811])).
% 8.86/6.34 tff(13813,plain,
% 8.86/6.34 (xuntil6(s299) | (~until5(s299))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12313, 36, 13812])).
% 8.86/6.34 tff(13814,plain,
% 8.86/6.34 (~until5(s299)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13813, 13810])).
% 8.86/6.34 tff(13815,plain,
% 8.86/6.34 (~xuntil6(s298)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12302, 13814])).
% 8.86/6.34 tff(13816,plain,
% 8.86/6.34 (~always3(s298)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5337, 13811])).
% 8.86/6.34 tff(13817,plain,
% 8.86/6.34 (~node4(s298)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12289, 22, 13816])).
% 8.86/6.34 tff(13818,plain,
% 8.86/6.34 (xuntil6(s298) | (~until5(s298))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12296, 36, 13817])).
% 8.86/6.34 tff(13819,plain,
% 8.86/6.34 (~until5(s298)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13818, 13815])).
% 8.86/6.34 tff(13820,plain,
% 8.86/6.34 (~xuntil6(s297)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12285, 13819])).
% 8.86/6.34 tff(13821,plain,
% 8.86/6.34 (~always3(s297)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5349, 13816])).
% 8.86/6.34 tff(13822,plain,
% 8.86/6.34 (~node4(s297)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12272, 22, 13821])).
% 8.86/6.34 tff(13823,plain,
% 8.86/6.34 (xuntil6(s297) | (~until5(s297))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12279, 36, 13822])).
% 8.86/6.34 tff(13824,plain,
% 8.86/6.34 (~until5(s297)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13823, 13820])).
% 8.86/6.34 tff(13825,plain,
% 8.86/6.34 (~xuntil6(s296)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12268, 13824])).
% 8.86/6.34 tff(13826,plain,
% 8.86/6.34 (~always3(s296)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5361, 13821])).
% 8.86/6.34 tff(13827,plain,
% 8.86/6.34 (~node4(s296)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12255, 22, 13826])).
% 8.86/6.34 tff(13828,plain,
% 8.86/6.34 (xuntil6(s296) | (~until5(s296))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12262, 36, 13827])).
% 8.86/6.34 tff(13829,plain,
% 8.86/6.34 (~until5(s296)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13828, 13825])).
% 8.86/6.34 tff(13830,plain,
% 8.86/6.34 (~xuntil6(s295)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12251, 13829])).
% 8.86/6.34 tff(13831,plain,
% 8.86/6.34 (~always3(s295)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5373, 13826])).
% 8.86/6.34 tff(13832,plain,
% 8.86/6.34 (~node4(s295)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12238, 22, 13831])).
% 8.86/6.34 tff(13833,plain,
% 8.86/6.34 (xuntil6(s295) | (~until5(s295))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12245, 36, 13832])).
% 8.86/6.34 tff(13834,plain,
% 8.86/6.34 (~until5(s295)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13833, 13830])).
% 8.86/6.34 tff(13835,plain,
% 8.86/6.34 (~xuntil6(s294)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12234, 13834])).
% 8.86/6.34 tff(13836,plain,
% 8.86/6.34 (~always3(s294)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5385, 13831])).
% 8.86/6.34 tff(13837,plain,
% 8.86/6.34 (~node4(s294)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12221, 22, 13836])).
% 8.86/6.34 tff(13838,plain,
% 8.86/6.34 (xuntil6(s294) | (~until5(s294))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12228, 36, 13837])).
% 8.86/6.34 tff(13839,plain,
% 8.86/6.34 (~until5(s294)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13838, 13835])).
% 8.86/6.34 tff(13840,plain,
% 8.86/6.34 (~xuntil6(s293)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12217, 13839])).
% 8.86/6.34 tff(13841,plain,
% 8.86/6.34 (~always3(s293)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5397, 13836])).
% 8.86/6.34 tff(13842,plain,
% 8.86/6.34 (~node4(s293)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12204, 22, 13841])).
% 8.86/6.34 tff(13843,plain,
% 8.86/6.34 (xuntil6(s293) | (~until5(s293))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12211, 36, 13842])).
% 8.86/6.34 tff(13844,plain,
% 8.86/6.34 (~until5(s293)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13843, 13840])).
% 8.86/6.34 tff(13845,plain,
% 8.86/6.34 (~xuntil6(s292)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12200, 13844])).
% 8.86/6.34 tff(13846,plain,
% 8.86/6.34 (~always3(s292)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5409, 13841])).
% 8.86/6.34 tff(13847,plain,
% 8.86/6.34 (~node4(s292)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12187, 22, 13846])).
% 8.86/6.34 tff(13848,plain,
% 8.86/6.34 (xuntil6(s292) | (~until5(s292))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12194, 36, 13847])).
% 8.86/6.34 tff(13849,plain,
% 8.86/6.34 (~until5(s292)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13848, 13845])).
% 8.86/6.34 tff(13850,plain,
% 8.86/6.34 (~always3(s291)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5421, 13846])).
% 8.86/6.34 tff(13851,plain,
% 8.86/6.34 (~always3(s290)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5433, 13850])).
% 8.86/6.34 tff(13852,plain,
% 8.86/6.34 (~always3(s289)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5445, 13851])).
% 8.86/6.34 tff(13853,plain,
% 8.86/6.34 (~always3(s288)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5457, 13852])).
% 8.86/6.34 tff(13854,plain,
% 8.86/6.34 (~always3(s287)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5469, 13853])).
% 8.86/6.34 tff(13855,plain,
% 8.86/6.34 (~always3(s286)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5481, 13854])).
% 8.86/6.34 tff(13856,plain,
% 8.86/6.34 (~always3(s285)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5493, 13855])).
% 8.86/6.34 tff(13857,plain,
% 8.86/6.34 (~always3(s284)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5505, 13856])).
% 8.86/6.34 tff(13858,plain,
% 8.86/6.34 (~always3(s283)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5517, 13857])).
% 8.86/6.34 tff(13859,plain,
% 8.86/6.34 (~always3(s282)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5529, 13858])).
% 8.86/6.34 tff(13860,plain,
% 8.86/6.34 (~always3(s281)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5541, 13859])).
% 8.86/6.34 tff(13861,plain,
% 8.86/6.34 (~always3(s280)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5553, 13860])).
% 8.86/6.34 tff(13862,plain,
% 8.86/6.34 (~always3(s279)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5565, 13861])).
% 8.86/6.34 tff(13863,plain,
% 8.86/6.34 (~always3(s278)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5577, 13862])).
% 8.86/6.34 tff(13864,plain,
% 8.86/6.34 (~always3(s277)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5589, 13863])).
% 8.86/6.34 tff(13865,plain,
% 8.86/6.34 (~always3(s276)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5601, 13864])).
% 8.86/6.34 tff(13866,plain,
% 8.86/6.34 (~always3(s275)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5613, 13865])).
% 8.86/6.34 tff(13867,plain,
% 8.86/6.34 (~always3(s274)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5625, 13866])).
% 8.86/6.34 tff(13868,plain,
% 8.86/6.34 (~always3(s273)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5637, 13867])).
% 8.86/6.34 tff(13869,plain,
% 8.86/6.34 (~always3(s272)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5649, 13868])).
% 8.86/6.34 tff(13870,plain,
% 8.86/6.34 (~always3(s271)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5661, 13869])).
% 8.86/6.34 tff(13871,plain,
% 8.86/6.34 (~always3(s270)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5673, 13870])).
% 8.86/6.34 tff(13872,plain,
% 8.86/6.34 (~always3(s269)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5685, 13871])).
% 8.86/6.34 tff(13873,plain,
% 8.86/6.34 (~always3(s268)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5697, 13872])).
% 8.86/6.34 tff(13874,plain,
% 8.86/6.34 (~always3(s267)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5709, 13873])).
% 8.86/6.34 tff(13875,plain,
% 8.86/6.34 (~always3(s266)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5721, 13874])).
% 8.86/6.34 tff(13876,plain,
% 8.86/6.34 (~always3(s265)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5733, 13875])).
% 8.86/6.34 tff(13877,plain,
% 8.86/6.34 (~always3(s264)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5745, 13876])).
% 8.86/6.34 tff(13878,plain,
% 8.86/6.34 (~always3(s263)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5757, 13877])).
% 8.86/6.34 tff(13879,plain,
% 8.86/6.34 (~always3(s262)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5769, 13878])).
% 8.86/6.34 tff(13880,plain,
% 8.86/6.34 (~node4(s262)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11677, 22, 13879])).
% 8.86/6.34 tff(13881,plain,
% 8.86/6.34 (~always3(s261)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5781, 13879])).
% 8.86/6.34 tff(13882,plain,
% 8.86/6.34 (~node4(s261)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11660, 22, 13881])).
% 8.86/6.34 tff(13883,plain,
% 8.86/6.34 (xuntil6(s261)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13063, 13882])).
% 8.86/6.34 tff(13884,plain,
% 8.86/6.34 (until5(s262)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11673, 13883])).
% 8.86/6.34 tff(13885,plain,
% 8.86/6.34 (xuntil6(s262)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11684, 36, 13884, 13880])).
% 8.86/6.34 tff(13886,plain,
% 8.86/6.34 (until5(s263)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11690, 13885])).
% 8.86/6.34 tff(13887,plain,
% 8.86/6.34 (~node4(s263)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11694, 22, 13878])).
% 8.86/6.34 tff(13888,plain,
% 8.86/6.34 (xuntil6(s263) | (~until5(s263))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11701, 36, 13887])).
% 8.86/6.34 tff(13889,plain,
% 8.86/6.34 (xuntil6(s263)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13888, 13886])).
% 8.86/6.34 tff(13890,plain,
% 8.86/6.34 (until5(s264)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11707, 13889])).
% 8.86/6.34 tff(13891,plain,
% 8.86/6.34 (~node4(s264)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11711, 22, 13877])).
% 8.86/6.34 tff(13892,plain,
% 8.86/6.34 (xuntil6(s264) | (~until5(s264))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11718, 36, 13891])).
% 8.86/6.34 tff(13893,plain,
% 8.86/6.34 (xuntil6(s264)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13892, 13890])).
% 8.86/6.34 tff(13894,plain,
% 8.86/6.34 (until5(s265)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11724, 13893])).
% 8.86/6.34 tff(13895,plain,
% 8.86/6.34 (~node4(s265)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11728, 22, 13876])).
% 8.86/6.34 tff(13896,plain,
% 8.86/6.34 (xuntil6(s265) | (~until5(s265))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11735, 36, 13895])).
% 8.86/6.34 tff(13897,plain,
% 8.86/6.34 (xuntil6(s265)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13896, 13894])).
% 8.86/6.34 tff(13898,plain,
% 8.86/6.34 (until5(s266)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11741, 13897])).
% 8.86/6.34 tff(13899,plain,
% 8.86/6.34 (~node4(s266)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11745, 22, 13875])).
% 8.86/6.34 tff(13900,plain,
% 8.86/6.34 (xuntil6(s266) | (~until5(s266))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11752, 36, 13899])).
% 8.86/6.34 tff(13901,plain,
% 8.86/6.34 (xuntil6(s266)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13900, 13898])).
% 8.86/6.34 tff(13902,plain,
% 8.86/6.34 (until5(s267)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11758, 13901])).
% 8.86/6.34 tff(13903,plain,
% 8.86/6.34 (~node4(s267)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11762, 22, 13874])).
% 8.86/6.34 tff(13904,plain,
% 8.86/6.34 (xuntil6(s267) | (~until5(s267))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11769, 36, 13903])).
% 8.86/6.34 tff(13905,plain,
% 8.86/6.34 (xuntil6(s267)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13904, 13902])).
% 8.86/6.34 tff(13906,plain,
% 8.86/6.34 (until5(s268)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11775, 13905])).
% 8.86/6.34 tff(13907,plain,
% 8.86/6.34 (~node4(s268)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11779, 22, 13873])).
% 8.86/6.34 tff(13908,plain,
% 8.86/6.34 (xuntil6(s268) | (~until5(s268))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11786, 36, 13907])).
% 8.86/6.34 tff(13909,plain,
% 8.86/6.34 (xuntil6(s268)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13908, 13906])).
% 8.86/6.34 tff(13910,plain,
% 8.86/6.34 (until5(s269)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11792, 13909])).
% 8.86/6.34 tff(13911,plain,
% 8.86/6.34 (~node4(s269)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11796, 22, 13872])).
% 8.86/6.34 tff(13912,plain,
% 8.86/6.34 (xuntil6(s269) | (~until5(s269))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11803, 36, 13911])).
% 8.86/6.34 tff(13913,plain,
% 8.86/6.34 (xuntil6(s269)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13912, 13910])).
% 8.86/6.34 tff(13914,plain,
% 8.86/6.34 (until5(s270)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11809, 13913])).
% 8.86/6.34 tff(13915,plain,
% 8.86/6.34 (~node4(s270)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11813, 22, 13871])).
% 8.86/6.34 tff(13916,plain,
% 8.86/6.34 (xuntil6(s270) | (~until5(s270))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11820, 36, 13915])).
% 8.86/6.34 tff(13917,plain,
% 8.86/6.34 (xuntil6(s270)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13916, 13914])).
% 8.86/6.34 tff(13918,plain,
% 8.86/6.34 (until5(s271)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11826, 13917])).
% 8.86/6.34 tff(13919,plain,
% 8.86/6.34 (~node4(s271)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11830, 22, 13870])).
% 8.86/6.34 tff(13920,plain,
% 8.86/6.34 (xuntil6(s271) | (~until5(s271))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11837, 36, 13919])).
% 8.86/6.34 tff(13921,plain,
% 8.86/6.34 (xuntil6(s271)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13920, 13918])).
% 8.86/6.34 tff(13922,plain,
% 8.86/6.34 (until5(s272)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11843, 13921])).
% 8.86/6.34 tff(13923,plain,
% 8.86/6.34 (~node4(s272)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11847, 22, 13869])).
% 8.86/6.34 tff(13924,plain,
% 8.86/6.34 (xuntil6(s272) | (~until5(s272))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11854, 36, 13923])).
% 8.86/6.34 tff(13925,plain,
% 8.86/6.34 (xuntil6(s272)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13924, 13922])).
% 8.86/6.34 tff(13926,plain,
% 8.86/6.34 (until5(s273)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11860, 13925])).
% 8.86/6.34 tff(13927,plain,
% 8.86/6.34 (~node4(s273)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11864, 22, 13868])).
% 8.86/6.34 tff(13928,plain,
% 8.86/6.34 (xuntil6(s273) | (~until5(s273))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11871, 36, 13927])).
% 8.86/6.34 tff(13929,plain,
% 8.86/6.34 (xuntil6(s273)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13928, 13926])).
% 8.86/6.34 tff(13930,plain,
% 8.86/6.34 (until5(s274)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11877, 13929])).
% 8.86/6.34 tff(13931,plain,
% 8.86/6.34 (~node4(s274)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11881, 22, 13867])).
% 8.86/6.34 tff(13932,plain,
% 8.86/6.34 (xuntil6(s274) | (~until5(s274))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11888, 36, 13931])).
% 8.86/6.34 tff(13933,plain,
% 8.86/6.34 (xuntil6(s274)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13932, 13930])).
% 8.86/6.34 tff(13934,plain,
% 8.86/6.34 (until5(s275)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11894, 13933])).
% 8.86/6.34 tff(13935,plain,
% 8.86/6.34 (~node4(s275)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11898, 22, 13866])).
% 8.86/6.34 tff(13936,plain,
% 8.86/6.34 (xuntil6(s275) | (~until5(s275))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11905, 36, 13935])).
% 8.86/6.34 tff(13937,plain,
% 8.86/6.34 (xuntil6(s275)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13936, 13934])).
% 8.86/6.34 tff(13938,plain,
% 8.86/6.34 (until5(s276)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11911, 13937])).
% 8.86/6.34 tff(13939,plain,
% 8.86/6.34 (~node4(s276)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11915, 22, 13865])).
% 8.86/6.34 tff(13940,plain,
% 8.86/6.34 (xuntil6(s276) | (~until5(s276))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11922, 36, 13939])).
% 8.86/6.34 tff(13941,plain,
% 8.86/6.34 (xuntil6(s276)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13940, 13938])).
% 8.86/6.34 tff(13942,plain,
% 8.86/6.34 (until5(s277)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11928, 13941])).
% 8.86/6.34 tff(13943,plain,
% 8.86/6.34 (~node4(s277)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11932, 22, 13864])).
% 8.86/6.34 tff(13944,plain,
% 8.86/6.34 (xuntil6(s277) | (~until5(s277))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11939, 36, 13943])).
% 8.86/6.34 tff(13945,plain,
% 8.86/6.34 (xuntil6(s277)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13944, 13942])).
% 8.86/6.34 tff(13946,plain,
% 8.86/6.34 (until5(s278)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11945, 13945])).
% 8.86/6.34 tff(13947,plain,
% 8.86/6.34 (~node4(s278)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11949, 22, 13863])).
% 8.86/6.34 tff(13948,plain,
% 8.86/6.34 (xuntil6(s278) | (~until5(s278))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11956, 36, 13947])).
% 8.86/6.34 tff(13949,plain,
% 8.86/6.34 (xuntil6(s278)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13948, 13946])).
% 8.86/6.34 tff(13950,plain,
% 8.86/6.34 (until5(s279)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11962, 13949])).
% 8.86/6.34 tff(13951,plain,
% 8.86/6.34 (~node4(s279)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11966, 22, 13862])).
% 8.86/6.34 tff(13952,plain,
% 8.86/6.34 (xuntil6(s279) | (~until5(s279))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11973, 36, 13951])).
% 8.86/6.34 tff(13953,plain,
% 8.86/6.34 (xuntil6(s279)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13952, 13950])).
% 8.86/6.34 tff(13954,plain,
% 8.86/6.34 (until5(s280)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11979, 13953])).
% 8.86/6.34 tff(13955,plain,
% 8.86/6.34 (~node4(s280)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11983, 22, 13861])).
% 8.86/6.34 tff(13956,plain,
% 8.86/6.34 (xuntil6(s280) | (~until5(s280))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11990, 36, 13955])).
% 8.86/6.34 tff(13957,plain,
% 8.86/6.34 (xuntil6(s280)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13956, 13954])).
% 8.86/6.34 tff(13958,plain,
% 8.86/6.34 (until5(s281)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[11996, 13957])).
% 8.86/6.34 tff(13959,plain,
% 8.86/6.34 (~node4(s281)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12000, 22, 13860])).
% 8.86/6.34 tff(13960,plain,
% 8.86/6.34 (xuntil6(s281) | (~until5(s281))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12007, 36, 13959])).
% 8.86/6.34 tff(13961,plain,
% 8.86/6.34 (xuntil6(s281)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13960, 13958])).
% 8.86/6.34 tff(13962,plain,
% 8.86/6.34 (until5(s282)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12013, 13961])).
% 8.86/6.34 tff(13963,plain,
% 8.86/6.34 (~node4(s282)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12017, 22, 13859])).
% 8.86/6.34 tff(13964,plain,
% 8.86/6.34 (xuntil6(s282) | (~until5(s282))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12024, 36, 13963])).
% 8.86/6.34 tff(13965,plain,
% 8.86/6.34 (xuntil6(s282)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13964, 13962])).
% 8.86/6.34 tff(13966,plain,
% 8.86/6.34 (until5(s283)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12030, 13965])).
% 8.86/6.34 tff(13967,plain,
% 8.86/6.34 (~node4(s283)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12034, 22, 13858])).
% 8.86/6.34 tff(13968,plain,
% 8.86/6.34 (xuntil6(s283) | (~until5(s283))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12041, 36, 13967])).
% 8.86/6.34 tff(13969,plain,
% 8.86/6.34 (xuntil6(s283)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13968, 13966])).
% 8.86/6.34 tff(13970,plain,
% 8.86/6.34 (until5(s284)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12047, 13969])).
% 8.86/6.34 tff(13971,plain,
% 8.86/6.34 (~node4(s284)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12051, 22, 13857])).
% 8.86/6.34 tff(13972,plain,
% 8.86/6.34 (xuntil6(s284) | (~until5(s284))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12058, 36, 13971])).
% 8.86/6.34 tff(13973,plain,
% 8.86/6.34 (xuntil6(s284)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13972, 13970])).
% 8.86/6.34 tff(13974,plain,
% 8.86/6.34 (until5(s285)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12064, 13973])).
% 8.86/6.34 tff(13975,plain,
% 8.86/6.34 (~node4(s285)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12068, 22, 13856])).
% 8.86/6.34 tff(13976,plain,
% 8.86/6.34 (xuntil6(s285) | (~until5(s285))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12075, 36, 13975])).
% 8.86/6.34 tff(13977,plain,
% 8.86/6.34 (xuntil6(s285)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13976, 13974])).
% 8.86/6.34 tff(13978,plain,
% 8.86/6.34 (until5(s286)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12081, 13977])).
% 8.86/6.34 tff(13979,plain,
% 8.86/6.34 (~node4(s286)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12085, 22, 13855])).
% 8.86/6.34 tff(13980,plain,
% 8.86/6.34 (xuntil6(s286) | (~until5(s286))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12092, 36, 13979])).
% 8.86/6.34 tff(13981,plain,
% 8.86/6.34 (xuntil6(s286)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13980, 13978])).
% 8.86/6.34 tff(13982,plain,
% 8.86/6.34 (until5(s287)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12098, 13981])).
% 8.86/6.34 tff(13983,plain,
% 8.86/6.34 (~node4(s287)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12102, 22, 13854])).
% 8.86/6.34 tff(13984,plain,
% 8.86/6.34 (xuntil6(s287) | (~until5(s287))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12109, 36, 13983])).
% 8.86/6.34 tff(13985,plain,
% 8.86/6.34 (xuntil6(s287)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13984, 13982])).
% 8.86/6.34 tff(13986,plain,
% 8.86/6.34 (until5(s288)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12115, 13985])).
% 8.86/6.34 tff(13987,plain,
% 8.86/6.34 (~node4(s288)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12119, 22, 13853])).
% 8.86/6.34 tff(13988,plain,
% 8.86/6.34 (xuntil6(s288) | (~until5(s288))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12126, 36, 13987])).
% 8.86/6.34 tff(13989,plain,
% 8.86/6.34 (xuntil6(s288)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13988, 13986])).
% 8.86/6.34 tff(13990,plain,
% 8.86/6.34 (until5(s289)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12132, 13989])).
% 8.86/6.34 tff(13991,plain,
% 8.86/6.34 (~node4(s289)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12136, 22, 13852])).
% 8.86/6.34 tff(13992,plain,
% 8.86/6.34 (xuntil6(s289) | (~until5(s289))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12143, 36, 13991])).
% 8.86/6.34 tff(13993,plain,
% 8.86/6.34 (xuntil6(s289)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13992, 13990])).
% 8.86/6.34 tff(13994,plain,
% 8.86/6.34 (until5(s290)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12149, 13993])).
% 8.86/6.34 tff(13995,plain,
% 8.86/6.34 (~node4(s290)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12153, 22, 13851])).
% 8.86/6.34 tff(13996,plain,
% 8.86/6.34 (xuntil6(s290) | (~until5(s290))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12160, 36, 13995])).
% 8.86/6.34 tff(13997,plain,
% 8.86/6.34 (xuntil6(s290)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13996, 13994])).
% 8.86/6.34 tff(13998,plain,
% 8.86/6.34 (until5(s291)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12166, 13997])).
% 8.86/6.34 tff(13999,plain,
% 8.86/6.34 (~node4(s291)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12170, 22, 13850])).
% 8.86/6.34 tff(14000,plain,
% 8.86/6.34 (xuntil6(s291) | (~until5(s291))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12177, 36, 13999])).
% 8.86/6.34 tff(14001,plain,
% 8.86/6.34 (xuntil6(s291)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14000, 13998])).
% 8.86/6.34 tff(14002,plain,
% 8.86/6.34 ($false),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12183, 14001, 13849])).
% 8.86/6.34 tff(14003,plain,(always3(s322) | (~until5(s261)) | xuntil6(s322)), inference(lemma,lemma(discharge,[]))).
% 8.86/6.34 tff(14004,plain,
% 8.86/6.34 (always3(s322)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14003, 13695, 11657])).
% 8.86/6.34 tff(14005,plain,
% 8.86/6.34 (always3(s323)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12720, 14004])).
% 8.86/6.34 tff(14006,plain,
% 8.86/6.34 (~m_main_v_state(s323, c_busy)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[13664, 170, 14005])).
% 8.86/6.34 tff(14007,plain,
% 8.86/6.34 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s322)) | (~m_main_v_state(s322, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s322)) | (~m_main_v_state(s322, c_busy)))),
% 8.86/6.34 inference(rewrite,[status(thm)],[])).
% 8.86/6.34 tff(14008,plain,
% 8.86/6.34 (((~m_main_v_state(s322, c_busy)) | (~always3(s322))) <=> ((~always3(s322)) | (~m_main_v_state(s322, c_busy)))),
% 8.86/6.34 inference(rewrite,[status(thm)],[])).
% 8.86/6.34 tff(14009,plain,
% 8.86/6.34 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s322, c_busy)) | (~always3(s322)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s322)) | (~m_main_v_state(s322, c_busy))))),
% 8.86/6.34 inference(monotonicity,[status(thm)],[14008])).
% 8.86/6.34 tff(14010,plain,
% 8.86/6.34 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s322, c_busy)) | (~always3(s322)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s322)) | (~m_main_v_state(s322, c_busy)))),
% 8.86/6.34 inference(transitivity,[status(thm)],[14009, 14007])).
% 8.86/6.34 tff(14011,plain,
% 8.86/6.34 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s322, c_busy)) | (~always3(s322)))),
% 8.86/6.34 inference(quant_inst,[status(thm)],[])).
% 8.86/6.34 tff(14012,plain,
% 8.86/6.34 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s322)) | (~m_main_v_state(s322, c_busy))),
% 8.86/6.34 inference(modus_ponens,[status(thm)],[14011, 14010])).
% 8.86/6.34 tff(14013,plain,
% 8.86/6.34 (~m_main_v_state(s322, c_busy)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14012, 170, 14004])).
% 8.86/6.34 tff(14014,plain,
% 8.86/6.34 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s322, c_busy) | m_main_v_state(s322, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s322, c_busy) | m_main_v_state(s322, c_ready))),
% 8.86/6.34 inference(rewrite,[status(thm)],[])).
% 8.86/6.34 tff(14015,plain,
% 8.86/6.34 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s322, c_busy) | m_main_v_state(s322, c_ready))),
% 8.86/6.34 inference(quant_inst,[status(thm)],[])).
% 8.86/6.34 tff(14016,plain,
% 8.86/6.34 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s322, c_busy) | m_main_v_state(s322, c_ready)),
% 8.86/6.34 inference(modus_ponens,[status(thm)],[14015, 14014])).
% 8.86/6.34 tff(14017,plain,
% 8.86/6.34 (m_main_v_state(s322, c_ready)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14016, 213, 14013])).
% 8.86/6.34 tff(14018,plain,
% 8.86/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s322, s323)) | node2(s322, s323))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s322, s323)) | node2(s322, s323))),
% 8.86/6.34 inference(rewrite,[status(thm)],[])).
% 8.86/6.34 tff(14019,plain,
% 8.86/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s322, s323)) | node2(s322, s323))),
% 8.86/6.34 inference(quant_inst,[status(thm)],[])).
% 8.86/6.34 tff(14020,plain,
% 8.86/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s322, s323)) | node2(s322, s323)),
% 8.86/6.34 inference(modus_ponens,[status(thm)],[14019, 14018])).
% 8.86/6.34 tff(14021,plain,
% 8.86/6.34 (node2(s322, s323)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14020, 7, 12716])).
% 8.86/6.34 tff(14022,plain,
% 8.86/6.34 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s322, c_ready)) | (~node2(s322, s323)) | m_main_v_state(s323, c_busy) | (~m_main_v_request(s322)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s322, c_ready)) | (~node2(s322, s323)) | m_main_v_state(s323, c_busy) | (~m_main_v_request(s322)))),
% 8.86/6.34 inference(rewrite,[status(thm)],[])).
% 8.86/6.34 tff(14023,plain,
% 8.86/6.34 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s322, c_ready)) | (~node2(s322, s323)) | m_main_v_state(s323, c_busy) | (~m_main_v_request(s322)))),
% 8.86/6.34 inference(quant_inst,[status(thm)],[])).
% 8.86/6.34 tff(14024,plain,
% 8.86/6.34 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s322, c_ready)) | (~node2(s322, s323)) | m_main_v_state(s323, c_busy) | (~m_main_v_request(s322))),
% 8.86/6.34 inference(modus_ponens,[status(thm)],[14023, 14022])).
% 8.86/6.34 tff(14025,plain,
% 8.86/6.34 ((~m_main_v_state(s322, c_ready)) | m_main_v_state(s323, c_busy) | (~m_main_v_request(s322))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14024, 191, 14021])).
% 8.86/6.34 tff(14026,plain,
% 8.86/6.34 (~m_main_v_request(s322)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14025, 14017, 14006])).
% 8.86/6.34 tff(14027,plain,
% 8.86/6.34 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s322) | (~node4(s322)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s322) | (~node4(s322)))),
% 8.86/6.34 inference(rewrite,[status(thm)],[])).
% 8.86/6.34 tff(14028,plain,
% 8.86/6.34 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s322) | (~node4(s322)))),
% 8.86/6.34 inference(quant_inst,[status(thm)],[])).
% 8.86/6.34 tff(14029,plain,
% 8.86/6.34 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s322) | (~node4(s322))),
% 8.86/6.34 inference(modus_ponens,[status(thm)],[14028, 14027])).
% 8.86/6.34 tff(14030,plain,
% 8.86/6.34 (~node4(s322)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14029, 154, 14026])).
% 8.86/6.34 tff(14031,plain,
% 8.86/6.34 (node4(s322) | (~until5(s322))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12731, 36, 13695])).
% 8.86/6.34 tff(14032,plain,
% 8.86/6.34 (~until5(s322)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14031, 14030])).
% 8.86/6.34 tff(14033,plain,
% 8.86/6.34 (~xuntil6(s321)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12740, 14032])).
% 8.86/6.34 tff(14034,assumption,(~always3(s321)), introduced(assumption)).
% 8.86/6.34 tff(14035,plain,
% 8.86/6.34 (~always3(s320)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12778, 14034])).
% 8.86/6.34 tff(14036,plain,
% 8.86/6.34 (~always3(s319)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12807, 14035])).
% 8.86/6.34 tff(14037,plain,
% 8.86/6.34 (~always3(s318)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12836, 14036])).
% 8.86/6.34 tff(14038,plain,
% 8.86/6.34 (~always3(s317)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12865, 14037])).
% 8.86/6.34 tff(14039,plain,
% 8.86/6.34 (~always3(s316)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12894, 14038])).
% 8.86/6.34 tff(14040,plain,
% 8.86/6.34 (~always3(s315)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5133, 14039])).
% 8.86/6.34 tff(14041,plain,
% 8.86/6.34 (~always3(s314)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5145, 14040])).
% 8.86/6.34 tff(14042,plain,
% 8.86/6.34 (~always3(s313)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5157, 14041])).
% 8.86/6.34 tff(14043,plain,
% 8.86/6.34 (~always3(s312)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5169, 14042])).
% 8.86/6.34 tff(14044,plain,
% 8.86/6.34 (~node4(s312)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12527, 22, 14043])).
% 8.86/6.34 tff(14045,plain,
% 8.86/6.34 (~always3(s311)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5181, 14043])).
% 8.86/6.34 tff(14046,plain,
% 8.86/6.34 (~node4(s311)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12510, 22, 14045])).
% 8.86/6.34 tff(14047,assumption,(until5(s311)), introduced(assumption)).
% 8.86/6.34 tff(14048,plain,
% 8.86/6.34 (xuntil6(s311) | node4(s311)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12517, 36, 14047])).
% 8.86/6.34 tff(14049,plain,
% 8.86/6.34 (xuntil6(s311)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14048, 14046])).
% 8.86/6.34 tff(14050,plain,
% 8.86/6.34 (until5(s312)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12523, 14049])).
% 8.86/6.34 tff(14051,plain,
% 8.86/6.34 (xuntil6(s312)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12534, 36, 14050, 14044])).
% 8.86/6.34 tff(14052,plain,
% 8.86/6.34 (until5(s313)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12540, 14051])).
% 8.86/6.34 tff(14053,plain,
% 8.86/6.34 (~node4(s313)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12544, 22, 14042])).
% 8.86/6.34 tff(14054,plain,
% 8.86/6.34 (xuntil6(s313) | (~until5(s313))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12551, 36, 14053])).
% 8.86/6.34 tff(14055,plain,
% 8.86/6.34 (xuntil6(s313)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14054, 14052])).
% 8.86/6.34 tff(14056,plain,
% 8.86/6.34 (until5(s314)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12557, 14055])).
% 8.86/6.34 tff(14057,plain,
% 8.86/6.34 (~node4(s314)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12561, 22, 14041])).
% 8.86/6.34 tff(14058,plain,
% 8.86/6.34 (xuntil6(s314) | (~until5(s314))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12568, 36, 14057])).
% 8.86/6.34 tff(14059,plain,
% 8.86/6.34 (xuntil6(s314)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14058, 14056])).
% 8.86/6.34 tff(14060,plain,
% 8.86/6.34 (until5(s315)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12574, 14059])).
% 8.86/6.34 tff(14061,plain,
% 8.86/6.34 (~node4(s315)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12916, 22, 14040])).
% 8.86/6.34 tff(14062,plain,
% 8.86/6.34 (xuntil6(s315) | (~until5(s315))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12923, 36, 14061])).
% 8.86/6.34 tff(14063,plain,
% 8.86/6.34 (xuntil6(s315)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14062, 14060])).
% 8.86/6.34 tff(14064,plain,
% 8.86/6.34 (until5(s316)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12911, 14063])).
% 8.86/6.34 tff(14065,plain,
% 8.86/6.34 (~node4(s316)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12898, 22, 14039])).
% 8.86/6.34 tff(14066,plain,
% 8.86/6.34 (xuntil6(s316) | (~until5(s316))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12905, 36, 14065])).
% 8.86/6.34 tff(14067,plain,
% 8.86/6.34 (xuntil6(s316)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14066, 14064])).
% 8.86/6.34 tff(14068,plain,
% 8.86/6.34 (until5(s317)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12885, 14067])).
% 8.86/6.34 tff(14069,plain,
% 8.86/6.34 (~node4(s317)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12869, 22, 14038])).
% 8.86/6.34 tff(14070,plain,
% 8.86/6.34 (xuntil6(s317) | (~until5(s317))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12876, 36, 14069])).
% 8.86/6.34 tff(14071,plain,
% 8.86/6.34 (xuntil6(s317)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14070, 14068])).
% 8.86/6.34 tff(14072,plain,
% 8.86/6.34 (until5(s318)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12856, 14071])).
% 8.86/6.34 tff(14073,plain,
% 8.86/6.34 (~node4(s318)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12840, 22, 14037])).
% 8.86/6.34 tff(14074,plain,
% 8.86/6.34 (xuntil6(s318) | (~until5(s318))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12847, 36, 14073])).
% 8.86/6.34 tff(14075,plain,
% 8.86/6.34 (xuntil6(s318)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14074, 14072])).
% 8.86/6.34 tff(14076,plain,
% 8.86/6.34 (until5(s319)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12827, 14075])).
% 8.86/6.34 tff(14077,plain,
% 8.86/6.34 (~node4(s319)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12811, 22, 14036])).
% 8.86/6.34 tff(14078,plain,
% 8.86/6.34 (xuntil6(s319) | (~until5(s319))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12818, 36, 14077])).
% 8.86/6.34 tff(14079,plain,
% 8.86/6.34 (xuntil6(s319)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14078, 14076])).
% 8.86/6.34 tff(14080,plain,
% 8.86/6.34 (until5(s320)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12798, 14079])).
% 8.86/6.34 tff(14081,plain,
% 8.86/6.34 (~node4(s320)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12782, 22, 14035])).
% 8.86/6.34 tff(14082,plain,
% 8.86/6.34 (xuntil6(s320) | (~until5(s320))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12789, 36, 14081])).
% 8.86/6.34 tff(14083,plain,
% 8.86/6.34 (xuntil6(s320)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14082, 14080])).
% 8.86/6.34 tff(14084,plain,
% 8.86/6.34 (until5(s321)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12769, 14083])).
% 8.86/6.34 tff(14085,assumption,(~xuntil6(s321)), introduced(assumption)).
% 8.86/6.34 tff(14086,plain,
% 8.86/6.34 (node4(s321) | (~until5(s321))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12760, 36, 14085])).
% 8.86/6.34 tff(14087,plain,
% 8.86/6.34 (node4(s321)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14086, 14084])).
% 8.86/6.34 tff(14088,plain,
% 8.86/6.34 ($false),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12753, 22, 14034, 14087])).
% 8.86/6.34 tff(14089,plain,(always3(s321) | xuntil6(s321) | (~until5(s311))), inference(lemma,lemma(discharge,[]))).
% 8.86/6.34 tff(14090,plain,
% 8.86/6.34 (always3(s321)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14089, 14033, 12507])).
% 8.86/6.34 tff(14091,plain,
% 8.86/6.34 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s321)) | (~m_main_v_state(s321, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s321)) | (~m_main_v_state(s321, c_busy)))),
% 8.86/6.34 inference(rewrite,[status(thm)],[])).
% 8.86/6.34 tff(14092,plain,
% 8.86/6.34 (((~m_main_v_state(s321, c_busy)) | (~always3(s321))) <=> ((~always3(s321)) | (~m_main_v_state(s321, c_busy)))),
% 8.86/6.34 inference(rewrite,[status(thm)],[])).
% 8.86/6.34 tff(14093,plain,
% 8.86/6.34 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s321, c_busy)) | (~always3(s321)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s321)) | (~m_main_v_state(s321, c_busy))))),
% 8.86/6.34 inference(monotonicity,[status(thm)],[14092])).
% 8.86/6.34 tff(14094,plain,
% 8.86/6.34 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s321, c_busy)) | (~always3(s321)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s321)) | (~m_main_v_state(s321, c_busy)))),
% 8.86/6.34 inference(transitivity,[status(thm)],[14093, 14091])).
% 8.86/6.34 tff(14095,plain,
% 8.86/6.34 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s321, c_busy)) | (~always3(s321)))),
% 8.86/6.34 inference(quant_inst,[status(thm)],[])).
% 8.86/6.34 tff(14096,plain,
% 8.86/6.34 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s321)) | (~m_main_v_state(s321, c_busy))),
% 8.86/6.34 inference(modus_ponens,[status(thm)],[14095, 14094])).
% 8.86/6.34 tff(14097,plain,
% 8.86/6.34 (~m_main_v_state(s321, c_busy)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14096, 170, 14090])).
% 8.86/6.34 tff(14098,assumption,(~m_main_v_state(s321, c_busy)), introduced(assumption)).
% 8.86/6.34 tff(14099,assumption,(node4(s320)), introduced(assumption)).
% 8.86/6.34 tff(14100,plain,
% 8.86/6.34 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s320) | (~node4(s320)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s320) | (~node4(s320)))),
% 8.86/6.34 inference(rewrite,[status(thm)],[])).
% 8.86/6.34 tff(14101,plain,
% 8.86/6.34 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s320) | (~node4(s320)))),
% 8.86/6.34 inference(quant_inst,[status(thm)],[])).
% 8.86/6.34 tff(14102,plain,
% 8.86/6.34 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s320) | (~node4(s320))),
% 8.86/6.34 inference(modus_ponens,[status(thm)],[14101, 14100])).
% 8.86/6.34 tff(14103,plain,
% 8.86/6.34 (m_main_v_request(s320)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14102, 154, 14099])).
% 8.86/6.34 tff(14104,plain,
% 8.86/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s320, s321)) | node2(s320, s321))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s320, s321)) | node2(s320, s321))),
% 8.86/6.34 inference(rewrite,[status(thm)],[])).
% 8.86/6.34 tff(14105,plain,
% 8.86/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s320, s321)) | node2(s320, s321))),
% 8.86/6.34 inference(quant_inst,[status(thm)],[])).
% 8.86/6.34 tff(14106,plain,
% 8.86/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s320, s321)) | node2(s320, s321)),
% 8.86/6.34 inference(modus_ponens,[status(thm)],[14105, 14104])).
% 8.86/6.34 tff(14107,plain,
% 8.86/6.34 (node2(s320, s321)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14106, 7, 12774])).
% 8.86/6.34 tff(14108,plain,
% 8.86/6.34 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s320, c_ready)) | (~node2(s320, s321)) | m_main_v_state(s321, c_busy) | (~m_main_v_request(s320)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s320, c_ready)) | (~node2(s320, s321)) | m_main_v_state(s321, c_busy) | (~m_main_v_request(s320)))),
% 8.86/6.34 inference(rewrite,[status(thm)],[])).
% 8.86/6.34 tff(14109,plain,
% 8.86/6.34 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s320, c_ready)) | (~node2(s320, s321)) | m_main_v_state(s321, c_busy) | (~m_main_v_request(s320)))),
% 8.86/6.34 inference(quant_inst,[status(thm)],[])).
% 8.86/6.34 tff(14110,plain,
% 8.86/6.34 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s320, c_ready)) | (~node2(s320, s321)) | m_main_v_state(s321, c_busy) | (~m_main_v_request(s320))),
% 8.86/6.34 inference(modus_ponens,[status(thm)],[14109, 14108])).
% 8.86/6.34 tff(14111,plain,
% 8.86/6.34 ((~m_main_v_state(s320, c_ready)) | m_main_v_state(s321, c_busy) | (~m_main_v_request(s320))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14110, 191, 14107])).
% 8.86/6.34 tff(14112,plain,
% 8.86/6.34 (~m_main_v_state(s320, c_ready)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14111, 14103, 14098])).
% 8.86/6.34 tff(14113,plain,
% 8.86/6.34 (always3(s320)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12782, 22, 14099])).
% 8.86/6.34 tff(14114,plain,
% 8.86/6.34 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s320)) | (~m_main_v_state(s320, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s320)) | (~m_main_v_state(s320, c_busy)))),
% 8.86/6.34 inference(rewrite,[status(thm)],[])).
% 8.86/6.34 tff(14115,plain,
% 8.86/6.34 (((~m_main_v_state(s320, c_busy)) | (~always3(s320))) <=> ((~always3(s320)) | (~m_main_v_state(s320, c_busy)))),
% 8.86/6.34 inference(rewrite,[status(thm)],[])).
% 8.86/6.34 tff(14116,plain,
% 8.86/6.34 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s320, c_busy)) | (~always3(s320)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s320)) | (~m_main_v_state(s320, c_busy))))),
% 8.86/6.34 inference(monotonicity,[status(thm)],[14115])).
% 8.86/6.34 tff(14117,plain,
% 8.86/6.34 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s320, c_busy)) | (~always3(s320)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s320)) | (~m_main_v_state(s320, c_busy)))),
% 8.86/6.34 inference(transitivity,[status(thm)],[14116, 14114])).
% 8.86/6.34 tff(14118,plain,
% 8.86/6.34 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s320, c_busy)) | (~always3(s320)))),
% 8.86/6.34 inference(quant_inst,[status(thm)],[])).
% 8.86/6.34 tff(14119,plain,
% 8.86/6.34 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s320)) | (~m_main_v_state(s320, c_busy))),
% 8.86/6.34 inference(modus_ponens,[status(thm)],[14118, 14117])).
% 8.86/6.34 tff(14120,plain,
% 8.86/6.34 (~m_main_v_state(s320, c_busy)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14119, 170, 14113])).
% 8.86/6.34 tff(14121,plain,
% 8.86/6.34 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s320, c_busy) | m_main_v_state(s320, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s320, c_busy) | m_main_v_state(s320, c_ready))),
% 8.86/6.34 inference(rewrite,[status(thm)],[])).
% 8.86/6.34 tff(14122,plain,
% 8.86/6.34 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s320, c_busy) | m_main_v_state(s320, c_ready))),
% 8.86/6.34 inference(quant_inst,[status(thm)],[])).
% 8.86/6.34 tff(14123,plain,
% 8.86/6.34 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s320, c_busy) | m_main_v_state(s320, c_ready)),
% 8.86/6.34 inference(modus_ponens,[status(thm)],[14122, 14121])).
% 8.86/6.34 tff(14124,plain,
% 8.86/6.34 ($false),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14123, 213, 14120, 14112])).
% 8.86/6.34 tff(14125,plain,((~node4(s320)) | m_main_v_state(s321, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.86/6.34 tff(14126,plain,
% 8.86/6.34 (~node4(s320)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14125, 14097])).
% 8.86/6.34 tff(14127,plain,
% 8.86/6.34 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s321, c_busy) | m_main_v_state(s321, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s321, c_busy) | m_main_v_state(s321, c_ready))),
% 8.86/6.34 inference(rewrite,[status(thm)],[])).
% 8.86/6.34 tff(14128,plain,
% 8.86/6.34 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s321, c_busy) | m_main_v_state(s321, c_ready))),
% 8.86/6.34 inference(quant_inst,[status(thm)],[])).
% 8.86/6.34 tff(14129,plain,
% 8.86/6.34 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s321, c_busy) | m_main_v_state(s321, c_ready)),
% 8.86/6.34 inference(modus_ponens,[status(thm)],[14128, 14127])).
% 8.86/6.34 tff(14130,plain,
% 8.86/6.34 (m_main_v_state(s321, c_ready)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14129, 213, 14097])).
% 8.86/6.34 tff(14131,plain,
% 8.86/6.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s321, s322)) | node2(s321, s322))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s321, s322)) | node2(s321, s322))),
% 8.86/6.34 inference(rewrite,[status(thm)],[])).
% 8.86/6.34 tff(14132,plain,
% 8.86/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s321, s322)) | node2(s321, s322))),
% 8.86/6.34 inference(quant_inst,[status(thm)],[])).
% 8.86/6.34 tff(14133,plain,
% 8.86/6.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s321, s322)) | node2(s321, s322)),
% 8.86/6.34 inference(modus_ponens,[status(thm)],[14132, 14131])).
% 8.86/6.34 tff(14134,plain,
% 8.86/6.34 (node2(s321, s322)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14133, 7, 12745])).
% 8.86/6.34 tff(14135,plain,
% 8.86/6.34 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s321, c_ready)) | (~node2(s321, s322)) | m_main_v_state(s322, c_busy) | (~m_main_v_request(s321)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s321, c_ready)) | (~node2(s321, s322)) | m_main_v_state(s322, c_busy) | (~m_main_v_request(s321)))),
% 8.86/6.34 inference(rewrite,[status(thm)],[])).
% 8.86/6.34 tff(14136,plain,
% 8.86/6.34 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s321, c_ready)) | (~node2(s321, s322)) | m_main_v_state(s322, c_busy) | (~m_main_v_request(s321)))),
% 8.86/6.34 inference(quant_inst,[status(thm)],[])).
% 8.86/6.34 tff(14137,plain,
% 8.86/6.34 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s321, c_ready)) | (~node2(s321, s322)) | m_main_v_state(s322, c_busy) | (~m_main_v_request(s321))),
% 8.86/6.34 inference(modus_ponens,[status(thm)],[14136, 14135])).
% 8.86/6.34 tff(14138,plain,
% 8.86/6.34 ((~m_main_v_state(s321, c_ready)) | m_main_v_state(s322, c_busy) | (~m_main_v_request(s321))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14137, 191, 14134])).
% 8.86/6.34 tff(14139,plain,
% 8.86/6.34 (~m_main_v_request(s321)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14138, 14130, 14013])).
% 8.86/6.34 tff(14140,plain,
% 8.86/6.34 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s321) | (~node4(s321)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s321) | (~node4(s321)))),
% 8.86/6.34 inference(rewrite,[status(thm)],[])).
% 8.86/6.34 tff(14141,plain,
% 8.86/6.34 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s321) | (~node4(s321)))),
% 8.86/6.34 inference(quant_inst,[status(thm)],[])).
% 8.86/6.34 tff(14142,plain,
% 8.86/6.34 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s321) | (~node4(s321))),
% 8.86/6.34 inference(modus_ponens,[status(thm)],[14141, 14140])).
% 8.86/6.34 tff(14143,plain,
% 8.86/6.34 (~node4(s321)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14142, 154, 14139])).
% 8.86/6.34 tff(14144,plain,
% 8.86/6.34 (node4(s321) | (~until5(s321))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12760, 36, 14033])).
% 8.86/6.34 tff(14145,plain,
% 8.86/6.34 (~until5(s321)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14144, 14143])).
% 8.86/6.34 tff(14146,plain,
% 8.86/6.34 (~xuntil6(s320)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12769, 14145])).
% 8.86/6.34 tff(14147,plain,
% 8.86/6.34 (~until5(s320)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12789, 36, 14146, 14126])).
% 8.86/6.34 tff(14148,plain,
% 8.86/6.34 (~xuntil6(s319)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12798, 14147])).
% 8.86/6.34 tff(14149,assumption,(~always3(s319)), introduced(assumption)).
% 8.86/6.34 tff(14150,plain,
% 8.86/6.34 (~always3(s318)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12836, 14149])).
% 8.86/6.34 tff(14151,plain,
% 8.86/6.34 (~node4(s318)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12840, 22, 14150])).
% 8.86/6.34 tff(14152,plain,
% 8.86/6.34 (~node4(s319)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12811, 22, 14149])).
% 8.86/6.34 tff(14153,assumption,(~xuntil6(s319)), introduced(assumption)).
% 8.86/6.34 tff(14154,plain,
% 8.86/6.34 (node4(s319) | (~until5(s319))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12818, 36, 14153])).
% 8.86/6.34 tff(14155,plain,
% 8.86/6.34 (~until5(s319)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14154, 14152])).
% 8.86/6.34 tff(14156,plain,
% 8.86/6.34 (~xuntil6(s318)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12827, 14155])).
% 8.86/6.34 tff(14157,plain,
% 8.86/6.34 (~until5(s318)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12847, 36, 14156, 14151])).
% 8.86/6.34 tff(14158,plain,
% 8.86/6.34 (~xuntil6(s317)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12856, 14157])).
% 8.86/6.34 tff(14159,plain,
% 8.86/6.34 (~always3(s317)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12865, 14150])).
% 8.86/6.34 tff(14160,plain,
% 8.86/6.34 (~node4(s317)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12869, 22, 14159])).
% 8.86/6.34 tff(14161,plain,
% 8.86/6.34 (xuntil6(s317) | (~until5(s317))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12876, 36, 14160])).
% 8.86/6.34 tff(14162,plain,
% 8.86/6.34 (~until5(s317)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14161, 14158])).
% 8.86/6.34 tff(14163,plain,
% 8.86/6.34 (~xuntil6(s316)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12885, 14162])).
% 8.86/6.34 tff(14164,plain,
% 8.86/6.34 (~always3(s316)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12894, 14159])).
% 8.86/6.34 tff(14165,plain,
% 8.86/6.34 (~node4(s316)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12898, 22, 14164])).
% 8.86/6.34 tff(14166,plain,
% 8.86/6.34 (xuntil6(s316) | (~until5(s316))),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12905, 36, 14165])).
% 8.86/6.34 tff(14167,plain,
% 8.86/6.34 (~until5(s316)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14166, 14163])).
% 8.86/6.34 tff(14168,plain,
% 8.86/6.34 (~xuntil6(s315)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12911, 14167])).
% 8.86/6.34 tff(14169,plain,
% 8.86/6.34 (~always3(s315)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5133, 14164])).
% 8.86/6.34 tff(14170,plain,
% 8.86/6.34 (~always3(s314)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5145, 14169])).
% 8.86/6.34 tff(14171,plain,
% 8.86/6.34 (~always3(s313)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5157, 14170])).
% 8.86/6.34 tff(14172,plain,
% 8.86/6.34 (~always3(s312)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5169, 14171])).
% 8.86/6.34 tff(14173,plain,
% 8.86/6.34 (~node4(s312)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12527, 22, 14172])).
% 8.86/6.34 tff(14174,plain,
% 8.86/6.34 (~always3(s311)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[5181, 14172])).
% 8.86/6.34 tff(14175,plain,
% 8.86/6.34 (~node4(s311)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12510, 22, 14174])).
% 8.86/6.34 tff(14176,plain,
% 8.86/6.34 (xuntil6(s311)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[14048, 14175])).
% 8.86/6.34 tff(14177,plain,
% 8.86/6.34 (until5(s312)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12523, 14176])).
% 8.86/6.34 tff(14178,plain,
% 8.86/6.34 (xuntil6(s312)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12534, 36, 14177, 14173])).
% 8.86/6.34 tff(14179,plain,
% 8.86/6.34 (until5(s313)),
% 8.86/6.34 inference(unit_resolution,[status(thm)],[12540, 14178])).
% 8.86/6.35 tff(14180,plain,
% 8.86/6.35 (~node4(s313)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12544, 22, 14171])).
% 8.86/6.35 tff(14181,plain,
% 8.86/6.35 (xuntil6(s313) | (~until5(s313))),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12551, 36, 14180])).
% 8.86/6.35 tff(14182,plain,
% 8.86/6.35 (xuntil6(s313)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14181, 14179])).
% 8.86/6.35 tff(14183,plain,
% 8.86/6.35 (until5(s314)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12557, 14182])).
% 8.86/6.35 tff(14184,plain,
% 8.86/6.35 (~node4(s314)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12561, 22, 14170])).
% 8.86/6.35 tff(14185,plain,
% 8.86/6.35 (xuntil6(s314) | (~until5(s314))),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12568, 36, 14184])).
% 8.86/6.35 tff(14186,plain,
% 8.86/6.35 (xuntil6(s314)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14185, 14183])).
% 8.86/6.35 tff(14187,plain,
% 8.86/6.35 (until5(s315)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12574, 14186])).
% 8.86/6.35 tff(14188,plain,
% 8.86/6.35 (~node4(s315)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12916, 22, 14169])).
% 8.86/6.35 tff(14189,plain,
% 8.86/6.35 (xuntil6(s315) | (~until5(s315))),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12923, 36, 14188])).
% 8.86/6.35 tff(14190,plain,
% 8.86/6.35 ($false),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14189, 14187, 14168])).
% 8.86/6.35 tff(14191,plain,(always3(s319) | (~until5(s311)) | xuntil6(s319)), inference(lemma,lemma(discharge,[]))).
% 8.86/6.35 tff(14192,plain,
% 8.86/6.35 (always3(s319)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14191, 14148, 12507])).
% 8.86/6.35 tff(14193,plain,
% 8.86/6.35 (always3(s320)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12807, 14192])).
% 8.86/6.35 tff(14194,plain,
% 8.86/6.35 (~m_main_v_state(s320, c_busy)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14119, 170, 14193])).
% 8.86/6.35 tff(14195,plain,
% 8.86/6.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s319)) | (~m_main_v_state(s319, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s319)) | (~m_main_v_state(s319, c_busy)))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14196,plain,
% 8.86/6.35 (((~m_main_v_state(s319, c_busy)) | (~always3(s319))) <=> ((~always3(s319)) | (~m_main_v_state(s319, c_busy)))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14197,plain,
% 8.86/6.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s319, c_busy)) | (~always3(s319)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s319)) | (~m_main_v_state(s319, c_busy))))),
% 8.86/6.35 inference(monotonicity,[status(thm)],[14196])).
% 8.86/6.35 tff(14198,plain,
% 8.86/6.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s319, c_busy)) | (~always3(s319)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s319)) | (~m_main_v_state(s319, c_busy)))),
% 8.86/6.35 inference(transitivity,[status(thm)],[14197, 14195])).
% 8.86/6.35 tff(14199,plain,
% 8.86/6.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s319, c_busy)) | (~always3(s319)))),
% 8.86/6.35 inference(quant_inst,[status(thm)],[])).
% 8.86/6.35 tff(14200,plain,
% 8.86/6.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s319)) | (~m_main_v_state(s319, c_busy))),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14199, 14198])).
% 8.86/6.35 tff(14201,plain,
% 8.86/6.35 (~m_main_v_state(s319, c_busy)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14200, 170, 14192])).
% 8.86/6.35 tff(14202,plain,
% 8.86/6.35 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s319, c_busy) | m_main_v_state(s319, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s319, c_busy) | m_main_v_state(s319, c_ready))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14203,plain,
% 8.86/6.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s319, c_busy) | m_main_v_state(s319, c_ready))),
% 8.86/6.35 inference(quant_inst,[status(thm)],[])).
% 8.86/6.35 tff(14204,plain,
% 8.86/6.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s319, c_busy) | m_main_v_state(s319, c_ready)),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14203, 14202])).
% 8.86/6.35 tff(14205,plain,
% 8.86/6.35 (m_main_v_state(s319, c_ready)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14204, 213, 14201])).
% 8.86/6.35 tff(14206,plain,
% 8.86/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s319, s320)) | node2(s319, s320))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s319, s320)) | node2(s319, s320))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14207,plain,
% 8.86/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s319, s320)) | node2(s319, s320))),
% 8.86/6.35 inference(quant_inst,[status(thm)],[])).
% 8.86/6.35 tff(14208,plain,
% 8.86/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s319, s320)) | node2(s319, s320)),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14207, 14206])).
% 8.86/6.35 tff(14209,plain,
% 8.86/6.35 (node2(s319, s320)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14208, 7, 12803])).
% 8.86/6.35 tff(14210,plain,
% 8.86/6.35 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s319, c_ready)) | (~node2(s319, s320)) | m_main_v_state(s320, c_busy) | (~m_main_v_request(s319)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s319, c_ready)) | (~node2(s319, s320)) | m_main_v_state(s320, c_busy) | (~m_main_v_request(s319)))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14211,plain,
% 8.86/6.35 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s319, c_ready)) | (~node2(s319, s320)) | m_main_v_state(s320, c_busy) | (~m_main_v_request(s319)))),
% 8.86/6.35 inference(quant_inst,[status(thm)],[])).
% 8.86/6.35 tff(14212,plain,
% 8.86/6.35 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s319, c_ready)) | (~node2(s319, s320)) | m_main_v_state(s320, c_busy) | (~m_main_v_request(s319))),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14211, 14210])).
% 8.86/6.35 tff(14213,plain,
% 8.86/6.35 ((~m_main_v_state(s319, c_ready)) | m_main_v_state(s320, c_busy) | (~m_main_v_request(s319))),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14212, 191, 14209])).
% 8.86/6.35 tff(14214,plain,
% 8.86/6.35 (~m_main_v_request(s319)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14213, 14205, 14194])).
% 8.86/6.35 tff(14215,plain,
% 8.86/6.35 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s319) | (~node4(s319)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s319) | (~node4(s319)))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14216,plain,
% 8.86/6.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s319) | (~node4(s319)))),
% 8.86/6.35 inference(quant_inst,[status(thm)],[])).
% 8.86/6.35 tff(14217,plain,
% 8.86/6.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s319) | (~node4(s319))),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14216, 14215])).
% 8.86/6.35 tff(14218,plain,
% 8.86/6.35 (~node4(s319)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14217, 154, 14214])).
% 8.86/6.35 tff(14219,plain,
% 8.86/6.35 (node4(s319) | (~until5(s319))),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12818, 36, 14148])).
% 8.86/6.35 tff(14220,plain,
% 8.86/6.35 (~until5(s319)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14219, 14218])).
% 8.86/6.35 tff(14221,plain,
% 8.86/6.35 (~xuntil6(s318)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12827, 14220])).
% 8.86/6.35 tff(14222,assumption,(~always3(s318)), introduced(assumption)).
% 8.86/6.35 tff(14223,plain,
% 8.86/6.35 (~always3(s317)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12865, 14222])).
% 8.86/6.35 tff(14224,plain,
% 8.86/6.35 (~always3(s316)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12894, 14223])).
% 8.86/6.35 tff(14225,plain,
% 8.86/6.35 (~node4(s316)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12898, 22, 14224])).
% 8.86/6.35 tff(14226,plain,
% 8.86/6.35 (~always3(s315)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[5133, 14224])).
% 8.86/6.35 tff(14227,plain,
% 8.86/6.35 (~node4(s315)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12916, 22, 14226])).
% 8.86/6.35 tff(14228,assumption,(until5(s315)), introduced(assumption)).
% 8.86/6.35 tff(14229,plain,
% 8.86/6.35 (xuntil6(s315) | node4(s315)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12923, 36, 14228])).
% 8.86/6.35 tff(14230,plain,
% 8.86/6.35 (xuntil6(s315)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14229, 14227])).
% 8.86/6.35 tff(14231,plain,
% 8.86/6.35 (until5(s316)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12911, 14230])).
% 8.86/6.35 tff(14232,plain,
% 8.86/6.35 (xuntil6(s316)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12905, 36, 14231, 14225])).
% 8.86/6.35 tff(14233,plain,
% 8.86/6.35 (until5(s317)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12885, 14232])).
% 8.86/6.35 tff(14234,plain,
% 8.86/6.35 (~node4(s317)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12869, 22, 14223])).
% 8.86/6.35 tff(14235,plain,
% 8.86/6.35 (xuntil6(s317) | (~until5(s317))),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12876, 36, 14234])).
% 8.86/6.35 tff(14236,plain,
% 8.86/6.35 (xuntil6(s317)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14235, 14233])).
% 8.86/6.35 tff(14237,plain,
% 8.86/6.35 (until5(s318)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12856, 14236])).
% 8.86/6.35 tff(14238,assumption,(~xuntil6(s318)), introduced(assumption)).
% 8.86/6.35 tff(14239,plain,
% 8.86/6.35 (node4(s318) | (~until5(s318))),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12847, 36, 14238])).
% 8.86/6.35 tff(14240,plain,
% 8.86/6.35 (node4(s318)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14239, 14237])).
% 8.86/6.35 tff(14241,plain,
% 8.86/6.35 ($false),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12840, 22, 14222, 14240])).
% 8.86/6.35 tff(14242,plain,(always3(s318) | xuntil6(s318) | (~until5(s315))), inference(lemma,lemma(discharge,[]))).
% 8.86/6.35 tff(14243,plain,
% 8.86/6.35 (always3(s318)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14242, 14221, 12575])).
% 8.86/6.35 tff(14244,plain,
% 8.86/6.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s318)) | (~m_main_v_state(s318, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s318)) | (~m_main_v_state(s318, c_busy)))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14245,plain,
% 8.86/6.35 (((~m_main_v_state(s318, c_busy)) | (~always3(s318))) <=> ((~always3(s318)) | (~m_main_v_state(s318, c_busy)))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14246,plain,
% 8.86/6.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s318, c_busy)) | (~always3(s318)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s318)) | (~m_main_v_state(s318, c_busy))))),
% 8.86/6.35 inference(monotonicity,[status(thm)],[14245])).
% 8.86/6.35 tff(14247,plain,
% 8.86/6.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s318, c_busy)) | (~always3(s318)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s318)) | (~m_main_v_state(s318, c_busy)))),
% 8.86/6.35 inference(transitivity,[status(thm)],[14246, 14244])).
% 8.86/6.35 tff(14248,plain,
% 8.86/6.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s318, c_busy)) | (~always3(s318)))),
% 8.86/6.35 inference(quant_inst,[status(thm)],[])).
% 8.86/6.35 tff(14249,plain,
% 8.86/6.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s318)) | (~m_main_v_state(s318, c_busy))),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14248, 14247])).
% 8.86/6.35 tff(14250,plain,
% 8.86/6.35 (~m_main_v_state(s318, c_busy)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14249, 170, 14243])).
% 8.86/6.35 tff(14251,plain,
% 8.86/6.35 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s318, c_busy) | m_main_v_state(s318, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s318, c_busy) | m_main_v_state(s318, c_ready))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14252,plain,
% 8.86/6.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s318, c_busy) | m_main_v_state(s318, c_ready))),
% 8.86/6.35 inference(quant_inst,[status(thm)],[])).
% 8.86/6.35 tff(14253,plain,
% 8.86/6.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s318, c_busy) | m_main_v_state(s318, c_ready)),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14252, 14251])).
% 8.86/6.35 tff(14254,plain,
% 8.86/6.35 (m_main_v_state(s318, c_ready)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14253, 213, 14250])).
% 8.86/6.35 tff(14255,plain,
% 8.86/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s318, s319)) | node2(s318, s319))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s318, s319)) | node2(s318, s319))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14256,plain,
% 8.86/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s318, s319)) | node2(s318, s319))),
% 8.86/6.35 inference(quant_inst,[status(thm)],[])).
% 8.86/6.35 tff(14257,plain,
% 8.86/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s318, s319)) | node2(s318, s319)),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14256, 14255])).
% 8.86/6.35 tff(14258,plain,
% 8.86/6.35 (node2(s318, s319)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14257, 7, 12832])).
% 8.86/6.35 tff(14259,plain,
% 8.86/6.35 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s318, c_ready)) | (~node2(s318, s319)) | m_main_v_state(s319, c_busy) | (~m_main_v_request(s318)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s318, c_ready)) | (~node2(s318, s319)) | m_main_v_state(s319, c_busy) | (~m_main_v_request(s318)))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14260,plain,
% 8.86/6.35 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s318, c_ready)) | (~node2(s318, s319)) | m_main_v_state(s319, c_busy) | (~m_main_v_request(s318)))),
% 8.86/6.35 inference(quant_inst,[status(thm)],[])).
% 8.86/6.35 tff(14261,plain,
% 8.86/6.35 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s318, c_ready)) | (~node2(s318, s319)) | m_main_v_state(s319, c_busy) | (~m_main_v_request(s318))),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14260, 14259])).
% 8.86/6.35 tff(14262,plain,
% 8.86/6.35 ((~m_main_v_state(s318, c_ready)) | m_main_v_state(s319, c_busy) | (~m_main_v_request(s318))),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14261, 191, 14258])).
% 8.86/6.35 tff(14263,plain,
% 8.86/6.35 (~m_main_v_request(s318)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14262, 14254, 14201])).
% 8.86/6.35 tff(14264,plain,
% 8.86/6.35 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s318) | (~node4(s318)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s318) | (~node4(s318)))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14265,plain,
% 8.86/6.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s318) | (~node4(s318)))),
% 8.86/6.35 inference(quant_inst,[status(thm)],[])).
% 8.86/6.35 tff(14266,plain,
% 8.86/6.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s318) | (~node4(s318))),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14265, 14264])).
% 8.86/6.35 tff(14267,plain,
% 8.86/6.35 (~node4(s318)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14266, 154, 14263])).
% 8.86/6.35 tff(14268,plain,
% 8.86/6.35 (node4(s318) | (~until5(s318))),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12847, 36, 14221])).
% 8.86/6.35 tff(14269,plain,
% 8.86/6.35 (~until5(s318)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14268, 14267])).
% 8.86/6.35 tff(14270,plain,
% 8.86/6.35 (~xuntil6(s317)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12856, 14269])).
% 8.86/6.35 tff(14271,assumption,(node4(s315)), introduced(assumption)).
% 8.86/6.35 tff(14272,plain,
% 8.86/6.35 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s315) | (~node4(s315)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s315) | (~node4(s315)))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14273,plain,
% 8.86/6.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s315) | (~node4(s315)))),
% 8.86/6.35 inference(quant_inst,[status(thm)],[])).
% 8.86/6.35 tff(14274,plain,
% 8.86/6.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s315) | (~node4(s315))),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14273, 14272])).
% 8.86/6.35 tff(14275,plain,
% 8.86/6.35 (m_main_v_request(s315)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14274, 154, 14271])).
% 8.86/6.35 tff(14276,plain,
% 8.86/6.35 (always3(s315)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12916, 22, 14271])).
% 8.86/6.35 tff(14277,plain,
% 8.86/6.35 (always3(s316)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[5133, 14276])).
% 8.86/6.35 tff(14278,plain,
% 8.86/6.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s316)) | (~m_main_v_state(s316, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s316)) | (~m_main_v_state(s316, c_busy)))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14279,plain,
% 8.86/6.35 (((~m_main_v_state(s316, c_busy)) | (~always3(s316))) <=> ((~always3(s316)) | (~m_main_v_state(s316, c_busy)))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14280,plain,
% 8.86/6.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s316, c_busy)) | (~always3(s316)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s316)) | (~m_main_v_state(s316, c_busy))))),
% 8.86/6.35 inference(monotonicity,[status(thm)],[14279])).
% 8.86/6.35 tff(14281,plain,
% 8.86/6.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s316, c_busy)) | (~always3(s316)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s316)) | (~m_main_v_state(s316, c_busy)))),
% 8.86/6.35 inference(transitivity,[status(thm)],[14280, 14278])).
% 8.86/6.35 tff(14282,plain,
% 8.86/6.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s316, c_busy)) | (~always3(s316)))),
% 8.86/6.35 inference(quant_inst,[status(thm)],[])).
% 8.86/6.35 tff(14283,plain,
% 8.86/6.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s316)) | (~m_main_v_state(s316, c_busy))),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14282, 14281])).
% 8.86/6.35 tff(14284,plain,
% 8.86/6.35 (~m_main_v_state(s316, c_busy)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14283, 170, 14277])).
% 8.86/6.35 tff(14285,plain,
% 8.86/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s315, s316)) | node2(s315, s316))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s315, s316)) | node2(s315, s316))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14286,plain,
% 8.86/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s315, s316)) | node2(s315, s316))),
% 8.86/6.35 inference(quant_inst,[status(thm)],[])).
% 8.86/6.35 tff(14287,plain,
% 8.86/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s315, s316)) | node2(s315, s316)),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14286, 14285])).
% 8.86/6.35 tff(14288,plain,
% 8.86/6.35 (node2(s315, s316)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14287, 7, 5129])).
% 8.86/6.35 tff(14289,plain,
% 8.86/6.35 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s315, c_ready)) | (~node2(s315, s316)) | m_main_v_state(s316, c_busy) | (~m_main_v_request(s315)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s315, c_ready)) | (~node2(s315, s316)) | m_main_v_state(s316, c_busy) | (~m_main_v_request(s315)))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14290,plain,
% 8.86/6.35 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s315, c_ready)) | (~node2(s315, s316)) | m_main_v_state(s316, c_busy) | (~m_main_v_request(s315)))),
% 8.86/6.35 inference(quant_inst,[status(thm)],[])).
% 8.86/6.35 tff(14291,plain,
% 8.86/6.35 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s315, c_ready)) | (~node2(s315, s316)) | m_main_v_state(s316, c_busy) | (~m_main_v_request(s315))),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14290, 14289])).
% 8.86/6.35 tff(14292,plain,
% 8.86/6.35 ((~m_main_v_state(s315, c_ready)) | m_main_v_state(s316, c_busy) | (~m_main_v_request(s315))),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14291, 191, 14288])).
% 8.86/6.35 tff(14293,plain,
% 8.86/6.35 (~m_main_v_state(s315, c_ready)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14292, 14284, 14275])).
% 8.86/6.35 tff(14294,plain,
% 8.86/6.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s315)) | (~m_main_v_state(s315, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s315)) | (~m_main_v_state(s315, c_busy)))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14295,plain,
% 8.86/6.35 (((~m_main_v_state(s315, c_busy)) | (~always3(s315))) <=> ((~always3(s315)) | (~m_main_v_state(s315, c_busy)))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14296,plain,
% 8.86/6.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s315, c_busy)) | (~always3(s315)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s315)) | (~m_main_v_state(s315, c_busy))))),
% 8.86/6.35 inference(monotonicity,[status(thm)],[14295])).
% 8.86/6.35 tff(14297,plain,
% 8.86/6.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s315, c_busy)) | (~always3(s315)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s315)) | (~m_main_v_state(s315, c_busy)))),
% 8.86/6.35 inference(transitivity,[status(thm)],[14296, 14294])).
% 8.86/6.35 tff(14298,plain,
% 8.86/6.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s315, c_busy)) | (~always3(s315)))),
% 8.86/6.35 inference(quant_inst,[status(thm)],[])).
% 8.86/6.35 tff(14299,plain,
% 8.86/6.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s315)) | (~m_main_v_state(s315, c_busy))),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14298, 14297])).
% 8.86/6.35 tff(14300,plain,
% 8.86/6.35 (~m_main_v_state(s315, c_busy)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14299, 170, 14276])).
% 8.86/6.35 tff(14301,plain,
% 8.86/6.35 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s315, c_busy) | m_main_v_state(s315, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s315, c_busy) | m_main_v_state(s315, c_ready))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14302,plain,
% 8.86/6.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s315, c_busy) | m_main_v_state(s315, c_ready))),
% 8.86/6.35 inference(quant_inst,[status(thm)],[])).
% 8.86/6.35 tff(14303,plain,
% 8.86/6.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s315, c_busy) | m_main_v_state(s315, c_ready)),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14302, 14301])).
% 8.86/6.35 tff(14304,plain,
% 8.86/6.35 ($false),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14303, 213, 14300, 14293])).
% 8.86/6.35 tff(14305,plain,(~node4(s315)), inference(lemma,lemma(discharge,[]))).
% 8.86/6.35 tff(14306,plain,
% 8.86/6.35 (xuntil6(s315) | (~until5(s315))),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12923, 36, 14305])).
% 8.86/6.35 tff(14307,plain,
% 8.86/6.35 (xuntil6(s315)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14306, 12575])).
% 8.86/6.35 tff(14308,plain,
% 8.86/6.35 (until5(s316)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12911, 14307])).
% 8.86/6.35 tff(14309,plain,
% 8.86/6.35 (~node4(s316)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12898, 22, 5122])).
% 8.86/6.35 tff(14310,plain,
% 8.86/6.35 (xuntil6(s316) | (~until5(s316))),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12905, 36, 14309])).
% 8.86/6.35 tff(14311,plain,
% 8.86/6.35 (xuntil6(s316)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14310, 14308])).
% 8.86/6.35 tff(14312,plain,
% 8.86/6.35 (until5(s317)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12885, 14311])).
% 8.86/6.35 tff(14313,plain,
% 8.86/6.35 (xuntil6(s317) | node4(s317)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12876, 36, 14312])).
% 8.86/6.35 tff(14314,plain,
% 8.86/6.35 (node4(s317)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14313, 14270])).
% 8.86/6.35 tff(14315,plain,
% 8.86/6.35 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s317) | (~node4(s317)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s317) | (~node4(s317)))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14316,plain,
% 8.86/6.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s317) | (~node4(s317)))),
% 8.86/6.35 inference(quant_inst,[status(thm)],[])).
% 8.86/6.35 tff(14317,plain,
% 8.86/6.35 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s317) | (~node4(s317))),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14316, 14315])).
% 8.86/6.35 tff(14318,plain,
% 8.86/6.35 (m_main_v_request(s317)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14317, 154, 14314])).
% 8.86/6.35 tff(14319,plain,
% 8.86/6.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s317, s318)) | node2(s317, s318))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s317, s318)) | node2(s317, s318))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14320,plain,
% 8.86/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s317, s318)) | node2(s317, s318))),
% 8.86/6.35 inference(quant_inst,[status(thm)],[])).
% 8.86/6.35 tff(14321,plain,
% 8.86/6.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s317, s318)) | node2(s317, s318)),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14320, 14319])).
% 8.86/6.35 tff(14322,plain,
% 8.86/6.35 (node2(s317, s318)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14321, 7, 12861])).
% 8.86/6.35 tff(14323,plain,
% 8.86/6.35 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s317, c_ready)) | (~node2(s317, s318)) | m_main_v_state(s318, c_busy) | (~m_main_v_request(s317)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s317, c_ready)) | (~node2(s317, s318)) | m_main_v_state(s318, c_busy) | (~m_main_v_request(s317)))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14324,plain,
% 8.86/6.35 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s317, c_ready)) | (~node2(s317, s318)) | m_main_v_state(s318, c_busy) | (~m_main_v_request(s317)))),
% 8.86/6.35 inference(quant_inst,[status(thm)],[])).
% 8.86/6.35 tff(14325,plain,
% 8.86/6.35 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s317, c_ready)) | (~node2(s317, s318)) | m_main_v_state(s318, c_busy) | (~m_main_v_request(s317))),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14324, 14323])).
% 8.86/6.35 tff(14326,plain,
% 8.86/6.35 ((~m_main_v_state(s317, c_ready)) | m_main_v_state(s318, c_busy) | (~m_main_v_request(s317))),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14325, 191, 14322])).
% 8.86/6.35 tff(14327,plain,
% 8.86/6.35 (~m_main_v_state(s317, c_ready)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14326, 14318, 14250])).
% 8.86/6.35 tff(14328,assumption,(~always3(s317)), introduced(assumption)).
% 8.86/6.35 tff(14329,plain,
% 8.86/6.35 (~always3(s316)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12894, 14328])).
% 8.86/6.35 tff(14330,plain,
% 8.86/6.35 (~node4(s316)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12898, 22, 14329])).
% 8.86/6.35 tff(14331,plain,
% 8.86/6.35 (~always3(s315)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[5133, 14329])).
% 8.86/6.35 tff(14332,plain,
% 8.86/6.35 (~node4(s315)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12916, 22, 14331])).
% 8.86/6.35 tff(14333,plain,
% 8.86/6.35 (xuntil6(s315)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14229, 14332])).
% 8.86/6.35 tff(14334,plain,
% 8.86/6.35 (until5(s316)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12911, 14333])).
% 8.86/6.35 tff(14335,plain,
% 8.86/6.35 (xuntil6(s316)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12905, 36, 14334, 14330])).
% 8.86/6.35 tff(14336,plain,
% 8.86/6.35 (until5(s317)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12885, 14335])).
% 8.86/6.35 tff(14337,assumption,(~xuntil6(s317)), introduced(assumption)).
% 8.86/6.35 tff(14338,plain,
% 8.86/6.35 (node4(s317) | (~until5(s317))),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12876, 36, 14337])).
% 8.86/6.35 tff(14339,plain,
% 8.86/6.35 (node4(s317)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14338, 14336])).
% 8.86/6.35 tff(14340,plain,
% 8.86/6.35 ($false),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12869, 22, 14328, 14339])).
% 8.86/6.35 tff(14341,plain,(always3(s317) | xuntil6(s317) | (~until5(s315))), inference(lemma,lemma(discharge,[]))).
% 8.86/6.35 tff(14342,plain,
% 8.86/6.35 (always3(s317)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14341, 14270, 12575])).
% 8.86/6.35 tff(14343,plain,
% 8.86/6.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s317)) | (~m_main_v_state(s317, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s317)) | (~m_main_v_state(s317, c_busy)))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14344,plain,
% 8.86/6.35 (((~m_main_v_state(s317, c_busy)) | (~always3(s317))) <=> ((~always3(s317)) | (~m_main_v_state(s317, c_busy)))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14345,plain,
% 8.86/6.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s317, c_busy)) | (~always3(s317)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s317)) | (~m_main_v_state(s317, c_busy))))),
% 8.86/6.35 inference(monotonicity,[status(thm)],[14344])).
% 8.86/6.35 tff(14346,plain,
% 8.86/6.35 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s317, c_busy)) | (~always3(s317)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s317)) | (~m_main_v_state(s317, c_busy)))),
% 8.86/6.35 inference(transitivity,[status(thm)],[14345, 14343])).
% 8.86/6.35 tff(14347,plain,
% 8.86/6.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s317, c_busy)) | (~always3(s317)))),
% 8.86/6.35 inference(quant_inst,[status(thm)],[])).
% 8.86/6.35 tff(14348,plain,
% 8.86/6.35 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s317)) | (~m_main_v_state(s317, c_busy))),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14347, 14346])).
% 8.86/6.35 tff(14349,plain,
% 8.86/6.35 (~m_main_v_state(s317, c_busy)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14348, 170, 14342])).
% 8.86/6.35 tff(14350,plain,
% 8.86/6.35 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s317, c_busy) | m_main_v_state(s317, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s317, c_busy) | m_main_v_state(s317, c_ready))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14351,plain,
% 8.86/6.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s317, c_busy) | m_main_v_state(s317, c_ready))),
% 8.86/6.35 inference(quant_inst,[status(thm)],[])).
% 8.86/6.35 tff(14352,plain,
% 8.86/6.35 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s317, c_busy) | m_main_v_state(s317, c_ready)),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14351, 14350])).
% 8.86/6.35 tff(14353,plain,
% 8.86/6.35 ($false),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14352, 213, 14349, 14327])).
% 8.86/6.35 tff(14354,plain,(always3(s316) | xuntil6(s327) | node4(s253) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 8.86/6.35 tff(14355,plain,
% 8.86/6.35 (always3(s316) | xuntil6(s327) | (~until5(s58))),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14354, 5121])).
% 8.86/6.35 tff(14356,plain,
% 8.86/6.35 (always3(s316)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14355, 5072, 5071])).
% 8.86/6.35 tff(14357,plain,
% 8.86/6.35 (always3(s317)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12894, 14356])).
% 8.86/6.35 tff(14358,plain,
% 8.86/6.35 (always3(s318)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12865, 14357])).
% 8.86/6.35 tff(14359,plain,
% 8.86/6.35 (~m_main_v_state(s318, c_busy)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14249, 170, 14358])).
% 8.86/6.35 tff(14360,assumption,(~m_main_v_state(s318, c_busy)), introduced(assumption)).
% 8.86/6.35 tff(14361,assumption,(~m_main_v_state(s318, c_ready)), introduced(assumption)).
% 8.86/6.35 tff(14362,plain,
% 8.86/6.35 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s317, s318)) | m_main_v_state(s318, c_busy) | node1(s317) | m_main_v_state(s318, 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(s317, s318)) | m_main_v_state(s318, c_busy) | node1(s317) | m_main_v_state(s318, c_ready))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14363,plain,
% 8.86/6.35 ((node1(s317) | m_main_v_state(s318, c_ready) | (~node2(s317, s318)) | m_main_v_state(s318, c_busy)) <=> ((~node2(s317, s318)) | m_main_v_state(s318, c_busy) | node1(s317) | m_main_v_state(s318, c_ready))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14364,plain,
% 8.86/6.35 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s317) | m_main_v_state(s318, c_ready) | (~node2(s317, s318)) | m_main_v_state(s318, 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(s317, s318)) | m_main_v_state(s318, c_busy) | node1(s317) | m_main_v_state(s318, c_ready)))),
% 8.86/6.35 inference(monotonicity,[status(thm)],[14363])).
% 8.86/6.35 tff(14365,plain,
% 8.86/6.35 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s317) | m_main_v_state(s318, c_ready) | (~node2(s317, s318)) | m_main_v_state(s318, 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(s317, s318)) | m_main_v_state(s318, c_busy) | node1(s317) | m_main_v_state(s318, c_ready))),
% 8.86/6.35 inference(transitivity,[status(thm)],[14364, 14362])).
% 8.86/6.35 tff(14366,plain,
% 8.86/6.35 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s317) | m_main_v_state(s318, c_ready) | (~node2(s317, s318)) | m_main_v_state(s318, c_busy))),
% 8.86/6.35 inference(quant_inst,[status(thm)],[])).
% 8.86/6.35 tff(14367,plain,
% 8.86/6.35 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s317, s318)) | m_main_v_state(s318, c_busy) | node1(s317) | m_main_v_state(s318, c_ready)),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14366, 14365])).
% 8.86/6.35 tff(14368,plain,
% 8.86/6.35 (m_main_v_state(s318, c_busy) | node1(s317) | m_main_v_state(s318, c_ready)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14367, 4166, 14322])).
% 8.86/6.35 tff(14369,plain,
% 8.86/6.35 (node1(s317)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14368, 14360, 14361])).
% 8.86/6.35 tff(14370,plain,
% 8.86/6.35 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s317, c_ready) | (~node1(s317)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s317, c_ready) | (~node1(s317)))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14371,plain,
% 8.86/6.35 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s317, c_ready) | (~node1(s317)))),
% 8.86/6.35 inference(quant_inst,[status(thm)],[])).
% 8.86/6.35 tff(14372,plain,
% 8.86/6.35 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s317, c_ready) | (~node1(s317))),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14371, 14370])).
% 8.86/6.35 tff(14373,plain,
% 8.86/6.35 (m_main_v_state(s317, c_ready)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14372, 4151, 14369])).
% 8.86/6.35 tff(14374,plain,
% 8.86/6.35 (^[X: $i] : refl((m_main_v_request(X) | (~node1(X))) <=> (m_main_v_request(X) | (~node1(X))))),
% 8.86/6.35 inference(bind,[status(th)],[])).
% 8.86/6.35 tff(14375,plain,
% 8.86/6.35 (![X: $i] : (m_main_v_request(X) | (~node1(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 8.86/6.35 inference(quant_intro,[status(thm)],[14374])).
% 8.86/6.35 tff(14376,plain,
% 8.86/6.35 (![X: $i] : (m_main_v_request(X) | (~node1(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14377,axiom,(![X: $i] : (m_main_v_request(X) | (~node1(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_5')).
% 8.86/6.35 tff(14378,plain,
% 8.86/6.35 (![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14377, 14376])).
% 8.86/6.35 tff(14379,plain,(
% 8.86/6.35 ![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 8.86/6.35 inference(skolemize,[status(sab)],[14378])).
% 8.86/6.35 tff(14380,plain,
% 8.86/6.35 (![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14379, 14375])).
% 8.86/6.35 tff(14381,plain,
% 8.86/6.35 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s317) | (~node1(s317)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s317) | (~node1(s317)))),
% 8.86/6.35 inference(rewrite,[status(thm)],[])).
% 8.86/6.35 tff(14382,plain,
% 8.86/6.35 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s317) | (~node1(s317)))),
% 8.86/6.35 inference(quant_inst,[status(thm)],[])).
% 8.86/6.35 tff(14383,plain,
% 8.86/6.35 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s317) | (~node1(s317))),
% 8.86/6.35 inference(modus_ponens,[status(thm)],[14382, 14381])).
% 8.86/6.35 tff(14384,plain,
% 8.86/6.35 (m_main_v_request(s317)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14383, 14380, 14369])).
% 8.86/6.35 tff(14385,plain,
% 8.86/6.35 ($false),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14326, 14384, 14373, 14360])).
% 8.86/6.35 tff(14386,plain,(m_main_v_state(s318, c_busy) | m_main_v_state(s318, c_ready)), inference(lemma,lemma(discharge,[]))).
% 8.86/6.35 tff(14387,plain,
% 8.86/6.35 (m_main_v_state(s318, c_ready)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[14386, 14359])).
% 8.86/6.35 tff(14388,plain,
% 8.86/6.35 (always3(s319)),
% 8.86/6.35 inference(unit_resolution,[status(thm)],[12836, 14358])).
% 8.86/6.36 tff(14389,plain,
% 8.86/6.36 (~m_main_v_state(s319, c_busy)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14200, 170, 14388])).
% 8.86/6.36 tff(14390,plain,
% 8.86/6.36 (~m_main_v_request(s318)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14262, 14389, 14387])).
% 8.86/6.36 tff(14391,plain,
% 8.86/6.36 (~node4(s318)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14266, 154, 14390])).
% 8.86/6.36 tff(14392,plain,
% 8.86/6.36 (~m_main_v_state(s317, c_busy)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14348, 170, 14357])).
% 8.86/6.36 tff(14393,assumption,(~m_main_v_state(s317, c_busy)), introduced(assumption)).
% 8.86/6.36 tff(14394,assumption,(~m_main_v_state(s317, c_ready)), introduced(assumption)).
% 8.86/6.36 tff(14395,plain,
% 8.86/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s316, s317)) | node2(s316, s317))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s316, s317)) | node2(s316, s317))),
% 8.86/6.36 inference(rewrite,[status(thm)],[])).
% 8.86/6.36 tff(14396,plain,
% 8.86/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s316, s317)) | node2(s316, s317))),
% 8.86/6.36 inference(quant_inst,[status(thm)],[])).
% 8.86/6.36 tff(14397,plain,
% 8.86/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s316, s317)) | node2(s316, s317)),
% 8.86/6.36 inference(modus_ponens,[status(thm)],[14396, 14395])).
% 8.86/6.36 tff(14398,plain,
% 8.86/6.36 (node2(s316, s317)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14397, 7, 12890])).
% 8.86/6.36 tff(14399,plain,
% 8.86/6.36 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s316, s317)) | m_main_v_state(s317, c_busy) | node1(s316) | m_main_v_state(s317, 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(s316, s317)) | m_main_v_state(s317, c_busy) | node1(s316) | m_main_v_state(s317, c_ready))),
% 8.86/6.36 inference(rewrite,[status(thm)],[])).
% 8.86/6.36 tff(14400,plain,
% 8.86/6.36 ((node1(s316) | m_main_v_state(s317, c_ready) | (~node2(s316, s317)) | m_main_v_state(s317, c_busy)) <=> ((~node2(s316, s317)) | m_main_v_state(s317, c_busy) | node1(s316) | m_main_v_state(s317, c_ready))),
% 8.86/6.36 inference(rewrite,[status(thm)],[])).
% 8.86/6.36 tff(14401,plain,
% 8.86/6.36 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s316) | m_main_v_state(s317, c_ready) | (~node2(s316, s317)) | m_main_v_state(s317, 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(s316, s317)) | m_main_v_state(s317, c_busy) | node1(s316) | m_main_v_state(s317, c_ready)))),
% 8.86/6.36 inference(monotonicity,[status(thm)],[14400])).
% 8.86/6.36 tff(14402,plain,
% 8.86/6.36 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s316) | m_main_v_state(s317, c_ready) | (~node2(s316, s317)) | m_main_v_state(s317, 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(s316, s317)) | m_main_v_state(s317, c_busy) | node1(s316) | m_main_v_state(s317, c_ready))),
% 8.86/6.36 inference(transitivity,[status(thm)],[14401, 14399])).
% 8.86/6.36 tff(14403,plain,
% 8.86/6.36 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s316) | m_main_v_state(s317, c_ready) | (~node2(s316, s317)) | m_main_v_state(s317, c_busy))),
% 8.86/6.36 inference(quant_inst,[status(thm)],[])).
% 8.86/6.36 tff(14404,plain,
% 8.86/6.36 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s316, s317)) | m_main_v_state(s317, c_busy) | node1(s316) | m_main_v_state(s317, c_ready)),
% 8.86/6.36 inference(modus_ponens,[status(thm)],[14403, 14402])).
% 8.86/6.36 tff(14405,plain,
% 8.86/6.36 (m_main_v_state(s317, c_busy) | node1(s316) | m_main_v_state(s317, c_ready)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14404, 4166, 14398])).
% 8.86/6.36 tff(14406,plain,
% 8.86/6.36 (node1(s316)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14405, 14393, 14394])).
% 8.86/6.36 tff(14407,plain,
% 8.86/6.36 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s316, c_ready) | (~node1(s316)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s316, c_ready) | (~node1(s316)))),
% 8.86/6.36 inference(rewrite,[status(thm)],[])).
% 8.86/6.36 tff(14408,plain,
% 8.86/6.36 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s316, c_ready) | (~node1(s316)))),
% 8.86/6.36 inference(quant_inst,[status(thm)],[])).
% 8.86/6.36 tff(14409,plain,
% 8.86/6.36 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s316, c_ready) | (~node1(s316))),
% 8.86/6.36 inference(modus_ponens,[status(thm)],[14408, 14407])).
% 8.86/6.36 tff(14410,plain,
% 8.86/6.36 (m_main_v_state(s316, c_ready)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14409, 4151, 14406])).
% 8.86/6.36 tff(14411,plain,
% 8.86/6.36 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s316) | (~node1(s316)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s316) | (~node1(s316)))),
% 8.86/6.36 inference(rewrite,[status(thm)],[])).
% 8.86/6.36 tff(14412,plain,
% 8.86/6.36 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s316) | (~node1(s316)))),
% 8.86/6.36 inference(quant_inst,[status(thm)],[])).
% 8.86/6.36 tff(14413,plain,
% 8.86/6.36 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s316) | (~node1(s316))),
% 8.86/6.36 inference(modus_ponens,[status(thm)],[14412, 14411])).
% 8.86/6.36 tff(14414,plain,
% 8.86/6.36 (m_main_v_request(s316)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14413, 14380, 14406])).
% 8.86/6.36 tff(14415,plain,
% 8.86/6.36 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s316, c_ready)) | (~node2(s316, s317)) | m_main_v_state(s317, c_busy) | (~m_main_v_request(s316)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s316, c_ready)) | (~node2(s316, s317)) | m_main_v_state(s317, c_busy) | (~m_main_v_request(s316)))),
% 8.86/6.36 inference(rewrite,[status(thm)],[])).
% 8.86/6.36 tff(14416,plain,
% 8.86/6.36 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s316, c_ready)) | (~node2(s316, s317)) | m_main_v_state(s317, c_busy) | (~m_main_v_request(s316)))),
% 8.86/6.36 inference(quant_inst,[status(thm)],[])).
% 8.86/6.36 tff(14417,plain,
% 8.86/6.36 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s316, c_ready)) | (~node2(s316, s317)) | m_main_v_state(s317, c_busy) | (~m_main_v_request(s316))),
% 8.86/6.36 inference(modus_ponens,[status(thm)],[14416, 14415])).
% 8.86/6.36 tff(14418,plain,
% 8.86/6.36 ((~m_main_v_state(s316, c_ready)) | m_main_v_state(s317, c_busy) | (~m_main_v_request(s316))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14417, 191, 14398])).
% 8.86/6.36 tff(14419,plain,
% 8.86/6.36 ($false),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14418, 14414, 14410, 14393])).
% 8.86/6.36 tff(14420,plain,(m_main_v_state(s317, c_busy) | m_main_v_state(s317, c_ready)), inference(lemma,lemma(discharge,[]))).
% 8.86/6.36 tff(14421,plain,
% 8.86/6.36 (m_main_v_state(s317, c_ready)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14420, 14392])).
% 8.86/6.36 tff(14422,plain,
% 8.86/6.36 (~m_main_v_request(s317)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14326, 14421, 14359])).
% 8.86/6.36 tff(14423,plain,
% 8.86/6.36 (~node4(s317)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14317, 154, 14422])).
% 8.86/6.36 tff(14424,assumption,(node4(s316)), introduced(assumption)).
% 8.86/6.36 tff(14425,plain,
% 8.86/6.36 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s316) | (~node4(s316)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s316) | (~node4(s316)))),
% 8.86/6.36 inference(rewrite,[status(thm)],[])).
% 8.86/6.36 tff(14426,plain,
% 8.86/6.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s316) | (~node4(s316)))),
% 8.86/6.36 inference(quant_inst,[status(thm)],[])).
% 8.86/6.36 tff(14427,plain,
% 8.86/6.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s316) | (~node4(s316))),
% 8.86/6.36 inference(modus_ponens,[status(thm)],[14426, 14425])).
% 8.86/6.36 tff(14428,plain,
% 8.86/6.36 (m_main_v_request(s316)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14427, 154, 14424])).
% 8.86/6.36 tff(14429,plain,
% 8.86/6.36 (~m_main_v_state(s316, c_ready)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14418, 14428, 14393])).
% 8.86/6.36 tff(14430,plain,
% 8.86/6.36 (always3(s316)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[12898, 22, 14424])).
% 8.86/6.36 tff(14431,plain,
% 8.86/6.36 (~m_main_v_state(s316, c_busy)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14283, 170, 14430])).
% 8.86/6.36 tff(14432,plain,
% 8.86/6.36 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s316, c_busy) | m_main_v_state(s316, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s316, c_busy) | m_main_v_state(s316, c_ready))),
% 8.86/6.36 inference(rewrite,[status(thm)],[])).
% 8.86/6.36 tff(14433,plain,
% 8.86/6.36 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s316, c_busy) | m_main_v_state(s316, c_ready))),
% 8.86/6.36 inference(quant_inst,[status(thm)],[])).
% 8.86/6.36 tff(14434,plain,
% 8.86/6.36 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s316, c_busy) | m_main_v_state(s316, c_ready)),
% 8.86/6.36 inference(modus_ponens,[status(thm)],[14433, 14432])).
% 8.86/6.36 tff(14435,plain,
% 8.86/6.36 ($false),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14434, 213, 14431, 14429])).
% 8.86/6.36 tff(14436,plain,((~node4(s316)) | m_main_v_state(s317, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.86/6.36 tff(14437,plain,
% 8.86/6.36 (~node4(s316)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14436, 14392])).
% 8.86/6.36 tff(14438,assumption,(~xuntil6(s113)), introduced(assumption)).
% 8.86/6.36 tff(14439,assumption,(~always3(s113)), introduced(assumption)).
% 8.86/6.36 tff(14440,plain,
% 8.86/6.36 (~always3(s112)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[8906, 14439])).
% 8.86/6.36 tff(14441,plain,
% 8.86/6.36 (~node4(s112)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[10475, 22, 14440])).
% 8.86/6.36 tff(14442,plain,
% 8.86/6.36 (~node4(s113)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[10492, 22, 14439])).
% 8.86/6.36 tff(14443,plain,
% 8.86/6.36 (node4(s113) | (~until5(s113))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[10499, 36, 14438])).
% 8.86/6.36 tff(14444,plain,
% 8.86/6.36 (~until5(s113)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14443, 14442])).
% 8.86/6.36 tff(14445,plain,
% 8.86/6.36 (~xuntil6(s112)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[10488, 14444])).
% 8.86/6.36 tff(14446,plain,
% 8.86/6.36 (~until5(s112)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[10482, 36, 14445, 14441])).
% 8.86/6.36 tff(14447,plain,
% 8.86/6.36 (~xuntil6(s111)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[10471, 14446])).
% 8.86/6.36 tff(14448,plain,
% 8.86/6.36 (~always3(s111)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[8918, 14440])).
% 8.86/6.36 tff(14449,plain,
% 8.86/6.36 (~node4(s111)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[10458, 22, 14448])).
% 8.86/6.36 tff(14450,plain,
% 8.86/6.36 (xuntil6(s111) | (~until5(s111))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[10465, 36, 14449])).
% 8.86/6.36 tff(14451,plain,
% 8.86/6.36 (~until5(s111)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14450, 14447])).
% 8.86/6.36 tff(14452,plain,
% 8.86/6.36 (~xuntil6(s110)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[10454, 14451])).
% 8.86/6.36 tff(14453,plain,
% 8.86/6.36 (~always3(s110)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[8930, 14448])).
% 8.86/6.36 tff(14454,plain,
% 8.86/6.36 (~node4(s110)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[10441, 22, 14453])).
% 8.86/6.36 tff(14455,plain,
% 8.86/6.36 (xuntil6(s110) | (~until5(s110))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[10448, 36, 14454])).
% 8.86/6.36 tff(14456,plain,
% 8.86/6.36 (~until5(s110)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14455, 14452])).
% 8.86/6.36 tff(14457,plain,
% 8.86/6.36 (~xuntil6(s109)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[10437, 14456])).
% 8.86/6.36 tff(14458,plain,
% 8.86/6.36 (~always3(s109)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[8942, 14453])).
% 8.86/6.36 tff(14459,plain,
% 8.86/6.36 (~node4(s109)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[10424, 22, 14458])).
% 8.86/6.36 tff(14460,plain,
% 8.86/6.36 (xuntil6(s109) | (~until5(s109))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[10431, 36, 14459])).
% 8.86/6.36 tff(14461,plain,
% 8.86/6.36 (~until5(s109)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14460, 14457])).
% 8.86/6.36 tff(14462,plain,
% 8.86/6.36 (~xuntil6(s108)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[10420, 14461])).
% 8.86/6.36 tff(14463,plain,
% 8.86/6.36 (~always3(s108)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[8954, 14458])).
% 8.86/6.36 tff(14464,plain,
% 8.86/6.36 (~node4(s108)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[10407, 22, 14463])).
% 8.86/6.36 tff(14465,plain,
% 8.86/6.36 (xuntil6(s108) | (~until5(s108))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[10414, 36, 14464])).
% 8.86/6.36 tff(14466,plain,
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% 8.86/6.36 tff(14468,plain,
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% 8.86/6.36 tff(14514,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[14515, 14512])).
% 8.86/6.36 tff(14517,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[14520, 14517])).
% 8.86/6.36 tff(14522,plain,
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% 8.86/6.36 tff(14523,plain,
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% 8.86/6.36 tff(14531,plain,
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% 8.86/6.36 tff(14533,plain,
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% 8.86/6.36 tff(14536,plain,
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% 8.86/6.36 tff(14546,plain,
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% 8.86/6.36 tff(14547,plain,
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% 8.86/6.36 tff(14548,plain,
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% 8.86/6.36 tff(14553,plain,
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% 8.86/6.36 tff(14555,plain,
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% 8.86/6.36 tff(14556,plain,
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% 8.86/6.36 tff(14557,plain,
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% 8.86/6.36 tff(14558,plain,
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% 8.86/6.36 tff(14561,plain,
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% 8.86/6.36 tff(14568,plain,
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% 8.86/6.36 tff(14576,plain,
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% 8.86/6.36 tff(14578,plain,
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% 8.86/6.36 tff(14581,plain,
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% 8.86/6.36 tff(14582,plain,
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% 8.86/6.36 tff(14583,plain,
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% 8.86/6.36 tff(14585,plain,
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% 8.86/6.36 tff(14586,plain,
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% 8.86/6.36 tff(14588,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9254, 14583])).
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9982, 22, 14588])).
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9989, 36, 14589])).
% 8.86/6.36 tff(14591,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[14590, 14587])).
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9978, 14591])).
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9266, 14588])).
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9965, 22, 14593])).
% 8.86/6.36 tff(14595,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9972, 36, 14594])).
% 8.86/6.36 tff(14596,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[14595, 14592])).
% 8.86/6.36 tff(14597,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9961, 14596])).
% 8.86/6.36 tff(14598,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9278, 14593])).
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9948, 22, 14598])).
% 8.86/6.36 tff(14600,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9955, 36, 14599])).
% 8.86/6.36 tff(14601,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[14600, 14597])).
% 8.86/6.36 tff(14602,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9944, 14601])).
% 8.86/6.36 tff(14603,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9290, 14598])).
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9931, 22, 14603])).
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9938, 36, 14604])).
% 8.86/6.36 tff(14606,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[14605, 14602])).
% 8.86/6.36 tff(14607,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9927, 14606])).
% 8.86/6.36 tff(14608,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9302, 14603])).
% 8.86/6.36 tff(14609,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9914, 22, 14608])).
% 8.86/6.36 tff(14610,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9921, 36, 14609])).
% 8.86/6.36 tff(14611,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[14610, 14607])).
% 8.86/6.36 tff(14612,plain,
% 8.86/6.36 (~xuntil6(s78)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9910, 14611])).
% 8.86/6.36 tff(14613,plain,
% 8.86/6.36 (~always3(s78)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9314, 14608])).
% 8.86/6.36 tff(14614,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9897, 22, 14613])).
% 8.86/6.36 tff(14615,plain,
% 8.86/6.36 (xuntil6(s78) | (~until5(s78))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9904, 36, 14614])).
% 8.86/6.36 tff(14616,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[14615, 14612])).
% 8.86/6.36 tff(14617,plain,
% 8.86/6.36 (~xuntil6(s77)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9893, 14616])).
% 8.86/6.36 tff(14618,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9326, 14613])).
% 8.86/6.36 tff(14619,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9880, 22, 14618])).
% 8.86/6.36 tff(14620,plain,
% 8.86/6.36 (xuntil6(s77) | (~until5(s77))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9887, 36, 14619])).
% 8.86/6.36 tff(14621,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[14620, 14617])).
% 8.86/6.36 tff(14622,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9876, 14621])).
% 8.86/6.36 tff(14623,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9338, 14618])).
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9863, 22, 14623])).
% 8.86/6.36 tff(14625,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9870, 36, 14624])).
% 8.86/6.36 tff(14626,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[14625, 14622])).
% 8.86/6.36 tff(14627,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9350, 14623])).
% 8.86/6.36 tff(14628,plain,
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9362, 14627])).
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% 8.86/6.36 inference(unit_resolution,[status(thm)],[9374, 14628])).
% 8.86/6.36 tff(14630,plain,
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% 8.86/6.36 tff(14665,plain,
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% 8.86/6.36 tff(14710,plain,
% 8.86/6.36 (until5(s49)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[3775, 14709])).
% 8.86/6.36 tff(14711,plain,
% 8.86/6.36 (~node4(s49)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[3762, 22, 14653])).
% 8.86/6.36 tff(14712,plain,
% 8.86/6.36 (xuntil6(s49) | (~until5(s49))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[3769, 36, 14711])).
% 8.86/6.36 tff(14713,plain,
% 8.86/6.36 (xuntil6(s49)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14712, 14710])).
% 8.86/6.36 tff(14714,plain,
% 8.86/6.36 (until5(s50)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[4342, 14713])).
% 8.86/6.36 tff(14715,plain,
% 8.86/6.36 (~node4(s50)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[4351, 22, 14652])).
% 8.86/6.36 tff(14716,plain,
% 8.86/6.36 (xuntil6(s50) | (~until5(s50))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[4392, 36, 14715])).
% 8.86/6.36 tff(14717,plain,
% 8.86/6.36 (xuntil6(s50)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14716, 14714])).
% 8.86/6.36 tff(14718,plain,
% 8.86/6.36 (until5(s51)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[4398, 14717])).
% 8.86/6.36 tff(14719,plain,
% 8.86/6.36 (~node4(s51)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[4416, 22, 14651])).
% 8.86/6.36 tff(14720,plain,
% 8.86/6.36 (xuntil6(s51) | (~until5(s51))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[4440, 36, 14719])).
% 8.86/6.36 tff(14721,plain,
% 8.86/6.36 (xuntil6(s51)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14720, 14718])).
% 8.86/6.36 tff(14722,plain,
% 8.86/6.36 (until5(s52)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[4433, 14721])).
% 8.86/6.36 tff(14723,plain,
% 8.86/6.36 (~node4(s52)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[4420, 22, 14650])).
% 8.86/6.36 tff(14724,plain,
% 8.86/6.36 (xuntil6(s52) | (~until5(s52))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[4427, 36, 14723])).
% 8.86/6.36 tff(14725,plain,
% 8.86/6.36 (xuntil6(s52)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14724, 14722])).
% 8.86/6.36 tff(14726,plain,
% 8.86/6.36 (until5(s53)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[4587, 14725])).
% 8.86/6.36 tff(14727,plain,
% 8.86/6.36 (~node4(s53)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[4651, 22, 14649])).
% 8.86/6.36 tff(14728,plain,
% 8.86/6.36 (xuntil6(s53) | (~until5(s53))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[4658, 36, 14727])).
% 8.86/6.36 tff(14729,plain,
% 8.86/6.36 (xuntil6(s53)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14728, 14726])).
% 8.86/6.36 tff(14730,plain,
% 8.86/6.36 (until5(s54)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[4638, 14729])).
% 8.86/6.36 tff(14731,plain,
% 8.86/6.36 (~node4(s54)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[4606, 22, 14648])).
% 8.86/6.36 tff(14732,plain,
% 8.86/6.36 (xuntil6(s54) | (~until5(s54))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[4630, 36, 14731])).
% 8.86/6.36 tff(14733,plain,
% 8.86/6.36 (xuntil6(s54)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14732, 14730])).
% 8.86/6.36 tff(14734,plain,
% 8.86/6.36 (until5(s55)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[4623, 14733])).
% 8.86/6.36 tff(14735,plain,
% 8.86/6.36 (~node4(s55)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[4610, 22, 14647])).
% 8.86/6.36 tff(14736,plain,
% 8.86/6.36 (xuntil6(s55) | (~until5(s55))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[4617, 36, 14735])).
% 8.86/6.36 tff(14737,plain,
% 8.86/6.36 (xuntil6(s55)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14736, 14734])).
% 8.86/6.36 tff(14738,plain,
% 8.86/6.36 (until5(s56)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[4856, 14737])).
% 8.86/6.36 tff(14739,plain,
% 8.86/6.36 (~node4(s56)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[4874, 22, 14646])).
% 8.86/6.36 tff(14740,plain,
% 8.86/6.36 (xuntil6(s56) | (~until5(s56))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[4898, 36, 14739])).
% 8.86/6.36 tff(14741,plain,
% 8.86/6.36 (xuntil6(s56)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14740, 14738])).
% 8.86/6.36 tff(14742,plain,
% 8.86/6.36 (until5(s57)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[4891, 14741])).
% 8.86/6.36 tff(14743,plain,
% 8.86/6.36 (~node4(s57)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[4878, 22, 14645])).
% 8.86/6.36 tff(14744,plain,
% 8.86/6.36 (xuntil6(s57) | (~until5(s57))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[4885, 36, 14743])).
% 8.86/6.36 tff(14745,plain,
% 8.86/6.36 (xuntil6(s57)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14744, 14742])).
% 8.86/6.36 tff(14746,plain,
% 8.86/6.36 (until5(s58)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[5070, 14745])).
% 8.86/6.36 tff(14747,plain,
% 8.86/6.36 (~node4(s58)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9562, 22, 14644])).
% 8.86/6.36 tff(14748,plain,
% 8.86/6.36 (xuntil6(s58) | (~until5(s58))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9569, 36, 14747])).
% 8.86/6.36 tff(14749,plain,
% 8.86/6.36 (xuntil6(s58)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14748, 14746])).
% 8.86/6.36 tff(14750,plain,
% 8.86/6.36 (until5(s59)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9575, 14749])).
% 8.86/6.36 tff(14751,plain,
% 8.86/6.36 (~node4(s59)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9546, 22, 14643])).
% 8.86/6.36 tff(14752,plain,
% 8.86/6.36 (xuntil6(s59) | (~until5(s59))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9582, 36, 14751])).
% 8.86/6.36 tff(14753,plain,
% 8.86/6.36 (xuntil6(s59)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14752, 14750])).
% 8.86/6.36 tff(14754,plain,
% 8.86/6.36 (until5(s60)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9587, 14753])).
% 8.86/6.36 tff(14755,plain,
% 8.86/6.36 (~node4(s60)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9591, 22, 14642])).
% 8.86/6.36 tff(14756,plain,
% 8.86/6.36 (xuntil6(s60) | (~until5(s60))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9598, 36, 14755])).
% 8.86/6.36 tff(14757,plain,
% 8.86/6.36 (xuntil6(s60)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14756, 14754])).
% 8.86/6.36 tff(14758,plain,
% 8.86/6.36 (until5(s61)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9604, 14757])).
% 8.86/6.36 tff(14759,plain,
% 8.86/6.36 (~node4(s61)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9608, 22, 14641])).
% 8.86/6.36 tff(14760,plain,
% 8.86/6.36 (xuntil6(s61) | (~until5(s61))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9615, 36, 14759])).
% 8.86/6.36 tff(14761,plain,
% 8.86/6.36 (xuntil6(s61)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14760, 14758])).
% 8.86/6.36 tff(14762,plain,
% 8.86/6.36 (until5(s62)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9621, 14761])).
% 8.86/6.36 tff(14763,plain,
% 8.86/6.36 (~node4(s62)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9625, 22, 14640])).
% 8.86/6.36 tff(14764,plain,
% 8.86/6.36 (xuntil6(s62) | (~until5(s62))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9632, 36, 14763])).
% 8.86/6.36 tff(14765,plain,
% 8.86/6.36 (xuntil6(s62)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14764, 14762])).
% 8.86/6.36 tff(14766,plain,
% 8.86/6.36 (until5(s63)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9638, 14765])).
% 8.86/6.36 tff(14767,plain,
% 8.86/6.36 (~node4(s63)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9642, 22, 14639])).
% 8.86/6.36 tff(14768,plain,
% 8.86/6.36 (xuntil6(s63) | (~until5(s63))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9649, 36, 14767])).
% 8.86/6.36 tff(14769,plain,
% 8.86/6.36 (xuntil6(s63)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14768, 14766])).
% 8.86/6.36 tff(14770,plain,
% 8.86/6.36 (until5(s64)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9655, 14769])).
% 8.86/6.36 tff(14771,plain,
% 8.86/6.36 (~node4(s64)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9659, 22, 14638])).
% 8.86/6.36 tff(14772,plain,
% 8.86/6.36 (xuntil6(s64) | (~until5(s64))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9666, 36, 14771])).
% 8.86/6.36 tff(14773,plain,
% 8.86/6.36 (xuntil6(s64)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14772, 14770])).
% 8.86/6.36 tff(14774,plain,
% 8.86/6.36 (until5(s65)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9672, 14773])).
% 8.86/6.36 tff(14775,plain,
% 8.86/6.36 (~node4(s65)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9676, 22, 14637])).
% 8.86/6.36 tff(14776,plain,
% 8.86/6.36 (xuntil6(s65) | (~until5(s65))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9683, 36, 14775])).
% 8.86/6.36 tff(14777,plain,
% 8.86/6.36 (xuntil6(s65)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14776, 14774])).
% 8.86/6.36 tff(14778,plain,
% 8.86/6.36 (until5(s66)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9689, 14777])).
% 8.86/6.36 tff(14779,plain,
% 8.86/6.36 (~node4(s66)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9693, 22, 14636])).
% 8.86/6.36 tff(14780,plain,
% 8.86/6.36 (xuntil6(s66) | (~until5(s66))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9700, 36, 14779])).
% 8.86/6.36 tff(14781,plain,
% 8.86/6.36 (xuntil6(s66)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14780, 14778])).
% 8.86/6.36 tff(14782,plain,
% 8.86/6.36 (until5(s67)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9706, 14781])).
% 8.86/6.36 tff(14783,plain,
% 8.86/6.36 (~node4(s67)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9710, 22, 14635])).
% 8.86/6.36 tff(14784,plain,
% 8.86/6.36 (xuntil6(s67) | (~until5(s67))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9717, 36, 14783])).
% 8.86/6.36 tff(14785,plain,
% 8.86/6.36 (xuntil6(s67)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14784, 14782])).
% 8.86/6.36 tff(14786,plain,
% 8.86/6.36 (until5(s68)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9723, 14785])).
% 8.86/6.36 tff(14787,plain,
% 8.86/6.36 (~node4(s68)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9727, 22, 14634])).
% 8.86/6.36 tff(14788,plain,
% 8.86/6.36 (xuntil6(s68) | (~until5(s68))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9734, 36, 14787])).
% 8.86/6.36 tff(14789,plain,
% 8.86/6.36 (xuntil6(s68)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14788, 14786])).
% 8.86/6.36 tff(14790,plain,
% 8.86/6.36 (until5(s69)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9740, 14789])).
% 8.86/6.36 tff(14791,plain,
% 8.86/6.36 (~node4(s69)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9744, 22, 14633])).
% 8.86/6.36 tff(14792,plain,
% 8.86/6.36 (xuntil6(s69) | (~until5(s69))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9751, 36, 14791])).
% 8.86/6.36 tff(14793,plain,
% 8.86/6.36 (xuntil6(s69)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14792, 14790])).
% 8.86/6.36 tff(14794,plain,
% 8.86/6.36 (until5(s70)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9757, 14793])).
% 8.86/6.36 tff(14795,plain,
% 8.86/6.36 (~node4(s70)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9761, 22, 14632])).
% 8.86/6.36 tff(14796,plain,
% 8.86/6.36 (xuntil6(s70) | (~until5(s70))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9768, 36, 14795])).
% 8.86/6.36 tff(14797,plain,
% 8.86/6.36 (xuntil6(s70)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14796, 14794])).
% 8.86/6.36 tff(14798,plain,
% 8.86/6.36 (until5(s71)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9774, 14797])).
% 8.86/6.36 tff(14799,plain,
% 8.86/6.36 (~node4(s71)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9778, 22, 14631])).
% 8.86/6.36 tff(14800,plain,
% 8.86/6.36 (xuntil6(s71) | (~until5(s71))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9785, 36, 14799])).
% 8.86/6.36 tff(14801,plain,
% 8.86/6.36 (xuntil6(s71)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14800, 14798])).
% 8.86/6.36 tff(14802,plain,
% 8.86/6.36 (until5(s72)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9791, 14801])).
% 8.86/6.36 tff(14803,plain,
% 8.86/6.36 (~node4(s72)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9795, 22, 14630])).
% 8.86/6.36 tff(14804,plain,
% 8.86/6.36 (xuntil6(s72) | (~until5(s72))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9802, 36, 14803])).
% 8.86/6.36 tff(14805,plain,
% 8.86/6.36 (xuntil6(s72)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14804, 14802])).
% 8.86/6.36 tff(14806,plain,
% 8.86/6.36 (until5(s73)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9808, 14805])).
% 8.86/6.36 tff(14807,plain,
% 8.86/6.36 (~node4(s73)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9812, 22, 14629])).
% 8.86/6.36 tff(14808,plain,
% 8.86/6.36 (xuntil6(s73) | (~until5(s73))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9819, 36, 14807])).
% 8.86/6.36 tff(14809,plain,
% 8.86/6.36 (xuntil6(s73)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14808, 14806])).
% 8.86/6.36 tff(14810,plain,
% 8.86/6.36 (until5(s74)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9825, 14809])).
% 8.86/6.36 tff(14811,plain,
% 8.86/6.36 (~node4(s74)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9829, 22, 14628])).
% 8.86/6.36 tff(14812,plain,
% 8.86/6.36 (xuntil6(s74) | (~until5(s74))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9836, 36, 14811])).
% 8.86/6.36 tff(14813,plain,
% 8.86/6.36 (xuntil6(s74)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14812, 14810])).
% 8.86/6.36 tff(14814,plain,
% 8.86/6.36 (until5(s75)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9842, 14813])).
% 8.86/6.36 tff(14815,plain,
% 8.86/6.36 (~node4(s75)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9846, 22, 14627])).
% 8.86/6.36 tff(14816,plain,
% 8.86/6.36 (xuntil6(s75) | (~until5(s75))),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9853, 36, 14815])).
% 8.86/6.36 tff(14817,plain,
% 8.86/6.36 (xuntil6(s75)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14816, 14814])).
% 8.86/6.36 tff(14818,plain,
% 8.86/6.36 ($false),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9859, 14817, 14626])).
% 8.86/6.36 tff(14819,plain,(always3(s113) | xuntil6(s113)), inference(lemma,lemma(discharge,[]))).
% 8.86/6.36 tff(14820,plain,
% 8.86/6.36 (always3(s113)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14819, 14438])).
% 8.86/6.36 tff(14821,plain,
% 8.86/6.36 (always3(s114)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[8894, 14820])).
% 8.86/6.36 tff(14822,plain,
% 8.86/6.36 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s114)) | (~m_main_v_state(s114, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s114)) | (~m_main_v_state(s114, c_busy)))),
% 8.86/6.36 inference(rewrite,[status(thm)],[])).
% 8.86/6.36 tff(14823,plain,
% 8.86/6.36 (((~m_main_v_state(s114, c_busy)) | (~always3(s114))) <=> ((~always3(s114)) | (~m_main_v_state(s114, c_busy)))),
% 8.86/6.36 inference(rewrite,[status(thm)],[])).
% 8.86/6.36 tff(14824,plain,
% 8.86/6.36 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s114, c_busy)) | (~always3(s114)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s114)) | (~m_main_v_state(s114, c_busy))))),
% 8.86/6.36 inference(monotonicity,[status(thm)],[14823])).
% 8.86/6.36 tff(14825,plain,
% 8.86/6.36 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s114, c_busy)) | (~always3(s114)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s114)) | (~m_main_v_state(s114, c_busy)))),
% 8.86/6.36 inference(transitivity,[status(thm)],[14824, 14822])).
% 8.86/6.36 tff(14826,plain,
% 8.86/6.36 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s114, c_busy)) | (~always3(s114)))),
% 8.86/6.36 inference(quant_inst,[status(thm)],[])).
% 8.86/6.36 tff(14827,plain,
% 8.86/6.36 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s114)) | (~m_main_v_state(s114, c_busy))),
% 8.86/6.36 inference(modus_ponens,[status(thm)],[14826, 14825])).
% 8.86/6.36 tff(14828,plain,
% 8.86/6.36 (~m_main_v_state(s114, c_busy)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14827, 170, 14821])).
% 8.86/6.36 tff(14829,plain,
% 8.86/6.36 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s113)) | (~m_main_v_state(s113, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s113)) | (~m_main_v_state(s113, c_busy)))),
% 8.86/6.36 inference(rewrite,[status(thm)],[])).
% 8.86/6.36 tff(14830,plain,
% 8.86/6.36 (((~m_main_v_state(s113, c_busy)) | (~always3(s113))) <=> ((~always3(s113)) | (~m_main_v_state(s113, c_busy)))),
% 8.86/6.36 inference(rewrite,[status(thm)],[])).
% 8.86/6.36 tff(14831,plain,
% 8.86/6.36 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s113, c_busy)) | (~always3(s113)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s113)) | (~m_main_v_state(s113, c_busy))))),
% 8.86/6.36 inference(monotonicity,[status(thm)],[14830])).
% 8.86/6.36 tff(14832,plain,
% 8.86/6.36 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s113, c_busy)) | (~always3(s113)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s113)) | (~m_main_v_state(s113, c_busy)))),
% 8.86/6.36 inference(transitivity,[status(thm)],[14831, 14829])).
% 8.86/6.36 tff(14833,plain,
% 8.86/6.36 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s113, c_busy)) | (~always3(s113)))),
% 8.86/6.36 inference(quant_inst,[status(thm)],[])).
% 8.86/6.36 tff(14834,plain,
% 8.86/6.36 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s113)) | (~m_main_v_state(s113, c_busy))),
% 8.86/6.36 inference(modus_ponens,[status(thm)],[14833, 14832])).
% 8.86/6.36 tff(14835,plain,
% 8.86/6.36 (~m_main_v_state(s113, c_busy)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14834, 170, 14820])).
% 8.86/6.36 tff(14836,plain,
% 8.86/6.36 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s113, c_busy) | m_main_v_state(s113, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s113, c_busy) | m_main_v_state(s113, c_ready))),
% 8.86/6.36 inference(rewrite,[status(thm)],[])).
% 8.86/6.36 tff(14837,plain,
% 8.86/6.36 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s113, c_busy) | m_main_v_state(s113, c_ready))),
% 8.86/6.36 inference(quant_inst,[status(thm)],[])).
% 8.86/6.36 tff(14838,plain,
% 8.86/6.36 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s113, c_busy) | m_main_v_state(s113, c_ready)),
% 8.86/6.36 inference(modus_ponens,[status(thm)],[14837, 14836])).
% 8.86/6.36 tff(14839,plain,
% 8.86/6.36 (m_main_v_state(s113, c_ready)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14838, 213, 14835])).
% 8.86/6.36 tff(14840,assumption,(node4(s58)), introduced(assumption)).
% 8.86/6.36 tff(14841,plain,
% 8.86/6.36 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s58) | (~node4(s58)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s58) | (~node4(s58)))),
% 8.86/6.36 inference(rewrite,[status(thm)],[])).
% 8.86/6.36 tff(14842,plain,
% 8.86/6.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s58) | (~node4(s58)))),
% 8.86/6.36 inference(quant_inst,[status(thm)],[])).
% 8.86/6.36 tff(14843,plain,
% 8.86/6.36 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s58) | (~node4(s58))),
% 8.86/6.36 inference(modus_ponens,[status(thm)],[14842, 14841])).
% 8.86/6.36 tff(14844,plain,
% 8.86/6.36 (m_main_v_request(s58)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14843, 154, 14840])).
% 8.86/6.36 tff(14845,plain,
% 8.86/6.36 (always3(s58)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9562, 22, 14840])).
% 8.86/6.36 tff(14846,plain,
% 8.86/6.36 (always3(s59)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[9558, 14845])).
% 8.86/6.36 tff(14847,plain,
% 8.86/6.36 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s59)) | (~m_main_v_state(s59, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s59)) | (~m_main_v_state(s59, c_busy)))),
% 8.86/6.36 inference(rewrite,[status(thm)],[])).
% 8.86/6.36 tff(14848,plain,
% 8.86/6.36 (((~m_main_v_state(s59, c_busy)) | (~always3(s59))) <=> ((~always3(s59)) | (~m_main_v_state(s59, c_busy)))),
% 8.86/6.36 inference(rewrite,[status(thm)],[])).
% 8.86/6.36 tff(14849,plain,
% 8.86/6.36 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s59, c_busy)) | (~always3(s59)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s59)) | (~m_main_v_state(s59, c_busy))))),
% 8.86/6.36 inference(monotonicity,[status(thm)],[14848])).
% 8.86/6.36 tff(14850,plain,
% 8.86/6.36 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s59, c_busy)) | (~always3(s59)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s59)) | (~m_main_v_state(s59, c_busy)))),
% 8.86/6.36 inference(transitivity,[status(thm)],[14849, 14847])).
% 8.86/6.36 tff(14851,plain,
% 8.86/6.36 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s59, c_busy)) | (~always3(s59)))),
% 8.86/6.36 inference(quant_inst,[status(thm)],[])).
% 8.86/6.36 tff(14852,plain,
% 8.86/6.36 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s59)) | (~m_main_v_state(s59, c_busy))),
% 8.86/6.36 inference(modus_ponens,[status(thm)],[14851, 14850])).
% 8.86/6.36 tff(14853,plain,
% 8.86/6.36 (~m_main_v_state(s59, c_busy)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14852, 170, 14846])).
% 8.86/6.36 tff(14854,plain,
% 8.86/6.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s58, s59)) | node2(s58, s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s58, s59)) | node2(s58, s59))),
% 8.86/6.36 inference(rewrite,[status(thm)],[])).
% 8.86/6.36 tff(14855,plain,
% 8.86/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s58, s59)) | node2(s58, s59))),
% 8.86/6.36 inference(quant_inst,[status(thm)],[])).
% 8.86/6.36 tff(14856,plain,
% 8.86/6.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s58, s59)) | node2(s58, s59)),
% 8.86/6.36 inference(modus_ponens,[status(thm)],[14855, 14854])).
% 8.86/6.36 tff(14857,plain,
% 8.86/6.36 (node2(s58, s59)),
% 8.86/6.36 inference(unit_resolution,[status(thm)],[14856, 7, 9554])).
% 8.86/6.36 tff(14858,plain,
% 8.86/6.36 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s58, c_ready)) | (~node2(s58, s59)) | m_main_v_state(s59, c_busy) | (~m_main_v_request(s58)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s58, c_ready)) | (~node2(s58, s59)) | m_main_v_state(s59, c_busy) | (~m_main_v_request(s58)))),
% 8.86/6.36 inference(rewrite,[status(thm)],[])).
% 8.86/6.36 tff(14859,plain,
% 8.86/6.36 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s58, c_ready)) | (~node2(s58, s59)) | m_main_v_state(s59, c_busy) | (~m_main_v_request(s58)))),
% 8.86/6.37 inference(quant_inst,[status(thm)],[])).
% 8.86/6.37 tff(14860,plain,
% 8.86/6.37 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s58, c_ready)) | (~node2(s58, s59)) | m_main_v_state(s59, c_busy) | (~m_main_v_request(s58))),
% 8.86/6.37 inference(modus_ponens,[status(thm)],[14859, 14858])).
% 8.86/6.37 tff(14861,plain,
% 8.86/6.37 ((~m_main_v_state(s58, c_ready)) | m_main_v_state(s59, c_busy) | (~m_main_v_request(s58))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14860, 191, 14857])).
% 8.86/6.37 tff(14862,plain,
% 8.86/6.37 (~m_main_v_state(s58, c_ready)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14861, 14853, 14844])).
% 8.86/6.37 tff(14863,plain,
% 8.86/6.37 (~m_main_v_state(s58, c_busy)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[5011, 170, 14845])).
% 8.86/6.37 tff(14864,plain,
% 8.86/6.37 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s58, c_busy) | m_main_v_state(s58, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s58, c_busy) | m_main_v_state(s58, c_ready))),
% 8.86/6.37 inference(rewrite,[status(thm)],[])).
% 8.86/6.37 tff(14865,plain,
% 8.86/6.37 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s58, c_busy) | m_main_v_state(s58, c_ready))),
% 8.86/6.37 inference(quant_inst,[status(thm)],[])).
% 8.86/6.37 tff(14866,plain,
% 8.86/6.37 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s58, c_busy) | m_main_v_state(s58, c_ready)),
% 8.86/6.37 inference(modus_ponens,[status(thm)],[14865, 14864])).
% 8.86/6.37 tff(14867,plain,
% 8.86/6.37 ($false),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14866, 213, 14863, 14862])).
% 8.86/6.37 tff(14868,plain,(~node4(s58)), inference(lemma,lemma(discharge,[]))).
% 8.86/6.37 tff(14869,plain,
% 8.86/6.37 (xuntil6(s58) | (~until5(s58))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9569, 36, 14868])).
% 8.86/6.37 tff(14870,plain,
% 8.86/6.37 (xuntil6(s58)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14869, 5071])).
% 8.86/6.37 tff(14871,plain,
% 8.86/6.37 (until5(s59)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9575, 14870])).
% 8.86/6.37 tff(14872,assumption,(~xuntil6(s85)), introduced(assumption)).
% 8.86/6.37 tff(14873,assumption,(~always3(s85)), introduced(assumption)).
% 8.86/6.37 tff(14874,plain,
% 8.86/6.37 (~always3(s84)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9242, 14873])).
% 8.86/6.37 tff(14875,plain,
% 8.86/6.37 (~node4(s84)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9999, 22, 14874])).
% 8.86/6.37 tff(14876,plain,
% 8.86/6.37 (~node4(s85)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[10016, 22, 14873])).
% 8.86/6.37 tff(14877,plain,
% 8.86/6.37 (node4(s85) | (~until5(s85))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[10023, 36, 14872])).
% 8.86/6.37 tff(14878,plain,
% 8.86/6.37 (~until5(s85)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14877, 14876])).
% 8.86/6.37 tff(14879,plain,
% 8.86/6.37 (~xuntil6(s84)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[10012, 14878])).
% 8.86/6.37 tff(14880,plain,
% 8.86/6.37 (~until5(s84)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[10006, 36, 14879, 14875])).
% 8.86/6.37 tff(14881,plain,
% 8.86/6.37 (~xuntil6(s83)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9995, 14880])).
% 8.86/6.37 tff(14882,plain,
% 8.86/6.37 (~always3(s83)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9254, 14874])).
% 8.86/6.37 tff(14883,plain,
% 8.86/6.37 (~node4(s83)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9982, 22, 14882])).
% 8.86/6.37 tff(14884,plain,
% 8.86/6.37 (xuntil6(s83) | (~until5(s83))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9989, 36, 14883])).
% 8.86/6.37 tff(14885,plain,
% 8.86/6.37 (~until5(s83)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14884, 14881])).
% 8.86/6.37 tff(14886,plain,
% 8.86/6.37 (~xuntil6(s82)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9978, 14885])).
% 8.86/6.37 tff(14887,plain,
% 8.86/6.37 (~always3(s82)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9266, 14882])).
% 8.86/6.37 tff(14888,plain,
% 8.86/6.37 (~node4(s82)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9965, 22, 14887])).
% 8.86/6.37 tff(14889,plain,
% 8.86/6.37 (xuntil6(s82) | (~until5(s82))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9972, 36, 14888])).
% 8.86/6.37 tff(14890,plain,
% 8.86/6.37 (~until5(s82)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14889, 14886])).
% 8.86/6.37 tff(14891,plain,
% 8.86/6.37 (~xuntil6(s81)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9961, 14890])).
% 8.86/6.37 tff(14892,plain,
% 8.86/6.37 (~always3(s81)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9278, 14887])).
% 8.86/6.37 tff(14893,plain,
% 8.86/6.37 (~node4(s81)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9948, 22, 14892])).
% 8.86/6.37 tff(14894,plain,
% 8.86/6.37 (xuntil6(s81) | (~until5(s81))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9955, 36, 14893])).
% 8.86/6.37 tff(14895,plain,
% 8.86/6.37 (~until5(s81)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14894, 14891])).
% 8.86/6.37 tff(14896,plain,
% 8.86/6.37 (~xuntil6(s80)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9944, 14895])).
% 8.86/6.37 tff(14897,plain,
% 8.86/6.37 (~always3(s80)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9290, 14892])).
% 8.86/6.37 tff(14898,plain,
% 8.86/6.37 (~node4(s80)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9931, 22, 14897])).
% 8.86/6.37 tff(14899,plain,
% 8.86/6.37 (xuntil6(s80) | (~until5(s80))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9938, 36, 14898])).
% 8.86/6.37 tff(14900,plain,
% 8.86/6.37 (~until5(s80)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14899, 14896])).
% 8.86/6.37 tff(14901,plain,
% 8.86/6.37 (~xuntil6(s79)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9927, 14900])).
% 8.86/6.37 tff(14902,plain,
% 8.86/6.37 (~always3(s79)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9302, 14897])).
% 8.86/6.37 tff(14903,plain,
% 8.86/6.37 (~node4(s79)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9914, 22, 14902])).
% 8.86/6.37 tff(14904,plain,
% 8.86/6.37 (xuntil6(s79) | (~until5(s79))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9921, 36, 14903])).
% 8.86/6.37 tff(14905,plain,
% 8.86/6.37 (~until5(s79)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14904, 14901])).
% 8.86/6.37 tff(14906,plain,
% 8.86/6.37 (~xuntil6(s78)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9910, 14905])).
% 8.86/6.37 tff(14907,plain,
% 8.86/6.37 (~always3(s78)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9314, 14902])).
% 8.86/6.37 tff(14908,plain,
% 8.86/6.37 (~node4(s78)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9897, 22, 14907])).
% 8.86/6.37 tff(14909,plain,
% 8.86/6.37 (xuntil6(s78) | (~until5(s78))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9904, 36, 14908])).
% 8.86/6.37 tff(14910,plain,
% 8.86/6.37 (~until5(s78)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14909, 14906])).
% 8.86/6.37 tff(14911,plain,
% 8.86/6.37 (~xuntil6(s77)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9893, 14910])).
% 8.86/6.37 tff(14912,plain,
% 8.86/6.37 (~always3(s77)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9326, 14907])).
% 8.86/6.37 tff(14913,plain,
% 8.86/6.37 (~node4(s77)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9880, 22, 14912])).
% 8.86/6.37 tff(14914,plain,
% 8.86/6.37 (xuntil6(s77) | (~until5(s77))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9887, 36, 14913])).
% 8.86/6.37 tff(14915,plain,
% 8.86/6.37 (~until5(s77)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14914, 14911])).
% 8.86/6.37 tff(14916,plain,
% 8.86/6.37 (~xuntil6(s76)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9876, 14915])).
% 8.86/6.37 tff(14917,plain,
% 8.86/6.37 (~always3(s76)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9338, 14912])).
% 8.86/6.37 tff(14918,plain,
% 8.86/6.37 (~node4(s76)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9863, 22, 14917])).
% 8.86/6.37 tff(14919,plain,
% 8.86/6.37 (xuntil6(s76) | (~until5(s76))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9870, 36, 14918])).
% 8.86/6.37 tff(14920,plain,
% 8.86/6.37 (~until5(s76)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14919, 14916])).
% 8.86/6.37 tff(14921,plain,
% 8.86/6.37 (~xuntil6(s75)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9859, 14920])).
% 8.86/6.37 tff(14922,plain,
% 8.86/6.37 (~always3(s75)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9350, 14917])).
% 8.86/6.37 tff(14923,plain,
% 8.86/6.37 (~node4(s75)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9846, 22, 14922])).
% 8.86/6.37 tff(14924,plain,
% 8.86/6.37 (xuntil6(s75) | (~until5(s75))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9853, 36, 14923])).
% 8.86/6.37 tff(14925,plain,
% 8.86/6.37 (~until5(s75)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14924, 14921])).
% 8.86/6.37 tff(14926,plain,
% 8.86/6.37 (~xuntil6(s74)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9842, 14925])).
% 8.86/6.37 tff(14927,plain,
% 8.86/6.37 (~always3(s74)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9362, 14922])).
% 8.86/6.37 tff(14928,plain,
% 8.86/6.37 (~node4(s74)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9829, 22, 14927])).
% 8.86/6.37 tff(14929,plain,
% 8.86/6.37 (xuntil6(s74) | (~until5(s74))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9836, 36, 14928])).
% 8.86/6.37 tff(14930,plain,
% 8.86/6.37 (~until5(s74)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14929, 14926])).
% 8.86/6.37 tff(14931,plain,
% 8.86/6.37 (~xuntil6(s73)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9825, 14930])).
% 8.86/6.37 tff(14932,plain,
% 8.86/6.37 (~always3(s73)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9374, 14927])).
% 8.86/6.37 tff(14933,plain,
% 8.86/6.37 (~node4(s73)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9812, 22, 14932])).
% 8.86/6.37 tff(14934,plain,
% 8.86/6.37 (xuntil6(s73) | (~until5(s73))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9819, 36, 14933])).
% 8.86/6.37 tff(14935,plain,
% 8.86/6.37 (~until5(s73)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14934, 14931])).
% 8.86/6.37 tff(14936,plain,
% 8.86/6.37 (~xuntil6(s72)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9808, 14935])).
% 8.86/6.37 tff(14937,plain,
% 8.86/6.37 (~always3(s72)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9386, 14932])).
% 8.86/6.37 tff(14938,plain,
% 8.86/6.37 (~always3(s71)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9398, 14937])).
% 8.86/6.37 tff(14939,plain,
% 8.86/6.37 (~always3(s70)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9410, 14938])).
% 8.86/6.37 tff(14940,plain,
% 8.86/6.37 (~always3(s69)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9422, 14939])).
% 8.86/6.37 tff(14941,plain,
% 8.86/6.37 (~always3(s68)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9434, 14940])).
% 8.86/6.37 tff(14942,plain,
% 8.86/6.37 (~always3(s67)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9446, 14941])).
% 8.86/6.37 tff(14943,plain,
% 8.86/6.37 (~always3(s66)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9458, 14942])).
% 8.86/6.37 tff(14944,plain,
% 8.86/6.37 (~always3(s65)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9470, 14943])).
% 8.86/6.37 tff(14945,plain,
% 8.86/6.37 (~always3(s64)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9482, 14944])).
% 8.86/6.37 tff(14946,plain,
% 8.86/6.37 (~always3(s63)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9494, 14945])).
% 8.86/6.37 tff(14947,plain,
% 8.86/6.37 (~always3(s62)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9506, 14946])).
% 8.86/6.37 tff(14948,plain,
% 8.86/6.37 (~always3(s61)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9518, 14947])).
% 8.86/6.37 tff(14949,plain,
% 8.86/6.37 (~always3(s60)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9530, 14948])).
% 8.86/6.37 tff(14950,plain,
% 8.86/6.37 (~node4(s60)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9591, 22, 14949])).
% 8.86/6.37 tff(14951,plain,
% 8.86/6.37 (~always3(s59)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9542, 14949])).
% 8.86/6.37 tff(14952,plain,
% 8.86/6.37 (~node4(s59)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9546, 22, 14951])).
% 8.86/6.37 tff(14953,assumption,(until5(s59)), introduced(assumption)).
% 8.86/6.37 tff(14954,plain,
% 8.86/6.37 (xuntil6(s59) | node4(s59)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9582, 36, 14953])).
% 8.86/6.37 tff(14955,plain,
% 8.86/6.37 (xuntil6(s59)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14954, 14952])).
% 8.86/6.37 tff(14956,plain,
% 8.86/6.37 (until5(s60)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9587, 14955])).
% 8.86/6.37 tff(14957,plain,
% 8.86/6.37 (xuntil6(s60)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9598, 36, 14956, 14950])).
% 8.86/6.37 tff(14958,plain,
% 8.86/6.37 (until5(s61)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9604, 14957])).
% 8.86/6.37 tff(14959,plain,
% 8.86/6.37 (~node4(s61)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9608, 22, 14948])).
% 8.86/6.37 tff(14960,plain,
% 8.86/6.37 (xuntil6(s61) | (~until5(s61))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9615, 36, 14959])).
% 8.86/6.37 tff(14961,plain,
% 8.86/6.37 (xuntil6(s61)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14960, 14958])).
% 8.86/6.37 tff(14962,plain,
% 8.86/6.37 (until5(s62)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9621, 14961])).
% 8.86/6.37 tff(14963,plain,
% 8.86/6.37 (~node4(s62)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9625, 22, 14947])).
% 8.86/6.37 tff(14964,plain,
% 8.86/6.37 (xuntil6(s62) | (~until5(s62))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9632, 36, 14963])).
% 8.86/6.37 tff(14965,plain,
% 8.86/6.37 (xuntil6(s62)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14964, 14962])).
% 8.86/6.37 tff(14966,plain,
% 8.86/6.37 (until5(s63)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9638, 14965])).
% 8.86/6.37 tff(14967,plain,
% 8.86/6.37 (~node4(s63)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9642, 22, 14946])).
% 8.86/6.37 tff(14968,plain,
% 8.86/6.37 (xuntil6(s63) | (~until5(s63))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9649, 36, 14967])).
% 8.86/6.37 tff(14969,plain,
% 8.86/6.37 (xuntil6(s63)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14968, 14966])).
% 8.86/6.37 tff(14970,plain,
% 8.86/6.37 (until5(s64)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9655, 14969])).
% 8.86/6.37 tff(14971,plain,
% 8.86/6.37 (~node4(s64)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9659, 22, 14945])).
% 8.86/6.37 tff(14972,plain,
% 8.86/6.37 (xuntil6(s64) | (~until5(s64))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9666, 36, 14971])).
% 8.86/6.37 tff(14973,plain,
% 8.86/6.37 (xuntil6(s64)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14972, 14970])).
% 8.86/6.37 tff(14974,plain,
% 8.86/6.37 (until5(s65)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9672, 14973])).
% 8.86/6.37 tff(14975,plain,
% 8.86/6.37 (~node4(s65)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9676, 22, 14944])).
% 8.86/6.37 tff(14976,plain,
% 8.86/6.37 (xuntil6(s65) | (~until5(s65))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9683, 36, 14975])).
% 8.86/6.37 tff(14977,plain,
% 8.86/6.37 (xuntil6(s65)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14976, 14974])).
% 8.86/6.37 tff(14978,plain,
% 8.86/6.37 (until5(s66)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9689, 14977])).
% 8.86/6.37 tff(14979,plain,
% 8.86/6.37 (~node4(s66)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9693, 22, 14943])).
% 8.86/6.37 tff(14980,plain,
% 8.86/6.37 (xuntil6(s66) | (~until5(s66))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9700, 36, 14979])).
% 8.86/6.37 tff(14981,plain,
% 8.86/6.37 (xuntil6(s66)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14980, 14978])).
% 8.86/6.37 tff(14982,plain,
% 8.86/6.37 (until5(s67)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9706, 14981])).
% 8.86/6.37 tff(14983,plain,
% 8.86/6.37 (~node4(s67)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9710, 22, 14942])).
% 8.86/6.37 tff(14984,plain,
% 8.86/6.37 (xuntil6(s67) | (~until5(s67))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9717, 36, 14983])).
% 8.86/6.37 tff(14985,plain,
% 8.86/6.37 (xuntil6(s67)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14984, 14982])).
% 8.86/6.37 tff(14986,plain,
% 8.86/6.37 (until5(s68)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9723, 14985])).
% 8.86/6.37 tff(14987,plain,
% 8.86/6.37 (~node4(s68)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9727, 22, 14941])).
% 8.86/6.37 tff(14988,plain,
% 8.86/6.37 (xuntil6(s68) | (~until5(s68))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9734, 36, 14987])).
% 8.86/6.37 tff(14989,plain,
% 8.86/6.37 (xuntil6(s68)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14988, 14986])).
% 8.86/6.37 tff(14990,plain,
% 8.86/6.37 (until5(s69)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9740, 14989])).
% 8.86/6.37 tff(14991,plain,
% 8.86/6.37 (~node4(s69)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9744, 22, 14940])).
% 8.86/6.37 tff(14992,plain,
% 8.86/6.37 (xuntil6(s69) | (~until5(s69))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9751, 36, 14991])).
% 8.86/6.37 tff(14993,plain,
% 8.86/6.37 (xuntil6(s69)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14992, 14990])).
% 8.86/6.37 tff(14994,plain,
% 8.86/6.37 (until5(s70)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9757, 14993])).
% 8.86/6.37 tff(14995,plain,
% 8.86/6.37 (~node4(s70)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9761, 22, 14939])).
% 8.86/6.37 tff(14996,plain,
% 8.86/6.37 (xuntil6(s70) | (~until5(s70))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9768, 36, 14995])).
% 8.86/6.37 tff(14997,plain,
% 8.86/6.37 (xuntil6(s70)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14996, 14994])).
% 8.86/6.37 tff(14998,plain,
% 8.86/6.37 (until5(s71)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9774, 14997])).
% 8.86/6.37 tff(14999,plain,
% 8.86/6.37 (~node4(s71)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9778, 22, 14938])).
% 8.86/6.37 tff(15000,plain,
% 8.86/6.37 (xuntil6(s71) | (~until5(s71))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9785, 36, 14999])).
% 8.86/6.37 tff(15001,plain,
% 8.86/6.37 (xuntil6(s71)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15000, 14998])).
% 8.86/6.37 tff(15002,plain,
% 8.86/6.37 (until5(s72)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9791, 15001])).
% 8.86/6.37 tff(15003,plain,
% 8.86/6.37 (~node4(s72)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9795, 22, 14937])).
% 8.86/6.37 tff(15004,plain,
% 8.86/6.37 (xuntil6(s72) | (~until5(s72))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9802, 36, 15003])).
% 8.86/6.37 tff(15005,plain,
% 8.86/6.37 ($false),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15004, 15002, 14936])).
% 8.86/6.37 tff(15006,plain,(always3(s85) | (~until5(s59)) | xuntil6(s85)), inference(lemma,lemma(discharge,[]))).
% 8.86/6.37 tff(15007,plain,
% 8.86/6.37 (always3(s85)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15006, 14872, 14871])).
% 8.86/6.37 tff(15008,plain,
% 8.86/6.37 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s85)) | (~m_main_v_state(s85, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s85)) | (~m_main_v_state(s85, c_busy)))),
% 8.86/6.37 inference(rewrite,[status(thm)],[])).
% 8.86/6.37 tff(15009,plain,
% 8.86/6.37 (((~m_main_v_state(s85, c_busy)) | (~always3(s85))) <=> ((~always3(s85)) | (~m_main_v_state(s85, c_busy)))),
% 8.86/6.37 inference(rewrite,[status(thm)],[])).
% 8.86/6.37 tff(15010,plain,
% 8.86/6.37 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s85, c_busy)) | (~always3(s85)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s85)) | (~m_main_v_state(s85, c_busy))))),
% 8.86/6.37 inference(monotonicity,[status(thm)],[15009])).
% 8.86/6.37 tff(15011,plain,
% 8.86/6.37 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s85, c_busy)) | (~always3(s85)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s85)) | (~m_main_v_state(s85, c_busy)))),
% 8.86/6.37 inference(transitivity,[status(thm)],[15010, 15008])).
% 8.86/6.37 tff(15012,plain,
% 8.86/6.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s85, c_busy)) | (~always3(s85)))),
% 8.86/6.37 inference(quant_inst,[status(thm)],[])).
% 8.86/6.37 tff(15013,plain,
% 8.86/6.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s85)) | (~m_main_v_state(s85, c_busy))),
% 8.86/6.37 inference(modus_ponens,[status(thm)],[15012, 15011])).
% 8.86/6.37 tff(15014,plain,
% 8.86/6.37 (~m_main_v_state(s85, c_busy)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15013, 170, 15007])).
% 8.86/6.37 tff(15015,plain,
% 8.86/6.37 (always3(s86)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9230, 15007])).
% 8.86/6.37 tff(15016,plain,
% 8.86/6.37 (((~![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)))),
% 8.86/6.37 inference(rewrite,[status(thm)],[])).
% 8.86/6.37 tff(15017,plain,
% 8.86/6.37 (((~m_main_v_state(s86, c_busy)) | (~always3(s86))) <=> ((~always3(s86)) | (~m_main_v_state(s86, c_busy)))),
% 8.86/6.37 inference(rewrite,[status(thm)],[])).
% 8.86/6.37 tff(15018,plain,
% 8.86/6.37 (((~![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))))),
% 8.86/6.37 inference(monotonicity,[status(thm)],[15017])).
% 8.86/6.37 tff(15019,plain,
% 8.86/6.37 (((~![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)))),
% 8.86/6.37 inference(transitivity,[status(thm)],[15018, 15016])).
% 8.86/6.37 tff(15020,plain,
% 8.86/6.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s86, c_busy)) | (~always3(s86)))),
% 8.86/6.37 inference(quant_inst,[status(thm)],[])).
% 8.86/6.37 tff(15021,plain,
% 8.86/6.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s86)) | (~m_main_v_state(s86, c_busy))),
% 8.86/6.37 inference(modus_ponens,[status(thm)],[15020, 15019])).
% 8.86/6.37 tff(15022,plain,
% 8.86/6.37 (~m_main_v_state(s86, c_busy)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15021, 170, 15015])).
% 8.86/6.37 tff(15023,plain,
% 8.86/6.37 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s85, c_busy) | m_main_v_state(s85, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s85, c_busy) | m_main_v_state(s85, c_ready))),
% 8.86/6.37 inference(rewrite,[status(thm)],[])).
% 8.86/6.37 tff(15024,plain,
% 8.86/6.37 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s85, c_busy) | m_main_v_state(s85, c_ready))),
% 8.86/6.37 inference(quant_inst,[status(thm)],[])).
% 8.86/6.37 tff(15025,plain,
% 8.86/6.37 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s85, c_busy) | m_main_v_state(s85, c_ready)),
% 8.86/6.37 inference(modus_ponens,[status(thm)],[15024, 15023])).
% 8.86/6.37 tff(15026,plain,
% 8.86/6.37 (m_main_v_state(s85, c_ready)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15025, 213, 15014])).
% 8.86/6.37 tff(15027,plain,
% 8.86/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s85, s86)) | node2(s85, s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s85, s86)) | node2(s85, s86))),
% 8.86/6.37 inference(rewrite,[status(thm)],[])).
% 8.86/6.37 tff(15028,plain,
% 8.86/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s85, s86)) | node2(s85, s86))),
% 8.86/6.37 inference(quant_inst,[status(thm)],[])).
% 8.86/6.37 tff(15029,plain,
% 8.86/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s85, s86)) | node2(s85, s86)),
% 8.86/6.37 inference(modus_ponens,[status(thm)],[15028, 15027])).
% 8.86/6.37 tff(15030,plain,
% 8.86/6.37 (node2(s85, s86)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15029, 7, 9226])).
% 8.86/6.37 tff(15031,plain,
% 8.86/6.37 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s85, c_ready)) | (~node2(s85, s86)) | m_main_v_state(s86, c_busy) | (~m_main_v_request(s85)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s85, c_ready)) | (~node2(s85, s86)) | m_main_v_state(s86, c_busy) | (~m_main_v_request(s85)))),
% 8.86/6.37 inference(rewrite,[status(thm)],[])).
% 8.86/6.37 tff(15032,plain,
% 8.86/6.37 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s85, c_ready)) | (~node2(s85, s86)) | m_main_v_state(s86, c_busy) | (~m_main_v_request(s85)))),
% 8.86/6.37 inference(quant_inst,[status(thm)],[])).
% 8.86/6.37 tff(15033,plain,
% 8.86/6.37 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s85, c_ready)) | (~node2(s85, s86)) | m_main_v_state(s86, c_busy) | (~m_main_v_request(s85))),
% 8.86/6.37 inference(modus_ponens,[status(thm)],[15032, 15031])).
% 8.86/6.37 tff(15034,plain,
% 8.86/6.37 ((~m_main_v_state(s85, c_ready)) | m_main_v_state(s86, c_busy) | (~m_main_v_request(s85))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15033, 191, 15030])).
% 8.86/6.37 tff(15035,plain,
% 8.86/6.37 (~m_main_v_request(s85)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15034, 15026, 15022])).
% 8.86/6.37 tff(15036,plain,
% 8.86/6.37 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s85) | (~node4(s85)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s85) | (~node4(s85)))),
% 8.86/6.37 inference(rewrite,[status(thm)],[])).
% 8.86/6.37 tff(15037,plain,
% 8.86/6.37 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s85) | (~node4(s85)))),
% 8.86/6.37 inference(quant_inst,[status(thm)],[])).
% 8.86/6.37 tff(15038,plain,
% 8.86/6.37 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s85) | (~node4(s85))),
% 8.86/6.37 inference(modus_ponens,[status(thm)],[15037, 15036])).
% 8.86/6.37 tff(15039,plain,
% 8.86/6.37 (~node4(s85)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15038, 154, 15035])).
% 8.86/6.37 tff(15040,plain,
% 8.86/6.37 (~until5(s85)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14877, 15039])).
% 8.86/6.37 tff(15041,plain,
% 8.86/6.37 (~xuntil6(s84)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[10012, 15040])).
% 8.86/6.37 tff(15042,assumption,(~always3(s78)), introduced(assumption)).
% 8.86/6.37 tff(15043,plain,
% 8.86/6.37 (~always3(s77)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9326, 15042])).
% 8.86/6.37 tff(15044,plain,
% 8.86/6.37 (~always3(s76)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9338, 15043])).
% 8.86/6.37 tff(15045,plain,
% 8.86/6.37 (~always3(s75)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9350, 15044])).
% 8.86/6.37 tff(15046,plain,
% 8.86/6.37 (~always3(s74)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9362, 15045])).
% 8.86/6.37 tff(15047,plain,
% 8.86/6.37 (~always3(s73)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9374, 15046])).
% 8.86/6.37 tff(15048,plain,
% 8.86/6.37 (~always3(s72)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9386, 15047])).
% 8.86/6.37 tff(15049,plain,
% 8.86/6.37 (~always3(s71)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9398, 15048])).
% 8.86/6.37 tff(15050,plain,
% 8.86/6.37 (~always3(s70)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9410, 15049])).
% 8.86/6.37 tff(15051,plain,
% 8.86/6.37 (~always3(s69)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9422, 15050])).
% 8.86/6.37 tff(15052,plain,
% 8.86/6.37 (~always3(s68)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9434, 15051])).
% 8.86/6.37 tff(15053,plain,
% 8.86/6.37 (~always3(s67)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9446, 15052])).
% 8.86/6.37 tff(15054,plain,
% 8.86/6.37 (~always3(s66)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9458, 15053])).
% 8.86/6.37 tff(15055,plain,
% 8.86/6.37 (~always3(s65)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9470, 15054])).
% 8.86/6.37 tff(15056,plain,
% 8.86/6.37 (~always3(s64)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9482, 15055])).
% 8.86/6.37 tff(15057,plain,
% 8.86/6.37 (~always3(s63)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9494, 15056])).
% 8.86/6.37 tff(15058,plain,
% 8.86/6.37 (~always3(s62)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9506, 15057])).
% 8.86/6.37 tff(15059,plain,
% 8.86/6.37 (~always3(s61)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9518, 15058])).
% 8.86/6.37 tff(15060,plain,
% 8.86/6.37 (~always3(s60)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9530, 15059])).
% 8.86/6.37 tff(15061,plain,
% 8.86/6.37 (~always3(s59)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9542, 15060])).
% 8.86/6.37 tff(15062,plain,
% 8.86/6.37 (~always3(s58)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9558, 15061])).
% 8.86/6.37 tff(15063,plain,
% 8.86/6.37 (~node4(s58)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9562, 22, 15062])).
% 8.86/6.37 tff(15064,plain,
% 8.86/6.37 (xuntil6(s58)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9570, 15063])).
% 8.86/6.37 tff(15065,plain,
% 8.86/6.37 (until5(s59)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9575, 15064])).
% 8.86/6.37 tff(15066,plain,
% 8.86/6.37 (always3(s85)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15006, 15065, 14872])).
% 8.86/6.37 tff(15067,plain,
% 8.86/6.37 (~m_main_v_state(s85, c_busy)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15013, 170, 15066])).
% 8.86/6.37 tff(15068,plain,
% 8.86/6.37 (always3(s86)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9230, 15066])).
% 8.86/6.37 tff(15069,plain,
% 8.86/6.37 (~m_main_v_state(s86, c_busy)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15021, 170, 15068])).
% 8.86/6.37 tff(15070,plain,
% 8.86/6.37 (m_main_v_state(s85, c_ready)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15025, 213, 15067])).
% 8.86/6.37 tff(15071,plain,
% 8.86/6.37 (~m_main_v_request(s85)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15034, 15070, 15069])).
% 8.86/6.37 tff(15072,plain,
% 8.86/6.37 (~node4(s85)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15038, 154, 15071])).
% 8.86/6.37 tff(15073,plain,
% 8.86/6.37 (~until5(s85)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[14877, 15072])).
% 8.86/6.37 tff(15074,plain,
% 8.86/6.37 (~xuntil6(s84)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[10012, 15073])).
% 8.86/6.37 tff(15075,assumption,(~xuntil6(s84)), introduced(assumption)).
% 8.86/6.37 tff(15076,assumption,(until5(s81)), introduced(assumption)).
% 8.86/6.37 tff(15077,assumption,(~always3(s84)), introduced(assumption)).
% 8.86/6.37 tff(15078,plain,
% 8.86/6.37 (~always3(s83)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9254, 15077])).
% 8.86/6.37 tff(15079,plain,
% 8.86/6.37 (~always3(s82)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9266, 15078])).
% 8.86/6.37 tff(15080,plain,
% 8.86/6.37 (~node4(s82)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9965, 22, 15079])).
% 8.86/6.37 tff(15081,plain,
% 8.86/6.37 (~always3(s81)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9278, 15079])).
% 8.86/6.37 tff(15082,plain,
% 8.86/6.37 (~node4(s81)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9948, 22, 15081])).
% 8.86/6.37 tff(15083,plain,
% 8.86/6.37 (xuntil6(s81) | node4(s81)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9955, 36, 15076])).
% 8.86/6.37 tff(15084,plain,
% 8.86/6.37 (xuntil6(s81)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15083, 15082])).
% 8.86/6.37 tff(15085,plain,
% 8.86/6.37 (until5(s82)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9961, 15084])).
% 8.86/6.37 tff(15086,plain,
% 8.86/6.37 (xuntil6(s82)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9972, 36, 15085, 15080])).
% 8.86/6.37 tff(15087,plain,
% 8.86/6.37 (until5(s83)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9978, 15086])).
% 8.86/6.37 tff(15088,plain,
% 8.86/6.37 (~node4(s83)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9982, 22, 15078])).
% 8.86/6.37 tff(15089,plain,
% 8.86/6.37 (xuntil6(s83) | (~until5(s83))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9989, 36, 15088])).
% 8.86/6.37 tff(15090,plain,
% 8.86/6.37 (xuntil6(s83)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15089, 15087])).
% 8.86/6.37 tff(15091,plain,
% 8.86/6.37 (until5(s84)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9995, 15090])).
% 8.86/6.37 tff(15092,plain,
% 8.86/6.37 (node4(s84) | (~until5(s84))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[10006, 36, 15075])).
% 8.86/6.37 tff(15093,plain,
% 8.86/6.37 (node4(s84)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15092, 15091])).
% 8.86/6.37 tff(15094,plain,
% 8.86/6.37 ($false),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9999, 22, 15077, 15093])).
% 8.86/6.37 tff(15095,plain,(always3(s84) | xuntil6(s84) | (~until5(s81))), inference(lemma,lemma(discharge,[]))).
% 8.86/6.37 tff(15096,plain,
% 8.86/6.37 (always3(s84)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15095, 15076, 15075])).
% 8.86/6.37 tff(15097,plain,
% 8.86/6.37 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s84)) | (~m_main_v_state(s84, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s84)) | (~m_main_v_state(s84, c_busy)))),
% 8.86/6.37 inference(rewrite,[status(thm)],[])).
% 8.86/6.37 tff(15098,plain,
% 8.86/6.37 (((~m_main_v_state(s84, c_busy)) | (~always3(s84))) <=> ((~always3(s84)) | (~m_main_v_state(s84, c_busy)))),
% 8.86/6.37 inference(rewrite,[status(thm)],[])).
% 8.86/6.37 tff(15099,plain,
% 8.86/6.37 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s84, c_busy)) | (~always3(s84)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s84)) | (~m_main_v_state(s84, c_busy))))),
% 8.86/6.37 inference(monotonicity,[status(thm)],[15098])).
% 8.86/6.37 tff(15100,plain,
% 8.86/6.37 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s84, c_busy)) | (~always3(s84)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s84)) | (~m_main_v_state(s84, c_busy)))),
% 8.86/6.37 inference(transitivity,[status(thm)],[15099, 15097])).
% 8.86/6.37 tff(15101,plain,
% 8.86/6.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s84, c_busy)) | (~always3(s84)))),
% 8.86/6.37 inference(quant_inst,[status(thm)],[])).
% 8.86/6.37 tff(15102,plain,
% 8.86/6.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s84)) | (~m_main_v_state(s84, c_busy))),
% 8.86/6.37 inference(modus_ponens,[status(thm)],[15101, 15100])).
% 8.86/6.37 tff(15103,plain,
% 8.86/6.37 (~m_main_v_state(s84, c_busy)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15102, 170, 15096])).
% 8.86/6.37 tff(15104,assumption,(~m_main_v_state(s84, c_busy)), introduced(assumption)).
% 8.86/6.37 tff(15105,assumption,(node4(s83)), introduced(assumption)).
% 8.86/6.37 tff(15106,plain,
% 8.86/6.37 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s83) | (~node4(s83)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s83) | (~node4(s83)))),
% 8.86/6.37 inference(rewrite,[status(thm)],[])).
% 8.86/6.37 tff(15107,plain,
% 8.86/6.37 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s83) | (~node4(s83)))),
% 8.86/6.37 inference(quant_inst,[status(thm)],[])).
% 8.86/6.37 tff(15108,plain,
% 8.86/6.37 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s83) | (~node4(s83))),
% 8.86/6.37 inference(modus_ponens,[status(thm)],[15107, 15106])).
% 8.86/6.37 tff(15109,plain,
% 8.86/6.37 (m_main_v_request(s83)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15108, 154, 15105])).
% 8.86/6.37 tff(15110,plain,
% 8.86/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s83, s84)) | node2(s83, s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s83, s84)) | node2(s83, s84))),
% 8.86/6.37 inference(rewrite,[status(thm)],[])).
% 8.86/6.37 tff(15111,plain,
% 8.86/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s83, s84)) | node2(s83, s84))),
% 8.86/6.37 inference(quant_inst,[status(thm)],[])).
% 8.86/6.37 tff(15112,plain,
% 8.86/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s83, s84)) | node2(s83, s84)),
% 8.86/6.37 inference(modus_ponens,[status(thm)],[15111, 15110])).
% 8.86/6.37 tff(15113,plain,
% 8.86/6.37 (node2(s83, s84)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15112, 7, 9250])).
% 8.86/6.37 tff(15114,plain,
% 8.86/6.37 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s83, c_ready)) | (~node2(s83, s84)) | m_main_v_state(s84, c_busy) | (~m_main_v_request(s83)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s83, c_ready)) | (~node2(s83, s84)) | m_main_v_state(s84, c_busy) | (~m_main_v_request(s83)))),
% 8.86/6.37 inference(rewrite,[status(thm)],[])).
% 8.86/6.37 tff(15115,plain,
% 8.86/6.37 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s83, c_ready)) | (~node2(s83, s84)) | m_main_v_state(s84, c_busy) | (~m_main_v_request(s83)))),
% 8.86/6.37 inference(quant_inst,[status(thm)],[])).
% 8.86/6.37 tff(15116,plain,
% 8.86/6.37 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s83, c_ready)) | (~node2(s83, s84)) | m_main_v_state(s84, c_busy) | (~m_main_v_request(s83))),
% 8.86/6.37 inference(modus_ponens,[status(thm)],[15115, 15114])).
% 8.86/6.37 tff(15117,plain,
% 8.86/6.37 ((~m_main_v_state(s83, c_ready)) | m_main_v_state(s84, c_busy) | (~m_main_v_request(s83))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15116, 191, 15113])).
% 8.86/6.37 tff(15118,plain,
% 8.86/6.37 (~m_main_v_state(s83, c_ready)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15117, 15109, 15104])).
% 8.86/6.37 tff(15119,plain,
% 8.86/6.37 (always3(s83)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9982, 22, 15105])).
% 8.86/6.37 tff(15120,plain,
% 8.86/6.37 (((~![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)))),
% 8.86/6.37 inference(rewrite,[status(thm)],[])).
% 8.86/6.37 tff(15121,plain,
% 8.86/6.37 (((~m_main_v_state(s83, c_busy)) | (~always3(s83))) <=> ((~always3(s83)) | (~m_main_v_state(s83, c_busy)))),
% 8.86/6.37 inference(rewrite,[status(thm)],[])).
% 8.86/6.37 tff(15122,plain,
% 8.86/6.37 (((~![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))))),
% 8.86/6.37 inference(monotonicity,[status(thm)],[15121])).
% 8.86/6.37 tff(15123,plain,
% 8.86/6.37 (((~![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)))),
% 8.86/6.37 inference(transitivity,[status(thm)],[15122, 15120])).
% 8.86/6.37 tff(15124,plain,
% 8.86/6.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s83, c_busy)) | (~always3(s83)))),
% 8.86/6.37 inference(quant_inst,[status(thm)],[])).
% 8.86/6.37 tff(15125,plain,
% 8.86/6.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s83)) | (~m_main_v_state(s83, c_busy))),
% 8.86/6.37 inference(modus_ponens,[status(thm)],[15124, 15123])).
% 8.86/6.37 tff(15126,plain,
% 8.86/6.37 (~m_main_v_state(s83, c_busy)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15125, 170, 15119])).
% 8.86/6.37 tff(15127,plain,
% 8.86/6.37 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s83, c_busy) | m_main_v_state(s83, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s83, c_busy) | m_main_v_state(s83, c_ready))),
% 8.86/6.37 inference(rewrite,[status(thm)],[])).
% 8.86/6.37 tff(15128,plain,
% 8.86/6.37 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s83, c_busy) | m_main_v_state(s83, c_ready))),
% 8.86/6.37 inference(quant_inst,[status(thm)],[])).
% 8.86/6.37 tff(15129,plain,
% 8.86/6.37 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s83, c_busy) | m_main_v_state(s83, c_ready)),
% 8.86/6.37 inference(modus_ponens,[status(thm)],[15128, 15127])).
% 8.86/6.37 tff(15130,plain,
% 8.86/6.37 ($false),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15129, 213, 15126, 15118])).
% 8.86/6.37 tff(15131,plain,((~node4(s83)) | m_main_v_state(s84, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.86/6.37 tff(15132,plain,
% 8.86/6.37 (~node4(s83)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15131, 15103])).
% 8.86/6.37 tff(15133,assumption,(~m_main_v_state(s85, c_busy)), introduced(assumption)).
% 8.86/6.37 tff(15134,plain,
% 8.86/6.37 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s84, c_busy) | m_main_v_state(s84, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s84, c_busy) | m_main_v_state(s84, c_ready))),
% 8.86/6.37 inference(rewrite,[status(thm)],[])).
% 8.86/6.37 tff(15135,plain,
% 8.86/6.37 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s84, c_busy) | m_main_v_state(s84, c_ready))),
% 8.86/6.37 inference(quant_inst,[status(thm)],[])).
% 8.86/6.37 tff(15136,plain,
% 8.86/6.37 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s84, c_busy) | m_main_v_state(s84, c_ready)),
% 8.86/6.37 inference(modus_ponens,[status(thm)],[15135, 15134])).
% 8.86/6.37 tff(15137,plain,
% 8.86/6.37 (m_main_v_state(s84, c_ready)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15136, 213, 15103])).
% 8.86/6.37 tff(15138,plain,
% 8.86/6.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s84, s85)) | node2(s84, s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s84, s85)) | node2(s84, s85))),
% 8.86/6.37 inference(rewrite,[status(thm)],[])).
% 8.86/6.37 tff(15139,plain,
% 8.86/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s84, s85)) | node2(s84, s85))),
% 8.86/6.37 inference(quant_inst,[status(thm)],[])).
% 8.86/6.37 tff(15140,plain,
% 8.86/6.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s84, s85)) | node2(s84, s85)),
% 8.86/6.37 inference(modus_ponens,[status(thm)],[15139, 15138])).
% 8.86/6.37 tff(15141,plain,
% 8.86/6.37 (node2(s84, s85)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15140, 7, 9238])).
% 8.86/6.37 tff(15142,plain,
% 8.86/6.37 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s84, c_ready)) | (~node2(s84, s85)) | m_main_v_state(s85, c_busy) | (~m_main_v_request(s84)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s84, c_ready)) | (~node2(s84, s85)) | m_main_v_state(s85, c_busy) | (~m_main_v_request(s84)))),
% 8.86/6.37 inference(rewrite,[status(thm)],[])).
% 8.86/6.37 tff(15143,plain,
% 8.86/6.37 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s84, c_ready)) | (~node2(s84, s85)) | m_main_v_state(s85, c_busy) | (~m_main_v_request(s84)))),
% 8.86/6.37 inference(quant_inst,[status(thm)],[])).
% 8.86/6.37 tff(15144,plain,
% 8.86/6.37 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s84, c_ready)) | (~node2(s84, s85)) | m_main_v_state(s85, c_busy) | (~m_main_v_request(s84))),
% 8.86/6.37 inference(modus_ponens,[status(thm)],[15143, 15142])).
% 8.86/6.37 tff(15145,plain,
% 8.86/6.37 ((~m_main_v_state(s84, c_ready)) | m_main_v_state(s85, c_busy) | (~m_main_v_request(s84))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15144, 191, 15141])).
% 8.86/6.37 tff(15146,plain,
% 8.86/6.37 (~m_main_v_request(s84)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15145, 15137, 15133])).
% 8.86/6.37 tff(15147,plain,
% 8.86/6.37 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s84) | (~node4(s84)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s84) | (~node4(s84)))),
% 8.86/6.37 inference(rewrite,[status(thm)],[])).
% 8.86/6.37 tff(15148,plain,
% 8.86/6.37 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s84) | (~node4(s84)))),
% 8.86/6.37 inference(quant_inst,[status(thm)],[])).
% 8.86/6.37 tff(15149,plain,
% 8.86/6.37 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s84) | (~node4(s84))),
% 8.86/6.37 inference(modus_ponens,[status(thm)],[15148, 15147])).
% 8.86/6.37 tff(15150,plain,
% 8.86/6.37 (~node4(s84)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15149, 154, 15146])).
% 8.86/6.37 tff(15151,plain,
% 8.86/6.37 (~until5(s84)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15092, 15150])).
% 8.86/6.37 tff(15152,plain,
% 8.86/6.37 (~xuntil6(s83)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9995, 15151])).
% 8.86/6.37 tff(15153,plain,
% 8.86/6.37 (node4(s83) | (~until5(s83))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9989, 36, 15152])).
% 8.86/6.37 tff(15154,plain,
% 8.86/6.37 (~until5(s83)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15153, 15132])).
% 8.86/6.37 tff(15155,plain,
% 8.86/6.37 (~xuntil6(s82)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9978, 15154])).
% 8.86/6.37 tff(15156,assumption,(~always3(s82)), introduced(assumption)).
% 8.86/6.37 tff(15157,plain,
% 8.86/6.37 (~node4(s82)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9965, 22, 15156])).
% 8.86/6.37 tff(15158,assumption,(~xuntil6(s82)), introduced(assumption)).
% 8.86/6.37 tff(15159,plain,
% 8.86/6.37 (node4(s82) | (~until5(s82))),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9972, 36, 15158])).
% 8.86/6.37 tff(15160,plain,
% 8.86/6.37 (~until5(s82)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15159, 15157])).
% 8.86/6.37 tff(15161,plain,
% 8.86/6.37 (~always3(s81)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9278, 15156])).
% 8.86/6.37 tff(15162,plain,
% 8.86/6.37 (~node4(s81)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9948, 22, 15161])).
% 8.86/6.37 tff(15163,plain,
% 8.86/6.37 (xuntil6(s81)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15083, 15162])).
% 8.86/6.37 tff(15164,plain,
% 8.86/6.37 ($false),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[9961, 15163, 15160])).
% 8.86/6.37 tff(15165,plain,(always3(s82) | (~until5(s81)) | xuntil6(s82)), inference(lemma,lemma(discharge,[]))).
% 8.86/6.37 tff(15166,plain,
% 8.86/6.37 (always3(s82)),
% 8.86/6.37 inference(unit_resolution,[status(thm)],[15165, 15076, 15155])).
% 8.86/6.37 tff(15167,plain,
% 8.86/6.37 (((~![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)))),
% 8.86/6.37 inference(rewrite,[status(thm)],[])).
% 8.86/6.37 tff(15168,plain,
% 8.86/6.37 (((~m_main_v_state(s82, c_busy)) | (~always3(s82))) <=> ((~always3(s82)) | (~m_main_v_state(s82, c_busy)))),
% 8.86/6.37 inference(rewrite,[status(thm)],[])).
% 8.86/6.37 tff(15169,plain,
% 8.86/6.37 (((~![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))))),
% 8.86/6.37 inference(monotonicity,[status(thm)],[15168])).
% 8.86/6.37 tff(15170,plain,
% 8.86/6.37 (((~![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)))),
% 8.86/6.37 inference(transitivity,[status(thm)],[15169, 15167])).
% 8.86/6.37 tff(15171,plain,
% 8.86/6.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s82, c_busy)) | (~always3(s82)))),
% 8.86/6.37 inference(quant_inst,[status(thm)],[])).
% 8.86/6.37 tff(15172,plain,
% 8.86/6.37 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s82)) | (~m_main_v_state(s82, c_busy))),
% 8.86/6.37 inference(modus_ponens,[status(thm)],[15171, 15170])).
% 8.86/6.37 tff(15173,plain,
% 8.86/6.37 (~m_main_v_state(s82, c_busy)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15172, 170, 15166])).
% 8.86/6.38 tff(15174,plain,
% 8.86/6.38 (always3(s83)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9266, 15166])).
% 8.86/6.38 tff(15175,plain,
% 8.86/6.38 (~m_main_v_state(s83, c_busy)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15125, 170, 15174])).
% 8.86/6.38 tff(15176,plain,
% 8.86/6.38 (((~![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))),
% 8.86/6.38 inference(rewrite,[status(thm)],[])).
% 8.86/6.38 tff(15177,plain,
% 8.86/6.38 ((~![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))),
% 8.86/6.38 inference(quant_inst,[status(thm)],[])).
% 8.86/6.38 tff(15178,plain,
% 8.86/6.38 ((~![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)),
% 8.86/6.38 inference(modus_ponens,[status(thm)],[15177, 15176])).
% 8.86/6.38 tff(15179,plain,
% 8.86/6.38 (m_main_v_state(s82, c_ready)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15178, 213, 15173])).
% 8.86/6.38 tff(15180,plain,
% 8.86/6.38 (((~![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))),
% 8.86/6.38 inference(rewrite,[status(thm)],[])).
% 8.86/6.38 tff(15181,plain,
% 8.86/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s82, s83)) | node2(s82, s83))),
% 8.86/6.38 inference(quant_inst,[status(thm)],[])).
% 8.86/6.38 tff(15182,plain,
% 8.86/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s82, s83)) | node2(s82, s83)),
% 8.86/6.38 inference(modus_ponens,[status(thm)],[15181, 15180])).
% 8.86/6.38 tff(15183,plain,
% 8.86/6.38 (node2(s82, s83)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15182, 7, 9262])).
% 8.86/6.38 tff(15184,plain,
% 8.86/6.38 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.86/6.38 inference(rewrite,[status(thm)],[])).
% 8.86/6.38 tff(15185,plain,
% 8.86/6.38 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.86/6.38 inference(quant_inst,[status(thm)],[])).
% 8.86/6.38 tff(15186,plain,
% 8.86/6.38 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.86/6.38 inference(modus_ponens,[status(thm)],[15185, 15184])).
% 8.86/6.38 tff(15187,plain,
% 8.86/6.38 ((~m_main_v_state(s82, c_ready)) | m_main_v_state(s83, c_busy) | (~m_main_v_request(s82))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15186, 191, 15183])).
% 8.86/6.38 tff(15188,plain,
% 8.86/6.38 (~m_main_v_request(s82)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15187, 15179, 15175])).
% 8.86/6.38 tff(15189,plain,
% 8.86/6.38 (((~![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)))),
% 8.86/6.38 inference(rewrite,[status(thm)],[])).
% 8.86/6.38 tff(15190,plain,
% 8.86/6.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s82) | (~node4(s82)))),
% 8.86/6.38 inference(quant_inst,[status(thm)],[])).
% 8.86/6.38 tff(15191,plain,
% 8.86/6.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s82) | (~node4(s82))),
% 8.86/6.38 inference(modus_ponens,[status(thm)],[15190, 15189])).
% 8.86/6.38 tff(15192,plain,
% 8.86/6.38 (~node4(s82)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15191, 154, 15188])).
% 8.86/6.38 tff(15193,plain,
% 8.86/6.38 (node4(s82) | (~until5(s82))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9972, 36, 15155])).
% 8.86/6.38 tff(15194,plain,
% 8.86/6.38 (~until5(s82)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15193, 15192])).
% 8.86/6.38 tff(15195,plain,
% 8.86/6.38 (~xuntil6(s81)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9961, 15194])).
% 8.86/6.38 tff(15196,plain,
% 8.86/6.38 (node4(s81)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15083, 15195])).
% 8.86/6.38 tff(15197,plain,
% 8.86/6.38 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s81) | (~node4(s81)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s81) | (~node4(s81)))),
% 8.86/6.38 inference(rewrite,[status(thm)],[])).
% 8.86/6.38 tff(15198,plain,
% 8.86/6.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s81) | (~node4(s81)))),
% 8.86/6.38 inference(quant_inst,[status(thm)],[])).
% 8.86/6.38 tff(15199,plain,
% 8.86/6.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s81) | (~node4(s81))),
% 8.86/6.38 inference(modus_ponens,[status(thm)],[15198, 15197])).
% 8.86/6.38 tff(15200,plain,
% 8.86/6.38 (m_main_v_request(s81)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15199, 154, 15196])).
% 8.86/6.38 tff(15201,plain,
% 8.86/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s81, s82)) | node2(s81, s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s81, s82)) | node2(s81, s82))),
% 8.86/6.38 inference(rewrite,[status(thm)],[])).
% 8.86/6.38 tff(15202,plain,
% 8.86/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s81, s82)) | node2(s81, s82))),
% 8.86/6.38 inference(quant_inst,[status(thm)],[])).
% 8.86/6.38 tff(15203,plain,
% 8.86/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s81, s82)) | node2(s81, s82)),
% 8.86/6.38 inference(modus_ponens,[status(thm)],[15202, 15201])).
% 8.86/6.38 tff(15204,plain,
% 8.86/6.38 (node2(s81, s82)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15203, 7, 9274])).
% 8.86/6.38 tff(15205,plain,
% 8.86/6.38 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s81, c_ready)) | (~node2(s81, s82)) | m_main_v_state(s82, c_busy) | (~m_main_v_request(s81)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s81, c_ready)) | (~node2(s81, s82)) | m_main_v_state(s82, c_busy) | (~m_main_v_request(s81)))),
% 8.86/6.38 inference(rewrite,[status(thm)],[])).
% 8.86/6.38 tff(15206,plain,
% 8.86/6.38 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s81, c_ready)) | (~node2(s81, s82)) | m_main_v_state(s82, c_busy) | (~m_main_v_request(s81)))),
% 8.86/6.38 inference(quant_inst,[status(thm)],[])).
% 8.86/6.38 tff(15207,plain,
% 8.86/6.38 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s81, c_ready)) | (~node2(s81, s82)) | m_main_v_state(s82, c_busy) | (~m_main_v_request(s81))),
% 8.86/6.38 inference(modus_ponens,[status(thm)],[15206, 15205])).
% 8.86/6.38 tff(15208,plain,
% 8.86/6.38 ((~m_main_v_state(s81, c_ready)) | m_main_v_state(s82, c_busy) | (~m_main_v_request(s81))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15207, 191, 15204])).
% 8.86/6.38 tff(15209,plain,
% 8.86/6.38 (~m_main_v_state(s81, c_ready)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15208, 15200, 15173])).
% 8.86/6.38 tff(15210,plain,
% 8.86/6.38 (always3(s81)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9948, 22, 15196])).
% 8.86/6.38 tff(15211,plain,
% 8.86/6.38 (((~![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)))),
% 8.86/6.38 inference(rewrite,[status(thm)],[])).
% 8.86/6.38 tff(15212,plain,
% 8.86/6.38 (((~m_main_v_state(s81, c_busy)) | (~always3(s81))) <=> ((~always3(s81)) | (~m_main_v_state(s81, c_busy)))),
% 8.86/6.38 inference(rewrite,[status(thm)],[])).
% 8.86/6.38 tff(15213,plain,
% 8.86/6.38 (((~![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))))),
% 8.86/6.38 inference(monotonicity,[status(thm)],[15212])).
% 8.86/6.38 tff(15214,plain,
% 8.86/6.38 (((~![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)))),
% 8.86/6.38 inference(transitivity,[status(thm)],[15213, 15211])).
% 8.86/6.38 tff(15215,plain,
% 8.86/6.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s81, c_busy)) | (~always3(s81)))),
% 8.86/6.38 inference(quant_inst,[status(thm)],[])).
% 8.86/6.38 tff(15216,plain,
% 8.86/6.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s81)) | (~m_main_v_state(s81, c_busy))),
% 8.86/6.38 inference(modus_ponens,[status(thm)],[15215, 15214])).
% 8.86/6.38 tff(15217,plain,
% 8.86/6.38 (~m_main_v_state(s81, c_busy)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15216, 170, 15210])).
% 8.86/6.38 tff(15218,plain,
% 8.86/6.38 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s81, c_busy) | m_main_v_state(s81, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s81, c_busy) | m_main_v_state(s81, c_ready))),
% 8.86/6.38 inference(rewrite,[status(thm)],[])).
% 8.86/6.38 tff(15219,plain,
% 8.86/6.38 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s81, c_busy) | m_main_v_state(s81, c_ready))),
% 8.86/6.38 inference(quant_inst,[status(thm)],[])).
% 8.86/6.38 tff(15220,plain,
% 8.86/6.38 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s81, c_busy) | m_main_v_state(s81, c_ready)),
% 8.86/6.38 inference(modus_ponens,[status(thm)],[15219, 15218])).
% 8.86/6.38 tff(15221,plain,
% 8.86/6.38 ($false),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15220, 213, 15217, 15209])).
% 8.86/6.38 tff(15222,plain,((~until5(s81)) | xuntil6(s84) | m_main_v_state(s85, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.86/6.38 tff(15223,plain,
% 8.86/6.38 (~until5(s81)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15222, 15074, 15067])).
% 8.86/6.38 tff(15224,plain,
% 8.86/6.38 (~xuntil6(s80)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9944, 15223])).
% 8.86/6.38 tff(15225,assumption,(~always3(s80)), introduced(assumption)).
% 8.86/6.38 tff(15226,plain,
% 8.86/6.38 (~always3(s79)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9302, 15225])).
% 8.86/6.38 tff(15227,plain,
% 8.86/6.38 (~node4(s79)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9914, 22, 15226])).
% 8.86/6.38 tff(15228,plain,
% 8.86/6.38 (~node4(s80)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9931, 22, 15225])).
% 8.86/6.38 tff(15229,assumption,(~xuntil6(s80)), introduced(assumption)).
% 8.86/6.38 tff(15230,plain,
% 8.86/6.38 (node4(s80) | (~until5(s80))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9938, 36, 15229])).
% 8.86/6.38 tff(15231,plain,
% 8.86/6.38 (~until5(s80)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15230, 15228])).
% 8.86/6.38 tff(15232,plain,
% 8.86/6.38 (~xuntil6(s79)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9927, 15231])).
% 8.86/6.38 tff(15233,plain,
% 8.86/6.38 (~until5(s79)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9921, 36, 15232, 15227])).
% 8.86/6.38 tff(15234,plain,
% 8.86/6.38 (~xuntil6(s78)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9910, 15233])).
% 8.86/6.38 tff(15235,plain,
% 8.86/6.38 (~always3(s78)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9314, 15226])).
% 8.86/6.38 tff(15236,plain,
% 8.86/6.38 (~node4(s78)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9897, 22, 15235])).
% 8.86/6.38 tff(15237,plain,
% 8.86/6.38 (xuntil6(s78) | (~until5(s78))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9904, 36, 15236])).
% 8.86/6.38 tff(15238,plain,
% 8.86/6.38 (~until5(s78)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15237, 15234])).
% 8.86/6.38 tff(15239,plain,
% 8.86/6.38 (~xuntil6(s77)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9893, 15238])).
% 8.86/6.38 tff(15240,plain,
% 8.86/6.38 (~always3(s77)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9326, 15235])).
% 8.86/6.38 tff(15241,plain,
% 8.86/6.38 (~node4(s77)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9880, 22, 15240])).
% 8.86/6.38 tff(15242,plain,
% 8.86/6.38 (xuntil6(s77) | (~until5(s77))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9887, 36, 15241])).
% 8.86/6.38 tff(15243,plain,
% 8.86/6.38 (~until5(s77)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15242, 15239])).
% 8.86/6.38 tff(15244,plain,
% 8.86/6.38 (~xuntil6(s76)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9876, 15243])).
% 8.86/6.38 tff(15245,plain,
% 8.86/6.38 (~always3(s76)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9338, 15240])).
% 8.86/6.38 tff(15246,plain,
% 8.86/6.38 (~node4(s76)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9863, 22, 15245])).
% 8.86/6.38 tff(15247,plain,
% 8.86/6.38 (xuntil6(s76) | (~until5(s76))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9870, 36, 15246])).
% 8.86/6.38 tff(15248,plain,
% 8.86/6.38 (~until5(s76)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15247, 15244])).
% 8.86/6.38 tff(15249,plain,
% 8.86/6.38 (~xuntil6(s75)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9859, 15248])).
% 8.86/6.38 tff(15250,plain,
% 8.86/6.38 (~always3(s75)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9350, 15245])).
% 8.86/6.38 tff(15251,plain,
% 8.86/6.38 (~node4(s75)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9846, 22, 15250])).
% 8.86/6.38 tff(15252,plain,
% 8.86/6.38 (xuntil6(s75) | (~until5(s75))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9853, 36, 15251])).
% 8.86/6.38 tff(15253,plain,
% 8.86/6.38 (~until5(s75)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15252, 15249])).
% 8.86/6.38 tff(15254,plain,
% 8.86/6.38 (~xuntil6(s74)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9842, 15253])).
% 8.86/6.38 tff(15255,plain,
% 8.86/6.38 (~always3(s74)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9362, 15250])).
% 8.86/6.38 tff(15256,plain,
% 8.86/6.38 (~node4(s74)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9829, 22, 15255])).
% 8.86/6.38 tff(15257,plain,
% 8.86/6.38 (xuntil6(s74) | (~until5(s74))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9836, 36, 15256])).
% 8.86/6.38 tff(15258,plain,
% 8.86/6.38 (~until5(s74)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15257, 15254])).
% 8.86/6.38 tff(15259,plain,
% 8.86/6.38 (~xuntil6(s73)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9825, 15258])).
% 8.86/6.38 tff(15260,plain,
% 8.86/6.38 (~always3(s73)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9374, 15255])).
% 8.86/6.38 tff(15261,plain,
% 8.86/6.38 (~node4(s73)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9812, 22, 15260])).
% 8.86/6.38 tff(15262,plain,
% 8.86/6.38 (xuntil6(s73) | (~until5(s73))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9819, 36, 15261])).
% 8.86/6.38 tff(15263,plain,
% 8.86/6.38 (~until5(s73)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15262, 15259])).
% 8.86/6.38 tff(15264,plain,
% 8.86/6.38 (~xuntil6(s72)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9808, 15263])).
% 8.86/6.38 tff(15265,plain,
% 8.86/6.38 (~always3(s72)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9386, 15260])).
% 8.86/6.38 tff(15266,plain,
% 8.86/6.38 (~node4(s72)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9795, 22, 15265])).
% 8.86/6.38 tff(15267,plain,
% 8.86/6.38 (xuntil6(s72) | (~until5(s72))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9802, 36, 15266])).
% 8.86/6.38 tff(15268,plain,
% 8.86/6.38 (~until5(s72)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15267, 15264])).
% 8.86/6.38 tff(15269,plain,
% 8.86/6.38 (~xuntil6(s71)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9791, 15268])).
% 8.86/6.38 tff(15270,plain,
% 8.86/6.38 (~always3(s71)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9398, 15265])).
% 8.86/6.38 tff(15271,plain,
% 8.86/6.38 (~node4(s71)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9778, 22, 15270])).
% 8.86/6.38 tff(15272,plain,
% 8.86/6.38 (xuntil6(s71) | (~until5(s71))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9785, 36, 15271])).
% 8.86/6.38 tff(15273,plain,
% 8.86/6.38 (~until5(s71)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15272, 15269])).
% 8.86/6.38 tff(15274,plain,
% 8.86/6.38 (~xuntil6(s70)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9774, 15273])).
% 8.86/6.38 tff(15275,plain,
% 8.86/6.38 (~always3(s70)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9410, 15270])).
% 8.86/6.38 tff(15276,plain,
% 8.86/6.38 (~node4(s70)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9761, 22, 15275])).
% 8.86/6.38 tff(15277,plain,
% 8.86/6.38 (xuntil6(s70) | (~until5(s70))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9768, 36, 15276])).
% 8.86/6.38 tff(15278,plain,
% 8.86/6.38 (~until5(s70)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15277, 15274])).
% 8.86/6.38 tff(15279,plain,
% 8.86/6.38 (~always3(s69)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9422, 15275])).
% 8.86/6.38 tff(15280,plain,
% 8.86/6.38 (~always3(s68)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9434, 15279])).
% 8.86/6.38 tff(15281,plain,
% 8.86/6.38 (~always3(s67)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9446, 15280])).
% 8.86/6.38 tff(15282,plain,
% 8.86/6.38 (~always3(s66)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9458, 15281])).
% 8.86/6.38 tff(15283,plain,
% 8.86/6.38 (~always3(s65)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9470, 15282])).
% 8.86/6.38 tff(15284,plain,
% 8.86/6.38 (~always3(s64)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9482, 15283])).
% 8.86/6.38 tff(15285,plain,
% 8.86/6.38 (~always3(s63)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9494, 15284])).
% 8.86/6.38 tff(15286,plain,
% 8.86/6.38 (~always3(s62)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9506, 15285])).
% 8.86/6.38 tff(15287,plain,
% 8.86/6.38 (~always3(s61)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9518, 15286])).
% 8.86/6.38 tff(15288,plain,
% 8.86/6.38 (~always3(s60)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9530, 15287])).
% 8.86/6.38 tff(15289,plain,
% 8.86/6.38 (~node4(s60)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9591, 22, 15288])).
% 8.86/6.38 tff(15290,plain,
% 8.86/6.38 (~always3(s59)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9542, 15288])).
% 8.86/6.38 tff(15291,plain,
% 8.86/6.38 (~node4(s59)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9546, 22, 15290])).
% 8.86/6.38 tff(15292,plain,
% 8.86/6.38 (xuntil6(s59)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[14954, 15291])).
% 8.86/6.38 tff(15293,plain,
% 8.86/6.38 (until5(s60)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9587, 15292])).
% 8.86/6.38 tff(15294,plain,
% 8.86/6.38 (xuntil6(s60)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9598, 36, 15293, 15289])).
% 8.86/6.38 tff(15295,plain,
% 8.86/6.38 (until5(s61)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9604, 15294])).
% 8.86/6.38 tff(15296,plain,
% 8.86/6.38 (~node4(s61)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9608, 22, 15287])).
% 8.86/6.38 tff(15297,plain,
% 8.86/6.38 (xuntil6(s61) | (~until5(s61))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9615, 36, 15296])).
% 8.86/6.38 tff(15298,plain,
% 8.86/6.38 (xuntil6(s61)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15297, 15295])).
% 8.86/6.38 tff(15299,plain,
% 8.86/6.38 (until5(s62)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9621, 15298])).
% 8.86/6.38 tff(15300,plain,
% 8.86/6.38 (~node4(s62)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9625, 22, 15286])).
% 8.86/6.38 tff(15301,plain,
% 8.86/6.38 (xuntil6(s62) | (~until5(s62))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9632, 36, 15300])).
% 8.86/6.38 tff(15302,plain,
% 8.86/6.38 (xuntil6(s62)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15301, 15299])).
% 8.86/6.38 tff(15303,plain,
% 8.86/6.38 (until5(s63)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9638, 15302])).
% 8.86/6.38 tff(15304,plain,
% 8.86/6.38 (~node4(s63)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9642, 22, 15285])).
% 8.86/6.38 tff(15305,plain,
% 8.86/6.38 (xuntil6(s63) | (~until5(s63))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9649, 36, 15304])).
% 8.86/6.38 tff(15306,plain,
% 8.86/6.38 (xuntil6(s63)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15305, 15303])).
% 8.86/6.38 tff(15307,plain,
% 8.86/6.38 (until5(s64)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9655, 15306])).
% 8.86/6.38 tff(15308,plain,
% 8.86/6.38 (~node4(s64)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9659, 22, 15284])).
% 8.86/6.38 tff(15309,plain,
% 8.86/6.38 (xuntil6(s64) | (~until5(s64))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9666, 36, 15308])).
% 8.86/6.38 tff(15310,plain,
% 8.86/6.38 (xuntil6(s64)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15309, 15307])).
% 8.86/6.38 tff(15311,plain,
% 8.86/6.38 (until5(s65)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9672, 15310])).
% 8.86/6.38 tff(15312,plain,
% 8.86/6.38 (~node4(s65)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9676, 22, 15283])).
% 8.86/6.38 tff(15313,plain,
% 8.86/6.38 (xuntil6(s65) | (~until5(s65))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9683, 36, 15312])).
% 8.86/6.38 tff(15314,plain,
% 8.86/6.38 (xuntil6(s65)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15313, 15311])).
% 8.86/6.38 tff(15315,plain,
% 8.86/6.38 (until5(s66)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9689, 15314])).
% 8.86/6.38 tff(15316,plain,
% 8.86/6.38 (~node4(s66)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9693, 22, 15282])).
% 8.86/6.38 tff(15317,plain,
% 8.86/6.38 (xuntil6(s66) | (~until5(s66))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9700, 36, 15316])).
% 8.86/6.38 tff(15318,plain,
% 8.86/6.38 (xuntil6(s66)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15317, 15315])).
% 8.86/6.38 tff(15319,plain,
% 8.86/6.38 (until5(s67)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9706, 15318])).
% 8.86/6.38 tff(15320,plain,
% 8.86/6.38 (~node4(s67)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9710, 22, 15281])).
% 8.86/6.38 tff(15321,plain,
% 8.86/6.38 (xuntil6(s67) | (~until5(s67))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9717, 36, 15320])).
% 8.86/6.38 tff(15322,plain,
% 8.86/6.38 (xuntil6(s67)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15321, 15319])).
% 8.86/6.38 tff(15323,plain,
% 8.86/6.38 (until5(s68)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9723, 15322])).
% 8.86/6.38 tff(15324,plain,
% 8.86/6.38 (~node4(s68)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9727, 22, 15280])).
% 8.86/6.38 tff(15325,plain,
% 8.86/6.38 (xuntil6(s68) | (~until5(s68))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9734, 36, 15324])).
% 8.86/6.38 tff(15326,plain,
% 8.86/6.38 (xuntil6(s68)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15325, 15323])).
% 8.86/6.38 tff(15327,plain,
% 8.86/6.38 (until5(s69)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9740, 15326])).
% 8.86/6.38 tff(15328,plain,
% 8.86/6.38 (~node4(s69)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9744, 22, 15279])).
% 8.86/6.38 tff(15329,plain,
% 8.86/6.38 (xuntil6(s69) | (~until5(s69))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9751, 36, 15328])).
% 8.86/6.38 tff(15330,plain,
% 8.86/6.38 (xuntil6(s69)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15329, 15327])).
% 8.86/6.38 tff(15331,plain,
% 8.86/6.38 ($false),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9757, 15330, 15278])).
% 8.86/6.38 tff(15332,plain,(always3(s80) | (~until5(s59)) | xuntil6(s80)), inference(lemma,lemma(discharge,[]))).
% 8.86/6.38 tff(15333,plain,
% 8.86/6.38 (always3(s80)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15332, 15224, 15065])).
% 8.86/6.38 tff(15334,plain,
% 8.86/6.38 (always3(s81)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9290, 15333])).
% 8.86/6.38 tff(15335,plain,
% 8.86/6.38 (~m_main_v_state(s81, c_busy)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15216, 170, 15334])).
% 8.86/6.38 tff(15336,plain,
% 8.86/6.38 (((~![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)))),
% 8.86/6.38 inference(rewrite,[status(thm)],[])).
% 8.86/6.38 tff(15337,plain,
% 8.86/6.38 (((~m_main_v_state(s80, c_busy)) | (~always3(s80))) <=> ((~always3(s80)) | (~m_main_v_state(s80, c_busy)))),
% 8.86/6.38 inference(rewrite,[status(thm)],[])).
% 8.86/6.38 tff(15338,plain,
% 8.86/6.38 (((~![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))))),
% 8.86/6.38 inference(monotonicity,[status(thm)],[15337])).
% 8.86/6.38 tff(15339,plain,
% 8.86/6.38 (((~![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)))),
% 8.86/6.38 inference(transitivity,[status(thm)],[15338, 15336])).
% 8.86/6.38 tff(15340,plain,
% 8.86/6.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s80, c_busy)) | (~always3(s80)))),
% 8.86/6.38 inference(quant_inst,[status(thm)],[])).
% 8.86/6.38 tff(15341,plain,
% 8.86/6.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s80)) | (~m_main_v_state(s80, c_busy))),
% 8.86/6.38 inference(modus_ponens,[status(thm)],[15340, 15339])).
% 8.86/6.38 tff(15342,plain,
% 8.86/6.38 (~m_main_v_state(s80, c_busy)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15341, 170, 15333])).
% 8.86/6.38 tff(15343,plain,
% 8.86/6.38 (((~![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))),
% 8.86/6.38 inference(rewrite,[status(thm)],[])).
% 8.86/6.38 tff(15344,plain,
% 8.86/6.38 ((~![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))),
% 8.86/6.38 inference(quant_inst,[status(thm)],[])).
% 8.86/6.38 tff(15345,plain,
% 8.86/6.38 ((~![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)),
% 8.86/6.38 inference(modus_ponens,[status(thm)],[15344, 15343])).
% 8.86/6.38 tff(15346,plain,
% 8.86/6.38 (m_main_v_state(s80, c_ready)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15345, 213, 15342])).
% 8.86/6.38 tff(15347,assumption,(~m_main_v_state(s80, c_busy)), introduced(assumption)).
% 8.86/6.38 tff(15348,assumption,(node4(s79)), introduced(assumption)).
% 8.86/6.38 tff(15349,plain,
% 8.86/6.38 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s79) | (~node4(s79)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s79) | (~node4(s79)))),
% 8.86/6.38 inference(rewrite,[status(thm)],[])).
% 8.86/6.38 tff(15350,plain,
% 8.86/6.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s79) | (~node4(s79)))),
% 8.86/6.38 inference(quant_inst,[status(thm)],[])).
% 8.86/6.38 tff(15351,plain,
% 8.86/6.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s79) | (~node4(s79))),
% 8.86/6.38 inference(modus_ponens,[status(thm)],[15350, 15349])).
% 8.86/6.38 tff(15352,plain,
% 8.86/6.38 (m_main_v_request(s79)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15351, 154, 15348])).
% 8.86/6.38 tff(15353,plain,
% 8.86/6.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s79, s80)) | node2(s79, s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s79, s80)) | node2(s79, s80))),
% 8.86/6.38 inference(rewrite,[status(thm)],[])).
% 8.86/6.38 tff(15354,plain,
% 8.86/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s79, s80)) | node2(s79, s80))),
% 8.86/6.38 inference(quant_inst,[status(thm)],[])).
% 8.86/6.38 tff(15355,plain,
% 8.86/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s79, s80)) | node2(s79, s80)),
% 8.86/6.38 inference(modus_ponens,[status(thm)],[15354, 15353])).
% 8.86/6.38 tff(15356,plain,
% 8.86/6.38 (node2(s79, s80)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15355, 7, 9298])).
% 8.86/6.38 tff(15357,plain,
% 8.86/6.38 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s79, c_ready)) | (~node2(s79, s80)) | m_main_v_state(s80, c_busy) | (~m_main_v_request(s79)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s79, c_ready)) | (~node2(s79, s80)) | m_main_v_state(s80, c_busy) | (~m_main_v_request(s79)))),
% 8.86/6.38 inference(rewrite,[status(thm)],[])).
% 8.86/6.38 tff(15358,plain,
% 8.86/6.38 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s79, c_ready)) | (~node2(s79, s80)) | m_main_v_state(s80, c_busy) | (~m_main_v_request(s79)))),
% 8.86/6.38 inference(quant_inst,[status(thm)],[])).
% 8.86/6.38 tff(15359,plain,
% 8.86/6.38 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s79, c_ready)) | (~node2(s79, s80)) | m_main_v_state(s80, c_busy) | (~m_main_v_request(s79))),
% 8.86/6.38 inference(modus_ponens,[status(thm)],[15358, 15357])).
% 8.86/6.38 tff(15360,plain,
% 8.86/6.38 ((~m_main_v_state(s79, c_ready)) | m_main_v_state(s80, c_busy) | (~m_main_v_request(s79))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15359, 191, 15356])).
% 8.86/6.38 tff(15361,plain,
% 8.86/6.38 (~m_main_v_state(s79, c_ready)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15360, 15352, 15347])).
% 8.86/6.38 tff(15362,plain,
% 8.86/6.38 (always3(s79)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9914, 22, 15348])).
% 8.86/6.38 tff(15363,plain,
% 8.86/6.38 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s79)) | (~m_main_v_state(s79, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s79)) | (~m_main_v_state(s79, c_busy)))),
% 8.86/6.38 inference(rewrite,[status(thm)],[])).
% 8.86/6.38 tff(15364,plain,
% 8.86/6.38 (((~m_main_v_state(s79, c_busy)) | (~always3(s79))) <=> ((~always3(s79)) | (~m_main_v_state(s79, c_busy)))),
% 8.86/6.38 inference(rewrite,[status(thm)],[])).
% 8.86/6.38 tff(15365,plain,
% 8.86/6.38 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s79, c_busy)) | (~always3(s79)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s79)) | (~m_main_v_state(s79, c_busy))))),
% 8.86/6.38 inference(monotonicity,[status(thm)],[15364])).
% 8.86/6.38 tff(15366,plain,
% 8.86/6.38 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s79, c_busy)) | (~always3(s79)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s79)) | (~m_main_v_state(s79, c_busy)))),
% 8.86/6.38 inference(transitivity,[status(thm)],[15365, 15363])).
% 8.86/6.38 tff(15367,plain,
% 8.86/6.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s79, c_busy)) | (~always3(s79)))),
% 8.86/6.38 inference(quant_inst,[status(thm)],[])).
% 8.86/6.38 tff(15368,plain,
% 8.86/6.38 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s79)) | (~m_main_v_state(s79, c_busy))),
% 8.86/6.38 inference(modus_ponens,[status(thm)],[15367, 15366])).
% 8.86/6.38 tff(15369,plain,
% 8.86/6.38 (~m_main_v_state(s79, c_busy)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15368, 170, 15362])).
% 8.86/6.38 tff(15370,plain,
% 8.86/6.38 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s79, c_busy) | m_main_v_state(s79, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s79, c_busy) | m_main_v_state(s79, c_ready))),
% 8.86/6.38 inference(rewrite,[status(thm)],[])).
% 8.86/6.38 tff(15371,plain,
% 8.86/6.38 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s79, c_busy) | m_main_v_state(s79, c_ready))),
% 8.86/6.38 inference(quant_inst,[status(thm)],[])).
% 8.86/6.38 tff(15372,plain,
% 8.86/6.38 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s79, c_busy) | m_main_v_state(s79, c_ready)),
% 8.86/6.38 inference(modus_ponens,[status(thm)],[15371, 15370])).
% 8.86/6.38 tff(15373,plain,
% 8.86/6.38 ($false),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15372, 213, 15369, 15361])).
% 8.86/6.38 tff(15374,plain,((~node4(s79)) | m_main_v_state(s80, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.86/6.38 tff(15375,plain,
% 8.86/6.38 (~node4(s79)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15374, 15342])).
% 8.86/6.38 tff(15376,plain,
% 8.86/6.38 (~node4(s77)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9880, 22, 15043])).
% 8.86/6.38 tff(15377,plain,
% 8.86/6.38 (~node4(s78)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9897, 22, 15042])).
% 8.86/6.38 tff(15378,assumption,(~xuntil6(s78)), introduced(assumption)).
% 8.86/6.38 tff(15379,plain,
% 8.86/6.38 (node4(s78) | (~until5(s78))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9904, 36, 15378])).
% 8.86/6.38 tff(15380,plain,
% 8.86/6.38 (~until5(s78)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15379, 15377])).
% 8.86/6.38 tff(15381,plain,
% 8.86/6.38 (~xuntil6(s77)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9893, 15380])).
% 8.86/6.38 tff(15382,plain,
% 8.86/6.38 (~until5(s77)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9887, 36, 15381, 15376])).
% 8.86/6.38 tff(15383,plain,
% 8.86/6.38 (~xuntil6(s76)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9876, 15382])).
% 8.86/6.38 tff(15384,plain,
% 8.86/6.38 (~node4(s76)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9863, 22, 15044])).
% 8.86/6.38 tff(15385,plain,
% 8.86/6.38 (xuntil6(s76) | (~until5(s76))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9870, 36, 15384])).
% 8.86/6.38 tff(15386,plain,
% 8.86/6.38 (~until5(s76)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15385, 15383])).
% 8.86/6.38 tff(15387,plain,
% 8.86/6.38 (~xuntil6(s75)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9859, 15386])).
% 8.86/6.38 tff(15388,plain,
% 8.86/6.38 (~node4(s75)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9846, 22, 15045])).
% 8.86/6.38 tff(15389,plain,
% 8.86/6.38 (xuntil6(s75) | (~until5(s75))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9853, 36, 15388])).
% 8.86/6.38 tff(15390,plain,
% 8.86/6.38 (~until5(s75)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15389, 15387])).
% 8.86/6.38 tff(15391,plain,
% 8.86/6.38 (~xuntil6(s74)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9842, 15390])).
% 8.86/6.38 tff(15392,plain,
% 8.86/6.38 (~node4(s74)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9829, 22, 15046])).
% 8.86/6.38 tff(15393,plain,
% 8.86/6.38 (xuntil6(s74) | (~until5(s74))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9836, 36, 15392])).
% 8.86/6.38 tff(15394,plain,
% 8.86/6.38 (~until5(s74)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15393, 15391])).
% 8.86/6.38 tff(15395,plain,
% 8.86/6.38 (~xuntil6(s73)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9825, 15394])).
% 8.86/6.38 tff(15396,plain,
% 8.86/6.38 (~node4(s73)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9812, 22, 15047])).
% 8.86/6.38 tff(15397,plain,
% 8.86/6.38 (xuntil6(s73) | (~until5(s73))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9819, 36, 15396])).
% 8.86/6.38 tff(15398,plain,
% 8.86/6.38 (~until5(s73)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15397, 15395])).
% 8.86/6.38 tff(15399,plain,
% 8.86/6.38 (~xuntil6(s72)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9808, 15398])).
% 8.86/6.38 tff(15400,plain,
% 8.86/6.38 (~node4(s72)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9795, 22, 15048])).
% 8.86/6.38 tff(15401,plain,
% 8.86/6.38 (xuntil6(s72) | (~until5(s72))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9802, 36, 15400])).
% 8.86/6.38 tff(15402,plain,
% 8.86/6.38 (~until5(s72)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15401, 15399])).
% 8.86/6.38 tff(15403,plain,
% 8.86/6.38 (~xuntil6(s71)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9791, 15402])).
% 8.86/6.38 tff(15404,plain,
% 8.86/6.38 (~node4(s71)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9778, 22, 15049])).
% 8.86/6.38 tff(15405,plain,
% 8.86/6.38 (xuntil6(s71) | (~until5(s71))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9785, 36, 15404])).
% 8.86/6.38 tff(15406,plain,
% 8.86/6.38 (~until5(s71)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15405, 15403])).
% 8.86/6.38 tff(15407,plain,
% 8.86/6.38 (~xuntil6(s70)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9774, 15406])).
% 8.86/6.38 tff(15408,plain,
% 8.86/6.38 (~node4(s70)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9761, 22, 15050])).
% 8.86/6.38 tff(15409,plain,
% 8.86/6.38 (xuntil6(s70) | (~until5(s70))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9768, 36, 15408])).
% 8.86/6.38 tff(15410,plain,
% 8.86/6.38 (~until5(s70)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15409, 15407])).
% 8.86/6.38 tff(15411,plain,
% 8.86/6.38 (~xuntil6(s69)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9757, 15410])).
% 8.86/6.38 tff(15412,plain,
% 8.86/6.38 (~node4(s69)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9744, 22, 15051])).
% 8.86/6.38 tff(15413,plain,
% 8.86/6.38 (xuntil6(s69) | (~until5(s69))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9751, 36, 15412])).
% 8.86/6.38 tff(15414,plain,
% 8.86/6.38 (~until5(s69)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15413, 15411])).
% 8.86/6.38 tff(15415,plain,
% 8.86/6.38 (~node4(s60)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9591, 22, 15060])).
% 8.86/6.38 tff(15416,plain,
% 8.86/6.38 (~node4(s59)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9546, 22, 15061])).
% 8.86/6.38 tff(15417,plain,
% 8.86/6.38 (xuntil6(s59)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[14954, 15416])).
% 8.86/6.38 tff(15418,plain,
% 8.86/6.38 (until5(s60)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9587, 15417])).
% 8.86/6.38 tff(15419,plain,
% 8.86/6.38 (xuntil6(s60)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9598, 36, 15418, 15415])).
% 8.86/6.38 tff(15420,plain,
% 8.86/6.38 (until5(s61)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9604, 15419])).
% 8.86/6.38 tff(15421,plain,
% 8.86/6.38 (~node4(s61)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9608, 22, 15059])).
% 8.86/6.38 tff(15422,plain,
% 8.86/6.38 (xuntil6(s61) | (~until5(s61))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9615, 36, 15421])).
% 8.86/6.38 tff(15423,plain,
% 8.86/6.38 (xuntil6(s61)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15422, 15420])).
% 8.86/6.38 tff(15424,plain,
% 8.86/6.38 (until5(s62)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9621, 15423])).
% 8.86/6.38 tff(15425,plain,
% 8.86/6.38 (~node4(s62)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9625, 22, 15058])).
% 8.86/6.38 tff(15426,plain,
% 8.86/6.38 (xuntil6(s62) | (~until5(s62))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9632, 36, 15425])).
% 8.86/6.38 tff(15427,plain,
% 8.86/6.38 (xuntil6(s62)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15426, 15424])).
% 8.86/6.38 tff(15428,plain,
% 8.86/6.38 (until5(s63)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9638, 15427])).
% 8.86/6.38 tff(15429,plain,
% 8.86/6.38 (~node4(s63)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9642, 22, 15057])).
% 8.86/6.38 tff(15430,plain,
% 8.86/6.38 (xuntil6(s63) | (~until5(s63))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9649, 36, 15429])).
% 8.86/6.38 tff(15431,plain,
% 8.86/6.38 (xuntil6(s63)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15430, 15428])).
% 8.86/6.38 tff(15432,plain,
% 8.86/6.38 (until5(s64)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9655, 15431])).
% 8.86/6.38 tff(15433,plain,
% 8.86/6.38 (~node4(s64)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9659, 22, 15056])).
% 8.86/6.38 tff(15434,plain,
% 8.86/6.38 (xuntil6(s64) | (~until5(s64))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9666, 36, 15433])).
% 8.86/6.38 tff(15435,plain,
% 8.86/6.38 (xuntil6(s64)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15434, 15432])).
% 8.86/6.38 tff(15436,plain,
% 8.86/6.38 (until5(s65)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9672, 15435])).
% 8.86/6.38 tff(15437,plain,
% 8.86/6.38 (~node4(s65)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9676, 22, 15055])).
% 8.86/6.38 tff(15438,plain,
% 8.86/6.38 (xuntil6(s65) | (~until5(s65))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9683, 36, 15437])).
% 8.86/6.38 tff(15439,plain,
% 8.86/6.38 (xuntil6(s65)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15438, 15436])).
% 8.86/6.38 tff(15440,plain,
% 8.86/6.38 (until5(s66)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9689, 15439])).
% 8.86/6.38 tff(15441,plain,
% 8.86/6.38 (~node4(s66)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9693, 22, 15054])).
% 8.86/6.38 tff(15442,plain,
% 8.86/6.38 (xuntil6(s66) | (~until5(s66))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9700, 36, 15441])).
% 8.86/6.38 tff(15443,plain,
% 8.86/6.38 (xuntil6(s66)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15442, 15440])).
% 8.86/6.38 tff(15444,plain,
% 8.86/6.38 (until5(s67)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9706, 15443])).
% 8.86/6.38 tff(15445,plain,
% 8.86/6.38 (~node4(s67)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9710, 22, 15053])).
% 8.86/6.38 tff(15446,plain,
% 8.86/6.38 (xuntil6(s67) | (~until5(s67))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9717, 36, 15445])).
% 8.86/6.38 tff(15447,plain,
% 8.86/6.38 (xuntil6(s67)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15446, 15444])).
% 8.86/6.38 tff(15448,plain,
% 8.86/6.38 (until5(s68)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9723, 15447])).
% 8.86/6.38 tff(15449,plain,
% 8.86/6.38 (~node4(s68)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9727, 22, 15052])).
% 8.86/6.38 tff(15450,plain,
% 8.86/6.38 (xuntil6(s68) | (~until5(s68))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9734, 36, 15449])).
% 8.86/6.38 tff(15451,plain,
% 8.86/6.38 (xuntil6(s68)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15450, 15448])).
% 8.86/6.38 tff(15452,plain,
% 8.86/6.38 ($false),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9740, 15451, 15414])).
% 8.86/6.38 tff(15453,plain,(always3(s78) | (~until5(s59)) | xuntil6(s78)), inference(lemma,lemma(discharge,[]))).
% 8.86/6.38 tff(15454,plain,
% 8.86/6.38 (xuntil6(s78)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15453, 15065, 15042])).
% 8.86/6.38 tff(15455,plain,
% 8.86/6.38 (until5(s79)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9910, 15454])).
% 8.86/6.38 tff(15456,plain,
% 8.86/6.38 (xuntil6(s79) | node4(s79)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9921, 36, 15455])).
% 8.86/6.38 tff(15457,plain,
% 8.86/6.38 (xuntil6(s79)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15456, 15375])).
% 8.86/6.38 tff(15458,plain,
% 8.86/6.38 (until5(s80)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9927, 15457])).
% 8.86/6.38 tff(15459,plain,
% 8.86/6.38 (node4(s80) | (~until5(s80))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9938, 36, 15224])).
% 8.86/6.38 tff(15460,plain,
% 8.86/6.38 (node4(s80)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15459, 15458])).
% 8.86/6.38 tff(15461,plain,
% 8.86/6.38 (((~![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)))),
% 8.86/6.38 inference(rewrite,[status(thm)],[])).
% 8.86/6.38 tff(15462,plain,
% 8.86/6.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s80) | (~node4(s80)))),
% 8.86/6.38 inference(quant_inst,[status(thm)],[])).
% 8.86/6.38 tff(15463,plain,
% 8.86/6.38 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s80) | (~node4(s80))),
% 8.86/6.38 inference(modus_ponens,[status(thm)],[15462, 15461])).
% 8.86/6.38 tff(15464,plain,
% 8.86/6.38 (m_main_v_request(s80)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15463, 154, 15460])).
% 8.86/6.38 tff(15465,plain,
% 8.86/6.38 (((~![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))),
% 8.86/6.38 inference(rewrite,[status(thm)],[])).
% 8.86/6.38 tff(15466,plain,
% 8.86/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s80, s81)) | node2(s80, s81))),
% 8.86/6.38 inference(quant_inst,[status(thm)],[])).
% 8.86/6.38 tff(15467,plain,
% 8.86/6.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s80, s81)) | node2(s80, s81)),
% 8.86/6.38 inference(modus_ponens,[status(thm)],[15466, 15465])).
% 8.86/6.38 tff(15468,plain,
% 8.86/6.38 (node2(s80, s81)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15467, 7, 9286])).
% 8.86/6.38 tff(15469,plain,
% 8.86/6.38 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.86/6.38 inference(rewrite,[status(thm)],[])).
% 8.86/6.38 tff(15470,plain,
% 8.86/6.38 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.86/6.38 inference(quant_inst,[status(thm)],[])).
% 8.86/6.38 tff(15471,plain,
% 8.86/6.38 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s80, c_ready)) | (~node2(s80, s81)) | m_main_v_state(s81, c_busy) | (~m_main_v_request(s80))),
% 8.86/6.38 inference(modus_ponens,[status(thm)],[15470, 15469])).
% 8.86/6.38 tff(15472,plain,
% 8.86/6.38 ((~m_main_v_state(s80, c_ready)) | m_main_v_state(s81, c_busy) | (~m_main_v_request(s80))),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15471, 191, 15468])).
% 8.86/6.38 tff(15473,plain,
% 8.86/6.38 ($false),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15472, 15464, 15346, 15335])).
% 8.86/6.38 tff(15474,plain,(always3(s78) | xuntil6(s85) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 8.86/6.38 tff(15475,plain,
% 8.86/6.38 (always3(s78)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15474, 14872, 5071])).
% 8.86/6.38 tff(15476,plain,
% 8.86/6.38 (always3(s79)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9314, 15475])).
% 8.86/6.38 tff(15477,plain,
% 8.86/6.38 (always3(s80)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9302, 15476])).
% 8.86/6.38 tff(15478,plain,
% 8.86/6.38 (always3(s81)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[9290, 15477])).
% 8.86/6.38 tff(15479,plain,
% 8.86/6.38 (~m_main_v_state(s81, c_busy)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15216, 170, 15478])).
% 8.86/6.38 tff(15480,plain,
% 8.86/6.38 (~m_main_v_state(s80, c_busy)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15341, 170, 15477])).
% 8.86/6.38 tff(15481,plain,
% 8.86/6.38 (m_main_v_state(s80, c_ready)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15345, 213, 15480])).
% 8.86/6.38 tff(15482,plain,
% 8.86/6.38 (~m_main_v_request(s80)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15472, 15481, 15479])).
% 8.86/6.38 tff(15483,plain,
% 8.86/6.38 (~node4(s80)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15463, 154, 15482])).
% 8.86/6.38 tff(15484,plain,
% 8.86/6.38 (~node4(s79)),
% 8.86/6.38 inference(unit_resolution,[status(thm)],[15374, 15480])).
% 8.86/6.38 tff(15485,plain,
% 8.86/6.38 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s78)) | (~m_main_v_state(s78, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s78)) | (~m_main_v_state(s78, c_busy)))),
% 8.86/6.38 inference(rewrite,[status(thm)],[])).
% 8.86/6.38 tff(15486,plain,
% 8.86/6.38 (((~m_main_v_state(s78, c_busy)) | (~always3(s78))) <=> ((~always3(s78)) | (~m_main_v_state(s78, c_busy)))),
% 8.86/6.39 inference(rewrite,[status(thm)],[])).
% 8.86/6.39 tff(15487,plain,
% 8.86/6.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s78, c_busy)) | (~always3(s78)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s78)) | (~m_main_v_state(s78, c_busy))))),
% 8.86/6.39 inference(monotonicity,[status(thm)],[15486])).
% 8.86/6.39 tff(15488,plain,
% 8.86/6.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s78, c_busy)) | (~always3(s78)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s78)) | (~m_main_v_state(s78, c_busy)))),
% 8.86/6.39 inference(transitivity,[status(thm)],[15487, 15485])).
% 8.86/6.39 tff(15489,plain,
% 8.86/6.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s78, c_busy)) | (~always3(s78)))),
% 8.86/6.39 inference(quant_inst,[status(thm)],[])).
% 8.86/6.39 tff(15490,plain,
% 8.86/6.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s78)) | (~m_main_v_state(s78, c_busy))),
% 8.86/6.39 inference(modus_ponens,[status(thm)],[15489, 15488])).
% 8.86/6.39 tff(15491,plain,
% 8.86/6.39 (~m_main_v_state(s78, c_busy)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15490, 170, 15475])).
% 8.86/6.39 tff(15492,assumption,(~m_main_v_state(s78, c_busy)), introduced(assumption)).
% 8.86/6.39 tff(15493,assumption,(node4(s77)), introduced(assumption)).
% 8.86/6.39 tff(15494,plain,
% 8.86/6.39 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s77) | (~node4(s77)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s77) | (~node4(s77)))),
% 8.86/6.39 inference(rewrite,[status(thm)],[])).
% 8.86/6.39 tff(15495,plain,
% 8.86/6.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s77) | (~node4(s77)))),
% 8.86/6.39 inference(quant_inst,[status(thm)],[])).
% 8.86/6.39 tff(15496,plain,
% 8.86/6.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s77) | (~node4(s77))),
% 8.86/6.39 inference(modus_ponens,[status(thm)],[15495, 15494])).
% 8.86/6.39 tff(15497,plain,
% 8.86/6.39 (m_main_v_request(s77)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15496, 154, 15493])).
% 8.86/6.39 tff(15498,plain,
% 8.86/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s77, s78)) | node2(s77, s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s77, s78)) | node2(s77, s78))),
% 8.86/6.39 inference(rewrite,[status(thm)],[])).
% 8.86/6.39 tff(15499,plain,
% 8.86/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s77, s78)) | node2(s77, s78))),
% 8.86/6.39 inference(quant_inst,[status(thm)],[])).
% 8.86/6.39 tff(15500,plain,
% 8.86/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s77, s78)) | node2(s77, s78)),
% 8.86/6.39 inference(modus_ponens,[status(thm)],[15499, 15498])).
% 8.86/6.39 tff(15501,plain,
% 8.86/6.39 (node2(s77, s78)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15500, 7, 9322])).
% 8.86/6.39 tff(15502,plain,
% 8.86/6.39 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s77, c_ready)) | (~node2(s77, s78)) | m_main_v_state(s78, c_busy) | (~m_main_v_request(s77)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s77, c_ready)) | (~node2(s77, s78)) | m_main_v_state(s78, c_busy) | (~m_main_v_request(s77)))),
% 8.86/6.39 inference(rewrite,[status(thm)],[])).
% 8.86/6.39 tff(15503,plain,
% 8.86/6.39 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s77, c_ready)) | (~node2(s77, s78)) | m_main_v_state(s78, c_busy) | (~m_main_v_request(s77)))),
% 8.86/6.39 inference(quant_inst,[status(thm)],[])).
% 8.86/6.39 tff(15504,plain,
% 8.86/6.39 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s77, c_ready)) | (~node2(s77, s78)) | m_main_v_state(s78, c_busy) | (~m_main_v_request(s77))),
% 8.86/6.39 inference(modus_ponens,[status(thm)],[15503, 15502])).
% 8.86/6.39 tff(15505,plain,
% 8.86/6.39 ((~m_main_v_state(s77, c_ready)) | m_main_v_state(s78, c_busy) | (~m_main_v_request(s77))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15504, 191, 15501])).
% 8.86/6.39 tff(15506,plain,
% 8.86/6.39 (~m_main_v_state(s77, c_ready)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15505, 15497, 15492])).
% 8.86/6.39 tff(15507,plain,
% 8.86/6.39 (always3(s77)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9880, 22, 15493])).
% 8.86/6.39 tff(15508,plain,
% 8.86/6.39 (((~![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)))),
% 8.86/6.39 inference(rewrite,[status(thm)],[])).
% 8.86/6.39 tff(15509,plain,
% 8.86/6.39 (((~m_main_v_state(s77, c_busy)) | (~always3(s77))) <=> ((~always3(s77)) | (~m_main_v_state(s77, c_busy)))),
% 8.86/6.39 inference(rewrite,[status(thm)],[])).
% 8.86/6.39 tff(15510,plain,
% 8.86/6.39 (((~![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))))),
% 8.86/6.39 inference(monotonicity,[status(thm)],[15509])).
% 8.86/6.39 tff(15511,plain,
% 8.86/6.39 (((~![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)))),
% 8.86/6.39 inference(transitivity,[status(thm)],[15510, 15508])).
% 8.86/6.39 tff(15512,plain,
% 8.86/6.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s77, c_busy)) | (~always3(s77)))),
% 8.86/6.39 inference(quant_inst,[status(thm)],[])).
% 8.86/6.39 tff(15513,plain,
% 8.86/6.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s77)) | (~m_main_v_state(s77, c_busy))),
% 8.86/6.39 inference(modus_ponens,[status(thm)],[15512, 15511])).
% 8.86/6.39 tff(15514,plain,
% 8.86/6.39 (~m_main_v_state(s77, c_busy)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15513, 170, 15507])).
% 8.86/6.39 tff(15515,plain,
% 8.86/6.39 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s77, c_busy) | m_main_v_state(s77, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s77, c_busy) | m_main_v_state(s77, c_ready))),
% 8.86/6.39 inference(rewrite,[status(thm)],[])).
% 8.86/6.39 tff(15516,plain,
% 8.86/6.39 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s77, c_busy) | m_main_v_state(s77, c_ready))),
% 8.86/6.39 inference(quant_inst,[status(thm)],[])).
% 8.86/6.39 tff(15517,plain,
% 8.86/6.39 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s77, c_busy) | m_main_v_state(s77, c_ready)),
% 8.86/6.39 inference(modus_ponens,[status(thm)],[15516, 15515])).
% 8.86/6.39 tff(15518,plain,
% 8.86/6.39 ($false),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15517, 213, 15514, 15506])).
% 8.86/6.39 tff(15519,plain,((~node4(s77)) | m_main_v_state(s78, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.86/6.39 tff(15520,plain,
% 8.86/6.39 (~node4(s77)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15519, 15491])).
% 8.86/6.39 tff(15521,assumption,(~xuntil6(s76)), introduced(assumption)).
% 8.86/6.39 tff(15522,assumption,(~always3(s76)), introduced(assumption)).
% 8.86/6.39 tff(15523,plain,
% 8.86/6.39 (~always3(s75)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9350, 15522])).
% 8.86/6.39 tff(15524,plain,
% 8.86/6.39 (~node4(s75)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9846, 22, 15523])).
% 8.86/6.39 tff(15525,plain,
% 8.86/6.39 (~node4(s76)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9863, 22, 15522])).
% 8.86/6.39 tff(15526,plain,
% 8.86/6.39 (node4(s76) | (~until5(s76))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9870, 36, 15521])).
% 8.86/6.39 tff(15527,plain,
% 8.86/6.39 (~until5(s76)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15526, 15525])).
% 8.86/6.39 tff(15528,plain,
% 8.86/6.39 (~xuntil6(s75)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9859, 15527])).
% 8.86/6.39 tff(15529,plain,
% 8.86/6.39 (~until5(s75)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9853, 36, 15528, 15524])).
% 8.86/6.39 tff(15530,plain,
% 8.86/6.39 (~xuntil6(s74)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9842, 15529])).
% 8.86/6.39 tff(15531,plain,
% 8.86/6.39 (~always3(s74)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9362, 15523])).
% 8.86/6.39 tff(15532,plain,
% 8.86/6.39 (~node4(s74)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9829, 22, 15531])).
% 8.86/6.39 tff(15533,plain,
% 8.86/6.39 (xuntil6(s74) | (~until5(s74))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9836, 36, 15532])).
% 8.86/6.39 tff(15534,plain,
% 8.86/6.39 (~until5(s74)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15533, 15530])).
% 8.86/6.39 tff(15535,plain,
% 8.86/6.39 (~xuntil6(s73)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9825, 15534])).
% 8.86/6.39 tff(15536,plain,
% 8.86/6.39 (~always3(s73)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9374, 15531])).
% 8.86/6.39 tff(15537,plain,
% 8.86/6.39 (~node4(s73)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9812, 22, 15536])).
% 8.86/6.39 tff(15538,plain,
% 8.86/6.39 (xuntil6(s73) | (~until5(s73))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9819, 36, 15537])).
% 8.86/6.39 tff(15539,plain,
% 8.86/6.39 (~until5(s73)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15538, 15535])).
% 8.86/6.39 tff(15540,plain,
% 8.86/6.39 (~xuntil6(s72)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9808, 15539])).
% 8.86/6.39 tff(15541,plain,
% 8.86/6.39 (~always3(s72)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9386, 15536])).
% 8.86/6.39 tff(15542,plain,
% 8.86/6.39 (~node4(s72)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9795, 22, 15541])).
% 8.86/6.39 tff(15543,plain,
% 8.86/6.39 (xuntil6(s72) | (~until5(s72))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9802, 36, 15542])).
% 8.86/6.39 tff(15544,plain,
% 8.86/6.39 (~until5(s72)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15543, 15540])).
% 8.86/6.39 tff(15545,plain,
% 8.86/6.39 (~xuntil6(s71)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9791, 15544])).
% 8.86/6.39 tff(15546,plain,
% 8.86/6.39 (~always3(s71)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9398, 15541])).
% 8.86/6.39 tff(15547,plain,
% 8.86/6.39 (~node4(s71)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9778, 22, 15546])).
% 8.86/6.39 tff(15548,plain,
% 8.86/6.39 (xuntil6(s71) | (~until5(s71))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9785, 36, 15547])).
% 8.86/6.39 tff(15549,plain,
% 8.86/6.39 (~until5(s71)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15548, 15545])).
% 8.86/6.39 tff(15550,plain,
% 8.86/6.39 (~xuntil6(s70)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9774, 15549])).
% 8.86/6.39 tff(15551,plain,
% 8.86/6.39 (~always3(s70)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9410, 15546])).
% 8.86/6.39 tff(15552,plain,
% 8.86/6.39 (~node4(s70)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9761, 22, 15551])).
% 8.86/6.39 tff(15553,plain,
% 8.86/6.39 (xuntil6(s70) | (~until5(s70))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9768, 36, 15552])).
% 8.86/6.39 tff(15554,plain,
% 8.86/6.39 (~until5(s70)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15553, 15550])).
% 8.86/6.39 tff(15555,plain,
% 8.86/6.39 (~xuntil6(s69)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9757, 15554])).
% 8.86/6.39 tff(15556,plain,
% 8.86/6.39 (~always3(s69)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9422, 15551])).
% 8.86/6.39 tff(15557,plain,
% 8.86/6.39 (~node4(s69)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9744, 22, 15556])).
% 8.86/6.39 tff(15558,plain,
% 8.86/6.39 (xuntil6(s69) | (~until5(s69))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9751, 36, 15557])).
% 8.86/6.39 tff(15559,plain,
% 8.86/6.39 (~until5(s69)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15558, 15555])).
% 8.86/6.39 tff(15560,plain,
% 8.86/6.39 (~xuntil6(s68)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9740, 15559])).
% 8.86/6.39 tff(15561,plain,
% 8.86/6.39 (~always3(s68)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9434, 15556])).
% 8.86/6.39 tff(15562,plain,
% 8.86/6.39 (~node4(s68)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9727, 22, 15561])).
% 8.86/6.39 tff(15563,plain,
% 8.86/6.39 (xuntil6(s68) | (~until5(s68))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9734, 36, 15562])).
% 8.86/6.39 tff(15564,plain,
% 8.86/6.39 (~until5(s68)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15563, 15560])).
% 8.86/6.39 tff(15565,plain,
% 8.86/6.39 (~always3(s67)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9446, 15561])).
% 8.86/6.39 tff(15566,plain,
% 8.86/6.39 (~always3(s66)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9458, 15565])).
% 8.86/6.39 tff(15567,plain,
% 8.86/6.39 (~always3(s65)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9470, 15566])).
% 8.86/6.39 tff(15568,plain,
% 8.86/6.39 (~always3(s64)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9482, 15567])).
% 8.86/6.39 tff(15569,plain,
% 8.86/6.39 (~always3(s63)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9494, 15568])).
% 8.86/6.39 tff(15570,plain,
% 8.86/6.39 (~always3(s62)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9506, 15569])).
% 8.86/6.39 tff(15571,plain,
% 8.86/6.39 (~always3(s61)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9518, 15570])).
% 8.86/6.39 tff(15572,plain,
% 8.86/6.39 (~always3(s60)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9530, 15571])).
% 8.86/6.39 tff(15573,plain,
% 8.86/6.39 (~node4(s60)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9591, 22, 15572])).
% 8.86/6.39 tff(15574,plain,
% 8.86/6.39 (~always3(s59)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9542, 15572])).
% 8.86/6.39 tff(15575,plain,
% 8.86/6.39 (~node4(s59)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9546, 22, 15574])).
% 8.86/6.39 tff(15576,plain,
% 8.86/6.39 (xuntil6(s59)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[14954, 15575])).
% 8.86/6.39 tff(15577,plain,
% 8.86/6.39 (until5(s60)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9587, 15576])).
% 8.86/6.39 tff(15578,plain,
% 8.86/6.39 (xuntil6(s60)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9598, 36, 15577, 15573])).
% 8.86/6.39 tff(15579,plain,
% 8.86/6.39 (until5(s61)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9604, 15578])).
% 8.86/6.39 tff(15580,plain,
% 8.86/6.39 (~node4(s61)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9608, 22, 15571])).
% 8.86/6.39 tff(15581,plain,
% 8.86/6.39 (xuntil6(s61) | (~until5(s61))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9615, 36, 15580])).
% 8.86/6.39 tff(15582,plain,
% 8.86/6.39 (xuntil6(s61)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15581, 15579])).
% 8.86/6.39 tff(15583,plain,
% 8.86/6.39 (until5(s62)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9621, 15582])).
% 8.86/6.39 tff(15584,plain,
% 8.86/6.39 (~node4(s62)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9625, 22, 15570])).
% 8.86/6.39 tff(15585,plain,
% 8.86/6.39 (xuntil6(s62) | (~until5(s62))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9632, 36, 15584])).
% 8.86/6.39 tff(15586,plain,
% 8.86/6.39 (xuntil6(s62)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15585, 15583])).
% 8.86/6.39 tff(15587,plain,
% 8.86/6.39 (until5(s63)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9638, 15586])).
% 8.86/6.39 tff(15588,plain,
% 8.86/6.39 (~node4(s63)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9642, 22, 15569])).
% 8.86/6.39 tff(15589,plain,
% 8.86/6.39 (xuntil6(s63) | (~until5(s63))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9649, 36, 15588])).
% 8.86/6.39 tff(15590,plain,
% 8.86/6.39 (xuntil6(s63)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15589, 15587])).
% 8.86/6.39 tff(15591,plain,
% 8.86/6.39 (until5(s64)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9655, 15590])).
% 8.86/6.39 tff(15592,plain,
% 8.86/6.39 (~node4(s64)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9659, 22, 15568])).
% 8.86/6.39 tff(15593,plain,
% 8.86/6.39 (xuntil6(s64) | (~until5(s64))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9666, 36, 15592])).
% 8.86/6.39 tff(15594,plain,
% 8.86/6.39 (xuntil6(s64)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15593, 15591])).
% 8.86/6.39 tff(15595,plain,
% 8.86/6.39 (until5(s65)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9672, 15594])).
% 8.86/6.39 tff(15596,plain,
% 8.86/6.39 (~node4(s65)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9676, 22, 15567])).
% 8.86/6.39 tff(15597,plain,
% 8.86/6.39 (xuntil6(s65) | (~until5(s65))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9683, 36, 15596])).
% 8.86/6.39 tff(15598,plain,
% 8.86/6.39 (xuntil6(s65)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15597, 15595])).
% 8.86/6.39 tff(15599,plain,
% 8.86/6.39 (until5(s66)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9689, 15598])).
% 8.86/6.39 tff(15600,plain,
% 8.86/6.39 (~node4(s66)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9693, 22, 15566])).
% 8.86/6.39 tff(15601,plain,
% 8.86/6.39 (xuntil6(s66) | (~until5(s66))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9700, 36, 15600])).
% 8.86/6.39 tff(15602,plain,
% 8.86/6.39 (xuntil6(s66)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15601, 15599])).
% 8.86/6.39 tff(15603,plain,
% 8.86/6.39 (until5(s67)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9706, 15602])).
% 8.86/6.39 tff(15604,plain,
% 8.86/6.39 (~node4(s67)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9710, 22, 15565])).
% 8.86/6.39 tff(15605,plain,
% 8.86/6.39 (xuntil6(s67) | (~until5(s67))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9717, 36, 15604])).
% 8.86/6.39 tff(15606,plain,
% 8.86/6.39 (xuntil6(s67)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15605, 15603])).
% 8.86/6.39 tff(15607,plain,
% 8.86/6.39 ($false),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9723, 15606, 15564])).
% 8.86/6.39 tff(15608,plain,(always3(s76) | (~until5(s59)) | xuntil6(s76)), inference(lemma,lemma(discharge,[]))).
% 8.86/6.39 tff(15609,plain,
% 8.86/6.39 (always3(s76)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15608, 14953, 15521])).
% 8.86/6.39 tff(15610,plain,
% 8.86/6.39 (((~![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)))),
% 8.86/6.39 inference(rewrite,[status(thm)],[])).
% 8.86/6.39 tff(15611,plain,
% 8.86/6.39 (((~m_main_v_state(s76, c_busy)) | (~always3(s76))) <=> ((~always3(s76)) | (~m_main_v_state(s76, c_busy)))),
% 8.86/6.39 inference(rewrite,[status(thm)],[])).
% 8.86/6.39 tff(15612,plain,
% 8.86/6.39 (((~![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))))),
% 8.86/6.39 inference(monotonicity,[status(thm)],[15611])).
% 8.86/6.39 tff(15613,plain,
% 8.86/6.39 (((~![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)))),
% 8.86/6.39 inference(transitivity,[status(thm)],[15612, 15610])).
% 8.86/6.39 tff(15614,plain,
% 8.86/6.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s76, c_busy)) | (~always3(s76)))),
% 8.86/6.39 inference(quant_inst,[status(thm)],[])).
% 8.86/6.39 tff(15615,plain,
% 8.86/6.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s76)) | (~m_main_v_state(s76, c_busy))),
% 8.86/6.39 inference(modus_ponens,[status(thm)],[15614, 15613])).
% 8.86/6.39 tff(15616,plain,
% 8.86/6.39 (~m_main_v_state(s76, c_busy)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15615, 170, 15609])).
% 8.86/6.39 tff(15617,assumption,(~m_main_v_state(s76, c_busy)), introduced(assumption)).
% 8.86/6.39 tff(15618,assumption,(node4(s75)), introduced(assumption)).
% 8.86/6.39 tff(15619,plain,
% 8.86/6.39 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s75) | (~node4(s75)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s75) | (~node4(s75)))),
% 8.86/6.39 inference(rewrite,[status(thm)],[])).
% 8.86/6.39 tff(15620,plain,
% 8.86/6.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s75) | (~node4(s75)))),
% 8.86/6.39 inference(quant_inst,[status(thm)],[])).
% 8.86/6.39 tff(15621,plain,
% 8.86/6.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s75) | (~node4(s75))),
% 8.86/6.39 inference(modus_ponens,[status(thm)],[15620, 15619])).
% 8.86/6.39 tff(15622,plain,
% 8.86/6.39 (m_main_v_request(s75)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15621, 154, 15618])).
% 8.86/6.39 tff(15623,plain,
% 8.86/6.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s75, s76)) | node2(s75, s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s75, s76)) | node2(s75, s76))),
% 8.86/6.39 inference(rewrite,[status(thm)],[])).
% 8.86/6.39 tff(15624,plain,
% 8.86/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s75, s76)) | node2(s75, s76))),
% 8.86/6.39 inference(quant_inst,[status(thm)],[])).
% 8.86/6.39 tff(15625,plain,
% 8.86/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s75, s76)) | node2(s75, s76)),
% 8.86/6.39 inference(modus_ponens,[status(thm)],[15624, 15623])).
% 8.86/6.39 tff(15626,plain,
% 8.86/6.39 (node2(s75, s76)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15625, 7, 9346])).
% 8.86/6.39 tff(15627,plain,
% 8.86/6.39 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s75, c_ready)) | (~node2(s75, s76)) | m_main_v_state(s76, c_busy) | (~m_main_v_request(s75)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s75, c_ready)) | (~node2(s75, s76)) | m_main_v_state(s76, c_busy) | (~m_main_v_request(s75)))),
% 8.86/6.39 inference(rewrite,[status(thm)],[])).
% 8.86/6.39 tff(15628,plain,
% 8.86/6.39 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s75, c_ready)) | (~node2(s75, s76)) | m_main_v_state(s76, c_busy) | (~m_main_v_request(s75)))),
% 8.86/6.39 inference(quant_inst,[status(thm)],[])).
% 8.86/6.39 tff(15629,plain,
% 8.86/6.39 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s75, c_ready)) | (~node2(s75, s76)) | m_main_v_state(s76, c_busy) | (~m_main_v_request(s75))),
% 8.86/6.39 inference(modus_ponens,[status(thm)],[15628, 15627])).
% 8.86/6.39 tff(15630,plain,
% 8.86/6.39 ((~m_main_v_state(s75, c_ready)) | m_main_v_state(s76, c_busy) | (~m_main_v_request(s75))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15629, 191, 15626])).
% 8.86/6.39 tff(15631,plain,
% 8.86/6.39 (~m_main_v_state(s75, c_ready)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15630, 15622, 15617])).
% 8.86/6.39 tff(15632,plain,
% 8.86/6.39 (always3(s75)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9846, 22, 15618])).
% 8.86/6.39 tff(15633,plain,
% 8.86/6.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s75)) | (~m_main_v_state(s75, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s75)) | (~m_main_v_state(s75, c_busy)))),
% 8.86/6.39 inference(rewrite,[status(thm)],[])).
% 8.86/6.39 tff(15634,plain,
% 8.86/6.39 (((~m_main_v_state(s75, c_busy)) | (~always3(s75))) <=> ((~always3(s75)) | (~m_main_v_state(s75, c_busy)))),
% 8.86/6.39 inference(rewrite,[status(thm)],[])).
% 8.86/6.39 tff(15635,plain,
% 8.86/6.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s75, c_busy)) | (~always3(s75)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s75)) | (~m_main_v_state(s75, c_busy))))),
% 8.86/6.39 inference(monotonicity,[status(thm)],[15634])).
% 8.86/6.39 tff(15636,plain,
% 8.86/6.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s75, c_busy)) | (~always3(s75)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s75)) | (~m_main_v_state(s75, c_busy)))),
% 8.86/6.39 inference(transitivity,[status(thm)],[15635, 15633])).
% 8.86/6.39 tff(15637,plain,
% 8.86/6.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s75, c_busy)) | (~always3(s75)))),
% 8.86/6.39 inference(quant_inst,[status(thm)],[])).
% 8.86/6.39 tff(15638,plain,
% 8.86/6.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s75)) | (~m_main_v_state(s75, c_busy))),
% 8.86/6.39 inference(modus_ponens,[status(thm)],[15637, 15636])).
% 8.86/6.39 tff(15639,plain,
% 8.86/6.39 (~m_main_v_state(s75, c_busy)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15638, 170, 15632])).
% 8.86/6.39 tff(15640,plain,
% 8.86/6.39 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s75, c_busy) | m_main_v_state(s75, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s75, c_busy) | m_main_v_state(s75, c_ready))),
% 8.86/6.39 inference(rewrite,[status(thm)],[])).
% 8.86/6.39 tff(15641,plain,
% 8.86/6.39 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s75, c_busy) | m_main_v_state(s75, c_ready))),
% 8.86/6.39 inference(quant_inst,[status(thm)],[])).
% 8.86/6.39 tff(15642,plain,
% 8.86/6.39 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s75, c_busy) | m_main_v_state(s75, c_ready)),
% 8.86/6.39 inference(modus_ponens,[status(thm)],[15641, 15640])).
% 8.86/6.39 tff(15643,plain,
% 8.86/6.39 ($false),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15642, 213, 15639, 15631])).
% 8.86/6.39 tff(15644,plain,((~node4(s75)) | m_main_v_state(s76, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.86/6.39 tff(15645,plain,
% 8.86/6.39 (~node4(s75)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15644, 15616])).
% 8.86/6.39 tff(15646,assumption,(~m_main_v_state(s76, c_ready)), introduced(assumption)).
% 8.86/6.39 tff(15647,plain,
% 8.86/6.39 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s75, s76)) | m_main_v_state(s76, c_busy) | node1(s75) | m_main_v_state(s76, 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(s75, s76)) | m_main_v_state(s76, c_busy) | node1(s75) | m_main_v_state(s76, c_ready))),
% 8.86/6.39 inference(rewrite,[status(thm)],[])).
% 8.86/6.39 tff(15648,plain,
% 8.86/6.39 ((node1(s75) | m_main_v_state(s76, c_ready) | (~node2(s75, s76)) | m_main_v_state(s76, c_busy)) <=> ((~node2(s75, s76)) | m_main_v_state(s76, c_busy) | node1(s75) | m_main_v_state(s76, c_ready))),
% 8.86/6.39 inference(rewrite,[status(thm)],[])).
% 8.86/6.39 tff(15649,plain,
% 8.86/6.39 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s75) | m_main_v_state(s76, c_ready) | (~node2(s75, s76)) | m_main_v_state(s76, 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(s75, s76)) | m_main_v_state(s76, c_busy) | node1(s75) | m_main_v_state(s76, c_ready)))),
% 8.86/6.39 inference(monotonicity,[status(thm)],[15648])).
% 8.86/6.39 tff(15650,plain,
% 8.86/6.39 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s75) | m_main_v_state(s76, c_ready) | (~node2(s75, s76)) | m_main_v_state(s76, 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(s75, s76)) | m_main_v_state(s76, c_busy) | node1(s75) | m_main_v_state(s76, c_ready))),
% 8.86/6.39 inference(transitivity,[status(thm)],[15649, 15647])).
% 8.86/6.39 tff(15651,plain,
% 8.86/6.39 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s75) | m_main_v_state(s76, c_ready) | (~node2(s75, s76)) | m_main_v_state(s76, c_busy))),
% 8.86/6.39 inference(quant_inst,[status(thm)],[])).
% 8.86/6.39 tff(15652,plain,
% 8.86/6.39 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s75, s76)) | m_main_v_state(s76, c_busy) | node1(s75) | m_main_v_state(s76, c_ready)),
% 8.86/6.39 inference(modus_ponens,[status(thm)],[15651, 15650])).
% 8.86/6.39 tff(15653,plain,
% 8.86/6.39 (m_main_v_state(s76, c_busy) | node1(s75) | m_main_v_state(s76, c_ready)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15652, 4166, 15626])).
% 8.86/6.39 tff(15654,plain,
% 8.86/6.39 (node1(s75)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15653, 15617, 15646])).
% 8.86/6.39 tff(15655,plain,
% 8.86/6.39 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s75, c_ready) | (~node1(s75)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s75, c_ready) | (~node1(s75)))),
% 8.86/6.39 inference(rewrite,[status(thm)],[])).
% 8.86/6.39 tff(15656,plain,
% 8.86/6.39 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s75, c_ready) | (~node1(s75)))),
% 8.86/6.39 inference(quant_inst,[status(thm)],[])).
% 8.86/6.39 tff(15657,plain,
% 8.86/6.39 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s75, c_ready) | (~node1(s75))),
% 8.86/6.39 inference(modus_ponens,[status(thm)],[15656, 15655])).
% 8.86/6.39 tff(15658,plain,
% 8.86/6.39 (m_main_v_state(s75, c_ready)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15657, 4151, 15654])).
% 8.86/6.39 tff(15659,plain,
% 8.86/6.39 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s75) | (~node1(s75)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s75) | (~node1(s75)))),
% 8.86/6.39 inference(rewrite,[status(thm)],[])).
% 8.86/6.39 tff(15660,plain,
% 8.86/6.39 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s75) | (~node1(s75)))),
% 8.86/6.39 inference(quant_inst,[status(thm)],[])).
% 8.86/6.39 tff(15661,plain,
% 8.86/6.39 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s75) | (~node1(s75))),
% 8.86/6.39 inference(modus_ponens,[status(thm)],[15660, 15659])).
% 8.86/6.39 tff(15662,plain,
% 8.86/6.39 (m_main_v_request(s75)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15661, 14380, 15654])).
% 8.86/6.39 tff(15663,plain,
% 8.86/6.39 ($false),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15630, 15662, 15658, 15617])).
% 8.86/6.39 tff(15664,plain,(m_main_v_state(s76, c_busy) | m_main_v_state(s76, c_ready)), inference(lemma,lemma(discharge,[]))).
% 8.86/6.39 tff(15665,plain,
% 8.86/6.39 (m_main_v_state(s76, c_ready)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15664, 15616])).
% 8.86/6.39 tff(15666,plain,
% 8.86/6.39 (always3(s77)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9338, 15609])).
% 8.86/6.39 tff(15667,plain,
% 8.86/6.39 (~m_main_v_state(s77, c_busy)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15513, 170, 15666])).
% 8.86/6.39 tff(15668,plain,
% 8.86/6.39 (((~![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))),
% 8.86/6.39 inference(rewrite,[status(thm)],[])).
% 8.86/6.39 tff(15669,plain,
% 8.86/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s76, s77)) | node2(s76, s77))),
% 8.86/6.39 inference(quant_inst,[status(thm)],[])).
% 8.86/6.39 tff(15670,plain,
% 8.86/6.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s76, s77)) | node2(s76, s77)),
% 8.86/6.39 inference(modus_ponens,[status(thm)],[15669, 15668])).
% 8.86/6.39 tff(15671,plain,
% 8.86/6.39 (node2(s76, s77)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15670, 7, 9334])).
% 8.86/6.39 tff(15672,plain,
% 8.86/6.39 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.86/6.39 inference(rewrite,[status(thm)],[])).
% 8.86/6.39 tff(15673,plain,
% 8.86/6.39 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.86/6.39 inference(quant_inst,[status(thm)],[])).
% 8.86/6.39 tff(15674,plain,
% 8.86/6.39 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.86/6.39 inference(modus_ponens,[status(thm)],[15673, 15672])).
% 8.86/6.39 tff(15675,plain,
% 8.86/6.39 ((~m_main_v_state(s76, c_ready)) | m_main_v_state(s77, c_busy) | (~m_main_v_request(s76))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15674, 191, 15671])).
% 8.86/6.39 tff(15676,plain,
% 8.86/6.39 (~m_main_v_request(s76)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15675, 15667, 15665])).
% 8.86/6.39 tff(15677,plain,
% 8.86/6.39 (((~![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)))),
% 8.86/6.39 inference(rewrite,[status(thm)],[])).
% 8.86/6.39 tff(15678,plain,
% 8.86/6.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s76) | (~node4(s76)))),
% 8.86/6.39 inference(quant_inst,[status(thm)],[])).
% 8.86/6.39 tff(15679,plain,
% 8.86/6.39 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s76) | (~node4(s76))),
% 8.86/6.39 inference(modus_ponens,[status(thm)],[15678, 15677])).
% 8.86/6.39 tff(15680,plain,
% 8.86/6.39 (~node4(s76)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15679, 154, 15676])).
% 8.86/6.39 tff(15681,plain,
% 8.86/6.39 (~until5(s76)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15526, 15680])).
% 8.86/6.39 tff(15682,plain,
% 8.86/6.39 (~xuntil6(s75)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9859, 15681])).
% 8.86/6.39 tff(15683,plain,
% 8.86/6.39 (~until5(s75)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9853, 36, 15682, 15645])).
% 8.86/6.39 tff(15684,plain,
% 8.86/6.39 (~xuntil6(s74)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9842, 15683])).
% 8.86/6.39 tff(15685,assumption,(~always3(s74)), introduced(assumption)).
% 8.86/6.39 tff(15686,plain,
% 8.86/6.39 (~always3(s73)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9374, 15685])).
% 8.86/6.39 tff(15687,plain,
% 8.86/6.39 (~node4(s73)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9812, 22, 15686])).
% 8.86/6.39 tff(15688,plain,
% 8.86/6.39 (~node4(s74)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9829, 22, 15685])).
% 8.86/6.39 tff(15689,assumption,(~xuntil6(s74)), introduced(assumption)).
% 8.86/6.39 tff(15690,plain,
% 8.86/6.39 (node4(s74) | (~until5(s74))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9836, 36, 15689])).
% 8.86/6.39 tff(15691,plain,
% 8.86/6.39 (~until5(s74)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15690, 15688])).
% 8.86/6.39 tff(15692,plain,
% 8.86/6.39 (~xuntil6(s73)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9825, 15691])).
% 8.86/6.39 tff(15693,plain,
% 8.86/6.39 (~until5(s73)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9819, 36, 15692, 15687])).
% 8.86/6.39 tff(15694,plain,
% 8.86/6.39 (~xuntil6(s72)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9808, 15693])).
% 8.86/6.39 tff(15695,plain,
% 8.86/6.39 (~always3(s72)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9386, 15686])).
% 8.86/6.39 tff(15696,plain,
% 8.86/6.39 (~node4(s72)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9795, 22, 15695])).
% 8.86/6.39 tff(15697,plain,
% 8.86/6.39 (xuntil6(s72) | (~until5(s72))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9802, 36, 15696])).
% 8.86/6.39 tff(15698,plain,
% 8.86/6.39 (~until5(s72)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15697, 15694])).
% 8.86/6.39 tff(15699,plain,
% 8.86/6.39 (~xuntil6(s71)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9791, 15698])).
% 8.86/6.39 tff(15700,plain,
% 8.86/6.39 (~always3(s71)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9398, 15695])).
% 8.86/6.39 tff(15701,plain,
% 8.86/6.39 (~node4(s71)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9778, 22, 15700])).
% 8.86/6.39 tff(15702,plain,
% 8.86/6.39 (xuntil6(s71) | (~until5(s71))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9785, 36, 15701])).
% 8.86/6.39 tff(15703,plain,
% 8.86/6.39 (~until5(s71)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15702, 15699])).
% 8.86/6.39 tff(15704,plain,
% 8.86/6.39 (~xuntil6(s70)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9774, 15703])).
% 8.86/6.39 tff(15705,plain,
% 8.86/6.39 (~always3(s70)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9410, 15700])).
% 8.86/6.39 tff(15706,plain,
% 8.86/6.39 (~node4(s70)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9761, 22, 15705])).
% 8.86/6.39 tff(15707,plain,
% 8.86/6.39 (xuntil6(s70) | (~until5(s70))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9768, 36, 15706])).
% 8.86/6.39 tff(15708,plain,
% 8.86/6.39 (~until5(s70)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15707, 15704])).
% 8.86/6.39 tff(15709,plain,
% 8.86/6.39 (~xuntil6(s69)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9757, 15708])).
% 8.86/6.39 tff(15710,plain,
% 8.86/6.39 (~always3(s69)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9422, 15705])).
% 8.86/6.39 tff(15711,plain,
% 8.86/6.39 (~node4(s69)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9744, 22, 15710])).
% 8.86/6.39 tff(15712,plain,
% 8.86/6.39 (xuntil6(s69) | (~until5(s69))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9751, 36, 15711])).
% 8.86/6.39 tff(15713,plain,
% 8.86/6.39 (~until5(s69)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15712, 15709])).
% 8.86/6.39 tff(15714,plain,
% 8.86/6.39 (~xuntil6(s68)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9740, 15713])).
% 8.86/6.39 tff(15715,plain,
% 8.86/6.39 (~always3(s68)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9434, 15710])).
% 8.86/6.39 tff(15716,plain,
% 8.86/6.39 (~node4(s68)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9727, 22, 15715])).
% 8.86/6.39 tff(15717,plain,
% 8.86/6.39 (xuntil6(s68) | (~until5(s68))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9734, 36, 15716])).
% 8.86/6.39 tff(15718,plain,
% 8.86/6.39 (~until5(s68)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15717, 15714])).
% 8.86/6.39 tff(15719,plain,
% 8.86/6.39 (~xuntil6(s67)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9723, 15718])).
% 8.86/6.39 tff(15720,plain,
% 8.86/6.39 (~always3(s67)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9446, 15715])).
% 8.86/6.39 tff(15721,plain,
% 8.86/6.39 (~node4(s67)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9710, 22, 15720])).
% 8.86/6.39 tff(15722,plain,
% 8.86/6.39 (xuntil6(s67) | (~until5(s67))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9717, 36, 15721])).
% 8.86/6.39 tff(15723,plain,
% 8.86/6.39 (~until5(s67)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15722, 15719])).
% 8.86/6.39 tff(15724,plain,
% 8.86/6.39 (~always3(s66)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9458, 15720])).
% 8.86/6.39 tff(15725,plain,
% 8.86/6.39 (~always3(s65)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9470, 15724])).
% 8.86/6.39 tff(15726,plain,
% 8.86/6.39 (~always3(s64)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9482, 15725])).
% 8.86/6.39 tff(15727,plain,
% 8.86/6.39 (~always3(s63)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9494, 15726])).
% 8.86/6.39 tff(15728,plain,
% 8.86/6.39 (~always3(s62)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9506, 15727])).
% 8.86/6.39 tff(15729,plain,
% 8.86/6.39 (~always3(s61)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9518, 15728])).
% 8.86/6.39 tff(15730,plain,
% 8.86/6.39 (~always3(s60)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9530, 15729])).
% 8.86/6.39 tff(15731,plain,
% 8.86/6.39 (~node4(s60)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9591, 22, 15730])).
% 8.86/6.39 tff(15732,plain,
% 8.86/6.39 (~always3(s59)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9542, 15730])).
% 8.86/6.39 tff(15733,plain,
% 8.86/6.39 (~node4(s59)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9546, 22, 15732])).
% 8.86/6.39 tff(15734,plain,
% 8.86/6.39 (xuntil6(s59)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[14954, 15733])).
% 8.86/6.39 tff(15735,plain,
% 8.86/6.39 (until5(s60)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9587, 15734])).
% 8.86/6.39 tff(15736,plain,
% 8.86/6.39 (xuntil6(s60)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9598, 36, 15735, 15731])).
% 8.86/6.39 tff(15737,plain,
% 8.86/6.39 (until5(s61)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9604, 15736])).
% 8.86/6.39 tff(15738,plain,
% 8.86/6.39 (~node4(s61)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9608, 22, 15729])).
% 8.86/6.39 tff(15739,plain,
% 8.86/6.39 (xuntil6(s61) | (~until5(s61))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9615, 36, 15738])).
% 8.86/6.39 tff(15740,plain,
% 8.86/6.39 (xuntil6(s61)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15739, 15737])).
% 8.86/6.39 tff(15741,plain,
% 8.86/6.39 (until5(s62)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9621, 15740])).
% 8.86/6.39 tff(15742,plain,
% 8.86/6.39 (~node4(s62)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9625, 22, 15728])).
% 8.86/6.39 tff(15743,plain,
% 8.86/6.39 (xuntil6(s62) | (~until5(s62))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9632, 36, 15742])).
% 8.86/6.39 tff(15744,plain,
% 8.86/6.39 (xuntil6(s62)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15743, 15741])).
% 8.86/6.39 tff(15745,plain,
% 8.86/6.39 (until5(s63)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9638, 15744])).
% 8.86/6.39 tff(15746,plain,
% 8.86/6.39 (~node4(s63)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9642, 22, 15727])).
% 8.86/6.39 tff(15747,plain,
% 8.86/6.39 (xuntil6(s63) | (~until5(s63))),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[9649, 36, 15746])).
% 8.86/6.39 tff(15748,plain,
% 8.86/6.39 (xuntil6(s63)),
% 8.86/6.39 inference(unit_resolution,[status(thm)],[15747, 15745])).
% 8.96/6.39 tff(15749,plain,
% 8.96/6.39 (until5(s64)),
% 8.96/6.39 inference(unit_resolution,[status(thm)],[9655, 15748])).
% 8.96/6.39 tff(15750,plain,
% 8.96/6.39 (~node4(s64)),
% 8.96/6.39 inference(unit_resolution,[status(thm)],[9659, 22, 15726])).
% 8.96/6.39 tff(15751,plain,
% 8.96/6.39 (xuntil6(s64) | (~until5(s64))),
% 8.96/6.39 inference(unit_resolution,[status(thm)],[9666, 36, 15750])).
% 8.96/6.39 tff(15752,plain,
% 8.96/6.39 (xuntil6(s64)),
% 8.96/6.39 inference(unit_resolution,[status(thm)],[15751, 15749])).
% 8.96/6.39 tff(15753,plain,
% 8.96/6.39 (until5(s65)),
% 8.96/6.39 inference(unit_resolution,[status(thm)],[9672, 15752])).
% 8.96/6.39 tff(15754,plain,
% 8.96/6.39 (~node4(s65)),
% 8.96/6.39 inference(unit_resolution,[status(thm)],[9676, 22, 15725])).
% 8.96/6.39 tff(15755,plain,
% 8.96/6.39 (xuntil6(s65) | (~until5(s65))),
% 8.96/6.39 inference(unit_resolution,[status(thm)],[9683, 36, 15754])).
% 8.96/6.39 tff(15756,plain,
% 8.96/6.39 (xuntil6(s65)),
% 8.96/6.39 inference(unit_resolution,[status(thm)],[15755, 15753])).
% 8.96/6.39 tff(15757,plain,
% 8.96/6.39 (until5(s66)),
% 8.96/6.39 inference(unit_resolution,[status(thm)],[9689, 15756])).
% 8.96/6.39 tff(15758,plain,
% 8.96/6.39 (~node4(s66)),
% 8.96/6.39 inference(unit_resolution,[status(thm)],[9693, 22, 15724])).
% 8.96/6.39 tff(15759,plain,
% 8.96/6.39 (xuntil6(s66) | (~until5(s66))),
% 8.96/6.39 inference(unit_resolution,[status(thm)],[9700, 36, 15758])).
% 8.96/6.39 tff(15760,plain,
% 8.96/6.39 (xuntil6(s66)),
% 8.96/6.39 inference(unit_resolution,[status(thm)],[15759, 15757])).
% 8.96/6.39 tff(15761,plain,
% 8.96/6.39 ($false),
% 8.96/6.39 inference(unit_resolution,[status(thm)],[9706, 15760, 15723])).
% 8.96/6.39 tff(15762,plain,(always3(s74) | (~until5(s59)) | xuntil6(s74)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.39 tff(15763,plain,
% 8.96/6.39 (always3(s74)),
% 8.96/6.39 inference(unit_resolution,[status(thm)],[15762, 15684, 14953])).
% 8.96/6.39 tff(15764,plain,
% 8.96/6.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s74)) | (~m_main_v_state(s74, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s74)) | (~m_main_v_state(s74, c_busy)))),
% 8.96/6.39 inference(rewrite,[status(thm)],[])).
% 8.96/6.39 tff(15765,plain,
% 8.96/6.39 (((~m_main_v_state(s74, c_busy)) | (~always3(s74))) <=> ((~always3(s74)) | (~m_main_v_state(s74, c_busy)))),
% 8.96/6.39 inference(rewrite,[status(thm)],[])).
% 8.96/6.39 tff(15766,plain,
% 8.96/6.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s74, c_busy)) | (~always3(s74)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s74)) | (~m_main_v_state(s74, c_busy))))),
% 8.96/6.39 inference(monotonicity,[status(thm)],[15765])).
% 8.96/6.39 tff(15767,plain,
% 8.96/6.39 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s74, c_busy)) | (~always3(s74)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s74)) | (~m_main_v_state(s74, c_busy)))),
% 8.96/6.39 inference(transitivity,[status(thm)],[15766, 15764])).
% 8.96/6.39 tff(15768,plain,
% 8.96/6.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s74, c_busy)) | (~always3(s74)))),
% 8.96/6.39 inference(quant_inst,[status(thm)],[])).
% 8.96/6.39 tff(15769,plain,
% 8.96/6.39 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s74)) | (~m_main_v_state(s74, c_busy))),
% 8.96/6.39 inference(modus_ponens,[status(thm)],[15768, 15767])).
% 8.96/6.40 tff(15770,plain,
% 8.96/6.40 (~m_main_v_state(s74, c_busy)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15769, 170, 15763])).
% 8.96/6.40 tff(15771,assumption,(~m_main_v_state(s74, c_busy)), introduced(assumption)).
% 8.96/6.40 tff(15772,assumption,(node4(s73)), introduced(assumption)).
% 8.96/6.40 tff(15773,plain,
% 8.96/6.40 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s73) | (~node4(s73)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s73) | (~node4(s73)))),
% 8.96/6.40 inference(rewrite,[status(thm)],[])).
% 8.96/6.40 tff(15774,plain,
% 8.96/6.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s73) | (~node4(s73)))),
% 8.96/6.40 inference(quant_inst,[status(thm)],[])).
% 8.96/6.40 tff(15775,plain,
% 8.96/6.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s73) | (~node4(s73))),
% 8.96/6.40 inference(modus_ponens,[status(thm)],[15774, 15773])).
% 8.96/6.40 tff(15776,plain,
% 8.96/6.40 (m_main_v_request(s73)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15775, 154, 15772])).
% 8.96/6.40 tff(15777,plain,
% 8.96/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s73, s74)) | node2(s73, s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s73, s74)) | node2(s73, s74))),
% 8.96/6.40 inference(rewrite,[status(thm)],[])).
% 8.96/6.40 tff(15778,plain,
% 8.96/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s73, s74)) | node2(s73, s74))),
% 8.96/6.40 inference(quant_inst,[status(thm)],[])).
% 8.96/6.40 tff(15779,plain,
% 8.96/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s73, s74)) | node2(s73, s74)),
% 8.96/6.40 inference(modus_ponens,[status(thm)],[15778, 15777])).
% 8.96/6.40 tff(15780,plain,
% 8.96/6.40 (node2(s73, s74)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15779, 7, 9370])).
% 8.96/6.40 tff(15781,plain,
% 8.96/6.40 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s73, c_ready)) | (~node2(s73, s74)) | m_main_v_state(s74, c_busy) | (~m_main_v_request(s73)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s73, c_ready)) | (~node2(s73, s74)) | m_main_v_state(s74, c_busy) | (~m_main_v_request(s73)))),
% 8.96/6.40 inference(rewrite,[status(thm)],[])).
% 8.96/6.40 tff(15782,plain,
% 8.96/6.40 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s73, c_ready)) | (~node2(s73, s74)) | m_main_v_state(s74, c_busy) | (~m_main_v_request(s73)))),
% 8.96/6.40 inference(quant_inst,[status(thm)],[])).
% 8.96/6.40 tff(15783,plain,
% 8.96/6.40 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s73, c_ready)) | (~node2(s73, s74)) | m_main_v_state(s74, c_busy) | (~m_main_v_request(s73))),
% 8.96/6.40 inference(modus_ponens,[status(thm)],[15782, 15781])).
% 8.96/6.40 tff(15784,plain,
% 8.96/6.40 ((~m_main_v_state(s73, c_ready)) | m_main_v_state(s74, c_busy) | (~m_main_v_request(s73))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15783, 191, 15780])).
% 8.96/6.40 tff(15785,plain,
% 8.96/6.40 (~m_main_v_state(s73, c_ready)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15784, 15776, 15771])).
% 8.96/6.40 tff(15786,plain,
% 8.96/6.40 (always3(s73)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9812, 22, 15772])).
% 8.96/6.40 tff(15787,plain,
% 8.96/6.40 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s73)) | (~m_main_v_state(s73, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s73)) | (~m_main_v_state(s73, c_busy)))),
% 8.96/6.40 inference(rewrite,[status(thm)],[])).
% 8.96/6.40 tff(15788,plain,
% 8.96/6.40 (((~m_main_v_state(s73, c_busy)) | (~always3(s73))) <=> ((~always3(s73)) | (~m_main_v_state(s73, c_busy)))),
% 8.96/6.40 inference(rewrite,[status(thm)],[])).
% 8.96/6.40 tff(15789,plain,
% 8.96/6.40 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s73, c_busy)) | (~always3(s73)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s73)) | (~m_main_v_state(s73, c_busy))))),
% 8.96/6.40 inference(monotonicity,[status(thm)],[15788])).
% 8.96/6.40 tff(15790,plain,
% 8.96/6.40 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s73, c_busy)) | (~always3(s73)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s73)) | (~m_main_v_state(s73, c_busy)))),
% 8.96/6.40 inference(transitivity,[status(thm)],[15789, 15787])).
% 8.96/6.40 tff(15791,plain,
% 8.96/6.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s73, c_busy)) | (~always3(s73)))),
% 8.96/6.40 inference(quant_inst,[status(thm)],[])).
% 8.96/6.40 tff(15792,plain,
% 8.96/6.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s73)) | (~m_main_v_state(s73, c_busy))),
% 8.96/6.40 inference(modus_ponens,[status(thm)],[15791, 15790])).
% 8.96/6.40 tff(15793,plain,
% 8.96/6.40 (~m_main_v_state(s73, c_busy)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15792, 170, 15786])).
% 8.96/6.40 tff(15794,plain,
% 8.96/6.40 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s73, c_busy) | m_main_v_state(s73, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s73, c_busy) | m_main_v_state(s73, c_ready))),
% 8.96/6.40 inference(rewrite,[status(thm)],[])).
% 8.96/6.40 tff(15795,plain,
% 8.96/6.40 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s73, c_busy) | m_main_v_state(s73, c_ready))),
% 8.96/6.40 inference(quant_inst,[status(thm)],[])).
% 8.96/6.40 tff(15796,plain,
% 8.96/6.40 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s73, c_busy) | m_main_v_state(s73, c_ready)),
% 8.96/6.40 inference(modus_ponens,[status(thm)],[15795, 15794])).
% 8.96/6.40 tff(15797,plain,
% 8.96/6.40 ($false),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15796, 213, 15793, 15785])).
% 8.96/6.40 tff(15798,plain,((~node4(s73)) | m_main_v_state(s74, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.40 tff(15799,plain,
% 8.96/6.40 (~node4(s73)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15798, 15770])).
% 8.96/6.40 tff(15800,plain,
% 8.96/6.40 (always3(s75)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9362, 15763])).
% 8.96/6.40 tff(15801,plain,
% 8.96/6.40 (~m_main_v_state(s75, c_busy)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15638, 170, 15800])).
% 8.96/6.40 tff(15802,plain,
% 8.96/6.40 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s74, c_busy) | m_main_v_state(s74, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s74, c_busy) | m_main_v_state(s74, c_ready))),
% 8.96/6.40 inference(rewrite,[status(thm)],[])).
% 8.96/6.40 tff(15803,plain,
% 8.96/6.40 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s74, c_busy) | m_main_v_state(s74, c_ready))),
% 8.96/6.40 inference(quant_inst,[status(thm)],[])).
% 8.96/6.40 tff(15804,plain,
% 8.96/6.40 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s74, c_busy) | m_main_v_state(s74, c_ready)),
% 8.96/6.40 inference(modus_ponens,[status(thm)],[15803, 15802])).
% 8.96/6.40 tff(15805,plain,
% 8.96/6.40 (m_main_v_state(s74, c_ready)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15804, 213, 15770])).
% 8.96/6.40 tff(15806,plain,
% 8.96/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s74, s75)) | node2(s74, s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s74, s75)) | node2(s74, s75))),
% 8.96/6.40 inference(rewrite,[status(thm)],[])).
% 8.96/6.40 tff(15807,plain,
% 8.96/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s74, s75)) | node2(s74, s75))),
% 8.96/6.40 inference(quant_inst,[status(thm)],[])).
% 8.96/6.40 tff(15808,plain,
% 8.96/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s74, s75)) | node2(s74, s75)),
% 8.96/6.40 inference(modus_ponens,[status(thm)],[15807, 15806])).
% 8.96/6.40 tff(15809,plain,
% 8.96/6.40 (node2(s74, s75)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15808, 7, 9358])).
% 8.96/6.40 tff(15810,plain,
% 8.96/6.40 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s74, c_ready)) | (~node2(s74, s75)) | m_main_v_state(s75, c_busy) | (~m_main_v_request(s74)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s74, c_ready)) | (~node2(s74, s75)) | m_main_v_state(s75, c_busy) | (~m_main_v_request(s74)))),
% 8.96/6.40 inference(rewrite,[status(thm)],[])).
% 8.96/6.40 tff(15811,plain,
% 8.96/6.40 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s74, c_ready)) | (~node2(s74, s75)) | m_main_v_state(s75, c_busy) | (~m_main_v_request(s74)))),
% 8.96/6.40 inference(quant_inst,[status(thm)],[])).
% 8.96/6.40 tff(15812,plain,
% 8.96/6.40 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s74, c_ready)) | (~node2(s74, s75)) | m_main_v_state(s75, c_busy) | (~m_main_v_request(s74))),
% 8.96/6.40 inference(modus_ponens,[status(thm)],[15811, 15810])).
% 8.96/6.40 tff(15813,plain,
% 8.96/6.40 ((~m_main_v_state(s74, c_ready)) | m_main_v_state(s75, c_busy) | (~m_main_v_request(s74))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15812, 191, 15809])).
% 8.96/6.40 tff(15814,plain,
% 8.96/6.40 (~m_main_v_request(s74)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15813, 15805, 15801])).
% 8.96/6.40 tff(15815,plain,
% 8.96/6.40 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s74) | (~node4(s74)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s74) | (~node4(s74)))),
% 8.96/6.40 inference(rewrite,[status(thm)],[])).
% 8.96/6.40 tff(15816,plain,
% 8.96/6.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s74) | (~node4(s74)))),
% 8.96/6.40 inference(quant_inst,[status(thm)],[])).
% 8.96/6.40 tff(15817,plain,
% 8.96/6.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s74) | (~node4(s74))),
% 8.96/6.40 inference(modus_ponens,[status(thm)],[15816, 15815])).
% 8.96/6.40 tff(15818,plain,
% 8.96/6.40 (~node4(s74)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15817, 154, 15814])).
% 8.96/6.40 tff(15819,plain,
% 8.96/6.40 (node4(s74) | (~until5(s74))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9836, 36, 15684])).
% 8.96/6.40 tff(15820,plain,
% 8.96/6.40 (~until5(s74)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15819, 15818])).
% 8.96/6.40 tff(15821,plain,
% 8.96/6.40 (~xuntil6(s73)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9825, 15820])).
% 8.96/6.40 tff(15822,plain,
% 8.96/6.40 (~until5(s73)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9819, 36, 15821, 15799])).
% 8.96/6.40 tff(15823,plain,
% 8.96/6.40 (~xuntil6(s72)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9808, 15822])).
% 8.96/6.40 tff(15824,assumption,(~always3(s72)), introduced(assumption)).
% 8.96/6.40 tff(15825,plain,
% 8.96/6.40 (~always3(s71)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9398, 15824])).
% 8.96/6.40 tff(15826,plain,
% 8.96/6.40 (~node4(s71)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9778, 22, 15825])).
% 8.96/6.40 tff(15827,plain,
% 8.96/6.40 (~node4(s72)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9795, 22, 15824])).
% 8.96/6.40 tff(15828,assumption,(~xuntil6(s72)), introduced(assumption)).
% 8.96/6.40 tff(15829,plain,
% 8.96/6.40 (node4(s72) | (~until5(s72))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9802, 36, 15828])).
% 8.96/6.40 tff(15830,plain,
% 8.96/6.40 (~until5(s72)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15829, 15827])).
% 8.96/6.40 tff(15831,plain,
% 8.96/6.40 (~xuntil6(s71)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9791, 15830])).
% 8.96/6.40 tff(15832,plain,
% 8.96/6.40 (~until5(s71)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9785, 36, 15831, 15826])).
% 8.96/6.40 tff(15833,plain,
% 8.96/6.40 (~xuntil6(s70)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9774, 15832])).
% 8.96/6.40 tff(15834,plain,
% 8.96/6.40 (~always3(s70)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9410, 15825])).
% 8.96/6.40 tff(15835,plain,
% 8.96/6.40 (~node4(s70)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9761, 22, 15834])).
% 8.96/6.40 tff(15836,plain,
% 8.96/6.40 (xuntil6(s70) | (~until5(s70))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9768, 36, 15835])).
% 8.96/6.40 tff(15837,plain,
% 8.96/6.40 (~until5(s70)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15836, 15833])).
% 8.96/6.40 tff(15838,plain,
% 8.96/6.40 (~xuntil6(s69)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9757, 15837])).
% 8.96/6.40 tff(15839,plain,
% 8.96/6.40 (~always3(s69)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9422, 15834])).
% 8.96/6.40 tff(15840,plain,
% 8.96/6.40 (~node4(s69)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9744, 22, 15839])).
% 8.96/6.40 tff(15841,plain,
% 8.96/6.40 (xuntil6(s69) | (~until5(s69))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9751, 36, 15840])).
% 8.96/6.40 tff(15842,plain,
% 8.96/6.40 (~until5(s69)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15841, 15838])).
% 8.96/6.40 tff(15843,plain,
% 8.96/6.40 (~xuntil6(s68)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9740, 15842])).
% 8.96/6.40 tff(15844,plain,
% 8.96/6.40 (~always3(s68)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9434, 15839])).
% 8.96/6.40 tff(15845,plain,
% 8.96/6.40 (~node4(s68)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9727, 22, 15844])).
% 8.96/6.40 tff(15846,plain,
% 8.96/6.40 (xuntil6(s68) | (~until5(s68))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9734, 36, 15845])).
% 8.96/6.40 tff(15847,plain,
% 8.96/6.40 (~until5(s68)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15846, 15843])).
% 8.96/6.40 tff(15848,plain,
% 8.96/6.40 (~xuntil6(s67)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9723, 15847])).
% 8.96/6.40 tff(15849,plain,
% 8.96/6.40 (~always3(s67)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9446, 15844])).
% 8.96/6.40 tff(15850,plain,
% 8.96/6.40 (~node4(s67)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9710, 22, 15849])).
% 8.96/6.40 tff(15851,plain,
% 8.96/6.40 (xuntil6(s67) | (~until5(s67))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9717, 36, 15850])).
% 8.96/6.40 tff(15852,plain,
% 8.96/6.40 (~until5(s67)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15851, 15848])).
% 8.96/6.40 tff(15853,plain,
% 8.96/6.40 (~xuntil6(s66)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9706, 15852])).
% 8.96/6.40 tff(15854,plain,
% 8.96/6.40 (~always3(s66)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9458, 15849])).
% 8.96/6.40 tff(15855,plain,
% 8.96/6.40 (~node4(s66)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9693, 22, 15854])).
% 8.96/6.40 tff(15856,plain,
% 8.96/6.40 (xuntil6(s66) | (~until5(s66))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9700, 36, 15855])).
% 8.96/6.40 tff(15857,plain,
% 8.96/6.40 (~until5(s66)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15856, 15853])).
% 8.96/6.40 tff(15858,plain,
% 8.96/6.40 (~always3(s65)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9470, 15854])).
% 8.96/6.40 tff(15859,plain,
% 8.96/6.40 (~always3(s64)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9482, 15858])).
% 8.96/6.40 tff(15860,plain,
% 8.96/6.40 (~always3(s63)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9494, 15859])).
% 8.96/6.40 tff(15861,plain,
% 8.96/6.40 (~always3(s62)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9506, 15860])).
% 8.96/6.40 tff(15862,plain,
% 8.96/6.40 (~always3(s61)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9518, 15861])).
% 8.96/6.40 tff(15863,plain,
% 8.96/6.40 (~always3(s60)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9530, 15862])).
% 8.96/6.40 tff(15864,plain,
% 8.96/6.40 (~node4(s60)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9591, 22, 15863])).
% 8.96/6.40 tff(15865,plain,
% 8.96/6.40 (~always3(s59)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9542, 15863])).
% 8.96/6.40 tff(15866,plain,
% 8.96/6.40 (~node4(s59)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9546, 22, 15865])).
% 8.96/6.40 tff(15867,plain,
% 8.96/6.40 (xuntil6(s59)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[14954, 15866])).
% 8.96/6.40 tff(15868,plain,
% 8.96/6.40 (until5(s60)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9587, 15867])).
% 8.96/6.40 tff(15869,plain,
% 8.96/6.40 (xuntil6(s60)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9598, 36, 15868, 15864])).
% 8.96/6.40 tff(15870,plain,
% 8.96/6.40 (until5(s61)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9604, 15869])).
% 8.96/6.40 tff(15871,plain,
% 8.96/6.40 (~node4(s61)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9608, 22, 15862])).
% 8.96/6.40 tff(15872,plain,
% 8.96/6.40 (xuntil6(s61) | (~until5(s61))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9615, 36, 15871])).
% 8.96/6.40 tff(15873,plain,
% 8.96/6.40 (xuntil6(s61)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15872, 15870])).
% 8.96/6.40 tff(15874,plain,
% 8.96/6.40 (until5(s62)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9621, 15873])).
% 8.96/6.40 tff(15875,plain,
% 8.96/6.40 (~node4(s62)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9625, 22, 15861])).
% 8.96/6.40 tff(15876,plain,
% 8.96/6.40 (xuntil6(s62) | (~until5(s62))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9632, 36, 15875])).
% 8.96/6.40 tff(15877,plain,
% 8.96/6.40 (xuntil6(s62)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15876, 15874])).
% 8.96/6.40 tff(15878,plain,
% 8.96/6.40 (until5(s63)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9638, 15877])).
% 8.96/6.40 tff(15879,plain,
% 8.96/6.40 (~node4(s63)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9642, 22, 15860])).
% 8.96/6.40 tff(15880,plain,
% 8.96/6.40 (xuntil6(s63) | (~until5(s63))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9649, 36, 15879])).
% 8.96/6.40 tff(15881,plain,
% 8.96/6.40 (xuntil6(s63)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15880, 15878])).
% 8.96/6.40 tff(15882,plain,
% 8.96/6.40 (until5(s64)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9655, 15881])).
% 8.96/6.40 tff(15883,plain,
% 8.96/6.40 (~node4(s64)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9659, 22, 15859])).
% 8.96/6.40 tff(15884,plain,
% 8.96/6.40 (xuntil6(s64) | (~until5(s64))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9666, 36, 15883])).
% 8.96/6.40 tff(15885,plain,
% 8.96/6.40 (xuntil6(s64)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15884, 15882])).
% 8.96/6.40 tff(15886,plain,
% 8.96/6.40 (until5(s65)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9672, 15885])).
% 8.96/6.40 tff(15887,plain,
% 8.96/6.40 (~node4(s65)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9676, 22, 15858])).
% 8.96/6.40 tff(15888,plain,
% 8.96/6.40 (xuntil6(s65) | (~until5(s65))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9683, 36, 15887])).
% 8.96/6.40 tff(15889,plain,
% 8.96/6.40 (xuntil6(s65)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15888, 15886])).
% 8.96/6.40 tff(15890,plain,
% 8.96/6.40 ($false),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9689, 15889, 15857])).
% 8.96/6.40 tff(15891,plain,(always3(s72) | (~until5(s59)) | xuntil6(s72)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.40 tff(15892,plain,
% 8.96/6.40 (always3(s72)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15891, 15823, 14953])).
% 8.96/6.40 tff(15893,plain,
% 8.96/6.40 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s72)) | (~m_main_v_state(s72, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s72)) | (~m_main_v_state(s72, c_busy)))),
% 8.96/6.40 inference(rewrite,[status(thm)],[])).
% 8.96/6.40 tff(15894,plain,
% 8.96/6.40 (((~m_main_v_state(s72, c_busy)) | (~always3(s72))) <=> ((~always3(s72)) | (~m_main_v_state(s72, c_busy)))),
% 8.96/6.40 inference(rewrite,[status(thm)],[])).
% 8.96/6.40 tff(15895,plain,
% 8.96/6.40 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s72, c_busy)) | (~always3(s72)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s72)) | (~m_main_v_state(s72, c_busy))))),
% 8.96/6.40 inference(monotonicity,[status(thm)],[15894])).
% 8.96/6.40 tff(15896,plain,
% 8.96/6.40 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s72, c_busy)) | (~always3(s72)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s72)) | (~m_main_v_state(s72, c_busy)))),
% 8.96/6.40 inference(transitivity,[status(thm)],[15895, 15893])).
% 8.96/6.40 tff(15897,plain,
% 8.96/6.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s72, c_busy)) | (~always3(s72)))),
% 8.96/6.40 inference(quant_inst,[status(thm)],[])).
% 8.96/6.40 tff(15898,plain,
% 8.96/6.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s72)) | (~m_main_v_state(s72, c_busy))),
% 8.96/6.40 inference(modus_ponens,[status(thm)],[15897, 15896])).
% 8.96/6.40 tff(15899,plain,
% 8.96/6.40 (~m_main_v_state(s72, c_busy)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15898, 170, 15892])).
% 8.96/6.40 tff(15900,assumption,(~m_main_v_state(s72, c_busy)), introduced(assumption)).
% 8.96/6.40 tff(15901,assumption,(node4(s71)), introduced(assumption)).
% 8.96/6.40 tff(15902,plain,
% 8.96/6.40 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s71) | (~node4(s71)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s71) | (~node4(s71)))),
% 8.96/6.40 inference(rewrite,[status(thm)],[])).
% 8.96/6.40 tff(15903,plain,
% 8.96/6.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s71) | (~node4(s71)))),
% 8.96/6.40 inference(quant_inst,[status(thm)],[])).
% 8.96/6.40 tff(15904,plain,
% 8.96/6.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s71) | (~node4(s71))),
% 8.96/6.40 inference(modus_ponens,[status(thm)],[15903, 15902])).
% 8.96/6.40 tff(15905,plain,
% 8.96/6.40 (m_main_v_request(s71)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15904, 154, 15901])).
% 8.96/6.40 tff(15906,plain,
% 8.96/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s71, s72)) | node2(s71, s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s71, s72)) | node2(s71, s72))),
% 8.96/6.40 inference(rewrite,[status(thm)],[])).
% 8.96/6.40 tff(15907,plain,
% 8.96/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s71, s72)) | node2(s71, s72))),
% 8.96/6.40 inference(quant_inst,[status(thm)],[])).
% 8.96/6.40 tff(15908,plain,
% 8.96/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s71, s72)) | node2(s71, s72)),
% 8.96/6.40 inference(modus_ponens,[status(thm)],[15907, 15906])).
% 8.96/6.40 tff(15909,plain,
% 8.96/6.40 (node2(s71, s72)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15908, 7, 9394])).
% 8.96/6.40 tff(15910,plain,
% 8.96/6.40 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s71, c_ready)) | (~node2(s71, s72)) | m_main_v_state(s72, c_busy) | (~m_main_v_request(s71)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s71, c_ready)) | (~node2(s71, s72)) | m_main_v_state(s72, c_busy) | (~m_main_v_request(s71)))),
% 8.96/6.40 inference(rewrite,[status(thm)],[])).
% 8.96/6.40 tff(15911,plain,
% 8.96/6.40 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s71, c_ready)) | (~node2(s71, s72)) | m_main_v_state(s72, c_busy) | (~m_main_v_request(s71)))),
% 8.96/6.40 inference(quant_inst,[status(thm)],[])).
% 8.96/6.40 tff(15912,plain,
% 8.96/6.40 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s71, c_ready)) | (~node2(s71, s72)) | m_main_v_state(s72, c_busy) | (~m_main_v_request(s71))),
% 8.96/6.40 inference(modus_ponens,[status(thm)],[15911, 15910])).
% 8.96/6.40 tff(15913,plain,
% 8.96/6.40 ((~m_main_v_state(s71, c_ready)) | m_main_v_state(s72, c_busy) | (~m_main_v_request(s71))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15912, 191, 15909])).
% 8.96/6.40 tff(15914,plain,
% 8.96/6.40 (~m_main_v_state(s71, c_ready)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15913, 15905, 15900])).
% 8.96/6.40 tff(15915,plain,
% 8.96/6.40 (always3(s71)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9778, 22, 15901])).
% 8.96/6.40 tff(15916,plain,
% 8.96/6.40 (((~![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)))),
% 8.96/6.40 inference(rewrite,[status(thm)],[])).
% 8.96/6.40 tff(15917,plain,
% 8.96/6.40 (((~m_main_v_state(s71, c_busy)) | (~always3(s71))) <=> ((~always3(s71)) | (~m_main_v_state(s71, c_busy)))),
% 8.96/6.40 inference(rewrite,[status(thm)],[])).
% 8.96/6.40 tff(15918,plain,
% 8.96/6.40 (((~![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))))),
% 8.96/6.40 inference(monotonicity,[status(thm)],[15917])).
% 8.96/6.40 tff(15919,plain,
% 8.96/6.40 (((~![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)))),
% 8.96/6.40 inference(transitivity,[status(thm)],[15918, 15916])).
% 8.96/6.40 tff(15920,plain,
% 8.96/6.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s71, c_busy)) | (~always3(s71)))),
% 8.96/6.40 inference(quant_inst,[status(thm)],[])).
% 8.96/6.40 tff(15921,plain,
% 8.96/6.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s71)) | (~m_main_v_state(s71, c_busy))),
% 8.96/6.40 inference(modus_ponens,[status(thm)],[15920, 15919])).
% 8.96/6.40 tff(15922,plain,
% 8.96/6.40 (~m_main_v_state(s71, c_busy)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15921, 170, 15915])).
% 8.96/6.40 tff(15923,plain,
% 8.96/6.40 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s71, c_busy) | m_main_v_state(s71, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s71, c_busy) | m_main_v_state(s71, c_ready))),
% 8.96/6.40 inference(rewrite,[status(thm)],[])).
% 8.96/6.40 tff(15924,plain,
% 8.96/6.40 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s71, c_busy) | m_main_v_state(s71, c_ready))),
% 8.96/6.40 inference(quant_inst,[status(thm)],[])).
% 8.96/6.40 tff(15925,plain,
% 8.96/6.40 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s71, c_busy) | m_main_v_state(s71, c_ready)),
% 8.96/6.40 inference(modus_ponens,[status(thm)],[15924, 15923])).
% 8.96/6.40 tff(15926,plain,
% 8.96/6.40 ($false),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15925, 213, 15922, 15914])).
% 8.96/6.40 tff(15927,plain,((~node4(s71)) | m_main_v_state(s72, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.40 tff(15928,plain,
% 8.96/6.40 (~node4(s71)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15927, 15899])).
% 8.96/6.40 tff(15929,plain,
% 8.96/6.40 (always3(s73)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9386, 15892])).
% 8.96/6.40 tff(15930,plain,
% 8.96/6.40 (~m_main_v_state(s73, c_busy)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15792, 170, 15929])).
% 8.96/6.40 tff(15931,plain,
% 8.96/6.40 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s72, c_busy) | m_main_v_state(s72, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s72, c_busy) | m_main_v_state(s72, c_ready))),
% 8.96/6.40 inference(rewrite,[status(thm)],[])).
% 8.96/6.40 tff(15932,plain,
% 8.96/6.40 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s72, c_busy) | m_main_v_state(s72, c_ready))),
% 8.96/6.40 inference(quant_inst,[status(thm)],[])).
% 8.96/6.40 tff(15933,plain,
% 8.96/6.40 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s72, c_busy) | m_main_v_state(s72, c_ready)),
% 8.96/6.40 inference(modus_ponens,[status(thm)],[15932, 15931])).
% 8.96/6.40 tff(15934,plain,
% 8.96/6.40 (m_main_v_state(s72, c_ready)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15933, 213, 15899])).
% 8.96/6.40 tff(15935,plain,
% 8.96/6.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s72, s73)) | node2(s72, s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s72, s73)) | node2(s72, s73))),
% 8.96/6.40 inference(rewrite,[status(thm)],[])).
% 8.96/6.40 tff(15936,plain,
% 8.96/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s72, s73)) | node2(s72, s73))),
% 8.96/6.40 inference(quant_inst,[status(thm)],[])).
% 8.96/6.40 tff(15937,plain,
% 8.96/6.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s72, s73)) | node2(s72, s73)),
% 8.96/6.40 inference(modus_ponens,[status(thm)],[15936, 15935])).
% 8.96/6.40 tff(15938,plain,
% 8.96/6.40 (node2(s72, s73)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15937, 7, 9382])).
% 8.96/6.40 tff(15939,plain,
% 8.96/6.40 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s72, c_ready)) | (~node2(s72, s73)) | m_main_v_state(s73, c_busy) | (~m_main_v_request(s72)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s72, c_ready)) | (~node2(s72, s73)) | m_main_v_state(s73, c_busy) | (~m_main_v_request(s72)))),
% 8.96/6.40 inference(rewrite,[status(thm)],[])).
% 8.96/6.40 tff(15940,plain,
% 8.96/6.40 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s72, c_ready)) | (~node2(s72, s73)) | m_main_v_state(s73, c_busy) | (~m_main_v_request(s72)))),
% 8.96/6.40 inference(quant_inst,[status(thm)],[])).
% 8.96/6.40 tff(15941,plain,
% 8.96/6.40 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s72, c_ready)) | (~node2(s72, s73)) | m_main_v_state(s73, c_busy) | (~m_main_v_request(s72))),
% 8.96/6.40 inference(modus_ponens,[status(thm)],[15940, 15939])).
% 8.96/6.40 tff(15942,plain,
% 8.96/6.40 ((~m_main_v_state(s72, c_ready)) | m_main_v_state(s73, c_busy) | (~m_main_v_request(s72))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15941, 191, 15938])).
% 8.96/6.40 tff(15943,plain,
% 8.96/6.40 (~m_main_v_request(s72)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15942, 15934, 15930])).
% 8.96/6.40 tff(15944,plain,
% 8.96/6.40 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s72) | (~node4(s72)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s72) | (~node4(s72)))),
% 8.96/6.40 inference(rewrite,[status(thm)],[])).
% 8.96/6.40 tff(15945,plain,
% 8.96/6.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s72) | (~node4(s72)))),
% 8.96/6.40 inference(quant_inst,[status(thm)],[])).
% 8.96/6.40 tff(15946,plain,
% 8.96/6.40 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s72) | (~node4(s72))),
% 8.96/6.40 inference(modus_ponens,[status(thm)],[15945, 15944])).
% 8.96/6.40 tff(15947,plain,
% 8.96/6.40 (~node4(s72)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15946, 154, 15943])).
% 8.96/6.40 tff(15948,plain,
% 8.96/6.40 (node4(s72) | (~until5(s72))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9802, 36, 15823])).
% 8.96/6.40 tff(15949,plain,
% 8.96/6.40 (~until5(s72)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15948, 15947])).
% 8.96/6.40 tff(15950,plain,
% 8.96/6.40 (~xuntil6(s71)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9791, 15949])).
% 8.96/6.40 tff(15951,plain,
% 8.96/6.40 (~until5(s71)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9785, 36, 15950, 15928])).
% 8.96/6.40 tff(15952,plain,
% 8.96/6.40 (~xuntil6(s70)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9774, 15951])).
% 8.96/6.40 tff(15953,assumption,(~always3(s70)), introduced(assumption)).
% 8.96/6.40 tff(15954,plain,
% 8.96/6.40 (~always3(s69)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9422, 15953])).
% 8.96/6.40 tff(15955,plain,
% 8.96/6.40 (~node4(s69)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9744, 22, 15954])).
% 8.96/6.40 tff(15956,plain,
% 8.96/6.40 (~node4(s70)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9761, 22, 15953])).
% 8.96/6.40 tff(15957,assumption,(~xuntil6(s70)), introduced(assumption)).
% 8.96/6.40 tff(15958,plain,
% 8.96/6.40 (node4(s70) | (~until5(s70))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9768, 36, 15957])).
% 8.96/6.40 tff(15959,plain,
% 8.96/6.40 (~until5(s70)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15958, 15956])).
% 8.96/6.40 tff(15960,plain,
% 8.96/6.40 (~xuntil6(s69)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9757, 15959])).
% 8.96/6.40 tff(15961,plain,
% 8.96/6.40 (~until5(s69)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9751, 36, 15960, 15955])).
% 8.96/6.40 tff(15962,plain,
% 8.96/6.40 (~xuntil6(s68)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9740, 15961])).
% 8.96/6.40 tff(15963,plain,
% 8.96/6.40 (~always3(s68)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9434, 15954])).
% 8.96/6.40 tff(15964,plain,
% 8.96/6.40 (~node4(s68)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9727, 22, 15963])).
% 8.96/6.40 tff(15965,plain,
% 8.96/6.40 (xuntil6(s68) | (~until5(s68))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9734, 36, 15964])).
% 8.96/6.40 tff(15966,plain,
% 8.96/6.40 (~until5(s68)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15965, 15962])).
% 8.96/6.40 tff(15967,plain,
% 8.96/6.40 (~xuntil6(s67)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9723, 15966])).
% 8.96/6.40 tff(15968,plain,
% 8.96/6.40 (~always3(s67)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9446, 15963])).
% 8.96/6.40 tff(15969,plain,
% 8.96/6.40 (~node4(s67)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9710, 22, 15968])).
% 8.96/6.40 tff(15970,plain,
% 8.96/6.40 (xuntil6(s67) | (~until5(s67))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9717, 36, 15969])).
% 8.96/6.40 tff(15971,plain,
% 8.96/6.40 (~until5(s67)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15970, 15967])).
% 8.96/6.40 tff(15972,plain,
% 8.96/6.40 (~xuntil6(s66)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9706, 15971])).
% 8.96/6.40 tff(15973,plain,
% 8.96/6.40 (~always3(s66)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9458, 15968])).
% 8.96/6.40 tff(15974,plain,
% 8.96/6.40 (~node4(s66)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9693, 22, 15973])).
% 8.96/6.40 tff(15975,plain,
% 8.96/6.40 (xuntil6(s66) | (~until5(s66))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9700, 36, 15974])).
% 8.96/6.40 tff(15976,plain,
% 8.96/6.40 (~until5(s66)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15975, 15972])).
% 8.96/6.40 tff(15977,plain,
% 8.96/6.40 (~xuntil6(s65)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9689, 15976])).
% 8.96/6.40 tff(15978,plain,
% 8.96/6.40 (~always3(s65)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9470, 15973])).
% 8.96/6.40 tff(15979,plain,
% 8.96/6.40 (~node4(s65)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9676, 22, 15978])).
% 8.96/6.40 tff(15980,plain,
% 8.96/6.40 (xuntil6(s65) | (~until5(s65))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9683, 36, 15979])).
% 8.96/6.40 tff(15981,plain,
% 8.96/6.40 (~until5(s65)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15980, 15977])).
% 8.96/6.40 tff(15982,plain,
% 8.96/6.40 (~always3(s64)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9482, 15978])).
% 8.96/6.40 tff(15983,plain,
% 8.96/6.40 (~always3(s63)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9494, 15982])).
% 8.96/6.40 tff(15984,plain,
% 8.96/6.40 (~always3(s62)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9506, 15983])).
% 8.96/6.40 tff(15985,plain,
% 8.96/6.40 (~always3(s61)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9518, 15984])).
% 8.96/6.40 tff(15986,plain,
% 8.96/6.40 (~always3(s60)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9530, 15985])).
% 8.96/6.40 tff(15987,plain,
% 8.96/6.40 (~node4(s60)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9591, 22, 15986])).
% 8.96/6.40 tff(15988,plain,
% 8.96/6.40 (~always3(s59)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9542, 15986])).
% 8.96/6.40 tff(15989,plain,
% 8.96/6.40 (~node4(s59)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9546, 22, 15988])).
% 8.96/6.40 tff(15990,plain,
% 8.96/6.40 (xuntil6(s59)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[14954, 15989])).
% 8.96/6.40 tff(15991,plain,
% 8.96/6.40 (until5(s60)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9587, 15990])).
% 8.96/6.40 tff(15992,plain,
% 8.96/6.40 (xuntil6(s60)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9598, 36, 15991, 15987])).
% 8.96/6.40 tff(15993,plain,
% 8.96/6.40 (until5(s61)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9604, 15992])).
% 8.96/6.40 tff(15994,plain,
% 8.96/6.40 (~node4(s61)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9608, 22, 15985])).
% 8.96/6.40 tff(15995,plain,
% 8.96/6.40 (xuntil6(s61) | (~until5(s61))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9615, 36, 15994])).
% 8.96/6.40 tff(15996,plain,
% 8.96/6.40 (xuntil6(s61)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15995, 15993])).
% 8.96/6.40 tff(15997,plain,
% 8.96/6.40 (until5(s62)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9621, 15996])).
% 8.96/6.40 tff(15998,plain,
% 8.96/6.40 (~node4(s62)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9625, 22, 15984])).
% 8.96/6.40 tff(15999,plain,
% 8.96/6.40 (xuntil6(s62) | (~until5(s62))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9632, 36, 15998])).
% 8.96/6.40 tff(16000,plain,
% 8.96/6.40 (xuntil6(s62)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[15999, 15997])).
% 8.96/6.40 tff(16001,plain,
% 8.96/6.40 (until5(s63)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9638, 16000])).
% 8.96/6.40 tff(16002,plain,
% 8.96/6.40 (~node4(s63)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9642, 22, 15983])).
% 8.96/6.40 tff(16003,plain,
% 8.96/6.40 (xuntil6(s63) | (~until5(s63))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9649, 36, 16002])).
% 8.96/6.40 tff(16004,plain,
% 8.96/6.40 (xuntil6(s63)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[16003, 16001])).
% 8.96/6.40 tff(16005,plain,
% 8.96/6.40 (until5(s64)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9655, 16004])).
% 8.96/6.40 tff(16006,plain,
% 8.96/6.40 (~node4(s64)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9659, 22, 15982])).
% 8.96/6.40 tff(16007,plain,
% 8.96/6.40 (xuntil6(s64) | (~until5(s64))),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9666, 36, 16006])).
% 8.96/6.40 tff(16008,plain,
% 8.96/6.40 (xuntil6(s64)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[16007, 16005])).
% 8.96/6.40 tff(16009,plain,
% 8.96/6.40 ($false),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[9672, 16008, 15981])).
% 8.96/6.40 tff(16010,plain,(always3(s70) | (~until5(s59)) | xuntil6(s70)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.40 tff(16011,plain,
% 8.96/6.40 (always3(s70)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[16010, 15952, 14953])).
% 8.96/6.40 tff(16012,plain,
% 8.96/6.40 (((~![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)))),
% 8.96/6.40 inference(rewrite,[status(thm)],[])).
% 8.96/6.40 tff(16013,plain,
% 8.96/6.40 (((~m_main_v_state(s70, c_busy)) | (~always3(s70))) <=> ((~always3(s70)) | (~m_main_v_state(s70, c_busy)))),
% 8.96/6.40 inference(rewrite,[status(thm)],[])).
% 8.96/6.40 tff(16014,plain,
% 8.96/6.40 (((~![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))))),
% 8.96/6.40 inference(monotonicity,[status(thm)],[16013])).
% 8.96/6.40 tff(16015,plain,
% 8.96/6.40 (((~![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)))),
% 8.96/6.40 inference(transitivity,[status(thm)],[16014, 16012])).
% 8.96/6.40 tff(16016,plain,
% 8.96/6.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s70, c_busy)) | (~always3(s70)))),
% 8.96/6.40 inference(quant_inst,[status(thm)],[])).
% 8.96/6.40 tff(16017,plain,
% 8.96/6.40 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s70)) | (~m_main_v_state(s70, c_busy))),
% 8.96/6.40 inference(modus_ponens,[status(thm)],[16016, 16015])).
% 8.96/6.40 tff(16018,plain,
% 8.96/6.40 (~m_main_v_state(s70, c_busy)),
% 8.96/6.40 inference(unit_resolution,[status(thm)],[16017, 170, 16011])).
% 8.96/6.40 tff(16019,assumption,(~m_main_v_state(s70, c_busy)), introduced(assumption)).
% 8.96/6.41 tff(16020,assumption,(node4(s69)), introduced(assumption)).
% 8.96/6.41 tff(16021,plain,
% 8.96/6.41 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s69) | (~node4(s69)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s69) | (~node4(s69)))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16022,plain,
% 8.96/6.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s69) | (~node4(s69)))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16023,plain,
% 8.96/6.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s69) | (~node4(s69))),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16022, 16021])).
% 8.96/6.41 tff(16024,plain,
% 8.96/6.41 (m_main_v_request(s69)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16023, 154, 16020])).
% 8.96/6.41 tff(16025,plain,
% 8.96/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s69, s70)) | node2(s69, s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s69, s70)) | node2(s69, s70))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16026,plain,
% 8.96/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s69, s70)) | node2(s69, s70))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16027,plain,
% 8.96/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s69, s70)) | node2(s69, s70)),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16026, 16025])).
% 8.96/6.41 tff(16028,plain,
% 8.96/6.41 (node2(s69, s70)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16027, 7, 9418])).
% 8.96/6.41 tff(16029,plain,
% 8.96/6.41 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s69, c_ready)) | (~node2(s69, s70)) | m_main_v_state(s70, c_busy) | (~m_main_v_request(s69)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s69, c_ready)) | (~node2(s69, s70)) | m_main_v_state(s70, c_busy) | (~m_main_v_request(s69)))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16030,plain,
% 8.96/6.41 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s69, c_ready)) | (~node2(s69, s70)) | m_main_v_state(s70, c_busy) | (~m_main_v_request(s69)))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16031,plain,
% 8.96/6.41 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s69, c_ready)) | (~node2(s69, s70)) | m_main_v_state(s70, c_busy) | (~m_main_v_request(s69))),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16030, 16029])).
% 8.96/6.41 tff(16032,plain,
% 8.96/6.41 ((~m_main_v_state(s69, c_ready)) | m_main_v_state(s70, c_busy) | (~m_main_v_request(s69))),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16031, 191, 16028])).
% 8.96/6.41 tff(16033,plain,
% 8.96/6.41 (~m_main_v_state(s69, c_ready)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16032, 16024, 16019])).
% 8.96/6.41 tff(16034,plain,
% 8.96/6.41 (always3(s69)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9744, 22, 16020])).
% 8.96/6.41 tff(16035,plain,
% 8.96/6.41 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s69)) | (~m_main_v_state(s69, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s69)) | (~m_main_v_state(s69, c_busy)))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16036,plain,
% 8.96/6.41 (((~m_main_v_state(s69, c_busy)) | (~always3(s69))) <=> ((~always3(s69)) | (~m_main_v_state(s69, c_busy)))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16037,plain,
% 8.96/6.41 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s69, c_busy)) | (~always3(s69)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s69)) | (~m_main_v_state(s69, c_busy))))),
% 8.96/6.41 inference(monotonicity,[status(thm)],[16036])).
% 8.96/6.41 tff(16038,plain,
% 8.96/6.41 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s69, c_busy)) | (~always3(s69)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s69)) | (~m_main_v_state(s69, c_busy)))),
% 8.96/6.41 inference(transitivity,[status(thm)],[16037, 16035])).
% 8.96/6.41 tff(16039,plain,
% 8.96/6.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s69, c_busy)) | (~always3(s69)))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16040,plain,
% 8.96/6.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s69)) | (~m_main_v_state(s69, c_busy))),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16039, 16038])).
% 8.96/6.41 tff(16041,plain,
% 8.96/6.41 (~m_main_v_state(s69, c_busy)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16040, 170, 16034])).
% 8.96/6.41 tff(16042,plain,
% 8.96/6.41 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s69, c_busy) | m_main_v_state(s69, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s69, c_busy) | m_main_v_state(s69, c_ready))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16043,plain,
% 8.96/6.41 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s69, c_busy) | m_main_v_state(s69, c_ready))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16044,plain,
% 8.96/6.41 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s69, c_busy) | m_main_v_state(s69, c_ready)),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16043, 16042])).
% 8.96/6.41 tff(16045,plain,
% 8.96/6.41 ($false),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16044, 213, 16041, 16033])).
% 8.96/6.41 tff(16046,plain,((~node4(s69)) | m_main_v_state(s70, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.41 tff(16047,plain,
% 8.96/6.41 (~node4(s69)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16046, 16018])).
% 8.96/6.41 tff(16048,plain,
% 8.96/6.41 (always3(s71)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9410, 16011])).
% 8.96/6.41 tff(16049,plain,
% 8.96/6.41 (~m_main_v_state(s71, c_busy)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[15921, 170, 16048])).
% 8.96/6.41 tff(16050,plain,
% 8.96/6.41 (((~![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))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16051,plain,
% 8.96/6.41 ((~![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))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16052,plain,
% 8.96/6.41 ((~![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)),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16051, 16050])).
% 8.96/6.41 tff(16053,plain,
% 8.96/6.41 (m_main_v_state(s70, c_ready)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16052, 213, 16018])).
% 8.96/6.41 tff(16054,plain,
% 8.96/6.41 (((~![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))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16055,plain,
% 8.96/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s70, s71)) | node2(s70, s71))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16056,plain,
% 8.96/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s70, s71)) | node2(s70, s71)),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16055, 16054])).
% 8.96/6.41 tff(16057,plain,
% 8.96/6.41 (node2(s70, s71)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16056, 7, 9406])).
% 8.96/6.41 tff(16058,plain,
% 8.96/6.41 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16059,plain,
% 8.96/6.41 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16060,plain,
% 8.96/6.41 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16059, 16058])).
% 8.96/6.41 tff(16061,plain,
% 8.96/6.41 ((~m_main_v_state(s70, c_ready)) | m_main_v_state(s71, c_busy) | (~m_main_v_request(s70))),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16060, 191, 16057])).
% 8.96/6.41 tff(16062,plain,
% 8.96/6.41 (~m_main_v_request(s70)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16061, 16053, 16049])).
% 8.96/6.41 tff(16063,plain,
% 8.96/6.41 (((~![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)))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16064,plain,
% 8.96/6.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s70) | (~node4(s70)))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16065,plain,
% 8.96/6.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s70) | (~node4(s70))),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16064, 16063])).
% 8.96/6.41 tff(16066,plain,
% 8.96/6.41 (~node4(s70)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16065, 154, 16062])).
% 8.96/6.41 tff(16067,plain,
% 8.96/6.41 (node4(s70) | (~until5(s70))),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9768, 36, 15952])).
% 8.96/6.41 tff(16068,plain,
% 8.96/6.41 (~until5(s70)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16067, 16066])).
% 8.96/6.41 tff(16069,plain,
% 8.96/6.41 (~xuntil6(s69)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9757, 16068])).
% 8.96/6.41 tff(16070,plain,
% 8.96/6.41 (~until5(s69)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9751, 36, 16069, 16047])).
% 8.96/6.41 tff(16071,plain,
% 8.96/6.41 (~xuntil6(s68)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9740, 16070])).
% 8.96/6.41 tff(16072,assumption,(~always3(s68)), introduced(assumption)).
% 8.96/6.41 tff(16073,plain,
% 8.96/6.41 (~always3(s67)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9446, 16072])).
% 8.96/6.41 tff(16074,plain,
% 8.96/6.41 (~node4(s67)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9710, 22, 16073])).
% 8.96/6.41 tff(16075,plain,
% 8.96/6.41 (~node4(s68)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9727, 22, 16072])).
% 8.96/6.41 tff(16076,assumption,(~xuntil6(s68)), introduced(assumption)).
% 8.96/6.41 tff(16077,plain,
% 8.96/6.41 (node4(s68) | (~until5(s68))),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9734, 36, 16076])).
% 8.96/6.41 tff(16078,plain,
% 8.96/6.41 (~until5(s68)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16077, 16075])).
% 8.96/6.41 tff(16079,plain,
% 8.96/6.41 (~xuntil6(s67)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9723, 16078])).
% 8.96/6.41 tff(16080,plain,
% 8.96/6.41 (~until5(s67)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9717, 36, 16079, 16074])).
% 8.96/6.41 tff(16081,plain,
% 8.96/6.41 (~xuntil6(s66)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9706, 16080])).
% 8.96/6.41 tff(16082,plain,
% 8.96/6.41 (~always3(s66)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9458, 16073])).
% 8.96/6.41 tff(16083,plain,
% 8.96/6.41 (~node4(s66)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9693, 22, 16082])).
% 8.96/6.41 tff(16084,plain,
% 8.96/6.41 (xuntil6(s66) | (~until5(s66))),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9700, 36, 16083])).
% 8.96/6.41 tff(16085,plain,
% 8.96/6.41 (~until5(s66)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16084, 16081])).
% 8.96/6.41 tff(16086,plain,
% 8.96/6.41 (~xuntil6(s65)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9689, 16085])).
% 8.96/6.41 tff(16087,plain,
% 8.96/6.41 (~always3(s65)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9470, 16082])).
% 8.96/6.41 tff(16088,plain,
% 8.96/6.41 (~node4(s65)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9676, 22, 16087])).
% 8.96/6.41 tff(16089,plain,
% 8.96/6.41 (xuntil6(s65) | (~until5(s65))),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9683, 36, 16088])).
% 8.96/6.41 tff(16090,plain,
% 8.96/6.41 (~until5(s65)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16089, 16086])).
% 8.96/6.41 tff(16091,plain,
% 8.96/6.41 (~xuntil6(s64)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9672, 16090])).
% 8.96/6.41 tff(16092,plain,
% 8.96/6.41 (~always3(s64)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9482, 16087])).
% 8.96/6.41 tff(16093,plain,
% 8.96/6.41 (~node4(s64)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9659, 22, 16092])).
% 8.96/6.41 tff(16094,plain,
% 8.96/6.41 (xuntil6(s64) | (~until5(s64))),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9666, 36, 16093])).
% 8.96/6.41 tff(16095,plain,
% 8.96/6.41 (~until5(s64)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16094, 16091])).
% 8.96/6.41 tff(16096,plain,
% 8.96/6.41 (~always3(s63)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9494, 16092])).
% 8.96/6.41 tff(16097,plain,
% 8.96/6.41 (~always3(s62)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9506, 16096])).
% 8.96/6.41 tff(16098,plain,
% 8.96/6.41 (~always3(s61)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9518, 16097])).
% 8.96/6.41 tff(16099,plain,
% 8.96/6.41 (~always3(s60)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9530, 16098])).
% 8.96/6.41 tff(16100,plain,
% 8.96/6.41 (~node4(s60)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9591, 22, 16099])).
% 8.96/6.41 tff(16101,plain,
% 8.96/6.41 (~always3(s59)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9542, 16099])).
% 8.96/6.41 tff(16102,plain,
% 8.96/6.41 (~node4(s59)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9546, 22, 16101])).
% 8.96/6.41 tff(16103,plain,
% 8.96/6.41 (xuntil6(s59)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[14954, 16102])).
% 8.96/6.41 tff(16104,plain,
% 8.96/6.41 (until5(s60)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9587, 16103])).
% 8.96/6.41 tff(16105,plain,
% 8.96/6.41 (xuntil6(s60)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9598, 36, 16104, 16100])).
% 8.96/6.41 tff(16106,plain,
% 8.96/6.41 (until5(s61)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9604, 16105])).
% 8.96/6.41 tff(16107,plain,
% 8.96/6.41 (~node4(s61)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9608, 22, 16098])).
% 8.96/6.41 tff(16108,plain,
% 8.96/6.41 (xuntil6(s61) | (~until5(s61))),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9615, 36, 16107])).
% 8.96/6.41 tff(16109,plain,
% 8.96/6.41 (xuntil6(s61)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16108, 16106])).
% 8.96/6.41 tff(16110,plain,
% 8.96/6.41 (until5(s62)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9621, 16109])).
% 8.96/6.41 tff(16111,plain,
% 8.96/6.41 (~node4(s62)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9625, 22, 16097])).
% 8.96/6.41 tff(16112,plain,
% 8.96/6.41 (xuntil6(s62) | (~until5(s62))),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9632, 36, 16111])).
% 8.96/6.41 tff(16113,plain,
% 8.96/6.41 (xuntil6(s62)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16112, 16110])).
% 8.96/6.41 tff(16114,plain,
% 8.96/6.41 (until5(s63)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9638, 16113])).
% 8.96/6.41 tff(16115,plain,
% 8.96/6.41 (~node4(s63)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9642, 22, 16096])).
% 8.96/6.41 tff(16116,plain,
% 8.96/6.41 (xuntil6(s63) | (~until5(s63))),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9649, 36, 16115])).
% 8.96/6.41 tff(16117,plain,
% 8.96/6.41 (xuntil6(s63)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16116, 16114])).
% 8.96/6.41 tff(16118,plain,
% 8.96/6.41 ($false),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9655, 16117, 16095])).
% 8.96/6.41 tff(16119,plain,(always3(s68) | (~until5(s59)) | xuntil6(s68)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.41 tff(16120,plain,
% 8.96/6.41 (always3(s68)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16119, 16071, 14953])).
% 8.96/6.41 tff(16121,plain,
% 8.96/6.41 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s68)) | (~m_main_v_state(s68, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s68)) | (~m_main_v_state(s68, c_busy)))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16122,plain,
% 8.96/6.41 (((~m_main_v_state(s68, c_busy)) | (~always3(s68))) <=> ((~always3(s68)) | (~m_main_v_state(s68, c_busy)))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16123,plain,
% 8.96/6.41 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s68, c_busy)) | (~always3(s68)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s68)) | (~m_main_v_state(s68, c_busy))))),
% 8.96/6.41 inference(monotonicity,[status(thm)],[16122])).
% 8.96/6.41 tff(16124,plain,
% 8.96/6.41 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s68, c_busy)) | (~always3(s68)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s68)) | (~m_main_v_state(s68, c_busy)))),
% 8.96/6.41 inference(transitivity,[status(thm)],[16123, 16121])).
% 8.96/6.41 tff(16125,plain,
% 8.96/6.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s68, c_busy)) | (~always3(s68)))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16126,plain,
% 8.96/6.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s68)) | (~m_main_v_state(s68, c_busy))),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16125, 16124])).
% 8.96/6.41 tff(16127,plain,
% 8.96/6.41 (~m_main_v_state(s68, c_busy)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16126, 170, 16120])).
% 8.96/6.41 tff(16128,assumption,(~m_main_v_state(s68, c_busy)), introduced(assumption)).
% 8.96/6.41 tff(16129,assumption,(node4(s67)), introduced(assumption)).
% 8.96/6.41 tff(16130,plain,
% 8.96/6.41 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s67) | (~node4(s67)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s67) | (~node4(s67)))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16131,plain,
% 8.96/6.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s67) | (~node4(s67)))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16132,plain,
% 8.96/6.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s67) | (~node4(s67))),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16131, 16130])).
% 8.96/6.41 tff(16133,plain,
% 8.96/6.41 (m_main_v_request(s67)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16132, 154, 16129])).
% 8.96/6.41 tff(16134,plain,
% 8.96/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s67, s68)) | node2(s67, s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s67, s68)) | node2(s67, s68))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16135,plain,
% 8.96/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s67, s68)) | node2(s67, s68))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16136,plain,
% 8.96/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s67, s68)) | node2(s67, s68)),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16135, 16134])).
% 8.96/6.41 tff(16137,plain,
% 8.96/6.41 (node2(s67, s68)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16136, 7, 9442])).
% 8.96/6.41 tff(16138,plain,
% 8.96/6.41 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s67, c_ready)) | (~node2(s67, s68)) | m_main_v_state(s68, c_busy) | (~m_main_v_request(s67)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s67, c_ready)) | (~node2(s67, s68)) | m_main_v_state(s68, c_busy) | (~m_main_v_request(s67)))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16139,plain,
% 8.96/6.41 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s67, c_ready)) | (~node2(s67, s68)) | m_main_v_state(s68, c_busy) | (~m_main_v_request(s67)))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16140,plain,
% 8.96/6.41 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s67, c_ready)) | (~node2(s67, s68)) | m_main_v_state(s68, c_busy) | (~m_main_v_request(s67))),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16139, 16138])).
% 8.96/6.41 tff(16141,plain,
% 8.96/6.41 ((~m_main_v_state(s67, c_ready)) | m_main_v_state(s68, c_busy) | (~m_main_v_request(s67))),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16140, 191, 16137])).
% 8.96/6.41 tff(16142,plain,
% 8.96/6.41 (~m_main_v_state(s67, c_ready)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16141, 16133, 16128])).
% 8.96/6.41 tff(16143,plain,
% 8.96/6.41 (always3(s67)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9710, 22, 16129])).
% 8.96/6.41 tff(16144,plain,
% 8.96/6.41 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s67)) | (~m_main_v_state(s67, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s67)) | (~m_main_v_state(s67, c_busy)))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16145,plain,
% 8.96/6.41 (((~m_main_v_state(s67, c_busy)) | (~always3(s67))) <=> ((~always3(s67)) | (~m_main_v_state(s67, c_busy)))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16146,plain,
% 8.96/6.41 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s67, c_busy)) | (~always3(s67)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s67)) | (~m_main_v_state(s67, c_busy))))),
% 8.96/6.41 inference(monotonicity,[status(thm)],[16145])).
% 8.96/6.41 tff(16147,plain,
% 8.96/6.41 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s67, c_busy)) | (~always3(s67)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s67)) | (~m_main_v_state(s67, c_busy)))),
% 8.96/6.41 inference(transitivity,[status(thm)],[16146, 16144])).
% 8.96/6.41 tff(16148,plain,
% 8.96/6.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s67, c_busy)) | (~always3(s67)))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16149,plain,
% 8.96/6.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s67)) | (~m_main_v_state(s67, c_busy))),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16148, 16147])).
% 8.96/6.41 tff(16150,plain,
% 8.96/6.41 (~m_main_v_state(s67, c_busy)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16149, 170, 16143])).
% 8.96/6.41 tff(16151,plain,
% 8.96/6.41 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s67, c_busy) | m_main_v_state(s67, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s67, c_busy) | m_main_v_state(s67, c_ready))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16152,plain,
% 8.96/6.41 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s67, c_busy) | m_main_v_state(s67, c_ready))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16153,plain,
% 8.96/6.41 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s67, c_busy) | m_main_v_state(s67, c_ready)),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16152, 16151])).
% 8.96/6.41 tff(16154,plain,
% 8.96/6.41 ($false),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16153, 213, 16150, 16142])).
% 8.96/6.41 tff(16155,plain,((~node4(s67)) | m_main_v_state(s68, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.41 tff(16156,plain,
% 8.96/6.41 (~node4(s67)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16155, 16127])).
% 8.96/6.41 tff(16157,plain,
% 8.96/6.41 (always3(s69)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9434, 16120])).
% 8.96/6.41 tff(16158,plain,
% 8.96/6.41 (~m_main_v_state(s69, c_busy)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16040, 170, 16157])).
% 8.96/6.41 tff(16159,plain,
% 8.96/6.41 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s68, c_busy) | m_main_v_state(s68, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s68, c_busy) | m_main_v_state(s68, c_ready))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16160,plain,
% 8.96/6.41 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s68, c_busy) | m_main_v_state(s68, c_ready))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16161,plain,
% 8.96/6.41 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s68, c_busy) | m_main_v_state(s68, c_ready)),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16160, 16159])).
% 8.96/6.41 tff(16162,plain,
% 8.96/6.41 (m_main_v_state(s68, c_ready)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16161, 213, 16127])).
% 8.96/6.41 tff(16163,plain,
% 8.96/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s68, s69)) | node2(s68, s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s68, s69)) | node2(s68, s69))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16164,plain,
% 8.96/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s68, s69)) | node2(s68, s69))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16165,plain,
% 8.96/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s68, s69)) | node2(s68, s69)),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16164, 16163])).
% 8.96/6.41 tff(16166,plain,
% 8.96/6.41 (node2(s68, s69)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16165, 7, 9430])).
% 8.96/6.41 tff(16167,plain,
% 8.96/6.41 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s68, c_ready)) | (~node2(s68, s69)) | m_main_v_state(s69, c_busy) | (~m_main_v_request(s68)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s68, c_ready)) | (~node2(s68, s69)) | m_main_v_state(s69, c_busy) | (~m_main_v_request(s68)))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16168,plain,
% 8.96/6.41 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s68, c_ready)) | (~node2(s68, s69)) | m_main_v_state(s69, c_busy) | (~m_main_v_request(s68)))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16169,plain,
% 8.96/6.41 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s68, c_ready)) | (~node2(s68, s69)) | m_main_v_state(s69, c_busy) | (~m_main_v_request(s68))),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16168, 16167])).
% 8.96/6.41 tff(16170,plain,
% 8.96/6.41 ((~m_main_v_state(s68, c_ready)) | m_main_v_state(s69, c_busy) | (~m_main_v_request(s68))),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16169, 191, 16166])).
% 8.96/6.41 tff(16171,plain,
% 8.96/6.41 (~m_main_v_request(s68)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16170, 16162, 16158])).
% 8.96/6.41 tff(16172,plain,
% 8.96/6.41 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s68) | (~node4(s68)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s68) | (~node4(s68)))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16173,plain,
% 8.96/6.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s68) | (~node4(s68)))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16174,plain,
% 8.96/6.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s68) | (~node4(s68))),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16173, 16172])).
% 8.96/6.41 tff(16175,plain,
% 8.96/6.41 (~node4(s68)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16174, 154, 16171])).
% 8.96/6.41 tff(16176,plain,
% 8.96/6.41 (node4(s68) | (~until5(s68))),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9734, 36, 16071])).
% 8.96/6.41 tff(16177,plain,
% 8.96/6.41 (~until5(s68)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16176, 16175])).
% 8.96/6.41 tff(16178,plain,
% 8.96/6.41 (~xuntil6(s67)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9723, 16177])).
% 8.96/6.41 tff(16179,plain,
% 8.96/6.41 (~until5(s67)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9717, 36, 16178, 16156])).
% 8.96/6.41 tff(16180,plain,
% 8.96/6.41 (~xuntil6(s66)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9706, 16179])).
% 8.96/6.41 tff(16181,assumption,(~always3(s66)), introduced(assumption)).
% 8.96/6.41 tff(16182,plain,
% 8.96/6.41 (~always3(s65)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9470, 16181])).
% 8.96/6.41 tff(16183,plain,
% 8.96/6.41 (~node4(s65)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9676, 22, 16182])).
% 8.96/6.41 tff(16184,plain,
% 8.96/6.41 (~node4(s66)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9693, 22, 16181])).
% 8.96/6.41 tff(16185,assumption,(~xuntil6(s66)), introduced(assumption)).
% 8.96/6.41 tff(16186,plain,
% 8.96/6.41 (node4(s66) | (~until5(s66))),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9700, 36, 16185])).
% 8.96/6.41 tff(16187,plain,
% 8.96/6.41 (~until5(s66)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16186, 16184])).
% 8.96/6.41 tff(16188,plain,
% 8.96/6.41 (~xuntil6(s65)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9689, 16187])).
% 8.96/6.41 tff(16189,plain,
% 8.96/6.41 (~until5(s65)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9683, 36, 16188, 16183])).
% 8.96/6.41 tff(16190,plain,
% 8.96/6.41 (~xuntil6(s64)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9672, 16189])).
% 8.96/6.41 tff(16191,plain,
% 8.96/6.41 (~always3(s64)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9482, 16182])).
% 8.96/6.41 tff(16192,plain,
% 8.96/6.41 (~node4(s64)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9659, 22, 16191])).
% 8.96/6.41 tff(16193,plain,
% 8.96/6.41 (xuntil6(s64) | (~until5(s64))),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9666, 36, 16192])).
% 8.96/6.41 tff(16194,plain,
% 8.96/6.41 (~until5(s64)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16193, 16190])).
% 8.96/6.41 tff(16195,plain,
% 8.96/6.41 (~xuntil6(s63)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9655, 16194])).
% 8.96/6.41 tff(16196,plain,
% 8.96/6.41 (~always3(s63)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9494, 16191])).
% 8.96/6.41 tff(16197,plain,
% 8.96/6.41 (~node4(s63)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9642, 22, 16196])).
% 8.96/6.41 tff(16198,plain,
% 8.96/6.41 (xuntil6(s63) | (~until5(s63))),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9649, 36, 16197])).
% 8.96/6.41 tff(16199,plain,
% 8.96/6.41 (~until5(s63)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16198, 16195])).
% 8.96/6.41 tff(16200,plain,
% 8.96/6.41 (~always3(s62)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9506, 16196])).
% 8.96/6.41 tff(16201,plain,
% 8.96/6.41 (~always3(s61)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9518, 16200])).
% 8.96/6.41 tff(16202,plain,
% 8.96/6.41 (~always3(s60)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9530, 16201])).
% 8.96/6.41 tff(16203,plain,
% 8.96/6.41 (~node4(s60)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9591, 22, 16202])).
% 8.96/6.41 tff(16204,plain,
% 8.96/6.41 (~always3(s59)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9542, 16202])).
% 8.96/6.41 tff(16205,plain,
% 8.96/6.41 (~node4(s59)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9546, 22, 16204])).
% 8.96/6.41 tff(16206,plain,
% 8.96/6.41 (xuntil6(s59)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[14954, 16205])).
% 8.96/6.41 tff(16207,plain,
% 8.96/6.41 (until5(s60)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9587, 16206])).
% 8.96/6.41 tff(16208,plain,
% 8.96/6.41 (xuntil6(s60)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9598, 36, 16207, 16203])).
% 8.96/6.41 tff(16209,plain,
% 8.96/6.41 (until5(s61)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9604, 16208])).
% 8.96/6.41 tff(16210,plain,
% 8.96/6.41 (~node4(s61)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9608, 22, 16201])).
% 8.96/6.41 tff(16211,plain,
% 8.96/6.41 (xuntil6(s61) | (~until5(s61))),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9615, 36, 16210])).
% 8.96/6.41 tff(16212,plain,
% 8.96/6.41 (xuntil6(s61)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16211, 16209])).
% 8.96/6.41 tff(16213,plain,
% 8.96/6.41 (until5(s62)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9621, 16212])).
% 8.96/6.41 tff(16214,plain,
% 8.96/6.41 (~node4(s62)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9625, 22, 16200])).
% 8.96/6.41 tff(16215,plain,
% 8.96/6.41 (xuntil6(s62) | (~until5(s62))),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9632, 36, 16214])).
% 8.96/6.41 tff(16216,plain,
% 8.96/6.41 (xuntil6(s62)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16215, 16213])).
% 8.96/6.41 tff(16217,plain,
% 8.96/6.41 ($false),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9638, 16216, 16199])).
% 8.96/6.41 tff(16218,plain,(always3(s66) | (~until5(s59)) | xuntil6(s66)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.41 tff(16219,plain,
% 8.96/6.41 (always3(s66)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16218, 16180, 14953])).
% 8.96/6.41 tff(16220,plain,
% 8.96/6.41 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s66)) | (~m_main_v_state(s66, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s66)) | (~m_main_v_state(s66, c_busy)))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16221,plain,
% 8.96/6.41 (((~m_main_v_state(s66, c_busy)) | (~always3(s66))) <=> ((~always3(s66)) | (~m_main_v_state(s66, c_busy)))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16222,plain,
% 8.96/6.41 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s66, c_busy)) | (~always3(s66)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s66)) | (~m_main_v_state(s66, c_busy))))),
% 8.96/6.41 inference(monotonicity,[status(thm)],[16221])).
% 8.96/6.41 tff(16223,plain,
% 8.96/6.41 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s66, c_busy)) | (~always3(s66)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s66)) | (~m_main_v_state(s66, c_busy)))),
% 8.96/6.41 inference(transitivity,[status(thm)],[16222, 16220])).
% 8.96/6.41 tff(16224,plain,
% 8.96/6.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s66, c_busy)) | (~always3(s66)))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16225,plain,
% 8.96/6.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s66)) | (~m_main_v_state(s66, c_busy))),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16224, 16223])).
% 8.96/6.41 tff(16226,plain,
% 8.96/6.41 (~m_main_v_state(s66, c_busy)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16225, 170, 16219])).
% 8.96/6.41 tff(16227,plain,
% 8.96/6.41 (always3(s67)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9458, 16219])).
% 8.96/6.41 tff(16228,plain,
% 8.96/6.41 (~m_main_v_state(s67, c_busy)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16149, 170, 16227])).
% 8.96/6.41 tff(16229,plain,
% 8.96/6.41 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s66, c_busy) | m_main_v_state(s66, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s66, c_busy) | m_main_v_state(s66, c_ready))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16230,plain,
% 8.96/6.41 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s66, c_busy) | m_main_v_state(s66, c_ready))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16231,plain,
% 8.96/6.41 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s66, c_busy) | m_main_v_state(s66, c_ready)),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16230, 16229])).
% 8.96/6.41 tff(16232,plain,
% 8.96/6.41 (m_main_v_state(s66, c_ready)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16231, 213, 16226])).
% 8.96/6.41 tff(16233,plain,
% 8.96/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s66, s67)) | node2(s66, s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s66, s67)) | node2(s66, s67))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16234,plain,
% 8.96/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s66, s67)) | node2(s66, s67))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16235,plain,
% 8.96/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s66, s67)) | node2(s66, s67)),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16234, 16233])).
% 8.96/6.41 tff(16236,plain,
% 8.96/6.41 (node2(s66, s67)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16235, 7, 9454])).
% 8.96/6.41 tff(16237,plain,
% 8.96/6.41 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s66, c_ready)) | (~node2(s66, s67)) | m_main_v_state(s67, c_busy) | (~m_main_v_request(s66)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s66, c_ready)) | (~node2(s66, s67)) | m_main_v_state(s67, c_busy) | (~m_main_v_request(s66)))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16238,plain,
% 8.96/6.41 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s66, c_ready)) | (~node2(s66, s67)) | m_main_v_state(s67, c_busy) | (~m_main_v_request(s66)))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16239,plain,
% 8.96/6.41 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s66, c_ready)) | (~node2(s66, s67)) | m_main_v_state(s67, c_busy) | (~m_main_v_request(s66))),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16238, 16237])).
% 8.96/6.41 tff(16240,plain,
% 8.96/6.41 ((~m_main_v_state(s66, c_ready)) | m_main_v_state(s67, c_busy) | (~m_main_v_request(s66))),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16239, 191, 16236])).
% 8.96/6.41 tff(16241,plain,
% 8.96/6.41 (~m_main_v_request(s66)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16240, 16232, 16228])).
% 8.96/6.41 tff(16242,plain,
% 8.96/6.41 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s66) | (~node4(s66)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s66) | (~node4(s66)))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16243,plain,
% 8.96/6.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s66) | (~node4(s66)))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16244,plain,
% 8.96/6.41 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s66) | (~node4(s66))),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16243, 16242])).
% 8.96/6.41 tff(16245,plain,
% 8.96/6.41 (~node4(s66)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16244, 154, 16241])).
% 8.96/6.41 tff(16246,plain,
% 8.96/6.41 (node4(s66) | (~until5(s66))),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9700, 36, 16180])).
% 8.96/6.41 tff(16247,plain,
% 8.96/6.41 (~until5(s66)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16246, 16245])).
% 8.96/6.41 tff(16248,plain,
% 8.96/6.41 (~xuntil6(s65)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9689, 16247])).
% 8.96/6.41 tff(16249,assumption,(~xuntil6(s65)), introduced(assumption)).
% 8.96/6.41 tff(16250,assumption,(until5(s64)), introduced(assumption)).
% 8.96/6.41 tff(16251,assumption,(~always3(s65)), introduced(assumption)).
% 8.96/6.41 tff(16252,plain,
% 8.96/6.41 (~always3(s64)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9482, 16251])).
% 8.96/6.41 tff(16253,plain,
% 8.96/6.41 (~node4(s64)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9659, 22, 16252])).
% 8.96/6.41 tff(16254,plain,
% 8.96/6.41 (xuntil6(s64) | node4(s64)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9666, 36, 16250])).
% 8.96/6.41 tff(16255,plain,
% 8.96/6.41 (xuntil6(s64)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16254, 16253])).
% 8.96/6.41 tff(16256,plain,
% 8.96/6.41 (until5(s65)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9672, 16255])).
% 8.96/6.41 tff(16257,plain,
% 8.96/6.41 (node4(s65) | (~until5(s65))),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9683, 36, 16249])).
% 8.96/6.41 tff(16258,plain,
% 8.96/6.41 (node4(s65)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16257, 16256])).
% 8.96/6.41 tff(16259,plain,
% 8.96/6.41 ($false),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[9676, 22, 16251, 16258])).
% 8.96/6.41 tff(16260,plain,(always3(s65) | xuntil6(s65) | (~until5(s64))), inference(lemma,lemma(discharge,[]))).
% 8.96/6.41 tff(16261,plain,
% 8.96/6.41 (always3(s65)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16260, 16250, 16249])).
% 8.96/6.41 tff(16262,plain,
% 8.96/6.41 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s65)) | (~m_main_v_state(s65, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s65)) | (~m_main_v_state(s65, c_busy)))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16263,plain,
% 8.96/6.41 (((~m_main_v_state(s65, c_busy)) | (~always3(s65))) <=> ((~always3(s65)) | (~m_main_v_state(s65, c_busy)))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16264,plain,
% 8.96/6.41 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s65, c_busy)) | (~always3(s65)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s65)) | (~m_main_v_state(s65, c_busy))))),
% 8.96/6.41 inference(monotonicity,[status(thm)],[16263])).
% 8.96/6.41 tff(16265,plain,
% 8.96/6.41 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s65, c_busy)) | (~always3(s65)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s65)) | (~m_main_v_state(s65, c_busy)))),
% 8.96/6.41 inference(transitivity,[status(thm)],[16264, 16262])).
% 8.96/6.41 tff(16266,plain,
% 8.96/6.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s65, c_busy)) | (~always3(s65)))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16267,plain,
% 8.96/6.41 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s65)) | (~m_main_v_state(s65, c_busy))),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16266, 16265])).
% 8.96/6.41 tff(16268,plain,
% 8.96/6.41 (~m_main_v_state(s65, c_busy)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16267, 170, 16261])).
% 8.96/6.41 tff(16269,assumption,(~m_main_v_state(s66, c_busy)), introduced(assumption)).
% 8.96/6.41 tff(16270,plain,
% 8.96/6.41 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s65, c_busy) | m_main_v_state(s65, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s65, c_busy) | m_main_v_state(s65, c_ready))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16271,plain,
% 8.96/6.41 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s65, c_busy) | m_main_v_state(s65, c_ready))),
% 8.96/6.41 inference(quant_inst,[status(thm)],[])).
% 8.96/6.41 tff(16272,plain,
% 8.96/6.41 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s65, c_busy) | m_main_v_state(s65, c_ready)),
% 8.96/6.41 inference(modus_ponens,[status(thm)],[16271, 16270])).
% 8.96/6.41 tff(16273,plain,
% 8.96/6.41 (m_main_v_state(s65, c_ready)),
% 8.96/6.41 inference(unit_resolution,[status(thm)],[16272, 213, 16268])).
% 8.96/6.41 tff(16274,plain,
% 8.96/6.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s65, s66)) | node2(s65, s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s65, s66)) | node2(s65, s66))),
% 8.96/6.41 inference(rewrite,[status(thm)],[])).
% 8.96/6.41 tff(16275,plain,
% 8.96/6.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s65, s66)) | node2(s65, s66))),
% 8.96/6.42 inference(quant_inst,[status(thm)],[])).
% 8.96/6.42 tff(16276,plain,
% 8.96/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s65, s66)) | node2(s65, s66)),
% 8.96/6.42 inference(modus_ponens,[status(thm)],[16275, 16274])).
% 8.96/6.42 tff(16277,plain,
% 8.96/6.42 (node2(s65, s66)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16276, 7, 9466])).
% 8.96/6.42 tff(16278,plain,
% 8.96/6.42 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s65, c_ready)) | (~node2(s65, s66)) | m_main_v_state(s66, c_busy) | (~m_main_v_request(s65)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s65, c_ready)) | (~node2(s65, s66)) | m_main_v_state(s66, c_busy) | (~m_main_v_request(s65)))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16279,plain,
% 8.96/6.42 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s65, c_ready)) | (~node2(s65, s66)) | m_main_v_state(s66, c_busy) | (~m_main_v_request(s65)))),
% 8.96/6.42 inference(quant_inst,[status(thm)],[])).
% 8.96/6.42 tff(16280,plain,
% 8.96/6.42 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s65, c_ready)) | (~node2(s65, s66)) | m_main_v_state(s66, c_busy) | (~m_main_v_request(s65))),
% 8.96/6.42 inference(modus_ponens,[status(thm)],[16279, 16278])).
% 8.96/6.42 tff(16281,plain,
% 8.96/6.42 ((~m_main_v_state(s65, c_ready)) | m_main_v_state(s66, c_busy) | (~m_main_v_request(s65))),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16280, 191, 16277])).
% 8.96/6.42 tff(16282,plain,
% 8.96/6.42 (~m_main_v_request(s65)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16281, 16273, 16269])).
% 8.96/6.42 tff(16283,plain,
% 8.96/6.42 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s65) | (~node4(s65)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s65) | (~node4(s65)))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16284,plain,
% 8.96/6.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s65) | (~node4(s65)))),
% 8.96/6.42 inference(quant_inst,[status(thm)],[])).
% 8.96/6.42 tff(16285,plain,
% 8.96/6.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s65) | (~node4(s65))),
% 8.96/6.42 inference(modus_ponens,[status(thm)],[16284, 16283])).
% 8.96/6.42 tff(16286,plain,
% 8.96/6.42 (~node4(s65)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16285, 154, 16282])).
% 8.96/6.42 tff(16287,plain,
% 8.96/6.42 (~until5(s65)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16257, 16286])).
% 8.96/6.42 tff(16288,plain,
% 8.96/6.42 (~xuntil6(s64)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9672, 16287])).
% 8.96/6.42 tff(16289,plain,
% 8.96/6.42 (node4(s64)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16254, 16288])).
% 8.96/6.42 tff(16290,plain,
% 8.96/6.42 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s64) | (~node4(s64)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s64) | (~node4(s64)))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16291,plain,
% 8.96/6.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s64) | (~node4(s64)))),
% 8.96/6.42 inference(quant_inst,[status(thm)],[])).
% 8.96/6.42 tff(16292,plain,
% 8.96/6.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s64) | (~node4(s64))),
% 8.96/6.42 inference(modus_ponens,[status(thm)],[16291, 16290])).
% 8.96/6.42 tff(16293,plain,
% 8.96/6.42 (m_main_v_request(s64)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16292, 154, 16289])).
% 8.96/6.42 tff(16294,plain,
% 8.96/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s64, s65)) | node2(s64, s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s64, s65)) | node2(s64, s65))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16295,plain,
% 8.96/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s64, s65)) | node2(s64, s65))),
% 8.96/6.42 inference(quant_inst,[status(thm)],[])).
% 8.96/6.42 tff(16296,plain,
% 8.96/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s64, s65)) | node2(s64, s65)),
% 8.96/6.42 inference(modus_ponens,[status(thm)],[16295, 16294])).
% 8.96/6.42 tff(16297,plain,
% 8.96/6.42 (node2(s64, s65)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16296, 7, 9478])).
% 8.96/6.42 tff(16298,plain,
% 8.96/6.42 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s64, c_ready)) | (~node2(s64, s65)) | m_main_v_state(s65, c_busy) | (~m_main_v_request(s64)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s64, c_ready)) | (~node2(s64, s65)) | m_main_v_state(s65, c_busy) | (~m_main_v_request(s64)))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16299,plain,
% 8.96/6.42 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s64, c_ready)) | (~node2(s64, s65)) | m_main_v_state(s65, c_busy) | (~m_main_v_request(s64)))),
% 8.96/6.42 inference(quant_inst,[status(thm)],[])).
% 8.96/6.42 tff(16300,plain,
% 8.96/6.42 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s64, c_ready)) | (~node2(s64, s65)) | m_main_v_state(s65, c_busy) | (~m_main_v_request(s64))),
% 8.96/6.42 inference(modus_ponens,[status(thm)],[16299, 16298])).
% 8.96/6.42 tff(16301,plain,
% 8.96/6.42 ((~m_main_v_state(s64, c_ready)) | m_main_v_state(s65, c_busy) | (~m_main_v_request(s64))),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16300, 191, 16297])).
% 8.96/6.42 tff(16302,plain,
% 8.96/6.42 (~m_main_v_state(s64, c_ready)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16301, 16293, 16268])).
% 8.96/6.42 tff(16303,plain,
% 8.96/6.42 (always3(s64)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9659, 22, 16289])).
% 8.96/6.42 tff(16304,plain,
% 8.96/6.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s64)) | (~m_main_v_state(s64, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s64)) | (~m_main_v_state(s64, c_busy)))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16305,plain,
% 8.96/6.42 (((~m_main_v_state(s64, c_busy)) | (~always3(s64))) <=> ((~always3(s64)) | (~m_main_v_state(s64, c_busy)))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16306,plain,
% 8.96/6.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s64, c_busy)) | (~always3(s64)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s64)) | (~m_main_v_state(s64, c_busy))))),
% 8.96/6.42 inference(monotonicity,[status(thm)],[16305])).
% 8.96/6.42 tff(16307,plain,
% 8.96/6.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s64, c_busy)) | (~always3(s64)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s64)) | (~m_main_v_state(s64, c_busy)))),
% 8.96/6.42 inference(transitivity,[status(thm)],[16306, 16304])).
% 8.96/6.42 tff(16308,plain,
% 8.96/6.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s64, c_busy)) | (~always3(s64)))),
% 8.96/6.42 inference(quant_inst,[status(thm)],[])).
% 8.96/6.42 tff(16309,plain,
% 8.96/6.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s64)) | (~m_main_v_state(s64, c_busy))),
% 8.96/6.42 inference(modus_ponens,[status(thm)],[16308, 16307])).
% 8.96/6.42 tff(16310,plain,
% 8.96/6.42 (~m_main_v_state(s64, c_busy)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16309, 170, 16303])).
% 8.96/6.42 tff(16311,plain,
% 8.96/6.42 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s64, c_busy) | m_main_v_state(s64, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s64, c_busy) | m_main_v_state(s64, c_ready))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16312,plain,
% 8.96/6.42 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s64, c_busy) | m_main_v_state(s64, c_ready))),
% 8.96/6.42 inference(quant_inst,[status(thm)],[])).
% 8.96/6.42 tff(16313,plain,
% 8.96/6.42 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s64, c_busy) | m_main_v_state(s64, c_ready)),
% 8.96/6.42 inference(modus_ponens,[status(thm)],[16312, 16311])).
% 8.96/6.42 tff(16314,plain,
% 8.96/6.42 ($false),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16313, 213, 16310, 16302])).
% 8.96/6.42 tff(16315,plain,((~until5(s64)) | xuntil6(s65) | m_main_v_state(s66, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.42 tff(16316,plain,
% 8.96/6.42 (~until5(s64)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16315, 16248, 16226])).
% 8.96/6.42 tff(16317,plain,
% 8.96/6.42 (~xuntil6(s63)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9655, 16316])).
% 8.96/6.42 tff(16318,assumption,(~always3(s63)), introduced(assumption)).
% 8.96/6.42 tff(16319,plain,
% 8.96/6.42 (~always3(s62)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9506, 16318])).
% 8.96/6.42 tff(16320,plain,
% 8.96/6.42 (~node4(s62)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9625, 22, 16319])).
% 8.96/6.42 tff(16321,plain,
% 8.96/6.42 (~node4(s63)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9642, 22, 16318])).
% 8.96/6.42 tff(16322,assumption,(~xuntil6(s63)), introduced(assumption)).
% 8.96/6.42 tff(16323,plain,
% 8.96/6.42 (node4(s63) | (~until5(s63))),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9649, 36, 16322])).
% 8.96/6.42 tff(16324,plain,
% 8.96/6.42 (~until5(s63)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16323, 16321])).
% 8.96/6.42 tff(16325,plain,
% 8.96/6.42 (~xuntil6(s62)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9638, 16324])).
% 8.96/6.42 tff(16326,plain,
% 8.96/6.42 (~until5(s62)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9632, 36, 16325, 16320])).
% 8.96/6.42 tff(16327,plain,
% 8.96/6.42 (~xuntil6(s61)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9621, 16326])).
% 8.96/6.42 tff(16328,plain,
% 8.96/6.42 (~always3(s61)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9518, 16319])).
% 8.96/6.42 tff(16329,plain,
% 8.96/6.42 (~always3(s60)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9530, 16328])).
% 8.96/6.42 tff(16330,plain,
% 8.96/6.42 (~node4(s60)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9591, 22, 16329])).
% 8.96/6.42 tff(16331,plain,
% 8.96/6.42 (~always3(s59)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9542, 16329])).
% 8.96/6.42 tff(16332,plain,
% 8.96/6.42 (~node4(s59)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9546, 22, 16331])).
% 8.96/6.42 tff(16333,plain,
% 8.96/6.42 (xuntil6(s59)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[14954, 16332])).
% 8.96/6.42 tff(16334,plain,
% 8.96/6.42 (until5(s60)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9587, 16333])).
% 8.96/6.42 tff(16335,plain,
% 8.96/6.42 (xuntil6(s60)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9598, 36, 16334, 16330])).
% 8.96/6.42 tff(16336,plain,
% 8.96/6.42 (until5(s61)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9604, 16335])).
% 8.96/6.42 tff(16337,plain,
% 8.96/6.42 (~node4(s61)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9608, 22, 16328])).
% 8.96/6.42 tff(16338,plain,
% 8.96/6.42 (xuntil6(s61) | (~until5(s61))),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9615, 36, 16337])).
% 8.96/6.42 tff(16339,plain,
% 8.96/6.42 ($false),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16338, 16336, 16327])).
% 8.96/6.42 tff(16340,plain,(always3(s63) | (~until5(s59)) | xuntil6(s63)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.42 tff(16341,plain,
% 8.96/6.42 (always3(s63)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16340, 16317, 14953])).
% 8.96/6.42 tff(16342,plain,
% 8.96/6.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s63)) | (~m_main_v_state(s63, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s63)) | (~m_main_v_state(s63, c_busy)))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16343,plain,
% 8.96/6.42 (((~m_main_v_state(s63, c_busy)) | (~always3(s63))) <=> ((~always3(s63)) | (~m_main_v_state(s63, c_busy)))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16344,plain,
% 8.96/6.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s63, c_busy)) | (~always3(s63)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s63)) | (~m_main_v_state(s63, c_busy))))),
% 8.96/6.42 inference(monotonicity,[status(thm)],[16343])).
% 8.96/6.42 tff(16345,plain,
% 8.96/6.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s63, c_busy)) | (~always3(s63)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s63)) | (~m_main_v_state(s63, c_busy)))),
% 8.96/6.42 inference(transitivity,[status(thm)],[16344, 16342])).
% 8.96/6.42 tff(16346,plain,
% 8.96/6.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s63, c_busy)) | (~always3(s63)))),
% 8.96/6.42 inference(quant_inst,[status(thm)],[])).
% 8.96/6.42 tff(16347,plain,
% 8.96/6.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s63)) | (~m_main_v_state(s63, c_busy))),
% 8.96/6.42 inference(modus_ponens,[status(thm)],[16346, 16345])).
% 8.96/6.42 tff(16348,plain,
% 8.96/6.42 (~m_main_v_state(s63, c_busy)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16347, 170, 16341])).
% 8.96/6.42 tff(16349,assumption,(~m_main_v_state(s63, c_busy)), introduced(assumption)).
% 8.96/6.42 tff(16350,assumption,(node4(s62)), introduced(assumption)).
% 8.96/6.42 tff(16351,plain,
% 8.96/6.42 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s62) | (~node4(s62)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s62) | (~node4(s62)))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16352,plain,
% 8.96/6.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s62) | (~node4(s62)))),
% 8.96/6.42 inference(quant_inst,[status(thm)],[])).
% 8.96/6.42 tff(16353,plain,
% 8.96/6.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s62) | (~node4(s62))),
% 8.96/6.42 inference(modus_ponens,[status(thm)],[16352, 16351])).
% 8.96/6.42 tff(16354,plain,
% 8.96/6.42 (m_main_v_request(s62)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16353, 154, 16350])).
% 8.96/6.42 tff(16355,plain,
% 8.96/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s62, s63)) | node2(s62, s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s62, s63)) | node2(s62, s63))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16356,plain,
% 8.96/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s62, s63)) | node2(s62, s63))),
% 8.96/6.42 inference(quant_inst,[status(thm)],[])).
% 8.96/6.42 tff(16357,plain,
% 8.96/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s62, s63)) | node2(s62, s63)),
% 8.96/6.42 inference(modus_ponens,[status(thm)],[16356, 16355])).
% 8.96/6.42 tff(16358,plain,
% 8.96/6.42 (node2(s62, s63)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16357, 7, 9502])).
% 8.96/6.42 tff(16359,plain,
% 8.96/6.42 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s62, c_ready)) | (~node2(s62, s63)) | m_main_v_state(s63, c_busy) | (~m_main_v_request(s62)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s62, c_ready)) | (~node2(s62, s63)) | m_main_v_state(s63, c_busy) | (~m_main_v_request(s62)))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16360,plain,
% 8.96/6.42 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s62, c_ready)) | (~node2(s62, s63)) | m_main_v_state(s63, c_busy) | (~m_main_v_request(s62)))),
% 8.96/6.42 inference(quant_inst,[status(thm)],[])).
% 8.96/6.42 tff(16361,plain,
% 8.96/6.42 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s62, c_ready)) | (~node2(s62, s63)) | m_main_v_state(s63, c_busy) | (~m_main_v_request(s62))),
% 8.96/6.42 inference(modus_ponens,[status(thm)],[16360, 16359])).
% 8.96/6.42 tff(16362,plain,
% 8.96/6.42 ((~m_main_v_state(s62, c_ready)) | m_main_v_state(s63, c_busy) | (~m_main_v_request(s62))),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16361, 191, 16358])).
% 8.96/6.42 tff(16363,plain,
% 8.96/6.42 (~m_main_v_state(s62, c_ready)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16362, 16354, 16349])).
% 8.96/6.42 tff(16364,plain,
% 8.96/6.42 (always3(s62)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9625, 22, 16350])).
% 8.96/6.42 tff(16365,plain,
% 8.96/6.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s62)) | (~m_main_v_state(s62, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s62)) | (~m_main_v_state(s62, c_busy)))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16366,plain,
% 8.96/6.42 (((~m_main_v_state(s62, c_busy)) | (~always3(s62))) <=> ((~always3(s62)) | (~m_main_v_state(s62, c_busy)))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16367,plain,
% 8.96/6.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s62, c_busy)) | (~always3(s62)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s62)) | (~m_main_v_state(s62, c_busy))))),
% 8.96/6.42 inference(monotonicity,[status(thm)],[16366])).
% 8.96/6.42 tff(16368,plain,
% 8.96/6.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s62, c_busy)) | (~always3(s62)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s62)) | (~m_main_v_state(s62, c_busy)))),
% 8.96/6.42 inference(transitivity,[status(thm)],[16367, 16365])).
% 8.96/6.42 tff(16369,plain,
% 8.96/6.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s62, c_busy)) | (~always3(s62)))),
% 8.96/6.42 inference(quant_inst,[status(thm)],[])).
% 8.96/6.42 tff(16370,plain,
% 8.96/6.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s62)) | (~m_main_v_state(s62, c_busy))),
% 8.96/6.42 inference(modus_ponens,[status(thm)],[16369, 16368])).
% 8.96/6.42 tff(16371,plain,
% 8.96/6.42 (~m_main_v_state(s62, c_busy)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16370, 170, 16364])).
% 8.96/6.42 tff(16372,plain,
% 8.96/6.42 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s62, c_busy) | m_main_v_state(s62, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s62, c_busy) | m_main_v_state(s62, c_ready))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16373,plain,
% 8.96/6.42 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s62, c_busy) | m_main_v_state(s62, c_ready))),
% 8.96/6.42 inference(quant_inst,[status(thm)],[])).
% 8.96/6.42 tff(16374,plain,
% 8.96/6.42 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s62, c_busy) | m_main_v_state(s62, c_ready)),
% 8.96/6.42 inference(modus_ponens,[status(thm)],[16373, 16372])).
% 8.96/6.42 tff(16375,plain,
% 8.96/6.42 ($false),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16374, 213, 16371, 16363])).
% 8.96/6.42 tff(16376,plain,((~node4(s62)) | m_main_v_state(s63, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.42 tff(16377,plain,
% 8.96/6.42 (~node4(s62)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16376, 16348])).
% 8.96/6.42 tff(16378,plain,
% 8.96/6.42 (always3(s64)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9494, 16341])).
% 8.96/6.42 tff(16379,plain,
% 8.96/6.42 (~m_main_v_state(s64, c_busy)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16309, 170, 16378])).
% 8.96/6.42 tff(16380,plain,
% 8.96/6.42 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s63, c_busy) | m_main_v_state(s63, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s63, c_busy) | m_main_v_state(s63, c_ready))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16381,plain,
% 8.96/6.42 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s63, c_busy) | m_main_v_state(s63, c_ready))),
% 8.96/6.42 inference(quant_inst,[status(thm)],[])).
% 8.96/6.42 tff(16382,plain,
% 8.96/6.42 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s63, c_busy) | m_main_v_state(s63, c_ready)),
% 8.96/6.42 inference(modus_ponens,[status(thm)],[16381, 16380])).
% 8.96/6.42 tff(16383,plain,
% 8.96/6.42 (m_main_v_state(s63, c_ready)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16382, 213, 16348])).
% 8.96/6.42 tff(16384,plain,
% 8.96/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s63, s64)) | node2(s63, s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s63, s64)) | node2(s63, s64))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16385,plain,
% 8.96/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s63, s64)) | node2(s63, s64))),
% 8.96/6.42 inference(quant_inst,[status(thm)],[])).
% 8.96/6.42 tff(16386,plain,
% 8.96/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s63, s64)) | node2(s63, s64)),
% 8.96/6.42 inference(modus_ponens,[status(thm)],[16385, 16384])).
% 8.96/6.42 tff(16387,plain,
% 8.96/6.42 (node2(s63, s64)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16386, 7, 9490])).
% 8.96/6.42 tff(16388,plain,
% 8.96/6.42 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s63, c_ready)) | (~node2(s63, s64)) | m_main_v_state(s64, c_busy) | (~m_main_v_request(s63)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s63, c_ready)) | (~node2(s63, s64)) | m_main_v_state(s64, c_busy) | (~m_main_v_request(s63)))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16389,plain,
% 8.96/6.42 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s63, c_ready)) | (~node2(s63, s64)) | m_main_v_state(s64, c_busy) | (~m_main_v_request(s63)))),
% 8.96/6.42 inference(quant_inst,[status(thm)],[])).
% 8.96/6.42 tff(16390,plain,
% 8.96/6.42 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s63, c_ready)) | (~node2(s63, s64)) | m_main_v_state(s64, c_busy) | (~m_main_v_request(s63))),
% 8.96/6.42 inference(modus_ponens,[status(thm)],[16389, 16388])).
% 8.96/6.42 tff(16391,plain,
% 8.96/6.42 ((~m_main_v_state(s63, c_ready)) | m_main_v_state(s64, c_busy) | (~m_main_v_request(s63))),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16390, 191, 16387])).
% 8.96/6.42 tff(16392,plain,
% 8.96/6.42 (~m_main_v_request(s63)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16391, 16383, 16379])).
% 8.96/6.42 tff(16393,plain,
% 8.96/6.42 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s63) | (~node4(s63)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s63) | (~node4(s63)))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16394,plain,
% 8.96/6.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s63) | (~node4(s63)))),
% 8.96/6.42 inference(quant_inst,[status(thm)],[])).
% 8.96/6.42 tff(16395,plain,
% 8.96/6.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s63) | (~node4(s63))),
% 8.96/6.42 inference(modus_ponens,[status(thm)],[16394, 16393])).
% 8.96/6.42 tff(16396,plain,
% 8.96/6.42 (~node4(s63)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16395, 154, 16392])).
% 8.96/6.42 tff(16397,plain,
% 8.96/6.42 (node4(s63) | (~until5(s63))),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9649, 36, 16317])).
% 8.96/6.42 tff(16398,plain,
% 8.96/6.42 (~until5(s63)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16397, 16396])).
% 8.96/6.42 tff(16399,plain,
% 8.96/6.42 (~xuntil6(s62)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9638, 16398])).
% 8.96/6.42 tff(16400,plain,
% 8.96/6.42 (~until5(s62)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9632, 36, 16399, 16377])).
% 8.96/6.42 tff(16401,plain,
% 8.96/6.42 (~xuntil6(s61)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9621, 16400])).
% 8.96/6.42 tff(16402,assumption,(~always3(s61)), introduced(assumption)).
% 8.96/6.42 tff(16403,plain,
% 8.96/6.42 (~always3(s60)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9530, 16402])).
% 8.96/6.42 tff(16404,plain,
% 8.96/6.42 (~node4(s60)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9591, 22, 16403])).
% 8.96/6.42 tff(16405,plain,
% 8.96/6.42 (~node4(s61)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9608, 22, 16402])).
% 8.96/6.42 tff(16406,assumption,(~xuntil6(s61)), introduced(assumption)).
% 8.96/6.42 tff(16407,plain,
% 8.96/6.42 (node4(s61) | (~until5(s61))),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9615, 36, 16406])).
% 8.96/6.42 tff(16408,plain,
% 8.96/6.42 (~until5(s61)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16407, 16405])).
% 8.96/6.42 tff(16409,plain,
% 8.96/6.42 (~xuntil6(s60)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9604, 16408])).
% 8.96/6.42 tff(16410,plain,
% 8.96/6.42 (~always3(s59)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9542, 16403])).
% 8.96/6.42 tff(16411,plain,
% 8.96/6.42 (~node4(s59)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9546, 22, 16410])).
% 8.96/6.42 tff(16412,plain,
% 8.96/6.42 (xuntil6(s59)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[14954, 16411])).
% 8.96/6.42 tff(16413,plain,
% 8.96/6.42 (until5(s60)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9587, 16412])).
% 8.96/6.42 tff(16414,plain,
% 8.96/6.42 ($false),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9598, 36, 16413, 16409, 16404])).
% 8.96/6.42 tff(16415,plain,(always3(s61) | (~until5(s59)) | xuntil6(s61)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.42 tff(16416,plain,
% 8.96/6.42 (always3(s61)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16415, 16401, 14953])).
% 8.96/6.42 tff(16417,plain,
% 8.96/6.42 (always3(s62)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9518, 16416])).
% 8.96/6.42 tff(16418,plain,
% 8.96/6.42 (~m_main_v_state(s62, c_busy)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16370, 170, 16417])).
% 8.96/6.42 tff(16419,plain,
% 8.96/6.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s61)) | (~m_main_v_state(s61, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s61)) | (~m_main_v_state(s61, c_busy)))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16420,plain,
% 8.96/6.42 (((~m_main_v_state(s61, c_busy)) | (~always3(s61))) <=> ((~always3(s61)) | (~m_main_v_state(s61, c_busy)))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16421,plain,
% 8.96/6.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s61, c_busy)) | (~always3(s61)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s61)) | (~m_main_v_state(s61, c_busy))))),
% 8.96/6.42 inference(monotonicity,[status(thm)],[16420])).
% 8.96/6.42 tff(16422,plain,
% 8.96/6.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s61, c_busy)) | (~always3(s61)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s61)) | (~m_main_v_state(s61, c_busy)))),
% 8.96/6.42 inference(transitivity,[status(thm)],[16421, 16419])).
% 8.96/6.42 tff(16423,plain,
% 8.96/6.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s61, c_busy)) | (~always3(s61)))),
% 8.96/6.42 inference(quant_inst,[status(thm)],[])).
% 8.96/6.42 tff(16424,plain,
% 8.96/6.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s61)) | (~m_main_v_state(s61, c_busy))),
% 8.96/6.42 inference(modus_ponens,[status(thm)],[16423, 16422])).
% 8.96/6.42 tff(16425,plain,
% 8.96/6.42 (~m_main_v_state(s61, c_busy)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16424, 170, 16416])).
% 8.96/6.42 tff(16426,plain,
% 8.96/6.42 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s61, c_busy) | m_main_v_state(s61, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s61, c_busy) | m_main_v_state(s61, c_ready))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16427,plain,
% 8.96/6.42 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s61, c_busy) | m_main_v_state(s61, c_ready))),
% 8.96/6.42 inference(quant_inst,[status(thm)],[])).
% 8.96/6.42 tff(16428,plain,
% 8.96/6.42 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s61, c_busy) | m_main_v_state(s61, c_ready)),
% 8.96/6.42 inference(modus_ponens,[status(thm)],[16427, 16426])).
% 8.96/6.42 tff(16429,plain,
% 8.96/6.42 (m_main_v_state(s61, c_ready)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16428, 213, 16425])).
% 8.96/6.42 tff(16430,assumption,(~m_main_v_state(s61, c_busy)), introduced(assumption)).
% 8.96/6.42 tff(16431,assumption,(node4(s60)), introduced(assumption)).
% 8.96/6.42 tff(16432,plain,
% 8.96/6.42 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s60) | (~node4(s60)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s60) | (~node4(s60)))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16433,plain,
% 8.96/6.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s60) | (~node4(s60)))),
% 8.96/6.42 inference(quant_inst,[status(thm)],[])).
% 8.96/6.42 tff(16434,plain,
% 8.96/6.42 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s60) | (~node4(s60))),
% 8.96/6.42 inference(modus_ponens,[status(thm)],[16433, 16432])).
% 8.96/6.42 tff(16435,plain,
% 8.96/6.42 (m_main_v_request(s60)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16434, 154, 16431])).
% 8.96/6.42 tff(16436,plain,
% 8.96/6.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s60, s61)) | node2(s60, s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s60, s61)) | node2(s60, s61))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16437,plain,
% 8.96/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s60, s61)) | node2(s60, s61))),
% 8.96/6.42 inference(quant_inst,[status(thm)],[])).
% 8.96/6.42 tff(16438,plain,
% 8.96/6.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s60, s61)) | node2(s60, s61)),
% 8.96/6.42 inference(modus_ponens,[status(thm)],[16437, 16436])).
% 8.96/6.42 tff(16439,plain,
% 8.96/6.42 (node2(s60, s61)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16438, 7, 9526])).
% 8.96/6.42 tff(16440,plain,
% 8.96/6.42 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s60, c_ready)) | (~node2(s60, s61)) | m_main_v_state(s61, c_busy) | (~m_main_v_request(s60)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s60, c_ready)) | (~node2(s60, s61)) | m_main_v_state(s61, c_busy) | (~m_main_v_request(s60)))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16441,plain,
% 8.96/6.42 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s60, c_ready)) | (~node2(s60, s61)) | m_main_v_state(s61, c_busy) | (~m_main_v_request(s60)))),
% 8.96/6.42 inference(quant_inst,[status(thm)],[])).
% 8.96/6.42 tff(16442,plain,
% 8.96/6.42 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s60, c_ready)) | (~node2(s60, s61)) | m_main_v_state(s61, c_busy) | (~m_main_v_request(s60))),
% 8.96/6.42 inference(modus_ponens,[status(thm)],[16441, 16440])).
% 8.96/6.42 tff(16443,plain,
% 8.96/6.42 ((~m_main_v_state(s60, c_ready)) | m_main_v_state(s61, c_busy) | (~m_main_v_request(s60))),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16442, 191, 16439])).
% 8.96/6.42 tff(16444,plain,
% 8.96/6.42 (~m_main_v_state(s60, c_ready)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16443, 16435, 16430])).
% 8.96/6.42 tff(16445,plain,
% 8.96/6.42 (always3(s60)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[9591, 22, 16431])).
% 8.96/6.42 tff(16446,plain,
% 8.96/6.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s60)) | (~m_main_v_state(s60, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s60)) | (~m_main_v_state(s60, c_busy)))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16447,plain,
% 8.96/6.42 (((~m_main_v_state(s60, c_busy)) | (~always3(s60))) <=> ((~always3(s60)) | (~m_main_v_state(s60, c_busy)))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16448,plain,
% 8.96/6.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s60, c_busy)) | (~always3(s60)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s60)) | (~m_main_v_state(s60, c_busy))))),
% 8.96/6.42 inference(monotonicity,[status(thm)],[16447])).
% 8.96/6.42 tff(16449,plain,
% 8.96/6.42 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s60, c_busy)) | (~always3(s60)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s60)) | (~m_main_v_state(s60, c_busy)))),
% 8.96/6.42 inference(transitivity,[status(thm)],[16448, 16446])).
% 8.96/6.42 tff(16450,plain,
% 8.96/6.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s60, c_busy)) | (~always3(s60)))),
% 8.96/6.42 inference(quant_inst,[status(thm)],[])).
% 8.96/6.42 tff(16451,plain,
% 8.96/6.42 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s60)) | (~m_main_v_state(s60, c_busy))),
% 8.96/6.42 inference(modus_ponens,[status(thm)],[16450, 16449])).
% 8.96/6.42 tff(16452,plain,
% 8.96/6.42 (~m_main_v_state(s60, c_busy)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16451, 170, 16445])).
% 8.96/6.42 tff(16453,plain,
% 8.96/6.42 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s60, c_busy) | m_main_v_state(s60, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s60, c_busy) | m_main_v_state(s60, c_ready))),
% 8.96/6.42 inference(rewrite,[status(thm)],[])).
% 8.96/6.42 tff(16454,plain,
% 8.96/6.42 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s60, c_busy) | m_main_v_state(s60, c_ready))),
% 8.96/6.42 inference(quant_inst,[status(thm)],[])).
% 8.96/6.42 tff(16455,plain,
% 8.96/6.42 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s60, c_busy) | m_main_v_state(s60, c_ready)),
% 8.96/6.42 inference(modus_ponens,[status(thm)],[16454, 16453])).
% 8.96/6.42 tff(16456,plain,
% 8.96/6.42 ($false),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16455, 213, 16452, 16444])).
% 8.96/6.42 tff(16457,plain,((~node4(s60)) | m_main_v_state(s61, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.42 tff(16458,plain,
% 8.96/6.42 (~node4(s60)),
% 8.96/6.42 inference(unit_resolution,[status(thm)],[16457, 16425])).
% 8.96/6.42 tff(16459,assumption,(node4(s59)), introduced(assumption)).
% 8.96/6.43 tff(16460,plain,
% 8.96/6.43 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s59) | (~node4(s59)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s59) | (~node4(s59)))),
% 8.96/6.43 inference(rewrite,[status(thm)],[])).
% 8.96/6.43 tff(16461,plain,
% 8.96/6.43 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s59) | (~node4(s59)))),
% 8.96/6.43 inference(quant_inst,[status(thm)],[])).
% 8.96/6.43 tff(16462,plain,
% 8.96/6.43 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s59) | (~node4(s59))),
% 8.96/6.43 inference(modus_ponens,[status(thm)],[16461, 16460])).
% 8.96/6.43 tff(16463,plain,
% 8.96/6.43 (m_main_v_request(s59)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16462, 154, 16459])).
% 8.96/6.43 tff(16464,plain,
% 8.96/6.43 (always3(s59)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9546, 22, 16459])).
% 8.96/6.43 tff(16465,plain,
% 8.96/6.43 (always3(s60)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9542, 16464])).
% 8.96/6.43 tff(16466,plain,
% 8.96/6.43 (~m_main_v_state(s60, c_busy)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16451, 170, 16465])).
% 8.96/6.43 tff(16467,plain,
% 8.96/6.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s59, s60)) | node2(s59, s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s59, s60)) | node2(s59, s60))),
% 8.96/6.43 inference(rewrite,[status(thm)],[])).
% 8.96/6.43 tff(16468,plain,
% 8.96/6.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s59, s60)) | node2(s59, s60))),
% 8.96/6.43 inference(quant_inst,[status(thm)],[])).
% 8.96/6.43 tff(16469,plain,
% 8.96/6.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s59, s60)) | node2(s59, s60)),
% 8.96/6.43 inference(modus_ponens,[status(thm)],[16468, 16467])).
% 8.96/6.43 tff(16470,plain,
% 8.96/6.43 (node2(s59, s60)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16469, 7, 9538])).
% 8.96/6.43 tff(16471,plain,
% 8.96/6.43 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s59, c_ready)) | (~node2(s59, s60)) | m_main_v_state(s60, c_busy) | (~m_main_v_request(s59)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s59, c_ready)) | (~node2(s59, s60)) | m_main_v_state(s60, c_busy) | (~m_main_v_request(s59)))),
% 8.96/6.43 inference(rewrite,[status(thm)],[])).
% 8.96/6.43 tff(16472,plain,
% 8.96/6.43 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s59, c_ready)) | (~node2(s59, s60)) | m_main_v_state(s60, c_busy) | (~m_main_v_request(s59)))),
% 8.96/6.43 inference(quant_inst,[status(thm)],[])).
% 8.96/6.43 tff(16473,plain,
% 8.96/6.43 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s59, c_ready)) | (~node2(s59, s60)) | m_main_v_state(s60, c_busy) | (~m_main_v_request(s59))),
% 8.96/6.43 inference(modus_ponens,[status(thm)],[16472, 16471])).
% 8.96/6.43 tff(16474,plain,
% 8.96/6.43 ((~m_main_v_state(s59, c_ready)) | m_main_v_state(s60, c_busy) | (~m_main_v_request(s59))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16473, 191, 16470])).
% 8.96/6.43 tff(16475,plain,
% 8.96/6.43 (~m_main_v_state(s59, c_ready)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16474, 16466, 16463])).
% 8.96/6.43 tff(16476,plain,
% 8.96/6.43 (~m_main_v_state(s59, c_busy)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[14852, 170, 16464])).
% 8.96/6.43 tff(16477,plain,
% 8.96/6.43 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s59, c_busy) | m_main_v_state(s59, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s59, c_busy) | m_main_v_state(s59, c_ready))),
% 8.96/6.43 inference(rewrite,[status(thm)],[])).
% 8.96/6.43 tff(16478,plain,
% 8.96/6.43 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s59, c_busy) | m_main_v_state(s59, c_ready))),
% 8.96/6.43 inference(quant_inst,[status(thm)],[])).
% 8.96/6.43 tff(16479,plain,
% 8.96/6.43 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s59, c_busy) | m_main_v_state(s59, c_ready)),
% 8.96/6.43 inference(modus_ponens,[status(thm)],[16478, 16477])).
% 8.96/6.43 tff(16480,plain,
% 8.96/6.43 ($false),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16479, 213, 16476, 16475])).
% 8.96/6.43 tff(16481,plain,(~node4(s59)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.43 tff(16482,plain,
% 8.96/6.43 (xuntil6(s59) | (~until5(s59))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9582, 36, 16481])).
% 8.96/6.43 tff(16483,plain,
% 8.96/6.43 (xuntil6(s59)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16482, 14953])).
% 8.96/6.43 tff(16484,plain,
% 8.96/6.43 (until5(s60)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9587, 16483])).
% 8.96/6.43 tff(16485,plain,
% 8.96/6.43 (xuntil6(s60) | node4(s60)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9598, 36, 16484])).
% 8.96/6.43 tff(16486,plain,
% 8.96/6.43 (xuntil6(s60)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16485, 16458])).
% 8.96/6.43 tff(16487,plain,
% 8.96/6.43 (until5(s61)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9604, 16486])).
% 8.96/6.43 tff(16488,plain,
% 8.96/6.43 (node4(s61) | (~until5(s61))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9615, 36, 16401])).
% 8.96/6.43 tff(16489,plain,
% 8.96/6.43 (node4(s61)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16488, 16487])).
% 8.96/6.43 tff(16490,plain,
% 8.96/6.43 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s61) | (~node4(s61)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s61) | (~node4(s61)))),
% 8.96/6.43 inference(rewrite,[status(thm)],[])).
% 8.96/6.43 tff(16491,plain,
% 8.96/6.43 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s61) | (~node4(s61)))),
% 8.96/6.43 inference(quant_inst,[status(thm)],[])).
% 8.96/6.43 tff(16492,plain,
% 8.96/6.43 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s61) | (~node4(s61))),
% 8.96/6.43 inference(modus_ponens,[status(thm)],[16491, 16490])).
% 8.96/6.43 tff(16493,plain,
% 8.96/6.43 (m_main_v_request(s61)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16492, 154, 16489])).
% 8.96/6.43 tff(16494,plain,
% 8.96/6.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s61, s62)) | node2(s61, s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s61, s62)) | node2(s61, s62))),
% 8.96/6.43 inference(rewrite,[status(thm)],[])).
% 8.96/6.43 tff(16495,plain,
% 8.96/6.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s61, s62)) | node2(s61, s62))),
% 8.96/6.43 inference(quant_inst,[status(thm)],[])).
% 8.96/6.43 tff(16496,plain,
% 8.96/6.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s61, s62)) | node2(s61, s62)),
% 8.96/6.43 inference(modus_ponens,[status(thm)],[16495, 16494])).
% 8.96/6.43 tff(16497,plain,
% 8.96/6.43 (node2(s61, s62)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16496, 7, 9514])).
% 8.96/6.43 tff(16498,plain,
% 8.96/6.43 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s61, c_ready)) | (~node2(s61, s62)) | m_main_v_state(s62, c_busy) | (~m_main_v_request(s61)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s61, c_ready)) | (~node2(s61, s62)) | m_main_v_state(s62, c_busy) | (~m_main_v_request(s61)))),
% 8.96/6.43 inference(rewrite,[status(thm)],[])).
% 8.96/6.43 tff(16499,plain,
% 8.96/6.43 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s61, c_ready)) | (~node2(s61, s62)) | m_main_v_state(s62, c_busy) | (~m_main_v_request(s61)))),
% 8.96/6.43 inference(quant_inst,[status(thm)],[])).
% 8.96/6.43 tff(16500,plain,
% 8.96/6.43 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s61, c_ready)) | (~node2(s61, s62)) | m_main_v_state(s62, c_busy) | (~m_main_v_request(s61))),
% 8.96/6.43 inference(modus_ponens,[status(thm)],[16499, 16498])).
% 8.96/6.43 tff(16501,plain,
% 8.96/6.43 ((~m_main_v_state(s61, c_ready)) | m_main_v_state(s62, c_busy) | (~m_main_v_request(s61))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16500, 191, 16497])).
% 8.96/6.43 tff(16502,plain,
% 8.96/6.43 ($false),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16501, 16493, 16429, 16418])).
% 8.96/6.43 tff(16503,plain,((~until5(s59)) | xuntil6(s76)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.43 tff(16504,plain,
% 8.96/6.43 (xuntil6(s76)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16503, 14871])).
% 8.96/6.43 tff(16505,plain,
% 8.96/6.43 (until5(s77)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9876, 16504])).
% 8.96/6.43 tff(16506,plain,
% 8.96/6.43 (xuntil6(s77) | node4(s77)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9887, 36, 16505])).
% 8.96/6.43 tff(16507,plain,
% 8.96/6.43 (xuntil6(s77)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16506, 15520])).
% 8.96/6.43 tff(16508,plain,
% 8.96/6.43 (until5(s78)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9893, 16507])).
% 8.96/6.43 tff(16509,plain,
% 8.96/6.43 (always3(s78)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[15453, 15378, 14953])).
% 8.96/6.43 tff(16510,plain,
% 8.96/6.43 (always3(s79)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9314, 16509])).
% 8.96/6.43 tff(16511,plain,
% 8.96/6.43 (~m_main_v_state(s79, c_busy)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[15368, 170, 16510])).
% 8.96/6.43 tff(16512,assumption,(until5(s78)), introduced(assumption)).
% 8.96/6.43 tff(16513,plain,
% 8.96/6.43 (xuntil6(s78) | node4(s78)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9904, 36, 16512])).
% 8.96/6.43 tff(16514,plain,
% 8.96/6.43 (node4(s78)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16513, 15378])).
% 8.96/6.43 tff(16515,plain,
% 8.96/6.43 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s78) | (~node4(s78)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s78) | (~node4(s78)))),
% 8.96/6.43 inference(rewrite,[status(thm)],[])).
% 8.96/6.43 tff(16516,plain,
% 8.96/6.43 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s78) | (~node4(s78)))),
% 8.96/6.43 inference(quant_inst,[status(thm)],[])).
% 8.96/6.43 tff(16517,plain,
% 8.96/6.43 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s78) | (~node4(s78))),
% 8.96/6.43 inference(modus_ponens,[status(thm)],[16516, 16515])).
% 8.96/6.43 tff(16518,plain,
% 8.96/6.43 (m_main_v_request(s78)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16517, 154, 16514])).
% 8.96/6.43 tff(16519,plain,
% 8.96/6.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s78, s79)) | node2(s78, s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s78, s79)) | node2(s78, s79))),
% 8.96/6.43 inference(rewrite,[status(thm)],[])).
% 8.96/6.43 tff(16520,plain,
% 8.96/6.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s78, s79)) | node2(s78, s79))),
% 8.96/6.43 inference(quant_inst,[status(thm)],[])).
% 8.96/6.43 tff(16521,plain,
% 8.96/6.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s78, s79)) | node2(s78, s79)),
% 8.96/6.43 inference(modus_ponens,[status(thm)],[16520, 16519])).
% 8.96/6.43 tff(16522,plain,
% 8.96/6.43 (node2(s78, s79)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16521, 7, 9310])).
% 8.96/6.43 tff(16523,plain,
% 8.96/6.43 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s78, c_ready)) | (~node2(s78, s79)) | m_main_v_state(s79, c_busy) | (~m_main_v_request(s78)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s78, c_ready)) | (~node2(s78, s79)) | m_main_v_state(s79, c_busy) | (~m_main_v_request(s78)))),
% 8.96/6.43 inference(rewrite,[status(thm)],[])).
% 8.96/6.43 tff(16524,plain,
% 8.96/6.43 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s78, c_ready)) | (~node2(s78, s79)) | m_main_v_state(s79, c_busy) | (~m_main_v_request(s78)))),
% 8.96/6.43 inference(quant_inst,[status(thm)],[])).
% 8.96/6.43 tff(16525,plain,
% 8.96/6.43 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s78, c_ready)) | (~node2(s78, s79)) | m_main_v_state(s79, c_busy) | (~m_main_v_request(s78))),
% 8.96/6.43 inference(modus_ponens,[status(thm)],[16524, 16523])).
% 8.96/6.43 tff(16526,plain,
% 8.96/6.43 ((~m_main_v_state(s78, c_ready)) | m_main_v_state(s79, c_busy) | (~m_main_v_request(s78))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16525, 191, 16522])).
% 8.96/6.43 tff(16527,plain,
% 8.96/6.43 (~m_main_v_state(s78, c_ready)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16526, 16518, 16511])).
% 8.96/6.43 tff(16528,assumption,(~m_main_v_state(s78, c_ready)), introduced(assumption)).
% 8.96/6.43 tff(16529,plain,
% 8.96/6.43 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s77, s78)) | m_main_v_state(s78, c_busy) | node1(s77) | m_main_v_state(s78, 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(s77, s78)) | m_main_v_state(s78, c_busy) | node1(s77) | m_main_v_state(s78, c_ready))),
% 8.96/6.43 inference(rewrite,[status(thm)],[])).
% 8.96/6.43 tff(16530,plain,
% 8.96/6.43 ((node1(s77) | m_main_v_state(s78, c_ready) | (~node2(s77, s78)) | m_main_v_state(s78, c_busy)) <=> ((~node2(s77, s78)) | m_main_v_state(s78, c_busy) | node1(s77) | m_main_v_state(s78, c_ready))),
% 8.96/6.43 inference(rewrite,[status(thm)],[])).
% 8.96/6.43 tff(16531,plain,
% 8.96/6.43 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s77) | m_main_v_state(s78, c_ready) | (~node2(s77, s78)) | m_main_v_state(s78, 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(s77, s78)) | m_main_v_state(s78, c_busy) | node1(s77) | m_main_v_state(s78, c_ready)))),
% 8.96/6.43 inference(monotonicity,[status(thm)],[16530])).
% 8.96/6.43 tff(16532,plain,
% 8.96/6.43 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s77) | m_main_v_state(s78, c_ready) | (~node2(s77, s78)) | m_main_v_state(s78, 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(s77, s78)) | m_main_v_state(s78, c_busy) | node1(s77) | m_main_v_state(s78, c_ready))),
% 8.96/6.43 inference(transitivity,[status(thm)],[16531, 16529])).
% 8.96/6.43 tff(16533,plain,
% 8.96/6.43 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s77) | m_main_v_state(s78, c_ready) | (~node2(s77, s78)) | m_main_v_state(s78, c_busy))),
% 8.96/6.43 inference(quant_inst,[status(thm)],[])).
% 8.96/6.43 tff(16534,plain,
% 8.96/6.43 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s77, s78)) | m_main_v_state(s78, c_busy) | node1(s77) | m_main_v_state(s78, c_ready)),
% 8.96/6.43 inference(modus_ponens,[status(thm)],[16533, 16532])).
% 8.96/6.43 tff(16535,plain,
% 8.96/6.43 (m_main_v_state(s78, c_busy) | node1(s77) | m_main_v_state(s78, c_ready)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16534, 4166, 15501])).
% 8.96/6.43 tff(16536,plain,
% 8.96/6.43 (node1(s77)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16535, 15492, 16528])).
% 8.96/6.43 tff(16537,plain,
% 8.96/6.43 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s77, c_ready) | (~node1(s77)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s77, c_ready) | (~node1(s77)))),
% 8.96/6.43 inference(rewrite,[status(thm)],[])).
% 8.96/6.43 tff(16538,plain,
% 8.96/6.43 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s77, c_ready) | (~node1(s77)))),
% 8.96/6.43 inference(quant_inst,[status(thm)],[])).
% 8.96/6.43 tff(16539,plain,
% 8.96/6.43 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s77, c_ready) | (~node1(s77))),
% 8.96/6.43 inference(modus_ponens,[status(thm)],[16538, 16537])).
% 8.96/6.43 tff(16540,plain,
% 8.96/6.43 (m_main_v_state(s77, c_ready)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16539, 4151, 16536])).
% 8.96/6.43 tff(16541,plain,
% 8.96/6.43 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s77) | (~node1(s77)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s77) | (~node1(s77)))),
% 8.96/6.43 inference(rewrite,[status(thm)],[])).
% 8.96/6.43 tff(16542,plain,
% 8.96/6.43 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s77) | (~node1(s77)))),
% 8.96/6.43 inference(quant_inst,[status(thm)],[])).
% 8.96/6.43 tff(16543,plain,
% 8.96/6.43 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s77) | (~node1(s77))),
% 8.96/6.43 inference(modus_ponens,[status(thm)],[16542, 16541])).
% 8.96/6.43 tff(16544,plain,
% 8.96/6.43 (m_main_v_request(s77)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16543, 14380, 16536])).
% 8.96/6.43 tff(16545,plain,
% 8.96/6.43 ($false),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[15505, 16544, 16540, 15492])).
% 8.96/6.43 tff(16546,plain,(m_main_v_state(s78, c_busy) | m_main_v_state(s78, c_ready)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.43 tff(16547,plain,
% 8.96/6.43 (m_main_v_state(s78, c_busy)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16546, 16527])).
% 8.96/6.43 tff(16548,plain,
% 8.96/6.43 ($false),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[15490, 170, 16509, 16547])).
% 8.96/6.43 tff(16549,plain,(xuntil6(s78) | (~until5(s78)) | (~until5(s59))), inference(lemma,lemma(discharge,[]))).
% 8.96/6.43 tff(16550,plain,
% 8.96/6.43 (xuntil6(s78)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16549, 16508, 14871])).
% 8.96/6.43 tff(16551,plain,
% 8.96/6.43 (until5(s79)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9910, 16550])).
% 8.96/6.43 tff(16552,plain,
% 8.96/6.43 (xuntil6(s79)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9921, 36, 16551, 15484])).
% 8.96/6.43 tff(16553,plain,
% 8.96/6.43 (until5(s80)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9927, 16552])).
% 8.96/6.43 tff(16554,plain,
% 8.96/6.43 (xuntil6(s80) | node4(s80)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9938, 36, 16553])).
% 8.96/6.43 tff(16555,plain,
% 8.96/6.43 (xuntil6(s80)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16554, 15483])).
% 8.96/6.43 tff(16556,plain,
% 8.96/6.43 (until5(s81)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9944, 16555])).
% 8.96/6.43 tff(16557,plain,
% 8.96/6.43 ($false),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[15222, 16556, 15041, 15014])).
% 8.96/6.43 tff(16558,plain,(xuntil6(s85)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.43 tff(16559,plain,
% 8.96/6.43 (until5(s86)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[10029, 16558])).
% 8.96/6.43 tff(16560,assumption,(~xuntil6(s87)), introduced(assumption)).
% 8.96/6.43 tff(16561,assumption,(~always3(s87)), introduced(assumption)).
% 8.96/6.43 tff(16562,plain,
% 8.96/6.43 (~always3(s86)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9218, 16561])).
% 8.96/6.43 tff(16563,plain,
% 8.96/6.43 (~node4(s86)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[10033, 22, 16562])).
% 8.96/6.43 tff(16564,plain,
% 8.96/6.43 (~node4(s87)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[10050, 22, 16561])).
% 8.96/6.43 tff(16565,plain,
% 8.96/6.43 (node4(s87) | (~until5(s87))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[10057, 36, 16560])).
% 8.96/6.43 tff(16566,plain,
% 8.96/6.43 (~until5(s87)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16565, 16564])).
% 8.96/6.43 tff(16567,plain,
% 8.96/6.43 (~xuntil6(s86)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[10046, 16566])).
% 8.96/6.43 tff(16568,plain,
% 8.96/6.43 (~until5(s86)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[10040, 36, 16567, 16563])).
% 8.96/6.43 tff(16569,plain,
% 8.96/6.43 (~xuntil6(s85)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[10029, 16568])).
% 8.96/6.43 tff(16570,plain,
% 8.96/6.43 (~always3(s85)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9230, 16562])).
% 8.96/6.43 tff(16571,plain,
% 8.96/6.43 (~node4(s85)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[10016, 22, 16570])).
% 8.96/6.43 tff(16572,plain,
% 8.96/6.43 (xuntil6(s85) | (~until5(s85))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[10023, 36, 16571])).
% 8.96/6.43 tff(16573,plain,
% 8.96/6.43 (~until5(s85)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16572, 16569])).
% 8.96/6.43 tff(16574,plain,
% 8.96/6.43 (~xuntil6(s84)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[10012, 16573])).
% 8.96/6.43 tff(16575,plain,
% 8.96/6.43 (~always3(s84)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9242, 16570])).
% 8.96/6.43 tff(16576,plain,
% 8.96/6.43 (~node4(s84)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9999, 22, 16575])).
% 8.96/6.43 tff(16577,plain,
% 8.96/6.43 (xuntil6(s84) | (~until5(s84))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[10006, 36, 16576])).
% 8.96/6.43 tff(16578,plain,
% 8.96/6.43 (~until5(s84)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16577, 16574])).
% 8.96/6.43 tff(16579,plain,
% 8.96/6.43 (~xuntil6(s83)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9995, 16578])).
% 8.96/6.43 tff(16580,plain,
% 8.96/6.43 (~always3(s83)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9254, 16575])).
% 8.96/6.43 tff(16581,plain,
% 8.96/6.43 (~node4(s83)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9982, 22, 16580])).
% 8.96/6.43 tff(16582,plain,
% 8.96/6.43 (xuntil6(s83) | (~until5(s83))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9989, 36, 16581])).
% 8.96/6.43 tff(16583,plain,
% 8.96/6.43 (~until5(s83)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16582, 16579])).
% 8.96/6.43 tff(16584,plain,
% 8.96/6.43 (~xuntil6(s82)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9978, 16583])).
% 8.96/6.43 tff(16585,plain,
% 8.96/6.43 (~always3(s82)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9266, 16580])).
% 8.96/6.43 tff(16586,plain,
% 8.96/6.43 (~node4(s82)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9965, 22, 16585])).
% 8.96/6.43 tff(16587,plain,
% 8.96/6.43 (xuntil6(s82) | (~until5(s82))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9972, 36, 16586])).
% 8.96/6.43 tff(16588,plain,
% 8.96/6.43 (~until5(s82)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16587, 16584])).
% 8.96/6.43 tff(16589,plain,
% 8.96/6.43 (~xuntil6(s81)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9961, 16588])).
% 8.96/6.43 tff(16590,plain,
% 8.96/6.43 (~always3(s81)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9278, 16585])).
% 8.96/6.43 tff(16591,plain,
% 8.96/6.43 (~node4(s81)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9948, 22, 16590])).
% 8.96/6.43 tff(16592,plain,
% 8.96/6.43 (xuntil6(s81) | (~until5(s81))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9955, 36, 16591])).
% 8.96/6.43 tff(16593,plain,
% 8.96/6.43 (~until5(s81)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16592, 16589])).
% 8.96/6.43 tff(16594,plain,
% 8.96/6.43 (~xuntil6(s80)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9944, 16593])).
% 8.96/6.43 tff(16595,plain,
% 8.96/6.43 (~always3(s80)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9290, 16590])).
% 8.96/6.43 tff(16596,plain,
% 8.96/6.43 (~node4(s80)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9931, 22, 16595])).
% 8.96/6.43 tff(16597,plain,
% 8.96/6.43 (xuntil6(s80) | (~until5(s80))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9938, 36, 16596])).
% 8.96/6.43 tff(16598,plain,
% 8.96/6.43 (~until5(s80)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16597, 16594])).
% 8.96/6.43 tff(16599,plain,
% 8.96/6.43 (~xuntil6(s79)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9927, 16598])).
% 8.96/6.43 tff(16600,plain,
% 8.96/6.43 (~always3(s79)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9302, 16595])).
% 8.96/6.43 tff(16601,plain,
% 8.96/6.43 (~node4(s79)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9914, 22, 16600])).
% 8.96/6.43 tff(16602,plain,
% 8.96/6.43 (xuntil6(s79) | (~until5(s79))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9921, 36, 16601])).
% 8.96/6.43 tff(16603,plain,
% 8.96/6.43 (~until5(s79)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16602, 16599])).
% 8.96/6.43 tff(16604,plain,
% 8.96/6.43 (~xuntil6(s78)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9910, 16603])).
% 8.96/6.43 tff(16605,plain,
% 8.96/6.43 (~always3(s78)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9314, 16600])).
% 8.96/6.43 tff(16606,plain,
% 8.96/6.43 (~node4(s78)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9897, 22, 16605])).
% 8.96/6.43 tff(16607,plain,
% 8.96/6.43 (xuntil6(s78) | (~until5(s78))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9904, 36, 16606])).
% 8.96/6.43 tff(16608,plain,
% 8.96/6.43 (~until5(s78)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16607, 16604])).
% 8.96/6.43 tff(16609,plain,
% 8.96/6.43 (~xuntil6(s77)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9893, 16608])).
% 8.96/6.43 tff(16610,plain,
% 8.96/6.43 (~always3(s77)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9326, 16605])).
% 8.96/6.43 tff(16611,plain,
% 8.96/6.43 (~node4(s77)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9880, 22, 16610])).
% 8.96/6.43 tff(16612,plain,
% 8.96/6.43 (xuntil6(s77) | (~until5(s77))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9887, 36, 16611])).
% 8.96/6.43 tff(16613,plain,
% 8.96/6.43 (~until5(s77)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16612, 16609])).
% 8.96/6.43 tff(16614,plain,
% 8.96/6.43 (~xuntil6(s76)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9876, 16613])).
% 8.96/6.43 tff(16615,plain,
% 8.96/6.43 (~always3(s76)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9338, 16610])).
% 8.96/6.43 tff(16616,plain,
% 8.96/6.43 (~node4(s76)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9863, 22, 16615])).
% 8.96/6.43 tff(16617,plain,
% 8.96/6.43 (xuntil6(s76) | (~until5(s76))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9870, 36, 16616])).
% 8.96/6.43 tff(16618,plain,
% 8.96/6.43 (~until5(s76)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16617, 16614])).
% 8.96/6.43 tff(16619,plain,
% 8.96/6.43 (~xuntil6(s75)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9859, 16618])).
% 8.96/6.43 tff(16620,plain,
% 8.96/6.43 (~always3(s75)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9350, 16615])).
% 8.96/6.43 tff(16621,plain,
% 8.96/6.43 (~node4(s75)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9846, 22, 16620])).
% 8.96/6.43 tff(16622,plain,
% 8.96/6.43 (xuntil6(s75) | (~until5(s75))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9853, 36, 16621])).
% 8.96/6.43 tff(16623,plain,
% 8.96/6.43 (~until5(s75)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16622, 16619])).
% 8.96/6.43 tff(16624,plain,
% 8.96/6.43 (~xuntil6(s74)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9842, 16623])).
% 8.96/6.43 tff(16625,plain,
% 8.96/6.43 (~always3(s74)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9362, 16620])).
% 8.96/6.43 tff(16626,plain,
% 8.96/6.43 (~node4(s74)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9829, 22, 16625])).
% 8.96/6.43 tff(16627,plain,
% 8.96/6.43 (xuntil6(s74) | (~until5(s74))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9836, 36, 16626])).
% 8.96/6.43 tff(16628,plain,
% 8.96/6.43 (~until5(s74)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16627, 16624])).
% 8.96/6.43 tff(16629,plain,
% 8.96/6.43 (~xuntil6(s73)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9825, 16628])).
% 8.96/6.43 tff(16630,plain,
% 8.96/6.43 (~always3(s73)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9374, 16625])).
% 8.96/6.43 tff(16631,plain,
% 8.96/6.43 (~always3(s72)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9386, 16630])).
% 8.96/6.43 tff(16632,plain,
% 8.96/6.43 (~always3(s71)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9398, 16631])).
% 8.96/6.43 tff(16633,plain,
% 8.96/6.43 (~always3(s70)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9410, 16632])).
% 8.96/6.43 tff(16634,plain,
% 8.96/6.43 (~always3(s69)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9422, 16633])).
% 8.96/6.43 tff(16635,plain,
% 8.96/6.43 (~always3(s68)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9434, 16634])).
% 8.96/6.43 tff(16636,plain,
% 8.96/6.43 (~always3(s67)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9446, 16635])).
% 8.96/6.43 tff(16637,plain,
% 8.96/6.43 (~always3(s66)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9458, 16636])).
% 8.96/6.43 tff(16638,plain,
% 8.96/6.43 (~always3(s65)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9470, 16637])).
% 8.96/6.43 tff(16639,plain,
% 8.96/6.43 (~always3(s64)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9482, 16638])).
% 8.96/6.43 tff(16640,plain,
% 8.96/6.43 (~always3(s63)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9494, 16639])).
% 8.96/6.43 tff(16641,plain,
% 8.96/6.43 (~always3(s62)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9506, 16640])).
% 8.96/6.43 tff(16642,plain,
% 8.96/6.43 (~always3(s61)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9518, 16641])).
% 8.96/6.43 tff(16643,plain,
% 8.96/6.43 (~always3(s60)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9530, 16642])).
% 8.96/6.43 tff(16644,plain,
% 8.96/6.43 (~node4(s60)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9591, 22, 16643])).
% 8.96/6.43 tff(16645,plain,
% 8.96/6.43 (~always3(s59)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9542, 16643])).
% 8.96/6.43 tff(16646,plain,
% 8.96/6.43 (~node4(s59)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9546, 22, 16645])).
% 8.96/6.43 tff(16647,plain,
% 8.96/6.43 (xuntil6(s59)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[14954, 16646])).
% 8.96/6.43 tff(16648,plain,
% 8.96/6.43 (until5(s60)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9587, 16647])).
% 8.96/6.43 tff(16649,plain,
% 8.96/6.43 (xuntil6(s60)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9598, 36, 16648, 16644])).
% 8.96/6.43 tff(16650,plain,
% 8.96/6.43 (until5(s61)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9604, 16649])).
% 8.96/6.43 tff(16651,plain,
% 8.96/6.43 (~node4(s61)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9608, 22, 16642])).
% 8.96/6.43 tff(16652,plain,
% 8.96/6.43 (xuntil6(s61) | (~until5(s61))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9615, 36, 16651])).
% 8.96/6.43 tff(16653,plain,
% 8.96/6.43 (xuntil6(s61)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16652, 16650])).
% 8.96/6.43 tff(16654,plain,
% 8.96/6.43 (until5(s62)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9621, 16653])).
% 8.96/6.43 tff(16655,plain,
% 8.96/6.43 (~node4(s62)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9625, 22, 16641])).
% 8.96/6.43 tff(16656,plain,
% 8.96/6.43 (xuntil6(s62) | (~until5(s62))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9632, 36, 16655])).
% 8.96/6.43 tff(16657,plain,
% 8.96/6.43 (xuntil6(s62)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16656, 16654])).
% 8.96/6.43 tff(16658,plain,
% 8.96/6.43 (until5(s63)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9638, 16657])).
% 8.96/6.43 tff(16659,plain,
% 8.96/6.43 (~node4(s63)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9642, 22, 16640])).
% 8.96/6.43 tff(16660,plain,
% 8.96/6.43 (xuntil6(s63) | (~until5(s63))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9649, 36, 16659])).
% 8.96/6.43 tff(16661,plain,
% 8.96/6.43 (xuntil6(s63)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16660, 16658])).
% 8.96/6.43 tff(16662,plain,
% 8.96/6.43 (until5(s64)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9655, 16661])).
% 8.96/6.43 tff(16663,plain,
% 8.96/6.43 (~node4(s64)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9659, 22, 16639])).
% 8.96/6.43 tff(16664,plain,
% 8.96/6.43 (xuntil6(s64) | (~until5(s64))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9666, 36, 16663])).
% 8.96/6.43 tff(16665,plain,
% 8.96/6.43 (xuntil6(s64)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16664, 16662])).
% 8.96/6.43 tff(16666,plain,
% 8.96/6.43 (until5(s65)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9672, 16665])).
% 8.96/6.43 tff(16667,plain,
% 8.96/6.43 (~node4(s65)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9676, 22, 16638])).
% 8.96/6.43 tff(16668,plain,
% 8.96/6.43 (xuntil6(s65) | (~until5(s65))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9683, 36, 16667])).
% 8.96/6.43 tff(16669,plain,
% 8.96/6.43 (xuntil6(s65)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16668, 16666])).
% 8.96/6.43 tff(16670,plain,
% 8.96/6.43 (until5(s66)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9689, 16669])).
% 8.96/6.43 tff(16671,plain,
% 8.96/6.43 (~node4(s66)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9693, 22, 16637])).
% 8.96/6.43 tff(16672,plain,
% 8.96/6.43 (xuntil6(s66) | (~until5(s66))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9700, 36, 16671])).
% 8.96/6.43 tff(16673,plain,
% 8.96/6.43 (xuntil6(s66)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16672, 16670])).
% 8.96/6.43 tff(16674,plain,
% 8.96/6.43 (until5(s67)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9706, 16673])).
% 8.96/6.43 tff(16675,plain,
% 8.96/6.43 (~node4(s67)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9710, 22, 16636])).
% 8.96/6.43 tff(16676,plain,
% 8.96/6.43 (xuntil6(s67) | (~until5(s67))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9717, 36, 16675])).
% 8.96/6.43 tff(16677,plain,
% 8.96/6.43 (xuntil6(s67)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16676, 16674])).
% 8.96/6.43 tff(16678,plain,
% 8.96/6.43 (until5(s68)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9723, 16677])).
% 8.96/6.43 tff(16679,plain,
% 8.96/6.43 (~node4(s68)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9727, 22, 16635])).
% 8.96/6.43 tff(16680,plain,
% 8.96/6.43 (xuntil6(s68) | (~until5(s68))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9734, 36, 16679])).
% 8.96/6.43 tff(16681,plain,
% 8.96/6.43 (xuntil6(s68)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16680, 16678])).
% 8.96/6.43 tff(16682,plain,
% 8.96/6.43 (until5(s69)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9740, 16681])).
% 8.96/6.43 tff(16683,plain,
% 8.96/6.43 (~node4(s69)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9744, 22, 16634])).
% 8.96/6.43 tff(16684,plain,
% 8.96/6.43 (xuntil6(s69) | (~until5(s69))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9751, 36, 16683])).
% 8.96/6.43 tff(16685,plain,
% 8.96/6.43 (xuntil6(s69)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16684, 16682])).
% 8.96/6.43 tff(16686,plain,
% 8.96/6.43 (until5(s70)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9757, 16685])).
% 8.96/6.43 tff(16687,plain,
% 8.96/6.43 (~node4(s70)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9761, 22, 16633])).
% 8.96/6.43 tff(16688,plain,
% 8.96/6.43 (xuntil6(s70) | (~until5(s70))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9768, 36, 16687])).
% 8.96/6.43 tff(16689,plain,
% 8.96/6.43 (xuntil6(s70)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16688, 16686])).
% 8.96/6.43 tff(16690,plain,
% 8.96/6.43 (until5(s71)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9774, 16689])).
% 8.96/6.43 tff(16691,plain,
% 8.96/6.43 (~node4(s71)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9778, 22, 16632])).
% 8.96/6.43 tff(16692,plain,
% 8.96/6.43 (xuntil6(s71) | (~until5(s71))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9785, 36, 16691])).
% 8.96/6.43 tff(16693,plain,
% 8.96/6.43 (xuntil6(s71)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16692, 16690])).
% 8.96/6.43 tff(16694,plain,
% 8.96/6.43 (until5(s72)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9791, 16693])).
% 8.96/6.43 tff(16695,plain,
% 8.96/6.43 (~node4(s72)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9795, 22, 16631])).
% 8.96/6.43 tff(16696,plain,
% 8.96/6.43 (xuntil6(s72) | (~until5(s72))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9802, 36, 16695])).
% 8.96/6.43 tff(16697,plain,
% 8.96/6.43 (xuntil6(s72)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16696, 16694])).
% 8.96/6.43 tff(16698,plain,
% 8.96/6.43 (until5(s73)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9808, 16697])).
% 8.96/6.43 tff(16699,plain,
% 8.96/6.43 (~node4(s73)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9812, 22, 16630])).
% 8.96/6.43 tff(16700,plain,
% 8.96/6.43 (xuntil6(s73) | (~until5(s73))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9819, 36, 16699])).
% 8.96/6.43 tff(16701,plain,
% 8.96/6.43 ($false),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16700, 16698, 16629])).
% 8.96/6.43 tff(16702,plain,(always3(s87) | (~until5(s59)) | xuntil6(s87)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.43 tff(16703,plain,
% 8.96/6.43 (~until5(s59)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16702, 16561, 16560])).
% 8.96/6.43 tff(16704,plain,
% 8.96/6.43 (~xuntil6(s58)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9575, 16703])).
% 8.96/6.43 tff(16705,plain,
% 8.96/6.43 (node4(s58)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9570, 16704])).
% 8.96/6.43 tff(16706,plain,
% 8.96/6.43 (~always3(s58)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9558, 16645])).
% 8.96/6.43 tff(16707,plain,
% 8.96/6.43 ($false),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9562, 22, 16706, 16705])).
% 8.96/6.43 tff(16708,plain,(always3(s87) | (~until5(s58)) | xuntil6(s87)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.43 tff(16709,plain,
% 8.96/6.43 (always3(s87)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16708, 16560, 5071])).
% 8.96/6.43 tff(16710,plain,
% 8.96/6.43 (always3(s88)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[9206, 16709])).
% 8.96/6.43 tff(16711,plain,
% 8.96/6.43 (((~![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)))),
% 8.96/6.43 inference(rewrite,[status(thm)],[])).
% 8.96/6.43 tff(16712,plain,
% 8.96/6.43 (((~m_main_v_state(s88, c_busy)) | (~always3(s88))) <=> ((~always3(s88)) | (~m_main_v_state(s88, c_busy)))),
% 8.96/6.43 inference(rewrite,[status(thm)],[])).
% 8.96/6.43 tff(16713,plain,
% 8.96/6.43 (((~![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))))),
% 8.96/6.43 inference(monotonicity,[status(thm)],[16712])).
% 8.96/6.43 tff(16714,plain,
% 8.96/6.43 (((~![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)))),
% 8.96/6.43 inference(transitivity,[status(thm)],[16713, 16711])).
% 8.96/6.43 tff(16715,plain,
% 8.96/6.43 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s88, c_busy)) | (~always3(s88)))),
% 8.96/6.43 inference(quant_inst,[status(thm)],[])).
% 8.96/6.43 tff(16716,plain,
% 8.96/6.43 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s88)) | (~m_main_v_state(s88, c_busy))),
% 8.96/6.43 inference(modus_ponens,[status(thm)],[16715, 16714])).
% 8.96/6.43 tff(16717,plain,
% 8.96/6.43 (~m_main_v_state(s88, c_busy)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16716, 170, 16710])).
% 8.96/6.43 tff(16718,assumption,(until5(s87)), introduced(assumption)).
% 8.96/6.43 tff(16719,plain,
% 8.96/6.43 (xuntil6(s87) | node4(s87)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[10057, 36, 16718])).
% 8.96/6.43 tff(16720,plain,
% 8.96/6.43 (node4(s87)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16719, 16560])).
% 8.96/6.43 tff(16721,plain,
% 8.96/6.43 (((~![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)))),
% 8.96/6.43 inference(rewrite,[status(thm)],[])).
% 8.96/6.43 tff(16722,plain,
% 8.96/6.43 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s87) | (~node4(s87)))),
% 8.96/6.43 inference(quant_inst,[status(thm)],[])).
% 8.96/6.43 tff(16723,plain,
% 8.96/6.43 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s87) | (~node4(s87))),
% 8.96/6.43 inference(modus_ponens,[status(thm)],[16722, 16721])).
% 8.96/6.43 tff(16724,plain,
% 8.96/6.43 (m_main_v_request(s87)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16723, 154, 16720])).
% 8.96/6.43 tff(16725,plain,
% 8.96/6.43 (((~![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))),
% 8.96/6.43 inference(rewrite,[status(thm)],[])).
% 8.96/6.43 tff(16726,plain,
% 8.96/6.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s87, s88)) | node2(s87, s88))),
% 8.96/6.43 inference(quant_inst,[status(thm)],[])).
% 8.96/6.43 tff(16727,plain,
% 8.96/6.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s87, s88)) | node2(s87, s88)),
% 8.96/6.43 inference(modus_ponens,[status(thm)],[16726, 16725])).
% 8.96/6.43 tff(16728,plain,
% 8.96/6.43 (node2(s87, s88)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16727, 7, 9202])).
% 8.96/6.43 tff(16729,plain,
% 8.96/6.43 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.96/6.43 inference(rewrite,[status(thm)],[])).
% 8.96/6.43 tff(16730,plain,
% 8.96/6.43 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.96/6.43 inference(quant_inst,[status(thm)],[])).
% 8.96/6.43 tff(16731,plain,
% 8.96/6.43 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.96/6.43 inference(modus_ponens,[status(thm)],[16730, 16729])).
% 8.96/6.43 tff(16732,plain,
% 8.96/6.43 ((~m_main_v_state(s87, c_ready)) | m_main_v_state(s88, c_busy) | (~m_main_v_request(s87))),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16731, 191, 16728])).
% 8.96/6.43 tff(16733,plain,
% 8.96/6.43 (~m_main_v_state(s87, c_ready)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16732, 16724, 16717])).
% 8.96/6.43 tff(16734,plain,
% 8.96/6.43 (((~![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))),
% 8.96/6.43 inference(rewrite,[status(thm)],[])).
% 8.96/6.43 tff(16735,plain,
% 8.96/6.43 ((~![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))),
% 8.96/6.43 inference(quant_inst,[status(thm)],[])).
% 8.96/6.43 tff(16736,plain,
% 8.96/6.43 ((~![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)),
% 8.96/6.43 inference(modus_ponens,[status(thm)],[16735, 16734])).
% 8.96/6.43 tff(16737,plain,
% 8.96/6.43 (m_main_v_state(s87, c_busy)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16736, 213, 16733])).
% 8.96/6.43 tff(16738,plain,
% 8.96/6.43 (((~![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)))),
% 8.96/6.43 inference(rewrite,[status(thm)],[])).
% 8.96/6.43 tff(16739,plain,
% 8.96/6.43 (((~m_main_v_state(s87, c_busy)) | (~always3(s87))) <=> ((~always3(s87)) | (~m_main_v_state(s87, c_busy)))),
% 8.96/6.43 inference(rewrite,[status(thm)],[])).
% 8.96/6.43 tff(16740,plain,
% 8.96/6.43 (((~![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))))),
% 8.96/6.43 inference(monotonicity,[status(thm)],[16739])).
% 8.96/6.43 tff(16741,plain,
% 8.96/6.43 (((~![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)))),
% 8.96/6.43 inference(transitivity,[status(thm)],[16740, 16738])).
% 8.96/6.43 tff(16742,plain,
% 8.96/6.43 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s87, c_busy)) | (~always3(s87)))),
% 8.96/6.43 inference(quant_inst,[status(thm)],[])).
% 8.96/6.43 tff(16743,plain,
% 8.96/6.43 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s87)) | (~m_main_v_state(s87, c_busy))),
% 8.96/6.43 inference(modus_ponens,[status(thm)],[16742, 16741])).
% 8.96/6.43 tff(16744,plain,
% 8.96/6.43 ($false),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16743, 170, 16709, 16737])).
% 8.96/6.43 tff(16745,plain,(xuntil6(s87) | (~until5(s87))), inference(lemma,lemma(discharge,[]))).
% 8.96/6.43 tff(16746,plain,
% 8.96/6.43 (~until5(s87)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16745, 16560])).
% 8.96/6.43 tff(16747,plain,
% 8.96/6.43 (~xuntil6(s86)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[10046, 16746])).
% 8.96/6.43 tff(16748,assumption,(until5(s86)), introduced(assumption)).
% 8.96/6.43 tff(16749,plain,
% 8.96/6.43 (xuntil6(s86) | node4(s86)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[10040, 36, 16748])).
% 8.96/6.43 tff(16750,plain,
% 8.96/6.43 (node4(s86)),
% 8.96/6.43 inference(unit_resolution,[status(thm)],[16749, 16747])).
% 8.96/6.43 tff(16751,assumption,(~m_main_v_state(s87, c_busy)), introduced(assumption)).
% 8.96/6.44 tff(16752,assumption,(node4(s86)), introduced(assumption)).
% 8.96/6.44 tff(16753,plain,
% 8.96/6.44 (((~![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)))),
% 8.96/6.44 inference(rewrite,[status(thm)],[])).
% 8.96/6.44 tff(16754,plain,
% 8.96/6.44 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s86) | (~node4(s86)))),
% 8.96/6.44 inference(quant_inst,[status(thm)],[])).
% 8.96/6.44 tff(16755,plain,
% 8.96/6.44 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s86) | (~node4(s86))),
% 8.96/6.44 inference(modus_ponens,[status(thm)],[16754, 16753])).
% 8.96/6.44 tff(16756,plain,
% 8.96/6.44 (m_main_v_request(s86)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16755, 154, 16752])).
% 8.96/6.44 tff(16757,plain,
% 8.96/6.44 (((~![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))),
% 8.96/6.44 inference(rewrite,[status(thm)],[])).
% 8.96/6.44 tff(16758,plain,
% 8.96/6.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s86, s87)) | node2(s86, s87))),
% 8.96/6.44 inference(quant_inst,[status(thm)],[])).
% 8.96/6.44 tff(16759,plain,
% 8.96/6.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s86, s87)) | node2(s86, s87)),
% 8.96/6.44 inference(modus_ponens,[status(thm)],[16758, 16757])).
% 8.96/6.44 tff(16760,plain,
% 8.96/6.44 (node2(s86, s87)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16759, 7, 9214])).
% 8.96/6.44 tff(16761,plain,
% 8.96/6.44 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.96/6.44 inference(rewrite,[status(thm)],[])).
% 8.96/6.44 tff(16762,plain,
% 8.96/6.44 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.96/6.44 inference(quant_inst,[status(thm)],[])).
% 8.96/6.44 tff(16763,plain,
% 8.96/6.44 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.96/6.44 inference(modus_ponens,[status(thm)],[16762, 16761])).
% 8.96/6.44 tff(16764,plain,
% 8.96/6.44 ((~m_main_v_state(s86, c_ready)) | m_main_v_state(s87, c_busy) | (~m_main_v_request(s86))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16763, 191, 16760])).
% 8.96/6.44 tff(16765,plain,
% 8.96/6.44 (~m_main_v_state(s86, c_ready)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16764, 16756, 16751])).
% 8.96/6.44 tff(16766,plain,
% 8.96/6.44 (always3(s86)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10033, 22, 16752])).
% 8.96/6.44 tff(16767,plain,
% 8.96/6.44 (~m_main_v_state(s86, c_busy)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[15021, 170, 16766])).
% 8.96/6.44 tff(16768,plain,
% 8.96/6.44 (((~![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))),
% 8.96/6.44 inference(rewrite,[status(thm)],[])).
% 8.96/6.44 tff(16769,plain,
% 8.96/6.44 ((~![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))),
% 8.96/6.44 inference(quant_inst,[status(thm)],[])).
% 8.96/6.44 tff(16770,plain,
% 8.96/6.44 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s86, c_busy) | m_main_v_state(s86, c_ready)),
% 8.96/6.44 inference(modus_ponens,[status(thm)],[16769, 16768])).
% 8.96/6.44 tff(16771,plain,
% 8.96/6.44 ($false),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16770, 213, 16767, 16765])).
% 8.96/6.44 tff(16772,plain,((~node4(s86)) | m_main_v_state(s87, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.44 tff(16773,plain,
% 8.96/6.44 (m_main_v_state(s87, c_busy)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16772, 16750])).
% 8.96/6.44 tff(16774,plain,
% 8.96/6.44 ($false),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16743, 170, 16709, 16773])).
% 8.96/6.44 tff(16775,plain,(xuntil6(s87) | (~until5(s86))), inference(lemma,lemma(discharge,[]))).
% 8.96/6.44 tff(16776,plain,
% 8.96/6.44 (xuntil6(s87)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16775, 16559])).
% 8.96/6.44 tff(16777,plain,
% 8.96/6.44 (until5(s88)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10063, 16776])).
% 8.96/6.44 tff(16778,assumption,(~xuntil6(s112)), introduced(assumption)).
% 8.96/6.44 tff(16779,assumption,(~m_main_v_state(s113, c_busy)), introduced(assumption)).
% 8.96/6.44 tff(16780,assumption,(until5(s88)), introduced(assumption)).
% 8.96/6.44 tff(16781,assumption,(~always3(s102)), introduced(assumption)).
% 8.96/6.44 tff(16782,plain,
% 8.96/6.44 (~always3(s101)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9038, 16781])).
% 8.96/6.44 tff(16783,plain,
% 8.96/6.44 (~always3(s100)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9050, 16782])).
% 8.96/6.44 tff(16784,plain,
% 8.96/6.44 (~always3(s99)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9062, 16783])).
% 8.96/6.44 tff(16785,plain,
% 8.96/6.44 (~always3(s98)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9074, 16784])).
% 8.96/6.44 tff(16786,plain,
% 8.96/6.44 (~always3(s97)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9086, 16785])).
% 8.96/6.44 tff(16787,plain,
% 8.96/6.44 (~always3(s96)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9098, 16786])).
% 8.96/6.44 tff(16788,plain,
% 8.96/6.44 (~always3(s95)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9110, 16787])).
% 8.96/6.44 tff(16789,plain,
% 8.96/6.44 (~always3(s94)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9122, 16788])).
% 8.96/6.44 tff(16790,plain,
% 8.96/6.44 (~always3(s93)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9134, 16789])).
% 8.96/6.44 tff(16791,plain,
% 8.96/6.44 (~always3(s92)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9146, 16790])).
% 8.96/6.44 tff(16792,plain,
% 8.96/6.44 (~always3(s91)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9158, 16791])).
% 8.96/6.44 tff(16793,plain,
% 8.96/6.44 (~always3(s90)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9170, 16792])).
% 8.96/6.44 tff(16794,plain,
% 8.96/6.44 (~always3(s89)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9182, 16793])).
% 8.96/6.44 tff(16795,plain,
% 8.96/6.44 (~node4(s89)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10084, 22, 16794])).
% 8.96/6.44 tff(16796,plain,
% 8.96/6.44 (~always3(s88)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9194, 16794])).
% 8.96/6.44 tff(16797,plain,
% 8.96/6.44 (~node4(s88)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10067, 22, 16796])).
% 8.96/6.44 tff(16798,plain,
% 8.96/6.44 (xuntil6(s88) | node4(s88)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10074, 36, 16780])).
% 8.96/6.44 tff(16799,plain,
% 8.96/6.44 (xuntil6(s88)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16798, 16797])).
% 8.96/6.44 tff(16800,plain,
% 8.96/6.44 (until5(s89)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10080, 16799])).
% 8.96/6.44 tff(16801,plain,
% 8.96/6.44 (xuntil6(s89)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10091, 36, 16800, 16795])).
% 8.96/6.44 tff(16802,plain,
% 8.96/6.44 (until5(s90)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10097, 16801])).
% 8.96/6.44 tff(16803,assumption,(~always3(s112)), introduced(assumption)).
% 8.96/6.44 tff(16804,plain,
% 8.96/6.44 (~always3(s111)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[8918, 16803])).
% 8.96/6.44 tff(16805,plain,
% 8.96/6.44 (~always3(s110)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[8930, 16804])).
% 8.96/6.44 tff(16806,plain,
% 8.96/6.44 (~always3(s109)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[8942, 16805])).
% 8.96/6.44 tff(16807,plain,
% 8.96/6.44 (~always3(s108)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[8954, 16806])).
% 8.96/6.44 tff(16808,plain,
% 8.96/6.44 (~always3(s107)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[8966, 16807])).
% 8.96/6.44 tff(16809,plain,
% 8.96/6.44 (~always3(s106)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[8978, 16808])).
% 8.96/6.44 tff(16810,plain,
% 8.96/6.44 (~always3(s105)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[8990, 16809])).
% 8.96/6.44 tff(16811,plain,
% 8.96/6.44 (~always3(s104)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9002, 16810])).
% 8.96/6.44 tff(16812,plain,
% 8.96/6.44 (~always3(s103)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9014, 16811])).
% 8.96/6.44 tff(16813,plain,
% 8.96/6.44 (~always3(s102)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9026, 16812])).
% 8.96/6.44 tff(16814,plain,
% 8.96/6.44 (~always3(s101)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9038, 16813])).
% 8.96/6.44 tff(16815,plain,
% 8.96/6.44 (~always3(s100)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9050, 16814])).
% 8.96/6.44 tff(16816,plain,
% 8.96/6.44 (~always3(s99)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9062, 16815])).
% 8.96/6.44 tff(16817,plain,
% 8.96/6.44 (~always3(s98)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9074, 16816])).
% 8.96/6.44 tff(16818,plain,
% 8.96/6.44 (~always3(s97)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9086, 16817])).
% 8.96/6.44 tff(16819,plain,
% 8.96/6.44 (~always3(s96)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9098, 16818])).
% 8.96/6.44 tff(16820,plain,
% 8.96/6.44 (~always3(s95)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9110, 16819])).
% 8.96/6.44 tff(16821,plain,
% 8.96/6.44 (~always3(s94)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9122, 16820])).
% 8.96/6.44 tff(16822,plain,
% 8.96/6.44 (~always3(s93)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9134, 16821])).
% 8.96/6.44 tff(16823,plain,
% 8.96/6.44 (~always3(s92)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9146, 16822])).
% 8.96/6.44 tff(16824,plain,
% 8.96/6.44 (~always3(s91)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9158, 16823])).
% 8.96/6.44 tff(16825,plain,
% 8.96/6.44 (~node4(s91)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10118, 22, 16824])).
% 8.96/6.44 tff(16826,plain,
% 8.96/6.44 (~always3(s90)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9170, 16824])).
% 8.96/6.44 tff(16827,plain,
% 8.96/6.44 (~node4(s90)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10101, 22, 16826])).
% 8.96/6.44 tff(16828,assumption,(until5(s90)), introduced(assumption)).
% 8.96/6.44 tff(16829,plain,
% 8.96/6.44 (xuntil6(s90) | node4(s90)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10108, 36, 16828])).
% 8.96/6.44 tff(16830,plain,
% 8.96/6.44 (xuntil6(s90)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16829, 16827])).
% 8.96/6.44 tff(16831,plain,
% 8.96/6.44 (until5(s91)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10114, 16830])).
% 8.96/6.44 tff(16832,plain,
% 8.96/6.44 (xuntil6(s91)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10125, 36, 16831, 16825])).
% 8.96/6.44 tff(16833,plain,
% 8.96/6.44 (until5(s92)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10131, 16832])).
% 8.96/6.44 tff(16834,plain,
% 8.96/6.44 (~node4(s92)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10135, 22, 16823])).
% 8.96/6.44 tff(16835,plain,
% 8.96/6.44 (xuntil6(s92) | (~until5(s92))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10142, 36, 16834])).
% 8.96/6.44 tff(16836,plain,
% 8.96/6.44 (xuntil6(s92)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16835, 16833])).
% 8.96/6.44 tff(16837,plain,
% 8.96/6.44 (until5(s93)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10148, 16836])).
% 8.96/6.44 tff(16838,plain,
% 8.96/6.44 (~node4(s93)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10152, 22, 16822])).
% 8.96/6.44 tff(16839,plain,
% 8.96/6.44 (xuntil6(s93) | (~until5(s93))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10159, 36, 16838])).
% 8.96/6.44 tff(16840,plain,
% 8.96/6.44 (xuntil6(s93)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16839, 16837])).
% 8.96/6.44 tff(16841,plain,
% 8.96/6.44 (until5(s94)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10165, 16840])).
% 8.96/6.44 tff(16842,plain,
% 8.96/6.44 (~node4(s94)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10169, 22, 16821])).
% 8.96/6.44 tff(16843,plain,
% 8.96/6.44 (xuntil6(s94) | (~until5(s94))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10176, 36, 16842])).
% 8.96/6.44 tff(16844,plain,
% 8.96/6.44 (xuntil6(s94)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16843, 16841])).
% 8.96/6.44 tff(16845,plain,
% 8.96/6.44 (until5(s95)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10182, 16844])).
% 8.96/6.44 tff(16846,plain,
% 8.96/6.44 (~node4(s95)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10186, 22, 16820])).
% 8.96/6.44 tff(16847,plain,
% 8.96/6.44 (xuntil6(s95) | (~until5(s95))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10193, 36, 16846])).
% 8.96/6.44 tff(16848,plain,
% 8.96/6.44 (xuntil6(s95)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16847, 16845])).
% 8.96/6.44 tff(16849,plain,
% 8.96/6.44 (until5(s96)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10199, 16848])).
% 8.96/6.44 tff(16850,plain,
% 8.96/6.44 (~node4(s96)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10203, 22, 16819])).
% 8.96/6.44 tff(16851,plain,
% 8.96/6.44 (xuntil6(s96) | (~until5(s96))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10210, 36, 16850])).
% 8.96/6.44 tff(16852,plain,
% 8.96/6.44 (xuntil6(s96)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16851, 16849])).
% 8.96/6.44 tff(16853,plain,
% 8.96/6.44 (until5(s97)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10216, 16852])).
% 8.96/6.44 tff(16854,plain,
% 8.96/6.44 (~node4(s97)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10220, 22, 16818])).
% 8.96/6.44 tff(16855,plain,
% 8.96/6.44 (xuntil6(s97) | (~until5(s97))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10227, 36, 16854])).
% 8.96/6.44 tff(16856,plain,
% 8.96/6.44 (xuntil6(s97)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16855, 16853])).
% 8.96/6.44 tff(16857,plain,
% 8.96/6.44 (until5(s98)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10233, 16856])).
% 8.96/6.44 tff(16858,plain,
% 8.96/6.44 (~node4(s98)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10237, 22, 16817])).
% 8.96/6.44 tff(16859,plain,
% 8.96/6.44 (xuntil6(s98) | (~until5(s98))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10244, 36, 16858])).
% 8.96/6.44 tff(16860,plain,
% 8.96/6.44 (xuntil6(s98)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16859, 16857])).
% 8.96/6.44 tff(16861,plain,
% 8.96/6.44 (until5(s99)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10250, 16860])).
% 8.96/6.44 tff(16862,plain,
% 8.96/6.44 (~node4(s99)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10254, 22, 16816])).
% 8.96/6.44 tff(16863,plain,
% 8.96/6.44 (xuntil6(s99) | (~until5(s99))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10261, 36, 16862])).
% 8.96/6.44 tff(16864,plain,
% 8.96/6.44 (xuntil6(s99)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16863, 16861])).
% 8.96/6.44 tff(16865,plain,
% 8.96/6.44 (until5(s100)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10267, 16864])).
% 8.96/6.44 tff(16866,plain,
% 8.96/6.44 (~node4(s100)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10271, 22, 16815])).
% 8.96/6.44 tff(16867,plain,
% 8.96/6.44 (xuntil6(s100) | (~until5(s100))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10278, 36, 16866])).
% 8.96/6.44 tff(16868,plain,
% 8.96/6.44 (xuntil6(s100)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16867, 16865])).
% 8.96/6.44 tff(16869,plain,
% 8.96/6.44 (until5(s101)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10284, 16868])).
% 8.96/6.44 tff(16870,plain,
% 8.96/6.44 (~node4(s101)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10288, 22, 16814])).
% 8.96/6.44 tff(16871,plain,
% 8.96/6.44 (xuntil6(s101) | (~until5(s101))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10295, 36, 16870])).
% 8.96/6.44 tff(16872,plain,
% 8.96/6.44 (xuntil6(s101)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16871, 16869])).
% 8.96/6.44 tff(16873,plain,
% 8.96/6.44 (until5(s102)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10301, 16872])).
% 8.96/6.44 tff(16874,plain,
% 8.96/6.44 (~node4(s102)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10305, 22, 16813])).
% 8.96/6.44 tff(16875,plain,
% 8.96/6.44 (xuntil6(s102) | (~until5(s102))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10312, 36, 16874])).
% 8.96/6.44 tff(16876,plain,
% 8.96/6.44 (xuntil6(s102)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16875, 16873])).
% 8.96/6.44 tff(16877,plain,
% 8.96/6.44 (until5(s103)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10318, 16876])).
% 8.96/6.44 tff(16878,plain,
% 8.96/6.44 (~node4(s103)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10322, 22, 16812])).
% 8.96/6.44 tff(16879,plain,
% 8.96/6.44 (xuntil6(s103) | (~until5(s103))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10329, 36, 16878])).
% 8.96/6.44 tff(16880,plain,
% 8.96/6.44 (xuntil6(s103)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16879, 16877])).
% 8.96/6.44 tff(16881,plain,
% 8.96/6.44 (until5(s104)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10335, 16880])).
% 8.96/6.44 tff(16882,plain,
% 8.96/6.44 (~node4(s104)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10339, 22, 16811])).
% 8.96/6.44 tff(16883,plain,
% 8.96/6.44 (xuntil6(s104) | (~until5(s104))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10346, 36, 16882])).
% 8.96/6.44 tff(16884,plain,
% 8.96/6.44 (xuntil6(s104)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16883, 16881])).
% 8.96/6.44 tff(16885,plain,
% 8.96/6.44 (until5(s105)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10352, 16884])).
% 8.96/6.44 tff(16886,plain,
% 8.96/6.44 (~node4(s105)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10356, 22, 16810])).
% 8.96/6.44 tff(16887,plain,
% 8.96/6.44 (xuntil6(s105) | (~until5(s105))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10363, 36, 16886])).
% 8.96/6.44 tff(16888,plain,
% 8.96/6.44 (xuntil6(s105)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16887, 16885])).
% 8.96/6.44 tff(16889,plain,
% 8.96/6.44 (until5(s106)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10369, 16888])).
% 8.96/6.44 tff(16890,plain,
% 8.96/6.44 (~node4(s106)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10373, 22, 16809])).
% 8.96/6.44 tff(16891,plain,
% 8.96/6.44 (xuntil6(s106) | (~until5(s106))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10380, 36, 16890])).
% 8.96/6.44 tff(16892,plain,
% 8.96/6.44 (xuntil6(s106)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16891, 16889])).
% 8.96/6.44 tff(16893,plain,
% 8.96/6.44 (until5(s107)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10386, 16892])).
% 8.96/6.44 tff(16894,plain,
% 8.96/6.44 (~node4(s107)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10390, 22, 16808])).
% 8.96/6.44 tff(16895,plain,
% 8.96/6.44 (xuntil6(s107) | (~until5(s107))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10397, 36, 16894])).
% 8.96/6.44 tff(16896,plain,
% 8.96/6.44 (xuntil6(s107)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16895, 16893])).
% 8.96/6.44 tff(16897,plain,
% 8.96/6.44 (until5(s108)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10403, 16896])).
% 8.96/6.44 tff(16898,plain,
% 8.96/6.44 (~node4(s108)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10407, 22, 16807])).
% 8.96/6.44 tff(16899,plain,
% 8.96/6.44 (xuntil6(s108) | (~until5(s108))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10414, 36, 16898])).
% 8.96/6.44 tff(16900,plain,
% 8.96/6.44 (xuntil6(s108)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16899, 16897])).
% 8.96/6.44 tff(16901,plain,
% 8.96/6.44 (until5(s109)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10420, 16900])).
% 8.96/6.44 tff(16902,plain,
% 8.96/6.44 (~node4(s109)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10424, 22, 16806])).
% 8.96/6.44 tff(16903,plain,
% 8.96/6.44 (xuntil6(s109) | (~until5(s109))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10431, 36, 16902])).
% 8.96/6.44 tff(16904,plain,
% 8.96/6.44 (xuntil6(s109)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16903, 16901])).
% 8.96/6.44 tff(16905,plain,
% 8.96/6.44 (until5(s110)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10437, 16904])).
% 8.96/6.44 tff(16906,plain,
% 8.96/6.44 (~node4(s110)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10441, 22, 16805])).
% 8.96/6.44 tff(16907,plain,
% 8.96/6.44 (xuntil6(s110) | (~until5(s110))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10448, 36, 16906])).
% 8.96/6.44 tff(16908,plain,
% 8.96/6.44 (xuntil6(s110)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16907, 16905])).
% 8.96/6.44 tff(16909,plain,
% 8.96/6.44 (until5(s111)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10454, 16908])).
% 8.96/6.44 tff(16910,plain,
% 8.96/6.44 (~node4(s111)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10458, 22, 16804])).
% 8.96/6.44 tff(16911,plain,
% 8.96/6.44 (xuntil6(s111) | (~until5(s111))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10465, 36, 16910])).
% 8.96/6.44 tff(16912,plain,
% 8.96/6.44 (xuntil6(s111)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16911, 16909])).
% 8.96/6.44 tff(16913,plain,
% 8.96/6.44 (until5(s112)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10471, 16912])).
% 8.96/6.44 tff(16914,plain,
% 8.96/6.44 (node4(s112) | (~until5(s112))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10482, 36, 16778])).
% 8.96/6.44 tff(16915,plain,
% 8.96/6.44 (node4(s112)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16914, 16913])).
% 8.96/6.44 tff(16916,plain,
% 8.96/6.44 ($false),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10475, 22, 16803, 16915])).
% 8.96/6.44 tff(16917,plain,(always3(s112) | xuntil6(s112) | (~until5(s90))), inference(lemma,lemma(discharge,[]))).
% 8.96/6.44 tff(16918,plain,
% 8.96/6.44 (always3(s112)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16917, 16802, 16778])).
% 8.96/6.44 tff(16919,plain,
% 8.96/6.44 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s112)) | (~m_main_v_state(s112, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s112)) | (~m_main_v_state(s112, c_busy)))),
% 8.96/6.44 inference(rewrite,[status(thm)],[])).
% 8.96/6.44 tff(16920,plain,
% 8.96/6.44 (((~m_main_v_state(s112, c_busy)) | (~always3(s112))) <=> ((~always3(s112)) | (~m_main_v_state(s112, c_busy)))),
% 8.96/6.44 inference(rewrite,[status(thm)],[])).
% 8.96/6.44 tff(16921,plain,
% 8.96/6.44 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s112, c_busy)) | (~always3(s112)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s112)) | (~m_main_v_state(s112, c_busy))))),
% 8.96/6.44 inference(monotonicity,[status(thm)],[16920])).
% 8.96/6.44 tff(16922,plain,
% 8.96/6.44 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s112, c_busy)) | (~always3(s112)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s112)) | (~m_main_v_state(s112, c_busy)))),
% 8.96/6.44 inference(transitivity,[status(thm)],[16921, 16919])).
% 8.96/6.44 tff(16923,plain,
% 8.96/6.44 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s112, c_busy)) | (~always3(s112)))),
% 8.96/6.44 inference(quant_inst,[status(thm)],[])).
% 8.96/6.44 tff(16924,plain,
% 8.96/6.44 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s112)) | (~m_main_v_state(s112, c_busy))),
% 8.96/6.44 inference(modus_ponens,[status(thm)],[16923, 16922])).
% 8.96/6.44 tff(16925,plain,
% 8.96/6.44 (~m_main_v_state(s112, c_busy)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16924, 170, 16918])).
% 8.96/6.44 tff(16926,plain,
% 8.96/6.44 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s112, c_busy) | m_main_v_state(s112, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s112, c_busy) | m_main_v_state(s112, c_ready))),
% 8.96/6.44 inference(rewrite,[status(thm)],[])).
% 8.96/6.44 tff(16927,plain,
% 8.96/6.44 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s112, c_busy) | m_main_v_state(s112, c_ready))),
% 8.96/6.44 inference(quant_inst,[status(thm)],[])).
% 8.96/6.44 tff(16928,plain,
% 8.96/6.44 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s112, c_busy) | m_main_v_state(s112, c_ready)),
% 8.96/6.44 inference(modus_ponens,[status(thm)],[16927, 16926])).
% 8.96/6.44 tff(16929,plain,
% 8.96/6.44 (m_main_v_state(s112, c_ready)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16928, 213, 16925])).
% 8.96/6.44 tff(16930,plain,
% 8.96/6.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s112, s113)) | node2(s112, s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s112, s113)) | node2(s112, s113))),
% 8.96/6.44 inference(rewrite,[status(thm)],[])).
% 8.96/6.44 tff(16931,plain,
% 8.96/6.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s112, s113)) | node2(s112, s113))),
% 8.96/6.44 inference(quant_inst,[status(thm)],[])).
% 8.96/6.44 tff(16932,plain,
% 8.96/6.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s112, s113)) | node2(s112, s113)),
% 8.96/6.44 inference(modus_ponens,[status(thm)],[16931, 16930])).
% 8.96/6.44 tff(16933,plain,
% 8.96/6.44 (node2(s112, s113)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16932, 7, 8902])).
% 8.96/6.44 tff(16934,plain,
% 8.96/6.44 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s112, c_ready)) | (~node2(s112, s113)) | m_main_v_state(s113, c_busy) | (~m_main_v_request(s112)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s112, c_ready)) | (~node2(s112, s113)) | m_main_v_state(s113, c_busy) | (~m_main_v_request(s112)))),
% 8.96/6.44 inference(rewrite,[status(thm)],[])).
% 8.96/6.44 tff(16935,plain,
% 8.96/6.44 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s112, c_ready)) | (~node2(s112, s113)) | m_main_v_state(s113, c_busy) | (~m_main_v_request(s112)))),
% 8.96/6.44 inference(quant_inst,[status(thm)],[])).
% 8.96/6.44 tff(16936,plain,
% 8.96/6.44 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s112, c_ready)) | (~node2(s112, s113)) | m_main_v_state(s113, c_busy) | (~m_main_v_request(s112))),
% 8.96/6.44 inference(modus_ponens,[status(thm)],[16935, 16934])).
% 8.96/6.44 tff(16937,plain,
% 8.96/6.44 ((~m_main_v_state(s112, c_ready)) | m_main_v_state(s113, c_busy) | (~m_main_v_request(s112))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16936, 191, 16933])).
% 8.96/6.44 tff(16938,plain,
% 8.96/6.44 (~m_main_v_request(s112)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16937, 16929, 16779])).
% 8.96/6.44 tff(16939,plain,
% 8.96/6.44 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s112) | (~node4(s112)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s112) | (~node4(s112)))),
% 8.96/6.44 inference(rewrite,[status(thm)],[])).
% 8.96/6.44 tff(16940,plain,
% 8.96/6.44 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s112) | (~node4(s112)))),
% 8.96/6.44 inference(quant_inst,[status(thm)],[])).
% 8.96/6.44 tff(16941,plain,
% 8.96/6.44 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s112) | (~node4(s112))),
% 8.96/6.44 inference(modus_ponens,[status(thm)],[16940, 16939])).
% 8.96/6.44 tff(16942,plain,
% 8.96/6.44 (~node4(s112)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16941, 154, 16938])).
% 8.96/6.44 tff(16943,plain,
% 8.96/6.44 (~until5(s112)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16914, 16942])).
% 8.96/6.44 tff(16944,plain,
% 8.96/6.44 (~xuntil6(s111)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10471, 16943])).
% 8.96/6.44 tff(16945,assumption,(~xuntil6(s111)), introduced(assumption)).
% 8.96/6.44 tff(16946,assumption,(until5(s110)), introduced(assumption)).
% 8.96/6.44 tff(16947,assumption,(~always3(s111)), introduced(assumption)).
% 8.96/6.44 tff(16948,plain,
% 8.96/6.44 (~always3(s110)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[8930, 16947])).
% 8.96/6.44 tff(16949,plain,
% 8.96/6.44 (~node4(s110)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10441, 22, 16948])).
% 8.96/6.44 tff(16950,plain,
% 8.96/6.44 (xuntil6(s110) | node4(s110)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10448, 36, 16946])).
% 8.96/6.44 tff(16951,plain,
% 8.96/6.44 (xuntil6(s110)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16950, 16949])).
% 8.96/6.44 tff(16952,plain,
% 8.96/6.44 (until5(s111)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10454, 16951])).
% 8.96/6.44 tff(16953,plain,
% 8.96/6.44 (node4(s111) | (~until5(s111))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10465, 36, 16945])).
% 8.96/6.44 tff(16954,plain,
% 8.96/6.44 (node4(s111)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16953, 16952])).
% 8.96/6.44 tff(16955,plain,
% 8.96/6.44 ($false),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10458, 22, 16947, 16954])).
% 8.96/6.44 tff(16956,plain,(always3(s111) | xuntil6(s111) | (~until5(s110))), inference(lemma,lemma(discharge,[]))).
% 8.96/6.44 tff(16957,plain,
% 8.96/6.44 (always3(s111)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16956, 16946, 16945])).
% 8.96/6.44 tff(16958,plain,
% 8.96/6.44 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s111)) | (~m_main_v_state(s111, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s111)) | (~m_main_v_state(s111, c_busy)))),
% 8.96/6.44 inference(rewrite,[status(thm)],[])).
% 8.96/6.44 tff(16959,plain,
% 8.96/6.44 (((~m_main_v_state(s111, c_busy)) | (~always3(s111))) <=> ((~always3(s111)) | (~m_main_v_state(s111, c_busy)))),
% 8.96/6.44 inference(rewrite,[status(thm)],[])).
% 8.96/6.44 tff(16960,plain,
% 8.96/6.44 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s111, c_busy)) | (~always3(s111)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s111)) | (~m_main_v_state(s111, c_busy))))),
% 8.96/6.44 inference(monotonicity,[status(thm)],[16959])).
% 8.96/6.44 tff(16961,plain,
% 8.96/6.44 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s111, c_busy)) | (~always3(s111)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s111)) | (~m_main_v_state(s111, c_busy)))),
% 8.96/6.44 inference(transitivity,[status(thm)],[16960, 16958])).
% 8.96/6.44 tff(16962,plain,
% 8.96/6.44 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s111, c_busy)) | (~always3(s111)))),
% 8.96/6.44 inference(quant_inst,[status(thm)],[])).
% 8.96/6.44 tff(16963,plain,
% 8.96/6.44 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s111)) | (~m_main_v_state(s111, c_busy))),
% 8.96/6.44 inference(modus_ponens,[status(thm)],[16962, 16961])).
% 8.96/6.44 tff(16964,plain,
% 8.96/6.44 (~m_main_v_state(s111, c_busy)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16963, 170, 16957])).
% 8.96/6.44 tff(16965,assumption,(~m_main_v_state(s112, c_busy)), introduced(assumption)).
% 8.96/6.44 tff(16966,plain,
% 8.96/6.44 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s111, c_busy) | m_main_v_state(s111, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s111, c_busy) | m_main_v_state(s111, c_ready))),
% 8.96/6.44 inference(rewrite,[status(thm)],[])).
% 8.96/6.44 tff(16967,plain,
% 8.96/6.44 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s111, c_busy) | m_main_v_state(s111, c_ready))),
% 8.96/6.44 inference(quant_inst,[status(thm)],[])).
% 8.96/6.44 tff(16968,plain,
% 8.96/6.44 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s111, c_busy) | m_main_v_state(s111, c_ready)),
% 8.96/6.44 inference(modus_ponens,[status(thm)],[16967, 16966])).
% 8.96/6.44 tff(16969,plain,
% 8.96/6.44 (m_main_v_state(s111, c_ready)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16968, 213, 16964])).
% 8.96/6.44 tff(16970,plain,
% 8.96/6.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s111, s112)) | node2(s111, s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s111, s112)) | node2(s111, s112))),
% 8.96/6.44 inference(rewrite,[status(thm)],[])).
% 8.96/6.44 tff(16971,plain,
% 8.96/6.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s111, s112)) | node2(s111, s112))),
% 8.96/6.44 inference(quant_inst,[status(thm)],[])).
% 8.96/6.44 tff(16972,plain,
% 8.96/6.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s111, s112)) | node2(s111, s112)),
% 8.96/6.44 inference(modus_ponens,[status(thm)],[16971, 16970])).
% 8.96/6.44 tff(16973,plain,
% 8.96/6.44 (node2(s111, s112)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16972, 7, 8914])).
% 8.96/6.44 tff(16974,plain,
% 8.96/6.44 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s111, c_ready)) | (~node2(s111, s112)) | m_main_v_state(s112, c_busy) | (~m_main_v_request(s111)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s111, c_ready)) | (~node2(s111, s112)) | m_main_v_state(s112, c_busy) | (~m_main_v_request(s111)))),
% 8.96/6.44 inference(rewrite,[status(thm)],[])).
% 8.96/6.44 tff(16975,plain,
% 8.96/6.44 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s111, c_ready)) | (~node2(s111, s112)) | m_main_v_state(s112, c_busy) | (~m_main_v_request(s111)))),
% 8.96/6.44 inference(quant_inst,[status(thm)],[])).
% 8.96/6.44 tff(16976,plain,
% 8.96/6.44 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s111, c_ready)) | (~node2(s111, s112)) | m_main_v_state(s112, c_busy) | (~m_main_v_request(s111))),
% 8.96/6.44 inference(modus_ponens,[status(thm)],[16975, 16974])).
% 8.96/6.44 tff(16977,plain,
% 8.96/6.44 ((~m_main_v_state(s111, c_ready)) | m_main_v_state(s112, c_busy) | (~m_main_v_request(s111))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16976, 191, 16973])).
% 8.96/6.44 tff(16978,plain,
% 8.96/6.44 (~m_main_v_request(s111)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16977, 16969, 16965])).
% 8.96/6.44 tff(16979,plain,
% 8.96/6.44 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s111) | (~node4(s111)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s111) | (~node4(s111)))),
% 8.96/6.44 inference(rewrite,[status(thm)],[])).
% 8.96/6.44 tff(16980,plain,
% 8.96/6.44 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s111) | (~node4(s111)))),
% 8.96/6.44 inference(quant_inst,[status(thm)],[])).
% 8.96/6.44 tff(16981,plain,
% 8.96/6.44 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s111) | (~node4(s111))),
% 8.96/6.44 inference(modus_ponens,[status(thm)],[16980, 16979])).
% 8.96/6.44 tff(16982,plain,
% 8.96/6.44 (~node4(s111)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16981, 154, 16978])).
% 8.96/6.44 tff(16983,plain,
% 8.96/6.44 (~until5(s111)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16953, 16982])).
% 8.96/6.44 tff(16984,plain,
% 8.96/6.44 (~xuntil6(s110)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10454, 16983])).
% 8.96/6.44 tff(16985,plain,
% 8.96/6.44 (node4(s110)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16950, 16984])).
% 8.96/6.44 tff(16986,plain,
% 8.96/6.44 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s110) | (~node4(s110)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s110) | (~node4(s110)))),
% 8.96/6.44 inference(rewrite,[status(thm)],[])).
% 8.96/6.44 tff(16987,plain,
% 8.96/6.44 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s110) | (~node4(s110)))),
% 8.96/6.44 inference(quant_inst,[status(thm)],[])).
% 8.96/6.44 tff(16988,plain,
% 8.96/6.44 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s110) | (~node4(s110))),
% 8.96/6.44 inference(modus_ponens,[status(thm)],[16987, 16986])).
% 8.96/6.44 tff(16989,plain,
% 8.96/6.44 (m_main_v_request(s110)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16988, 154, 16985])).
% 8.96/6.44 tff(16990,plain,
% 8.96/6.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s110, s111)) | node2(s110, s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s110, s111)) | node2(s110, s111))),
% 8.96/6.44 inference(rewrite,[status(thm)],[])).
% 8.96/6.44 tff(16991,plain,
% 8.96/6.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s110, s111)) | node2(s110, s111))),
% 8.96/6.44 inference(quant_inst,[status(thm)],[])).
% 8.96/6.44 tff(16992,plain,
% 8.96/6.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s110, s111)) | node2(s110, s111)),
% 8.96/6.44 inference(modus_ponens,[status(thm)],[16991, 16990])).
% 8.96/6.44 tff(16993,plain,
% 8.96/6.44 (node2(s110, s111)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16992, 7, 8926])).
% 8.96/6.44 tff(16994,plain,
% 8.96/6.44 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s110, c_ready)) | (~node2(s110, s111)) | m_main_v_state(s111, c_busy) | (~m_main_v_request(s110)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s110, c_ready)) | (~node2(s110, s111)) | m_main_v_state(s111, c_busy) | (~m_main_v_request(s110)))),
% 8.96/6.44 inference(rewrite,[status(thm)],[])).
% 8.96/6.44 tff(16995,plain,
% 8.96/6.44 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s110, c_ready)) | (~node2(s110, s111)) | m_main_v_state(s111, c_busy) | (~m_main_v_request(s110)))),
% 8.96/6.44 inference(quant_inst,[status(thm)],[])).
% 8.96/6.44 tff(16996,plain,
% 8.96/6.44 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s110, c_ready)) | (~node2(s110, s111)) | m_main_v_state(s111, c_busy) | (~m_main_v_request(s110))),
% 8.96/6.44 inference(modus_ponens,[status(thm)],[16995, 16994])).
% 8.96/6.44 tff(16997,plain,
% 8.96/6.44 ((~m_main_v_state(s110, c_ready)) | m_main_v_state(s111, c_busy) | (~m_main_v_request(s110))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16996, 191, 16993])).
% 8.96/6.44 tff(16998,plain,
% 8.96/6.44 (~m_main_v_state(s110, c_ready)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16997, 16989, 16964])).
% 8.96/6.44 tff(16999,plain,
% 8.96/6.44 (always3(s110)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10441, 22, 16985])).
% 8.96/6.44 tff(17000,plain,
% 8.96/6.44 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s110)) | (~m_main_v_state(s110, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s110)) | (~m_main_v_state(s110, c_busy)))),
% 8.96/6.44 inference(rewrite,[status(thm)],[])).
% 8.96/6.44 tff(17001,plain,
% 8.96/6.44 (((~m_main_v_state(s110, c_busy)) | (~always3(s110))) <=> ((~always3(s110)) | (~m_main_v_state(s110, c_busy)))),
% 8.96/6.44 inference(rewrite,[status(thm)],[])).
% 8.96/6.44 tff(17002,plain,
% 8.96/6.44 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s110, c_busy)) | (~always3(s110)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s110)) | (~m_main_v_state(s110, c_busy))))),
% 8.96/6.44 inference(monotonicity,[status(thm)],[17001])).
% 8.96/6.44 tff(17003,plain,
% 8.96/6.44 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s110, c_busy)) | (~always3(s110)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s110)) | (~m_main_v_state(s110, c_busy)))),
% 8.96/6.44 inference(transitivity,[status(thm)],[17002, 17000])).
% 8.96/6.44 tff(17004,plain,
% 8.96/6.44 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s110, c_busy)) | (~always3(s110)))),
% 8.96/6.44 inference(quant_inst,[status(thm)],[])).
% 8.96/6.44 tff(17005,plain,
% 8.96/6.44 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s110)) | (~m_main_v_state(s110, c_busy))),
% 8.96/6.44 inference(modus_ponens,[status(thm)],[17004, 17003])).
% 8.96/6.44 tff(17006,plain,
% 8.96/6.44 (~m_main_v_state(s110, c_busy)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[17005, 170, 16999])).
% 8.96/6.44 tff(17007,plain,
% 8.96/6.44 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s110, c_busy) | m_main_v_state(s110, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s110, c_busy) | m_main_v_state(s110, c_ready))),
% 8.96/6.44 inference(rewrite,[status(thm)],[])).
% 8.96/6.44 tff(17008,plain,
% 8.96/6.44 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s110, c_busy) | m_main_v_state(s110, c_ready))),
% 8.96/6.44 inference(quant_inst,[status(thm)],[])).
% 8.96/6.44 tff(17009,plain,
% 8.96/6.44 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s110, c_busy) | m_main_v_state(s110, c_ready)),
% 8.96/6.44 inference(modus_ponens,[status(thm)],[17008, 17007])).
% 8.96/6.44 tff(17010,plain,
% 8.96/6.44 ($false),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[17009, 213, 17006, 16998])).
% 8.96/6.44 tff(17011,plain,((~until5(s110)) | xuntil6(s111) | m_main_v_state(s112, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.44 tff(17012,plain,
% 8.96/6.44 (~until5(s110)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[17011, 16944, 16925])).
% 8.96/6.44 tff(17013,plain,
% 8.96/6.44 (~xuntil6(s109)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10437, 17012])).
% 8.96/6.44 tff(17014,assumption,(~always3(s109)), introduced(assumption)).
% 8.96/6.44 tff(17015,plain,
% 8.96/6.44 (~always3(s108)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[8954, 17014])).
% 8.96/6.44 tff(17016,plain,
% 8.96/6.44 (~node4(s108)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10407, 22, 17015])).
% 8.96/6.44 tff(17017,plain,
% 8.96/6.44 (~node4(s109)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10424, 22, 17014])).
% 8.96/6.44 tff(17018,assumption,(~xuntil6(s109)), introduced(assumption)).
% 8.96/6.44 tff(17019,plain,
% 8.96/6.44 (node4(s109) | (~until5(s109))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10431, 36, 17018])).
% 8.96/6.44 tff(17020,plain,
% 8.96/6.44 (~until5(s109)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[17019, 17017])).
% 8.96/6.44 tff(17021,plain,
% 8.96/6.44 (~xuntil6(s108)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10420, 17020])).
% 8.96/6.44 tff(17022,plain,
% 8.96/6.44 (~until5(s108)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10414, 36, 17021, 17016])).
% 8.96/6.44 tff(17023,plain,
% 8.96/6.44 (~xuntil6(s107)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10403, 17022])).
% 8.96/6.44 tff(17024,plain,
% 8.96/6.44 (~always3(s107)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[8966, 17015])).
% 8.96/6.44 tff(17025,plain,
% 8.96/6.44 (~node4(s107)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10390, 22, 17024])).
% 8.96/6.44 tff(17026,plain,
% 8.96/6.44 (xuntil6(s107) | (~until5(s107))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10397, 36, 17025])).
% 8.96/6.44 tff(17027,plain,
% 8.96/6.44 (~until5(s107)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[17026, 17023])).
% 8.96/6.44 tff(17028,plain,
% 8.96/6.44 (~xuntil6(s106)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10386, 17027])).
% 8.96/6.44 tff(17029,plain,
% 8.96/6.44 (~always3(s106)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[8978, 17024])).
% 8.96/6.44 tff(17030,plain,
% 8.96/6.44 (~node4(s106)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10373, 22, 17029])).
% 8.96/6.44 tff(17031,plain,
% 8.96/6.44 (xuntil6(s106) | (~until5(s106))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10380, 36, 17030])).
% 8.96/6.44 tff(17032,plain,
% 8.96/6.44 (~until5(s106)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[17031, 17028])).
% 8.96/6.44 tff(17033,plain,
% 8.96/6.44 (~xuntil6(s105)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10369, 17032])).
% 8.96/6.44 tff(17034,plain,
% 8.96/6.44 (~always3(s105)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[8990, 17029])).
% 8.96/6.44 tff(17035,plain,
% 8.96/6.44 (~node4(s105)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10356, 22, 17034])).
% 8.96/6.44 tff(17036,plain,
% 8.96/6.44 (xuntil6(s105) | (~until5(s105))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10363, 36, 17035])).
% 8.96/6.44 tff(17037,plain,
% 8.96/6.44 (~until5(s105)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[17036, 17033])).
% 8.96/6.44 tff(17038,plain,
% 8.96/6.44 (~xuntil6(s104)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10352, 17037])).
% 8.96/6.44 tff(17039,plain,
% 8.96/6.44 (~always3(s104)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9002, 17034])).
% 8.96/6.44 tff(17040,plain,
% 8.96/6.44 (~node4(s104)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10339, 22, 17039])).
% 8.96/6.44 tff(17041,plain,
% 8.96/6.44 (xuntil6(s104) | (~until5(s104))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10346, 36, 17040])).
% 8.96/6.44 tff(17042,plain,
% 8.96/6.44 (~until5(s104)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[17041, 17038])).
% 8.96/6.44 tff(17043,plain,
% 8.96/6.44 (~xuntil6(s103)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10335, 17042])).
% 8.96/6.44 tff(17044,plain,
% 8.96/6.44 (~always3(s103)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9014, 17039])).
% 8.96/6.44 tff(17045,plain,
% 8.96/6.44 (~node4(s103)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10322, 22, 17044])).
% 8.96/6.44 tff(17046,plain,
% 8.96/6.44 (xuntil6(s103) | (~until5(s103))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10329, 36, 17045])).
% 8.96/6.44 tff(17047,plain,
% 8.96/6.44 (~until5(s103)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[17046, 17043])).
% 8.96/6.44 tff(17048,plain,
% 8.96/6.44 (~xuntil6(s102)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10318, 17047])).
% 8.96/6.44 tff(17049,plain,
% 8.96/6.44 (~always3(s102)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9026, 17044])).
% 8.96/6.44 tff(17050,plain,
% 8.96/6.44 (~node4(s102)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10305, 22, 17049])).
% 8.96/6.44 tff(17051,plain,
% 8.96/6.44 (xuntil6(s102) | (~until5(s102))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10312, 36, 17050])).
% 8.96/6.44 tff(17052,plain,
% 8.96/6.44 (~until5(s102)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[17051, 17048])).
% 8.96/6.44 tff(17053,plain,
% 8.96/6.44 (~xuntil6(s101)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10301, 17052])).
% 8.96/6.44 tff(17054,plain,
% 8.96/6.44 (~always3(s101)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9038, 17049])).
% 8.96/6.44 tff(17055,plain,
% 8.96/6.44 (~node4(s101)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10288, 22, 17054])).
% 8.96/6.44 tff(17056,plain,
% 8.96/6.44 (xuntil6(s101) | (~until5(s101))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10295, 36, 17055])).
% 8.96/6.44 tff(17057,plain,
% 8.96/6.44 (~until5(s101)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[17056, 17053])).
% 8.96/6.44 tff(17058,plain,
% 8.96/6.44 (~xuntil6(s100)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10284, 17057])).
% 8.96/6.44 tff(17059,plain,
% 8.96/6.44 (~always3(s100)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9050, 17054])).
% 8.96/6.44 tff(17060,plain,
% 8.96/6.44 (~node4(s100)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10271, 22, 17059])).
% 8.96/6.44 tff(17061,plain,
% 8.96/6.44 (xuntil6(s100) | (~until5(s100))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10278, 36, 17060])).
% 8.96/6.44 tff(17062,plain,
% 8.96/6.44 (~until5(s100)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[17061, 17058])).
% 8.96/6.44 tff(17063,plain,
% 8.96/6.44 (~always3(s99)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9062, 17059])).
% 8.96/6.44 tff(17064,plain,
% 8.96/6.44 (~always3(s98)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9074, 17063])).
% 8.96/6.44 tff(17065,plain,
% 8.96/6.44 (~always3(s97)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9086, 17064])).
% 8.96/6.44 tff(17066,plain,
% 8.96/6.44 (~always3(s96)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9098, 17065])).
% 8.96/6.44 tff(17067,plain,
% 8.96/6.44 (~always3(s95)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9110, 17066])).
% 8.96/6.44 tff(17068,plain,
% 8.96/6.44 (~always3(s94)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9122, 17067])).
% 8.96/6.44 tff(17069,plain,
% 8.96/6.44 (~always3(s93)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9134, 17068])).
% 8.96/6.44 tff(17070,plain,
% 8.96/6.44 (~always3(s92)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9146, 17069])).
% 8.96/6.44 tff(17071,plain,
% 8.96/6.44 (~always3(s91)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9158, 17070])).
% 8.96/6.44 tff(17072,plain,
% 8.96/6.44 (~node4(s91)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10118, 22, 17071])).
% 8.96/6.44 tff(17073,plain,
% 8.96/6.44 (~always3(s90)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[9170, 17071])).
% 8.96/6.44 tff(17074,plain,
% 8.96/6.44 (~node4(s90)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10101, 22, 17073])).
% 8.96/6.44 tff(17075,plain,
% 8.96/6.44 (xuntil6(s90)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[16829, 17074])).
% 8.96/6.44 tff(17076,plain,
% 8.96/6.44 (until5(s91)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10114, 17075])).
% 8.96/6.44 tff(17077,plain,
% 8.96/6.44 (xuntil6(s91)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10125, 36, 17076, 17072])).
% 8.96/6.44 tff(17078,plain,
% 8.96/6.44 (until5(s92)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10131, 17077])).
% 8.96/6.44 tff(17079,plain,
% 8.96/6.44 (~node4(s92)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10135, 22, 17070])).
% 8.96/6.44 tff(17080,plain,
% 8.96/6.44 (xuntil6(s92) | (~until5(s92))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10142, 36, 17079])).
% 8.96/6.44 tff(17081,plain,
% 8.96/6.44 (xuntil6(s92)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[17080, 17078])).
% 8.96/6.44 tff(17082,plain,
% 8.96/6.44 (until5(s93)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10148, 17081])).
% 8.96/6.44 tff(17083,plain,
% 8.96/6.44 (~node4(s93)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10152, 22, 17069])).
% 8.96/6.44 tff(17084,plain,
% 8.96/6.44 (xuntil6(s93) | (~until5(s93))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10159, 36, 17083])).
% 8.96/6.44 tff(17085,plain,
% 8.96/6.44 (xuntil6(s93)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[17084, 17082])).
% 8.96/6.44 tff(17086,plain,
% 8.96/6.44 (until5(s94)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10165, 17085])).
% 8.96/6.44 tff(17087,plain,
% 8.96/6.44 (~node4(s94)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10169, 22, 17068])).
% 8.96/6.44 tff(17088,plain,
% 8.96/6.44 (xuntil6(s94) | (~until5(s94))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10176, 36, 17087])).
% 8.96/6.44 tff(17089,plain,
% 8.96/6.44 (xuntil6(s94)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[17088, 17086])).
% 8.96/6.44 tff(17090,plain,
% 8.96/6.44 (until5(s95)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10182, 17089])).
% 8.96/6.44 tff(17091,plain,
% 8.96/6.44 (~node4(s95)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10186, 22, 17067])).
% 8.96/6.44 tff(17092,plain,
% 8.96/6.44 (xuntil6(s95) | (~until5(s95))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10193, 36, 17091])).
% 8.96/6.44 tff(17093,plain,
% 8.96/6.44 (xuntil6(s95)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[17092, 17090])).
% 8.96/6.44 tff(17094,plain,
% 8.96/6.44 (until5(s96)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10199, 17093])).
% 8.96/6.44 tff(17095,plain,
% 8.96/6.44 (~node4(s96)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10203, 22, 17066])).
% 8.96/6.44 tff(17096,plain,
% 8.96/6.44 (xuntil6(s96) | (~until5(s96))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10210, 36, 17095])).
% 8.96/6.44 tff(17097,plain,
% 8.96/6.44 (xuntil6(s96)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[17096, 17094])).
% 8.96/6.44 tff(17098,plain,
% 8.96/6.44 (until5(s97)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10216, 17097])).
% 8.96/6.44 tff(17099,plain,
% 8.96/6.44 (~node4(s97)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10220, 22, 17065])).
% 8.96/6.44 tff(17100,plain,
% 8.96/6.44 (xuntil6(s97) | (~until5(s97))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10227, 36, 17099])).
% 8.96/6.44 tff(17101,plain,
% 8.96/6.44 (xuntil6(s97)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[17100, 17098])).
% 8.96/6.44 tff(17102,plain,
% 8.96/6.44 (until5(s98)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10233, 17101])).
% 8.96/6.44 tff(17103,plain,
% 8.96/6.44 (~node4(s98)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10237, 22, 17064])).
% 8.96/6.44 tff(17104,plain,
% 8.96/6.44 (xuntil6(s98) | (~until5(s98))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10244, 36, 17103])).
% 8.96/6.44 tff(17105,plain,
% 8.96/6.44 (xuntil6(s98)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[17104, 17102])).
% 8.96/6.44 tff(17106,plain,
% 8.96/6.44 (until5(s99)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10250, 17105])).
% 8.96/6.44 tff(17107,plain,
% 8.96/6.44 (~node4(s99)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10254, 22, 17063])).
% 8.96/6.44 tff(17108,plain,
% 8.96/6.44 (xuntil6(s99) | (~until5(s99))),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10261, 36, 17107])).
% 8.96/6.44 tff(17109,plain,
% 8.96/6.44 (xuntil6(s99)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[17108, 17106])).
% 8.96/6.44 tff(17110,plain,
% 8.96/6.44 ($false),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[10267, 17109, 17062])).
% 8.96/6.44 tff(17111,plain,(always3(s109) | (~until5(s90)) | xuntil6(s109)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.44 tff(17112,plain,
% 8.96/6.44 (always3(s109)),
% 8.96/6.44 inference(unit_resolution,[status(thm)],[17111, 17013, 16802])).
% 8.96/6.44 tff(17113,plain,
% 8.96/6.44 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s109)) | (~m_main_v_state(s109, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s109)) | (~m_main_v_state(s109, c_busy)))),
% 8.96/6.44 inference(rewrite,[status(thm)],[])).
% 8.96/6.44 tff(17114,plain,
% 8.96/6.44 (((~m_main_v_state(s109, c_busy)) | (~always3(s109))) <=> ((~always3(s109)) | (~m_main_v_state(s109, c_busy)))),
% 8.96/6.44 inference(rewrite,[status(thm)],[])).
% 8.96/6.44 tff(17115,plain,
% 8.96/6.44 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s109, c_busy)) | (~always3(s109)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s109)) | (~m_main_v_state(s109, c_busy))))),
% 8.96/6.44 inference(monotonicity,[status(thm)],[17114])).
% 8.96/6.44 tff(17116,plain,
% 8.96/6.44 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s109, c_busy)) | (~always3(s109)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s109)) | (~m_main_v_state(s109, c_busy)))),
% 8.96/6.44 inference(transitivity,[status(thm)],[17115, 17113])).
% 8.96/6.44 tff(17117,plain,
% 8.96/6.44 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s109, c_busy)) | (~always3(s109)))),
% 8.96/6.44 inference(quant_inst,[status(thm)],[])).
% 8.96/6.44 tff(17118,plain,
% 8.96/6.44 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s109)) | (~m_main_v_state(s109, c_busy))),
% 8.96/6.45 inference(modus_ponens,[status(thm)],[17117, 17116])).
% 8.96/6.45 tff(17119,plain,
% 8.96/6.45 (~m_main_v_state(s109, c_busy)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17118, 170, 17112])).
% 8.96/6.45 tff(17120,assumption,(~m_main_v_state(s109, c_busy)), introduced(assumption)).
% 8.96/6.45 tff(17121,assumption,(node4(s108)), introduced(assumption)).
% 8.96/6.45 tff(17122,plain,
% 8.96/6.45 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s108) | (~node4(s108)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s108) | (~node4(s108)))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17123,plain,
% 8.96/6.45 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s108) | (~node4(s108)))),
% 8.96/6.45 inference(quant_inst,[status(thm)],[])).
% 8.96/6.45 tff(17124,plain,
% 8.96/6.45 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s108) | (~node4(s108))),
% 8.96/6.45 inference(modus_ponens,[status(thm)],[17123, 17122])).
% 8.96/6.45 tff(17125,plain,
% 8.96/6.45 (m_main_v_request(s108)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17124, 154, 17121])).
% 8.96/6.45 tff(17126,plain,
% 8.96/6.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s108, s109)) | node2(s108, s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s108, s109)) | node2(s108, s109))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17127,plain,
% 8.96/6.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s108, s109)) | node2(s108, s109))),
% 8.96/6.45 inference(quant_inst,[status(thm)],[])).
% 8.96/6.45 tff(17128,plain,
% 8.96/6.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s108, s109)) | node2(s108, s109)),
% 8.96/6.45 inference(modus_ponens,[status(thm)],[17127, 17126])).
% 8.96/6.45 tff(17129,plain,
% 8.96/6.45 (node2(s108, s109)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17128, 7, 8950])).
% 8.96/6.45 tff(17130,plain,
% 8.96/6.45 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s108, c_ready)) | (~node2(s108, s109)) | m_main_v_state(s109, c_busy) | (~m_main_v_request(s108)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s108, c_ready)) | (~node2(s108, s109)) | m_main_v_state(s109, c_busy) | (~m_main_v_request(s108)))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17131,plain,
% 8.96/6.45 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s108, c_ready)) | (~node2(s108, s109)) | m_main_v_state(s109, c_busy) | (~m_main_v_request(s108)))),
% 8.96/6.45 inference(quant_inst,[status(thm)],[])).
% 8.96/6.45 tff(17132,plain,
% 8.96/6.45 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s108, c_ready)) | (~node2(s108, s109)) | m_main_v_state(s109, c_busy) | (~m_main_v_request(s108))),
% 8.96/6.45 inference(modus_ponens,[status(thm)],[17131, 17130])).
% 8.96/6.45 tff(17133,plain,
% 8.96/6.45 ((~m_main_v_state(s108, c_ready)) | m_main_v_state(s109, c_busy) | (~m_main_v_request(s108))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17132, 191, 17129])).
% 8.96/6.45 tff(17134,plain,
% 8.96/6.45 (~m_main_v_state(s108, c_ready)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17133, 17125, 17120])).
% 8.96/6.45 tff(17135,plain,
% 8.96/6.45 (always3(s108)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10407, 22, 17121])).
% 8.96/6.45 tff(17136,plain,
% 8.96/6.45 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s108)) | (~m_main_v_state(s108, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s108)) | (~m_main_v_state(s108, c_busy)))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17137,plain,
% 8.96/6.45 (((~m_main_v_state(s108, c_busy)) | (~always3(s108))) <=> ((~always3(s108)) | (~m_main_v_state(s108, c_busy)))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17138,plain,
% 8.96/6.45 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s108, c_busy)) | (~always3(s108)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s108)) | (~m_main_v_state(s108, c_busy))))),
% 8.96/6.45 inference(monotonicity,[status(thm)],[17137])).
% 8.96/6.45 tff(17139,plain,
% 8.96/6.45 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s108, c_busy)) | (~always3(s108)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s108)) | (~m_main_v_state(s108, c_busy)))),
% 8.96/6.45 inference(transitivity,[status(thm)],[17138, 17136])).
% 8.96/6.45 tff(17140,plain,
% 8.96/6.45 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s108, c_busy)) | (~always3(s108)))),
% 8.96/6.45 inference(quant_inst,[status(thm)],[])).
% 8.96/6.45 tff(17141,plain,
% 8.96/6.45 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s108)) | (~m_main_v_state(s108, c_busy))),
% 8.96/6.45 inference(modus_ponens,[status(thm)],[17140, 17139])).
% 8.96/6.45 tff(17142,plain,
% 8.96/6.45 (~m_main_v_state(s108, c_busy)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17141, 170, 17135])).
% 8.96/6.45 tff(17143,plain,
% 8.96/6.45 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s108, c_busy) | m_main_v_state(s108, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s108, c_busy) | m_main_v_state(s108, c_ready))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17144,plain,
% 8.96/6.45 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s108, c_busy) | m_main_v_state(s108, c_ready))),
% 8.96/6.45 inference(quant_inst,[status(thm)],[])).
% 8.96/6.45 tff(17145,plain,
% 8.96/6.45 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s108, c_busy) | m_main_v_state(s108, c_ready)),
% 8.96/6.45 inference(modus_ponens,[status(thm)],[17144, 17143])).
% 8.96/6.45 tff(17146,plain,
% 8.96/6.45 ($false),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17145, 213, 17142, 17134])).
% 8.96/6.45 tff(17147,plain,((~node4(s108)) | m_main_v_state(s109, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.45 tff(17148,plain,
% 8.96/6.45 (~node4(s108)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17147, 17119])).
% 8.96/6.45 tff(17149,plain,
% 8.96/6.45 (always3(s110)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[8942, 17112])).
% 8.96/6.45 tff(17150,plain,
% 8.96/6.45 (~m_main_v_state(s110, c_busy)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17005, 170, 17149])).
% 8.96/6.45 tff(17151,plain,
% 8.96/6.45 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s109, c_busy) | m_main_v_state(s109, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s109, c_busy) | m_main_v_state(s109, c_ready))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17152,plain,
% 8.96/6.45 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s109, c_busy) | m_main_v_state(s109, c_ready))),
% 8.96/6.45 inference(quant_inst,[status(thm)],[])).
% 8.96/6.45 tff(17153,plain,
% 8.96/6.45 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s109, c_busy) | m_main_v_state(s109, c_ready)),
% 8.96/6.45 inference(modus_ponens,[status(thm)],[17152, 17151])).
% 8.96/6.45 tff(17154,plain,
% 8.96/6.45 (m_main_v_state(s109, c_ready)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17153, 213, 17119])).
% 8.96/6.45 tff(17155,plain,
% 8.96/6.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s109, s110)) | node2(s109, s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s109, s110)) | node2(s109, s110))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17156,plain,
% 8.96/6.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s109, s110)) | node2(s109, s110))),
% 8.96/6.45 inference(quant_inst,[status(thm)],[])).
% 8.96/6.45 tff(17157,plain,
% 8.96/6.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s109, s110)) | node2(s109, s110)),
% 8.96/6.45 inference(modus_ponens,[status(thm)],[17156, 17155])).
% 8.96/6.45 tff(17158,plain,
% 8.96/6.45 (node2(s109, s110)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17157, 7, 8938])).
% 8.96/6.45 tff(17159,plain,
% 8.96/6.45 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s109, c_ready)) | (~node2(s109, s110)) | m_main_v_state(s110, c_busy) | (~m_main_v_request(s109)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s109, c_ready)) | (~node2(s109, s110)) | m_main_v_state(s110, c_busy) | (~m_main_v_request(s109)))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17160,plain,
% 8.96/6.45 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s109, c_ready)) | (~node2(s109, s110)) | m_main_v_state(s110, c_busy) | (~m_main_v_request(s109)))),
% 8.96/6.45 inference(quant_inst,[status(thm)],[])).
% 8.96/6.45 tff(17161,plain,
% 8.96/6.45 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s109, c_ready)) | (~node2(s109, s110)) | m_main_v_state(s110, c_busy) | (~m_main_v_request(s109))),
% 8.96/6.45 inference(modus_ponens,[status(thm)],[17160, 17159])).
% 8.96/6.45 tff(17162,plain,
% 8.96/6.45 ((~m_main_v_state(s109, c_ready)) | m_main_v_state(s110, c_busy) | (~m_main_v_request(s109))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17161, 191, 17158])).
% 8.96/6.45 tff(17163,plain,
% 8.96/6.45 (~m_main_v_request(s109)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17162, 17154, 17150])).
% 8.96/6.45 tff(17164,plain,
% 8.96/6.45 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s109) | (~node4(s109)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s109) | (~node4(s109)))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17165,plain,
% 8.96/6.45 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s109) | (~node4(s109)))),
% 8.96/6.45 inference(quant_inst,[status(thm)],[])).
% 8.96/6.45 tff(17166,plain,
% 8.96/6.45 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s109) | (~node4(s109))),
% 8.96/6.45 inference(modus_ponens,[status(thm)],[17165, 17164])).
% 8.96/6.45 tff(17167,plain,
% 8.96/6.45 (~node4(s109)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17166, 154, 17163])).
% 8.96/6.45 tff(17168,plain,
% 8.96/6.45 (node4(s109) | (~until5(s109))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10431, 36, 17013])).
% 8.96/6.45 tff(17169,plain,
% 8.96/6.45 (~until5(s109)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17168, 17167])).
% 8.96/6.45 tff(17170,plain,
% 8.96/6.45 (~xuntil6(s108)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10420, 17169])).
% 8.96/6.45 tff(17171,plain,
% 8.96/6.45 (~until5(s108)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10414, 36, 17170, 17148])).
% 8.96/6.45 tff(17172,plain,
% 8.96/6.45 (~xuntil6(s107)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10403, 17171])).
% 8.96/6.45 tff(17173,assumption,(~always3(s107)), introduced(assumption)).
% 8.96/6.45 tff(17174,plain,
% 8.96/6.45 (~always3(s106)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[8978, 17173])).
% 8.96/6.45 tff(17175,plain,
% 8.96/6.45 (~node4(s106)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10373, 22, 17174])).
% 8.96/6.45 tff(17176,plain,
% 8.96/6.45 (~node4(s107)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10390, 22, 17173])).
% 8.96/6.45 tff(17177,assumption,(~xuntil6(s107)), introduced(assumption)).
% 8.96/6.45 tff(17178,plain,
% 8.96/6.45 (node4(s107) | (~until5(s107))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10397, 36, 17177])).
% 8.96/6.45 tff(17179,plain,
% 8.96/6.45 (~until5(s107)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17178, 17176])).
% 8.96/6.45 tff(17180,plain,
% 8.96/6.45 (~xuntil6(s106)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10386, 17179])).
% 8.96/6.45 tff(17181,plain,
% 8.96/6.45 (~until5(s106)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10380, 36, 17180, 17175])).
% 8.96/6.45 tff(17182,plain,
% 8.96/6.45 (~xuntil6(s105)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10369, 17181])).
% 8.96/6.45 tff(17183,plain,
% 8.96/6.45 (~always3(s105)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[8990, 17174])).
% 8.96/6.45 tff(17184,plain,
% 8.96/6.45 (~node4(s105)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10356, 22, 17183])).
% 8.96/6.45 tff(17185,plain,
% 8.96/6.45 (xuntil6(s105) | (~until5(s105))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10363, 36, 17184])).
% 8.96/6.45 tff(17186,plain,
% 8.96/6.45 (~until5(s105)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17185, 17182])).
% 8.96/6.45 tff(17187,plain,
% 8.96/6.45 (~xuntil6(s104)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10352, 17186])).
% 8.96/6.45 tff(17188,plain,
% 8.96/6.45 (~always3(s104)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9002, 17183])).
% 8.96/6.45 tff(17189,plain,
% 8.96/6.45 (~node4(s104)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10339, 22, 17188])).
% 8.96/6.45 tff(17190,plain,
% 8.96/6.45 (xuntil6(s104) | (~until5(s104))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10346, 36, 17189])).
% 8.96/6.45 tff(17191,plain,
% 8.96/6.45 (~until5(s104)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17190, 17187])).
% 8.96/6.45 tff(17192,plain,
% 8.96/6.45 (~xuntil6(s103)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10335, 17191])).
% 8.96/6.45 tff(17193,plain,
% 8.96/6.45 (~always3(s103)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9014, 17188])).
% 8.96/6.45 tff(17194,plain,
% 8.96/6.45 (~node4(s103)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10322, 22, 17193])).
% 8.96/6.45 tff(17195,plain,
% 8.96/6.45 (xuntil6(s103) | (~until5(s103))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10329, 36, 17194])).
% 8.96/6.45 tff(17196,plain,
% 8.96/6.45 (~until5(s103)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17195, 17192])).
% 8.96/6.45 tff(17197,plain,
% 8.96/6.45 (~xuntil6(s102)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10318, 17196])).
% 8.96/6.45 tff(17198,plain,
% 8.96/6.45 (~always3(s102)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9026, 17193])).
% 8.96/6.45 tff(17199,plain,
% 8.96/6.45 (~node4(s102)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10305, 22, 17198])).
% 8.96/6.45 tff(17200,plain,
% 8.96/6.45 (xuntil6(s102) | (~until5(s102))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10312, 36, 17199])).
% 8.96/6.45 tff(17201,plain,
% 8.96/6.45 (~until5(s102)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17200, 17197])).
% 8.96/6.45 tff(17202,plain,
% 8.96/6.45 (~xuntil6(s101)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10301, 17201])).
% 8.96/6.45 tff(17203,plain,
% 8.96/6.45 (~always3(s101)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9038, 17198])).
% 8.96/6.45 tff(17204,plain,
% 8.96/6.45 (~node4(s101)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10288, 22, 17203])).
% 8.96/6.45 tff(17205,plain,
% 8.96/6.45 (xuntil6(s101) | (~until5(s101))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10295, 36, 17204])).
% 8.96/6.45 tff(17206,plain,
% 8.96/6.45 (~until5(s101)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17205, 17202])).
% 8.96/6.45 tff(17207,plain,
% 8.96/6.45 (~xuntil6(s100)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10284, 17206])).
% 8.96/6.45 tff(17208,plain,
% 8.96/6.45 (~always3(s100)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9050, 17203])).
% 8.96/6.45 tff(17209,plain,
% 8.96/6.45 (~node4(s100)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10271, 22, 17208])).
% 8.96/6.45 tff(17210,plain,
% 8.96/6.45 (xuntil6(s100) | (~until5(s100))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10278, 36, 17209])).
% 8.96/6.45 tff(17211,plain,
% 8.96/6.45 (~until5(s100)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17210, 17207])).
% 8.96/6.45 tff(17212,plain,
% 8.96/6.45 (~xuntil6(s99)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10267, 17211])).
% 8.96/6.45 tff(17213,plain,
% 8.96/6.45 (~always3(s99)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9062, 17208])).
% 8.96/6.45 tff(17214,plain,
% 8.96/6.45 (~node4(s99)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10254, 22, 17213])).
% 8.96/6.45 tff(17215,plain,
% 8.96/6.45 (xuntil6(s99) | (~until5(s99))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10261, 36, 17214])).
% 8.96/6.45 tff(17216,plain,
% 8.96/6.45 (~until5(s99)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17215, 17212])).
% 8.96/6.45 tff(17217,plain,
% 8.96/6.45 (~always3(s98)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9074, 17213])).
% 8.96/6.45 tff(17218,plain,
% 8.96/6.45 (~always3(s97)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9086, 17217])).
% 8.96/6.45 tff(17219,plain,
% 8.96/6.45 (~always3(s96)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9098, 17218])).
% 8.96/6.45 tff(17220,plain,
% 8.96/6.45 (~always3(s95)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9110, 17219])).
% 8.96/6.45 tff(17221,plain,
% 8.96/6.45 (~always3(s94)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9122, 17220])).
% 8.96/6.45 tff(17222,plain,
% 8.96/6.45 (~always3(s93)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9134, 17221])).
% 8.96/6.45 tff(17223,plain,
% 8.96/6.45 (~always3(s92)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9146, 17222])).
% 8.96/6.45 tff(17224,plain,
% 8.96/6.45 (~always3(s91)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9158, 17223])).
% 8.96/6.45 tff(17225,plain,
% 8.96/6.45 (~node4(s91)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10118, 22, 17224])).
% 8.96/6.45 tff(17226,plain,
% 8.96/6.45 (~always3(s90)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9170, 17224])).
% 8.96/6.45 tff(17227,plain,
% 8.96/6.45 (~node4(s90)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10101, 22, 17226])).
% 8.96/6.45 tff(17228,plain,
% 8.96/6.45 (xuntil6(s90)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[16829, 17227])).
% 8.96/6.45 tff(17229,plain,
% 8.96/6.45 (until5(s91)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10114, 17228])).
% 8.96/6.45 tff(17230,plain,
% 8.96/6.45 (xuntil6(s91)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10125, 36, 17229, 17225])).
% 8.96/6.45 tff(17231,plain,
% 8.96/6.45 (until5(s92)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10131, 17230])).
% 8.96/6.45 tff(17232,plain,
% 8.96/6.45 (~node4(s92)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10135, 22, 17223])).
% 8.96/6.45 tff(17233,plain,
% 8.96/6.45 (xuntil6(s92) | (~until5(s92))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10142, 36, 17232])).
% 8.96/6.45 tff(17234,plain,
% 8.96/6.45 (xuntil6(s92)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17233, 17231])).
% 8.96/6.45 tff(17235,plain,
% 8.96/6.45 (until5(s93)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10148, 17234])).
% 8.96/6.45 tff(17236,plain,
% 8.96/6.45 (~node4(s93)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10152, 22, 17222])).
% 8.96/6.45 tff(17237,plain,
% 8.96/6.45 (xuntil6(s93) | (~until5(s93))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10159, 36, 17236])).
% 8.96/6.45 tff(17238,plain,
% 8.96/6.45 (xuntil6(s93)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17237, 17235])).
% 8.96/6.45 tff(17239,plain,
% 8.96/6.45 (until5(s94)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10165, 17238])).
% 8.96/6.45 tff(17240,plain,
% 8.96/6.45 (~node4(s94)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10169, 22, 17221])).
% 8.96/6.45 tff(17241,plain,
% 8.96/6.45 (xuntil6(s94) | (~until5(s94))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10176, 36, 17240])).
% 8.96/6.45 tff(17242,plain,
% 8.96/6.45 (xuntil6(s94)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17241, 17239])).
% 8.96/6.45 tff(17243,plain,
% 8.96/6.45 (until5(s95)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10182, 17242])).
% 8.96/6.45 tff(17244,plain,
% 8.96/6.45 (~node4(s95)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10186, 22, 17220])).
% 8.96/6.45 tff(17245,plain,
% 8.96/6.45 (xuntil6(s95) | (~until5(s95))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10193, 36, 17244])).
% 8.96/6.45 tff(17246,plain,
% 8.96/6.45 (xuntil6(s95)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17245, 17243])).
% 8.96/6.45 tff(17247,plain,
% 8.96/6.45 (until5(s96)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10199, 17246])).
% 8.96/6.45 tff(17248,plain,
% 8.96/6.45 (~node4(s96)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10203, 22, 17219])).
% 8.96/6.45 tff(17249,plain,
% 8.96/6.45 (xuntil6(s96) | (~until5(s96))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10210, 36, 17248])).
% 8.96/6.45 tff(17250,plain,
% 8.96/6.45 (xuntil6(s96)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17249, 17247])).
% 8.96/6.45 tff(17251,plain,
% 8.96/6.45 (until5(s97)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10216, 17250])).
% 8.96/6.45 tff(17252,plain,
% 8.96/6.45 (~node4(s97)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10220, 22, 17218])).
% 8.96/6.45 tff(17253,plain,
% 8.96/6.45 (xuntil6(s97) | (~until5(s97))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10227, 36, 17252])).
% 8.96/6.45 tff(17254,plain,
% 8.96/6.45 (xuntil6(s97)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17253, 17251])).
% 8.96/6.45 tff(17255,plain,
% 8.96/6.45 (until5(s98)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10233, 17254])).
% 8.96/6.45 tff(17256,plain,
% 8.96/6.45 (~node4(s98)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10237, 22, 17217])).
% 8.96/6.45 tff(17257,plain,
% 8.96/6.45 (xuntil6(s98) | (~until5(s98))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10244, 36, 17256])).
% 8.96/6.45 tff(17258,plain,
% 8.96/6.45 (xuntil6(s98)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17257, 17255])).
% 8.96/6.45 tff(17259,plain,
% 8.96/6.45 ($false),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10250, 17258, 17216])).
% 8.96/6.45 tff(17260,plain,(always3(s107) | (~until5(s90)) | xuntil6(s107)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.45 tff(17261,plain,
% 8.96/6.45 (always3(s107)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17260, 17172, 16802])).
% 8.96/6.45 tff(17262,plain,
% 8.96/6.45 (always3(s108)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[8966, 17261])).
% 8.96/6.45 tff(17263,plain,
% 8.96/6.45 (~m_main_v_state(s108, c_busy)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17141, 170, 17262])).
% 8.96/6.45 tff(17264,plain,
% 8.96/6.45 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s107)) | (~m_main_v_state(s107, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s107)) | (~m_main_v_state(s107, c_busy)))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17265,plain,
% 8.96/6.45 (((~m_main_v_state(s107, c_busy)) | (~always3(s107))) <=> ((~always3(s107)) | (~m_main_v_state(s107, c_busy)))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17266,plain,
% 8.96/6.45 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s107, c_busy)) | (~always3(s107)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s107)) | (~m_main_v_state(s107, c_busy))))),
% 8.96/6.45 inference(monotonicity,[status(thm)],[17265])).
% 8.96/6.45 tff(17267,plain,
% 8.96/6.45 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s107, c_busy)) | (~always3(s107)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s107)) | (~m_main_v_state(s107, c_busy)))),
% 8.96/6.45 inference(transitivity,[status(thm)],[17266, 17264])).
% 8.96/6.45 tff(17268,plain,
% 8.96/6.45 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s107, c_busy)) | (~always3(s107)))),
% 8.96/6.45 inference(quant_inst,[status(thm)],[])).
% 8.96/6.45 tff(17269,plain,
% 8.96/6.45 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s107)) | (~m_main_v_state(s107, c_busy))),
% 8.96/6.45 inference(modus_ponens,[status(thm)],[17268, 17267])).
% 8.96/6.45 tff(17270,plain,
% 8.96/6.45 (~m_main_v_state(s107, c_busy)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17269, 170, 17261])).
% 8.96/6.45 tff(17271,plain,
% 8.96/6.45 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s107, c_busy) | m_main_v_state(s107, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s107, c_busy) | m_main_v_state(s107, c_ready))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17272,plain,
% 8.96/6.45 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s107, c_busy) | m_main_v_state(s107, c_ready))),
% 8.96/6.45 inference(quant_inst,[status(thm)],[])).
% 8.96/6.45 tff(17273,plain,
% 8.96/6.45 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s107, c_busy) | m_main_v_state(s107, c_ready)),
% 8.96/6.45 inference(modus_ponens,[status(thm)],[17272, 17271])).
% 8.96/6.45 tff(17274,plain,
% 8.96/6.45 (m_main_v_state(s107, c_ready)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17273, 213, 17270])).
% 8.96/6.45 tff(17275,plain,
% 8.96/6.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s107, s108)) | node2(s107, s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s107, s108)) | node2(s107, s108))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17276,plain,
% 8.96/6.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s107, s108)) | node2(s107, s108))),
% 8.96/6.45 inference(quant_inst,[status(thm)],[])).
% 8.96/6.45 tff(17277,plain,
% 8.96/6.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s107, s108)) | node2(s107, s108)),
% 8.96/6.45 inference(modus_ponens,[status(thm)],[17276, 17275])).
% 8.96/6.45 tff(17278,plain,
% 8.96/6.45 (node2(s107, s108)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17277, 7, 8962])).
% 8.96/6.45 tff(17279,plain,
% 8.96/6.45 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s107, c_ready)) | (~node2(s107, s108)) | m_main_v_state(s108, c_busy) | (~m_main_v_request(s107)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s107, c_ready)) | (~node2(s107, s108)) | m_main_v_state(s108, c_busy) | (~m_main_v_request(s107)))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17280,plain,
% 8.96/6.45 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s107, c_ready)) | (~node2(s107, s108)) | m_main_v_state(s108, c_busy) | (~m_main_v_request(s107)))),
% 8.96/6.45 inference(quant_inst,[status(thm)],[])).
% 8.96/6.45 tff(17281,plain,
% 8.96/6.45 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s107, c_ready)) | (~node2(s107, s108)) | m_main_v_state(s108, c_busy) | (~m_main_v_request(s107))),
% 8.96/6.45 inference(modus_ponens,[status(thm)],[17280, 17279])).
% 8.96/6.45 tff(17282,plain,
% 8.96/6.45 ((~m_main_v_state(s107, c_ready)) | m_main_v_state(s108, c_busy) | (~m_main_v_request(s107))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17281, 191, 17278])).
% 8.96/6.45 tff(17283,plain,
% 8.96/6.45 (~m_main_v_request(s107)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17282, 17274, 17263])).
% 8.96/6.45 tff(17284,plain,
% 8.96/6.45 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s107) | (~node4(s107)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s107) | (~node4(s107)))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17285,plain,
% 8.96/6.45 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s107) | (~node4(s107)))),
% 8.96/6.45 inference(quant_inst,[status(thm)],[])).
% 8.96/6.45 tff(17286,plain,
% 8.96/6.45 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s107) | (~node4(s107))),
% 8.96/6.45 inference(modus_ponens,[status(thm)],[17285, 17284])).
% 8.96/6.45 tff(17287,plain,
% 8.96/6.45 (~node4(s107)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17286, 154, 17283])).
% 8.96/6.45 tff(17288,plain,
% 8.96/6.45 (node4(s107) | (~until5(s107))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10397, 36, 17172])).
% 8.96/6.45 tff(17289,plain,
% 8.96/6.45 (~until5(s107)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17288, 17287])).
% 8.96/6.45 tff(17290,plain,
% 8.96/6.45 (~xuntil6(s106)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10386, 17289])).
% 8.96/6.45 tff(17291,assumption,(~always3(s106)), introduced(assumption)).
% 8.96/6.45 tff(17292,plain,
% 8.96/6.45 (~always3(s105)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[8990, 17291])).
% 8.96/6.45 tff(17293,plain,
% 8.96/6.45 (~always3(s104)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9002, 17292])).
% 8.96/6.45 tff(17294,plain,
% 8.96/6.45 (~always3(s103)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9014, 17293])).
% 8.96/6.45 tff(17295,plain,
% 8.96/6.45 (~always3(s102)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9026, 17294])).
% 8.96/6.45 tff(17296,plain,
% 8.96/6.45 (~always3(s101)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9038, 17295])).
% 8.96/6.45 tff(17297,plain,
% 8.96/6.45 (~always3(s100)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9050, 17296])).
% 8.96/6.45 tff(17298,plain,
% 8.96/6.45 (~always3(s99)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9062, 17297])).
% 8.96/6.45 tff(17299,plain,
% 8.96/6.45 (~always3(s98)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9074, 17298])).
% 8.96/6.45 tff(17300,plain,
% 8.96/6.45 (~always3(s97)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9086, 17299])).
% 8.96/6.45 tff(17301,plain,
% 8.96/6.45 (~always3(s96)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9098, 17300])).
% 8.96/6.45 tff(17302,plain,
% 8.96/6.45 (~always3(s95)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9110, 17301])).
% 8.96/6.45 tff(17303,plain,
% 8.96/6.45 (~always3(s94)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9122, 17302])).
% 8.96/6.45 tff(17304,plain,
% 8.96/6.45 (~always3(s93)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9134, 17303])).
% 8.96/6.45 tff(17305,plain,
% 8.96/6.45 (~always3(s92)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9146, 17304])).
% 8.96/6.45 tff(17306,plain,
% 8.96/6.45 (~always3(s91)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9158, 17305])).
% 8.96/6.45 tff(17307,plain,
% 8.96/6.45 (~node4(s91)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10118, 22, 17306])).
% 8.96/6.45 tff(17308,plain,
% 8.96/6.45 (~always3(s90)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9170, 17306])).
% 8.96/6.45 tff(17309,plain,
% 8.96/6.45 (~node4(s90)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10101, 22, 17308])).
% 8.96/6.45 tff(17310,plain,
% 8.96/6.45 (xuntil6(s90)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[16829, 17309])).
% 8.96/6.45 tff(17311,plain,
% 8.96/6.45 (until5(s91)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10114, 17310])).
% 8.96/6.45 tff(17312,plain,
% 8.96/6.45 (xuntil6(s91)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10125, 36, 17311, 17307])).
% 8.96/6.45 tff(17313,plain,
% 8.96/6.45 (until5(s92)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10131, 17312])).
% 8.96/6.45 tff(17314,plain,
% 8.96/6.45 (~node4(s92)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10135, 22, 17305])).
% 8.96/6.45 tff(17315,plain,
% 8.96/6.45 (xuntil6(s92) | (~until5(s92))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10142, 36, 17314])).
% 8.96/6.45 tff(17316,plain,
% 8.96/6.45 (xuntil6(s92)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17315, 17313])).
% 8.96/6.45 tff(17317,plain,
% 8.96/6.45 (until5(s93)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10148, 17316])).
% 8.96/6.45 tff(17318,plain,
% 8.96/6.45 (~node4(s93)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10152, 22, 17304])).
% 8.96/6.45 tff(17319,plain,
% 8.96/6.45 (xuntil6(s93) | (~until5(s93))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10159, 36, 17318])).
% 8.96/6.45 tff(17320,plain,
% 8.96/6.45 (xuntil6(s93)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17319, 17317])).
% 8.96/6.45 tff(17321,plain,
% 8.96/6.45 (until5(s94)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10165, 17320])).
% 8.96/6.45 tff(17322,plain,
% 8.96/6.45 (~node4(s94)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10169, 22, 17303])).
% 8.96/6.45 tff(17323,plain,
% 8.96/6.45 (xuntil6(s94) | (~until5(s94))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10176, 36, 17322])).
% 8.96/6.45 tff(17324,plain,
% 8.96/6.45 (xuntil6(s94)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17323, 17321])).
% 8.96/6.45 tff(17325,plain,
% 8.96/6.45 (until5(s95)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10182, 17324])).
% 8.96/6.45 tff(17326,plain,
% 8.96/6.45 (~node4(s95)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10186, 22, 17302])).
% 8.96/6.45 tff(17327,plain,
% 8.96/6.45 (xuntil6(s95) | (~until5(s95))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10193, 36, 17326])).
% 8.96/6.45 tff(17328,plain,
% 8.96/6.45 (xuntil6(s95)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17327, 17325])).
% 8.96/6.45 tff(17329,plain,
% 8.96/6.45 (until5(s96)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10199, 17328])).
% 8.96/6.45 tff(17330,plain,
% 8.96/6.45 (~node4(s96)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10203, 22, 17301])).
% 8.96/6.45 tff(17331,plain,
% 8.96/6.45 (xuntil6(s96) | (~until5(s96))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10210, 36, 17330])).
% 8.96/6.45 tff(17332,plain,
% 8.96/6.45 (xuntil6(s96)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17331, 17329])).
% 8.96/6.45 tff(17333,plain,
% 8.96/6.45 (until5(s97)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10216, 17332])).
% 8.96/6.45 tff(17334,plain,
% 8.96/6.45 (~node4(s97)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10220, 22, 17300])).
% 8.96/6.45 tff(17335,plain,
% 8.96/6.45 (xuntil6(s97) | (~until5(s97))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10227, 36, 17334])).
% 8.96/6.45 tff(17336,plain,
% 8.96/6.45 (xuntil6(s97)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17335, 17333])).
% 8.96/6.45 tff(17337,plain,
% 8.96/6.45 (until5(s98)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10233, 17336])).
% 8.96/6.45 tff(17338,plain,
% 8.96/6.45 (~node4(s98)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10237, 22, 17299])).
% 8.96/6.45 tff(17339,plain,
% 8.96/6.45 (xuntil6(s98) | (~until5(s98))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10244, 36, 17338])).
% 8.96/6.45 tff(17340,plain,
% 8.96/6.45 (xuntil6(s98)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17339, 17337])).
% 8.96/6.45 tff(17341,plain,
% 8.96/6.45 (until5(s99)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10250, 17340])).
% 8.96/6.45 tff(17342,plain,
% 8.96/6.45 (~node4(s99)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10254, 22, 17298])).
% 8.96/6.45 tff(17343,plain,
% 8.96/6.45 (xuntil6(s99) | (~until5(s99))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10261, 36, 17342])).
% 8.96/6.45 tff(17344,plain,
% 8.96/6.45 (xuntil6(s99)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17343, 17341])).
% 8.96/6.45 tff(17345,plain,
% 8.96/6.45 (until5(s100)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10267, 17344])).
% 8.96/6.45 tff(17346,plain,
% 8.96/6.45 (~node4(s100)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10271, 22, 17297])).
% 8.96/6.45 tff(17347,plain,
% 8.96/6.45 (xuntil6(s100) | (~until5(s100))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10278, 36, 17346])).
% 8.96/6.45 tff(17348,plain,
% 8.96/6.45 (xuntil6(s100)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17347, 17345])).
% 8.96/6.45 tff(17349,plain,
% 8.96/6.45 (until5(s101)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10284, 17348])).
% 8.96/6.45 tff(17350,plain,
% 8.96/6.45 (~node4(s101)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10288, 22, 17296])).
% 8.96/6.45 tff(17351,plain,
% 8.96/6.45 (xuntil6(s101) | (~until5(s101))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10295, 36, 17350])).
% 8.96/6.45 tff(17352,plain,
% 8.96/6.45 (xuntil6(s101)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17351, 17349])).
% 8.96/6.45 tff(17353,plain,
% 8.96/6.45 (until5(s102)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10301, 17352])).
% 8.96/6.45 tff(17354,plain,
% 8.96/6.45 (~node4(s102)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10305, 22, 17295])).
% 8.96/6.45 tff(17355,plain,
% 8.96/6.45 (xuntil6(s102) | (~until5(s102))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10312, 36, 17354])).
% 8.96/6.45 tff(17356,plain,
% 8.96/6.45 (xuntil6(s102)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17355, 17353])).
% 8.96/6.45 tff(17357,plain,
% 8.96/6.45 (until5(s103)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10318, 17356])).
% 8.96/6.45 tff(17358,plain,
% 8.96/6.45 (~node4(s103)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10322, 22, 17294])).
% 8.96/6.45 tff(17359,plain,
% 8.96/6.45 (xuntil6(s103) | (~until5(s103))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10329, 36, 17358])).
% 8.96/6.45 tff(17360,plain,
% 8.96/6.45 (xuntil6(s103)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17359, 17357])).
% 8.96/6.45 tff(17361,plain,
% 8.96/6.45 (until5(s104)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10335, 17360])).
% 8.96/6.45 tff(17362,plain,
% 8.96/6.45 (~node4(s104)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10339, 22, 17293])).
% 8.96/6.45 tff(17363,plain,
% 8.96/6.45 (xuntil6(s104) | (~until5(s104))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10346, 36, 17362])).
% 8.96/6.45 tff(17364,plain,
% 8.96/6.45 (xuntil6(s104)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17363, 17361])).
% 8.96/6.45 tff(17365,plain,
% 8.96/6.45 (until5(s105)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10352, 17364])).
% 8.96/6.45 tff(17366,plain,
% 8.96/6.45 (~node4(s105)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10356, 22, 17292])).
% 8.96/6.45 tff(17367,plain,
% 8.96/6.45 (xuntil6(s105) | (~until5(s105))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10363, 36, 17366])).
% 8.96/6.45 tff(17368,plain,
% 8.96/6.45 (xuntil6(s105)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17367, 17365])).
% 8.96/6.45 tff(17369,plain,
% 8.96/6.45 (until5(s106)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10369, 17368])).
% 8.96/6.45 tff(17370,assumption,(~xuntil6(s106)), introduced(assumption)).
% 8.96/6.45 tff(17371,plain,
% 8.96/6.45 (node4(s106) | (~until5(s106))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10380, 36, 17370])).
% 8.96/6.45 tff(17372,plain,
% 8.96/6.45 (node4(s106)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17371, 17369])).
% 8.96/6.45 tff(17373,plain,
% 8.96/6.45 ($false),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10373, 22, 17291, 17372])).
% 8.96/6.45 tff(17374,plain,(always3(s106) | xuntil6(s106) | (~until5(s90))), inference(lemma,lemma(discharge,[]))).
% 8.96/6.45 tff(17375,plain,
% 8.96/6.45 (always3(s106)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17374, 17290, 16802])).
% 8.96/6.45 tff(17376,plain,
% 8.96/6.45 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s106)) | (~m_main_v_state(s106, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s106)) | (~m_main_v_state(s106, c_busy)))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17377,plain,
% 8.96/6.45 (((~m_main_v_state(s106, c_busy)) | (~always3(s106))) <=> ((~always3(s106)) | (~m_main_v_state(s106, c_busy)))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17378,plain,
% 8.96/6.45 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s106, c_busy)) | (~always3(s106)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s106)) | (~m_main_v_state(s106, c_busy))))),
% 8.96/6.45 inference(monotonicity,[status(thm)],[17377])).
% 8.96/6.45 tff(17379,plain,
% 8.96/6.45 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s106, c_busy)) | (~always3(s106)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s106)) | (~m_main_v_state(s106, c_busy)))),
% 8.96/6.45 inference(transitivity,[status(thm)],[17378, 17376])).
% 8.96/6.45 tff(17380,plain,
% 8.96/6.45 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s106, c_busy)) | (~always3(s106)))),
% 8.96/6.45 inference(quant_inst,[status(thm)],[])).
% 8.96/6.45 tff(17381,plain,
% 8.96/6.45 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s106)) | (~m_main_v_state(s106, c_busy))),
% 8.96/6.45 inference(modus_ponens,[status(thm)],[17380, 17379])).
% 8.96/6.45 tff(17382,plain,
% 8.96/6.45 (~m_main_v_state(s106, c_busy)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17381, 170, 17375])).
% 8.96/6.45 tff(17383,plain,
% 8.96/6.45 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s106, c_busy) | m_main_v_state(s106, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s106, c_busy) | m_main_v_state(s106, c_ready))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17384,plain,
% 8.96/6.45 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s106, c_busy) | m_main_v_state(s106, c_ready))),
% 8.96/6.45 inference(quant_inst,[status(thm)],[])).
% 8.96/6.45 tff(17385,plain,
% 8.96/6.45 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s106, c_busy) | m_main_v_state(s106, c_ready)),
% 8.96/6.45 inference(modus_ponens,[status(thm)],[17384, 17383])).
% 8.96/6.45 tff(17386,plain,
% 8.96/6.45 (m_main_v_state(s106, c_ready)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17385, 213, 17382])).
% 8.96/6.45 tff(17387,plain,
% 8.96/6.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s106, s107)) | node2(s106, s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s106, s107)) | node2(s106, s107))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17388,plain,
% 8.96/6.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s106, s107)) | node2(s106, s107))),
% 8.96/6.45 inference(quant_inst,[status(thm)],[])).
% 8.96/6.45 tff(17389,plain,
% 8.96/6.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s106, s107)) | node2(s106, s107)),
% 8.96/6.45 inference(modus_ponens,[status(thm)],[17388, 17387])).
% 8.96/6.45 tff(17390,plain,
% 8.96/6.45 (node2(s106, s107)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17389, 7, 8974])).
% 8.96/6.45 tff(17391,plain,
% 8.96/6.45 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s106, c_ready)) | (~node2(s106, s107)) | m_main_v_state(s107, c_busy) | (~m_main_v_request(s106)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s106, c_ready)) | (~node2(s106, s107)) | m_main_v_state(s107, c_busy) | (~m_main_v_request(s106)))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17392,plain,
% 8.96/6.45 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s106, c_ready)) | (~node2(s106, s107)) | m_main_v_state(s107, c_busy) | (~m_main_v_request(s106)))),
% 8.96/6.45 inference(quant_inst,[status(thm)],[])).
% 8.96/6.45 tff(17393,plain,
% 8.96/6.45 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s106, c_ready)) | (~node2(s106, s107)) | m_main_v_state(s107, c_busy) | (~m_main_v_request(s106))),
% 8.96/6.45 inference(modus_ponens,[status(thm)],[17392, 17391])).
% 8.96/6.45 tff(17394,plain,
% 8.96/6.45 ((~m_main_v_state(s106, c_ready)) | m_main_v_state(s107, c_busy) | (~m_main_v_request(s106))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17393, 191, 17390])).
% 8.96/6.45 tff(17395,plain,
% 8.96/6.45 (~m_main_v_request(s106)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17394, 17386, 17270])).
% 8.96/6.45 tff(17396,plain,
% 8.96/6.45 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s106) | (~node4(s106)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s106) | (~node4(s106)))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17397,plain,
% 8.96/6.45 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s106) | (~node4(s106)))),
% 8.96/6.45 inference(quant_inst,[status(thm)],[])).
% 8.96/6.45 tff(17398,plain,
% 8.96/6.45 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s106) | (~node4(s106))),
% 8.96/6.45 inference(modus_ponens,[status(thm)],[17397, 17396])).
% 8.96/6.45 tff(17399,plain,
% 8.96/6.45 (~node4(s106)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17398, 154, 17395])).
% 8.96/6.45 tff(17400,plain,
% 8.96/6.45 (node4(s106) | (~until5(s106))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10380, 36, 17290])).
% 8.96/6.45 tff(17401,plain,
% 8.96/6.45 (~until5(s106)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17400, 17399])).
% 8.96/6.45 tff(17402,plain,
% 8.96/6.45 (~xuntil6(s105)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10369, 17401])).
% 8.96/6.45 tff(17403,assumption,(~xuntil6(s105)), introduced(assumption)).
% 8.96/6.45 tff(17404,assumption,(until5(s104)), introduced(assumption)).
% 8.96/6.45 tff(17405,assumption,(~always3(s105)), introduced(assumption)).
% 8.96/6.45 tff(17406,plain,
% 8.96/6.45 (~always3(s104)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[9002, 17405])).
% 8.96/6.45 tff(17407,plain,
% 8.96/6.45 (~node4(s104)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10339, 22, 17406])).
% 8.96/6.45 tff(17408,plain,
% 8.96/6.45 (xuntil6(s104) | node4(s104)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10346, 36, 17404])).
% 8.96/6.45 tff(17409,plain,
% 8.96/6.45 (xuntil6(s104)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17408, 17407])).
% 8.96/6.45 tff(17410,plain,
% 8.96/6.45 (until5(s105)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10352, 17409])).
% 8.96/6.45 tff(17411,plain,
% 8.96/6.45 (node4(s105) | (~until5(s105))),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10363, 36, 17403])).
% 8.96/6.45 tff(17412,plain,
% 8.96/6.45 (node4(s105)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17411, 17410])).
% 8.96/6.45 tff(17413,plain,
% 8.96/6.45 ($false),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[10356, 22, 17405, 17412])).
% 8.96/6.45 tff(17414,plain,(always3(s105) | xuntil6(s105) | (~until5(s104))), inference(lemma,lemma(discharge,[]))).
% 8.96/6.45 tff(17415,plain,
% 8.96/6.45 (always3(s105)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17414, 17404, 17403])).
% 8.96/6.45 tff(17416,plain,
% 8.96/6.45 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s105)) | (~m_main_v_state(s105, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s105)) | (~m_main_v_state(s105, c_busy)))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17417,plain,
% 8.96/6.45 (((~m_main_v_state(s105, c_busy)) | (~always3(s105))) <=> ((~always3(s105)) | (~m_main_v_state(s105, c_busy)))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17418,plain,
% 8.96/6.45 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s105, c_busy)) | (~always3(s105)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s105)) | (~m_main_v_state(s105, c_busy))))),
% 8.96/6.45 inference(monotonicity,[status(thm)],[17417])).
% 8.96/6.45 tff(17419,plain,
% 8.96/6.45 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s105, c_busy)) | (~always3(s105)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s105)) | (~m_main_v_state(s105, c_busy)))),
% 8.96/6.45 inference(transitivity,[status(thm)],[17418, 17416])).
% 8.96/6.45 tff(17420,plain,
% 8.96/6.45 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s105, c_busy)) | (~always3(s105)))),
% 8.96/6.45 inference(quant_inst,[status(thm)],[])).
% 8.96/6.45 tff(17421,plain,
% 8.96/6.45 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s105)) | (~m_main_v_state(s105, c_busy))),
% 8.96/6.45 inference(modus_ponens,[status(thm)],[17420, 17419])).
% 8.96/6.45 tff(17422,plain,
% 8.96/6.45 (~m_main_v_state(s105, c_busy)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17421, 170, 17415])).
% 8.96/6.45 tff(17423,assumption,(~m_main_v_state(s106, c_busy)), introduced(assumption)).
% 8.96/6.45 tff(17424,plain,
% 8.96/6.45 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s105, c_busy) | m_main_v_state(s105, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s105, c_busy) | m_main_v_state(s105, c_ready))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17425,plain,
% 8.96/6.45 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s105, c_busy) | m_main_v_state(s105, c_ready))),
% 8.96/6.45 inference(quant_inst,[status(thm)],[])).
% 8.96/6.45 tff(17426,plain,
% 8.96/6.45 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s105, c_busy) | m_main_v_state(s105, c_ready)),
% 8.96/6.45 inference(modus_ponens,[status(thm)],[17425, 17424])).
% 8.96/6.45 tff(17427,plain,
% 8.96/6.45 (m_main_v_state(s105, c_ready)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17426, 213, 17422])).
% 8.96/6.45 tff(17428,plain,
% 8.96/6.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s105, s106)) | node2(s105, s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s105, s106)) | node2(s105, s106))),
% 8.96/6.45 inference(rewrite,[status(thm)],[])).
% 8.96/6.45 tff(17429,plain,
% 8.96/6.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s105, s106)) | node2(s105, s106))),
% 8.96/6.45 inference(quant_inst,[status(thm)],[])).
% 8.96/6.45 tff(17430,plain,
% 8.96/6.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s105, s106)) | node2(s105, s106)),
% 8.96/6.45 inference(modus_ponens,[status(thm)],[17429, 17428])).
% 8.96/6.45 tff(17431,plain,
% 8.96/6.45 (node2(s105, s106)),
% 8.96/6.45 inference(unit_resolution,[status(thm)],[17430, 7, 8986])).
% 8.96/6.45 tff(17432,plain,
% 8.96/6.45 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s105, c_ready)) | (~node2(s105, s106)) | m_main_v_state(s106, c_busy) | (~m_main_v_request(s105)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s105, c_ready)) | (~node2(s105, s106)) | m_main_v_state(s106, c_busy) | (~m_main_v_request(s105)))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17433,plain,
% 8.96/6.46 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s105, c_ready)) | (~node2(s105, s106)) | m_main_v_state(s106, c_busy) | (~m_main_v_request(s105)))),
% 8.96/6.46 inference(quant_inst,[status(thm)],[])).
% 8.96/6.46 tff(17434,plain,
% 8.96/6.46 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s105, c_ready)) | (~node2(s105, s106)) | m_main_v_state(s106, c_busy) | (~m_main_v_request(s105))),
% 8.96/6.46 inference(modus_ponens,[status(thm)],[17433, 17432])).
% 8.96/6.46 tff(17435,plain,
% 8.96/6.46 ((~m_main_v_state(s105, c_ready)) | m_main_v_state(s106, c_busy) | (~m_main_v_request(s105))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17434, 191, 17431])).
% 8.96/6.46 tff(17436,plain,
% 8.96/6.46 (~m_main_v_request(s105)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17435, 17427, 17423])).
% 8.96/6.46 tff(17437,plain,
% 8.96/6.46 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s105) | (~node4(s105)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s105) | (~node4(s105)))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17438,plain,
% 8.96/6.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s105) | (~node4(s105)))),
% 8.96/6.46 inference(quant_inst,[status(thm)],[])).
% 8.96/6.46 tff(17439,plain,
% 8.96/6.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s105) | (~node4(s105))),
% 8.96/6.46 inference(modus_ponens,[status(thm)],[17438, 17437])).
% 8.96/6.46 tff(17440,plain,
% 8.96/6.46 (~node4(s105)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17439, 154, 17436])).
% 8.96/6.46 tff(17441,plain,
% 8.96/6.46 (~until5(s105)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17411, 17440])).
% 8.96/6.46 tff(17442,plain,
% 8.96/6.46 (~xuntil6(s104)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10352, 17441])).
% 8.96/6.46 tff(17443,plain,
% 8.96/6.46 (node4(s104)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17408, 17442])).
% 8.96/6.46 tff(17444,plain,
% 8.96/6.46 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s104) | (~node4(s104)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s104) | (~node4(s104)))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17445,plain,
% 8.96/6.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s104) | (~node4(s104)))),
% 8.96/6.46 inference(quant_inst,[status(thm)],[])).
% 8.96/6.46 tff(17446,plain,
% 8.96/6.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s104) | (~node4(s104))),
% 8.96/6.46 inference(modus_ponens,[status(thm)],[17445, 17444])).
% 8.96/6.46 tff(17447,plain,
% 8.96/6.46 (m_main_v_request(s104)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17446, 154, 17443])).
% 8.96/6.46 tff(17448,plain,
% 8.96/6.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s104, s105)) | node2(s104, s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s104, s105)) | node2(s104, s105))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17449,plain,
% 8.96/6.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s104, s105)) | node2(s104, s105))),
% 8.96/6.46 inference(quant_inst,[status(thm)],[])).
% 8.96/6.46 tff(17450,plain,
% 8.96/6.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s104, s105)) | node2(s104, s105)),
% 8.96/6.46 inference(modus_ponens,[status(thm)],[17449, 17448])).
% 8.96/6.46 tff(17451,plain,
% 8.96/6.46 (node2(s104, s105)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17450, 7, 8998])).
% 8.96/6.46 tff(17452,plain,
% 8.96/6.46 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s104, c_ready)) | (~node2(s104, s105)) | m_main_v_state(s105, c_busy) | (~m_main_v_request(s104)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s104, c_ready)) | (~node2(s104, s105)) | m_main_v_state(s105, c_busy) | (~m_main_v_request(s104)))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17453,plain,
% 8.96/6.46 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s104, c_ready)) | (~node2(s104, s105)) | m_main_v_state(s105, c_busy) | (~m_main_v_request(s104)))),
% 8.96/6.46 inference(quant_inst,[status(thm)],[])).
% 8.96/6.46 tff(17454,plain,
% 8.96/6.46 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s104, c_ready)) | (~node2(s104, s105)) | m_main_v_state(s105, c_busy) | (~m_main_v_request(s104))),
% 8.96/6.46 inference(modus_ponens,[status(thm)],[17453, 17452])).
% 8.96/6.46 tff(17455,plain,
% 8.96/6.46 ((~m_main_v_state(s104, c_ready)) | m_main_v_state(s105, c_busy) | (~m_main_v_request(s104))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17454, 191, 17451])).
% 8.96/6.46 tff(17456,plain,
% 8.96/6.46 (~m_main_v_state(s104, c_ready)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17455, 17447, 17422])).
% 8.96/6.46 tff(17457,plain,
% 8.96/6.46 (always3(s104)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10339, 22, 17443])).
% 8.96/6.46 tff(17458,plain,
% 8.96/6.46 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s104)) | (~m_main_v_state(s104, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s104)) | (~m_main_v_state(s104, c_busy)))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17459,plain,
% 8.96/6.46 (((~m_main_v_state(s104, c_busy)) | (~always3(s104))) <=> ((~always3(s104)) | (~m_main_v_state(s104, c_busy)))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17460,plain,
% 8.96/6.46 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s104, c_busy)) | (~always3(s104)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s104)) | (~m_main_v_state(s104, c_busy))))),
% 8.96/6.46 inference(monotonicity,[status(thm)],[17459])).
% 8.96/6.46 tff(17461,plain,
% 8.96/6.46 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s104, c_busy)) | (~always3(s104)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s104)) | (~m_main_v_state(s104, c_busy)))),
% 8.96/6.46 inference(transitivity,[status(thm)],[17460, 17458])).
% 8.96/6.46 tff(17462,plain,
% 8.96/6.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s104, c_busy)) | (~always3(s104)))),
% 8.96/6.46 inference(quant_inst,[status(thm)],[])).
% 8.96/6.46 tff(17463,plain,
% 8.96/6.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s104)) | (~m_main_v_state(s104, c_busy))),
% 8.96/6.46 inference(modus_ponens,[status(thm)],[17462, 17461])).
% 8.96/6.46 tff(17464,plain,
% 8.96/6.46 (~m_main_v_state(s104, c_busy)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17463, 170, 17457])).
% 8.96/6.46 tff(17465,plain,
% 8.96/6.46 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s104, c_busy) | m_main_v_state(s104, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s104, c_busy) | m_main_v_state(s104, c_ready))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17466,plain,
% 8.96/6.46 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s104, c_busy) | m_main_v_state(s104, c_ready))),
% 8.96/6.46 inference(quant_inst,[status(thm)],[])).
% 8.96/6.46 tff(17467,plain,
% 8.96/6.46 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s104, c_busy) | m_main_v_state(s104, c_ready)),
% 8.96/6.46 inference(modus_ponens,[status(thm)],[17466, 17465])).
% 8.96/6.46 tff(17468,plain,
% 8.96/6.46 ($false),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17467, 213, 17464, 17456])).
% 8.96/6.46 tff(17469,plain,((~until5(s104)) | xuntil6(s105) | m_main_v_state(s106, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.46 tff(17470,plain,
% 8.96/6.46 (~until5(s104)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17469, 17402, 17382])).
% 8.96/6.46 tff(17471,plain,
% 8.96/6.46 (~xuntil6(s103)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10335, 17470])).
% 8.96/6.46 tff(17472,assumption,(~always3(s103)), introduced(assumption)).
% 8.96/6.46 tff(17473,plain,
% 8.96/6.46 (~always3(s102)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[9026, 17472])).
% 8.96/6.46 tff(17474,plain,
% 8.96/6.46 (~node4(s102)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10305, 22, 17473])).
% 8.96/6.46 tff(17475,plain,
% 8.96/6.46 (~node4(s103)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10322, 22, 17472])).
% 8.96/6.46 tff(17476,assumption,(~xuntil6(s103)), introduced(assumption)).
% 8.96/6.46 tff(17477,plain,
% 8.96/6.46 (node4(s103) | (~until5(s103))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10329, 36, 17476])).
% 8.96/6.46 tff(17478,plain,
% 8.96/6.46 (~until5(s103)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17477, 17475])).
% 8.96/6.46 tff(17479,plain,
% 8.96/6.46 (~xuntil6(s102)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10318, 17478])).
% 8.96/6.46 tff(17480,plain,
% 8.96/6.46 (~until5(s102)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10312, 36, 17479, 17474])).
% 8.96/6.46 tff(17481,plain,
% 8.96/6.46 (~xuntil6(s101)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10301, 17480])).
% 8.96/6.46 tff(17482,plain,
% 8.96/6.46 (~always3(s101)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[9038, 17473])).
% 8.96/6.46 tff(17483,plain,
% 8.96/6.46 (~node4(s101)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10288, 22, 17482])).
% 8.96/6.46 tff(17484,plain,
% 8.96/6.46 (xuntil6(s101) | (~until5(s101))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10295, 36, 17483])).
% 8.96/6.46 tff(17485,plain,
% 8.96/6.46 (~until5(s101)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17484, 17481])).
% 8.96/6.46 tff(17486,plain,
% 8.96/6.46 (~xuntil6(s100)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10284, 17485])).
% 8.96/6.46 tff(17487,plain,
% 8.96/6.46 (~always3(s100)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[9050, 17482])).
% 8.96/6.46 tff(17488,plain,
% 8.96/6.46 (~node4(s100)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10271, 22, 17487])).
% 8.96/6.46 tff(17489,plain,
% 8.96/6.46 (xuntil6(s100) | (~until5(s100))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10278, 36, 17488])).
% 8.96/6.46 tff(17490,plain,
% 8.96/6.46 (~until5(s100)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17489, 17486])).
% 8.96/6.46 tff(17491,plain,
% 8.96/6.46 (~xuntil6(s99)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10267, 17490])).
% 8.96/6.46 tff(17492,plain,
% 8.96/6.46 (~always3(s99)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[9062, 17487])).
% 8.96/6.46 tff(17493,plain,
% 8.96/6.46 (~node4(s99)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10254, 22, 17492])).
% 8.96/6.46 tff(17494,plain,
% 8.96/6.46 (xuntil6(s99) | (~until5(s99))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10261, 36, 17493])).
% 8.96/6.46 tff(17495,plain,
% 8.96/6.46 (~until5(s99)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17494, 17491])).
% 8.96/6.46 tff(17496,plain,
% 8.96/6.46 (~xuntil6(s98)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10250, 17495])).
% 8.96/6.46 tff(17497,plain,
% 8.96/6.46 (~always3(s98)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[9074, 17492])).
% 8.96/6.46 tff(17498,plain,
% 8.96/6.46 (~node4(s98)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10237, 22, 17497])).
% 8.96/6.46 tff(17499,plain,
% 8.96/6.46 (xuntil6(s98) | (~until5(s98))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10244, 36, 17498])).
% 8.96/6.46 tff(17500,plain,
% 8.96/6.46 (~until5(s98)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17499, 17496])).
% 8.96/6.46 tff(17501,plain,
% 8.96/6.46 (~xuntil6(s97)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10233, 17500])).
% 8.96/6.46 tff(17502,plain,
% 8.96/6.46 (~always3(s97)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[9086, 17497])).
% 8.96/6.46 tff(17503,plain,
% 8.96/6.46 (~node4(s97)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10220, 22, 17502])).
% 8.96/6.46 tff(17504,plain,
% 8.96/6.46 (xuntil6(s97) | (~until5(s97))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10227, 36, 17503])).
% 8.96/6.46 tff(17505,plain,
% 8.96/6.46 (~until5(s97)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17504, 17501])).
% 8.96/6.46 tff(17506,plain,
% 8.96/6.46 (~always3(s96)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[9098, 17502])).
% 8.96/6.46 tff(17507,plain,
% 8.96/6.46 (~always3(s95)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[9110, 17506])).
% 8.96/6.46 tff(17508,plain,
% 8.96/6.46 (~always3(s94)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[9122, 17507])).
% 8.96/6.46 tff(17509,plain,
% 8.96/6.46 (~always3(s93)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[9134, 17508])).
% 8.96/6.46 tff(17510,plain,
% 8.96/6.46 (~always3(s92)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[9146, 17509])).
% 8.96/6.46 tff(17511,plain,
% 8.96/6.46 (~always3(s91)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[9158, 17510])).
% 8.96/6.46 tff(17512,plain,
% 8.96/6.46 (~node4(s91)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10118, 22, 17511])).
% 8.96/6.46 tff(17513,plain,
% 8.96/6.46 (~always3(s90)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[9170, 17511])).
% 8.96/6.46 tff(17514,plain,
% 8.96/6.46 (~node4(s90)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10101, 22, 17513])).
% 8.96/6.46 tff(17515,plain,
% 8.96/6.46 (xuntil6(s90)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[16829, 17514])).
% 8.96/6.46 tff(17516,plain,
% 8.96/6.46 (until5(s91)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10114, 17515])).
% 8.96/6.46 tff(17517,plain,
% 8.96/6.46 (xuntil6(s91)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10125, 36, 17516, 17512])).
% 8.96/6.46 tff(17518,plain,
% 8.96/6.46 (until5(s92)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10131, 17517])).
% 8.96/6.46 tff(17519,plain,
% 8.96/6.46 (~node4(s92)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10135, 22, 17510])).
% 8.96/6.46 tff(17520,plain,
% 8.96/6.46 (xuntil6(s92) | (~until5(s92))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10142, 36, 17519])).
% 8.96/6.46 tff(17521,plain,
% 8.96/6.46 (xuntil6(s92)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17520, 17518])).
% 8.96/6.46 tff(17522,plain,
% 8.96/6.46 (until5(s93)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10148, 17521])).
% 8.96/6.46 tff(17523,plain,
% 8.96/6.46 (~node4(s93)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10152, 22, 17509])).
% 8.96/6.46 tff(17524,plain,
% 8.96/6.46 (xuntil6(s93) | (~until5(s93))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10159, 36, 17523])).
% 8.96/6.46 tff(17525,plain,
% 8.96/6.46 (xuntil6(s93)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17524, 17522])).
% 8.96/6.46 tff(17526,plain,
% 8.96/6.46 (until5(s94)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10165, 17525])).
% 8.96/6.46 tff(17527,plain,
% 8.96/6.46 (~node4(s94)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10169, 22, 17508])).
% 8.96/6.46 tff(17528,plain,
% 8.96/6.46 (xuntil6(s94) | (~until5(s94))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10176, 36, 17527])).
% 8.96/6.46 tff(17529,plain,
% 8.96/6.46 (xuntil6(s94)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17528, 17526])).
% 8.96/6.46 tff(17530,plain,
% 8.96/6.46 (until5(s95)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10182, 17529])).
% 8.96/6.46 tff(17531,plain,
% 8.96/6.46 (~node4(s95)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10186, 22, 17507])).
% 8.96/6.46 tff(17532,plain,
% 8.96/6.46 (xuntil6(s95) | (~until5(s95))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10193, 36, 17531])).
% 8.96/6.46 tff(17533,plain,
% 8.96/6.46 (xuntil6(s95)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17532, 17530])).
% 8.96/6.46 tff(17534,plain,
% 8.96/6.46 (until5(s96)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10199, 17533])).
% 8.96/6.46 tff(17535,plain,
% 8.96/6.46 (~node4(s96)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10203, 22, 17506])).
% 8.96/6.46 tff(17536,plain,
% 8.96/6.46 (xuntil6(s96) | (~until5(s96))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10210, 36, 17535])).
% 8.96/6.46 tff(17537,plain,
% 8.96/6.46 (xuntil6(s96)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17536, 17534])).
% 8.96/6.46 tff(17538,plain,
% 8.96/6.46 ($false),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10216, 17537, 17505])).
% 8.96/6.46 tff(17539,plain,(always3(s103) | (~until5(s90)) | xuntil6(s103)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.46 tff(17540,plain,
% 8.96/6.46 (always3(s103)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17539, 17471, 16802])).
% 8.96/6.46 tff(17541,plain,
% 8.96/6.46 (always3(s104)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[9014, 17540])).
% 8.96/6.46 tff(17542,plain,
% 8.96/6.46 (~m_main_v_state(s104, c_busy)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17463, 170, 17541])).
% 8.96/6.46 tff(17543,plain,
% 8.96/6.46 (~node4(s90)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10101, 22, 16793])).
% 8.96/6.46 tff(17544,plain,
% 8.96/6.46 (xuntil6(s90) | (~until5(s90))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10108, 36, 17543])).
% 8.96/6.46 tff(17545,plain,
% 8.96/6.46 (xuntil6(s90)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17544, 16802])).
% 8.96/6.46 tff(17546,plain,
% 8.96/6.46 (until5(s91)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10114, 17545])).
% 8.96/6.46 tff(17547,plain,
% 8.96/6.46 (~node4(s91)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10118, 22, 16792])).
% 8.96/6.46 tff(17548,plain,
% 8.96/6.46 (xuntil6(s91) | (~until5(s91))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10125, 36, 17547])).
% 8.96/6.46 tff(17549,plain,
% 8.96/6.46 (xuntil6(s91)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17548, 17546])).
% 8.96/6.46 tff(17550,plain,
% 8.96/6.46 (until5(s92)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10131, 17549])).
% 8.96/6.46 tff(17551,plain,
% 8.96/6.46 (~node4(s92)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10135, 22, 16791])).
% 8.96/6.46 tff(17552,plain,
% 8.96/6.46 (xuntil6(s92) | (~until5(s92))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10142, 36, 17551])).
% 8.96/6.46 tff(17553,plain,
% 8.96/6.46 (xuntil6(s92)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17552, 17550])).
% 8.96/6.46 tff(17554,plain,
% 8.96/6.46 (until5(s93)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10148, 17553])).
% 8.96/6.46 tff(17555,plain,
% 8.96/6.46 (~node4(s93)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10152, 22, 16790])).
% 8.96/6.46 tff(17556,plain,
% 8.96/6.46 (xuntil6(s93) | (~until5(s93))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10159, 36, 17555])).
% 8.96/6.46 tff(17557,plain,
% 8.96/6.46 (xuntil6(s93)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17556, 17554])).
% 8.96/6.46 tff(17558,plain,
% 8.96/6.46 (until5(s94)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10165, 17557])).
% 8.96/6.46 tff(17559,plain,
% 8.96/6.46 (~node4(s95)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10186, 22, 16788])).
% 8.96/6.46 tff(17560,plain,
% 8.96/6.46 (~node4(s94)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10169, 22, 16789])).
% 8.96/6.46 tff(17561,assumption,(until5(s94)), introduced(assumption)).
% 8.96/6.46 tff(17562,plain,
% 8.96/6.46 (xuntil6(s94) | node4(s94)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10176, 36, 17561])).
% 8.96/6.46 tff(17563,plain,
% 8.96/6.46 (xuntil6(s94)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17562, 17560])).
% 8.96/6.46 tff(17564,plain,
% 8.96/6.46 (until5(s95)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10182, 17563])).
% 8.96/6.46 tff(17565,plain,
% 8.96/6.46 (xuntil6(s95)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10193, 36, 17564, 17559])).
% 8.96/6.46 tff(17566,plain,
% 8.96/6.46 (until5(s96)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10199, 17565])).
% 8.96/6.46 tff(17567,plain,
% 8.96/6.46 (~node4(s96)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10203, 22, 16787])).
% 8.96/6.46 tff(17568,plain,
% 8.96/6.46 (xuntil6(s96) | (~until5(s96))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10210, 36, 17567])).
% 8.96/6.46 tff(17569,plain,
% 8.96/6.46 (xuntil6(s96)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17568, 17566])).
% 8.96/6.46 tff(17570,plain,
% 8.96/6.46 (until5(s97)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10216, 17569])).
% 8.96/6.46 tff(17571,plain,
% 8.96/6.46 (~node4(s97)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10220, 22, 16786])).
% 8.96/6.46 tff(17572,plain,
% 8.96/6.46 (xuntil6(s97) | (~until5(s97))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10227, 36, 17571])).
% 8.96/6.46 tff(17573,plain,
% 8.96/6.46 (xuntil6(s97)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17572, 17570])).
% 8.96/6.46 tff(17574,plain,
% 8.96/6.46 (until5(s98)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10233, 17573])).
% 8.96/6.46 tff(17575,plain,
% 8.96/6.46 (~node4(s98)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10237, 22, 16785])).
% 8.96/6.46 tff(17576,plain,
% 8.96/6.46 (xuntil6(s98) | (~until5(s98))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10244, 36, 17575])).
% 8.96/6.46 tff(17577,plain,
% 8.96/6.46 (xuntil6(s98)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17576, 17574])).
% 8.96/6.46 tff(17578,plain,
% 8.96/6.46 (until5(s99)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10250, 17577])).
% 8.96/6.46 tff(17579,plain,
% 8.96/6.46 (~node4(s99)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10254, 22, 16784])).
% 8.96/6.46 tff(17580,plain,
% 8.96/6.46 (xuntil6(s99) | (~until5(s99))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10261, 36, 17579])).
% 8.96/6.46 tff(17581,plain,
% 8.96/6.46 (xuntil6(s99)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17580, 17578])).
% 8.96/6.46 tff(17582,plain,
% 8.96/6.46 (until5(s100)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10267, 17581])).
% 8.96/6.46 tff(17583,plain,
% 8.96/6.46 (~node4(s100)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10271, 22, 16783])).
% 8.96/6.46 tff(17584,plain,
% 8.96/6.46 (xuntil6(s100) | (~until5(s100))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10278, 36, 17583])).
% 8.96/6.46 tff(17585,plain,
% 8.96/6.46 (xuntil6(s100)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17584, 17582])).
% 8.96/6.46 tff(17586,plain,
% 8.96/6.46 (until5(s101)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10284, 17585])).
% 8.96/6.46 tff(17587,plain,
% 8.96/6.46 (~node4(s101)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10288, 22, 16782])).
% 8.96/6.46 tff(17588,plain,
% 8.96/6.46 (xuntil6(s101) | (~until5(s101))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10295, 36, 17587])).
% 8.96/6.46 tff(17589,plain,
% 8.96/6.46 (xuntil6(s101)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17588, 17586])).
% 8.96/6.46 tff(17590,plain,
% 8.96/6.46 (until5(s102)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10301, 17589])).
% 8.96/6.46 tff(17591,assumption,(~xuntil6(s102)), introduced(assumption)).
% 8.96/6.46 tff(17592,plain,
% 8.96/6.46 (node4(s102) | (~until5(s102))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10312, 36, 17591])).
% 8.96/6.46 tff(17593,plain,
% 8.96/6.46 (node4(s102)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17592, 17590])).
% 8.96/6.46 tff(17594,plain,
% 8.96/6.46 ($false),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10305, 22, 16781, 17593])).
% 8.96/6.46 tff(17595,plain,(always3(s102) | xuntil6(s102) | (~until5(s94))), inference(lemma,lemma(discharge,[]))).
% 8.96/6.46 tff(17596,plain,
% 8.96/6.46 (xuntil6(s102)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17595, 17558, 16781])).
% 8.96/6.46 tff(17597,plain,
% 8.96/6.46 (until5(s103)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10318, 17596])).
% 8.96/6.46 tff(17598,plain,
% 8.96/6.46 (xuntil6(s103) | node4(s103)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10329, 36, 17597])).
% 8.96/6.46 tff(17599,plain,
% 8.96/6.46 (node4(s103)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17598, 17471])).
% 8.96/6.46 tff(17600,plain,
% 8.96/6.46 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s103) | (~node4(s103)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s103) | (~node4(s103)))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17601,plain,
% 8.96/6.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s103) | (~node4(s103)))),
% 8.96/6.46 inference(quant_inst,[status(thm)],[])).
% 8.96/6.46 tff(17602,plain,
% 8.96/6.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s103) | (~node4(s103))),
% 8.96/6.46 inference(modus_ponens,[status(thm)],[17601, 17600])).
% 8.96/6.46 tff(17603,plain,
% 8.96/6.46 (m_main_v_request(s103)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17602, 154, 17599])).
% 8.96/6.46 tff(17604,plain,
% 8.96/6.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s103, s104)) | node2(s103, s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s103, s104)) | node2(s103, s104))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17605,plain,
% 8.96/6.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s103, s104)) | node2(s103, s104))),
% 8.96/6.46 inference(quant_inst,[status(thm)],[])).
% 8.96/6.46 tff(17606,plain,
% 8.96/6.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s103, s104)) | node2(s103, s104)),
% 8.96/6.46 inference(modus_ponens,[status(thm)],[17605, 17604])).
% 8.96/6.46 tff(17607,plain,
% 8.96/6.46 (node2(s103, s104)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17606, 7, 9010])).
% 8.96/6.46 tff(17608,plain,
% 8.96/6.46 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s103, c_ready)) | (~node2(s103, s104)) | m_main_v_state(s104, c_busy) | (~m_main_v_request(s103)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s103, c_ready)) | (~node2(s103, s104)) | m_main_v_state(s104, c_busy) | (~m_main_v_request(s103)))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17609,plain,
% 8.96/6.46 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s103, c_ready)) | (~node2(s103, s104)) | m_main_v_state(s104, c_busy) | (~m_main_v_request(s103)))),
% 8.96/6.46 inference(quant_inst,[status(thm)],[])).
% 8.96/6.46 tff(17610,plain,
% 8.96/6.46 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s103, c_ready)) | (~node2(s103, s104)) | m_main_v_state(s104, c_busy) | (~m_main_v_request(s103))),
% 8.96/6.46 inference(modus_ponens,[status(thm)],[17609, 17608])).
% 8.96/6.46 tff(17611,plain,
% 8.96/6.46 ((~m_main_v_state(s103, c_ready)) | m_main_v_state(s104, c_busy) | (~m_main_v_request(s103))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17610, 191, 17607])).
% 8.96/6.46 tff(17612,plain,
% 8.96/6.46 (~m_main_v_state(s103, c_ready)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17611, 17603, 17542])).
% 8.96/6.46 tff(17613,plain,
% 8.96/6.46 (((~![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)))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17614,plain,
% 8.96/6.46 (((~m_main_v_state(s103, c_busy)) | (~always3(s103))) <=> ((~always3(s103)) | (~m_main_v_state(s103, c_busy)))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17615,plain,
% 8.96/6.46 (((~![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))))),
% 8.96/6.46 inference(monotonicity,[status(thm)],[17614])).
% 8.96/6.46 tff(17616,plain,
% 8.96/6.46 (((~![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)))),
% 8.96/6.46 inference(transitivity,[status(thm)],[17615, 17613])).
% 8.96/6.46 tff(17617,plain,
% 8.96/6.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s103, c_busy)) | (~always3(s103)))),
% 8.96/6.46 inference(quant_inst,[status(thm)],[])).
% 8.96/6.46 tff(17618,plain,
% 8.96/6.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s103)) | (~m_main_v_state(s103, c_busy))),
% 8.96/6.46 inference(modus_ponens,[status(thm)],[17617, 17616])).
% 8.96/6.46 tff(17619,plain,
% 8.96/6.46 (~m_main_v_state(s103, c_busy)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17618, 170, 17540])).
% 8.96/6.46 tff(17620,plain,
% 8.96/6.46 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s103, c_busy) | m_main_v_state(s103, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s103, c_busy) | m_main_v_state(s103, c_ready))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17621,plain,
% 8.96/6.46 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s103, c_busy) | m_main_v_state(s103, c_ready))),
% 8.96/6.46 inference(quant_inst,[status(thm)],[])).
% 8.96/6.46 tff(17622,plain,
% 8.96/6.46 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s103, c_busy) | m_main_v_state(s103, c_ready)),
% 8.96/6.46 inference(modus_ponens,[status(thm)],[17621, 17620])).
% 8.96/6.46 tff(17623,plain,
% 8.96/6.46 ($false),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17622, 213, 17619, 17612])).
% 8.96/6.46 tff(17624,plain,(always3(s102) | xuntil6(s112) | m_main_v_state(s113, c_busy) | (~until5(s88))), inference(lemma,lemma(discharge,[]))).
% 8.96/6.46 tff(17625,plain,
% 8.96/6.46 (always3(s102)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17624, 16780, 16779, 16778])).
% 8.96/6.46 tff(17626,plain,
% 8.96/6.46 (always3(s103)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[9026, 17625])).
% 8.96/6.46 tff(17627,plain,
% 8.96/6.46 (always3(s104)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[9014, 17626])).
% 8.96/6.46 tff(17628,plain,
% 8.96/6.46 (always3(s105)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[9002, 17627])).
% 8.96/6.46 tff(17629,plain,
% 8.96/6.46 (always3(s106)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[8990, 17628])).
% 8.96/6.46 tff(17630,plain,
% 8.96/6.46 (~m_main_v_state(s106, c_busy)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17381, 170, 17629])).
% 8.96/6.46 tff(17631,plain,
% 8.96/6.46 (always3(s107)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[8978, 17629])).
% 8.96/6.46 tff(17632,plain,
% 8.96/6.46 (always3(s108)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[8966, 17631])).
% 8.96/6.46 tff(17633,plain,
% 8.96/6.46 (always3(s109)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[8954, 17632])).
% 8.96/6.46 tff(17634,plain,
% 8.96/6.46 (always3(s110)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[8942, 17633])).
% 8.96/6.46 tff(17635,plain,
% 8.96/6.46 (~m_main_v_state(s110, c_busy)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17005, 170, 17634])).
% 8.96/6.46 tff(17636,plain,
% 8.96/6.46 (~m_main_v_state(s109, c_busy)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17118, 170, 17633])).
% 8.96/6.46 tff(17637,plain,
% 8.96/6.46 (m_main_v_state(s109, c_ready)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17153, 213, 17636])).
% 8.96/6.46 tff(17638,plain,
% 8.96/6.46 (~m_main_v_request(s109)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17162, 17637, 17635])).
% 8.96/6.46 tff(17639,plain,
% 8.96/6.46 (~node4(s109)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17166, 154, 17638])).
% 8.96/6.46 tff(17640,plain,
% 8.96/6.46 (always3(s111)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[8930, 17634])).
% 8.96/6.46 tff(17641,plain,
% 8.96/6.46 (always3(s112)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[8918, 17640])).
% 8.96/6.46 tff(17642,plain,
% 8.96/6.46 (~m_main_v_state(s112, c_busy)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[16924, 170, 17641])).
% 8.96/6.46 tff(17643,plain,
% 8.96/6.46 (m_main_v_state(s112, c_ready)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[16928, 213, 17642])).
% 8.96/6.46 tff(17644,plain,
% 8.96/6.46 (~m_main_v_request(s112)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[16937, 17643, 16779])).
% 8.96/6.46 tff(17645,plain,
% 8.96/6.46 (~node4(s112)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[16941, 154, 17644])).
% 8.96/6.46 tff(17646,plain,
% 8.96/6.46 (~until5(s112)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[16914, 17645])).
% 8.96/6.46 tff(17647,plain,
% 8.96/6.46 (~xuntil6(s111)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10471, 17646])).
% 8.96/6.46 tff(17648,plain,
% 8.96/6.46 (~until5(s110)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17011, 17647, 17642])).
% 8.96/6.46 tff(17649,plain,
% 8.96/6.46 (~xuntil6(s109)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10437, 17648])).
% 8.96/6.46 tff(17650,plain,
% 8.96/6.46 (~until5(s109)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10431, 36, 17649, 17639])).
% 8.96/6.46 tff(17651,plain,
% 8.96/6.46 (~xuntil6(s108)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10420, 17650])).
% 8.96/6.46 tff(17652,plain,
% 8.96/6.46 (~node4(s108)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17147, 17636])).
% 8.96/6.46 tff(17653,plain,
% 8.96/6.46 (xuntil6(s108) | (~until5(s108))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10414, 36, 17652])).
% 8.96/6.46 tff(17654,plain,
% 8.96/6.46 (~until5(s108)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17653, 17651])).
% 8.96/6.46 tff(17655,plain,
% 8.96/6.46 (~xuntil6(s107)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10403, 17654])).
% 8.96/6.46 tff(17656,plain,
% 8.96/6.46 (~m_main_v_state(s108, c_busy)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17141, 170, 17632])).
% 8.96/6.46 tff(17657,plain,
% 8.96/6.46 (~m_main_v_state(s107, c_busy)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17269, 170, 17631])).
% 8.96/6.46 tff(17658,plain,
% 8.96/6.46 (m_main_v_state(s107, c_ready)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17273, 213, 17657])).
% 8.96/6.46 tff(17659,plain,
% 8.96/6.46 (~m_main_v_request(s107)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17282, 17658, 17656])).
% 8.96/6.46 tff(17660,plain,
% 8.96/6.46 (~node4(s107)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17286, 154, 17659])).
% 8.96/6.46 tff(17661,plain,
% 8.96/6.46 (xuntil6(s107) | (~until5(s107))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10397, 36, 17660])).
% 8.96/6.46 tff(17662,plain,
% 8.96/6.46 (~until5(s107)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17661, 17655])).
% 8.96/6.46 tff(17663,plain,
% 8.96/6.46 (~xuntil6(s106)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10386, 17662])).
% 8.96/6.46 tff(17664,plain,
% 8.96/6.46 (m_main_v_state(s106, c_ready)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17385, 213, 17630])).
% 8.96/6.46 tff(17665,plain,
% 8.96/6.46 (~m_main_v_request(s106)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17394, 17664, 17657])).
% 8.96/6.46 tff(17666,plain,
% 8.96/6.46 (~node4(s106)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17398, 154, 17665])).
% 8.96/6.46 tff(17667,plain,
% 8.96/6.46 (xuntil6(s106) | (~until5(s106))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10380, 36, 17666])).
% 8.96/6.46 tff(17668,plain,
% 8.96/6.46 (~until5(s106)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17667, 17663])).
% 8.96/6.46 tff(17669,plain,
% 8.96/6.46 (~xuntil6(s105)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10369, 17668])).
% 8.96/6.46 tff(17670,plain,
% 8.96/6.46 (~until5(s104)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17469, 17669, 17630])).
% 8.96/6.46 tff(17671,plain,
% 8.96/6.46 (~xuntil6(s103)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10335, 17670])).
% 8.96/6.46 tff(17672,plain,
% 8.96/6.46 (~m_main_v_state(s104, c_busy)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17463, 170, 17627])).
% 8.96/6.46 tff(17673,plain,
% 8.96/6.46 (~m_main_v_state(s103, c_busy)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17618, 170, 17626])).
% 8.96/6.46 tff(17674,plain,
% 8.96/6.46 (m_main_v_state(s103, c_ready)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17622, 213, 17673])).
% 8.96/6.46 tff(17675,plain,
% 8.96/6.46 (~m_main_v_request(s103)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17611, 17674, 17672])).
% 8.96/6.46 tff(17676,plain,
% 8.96/6.46 (~node4(s103)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17602, 154, 17675])).
% 8.96/6.46 tff(17677,plain,
% 8.96/6.46 (xuntil6(s103) | (~until5(s103))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10329, 36, 17676])).
% 8.96/6.46 tff(17678,plain,
% 8.96/6.46 (~until5(s103)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17677, 17671])).
% 8.96/6.46 tff(17679,plain,
% 8.96/6.46 (~xuntil6(s102)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10318, 17678])).
% 8.96/6.46 tff(17680,plain,
% 8.96/6.46 (((~![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)))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17681,plain,
% 8.96/6.46 (((~m_main_v_state(s102, c_busy)) | (~always3(s102))) <=> ((~always3(s102)) | (~m_main_v_state(s102, c_busy)))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17682,plain,
% 8.96/6.46 (((~![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))))),
% 8.96/6.46 inference(monotonicity,[status(thm)],[17681])).
% 8.96/6.46 tff(17683,plain,
% 8.96/6.46 (((~![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)))),
% 8.96/6.46 inference(transitivity,[status(thm)],[17682, 17680])).
% 8.96/6.46 tff(17684,plain,
% 8.96/6.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s102, c_busy)) | (~always3(s102)))),
% 8.96/6.46 inference(quant_inst,[status(thm)],[])).
% 8.96/6.46 tff(17685,plain,
% 8.96/6.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s102)) | (~m_main_v_state(s102, c_busy))),
% 8.96/6.46 inference(modus_ponens,[status(thm)],[17684, 17683])).
% 8.96/6.46 tff(17686,plain,
% 8.96/6.46 (~m_main_v_state(s102, c_busy)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17685, 170, 17625])).
% 8.96/6.46 tff(17687,plain,
% 8.96/6.46 (((~![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))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17688,plain,
% 8.96/6.46 ((~![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))),
% 8.96/6.46 inference(quant_inst,[status(thm)],[])).
% 8.96/6.46 tff(17689,plain,
% 8.96/6.46 ((~![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)),
% 8.96/6.46 inference(modus_ponens,[status(thm)],[17688, 17687])).
% 8.96/6.46 tff(17690,plain,
% 8.96/6.46 (m_main_v_state(s102, c_ready)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17689, 213, 17686])).
% 8.96/6.46 tff(17691,plain,
% 8.96/6.46 (((~![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))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17692,plain,
% 8.96/6.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s102, s103)) | node2(s102, s103))),
% 8.96/6.46 inference(quant_inst,[status(thm)],[])).
% 8.96/6.46 tff(17693,plain,
% 8.96/6.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s102, s103)) | node2(s102, s103)),
% 8.96/6.46 inference(modus_ponens,[status(thm)],[17692, 17691])).
% 8.96/6.46 tff(17694,plain,
% 8.96/6.46 (node2(s102, s103)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17693, 7, 9022])).
% 8.96/6.46 tff(17695,plain,
% 8.96/6.46 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17696,plain,
% 8.96/6.46 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.96/6.46 inference(quant_inst,[status(thm)],[])).
% 8.96/6.46 tff(17697,plain,
% 8.96/6.46 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.96/6.46 inference(modus_ponens,[status(thm)],[17696, 17695])).
% 8.96/6.46 tff(17698,plain,
% 8.96/6.46 ((~m_main_v_state(s102, c_ready)) | m_main_v_state(s103, c_busy) | (~m_main_v_request(s102))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17697, 191, 17694])).
% 8.96/6.46 tff(17699,plain,
% 8.96/6.46 (~m_main_v_request(s102)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17698, 17690, 17673])).
% 8.96/6.46 tff(17700,plain,
% 8.96/6.46 (((~![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)))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17701,plain,
% 8.96/6.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s102) | (~node4(s102)))),
% 8.96/6.46 inference(quant_inst,[status(thm)],[])).
% 8.96/6.46 tff(17702,plain,
% 8.96/6.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s102) | (~node4(s102))),
% 8.96/6.46 inference(modus_ponens,[status(thm)],[17701, 17700])).
% 8.96/6.46 tff(17703,plain,
% 8.96/6.46 (~node4(s102)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17702, 154, 17699])).
% 8.96/6.46 tff(17704,plain,
% 8.96/6.46 (xuntil6(s102) | (~until5(s102))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10312, 36, 17703])).
% 8.96/6.46 tff(17705,plain,
% 8.96/6.46 (~until5(s102)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17704, 17679])).
% 8.96/6.46 tff(17706,plain,
% 8.96/6.46 (~xuntil6(s101)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10301, 17705])).
% 8.96/6.46 tff(17707,assumption,(~m_main_v_state(s102, c_busy)), introduced(assumption)).
% 8.96/6.46 tff(17708,assumption,(~xuntil6(s101)), introduced(assumption)).
% 8.96/6.46 tff(17709,assumption,(until5(s99)), introduced(assumption)).
% 8.96/6.46 tff(17710,assumption,(~always3(s101)), introduced(assumption)).
% 8.96/6.46 tff(17711,plain,
% 8.96/6.46 (~always3(s100)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[9050, 17710])).
% 8.96/6.46 tff(17712,plain,
% 8.96/6.46 (~node4(s100)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10271, 22, 17711])).
% 8.96/6.46 tff(17713,plain,
% 8.96/6.46 (~always3(s99)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[9062, 17711])).
% 8.96/6.46 tff(17714,plain,
% 8.96/6.46 (~node4(s99)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10254, 22, 17713])).
% 8.96/6.46 tff(17715,plain,
% 8.96/6.46 (xuntil6(s99) | node4(s99)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10261, 36, 17709])).
% 8.96/6.46 tff(17716,plain,
% 8.96/6.46 (xuntil6(s99)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17715, 17714])).
% 8.96/6.46 tff(17717,plain,
% 8.96/6.46 (until5(s100)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10267, 17716])).
% 8.96/6.46 tff(17718,plain,
% 8.96/6.46 (xuntil6(s100)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10278, 36, 17717, 17712])).
% 8.96/6.46 tff(17719,plain,
% 8.96/6.46 (until5(s101)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10284, 17718])).
% 8.96/6.46 tff(17720,plain,
% 8.96/6.46 (node4(s101) | (~until5(s101))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10295, 36, 17708])).
% 8.96/6.46 tff(17721,plain,
% 8.96/6.46 (node4(s101)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17720, 17719])).
% 8.96/6.46 tff(17722,plain,
% 8.96/6.46 ($false),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10288, 22, 17710, 17721])).
% 8.96/6.46 tff(17723,plain,(always3(s101) | xuntil6(s101) | (~until5(s99))), inference(lemma,lemma(discharge,[]))).
% 8.96/6.46 tff(17724,plain,
% 8.96/6.46 (always3(s101)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17723, 17709, 17708])).
% 8.96/6.46 tff(17725,plain,
% 8.96/6.46 (((~![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)))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17726,plain,
% 8.96/6.46 (((~m_main_v_state(s101, c_busy)) | (~always3(s101))) <=> ((~always3(s101)) | (~m_main_v_state(s101, c_busy)))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17727,plain,
% 8.96/6.46 (((~![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))))),
% 8.96/6.46 inference(monotonicity,[status(thm)],[17726])).
% 8.96/6.46 tff(17728,plain,
% 8.96/6.46 (((~![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)))),
% 8.96/6.46 inference(transitivity,[status(thm)],[17727, 17725])).
% 8.96/6.46 tff(17729,plain,
% 8.96/6.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s101, c_busy)) | (~always3(s101)))),
% 8.96/6.46 inference(quant_inst,[status(thm)],[])).
% 8.96/6.46 tff(17730,plain,
% 8.96/6.46 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s101)) | (~m_main_v_state(s101, c_busy))),
% 8.96/6.46 inference(modus_ponens,[status(thm)],[17729, 17728])).
% 8.96/6.46 tff(17731,plain,
% 8.96/6.46 (~m_main_v_state(s101, c_busy)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17730, 170, 17724])).
% 8.96/6.46 tff(17732,plain,
% 8.96/6.46 (((~![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))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17733,plain,
% 8.96/6.46 ((~![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))),
% 8.96/6.46 inference(quant_inst,[status(thm)],[])).
% 8.96/6.46 tff(17734,plain,
% 8.96/6.46 ((~![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)),
% 8.96/6.46 inference(modus_ponens,[status(thm)],[17733, 17732])).
% 8.96/6.46 tff(17735,plain,
% 8.96/6.46 (m_main_v_state(s101, c_ready)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17734, 213, 17731])).
% 8.96/6.46 tff(17736,assumption,(~m_main_v_state(s101, c_busy)), introduced(assumption)).
% 8.96/6.46 tff(17737,assumption,(node4(s100)), introduced(assumption)).
% 8.96/6.46 tff(17738,plain,
% 8.96/6.46 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s100) | (~node4(s100)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s100) | (~node4(s100)))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17739,plain,
% 8.96/6.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s100) | (~node4(s100)))),
% 8.96/6.46 inference(quant_inst,[status(thm)],[])).
% 8.96/6.46 tff(17740,plain,
% 8.96/6.46 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s100) | (~node4(s100))),
% 8.96/6.46 inference(modus_ponens,[status(thm)],[17739, 17738])).
% 8.96/6.46 tff(17741,plain,
% 8.96/6.46 (m_main_v_request(s100)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17740, 154, 17737])).
% 8.96/6.46 tff(17742,plain,
% 8.96/6.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s100, s101)) | node2(s100, s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s100, s101)) | node2(s100, s101))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17743,plain,
% 8.96/6.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s100, s101)) | node2(s100, s101))),
% 8.96/6.46 inference(quant_inst,[status(thm)],[])).
% 8.96/6.46 tff(17744,plain,
% 8.96/6.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s100, s101)) | node2(s100, s101)),
% 8.96/6.46 inference(modus_ponens,[status(thm)],[17743, 17742])).
% 8.96/6.46 tff(17745,plain,
% 8.96/6.46 (node2(s100, s101)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17744, 7, 9046])).
% 8.96/6.46 tff(17746,plain,
% 8.96/6.46 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s100, c_ready)) | (~node2(s100, s101)) | m_main_v_state(s101, c_busy) | (~m_main_v_request(s100)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s100, c_ready)) | (~node2(s100, s101)) | m_main_v_state(s101, c_busy) | (~m_main_v_request(s100)))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17747,plain,
% 8.96/6.46 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s100, c_ready)) | (~node2(s100, s101)) | m_main_v_state(s101, c_busy) | (~m_main_v_request(s100)))),
% 8.96/6.46 inference(quant_inst,[status(thm)],[])).
% 8.96/6.46 tff(17748,plain,
% 8.96/6.46 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s100, c_ready)) | (~node2(s100, s101)) | m_main_v_state(s101, c_busy) | (~m_main_v_request(s100))),
% 8.96/6.46 inference(modus_ponens,[status(thm)],[17747, 17746])).
% 8.96/6.46 tff(17749,plain,
% 8.96/6.46 ((~m_main_v_state(s100, c_ready)) | m_main_v_state(s101, c_busy) | (~m_main_v_request(s100))),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17748, 191, 17745])).
% 8.96/6.46 tff(17750,plain,
% 8.96/6.46 (~m_main_v_state(s100, c_ready)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[17749, 17741, 17736])).
% 8.96/6.46 tff(17751,plain,
% 8.96/6.46 (always3(s100)),
% 8.96/6.46 inference(unit_resolution,[status(thm)],[10271, 22, 17737])).
% 8.96/6.46 tff(17752,plain,
% 8.96/6.46 (((~![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)))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17753,plain,
% 8.96/6.46 (((~m_main_v_state(s100, c_busy)) | (~always3(s100))) <=> ((~always3(s100)) | (~m_main_v_state(s100, c_busy)))),
% 8.96/6.46 inference(rewrite,[status(thm)],[])).
% 8.96/6.46 tff(17754,plain,
% 8.96/6.46 (((~![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))))),
% 8.96/6.46 inference(monotonicity,[status(thm)],[17753])).
% 8.96/6.46 tff(17755,plain,
% 8.96/6.46 (((~![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)))),
% 8.96/6.47 inference(transitivity,[status(thm)],[17754, 17752])).
% 8.96/6.47 tff(17756,plain,
% 8.96/6.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s100, c_busy)) | (~always3(s100)))),
% 8.96/6.47 inference(quant_inst,[status(thm)],[])).
% 8.96/6.47 tff(17757,plain,
% 8.96/6.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s100)) | (~m_main_v_state(s100, c_busy))),
% 8.96/6.47 inference(modus_ponens,[status(thm)],[17756, 17755])).
% 8.96/6.47 tff(17758,plain,
% 8.96/6.47 (~m_main_v_state(s100, c_busy)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17757, 170, 17751])).
% 8.96/6.47 tff(17759,plain,
% 8.96/6.47 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s100, c_busy) | m_main_v_state(s100, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s100, c_busy) | m_main_v_state(s100, c_ready))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17760,plain,
% 8.96/6.47 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s100, c_busy) | m_main_v_state(s100, c_ready))),
% 8.96/6.47 inference(quant_inst,[status(thm)],[])).
% 8.96/6.47 tff(17761,plain,
% 8.96/6.47 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s100, c_busy) | m_main_v_state(s100, c_ready)),
% 8.96/6.47 inference(modus_ponens,[status(thm)],[17760, 17759])).
% 8.96/6.47 tff(17762,plain,
% 8.96/6.47 ($false),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17761, 213, 17758, 17750])).
% 8.96/6.47 tff(17763,plain,((~node4(s100)) | m_main_v_state(s101, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.47 tff(17764,plain,
% 8.96/6.47 (~node4(s100)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17763, 17731])).
% 8.96/6.47 tff(17765,assumption,(node4(s99)), introduced(assumption)).
% 8.96/6.47 tff(17766,plain,
% 8.96/6.47 (((~![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)))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17767,plain,
% 8.96/6.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s99) | (~node4(s99)))),
% 8.96/6.47 inference(quant_inst,[status(thm)],[])).
% 8.96/6.47 tff(17768,plain,
% 8.96/6.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s99) | (~node4(s99))),
% 8.96/6.47 inference(modus_ponens,[status(thm)],[17767, 17766])).
% 8.96/6.47 tff(17769,plain,
% 8.96/6.47 (m_main_v_request(s99)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17768, 154, 17765])).
% 8.96/6.47 tff(17770,plain,
% 8.96/6.47 (always3(s99)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10254, 22, 17765])).
% 8.96/6.47 tff(17771,plain,
% 8.96/6.47 (always3(s100)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[9062, 17770])).
% 8.96/6.47 tff(17772,plain,
% 8.96/6.47 (~m_main_v_state(s100, c_busy)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17757, 170, 17771])).
% 8.96/6.47 tff(17773,plain,
% 8.96/6.47 (((~![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))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17774,plain,
% 8.96/6.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s100)) | node2(s99, s100))),
% 8.96/6.47 inference(quant_inst,[status(thm)],[])).
% 8.96/6.47 tff(17775,plain,
% 8.96/6.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s100)) | node2(s99, s100)),
% 8.96/6.47 inference(modus_ponens,[status(thm)],[17774, 17773])).
% 8.96/6.47 tff(17776,plain,
% 8.96/6.47 (node2(s99, s100)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17775, 7, 9058])).
% 8.96/6.47 tff(17777,plain,
% 8.96/6.47 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17778,plain,
% 8.96/6.47 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.96/6.47 inference(quant_inst,[status(thm)],[])).
% 8.96/6.47 tff(17779,plain,
% 8.96/6.47 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.96/6.47 inference(modus_ponens,[status(thm)],[17778, 17777])).
% 8.96/6.47 tff(17780,plain,
% 8.96/6.47 ((~m_main_v_state(s99, c_ready)) | m_main_v_state(s100, c_busy) | (~m_main_v_request(s99))),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17779, 191, 17776])).
% 8.96/6.47 tff(17781,plain,
% 8.96/6.47 (~m_main_v_state(s99, c_ready)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17780, 17772, 17769])).
% 8.96/6.47 tff(17782,plain,
% 8.96/6.47 (((~![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)))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17783,plain,
% 8.96/6.47 (((~m_main_v_state(s99, c_busy)) | (~always3(s99))) <=> ((~always3(s99)) | (~m_main_v_state(s99, c_busy)))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17784,plain,
% 8.96/6.47 (((~![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))))),
% 8.96/6.47 inference(monotonicity,[status(thm)],[17783])).
% 8.96/6.47 tff(17785,plain,
% 8.96/6.47 (((~![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)))),
% 8.96/6.47 inference(transitivity,[status(thm)],[17784, 17782])).
% 8.96/6.47 tff(17786,plain,
% 8.96/6.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s99, c_busy)) | (~always3(s99)))),
% 8.96/6.47 inference(quant_inst,[status(thm)],[])).
% 8.96/6.47 tff(17787,plain,
% 8.96/6.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s99)) | (~m_main_v_state(s99, c_busy))),
% 8.96/6.47 inference(modus_ponens,[status(thm)],[17786, 17785])).
% 8.96/6.47 tff(17788,plain,
% 8.96/6.47 (~m_main_v_state(s99, c_busy)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17787, 170, 17770])).
% 8.96/6.47 tff(17789,plain,
% 8.96/6.47 (((~![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))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17790,plain,
% 8.96/6.47 ((~![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))),
% 8.96/6.47 inference(quant_inst,[status(thm)],[])).
% 8.96/6.47 tff(17791,plain,
% 8.96/6.47 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s99, c_busy) | m_main_v_state(s99, c_ready)),
% 8.96/6.47 inference(modus_ponens,[status(thm)],[17790, 17789])).
% 8.96/6.47 tff(17792,plain,
% 8.96/6.47 ($false),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17791, 213, 17788, 17781])).
% 8.96/6.47 tff(17793,plain,(~node4(s99)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.47 tff(17794,plain,
% 8.96/6.47 (xuntil6(s99) | (~until5(s99))),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10261, 36, 17793])).
% 8.96/6.47 tff(17795,plain,
% 8.96/6.47 (xuntil6(s99)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17794, 17709])).
% 8.96/6.47 tff(17796,plain,
% 8.96/6.47 (until5(s100)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10267, 17795])).
% 8.96/6.47 tff(17797,plain,
% 8.96/6.47 (xuntil6(s100) | node4(s100)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10278, 36, 17796])).
% 8.96/6.47 tff(17798,plain,
% 8.96/6.47 (xuntil6(s100)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17797, 17764])).
% 8.96/6.47 tff(17799,plain,
% 8.96/6.47 (until5(s101)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10284, 17798])).
% 8.96/6.47 tff(17800,plain,
% 8.96/6.47 (node4(s101)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17720, 17799])).
% 8.96/6.47 tff(17801,plain,
% 8.96/6.47 (((~![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)))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17802,plain,
% 8.96/6.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s101) | (~node4(s101)))),
% 8.96/6.47 inference(quant_inst,[status(thm)],[])).
% 8.96/6.47 tff(17803,plain,
% 8.96/6.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s101) | (~node4(s101))),
% 8.96/6.47 inference(modus_ponens,[status(thm)],[17802, 17801])).
% 8.96/6.47 tff(17804,plain,
% 8.96/6.47 (m_main_v_request(s101)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17803, 154, 17800])).
% 8.96/6.47 tff(17805,plain,
% 8.96/6.47 (((~![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))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17806,plain,
% 8.96/6.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s101, s102)) | node2(s101, s102))),
% 8.96/6.47 inference(quant_inst,[status(thm)],[])).
% 8.96/6.47 tff(17807,plain,
% 8.96/6.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s101, s102)) | node2(s101, s102)),
% 8.96/6.47 inference(modus_ponens,[status(thm)],[17806, 17805])).
% 8.96/6.47 tff(17808,plain,
% 8.96/6.47 (node2(s101, s102)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17807, 7, 9034])).
% 8.96/6.47 tff(17809,plain,
% 8.96/6.47 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17810,plain,
% 8.96/6.47 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.96/6.47 inference(quant_inst,[status(thm)],[])).
% 8.96/6.47 tff(17811,plain,
% 8.96/6.47 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s101, c_ready)) | (~node2(s101, s102)) | m_main_v_state(s102, c_busy) | (~m_main_v_request(s101))),
% 8.96/6.47 inference(modus_ponens,[status(thm)],[17810, 17809])).
% 8.96/6.47 tff(17812,plain,
% 8.96/6.47 ((~m_main_v_state(s101, c_ready)) | m_main_v_state(s102, c_busy) | (~m_main_v_request(s101))),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17811, 191, 17808])).
% 8.96/6.47 tff(17813,plain,
% 8.96/6.47 ($false),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17812, 17804, 17735, 17707])).
% 8.96/6.47 tff(17814,plain,((~until5(s99)) | m_main_v_state(s102, c_busy) | xuntil6(s101)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.47 tff(17815,plain,
% 8.96/6.47 (~until5(s99)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17814, 17686, 17706])).
% 8.96/6.47 tff(17816,plain,
% 8.96/6.47 (~xuntil6(s98)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10250, 17815])).
% 8.96/6.47 tff(17817,assumption,(~always3(s98)), introduced(assumption)).
% 8.96/6.47 tff(17818,plain,
% 8.96/6.47 (~always3(s97)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[9086, 17817])).
% 8.96/6.47 tff(17819,plain,
% 8.96/6.47 (~node4(s97)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10220, 22, 17818])).
% 8.96/6.47 tff(17820,plain,
% 8.96/6.47 (~node4(s98)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10237, 22, 17817])).
% 8.96/6.47 tff(17821,assumption,(~xuntil6(s98)), introduced(assumption)).
% 8.96/6.47 tff(17822,plain,
% 8.96/6.47 (node4(s98) | (~until5(s98))),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10244, 36, 17821])).
% 8.96/6.47 tff(17823,plain,
% 8.96/6.47 (~until5(s98)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17822, 17820])).
% 8.96/6.47 tff(17824,plain,
% 8.96/6.47 (~xuntil6(s97)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10233, 17823])).
% 8.96/6.47 tff(17825,plain,
% 8.96/6.47 (~until5(s97)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10227, 36, 17824, 17819])).
% 8.96/6.47 tff(17826,plain,
% 8.96/6.47 (~xuntil6(s96)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10216, 17825])).
% 8.96/6.47 tff(17827,plain,
% 8.96/6.47 (~always3(s96)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[9098, 17818])).
% 8.96/6.47 tff(17828,plain,
% 8.96/6.47 (~node4(s96)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10203, 22, 17827])).
% 8.96/6.47 tff(17829,plain,
% 8.96/6.47 (xuntil6(s96) | (~until5(s96))),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10210, 36, 17828])).
% 8.96/6.47 tff(17830,plain,
% 8.96/6.47 (~until5(s96)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17829, 17826])).
% 8.96/6.47 tff(17831,plain,
% 8.96/6.47 (~xuntil6(s95)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10199, 17830])).
% 8.96/6.47 tff(17832,plain,
% 8.96/6.47 (~always3(s95)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[9110, 17827])).
% 8.96/6.47 tff(17833,plain,
% 8.96/6.47 (~node4(s95)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10186, 22, 17832])).
% 8.96/6.47 tff(17834,plain,
% 8.96/6.47 (xuntil6(s95) | (~until5(s95))),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10193, 36, 17833])).
% 8.96/6.47 tff(17835,plain,
% 8.96/6.47 (~until5(s95)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17834, 17831])).
% 8.96/6.47 tff(17836,plain,
% 8.96/6.47 (~xuntil6(s94)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10182, 17835])).
% 8.96/6.47 tff(17837,plain,
% 8.96/6.47 (~always3(s94)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[9122, 17832])).
% 8.96/6.47 tff(17838,plain,
% 8.96/6.47 (~node4(s94)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10169, 22, 17837])).
% 8.96/6.47 tff(17839,plain,
% 8.96/6.47 (xuntil6(s94) | (~until5(s94))),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10176, 36, 17838])).
% 8.96/6.47 tff(17840,plain,
% 8.96/6.47 (~until5(s94)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17839, 17836])).
% 8.96/6.47 tff(17841,plain,
% 8.96/6.47 (~xuntil6(s93)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10165, 17840])).
% 8.96/6.47 tff(17842,plain,
% 8.96/6.47 (~always3(s93)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[9134, 17837])).
% 8.96/6.47 tff(17843,plain,
% 8.96/6.47 (~always3(s92)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[9146, 17842])).
% 8.96/6.47 tff(17844,plain,
% 8.96/6.47 (~always3(s91)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[9158, 17843])).
% 8.96/6.47 tff(17845,plain,
% 8.96/6.47 (~always3(s90)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[9170, 17844])).
% 8.96/6.47 tff(17846,plain,
% 8.96/6.47 (~always3(s89)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[9182, 17845])).
% 8.96/6.47 tff(17847,plain,
% 8.96/6.47 (~node4(s89)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10084, 22, 17846])).
% 8.96/6.47 tff(17848,plain,
% 8.96/6.47 (~always3(s88)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[9194, 17846])).
% 8.96/6.47 tff(17849,plain,
% 8.96/6.47 (~node4(s88)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10067, 22, 17848])).
% 8.96/6.47 tff(17850,plain,
% 8.96/6.47 (xuntil6(s88)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[16798, 17849])).
% 8.96/6.47 tff(17851,plain,
% 8.96/6.47 (until5(s89)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10080, 17850])).
% 8.96/6.47 tff(17852,plain,
% 8.96/6.47 (xuntil6(s89)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10091, 36, 17851, 17847])).
% 8.96/6.47 tff(17853,plain,
% 8.96/6.47 (until5(s90)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10097, 17852])).
% 8.96/6.47 tff(17854,plain,
% 8.96/6.47 (~node4(s90)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10101, 22, 17845])).
% 8.96/6.47 tff(17855,plain,
% 8.96/6.47 (xuntil6(s90) | (~until5(s90))),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10108, 36, 17854])).
% 8.96/6.47 tff(17856,plain,
% 8.96/6.47 (xuntil6(s90)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17855, 17853])).
% 8.96/6.47 tff(17857,plain,
% 8.96/6.47 (until5(s91)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10114, 17856])).
% 8.96/6.47 tff(17858,plain,
% 8.96/6.47 (~node4(s91)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10118, 22, 17844])).
% 8.96/6.47 tff(17859,plain,
% 8.96/6.47 (xuntil6(s91) | (~until5(s91))),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10125, 36, 17858])).
% 8.96/6.47 tff(17860,plain,
% 8.96/6.47 (xuntil6(s91)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17859, 17857])).
% 8.96/6.47 tff(17861,plain,
% 8.96/6.47 (until5(s92)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10131, 17860])).
% 8.96/6.47 tff(17862,plain,
% 8.96/6.47 (~node4(s92)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10135, 22, 17843])).
% 8.96/6.47 tff(17863,plain,
% 8.96/6.47 (xuntil6(s92) | (~until5(s92))),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10142, 36, 17862])).
% 8.96/6.47 tff(17864,plain,
% 8.96/6.47 (xuntil6(s92)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17863, 17861])).
% 8.96/6.47 tff(17865,plain,
% 8.96/6.47 (until5(s93)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10148, 17864])).
% 8.96/6.47 tff(17866,plain,
% 8.96/6.47 (~node4(s93)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10152, 22, 17842])).
% 8.96/6.47 tff(17867,plain,
% 8.96/6.47 (xuntil6(s93) | (~until5(s93))),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10159, 36, 17866])).
% 8.96/6.47 tff(17868,plain,
% 8.96/6.47 ($false),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17867, 17865, 17841])).
% 8.96/6.47 tff(17869,plain,(always3(s98) | (~until5(s88)) | xuntil6(s98)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.47 tff(17870,plain,
% 8.96/6.47 (always3(s98)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17869, 16780, 17816])).
% 8.96/6.47 tff(17871,plain,
% 8.96/6.47 (((~![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)))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17872,plain,
% 8.96/6.47 (((~m_main_v_state(s98, c_busy)) | (~always3(s98))) <=> ((~always3(s98)) | (~m_main_v_state(s98, c_busy)))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17873,plain,
% 8.96/6.47 (((~![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))))),
% 8.96/6.47 inference(monotonicity,[status(thm)],[17872])).
% 8.96/6.47 tff(17874,plain,
% 8.96/6.47 (((~![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)))),
% 8.96/6.47 inference(transitivity,[status(thm)],[17873, 17871])).
% 8.96/6.47 tff(17875,plain,
% 8.96/6.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s98, c_busy)) | (~always3(s98)))),
% 8.96/6.47 inference(quant_inst,[status(thm)],[])).
% 8.96/6.47 tff(17876,plain,
% 8.96/6.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s98)) | (~m_main_v_state(s98, c_busy))),
% 8.96/6.47 inference(modus_ponens,[status(thm)],[17875, 17874])).
% 8.96/6.47 tff(17877,plain,
% 8.96/6.47 (~m_main_v_state(s98, c_busy)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17876, 170, 17870])).
% 8.96/6.47 tff(17878,plain,
% 8.96/6.47 (always3(s99)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[9074, 17870])).
% 8.96/6.47 tff(17879,plain,
% 8.96/6.47 (~m_main_v_state(s99, c_busy)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17787, 170, 17878])).
% 8.96/6.47 tff(17880,plain,
% 8.96/6.47 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s98, c_busy) | m_main_v_state(s98, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s98, c_busy) | m_main_v_state(s98, c_ready))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17881,plain,
% 8.96/6.47 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s98, c_busy) | m_main_v_state(s98, c_ready))),
% 8.96/6.47 inference(quant_inst,[status(thm)],[])).
% 8.96/6.47 tff(17882,plain,
% 8.96/6.47 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s98, c_busy) | m_main_v_state(s98, c_ready)),
% 8.96/6.47 inference(modus_ponens,[status(thm)],[17881, 17880])).
% 8.96/6.47 tff(17883,plain,
% 8.96/6.47 (m_main_v_state(s98, c_ready)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17882, 213, 17877])).
% 8.96/6.47 tff(17884,plain,
% 8.96/6.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s98, s99)) | node2(s98, s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s98, s99)) | node2(s98, s99))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17885,plain,
% 8.96/6.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s98, s99)) | node2(s98, s99))),
% 8.96/6.47 inference(quant_inst,[status(thm)],[])).
% 8.96/6.47 tff(17886,plain,
% 8.96/6.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s98, s99)) | node2(s98, s99)),
% 8.96/6.47 inference(modus_ponens,[status(thm)],[17885, 17884])).
% 8.96/6.47 tff(17887,plain,
% 8.96/6.47 (node2(s98, s99)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17886, 7, 9070])).
% 8.96/6.47 tff(17888,plain,
% 8.96/6.47 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s98, c_ready)) | (~node2(s98, s99)) | m_main_v_state(s99, c_busy) | (~m_main_v_request(s98)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s98, c_ready)) | (~node2(s98, s99)) | m_main_v_state(s99, c_busy) | (~m_main_v_request(s98)))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17889,plain,
% 8.96/6.47 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s98, c_ready)) | (~node2(s98, s99)) | m_main_v_state(s99, c_busy) | (~m_main_v_request(s98)))),
% 8.96/6.47 inference(quant_inst,[status(thm)],[])).
% 8.96/6.47 tff(17890,plain,
% 8.96/6.47 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s98, c_ready)) | (~node2(s98, s99)) | m_main_v_state(s99, c_busy) | (~m_main_v_request(s98))),
% 8.96/6.47 inference(modus_ponens,[status(thm)],[17889, 17888])).
% 8.96/6.47 tff(17891,plain,
% 8.96/6.47 ((~m_main_v_state(s98, c_ready)) | m_main_v_state(s99, c_busy) | (~m_main_v_request(s98))),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17890, 191, 17887])).
% 8.96/6.47 tff(17892,plain,
% 8.96/6.47 (~m_main_v_request(s98)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17891, 17883, 17879])).
% 8.96/6.47 tff(17893,plain,
% 8.96/6.47 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s98) | (~node4(s98)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s98) | (~node4(s98)))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17894,plain,
% 8.96/6.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s98) | (~node4(s98)))),
% 8.96/6.47 inference(quant_inst,[status(thm)],[])).
% 8.96/6.47 tff(17895,plain,
% 8.96/6.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s98) | (~node4(s98))),
% 8.96/6.47 inference(modus_ponens,[status(thm)],[17894, 17893])).
% 8.96/6.47 tff(17896,plain,
% 8.96/6.47 (~node4(s98)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17895, 154, 17892])).
% 8.96/6.47 tff(17897,plain,
% 8.96/6.47 (node4(s98) | (~until5(s98))),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10244, 36, 17816])).
% 8.96/6.47 tff(17898,plain,
% 8.96/6.47 (~until5(s98)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17897, 17896])).
% 8.96/6.47 tff(17899,plain,
% 8.96/6.47 (~xuntil6(s97)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10233, 17898])).
% 8.96/6.47 tff(17900,assumption,(~xuntil6(s97)), introduced(assumption)).
% 8.96/6.47 tff(17901,assumption,(until5(s92)), introduced(assumption)).
% 8.96/6.47 tff(17902,assumption,(~always3(s97)), introduced(assumption)).
% 8.96/6.47 tff(17903,plain,
% 8.96/6.47 (~always3(s96)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[9098, 17902])).
% 8.96/6.47 tff(17904,plain,
% 8.96/6.47 (~always3(s95)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[9110, 17903])).
% 8.96/6.47 tff(17905,plain,
% 8.96/6.47 (~always3(s94)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[9122, 17904])).
% 8.96/6.47 tff(17906,plain,
% 8.96/6.47 (~always3(s93)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[9134, 17905])).
% 8.96/6.47 tff(17907,plain,
% 8.96/6.47 (~node4(s93)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10152, 22, 17906])).
% 8.96/6.47 tff(17908,plain,
% 8.96/6.47 (~always3(s92)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[9146, 17906])).
% 8.96/6.47 tff(17909,plain,
% 8.96/6.47 (~node4(s92)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10135, 22, 17908])).
% 8.96/6.47 tff(17910,plain,
% 8.96/6.47 (xuntil6(s92) | node4(s92)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10142, 36, 17901])).
% 8.96/6.47 tff(17911,plain,
% 8.96/6.47 (xuntil6(s92)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17910, 17909])).
% 8.96/6.47 tff(17912,plain,
% 8.96/6.47 (until5(s93)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10148, 17911])).
% 8.96/6.47 tff(17913,plain,
% 8.96/6.47 (xuntil6(s93)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10159, 36, 17912, 17907])).
% 8.96/6.47 tff(17914,plain,
% 8.96/6.47 (until5(s94)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10165, 17913])).
% 8.96/6.47 tff(17915,plain,
% 8.96/6.47 (~node4(s94)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10169, 22, 17905])).
% 8.96/6.47 tff(17916,plain,
% 8.96/6.47 (xuntil6(s94) | (~until5(s94))),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10176, 36, 17915])).
% 8.96/6.47 tff(17917,plain,
% 8.96/6.47 (xuntil6(s94)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17916, 17914])).
% 8.96/6.47 tff(17918,plain,
% 8.96/6.47 (until5(s95)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10182, 17917])).
% 8.96/6.47 tff(17919,plain,
% 8.96/6.47 (~node4(s95)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10186, 22, 17904])).
% 8.96/6.47 tff(17920,plain,
% 8.96/6.47 (xuntil6(s95) | (~until5(s95))),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10193, 36, 17919])).
% 8.96/6.47 tff(17921,plain,
% 8.96/6.47 (xuntil6(s95)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17920, 17918])).
% 8.96/6.47 tff(17922,plain,
% 8.96/6.47 (until5(s96)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10199, 17921])).
% 8.96/6.47 tff(17923,plain,
% 8.96/6.47 (~node4(s96)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10203, 22, 17903])).
% 8.96/6.47 tff(17924,plain,
% 8.96/6.47 (xuntil6(s96) | (~until5(s96))),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10210, 36, 17923])).
% 8.96/6.47 tff(17925,plain,
% 8.96/6.47 (xuntil6(s96)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17924, 17922])).
% 8.96/6.47 tff(17926,plain,
% 8.96/6.47 (until5(s97)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10216, 17925])).
% 8.96/6.47 tff(17927,plain,
% 8.96/6.47 (node4(s97) | (~until5(s97))),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10227, 36, 17900])).
% 8.96/6.47 tff(17928,plain,
% 8.96/6.47 (node4(s97)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17927, 17926])).
% 8.96/6.47 tff(17929,plain,
% 8.96/6.47 ($false),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10220, 22, 17902, 17928])).
% 8.96/6.47 tff(17930,plain,(always3(s97) | xuntil6(s97) | (~until5(s92))), inference(lemma,lemma(discharge,[]))).
% 8.96/6.47 tff(17931,plain,
% 8.96/6.47 (always3(s97)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17930, 17901, 17900])).
% 8.96/6.47 tff(17932,plain,
% 8.96/6.47 (((~![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)))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17933,plain,
% 8.96/6.47 (((~m_main_v_state(s97, c_busy)) | (~always3(s97))) <=> ((~always3(s97)) | (~m_main_v_state(s97, c_busy)))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17934,plain,
% 8.96/6.47 (((~![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))))),
% 8.96/6.47 inference(monotonicity,[status(thm)],[17933])).
% 8.96/6.47 tff(17935,plain,
% 8.96/6.47 (((~![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)))),
% 8.96/6.47 inference(transitivity,[status(thm)],[17934, 17932])).
% 8.96/6.47 tff(17936,plain,
% 8.96/6.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s97, c_busy)) | (~always3(s97)))),
% 8.96/6.47 inference(quant_inst,[status(thm)],[])).
% 8.96/6.47 tff(17937,plain,
% 8.96/6.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s97)) | (~m_main_v_state(s97, c_busy))),
% 8.96/6.47 inference(modus_ponens,[status(thm)],[17936, 17935])).
% 8.96/6.47 tff(17938,plain,
% 8.96/6.47 (~m_main_v_state(s97, c_busy)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17937, 170, 17931])).
% 8.96/6.47 tff(17939,assumption,(~m_main_v_state(s97, c_busy)), introduced(assumption)).
% 8.96/6.47 tff(17940,assumption,(node4(s96)), introduced(assumption)).
% 8.96/6.47 tff(17941,plain,
% 8.96/6.47 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s96) | (~node4(s96)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s96) | (~node4(s96)))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17942,plain,
% 8.96/6.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s96) | (~node4(s96)))),
% 8.96/6.47 inference(quant_inst,[status(thm)],[])).
% 8.96/6.47 tff(17943,plain,
% 8.96/6.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s96) | (~node4(s96))),
% 8.96/6.47 inference(modus_ponens,[status(thm)],[17942, 17941])).
% 8.96/6.47 tff(17944,plain,
% 8.96/6.47 (m_main_v_request(s96)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17943, 154, 17940])).
% 8.96/6.47 tff(17945,plain,
% 8.96/6.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s96, s97)) | node2(s96, s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s96, s97)) | node2(s96, s97))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17946,plain,
% 8.96/6.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s96, s97)) | node2(s96, s97))),
% 8.96/6.47 inference(quant_inst,[status(thm)],[])).
% 8.96/6.47 tff(17947,plain,
% 8.96/6.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s96, s97)) | node2(s96, s97)),
% 8.96/6.47 inference(modus_ponens,[status(thm)],[17946, 17945])).
% 8.96/6.47 tff(17948,plain,
% 8.96/6.47 (node2(s96, s97)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17947, 7, 9094])).
% 8.96/6.47 tff(17949,plain,
% 8.96/6.47 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s96, c_ready)) | (~node2(s96, s97)) | m_main_v_state(s97, c_busy) | (~m_main_v_request(s96)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s96, c_ready)) | (~node2(s96, s97)) | m_main_v_state(s97, c_busy) | (~m_main_v_request(s96)))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17950,plain,
% 8.96/6.47 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s96, c_ready)) | (~node2(s96, s97)) | m_main_v_state(s97, c_busy) | (~m_main_v_request(s96)))),
% 8.96/6.47 inference(quant_inst,[status(thm)],[])).
% 8.96/6.47 tff(17951,plain,
% 8.96/6.47 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s96, c_ready)) | (~node2(s96, s97)) | m_main_v_state(s97, c_busy) | (~m_main_v_request(s96))),
% 8.96/6.47 inference(modus_ponens,[status(thm)],[17950, 17949])).
% 8.96/6.47 tff(17952,plain,
% 8.96/6.47 ((~m_main_v_state(s96, c_ready)) | m_main_v_state(s97, c_busy) | (~m_main_v_request(s96))),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17951, 191, 17948])).
% 8.96/6.47 tff(17953,plain,
% 8.96/6.47 (~m_main_v_state(s96, c_ready)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17952, 17944, 17939])).
% 8.96/6.47 tff(17954,plain,
% 8.96/6.47 (always3(s96)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10203, 22, 17940])).
% 8.96/6.47 tff(17955,plain,
% 8.96/6.47 (((~![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)))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17956,plain,
% 8.96/6.47 (((~m_main_v_state(s96, c_busy)) | (~always3(s96))) <=> ((~always3(s96)) | (~m_main_v_state(s96, c_busy)))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17957,plain,
% 8.96/6.47 (((~![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))))),
% 8.96/6.47 inference(monotonicity,[status(thm)],[17956])).
% 8.96/6.47 tff(17958,plain,
% 8.96/6.47 (((~![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)))),
% 8.96/6.47 inference(transitivity,[status(thm)],[17957, 17955])).
% 8.96/6.47 tff(17959,plain,
% 8.96/6.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s96, c_busy)) | (~always3(s96)))),
% 8.96/6.47 inference(quant_inst,[status(thm)],[])).
% 8.96/6.47 tff(17960,plain,
% 8.96/6.47 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s96)) | (~m_main_v_state(s96, c_busy))),
% 8.96/6.47 inference(modus_ponens,[status(thm)],[17959, 17958])).
% 8.96/6.47 tff(17961,plain,
% 8.96/6.47 (~m_main_v_state(s96, c_busy)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17960, 170, 17954])).
% 8.96/6.47 tff(17962,plain,
% 8.96/6.47 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s96, c_busy) | m_main_v_state(s96, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s96, c_busy) | m_main_v_state(s96, c_ready))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17963,plain,
% 8.96/6.47 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s96, c_busy) | m_main_v_state(s96, c_ready))),
% 8.96/6.47 inference(quant_inst,[status(thm)],[])).
% 8.96/6.47 tff(17964,plain,
% 8.96/6.47 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s96, c_busy) | m_main_v_state(s96, c_ready)),
% 8.96/6.47 inference(modus_ponens,[status(thm)],[17963, 17962])).
% 8.96/6.47 tff(17965,plain,
% 8.96/6.47 ($false),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17964, 213, 17961, 17953])).
% 8.96/6.47 tff(17966,plain,((~node4(s96)) | m_main_v_state(s97, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.47 tff(17967,plain,
% 8.96/6.47 (~node4(s96)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17966, 17938])).
% 8.96/6.47 tff(17968,assumption,(~m_main_v_state(s98, c_busy)), introduced(assumption)).
% 8.96/6.47 tff(17969,plain,
% 8.96/6.47 (((~![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))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17970,plain,
% 8.96/6.47 ((~![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))),
% 8.96/6.47 inference(quant_inst,[status(thm)],[])).
% 8.96/6.47 tff(17971,plain,
% 8.96/6.47 ((~![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)),
% 8.96/6.47 inference(modus_ponens,[status(thm)],[17970, 17969])).
% 8.96/6.47 tff(17972,plain,
% 8.96/6.47 (m_main_v_state(s97, c_ready)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17971, 213, 17938])).
% 8.96/6.47 tff(17973,plain,
% 8.96/6.47 (((~![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))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17974,plain,
% 8.96/6.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s97, s98)) | node2(s97, s98))),
% 8.96/6.47 inference(quant_inst,[status(thm)],[])).
% 8.96/6.47 tff(17975,plain,
% 8.96/6.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s97, s98)) | node2(s97, s98)),
% 8.96/6.47 inference(modus_ponens,[status(thm)],[17974, 17973])).
% 8.96/6.47 tff(17976,plain,
% 8.96/6.47 (node2(s97, s98)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17975, 7, 9082])).
% 8.96/6.47 tff(17977,plain,
% 8.96/6.47 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17978,plain,
% 8.96/6.47 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.96/6.47 inference(quant_inst,[status(thm)],[])).
% 8.96/6.47 tff(17979,plain,
% 8.96/6.47 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.96/6.47 inference(modus_ponens,[status(thm)],[17978, 17977])).
% 8.96/6.47 tff(17980,plain,
% 8.96/6.47 ((~m_main_v_state(s97, c_ready)) | m_main_v_state(s98, c_busy) | (~m_main_v_request(s97))),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17979, 191, 17976])).
% 8.96/6.47 tff(17981,plain,
% 8.96/6.47 (~m_main_v_request(s97)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17980, 17972, 17968])).
% 8.96/6.47 tff(17982,plain,
% 8.96/6.47 (((~![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)))),
% 8.96/6.47 inference(rewrite,[status(thm)],[])).
% 8.96/6.47 tff(17983,plain,
% 8.96/6.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s97) | (~node4(s97)))),
% 8.96/6.47 inference(quant_inst,[status(thm)],[])).
% 8.96/6.47 tff(17984,plain,
% 8.96/6.47 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s97) | (~node4(s97))),
% 8.96/6.47 inference(modus_ponens,[status(thm)],[17983, 17982])).
% 8.96/6.47 tff(17985,plain,
% 8.96/6.47 (~node4(s97)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17984, 154, 17981])).
% 8.96/6.47 tff(17986,plain,
% 8.96/6.47 (~until5(s97)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17927, 17985])).
% 8.96/6.47 tff(17987,plain,
% 8.96/6.47 (~xuntil6(s96)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10216, 17986])).
% 8.96/6.47 tff(17988,plain,
% 8.96/6.47 (node4(s96) | (~until5(s96))),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10210, 36, 17987])).
% 8.96/6.47 tff(17989,plain,
% 8.96/6.47 (~until5(s96)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17988, 17967])).
% 8.96/6.47 tff(17990,plain,
% 8.96/6.47 (~xuntil6(s95)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10199, 17989])).
% 8.96/6.47 tff(17991,assumption,(~always3(s95)), introduced(assumption)).
% 8.96/6.47 tff(17992,plain,
% 8.96/6.47 (~always3(s94)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[9122, 17991])).
% 8.96/6.47 tff(17993,plain,
% 8.96/6.47 (~node4(s94)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10169, 22, 17992])).
% 8.96/6.47 tff(17994,plain,
% 8.96/6.47 (~node4(s95)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10186, 22, 17991])).
% 8.96/6.47 tff(17995,assumption,(~xuntil6(s95)), introduced(assumption)).
% 8.96/6.47 tff(17996,plain,
% 8.96/6.47 (node4(s95) | (~until5(s95))),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10193, 36, 17995])).
% 8.96/6.47 tff(17997,plain,
% 8.96/6.47 (~until5(s95)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[17996, 17994])).
% 8.96/6.47 tff(17998,plain,
% 8.96/6.47 (~xuntil6(s94)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10182, 17997])).
% 8.96/6.47 tff(17999,plain,
% 8.96/6.47 (~until5(s94)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10176, 36, 17998, 17993])).
% 8.96/6.47 tff(18000,plain,
% 8.96/6.47 (~always3(s93)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[9134, 17992])).
% 8.96/6.47 tff(18001,plain,
% 8.96/6.47 (~node4(s93)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10152, 22, 18000])).
% 8.96/6.47 tff(18002,plain,
% 8.96/6.47 (~always3(s92)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[9146, 18000])).
% 8.96/6.47 tff(18003,plain,
% 8.96/6.47 (~node4(s92)),
% 8.96/6.47 inference(unit_resolution,[status(thm)],[10135, 22, 18002])).
% 8.96/6.48 tff(18004,plain,
% 8.96/6.48 (xuntil6(s92)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[17910, 18003])).
% 8.96/6.48 tff(18005,plain,
% 8.96/6.48 (until5(s93)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10148, 18004])).
% 8.96/6.48 tff(18006,plain,
% 8.96/6.48 (xuntil6(s93)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10159, 36, 18005, 18001])).
% 8.96/6.48 tff(18007,plain,
% 8.96/6.48 ($false),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10165, 18006, 17999])).
% 8.96/6.48 tff(18008,plain,(always3(s95) | (~until5(s92)) | xuntil6(s95)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.48 tff(18009,plain,
% 8.96/6.48 (always3(s95)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18008, 17901, 17990])).
% 8.96/6.48 tff(18010,plain,
% 8.96/6.48 (((~![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)))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18011,plain,
% 8.96/6.48 (((~m_main_v_state(s95, c_busy)) | (~always3(s95))) <=> ((~always3(s95)) | (~m_main_v_state(s95, c_busy)))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18012,plain,
% 8.96/6.48 (((~![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))))),
% 8.96/6.48 inference(monotonicity,[status(thm)],[18011])).
% 8.96/6.48 tff(18013,plain,
% 8.96/6.48 (((~![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)))),
% 8.96/6.48 inference(transitivity,[status(thm)],[18012, 18010])).
% 8.96/6.48 tff(18014,plain,
% 8.96/6.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s95, c_busy)) | (~always3(s95)))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18015,plain,
% 8.96/6.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s95)) | (~m_main_v_state(s95, c_busy))),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18014, 18013])).
% 8.96/6.48 tff(18016,plain,
% 8.96/6.48 (~m_main_v_state(s95, c_busy)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18015, 170, 18009])).
% 8.96/6.48 tff(18017,assumption,(~m_main_v_state(s95, c_busy)), introduced(assumption)).
% 8.96/6.48 tff(18018,assumption,(node4(s94)), introduced(assumption)).
% 8.96/6.48 tff(18019,plain,
% 8.96/6.48 (((~![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)))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18020,plain,
% 8.96/6.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s94) | (~node4(s94)))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18021,plain,
% 8.96/6.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s94) | (~node4(s94))),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18020, 18019])).
% 8.96/6.48 tff(18022,plain,
% 8.96/6.48 (m_main_v_request(s94)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18021, 154, 18018])).
% 8.96/6.48 tff(18023,plain,
% 8.96/6.48 (((~![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))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18024,plain,
% 8.96/6.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s94, s95)) | node2(s94, s95))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18025,plain,
% 8.96/6.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s94, s95)) | node2(s94, s95)),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18024, 18023])).
% 8.96/6.48 tff(18026,plain,
% 8.96/6.48 (node2(s94, s95)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18025, 7, 9118])).
% 8.96/6.48 tff(18027,plain,
% 8.96/6.48 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18028,plain,
% 8.96/6.48 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18029,plain,
% 8.96/6.48 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18028, 18027])).
% 8.96/6.48 tff(18030,plain,
% 8.96/6.48 ((~m_main_v_state(s94, c_ready)) | m_main_v_state(s95, c_busy) | (~m_main_v_request(s94))),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18029, 191, 18026])).
% 8.96/6.48 tff(18031,plain,
% 8.96/6.48 (~m_main_v_state(s94, c_ready)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18030, 18022, 18017])).
% 8.96/6.48 tff(18032,plain,
% 8.96/6.48 (always3(s94)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10169, 22, 18018])).
% 8.96/6.48 tff(18033,plain,
% 8.96/6.48 (((~![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)))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18034,plain,
% 8.96/6.48 (((~m_main_v_state(s94, c_busy)) | (~always3(s94))) <=> ((~always3(s94)) | (~m_main_v_state(s94, c_busy)))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18035,plain,
% 8.96/6.48 (((~![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))))),
% 8.96/6.48 inference(monotonicity,[status(thm)],[18034])).
% 8.96/6.48 tff(18036,plain,
% 8.96/6.48 (((~![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)))),
% 8.96/6.48 inference(transitivity,[status(thm)],[18035, 18033])).
% 8.96/6.48 tff(18037,plain,
% 8.96/6.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s94, c_busy)) | (~always3(s94)))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18038,plain,
% 8.96/6.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s94)) | (~m_main_v_state(s94, c_busy))),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18037, 18036])).
% 8.96/6.48 tff(18039,plain,
% 8.96/6.48 (~m_main_v_state(s94, c_busy)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18038, 170, 18032])).
% 8.96/6.48 tff(18040,plain,
% 8.96/6.48 (((~![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))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18041,plain,
% 8.96/6.48 ((~![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))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18042,plain,
% 8.96/6.48 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s94, c_busy) | m_main_v_state(s94, c_ready)),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18041, 18040])).
% 8.96/6.48 tff(18043,plain,
% 8.96/6.48 ($false),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18042, 213, 18039, 18031])).
% 8.96/6.48 tff(18044,plain,((~node4(s94)) | m_main_v_state(s95, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.48 tff(18045,plain,
% 8.96/6.48 (~node4(s94)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18044, 18016])).
% 8.96/6.48 tff(18046,plain,
% 8.96/6.48 (always3(s96)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[9110, 18009])).
% 8.96/6.48 tff(18047,plain,
% 8.96/6.48 (~m_main_v_state(s96, c_busy)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[17960, 170, 18046])).
% 8.96/6.48 tff(18048,plain,
% 8.96/6.48 (((~![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))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18049,plain,
% 8.96/6.48 ((~![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))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18050,plain,
% 8.96/6.48 ((~![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)),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18049, 18048])).
% 8.96/6.48 tff(18051,plain,
% 8.96/6.48 (m_main_v_state(s95, c_ready)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18050, 213, 18016])).
% 8.96/6.48 tff(18052,plain,
% 8.96/6.48 (((~![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))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18053,plain,
% 8.96/6.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s95, s96)) | node2(s95, s96))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18054,plain,
% 8.96/6.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s95, s96)) | node2(s95, s96)),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18053, 18052])).
% 8.96/6.48 tff(18055,plain,
% 8.96/6.48 (node2(s95, s96)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18054, 7, 9106])).
% 8.96/6.48 tff(18056,plain,
% 8.96/6.48 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18057,plain,
% 8.96/6.48 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18058,plain,
% 8.96/6.48 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18057, 18056])).
% 8.96/6.48 tff(18059,plain,
% 8.96/6.48 ((~m_main_v_state(s95, c_ready)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s95))),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18058, 191, 18055])).
% 8.96/6.48 tff(18060,plain,
% 8.96/6.48 (~m_main_v_request(s95)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18059, 18051, 18047])).
% 8.96/6.48 tff(18061,plain,
% 8.96/6.48 (((~![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)))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18062,plain,
% 8.96/6.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s95) | (~node4(s95)))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18063,plain,
% 8.96/6.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s95) | (~node4(s95))),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18062, 18061])).
% 8.96/6.48 tff(18064,plain,
% 8.96/6.48 (~node4(s95)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18063, 154, 18060])).
% 8.96/6.48 tff(18065,plain,
% 8.96/6.48 (node4(s95) | (~until5(s95))),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10193, 36, 17990])).
% 8.96/6.48 tff(18066,plain,
% 8.96/6.48 (~until5(s95)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18065, 18064])).
% 8.96/6.48 tff(18067,plain,
% 8.96/6.48 (~xuntil6(s94)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10182, 18066])).
% 8.96/6.48 tff(18068,plain,
% 8.96/6.48 (node4(s94) | (~until5(s94))),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10176, 36, 18067])).
% 8.96/6.48 tff(18069,plain,
% 8.96/6.48 (~until5(s94)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18068, 18045])).
% 8.96/6.48 tff(18070,plain,
% 8.96/6.48 (~xuntil6(s93)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10165, 18069])).
% 8.96/6.48 tff(18071,assumption,(~always3(s93)), introduced(assumption)).
% 8.96/6.48 tff(18072,plain,
% 8.96/6.48 (~node4(s93)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10152, 22, 18071])).
% 8.96/6.48 tff(18073,assumption,(~xuntil6(s93)), introduced(assumption)).
% 8.96/6.48 tff(18074,plain,
% 8.96/6.48 (node4(s93) | (~until5(s93))),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10159, 36, 18073])).
% 8.96/6.48 tff(18075,plain,
% 8.96/6.48 (~until5(s93)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18074, 18072])).
% 8.96/6.48 tff(18076,plain,
% 8.96/6.48 (~always3(s92)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[9146, 18071])).
% 8.96/6.48 tff(18077,plain,
% 8.96/6.48 (~node4(s92)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10135, 22, 18076])).
% 8.96/6.48 tff(18078,plain,
% 8.96/6.48 (xuntil6(s92)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[17910, 18077])).
% 8.96/6.48 tff(18079,plain,
% 8.96/6.48 ($false),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10148, 18078, 18075])).
% 8.96/6.48 tff(18080,plain,(always3(s93) | (~until5(s92)) | xuntil6(s93)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.48 tff(18081,plain,
% 8.96/6.48 (always3(s93)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18080, 17901, 18070])).
% 8.96/6.48 tff(18082,plain,
% 8.96/6.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s93)) | (~m_main_v_state(s93, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s93)) | (~m_main_v_state(s93, c_busy)))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18083,plain,
% 8.96/6.48 (((~m_main_v_state(s93, c_busy)) | (~always3(s93))) <=> ((~always3(s93)) | (~m_main_v_state(s93, c_busy)))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18084,plain,
% 8.96/6.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s93, c_busy)) | (~always3(s93)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s93)) | (~m_main_v_state(s93, c_busy))))),
% 8.96/6.48 inference(monotonicity,[status(thm)],[18083])).
% 8.96/6.48 tff(18085,plain,
% 8.96/6.48 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s93, c_busy)) | (~always3(s93)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s93)) | (~m_main_v_state(s93, c_busy)))),
% 8.96/6.48 inference(transitivity,[status(thm)],[18084, 18082])).
% 8.96/6.48 tff(18086,plain,
% 8.96/6.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s93, c_busy)) | (~always3(s93)))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18087,plain,
% 8.96/6.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s93)) | (~m_main_v_state(s93, c_busy))),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18086, 18085])).
% 8.96/6.48 tff(18088,plain,
% 8.96/6.48 (~m_main_v_state(s93, c_busy)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18087, 170, 18081])).
% 8.96/6.48 tff(18089,plain,
% 8.96/6.48 (always3(s94)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[9134, 18081])).
% 8.96/6.48 tff(18090,plain,
% 8.96/6.48 (~m_main_v_state(s94, c_busy)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18038, 170, 18089])).
% 8.96/6.48 tff(18091,plain,
% 8.96/6.48 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s93, c_busy) | m_main_v_state(s93, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s93, c_busy) | m_main_v_state(s93, c_ready))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18092,plain,
% 8.96/6.48 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s93, c_busy) | m_main_v_state(s93, c_ready))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18093,plain,
% 8.96/6.48 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s93, c_busy) | m_main_v_state(s93, c_ready)),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18092, 18091])).
% 8.96/6.48 tff(18094,plain,
% 8.96/6.48 (m_main_v_state(s93, c_ready)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18093, 213, 18088])).
% 8.96/6.48 tff(18095,plain,
% 8.96/6.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s93, s94)) | node2(s93, s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s93, s94)) | node2(s93, s94))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18096,plain,
% 8.96/6.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s93, s94)) | node2(s93, s94))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18097,plain,
% 8.96/6.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s93, s94)) | node2(s93, s94)),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18096, 18095])).
% 8.96/6.48 tff(18098,plain,
% 8.96/6.48 (node2(s93, s94)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18097, 7, 9130])).
% 8.96/6.48 tff(18099,plain,
% 8.96/6.48 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s93, c_ready)) | (~node2(s93, s94)) | m_main_v_state(s94, c_busy) | (~m_main_v_request(s93)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s93, c_ready)) | (~node2(s93, s94)) | m_main_v_state(s94, c_busy) | (~m_main_v_request(s93)))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18100,plain,
% 8.96/6.48 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s93, c_ready)) | (~node2(s93, s94)) | m_main_v_state(s94, c_busy) | (~m_main_v_request(s93)))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18101,plain,
% 8.96/6.48 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s93, c_ready)) | (~node2(s93, s94)) | m_main_v_state(s94, c_busy) | (~m_main_v_request(s93))),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18100, 18099])).
% 8.96/6.48 tff(18102,plain,
% 8.96/6.48 ((~m_main_v_state(s93, c_ready)) | m_main_v_state(s94, c_busy) | (~m_main_v_request(s93))),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18101, 191, 18098])).
% 8.96/6.48 tff(18103,plain,
% 8.96/6.48 (~m_main_v_request(s93)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18102, 18094, 18090])).
% 8.96/6.48 tff(18104,plain,
% 8.96/6.48 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s93) | (~node4(s93)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s93) | (~node4(s93)))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18105,plain,
% 8.96/6.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s93) | (~node4(s93)))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18106,plain,
% 8.96/6.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s93) | (~node4(s93))),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18105, 18104])).
% 8.96/6.48 tff(18107,plain,
% 8.96/6.48 (~node4(s93)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18106, 154, 18103])).
% 8.96/6.48 tff(18108,plain,
% 8.96/6.48 (node4(s93) | (~until5(s93))),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10159, 36, 18070])).
% 8.96/6.48 tff(18109,plain,
% 8.96/6.48 (~until5(s93)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18108, 18107])).
% 8.96/6.48 tff(18110,plain,
% 8.96/6.48 (~xuntil6(s92)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10148, 18109])).
% 8.96/6.48 tff(18111,plain,
% 8.96/6.48 (node4(s92)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[17910, 18110])).
% 8.96/6.48 tff(18112,plain,
% 8.96/6.48 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s92) | (~node4(s92)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s92) | (~node4(s92)))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18113,plain,
% 8.96/6.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s92) | (~node4(s92)))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18114,plain,
% 8.96/6.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s92) | (~node4(s92))),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18113, 18112])).
% 8.96/6.48 tff(18115,plain,
% 8.96/6.48 (m_main_v_request(s92)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18114, 154, 18111])).
% 8.96/6.48 tff(18116,plain,
% 8.96/6.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s92, s93)) | node2(s92, s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s92, s93)) | node2(s92, s93))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18117,plain,
% 8.96/6.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s92, s93)) | node2(s92, s93))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18118,plain,
% 8.96/6.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s92, s93)) | node2(s92, s93)),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18117, 18116])).
% 8.96/6.48 tff(18119,plain,
% 8.96/6.48 (node2(s92, s93)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18118, 7, 9142])).
% 8.96/6.48 tff(18120,plain,
% 8.96/6.48 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s92, c_ready)) | (~node2(s92, s93)) | m_main_v_state(s93, c_busy) | (~m_main_v_request(s92)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s92, c_ready)) | (~node2(s92, s93)) | m_main_v_state(s93, c_busy) | (~m_main_v_request(s92)))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18121,plain,
% 8.96/6.48 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s92, c_ready)) | (~node2(s92, s93)) | m_main_v_state(s93, c_busy) | (~m_main_v_request(s92)))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18122,plain,
% 8.96/6.48 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s92, c_ready)) | (~node2(s92, s93)) | m_main_v_state(s93, c_busy) | (~m_main_v_request(s92))),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18121, 18120])).
% 8.96/6.48 tff(18123,plain,
% 8.96/6.48 ((~m_main_v_state(s92, c_ready)) | m_main_v_state(s93, c_busy) | (~m_main_v_request(s92))),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18122, 191, 18119])).
% 8.96/6.48 tff(18124,plain,
% 8.96/6.48 (~m_main_v_state(s92, c_ready)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18123, 18115, 18088])).
% 8.96/6.48 tff(18125,plain,
% 8.96/6.48 (always3(s92)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10135, 22, 18111])).
% 8.96/6.48 tff(18126,plain,
% 8.96/6.48 (((~![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)))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18127,plain,
% 8.96/6.48 (((~m_main_v_state(s92, c_busy)) | (~always3(s92))) <=> ((~always3(s92)) | (~m_main_v_state(s92, c_busy)))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18128,plain,
% 8.96/6.48 (((~![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))))),
% 8.96/6.48 inference(monotonicity,[status(thm)],[18127])).
% 8.96/6.48 tff(18129,plain,
% 8.96/6.48 (((~![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)))),
% 8.96/6.48 inference(transitivity,[status(thm)],[18128, 18126])).
% 8.96/6.48 tff(18130,plain,
% 8.96/6.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s92, c_busy)) | (~always3(s92)))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18131,plain,
% 8.96/6.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s92)) | (~m_main_v_state(s92, c_busy))),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18130, 18129])).
% 8.96/6.48 tff(18132,plain,
% 8.96/6.48 (~m_main_v_state(s92, c_busy)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18131, 170, 18125])).
% 8.96/6.48 tff(18133,plain,
% 8.96/6.48 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s92, c_busy) | m_main_v_state(s92, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s92, c_busy) | m_main_v_state(s92, c_ready))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18134,plain,
% 8.96/6.48 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s92, c_busy) | m_main_v_state(s92, c_ready))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18135,plain,
% 8.96/6.48 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s92, c_busy) | m_main_v_state(s92, c_ready)),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18134, 18133])).
% 8.96/6.48 tff(18136,plain,
% 8.96/6.48 ($false),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18135, 213, 18132, 18124])).
% 8.96/6.48 tff(18137,plain,((~until5(s92)) | xuntil6(s97) | m_main_v_state(s98, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.48 tff(18138,plain,
% 8.96/6.48 (~until5(s92)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18137, 17899, 17877])).
% 8.96/6.48 tff(18139,plain,
% 8.96/6.48 (~xuntil6(s91)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10131, 18138])).
% 8.96/6.48 tff(18140,assumption,(~always3(s91)), introduced(assumption)).
% 8.96/6.48 tff(18141,plain,
% 8.96/6.48 (~always3(s90)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[9170, 18140])).
% 8.96/6.48 tff(18142,plain,
% 8.96/6.48 (~node4(s90)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10101, 22, 18141])).
% 8.96/6.48 tff(18143,plain,
% 8.96/6.48 (~node4(s91)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10118, 22, 18140])).
% 8.96/6.48 tff(18144,assumption,(~xuntil6(s91)), introduced(assumption)).
% 8.96/6.48 tff(18145,plain,
% 8.96/6.48 (node4(s91) | (~until5(s91))),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10125, 36, 18144])).
% 8.96/6.48 tff(18146,plain,
% 8.96/6.48 (~until5(s91)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18145, 18143])).
% 8.96/6.48 tff(18147,plain,
% 8.96/6.48 (~xuntil6(s90)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10114, 18146])).
% 8.96/6.48 tff(18148,plain,
% 8.96/6.48 (~until5(s90)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10108, 36, 18147, 18142])).
% 8.96/6.48 tff(18149,plain,
% 8.96/6.48 (~always3(s89)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[9182, 18141])).
% 8.96/6.48 tff(18150,plain,
% 8.96/6.48 (~node4(s89)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10084, 22, 18149])).
% 8.96/6.48 tff(18151,plain,
% 8.96/6.48 (~always3(s88)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[9194, 18149])).
% 8.96/6.48 tff(18152,plain,
% 8.96/6.48 (~node4(s88)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10067, 22, 18151])).
% 8.96/6.48 tff(18153,plain,
% 8.96/6.48 (xuntil6(s88)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[16798, 18152])).
% 8.96/6.48 tff(18154,plain,
% 8.96/6.48 (until5(s89)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10080, 18153])).
% 8.96/6.48 tff(18155,plain,
% 8.96/6.48 (xuntil6(s89)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10091, 36, 18154, 18150])).
% 8.96/6.48 tff(18156,plain,
% 8.96/6.48 ($false),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10097, 18155, 18148])).
% 8.96/6.48 tff(18157,plain,(always3(s91) | (~until5(s88)) | xuntil6(s91)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.48 tff(18158,plain,
% 8.96/6.48 (always3(s91)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18157, 16780, 18139])).
% 8.96/6.48 tff(18159,plain,
% 8.96/6.48 (((~![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)))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18160,plain,
% 8.96/6.48 (((~m_main_v_state(s91, c_busy)) | (~always3(s91))) <=> ((~always3(s91)) | (~m_main_v_state(s91, c_busy)))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18161,plain,
% 8.96/6.48 (((~![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))))),
% 8.96/6.48 inference(monotonicity,[status(thm)],[18160])).
% 8.96/6.48 tff(18162,plain,
% 8.96/6.48 (((~![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)))),
% 8.96/6.48 inference(transitivity,[status(thm)],[18161, 18159])).
% 8.96/6.48 tff(18163,plain,
% 8.96/6.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s91, c_busy)) | (~always3(s91)))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18164,plain,
% 8.96/6.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s91)) | (~m_main_v_state(s91, c_busy))),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18163, 18162])).
% 8.96/6.48 tff(18165,plain,
% 8.96/6.48 (~m_main_v_state(s91, c_busy)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18164, 170, 18158])).
% 8.96/6.48 tff(18166,assumption,(~m_main_v_state(s91, c_busy)), introduced(assumption)).
% 8.96/6.48 tff(18167,assumption,(node4(s90)), introduced(assumption)).
% 8.96/6.48 tff(18168,plain,
% 8.96/6.48 (((~![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)))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18169,plain,
% 8.96/6.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s90) | (~node4(s90)))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18170,plain,
% 8.96/6.48 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s90) | (~node4(s90))),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18169, 18168])).
% 8.96/6.48 tff(18171,plain,
% 8.96/6.48 (m_main_v_request(s90)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18170, 154, 18167])).
% 8.96/6.48 tff(18172,plain,
% 8.96/6.48 (((~![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))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18173,plain,
% 8.96/6.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s90, s91)) | node2(s90, s91))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18174,plain,
% 8.96/6.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s90, s91)) | node2(s90, s91)),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18173, 18172])).
% 8.96/6.48 tff(18175,plain,
% 8.96/6.48 (node2(s90, s91)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18174, 7, 9166])).
% 8.96/6.48 tff(18176,plain,
% 8.96/6.48 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18177,plain,
% 8.96/6.48 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18178,plain,
% 8.96/6.48 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18177, 18176])).
% 8.96/6.48 tff(18179,plain,
% 8.96/6.48 ((~m_main_v_state(s90, c_ready)) | m_main_v_state(s91, c_busy) | (~m_main_v_request(s90))),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18178, 191, 18175])).
% 8.96/6.48 tff(18180,plain,
% 8.96/6.48 (~m_main_v_state(s90, c_ready)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18179, 18171, 18166])).
% 8.96/6.48 tff(18181,plain,
% 8.96/6.48 (always3(s90)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[10101, 22, 18167])).
% 8.96/6.48 tff(18182,plain,
% 8.96/6.48 (((~![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)))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18183,plain,
% 8.96/6.48 (((~m_main_v_state(s90, c_busy)) | (~always3(s90))) <=> ((~always3(s90)) | (~m_main_v_state(s90, c_busy)))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18184,plain,
% 8.96/6.48 (((~![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))))),
% 8.96/6.48 inference(monotonicity,[status(thm)],[18183])).
% 8.96/6.48 tff(18185,plain,
% 8.96/6.48 (((~![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)))),
% 8.96/6.48 inference(transitivity,[status(thm)],[18184, 18182])).
% 8.96/6.48 tff(18186,plain,
% 8.96/6.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s90, c_busy)) | (~always3(s90)))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18187,plain,
% 8.96/6.48 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s90)) | (~m_main_v_state(s90, c_busy))),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18186, 18185])).
% 8.96/6.48 tff(18188,plain,
% 8.96/6.48 (~m_main_v_state(s90, c_busy)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18187, 170, 18181])).
% 8.96/6.48 tff(18189,plain,
% 8.96/6.48 (((~![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))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18190,plain,
% 8.96/6.48 ((~![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))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18191,plain,
% 8.96/6.48 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s90, c_busy) | m_main_v_state(s90, c_ready)),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18190, 18189])).
% 8.96/6.48 tff(18192,plain,
% 8.96/6.48 ($false),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18191, 213, 18188, 18180])).
% 8.96/6.48 tff(18193,plain,((~node4(s90)) | m_main_v_state(s91, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.48 tff(18194,plain,
% 8.96/6.48 (~node4(s90)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18193, 18165])).
% 8.96/6.48 tff(18195,plain,
% 8.96/6.48 (always3(s92)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[9158, 18158])).
% 8.96/6.48 tff(18196,plain,
% 8.96/6.48 (~m_main_v_state(s92, c_busy)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18131, 170, 18195])).
% 8.96/6.48 tff(18197,plain,
% 8.96/6.48 (((~![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))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18198,plain,
% 8.96/6.48 ((~![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))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18199,plain,
% 8.96/6.48 ((~![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)),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18198, 18197])).
% 8.96/6.48 tff(18200,plain,
% 8.96/6.48 (m_main_v_state(s91, c_ready)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18199, 213, 18165])).
% 8.96/6.48 tff(18201,plain,
% 8.96/6.48 (((~![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))),
% 8.96/6.48 inference(rewrite,[status(thm)],[])).
% 8.96/6.48 tff(18202,plain,
% 8.96/6.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s91, s92)) | node2(s91, s92))),
% 8.96/6.48 inference(quant_inst,[status(thm)],[])).
% 8.96/6.48 tff(18203,plain,
% 8.96/6.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s91, s92)) | node2(s91, s92)),
% 8.96/6.48 inference(modus_ponens,[status(thm)],[18202, 18201])).
% 8.96/6.48 tff(18204,plain,
% 8.96/6.48 (node2(s91, s92)),
% 8.96/6.48 inference(unit_resolution,[status(thm)],[18203, 7, 9154])).
% 8.96/6.48 tff(18205,plain,
% 8.96/6.48 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 8.96/6.49 inference(rewrite,[status(thm)],[])).
% 8.96/6.49 tff(18206,plain,
% 8.96/6.49 ((~![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(s91, c_ready)) | (~node2(s91, s92)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s91)))),
% 8.96/6.49 inference(quant_inst,[status(thm)],[])).
% 8.96/6.49 tff(18207,plain,
% 8.96/6.49 ((~![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(s91, c_ready)) | (~node2(s91, s92)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s91))),
% 8.96/6.49 inference(modus_ponens,[status(thm)],[18206, 18205])).
% 8.96/6.49 tff(18208,plain,
% 8.96/6.49 ((~m_main_v_state(s91, c_ready)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s91))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18207, 191, 18204])).
% 8.96/6.49 tff(18209,plain,
% 8.96/6.49 (~m_main_v_request(s91)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18208, 18200, 18196])).
% 8.96/6.49 tff(18210,plain,
% 8.96/6.49 (((~![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)))),
% 8.96/6.49 inference(rewrite,[status(thm)],[])).
% 8.96/6.49 tff(18211,plain,
% 8.96/6.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s91) | (~node4(s91)))),
% 8.96/6.49 inference(quant_inst,[status(thm)],[])).
% 8.96/6.49 tff(18212,plain,
% 8.96/6.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s91) | (~node4(s91))),
% 8.96/6.49 inference(modus_ponens,[status(thm)],[18211, 18210])).
% 8.96/6.49 tff(18213,plain,
% 8.96/6.49 (~node4(s91)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18212, 154, 18209])).
% 8.96/6.49 tff(18214,plain,
% 8.96/6.49 (node4(s91) | (~until5(s91))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10125, 36, 18139])).
% 8.96/6.49 tff(18215,plain,
% 8.96/6.49 (~until5(s91)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18214, 18213])).
% 8.96/6.49 tff(18216,plain,
% 8.96/6.49 (~xuntil6(s90)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10114, 18215])).
% 8.96/6.49 tff(18217,plain,
% 8.96/6.49 (node4(s90) | (~until5(s90))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10108, 36, 18216])).
% 8.96/6.49 tff(18218,plain,
% 8.96/6.49 (~until5(s90)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18217, 18194])).
% 8.96/6.49 tff(18219,plain,
% 8.96/6.49 (~xuntil6(s89)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10097, 18218])).
% 8.96/6.49 tff(18220,assumption,(~always3(s89)), introduced(assumption)).
% 8.96/6.49 tff(18221,plain,
% 8.96/6.49 (~node4(s89)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10084, 22, 18220])).
% 8.96/6.49 tff(18222,assumption,(~xuntil6(s89)), introduced(assumption)).
% 8.96/6.49 tff(18223,plain,
% 8.96/6.49 (node4(s89) | (~until5(s89))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10091, 36, 18222])).
% 8.96/6.49 tff(18224,plain,
% 8.96/6.49 (~until5(s89)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18223, 18221])).
% 8.96/6.49 tff(18225,plain,
% 8.96/6.49 (~always3(s88)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9194, 18220])).
% 8.96/6.49 tff(18226,plain,
% 8.96/6.49 (~node4(s88)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10067, 22, 18225])).
% 8.96/6.49 tff(18227,plain,
% 8.96/6.49 (xuntil6(s88)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[16798, 18226])).
% 8.96/6.49 tff(18228,plain,
% 8.96/6.49 ($false),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10080, 18227, 18224])).
% 8.96/6.49 tff(18229,plain,(always3(s89) | (~until5(s88)) | xuntil6(s89)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.49 tff(18230,plain,
% 8.96/6.49 (always3(s89)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18229, 16780, 18219])).
% 8.96/6.49 tff(18231,plain,
% 8.96/6.49 (((~![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)))),
% 8.96/6.49 inference(rewrite,[status(thm)],[])).
% 8.96/6.49 tff(18232,plain,
% 8.96/6.49 (((~m_main_v_state(s89, c_busy)) | (~always3(s89))) <=> ((~always3(s89)) | (~m_main_v_state(s89, c_busy)))),
% 8.96/6.49 inference(rewrite,[status(thm)],[])).
% 8.96/6.49 tff(18233,plain,
% 8.96/6.49 (((~![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))))),
% 8.96/6.49 inference(monotonicity,[status(thm)],[18232])).
% 8.96/6.49 tff(18234,plain,
% 8.96/6.49 (((~![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)))),
% 8.96/6.49 inference(transitivity,[status(thm)],[18233, 18231])).
% 8.96/6.49 tff(18235,plain,
% 8.96/6.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s89, c_busy)) | (~always3(s89)))),
% 8.96/6.49 inference(quant_inst,[status(thm)],[])).
% 8.96/6.49 tff(18236,plain,
% 8.96/6.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s89)) | (~m_main_v_state(s89, c_busy))),
% 8.96/6.49 inference(modus_ponens,[status(thm)],[18235, 18234])).
% 8.96/6.49 tff(18237,plain,
% 8.96/6.49 (~m_main_v_state(s89, c_busy)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18236, 170, 18230])).
% 8.96/6.49 tff(18238,plain,
% 8.96/6.49 (always3(s90)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9182, 18230])).
% 8.96/6.49 tff(18239,plain,
% 8.96/6.49 (~m_main_v_state(s90, c_busy)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18187, 170, 18238])).
% 8.96/6.49 tff(18240,plain,
% 8.96/6.49 (((~![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))),
% 8.96/6.49 inference(rewrite,[status(thm)],[])).
% 8.96/6.49 tff(18241,plain,
% 8.96/6.49 ((~![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))),
% 8.96/6.49 inference(quant_inst,[status(thm)],[])).
% 8.96/6.49 tff(18242,plain,
% 8.96/6.49 ((~![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)),
% 8.96/6.49 inference(modus_ponens,[status(thm)],[18241, 18240])).
% 8.96/6.49 tff(18243,plain,
% 8.96/6.49 (m_main_v_state(s89, c_ready)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18242, 213, 18237])).
% 8.96/6.49 tff(18244,plain,
% 8.96/6.49 (((~![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))),
% 8.96/6.49 inference(rewrite,[status(thm)],[])).
% 8.96/6.49 tff(18245,plain,
% 8.96/6.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s89, s90)) | node2(s89, s90))),
% 8.96/6.49 inference(quant_inst,[status(thm)],[])).
% 8.96/6.49 tff(18246,plain,
% 8.96/6.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s89, s90)) | node2(s89, s90)),
% 8.96/6.49 inference(modus_ponens,[status(thm)],[18245, 18244])).
% 8.96/6.49 tff(18247,plain,
% 8.96/6.49 (node2(s89, s90)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18246, 7, 9178])).
% 8.96/6.49 tff(18248,plain,
% 8.96/6.49 (((~![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(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)))),
% 8.96/6.49 inference(rewrite,[status(thm)],[])).
% 8.96/6.49 tff(18249,plain,
% 8.96/6.49 ((~![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(s89, c_ready)) | (~node2(s89, s90)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s89)))),
% 8.96/6.49 inference(quant_inst,[status(thm)],[])).
% 8.96/6.49 tff(18250,plain,
% 8.96/6.49 ((~![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(s89, c_ready)) | (~node2(s89, s90)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s89))),
% 8.96/6.49 inference(modus_ponens,[status(thm)],[18249, 18248])).
% 8.96/6.49 tff(18251,plain,
% 8.96/6.49 ((~m_main_v_state(s89, c_ready)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s89))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18250, 191, 18247])).
% 8.96/6.49 tff(18252,plain,
% 8.96/6.49 (~m_main_v_request(s89)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18251, 18243, 18239])).
% 8.96/6.49 tff(18253,plain,
% 8.96/6.49 (((~![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)))),
% 8.96/6.49 inference(rewrite,[status(thm)],[])).
% 8.96/6.49 tff(18254,plain,
% 8.96/6.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s89) | (~node4(s89)))),
% 8.96/6.49 inference(quant_inst,[status(thm)],[])).
% 8.96/6.49 tff(18255,plain,
% 8.96/6.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s89) | (~node4(s89))),
% 8.96/6.49 inference(modus_ponens,[status(thm)],[18254, 18253])).
% 8.96/6.49 tff(18256,plain,
% 8.96/6.49 (~node4(s89)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18255, 154, 18252])).
% 8.96/6.49 tff(18257,plain,
% 8.96/6.49 (node4(s89) | (~until5(s89))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10091, 36, 18219])).
% 8.96/6.49 tff(18258,plain,
% 8.96/6.49 (~until5(s89)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18257, 18256])).
% 8.96/6.49 tff(18259,plain,
% 8.96/6.49 (~xuntil6(s88)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10080, 18258])).
% 8.96/6.49 tff(18260,plain,
% 8.96/6.49 (node4(s88)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[16798, 18259])).
% 8.96/6.49 tff(18261,plain,
% 8.96/6.49 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s88) | (~node4(s88)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s88) | (~node4(s88)))),
% 8.96/6.49 inference(rewrite,[status(thm)],[])).
% 8.96/6.49 tff(18262,plain,
% 8.96/6.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s88) | (~node4(s88)))),
% 8.96/6.49 inference(quant_inst,[status(thm)],[])).
% 8.96/6.49 tff(18263,plain,
% 8.96/6.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s88) | (~node4(s88))),
% 8.96/6.49 inference(modus_ponens,[status(thm)],[18262, 18261])).
% 8.96/6.49 tff(18264,plain,
% 8.96/6.49 (m_main_v_request(s88)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18263, 154, 18260])).
% 8.96/6.49 tff(18265,plain,
% 8.96/6.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s88, s89)) | node2(s88, s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s88, s89)) | node2(s88, s89))),
% 8.96/6.49 inference(rewrite,[status(thm)],[])).
% 8.96/6.49 tff(18266,plain,
% 8.96/6.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s88, s89)) | node2(s88, s89))),
% 8.96/6.49 inference(quant_inst,[status(thm)],[])).
% 8.96/6.49 tff(18267,plain,
% 8.96/6.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s88, s89)) | node2(s88, s89)),
% 8.96/6.49 inference(modus_ponens,[status(thm)],[18266, 18265])).
% 8.96/6.49 tff(18268,plain,
% 8.96/6.49 (node2(s88, s89)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18267, 7, 9190])).
% 8.96/6.49 tff(18269,plain,
% 8.96/6.49 (((~![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(s88, c_ready)) | (~node2(s88, s89)) | m_main_v_state(s89, c_busy) | (~m_main_v_request(s88)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s88, c_ready)) | (~node2(s88, s89)) | m_main_v_state(s89, c_busy) | (~m_main_v_request(s88)))),
% 8.96/6.49 inference(rewrite,[status(thm)],[])).
% 8.96/6.49 tff(18270,plain,
% 8.96/6.49 ((~![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(s88, c_ready)) | (~node2(s88, s89)) | m_main_v_state(s89, c_busy) | (~m_main_v_request(s88)))),
% 8.96/6.49 inference(quant_inst,[status(thm)],[])).
% 8.96/6.49 tff(18271,plain,
% 8.96/6.49 ((~![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(s88, c_ready)) | (~node2(s88, s89)) | m_main_v_state(s89, c_busy) | (~m_main_v_request(s88))),
% 8.96/6.49 inference(modus_ponens,[status(thm)],[18270, 18269])).
% 8.96/6.49 tff(18272,plain,
% 8.96/6.49 ((~m_main_v_state(s88, c_ready)) | m_main_v_state(s89, c_busy) | (~m_main_v_request(s88))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18271, 191, 18268])).
% 8.96/6.49 tff(18273,plain,
% 8.96/6.49 (~m_main_v_state(s88, c_ready)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18272, 18264, 18237])).
% 8.96/6.49 tff(18274,plain,
% 8.96/6.49 (always3(s88)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10067, 22, 18260])).
% 8.96/6.49 tff(18275,plain,
% 8.96/6.49 (~m_main_v_state(s88, c_busy)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[16716, 170, 18274])).
% 8.96/6.49 tff(18276,plain,
% 8.96/6.49 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s88, c_busy) | m_main_v_state(s88, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s88, c_busy) | m_main_v_state(s88, c_ready))),
% 8.96/6.49 inference(rewrite,[status(thm)],[])).
% 8.96/6.49 tff(18277,plain,
% 8.96/6.49 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s88, c_busy) | m_main_v_state(s88, c_ready))),
% 8.96/6.49 inference(quant_inst,[status(thm)],[])).
% 8.96/6.49 tff(18278,plain,
% 8.96/6.49 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s88, c_busy) | m_main_v_state(s88, c_ready)),
% 8.96/6.49 inference(modus_ponens,[status(thm)],[18277, 18276])).
% 8.96/6.49 tff(18279,plain,
% 8.96/6.49 ($false),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18278, 213, 18275, 18273])).
% 8.96/6.49 tff(18280,plain,((~until5(s88)) | xuntil6(s112) | m_main_v_state(s113, c_busy)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.49 tff(18281,plain,
% 8.96/6.49 (xuntil6(s112)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18280, 14835, 16777])).
% 8.96/6.49 tff(18282,plain,
% 8.96/6.49 (until5(s113)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10488, 18281])).
% 8.96/6.49 tff(18283,plain,
% 8.96/6.49 (node4(s113)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[14443, 18282])).
% 8.96/6.49 tff(18284,plain,
% 8.96/6.49 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s113) | (~node4(s113)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s113) | (~node4(s113)))),
% 8.96/6.49 inference(rewrite,[status(thm)],[])).
% 8.96/6.49 tff(18285,plain,
% 8.96/6.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s113) | (~node4(s113)))),
% 8.96/6.49 inference(quant_inst,[status(thm)],[])).
% 8.96/6.49 tff(18286,plain,
% 8.96/6.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s113) | (~node4(s113))),
% 8.96/6.49 inference(modus_ponens,[status(thm)],[18285, 18284])).
% 8.96/6.49 tff(18287,plain,
% 8.96/6.49 (m_main_v_request(s113)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18286, 154, 18283])).
% 8.96/6.49 tff(18288,plain,
% 8.96/6.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s113, s114)) | node2(s113, s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s113, s114)) | node2(s113, s114))),
% 8.96/6.49 inference(rewrite,[status(thm)],[])).
% 8.96/6.49 tff(18289,plain,
% 8.96/6.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s113, s114)) | node2(s113, s114))),
% 8.96/6.49 inference(quant_inst,[status(thm)],[])).
% 8.96/6.49 tff(18290,plain,
% 8.96/6.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s113, s114)) | node2(s113, s114)),
% 8.96/6.49 inference(modus_ponens,[status(thm)],[18289, 18288])).
% 8.96/6.49 tff(18291,plain,
% 8.96/6.49 (node2(s113, s114)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18290, 7, 8890])).
% 8.96/6.49 tff(18292,plain,
% 8.96/6.49 (((~![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(s113, c_ready)) | (~node2(s113, s114)) | m_main_v_state(s114, c_busy) | (~m_main_v_request(s113)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s113, c_ready)) | (~node2(s113, s114)) | m_main_v_state(s114, c_busy) | (~m_main_v_request(s113)))),
% 8.96/6.49 inference(rewrite,[status(thm)],[])).
% 8.96/6.49 tff(18293,plain,
% 8.96/6.49 ((~![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(s113, c_ready)) | (~node2(s113, s114)) | m_main_v_state(s114, c_busy) | (~m_main_v_request(s113)))),
% 8.96/6.49 inference(quant_inst,[status(thm)],[])).
% 8.96/6.49 tff(18294,plain,
% 8.96/6.49 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s113, c_ready)) | (~node2(s113, s114)) | m_main_v_state(s114, c_busy) | (~m_main_v_request(s113))),
% 8.96/6.49 inference(modus_ponens,[status(thm)],[18293, 18292])).
% 8.96/6.49 tff(18295,plain,
% 8.96/6.49 ((~m_main_v_state(s113, c_ready)) | m_main_v_state(s114, c_busy) | (~m_main_v_request(s113))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18294, 191, 18291])).
% 8.96/6.49 tff(18296,plain,
% 8.96/6.49 ($false),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18295, 18287, 14839, 14828])).
% 8.96/6.49 tff(18297,plain,(xuntil6(s113)), inference(lemma,lemma(discharge,[]))).
% 8.96/6.49 tff(18298,plain,
% 8.96/6.49 (until5(s114)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10505, 18297])).
% 8.96/6.49 tff(18299,assumption,(~xuntil6(s115)), introduced(assumption)).
% 8.96/6.49 tff(18300,assumption,(~always3(s115)), introduced(assumption)).
% 8.96/6.49 tff(18301,plain,
% 8.96/6.49 (~always3(s114)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[8882, 18300])).
% 8.96/6.49 tff(18302,plain,
% 8.96/6.49 (~node4(s114)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10509, 22, 18301])).
% 8.96/6.49 tff(18303,plain,
% 8.96/6.49 (~node4(s115)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10526, 22, 18300])).
% 8.96/6.49 tff(18304,plain,
% 8.96/6.49 (node4(s115) | (~until5(s115))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10533, 36, 18299])).
% 8.96/6.49 tff(18305,plain,
% 8.96/6.49 (~until5(s115)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18304, 18303])).
% 8.96/6.49 tff(18306,plain,
% 8.96/6.49 (~xuntil6(s114)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10522, 18305])).
% 8.96/6.49 tff(18307,plain,
% 8.96/6.49 (~until5(s114)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10516, 36, 18306, 18302])).
% 8.96/6.49 tff(18308,plain,
% 8.96/6.49 (~xuntil6(s113)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10505, 18307])).
% 8.96/6.49 tff(18309,plain,
% 8.96/6.49 (~always3(s113)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[8894, 18301])).
% 8.96/6.49 tff(18310,plain,
% 8.96/6.49 (~node4(s113)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10492, 22, 18309])).
% 8.96/6.49 tff(18311,plain,
% 8.96/6.49 (xuntil6(s113) | (~until5(s113))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10499, 36, 18310])).
% 8.96/6.49 tff(18312,plain,
% 8.96/6.49 (~until5(s113)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18311, 18308])).
% 8.96/6.49 tff(18313,plain,
% 8.96/6.49 (~xuntil6(s112)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10488, 18312])).
% 8.96/6.49 tff(18314,plain,
% 8.96/6.49 (~always3(s112)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[8906, 18309])).
% 8.96/6.49 tff(18315,plain,
% 8.96/6.49 (~node4(s112)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10475, 22, 18314])).
% 8.96/6.49 tff(18316,plain,
% 8.96/6.49 (xuntil6(s112) | (~until5(s112))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10482, 36, 18315])).
% 8.96/6.49 tff(18317,plain,
% 8.96/6.49 (~until5(s112)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18316, 18313])).
% 8.96/6.49 tff(18318,plain,
% 8.96/6.49 (~xuntil6(s111)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10471, 18317])).
% 8.96/6.49 tff(18319,plain,
% 8.96/6.49 (~always3(s111)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[8918, 18314])).
% 8.96/6.49 tff(18320,plain,
% 8.96/6.49 (~node4(s111)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10458, 22, 18319])).
% 8.96/6.49 tff(18321,plain,
% 8.96/6.49 (xuntil6(s111) | (~until5(s111))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10465, 36, 18320])).
% 8.96/6.49 tff(18322,plain,
% 8.96/6.49 (~until5(s111)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18321, 18318])).
% 8.96/6.49 tff(18323,plain,
% 8.96/6.49 (~xuntil6(s110)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10454, 18322])).
% 8.96/6.49 tff(18324,plain,
% 8.96/6.49 (~always3(s110)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[8930, 18319])).
% 8.96/6.49 tff(18325,plain,
% 8.96/6.49 (~node4(s110)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10441, 22, 18324])).
% 8.96/6.49 tff(18326,plain,
% 8.96/6.49 (xuntil6(s110) | (~until5(s110))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10448, 36, 18325])).
% 8.96/6.49 tff(18327,plain,
% 8.96/6.49 (~until5(s110)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18326, 18323])).
% 8.96/6.49 tff(18328,plain,
% 8.96/6.49 (~xuntil6(s109)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10437, 18327])).
% 8.96/6.49 tff(18329,plain,
% 8.96/6.49 (~always3(s109)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[8942, 18324])).
% 8.96/6.49 tff(18330,plain,
% 8.96/6.49 (~node4(s109)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10424, 22, 18329])).
% 8.96/6.49 tff(18331,plain,
% 8.96/6.49 (xuntil6(s109) | (~until5(s109))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10431, 36, 18330])).
% 8.96/6.49 tff(18332,plain,
% 8.96/6.49 (~until5(s109)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18331, 18328])).
% 8.96/6.49 tff(18333,plain,
% 8.96/6.49 (~xuntil6(s108)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10420, 18332])).
% 8.96/6.49 tff(18334,plain,
% 8.96/6.49 (~always3(s108)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[8954, 18329])).
% 8.96/6.49 tff(18335,plain,
% 8.96/6.49 (~node4(s108)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10407, 22, 18334])).
% 8.96/6.49 tff(18336,plain,
% 8.96/6.49 (xuntil6(s108) | (~until5(s108))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10414, 36, 18335])).
% 8.96/6.49 tff(18337,plain,
% 8.96/6.49 (~until5(s108)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18336, 18333])).
% 8.96/6.49 tff(18338,plain,
% 8.96/6.49 (~xuntil6(s107)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10403, 18337])).
% 8.96/6.49 tff(18339,plain,
% 8.96/6.49 (~always3(s107)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[8966, 18334])).
% 8.96/6.49 tff(18340,plain,
% 8.96/6.49 (~node4(s107)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10390, 22, 18339])).
% 8.96/6.49 tff(18341,plain,
% 8.96/6.49 (xuntil6(s107) | (~until5(s107))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10397, 36, 18340])).
% 8.96/6.49 tff(18342,plain,
% 8.96/6.49 (~until5(s107)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18341, 18338])).
% 8.96/6.49 tff(18343,plain,
% 8.96/6.49 (~xuntil6(s106)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10386, 18342])).
% 8.96/6.49 tff(18344,plain,
% 8.96/6.49 (~always3(s106)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[8978, 18339])).
% 8.96/6.49 tff(18345,plain,
% 8.96/6.49 (~node4(s106)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10373, 22, 18344])).
% 8.96/6.49 tff(18346,plain,
% 8.96/6.49 (xuntil6(s106) | (~until5(s106))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10380, 36, 18345])).
% 8.96/6.49 tff(18347,plain,
% 8.96/6.49 (~until5(s106)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18346, 18343])).
% 8.96/6.49 tff(18348,plain,
% 8.96/6.49 (~xuntil6(s105)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10369, 18347])).
% 8.96/6.49 tff(18349,plain,
% 8.96/6.49 (~always3(s105)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[8990, 18344])).
% 8.96/6.49 tff(18350,plain,
% 8.96/6.49 (~node4(s105)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10356, 22, 18349])).
% 8.96/6.49 tff(18351,plain,
% 8.96/6.49 (xuntil6(s105) | (~until5(s105))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10363, 36, 18350])).
% 8.96/6.49 tff(18352,plain,
% 8.96/6.49 (~until5(s105)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18351, 18348])).
% 8.96/6.49 tff(18353,plain,
% 8.96/6.49 (~xuntil6(s104)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10352, 18352])).
% 8.96/6.49 tff(18354,plain,
% 8.96/6.49 (~always3(s104)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9002, 18349])).
% 8.96/6.49 tff(18355,plain,
% 8.96/6.49 (~node4(s104)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10339, 22, 18354])).
% 8.96/6.49 tff(18356,plain,
% 8.96/6.49 (xuntil6(s104) | (~until5(s104))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10346, 36, 18355])).
% 8.96/6.49 tff(18357,plain,
% 8.96/6.49 (~until5(s104)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18356, 18353])).
% 8.96/6.49 tff(18358,plain,
% 8.96/6.49 (~xuntil6(s103)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10335, 18357])).
% 8.96/6.49 tff(18359,plain,
% 8.96/6.49 (~always3(s103)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9014, 18354])).
% 8.96/6.49 tff(18360,plain,
% 8.96/6.49 (~node4(s103)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10322, 22, 18359])).
% 8.96/6.49 tff(18361,plain,
% 8.96/6.49 (xuntil6(s103) | (~until5(s103))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10329, 36, 18360])).
% 8.96/6.49 tff(18362,plain,
% 8.96/6.49 (~until5(s103)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18361, 18358])).
% 8.96/6.49 tff(18363,plain,
% 8.96/6.49 (~xuntil6(s102)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10318, 18362])).
% 8.96/6.49 tff(18364,plain,
% 8.96/6.49 (~always3(s102)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9026, 18359])).
% 8.96/6.49 tff(18365,plain,
% 8.96/6.49 (~node4(s102)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10305, 22, 18364])).
% 8.96/6.49 tff(18366,plain,
% 8.96/6.49 (xuntil6(s102) | (~until5(s102))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[10312, 36, 18365])).
% 8.96/6.49 tff(18367,plain,
% 8.96/6.49 (~until5(s102)),
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% 8.96/6.49 tff(18407,plain,
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% 8.96/6.49 tff(18417,plain,
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% 8.96/6.49 inference(unit_resolution,[status(thm)],[18416, 18413])).
% 8.96/6.49 tff(18418,plain,
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% 8.96/6.49 tff(18419,plain,
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% 8.96/6.49 tff(18422,plain,
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% 8.96/6.49 inference(unit_resolution,[status(thm)],[18421, 18418])).
% 8.96/6.49 tff(18423,plain,
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% 8.96/6.49 inference(unit_resolution,[status(thm)],[10114, 18422])).
% 8.96/6.49 tff(18424,plain,
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% 8.96/6.49 tff(18427,plain,
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% 8.96/6.49 tff(18428,plain,
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% 8.96/6.49 tff(18429,plain,
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% 8.96/6.49 tff(18434,plain,
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% 8.96/6.49 tff(18438,plain,
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% 8.96/6.49 tff(18442,plain,
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% 8.96/6.49 tff(18443,plain,
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% 8.96/6.49 tff(18447,plain,
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% 8.96/6.49 tff(18448,plain,
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% 8.96/6.49 tff(18449,plain,
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% 8.96/6.49 tff(18450,plain,
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% 8.96/6.49 tff(18452,plain,
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% 8.96/6.49 tff(18453,plain,
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% 8.96/6.49 tff(18454,plain,
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% 8.96/6.49 tff(18456,plain,
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% 8.96/6.49 tff(18457,plain,
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% 8.96/6.49 inference(unit_resolution,[status(thm)],[18456, 18453])).
% 8.96/6.49 tff(18458,plain,
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% 8.96/6.49 tff(18459,plain,
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% 8.96/6.49 tff(18460,plain,
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% 8.96/6.49 tff(18461,plain,
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% 8.96/6.49 tff(18462,plain,
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% 8.96/6.49 tff(18463,plain,
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% 8.96/6.49 tff(18464,plain,
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% 8.96/6.49 tff(18465,plain,
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% 8.96/6.49 tff(18466,plain,
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% 8.96/6.49 tff(18467,plain,
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% 8.96/6.49 tff(18468,plain,
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% 8.96/6.49 tff(18469,plain,
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% 8.96/6.49 tff(18472,plain,
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% 8.96/6.49 tff(18473,plain,
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% 8.96/6.49 tff(18474,plain,
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% 8.96/6.49 tff(18476,plain,
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% 8.96/6.49 tff(18477,plain,
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% 8.96/6.49 tff(18478,plain,
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% 8.96/6.49 tff(18479,plain,
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% 8.96/6.49 tff(18482,plain,
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% 8.96/6.49 tff(18483,plain,
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% 8.96/6.49 tff(18484,plain,
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% 8.96/6.49 tff(18487,plain,
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% 8.96/6.49 tff(18488,plain,
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% 8.96/6.49 inference(unit_resolution,[status(thm)],[9893, 18487])).
% 8.96/6.49 tff(18489,plain,
% 8.96/6.49 (~always3(s77)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9326, 18484])).
% 8.96/6.49 tff(18490,plain,
% 8.96/6.49 (~node4(s77)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9880, 22, 18489])).
% 8.96/6.49 tff(18491,plain,
% 8.96/6.49 (xuntil6(s77) | (~until5(s77))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9887, 36, 18490])).
% 8.96/6.49 tff(18492,plain,
% 8.96/6.49 (~until5(s77)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18491, 18488])).
% 8.96/6.49 tff(18493,plain,
% 8.96/6.49 (~always3(s76)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9338, 18489])).
% 8.96/6.49 tff(18494,plain,
% 8.96/6.49 (~always3(s75)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9350, 18493])).
% 8.96/6.49 tff(18495,plain,
% 8.96/6.49 (~always3(s74)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9362, 18494])).
% 8.96/6.49 tff(18496,plain,
% 8.96/6.49 (~always3(s73)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9374, 18495])).
% 8.96/6.49 tff(18497,plain,
% 8.96/6.49 (~always3(s72)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9386, 18496])).
% 8.96/6.49 tff(18498,plain,
% 8.96/6.49 (~always3(s71)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9398, 18497])).
% 8.96/6.49 tff(18499,plain,
% 8.96/6.49 (~always3(s70)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9410, 18498])).
% 8.96/6.49 tff(18500,plain,
% 8.96/6.49 (~always3(s69)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9422, 18499])).
% 8.96/6.49 tff(18501,plain,
% 8.96/6.49 (~always3(s68)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9434, 18500])).
% 8.96/6.49 tff(18502,plain,
% 8.96/6.49 (~always3(s67)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9446, 18501])).
% 8.96/6.49 tff(18503,plain,
% 8.96/6.49 (~always3(s66)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9458, 18502])).
% 8.96/6.49 tff(18504,plain,
% 8.96/6.49 (~always3(s65)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9470, 18503])).
% 8.96/6.49 tff(18505,plain,
% 8.96/6.49 (~always3(s64)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9482, 18504])).
% 8.96/6.49 tff(18506,plain,
% 8.96/6.49 (~always3(s63)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9494, 18505])).
% 8.96/6.49 tff(18507,plain,
% 8.96/6.49 (~always3(s62)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9506, 18506])).
% 8.96/6.49 tff(18508,plain,
% 8.96/6.49 (~always3(s61)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9518, 18507])).
% 8.96/6.49 tff(18509,plain,
% 8.96/6.49 (~always3(s60)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9530, 18508])).
% 8.96/6.49 tff(18510,plain,
% 8.96/6.49 (~always3(s59)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9542, 18509])).
% 8.96/6.49 tff(18511,plain,
% 8.96/6.49 (~always3(s58)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[9558, 18510])).
% 8.96/6.49 tff(18512,plain,
% 8.96/6.49 (~always3(s57)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[5004, 18511])).
% 8.96/6.49 tff(18513,plain,
% 8.96/6.49 (~always3(s56)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[4870, 18512])).
% 8.96/6.49 tff(18514,plain,
% 8.96/6.49 (~always3(s55)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[4750, 18513])).
% 8.96/6.49 tff(18515,plain,
% 8.96/6.49 (~always3(s54)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[4602, 18514])).
% 8.96/6.49 tff(18516,plain,
% 8.96/6.49 (~always3(s53)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[4647, 18515])).
% 8.96/6.49 tff(18517,plain,
% 8.96/6.49 (~always3(s52)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[4521, 18516])).
% 8.96/6.49 tff(18518,plain,
% 8.96/6.49 (~always3(s51)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[4412, 18517])).
% 8.96/6.49 tff(18519,plain,
% 8.96/6.49 (~always3(s50)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[4363, 18518])).
% 8.96/6.49 tff(18520,plain,
% 8.96/6.49 (~always3(s49)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3944, 18519])).
% 8.96/6.49 tff(18521,plain,
% 8.96/6.49 (~always3(s48)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3754, 18520])).
% 8.96/6.49 tff(18522,plain,
% 8.96/6.49 (~always3(s47)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3799, 18521])).
% 8.96/6.49 tff(18523,plain,
% 8.96/6.49 (~always3(s46)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3828, 18522])).
% 8.96/6.49 tff(18524,plain,
% 8.96/6.49 (~always3(s45)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3857, 18523])).
% 8.96/6.49 tff(18525,plain,
% 8.96/6.49 (~always3(s44)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3886, 18524])).
% 8.96/6.49 tff(18526,plain,
% 8.96/6.49 (~always3(s43)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3705, 18525])).
% 8.96/6.49 tff(18527,plain,
% 8.96/6.49 (~always3(s42)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3618, 18526])).
% 8.96/6.49 tff(18528,plain,
% 8.96/6.49 (~always3(s41)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3559, 18527])).
% 8.96/6.49 tff(18529,plain,
% 8.96/6.49 (~always3(s40)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3474, 18528])).
% 8.96/6.49 tff(18530,plain,
% 8.96/6.49 (~always3(s39)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3424, 18529])).
% 8.96/6.49 tff(18531,plain,
% 8.96/6.49 (~node4(s39)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3428, 22, 18530])).
% 8.96/6.49 tff(18532,plain,
% 8.96/6.49 (~always3(s38)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3233, 18530])).
% 8.96/6.49 tff(18533,plain,
% 8.96/6.49 (~node4(s38)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3219, 22, 18532])).
% 8.96/6.49 tff(18534,plain,
% 8.96/6.49 (~always3(s37)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[2932, 18532])).
% 8.96/6.49 tff(18535,plain,
% 8.96/6.49 (xuntil6(s37)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3202, 18534])).
% 8.96/6.49 tff(18536,plain,
% 8.96/6.49 (until5(s38)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3207, 18535])).
% 8.96/6.49 tff(18537,plain,
% 8.96/6.49 (xuntil6(s38) | node4(s38)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3214, 36, 18536])).
% 8.96/6.49 tff(18538,plain,
% 8.96/6.49 (xuntil6(s38)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18537, 18533])).
% 8.96/6.49 tff(18539,plain,
% 8.96/6.49 (until5(s39)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3410, 18538])).
% 8.96/6.49 tff(18540,plain,
% 8.96/6.49 (xuntil6(s39)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3460, 36, 18539, 18531])).
% 8.96/6.49 tff(18541,plain,
% 8.96/6.49 (until5(s40)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3445, 18540])).
% 8.96/6.49 tff(18542,plain,
% 8.96/6.49 (~node4(s40)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3432, 22, 18529])).
% 8.96/6.49 tff(18543,plain,
% 8.96/6.49 (xuntil6(s40) | (~until5(s40))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3439, 36, 18542])).
% 8.96/6.49 tff(18544,plain,
% 8.96/6.49 (xuntil6(s40)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18543, 18541])).
% 8.96/6.49 tff(18545,plain,
% 8.96/6.49 (until5(s41)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3545, 18544])).
% 8.96/6.49 tff(18546,plain,
% 8.96/6.49 (~node4(s41)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3563, 22, 18528])).
% 8.96/6.49 tff(18547,plain,
% 8.96/6.49 (xuntil6(s41) | (~until5(s41))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3587, 36, 18546])).
% 8.96/6.49 tff(18548,plain,
% 8.96/6.49 (xuntil6(s41)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18547, 18545])).
% 8.96/6.49 tff(18549,plain,
% 8.96/6.49 (until5(s42)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3580, 18548])).
% 8.96/6.49 tff(18550,plain,
% 8.96/6.49 (~node4(s42)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3567, 22, 18527])).
% 8.96/6.49 tff(18551,plain,
% 8.96/6.49 (xuntil6(s42) | (~until5(s42))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3574, 36, 18550])).
% 8.96/6.49 tff(18552,plain,
% 8.96/6.49 (xuntil6(s42)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18551, 18549])).
% 8.96/6.49 tff(18553,plain,
% 8.96/6.49 (until5(s43)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3684, 18552])).
% 8.96/6.49 tff(18554,plain,
% 8.96/6.49 (~node4(s43)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3693, 22, 18526])).
% 8.96/6.49 tff(18555,plain,
% 8.96/6.49 (xuntil6(s43) | (~until5(s43))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3734, 36, 18554])).
% 8.96/6.49 tff(18556,plain,
% 8.96/6.49 (xuntil6(s43)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18555, 18553])).
% 8.96/6.49 tff(18557,plain,
% 8.96/6.49 (until5(s44)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3740, 18556])).
% 8.96/6.49 tff(18558,plain,
% 8.96/6.49 (~node4(s44)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3890, 22, 18525])).
% 8.96/6.49 tff(18559,plain,
% 8.96/6.49 (xuntil6(s44) | (~until5(s44))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3897, 36, 18558])).
% 8.96/6.49 tff(18560,plain,
% 8.96/6.49 (xuntil6(s44)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18559, 18557])).
% 8.96/6.49 tff(18561,plain,
% 8.96/6.49 (until5(s45)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3877, 18560])).
% 8.96/6.49 tff(18562,plain,
% 8.96/6.49 (~node4(s45)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3861, 22, 18524])).
% 8.96/6.49 tff(18563,plain,
% 8.96/6.49 (xuntil6(s45) | (~until5(s45))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3868, 36, 18562])).
% 8.96/6.49 tff(18564,plain,
% 8.96/6.49 (xuntil6(s45)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18563, 18561])).
% 8.96/6.49 tff(18565,plain,
% 8.96/6.49 (until5(s46)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3848, 18564])).
% 8.96/6.49 tff(18566,plain,
% 8.96/6.49 (~node4(s46)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3832, 22, 18523])).
% 8.96/6.49 tff(18567,plain,
% 8.96/6.49 (xuntil6(s46) | (~until5(s46))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3839, 36, 18566])).
% 8.96/6.49 tff(18568,plain,
% 8.96/6.49 (xuntil6(s46)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[18567, 18565])).
% 8.96/6.49 tff(18569,plain,
% 8.96/6.49 (until5(s47)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3819, 18568])).
% 8.96/6.49 tff(18570,plain,
% 8.96/6.49 (~node4(s47)),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3803, 22, 18522])).
% 8.96/6.49 tff(18571,plain,
% 8.96/6.49 (xuntil6(s47) | (~until5(s47))),
% 8.96/6.49 inference(unit_resolution,[status(thm)],[3810, 36, 18570])).
% 8.96/6.49 tff(18572,plain,
% 8.96/6.49 (xuntil6(s47)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[18571, 18569])).
% 9.06/6.49 tff(18573,plain,
% 9.06/6.49 (until5(s48)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[3790, 18572])).
% 9.06/6.49 tff(18574,plain,
% 9.06/6.49 (~node4(s48)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[3758, 22, 18521])).
% 9.06/6.49 tff(18575,plain,
% 9.06/6.49 (xuntil6(s48) | (~until5(s48))),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[3782, 36, 18574])).
% 9.06/6.49 tff(18576,plain,
% 9.06/6.49 (xuntil6(s48)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[18575, 18573])).
% 9.06/6.49 tff(18577,plain,
% 9.06/6.49 (until5(s49)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[3775, 18576])).
% 9.06/6.49 tff(18578,plain,
% 9.06/6.49 (~node4(s49)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[3762, 22, 18520])).
% 9.06/6.49 tff(18579,plain,
% 9.06/6.49 (xuntil6(s49) | (~until5(s49))),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[3769, 36, 18578])).
% 9.06/6.49 tff(18580,plain,
% 9.06/6.49 (xuntil6(s49)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[18579, 18577])).
% 9.06/6.49 tff(18581,plain,
% 9.06/6.49 (until5(s50)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[4342, 18580])).
% 9.06/6.49 tff(18582,plain,
% 9.06/6.49 (~node4(s50)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[4351, 22, 18519])).
% 9.06/6.49 tff(18583,plain,
% 9.06/6.49 (xuntil6(s50) | (~until5(s50))),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[4392, 36, 18582])).
% 9.06/6.49 tff(18584,plain,
% 9.06/6.49 (xuntil6(s50)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[18583, 18581])).
% 9.06/6.49 tff(18585,plain,
% 9.06/6.49 (until5(s51)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[4398, 18584])).
% 9.06/6.49 tff(18586,plain,
% 9.06/6.49 (~node4(s51)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[4416, 22, 18518])).
% 9.06/6.49 tff(18587,plain,
% 9.06/6.49 (xuntil6(s51) | (~until5(s51))),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[4440, 36, 18586])).
% 9.06/6.49 tff(18588,plain,
% 9.06/6.49 (xuntil6(s51)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[18587, 18585])).
% 9.06/6.49 tff(18589,plain,
% 9.06/6.49 (until5(s52)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[4433, 18588])).
% 9.06/6.49 tff(18590,plain,
% 9.06/6.49 (~node4(s52)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[4420, 22, 18517])).
% 9.06/6.49 tff(18591,plain,
% 9.06/6.49 (xuntil6(s52) | (~until5(s52))),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[4427, 36, 18590])).
% 9.06/6.49 tff(18592,plain,
% 9.06/6.49 (xuntil6(s52)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[18591, 18589])).
% 9.06/6.49 tff(18593,plain,
% 9.06/6.49 (until5(s53)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[4587, 18592])).
% 9.06/6.49 tff(18594,plain,
% 9.06/6.49 (~node4(s53)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[4651, 22, 18516])).
% 9.06/6.49 tff(18595,plain,
% 9.06/6.49 (xuntil6(s53) | (~until5(s53))),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[4658, 36, 18594])).
% 9.06/6.49 tff(18596,plain,
% 9.06/6.49 (xuntil6(s53)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[18595, 18593])).
% 9.06/6.49 tff(18597,plain,
% 9.06/6.49 (until5(s54)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[4638, 18596])).
% 9.06/6.49 tff(18598,plain,
% 9.06/6.49 (~node4(s54)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[4606, 22, 18515])).
% 9.06/6.49 tff(18599,plain,
% 9.06/6.49 (xuntil6(s54) | (~until5(s54))),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[4630, 36, 18598])).
% 9.06/6.49 tff(18600,plain,
% 9.06/6.49 (xuntil6(s54)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[18599, 18597])).
% 9.06/6.49 tff(18601,plain,
% 9.06/6.49 (until5(s55)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[4623, 18600])).
% 9.06/6.49 tff(18602,plain,
% 9.06/6.49 (~node4(s55)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[4610, 22, 18514])).
% 9.06/6.49 tff(18603,plain,
% 9.06/6.49 (xuntil6(s55) | (~until5(s55))),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[4617, 36, 18602])).
% 9.06/6.49 tff(18604,plain,
% 9.06/6.49 (xuntil6(s55)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[18603, 18601])).
% 9.06/6.49 tff(18605,plain,
% 9.06/6.49 (until5(s56)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[4856, 18604])).
% 9.06/6.49 tff(18606,plain,
% 9.06/6.49 (~node4(s56)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[4874, 22, 18513])).
% 9.06/6.49 tff(18607,plain,
% 9.06/6.49 (xuntil6(s56) | (~until5(s56))),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[4898, 36, 18606])).
% 9.06/6.49 tff(18608,plain,
% 9.06/6.49 (xuntil6(s56)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[18607, 18605])).
% 9.06/6.49 tff(18609,plain,
% 9.06/6.49 (until5(s57)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[4891, 18608])).
% 9.06/6.49 tff(18610,plain,
% 9.06/6.49 (~node4(s57)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[4878, 22, 18512])).
% 9.06/6.49 tff(18611,plain,
% 9.06/6.49 (xuntil6(s57) | (~until5(s57))),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[4885, 36, 18610])).
% 9.06/6.49 tff(18612,plain,
% 9.06/6.49 (xuntil6(s57)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[18611, 18609])).
% 9.06/6.49 tff(18613,plain,
% 9.06/6.49 (until5(s58)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[5070, 18612])).
% 9.06/6.49 tff(18614,plain,
% 9.06/6.49 (~node4(s58)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9562, 22, 18511])).
% 9.06/6.49 tff(18615,plain,
% 9.06/6.49 (xuntil6(s58) | (~until5(s58))),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9569, 36, 18614])).
% 9.06/6.49 tff(18616,plain,
% 9.06/6.49 (xuntil6(s58)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[18615, 18613])).
% 9.06/6.49 tff(18617,plain,
% 9.06/6.49 (until5(s59)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9575, 18616])).
% 9.06/6.49 tff(18618,plain,
% 9.06/6.49 (~node4(s59)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9546, 22, 18510])).
% 9.06/6.49 tff(18619,plain,
% 9.06/6.49 (xuntil6(s59) | (~until5(s59))),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9582, 36, 18618])).
% 9.06/6.49 tff(18620,plain,
% 9.06/6.49 (xuntil6(s59)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[18619, 18617])).
% 9.06/6.49 tff(18621,plain,
% 9.06/6.49 (until5(s60)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9587, 18620])).
% 9.06/6.49 tff(18622,plain,
% 9.06/6.49 (~node4(s60)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9591, 22, 18509])).
% 9.06/6.49 tff(18623,plain,
% 9.06/6.49 (xuntil6(s60) | (~until5(s60))),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9598, 36, 18622])).
% 9.06/6.49 tff(18624,plain,
% 9.06/6.49 (xuntil6(s60)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[18623, 18621])).
% 9.06/6.49 tff(18625,plain,
% 9.06/6.49 (until5(s61)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9604, 18624])).
% 9.06/6.49 tff(18626,plain,
% 9.06/6.49 (~node4(s61)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9608, 22, 18508])).
% 9.06/6.49 tff(18627,plain,
% 9.06/6.49 (xuntil6(s61) | (~until5(s61))),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9615, 36, 18626])).
% 9.06/6.49 tff(18628,plain,
% 9.06/6.49 (xuntil6(s61)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[18627, 18625])).
% 9.06/6.49 tff(18629,plain,
% 9.06/6.49 (until5(s62)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9621, 18628])).
% 9.06/6.49 tff(18630,plain,
% 9.06/6.49 (~node4(s62)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9625, 22, 18507])).
% 9.06/6.49 tff(18631,plain,
% 9.06/6.49 (xuntil6(s62) | (~until5(s62))),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9632, 36, 18630])).
% 9.06/6.49 tff(18632,plain,
% 9.06/6.49 (xuntil6(s62)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[18631, 18629])).
% 9.06/6.49 tff(18633,plain,
% 9.06/6.49 (until5(s63)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9638, 18632])).
% 9.06/6.49 tff(18634,plain,
% 9.06/6.49 (~node4(s63)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9642, 22, 18506])).
% 9.06/6.49 tff(18635,plain,
% 9.06/6.49 (xuntil6(s63) | (~until5(s63))),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9649, 36, 18634])).
% 9.06/6.49 tff(18636,plain,
% 9.06/6.49 (xuntil6(s63)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[18635, 18633])).
% 9.06/6.49 tff(18637,plain,
% 9.06/6.49 (until5(s64)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9655, 18636])).
% 9.06/6.49 tff(18638,plain,
% 9.06/6.49 (~node4(s64)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9659, 22, 18505])).
% 9.06/6.49 tff(18639,plain,
% 9.06/6.49 (xuntil6(s64) | (~until5(s64))),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9666, 36, 18638])).
% 9.06/6.49 tff(18640,plain,
% 9.06/6.49 (xuntil6(s64)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[18639, 18637])).
% 9.06/6.49 tff(18641,plain,
% 9.06/6.49 (until5(s65)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9672, 18640])).
% 9.06/6.49 tff(18642,plain,
% 9.06/6.49 (~node4(s65)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9676, 22, 18504])).
% 9.06/6.49 tff(18643,plain,
% 9.06/6.49 (xuntil6(s65) | (~until5(s65))),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9683, 36, 18642])).
% 9.06/6.49 tff(18644,plain,
% 9.06/6.49 (xuntil6(s65)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[18643, 18641])).
% 9.06/6.49 tff(18645,plain,
% 9.06/6.49 (until5(s66)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9689, 18644])).
% 9.06/6.49 tff(18646,plain,
% 9.06/6.49 (~node4(s66)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9693, 22, 18503])).
% 9.06/6.49 tff(18647,plain,
% 9.06/6.49 (xuntil6(s66) | (~until5(s66))),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9700, 36, 18646])).
% 9.06/6.49 tff(18648,plain,
% 9.06/6.49 (xuntil6(s66)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[18647, 18645])).
% 9.06/6.49 tff(18649,plain,
% 9.06/6.49 (until5(s67)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9706, 18648])).
% 9.06/6.49 tff(18650,plain,
% 9.06/6.49 (~node4(s67)),
% 9.06/6.49 inference(unit_resolution,[status(thm)],[9710, 22, 18502])).
% 9.06/6.49 tff(18651,plain,
% 9.06/6.49 (xuntil6(s67) | (~until5(s67))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9717, 36, 18650])).
% 9.06/6.50 tff(18652,plain,
% 9.06/6.50 (xuntil6(s67)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18651, 18649])).
% 9.06/6.50 tff(18653,plain,
% 9.06/6.50 (until5(s68)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9723, 18652])).
% 9.06/6.50 tff(18654,plain,
% 9.06/6.50 (~node4(s68)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9727, 22, 18501])).
% 9.06/6.50 tff(18655,plain,
% 9.06/6.50 (xuntil6(s68) | (~until5(s68))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9734, 36, 18654])).
% 9.06/6.50 tff(18656,plain,
% 9.06/6.50 (xuntil6(s68)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18655, 18653])).
% 9.06/6.50 tff(18657,plain,
% 9.06/6.50 (until5(s69)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9740, 18656])).
% 9.06/6.50 tff(18658,plain,
% 9.06/6.50 (~node4(s69)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9744, 22, 18500])).
% 9.06/6.50 tff(18659,plain,
% 9.06/6.50 (xuntil6(s69) | (~until5(s69))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9751, 36, 18658])).
% 9.06/6.50 tff(18660,plain,
% 9.06/6.50 (xuntil6(s69)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18659, 18657])).
% 9.06/6.50 tff(18661,plain,
% 9.06/6.50 (until5(s70)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9757, 18660])).
% 9.06/6.50 tff(18662,plain,
% 9.06/6.50 (~node4(s70)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9761, 22, 18499])).
% 9.06/6.50 tff(18663,plain,
% 9.06/6.50 (xuntil6(s70) | (~until5(s70))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9768, 36, 18662])).
% 9.06/6.50 tff(18664,plain,
% 9.06/6.50 (xuntil6(s70)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18663, 18661])).
% 9.06/6.50 tff(18665,plain,
% 9.06/6.50 (until5(s71)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9774, 18664])).
% 9.06/6.50 tff(18666,plain,
% 9.06/6.50 (~node4(s71)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9778, 22, 18498])).
% 9.06/6.50 tff(18667,plain,
% 9.06/6.50 (xuntil6(s71) | (~until5(s71))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9785, 36, 18666])).
% 9.06/6.50 tff(18668,plain,
% 9.06/6.50 (xuntil6(s71)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18667, 18665])).
% 9.06/6.50 tff(18669,plain,
% 9.06/6.50 (until5(s72)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9791, 18668])).
% 9.06/6.50 tff(18670,plain,
% 9.06/6.50 (~node4(s72)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9795, 22, 18497])).
% 9.06/6.50 tff(18671,plain,
% 9.06/6.50 (xuntil6(s72) | (~until5(s72))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9802, 36, 18670])).
% 9.06/6.50 tff(18672,plain,
% 9.06/6.50 (xuntil6(s72)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18671, 18669])).
% 9.06/6.50 tff(18673,plain,
% 9.06/6.50 (until5(s73)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9808, 18672])).
% 9.06/6.50 tff(18674,plain,
% 9.06/6.50 (~node4(s73)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9812, 22, 18496])).
% 9.06/6.50 tff(18675,plain,
% 9.06/6.50 (xuntil6(s73) | (~until5(s73))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9819, 36, 18674])).
% 9.06/6.50 tff(18676,plain,
% 9.06/6.50 (xuntil6(s73)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18675, 18673])).
% 9.06/6.50 tff(18677,plain,
% 9.06/6.50 (until5(s74)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9825, 18676])).
% 9.06/6.50 tff(18678,plain,
% 9.06/6.50 (~node4(s74)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9829, 22, 18495])).
% 9.06/6.50 tff(18679,plain,
% 9.06/6.50 (xuntil6(s74) | (~until5(s74))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9836, 36, 18678])).
% 9.06/6.50 tff(18680,plain,
% 9.06/6.50 (xuntil6(s74)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18679, 18677])).
% 9.06/6.50 tff(18681,plain,
% 9.06/6.50 (until5(s75)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9842, 18680])).
% 9.06/6.50 tff(18682,plain,
% 9.06/6.50 (~node4(s75)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9846, 22, 18494])).
% 9.06/6.50 tff(18683,plain,
% 9.06/6.50 (xuntil6(s75) | (~until5(s75))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9853, 36, 18682])).
% 9.06/6.50 tff(18684,plain,
% 9.06/6.50 (xuntil6(s75)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18683, 18681])).
% 9.06/6.50 tff(18685,plain,
% 9.06/6.50 (until5(s76)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9859, 18684])).
% 9.06/6.50 tff(18686,plain,
% 9.06/6.50 (~node4(s76)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9863, 22, 18493])).
% 9.06/6.50 tff(18687,plain,
% 9.06/6.50 (xuntil6(s76) | (~until5(s76))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9870, 36, 18686])).
% 9.06/6.50 tff(18688,plain,
% 9.06/6.50 (xuntil6(s76)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18687, 18685])).
% 9.06/6.50 tff(18689,plain,
% 9.06/6.50 ($false),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9876, 18688, 18492])).
% 9.06/6.50 tff(18690,plain,(always3(s115) | xuntil6(s115)), inference(lemma,lemma(discharge,[]))).
% 9.06/6.50 tff(18691,plain,
% 9.06/6.50 (always3(s115)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18690, 18299])).
% 9.06/6.50 tff(18692,plain,
% 9.06/6.50 (always3(s116)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[8870, 18691])).
% 9.06/6.50 tff(18693,plain,
% 9.06/6.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s116)) | (~m_main_v_state(s116, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s116)) | (~m_main_v_state(s116, c_busy)))),
% 9.06/6.50 inference(rewrite,[status(thm)],[])).
% 9.06/6.50 tff(18694,plain,
% 9.06/6.50 (((~m_main_v_state(s116, c_busy)) | (~always3(s116))) <=> ((~always3(s116)) | (~m_main_v_state(s116, c_busy)))),
% 9.06/6.50 inference(rewrite,[status(thm)],[])).
% 9.06/6.50 tff(18695,plain,
% 9.06/6.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s116, c_busy)) | (~always3(s116)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s116)) | (~m_main_v_state(s116, c_busy))))),
% 9.06/6.50 inference(monotonicity,[status(thm)],[18694])).
% 9.06/6.50 tff(18696,plain,
% 9.06/6.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s116, c_busy)) | (~always3(s116)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s116)) | (~m_main_v_state(s116, c_busy)))),
% 9.06/6.50 inference(transitivity,[status(thm)],[18695, 18693])).
% 9.06/6.50 tff(18697,plain,
% 9.06/6.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s116, c_busy)) | (~always3(s116)))),
% 9.06/6.50 inference(quant_inst,[status(thm)],[])).
% 9.06/6.50 tff(18698,plain,
% 9.06/6.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s116)) | (~m_main_v_state(s116, c_busy))),
% 9.06/6.50 inference(modus_ponens,[status(thm)],[18697, 18696])).
% 9.06/6.50 tff(18699,plain,
% 9.06/6.50 (~m_main_v_state(s116, c_busy)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18698, 170, 18692])).
% 9.06/6.50 tff(18700,plain,
% 9.06/6.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s115)) | (~m_main_v_state(s115, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s115)) | (~m_main_v_state(s115, c_busy)))),
% 9.06/6.50 inference(rewrite,[status(thm)],[])).
% 9.06/6.50 tff(18701,plain,
% 9.06/6.50 (((~m_main_v_state(s115, c_busy)) | (~always3(s115))) <=> ((~always3(s115)) | (~m_main_v_state(s115, c_busy)))),
% 9.06/6.50 inference(rewrite,[status(thm)],[])).
% 9.06/6.50 tff(18702,plain,
% 9.06/6.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s115, c_busy)) | (~always3(s115)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s115)) | (~m_main_v_state(s115, c_busy))))),
% 9.06/6.50 inference(monotonicity,[status(thm)],[18701])).
% 9.06/6.50 tff(18703,plain,
% 9.06/6.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s115, c_busy)) | (~always3(s115)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s115)) | (~m_main_v_state(s115, c_busy)))),
% 9.06/6.50 inference(transitivity,[status(thm)],[18702, 18700])).
% 9.06/6.50 tff(18704,plain,
% 9.06/6.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s115, c_busy)) | (~always3(s115)))),
% 9.06/6.50 inference(quant_inst,[status(thm)],[])).
% 9.06/6.50 tff(18705,plain,
% 9.06/6.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s115)) | (~m_main_v_state(s115, c_busy))),
% 9.06/6.50 inference(modus_ponens,[status(thm)],[18704, 18703])).
% 9.06/6.50 tff(18706,plain,
% 9.06/6.50 (~m_main_v_state(s115, c_busy)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18705, 170, 18691])).
% 9.06/6.50 tff(18707,plain,
% 9.06/6.50 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s115, c_busy) | m_main_v_state(s115, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s115, c_busy) | m_main_v_state(s115, c_ready))),
% 9.06/6.50 inference(rewrite,[status(thm)],[])).
% 9.06/6.50 tff(18708,plain,
% 9.06/6.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s115, c_busy) | m_main_v_state(s115, c_ready))),
% 9.06/6.50 inference(quant_inst,[status(thm)],[])).
% 9.06/6.50 tff(18709,plain,
% 9.06/6.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s115, c_busy) | m_main_v_state(s115, c_ready)),
% 9.06/6.50 inference(modus_ponens,[status(thm)],[18708, 18707])).
% 9.06/6.50 tff(18710,plain,
% 9.06/6.50 (m_main_v_state(s115, c_ready)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18709, 213, 18706])).
% 9.06/6.50 tff(18711,assumption,(~m_main_v_state(s115, c_busy)), introduced(assumption)).
% 9.06/6.50 tff(18712,assumption,(node4(s114)), introduced(assumption)).
% 9.06/6.50 tff(18713,plain,
% 9.06/6.50 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s114) | (~node4(s114)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s114) | (~node4(s114)))),
% 9.06/6.50 inference(rewrite,[status(thm)],[])).
% 9.06/6.50 tff(18714,plain,
% 9.06/6.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s114) | (~node4(s114)))),
% 9.06/6.50 inference(quant_inst,[status(thm)],[])).
% 9.06/6.50 tff(18715,plain,
% 9.06/6.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s114) | (~node4(s114))),
% 9.06/6.50 inference(modus_ponens,[status(thm)],[18714, 18713])).
% 9.06/6.50 tff(18716,plain,
% 9.06/6.50 (m_main_v_request(s114)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18715, 154, 18712])).
% 9.06/6.50 tff(18717,plain,
% 9.06/6.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s114, s115)) | node2(s114, s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s114, s115)) | node2(s114, s115))),
% 9.06/6.50 inference(rewrite,[status(thm)],[])).
% 9.06/6.50 tff(18718,plain,
% 9.06/6.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s114, s115)) | node2(s114, s115))),
% 9.06/6.50 inference(quant_inst,[status(thm)],[])).
% 9.06/6.50 tff(18719,plain,
% 9.06/6.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s114, s115)) | node2(s114, s115)),
% 9.06/6.50 inference(modus_ponens,[status(thm)],[18718, 18717])).
% 9.06/6.50 tff(18720,plain,
% 9.06/6.50 (node2(s114, s115)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18719, 7, 8878])).
% 9.06/6.50 tff(18721,plain,
% 9.06/6.50 (((~![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(s114, c_ready)) | (~node2(s114, s115)) | m_main_v_state(s115, c_busy) | (~m_main_v_request(s114)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s114, c_ready)) | (~node2(s114, s115)) | m_main_v_state(s115, c_busy) | (~m_main_v_request(s114)))),
% 9.06/6.50 inference(rewrite,[status(thm)],[])).
% 9.06/6.50 tff(18722,plain,
% 9.06/6.50 ((~![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(s114, c_ready)) | (~node2(s114, s115)) | m_main_v_state(s115, c_busy) | (~m_main_v_request(s114)))),
% 9.06/6.50 inference(quant_inst,[status(thm)],[])).
% 9.06/6.50 tff(18723,plain,
% 9.06/6.50 ((~![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(s114, c_ready)) | (~node2(s114, s115)) | m_main_v_state(s115, c_busy) | (~m_main_v_request(s114))),
% 9.06/6.50 inference(modus_ponens,[status(thm)],[18722, 18721])).
% 9.06/6.50 tff(18724,plain,
% 9.06/6.50 ((~m_main_v_state(s114, c_ready)) | m_main_v_state(s115, c_busy) | (~m_main_v_request(s114))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18723, 191, 18720])).
% 9.06/6.50 tff(18725,plain,
% 9.06/6.50 (~m_main_v_state(s114, c_ready)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18724, 18716, 18711])).
% 9.06/6.50 tff(18726,plain,
% 9.06/6.50 (always3(s114)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10509, 22, 18712])).
% 9.06/6.50 tff(18727,plain,
% 9.06/6.50 (~m_main_v_state(s114, c_busy)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[14827, 170, 18726])).
% 9.06/6.50 tff(18728,plain,
% 9.06/6.50 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s114, c_busy) | m_main_v_state(s114, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s114, c_busy) | m_main_v_state(s114, c_ready))),
% 9.06/6.50 inference(rewrite,[status(thm)],[])).
% 9.06/6.50 tff(18729,plain,
% 9.06/6.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s114, c_busy) | m_main_v_state(s114, c_ready))),
% 9.06/6.50 inference(quant_inst,[status(thm)],[])).
% 9.06/6.50 tff(18730,plain,
% 9.06/6.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s114, c_busy) | m_main_v_state(s114, c_ready)),
% 9.06/6.50 inference(modus_ponens,[status(thm)],[18729, 18728])).
% 9.06/6.50 tff(18731,plain,
% 9.06/6.50 ($false),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18730, 213, 18727, 18725])).
% 9.06/6.50 tff(18732,plain,((~node4(s114)) | m_main_v_state(s115, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.06/6.50 tff(18733,plain,
% 9.06/6.50 (~node4(s114)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18732, 18706])).
% 9.06/6.50 tff(18734,assumption,(until5(s114)), introduced(assumption)).
% 9.06/6.50 tff(18735,plain,
% 9.06/6.50 (xuntil6(s114) | node4(s114)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10516, 36, 18734])).
% 9.06/6.50 tff(18736,plain,
% 9.06/6.50 (xuntil6(s114)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18735, 18733])).
% 9.06/6.50 tff(18737,plain,
% 9.06/6.50 (until5(s115)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10522, 18736])).
% 9.06/6.50 tff(18738,plain,
% 9.06/6.50 (node4(s115)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18304, 18737])).
% 9.06/6.50 tff(18739,plain,
% 9.06/6.50 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s115) | (~node4(s115)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s115) | (~node4(s115)))),
% 9.06/6.50 inference(rewrite,[status(thm)],[])).
% 9.06/6.50 tff(18740,plain,
% 9.06/6.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s115) | (~node4(s115)))),
% 9.06/6.50 inference(quant_inst,[status(thm)],[])).
% 9.06/6.50 tff(18741,plain,
% 9.06/6.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s115) | (~node4(s115))),
% 9.06/6.50 inference(modus_ponens,[status(thm)],[18740, 18739])).
% 9.06/6.50 tff(18742,plain,
% 9.06/6.50 (m_main_v_request(s115)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18741, 154, 18738])).
% 9.06/6.50 tff(18743,plain,
% 9.06/6.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s115, s116)) | node2(s115, s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s115, s116)) | node2(s115, s116))),
% 9.06/6.50 inference(rewrite,[status(thm)],[])).
% 9.06/6.50 tff(18744,plain,
% 9.06/6.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s115, s116)) | node2(s115, s116))),
% 9.06/6.50 inference(quant_inst,[status(thm)],[])).
% 9.06/6.50 tff(18745,plain,
% 9.06/6.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s115, s116)) | node2(s115, s116)),
% 9.06/6.50 inference(modus_ponens,[status(thm)],[18744, 18743])).
% 9.06/6.50 tff(18746,plain,
% 9.06/6.50 (node2(s115, s116)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18745, 7, 8866])).
% 9.06/6.50 tff(18747,plain,
% 9.06/6.50 (((~![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(s115, c_ready)) | (~node2(s115, s116)) | m_main_v_state(s116, c_busy) | (~m_main_v_request(s115)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s115, c_ready)) | (~node2(s115, s116)) | m_main_v_state(s116, c_busy) | (~m_main_v_request(s115)))),
% 9.06/6.50 inference(rewrite,[status(thm)],[])).
% 9.06/6.50 tff(18748,plain,
% 9.06/6.50 ((~![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(s115, c_ready)) | (~node2(s115, s116)) | m_main_v_state(s116, c_busy) | (~m_main_v_request(s115)))),
% 9.06/6.50 inference(quant_inst,[status(thm)],[])).
% 9.06/6.50 tff(18749,plain,
% 9.06/6.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s115, c_ready)) | (~node2(s115, s116)) | m_main_v_state(s116, c_busy) | (~m_main_v_request(s115))),
% 9.06/6.50 inference(modus_ponens,[status(thm)],[18748, 18747])).
% 9.06/6.50 tff(18750,plain,
% 9.06/6.50 ((~m_main_v_state(s115, c_ready)) | m_main_v_state(s116, c_busy) | (~m_main_v_request(s115))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18749, 191, 18746])).
% 9.06/6.50 tff(18751,plain,
% 9.06/6.50 ($false),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18750, 18742, 18710, 18699])).
% 9.06/6.50 tff(18752,plain,(xuntil6(s115) | (~until5(s114))), inference(lemma,lemma(discharge,[]))).
% 9.06/6.50 tff(18753,plain,
% 9.06/6.50 (xuntil6(s115)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18752, 18298])).
% 9.06/6.50 tff(18754,plain,
% 9.06/6.50 (until5(s116)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10539, 18753])).
% 9.06/6.50 tff(18755,assumption,(~xuntil6(s117)), introduced(assumption)).
% 9.06/6.50 tff(18756,assumption,(~always3(s117)), introduced(assumption)).
% 9.06/6.50 tff(18757,plain,
% 9.06/6.50 (~always3(s116)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[8858, 18756])).
% 9.06/6.50 tff(18758,plain,
% 9.06/6.50 (~node4(s116)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10543, 22, 18757])).
% 9.06/6.50 tff(18759,plain,
% 9.06/6.50 (~node4(s117)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10560, 22, 18756])).
% 9.06/6.50 tff(18760,plain,
% 9.06/6.50 (node4(s117) | (~until5(s117))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10567, 36, 18755])).
% 9.06/6.50 tff(18761,plain,
% 9.06/6.50 (~until5(s117)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18760, 18759])).
% 9.06/6.50 tff(18762,plain,
% 9.06/6.50 (~xuntil6(s116)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10556, 18761])).
% 9.06/6.50 tff(18763,plain,
% 9.06/6.50 (~until5(s116)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10550, 36, 18762, 18758])).
% 9.06/6.50 tff(18764,plain,
% 9.06/6.50 (~xuntil6(s115)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10539, 18763])).
% 9.06/6.50 tff(18765,plain,
% 9.06/6.50 (~always3(s115)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[8870, 18757])).
% 9.06/6.50 tff(18766,plain,
% 9.06/6.50 (~node4(s115)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10526, 22, 18765])).
% 9.06/6.50 tff(18767,plain,
% 9.06/6.50 (xuntil6(s115) | (~until5(s115))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10533, 36, 18766])).
% 9.06/6.50 tff(18768,plain,
% 9.06/6.50 (~until5(s115)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18767, 18764])).
% 9.06/6.50 tff(18769,plain,
% 9.06/6.50 (~xuntil6(s114)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10522, 18768])).
% 9.06/6.50 tff(18770,plain,
% 9.06/6.50 (~always3(s114)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[8882, 18765])).
% 9.06/6.50 tff(18771,plain,
% 9.06/6.50 (~node4(s114)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10509, 22, 18770])).
% 9.06/6.50 tff(18772,plain,
% 9.06/6.50 (xuntil6(s114) | (~until5(s114))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10516, 36, 18771])).
% 9.06/6.50 tff(18773,plain,
% 9.06/6.50 (~until5(s114)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18772, 18769])).
% 9.06/6.50 tff(18774,plain,
% 9.06/6.50 (~xuntil6(s113)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10505, 18773])).
% 9.06/6.50 tff(18775,plain,
% 9.06/6.50 (~always3(s113)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[8894, 18770])).
% 9.06/6.50 tff(18776,plain,
% 9.06/6.50 (~node4(s113)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10492, 22, 18775])).
% 9.06/6.50 tff(18777,plain,
% 9.06/6.50 (xuntil6(s113) | (~until5(s113))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10499, 36, 18776])).
% 9.06/6.50 tff(18778,plain,
% 9.06/6.50 (~until5(s113)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18777, 18774])).
% 9.06/6.50 tff(18779,plain,
% 9.06/6.50 (~xuntil6(s112)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10488, 18778])).
% 9.06/6.50 tff(18780,plain,
% 9.06/6.50 (~always3(s112)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[8906, 18775])).
% 9.06/6.50 tff(18781,plain,
% 9.06/6.50 (~node4(s112)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10475, 22, 18780])).
% 9.06/6.50 tff(18782,plain,
% 9.06/6.50 (xuntil6(s112) | (~until5(s112))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10482, 36, 18781])).
% 9.06/6.50 tff(18783,plain,
% 9.06/6.50 (~until5(s112)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18782, 18779])).
% 9.06/6.50 tff(18784,plain,
% 9.06/6.50 (~xuntil6(s111)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10471, 18783])).
% 9.06/6.50 tff(18785,plain,
% 9.06/6.50 (~always3(s111)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[8918, 18780])).
% 9.06/6.50 tff(18786,plain,
% 9.06/6.50 (~node4(s111)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10458, 22, 18785])).
% 9.06/6.50 tff(18787,plain,
% 9.06/6.50 (xuntil6(s111) | (~until5(s111))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10465, 36, 18786])).
% 9.06/6.50 tff(18788,plain,
% 9.06/6.50 (~until5(s111)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18787, 18784])).
% 9.06/6.50 tff(18789,plain,
% 9.06/6.50 (~xuntil6(s110)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10454, 18788])).
% 9.06/6.50 tff(18790,plain,
% 9.06/6.50 (~always3(s110)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[8930, 18785])).
% 9.06/6.50 tff(18791,plain,
% 9.06/6.50 (~node4(s110)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10441, 22, 18790])).
% 9.06/6.50 tff(18792,plain,
% 9.06/6.50 (xuntil6(s110) | (~until5(s110))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10448, 36, 18791])).
% 9.06/6.50 tff(18793,plain,
% 9.06/6.50 (~until5(s110)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18792, 18789])).
% 9.06/6.50 tff(18794,plain,
% 9.06/6.50 (~xuntil6(s109)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10437, 18793])).
% 9.06/6.50 tff(18795,plain,
% 9.06/6.50 (~always3(s109)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[8942, 18790])).
% 9.06/6.50 tff(18796,plain,
% 9.06/6.50 (~node4(s109)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10424, 22, 18795])).
% 9.06/6.50 tff(18797,plain,
% 9.06/6.50 (xuntil6(s109) | (~until5(s109))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10431, 36, 18796])).
% 9.06/6.50 tff(18798,plain,
% 9.06/6.50 (~until5(s109)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18797, 18794])).
% 9.06/6.50 tff(18799,plain,
% 9.06/6.50 (~xuntil6(s108)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10420, 18798])).
% 9.06/6.50 tff(18800,plain,
% 9.06/6.50 (~always3(s108)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[8954, 18795])).
% 9.06/6.50 tff(18801,plain,
% 9.06/6.50 (~node4(s108)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10407, 22, 18800])).
% 9.06/6.50 tff(18802,plain,
% 9.06/6.50 (xuntil6(s108) | (~until5(s108))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10414, 36, 18801])).
% 9.06/6.50 tff(18803,plain,
% 9.06/6.50 (~until5(s108)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18802, 18799])).
% 9.06/6.50 tff(18804,plain,
% 9.06/6.50 (~xuntil6(s107)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10403, 18803])).
% 9.06/6.50 tff(18805,plain,
% 9.06/6.50 (~always3(s107)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[8966, 18800])).
% 9.06/6.50 tff(18806,plain,
% 9.06/6.50 (~node4(s107)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10390, 22, 18805])).
% 9.06/6.50 tff(18807,plain,
% 9.06/6.50 (xuntil6(s107) | (~until5(s107))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10397, 36, 18806])).
% 9.06/6.50 tff(18808,plain,
% 9.06/6.50 (~until5(s107)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18807, 18804])).
% 9.06/6.50 tff(18809,plain,
% 9.06/6.50 (~xuntil6(s106)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10386, 18808])).
% 9.06/6.50 tff(18810,plain,
% 9.06/6.50 (~always3(s106)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[8978, 18805])).
% 9.06/6.50 tff(18811,plain,
% 9.06/6.50 (~node4(s106)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10373, 22, 18810])).
% 9.06/6.50 tff(18812,plain,
% 9.06/6.50 (xuntil6(s106) | (~until5(s106))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10380, 36, 18811])).
% 9.06/6.50 tff(18813,plain,
% 9.06/6.50 (~until5(s106)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18812, 18809])).
% 9.06/6.50 tff(18814,plain,
% 9.06/6.50 (~xuntil6(s105)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10369, 18813])).
% 9.06/6.50 tff(18815,plain,
% 9.06/6.50 (~always3(s105)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[8990, 18810])).
% 9.06/6.50 tff(18816,plain,
% 9.06/6.50 (~node4(s105)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10356, 22, 18815])).
% 9.06/6.50 tff(18817,plain,
% 9.06/6.50 (xuntil6(s105) | (~until5(s105))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10363, 36, 18816])).
% 9.06/6.50 tff(18818,plain,
% 9.06/6.50 (~until5(s105)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18817, 18814])).
% 9.06/6.50 tff(18819,plain,
% 9.06/6.50 (~xuntil6(s104)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10352, 18818])).
% 9.06/6.50 tff(18820,plain,
% 9.06/6.50 (~always3(s104)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9002, 18815])).
% 9.06/6.50 tff(18821,plain,
% 9.06/6.50 (~node4(s104)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10339, 22, 18820])).
% 9.06/6.50 tff(18822,plain,
% 9.06/6.50 (xuntil6(s104) | (~until5(s104))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10346, 36, 18821])).
% 9.06/6.50 tff(18823,plain,
% 9.06/6.50 (~until5(s104)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18822, 18819])).
% 9.06/6.50 tff(18824,plain,
% 9.06/6.50 (~xuntil6(s103)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10335, 18823])).
% 9.06/6.50 tff(18825,plain,
% 9.06/6.50 (~always3(s103)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9014, 18820])).
% 9.06/6.50 tff(18826,plain,
% 9.06/6.50 (~node4(s103)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10322, 22, 18825])).
% 9.06/6.50 tff(18827,plain,
% 9.06/6.50 (xuntil6(s103) | (~until5(s103))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10329, 36, 18826])).
% 9.06/6.50 tff(18828,plain,
% 9.06/6.50 (~until5(s103)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18827, 18824])).
% 9.06/6.50 tff(18829,plain,
% 9.06/6.50 (~xuntil6(s102)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10318, 18828])).
% 9.06/6.50 tff(18830,plain,
% 9.06/6.50 (~always3(s102)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9026, 18825])).
% 9.06/6.50 tff(18831,plain,
% 9.06/6.50 (~node4(s102)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10305, 22, 18830])).
% 9.06/6.50 tff(18832,plain,
% 9.06/6.50 (xuntil6(s102) | (~until5(s102))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10312, 36, 18831])).
% 9.06/6.50 tff(18833,plain,
% 9.06/6.50 (~until5(s102)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18832, 18829])).
% 9.06/6.50 tff(18834,plain,
% 9.06/6.50 (~xuntil6(s101)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10301, 18833])).
% 9.06/6.50 tff(18835,plain,
% 9.06/6.50 (~always3(s101)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9038, 18830])).
% 9.06/6.50 tff(18836,plain,
% 9.06/6.50 (~node4(s101)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10288, 22, 18835])).
% 9.06/6.50 tff(18837,plain,
% 9.06/6.50 (xuntil6(s101) | (~until5(s101))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10295, 36, 18836])).
% 9.06/6.50 tff(18838,plain,
% 9.06/6.50 (~until5(s101)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18837, 18834])).
% 9.06/6.50 tff(18839,plain,
% 9.06/6.50 (~xuntil6(s100)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10284, 18838])).
% 9.06/6.50 tff(18840,plain,
% 9.06/6.50 (~always3(s100)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9050, 18835])).
% 9.06/6.50 tff(18841,plain,
% 9.06/6.50 (~node4(s100)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10271, 22, 18840])).
% 9.06/6.50 tff(18842,plain,
% 9.06/6.50 (xuntil6(s100) | (~until5(s100))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10278, 36, 18841])).
% 9.06/6.50 tff(18843,plain,
% 9.06/6.50 (~until5(s100)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18842, 18839])).
% 9.06/6.50 tff(18844,plain,
% 9.06/6.50 (~xuntil6(s99)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10267, 18843])).
% 9.06/6.50 tff(18845,plain,
% 9.06/6.50 (~always3(s99)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9062, 18840])).
% 9.06/6.50 tff(18846,plain,
% 9.06/6.50 (~node4(s99)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10254, 22, 18845])).
% 9.06/6.50 tff(18847,plain,
% 9.06/6.50 (xuntil6(s99) | (~until5(s99))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10261, 36, 18846])).
% 9.06/6.50 tff(18848,plain,
% 9.06/6.50 (~until5(s99)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18847, 18844])).
% 9.06/6.50 tff(18849,plain,
% 9.06/6.50 (~xuntil6(s98)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10250, 18848])).
% 9.06/6.50 tff(18850,plain,
% 9.06/6.50 (~always3(s98)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9074, 18845])).
% 9.06/6.50 tff(18851,plain,
% 9.06/6.50 (~node4(s98)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10237, 22, 18850])).
% 9.06/6.50 tff(18852,plain,
% 9.06/6.50 (xuntil6(s98) | (~until5(s98))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10244, 36, 18851])).
% 9.06/6.50 tff(18853,plain,
% 9.06/6.50 (~until5(s98)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18852, 18849])).
% 9.06/6.50 tff(18854,plain,
% 9.06/6.50 (~xuntil6(s97)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10233, 18853])).
% 9.06/6.50 tff(18855,plain,
% 9.06/6.50 (~always3(s97)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9086, 18850])).
% 9.06/6.50 tff(18856,plain,
% 9.06/6.50 (~node4(s97)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10220, 22, 18855])).
% 9.06/6.50 tff(18857,plain,
% 9.06/6.50 (xuntil6(s97) | (~until5(s97))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10227, 36, 18856])).
% 9.06/6.50 tff(18858,plain,
% 9.06/6.50 (~until5(s97)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18857, 18854])).
% 9.06/6.50 tff(18859,plain,
% 9.06/6.50 (~xuntil6(s96)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10216, 18858])).
% 9.06/6.50 tff(18860,plain,
% 9.06/6.50 (~always3(s96)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9098, 18855])).
% 9.06/6.50 tff(18861,plain,
% 9.06/6.50 (~node4(s96)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10203, 22, 18860])).
% 9.06/6.50 tff(18862,plain,
% 9.06/6.50 (xuntil6(s96) | (~until5(s96))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10210, 36, 18861])).
% 9.06/6.50 tff(18863,plain,
% 9.06/6.50 (~until5(s96)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18862, 18859])).
% 9.06/6.50 tff(18864,plain,
% 9.06/6.50 (~xuntil6(s95)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10199, 18863])).
% 9.06/6.50 tff(18865,plain,
% 9.06/6.50 (~always3(s95)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9110, 18860])).
% 9.06/6.50 tff(18866,plain,
% 9.06/6.50 (~node4(s95)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10186, 22, 18865])).
% 9.06/6.50 tff(18867,plain,
% 9.06/6.50 (xuntil6(s95) | (~until5(s95))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10193, 36, 18866])).
% 9.06/6.50 tff(18868,plain,
% 9.06/6.50 (~until5(s95)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18867, 18864])).
% 9.06/6.50 tff(18869,plain,
% 9.06/6.50 (~xuntil6(s94)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10182, 18868])).
% 9.06/6.50 tff(18870,plain,
% 9.06/6.50 (~always3(s94)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9122, 18865])).
% 9.06/6.50 tff(18871,plain,
% 9.06/6.50 (~node4(s94)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10169, 22, 18870])).
% 9.06/6.50 tff(18872,plain,
% 9.06/6.50 (xuntil6(s94) | (~until5(s94))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10176, 36, 18871])).
% 9.06/6.50 tff(18873,plain,
% 9.06/6.50 (~until5(s94)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18872, 18869])).
% 9.06/6.50 tff(18874,plain,
% 9.06/6.50 (~xuntil6(s93)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10165, 18873])).
% 9.06/6.50 tff(18875,plain,
% 9.06/6.50 (~always3(s93)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9134, 18870])).
% 9.06/6.50 tff(18876,plain,
% 9.06/6.50 (~node4(s93)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10152, 22, 18875])).
% 9.06/6.50 tff(18877,plain,
% 9.06/6.50 (xuntil6(s93) | (~until5(s93))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10159, 36, 18876])).
% 9.06/6.50 tff(18878,plain,
% 9.06/6.50 (~until5(s93)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18877, 18874])).
% 9.06/6.50 tff(18879,plain,
% 9.06/6.50 (~xuntil6(s92)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10148, 18878])).
% 9.06/6.50 tff(18880,plain,
% 9.06/6.50 (~always3(s92)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9146, 18875])).
% 9.06/6.50 tff(18881,plain,
% 9.06/6.50 (~node4(s92)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10135, 22, 18880])).
% 9.06/6.50 tff(18882,plain,
% 9.06/6.50 (xuntil6(s92) | (~until5(s92))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10142, 36, 18881])).
% 9.06/6.50 tff(18883,plain,
% 9.06/6.50 (~until5(s92)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18882, 18879])).
% 9.06/6.50 tff(18884,plain,
% 9.06/6.50 (~xuntil6(s91)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10131, 18883])).
% 9.06/6.50 tff(18885,plain,
% 9.06/6.50 (~always3(s91)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9158, 18880])).
% 9.06/6.50 tff(18886,plain,
% 9.06/6.50 (~node4(s91)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10118, 22, 18885])).
% 9.06/6.50 tff(18887,plain,
% 9.06/6.50 (xuntil6(s91) | (~until5(s91))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10125, 36, 18886])).
% 9.06/6.50 tff(18888,plain,
% 9.06/6.50 (~until5(s91)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18887, 18884])).
% 9.06/6.50 tff(18889,plain,
% 9.06/6.50 (~xuntil6(s90)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10114, 18888])).
% 9.06/6.50 tff(18890,plain,
% 9.06/6.50 (~always3(s90)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9170, 18885])).
% 9.06/6.50 tff(18891,plain,
% 9.06/6.50 (~node4(s90)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10101, 22, 18890])).
% 9.06/6.50 tff(18892,plain,
% 9.06/6.50 (xuntil6(s90) | (~until5(s90))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10108, 36, 18891])).
% 9.06/6.50 tff(18893,plain,
% 9.06/6.50 (~until5(s90)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18892, 18889])).
% 9.06/6.50 tff(18894,plain,
% 9.06/6.50 (~xuntil6(s89)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10097, 18893])).
% 9.06/6.50 tff(18895,plain,
% 9.06/6.50 (~always3(s89)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9182, 18890])).
% 9.06/6.50 tff(18896,plain,
% 9.06/6.50 (~node4(s89)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10084, 22, 18895])).
% 9.06/6.50 tff(18897,plain,
% 9.06/6.50 (xuntil6(s89) | (~until5(s89))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10091, 36, 18896])).
% 9.06/6.50 tff(18898,plain,
% 9.06/6.50 (~until5(s89)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18897, 18894])).
% 9.06/6.50 tff(18899,plain,
% 9.06/6.50 (~xuntil6(s88)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10080, 18898])).
% 9.06/6.50 tff(18900,plain,
% 9.06/6.50 (~always3(s88)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9194, 18895])).
% 9.06/6.50 tff(18901,plain,
% 9.06/6.50 (~node4(s88)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10067, 22, 18900])).
% 9.06/6.50 tff(18902,plain,
% 9.06/6.50 (xuntil6(s88) | (~until5(s88))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10074, 36, 18901])).
% 9.06/6.50 tff(18903,plain,
% 9.06/6.50 (~until5(s88)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18902, 18899])).
% 9.06/6.50 tff(18904,plain,
% 9.06/6.50 (~xuntil6(s87)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10063, 18903])).
% 9.06/6.50 tff(18905,plain,
% 9.06/6.50 (~always3(s87)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9206, 18900])).
% 9.06/6.50 tff(18906,plain,
% 9.06/6.50 (~node4(s87)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10050, 22, 18905])).
% 9.06/6.50 tff(18907,plain,
% 9.06/6.50 (xuntil6(s87) | (~until5(s87))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10057, 36, 18906])).
% 9.06/6.50 tff(18908,plain,
% 9.06/6.50 (~until5(s87)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18907, 18904])).
% 9.06/6.50 tff(18909,plain,
% 9.06/6.50 (~xuntil6(s86)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10046, 18908])).
% 9.06/6.50 tff(18910,plain,
% 9.06/6.50 (~always3(s86)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9218, 18905])).
% 9.06/6.50 tff(18911,plain,
% 9.06/6.50 (~node4(s86)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10033, 22, 18910])).
% 9.06/6.50 tff(18912,plain,
% 9.06/6.50 (xuntil6(s86) | (~until5(s86))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10040, 36, 18911])).
% 9.06/6.50 tff(18913,plain,
% 9.06/6.50 (~until5(s86)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18912, 18909])).
% 9.06/6.50 tff(18914,plain,
% 9.06/6.50 (~xuntil6(s85)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10029, 18913])).
% 9.06/6.50 tff(18915,plain,
% 9.06/6.50 (~always3(s85)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9230, 18910])).
% 9.06/6.50 tff(18916,plain,
% 9.06/6.50 (~node4(s85)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10016, 22, 18915])).
% 9.06/6.50 tff(18917,plain,
% 9.06/6.50 (xuntil6(s85) | (~until5(s85))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10023, 36, 18916])).
% 9.06/6.50 tff(18918,plain,
% 9.06/6.50 (~until5(s85)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18917, 18914])).
% 9.06/6.50 tff(18919,plain,
% 9.06/6.50 (~xuntil6(s84)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10012, 18918])).
% 9.06/6.50 tff(18920,plain,
% 9.06/6.50 (~always3(s84)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9242, 18915])).
% 9.06/6.50 tff(18921,plain,
% 9.06/6.50 (~node4(s84)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9999, 22, 18920])).
% 9.06/6.50 tff(18922,plain,
% 9.06/6.50 (xuntil6(s84) | (~until5(s84))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[10006, 36, 18921])).
% 9.06/6.50 tff(18923,plain,
% 9.06/6.50 (~until5(s84)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18922, 18919])).
% 9.06/6.50 tff(18924,plain,
% 9.06/6.50 (~xuntil6(s83)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9995, 18923])).
% 9.06/6.50 tff(18925,plain,
% 9.06/6.50 (~always3(s83)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9254, 18920])).
% 9.06/6.50 tff(18926,plain,
% 9.06/6.50 (~node4(s83)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9982, 22, 18925])).
% 9.06/6.50 tff(18927,plain,
% 9.06/6.50 (xuntil6(s83) | (~until5(s83))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9989, 36, 18926])).
% 9.06/6.50 tff(18928,plain,
% 9.06/6.50 (~until5(s83)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18927, 18924])).
% 9.06/6.50 tff(18929,plain,
% 9.06/6.50 (~xuntil6(s82)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9978, 18928])).
% 9.06/6.50 tff(18930,plain,
% 9.06/6.50 (~always3(s82)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9266, 18925])).
% 9.06/6.50 tff(18931,plain,
% 9.06/6.50 (~node4(s82)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9965, 22, 18930])).
% 9.06/6.50 tff(18932,plain,
% 9.06/6.50 (xuntil6(s82) | (~until5(s82))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9972, 36, 18931])).
% 9.06/6.50 tff(18933,plain,
% 9.06/6.50 (~until5(s82)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18932, 18929])).
% 9.06/6.50 tff(18934,plain,
% 9.06/6.50 (~xuntil6(s81)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9961, 18933])).
% 9.06/6.50 tff(18935,plain,
% 9.06/6.50 (~always3(s81)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9278, 18930])).
% 9.06/6.50 tff(18936,plain,
% 9.06/6.50 (~node4(s81)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9948, 22, 18935])).
% 9.06/6.50 tff(18937,plain,
% 9.06/6.50 (xuntil6(s81) | (~until5(s81))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9955, 36, 18936])).
% 9.06/6.50 tff(18938,plain,
% 9.06/6.50 (~until5(s81)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18937, 18934])).
% 9.06/6.50 tff(18939,plain,
% 9.06/6.50 (~xuntil6(s80)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9944, 18938])).
% 9.06/6.50 tff(18940,plain,
% 9.06/6.50 (~always3(s80)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9290, 18935])).
% 9.06/6.50 tff(18941,plain,
% 9.06/6.50 (~node4(s80)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9931, 22, 18940])).
% 9.06/6.50 tff(18942,plain,
% 9.06/6.50 (xuntil6(s80) | (~until5(s80))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9938, 36, 18941])).
% 9.06/6.50 tff(18943,plain,
% 9.06/6.50 (~until5(s80)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18942, 18939])).
% 9.06/6.50 tff(18944,plain,
% 9.06/6.50 (~xuntil6(s79)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9927, 18943])).
% 9.06/6.50 tff(18945,plain,
% 9.06/6.50 (~always3(s79)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9302, 18940])).
% 9.06/6.50 tff(18946,plain,
% 9.06/6.50 (~node4(s79)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9914, 22, 18945])).
% 9.06/6.50 tff(18947,plain,
% 9.06/6.50 (xuntil6(s79) | (~until5(s79))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9921, 36, 18946])).
% 9.06/6.50 tff(18948,plain,
% 9.06/6.50 (~until5(s79)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18947, 18944])).
% 9.06/6.50 tff(18949,plain,
% 9.06/6.50 (~xuntil6(s78)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9910, 18948])).
% 9.06/6.50 tff(18950,plain,
% 9.06/6.50 (~always3(s78)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9314, 18945])).
% 9.06/6.50 tff(18951,plain,
% 9.06/6.50 (~node4(s78)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9897, 22, 18950])).
% 9.06/6.50 tff(18952,plain,
% 9.06/6.50 (xuntil6(s78) | (~until5(s78))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9904, 36, 18951])).
% 9.06/6.50 tff(18953,plain,
% 9.06/6.50 (~until5(s78)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18952, 18949])).
% 9.06/6.50 tff(18954,plain,
% 9.06/6.50 (~always3(s77)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9326, 18950])).
% 9.06/6.50 tff(18955,plain,
% 9.06/6.50 (~always3(s76)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9338, 18954])).
% 9.06/6.50 tff(18956,plain,
% 9.06/6.50 (~always3(s75)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9350, 18955])).
% 9.06/6.50 tff(18957,plain,
% 9.06/6.50 (~always3(s74)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9362, 18956])).
% 9.06/6.50 tff(18958,plain,
% 9.06/6.50 (~always3(s73)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9374, 18957])).
% 9.06/6.50 tff(18959,plain,
% 9.06/6.50 (~always3(s72)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9386, 18958])).
% 9.06/6.50 tff(18960,plain,
% 9.06/6.50 (~always3(s71)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9398, 18959])).
% 9.06/6.50 tff(18961,plain,
% 9.06/6.50 (~always3(s70)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9410, 18960])).
% 9.06/6.50 tff(18962,plain,
% 9.06/6.50 (~always3(s69)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9422, 18961])).
% 9.06/6.50 tff(18963,plain,
% 9.06/6.50 (~always3(s68)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9434, 18962])).
% 9.06/6.50 tff(18964,plain,
% 9.06/6.50 (~always3(s67)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9446, 18963])).
% 9.06/6.50 tff(18965,plain,
% 9.06/6.50 (~always3(s66)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9458, 18964])).
% 9.06/6.50 tff(18966,plain,
% 9.06/6.50 (~always3(s65)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9470, 18965])).
% 9.06/6.50 tff(18967,plain,
% 9.06/6.50 (~always3(s64)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9482, 18966])).
% 9.06/6.50 tff(18968,plain,
% 9.06/6.50 (~always3(s63)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9494, 18967])).
% 9.06/6.50 tff(18969,plain,
% 9.06/6.50 (~always3(s62)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9506, 18968])).
% 9.06/6.50 tff(18970,plain,
% 9.06/6.50 (~always3(s61)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9518, 18969])).
% 9.06/6.50 tff(18971,plain,
% 9.06/6.50 (~always3(s60)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9530, 18970])).
% 9.06/6.50 tff(18972,plain,
% 9.06/6.50 (~always3(s59)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9542, 18971])).
% 9.06/6.50 tff(18973,plain,
% 9.06/6.50 (~always3(s58)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9558, 18972])).
% 9.06/6.50 tff(18974,plain,
% 9.06/6.50 (~always3(s57)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[5004, 18973])).
% 9.06/6.50 tff(18975,plain,
% 9.06/6.50 (~always3(s56)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4870, 18974])).
% 9.06/6.50 tff(18976,plain,
% 9.06/6.50 (~always3(s55)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4750, 18975])).
% 9.06/6.50 tff(18977,plain,
% 9.06/6.50 (~always3(s54)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4602, 18976])).
% 9.06/6.50 tff(18978,plain,
% 9.06/6.50 (~always3(s53)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4647, 18977])).
% 9.06/6.50 tff(18979,plain,
% 9.06/6.50 (~always3(s52)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4521, 18978])).
% 9.06/6.50 tff(18980,plain,
% 9.06/6.50 (~always3(s51)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4412, 18979])).
% 9.06/6.50 tff(18981,plain,
% 9.06/6.50 (~always3(s50)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4363, 18980])).
% 9.06/6.50 tff(18982,plain,
% 9.06/6.50 (~always3(s49)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3944, 18981])).
% 9.06/6.50 tff(18983,plain,
% 9.06/6.50 (~always3(s48)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3754, 18982])).
% 9.06/6.50 tff(18984,plain,
% 9.06/6.50 (~always3(s47)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3799, 18983])).
% 9.06/6.50 tff(18985,plain,
% 9.06/6.50 (~always3(s46)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3828, 18984])).
% 9.06/6.50 tff(18986,plain,
% 9.06/6.50 (~always3(s45)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3857, 18985])).
% 9.06/6.50 tff(18987,plain,
% 9.06/6.50 (~always3(s44)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3886, 18986])).
% 9.06/6.50 tff(18988,plain,
% 9.06/6.50 (~always3(s43)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3705, 18987])).
% 9.06/6.50 tff(18989,plain,
% 9.06/6.50 (~always3(s42)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3618, 18988])).
% 9.06/6.50 tff(18990,plain,
% 9.06/6.50 (~always3(s41)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3559, 18989])).
% 9.06/6.50 tff(18991,plain,
% 9.06/6.50 (~always3(s40)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3474, 18990])).
% 9.06/6.50 tff(18992,plain,
% 9.06/6.50 (~always3(s39)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3424, 18991])).
% 9.06/6.50 tff(18993,plain,
% 9.06/6.50 (~node4(s39)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3428, 22, 18992])).
% 9.06/6.50 tff(18994,plain,
% 9.06/6.50 (~always3(s38)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3233, 18992])).
% 9.06/6.50 tff(18995,plain,
% 9.06/6.50 (~node4(s38)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3219, 22, 18994])).
% 9.06/6.50 tff(18996,plain,
% 9.06/6.50 (~always3(s37)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[2932, 18994])).
% 9.06/6.50 tff(18997,plain,
% 9.06/6.50 (xuntil6(s37)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3202, 18996])).
% 9.06/6.50 tff(18998,plain,
% 9.06/6.50 (until5(s38)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3207, 18997])).
% 9.06/6.50 tff(18999,plain,
% 9.06/6.50 (xuntil6(s38) | node4(s38)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3214, 36, 18998])).
% 9.06/6.50 tff(19000,plain,
% 9.06/6.50 (xuntil6(s38)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[18999, 18995])).
% 9.06/6.50 tff(19001,plain,
% 9.06/6.50 (until5(s39)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3410, 19000])).
% 9.06/6.50 tff(19002,plain,
% 9.06/6.50 (xuntil6(s39)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3460, 36, 19001, 18993])).
% 9.06/6.50 tff(19003,plain,
% 9.06/6.50 (until5(s40)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3445, 19002])).
% 9.06/6.50 tff(19004,plain,
% 9.06/6.50 (~node4(s40)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3432, 22, 18991])).
% 9.06/6.50 tff(19005,plain,
% 9.06/6.50 (xuntil6(s40) | (~until5(s40))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3439, 36, 19004])).
% 9.06/6.50 tff(19006,plain,
% 9.06/6.50 (xuntil6(s40)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19005, 19003])).
% 9.06/6.50 tff(19007,plain,
% 9.06/6.50 (until5(s41)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3545, 19006])).
% 9.06/6.50 tff(19008,plain,
% 9.06/6.50 (~node4(s41)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3563, 22, 18990])).
% 9.06/6.50 tff(19009,plain,
% 9.06/6.50 (xuntil6(s41) | (~until5(s41))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3587, 36, 19008])).
% 9.06/6.50 tff(19010,plain,
% 9.06/6.50 (xuntil6(s41)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19009, 19007])).
% 9.06/6.50 tff(19011,plain,
% 9.06/6.50 (until5(s42)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3580, 19010])).
% 9.06/6.50 tff(19012,plain,
% 9.06/6.50 (~node4(s42)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3567, 22, 18989])).
% 9.06/6.50 tff(19013,plain,
% 9.06/6.50 (xuntil6(s42) | (~until5(s42))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3574, 36, 19012])).
% 9.06/6.50 tff(19014,plain,
% 9.06/6.50 (xuntil6(s42)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19013, 19011])).
% 9.06/6.50 tff(19015,plain,
% 9.06/6.50 (until5(s43)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3684, 19014])).
% 9.06/6.50 tff(19016,plain,
% 9.06/6.50 (~node4(s43)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3693, 22, 18988])).
% 9.06/6.50 tff(19017,plain,
% 9.06/6.50 (xuntil6(s43) | (~until5(s43))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3734, 36, 19016])).
% 9.06/6.50 tff(19018,plain,
% 9.06/6.50 (xuntil6(s43)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19017, 19015])).
% 9.06/6.50 tff(19019,plain,
% 9.06/6.50 (until5(s44)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3740, 19018])).
% 9.06/6.50 tff(19020,plain,
% 9.06/6.50 (~node4(s44)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3890, 22, 18987])).
% 9.06/6.50 tff(19021,plain,
% 9.06/6.50 (xuntil6(s44) | (~until5(s44))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3897, 36, 19020])).
% 9.06/6.50 tff(19022,plain,
% 9.06/6.50 (xuntil6(s44)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19021, 19019])).
% 9.06/6.50 tff(19023,plain,
% 9.06/6.50 (until5(s45)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3877, 19022])).
% 9.06/6.50 tff(19024,plain,
% 9.06/6.50 (~node4(s45)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3861, 22, 18986])).
% 9.06/6.50 tff(19025,plain,
% 9.06/6.50 (xuntil6(s45) | (~until5(s45))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3868, 36, 19024])).
% 9.06/6.50 tff(19026,plain,
% 9.06/6.50 (xuntil6(s45)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19025, 19023])).
% 9.06/6.50 tff(19027,plain,
% 9.06/6.50 (until5(s46)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3848, 19026])).
% 9.06/6.50 tff(19028,plain,
% 9.06/6.50 (~node4(s46)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3832, 22, 18985])).
% 9.06/6.50 tff(19029,plain,
% 9.06/6.50 (xuntil6(s46) | (~until5(s46))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3839, 36, 19028])).
% 9.06/6.50 tff(19030,plain,
% 9.06/6.50 (xuntil6(s46)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19029, 19027])).
% 9.06/6.50 tff(19031,plain,
% 9.06/6.50 (until5(s47)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3819, 19030])).
% 9.06/6.50 tff(19032,plain,
% 9.06/6.50 (~node4(s47)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3803, 22, 18984])).
% 9.06/6.50 tff(19033,plain,
% 9.06/6.50 (xuntil6(s47) | (~until5(s47))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3810, 36, 19032])).
% 9.06/6.50 tff(19034,plain,
% 9.06/6.50 (xuntil6(s47)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19033, 19031])).
% 9.06/6.50 tff(19035,plain,
% 9.06/6.50 (until5(s48)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3790, 19034])).
% 9.06/6.50 tff(19036,plain,
% 9.06/6.50 (~node4(s48)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3758, 22, 18983])).
% 9.06/6.50 tff(19037,plain,
% 9.06/6.50 (xuntil6(s48) | (~until5(s48))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3782, 36, 19036])).
% 9.06/6.50 tff(19038,plain,
% 9.06/6.50 (xuntil6(s48)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19037, 19035])).
% 9.06/6.50 tff(19039,plain,
% 9.06/6.50 (until5(s49)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3775, 19038])).
% 9.06/6.50 tff(19040,plain,
% 9.06/6.50 (~node4(s49)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3762, 22, 18982])).
% 9.06/6.50 tff(19041,plain,
% 9.06/6.50 (xuntil6(s49) | (~until5(s49))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[3769, 36, 19040])).
% 9.06/6.50 tff(19042,plain,
% 9.06/6.50 (xuntil6(s49)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19041, 19039])).
% 9.06/6.50 tff(19043,plain,
% 9.06/6.50 (until5(s50)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4342, 19042])).
% 9.06/6.50 tff(19044,plain,
% 9.06/6.50 (~node4(s50)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4351, 22, 18981])).
% 9.06/6.50 tff(19045,plain,
% 9.06/6.50 (xuntil6(s50) | (~until5(s50))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4392, 36, 19044])).
% 9.06/6.50 tff(19046,plain,
% 9.06/6.50 (xuntil6(s50)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19045, 19043])).
% 9.06/6.50 tff(19047,plain,
% 9.06/6.50 (until5(s51)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4398, 19046])).
% 9.06/6.50 tff(19048,plain,
% 9.06/6.50 (~node4(s51)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4416, 22, 18980])).
% 9.06/6.50 tff(19049,plain,
% 9.06/6.50 (xuntil6(s51) | (~until5(s51))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4440, 36, 19048])).
% 9.06/6.50 tff(19050,plain,
% 9.06/6.50 (xuntil6(s51)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19049, 19047])).
% 9.06/6.50 tff(19051,plain,
% 9.06/6.50 (until5(s52)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4433, 19050])).
% 9.06/6.50 tff(19052,plain,
% 9.06/6.50 (~node4(s52)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4420, 22, 18979])).
% 9.06/6.50 tff(19053,plain,
% 9.06/6.50 (xuntil6(s52) | (~until5(s52))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4427, 36, 19052])).
% 9.06/6.50 tff(19054,plain,
% 9.06/6.50 (xuntil6(s52)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19053, 19051])).
% 9.06/6.50 tff(19055,plain,
% 9.06/6.50 (until5(s53)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4587, 19054])).
% 9.06/6.50 tff(19056,plain,
% 9.06/6.50 (~node4(s53)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4651, 22, 18978])).
% 9.06/6.50 tff(19057,plain,
% 9.06/6.50 (xuntil6(s53) | (~until5(s53))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4658, 36, 19056])).
% 9.06/6.50 tff(19058,plain,
% 9.06/6.50 (xuntil6(s53)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19057, 19055])).
% 9.06/6.50 tff(19059,plain,
% 9.06/6.50 (until5(s54)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4638, 19058])).
% 9.06/6.50 tff(19060,plain,
% 9.06/6.50 (~node4(s54)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4606, 22, 18977])).
% 9.06/6.50 tff(19061,plain,
% 9.06/6.50 (xuntil6(s54) | (~until5(s54))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4630, 36, 19060])).
% 9.06/6.50 tff(19062,plain,
% 9.06/6.50 (xuntil6(s54)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19061, 19059])).
% 9.06/6.50 tff(19063,plain,
% 9.06/6.50 (until5(s55)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4623, 19062])).
% 9.06/6.50 tff(19064,plain,
% 9.06/6.50 (~node4(s55)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4610, 22, 18976])).
% 9.06/6.50 tff(19065,plain,
% 9.06/6.50 (xuntil6(s55) | (~until5(s55))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4617, 36, 19064])).
% 9.06/6.50 tff(19066,plain,
% 9.06/6.50 (xuntil6(s55)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19065, 19063])).
% 9.06/6.50 tff(19067,plain,
% 9.06/6.50 (until5(s56)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4856, 19066])).
% 9.06/6.50 tff(19068,plain,
% 9.06/6.50 (~node4(s56)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4874, 22, 18975])).
% 9.06/6.50 tff(19069,plain,
% 9.06/6.50 (xuntil6(s56) | (~until5(s56))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4898, 36, 19068])).
% 9.06/6.50 tff(19070,plain,
% 9.06/6.50 (xuntil6(s56)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19069, 19067])).
% 9.06/6.50 tff(19071,plain,
% 9.06/6.50 (until5(s57)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4891, 19070])).
% 9.06/6.50 tff(19072,plain,
% 9.06/6.50 (~node4(s57)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4878, 22, 18974])).
% 9.06/6.50 tff(19073,plain,
% 9.06/6.50 (xuntil6(s57) | (~until5(s57))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[4885, 36, 19072])).
% 9.06/6.50 tff(19074,plain,
% 9.06/6.50 (xuntil6(s57)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19073, 19071])).
% 9.06/6.50 tff(19075,plain,
% 9.06/6.50 (until5(s58)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[5070, 19074])).
% 9.06/6.50 tff(19076,plain,
% 9.06/6.50 (~node4(s58)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9562, 22, 18973])).
% 9.06/6.50 tff(19077,plain,
% 9.06/6.50 (xuntil6(s58) | (~until5(s58))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9569, 36, 19076])).
% 9.06/6.50 tff(19078,plain,
% 9.06/6.50 (xuntil6(s58)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19077, 19075])).
% 9.06/6.50 tff(19079,plain,
% 9.06/6.50 (until5(s59)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9575, 19078])).
% 9.06/6.50 tff(19080,plain,
% 9.06/6.50 (~node4(s59)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9546, 22, 18972])).
% 9.06/6.50 tff(19081,plain,
% 9.06/6.50 (xuntil6(s59) | (~until5(s59))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9582, 36, 19080])).
% 9.06/6.50 tff(19082,plain,
% 9.06/6.50 (xuntil6(s59)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19081, 19079])).
% 9.06/6.50 tff(19083,plain,
% 9.06/6.50 (until5(s60)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9587, 19082])).
% 9.06/6.50 tff(19084,plain,
% 9.06/6.50 (~node4(s60)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9591, 22, 18971])).
% 9.06/6.50 tff(19085,plain,
% 9.06/6.50 (xuntil6(s60) | (~until5(s60))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9598, 36, 19084])).
% 9.06/6.50 tff(19086,plain,
% 9.06/6.50 (xuntil6(s60)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19085, 19083])).
% 9.06/6.50 tff(19087,plain,
% 9.06/6.50 (until5(s61)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9604, 19086])).
% 9.06/6.50 tff(19088,plain,
% 9.06/6.50 (~node4(s61)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9608, 22, 18970])).
% 9.06/6.50 tff(19089,plain,
% 9.06/6.50 (xuntil6(s61) | (~until5(s61))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9615, 36, 19088])).
% 9.06/6.50 tff(19090,plain,
% 9.06/6.50 (xuntil6(s61)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19089, 19087])).
% 9.06/6.50 tff(19091,plain,
% 9.06/6.50 (until5(s62)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9621, 19090])).
% 9.06/6.50 tff(19092,plain,
% 9.06/6.50 (~node4(s62)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9625, 22, 18969])).
% 9.06/6.50 tff(19093,plain,
% 9.06/6.50 (xuntil6(s62) | (~until5(s62))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9632, 36, 19092])).
% 9.06/6.50 tff(19094,plain,
% 9.06/6.50 (xuntil6(s62)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19093, 19091])).
% 9.06/6.50 tff(19095,plain,
% 9.06/6.50 (until5(s63)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9638, 19094])).
% 9.06/6.50 tff(19096,plain,
% 9.06/6.50 (~node4(s63)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9642, 22, 18968])).
% 9.06/6.50 tff(19097,plain,
% 9.06/6.50 (xuntil6(s63) | (~until5(s63))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9649, 36, 19096])).
% 9.06/6.50 tff(19098,plain,
% 9.06/6.50 (xuntil6(s63)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19097, 19095])).
% 9.06/6.50 tff(19099,plain,
% 9.06/6.50 (until5(s64)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9655, 19098])).
% 9.06/6.50 tff(19100,plain,
% 9.06/6.50 (~node4(s64)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9659, 22, 18967])).
% 9.06/6.50 tff(19101,plain,
% 9.06/6.50 (xuntil6(s64) | (~until5(s64))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9666, 36, 19100])).
% 9.06/6.50 tff(19102,plain,
% 9.06/6.50 (xuntil6(s64)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19101, 19099])).
% 9.06/6.50 tff(19103,plain,
% 9.06/6.50 (until5(s65)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9672, 19102])).
% 9.06/6.50 tff(19104,plain,
% 9.06/6.50 (~node4(s65)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9676, 22, 18966])).
% 9.06/6.50 tff(19105,plain,
% 9.06/6.50 (xuntil6(s65) | (~until5(s65))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9683, 36, 19104])).
% 9.06/6.50 tff(19106,plain,
% 9.06/6.50 (xuntil6(s65)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19105, 19103])).
% 9.06/6.50 tff(19107,plain,
% 9.06/6.50 (until5(s66)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9689, 19106])).
% 9.06/6.50 tff(19108,plain,
% 9.06/6.50 (~node4(s66)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9693, 22, 18965])).
% 9.06/6.50 tff(19109,plain,
% 9.06/6.50 (xuntil6(s66) | (~until5(s66))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9700, 36, 19108])).
% 9.06/6.50 tff(19110,plain,
% 9.06/6.50 (xuntil6(s66)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19109, 19107])).
% 9.06/6.50 tff(19111,plain,
% 9.06/6.50 (until5(s67)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9706, 19110])).
% 9.06/6.50 tff(19112,plain,
% 9.06/6.50 (~node4(s67)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9710, 22, 18964])).
% 9.06/6.50 tff(19113,plain,
% 9.06/6.50 (xuntil6(s67) | (~until5(s67))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9717, 36, 19112])).
% 9.06/6.50 tff(19114,plain,
% 9.06/6.50 (xuntil6(s67)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19113, 19111])).
% 9.06/6.50 tff(19115,plain,
% 9.06/6.50 (until5(s68)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9723, 19114])).
% 9.06/6.50 tff(19116,plain,
% 9.06/6.50 (~node4(s68)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9727, 22, 18963])).
% 9.06/6.50 tff(19117,plain,
% 9.06/6.50 (xuntil6(s68) | (~until5(s68))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9734, 36, 19116])).
% 9.06/6.50 tff(19118,plain,
% 9.06/6.50 (xuntil6(s68)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19117, 19115])).
% 9.06/6.50 tff(19119,plain,
% 9.06/6.50 (until5(s69)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9740, 19118])).
% 9.06/6.50 tff(19120,plain,
% 9.06/6.50 (~node4(s69)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9744, 22, 18962])).
% 9.06/6.50 tff(19121,plain,
% 9.06/6.50 (xuntil6(s69) | (~until5(s69))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9751, 36, 19120])).
% 9.06/6.50 tff(19122,plain,
% 9.06/6.50 (xuntil6(s69)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19121, 19119])).
% 9.06/6.50 tff(19123,plain,
% 9.06/6.50 (until5(s70)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9757, 19122])).
% 9.06/6.50 tff(19124,plain,
% 9.06/6.50 (~node4(s70)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9761, 22, 18961])).
% 9.06/6.50 tff(19125,plain,
% 9.06/6.50 (xuntil6(s70) | (~until5(s70))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9768, 36, 19124])).
% 9.06/6.50 tff(19126,plain,
% 9.06/6.50 (xuntil6(s70)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19125, 19123])).
% 9.06/6.50 tff(19127,plain,
% 9.06/6.50 (until5(s71)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9774, 19126])).
% 9.06/6.50 tff(19128,plain,
% 9.06/6.50 (~node4(s71)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9778, 22, 18960])).
% 9.06/6.50 tff(19129,plain,
% 9.06/6.50 (xuntil6(s71) | (~until5(s71))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9785, 36, 19128])).
% 9.06/6.50 tff(19130,plain,
% 9.06/6.50 (xuntil6(s71)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19129, 19127])).
% 9.06/6.50 tff(19131,plain,
% 9.06/6.50 (until5(s72)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9791, 19130])).
% 9.06/6.50 tff(19132,plain,
% 9.06/6.50 (~node4(s72)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9795, 22, 18959])).
% 9.06/6.50 tff(19133,plain,
% 9.06/6.50 (xuntil6(s72) | (~until5(s72))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9802, 36, 19132])).
% 9.06/6.50 tff(19134,plain,
% 9.06/6.50 (xuntil6(s72)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19133, 19131])).
% 9.06/6.50 tff(19135,plain,
% 9.06/6.50 (until5(s73)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9808, 19134])).
% 9.06/6.50 tff(19136,plain,
% 9.06/6.50 (~node4(s73)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9812, 22, 18958])).
% 9.06/6.50 tff(19137,plain,
% 9.06/6.50 (xuntil6(s73) | (~until5(s73))),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9819, 36, 19136])).
% 9.06/6.50 tff(19138,plain,
% 9.06/6.50 (xuntil6(s73)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[19137, 19135])).
% 9.06/6.50 tff(19139,plain,
% 9.06/6.50 (until5(s74)),
% 9.06/6.50 inference(unit_resolution,[status(thm)],[9825, 19138])).
% 9.06/6.50 tff(19140,plain,
% 9.06/6.51 (~node4(s74)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9829, 22, 18957])).
% 9.06/6.51 tff(19141,plain,
% 9.06/6.51 (xuntil6(s74) | (~until5(s74))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9836, 36, 19140])).
% 9.06/6.51 tff(19142,plain,
% 9.06/6.51 (xuntil6(s74)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19141, 19139])).
% 9.06/6.51 tff(19143,plain,
% 9.06/6.51 (until5(s75)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9842, 19142])).
% 9.06/6.51 tff(19144,plain,
% 9.06/6.51 (~node4(s75)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9846, 22, 18956])).
% 9.06/6.51 tff(19145,plain,
% 9.06/6.51 (xuntil6(s75) | (~until5(s75))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9853, 36, 19144])).
% 9.06/6.51 tff(19146,plain,
% 9.06/6.51 (xuntil6(s75)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19145, 19143])).
% 9.06/6.51 tff(19147,plain,
% 9.06/6.51 (until5(s76)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9859, 19146])).
% 9.06/6.51 tff(19148,plain,
% 9.06/6.51 (~node4(s76)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9863, 22, 18955])).
% 9.06/6.51 tff(19149,plain,
% 9.06/6.51 (xuntil6(s76) | (~until5(s76))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9870, 36, 19148])).
% 9.06/6.51 tff(19150,plain,
% 9.06/6.51 (xuntil6(s76)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19149, 19147])).
% 9.06/6.51 tff(19151,plain,
% 9.06/6.51 (until5(s77)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9876, 19150])).
% 9.06/6.51 tff(19152,plain,
% 9.06/6.51 (~node4(s77)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9880, 22, 18954])).
% 9.06/6.51 tff(19153,plain,
% 9.06/6.51 (xuntil6(s77) | (~until5(s77))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9887, 36, 19152])).
% 9.06/6.51 tff(19154,plain,
% 9.06/6.51 (xuntil6(s77)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19153, 19151])).
% 9.06/6.51 tff(19155,plain,
% 9.06/6.51 ($false),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9893, 19154, 18953])).
% 9.06/6.51 tff(19156,plain,(always3(s117) | xuntil6(s117)), inference(lemma,lemma(discharge,[]))).
% 9.06/6.51 tff(19157,plain,
% 9.06/6.51 (always3(s117)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19156, 18755])).
% 9.06/6.51 tff(19158,plain,
% 9.06/6.51 (always3(s118)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[8846, 19157])).
% 9.06/6.51 tff(19159,plain,
% 9.06/6.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s118)) | (~m_main_v_state(s118, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s118)) | (~m_main_v_state(s118, c_busy)))),
% 9.06/6.51 inference(rewrite,[status(thm)],[])).
% 9.06/6.51 tff(19160,plain,
% 9.06/6.51 (((~m_main_v_state(s118, c_busy)) | (~always3(s118))) <=> ((~always3(s118)) | (~m_main_v_state(s118, c_busy)))),
% 9.06/6.51 inference(rewrite,[status(thm)],[])).
% 9.06/6.51 tff(19161,plain,
% 9.06/6.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s118, c_busy)) | (~always3(s118)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s118)) | (~m_main_v_state(s118, c_busy))))),
% 9.06/6.51 inference(monotonicity,[status(thm)],[19160])).
% 9.06/6.51 tff(19162,plain,
% 9.06/6.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s118, c_busy)) | (~always3(s118)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s118)) | (~m_main_v_state(s118, c_busy)))),
% 9.06/6.51 inference(transitivity,[status(thm)],[19161, 19159])).
% 9.06/6.51 tff(19163,plain,
% 9.06/6.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s118, c_busy)) | (~always3(s118)))),
% 9.06/6.51 inference(quant_inst,[status(thm)],[])).
% 9.06/6.51 tff(19164,plain,
% 9.06/6.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s118)) | (~m_main_v_state(s118, c_busy))),
% 9.06/6.51 inference(modus_ponens,[status(thm)],[19163, 19162])).
% 9.06/6.51 tff(19165,plain,
% 9.06/6.51 (~m_main_v_state(s118, c_busy)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19164, 170, 19158])).
% 9.06/6.51 tff(19166,plain,
% 9.06/6.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s117)) | (~m_main_v_state(s117, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s117)) | (~m_main_v_state(s117, c_busy)))),
% 9.06/6.51 inference(rewrite,[status(thm)],[])).
% 9.06/6.51 tff(19167,plain,
% 9.06/6.51 (((~m_main_v_state(s117, c_busy)) | (~always3(s117))) <=> ((~always3(s117)) | (~m_main_v_state(s117, c_busy)))),
% 9.06/6.51 inference(rewrite,[status(thm)],[])).
% 9.06/6.51 tff(19168,plain,
% 9.06/6.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s117, c_busy)) | (~always3(s117)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s117)) | (~m_main_v_state(s117, c_busy))))),
% 9.06/6.51 inference(monotonicity,[status(thm)],[19167])).
% 9.06/6.51 tff(19169,plain,
% 9.06/6.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s117, c_busy)) | (~always3(s117)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s117)) | (~m_main_v_state(s117, c_busy)))),
% 9.06/6.51 inference(transitivity,[status(thm)],[19168, 19166])).
% 9.06/6.51 tff(19170,plain,
% 9.06/6.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s117, c_busy)) | (~always3(s117)))),
% 9.06/6.51 inference(quant_inst,[status(thm)],[])).
% 9.06/6.51 tff(19171,plain,
% 9.06/6.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s117)) | (~m_main_v_state(s117, c_busy))),
% 9.06/6.51 inference(modus_ponens,[status(thm)],[19170, 19169])).
% 9.06/6.51 tff(19172,plain,
% 9.06/6.51 (~m_main_v_state(s117, c_busy)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19171, 170, 19157])).
% 9.06/6.51 tff(19173,plain,
% 9.06/6.51 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s117, c_busy) | m_main_v_state(s117, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s117, c_busy) | m_main_v_state(s117, c_ready))),
% 9.06/6.51 inference(rewrite,[status(thm)],[])).
% 9.06/6.51 tff(19174,plain,
% 9.06/6.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s117, c_busy) | m_main_v_state(s117, c_ready))),
% 9.06/6.51 inference(quant_inst,[status(thm)],[])).
% 9.06/6.51 tff(19175,plain,
% 9.06/6.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s117, c_busy) | m_main_v_state(s117, c_ready)),
% 9.06/6.51 inference(modus_ponens,[status(thm)],[19174, 19173])).
% 9.06/6.51 tff(19176,plain,
% 9.06/6.51 (m_main_v_state(s117, c_ready)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19175, 213, 19172])).
% 9.06/6.51 tff(19177,assumption,(~m_main_v_state(s117, c_busy)), introduced(assumption)).
% 9.06/6.51 tff(19178,assumption,(node4(s116)), introduced(assumption)).
% 9.06/6.51 tff(19179,plain,
% 9.06/6.51 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s116) | (~node4(s116)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s116) | (~node4(s116)))),
% 9.06/6.51 inference(rewrite,[status(thm)],[])).
% 9.06/6.51 tff(19180,plain,
% 9.06/6.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s116) | (~node4(s116)))),
% 9.06/6.51 inference(quant_inst,[status(thm)],[])).
% 9.06/6.51 tff(19181,plain,
% 9.06/6.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s116) | (~node4(s116))),
% 9.06/6.51 inference(modus_ponens,[status(thm)],[19180, 19179])).
% 9.06/6.51 tff(19182,plain,
% 9.06/6.51 (m_main_v_request(s116)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19181, 154, 19178])).
% 9.06/6.51 tff(19183,plain,
% 9.06/6.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s116, s117)) | node2(s116, s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s116, s117)) | node2(s116, s117))),
% 9.06/6.51 inference(rewrite,[status(thm)],[])).
% 9.06/6.51 tff(19184,plain,
% 9.06/6.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s116, s117)) | node2(s116, s117))),
% 9.06/6.51 inference(quant_inst,[status(thm)],[])).
% 9.06/6.51 tff(19185,plain,
% 9.06/6.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s116, s117)) | node2(s116, s117)),
% 9.06/6.51 inference(modus_ponens,[status(thm)],[19184, 19183])).
% 9.06/6.51 tff(19186,plain,
% 9.06/6.51 (node2(s116, s117)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19185, 7, 8854])).
% 9.06/6.51 tff(19187,plain,
% 9.06/6.51 (((~![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(s116, c_ready)) | (~node2(s116, s117)) | m_main_v_state(s117, c_busy) | (~m_main_v_request(s116)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s116, c_ready)) | (~node2(s116, s117)) | m_main_v_state(s117, c_busy) | (~m_main_v_request(s116)))),
% 9.06/6.51 inference(rewrite,[status(thm)],[])).
% 9.06/6.51 tff(19188,plain,
% 9.06/6.51 ((~![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(s116, c_ready)) | (~node2(s116, s117)) | m_main_v_state(s117, c_busy) | (~m_main_v_request(s116)))),
% 9.06/6.51 inference(quant_inst,[status(thm)],[])).
% 9.06/6.51 tff(19189,plain,
% 9.06/6.51 ((~![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(s116, c_ready)) | (~node2(s116, s117)) | m_main_v_state(s117, c_busy) | (~m_main_v_request(s116))),
% 9.06/6.51 inference(modus_ponens,[status(thm)],[19188, 19187])).
% 9.06/6.51 tff(19190,plain,
% 9.06/6.51 ((~m_main_v_state(s116, c_ready)) | m_main_v_state(s117, c_busy) | (~m_main_v_request(s116))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19189, 191, 19186])).
% 9.06/6.51 tff(19191,plain,
% 9.06/6.51 (~m_main_v_state(s116, c_ready)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19190, 19182, 19177])).
% 9.06/6.51 tff(19192,plain,
% 9.06/6.51 (always3(s116)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10543, 22, 19178])).
% 9.06/6.51 tff(19193,plain,
% 9.06/6.51 (~m_main_v_state(s116, c_busy)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[18698, 170, 19192])).
% 9.06/6.51 tff(19194,plain,
% 9.06/6.51 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s116, c_busy) | m_main_v_state(s116, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s116, c_busy) | m_main_v_state(s116, c_ready))),
% 9.06/6.51 inference(rewrite,[status(thm)],[])).
% 9.06/6.51 tff(19195,plain,
% 9.06/6.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s116, c_busy) | m_main_v_state(s116, c_ready))),
% 9.06/6.51 inference(quant_inst,[status(thm)],[])).
% 9.06/6.51 tff(19196,plain,
% 9.06/6.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s116, c_busy) | m_main_v_state(s116, c_ready)),
% 9.06/6.51 inference(modus_ponens,[status(thm)],[19195, 19194])).
% 9.06/6.51 tff(19197,plain,
% 9.06/6.51 ($false),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19196, 213, 19193, 19191])).
% 9.06/6.51 tff(19198,plain,((~node4(s116)) | m_main_v_state(s117, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.06/6.51 tff(19199,plain,
% 9.06/6.51 (~node4(s116)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19198, 19172])).
% 9.06/6.51 tff(19200,assumption,(until5(s116)), introduced(assumption)).
% 9.06/6.51 tff(19201,plain,
% 9.06/6.51 (xuntil6(s116) | node4(s116)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10550, 36, 19200])).
% 9.06/6.51 tff(19202,plain,
% 9.06/6.51 (xuntil6(s116)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19201, 19199])).
% 9.06/6.51 tff(19203,plain,
% 9.06/6.51 (until5(s117)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10556, 19202])).
% 9.06/6.51 tff(19204,plain,
% 9.06/6.51 (node4(s117)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[18760, 19203])).
% 9.06/6.51 tff(19205,plain,
% 9.06/6.51 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s117) | (~node4(s117)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s117) | (~node4(s117)))),
% 9.06/6.51 inference(rewrite,[status(thm)],[])).
% 9.06/6.51 tff(19206,plain,
% 9.06/6.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s117) | (~node4(s117)))),
% 9.06/6.51 inference(quant_inst,[status(thm)],[])).
% 9.06/6.51 tff(19207,plain,
% 9.06/6.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s117) | (~node4(s117))),
% 9.06/6.51 inference(modus_ponens,[status(thm)],[19206, 19205])).
% 9.06/6.51 tff(19208,plain,
% 9.06/6.51 (m_main_v_request(s117)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19207, 154, 19204])).
% 9.06/6.51 tff(19209,plain,
% 9.06/6.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s117, s118)) | node2(s117, s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s117, s118)) | node2(s117, s118))),
% 9.06/6.51 inference(rewrite,[status(thm)],[])).
% 9.06/6.51 tff(19210,plain,
% 9.06/6.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s117, s118)) | node2(s117, s118))),
% 9.06/6.51 inference(quant_inst,[status(thm)],[])).
% 9.06/6.51 tff(19211,plain,
% 9.06/6.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s117, s118)) | node2(s117, s118)),
% 9.06/6.51 inference(modus_ponens,[status(thm)],[19210, 19209])).
% 9.06/6.51 tff(19212,plain,
% 9.06/6.51 (node2(s117, s118)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19211, 7, 8842])).
% 9.06/6.51 tff(19213,plain,
% 9.06/6.51 (((~![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(s117, c_ready)) | (~node2(s117, s118)) | m_main_v_state(s118, c_busy) | (~m_main_v_request(s117)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s117, c_ready)) | (~node2(s117, s118)) | m_main_v_state(s118, c_busy) | (~m_main_v_request(s117)))),
% 9.06/6.51 inference(rewrite,[status(thm)],[])).
% 9.06/6.51 tff(19214,plain,
% 9.06/6.51 ((~![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(s117, c_ready)) | (~node2(s117, s118)) | m_main_v_state(s118, c_busy) | (~m_main_v_request(s117)))),
% 9.06/6.51 inference(quant_inst,[status(thm)],[])).
% 9.06/6.51 tff(19215,plain,
% 9.06/6.51 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s117, c_ready)) | (~node2(s117, s118)) | m_main_v_state(s118, c_busy) | (~m_main_v_request(s117))),
% 9.06/6.51 inference(modus_ponens,[status(thm)],[19214, 19213])).
% 9.06/6.51 tff(19216,plain,
% 9.06/6.51 ((~m_main_v_state(s117, c_ready)) | m_main_v_state(s118, c_busy) | (~m_main_v_request(s117))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19215, 191, 19212])).
% 9.06/6.51 tff(19217,plain,
% 9.06/6.51 ($false),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19216, 19208, 19176, 19165])).
% 9.06/6.51 tff(19218,plain,(xuntil6(s117) | (~until5(s116))), inference(lemma,lemma(discharge,[]))).
% 9.06/6.51 tff(19219,plain,
% 9.06/6.51 (xuntil6(s117)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19218, 18754])).
% 9.06/6.51 tff(19220,plain,
% 9.06/6.51 (until5(s118)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10573, 19219])).
% 9.06/6.51 tff(19221,assumption,(~xuntil6(s120)), introduced(assumption)).
% 9.06/6.51 tff(19222,assumption,(~always3(s120)), introduced(assumption)).
% 9.06/6.51 tff(19223,plain,
% 9.06/6.51 (~always3(s119)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[8822, 19222])).
% 9.06/6.51 tff(19224,plain,
% 9.06/6.51 (~node4(s119)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10594, 22, 19223])).
% 9.06/6.51 tff(19225,plain,
% 9.06/6.51 (~node4(s120)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10611, 22, 19222])).
% 9.06/6.51 tff(19226,plain,
% 9.06/6.51 (node4(s120) | (~until5(s120))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10618, 36, 19221])).
% 9.06/6.51 tff(19227,plain,
% 9.06/6.51 (~until5(s120)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19226, 19225])).
% 9.06/6.51 tff(19228,plain,
% 9.06/6.51 (~xuntil6(s119)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10607, 19227])).
% 9.06/6.51 tff(19229,plain,
% 9.06/6.51 (~until5(s119)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10601, 36, 19228, 19224])).
% 9.06/6.51 tff(19230,plain,
% 9.06/6.51 (~xuntil6(s118)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10590, 19229])).
% 9.06/6.51 tff(19231,plain,
% 9.06/6.51 (~always3(s118)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[8834, 19223])).
% 9.06/6.51 tff(19232,plain,
% 9.06/6.51 (~node4(s118)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10577, 22, 19231])).
% 9.06/6.51 tff(19233,plain,
% 9.06/6.51 (xuntil6(s118) | (~until5(s118))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10584, 36, 19232])).
% 9.06/6.51 tff(19234,plain,
% 9.06/6.51 (~until5(s118)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19233, 19230])).
% 9.06/6.51 tff(19235,plain,
% 9.06/6.51 (~xuntil6(s117)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10573, 19234])).
% 9.06/6.51 tff(19236,plain,
% 9.06/6.51 (~always3(s117)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[8846, 19231])).
% 9.06/6.51 tff(19237,plain,
% 9.06/6.51 (~node4(s117)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10560, 22, 19236])).
% 9.06/6.51 tff(19238,plain,
% 9.06/6.51 (xuntil6(s117) | (~until5(s117))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10567, 36, 19237])).
% 9.06/6.51 tff(19239,plain,
% 9.06/6.51 (~until5(s117)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19238, 19235])).
% 9.06/6.51 tff(19240,plain,
% 9.06/6.51 (~xuntil6(s116)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10556, 19239])).
% 9.06/6.51 tff(19241,plain,
% 9.06/6.51 (~always3(s116)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[8858, 19236])).
% 9.06/6.51 tff(19242,plain,
% 9.06/6.51 (~node4(s116)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10543, 22, 19241])).
% 9.06/6.51 tff(19243,plain,
% 9.06/6.51 (xuntil6(s116) | (~until5(s116))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10550, 36, 19242])).
% 9.06/6.51 tff(19244,plain,
% 9.06/6.51 (~until5(s116)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19243, 19240])).
% 9.06/6.51 tff(19245,plain,
% 9.06/6.51 (~xuntil6(s115)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10539, 19244])).
% 9.06/6.51 tff(19246,plain,
% 9.06/6.51 (~always3(s115)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[8870, 19241])).
% 9.06/6.51 tff(19247,plain,
% 9.06/6.51 (~node4(s115)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10526, 22, 19246])).
% 9.06/6.51 tff(19248,plain,
% 9.06/6.51 (xuntil6(s115) | (~until5(s115))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10533, 36, 19247])).
% 9.06/6.51 tff(19249,plain,
% 9.06/6.51 (~until5(s115)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19248, 19245])).
% 9.06/6.51 tff(19250,plain,
% 9.06/6.51 (~xuntil6(s114)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10522, 19249])).
% 9.06/6.51 tff(19251,plain,
% 9.06/6.51 (~always3(s114)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[8882, 19246])).
% 9.06/6.51 tff(19252,plain,
% 9.06/6.51 (~node4(s114)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10509, 22, 19251])).
% 9.06/6.51 tff(19253,plain,
% 9.06/6.51 (xuntil6(s114) | (~until5(s114))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10516, 36, 19252])).
% 9.06/6.51 tff(19254,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[19253, 19250])).
% 9.06/6.51 tff(19255,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10505, 19254])).
% 9.06/6.51 tff(19256,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[8894, 19251])).
% 9.06/6.51 tff(19257,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10492, 22, 19256])).
% 9.06/6.51 tff(19258,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10499, 36, 19257])).
% 9.06/6.51 tff(19259,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[19258, 19255])).
% 9.06/6.51 tff(19260,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10488, 19259])).
% 9.06/6.51 tff(19261,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[8906, 19256])).
% 9.06/6.51 tff(19262,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10475, 22, 19261])).
% 9.06/6.51 tff(19263,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10482, 36, 19262])).
% 9.06/6.51 tff(19264,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[19263, 19260])).
% 9.06/6.51 tff(19265,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10471, 19264])).
% 9.06/6.51 tff(19266,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[8918, 19261])).
% 9.06/6.51 tff(19267,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10458, 22, 19266])).
% 9.06/6.51 tff(19268,plain,
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% 9.06/6.51 tff(19269,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[19268, 19265])).
% 9.06/6.51 tff(19270,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10454, 19269])).
% 9.06/6.51 tff(19271,plain,
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% 9.06/6.51 tff(19272,plain,
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% 9.06/6.51 tff(19273,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10448, 36, 19272])).
% 9.06/6.51 tff(19274,plain,
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% 9.06/6.51 tff(19275,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10437, 19274])).
% 9.06/6.51 tff(19276,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[8942, 19271])).
% 9.06/6.51 tff(19277,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10424, 22, 19276])).
% 9.06/6.51 tff(19278,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10431, 36, 19277])).
% 9.06/6.51 tff(19279,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[19278, 19275])).
% 9.06/6.51 tff(19280,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10420, 19279])).
% 9.06/6.51 tff(19281,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[8954, 19276])).
% 9.06/6.51 tff(19282,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10407, 22, 19281])).
% 9.06/6.51 tff(19283,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10414, 36, 19282])).
% 9.06/6.51 tff(19284,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[19283, 19280])).
% 9.06/6.51 tff(19285,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10403, 19284])).
% 9.06/6.51 tff(19286,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[8966, 19281])).
% 9.06/6.51 tff(19287,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10390, 22, 19286])).
% 9.06/6.51 tff(19288,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10397, 36, 19287])).
% 9.06/6.51 tff(19289,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[19288, 19285])).
% 9.06/6.51 tff(19290,plain,
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% 9.06/6.51 tff(19291,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[8978, 19286])).
% 9.06/6.51 tff(19292,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10373, 22, 19291])).
% 9.06/6.51 tff(19293,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10380, 36, 19292])).
% 9.06/6.51 tff(19294,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[19293, 19290])).
% 9.06/6.51 tff(19295,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10369, 19294])).
% 9.06/6.51 tff(19296,plain,
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% 9.06/6.51 tff(19297,plain,
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% 9.06/6.51 tff(19298,plain,
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% 9.06/6.51 tff(19299,plain,
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% 9.06/6.51 tff(19300,plain,
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% 9.06/6.51 tff(19301,plain,
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% 9.06/6.51 tff(19302,plain,
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% 9.06/6.51 tff(19303,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10346, 36, 19302])).
% 9.06/6.51 tff(19304,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[19303, 19300])).
% 9.06/6.51 tff(19305,plain,
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% 9.06/6.51 tff(19306,plain,
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% 9.06/6.51 tff(19307,plain,
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% 9.06/6.51 tff(19308,plain,
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% 9.06/6.51 tff(19309,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[19308, 19305])).
% 9.06/6.51 tff(19310,plain,
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% 9.06/6.51 tff(19311,plain,
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% 9.06/6.51 tff(19312,plain,
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% 9.06/6.51 tff(19313,plain,
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% 9.06/6.51 tff(19314,plain,
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% 9.06/6.51 tff(19315,plain,
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% 9.06/6.51 tff(19316,plain,
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% 9.06/6.51 tff(19317,plain,
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% 9.06/6.51 tff(19318,plain,
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% 9.06/6.51 tff(19319,plain,
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% 9.06/6.51 tff(19320,plain,
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% 9.06/6.51 tff(19321,plain,
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% 9.06/6.51 tff(19322,plain,
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% 9.06/6.51 tff(19323,plain,
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% 9.06/6.51 tff(19324,plain,
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% 9.06/6.51 tff(19325,plain,
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% 9.06/6.51 tff(19326,plain,
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% 9.06/6.51 tff(19327,plain,
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% 9.06/6.51 tff(19328,plain,
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% 9.06/6.51 tff(19329,plain,
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% 9.06/6.51 tff(19330,plain,
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% 9.06/6.51 tff(19331,plain,
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% 9.06/6.51 tff(19332,plain,
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% 9.06/6.51 tff(19333,plain,
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% 9.06/6.51 tff(19334,plain,
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% 9.06/6.51 tff(19335,plain,
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% 9.06/6.51 tff(19336,plain,
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% 9.06/6.51 tff(19337,plain,
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% 9.06/6.51 tff(19338,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10227, 36, 19337])).
% 9.06/6.51 tff(19339,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[19338, 19335])).
% 9.06/6.51 tff(19340,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10216, 19339])).
% 9.06/6.51 tff(19341,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[9098, 19336])).
% 9.06/6.51 tff(19342,plain,
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% 9.06/6.51 tff(19343,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10210, 36, 19342])).
% 9.06/6.51 tff(19344,plain,
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% 9.06/6.51 tff(19345,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10199, 19344])).
% 9.06/6.51 tff(19346,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[9110, 19341])).
% 9.06/6.51 tff(19347,plain,
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% 9.06/6.51 tff(19348,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10193, 36, 19347])).
% 9.06/6.51 tff(19349,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[19348, 19345])).
% 9.06/6.51 tff(19350,plain,
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% 9.06/6.51 tff(19351,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[9122, 19346])).
% 9.06/6.51 tff(19352,plain,
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% 9.06/6.51 tff(19353,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10176, 36, 19352])).
% 9.06/6.51 tff(19354,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[19353, 19350])).
% 9.06/6.51 tff(19355,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10165, 19354])).
% 9.06/6.51 tff(19356,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[9134, 19351])).
% 9.06/6.51 tff(19357,plain,
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% 9.06/6.51 tff(19358,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10159, 36, 19357])).
% 9.06/6.51 tff(19359,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[19358, 19355])).
% 9.06/6.51 tff(19360,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10148, 19359])).
% 9.06/6.51 tff(19361,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[9146, 19356])).
% 9.06/6.51 tff(19362,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10135, 22, 19361])).
% 9.06/6.51 tff(19363,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10142, 36, 19362])).
% 9.06/6.51 tff(19364,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[19363, 19360])).
% 9.06/6.51 tff(19365,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10131, 19364])).
% 9.06/6.51 tff(19366,plain,
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% 9.06/6.51 tff(19367,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10118, 22, 19366])).
% 9.06/6.51 tff(19368,plain,
% 9.06/6.51 (xuntil6(s91) | (~until5(s91))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10125, 36, 19367])).
% 9.06/6.51 tff(19369,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[19368, 19365])).
% 9.06/6.51 tff(19370,plain,
% 9.06/6.51 (~xuntil6(s90)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10114, 19369])).
% 9.06/6.51 tff(19371,plain,
% 9.06/6.51 (~always3(s90)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9170, 19366])).
% 9.06/6.51 tff(19372,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[10101, 22, 19371])).
% 9.06/6.51 tff(19373,plain,
% 9.06/6.51 (xuntil6(s90) | (~until5(s90))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10108, 36, 19372])).
% 9.06/6.51 tff(19374,plain,
% 9.06/6.51 (~until5(s90)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19373, 19370])).
% 9.06/6.51 tff(19375,plain,
% 9.06/6.51 (~xuntil6(s89)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10097, 19374])).
% 9.06/6.51 tff(19376,plain,
% 9.06/6.51 (~always3(s89)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9182, 19371])).
% 9.06/6.51 tff(19377,plain,
% 9.06/6.51 (~node4(s89)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10084, 22, 19376])).
% 9.06/6.51 tff(19378,plain,
% 9.06/6.51 (xuntil6(s89) | (~until5(s89))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10091, 36, 19377])).
% 9.06/6.51 tff(19379,plain,
% 9.06/6.51 (~until5(s89)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19378, 19375])).
% 9.06/6.51 tff(19380,plain,
% 9.06/6.51 (~xuntil6(s88)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10080, 19379])).
% 9.06/6.51 tff(19381,plain,
% 9.06/6.51 (~always3(s88)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9194, 19376])).
% 9.06/6.51 tff(19382,plain,
% 9.06/6.51 (~node4(s88)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10067, 22, 19381])).
% 9.06/6.51 tff(19383,plain,
% 9.06/6.51 (xuntil6(s88) | (~until5(s88))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10074, 36, 19382])).
% 9.06/6.51 tff(19384,plain,
% 9.06/6.51 (~until5(s88)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19383, 19380])).
% 9.06/6.51 tff(19385,plain,
% 9.06/6.51 (~xuntil6(s87)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10063, 19384])).
% 9.06/6.51 tff(19386,plain,
% 9.06/6.51 (~always3(s87)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9206, 19381])).
% 9.06/6.51 tff(19387,plain,
% 9.06/6.51 (~node4(s87)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10050, 22, 19386])).
% 9.06/6.51 tff(19388,plain,
% 9.06/6.51 (xuntil6(s87) | (~until5(s87))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10057, 36, 19387])).
% 9.06/6.51 tff(19389,plain,
% 9.06/6.51 (~until5(s87)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19388, 19385])).
% 9.06/6.51 tff(19390,plain,
% 9.06/6.51 (~xuntil6(s86)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10046, 19389])).
% 9.06/6.51 tff(19391,plain,
% 9.06/6.51 (~always3(s86)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9218, 19386])).
% 9.06/6.51 tff(19392,plain,
% 9.06/6.51 (~node4(s86)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10033, 22, 19391])).
% 9.06/6.51 tff(19393,plain,
% 9.06/6.51 (xuntil6(s86) | (~until5(s86))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10040, 36, 19392])).
% 9.06/6.51 tff(19394,plain,
% 9.06/6.51 (~until5(s86)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19393, 19390])).
% 9.06/6.51 tff(19395,plain,
% 9.06/6.51 (~xuntil6(s85)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10029, 19394])).
% 9.06/6.51 tff(19396,plain,
% 9.06/6.51 (~always3(s85)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9230, 19391])).
% 9.06/6.51 tff(19397,plain,
% 9.06/6.51 (~node4(s85)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10016, 22, 19396])).
% 9.06/6.51 tff(19398,plain,
% 9.06/6.51 (xuntil6(s85) | (~until5(s85))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10023, 36, 19397])).
% 9.06/6.51 tff(19399,plain,
% 9.06/6.51 (~until5(s85)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19398, 19395])).
% 9.06/6.51 tff(19400,plain,
% 9.06/6.51 (~xuntil6(s84)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10012, 19399])).
% 9.06/6.51 tff(19401,plain,
% 9.06/6.51 (~always3(s84)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9242, 19396])).
% 9.06/6.51 tff(19402,plain,
% 9.06/6.51 (~node4(s84)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9999, 22, 19401])).
% 9.06/6.51 tff(19403,plain,
% 9.06/6.51 (xuntil6(s84) | (~until5(s84))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[10006, 36, 19402])).
% 9.06/6.51 tff(19404,plain,
% 9.06/6.51 (~until5(s84)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19403, 19400])).
% 9.06/6.51 tff(19405,plain,
% 9.06/6.51 (~xuntil6(s83)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9995, 19404])).
% 9.06/6.51 tff(19406,plain,
% 9.06/6.51 (~always3(s83)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9254, 19401])).
% 9.06/6.51 tff(19407,plain,
% 9.06/6.51 (~node4(s83)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9982, 22, 19406])).
% 9.06/6.51 tff(19408,plain,
% 9.06/6.51 (xuntil6(s83) | (~until5(s83))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9989, 36, 19407])).
% 9.06/6.51 tff(19409,plain,
% 9.06/6.51 (~until5(s83)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19408, 19405])).
% 9.06/6.51 tff(19410,plain,
% 9.06/6.51 (~xuntil6(s82)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9978, 19409])).
% 9.06/6.51 tff(19411,plain,
% 9.06/6.51 (~always3(s82)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9266, 19406])).
% 9.06/6.51 tff(19412,plain,
% 9.06/6.51 (~node4(s82)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9965, 22, 19411])).
% 9.06/6.51 tff(19413,plain,
% 9.06/6.51 (xuntil6(s82) | (~until5(s82))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9972, 36, 19412])).
% 9.06/6.51 tff(19414,plain,
% 9.06/6.51 (~until5(s82)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19413, 19410])).
% 9.06/6.51 tff(19415,plain,
% 9.06/6.51 (~xuntil6(s81)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9961, 19414])).
% 9.06/6.51 tff(19416,plain,
% 9.06/6.51 (~always3(s81)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9278, 19411])).
% 9.06/6.51 tff(19417,plain,
% 9.06/6.51 (~node4(s81)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9948, 22, 19416])).
% 9.06/6.51 tff(19418,plain,
% 9.06/6.51 (xuntil6(s81) | (~until5(s81))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9955, 36, 19417])).
% 9.06/6.51 tff(19419,plain,
% 9.06/6.51 (~until5(s81)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19418, 19415])).
% 9.06/6.51 tff(19420,plain,
% 9.06/6.51 (~xuntil6(s80)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9944, 19419])).
% 9.06/6.51 tff(19421,plain,
% 9.06/6.51 (~always3(s80)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9290, 19416])).
% 9.06/6.51 tff(19422,plain,
% 9.06/6.51 (~node4(s80)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9931, 22, 19421])).
% 9.06/6.51 tff(19423,plain,
% 9.06/6.51 (xuntil6(s80) | (~until5(s80))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9938, 36, 19422])).
% 9.06/6.51 tff(19424,plain,
% 9.06/6.51 (~until5(s80)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19423, 19420])).
% 9.06/6.51 tff(19425,plain,
% 9.06/6.51 (~xuntil6(s79)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9927, 19424])).
% 9.06/6.51 tff(19426,plain,
% 9.06/6.51 (~always3(s79)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9302, 19421])).
% 9.06/6.51 tff(19427,plain,
% 9.06/6.51 (~always3(s78)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9314, 19426])).
% 9.06/6.51 tff(19428,plain,
% 9.06/6.51 (~always3(s77)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9326, 19427])).
% 9.06/6.51 tff(19429,plain,
% 9.06/6.51 (~always3(s76)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9338, 19428])).
% 9.06/6.51 tff(19430,plain,
% 9.06/6.51 (~always3(s75)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9350, 19429])).
% 9.06/6.51 tff(19431,plain,
% 9.06/6.51 (~always3(s74)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9362, 19430])).
% 9.06/6.51 tff(19432,plain,
% 9.06/6.51 (~always3(s73)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9374, 19431])).
% 9.06/6.51 tff(19433,plain,
% 9.06/6.51 (~always3(s72)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9386, 19432])).
% 9.06/6.51 tff(19434,plain,
% 9.06/6.51 (~always3(s71)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9398, 19433])).
% 9.06/6.51 tff(19435,plain,
% 9.06/6.51 (~always3(s70)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9410, 19434])).
% 9.06/6.51 tff(19436,plain,
% 9.06/6.51 (~always3(s69)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9422, 19435])).
% 9.06/6.51 tff(19437,plain,
% 9.06/6.51 (~always3(s68)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9434, 19436])).
% 9.06/6.51 tff(19438,plain,
% 9.06/6.51 (~always3(s67)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9446, 19437])).
% 9.06/6.51 tff(19439,plain,
% 9.06/6.51 (~always3(s66)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9458, 19438])).
% 9.06/6.51 tff(19440,plain,
% 9.06/6.51 (~always3(s65)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9470, 19439])).
% 9.06/6.51 tff(19441,plain,
% 9.06/6.51 (~always3(s64)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9482, 19440])).
% 9.06/6.51 tff(19442,plain,
% 9.06/6.51 (~always3(s63)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9494, 19441])).
% 9.06/6.51 tff(19443,plain,
% 9.06/6.51 (~always3(s62)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9506, 19442])).
% 9.06/6.51 tff(19444,plain,
% 9.06/6.51 (~always3(s61)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9518, 19443])).
% 9.06/6.51 tff(19445,plain,
% 9.06/6.51 (~always3(s60)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9530, 19444])).
% 9.06/6.51 tff(19446,plain,
% 9.06/6.51 (~always3(s59)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9542, 19445])).
% 9.06/6.51 tff(19447,plain,
% 9.06/6.51 (~always3(s58)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[9558, 19446])).
% 9.06/6.51 tff(19448,plain,
% 9.06/6.51 (~always3(s57)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[5004, 19447])).
% 9.06/6.51 tff(19449,plain,
% 9.06/6.51 (~always3(s56)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[4870, 19448])).
% 9.06/6.51 tff(19450,plain,
% 9.06/6.51 (~always3(s55)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[4750, 19449])).
% 9.06/6.51 tff(19451,plain,
% 9.06/6.51 (~always3(s54)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[4602, 19450])).
% 9.06/6.51 tff(19452,plain,
% 9.06/6.51 (~always3(s53)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[4647, 19451])).
% 9.06/6.51 tff(19453,plain,
% 9.06/6.51 (~always3(s52)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[4521, 19452])).
% 9.06/6.51 tff(19454,plain,
% 9.06/6.51 (~always3(s51)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[4412, 19453])).
% 9.06/6.51 tff(19455,plain,
% 9.06/6.51 (~always3(s50)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[4363, 19454])).
% 9.06/6.51 tff(19456,plain,
% 9.06/6.51 (~always3(s49)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3944, 19455])).
% 9.06/6.51 tff(19457,plain,
% 9.06/6.51 (~always3(s48)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3754, 19456])).
% 9.06/6.51 tff(19458,plain,
% 9.06/6.51 (~always3(s47)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3799, 19457])).
% 9.06/6.51 tff(19459,plain,
% 9.06/6.51 (~always3(s46)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3828, 19458])).
% 9.06/6.51 tff(19460,plain,
% 9.06/6.51 (~always3(s45)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3857, 19459])).
% 9.06/6.51 tff(19461,plain,
% 9.06/6.51 (~always3(s44)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3886, 19460])).
% 9.06/6.51 tff(19462,plain,
% 9.06/6.51 (~always3(s43)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3705, 19461])).
% 9.06/6.51 tff(19463,plain,
% 9.06/6.51 (~always3(s42)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3618, 19462])).
% 9.06/6.51 tff(19464,plain,
% 9.06/6.51 (~always3(s41)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3559, 19463])).
% 9.06/6.51 tff(19465,plain,
% 9.06/6.51 (~always3(s40)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3474, 19464])).
% 9.06/6.51 tff(19466,plain,
% 9.06/6.51 (~always3(s39)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3424, 19465])).
% 9.06/6.51 tff(19467,plain,
% 9.06/6.51 (~node4(s39)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3428, 22, 19466])).
% 9.06/6.51 tff(19468,plain,
% 9.06/6.51 (~always3(s38)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3233, 19466])).
% 9.06/6.51 tff(19469,plain,
% 9.06/6.51 (~node4(s38)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3219, 22, 19468])).
% 9.06/6.51 tff(19470,plain,
% 9.06/6.51 (~always3(s37)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[2932, 19468])).
% 9.06/6.51 tff(19471,plain,
% 9.06/6.51 (xuntil6(s37)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3202, 19470])).
% 9.06/6.51 tff(19472,plain,
% 9.06/6.51 (until5(s38)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3207, 19471])).
% 9.06/6.51 tff(19473,plain,
% 9.06/6.51 (xuntil6(s38) | node4(s38)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3214, 36, 19472])).
% 9.06/6.51 tff(19474,plain,
% 9.06/6.51 (xuntil6(s38)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19473, 19469])).
% 9.06/6.51 tff(19475,plain,
% 9.06/6.51 (until5(s39)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3410, 19474])).
% 9.06/6.51 tff(19476,plain,
% 9.06/6.51 (xuntil6(s39)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3460, 36, 19475, 19467])).
% 9.06/6.51 tff(19477,plain,
% 9.06/6.51 (until5(s40)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3445, 19476])).
% 9.06/6.51 tff(19478,plain,
% 9.06/6.51 (~node4(s40)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3432, 22, 19465])).
% 9.06/6.51 tff(19479,plain,
% 9.06/6.51 (xuntil6(s40) | (~until5(s40))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3439, 36, 19478])).
% 9.06/6.51 tff(19480,plain,
% 9.06/6.51 (xuntil6(s40)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19479, 19477])).
% 9.06/6.51 tff(19481,plain,
% 9.06/6.51 (until5(s41)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3545, 19480])).
% 9.06/6.51 tff(19482,plain,
% 9.06/6.51 (~node4(s41)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3563, 22, 19464])).
% 9.06/6.51 tff(19483,plain,
% 9.06/6.51 (xuntil6(s41) | (~until5(s41))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3587, 36, 19482])).
% 9.06/6.51 tff(19484,plain,
% 9.06/6.51 (xuntil6(s41)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19483, 19481])).
% 9.06/6.51 tff(19485,plain,
% 9.06/6.51 (until5(s42)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3580, 19484])).
% 9.06/6.51 tff(19486,plain,
% 9.06/6.51 (~node4(s42)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3567, 22, 19463])).
% 9.06/6.51 tff(19487,plain,
% 9.06/6.51 (xuntil6(s42) | (~until5(s42))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3574, 36, 19486])).
% 9.06/6.51 tff(19488,plain,
% 9.06/6.51 (xuntil6(s42)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19487, 19485])).
% 9.06/6.51 tff(19489,plain,
% 9.06/6.51 (until5(s43)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3684, 19488])).
% 9.06/6.51 tff(19490,plain,
% 9.06/6.51 (~node4(s43)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3693, 22, 19462])).
% 9.06/6.51 tff(19491,plain,
% 9.06/6.51 (xuntil6(s43) | (~until5(s43))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3734, 36, 19490])).
% 9.06/6.51 tff(19492,plain,
% 9.06/6.51 (xuntil6(s43)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19491, 19489])).
% 9.06/6.51 tff(19493,plain,
% 9.06/6.51 (until5(s44)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3740, 19492])).
% 9.06/6.51 tff(19494,plain,
% 9.06/6.51 (~node4(s44)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3890, 22, 19461])).
% 9.06/6.51 tff(19495,plain,
% 9.06/6.51 (xuntil6(s44) | (~until5(s44))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3897, 36, 19494])).
% 9.06/6.51 tff(19496,plain,
% 9.06/6.51 (xuntil6(s44)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19495, 19493])).
% 9.06/6.51 tff(19497,plain,
% 9.06/6.51 (until5(s45)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[3877, 19496])).
% 9.06/6.51 tff(19498,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[3861, 22, 19460])).
% 9.06/6.51 tff(19499,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[3868, 36, 19498])).
% 9.06/6.51 tff(19500,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[19499, 19497])).
% 9.06/6.51 tff(19501,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[3848, 19500])).
% 9.06/6.51 tff(19502,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[3832, 22, 19459])).
% 9.06/6.51 tff(19503,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[3839, 36, 19502])).
% 9.06/6.51 tff(19504,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[19503, 19501])).
% 9.06/6.51 tff(19505,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[3819, 19504])).
% 9.06/6.51 tff(19506,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[3803, 22, 19458])).
% 9.06/6.51 tff(19507,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[3810, 36, 19506])).
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[19507, 19505])).
% 9.06/6.51 tff(19509,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[3790, 19508])).
% 9.06/6.51 tff(19510,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[3758, 22, 19457])).
% 9.06/6.51 tff(19511,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[3782, 36, 19510])).
% 9.06/6.51 tff(19512,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[19511, 19509])).
% 9.06/6.51 tff(19513,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[3775, 19512])).
% 9.06/6.51 tff(19514,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[3762, 22, 19456])).
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[3769, 36, 19514])).
% 9.06/6.51 tff(19516,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[19515, 19513])).
% 9.06/6.51 tff(19517,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[4342, 19516])).
% 9.06/6.51 tff(19518,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[4351, 22, 19455])).
% 9.06/6.51 tff(19519,plain,
% 9.06/6.51 (xuntil6(s50) | (~until5(s50))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[4392, 36, 19518])).
% 9.06/6.51 tff(19520,plain,
% 9.06/6.51 (xuntil6(s50)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19519, 19517])).
% 9.06/6.51 tff(19521,plain,
% 9.06/6.51 (until5(s51)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[4398, 19520])).
% 9.06/6.51 tff(19522,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[4416, 22, 19454])).
% 9.06/6.51 tff(19523,plain,
% 9.06/6.51 (xuntil6(s51) | (~until5(s51))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[4440, 36, 19522])).
% 9.06/6.51 tff(19524,plain,
% 9.06/6.51 (xuntil6(s51)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19523, 19521])).
% 9.06/6.51 tff(19525,plain,
% 9.06/6.51 (until5(s52)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[4433, 19524])).
% 9.06/6.51 tff(19526,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[4420, 22, 19453])).
% 9.06/6.51 tff(19527,plain,
% 9.06/6.51 (xuntil6(s52) | (~until5(s52))),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[4427, 36, 19526])).
% 9.06/6.51 tff(19528,plain,
% 9.06/6.51 (xuntil6(s52)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[19527, 19525])).
% 9.06/6.51 tff(19529,plain,
% 9.06/6.51 (until5(s53)),
% 9.06/6.51 inference(unit_resolution,[status(thm)],[4587, 19528])).
% 9.06/6.51 tff(19530,plain,
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% 9.06/6.51 inference(unit_resolution,[status(thm)],[4651, 22, 19452])).
% 9.08/6.51 tff(19531,plain,
% 9.08/6.51 (xuntil6(s53) | (~until5(s53))),
% 9.08/6.51 inference(unit_resolution,[status(thm)],[4658, 36, 19530])).
% 9.08/6.51 tff(19532,plain,
% 9.08/6.51 (xuntil6(s53)),
% 9.08/6.51 inference(unit_resolution,[status(thm)],[19531, 19529])).
% 9.08/6.51 tff(19533,plain,
% 9.08/6.51 (until5(s54)),
% 9.08/6.51 inference(unit_resolution,[status(thm)],[4638, 19532])).
% 9.08/6.51 tff(19534,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[4606, 22, 19451])).
% 9.08/6.51 tff(19535,plain,
% 9.08/6.51 (xuntil6(s54) | (~until5(s54))),
% 9.08/6.51 inference(unit_resolution,[status(thm)],[4630, 36, 19534])).
% 9.08/6.51 tff(19536,plain,
% 9.08/6.51 (xuntil6(s54)),
% 9.08/6.51 inference(unit_resolution,[status(thm)],[19535, 19533])).
% 9.08/6.51 tff(19537,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[4623, 19536])).
% 9.08/6.51 tff(19538,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[4610, 22, 19450])).
% 9.08/6.51 tff(19539,plain,
% 9.08/6.51 (xuntil6(s55) | (~until5(s55))),
% 9.08/6.51 inference(unit_resolution,[status(thm)],[4617, 36, 19538])).
% 9.08/6.51 tff(19540,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[19539, 19537])).
% 9.08/6.51 tff(19541,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[4856, 19540])).
% 9.08/6.51 tff(19542,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[4874, 22, 19449])).
% 9.08/6.51 tff(19543,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[4898, 36, 19542])).
% 9.08/6.51 tff(19544,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[19543, 19541])).
% 9.08/6.51 tff(19545,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[4891, 19544])).
% 9.08/6.51 tff(19546,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[4878, 22, 19448])).
% 9.08/6.51 tff(19547,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[4885, 36, 19546])).
% 9.08/6.51 tff(19548,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[19547, 19545])).
% 9.08/6.51 tff(19549,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[5070, 19548])).
% 9.08/6.51 tff(19550,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9562, 22, 19447])).
% 9.08/6.51 tff(19551,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9569, 36, 19550])).
% 9.08/6.51 tff(19552,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[19551, 19549])).
% 9.08/6.51 tff(19553,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9575, 19552])).
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9546, 22, 19446])).
% 9.08/6.51 tff(19555,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9582, 36, 19554])).
% 9.08/6.51 tff(19556,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[19555, 19553])).
% 9.08/6.51 tff(19557,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9587, 19556])).
% 9.08/6.51 tff(19558,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9591, 22, 19445])).
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9598, 36, 19558])).
% 9.08/6.51 tff(19560,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[19559, 19557])).
% 9.08/6.51 tff(19561,plain,
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% 9.08/6.51 tff(19562,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9608, 22, 19444])).
% 9.08/6.51 tff(19563,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9615, 36, 19562])).
% 9.08/6.51 tff(19564,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[19563, 19561])).
% 9.08/6.51 tff(19565,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9632, 36, 19566])).
% 9.08/6.51 tff(19568,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[19567, 19565])).
% 9.08/6.51 tff(19569,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9638, 19568])).
% 9.08/6.51 tff(19570,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9642, 22, 19442])).
% 9.08/6.51 tff(19571,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9649, 36, 19570])).
% 9.08/6.51 tff(19572,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[19571, 19569])).
% 9.08/6.51 tff(19573,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9655, 19572])).
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9659, 22, 19441])).
% 9.08/6.51 tff(19575,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9666, 36, 19574])).
% 9.08/6.51 tff(19576,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[19575, 19573])).
% 9.08/6.51 tff(19577,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9672, 19576])).
% 9.08/6.51 tff(19578,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9676, 22, 19440])).
% 9.08/6.51 tff(19579,plain,
% 9.08/6.51 (xuntil6(s65) | (~until5(s65))),
% 9.08/6.51 inference(unit_resolution,[status(thm)],[9683, 36, 19578])).
% 9.08/6.51 tff(19580,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[19579, 19577])).
% 9.08/6.51 tff(19581,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9689, 19580])).
% 9.08/6.51 tff(19582,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9693, 22, 19439])).
% 9.08/6.51 tff(19583,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9700, 36, 19582])).
% 9.08/6.51 tff(19584,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[19583, 19581])).
% 9.08/6.51 tff(19585,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9706, 19584])).
% 9.08/6.51 tff(19586,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9710, 22, 19438])).
% 9.08/6.51 tff(19587,plain,
% 9.08/6.51 (xuntil6(s67) | (~until5(s67))),
% 9.08/6.51 inference(unit_resolution,[status(thm)],[9717, 36, 19586])).
% 9.08/6.51 tff(19588,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[19587, 19585])).
% 9.08/6.51 tff(19589,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9723, 19588])).
% 9.08/6.51 tff(19590,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9727, 22, 19437])).
% 9.08/6.51 tff(19591,plain,
% 9.08/6.51 (xuntil6(s68) | (~until5(s68))),
% 9.08/6.51 inference(unit_resolution,[status(thm)],[9734, 36, 19590])).
% 9.08/6.51 tff(19592,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[19591, 19589])).
% 9.08/6.51 tff(19593,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9740, 19592])).
% 9.08/6.51 tff(19594,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9744, 22, 19436])).
% 9.08/6.51 tff(19595,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9751, 36, 19594])).
% 9.08/6.51 tff(19596,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[19595, 19593])).
% 9.08/6.51 tff(19597,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9757, 19596])).
% 9.08/6.51 tff(19598,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9761, 22, 19435])).
% 9.08/6.51 tff(19599,plain,
% 9.08/6.51 (xuntil6(s70) | (~until5(s70))),
% 9.08/6.51 inference(unit_resolution,[status(thm)],[9768, 36, 19598])).
% 9.08/6.51 tff(19600,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[19599, 19597])).
% 9.08/6.51 tff(19601,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9774, 19600])).
% 9.08/6.51 tff(19602,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9778, 22, 19434])).
% 9.08/6.51 tff(19603,plain,
% 9.08/6.51 (xuntil6(s71) | (~until5(s71))),
% 9.08/6.51 inference(unit_resolution,[status(thm)],[9785, 36, 19602])).
% 9.08/6.51 tff(19604,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[19603, 19601])).
% 9.08/6.51 tff(19605,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9791, 19604])).
% 9.08/6.51 tff(19606,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[9795, 22, 19433])).
% 9.08/6.51 tff(19607,plain,
% 9.08/6.51 (xuntil6(s72) | (~until5(s72))),
% 9.08/6.51 inference(unit_resolution,[status(thm)],[9802, 36, 19606])).
% 9.08/6.51 tff(19608,plain,
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% 9.08/6.51 inference(unit_resolution,[status(thm)],[19607, 19605])).
% 9.08/6.51 tff(19609,plain,
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% 9.08/6.52 inference(unit_resolution,[status(thm)],[9808, 19608])).
% 9.08/6.52 tff(19610,plain,
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% 9.08/6.52 inference(unit_resolution,[status(thm)],[9812, 22, 19432])).
% 9.08/6.52 tff(19611,plain,
% 9.08/6.52 (xuntil6(s73) | (~until5(s73))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9819, 36, 19610])).
% 9.08/6.52 tff(19612,plain,
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% 9.08/6.52 inference(unit_resolution,[status(thm)],[19611, 19609])).
% 9.08/6.52 tff(19613,plain,
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% 9.08/6.52 inference(unit_resolution,[status(thm)],[9825, 19612])).
% 9.08/6.52 tff(19614,plain,
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% 9.08/6.52 inference(unit_resolution,[status(thm)],[9829, 22, 19431])).
% 9.08/6.52 tff(19615,plain,
% 9.08/6.52 (xuntil6(s74) | (~until5(s74))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9836, 36, 19614])).
% 9.08/6.52 tff(19616,plain,
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% 9.08/6.52 inference(unit_resolution,[status(thm)],[19615, 19613])).
% 9.08/6.52 tff(19617,plain,
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% 9.08/6.52 inference(unit_resolution,[status(thm)],[9842, 19616])).
% 9.08/6.52 tff(19618,plain,
% 9.08/6.52 (~node4(s75)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9846, 22, 19430])).
% 9.08/6.52 tff(19619,plain,
% 9.08/6.52 (xuntil6(s75) | (~until5(s75))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9853, 36, 19618])).
% 9.08/6.52 tff(19620,plain,
% 9.08/6.52 (xuntil6(s75)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19619, 19617])).
% 9.08/6.52 tff(19621,plain,
% 9.08/6.52 (until5(s76)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9859, 19620])).
% 9.08/6.52 tff(19622,plain,
% 9.08/6.52 (~node4(s76)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9863, 22, 19429])).
% 9.08/6.52 tff(19623,plain,
% 9.08/6.52 (xuntil6(s76) | (~until5(s76))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9870, 36, 19622])).
% 9.08/6.52 tff(19624,plain,
% 9.08/6.52 (xuntil6(s76)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19623, 19621])).
% 9.08/6.52 tff(19625,plain,
% 9.08/6.52 (until5(s77)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9876, 19624])).
% 9.08/6.52 tff(19626,plain,
% 9.08/6.52 (~node4(s77)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9880, 22, 19428])).
% 9.08/6.52 tff(19627,plain,
% 9.08/6.52 (xuntil6(s77) | (~until5(s77))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9887, 36, 19626])).
% 9.08/6.52 tff(19628,plain,
% 9.08/6.52 (xuntil6(s77)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19627, 19625])).
% 9.08/6.52 tff(19629,plain,
% 9.08/6.52 (until5(s78)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9893, 19628])).
% 9.08/6.52 tff(19630,plain,
% 9.08/6.52 (~node4(s78)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9897, 22, 19427])).
% 9.08/6.52 tff(19631,plain,
% 9.08/6.52 (xuntil6(s78) | (~until5(s78))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9904, 36, 19630])).
% 9.08/6.52 tff(19632,plain,
% 9.08/6.52 (xuntil6(s78)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19631, 19629])).
% 9.08/6.52 tff(19633,plain,
% 9.08/6.52 (until5(s79)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9910, 19632])).
% 9.08/6.52 tff(19634,plain,
% 9.08/6.52 (~node4(s79)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9914, 22, 19426])).
% 9.08/6.52 tff(19635,plain,
% 9.08/6.52 (xuntil6(s79) | (~until5(s79))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9921, 36, 19634])).
% 9.08/6.52 tff(19636,plain,
% 9.08/6.52 ($false),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19635, 19633, 19425])).
% 9.08/6.52 tff(19637,plain,(always3(s120) | xuntil6(s120)), inference(lemma,lemma(discharge,[]))).
% 9.08/6.52 tff(19638,plain,
% 9.08/6.52 (always3(s120)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19637, 19221])).
% 9.08/6.52 tff(19639,plain,
% 9.08/6.52 (always3(s121)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[8810, 19638])).
% 9.08/6.52 tff(19640,plain,
% 9.08/6.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s121)) | (~m_main_v_state(s121, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s121)) | (~m_main_v_state(s121, c_busy)))),
% 9.08/6.52 inference(rewrite,[status(thm)],[])).
% 9.08/6.52 tff(19641,plain,
% 9.08/6.52 (((~m_main_v_state(s121, c_busy)) | (~always3(s121))) <=> ((~always3(s121)) | (~m_main_v_state(s121, c_busy)))),
% 9.08/6.52 inference(rewrite,[status(thm)],[])).
% 9.08/6.52 tff(19642,plain,
% 9.08/6.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s121, c_busy)) | (~always3(s121)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s121)) | (~m_main_v_state(s121, c_busy))))),
% 9.08/6.52 inference(monotonicity,[status(thm)],[19641])).
% 9.08/6.52 tff(19643,plain,
% 9.08/6.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s121, c_busy)) | (~always3(s121)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s121)) | (~m_main_v_state(s121, c_busy)))),
% 9.08/6.52 inference(transitivity,[status(thm)],[19642, 19640])).
% 9.08/6.52 tff(19644,plain,
% 9.08/6.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s121, c_busy)) | (~always3(s121)))),
% 9.08/6.52 inference(quant_inst,[status(thm)],[])).
% 9.08/6.52 tff(19645,plain,
% 9.08/6.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s121)) | (~m_main_v_state(s121, c_busy))),
% 9.08/6.52 inference(modus_ponens,[status(thm)],[19644, 19643])).
% 9.08/6.52 tff(19646,plain,
% 9.08/6.52 (~m_main_v_state(s121, c_busy)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19645, 170, 19639])).
% 9.08/6.52 tff(19647,plain,
% 9.08/6.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s120)) | (~m_main_v_state(s120, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s120)) | (~m_main_v_state(s120, c_busy)))),
% 9.08/6.52 inference(rewrite,[status(thm)],[])).
% 9.08/6.52 tff(19648,plain,
% 9.08/6.52 (((~m_main_v_state(s120, c_busy)) | (~always3(s120))) <=> ((~always3(s120)) | (~m_main_v_state(s120, c_busy)))),
% 9.08/6.52 inference(rewrite,[status(thm)],[])).
% 9.08/6.52 tff(19649,plain,
% 9.08/6.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s120, c_busy)) | (~always3(s120)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s120)) | (~m_main_v_state(s120, c_busy))))),
% 9.08/6.52 inference(monotonicity,[status(thm)],[19648])).
% 9.08/6.52 tff(19650,plain,
% 9.08/6.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s120, c_busy)) | (~always3(s120)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s120)) | (~m_main_v_state(s120, c_busy)))),
% 9.08/6.52 inference(transitivity,[status(thm)],[19649, 19647])).
% 9.08/6.52 tff(19651,plain,
% 9.08/6.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s120, c_busy)) | (~always3(s120)))),
% 9.08/6.52 inference(quant_inst,[status(thm)],[])).
% 9.08/6.52 tff(19652,plain,
% 9.08/6.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s120)) | (~m_main_v_state(s120, c_busy))),
% 9.08/6.52 inference(modus_ponens,[status(thm)],[19651, 19650])).
% 9.08/6.52 tff(19653,plain,
% 9.08/6.52 (~m_main_v_state(s120, c_busy)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19652, 170, 19638])).
% 9.08/6.52 tff(19654,plain,
% 9.08/6.52 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s120, c_busy) | m_main_v_state(s120, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s120, c_busy) | m_main_v_state(s120, c_ready))),
% 9.08/6.52 inference(rewrite,[status(thm)],[])).
% 9.08/6.52 tff(19655,plain,
% 9.08/6.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s120, c_busy) | m_main_v_state(s120, c_ready))),
% 9.08/6.52 inference(quant_inst,[status(thm)],[])).
% 9.08/6.52 tff(19656,plain,
% 9.08/6.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s120, c_busy) | m_main_v_state(s120, c_ready)),
% 9.08/6.52 inference(modus_ponens,[status(thm)],[19655, 19654])).
% 9.08/6.52 tff(19657,plain,
% 9.08/6.52 (m_main_v_state(s120, c_ready)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19656, 213, 19653])).
% 9.08/6.52 tff(19658,assumption,(until5(s118)), introduced(assumption)).
% 9.08/6.52 tff(19659,assumption,(~xuntil6(s119)), introduced(assumption)).
% 9.08/6.52 tff(19660,assumption,(~always3(s119)), introduced(assumption)).
% 9.08/6.52 tff(19661,plain,
% 9.08/6.52 (~always3(s118)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[8834, 19660])).
% 9.08/6.52 tff(19662,plain,
% 9.08/6.52 (~node4(s118)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10577, 22, 19661])).
% 9.08/6.52 tff(19663,plain,
% 9.08/6.52 (xuntil6(s118) | node4(s118)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10584, 36, 19658])).
% 9.08/6.52 tff(19664,plain,
% 9.08/6.52 (xuntil6(s118)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19663, 19662])).
% 9.08/6.52 tff(19665,plain,
% 9.08/6.52 (until5(s119)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10590, 19664])).
% 9.08/6.52 tff(19666,plain,
% 9.08/6.52 (node4(s119) | (~until5(s119))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10601, 36, 19659])).
% 9.08/6.52 tff(19667,plain,
% 9.08/6.52 (node4(s119)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19666, 19665])).
% 9.08/6.52 tff(19668,plain,
% 9.08/6.52 ($false),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10594, 22, 19660, 19667])).
% 9.08/6.52 tff(19669,plain,(always3(s119) | xuntil6(s119) | (~until5(s118))), inference(lemma,lemma(discharge,[]))).
% 9.08/6.52 tff(19670,plain,
% 9.08/6.52 (always3(s119)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19669, 19658, 19659])).
% 9.08/6.52 tff(19671,plain,
% 9.08/6.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s119)) | (~m_main_v_state(s119, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s119)) | (~m_main_v_state(s119, c_busy)))),
% 9.08/6.52 inference(rewrite,[status(thm)],[])).
% 9.08/6.52 tff(19672,plain,
% 9.08/6.52 (((~m_main_v_state(s119, c_busy)) | (~always3(s119))) <=> ((~always3(s119)) | (~m_main_v_state(s119, c_busy)))),
% 9.08/6.52 inference(rewrite,[status(thm)],[])).
% 9.08/6.52 tff(19673,plain,
% 9.08/6.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s119, c_busy)) | (~always3(s119)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s119)) | (~m_main_v_state(s119, c_busy))))),
% 9.08/6.52 inference(monotonicity,[status(thm)],[19672])).
% 9.08/6.52 tff(19674,plain,
% 9.08/6.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s119, c_busy)) | (~always3(s119)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s119)) | (~m_main_v_state(s119, c_busy)))),
% 9.08/6.52 inference(transitivity,[status(thm)],[19673, 19671])).
% 9.08/6.52 tff(19675,plain,
% 9.08/6.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s119, c_busy)) | (~always3(s119)))),
% 9.08/6.52 inference(quant_inst,[status(thm)],[])).
% 9.08/6.52 tff(19676,plain,
% 9.08/6.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s119)) | (~m_main_v_state(s119, c_busy))),
% 9.08/6.52 inference(modus_ponens,[status(thm)],[19675, 19674])).
% 9.08/6.52 tff(19677,plain,
% 9.08/6.52 (~m_main_v_state(s119, c_busy)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19676, 170, 19670])).
% 9.08/6.52 tff(19678,assumption,(~m_main_v_state(s120, c_busy)), introduced(assumption)).
% 9.08/6.52 tff(19679,plain,
% 9.08/6.52 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s119, c_busy) | m_main_v_state(s119, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s119, c_busy) | m_main_v_state(s119, c_ready))),
% 9.08/6.52 inference(rewrite,[status(thm)],[])).
% 9.08/6.52 tff(19680,plain,
% 9.08/6.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s119, c_busy) | m_main_v_state(s119, c_ready))),
% 9.08/6.52 inference(quant_inst,[status(thm)],[])).
% 9.08/6.52 tff(19681,plain,
% 9.08/6.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s119, c_busy) | m_main_v_state(s119, c_ready)),
% 9.08/6.52 inference(modus_ponens,[status(thm)],[19680, 19679])).
% 9.08/6.52 tff(19682,plain,
% 9.08/6.52 (m_main_v_state(s119, c_ready)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19681, 213, 19677])).
% 9.08/6.52 tff(19683,plain,
% 9.08/6.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s119, s120)) | node2(s119, s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s119, s120)) | node2(s119, s120))),
% 9.08/6.52 inference(rewrite,[status(thm)],[])).
% 9.08/6.52 tff(19684,plain,
% 9.08/6.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s119, s120)) | node2(s119, s120))),
% 9.08/6.52 inference(quant_inst,[status(thm)],[])).
% 9.08/6.52 tff(19685,plain,
% 9.08/6.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s119, s120)) | node2(s119, s120)),
% 9.08/6.52 inference(modus_ponens,[status(thm)],[19684, 19683])).
% 9.08/6.52 tff(19686,plain,
% 9.08/6.52 (node2(s119, s120)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19685, 7, 8818])).
% 9.08/6.52 tff(19687,plain,
% 9.08/6.52 (((~![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(s119, c_ready)) | (~node2(s119, s120)) | m_main_v_state(s120, c_busy) | (~m_main_v_request(s119)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s119, c_ready)) | (~node2(s119, s120)) | m_main_v_state(s120, c_busy) | (~m_main_v_request(s119)))),
% 9.08/6.52 inference(rewrite,[status(thm)],[])).
% 9.08/6.52 tff(19688,plain,
% 9.08/6.52 ((~![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(s119, c_ready)) | (~node2(s119, s120)) | m_main_v_state(s120, c_busy) | (~m_main_v_request(s119)))),
% 9.08/6.52 inference(quant_inst,[status(thm)],[])).
% 9.08/6.52 tff(19689,plain,
% 9.08/6.52 ((~![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(s119, c_ready)) | (~node2(s119, s120)) | m_main_v_state(s120, c_busy) | (~m_main_v_request(s119))),
% 9.08/6.52 inference(modus_ponens,[status(thm)],[19688, 19687])).
% 9.08/6.52 tff(19690,plain,
% 9.08/6.52 ((~m_main_v_state(s119, c_ready)) | m_main_v_state(s120, c_busy) | (~m_main_v_request(s119))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19689, 191, 19686])).
% 9.08/6.52 tff(19691,plain,
% 9.08/6.52 (~m_main_v_request(s119)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19690, 19682, 19678])).
% 9.08/6.52 tff(19692,plain,
% 9.08/6.52 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s119) | (~node4(s119)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s119) | (~node4(s119)))),
% 9.08/6.52 inference(rewrite,[status(thm)],[])).
% 9.08/6.52 tff(19693,plain,
% 9.08/6.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s119) | (~node4(s119)))),
% 9.08/6.52 inference(quant_inst,[status(thm)],[])).
% 9.08/6.52 tff(19694,plain,
% 9.08/6.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s119) | (~node4(s119))),
% 9.08/6.52 inference(modus_ponens,[status(thm)],[19693, 19692])).
% 9.08/6.52 tff(19695,plain,
% 9.08/6.52 (~node4(s119)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19694, 154, 19691])).
% 9.08/6.52 tff(19696,plain,
% 9.08/6.52 (~until5(s119)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19666, 19695])).
% 9.08/6.52 tff(19697,plain,
% 9.08/6.52 (~xuntil6(s118)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10590, 19696])).
% 9.08/6.52 tff(19698,plain,
% 9.08/6.52 (node4(s118)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19663, 19697])).
% 9.08/6.52 tff(19699,plain,
% 9.08/6.52 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s118) | (~node4(s118)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s118) | (~node4(s118)))),
% 9.08/6.52 inference(rewrite,[status(thm)],[])).
% 9.08/6.52 tff(19700,plain,
% 9.08/6.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s118) | (~node4(s118)))),
% 9.08/6.52 inference(quant_inst,[status(thm)],[])).
% 9.08/6.52 tff(19701,plain,
% 9.08/6.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s118) | (~node4(s118))),
% 9.08/6.52 inference(modus_ponens,[status(thm)],[19700, 19699])).
% 9.08/6.52 tff(19702,plain,
% 9.08/6.52 (m_main_v_request(s118)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19701, 154, 19698])).
% 9.08/6.52 tff(19703,plain,
% 9.08/6.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s118, s119)) | node2(s118, s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s118, s119)) | node2(s118, s119))),
% 9.08/6.52 inference(rewrite,[status(thm)],[])).
% 9.08/6.52 tff(19704,plain,
% 9.08/6.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s118, s119)) | node2(s118, s119))),
% 9.08/6.52 inference(quant_inst,[status(thm)],[])).
% 9.08/6.52 tff(19705,plain,
% 9.08/6.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s118, s119)) | node2(s118, s119)),
% 9.08/6.52 inference(modus_ponens,[status(thm)],[19704, 19703])).
% 9.08/6.52 tff(19706,plain,
% 9.08/6.52 (node2(s118, s119)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19705, 7, 8830])).
% 9.08/6.52 tff(19707,plain,
% 9.08/6.52 (((~![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(s118, c_ready)) | (~node2(s118, s119)) | m_main_v_state(s119, c_busy) | (~m_main_v_request(s118)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s118, c_ready)) | (~node2(s118, s119)) | m_main_v_state(s119, c_busy) | (~m_main_v_request(s118)))),
% 9.08/6.52 inference(rewrite,[status(thm)],[])).
% 9.08/6.52 tff(19708,plain,
% 9.08/6.52 ((~![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(s118, c_ready)) | (~node2(s118, s119)) | m_main_v_state(s119, c_busy) | (~m_main_v_request(s118)))),
% 9.08/6.52 inference(quant_inst,[status(thm)],[])).
% 9.08/6.52 tff(19709,plain,
% 9.08/6.52 ((~![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(s118, c_ready)) | (~node2(s118, s119)) | m_main_v_state(s119, c_busy) | (~m_main_v_request(s118))),
% 9.08/6.52 inference(modus_ponens,[status(thm)],[19708, 19707])).
% 9.08/6.52 tff(19710,plain,
% 9.08/6.52 ((~m_main_v_state(s118, c_ready)) | m_main_v_state(s119, c_busy) | (~m_main_v_request(s118))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19709, 191, 19706])).
% 9.08/6.52 tff(19711,plain,
% 9.08/6.52 (~m_main_v_state(s118, c_ready)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19710, 19702, 19677])).
% 9.08/6.52 tff(19712,plain,
% 9.08/6.52 (always3(s118)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10577, 22, 19698])).
% 9.08/6.52 tff(19713,plain,
% 9.08/6.52 (~m_main_v_state(s118, c_busy)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19164, 170, 19712])).
% 9.08/6.52 tff(19714,plain,
% 9.08/6.52 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s118, c_busy) | m_main_v_state(s118, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s118, c_busy) | m_main_v_state(s118, c_ready))),
% 9.08/6.52 inference(rewrite,[status(thm)],[])).
% 9.08/6.52 tff(19715,plain,
% 9.08/6.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s118, c_busy) | m_main_v_state(s118, c_ready))),
% 9.08/6.52 inference(quant_inst,[status(thm)],[])).
% 9.08/6.52 tff(19716,plain,
% 9.08/6.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s118, c_busy) | m_main_v_state(s118, c_ready)),
% 9.08/6.52 inference(modus_ponens,[status(thm)],[19715, 19714])).
% 9.08/6.52 tff(19717,plain,
% 9.08/6.52 ($false),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19716, 213, 19713, 19711])).
% 9.08/6.52 tff(19718,plain,((~until5(s118)) | xuntil6(s119) | m_main_v_state(s120, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.08/6.52 tff(19719,plain,
% 9.08/6.52 (xuntil6(s119)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19718, 19653, 19658])).
% 9.08/6.52 tff(19720,plain,
% 9.08/6.52 (until5(s120)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10607, 19719])).
% 9.08/6.52 tff(19721,plain,
% 9.08/6.52 (node4(s120)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19226, 19720])).
% 9.08/6.52 tff(19722,plain,
% 9.08/6.52 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s120) | (~node4(s120)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s120) | (~node4(s120)))),
% 9.08/6.52 inference(rewrite,[status(thm)],[])).
% 9.08/6.52 tff(19723,plain,
% 9.08/6.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s120) | (~node4(s120)))),
% 9.08/6.52 inference(quant_inst,[status(thm)],[])).
% 9.08/6.52 tff(19724,plain,
% 9.08/6.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s120) | (~node4(s120))),
% 9.08/6.52 inference(modus_ponens,[status(thm)],[19723, 19722])).
% 9.08/6.52 tff(19725,plain,
% 9.08/6.52 (m_main_v_request(s120)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19724, 154, 19721])).
% 9.08/6.52 tff(19726,plain,
% 9.08/6.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s120, s121)) | node2(s120, s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s120, s121)) | node2(s120, s121))),
% 9.08/6.52 inference(rewrite,[status(thm)],[])).
% 9.08/6.52 tff(19727,plain,
% 9.08/6.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s120, s121)) | node2(s120, s121))),
% 9.08/6.52 inference(quant_inst,[status(thm)],[])).
% 9.08/6.52 tff(19728,plain,
% 9.08/6.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s120, s121)) | node2(s120, s121)),
% 9.08/6.52 inference(modus_ponens,[status(thm)],[19727, 19726])).
% 9.08/6.52 tff(19729,plain,
% 9.08/6.52 (node2(s120, s121)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19728, 7, 8806])).
% 9.08/6.52 tff(19730,plain,
% 9.08/6.52 (((~![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(s120, c_ready)) | (~node2(s120, s121)) | m_main_v_state(s121, c_busy) | (~m_main_v_request(s120)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s120, c_ready)) | (~node2(s120, s121)) | m_main_v_state(s121, c_busy) | (~m_main_v_request(s120)))),
% 9.08/6.52 inference(rewrite,[status(thm)],[])).
% 9.08/6.52 tff(19731,plain,
% 9.08/6.52 ((~![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(s120, c_ready)) | (~node2(s120, s121)) | m_main_v_state(s121, c_busy) | (~m_main_v_request(s120)))),
% 9.08/6.52 inference(quant_inst,[status(thm)],[])).
% 9.08/6.52 tff(19732,plain,
% 9.08/6.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s120, c_ready)) | (~node2(s120, s121)) | m_main_v_state(s121, c_busy) | (~m_main_v_request(s120))),
% 9.08/6.52 inference(modus_ponens,[status(thm)],[19731, 19730])).
% 9.08/6.52 tff(19733,plain,
% 9.08/6.52 ((~m_main_v_state(s120, c_ready)) | m_main_v_state(s121, c_busy) | (~m_main_v_request(s120))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19732, 191, 19729])).
% 9.08/6.52 tff(19734,plain,
% 9.08/6.52 ($false),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19733, 19725, 19657, 19646])).
% 9.08/6.52 tff(19735,plain,(xuntil6(s120) | (~until5(s118))), inference(lemma,lemma(discharge,[]))).
% 9.08/6.52 tff(19736,plain,
% 9.08/6.52 (xuntil6(s120)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19735, 19220])).
% 9.08/6.52 tff(19737,plain,
% 9.08/6.52 (until5(s121)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10624, 19736])).
% 9.08/6.52 tff(19738,assumption,(~xuntil6(s122)), introduced(assumption)).
% 9.08/6.52 tff(19739,assumption,(~always3(s122)), introduced(assumption)).
% 9.08/6.52 tff(19740,plain,
% 9.08/6.52 (~always3(s121)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[8798, 19739])).
% 9.08/6.52 tff(19741,plain,
% 9.08/6.52 (~node4(s121)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10628, 22, 19740])).
% 9.08/6.52 tff(19742,plain,
% 9.08/6.52 (~node4(s122)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10645, 22, 19739])).
% 9.08/6.52 tff(19743,plain,
% 9.08/6.52 (node4(s122) | (~until5(s122))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10652, 36, 19738])).
% 9.08/6.52 tff(19744,plain,
% 9.08/6.52 (~until5(s122)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19743, 19742])).
% 9.08/6.52 tff(19745,plain,
% 9.08/6.52 (~xuntil6(s121)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10641, 19744])).
% 9.08/6.52 tff(19746,plain,
% 9.08/6.52 (~until5(s121)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10635, 36, 19745, 19741])).
% 9.08/6.52 tff(19747,plain,
% 9.08/6.52 (~xuntil6(s120)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10624, 19746])).
% 9.08/6.52 tff(19748,plain,
% 9.08/6.52 (~always3(s120)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[8810, 19740])).
% 9.08/6.52 tff(19749,plain,
% 9.08/6.52 (~node4(s120)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10611, 22, 19748])).
% 9.08/6.52 tff(19750,plain,
% 9.08/6.52 (xuntil6(s120) | (~until5(s120))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10618, 36, 19749])).
% 9.08/6.52 tff(19751,plain,
% 9.08/6.52 (~until5(s120)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19750, 19747])).
% 9.08/6.52 tff(19752,plain,
% 9.08/6.52 (~xuntil6(s119)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10607, 19751])).
% 9.08/6.52 tff(19753,plain,
% 9.08/6.52 (~always3(s119)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[8822, 19748])).
% 9.08/6.52 tff(19754,plain,
% 9.08/6.52 (~node4(s119)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10594, 22, 19753])).
% 9.08/6.52 tff(19755,plain,
% 9.08/6.52 (xuntil6(s119) | (~until5(s119))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10601, 36, 19754])).
% 9.08/6.52 tff(19756,plain,
% 9.08/6.52 (~until5(s119)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19755, 19752])).
% 9.08/6.52 tff(19757,plain,
% 9.08/6.52 (~xuntil6(s118)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10590, 19756])).
% 9.08/6.52 tff(19758,plain,
% 9.08/6.52 (~always3(s118)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[8834, 19753])).
% 9.08/6.52 tff(19759,plain,
% 9.08/6.52 (~node4(s118)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10577, 22, 19758])).
% 9.08/6.52 tff(19760,plain,
% 9.08/6.52 (xuntil6(s118) | (~until5(s118))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10584, 36, 19759])).
% 9.08/6.52 tff(19761,plain,
% 9.08/6.52 (~until5(s118)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19760, 19757])).
% 9.08/6.52 tff(19762,plain,
% 9.08/6.52 (~xuntil6(s117)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10573, 19761])).
% 9.08/6.52 tff(19763,plain,
% 9.08/6.52 (~always3(s117)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[8846, 19758])).
% 9.08/6.52 tff(19764,plain,
% 9.08/6.52 (~node4(s117)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10560, 22, 19763])).
% 9.08/6.52 tff(19765,plain,
% 9.08/6.52 (xuntil6(s117) | (~until5(s117))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10567, 36, 19764])).
% 9.08/6.52 tff(19766,plain,
% 9.08/6.52 (~until5(s117)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19765, 19762])).
% 9.08/6.52 tff(19767,plain,
% 9.08/6.52 (~xuntil6(s116)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10556, 19766])).
% 9.08/6.52 tff(19768,plain,
% 9.08/6.52 (~always3(s116)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[8858, 19763])).
% 9.08/6.52 tff(19769,plain,
% 9.08/6.52 (~node4(s116)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10543, 22, 19768])).
% 9.08/6.52 tff(19770,plain,
% 9.08/6.52 (xuntil6(s116) | (~until5(s116))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10550, 36, 19769])).
% 9.08/6.52 tff(19771,plain,
% 9.08/6.52 (~until5(s116)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19770, 19767])).
% 9.08/6.52 tff(19772,plain,
% 9.08/6.52 (~xuntil6(s115)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10539, 19771])).
% 9.08/6.52 tff(19773,plain,
% 9.08/6.52 (~always3(s115)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[8870, 19768])).
% 9.08/6.52 tff(19774,plain,
% 9.08/6.52 (~node4(s115)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10526, 22, 19773])).
% 9.08/6.52 tff(19775,plain,
% 9.08/6.52 (xuntil6(s115) | (~until5(s115))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10533, 36, 19774])).
% 9.08/6.52 tff(19776,plain,
% 9.08/6.52 (~until5(s115)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19775, 19772])).
% 9.08/6.52 tff(19777,plain,
% 9.08/6.52 (~xuntil6(s114)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10522, 19776])).
% 9.08/6.52 tff(19778,plain,
% 9.08/6.52 (~always3(s114)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[8882, 19773])).
% 9.08/6.52 tff(19779,plain,
% 9.08/6.52 (~node4(s114)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10509, 22, 19778])).
% 9.08/6.52 tff(19780,plain,
% 9.08/6.52 (xuntil6(s114) | (~until5(s114))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10516, 36, 19779])).
% 9.08/6.52 tff(19781,plain,
% 9.08/6.52 (~until5(s114)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19780, 19777])).
% 9.08/6.52 tff(19782,plain,
% 9.08/6.52 (~xuntil6(s113)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10505, 19781])).
% 9.08/6.52 tff(19783,plain,
% 9.08/6.52 (~always3(s113)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[8894, 19778])).
% 9.08/6.52 tff(19784,plain,
% 9.08/6.52 (~node4(s113)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10492, 22, 19783])).
% 9.08/6.52 tff(19785,plain,
% 9.08/6.52 (xuntil6(s113) | (~until5(s113))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10499, 36, 19784])).
% 9.08/6.52 tff(19786,plain,
% 9.08/6.52 (~until5(s113)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19785, 19782])).
% 9.08/6.52 tff(19787,plain,
% 9.08/6.52 (~xuntil6(s112)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10488, 19786])).
% 9.08/6.52 tff(19788,plain,
% 9.08/6.52 (~always3(s112)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[8906, 19783])).
% 9.08/6.52 tff(19789,plain,
% 9.08/6.52 (~node4(s112)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10475, 22, 19788])).
% 9.08/6.52 tff(19790,plain,
% 9.08/6.52 (xuntil6(s112) | (~until5(s112))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10482, 36, 19789])).
% 9.08/6.52 tff(19791,plain,
% 9.08/6.52 (~until5(s112)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19790, 19787])).
% 9.08/6.52 tff(19792,plain,
% 9.08/6.52 (~xuntil6(s111)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10471, 19791])).
% 9.08/6.52 tff(19793,plain,
% 9.08/6.52 (~always3(s111)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[8918, 19788])).
% 9.08/6.52 tff(19794,plain,
% 9.08/6.52 (~node4(s111)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10458, 22, 19793])).
% 9.08/6.52 tff(19795,plain,
% 9.08/6.52 (xuntil6(s111) | (~until5(s111))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10465, 36, 19794])).
% 9.08/6.52 tff(19796,plain,
% 9.08/6.52 (~until5(s111)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19795, 19792])).
% 9.08/6.52 tff(19797,plain,
% 9.08/6.52 (~xuntil6(s110)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10454, 19796])).
% 9.08/6.52 tff(19798,plain,
% 9.08/6.52 (~always3(s110)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[8930, 19793])).
% 9.08/6.52 tff(19799,plain,
% 9.08/6.52 (~node4(s110)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10441, 22, 19798])).
% 9.08/6.52 tff(19800,plain,
% 9.08/6.52 (xuntil6(s110) | (~until5(s110))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10448, 36, 19799])).
% 9.08/6.52 tff(19801,plain,
% 9.08/6.52 (~until5(s110)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19800, 19797])).
% 9.08/6.52 tff(19802,plain,
% 9.08/6.52 (~xuntil6(s109)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10437, 19801])).
% 9.08/6.52 tff(19803,plain,
% 9.08/6.52 (~always3(s109)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[8942, 19798])).
% 9.08/6.52 tff(19804,plain,
% 9.08/6.52 (~node4(s109)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10424, 22, 19803])).
% 9.08/6.52 tff(19805,plain,
% 9.08/6.52 (xuntil6(s109) | (~until5(s109))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10431, 36, 19804])).
% 9.08/6.52 tff(19806,plain,
% 9.08/6.52 (~until5(s109)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19805, 19802])).
% 9.08/6.52 tff(19807,plain,
% 9.08/6.52 (~xuntil6(s108)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10420, 19806])).
% 9.08/6.52 tff(19808,plain,
% 9.08/6.52 (~always3(s108)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[8954, 19803])).
% 9.08/6.52 tff(19809,plain,
% 9.08/6.52 (~node4(s108)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10407, 22, 19808])).
% 9.08/6.52 tff(19810,plain,
% 9.08/6.52 (xuntil6(s108) | (~until5(s108))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10414, 36, 19809])).
% 9.08/6.52 tff(19811,plain,
% 9.08/6.52 (~until5(s108)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19810, 19807])).
% 9.08/6.52 tff(19812,plain,
% 9.08/6.52 (~xuntil6(s107)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10403, 19811])).
% 9.08/6.52 tff(19813,plain,
% 9.08/6.52 (~always3(s107)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[8966, 19808])).
% 9.08/6.52 tff(19814,plain,
% 9.08/6.52 (~node4(s107)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10390, 22, 19813])).
% 9.08/6.52 tff(19815,plain,
% 9.08/6.52 (xuntil6(s107) | (~until5(s107))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10397, 36, 19814])).
% 9.08/6.52 tff(19816,plain,
% 9.08/6.52 (~until5(s107)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19815, 19812])).
% 9.08/6.52 tff(19817,plain,
% 9.08/6.52 (~xuntil6(s106)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10386, 19816])).
% 9.08/6.52 tff(19818,plain,
% 9.08/6.52 (~always3(s106)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[8978, 19813])).
% 9.08/6.52 tff(19819,plain,
% 9.08/6.52 (~node4(s106)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10373, 22, 19818])).
% 9.08/6.52 tff(19820,plain,
% 9.08/6.52 (xuntil6(s106) | (~until5(s106))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10380, 36, 19819])).
% 9.08/6.52 tff(19821,plain,
% 9.08/6.52 (~until5(s106)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19820, 19817])).
% 9.08/6.52 tff(19822,plain,
% 9.08/6.52 (~xuntil6(s105)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10369, 19821])).
% 9.08/6.52 tff(19823,plain,
% 9.08/6.52 (~always3(s105)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[8990, 19818])).
% 9.08/6.52 tff(19824,plain,
% 9.08/6.52 (~node4(s105)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10356, 22, 19823])).
% 9.08/6.52 tff(19825,plain,
% 9.08/6.52 (xuntil6(s105) | (~until5(s105))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10363, 36, 19824])).
% 9.08/6.52 tff(19826,plain,
% 9.08/6.52 (~until5(s105)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19825, 19822])).
% 9.08/6.52 tff(19827,plain,
% 9.08/6.52 (~xuntil6(s104)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10352, 19826])).
% 9.08/6.52 tff(19828,plain,
% 9.08/6.52 (~always3(s104)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9002, 19823])).
% 9.08/6.52 tff(19829,plain,
% 9.08/6.52 (~node4(s104)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10339, 22, 19828])).
% 9.08/6.52 tff(19830,plain,
% 9.08/6.52 (xuntil6(s104) | (~until5(s104))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10346, 36, 19829])).
% 9.08/6.52 tff(19831,plain,
% 9.08/6.52 (~until5(s104)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19830, 19827])).
% 9.08/6.52 tff(19832,plain,
% 9.08/6.52 (~xuntil6(s103)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10335, 19831])).
% 9.08/6.52 tff(19833,plain,
% 9.08/6.52 (~always3(s103)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9014, 19828])).
% 9.08/6.52 tff(19834,plain,
% 9.08/6.52 (~node4(s103)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10322, 22, 19833])).
% 9.08/6.52 tff(19835,plain,
% 9.08/6.52 (xuntil6(s103) | (~until5(s103))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10329, 36, 19834])).
% 9.08/6.52 tff(19836,plain,
% 9.08/6.52 (~until5(s103)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19835, 19832])).
% 9.08/6.52 tff(19837,plain,
% 9.08/6.52 (~xuntil6(s102)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10318, 19836])).
% 9.08/6.52 tff(19838,plain,
% 9.08/6.52 (~always3(s102)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9026, 19833])).
% 9.08/6.52 tff(19839,plain,
% 9.08/6.52 (~node4(s102)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10305, 22, 19838])).
% 9.08/6.52 tff(19840,plain,
% 9.08/6.52 (xuntil6(s102) | (~until5(s102))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10312, 36, 19839])).
% 9.08/6.52 tff(19841,plain,
% 9.08/6.52 (~until5(s102)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19840, 19837])).
% 9.08/6.52 tff(19842,plain,
% 9.08/6.52 (~xuntil6(s101)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10301, 19841])).
% 9.08/6.52 tff(19843,plain,
% 9.08/6.52 (~always3(s101)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9038, 19838])).
% 9.08/6.52 tff(19844,plain,
% 9.08/6.52 (~node4(s101)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10288, 22, 19843])).
% 9.08/6.52 tff(19845,plain,
% 9.08/6.52 (xuntil6(s101) | (~until5(s101))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10295, 36, 19844])).
% 9.08/6.52 tff(19846,plain,
% 9.08/6.52 (~until5(s101)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19845, 19842])).
% 9.08/6.52 tff(19847,plain,
% 9.08/6.52 (~xuntil6(s100)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10284, 19846])).
% 9.08/6.52 tff(19848,plain,
% 9.08/6.52 (~always3(s100)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9050, 19843])).
% 9.08/6.52 tff(19849,plain,
% 9.08/6.52 (~node4(s100)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10271, 22, 19848])).
% 9.08/6.52 tff(19850,plain,
% 9.08/6.52 (xuntil6(s100) | (~until5(s100))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10278, 36, 19849])).
% 9.08/6.52 tff(19851,plain,
% 9.08/6.52 (~until5(s100)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19850, 19847])).
% 9.08/6.52 tff(19852,plain,
% 9.08/6.52 (~xuntil6(s99)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10267, 19851])).
% 9.08/6.52 tff(19853,plain,
% 9.08/6.52 (~always3(s99)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9062, 19848])).
% 9.08/6.52 tff(19854,plain,
% 9.08/6.52 (~node4(s99)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10254, 22, 19853])).
% 9.08/6.52 tff(19855,plain,
% 9.08/6.52 (xuntil6(s99) | (~until5(s99))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10261, 36, 19854])).
% 9.08/6.52 tff(19856,plain,
% 9.08/6.52 (~until5(s99)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19855, 19852])).
% 9.08/6.52 tff(19857,plain,
% 9.08/6.52 (~xuntil6(s98)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10250, 19856])).
% 9.08/6.52 tff(19858,plain,
% 9.08/6.52 (~always3(s98)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9074, 19853])).
% 9.08/6.52 tff(19859,plain,
% 9.08/6.52 (~node4(s98)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10237, 22, 19858])).
% 9.08/6.52 tff(19860,plain,
% 9.08/6.52 (xuntil6(s98) | (~until5(s98))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10244, 36, 19859])).
% 9.08/6.52 tff(19861,plain,
% 9.08/6.52 (~until5(s98)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19860, 19857])).
% 9.08/6.52 tff(19862,plain,
% 9.08/6.52 (~xuntil6(s97)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10233, 19861])).
% 9.08/6.52 tff(19863,plain,
% 9.08/6.52 (~always3(s97)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9086, 19858])).
% 9.08/6.52 tff(19864,plain,
% 9.08/6.52 (~node4(s97)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10220, 22, 19863])).
% 9.08/6.52 tff(19865,plain,
% 9.08/6.52 (xuntil6(s97) | (~until5(s97))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10227, 36, 19864])).
% 9.08/6.52 tff(19866,plain,
% 9.08/6.52 (~until5(s97)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19865, 19862])).
% 9.08/6.52 tff(19867,plain,
% 9.08/6.52 (~xuntil6(s96)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10216, 19866])).
% 9.08/6.52 tff(19868,plain,
% 9.08/6.52 (~always3(s96)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9098, 19863])).
% 9.08/6.52 tff(19869,plain,
% 9.08/6.52 (~node4(s96)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10203, 22, 19868])).
% 9.08/6.52 tff(19870,plain,
% 9.08/6.52 (xuntil6(s96) | (~until5(s96))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10210, 36, 19869])).
% 9.08/6.52 tff(19871,plain,
% 9.08/6.52 (~until5(s96)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19870, 19867])).
% 9.08/6.52 tff(19872,plain,
% 9.08/6.52 (~xuntil6(s95)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10199, 19871])).
% 9.08/6.52 tff(19873,plain,
% 9.08/6.52 (~always3(s95)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9110, 19868])).
% 9.08/6.52 tff(19874,plain,
% 9.08/6.52 (~node4(s95)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10186, 22, 19873])).
% 9.08/6.52 tff(19875,plain,
% 9.08/6.52 (xuntil6(s95) | (~until5(s95))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10193, 36, 19874])).
% 9.08/6.52 tff(19876,plain,
% 9.08/6.52 (~until5(s95)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19875, 19872])).
% 9.08/6.52 tff(19877,plain,
% 9.08/6.52 (~xuntil6(s94)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10182, 19876])).
% 9.08/6.52 tff(19878,plain,
% 9.08/6.52 (~always3(s94)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9122, 19873])).
% 9.08/6.52 tff(19879,plain,
% 9.08/6.52 (~node4(s94)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10169, 22, 19878])).
% 9.08/6.52 tff(19880,plain,
% 9.08/6.52 (xuntil6(s94) | (~until5(s94))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10176, 36, 19879])).
% 9.08/6.52 tff(19881,plain,
% 9.08/6.52 (~until5(s94)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19880, 19877])).
% 9.08/6.52 tff(19882,plain,
% 9.08/6.52 (~xuntil6(s93)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10165, 19881])).
% 9.08/6.52 tff(19883,plain,
% 9.08/6.52 (~always3(s93)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9134, 19878])).
% 9.08/6.52 tff(19884,plain,
% 9.08/6.52 (~node4(s93)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10152, 22, 19883])).
% 9.08/6.52 tff(19885,plain,
% 9.08/6.52 (xuntil6(s93) | (~until5(s93))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10159, 36, 19884])).
% 9.08/6.52 tff(19886,plain,
% 9.08/6.52 (~until5(s93)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19885, 19882])).
% 9.08/6.52 tff(19887,plain,
% 9.08/6.52 (~xuntil6(s92)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10148, 19886])).
% 9.08/6.52 tff(19888,plain,
% 9.08/6.52 (~always3(s92)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9146, 19883])).
% 9.08/6.52 tff(19889,plain,
% 9.08/6.52 (~node4(s92)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10135, 22, 19888])).
% 9.08/6.52 tff(19890,plain,
% 9.08/6.52 (xuntil6(s92) | (~until5(s92))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10142, 36, 19889])).
% 9.08/6.52 tff(19891,plain,
% 9.08/6.52 (~until5(s92)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19890, 19887])).
% 9.08/6.52 tff(19892,plain,
% 9.08/6.52 (~xuntil6(s91)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10131, 19891])).
% 9.08/6.52 tff(19893,plain,
% 9.08/6.52 (~always3(s91)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9158, 19888])).
% 9.08/6.52 tff(19894,plain,
% 9.08/6.52 (~node4(s91)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10118, 22, 19893])).
% 9.08/6.52 tff(19895,plain,
% 9.08/6.52 (xuntil6(s91) | (~until5(s91))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10125, 36, 19894])).
% 9.08/6.52 tff(19896,plain,
% 9.08/6.52 (~until5(s91)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19895, 19892])).
% 9.08/6.52 tff(19897,plain,
% 9.08/6.52 (~xuntil6(s90)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10114, 19896])).
% 9.08/6.52 tff(19898,plain,
% 9.08/6.52 (~always3(s90)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9170, 19893])).
% 9.08/6.52 tff(19899,plain,
% 9.08/6.52 (~node4(s90)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10101, 22, 19898])).
% 9.08/6.52 tff(19900,plain,
% 9.08/6.52 (xuntil6(s90) | (~until5(s90))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10108, 36, 19899])).
% 9.08/6.52 tff(19901,plain,
% 9.08/6.52 (~until5(s90)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19900, 19897])).
% 9.08/6.52 tff(19902,plain,
% 9.08/6.52 (~xuntil6(s89)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10097, 19901])).
% 9.08/6.52 tff(19903,plain,
% 9.08/6.52 (~always3(s89)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9182, 19898])).
% 9.08/6.52 tff(19904,plain,
% 9.08/6.52 (~node4(s89)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10084, 22, 19903])).
% 9.08/6.52 tff(19905,plain,
% 9.08/6.52 (xuntil6(s89) | (~until5(s89))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10091, 36, 19904])).
% 9.08/6.52 tff(19906,plain,
% 9.08/6.52 (~until5(s89)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19905, 19902])).
% 9.08/6.52 tff(19907,plain,
% 9.08/6.52 (~xuntil6(s88)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10080, 19906])).
% 9.08/6.52 tff(19908,plain,
% 9.08/6.52 (~always3(s88)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9194, 19903])).
% 9.08/6.52 tff(19909,plain,
% 9.08/6.52 (~node4(s88)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10067, 22, 19908])).
% 9.08/6.52 tff(19910,plain,
% 9.08/6.52 (xuntil6(s88) | (~until5(s88))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10074, 36, 19909])).
% 9.08/6.52 tff(19911,plain,
% 9.08/6.52 (~until5(s88)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19910, 19907])).
% 9.08/6.52 tff(19912,plain,
% 9.08/6.52 (~xuntil6(s87)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10063, 19911])).
% 9.08/6.52 tff(19913,plain,
% 9.08/6.52 (~always3(s87)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9206, 19908])).
% 9.08/6.52 tff(19914,plain,
% 9.08/6.52 (~node4(s87)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10050, 22, 19913])).
% 9.08/6.52 tff(19915,plain,
% 9.08/6.52 (xuntil6(s87) | (~until5(s87))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10057, 36, 19914])).
% 9.08/6.52 tff(19916,plain,
% 9.08/6.52 (~until5(s87)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19915, 19912])).
% 9.08/6.52 tff(19917,plain,
% 9.08/6.52 (~xuntil6(s86)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10046, 19916])).
% 9.08/6.52 tff(19918,plain,
% 9.08/6.52 (~always3(s86)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9218, 19913])).
% 9.08/6.52 tff(19919,plain,
% 9.08/6.52 (~node4(s86)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10033, 22, 19918])).
% 9.08/6.52 tff(19920,plain,
% 9.08/6.52 (xuntil6(s86) | (~until5(s86))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10040, 36, 19919])).
% 9.08/6.52 tff(19921,plain,
% 9.08/6.52 (~until5(s86)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19920, 19917])).
% 9.08/6.52 tff(19922,plain,
% 9.08/6.52 (~xuntil6(s85)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10029, 19921])).
% 9.08/6.52 tff(19923,plain,
% 9.08/6.52 (~always3(s85)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9230, 19918])).
% 9.08/6.52 tff(19924,plain,
% 9.08/6.52 (~node4(s85)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10016, 22, 19923])).
% 9.08/6.52 tff(19925,plain,
% 9.08/6.52 (xuntil6(s85) | (~until5(s85))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10023, 36, 19924])).
% 9.08/6.52 tff(19926,plain,
% 9.08/6.52 (~until5(s85)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19925, 19922])).
% 9.08/6.52 tff(19927,plain,
% 9.08/6.52 (~xuntil6(s84)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10012, 19926])).
% 9.08/6.52 tff(19928,plain,
% 9.08/6.52 (~always3(s84)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9242, 19923])).
% 9.08/6.52 tff(19929,plain,
% 9.08/6.52 (~node4(s84)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9999, 22, 19928])).
% 9.08/6.52 tff(19930,plain,
% 9.08/6.52 (xuntil6(s84) | (~until5(s84))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[10006, 36, 19929])).
% 9.08/6.52 tff(19931,plain,
% 9.08/6.52 (~until5(s84)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19930, 19927])).
% 9.08/6.52 tff(19932,plain,
% 9.08/6.52 (~xuntil6(s83)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9995, 19931])).
% 9.08/6.52 tff(19933,plain,
% 9.08/6.52 (~always3(s83)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9254, 19928])).
% 9.08/6.52 tff(19934,plain,
% 9.08/6.52 (~node4(s83)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9982, 22, 19933])).
% 9.08/6.52 tff(19935,plain,
% 9.08/6.52 (xuntil6(s83) | (~until5(s83))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9989, 36, 19934])).
% 9.08/6.52 tff(19936,plain,
% 9.08/6.52 (~until5(s83)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19935, 19932])).
% 9.08/6.52 tff(19937,plain,
% 9.08/6.52 (~xuntil6(s82)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9978, 19936])).
% 9.08/6.52 tff(19938,plain,
% 9.08/6.52 (~always3(s82)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9266, 19933])).
% 9.08/6.52 tff(19939,plain,
% 9.08/6.52 (~node4(s82)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9965, 22, 19938])).
% 9.08/6.52 tff(19940,plain,
% 9.08/6.52 (xuntil6(s82) | (~until5(s82))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9972, 36, 19939])).
% 9.08/6.52 tff(19941,plain,
% 9.08/6.52 (~until5(s82)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19940, 19937])).
% 9.08/6.52 tff(19942,plain,
% 9.08/6.52 (~xuntil6(s81)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9961, 19941])).
% 9.08/6.52 tff(19943,plain,
% 9.08/6.52 (~always3(s81)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9278, 19938])).
% 9.08/6.52 tff(19944,plain,
% 9.08/6.52 (~node4(s81)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9948, 22, 19943])).
% 9.08/6.52 tff(19945,plain,
% 9.08/6.52 (xuntil6(s81) | (~until5(s81))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9955, 36, 19944])).
% 9.08/6.52 tff(19946,plain,
% 9.08/6.52 (~until5(s81)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19945, 19942])).
% 9.08/6.52 tff(19947,plain,
% 9.08/6.52 (~xuntil6(s80)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9944, 19946])).
% 9.08/6.52 tff(19948,plain,
% 9.08/6.52 (~always3(s80)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9290, 19943])).
% 9.08/6.52 tff(19949,plain,
% 9.08/6.52 (~always3(s79)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9302, 19948])).
% 9.08/6.52 tff(19950,plain,
% 9.08/6.52 (~always3(s78)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9314, 19949])).
% 9.08/6.52 tff(19951,plain,
% 9.08/6.52 (~always3(s77)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9326, 19950])).
% 9.08/6.52 tff(19952,plain,
% 9.08/6.52 (~always3(s76)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9338, 19951])).
% 9.08/6.52 tff(19953,plain,
% 9.08/6.52 (~always3(s75)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9350, 19952])).
% 9.08/6.52 tff(19954,plain,
% 9.08/6.52 (~always3(s74)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9362, 19953])).
% 9.08/6.52 tff(19955,plain,
% 9.08/6.52 (~always3(s73)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9374, 19954])).
% 9.08/6.52 tff(19956,plain,
% 9.08/6.52 (~always3(s72)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9386, 19955])).
% 9.08/6.52 tff(19957,plain,
% 9.08/6.52 (~always3(s71)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9398, 19956])).
% 9.08/6.52 tff(19958,plain,
% 9.08/6.52 (~always3(s70)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9410, 19957])).
% 9.08/6.52 tff(19959,plain,
% 9.08/6.52 (~always3(s69)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9422, 19958])).
% 9.08/6.52 tff(19960,plain,
% 9.08/6.52 (~always3(s68)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9434, 19959])).
% 9.08/6.52 tff(19961,plain,
% 9.08/6.52 (~always3(s67)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9446, 19960])).
% 9.08/6.52 tff(19962,plain,
% 9.08/6.52 (~always3(s66)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9458, 19961])).
% 9.08/6.52 tff(19963,plain,
% 9.08/6.52 (~always3(s65)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9470, 19962])).
% 9.08/6.52 tff(19964,plain,
% 9.08/6.52 (~always3(s64)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9482, 19963])).
% 9.08/6.52 tff(19965,plain,
% 9.08/6.52 (~always3(s63)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9494, 19964])).
% 9.08/6.52 tff(19966,plain,
% 9.08/6.52 (~always3(s62)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9506, 19965])).
% 9.08/6.52 tff(19967,plain,
% 9.08/6.52 (~always3(s61)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9518, 19966])).
% 9.08/6.52 tff(19968,plain,
% 9.08/6.52 (~always3(s60)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9530, 19967])).
% 9.08/6.52 tff(19969,plain,
% 9.08/6.52 (~always3(s59)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9542, 19968])).
% 9.08/6.52 tff(19970,plain,
% 9.08/6.52 (~always3(s58)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[9558, 19969])).
% 9.08/6.52 tff(19971,plain,
% 9.08/6.52 (~always3(s57)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[5004, 19970])).
% 9.08/6.52 tff(19972,plain,
% 9.08/6.52 (~always3(s56)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[4870, 19971])).
% 9.08/6.52 tff(19973,plain,
% 9.08/6.52 (~always3(s55)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[4750, 19972])).
% 9.08/6.52 tff(19974,plain,
% 9.08/6.52 (~always3(s54)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[4602, 19973])).
% 9.08/6.52 tff(19975,plain,
% 9.08/6.52 (~always3(s53)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[4647, 19974])).
% 9.08/6.52 tff(19976,plain,
% 9.08/6.52 (~always3(s52)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[4521, 19975])).
% 9.08/6.52 tff(19977,plain,
% 9.08/6.52 (~always3(s51)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[4412, 19976])).
% 9.08/6.52 tff(19978,plain,
% 9.08/6.52 (~always3(s50)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[4363, 19977])).
% 9.08/6.52 tff(19979,plain,
% 9.08/6.52 (~always3(s49)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3944, 19978])).
% 9.08/6.52 tff(19980,plain,
% 9.08/6.52 (~always3(s48)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3754, 19979])).
% 9.08/6.52 tff(19981,plain,
% 9.08/6.52 (~always3(s47)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3799, 19980])).
% 9.08/6.52 tff(19982,plain,
% 9.08/6.52 (~always3(s46)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3828, 19981])).
% 9.08/6.52 tff(19983,plain,
% 9.08/6.52 (~always3(s45)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3857, 19982])).
% 9.08/6.52 tff(19984,plain,
% 9.08/6.52 (~always3(s44)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3886, 19983])).
% 9.08/6.52 tff(19985,plain,
% 9.08/6.52 (~always3(s43)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3705, 19984])).
% 9.08/6.52 tff(19986,plain,
% 9.08/6.52 (~always3(s42)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3618, 19985])).
% 9.08/6.52 tff(19987,plain,
% 9.08/6.52 (~always3(s41)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3559, 19986])).
% 9.08/6.52 tff(19988,plain,
% 9.08/6.52 (~always3(s40)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3474, 19987])).
% 9.08/6.52 tff(19989,plain,
% 9.08/6.52 (~always3(s39)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3424, 19988])).
% 9.08/6.52 tff(19990,plain,
% 9.08/6.52 (~node4(s39)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3428, 22, 19989])).
% 9.08/6.52 tff(19991,plain,
% 9.08/6.52 (~always3(s38)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3233, 19989])).
% 9.08/6.52 tff(19992,plain,
% 9.08/6.52 (~node4(s38)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3219, 22, 19991])).
% 9.08/6.52 tff(19993,plain,
% 9.08/6.52 (~always3(s37)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[2932, 19991])).
% 9.08/6.52 tff(19994,plain,
% 9.08/6.52 (xuntil6(s37)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3202, 19993])).
% 9.08/6.52 tff(19995,plain,
% 9.08/6.52 (until5(s38)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3207, 19994])).
% 9.08/6.52 tff(19996,plain,
% 9.08/6.52 (xuntil6(s38) | node4(s38)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3214, 36, 19995])).
% 9.08/6.52 tff(19997,plain,
% 9.08/6.52 (xuntil6(s38)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[19996, 19992])).
% 9.08/6.52 tff(19998,plain,
% 9.08/6.52 (until5(s39)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3410, 19997])).
% 9.08/6.52 tff(19999,plain,
% 9.08/6.52 (xuntil6(s39)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3460, 36, 19998, 19990])).
% 9.08/6.52 tff(20000,plain,
% 9.08/6.52 (until5(s40)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3445, 19999])).
% 9.08/6.52 tff(20001,plain,
% 9.08/6.52 (~node4(s40)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3432, 22, 19988])).
% 9.08/6.52 tff(20002,plain,
% 9.08/6.52 (xuntil6(s40) | (~until5(s40))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3439, 36, 20001])).
% 9.08/6.52 tff(20003,plain,
% 9.08/6.52 (xuntil6(s40)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[20002, 20000])).
% 9.08/6.52 tff(20004,plain,
% 9.08/6.52 (until5(s41)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3545, 20003])).
% 9.08/6.52 tff(20005,plain,
% 9.08/6.52 (~node4(s41)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3563, 22, 19987])).
% 9.08/6.52 tff(20006,plain,
% 9.08/6.52 (xuntil6(s41) | (~until5(s41))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3587, 36, 20005])).
% 9.08/6.52 tff(20007,plain,
% 9.08/6.52 (xuntil6(s41)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[20006, 20004])).
% 9.08/6.52 tff(20008,plain,
% 9.08/6.52 (until5(s42)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3580, 20007])).
% 9.08/6.52 tff(20009,plain,
% 9.08/6.52 (~node4(s42)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3567, 22, 19986])).
% 9.08/6.52 tff(20010,plain,
% 9.08/6.52 (xuntil6(s42) | (~until5(s42))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3574, 36, 20009])).
% 9.08/6.52 tff(20011,plain,
% 9.08/6.52 (xuntil6(s42)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[20010, 20008])).
% 9.08/6.52 tff(20012,plain,
% 9.08/6.52 (until5(s43)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3684, 20011])).
% 9.08/6.52 tff(20013,plain,
% 9.08/6.52 (~node4(s43)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3693, 22, 19985])).
% 9.08/6.52 tff(20014,plain,
% 9.08/6.52 (xuntil6(s43) | (~until5(s43))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3734, 36, 20013])).
% 9.08/6.52 tff(20015,plain,
% 9.08/6.52 (xuntil6(s43)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[20014, 20012])).
% 9.08/6.52 tff(20016,plain,
% 9.08/6.52 (until5(s44)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3740, 20015])).
% 9.08/6.52 tff(20017,plain,
% 9.08/6.52 (~node4(s44)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3890, 22, 19984])).
% 9.08/6.52 tff(20018,plain,
% 9.08/6.52 (xuntil6(s44) | (~until5(s44))),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3897, 36, 20017])).
% 9.08/6.52 tff(20019,plain,
% 9.08/6.52 (xuntil6(s44)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[20018, 20016])).
% 9.08/6.52 tff(20020,plain,
% 9.08/6.52 (until5(s45)),
% 9.08/6.52 inference(unit_resolution,[status(thm)],[3877, 20019])).
% 9.08/6.53 tff(20021,plain,
% 9.08/6.53 (~node4(s45)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3861, 22, 19983])).
% 9.08/6.53 tff(20022,plain,
% 9.08/6.53 (xuntil6(s45) | (~until5(s45))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3868, 36, 20021])).
% 9.08/6.53 tff(20023,plain,
% 9.08/6.53 (xuntil6(s45)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20022, 20020])).
% 9.08/6.53 tff(20024,plain,
% 9.08/6.53 (until5(s46)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3848, 20023])).
% 9.08/6.53 tff(20025,plain,
% 9.08/6.53 (~node4(s46)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3832, 22, 19982])).
% 9.08/6.53 tff(20026,plain,
% 9.08/6.53 (xuntil6(s46) | (~until5(s46))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3839, 36, 20025])).
% 9.08/6.53 tff(20027,plain,
% 9.08/6.53 (xuntil6(s46)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20026, 20024])).
% 9.08/6.53 tff(20028,plain,
% 9.08/6.53 (until5(s47)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3819, 20027])).
% 9.08/6.53 tff(20029,plain,
% 9.08/6.53 (~node4(s47)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3803, 22, 19981])).
% 9.08/6.53 tff(20030,plain,
% 9.08/6.53 (xuntil6(s47) | (~until5(s47))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3810, 36, 20029])).
% 9.08/6.53 tff(20031,plain,
% 9.08/6.53 (xuntil6(s47)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20030, 20028])).
% 9.08/6.53 tff(20032,plain,
% 9.08/6.53 (until5(s48)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3790, 20031])).
% 9.08/6.53 tff(20033,plain,
% 9.08/6.53 (~node4(s48)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3758, 22, 19980])).
% 9.08/6.53 tff(20034,plain,
% 9.08/6.53 (xuntil6(s48) | (~until5(s48))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3782, 36, 20033])).
% 9.08/6.53 tff(20035,plain,
% 9.08/6.53 (xuntil6(s48)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20034, 20032])).
% 9.08/6.53 tff(20036,plain,
% 9.08/6.53 (until5(s49)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3775, 20035])).
% 9.08/6.53 tff(20037,plain,
% 9.08/6.53 (~node4(s49)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3762, 22, 19979])).
% 9.08/6.53 tff(20038,plain,
% 9.08/6.53 (xuntil6(s49) | (~until5(s49))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3769, 36, 20037])).
% 9.08/6.53 tff(20039,plain,
% 9.08/6.53 (xuntil6(s49)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20038, 20036])).
% 9.08/6.53 tff(20040,plain,
% 9.08/6.53 (until5(s50)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4342, 20039])).
% 9.08/6.53 tff(20041,plain,
% 9.08/6.53 (~node4(s50)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4351, 22, 19978])).
% 9.08/6.53 tff(20042,plain,
% 9.08/6.53 (xuntil6(s50) | (~until5(s50))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4392, 36, 20041])).
% 9.08/6.53 tff(20043,plain,
% 9.08/6.53 (xuntil6(s50)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20042, 20040])).
% 9.08/6.53 tff(20044,plain,
% 9.08/6.53 (until5(s51)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4398, 20043])).
% 9.08/6.53 tff(20045,plain,
% 9.08/6.53 (~node4(s51)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4416, 22, 19977])).
% 9.08/6.53 tff(20046,plain,
% 9.08/6.53 (xuntil6(s51) | (~until5(s51))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4440, 36, 20045])).
% 9.08/6.53 tff(20047,plain,
% 9.08/6.53 (xuntil6(s51)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20046, 20044])).
% 9.08/6.53 tff(20048,plain,
% 9.08/6.53 (until5(s52)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4433, 20047])).
% 9.08/6.53 tff(20049,plain,
% 9.08/6.53 (~node4(s52)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4420, 22, 19976])).
% 9.08/6.53 tff(20050,plain,
% 9.08/6.53 (xuntil6(s52) | (~until5(s52))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4427, 36, 20049])).
% 9.08/6.53 tff(20051,plain,
% 9.08/6.53 (xuntil6(s52)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20050, 20048])).
% 9.08/6.53 tff(20052,plain,
% 9.08/6.53 (until5(s53)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4587, 20051])).
% 9.08/6.53 tff(20053,plain,
% 9.08/6.53 (~node4(s53)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4651, 22, 19975])).
% 9.08/6.53 tff(20054,plain,
% 9.08/6.53 (xuntil6(s53) | (~until5(s53))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4658, 36, 20053])).
% 9.08/6.53 tff(20055,plain,
% 9.08/6.53 (xuntil6(s53)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20054, 20052])).
% 9.08/6.53 tff(20056,plain,
% 9.08/6.53 (until5(s54)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4638, 20055])).
% 9.08/6.53 tff(20057,plain,
% 9.08/6.53 (~node4(s54)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4606, 22, 19974])).
% 9.08/6.53 tff(20058,plain,
% 9.08/6.53 (xuntil6(s54) | (~until5(s54))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4630, 36, 20057])).
% 9.08/6.53 tff(20059,plain,
% 9.08/6.53 (xuntil6(s54)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20058, 20056])).
% 9.08/6.53 tff(20060,plain,
% 9.08/6.53 (until5(s55)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4623, 20059])).
% 9.08/6.53 tff(20061,plain,
% 9.08/6.53 (~node4(s55)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4610, 22, 19973])).
% 9.08/6.53 tff(20062,plain,
% 9.08/6.53 (xuntil6(s55) | (~until5(s55))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4617, 36, 20061])).
% 9.08/6.53 tff(20063,plain,
% 9.08/6.53 (xuntil6(s55)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20062, 20060])).
% 9.08/6.53 tff(20064,plain,
% 9.08/6.53 (until5(s56)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4856, 20063])).
% 9.08/6.53 tff(20065,plain,
% 9.08/6.53 (~node4(s56)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4874, 22, 19972])).
% 9.08/6.53 tff(20066,plain,
% 9.08/6.53 (xuntil6(s56) | (~until5(s56))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4898, 36, 20065])).
% 9.08/6.53 tff(20067,plain,
% 9.08/6.53 (xuntil6(s56)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20066, 20064])).
% 9.08/6.53 tff(20068,plain,
% 9.08/6.53 (until5(s57)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4891, 20067])).
% 9.08/6.53 tff(20069,plain,
% 9.08/6.53 (~node4(s57)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4878, 22, 19971])).
% 9.08/6.53 tff(20070,plain,
% 9.08/6.53 (xuntil6(s57) | (~until5(s57))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4885, 36, 20069])).
% 9.08/6.53 tff(20071,plain,
% 9.08/6.53 (xuntil6(s57)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20070, 20068])).
% 9.08/6.53 tff(20072,plain,
% 9.08/6.53 (until5(s58)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[5070, 20071])).
% 9.08/6.53 tff(20073,plain,
% 9.08/6.53 (~node4(s58)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9562, 22, 19970])).
% 9.08/6.53 tff(20074,plain,
% 9.08/6.53 (xuntil6(s58) | (~until5(s58))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9569, 36, 20073])).
% 9.08/6.53 tff(20075,plain,
% 9.08/6.53 (xuntil6(s58)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20074, 20072])).
% 9.08/6.53 tff(20076,plain,
% 9.08/6.53 (until5(s59)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9575, 20075])).
% 9.08/6.53 tff(20077,plain,
% 9.08/6.53 (~node4(s59)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9546, 22, 19969])).
% 9.08/6.53 tff(20078,plain,
% 9.08/6.53 (xuntil6(s59) | (~until5(s59))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9582, 36, 20077])).
% 9.08/6.53 tff(20079,plain,
% 9.08/6.53 (xuntil6(s59)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20078, 20076])).
% 9.08/6.53 tff(20080,plain,
% 9.08/6.53 (until5(s60)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9587, 20079])).
% 9.08/6.53 tff(20081,plain,
% 9.08/6.53 (~node4(s60)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9591, 22, 19968])).
% 9.08/6.53 tff(20082,plain,
% 9.08/6.53 (xuntil6(s60) | (~until5(s60))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9598, 36, 20081])).
% 9.08/6.53 tff(20083,plain,
% 9.08/6.53 (xuntil6(s60)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20082, 20080])).
% 9.08/6.53 tff(20084,plain,
% 9.08/6.53 (until5(s61)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9604, 20083])).
% 9.08/6.53 tff(20085,plain,
% 9.08/6.53 (~node4(s61)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9608, 22, 19967])).
% 9.08/6.53 tff(20086,plain,
% 9.08/6.53 (xuntil6(s61) | (~until5(s61))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9615, 36, 20085])).
% 9.08/6.53 tff(20087,plain,
% 9.08/6.53 (xuntil6(s61)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20086, 20084])).
% 9.08/6.53 tff(20088,plain,
% 9.08/6.53 (until5(s62)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9621, 20087])).
% 9.08/6.53 tff(20089,plain,
% 9.08/6.53 (~node4(s62)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9625, 22, 19966])).
% 9.08/6.53 tff(20090,plain,
% 9.08/6.53 (xuntil6(s62) | (~until5(s62))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9632, 36, 20089])).
% 9.08/6.53 tff(20091,plain,
% 9.08/6.53 (xuntil6(s62)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20090, 20088])).
% 9.08/6.53 tff(20092,plain,
% 9.08/6.53 (until5(s63)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9638, 20091])).
% 9.08/6.53 tff(20093,plain,
% 9.08/6.53 (~node4(s63)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9642, 22, 19965])).
% 9.08/6.53 tff(20094,plain,
% 9.08/6.53 (xuntil6(s63) | (~until5(s63))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9649, 36, 20093])).
% 9.08/6.53 tff(20095,plain,
% 9.08/6.53 (xuntil6(s63)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20094, 20092])).
% 9.08/6.53 tff(20096,plain,
% 9.08/6.53 (until5(s64)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9655, 20095])).
% 9.08/6.53 tff(20097,plain,
% 9.08/6.53 (~node4(s64)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9659, 22, 19964])).
% 9.08/6.53 tff(20098,plain,
% 9.08/6.53 (xuntil6(s64) | (~until5(s64))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9666, 36, 20097])).
% 9.08/6.53 tff(20099,plain,
% 9.08/6.53 (xuntil6(s64)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20098, 20096])).
% 9.08/6.53 tff(20100,plain,
% 9.08/6.53 (until5(s65)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9672, 20099])).
% 9.08/6.53 tff(20101,plain,
% 9.08/6.53 (~node4(s65)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9676, 22, 19963])).
% 9.08/6.53 tff(20102,plain,
% 9.08/6.53 (xuntil6(s65) | (~until5(s65))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9683, 36, 20101])).
% 9.08/6.53 tff(20103,plain,
% 9.08/6.53 (xuntil6(s65)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20102, 20100])).
% 9.08/6.53 tff(20104,plain,
% 9.08/6.53 (until5(s66)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9689, 20103])).
% 9.08/6.53 tff(20105,plain,
% 9.08/6.53 (~node4(s66)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9693, 22, 19962])).
% 9.08/6.53 tff(20106,plain,
% 9.08/6.53 (xuntil6(s66) | (~until5(s66))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9700, 36, 20105])).
% 9.08/6.53 tff(20107,plain,
% 9.08/6.53 (xuntil6(s66)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20106, 20104])).
% 9.08/6.53 tff(20108,plain,
% 9.08/6.53 (until5(s67)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9706, 20107])).
% 9.08/6.53 tff(20109,plain,
% 9.08/6.53 (~node4(s67)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9710, 22, 19961])).
% 9.08/6.53 tff(20110,plain,
% 9.08/6.53 (xuntil6(s67) | (~until5(s67))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9717, 36, 20109])).
% 9.08/6.53 tff(20111,plain,
% 9.08/6.53 (xuntil6(s67)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20110, 20108])).
% 9.08/6.53 tff(20112,plain,
% 9.08/6.53 (until5(s68)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9723, 20111])).
% 9.08/6.53 tff(20113,plain,
% 9.08/6.53 (~node4(s68)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9727, 22, 19960])).
% 9.08/6.53 tff(20114,plain,
% 9.08/6.53 (xuntil6(s68) | (~until5(s68))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9734, 36, 20113])).
% 9.08/6.53 tff(20115,plain,
% 9.08/6.53 (xuntil6(s68)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20114, 20112])).
% 9.08/6.53 tff(20116,plain,
% 9.08/6.53 (until5(s69)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9740, 20115])).
% 9.08/6.53 tff(20117,plain,
% 9.08/6.53 (~node4(s69)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9744, 22, 19959])).
% 9.08/6.53 tff(20118,plain,
% 9.08/6.53 (xuntil6(s69) | (~until5(s69))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9751, 36, 20117])).
% 9.08/6.53 tff(20119,plain,
% 9.08/6.53 (xuntil6(s69)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20118, 20116])).
% 9.08/6.53 tff(20120,plain,
% 9.08/6.53 (until5(s70)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9757, 20119])).
% 9.08/6.53 tff(20121,plain,
% 9.08/6.53 (~node4(s70)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9761, 22, 19958])).
% 9.08/6.53 tff(20122,plain,
% 9.08/6.53 (xuntil6(s70) | (~until5(s70))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9768, 36, 20121])).
% 9.08/6.53 tff(20123,plain,
% 9.08/6.53 (xuntil6(s70)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20122, 20120])).
% 9.08/6.53 tff(20124,plain,
% 9.08/6.53 (until5(s71)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9774, 20123])).
% 9.08/6.53 tff(20125,plain,
% 9.08/6.53 (~node4(s71)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9778, 22, 19957])).
% 9.08/6.53 tff(20126,plain,
% 9.08/6.53 (xuntil6(s71) | (~until5(s71))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9785, 36, 20125])).
% 9.08/6.53 tff(20127,plain,
% 9.08/6.53 (xuntil6(s71)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20126, 20124])).
% 9.08/6.53 tff(20128,plain,
% 9.08/6.53 (until5(s72)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9791, 20127])).
% 9.08/6.53 tff(20129,plain,
% 9.08/6.53 (~node4(s72)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9795, 22, 19956])).
% 9.08/6.53 tff(20130,plain,
% 9.08/6.53 (xuntil6(s72) | (~until5(s72))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9802, 36, 20129])).
% 9.08/6.53 tff(20131,plain,
% 9.08/6.53 (xuntil6(s72)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20130, 20128])).
% 9.08/6.53 tff(20132,plain,
% 9.08/6.53 (until5(s73)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9808, 20131])).
% 9.08/6.53 tff(20133,plain,
% 9.08/6.53 (~node4(s73)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9812, 22, 19955])).
% 9.08/6.53 tff(20134,plain,
% 9.08/6.53 (xuntil6(s73) | (~until5(s73))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9819, 36, 20133])).
% 9.08/6.53 tff(20135,plain,
% 9.08/6.53 (xuntil6(s73)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20134, 20132])).
% 9.08/6.53 tff(20136,plain,
% 9.08/6.53 (until5(s74)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9825, 20135])).
% 9.08/6.53 tff(20137,plain,
% 9.08/6.53 (~node4(s74)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9829, 22, 19954])).
% 9.08/6.53 tff(20138,plain,
% 9.08/6.53 (xuntil6(s74) | (~until5(s74))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9836, 36, 20137])).
% 9.08/6.53 tff(20139,plain,
% 9.08/6.53 (xuntil6(s74)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20138, 20136])).
% 9.08/6.53 tff(20140,plain,
% 9.08/6.53 (until5(s75)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9842, 20139])).
% 9.08/6.53 tff(20141,plain,
% 9.08/6.53 (~node4(s75)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9846, 22, 19953])).
% 9.08/6.53 tff(20142,plain,
% 9.08/6.53 (xuntil6(s75) | (~until5(s75))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9853, 36, 20141])).
% 9.08/6.53 tff(20143,plain,
% 9.08/6.53 (xuntil6(s75)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20142, 20140])).
% 9.08/6.53 tff(20144,plain,
% 9.08/6.53 (until5(s76)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9859, 20143])).
% 9.08/6.53 tff(20145,plain,
% 9.08/6.53 (~node4(s76)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9863, 22, 19952])).
% 9.08/6.53 tff(20146,plain,
% 9.08/6.53 (xuntil6(s76) | (~until5(s76))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9870, 36, 20145])).
% 9.08/6.53 tff(20147,plain,
% 9.08/6.53 (xuntil6(s76)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20146, 20144])).
% 9.08/6.53 tff(20148,plain,
% 9.08/6.53 (until5(s77)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9876, 20147])).
% 9.08/6.53 tff(20149,plain,
% 9.08/6.53 (~node4(s77)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9880, 22, 19951])).
% 9.08/6.53 tff(20150,plain,
% 9.08/6.53 (xuntil6(s77) | (~until5(s77))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9887, 36, 20149])).
% 9.08/6.53 tff(20151,plain,
% 9.08/6.53 (xuntil6(s77)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20150, 20148])).
% 9.08/6.53 tff(20152,plain,
% 9.08/6.53 (until5(s78)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9893, 20151])).
% 9.08/6.53 tff(20153,plain,
% 9.08/6.53 (~node4(s78)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9897, 22, 19950])).
% 9.08/6.53 tff(20154,plain,
% 9.08/6.53 (xuntil6(s78) | (~until5(s78))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9904, 36, 20153])).
% 9.08/6.53 tff(20155,plain,
% 9.08/6.53 (xuntil6(s78)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20154, 20152])).
% 9.08/6.53 tff(20156,plain,
% 9.08/6.53 (until5(s79)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9910, 20155])).
% 9.08/6.53 tff(20157,plain,
% 9.08/6.53 (~node4(s79)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9914, 22, 19949])).
% 9.08/6.53 tff(20158,plain,
% 9.08/6.53 (xuntil6(s79) | (~until5(s79))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9921, 36, 20157])).
% 9.08/6.53 tff(20159,plain,
% 9.08/6.53 (xuntil6(s79)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20158, 20156])).
% 9.08/6.53 tff(20160,plain,
% 9.08/6.53 (until5(s80)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9927, 20159])).
% 9.08/6.53 tff(20161,plain,
% 9.08/6.53 (~node4(s80)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9931, 22, 19948])).
% 9.08/6.53 tff(20162,plain,
% 9.08/6.53 (xuntil6(s80) | (~until5(s80))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9938, 36, 20161])).
% 9.08/6.53 tff(20163,plain,
% 9.08/6.53 ($false),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20162, 20160, 19947])).
% 9.08/6.53 tff(20164,plain,(always3(s122) | xuntil6(s122)), inference(lemma,lemma(discharge,[]))).
% 9.08/6.53 tff(20165,plain,
% 9.08/6.53 (always3(s122)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20164, 19738])).
% 9.08/6.53 tff(20166,plain,
% 9.08/6.53 (always3(s123)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[8786, 20165])).
% 9.08/6.53 tff(20167,plain,
% 9.08/6.53 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s123)) | (~m_main_v_state(s123, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s123)) | (~m_main_v_state(s123, c_busy)))),
% 9.08/6.53 inference(rewrite,[status(thm)],[])).
% 9.08/6.53 tff(20168,plain,
% 9.08/6.53 (((~m_main_v_state(s123, c_busy)) | (~always3(s123))) <=> ((~always3(s123)) | (~m_main_v_state(s123, c_busy)))),
% 9.08/6.53 inference(rewrite,[status(thm)],[])).
% 9.08/6.53 tff(20169,plain,
% 9.08/6.53 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s123, c_busy)) | (~always3(s123)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s123)) | (~m_main_v_state(s123, c_busy))))),
% 9.08/6.53 inference(monotonicity,[status(thm)],[20168])).
% 9.08/6.53 tff(20170,plain,
% 9.08/6.53 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s123, c_busy)) | (~always3(s123)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s123)) | (~m_main_v_state(s123, c_busy)))),
% 9.08/6.53 inference(transitivity,[status(thm)],[20169, 20167])).
% 9.08/6.53 tff(20171,plain,
% 9.08/6.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s123, c_busy)) | (~always3(s123)))),
% 9.08/6.53 inference(quant_inst,[status(thm)],[])).
% 9.08/6.53 tff(20172,plain,
% 9.08/6.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s123)) | (~m_main_v_state(s123, c_busy))),
% 9.08/6.53 inference(modus_ponens,[status(thm)],[20171, 20170])).
% 9.08/6.53 tff(20173,plain,
% 9.08/6.53 (~m_main_v_state(s123, c_busy)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20172, 170, 20166])).
% 9.08/6.53 tff(20174,plain,
% 9.08/6.53 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s122)) | (~m_main_v_state(s122, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s122)) | (~m_main_v_state(s122, c_busy)))),
% 9.08/6.53 inference(rewrite,[status(thm)],[])).
% 9.08/6.53 tff(20175,plain,
% 9.08/6.53 (((~m_main_v_state(s122, c_busy)) | (~always3(s122))) <=> ((~always3(s122)) | (~m_main_v_state(s122, c_busy)))),
% 9.08/6.53 inference(rewrite,[status(thm)],[])).
% 9.08/6.53 tff(20176,plain,
% 9.08/6.53 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s122, c_busy)) | (~always3(s122)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s122)) | (~m_main_v_state(s122, c_busy))))),
% 9.08/6.53 inference(monotonicity,[status(thm)],[20175])).
% 9.08/6.53 tff(20177,plain,
% 9.08/6.53 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s122, c_busy)) | (~always3(s122)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s122)) | (~m_main_v_state(s122, c_busy)))),
% 9.08/6.53 inference(transitivity,[status(thm)],[20176, 20174])).
% 9.08/6.53 tff(20178,plain,
% 9.08/6.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s122, c_busy)) | (~always3(s122)))),
% 9.08/6.53 inference(quant_inst,[status(thm)],[])).
% 9.08/6.53 tff(20179,plain,
% 9.08/6.53 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s122)) | (~m_main_v_state(s122, c_busy))),
% 9.08/6.53 inference(modus_ponens,[status(thm)],[20178, 20177])).
% 9.08/6.53 tff(20180,plain,
% 9.08/6.53 (~m_main_v_state(s122, c_busy)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20179, 170, 20165])).
% 9.08/6.53 tff(20181,plain,
% 9.08/6.53 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s122, c_busy) | m_main_v_state(s122, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s122, c_busy) | m_main_v_state(s122, c_ready))),
% 9.08/6.53 inference(rewrite,[status(thm)],[])).
% 9.08/6.53 tff(20182,plain,
% 9.08/6.53 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s122, c_busy) | m_main_v_state(s122, c_ready))),
% 9.08/6.53 inference(quant_inst,[status(thm)],[])).
% 9.08/6.53 tff(20183,plain,
% 9.08/6.53 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s122, c_busy) | m_main_v_state(s122, c_ready)),
% 9.08/6.53 inference(modus_ponens,[status(thm)],[20182, 20181])).
% 9.08/6.53 tff(20184,plain,
% 9.08/6.53 (m_main_v_state(s122, c_ready)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20183, 213, 20180])).
% 9.08/6.53 tff(20185,assumption,(~m_main_v_state(s122, c_busy)), introduced(assumption)).
% 9.08/6.53 tff(20186,assumption,(node4(s121)), introduced(assumption)).
% 9.08/6.53 tff(20187,plain,
% 9.08/6.53 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s121) | (~node4(s121)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s121) | (~node4(s121)))),
% 9.08/6.53 inference(rewrite,[status(thm)],[])).
% 9.08/6.53 tff(20188,plain,
% 9.08/6.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s121) | (~node4(s121)))),
% 9.08/6.53 inference(quant_inst,[status(thm)],[])).
% 9.08/6.53 tff(20189,plain,
% 9.08/6.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s121) | (~node4(s121))),
% 9.08/6.53 inference(modus_ponens,[status(thm)],[20188, 20187])).
% 9.08/6.53 tff(20190,plain,
% 9.08/6.53 (m_main_v_request(s121)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20189, 154, 20186])).
% 9.08/6.53 tff(20191,plain,
% 9.08/6.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s121, s122)) | node2(s121, s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s121, s122)) | node2(s121, s122))),
% 9.08/6.53 inference(rewrite,[status(thm)],[])).
% 9.08/6.53 tff(20192,plain,
% 9.08/6.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s121, s122)) | node2(s121, s122))),
% 9.08/6.53 inference(quant_inst,[status(thm)],[])).
% 9.08/6.53 tff(20193,plain,
% 9.08/6.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s121, s122)) | node2(s121, s122)),
% 9.08/6.53 inference(modus_ponens,[status(thm)],[20192, 20191])).
% 9.08/6.53 tff(20194,plain,
% 9.08/6.53 (node2(s121, s122)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20193, 7, 8794])).
% 9.08/6.53 tff(20195,plain,
% 9.08/6.53 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s121, c_ready)) | (~node2(s121, s122)) | m_main_v_state(s122, c_busy) | (~m_main_v_request(s121)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s121, c_ready)) | (~node2(s121, s122)) | m_main_v_state(s122, c_busy) | (~m_main_v_request(s121)))),
% 9.08/6.53 inference(rewrite,[status(thm)],[])).
% 9.08/6.53 tff(20196,plain,
% 9.08/6.53 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s121, c_ready)) | (~node2(s121, s122)) | m_main_v_state(s122, c_busy) | (~m_main_v_request(s121)))),
% 9.08/6.53 inference(quant_inst,[status(thm)],[])).
% 9.08/6.53 tff(20197,plain,
% 9.08/6.53 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s121, c_ready)) | (~node2(s121, s122)) | m_main_v_state(s122, c_busy) | (~m_main_v_request(s121))),
% 9.08/6.53 inference(modus_ponens,[status(thm)],[20196, 20195])).
% 9.08/6.53 tff(20198,plain,
% 9.08/6.53 ((~m_main_v_state(s121, c_ready)) | m_main_v_state(s122, c_busy) | (~m_main_v_request(s121))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20197, 191, 20194])).
% 9.08/6.53 tff(20199,plain,
% 9.08/6.53 (~m_main_v_state(s121, c_ready)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20198, 20190, 20185])).
% 9.08/6.53 tff(20200,plain,
% 9.08/6.53 (always3(s121)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10628, 22, 20186])).
% 9.08/6.53 tff(20201,plain,
% 9.08/6.53 (~m_main_v_state(s121, c_busy)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[19645, 170, 20200])).
% 9.08/6.53 tff(20202,plain,
% 9.08/6.53 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s121, c_busy) | m_main_v_state(s121, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s121, c_busy) | m_main_v_state(s121, c_ready))),
% 9.08/6.53 inference(rewrite,[status(thm)],[])).
% 9.08/6.53 tff(20203,plain,
% 9.08/6.53 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s121, c_busy) | m_main_v_state(s121, c_ready))),
% 9.08/6.53 inference(quant_inst,[status(thm)],[])).
% 9.08/6.53 tff(20204,plain,
% 9.08/6.53 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s121, c_busy) | m_main_v_state(s121, c_ready)),
% 9.08/6.53 inference(modus_ponens,[status(thm)],[20203, 20202])).
% 9.08/6.53 tff(20205,plain,
% 9.08/6.53 ($false),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20204, 213, 20201, 20199])).
% 9.08/6.53 tff(20206,plain,((~node4(s121)) | m_main_v_state(s122, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.08/6.53 tff(20207,plain,
% 9.08/6.53 (~node4(s121)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20206, 20180])).
% 9.08/6.53 tff(20208,assumption,(until5(s121)), introduced(assumption)).
% 9.08/6.53 tff(20209,plain,
% 9.08/6.53 (xuntil6(s121) | node4(s121)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10635, 36, 20208])).
% 9.08/6.53 tff(20210,plain,
% 9.08/6.53 (xuntil6(s121)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20209, 20207])).
% 9.08/6.53 tff(20211,plain,
% 9.08/6.53 (until5(s122)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10641, 20210])).
% 9.08/6.53 tff(20212,plain,
% 9.08/6.53 (node4(s122)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[19743, 20211])).
% 9.08/6.53 tff(20213,plain,
% 9.08/6.53 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s122) | (~node4(s122)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s122) | (~node4(s122)))),
% 9.08/6.53 inference(rewrite,[status(thm)],[])).
% 9.08/6.53 tff(20214,plain,
% 9.08/6.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s122) | (~node4(s122)))),
% 9.08/6.53 inference(quant_inst,[status(thm)],[])).
% 9.08/6.53 tff(20215,plain,
% 9.08/6.53 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s122) | (~node4(s122))),
% 9.08/6.53 inference(modus_ponens,[status(thm)],[20214, 20213])).
% 9.08/6.53 tff(20216,plain,
% 9.08/6.53 (m_main_v_request(s122)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20215, 154, 20212])).
% 9.08/6.53 tff(20217,plain,
% 9.08/6.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s122, s123)) | node2(s122, s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s122, s123)) | node2(s122, s123))),
% 9.08/6.53 inference(rewrite,[status(thm)],[])).
% 9.08/6.53 tff(20218,plain,
% 9.08/6.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s122, s123)) | node2(s122, s123))),
% 9.08/6.53 inference(quant_inst,[status(thm)],[])).
% 9.08/6.53 tff(20219,plain,
% 9.08/6.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s122, s123)) | node2(s122, s123)),
% 9.08/6.53 inference(modus_ponens,[status(thm)],[20218, 20217])).
% 9.08/6.53 tff(20220,plain,
% 9.08/6.53 (node2(s122, s123)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20219, 7, 8782])).
% 9.08/6.53 tff(20221,plain,
% 9.08/6.53 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s122, c_ready)) | (~node2(s122, s123)) | m_main_v_state(s123, c_busy) | (~m_main_v_request(s122)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s122, c_ready)) | (~node2(s122, s123)) | m_main_v_state(s123, c_busy) | (~m_main_v_request(s122)))),
% 9.08/6.53 inference(rewrite,[status(thm)],[])).
% 9.08/6.53 tff(20222,plain,
% 9.08/6.53 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s122, c_ready)) | (~node2(s122, s123)) | m_main_v_state(s123, c_busy) | (~m_main_v_request(s122)))),
% 9.08/6.53 inference(quant_inst,[status(thm)],[])).
% 9.08/6.53 tff(20223,plain,
% 9.08/6.53 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s122, c_ready)) | (~node2(s122, s123)) | m_main_v_state(s123, c_busy) | (~m_main_v_request(s122))),
% 9.08/6.53 inference(modus_ponens,[status(thm)],[20222, 20221])).
% 9.08/6.53 tff(20224,plain,
% 9.08/6.53 ((~m_main_v_state(s122, c_ready)) | m_main_v_state(s123, c_busy) | (~m_main_v_request(s122))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20223, 191, 20220])).
% 9.08/6.53 tff(20225,plain,
% 9.08/6.53 ($false),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20224, 20216, 20184, 20173])).
% 9.08/6.53 tff(20226,plain,(xuntil6(s122) | (~until5(s121))), inference(lemma,lemma(discharge,[]))).
% 9.08/6.53 tff(20227,plain,
% 9.08/6.53 (xuntil6(s122)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20226, 19737])).
% 9.08/6.53 tff(20228,plain,
% 9.08/6.53 (until5(s123)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10658, 20227])).
% 9.08/6.53 tff(20229,assumption,(~xuntil6(s124)), introduced(assumption)).
% 9.08/6.53 tff(20230,assumption,(~always3(s124)), introduced(assumption)).
% 9.08/6.53 tff(20231,plain,
% 9.08/6.53 (~always3(s123)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[8774, 20230])).
% 9.08/6.53 tff(20232,plain,
% 9.08/6.53 (~node4(s123)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10662, 22, 20231])).
% 9.08/6.53 tff(20233,plain,
% 9.08/6.53 (~node4(s124)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10679, 22, 20230])).
% 9.08/6.53 tff(20234,plain,
% 9.08/6.53 (node4(s124) | (~until5(s124))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10686, 36, 20229])).
% 9.08/6.53 tff(20235,plain,
% 9.08/6.53 (~until5(s124)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20234, 20233])).
% 9.08/6.53 tff(20236,plain,
% 9.08/6.53 (~xuntil6(s123)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10675, 20235])).
% 9.08/6.53 tff(20237,plain,
% 9.08/6.53 (~until5(s123)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10669, 36, 20236, 20232])).
% 9.08/6.53 tff(20238,plain,
% 9.08/6.53 (~xuntil6(s122)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10658, 20237])).
% 9.08/6.53 tff(20239,plain,
% 9.08/6.53 (~always3(s122)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[8786, 20231])).
% 9.08/6.53 tff(20240,plain,
% 9.08/6.53 (~node4(s122)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10645, 22, 20239])).
% 9.08/6.53 tff(20241,plain,
% 9.08/6.53 (xuntil6(s122) | (~until5(s122))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10652, 36, 20240])).
% 9.08/6.53 tff(20242,plain,
% 9.08/6.53 (~until5(s122)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20241, 20238])).
% 9.08/6.53 tff(20243,plain,
% 9.08/6.53 (~xuntil6(s121)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10641, 20242])).
% 9.08/6.53 tff(20244,plain,
% 9.08/6.53 (~always3(s121)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[8798, 20239])).
% 9.08/6.53 tff(20245,plain,
% 9.08/6.53 (~node4(s121)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10628, 22, 20244])).
% 9.08/6.53 tff(20246,plain,
% 9.08/6.53 (xuntil6(s121) | (~until5(s121))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10635, 36, 20245])).
% 9.08/6.53 tff(20247,plain,
% 9.08/6.53 (~until5(s121)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20246, 20243])).
% 9.08/6.53 tff(20248,plain,
% 9.08/6.53 (~xuntil6(s120)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10624, 20247])).
% 9.08/6.53 tff(20249,plain,
% 9.08/6.53 (~always3(s120)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[8810, 20244])).
% 9.08/6.53 tff(20250,plain,
% 9.08/6.53 (~node4(s120)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10611, 22, 20249])).
% 9.08/6.53 tff(20251,plain,
% 9.08/6.53 (xuntil6(s120) | (~until5(s120))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10618, 36, 20250])).
% 9.08/6.53 tff(20252,plain,
% 9.08/6.53 (~until5(s120)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20251, 20248])).
% 9.08/6.53 tff(20253,plain,
% 9.08/6.53 (~xuntil6(s119)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10607, 20252])).
% 9.08/6.53 tff(20254,plain,
% 9.08/6.53 (~always3(s119)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[8822, 20249])).
% 9.08/6.53 tff(20255,plain,
% 9.08/6.53 (~node4(s119)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10594, 22, 20254])).
% 9.08/6.53 tff(20256,plain,
% 9.08/6.53 (xuntil6(s119) | (~until5(s119))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10601, 36, 20255])).
% 9.08/6.53 tff(20257,plain,
% 9.08/6.53 (~until5(s119)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20256, 20253])).
% 9.08/6.53 tff(20258,plain,
% 9.08/6.53 (~xuntil6(s118)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10590, 20257])).
% 9.08/6.53 tff(20259,plain,
% 9.08/6.53 (~always3(s118)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[8834, 20254])).
% 9.08/6.53 tff(20260,plain,
% 9.08/6.53 (~node4(s118)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10577, 22, 20259])).
% 9.08/6.53 tff(20261,plain,
% 9.08/6.53 (xuntil6(s118) | (~until5(s118))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10584, 36, 20260])).
% 9.08/6.53 tff(20262,plain,
% 9.08/6.53 (~until5(s118)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20261, 20258])).
% 9.08/6.53 tff(20263,plain,
% 9.08/6.53 (~xuntil6(s117)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10573, 20262])).
% 9.08/6.53 tff(20264,plain,
% 9.08/6.53 (~always3(s117)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[8846, 20259])).
% 9.08/6.53 tff(20265,plain,
% 9.08/6.53 (~node4(s117)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10560, 22, 20264])).
% 9.08/6.53 tff(20266,plain,
% 9.08/6.53 (xuntil6(s117) | (~until5(s117))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10567, 36, 20265])).
% 9.08/6.53 tff(20267,plain,
% 9.08/6.53 (~until5(s117)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20266, 20263])).
% 9.08/6.53 tff(20268,plain,
% 9.08/6.53 (~xuntil6(s116)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10556, 20267])).
% 9.08/6.53 tff(20269,plain,
% 9.08/6.53 (~always3(s116)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[8858, 20264])).
% 9.08/6.53 tff(20270,plain,
% 9.08/6.53 (~node4(s116)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10543, 22, 20269])).
% 9.08/6.53 tff(20271,plain,
% 9.08/6.53 (xuntil6(s116) | (~until5(s116))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10550, 36, 20270])).
% 9.08/6.53 tff(20272,plain,
% 9.08/6.53 (~until5(s116)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20271, 20268])).
% 9.08/6.53 tff(20273,plain,
% 9.08/6.53 (~xuntil6(s115)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10539, 20272])).
% 9.08/6.53 tff(20274,plain,
% 9.08/6.53 (~always3(s115)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[8870, 20269])).
% 9.08/6.53 tff(20275,plain,
% 9.08/6.53 (~node4(s115)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10526, 22, 20274])).
% 9.08/6.53 tff(20276,plain,
% 9.08/6.53 (xuntil6(s115) | (~until5(s115))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10533, 36, 20275])).
% 9.08/6.53 tff(20277,plain,
% 9.08/6.53 (~until5(s115)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20276, 20273])).
% 9.08/6.53 tff(20278,plain,
% 9.08/6.53 (~xuntil6(s114)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10522, 20277])).
% 9.08/6.53 tff(20279,plain,
% 9.08/6.53 (~always3(s114)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[8882, 20274])).
% 9.08/6.53 tff(20280,plain,
% 9.08/6.53 (~node4(s114)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10509, 22, 20279])).
% 9.08/6.53 tff(20281,plain,
% 9.08/6.53 (xuntil6(s114) | (~until5(s114))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10516, 36, 20280])).
% 9.08/6.53 tff(20282,plain,
% 9.08/6.53 (~until5(s114)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20281, 20278])).
% 9.08/6.53 tff(20283,plain,
% 9.08/6.53 (~xuntil6(s113)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10505, 20282])).
% 9.08/6.53 tff(20284,plain,
% 9.08/6.53 (~always3(s113)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[8894, 20279])).
% 9.08/6.53 tff(20285,plain,
% 9.08/6.53 (~node4(s113)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10492, 22, 20284])).
% 9.08/6.53 tff(20286,plain,
% 9.08/6.53 (xuntil6(s113) | (~until5(s113))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10499, 36, 20285])).
% 9.08/6.53 tff(20287,plain,
% 9.08/6.53 (~until5(s113)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20286, 20283])).
% 9.08/6.53 tff(20288,plain,
% 9.08/6.53 (~xuntil6(s112)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10488, 20287])).
% 9.08/6.53 tff(20289,plain,
% 9.08/6.53 (~always3(s112)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[8906, 20284])).
% 9.08/6.53 tff(20290,plain,
% 9.08/6.53 (~node4(s112)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10475, 22, 20289])).
% 9.08/6.53 tff(20291,plain,
% 9.08/6.53 (xuntil6(s112) | (~until5(s112))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10482, 36, 20290])).
% 9.08/6.53 tff(20292,plain,
% 9.08/6.53 (~until5(s112)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20291, 20288])).
% 9.08/6.53 tff(20293,plain,
% 9.08/6.53 (~xuntil6(s111)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10471, 20292])).
% 9.08/6.53 tff(20294,plain,
% 9.08/6.53 (~always3(s111)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[8918, 20289])).
% 9.08/6.53 tff(20295,plain,
% 9.08/6.53 (~node4(s111)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10458, 22, 20294])).
% 9.08/6.53 tff(20296,plain,
% 9.08/6.53 (xuntil6(s111) | (~until5(s111))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10465, 36, 20295])).
% 9.08/6.53 tff(20297,plain,
% 9.08/6.53 (~until5(s111)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20296, 20293])).
% 9.08/6.53 tff(20298,plain,
% 9.08/6.53 (~xuntil6(s110)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10454, 20297])).
% 9.08/6.53 tff(20299,plain,
% 9.08/6.53 (~always3(s110)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[8930, 20294])).
% 9.08/6.53 tff(20300,plain,
% 9.08/6.53 (~node4(s110)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10441, 22, 20299])).
% 9.08/6.53 tff(20301,plain,
% 9.08/6.53 (xuntil6(s110) | (~until5(s110))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10448, 36, 20300])).
% 9.08/6.53 tff(20302,plain,
% 9.08/6.53 (~until5(s110)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20301, 20298])).
% 9.08/6.53 tff(20303,plain,
% 9.08/6.53 (~xuntil6(s109)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10437, 20302])).
% 9.08/6.53 tff(20304,plain,
% 9.08/6.53 (~always3(s109)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[8942, 20299])).
% 9.08/6.53 tff(20305,plain,
% 9.08/6.53 (~node4(s109)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10424, 22, 20304])).
% 9.08/6.53 tff(20306,plain,
% 9.08/6.53 (xuntil6(s109) | (~until5(s109))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10431, 36, 20305])).
% 9.08/6.53 tff(20307,plain,
% 9.08/6.53 (~until5(s109)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20306, 20303])).
% 9.08/6.53 tff(20308,plain,
% 9.08/6.53 (~xuntil6(s108)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10420, 20307])).
% 9.08/6.53 tff(20309,plain,
% 9.08/6.53 (~always3(s108)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[8954, 20304])).
% 9.08/6.53 tff(20310,plain,
% 9.08/6.53 (~node4(s108)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10407, 22, 20309])).
% 9.08/6.53 tff(20311,plain,
% 9.08/6.53 (xuntil6(s108) | (~until5(s108))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10414, 36, 20310])).
% 9.08/6.53 tff(20312,plain,
% 9.08/6.53 (~until5(s108)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20311, 20308])).
% 9.08/6.53 tff(20313,plain,
% 9.08/6.53 (~xuntil6(s107)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10403, 20312])).
% 9.08/6.53 tff(20314,plain,
% 9.08/6.53 (~always3(s107)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[8966, 20309])).
% 9.08/6.53 tff(20315,plain,
% 9.08/6.53 (~node4(s107)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10390, 22, 20314])).
% 9.08/6.53 tff(20316,plain,
% 9.08/6.53 (xuntil6(s107) | (~until5(s107))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10397, 36, 20315])).
% 9.08/6.53 tff(20317,plain,
% 9.08/6.53 (~until5(s107)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20316, 20313])).
% 9.08/6.53 tff(20318,plain,
% 9.08/6.53 (~xuntil6(s106)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10386, 20317])).
% 9.08/6.53 tff(20319,plain,
% 9.08/6.53 (~always3(s106)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[8978, 20314])).
% 9.08/6.53 tff(20320,plain,
% 9.08/6.53 (~node4(s106)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10373, 22, 20319])).
% 9.08/6.53 tff(20321,plain,
% 9.08/6.53 (xuntil6(s106) | (~until5(s106))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10380, 36, 20320])).
% 9.08/6.53 tff(20322,plain,
% 9.08/6.53 (~until5(s106)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20321, 20318])).
% 9.08/6.53 tff(20323,plain,
% 9.08/6.53 (~xuntil6(s105)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10369, 20322])).
% 9.08/6.53 tff(20324,plain,
% 9.08/6.53 (~always3(s105)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[8990, 20319])).
% 9.08/6.53 tff(20325,plain,
% 9.08/6.53 (~node4(s105)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10356, 22, 20324])).
% 9.08/6.53 tff(20326,plain,
% 9.08/6.53 (xuntil6(s105) | (~until5(s105))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10363, 36, 20325])).
% 9.08/6.53 tff(20327,plain,
% 9.08/6.53 (~until5(s105)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20326, 20323])).
% 9.08/6.53 tff(20328,plain,
% 9.08/6.53 (~xuntil6(s104)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10352, 20327])).
% 9.08/6.53 tff(20329,plain,
% 9.08/6.53 (~always3(s104)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9002, 20324])).
% 9.08/6.53 tff(20330,plain,
% 9.08/6.53 (~node4(s104)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10339, 22, 20329])).
% 9.08/6.53 tff(20331,plain,
% 9.08/6.53 (xuntil6(s104) | (~until5(s104))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10346, 36, 20330])).
% 9.08/6.53 tff(20332,plain,
% 9.08/6.53 (~until5(s104)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20331, 20328])).
% 9.08/6.53 tff(20333,plain,
% 9.08/6.53 (~xuntil6(s103)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10335, 20332])).
% 9.08/6.53 tff(20334,plain,
% 9.08/6.53 (~always3(s103)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9014, 20329])).
% 9.08/6.53 tff(20335,plain,
% 9.08/6.53 (~node4(s103)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10322, 22, 20334])).
% 9.08/6.53 tff(20336,plain,
% 9.08/6.53 (xuntil6(s103) | (~until5(s103))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10329, 36, 20335])).
% 9.08/6.53 tff(20337,plain,
% 9.08/6.53 (~until5(s103)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20336, 20333])).
% 9.08/6.53 tff(20338,plain,
% 9.08/6.53 (~xuntil6(s102)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10318, 20337])).
% 9.08/6.53 tff(20339,plain,
% 9.08/6.53 (~always3(s102)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9026, 20334])).
% 9.08/6.53 tff(20340,plain,
% 9.08/6.53 (~node4(s102)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10305, 22, 20339])).
% 9.08/6.53 tff(20341,plain,
% 9.08/6.53 (xuntil6(s102) | (~until5(s102))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10312, 36, 20340])).
% 9.08/6.53 tff(20342,plain,
% 9.08/6.53 (~until5(s102)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20341, 20338])).
% 9.08/6.53 tff(20343,plain,
% 9.08/6.53 (~xuntil6(s101)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10301, 20342])).
% 9.08/6.53 tff(20344,plain,
% 9.08/6.53 (~always3(s101)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9038, 20339])).
% 9.08/6.53 tff(20345,plain,
% 9.08/6.53 (~node4(s101)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10288, 22, 20344])).
% 9.08/6.53 tff(20346,plain,
% 9.08/6.53 (xuntil6(s101) | (~until5(s101))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10295, 36, 20345])).
% 9.08/6.53 tff(20347,plain,
% 9.08/6.53 (~until5(s101)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20346, 20343])).
% 9.08/6.53 tff(20348,plain,
% 9.08/6.53 (~xuntil6(s100)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10284, 20347])).
% 9.08/6.53 tff(20349,plain,
% 9.08/6.53 (~always3(s100)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9050, 20344])).
% 9.08/6.53 tff(20350,plain,
% 9.08/6.53 (~node4(s100)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10271, 22, 20349])).
% 9.08/6.53 tff(20351,plain,
% 9.08/6.53 (xuntil6(s100) | (~until5(s100))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10278, 36, 20350])).
% 9.08/6.53 tff(20352,plain,
% 9.08/6.53 (~until5(s100)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20351, 20348])).
% 9.08/6.53 tff(20353,plain,
% 9.08/6.53 (~xuntil6(s99)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10267, 20352])).
% 9.08/6.53 tff(20354,plain,
% 9.08/6.53 (~always3(s99)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9062, 20349])).
% 9.08/6.53 tff(20355,plain,
% 9.08/6.53 (~node4(s99)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10254, 22, 20354])).
% 9.08/6.53 tff(20356,plain,
% 9.08/6.53 (xuntil6(s99) | (~until5(s99))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10261, 36, 20355])).
% 9.08/6.53 tff(20357,plain,
% 9.08/6.53 (~until5(s99)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20356, 20353])).
% 9.08/6.53 tff(20358,plain,
% 9.08/6.53 (~xuntil6(s98)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10250, 20357])).
% 9.08/6.53 tff(20359,plain,
% 9.08/6.53 (~always3(s98)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9074, 20354])).
% 9.08/6.53 tff(20360,plain,
% 9.08/6.53 (~node4(s98)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10237, 22, 20359])).
% 9.08/6.53 tff(20361,plain,
% 9.08/6.53 (xuntil6(s98) | (~until5(s98))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10244, 36, 20360])).
% 9.08/6.53 tff(20362,plain,
% 9.08/6.53 (~until5(s98)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20361, 20358])).
% 9.08/6.53 tff(20363,plain,
% 9.08/6.53 (~xuntil6(s97)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10233, 20362])).
% 9.08/6.53 tff(20364,plain,
% 9.08/6.53 (~always3(s97)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9086, 20359])).
% 9.08/6.53 tff(20365,plain,
% 9.08/6.53 (~node4(s97)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10220, 22, 20364])).
% 9.08/6.53 tff(20366,plain,
% 9.08/6.53 (xuntil6(s97) | (~until5(s97))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10227, 36, 20365])).
% 9.08/6.53 tff(20367,plain,
% 9.08/6.53 (~until5(s97)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20366, 20363])).
% 9.08/6.53 tff(20368,plain,
% 9.08/6.53 (~xuntil6(s96)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10216, 20367])).
% 9.08/6.53 tff(20369,plain,
% 9.08/6.53 (~always3(s96)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9098, 20364])).
% 9.08/6.53 tff(20370,plain,
% 9.08/6.53 (~node4(s96)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10203, 22, 20369])).
% 9.08/6.53 tff(20371,plain,
% 9.08/6.53 (xuntil6(s96) | (~until5(s96))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10210, 36, 20370])).
% 9.08/6.53 tff(20372,plain,
% 9.08/6.53 (~until5(s96)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20371, 20368])).
% 9.08/6.53 tff(20373,plain,
% 9.08/6.53 (~xuntil6(s95)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10199, 20372])).
% 9.08/6.53 tff(20374,plain,
% 9.08/6.53 (~always3(s95)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9110, 20369])).
% 9.08/6.53 tff(20375,plain,
% 9.08/6.53 (~node4(s95)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10186, 22, 20374])).
% 9.08/6.53 tff(20376,plain,
% 9.08/6.53 (xuntil6(s95) | (~until5(s95))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10193, 36, 20375])).
% 9.08/6.53 tff(20377,plain,
% 9.08/6.53 (~until5(s95)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20376, 20373])).
% 9.08/6.53 tff(20378,plain,
% 9.08/6.53 (~xuntil6(s94)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10182, 20377])).
% 9.08/6.53 tff(20379,plain,
% 9.08/6.53 (~always3(s94)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9122, 20374])).
% 9.08/6.53 tff(20380,plain,
% 9.08/6.53 (~node4(s94)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10169, 22, 20379])).
% 9.08/6.53 tff(20381,plain,
% 9.08/6.53 (xuntil6(s94) | (~until5(s94))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10176, 36, 20380])).
% 9.08/6.53 tff(20382,plain,
% 9.08/6.53 (~until5(s94)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20381, 20378])).
% 9.08/6.53 tff(20383,plain,
% 9.08/6.53 (~xuntil6(s93)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10165, 20382])).
% 9.08/6.53 tff(20384,plain,
% 9.08/6.53 (~always3(s93)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9134, 20379])).
% 9.08/6.53 tff(20385,plain,
% 9.08/6.53 (~node4(s93)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10152, 22, 20384])).
% 9.08/6.53 tff(20386,plain,
% 9.08/6.53 (xuntil6(s93) | (~until5(s93))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10159, 36, 20385])).
% 9.08/6.53 tff(20387,plain,
% 9.08/6.53 (~until5(s93)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20386, 20383])).
% 9.08/6.53 tff(20388,plain,
% 9.08/6.53 (~xuntil6(s92)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10148, 20387])).
% 9.08/6.53 tff(20389,plain,
% 9.08/6.53 (~always3(s92)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9146, 20384])).
% 9.08/6.53 tff(20390,plain,
% 9.08/6.53 (~node4(s92)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10135, 22, 20389])).
% 9.08/6.53 tff(20391,plain,
% 9.08/6.53 (xuntil6(s92) | (~until5(s92))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10142, 36, 20390])).
% 9.08/6.53 tff(20392,plain,
% 9.08/6.53 (~until5(s92)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20391, 20388])).
% 9.08/6.53 tff(20393,plain,
% 9.08/6.53 (~xuntil6(s91)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10131, 20392])).
% 9.08/6.53 tff(20394,plain,
% 9.08/6.53 (~always3(s91)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9158, 20389])).
% 9.08/6.53 tff(20395,plain,
% 9.08/6.53 (~node4(s91)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10118, 22, 20394])).
% 9.08/6.53 tff(20396,plain,
% 9.08/6.53 (xuntil6(s91) | (~until5(s91))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10125, 36, 20395])).
% 9.08/6.53 tff(20397,plain,
% 9.08/6.53 (~until5(s91)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20396, 20393])).
% 9.08/6.53 tff(20398,plain,
% 9.08/6.53 (~xuntil6(s90)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10114, 20397])).
% 9.08/6.53 tff(20399,plain,
% 9.08/6.53 (~always3(s90)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9170, 20394])).
% 9.08/6.53 tff(20400,plain,
% 9.08/6.53 (~node4(s90)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10101, 22, 20399])).
% 9.08/6.53 tff(20401,plain,
% 9.08/6.53 (xuntil6(s90) | (~until5(s90))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10108, 36, 20400])).
% 9.08/6.53 tff(20402,plain,
% 9.08/6.53 (~until5(s90)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20401, 20398])).
% 9.08/6.53 tff(20403,plain,
% 9.08/6.53 (~xuntil6(s89)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10097, 20402])).
% 9.08/6.53 tff(20404,plain,
% 9.08/6.53 (~always3(s89)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9182, 20399])).
% 9.08/6.53 tff(20405,plain,
% 9.08/6.53 (~node4(s89)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10084, 22, 20404])).
% 9.08/6.53 tff(20406,plain,
% 9.08/6.53 (xuntil6(s89) | (~until5(s89))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10091, 36, 20405])).
% 9.08/6.53 tff(20407,plain,
% 9.08/6.53 (~until5(s89)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20406, 20403])).
% 9.08/6.53 tff(20408,plain,
% 9.08/6.53 (~xuntil6(s88)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10080, 20407])).
% 9.08/6.53 tff(20409,plain,
% 9.08/6.53 (~always3(s88)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9194, 20404])).
% 9.08/6.53 tff(20410,plain,
% 9.08/6.53 (~node4(s88)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10067, 22, 20409])).
% 9.08/6.53 tff(20411,plain,
% 9.08/6.53 (xuntil6(s88) | (~until5(s88))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10074, 36, 20410])).
% 9.08/6.53 tff(20412,plain,
% 9.08/6.53 (~until5(s88)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20411, 20408])).
% 9.08/6.53 tff(20413,plain,
% 9.08/6.53 (~xuntil6(s87)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10063, 20412])).
% 9.08/6.53 tff(20414,plain,
% 9.08/6.53 (~always3(s87)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9206, 20409])).
% 9.08/6.53 tff(20415,plain,
% 9.08/6.53 (~node4(s87)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10050, 22, 20414])).
% 9.08/6.53 tff(20416,plain,
% 9.08/6.53 (xuntil6(s87) | (~until5(s87))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10057, 36, 20415])).
% 9.08/6.53 tff(20417,plain,
% 9.08/6.53 (~until5(s87)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20416, 20413])).
% 9.08/6.53 tff(20418,plain,
% 9.08/6.53 (~xuntil6(s86)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10046, 20417])).
% 9.08/6.53 tff(20419,plain,
% 9.08/6.53 (~always3(s86)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9218, 20414])).
% 9.08/6.53 tff(20420,plain,
% 9.08/6.53 (~node4(s86)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10033, 22, 20419])).
% 9.08/6.53 tff(20421,plain,
% 9.08/6.53 (xuntil6(s86) | (~until5(s86))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10040, 36, 20420])).
% 9.08/6.53 tff(20422,plain,
% 9.08/6.53 (~until5(s86)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20421, 20418])).
% 9.08/6.53 tff(20423,plain,
% 9.08/6.53 (~xuntil6(s85)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10029, 20422])).
% 9.08/6.53 tff(20424,plain,
% 9.08/6.53 (~always3(s85)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9230, 20419])).
% 9.08/6.53 tff(20425,plain,
% 9.08/6.53 (~node4(s85)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10016, 22, 20424])).
% 9.08/6.53 tff(20426,plain,
% 9.08/6.53 (xuntil6(s85) | (~until5(s85))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10023, 36, 20425])).
% 9.08/6.53 tff(20427,plain,
% 9.08/6.53 (~until5(s85)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20426, 20423])).
% 9.08/6.53 tff(20428,plain,
% 9.08/6.53 (~xuntil6(s84)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10012, 20427])).
% 9.08/6.53 tff(20429,plain,
% 9.08/6.53 (~always3(s84)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9242, 20424])).
% 9.08/6.53 tff(20430,plain,
% 9.08/6.53 (~node4(s84)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9999, 22, 20429])).
% 9.08/6.53 tff(20431,plain,
% 9.08/6.53 (xuntil6(s84) | (~until5(s84))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[10006, 36, 20430])).
% 9.08/6.53 tff(20432,plain,
% 9.08/6.53 (~until5(s84)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20431, 20428])).
% 9.08/6.53 tff(20433,plain,
% 9.08/6.53 (~xuntil6(s83)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9995, 20432])).
% 9.08/6.53 tff(20434,plain,
% 9.08/6.53 (~always3(s83)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9254, 20429])).
% 9.08/6.53 tff(20435,plain,
% 9.08/6.53 (~node4(s83)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9982, 22, 20434])).
% 9.08/6.53 tff(20436,plain,
% 9.08/6.53 (xuntil6(s83) | (~until5(s83))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9989, 36, 20435])).
% 9.08/6.53 tff(20437,plain,
% 9.08/6.53 (~until5(s83)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20436, 20433])).
% 9.08/6.53 tff(20438,plain,
% 9.08/6.53 (~xuntil6(s82)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9978, 20437])).
% 9.08/6.53 tff(20439,plain,
% 9.08/6.53 (~always3(s82)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9266, 20434])).
% 9.08/6.53 tff(20440,plain,
% 9.08/6.53 (~node4(s82)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9965, 22, 20439])).
% 9.08/6.53 tff(20441,plain,
% 9.08/6.53 (xuntil6(s82) | (~until5(s82))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9972, 36, 20440])).
% 9.08/6.53 tff(20442,plain,
% 9.08/6.53 (~until5(s82)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20441, 20438])).
% 9.08/6.53 tff(20443,plain,
% 9.08/6.53 (~xuntil6(s81)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9961, 20442])).
% 9.08/6.53 tff(20444,plain,
% 9.08/6.53 (~always3(s81)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9278, 20439])).
% 9.08/6.53 tff(20445,plain,
% 9.08/6.53 (~always3(s80)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9290, 20444])).
% 9.08/6.53 tff(20446,plain,
% 9.08/6.53 (~always3(s79)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9302, 20445])).
% 9.08/6.53 tff(20447,plain,
% 9.08/6.53 (~always3(s78)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9314, 20446])).
% 9.08/6.53 tff(20448,plain,
% 9.08/6.53 (~always3(s77)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9326, 20447])).
% 9.08/6.53 tff(20449,plain,
% 9.08/6.53 (~always3(s76)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9338, 20448])).
% 9.08/6.53 tff(20450,plain,
% 9.08/6.53 (~always3(s75)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9350, 20449])).
% 9.08/6.53 tff(20451,plain,
% 9.08/6.53 (~always3(s74)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9362, 20450])).
% 9.08/6.53 tff(20452,plain,
% 9.08/6.53 (~always3(s73)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9374, 20451])).
% 9.08/6.53 tff(20453,plain,
% 9.08/6.53 (~always3(s72)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9386, 20452])).
% 9.08/6.53 tff(20454,plain,
% 9.08/6.53 (~always3(s71)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9398, 20453])).
% 9.08/6.53 tff(20455,plain,
% 9.08/6.53 (~always3(s70)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9410, 20454])).
% 9.08/6.53 tff(20456,plain,
% 9.08/6.53 (~always3(s69)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9422, 20455])).
% 9.08/6.53 tff(20457,plain,
% 9.08/6.53 (~always3(s68)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9434, 20456])).
% 9.08/6.53 tff(20458,plain,
% 9.08/6.53 (~always3(s67)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9446, 20457])).
% 9.08/6.53 tff(20459,plain,
% 9.08/6.53 (~always3(s66)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9458, 20458])).
% 9.08/6.53 tff(20460,plain,
% 9.08/6.53 (~always3(s65)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9470, 20459])).
% 9.08/6.53 tff(20461,plain,
% 9.08/6.53 (~always3(s64)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9482, 20460])).
% 9.08/6.53 tff(20462,plain,
% 9.08/6.53 (~always3(s63)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9494, 20461])).
% 9.08/6.53 tff(20463,plain,
% 9.08/6.53 (~always3(s62)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9506, 20462])).
% 9.08/6.53 tff(20464,plain,
% 9.08/6.53 (~always3(s61)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9518, 20463])).
% 9.08/6.53 tff(20465,plain,
% 9.08/6.53 (~always3(s60)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9530, 20464])).
% 9.08/6.53 tff(20466,plain,
% 9.08/6.53 (~always3(s59)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9542, 20465])).
% 9.08/6.53 tff(20467,plain,
% 9.08/6.53 (~always3(s58)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[9558, 20466])).
% 9.08/6.53 tff(20468,plain,
% 9.08/6.53 (~always3(s57)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[5004, 20467])).
% 9.08/6.53 tff(20469,plain,
% 9.08/6.53 (~always3(s56)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4870, 20468])).
% 9.08/6.53 tff(20470,plain,
% 9.08/6.53 (~always3(s55)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4750, 20469])).
% 9.08/6.53 tff(20471,plain,
% 9.08/6.53 (~always3(s54)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4602, 20470])).
% 9.08/6.53 tff(20472,plain,
% 9.08/6.53 (~always3(s53)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4647, 20471])).
% 9.08/6.53 tff(20473,plain,
% 9.08/6.53 (~always3(s52)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4521, 20472])).
% 9.08/6.53 tff(20474,plain,
% 9.08/6.53 (~always3(s51)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4412, 20473])).
% 9.08/6.53 tff(20475,plain,
% 9.08/6.53 (~always3(s50)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4363, 20474])).
% 9.08/6.53 tff(20476,plain,
% 9.08/6.53 (~always3(s49)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3944, 20475])).
% 9.08/6.53 tff(20477,plain,
% 9.08/6.53 (~always3(s48)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3754, 20476])).
% 9.08/6.53 tff(20478,plain,
% 9.08/6.53 (~always3(s47)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3799, 20477])).
% 9.08/6.53 tff(20479,plain,
% 9.08/6.53 (~always3(s46)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3828, 20478])).
% 9.08/6.53 tff(20480,plain,
% 9.08/6.53 (~always3(s45)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3857, 20479])).
% 9.08/6.53 tff(20481,plain,
% 9.08/6.53 (~always3(s44)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3886, 20480])).
% 9.08/6.53 tff(20482,plain,
% 9.08/6.53 (~always3(s43)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3705, 20481])).
% 9.08/6.53 tff(20483,plain,
% 9.08/6.53 (~always3(s42)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3618, 20482])).
% 9.08/6.53 tff(20484,plain,
% 9.08/6.53 (~always3(s41)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3559, 20483])).
% 9.08/6.53 tff(20485,plain,
% 9.08/6.53 (~always3(s40)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3474, 20484])).
% 9.08/6.53 tff(20486,plain,
% 9.08/6.53 (~always3(s39)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3424, 20485])).
% 9.08/6.53 tff(20487,plain,
% 9.08/6.53 (~node4(s39)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3428, 22, 20486])).
% 9.08/6.53 tff(20488,plain,
% 9.08/6.53 (~always3(s38)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3233, 20486])).
% 9.08/6.53 tff(20489,plain,
% 9.08/6.53 (~node4(s38)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3219, 22, 20488])).
% 9.08/6.53 tff(20490,plain,
% 9.08/6.53 (~always3(s37)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[2932, 20488])).
% 9.08/6.53 tff(20491,plain,
% 9.08/6.53 (xuntil6(s37)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3202, 20490])).
% 9.08/6.53 tff(20492,plain,
% 9.08/6.53 (until5(s38)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3207, 20491])).
% 9.08/6.53 tff(20493,plain,
% 9.08/6.53 (xuntil6(s38) | node4(s38)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3214, 36, 20492])).
% 9.08/6.53 tff(20494,plain,
% 9.08/6.53 (xuntil6(s38)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20493, 20489])).
% 9.08/6.53 tff(20495,plain,
% 9.08/6.53 (until5(s39)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3410, 20494])).
% 9.08/6.53 tff(20496,plain,
% 9.08/6.53 (xuntil6(s39)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3460, 36, 20495, 20487])).
% 9.08/6.53 tff(20497,plain,
% 9.08/6.53 (until5(s40)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3445, 20496])).
% 9.08/6.53 tff(20498,plain,
% 9.08/6.53 (~node4(s40)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3432, 22, 20485])).
% 9.08/6.53 tff(20499,plain,
% 9.08/6.53 (xuntil6(s40) | (~until5(s40))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3439, 36, 20498])).
% 9.08/6.53 tff(20500,plain,
% 9.08/6.53 (xuntil6(s40)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20499, 20497])).
% 9.08/6.53 tff(20501,plain,
% 9.08/6.53 (until5(s41)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3545, 20500])).
% 9.08/6.53 tff(20502,plain,
% 9.08/6.53 (~node4(s41)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3563, 22, 20484])).
% 9.08/6.53 tff(20503,plain,
% 9.08/6.53 (xuntil6(s41) | (~until5(s41))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3587, 36, 20502])).
% 9.08/6.53 tff(20504,plain,
% 9.08/6.53 (xuntil6(s41)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20503, 20501])).
% 9.08/6.53 tff(20505,plain,
% 9.08/6.53 (until5(s42)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3580, 20504])).
% 9.08/6.53 tff(20506,plain,
% 9.08/6.53 (~node4(s42)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3567, 22, 20483])).
% 9.08/6.53 tff(20507,plain,
% 9.08/6.53 (xuntil6(s42) | (~until5(s42))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3574, 36, 20506])).
% 9.08/6.53 tff(20508,plain,
% 9.08/6.53 (xuntil6(s42)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20507, 20505])).
% 9.08/6.53 tff(20509,plain,
% 9.08/6.53 (until5(s43)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3684, 20508])).
% 9.08/6.53 tff(20510,plain,
% 9.08/6.53 (~node4(s43)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3693, 22, 20482])).
% 9.08/6.53 tff(20511,plain,
% 9.08/6.53 (xuntil6(s43) | (~until5(s43))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3734, 36, 20510])).
% 9.08/6.53 tff(20512,plain,
% 9.08/6.53 (xuntil6(s43)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20511, 20509])).
% 9.08/6.53 tff(20513,plain,
% 9.08/6.53 (until5(s44)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3740, 20512])).
% 9.08/6.53 tff(20514,plain,
% 9.08/6.53 (~node4(s44)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3890, 22, 20481])).
% 9.08/6.53 tff(20515,plain,
% 9.08/6.53 (xuntil6(s44) | (~until5(s44))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3897, 36, 20514])).
% 9.08/6.53 tff(20516,plain,
% 9.08/6.53 (xuntil6(s44)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20515, 20513])).
% 9.08/6.53 tff(20517,plain,
% 9.08/6.53 (until5(s45)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3877, 20516])).
% 9.08/6.53 tff(20518,plain,
% 9.08/6.53 (~node4(s45)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3861, 22, 20480])).
% 9.08/6.53 tff(20519,plain,
% 9.08/6.53 (xuntil6(s45) | (~until5(s45))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3868, 36, 20518])).
% 9.08/6.53 tff(20520,plain,
% 9.08/6.53 (xuntil6(s45)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20519, 20517])).
% 9.08/6.53 tff(20521,plain,
% 9.08/6.53 (until5(s46)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3848, 20520])).
% 9.08/6.53 tff(20522,plain,
% 9.08/6.53 (~node4(s46)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3832, 22, 20479])).
% 9.08/6.53 tff(20523,plain,
% 9.08/6.53 (xuntil6(s46) | (~until5(s46))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3839, 36, 20522])).
% 9.08/6.53 tff(20524,plain,
% 9.08/6.53 (xuntil6(s46)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20523, 20521])).
% 9.08/6.53 tff(20525,plain,
% 9.08/6.53 (until5(s47)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3819, 20524])).
% 9.08/6.53 tff(20526,plain,
% 9.08/6.53 (~node4(s47)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3803, 22, 20478])).
% 9.08/6.53 tff(20527,plain,
% 9.08/6.53 (xuntil6(s47) | (~until5(s47))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3810, 36, 20526])).
% 9.08/6.53 tff(20528,plain,
% 9.08/6.53 (xuntil6(s47)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20527, 20525])).
% 9.08/6.53 tff(20529,plain,
% 9.08/6.53 (until5(s48)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3790, 20528])).
% 9.08/6.53 tff(20530,plain,
% 9.08/6.53 (~node4(s48)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3758, 22, 20477])).
% 9.08/6.53 tff(20531,plain,
% 9.08/6.53 (xuntil6(s48) | (~until5(s48))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3782, 36, 20530])).
% 9.08/6.53 tff(20532,plain,
% 9.08/6.53 (xuntil6(s48)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20531, 20529])).
% 9.08/6.53 tff(20533,plain,
% 9.08/6.53 (until5(s49)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3775, 20532])).
% 9.08/6.53 tff(20534,plain,
% 9.08/6.53 (~node4(s49)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3762, 22, 20476])).
% 9.08/6.53 tff(20535,plain,
% 9.08/6.53 (xuntil6(s49) | (~until5(s49))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[3769, 36, 20534])).
% 9.08/6.53 tff(20536,plain,
% 9.08/6.53 (xuntil6(s49)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20535, 20533])).
% 9.08/6.53 tff(20537,plain,
% 9.08/6.53 (until5(s50)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4342, 20536])).
% 9.08/6.53 tff(20538,plain,
% 9.08/6.53 (~node4(s50)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4351, 22, 20475])).
% 9.08/6.53 tff(20539,plain,
% 9.08/6.53 (xuntil6(s50) | (~until5(s50))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4392, 36, 20538])).
% 9.08/6.53 tff(20540,plain,
% 9.08/6.53 (xuntil6(s50)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20539, 20537])).
% 9.08/6.53 tff(20541,plain,
% 9.08/6.53 (until5(s51)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4398, 20540])).
% 9.08/6.53 tff(20542,plain,
% 9.08/6.53 (~node4(s51)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4416, 22, 20474])).
% 9.08/6.53 tff(20543,plain,
% 9.08/6.53 (xuntil6(s51) | (~until5(s51))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4440, 36, 20542])).
% 9.08/6.53 tff(20544,plain,
% 9.08/6.53 (xuntil6(s51)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20543, 20541])).
% 9.08/6.53 tff(20545,plain,
% 9.08/6.53 (until5(s52)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4433, 20544])).
% 9.08/6.53 tff(20546,plain,
% 9.08/6.53 (~node4(s52)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4420, 22, 20473])).
% 9.08/6.53 tff(20547,plain,
% 9.08/6.53 (xuntil6(s52) | (~until5(s52))),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[4427, 36, 20546])).
% 9.08/6.53 tff(20548,plain,
% 9.08/6.53 (xuntil6(s52)),
% 9.08/6.53 inference(unit_resolution,[status(thm)],[20547, 20545])).
% 9.08/6.54 tff(20549,plain,
% 9.08/6.54 (until5(s53)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4587, 20548])).
% 9.08/6.54 tff(20550,plain,
% 9.08/6.54 (~node4(s53)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4651, 22, 20472])).
% 9.08/6.54 tff(20551,plain,
% 9.08/6.54 (xuntil6(s53) | (~until5(s53))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4658, 36, 20550])).
% 9.08/6.54 tff(20552,plain,
% 9.08/6.54 (xuntil6(s53)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20551, 20549])).
% 9.08/6.54 tff(20553,plain,
% 9.08/6.54 (until5(s54)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4638, 20552])).
% 9.08/6.54 tff(20554,plain,
% 9.08/6.54 (~node4(s54)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4606, 22, 20471])).
% 9.08/6.54 tff(20555,plain,
% 9.08/6.54 (xuntil6(s54) | (~until5(s54))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4630, 36, 20554])).
% 9.08/6.54 tff(20556,plain,
% 9.08/6.54 (xuntil6(s54)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20555, 20553])).
% 9.08/6.54 tff(20557,plain,
% 9.08/6.54 (until5(s55)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4623, 20556])).
% 9.08/6.54 tff(20558,plain,
% 9.08/6.54 (~node4(s55)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4610, 22, 20470])).
% 9.08/6.54 tff(20559,plain,
% 9.08/6.54 (xuntil6(s55) | (~until5(s55))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4617, 36, 20558])).
% 9.08/6.54 tff(20560,plain,
% 9.08/6.54 (xuntil6(s55)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20559, 20557])).
% 9.08/6.54 tff(20561,plain,
% 9.08/6.54 (until5(s56)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4856, 20560])).
% 9.08/6.54 tff(20562,plain,
% 9.08/6.54 (~node4(s56)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4874, 22, 20469])).
% 9.08/6.54 tff(20563,plain,
% 9.08/6.54 (xuntil6(s56) | (~until5(s56))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4898, 36, 20562])).
% 9.08/6.54 tff(20564,plain,
% 9.08/6.54 (xuntil6(s56)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20563, 20561])).
% 9.08/6.54 tff(20565,plain,
% 9.08/6.54 (until5(s57)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4891, 20564])).
% 9.08/6.54 tff(20566,plain,
% 9.08/6.54 (~node4(s57)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4878, 22, 20468])).
% 9.08/6.54 tff(20567,plain,
% 9.08/6.54 (xuntil6(s57) | (~until5(s57))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4885, 36, 20566])).
% 9.08/6.54 tff(20568,plain,
% 9.08/6.54 (xuntil6(s57)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20567, 20565])).
% 9.08/6.54 tff(20569,plain,
% 9.08/6.54 (until5(s58)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[5070, 20568])).
% 9.08/6.54 tff(20570,plain,
% 9.08/6.54 (~node4(s58)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9562, 22, 20467])).
% 9.08/6.54 tff(20571,plain,
% 9.08/6.54 (xuntil6(s58) | (~until5(s58))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9569, 36, 20570])).
% 9.08/6.54 tff(20572,plain,
% 9.08/6.54 (xuntil6(s58)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20571, 20569])).
% 9.08/6.54 tff(20573,plain,
% 9.08/6.54 (until5(s59)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9575, 20572])).
% 9.08/6.54 tff(20574,plain,
% 9.08/6.54 (~node4(s59)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9546, 22, 20466])).
% 9.08/6.54 tff(20575,plain,
% 9.08/6.54 (xuntil6(s59) | (~until5(s59))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9582, 36, 20574])).
% 9.08/6.54 tff(20576,plain,
% 9.08/6.54 (xuntil6(s59)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20575, 20573])).
% 9.08/6.54 tff(20577,plain,
% 9.08/6.54 (until5(s60)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9587, 20576])).
% 9.08/6.54 tff(20578,plain,
% 9.08/6.54 (~node4(s60)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9591, 22, 20465])).
% 9.08/6.54 tff(20579,plain,
% 9.08/6.54 (xuntil6(s60) | (~until5(s60))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9598, 36, 20578])).
% 9.08/6.54 tff(20580,plain,
% 9.08/6.54 (xuntil6(s60)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20579, 20577])).
% 9.08/6.54 tff(20581,plain,
% 9.08/6.54 (until5(s61)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9604, 20580])).
% 9.08/6.54 tff(20582,plain,
% 9.08/6.54 (~node4(s61)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9608, 22, 20464])).
% 9.08/6.54 tff(20583,plain,
% 9.08/6.54 (xuntil6(s61) | (~until5(s61))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9615, 36, 20582])).
% 9.08/6.54 tff(20584,plain,
% 9.08/6.54 (xuntil6(s61)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20583, 20581])).
% 9.08/6.54 tff(20585,plain,
% 9.08/6.54 (until5(s62)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9621, 20584])).
% 9.08/6.54 tff(20586,plain,
% 9.08/6.54 (~node4(s62)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9625, 22, 20463])).
% 9.08/6.54 tff(20587,plain,
% 9.08/6.54 (xuntil6(s62) | (~until5(s62))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9632, 36, 20586])).
% 9.08/6.54 tff(20588,plain,
% 9.08/6.54 (xuntil6(s62)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20587, 20585])).
% 9.08/6.54 tff(20589,plain,
% 9.08/6.54 (until5(s63)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9638, 20588])).
% 9.08/6.54 tff(20590,plain,
% 9.08/6.54 (~node4(s63)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9642, 22, 20462])).
% 9.08/6.54 tff(20591,plain,
% 9.08/6.54 (xuntil6(s63) | (~until5(s63))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9649, 36, 20590])).
% 9.08/6.54 tff(20592,plain,
% 9.08/6.54 (xuntil6(s63)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20591, 20589])).
% 9.08/6.54 tff(20593,plain,
% 9.08/6.54 (until5(s64)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9655, 20592])).
% 9.08/6.54 tff(20594,plain,
% 9.08/6.54 (~node4(s64)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9659, 22, 20461])).
% 9.08/6.54 tff(20595,plain,
% 9.08/6.54 (xuntil6(s64) | (~until5(s64))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9666, 36, 20594])).
% 9.08/6.54 tff(20596,plain,
% 9.08/6.54 (xuntil6(s64)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20595, 20593])).
% 9.08/6.54 tff(20597,plain,
% 9.08/6.54 (until5(s65)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9672, 20596])).
% 9.08/6.54 tff(20598,plain,
% 9.08/6.54 (~node4(s65)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9676, 22, 20460])).
% 9.08/6.54 tff(20599,plain,
% 9.08/6.54 (xuntil6(s65) | (~until5(s65))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9683, 36, 20598])).
% 9.08/6.54 tff(20600,plain,
% 9.08/6.54 (xuntil6(s65)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20599, 20597])).
% 9.08/6.54 tff(20601,plain,
% 9.08/6.54 (until5(s66)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9689, 20600])).
% 9.08/6.54 tff(20602,plain,
% 9.08/6.54 (~node4(s66)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9693, 22, 20459])).
% 9.08/6.54 tff(20603,plain,
% 9.08/6.54 (xuntil6(s66) | (~until5(s66))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9700, 36, 20602])).
% 9.08/6.54 tff(20604,plain,
% 9.08/6.54 (xuntil6(s66)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20603, 20601])).
% 9.08/6.54 tff(20605,plain,
% 9.08/6.54 (until5(s67)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9706, 20604])).
% 9.08/6.54 tff(20606,plain,
% 9.08/6.54 (~node4(s67)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9710, 22, 20458])).
% 9.08/6.54 tff(20607,plain,
% 9.08/6.54 (xuntil6(s67) | (~until5(s67))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9717, 36, 20606])).
% 9.08/6.54 tff(20608,plain,
% 9.08/6.54 (xuntil6(s67)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20607, 20605])).
% 9.08/6.54 tff(20609,plain,
% 9.08/6.54 (until5(s68)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9723, 20608])).
% 9.08/6.54 tff(20610,plain,
% 9.08/6.54 (~node4(s68)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9727, 22, 20457])).
% 9.08/6.54 tff(20611,plain,
% 9.08/6.54 (xuntil6(s68) | (~until5(s68))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9734, 36, 20610])).
% 9.08/6.54 tff(20612,plain,
% 9.08/6.54 (xuntil6(s68)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20611, 20609])).
% 9.08/6.54 tff(20613,plain,
% 9.08/6.54 (until5(s69)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9740, 20612])).
% 9.08/6.54 tff(20614,plain,
% 9.08/6.54 (~node4(s69)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9744, 22, 20456])).
% 9.08/6.54 tff(20615,plain,
% 9.08/6.54 (xuntil6(s69) | (~until5(s69))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9751, 36, 20614])).
% 9.08/6.54 tff(20616,plain,
% 9.08/6.54 (xuntil6(s69)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20615, 20613])).
% 9.08/6.54 tff(20617,plain,
% 9.08/6.54 (until5(s70)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9757, 20616])).
% 9.08/6.54 tff(20618,plain,
% 9.08/6.54 (~node4(s70)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9761, 22, 20455])).
% 9.08/6.54 tff(20619,plain,
% 9.08/6.54 (xuntil6(s70) | (~until5(s70))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9768, 36, 20618])).
% 9.08/6.54 tff(20620,plain,
% 9.08/6.54 (xuntil6(s70)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20619, 20617])).
% 9.08/6.54 tff(20621,plain,
% 9.08/6.54 (until5(s71)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9774, 20620])).
% 9.08/6.54 tff(20622,plain,
% 9.08/6.54 (~node4(s71)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9778, 22, 20454])).
% 9.08/6.54 tff(20623,plain,
% 9.08/6.54 (xuntil6(s71) | (~until5(s71))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9785, 36, 20622])).
% 9.08/6.54 tff(20624,plain,
% 9.08/6.54 (xuntil6(s71)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20623, 20621])).
% 9.08/6.54 tff(20625,plain,
% 9.08/6.54 (until5(s72)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9791, 20624])).
% 9.08/6.54 tff(20626,plain,
% 9.08/6.54 (~node4(s72)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9795, 22, 20453])).
% 9.08/6.54 tff(20627,plain,
% 9.08/6.54 (xuntil6(s72) | (~until5(s72))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9802, 36, 20626])).
% 9.08/6.54 tff(20628,plain,
% 9.08/6.54 (xuntil6(s72)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20627, 20625])).
% 9.08/6.54 tff(20629,plain,
% 9.08/6.54 (until5(s73)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9808, 20628])).
% 9.08/6.54 tff(20630,plain,
% 9.08/6.54 (~node4(s73)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9812, 22, 20452])).
% 9.08/6.54 tff(20631,plain,
% 9.08/6.54 (xuntil6(s73) | (~until5(s73))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9819, 36, 20630])).
% 9.08/6.54 tff(20632,plain,
% 9.08/6.54 (xuntil6(s73)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20631, 20629])).
% 9.08/6.54 tff(20633,plain,
% 9.08/6.54 (until5(s74)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9825, 20632])).
% 9.08/6.54 tff(20634,plain,
% 9.08/6.54 (~node4(s74)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9829, 22, 20451])).
% 9.08/6.54 tff(20635,plain,
% 9.08/6.54 (xuntil6(s74) | (~until5(s74))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9836, 36, 20634])).
% 9.08/6.54 tff(20636,plain,
% 9.08/6.54 (xuntil6(s74)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20635, 20633])).
% 9.08/6.54 tff(20637,plain,
% 9.08/6.54 (until5(s75)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9842, 20636])).
% 9.08/6.54 tff(20638,plain,
% 9.08/6.54 (~node4(s75)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9846, 22, 20450])).
% 9.08/6.54 tff(20639,plain,
% 9.08/6.54 (xuntil6(s75) | (~until5(s75))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9853, 36, 20638])).
% 9.08/6.54 tff(20640,plain,
% 9.08/6.54 (xuntil6(s75)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20639, 20637])).
% 9.08/6.54 tff(20641,plain,
% 9.08/6.54 (until5(s76)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9859, 20640])).
% 9.08/6.54 tff(20642,plain,
% 9.08/6.54 (~node4(s76)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9863, 22, 20449])).
% 9.08/6.54 tff(20643,plain,
% 9.08/6.54 (xuntil6(s76) | (~until5(s76))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9870, 36, 20642])).
% 9.08/6.54 tff(20644,plain,
% 9.08/6.54 (xuntil6(s76)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20643, 20641])).
% 9.08/6.54 tff(20645,plain,
% 9.08/6.54 (until5(s77)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9876, 20644])).
% 9.08/6.54 tff(20646,plain,
% 9.08/6.54 (~node4(s77)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9880, 22, 20448])).
% 9.08/6.54 tff(20647,plain,
% 9.08/6.54 (xuntil6(s77) | (~until5(s77))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9887, 36, 20646])).
% 9.08/6.54 tff(20648,plain,
% 9.08/6.54 (xuntil6(s77)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20647, 20645])).
% 9.08/6.54 tff(20649,plain,
% 9.08/6.54 (until5(s78)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9893, 20648])).
% 9.08/6.54 tff(20650,plain,
% 9.08/6.54 (~node4(s78)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9897, 22, 20447])).
% 9.08/6.54 tff(20651,plain,
% 9.08/6.54 (xuntil6(s78) | (~until5(s78))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9904, 36, 20650])).
% 9.08/6.54 tff(20652,plain,
% 9.08/6.54 (xuntil6(s78)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20651, 20649])).
% 9.08/6.54 tff(20653,plain,
% 9.08/6.54 (until5(s79)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9910, 20652])).
% 9.08/6.54 tff(20654,plain,
% 9.08/6.54 (~node4(s79)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9914, 22, 20446])).
% 9.08/6.54 tff(20655,plain,
% 9.08/6.54 (xuntil6(s79) | (~until5(s79))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9921, 36, 20654])).
% 9.08/6.54 tff(20656,plain,
% 9.08/6.54 (xuntil6(s79)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20655, 20653])).
% 9.08/6.54 tff(20657,plain,
% 9.08/6.54 (until5(s80)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9927, 20656])).
% 9.08/6.54 tff(20658,plain,
% 9.08/6.54 (~node4(s80)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9931, 22, 20445])).
% 9.08/6.54 tff(20659,plain,
% 9.08/6.54 (xuntil6(s80) | (~until5(s80))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9938, 36, 20658])).
% 9.08/6.54 tff(20660,plain,
% 9.08/6.54 (xuntil6(s80)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20659, 20657])).
% 9.08/6.54 tff(20661,plain,
% 9.08/6.54 (until5(s81)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9944, 20660])).
% 9.08/6.54 tff(20662,plain,
% 9.08/6.54 (~node4(s81)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9948, 22, 20444])).
% 9.08/6.54 tff(20663,plain,
% 9.08/6.54 (xuntil6(s81) | (~until5(s81))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9955, 36, 20662])).
% 9.08/6.54 tff(20664,plain,
% 9.08/6.54 ($false),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20663, 20661, 20443])).
% 9.08/6.54 tff(20665,plain,(always3(s124) | xuntil6(s124)), inference(lemma,lemma(discharge,[]))).
% 9.08/6.54 tff(20666,plain,
% 9.08/6.54 (always3(s124)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20665, 20229])).
% 9.08/6.54 tff(20667,plain,
% 9.08/6.54 (always3(s125)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[8762, 20666])).
% 9.08/6.54 tff(20668,plain,
% 9.08/6.54 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s125)) | (~m_main_v_state(s125, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s125)) | (~m_main_v_state(s125, c_busy)))),
% 9.08/6.54 inference(rewrite,[status(thm)],[])).
% 9.08/6.54 tff(20669,plain,
% 9.08/6.54 (((~m_main_v_state(s125, c_busy)) | (~always3(s125))) <=> ((~always3(s125)) | (~m_main_v_state(s125, c_busy)))),
% 9.08/6.54 inference(rewrite,[status(thm)],[])).
% 9.08/6.54 tff(20670,plain,
% 9.08/6.54 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s125, c_busy)) | (~always3(s125)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s125)) | (~m_main_v_state(s125, c_busy))))),
% 9.08/6.54 inference(monotonicity,[status(thm)],[20669])).
% 9.08/6.54 tff(20671,plain,
% 9.08/6.54 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s125, c_busy)) | (~always3(s125)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s125)) | (~m_main_v_state(s125, c_busy)))),
% 9.08/6.54 inference(transitivity,[status(thm)],[20670, 20668])).
% 9.08/6.54 tff(20672,plain,
% 9.08/6.54 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s125, c_busy)) | (~always3(s125)))),
% 9.08/6.54 inference(quant_inst,[status(thm)],[])).
% 9.08/6.54 tff(20673,plain,
% 9.08/6.54 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s125)) | (~m_main_v_state(s125, c_busy))),
% 9.08/6.54 inference(modus_ponens,[status(thm)],[20672, 20671])).
% 9.08/6.54 tff(20674,plain,
% 9.08/6.54 (~m_main_v_state(s125, c_busy)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20673, 170, 20667])).
% 9.08/6.54 tff(20675,plain,
% 9.08/6.54 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s124)) | (~m_main_v_state(s124, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s124)) | (~m_main_v_state(s124, c_busy)))),
% 9.08/6.54 inference(rewrite,[status(thm)],[])).
% 9.08/6.54 tff(20676,plain,
% 9.08/6.54 (((~m_main_v_state(s124, c_busy)) | (~always3(s124))) <=> ((~always3(s124)) | (~m_main_v_state(s124, c_busy)))),
% 9.08/6.54 inference(rewrite,[status(thm)],[])).
% 9.08/6.54 tff(20677,plain,
% 9.08/6.54 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s124, c_busy)) | (~always3(s124)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s124)) | (~m_main_v_state(s124, c_busy))))),
% 9.08/6.54 inference(monotonicity,[status(thm)],[20676])).
% 9.08/6.54 tff(20678,plain,
% 9.08/6.54 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s124, c_busy)) | (~always3(s124)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s124)) | (~m_main_v_state(s124, c_busy)))),
% 9.08/6.54 inference(transitivity,[status(thm)],[20677, 20675])).
% 9.08/6.54 tff(20679,plain,
% 9.08/6.54 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s124, c_busy)) | (~always3(s124)))),
% 9.08/6.54 inference(quant_inst,[status(thm)],[])).
% 9.08/6.54 tff(20680,plain,
% 9.08/6.54 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s124)) | (~m_main_v_state(s124, c_busy))),
% 9.08/6.54 inference(modus_ponens,[status(thm)],[20679, 20678])).
% 9.08/6.54 tff(20681,plain,
% 9.08/6.54 (~m_main_v_state(s124, c_busy)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20680, 170, 20666])).
% 9.08/6.54 tff(20682,plain,
% 9.08/6.54 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s124, c_busy) | m_main_v_state(s124, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s124, c_busy) | m_main_v_state(s124, c_ready))),
% 9.08/6.54 inference(rewrite,[status(thm)],[])).
% 9.08/6.54 tff(20683,plain,
% 9.08/6.54 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s124, c_busy) | m_main_v_state(s124, c_ready))),
% 9.08/6.54 inference(quant_inst,[status(thm)],[])).
% 9.08/6.54 tff(20684,plain,
% 9.08/6.54 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s124, c_busy) | m_main_v_state(s124, c_ready)),
% 9.08/6.54 inference(modus_ponens,[status(thm)],[20683, 20682])).
% 9.08/6.54 tff(20685,plain,
% 9.08/6.54 (m_main_v_state(s124, c_ready)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20684, 213, 20681])).
% 9.08/6.54 tff(20686,assumption,(~m_main_v_state(s124, c_busy)), introduced(assumption)).
% 9.08/6.54 tff(20687,assumption,(node4(s123)), introduced(assumption)).
% 9.08/6.54 tff(20688,plain,
% 9.08/6.54 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s123) | (~node4(s123)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s123) | (~node4(s123)))),
% 9.08/6.54 inference(rewrite,[status(thm)],[])).
% 9.08/6.54 tff(20689,plain,
% 9.08/6.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s123) | (~node4(s123)))),
% 9.08/6.54 inference(quant_inst,[status(thm)],[])).
% 9.08/6.54 tff(20690,plain,
% 9.08/6.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s123) | (~node4(s123))),
% 9.08/6.54 inference(modus_ponens,[status(thm)],[20689, 20688])).
% 9.08/6.54 tff(20691,plain,
% 9.08/6.54 (m_main_v_request(s123)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20690, 154, 20687])).
% 9.08/6.54 tff(20692,plain,
% 9.08/6.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s123, s124)) | node2(s123, s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s123, s124)) | node2(s123, s124))),
% 9.08/6.54 inference(rewrite,[status(thm)],[])).
% 9.08/6.54 tff(20693,plain,
% 9.08/6.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s123, s124)) | node2(s123, s124))),
% 9.08/6.54 inference(quant_inst,[status(thm)],[])).
% 9.08/6.54 tff(20694,plain,
% 9.08/6.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s123, s124)) | node2(s123, s124)),
% 9.08/6.54 inference(modus_ponens,[status(thm)],[20693, 20692])).
% 9.08/6.54 tff(20695,plain,
% 9.08/6.54 (node2(s123, s124)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20694, 7, 8770])).
% 9.08/6.54 tff(20696,plain,
% 9.08/6.54 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s123, c_ready)) | (~node2(s123, s124)) | m_main_v_state(s124, c_busy) | (~m_main_v_request(s123)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s123, c_ready)) | (~node2(s123, s124)) | m_main_v_state(s124, c_busy) | (~m_main_v_request(s123)))),
% 9.08/6.54 inference(rewrite,[status(thm)],[])).
% 9.08/6.54 tff(20697,plain,
% 9.08/6.54 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s123, c_ready)) | (~node2(s123, s124)) | m_main_v_state(s124, c_busy) | (~m_main_v_request(s123)))),
% 9.08/6.54 inference(quant_inst,[status(thm)],[])).
% 9.08/6.54 tff(20698,plain,
% 9.08/6.54 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s123, c_ready)) | (~node2(s123, s124)) | m_main_v_state(s124, c_busy) | (~m_main_v_request(s123))),
% 9.08/6.54 inference(modus_ponens,[status(thm)],[20697, 20696])).
% 9.08/6.54 tff(20699,plain,
% 9.08/6.54 ((~m_main_v_state(s123, c_ready)) | m_main_v_state(s124, c_busy) | (~m_main_v_request(s123))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20698, 191, 20695])).
% 9.08/6.54 tff(20700,plain,
% 9.08/6.54 (~m_main_v_state(s123, c_ready)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20699, 20691, 20686])).
% 9.08/6.54 tff(20701,plain,
% 9.08/6.54 (always3(s123)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10662, 22, 20687])).
% 9.08/6.54 tff(20702,plain,
% 9.08/6.54 (~m_main_v_state(s123, c_busy)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20172, 170, 20701])).
% 9.08/6.54 tff(20703,plain,
% 9.08/6.54 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s123, c_busy) | m_main_v_state(s123, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s123, c_busy) | m_main_v_state(s123, c_ready))),
% 9.08/6.54 inference(rewrite,[status(thm)],[])).
% 9.08/6.54 tff(20704,plain,
% 9.08/6.54 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s123, c_busy) | m_main_v_state(s123, c_ready))),
% 9.08/6.54 inference(quant_inst,[status(thm)],[])).
% 9.08/6.54 tff(20705,plain,
% 9.08/6.54 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s123, c_busy) | m_main_v_state(s123, c_ready)),
% 9.08/6.54 inference(modus_ponens,[status(thm)],[20704, 20703])).
% 9.08/6.54 tff(20706,plain,
% 9.08/6.54 ($false),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20705, 213, 20702, 20700])).
% 9.08/6.54 tff(20707,plain,((~node4(s123)) | m_main_v_state(s124, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.08/6.54 tff(20708,plain,
% 9.08/6.54 (~node4(s123)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20707, 20681])).
% 9.08/6.54 tff(20709,assumption,(until5(s123)), introduced(assumption)).
% 9.08/6.54 tff(20710,plain,
% 9.08/6.54 (xuntil6(s123) | node4(s123)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10669, 36, 20709])).
% 9.08/6.54 tff(20711,plain,
% 9.08/6.54 (xuntil6(s123)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20710, 20708])).
% 9.08/6.54 tff(20712,plain,
% 9.08/6.54 (until5(s124)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10675, 20711])).
% 9.08/6.54 tff(20713,plain,
% 9.08/6.54 (node4(s124)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20234, 20712])).
% 9.08/6.54 tff(20714,plain,
% 9.08/6.54 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s124) | (~node4(s124)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s124) | (~node4(s124)))),
% 9.08/6.54 inference(rewrite,[status(thm)],[])).
% 9.08/6.54 tff(20715,plain,
% 9.08/6.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s124) | (~node4(s124)))),
% 9.08/6.54 inference(quant_inst,[status(thm)],[])).
% 9.08/6.54 tff(20716,plain,
% 9.08/6.54 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s124) | (~node4(s124))),
% 9.08/6.54 inference(modus_ponens,[status(thm)],[20715, 20714])).
% 9.08/6.54 tff(20717,plain,
% 9.08/6.54 (m_main_v_request(s124)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20716, 154, 20713])).
% 9.08/6.54 tff(20718,plain,
% 9.08/6.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s124, s125)) | node2(s124, s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s124, s125)) | node2(s124, s125))),
% 9.08/6.54 inference(rewrite,[status(thm)],[])).
% 9.08/6.54 tff(20719,plain,
% 9.08/6.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s124, s125)) | node2(s124, s125))),
% 9.08/6.54 inference(quant_inst,[status(thm)],[])).
% 9.08/6.54 tff(20720,plain,
% 9.08/6.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s124, s125)) | node2(s124, s125)),
% 9.08/6.54 inference(modus_ponens,[status(thm)],[20719, 20718])).
% 9.08/6.54 tff(20721,plain,
% 9.08/6.54 (node2(s124, s125)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20720, 7, 8758])).
% 9.08/6.54 tff(20722,plain,
% 9.08/6.54 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s124, c_ready)) | (~node2(s124, s125)) | m_main_v_state(s125, c_busy) | (~m_main_v_request(s124)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s124, c_ready)) | (~node2(s124, s125)) | m_main_v_state(s125, c_busy) | (~m_main_v_request(s124)))),
% 9.08/6.54 inference(rewrite,[status(thm)],[])).
% 9.08/6.54 tff(20723,plain,
% 9.08/6.54 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s124, c_ready)) | (~node2(s124, s125)) | m_main_v_state(s125, c_busy) | (~m_main_v_request(s124)))),
% 9.08/6.54 inference(quant_inst,[status(thm)],[])).
% 9.08/6.54 tff(20724,plain,
% 9.08/6.54 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s124, c_ready)) | (~node2(s124, s125)) | m_main_v_state(s125, c_busy) | (~m_main_v_request(s124))),
% 9.08/6.54 inference(modus_ponens,[status(thm)],[20723, 20722])).
% 9.08/6.54 tff(20725,plain,
% 9.08/6.54 ((~m_main_v_state(s124, c_ready)) | m_main_v_state(s125, c_busy) | (~m_main_v_request(s124))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20724, 191, 20721])).
% 9.08/6.54 tff(20726,plain,
% 9.08/6.54 ($false),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20725, 20717, 20685, 20674])).
% 9.08/6.54 tff(20727,plain,(xuntil6(s124) | (~until5(s123))), inference(lemma,lemma(discharge,[]))).
% 9.08/6.54 tff(20728,plain,
% 9.08/6.54 (xuntil6(s124)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20727, 20228])).
% 9.08/6.54 tff(20729,plain,
% 9.08/6.54 (until5(s125)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10692, 20728])).
% 9.08/6.54 tff(20730,assumption,(~xuntil6(s126)), introduced(assumption)).
% 9.08/6.54 tff(20731,assumption,(~always3(s126)), introduced(assumption)).
% 9.08/6.54 tff(20732,plain,
% 9.08/6.54 (~always3(s125)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[8750, 20731])).
% 9.08/6.54 tff(20733,plain,
% 9.08/6.54 (~node4(s125)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10696, 22, 20732])).
% 9.08/6.54 tff(20734,plain,
% 9.08/6.54 (~node4(s126)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10713, 22, 20731])).
% 9.08/6.54 tff(20735,plain,
% 9.08/6.54 (node4(s126) | (~until5(s126))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10720, 36, 20730])).
% 9.08/6.54 tff(20736,plain,
% 9.08/6.54 (~until5(s126)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20735, 20734])).
% 9.08/6.54 tff(20737,plain,
% 9.08/6.54 (~xuntil6(s125)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10709, 20736])).
% 9.08/6.54 tff(20738,plain,
% 9.08/6.54 (~until5(s125)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10703, 36, 20737, 20733])).
% 9.08/6.54 tff(20739,plain,
% 9.08/6.54 (~xuntil6(s124)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10692, 20738])).
% 9.08/6.54 tff(20740,plain,
% 9.08/6.54 (~always3(s124)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[8762, 20732])).
% 9.08/6.54 tff(20741,plain,
% 9.08/6.54 (~node4(s124)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10679, 22, 20740])).
% 9.08/6.54 tff(20742,plain,
% 9.08/6.54 (xuntil6(s124) | (~until5(s124))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10686, 36, 20741])).
% 9.08/6.54 tff(20743,plain,
% 9.08/6.54 (~until5(s124)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20742, 20739])).
% 9.08/6.54 tff(20744,plain,
% 9.08/6.54 (~xuntil6(s123)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10675, 20743])).
% 9.08/6.54 tff(20745,plain,
% 9.08/6.54 (~always3(s123)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[8774, 20740])).
% 9.08/6.54 tff(20746,plain,
% 9.08/6.54 (~node4(s123)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10662, 22, 20745])).
% 9.08/6.54 tff(20747,plain,
% 9.08/6.54 (xuntil6(s123) | (~until5(s123))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10669, 36, 20746])).
% 9.08/6.54 tff(20748,plain,
% 9.08/6.54 (~until5(s123)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20747, 20744])).
% 9.08/6.54 tff(20749,plain,
% 9.08/6.54 (~xuntil6(s122)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10658, 20748])).
% 9.08/6.54 tff(20750,plain,
% 9.08/6.54 (~always3(s122)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[8786, 20745])).
% 9.08/6.54 tff(20751,plain,
% 9.08/6.54 (~node4(s122)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10645, 22, 20750])).
% 9.08/6.54 tff(20752,plain,
% 9.08/6.54 (xuntil6(s122) | (~until5(s122))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10652, 36, 20751])).
% 9.08/6.54 tff(20753,plain,
% 9.08/6.54 (~until5(s122)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20752, 20749])).
% 9.08/6.54 tff(20754,plain,
% 9.08/6.54 (~xuntil6(s121)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10641, 20753])).
% 9.08/6.54 tff(20755,plain,
% 9.08/6.54 (~always3(s121)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[8798, 20750])).
% 9.08/6.54 tff(20756,plain,
% 9.08/6.54 (~node4(s121)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10628, 22, 20755])).
% 9.08/6.54 tff(20757,plain,
% 9.08/6.54 (xuntil6(s121) | (~until5(s121))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10635, 36, 20756])).
% 9.08/6.54 tff(20758,plain,
% 9.08/6.54 (~until5(s121)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20757, 20754])).
% 9.08/6.54 tff(20759,plain,
% 9.08/6.54 (~xuntil6(s120)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10624, 20758])).
% 9.08/6.54 tff(20760,plain,
% 9.08/6.54 (~always3(s120)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[8810, 20755])).
% 9.08/6.54 tff(20761,plain,
% 9.08/6.54 (~node4(s120)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10611, 22, 20760])).
% 9.08/6.54 tff(20762,plain,
% 9.08/6.54 (xuntil6(s120) | (~until5(s120))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10618, 36, 20761])).
% 9.08/6.54 tff(20763,plain,
% 9.08/6.54 (~until5(s120)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20762, 20759])).
% 9.08/6.54 tff(20764,plain,
% 9.08/6.54 (~xuntil6(s119)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10607, 20763])).
% 9.08/6.54 tff(20765,plain,
% 9.08/6.54 (~always3(s119)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[8822, 20760])).
% 9.08/6.54 tff(20766,plain,
% 9.08/6.54 (~node4(s119)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10594, 22, 20765])).
% 9.08/6.54 tff(20767,plain,
% 9.08/6.54 (xuntil6(s119) | (~until5(s119))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10601, 36, 20766])).
% 9.08/6.54 tff(20768,plain,
% 9.08/6.54 (~until5(s119)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20767, 20764])).
% 9.08/6.54 tff(20769,plain,
% 9.08/6.54 (~xuntil6(s118)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10590, 20768])).
% 9.08/6.54 tff(20770,plain,
% 9.08/6.54 (~always3(s118)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[8834, 20765])).
% 9.08/6.54 tff(20771,plain,
% 9.08/6.54 (~node4(s118)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10577, 22, 20770])).
% 9.08/6.54 tff(20772,plain,
% 9.08/6.54 (xuntil6(s118) | (~until5(s118))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10584, 36, 20771])).
% 9.08/6.54 tff(20773,plain,
% 9.08/6.54 (~until5(s118)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20772, 20769])).
% 9.08/6.54 tff(20774,plain,
% 9.08/6.54 (~xuntil6(s117)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10573, 20773])).
% 9.08/6.54 tff(20775,plain,
% 9.08/6.54 (~always3(s117)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[8846, 20770])).
% 9.08/6.54 tff(20776,plain,
% 9.08/6.54 (~node4(s117)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10560, 22, 20775])).
% 9.08/6.54 tff(20777,plain,
% 9.08/6.54 (xuntil6(s117) | (~until5(s117))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10567, 36, 20776])).
% 9.08/6.54 tff(20778,plain,
% 9.08/6.54 (~until5(s117)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20777, 20774])).
% 9.08/6.54 tff(20779,plain,
% 9.08/6.54 (~xuntil6(s116)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10556, 20778])).
% 9.08/6.54 tff(20780,plain,
% 9.08/6.54 (~always3(s116)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[8858, 20775])).
% 9.08/6.54 tff(20781,plain,
% 9.08/6.54 (~node4(s116)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10543, 22, 20780])).
% 9.08/6.54 tff(20782,plain,
% 9.08/6.54 (xuntil6(s116) | (~until5(s116))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10550, 36, 20781])).
% 9.08/6.54 tff(20783,plain,
% 9.08/6.54 (~until5(s116)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20782, 20779])).
% 9.08/6.54 tff(20784,plain,
% 9.08/6.54 (~xuntil6(s115)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10539, 20783])).
% 9.08/6.54 tff(20785,plain,
% 9.08/6.54 (~always3(s115)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[8870, 20780])).
% 9.08/6.54 tff(20786,plain,
% 9.08/6.54 (~node4(s115)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10526, 22, 20785])).
% 9.08/6.54 tff(20787,plain,
% 9.08/6.54 (xuntil6(s115) | (~until5(s115))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10533, 36, 20786])).
% 9.08/6.54 tff(20788,plain,
% 9.08/6.54 (~until5(s115)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20787, 20784])).
% 9.08/6.54 tff(20789,plain,
% 9.08/6.54 (~xuntil6(s114)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10522, 20788])).
% 9.08/6.54 tff(20790,plain,
% 9.08/6.54 (~always3(s114)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[8882, 20785])).
% 9.08/6.54 tff(20791,plain,
% 9.08/6.54 (~node4(s114)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10509, 22, 20790])).
% 9.08/6.54 tff(20792,plain,
% 9.08/6.54 (xuntil6(s114) | (~until5(s114))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10516, 36, 20791])).
% 9.08/6.54 tff(20793,plain,
% 9.08/6.54 (~until5(s114)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20792, 20789])).
% 9.08/6.54 tff(20794,plain,
% 9.08/6.54 (~xuntil6(s113)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10505, 20793])).
% 9.08/6.54 tff(20795,plain,
% 9.08/6.54 (~always3(s113)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[8894, 20790])).
% 9.08/6.54 tff(20796,plain,
% 9.08/6.54 (~node4(s113)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10492, 22, 20795])).
% 9.08/6.54 tff(20797,plain,
% 9.08/6.54 (xuntil6(s113) | (~until5(s113))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10499, 36, 20796])).
% 9.08/6.54 tff(20798,plain,
% 9.08/6.54 (~until5(s113)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20797, 20794])).
% 9.08/6.54 tff(20799,plain,
% 9.08/6.54 (~xuntil6(s112)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10488, 20798])).
% 9.08/6.54 tff(20800,plain,
% 9.08/6.54 (~always3(s112)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[8906, 20795])).
% 9.08/6.54 tff(20801,plain,
% 9.08/6.54 (~node4(s112)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10475, 22, 20800])).
% 9.08/6.54 tff(20802,plain,
% 9.08/6.54 (xuntil6(s112) | (~until5(s112))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10482, 36, 20801])).
% 9.08/6.54 tff(20803,plain,
% 9.08/6.54 (~until5(s112)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20802, 20799])).
% 9.08/6.54 tff(20804,plain,
% 9.08/6.54 (~xuntil6(s111)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10471, 20803])).
% 9.08/6.54 tff(20805,plain,
% 9.08/6.54 (~always3(s111)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[8918, 20800])).
% 9.08/6.54 tff(20806,plain,
% 9.08/6.54 (~node4(s111)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10458, 22, 20805])).
% 9.08/6.54 tff(20807,plain,
% 9.08/6.54 (xuntil6(s111) | (~until5(s111))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10465, 36, 20806])).
% 9.08/6.54 tff(20808,plain,
% 9.08/6.54 (~until5(s111)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20807, 20804])).
% 9.08/6.54 tff(20809,plain,
% 9.08/6.54 (~xuntil6(s110)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10454, 20808])).
% 9.08/6.54 tff(20810,plain,
% 9.08/6.54 (~always3(s110)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[8930, 20805])).
% 9.08/6.54 tff(20811,plain,
% 9.08/6.54 (~node4(s110)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10441, 22, 20810])).
% 9.08/6.54 tff(20812,plain,
% 9.08/6.54 (xuntil6(s110) | (~until5(s110))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10448, 36, 20811])).
% 9.08/6.54 tff(20813,plain,
% 9.08/6.54 (~until5(s110)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20812, 20809])).
% 9.08/6.54 tff(20814,plain,
% 9.08/6.54 (~xuntil6(s109)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10437, 20813])).
% 9.08/6.54 tff(20815,plain,
% 9.08/6.54 (~always3(s109)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[8942, 20810])).
% 9.08/6.54 tff(20816,plain,
% 9.08/6.54 (~node4(s109)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10424, 22, 20815])).
% 9.08/6.54 tff(20817,plain,
% 9.08/6.54 (xuntil6(s109) | (~until5(s109))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10431, 36, 20816])).
% 9.08/6.54 tff(20818,plain,
% 9.08/6.54 (~until5(s109)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20817, 20814])).
% 9.08/6.54 tff(20819,plain,
% 9.08/6.54 (~xuntil6(s108)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10420, 20818])).
% 9.08/6.54 tff(20820,plain,
% 9.08/6.54 (~always3(s108)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[8954, 20815])).
% 9.08/6.54 tff(20821,plain,
% 9.08/6.54 (~node4(s108)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10407, 22, 20820])).
% 9.08/6.54 tff(20822,plain,
% 9.08/6.54 (xuntil6(s108) | (~until5(s108))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10414, 36, 20821])).
% 9.08/6.54 tff(20823,plain,
% 9.08/6.54 (~until5(s108)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20822, 20819])).
% 9.08/6.54 tff(20824,plain,
% 9.08/6.54 (~xuntil6(s107)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10403, 20823])).
% 9.08/6.54 tff(20825,plain,
% 9.08/6.54 (~always3(s107)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[8966, 20820])).
% 9.08/6.54 tff(20826,plain,
% 9.08/6.54 (~node4(s107)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10390, 22, 20825])).
% 9.08/6.54 tff(20827,plain,
% 9.08/6.54 (xuntil6(s107) | (~until5(s107))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10397, 36, 20826])).
% 9.08/6.54 tff(20828,plain,
% 9.08/6.54 (~until5(s107)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20827, 20824])).
% 9.08/6.54 tff(20829,plain,
% 9.08/6.54 (~xuntil6(s106)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10386, 20828])).
% 9.08/6.54 tff(20830,plain,
% 9.08/6.54 (~always3(s106)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[8978, 20825])).
% 9.08/6.54 tff(20831,plain,
% 9.08/6.54 (~node4(s106)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10373, 22, 20830])).
% 9.08/6.54 tff(20832,plain,
% 9.08/6.54 (xuntil6(s106) | (~until5(s106))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10380, 36, 20831])).
% 9.08/6.54 tff(20833,plain,
% 9.08/6.54 (~until5(s106)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20832, 20829])).
% 9.08/6.54 tff(20834,plain,
% 9.08/6.54 (~xuntil6(s105)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10369, 20833])).
% 9.08/6.54 tff(20835,plain,
% 9.08/6.54 (~always3(s105)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[8990, 20830])).
% 9.08/6.54 tff(20836,plain,
% 9.08/6.54 (~node4(s105)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10356, 22, 20835])).
% 9.08/6.54 tff(20837,plain,
% 9.08/6.54 (xuntil6(s105) | (~until5(s105))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10363, 36, 20836])).
% 9.08/6.54 tff(20838,plain,
% 9.08/6.54 (~until5(s105)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20837, 20834])).
% 9.08/6.54 tff(20839,plain,
% 9.08/6.54 (~xuntil6(s104)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10352, 20838])).
% 9.08/6.54 tff(20840,plain,
% 9.08/6.54 (~always3(s104)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9002, 20835])).
% 9.08/6.54 tff(20841,plain,
% 9.08/6.54 (~node4(s104)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10339, 22, 20840])).
% 9.08/6.54 tff(20842,plain,
% 9.08/6.54 (xuntil6(s104) | (~until5(s104))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10346, 36, 20841])).
% 9.08/6.54 tff(20843,plain,
% 9.08/6.54 (~until5(s104)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20842, 20839])).
% 9.08/6.54 tff(20844,plain,
% 9.08/6.54 (~xuntil6(s103)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10335, 20843])).
% 9.08/6.54 tff(20845,plain,
% 9.08/6.54 (~always3(s103)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9014, 20840])).
% 9.08/6.54 tff(20846,plain,
% 9.08/6.54 (~node4(s103)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10322, 22, 20845])).
% 9.08/6.54 tff(20847,plain,
% 9.08/6.54 (xuntil6(s103) | (~until5(s103))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10329, 36, 20846])).
% 9.08/6.54 tff(20848,plain,
% 9.08/6.54 (~until5(s103)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20847, 20844])).
% 9.08/6.54 tff(20849,plain,
% 9.08/6.54 (~xuntil6(s102)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10318, 20848])).
% 9.08/6.54 tff(20850,plain,
% 9.08/6.54 (~always3(s102)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9026, 20845])).
% 9.08/6.54 tff(20851,plain,
% 9.08/6.54 (~node4(s102)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10305, 22, 20850])).
% 9.08/6.54 tff(20852,plain,
% 9.08/6.54 (xuntil6(s102) | (~until5(s102))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10312, 36, 20851])).
% 9.08/6.54 tff(20853,plain,
% 9.08/6.54 (~until5(s102)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20852, 20849])).
% 9.08/6.54 tff(20854,plain,
% 9.08/6.54 (~xuntil6(s101)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10301, 20853])).
% 9.08/6.54 tff(20855,plain,
% 9.08/6.54 (~always3(s101)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9038, 20850])).
% 9.08/6.54 tff(20856,plain,
% 9.08/6.54 (~node4(s101)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10288, 22, 20855])).
% 9.08/6.54 tff(20857,plain,
% 9.08/6.54 (xuntil6(s101) | (~until5(s101))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10295, 36, 20856])).
% 9.08/6.54 tff(20858,plain,
% 9.08/6.54 (~until5(s101)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20857, 20854])).
% 9.08/6.54 tff(20859,plain,
% 9.08/6.54 (~xuntil6(s100)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10284, 20858])).
% 9.08/6.54 tff(20860,plain,
% 9.08/6.54 (~always3(s100)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9050, 20855])).
% 9.08/6.54 tff(20861,plain,
% 9.08/6.54 (~node4(s100)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10271, 22, 20860])).
% 9.08/6.54 tff(20862,plain,
% 9.08/6.54 (xuntil6(s100) | (~until5(s100))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10278, 36, 20861])).
% 9.08/6.54 tff(20863,plain,
% 9.08/6.54 (~until5(s100)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20862, 20859])).
% 9.08/6.54 tff(20864,plain,
% 9.08/6.54 (~xuntil6(s99)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10267, 20863])).
% 9.08/6.54 tff(20865,plain,
% 9.08/6.54 (~always3(s99)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9062, 20860])).
% 9.08/6.54 tff(20866,plain,
% 9.08/6.54 (~node4(s99)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10254, 22, 20865])).
% 9.08/6.54 tff(20867,plain,
% 9.08/6.54 (xuntil6(s99) | (~until5(s99))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10261, 36, 20866])).
% 9.08/6.54 tff(20868,plain,
% 9.08/6.54 (~until5(s99)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20867, 20864])).
% 9.08/6.54 tff(20869,plain,
% 9.08/6.54 (~xuntil6(s98)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10250, 20868])).
% 9.08/6.54 tff(20870,plain,
% 9.08/6.54 (~always3(s98)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9074, 20865])).
% 9.08/6.54 tff(20871,plain,
% 9.08/6.54 (~node4(s98)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10237, 22, 20870])).
% 9.08/6.54 tff(20872,plain,
% 9.08/6.54 (xuntil6(s98) | (~until5(s98))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10244, 36, 20871])).
% 9.08/6.54 tff(20873,plain,
% 9.08/6.54 (~until5(s98)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20872, 20869])).
% 9.08/6.54 tff(20874,plain,
% 9.08/6.54 (~xuntil6(s97)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10233, 20873])).
% 9.08/6.54 tff(20875,plain,
% 9.08/6.54 (~always3(s97)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9086, 20870])).
% 9.08/6.54 tff(20876,plain,
% 9.08/6.54 (~node4(s97)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10220, 22, 20875])).
% 9.08/6.54 tff(20877,plain,
% 9.08/6.54 (xuntil6(s97) | (~until5(s97))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10227, 36, 20876])).
% 9.08/6.54 tff(20878,plain,
% 9.08/6.54 (~until5(s97)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20877, 20874])).
% 9.08/6.54 tff(20879,plain,
% 9.08/6.54 (~xuntil6(s96)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10216, 20878])).
% 9.08/6.54 tff(20880,plain,
% 9.08/6.54 (~always3(s96)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9098, 20875])).
% 9.08/6.54 tff(20881,plain,
% 9.08/6.54 (~node4(s96)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10203, 22, 20880])).
% 9.08/6.54 tff(20882,plain,
% 9.08/6.54 (xuntil6(s96) | (~until5(s96))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10210, 36, 20881])).
% 9.08/6.54 tff(20883,plain,
% 9.08/6.54 (~until5(s96)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20882, 20879])).
% 9.08/6.54 tff(20884,plain,
% 9.08/6.54 (~xuntil6(s95)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10199, 20883])).
% 9.08/6.54 tff(20885,plain,
% 9.08/6.54 (~always3(s95)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9110, 20880])).
% 9.08/6.54 tff(20886,plain,
% 9.08/6.54 (~node4(s95)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10186, 22, 20885])).
% 9.08/6.54 tff(20887,plain,
% 9.08/6.54 (xuntil6(s95) | (~until5(s95))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10193, 36, 20886])).
% 9.08/6.54 tff(20888,plain,
% 9.08/6.54 (~until5(s95)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20887, 20884])).
% 9.08/6.54 tff(20889,plain,
% 9.08/6.54 (~xuntil6(s94)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10182, 20888])).
% 9.08/6.54 tff(20890,plain,
% 9.08/6.54 (~always3(s94)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9122, 20885])).
% 9.08/6.54 tff(20891,plain,
% 9.08/6.54 (~node4(s94)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10169, 22, 20890])).
% 9.08/6.54 tff(20892,plain,
% 9.08/6.54 (xuntil6(s94) | (~until5(s94))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10176, 36, 20891])).
% 9.08/6.54 tff(20893,plain,
% 9.08/6.54 (~until5(s94)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20892, 20889])).
% 9.08/6.54 tff(20894,plain,
% 9.08/6.54 (~xuntil6(s93)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10165, 20893])).
% 9.08/6.54 tff(20895,plain,
% 9.08/6.54 (~always3(s93)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9134, 20890])).
% 9.08/6.54 tff(20896,plain,
% 9.08/6.54 (~node4(s93)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10152, 22, 20895])).
% 9.08/6.54 tff(20897,plain,
% 9.08/6.54 (xuntil6(s93) | (~until5(s93))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10159, 36, 20896])).
% 9.08/6.54 tff(20898,plain,
% 9.08/6.54 (~until5(s93)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20897, 20894])).
% 9.08/6.54 tff(20899,plain,
% 9.08/6.54 (~xuntil6(s92)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10148, 20898])).
% 9.08/6.54 tff(20900,plain,
% 9.08/6.54 (~always3(s92)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9146, 20895])).
% 9.08/6.54 tff(20901,plain,
% 9.08/6.54 (~node4(s92)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10135, 22, 20900])).
% 9.08/6.54 tff(20902,plain,
% 9.08/6.54 (xuntil6(s92) | (~until5(s92))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10142, 36, 20901])).
% 9.08/6.54 tff(20903,plain,
% 9.08/6.54 (~until5(s92)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20902, 20899])).
% 9.08/6.54 tff(20904,plain,
% 9.08/6.54 (~xuntil6(s91)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10131, 20903])).
% 9.08/6.54 tff(20905,plain,
% 9.08/6.54 (~always3(s91)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9158, 20900])).
% 9.08/6.54 tff(20906,plain,
% 9.08/6.54 (~node4(s91)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10118, 22, 20905])).
% 9.08/6.54 tff(20907,plain,
% 9.08/6.54 (xuntil6(s91) | (~until5(s91))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10125, 36, 20906])).
% 9.08/6.54 tff(20908,plain,
% 9.08/6.54 (~until5(s91)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20907, 20904])).
% 9.08/6.54 tff(20909,plain,
% 9.08/6.54 (~xuntil6(s90)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10114, 20908])).
% 9.08/6.54 tff(20910,plain,
% 9.08/6.54 (~always3(s90)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9170, 20905])).
% 9.08/6.54 tff(20911,plain,
% 9.08/6.54 (~node4(s90)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10101, 22, 20910])).
% 9.08/6.54 tff(20912,plain,
% 9.08/6.54 (xuntil6(s90) | (~until5(s90))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10108, 36, 20911])).
% 9.08/6.54 tff(20913,plain,
% 9.08/6.54 (~until5(s90)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20912, 20909])).
% 9.08/6.54 tff(20914,plain,
% 9.08/6.54 (~xuntil6(s89)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10097, 20913])).
% 9.08/6.54 tff(20915,plain,
% 9.08/6.54 (~always3(s89)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9182, 20910])).
% 9.08/6.54 tff(20916,plain,
% 9.08/6.54 (~node4(s89)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10084, 22, 20915])).
% 9.08/6.54 tff(20917,plain,
% 9.08/6.54 (xuntil6(s89) | (~until5(s89))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10091, 36, 20916])).
% 9.08/6.54 tff(20918,plain,
% 9.08/6.54 (~until5(s89)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20917, 20914])).
% 9.08/6.54 tff(20919,plain,
% 9.08/6.54 (~xuntil6(s88)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10080, 20918])).
% 9.08/6.54 tff(20920,plain,
% 9.08/6.54 (~always3(s88)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9194, 20915])).
% 9.08/6.54 tff(20921,plain,
% 9.08/6.54 (~node4(s88)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10067, 22, 20920])).
% 9.08/6.54 tff(20922,plain,
% 9.08/6.54 (xuntil6(s88) | (~until5(s88))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10074, 36, 20921])).
% 9.08/6.54 tff(20923,plain,
% 9.08/6.54 (~until5(s88)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20922, 20919])).
% 9.08/6.54 tff(20924,plain,
% 9.08/6.54 (~xuntil6(s87)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10063, 20923])).
% 9.08/6.54 tff(20925,plain,
% 9.08/6.54 (~always3(s87)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9206, 20920])).
% 9.08/6.54 tff(20926,plain,
% 9.08/6.54 (~node4(s87)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10050, 22, 20925])).
% 9.08/6.54 tff(20927,plain,
% 9.08/6.54 (xuntil6(s87) | (~until5(s87))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10057, 36, 20926])).
% 9.08/6.54 tff(20928,plain,
% 9.08/6.54 (~until5(s87)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20927, 20924])).
% 9.08/6.54 tff(20929,plain,
% 9.08/6.54 (~xuntil6(s86)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10046, 20928])).
% 9.08/6.54 tff(20930,plain,
% 9.08/6.54 (~always3(s86)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9218, 20925])).
% 9.08/6.54 tff(20931,plain,
% 9.08/6.54 (~node4(s86)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10033, 22, 20930])).
% 9.08/6.54 tff(20932,plain,
% 9.08/6.54 (xuntil6(s86) | (~until5(s86))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10040, 36, 20931])).
% 9.08/6.54 tff(20933,plain,
% 9.08/6.54 (~until5(s86)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20932, 20929])).
% 9.08/6.54 tff(20934,plain,
% 9.08/6.54 (~xuntil6(s85)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10029, 20933])).
% 9.08/6.54 tff(20935,plain,
% 9.08/6.54 (~always3(s85)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9230, 20930])).
% 9.08/6.54 tff(20936,plain,
% 9.08/6.54 (~node4(s85)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10016, 22, 20935])).
% 9.08/6.54 tff(20937,plain,
% 9.08/6.54 (xuntil6(s85) | (~until5(s85))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10023, 36, 20936])).
% 9.08/6.54 tff(20938,plain,
% 9.08/6.54 (~until5(s85)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20937, 20934])).
% 9.08/6.54 tff(20939,plain,
% 9.08/6.54 (~xuntil6(s84)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10012, 20938])).
% 9.08/6.54 tff(20940,plain,
% 9.08/6.54 (~always3(s84)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9242, 20935])).
% 9.08/6.54 tff(20941,plain,
% 9.08/6.54 (~node4(s84)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9999, 22, 20940])).
% 9.08/6.54 tff(20942,plain,
% 9.08/6.54 (xuntil6(s84) | (~until5(s84))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[10006, 36, 20941])).
% 9.08/6.54 tff(20943,plain,
% 9.08/6.54 (~until5(s84)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20942, 20939])).
% 9.08/6.54 tff(20944,plain,
% 9.08/6.54 (~xuntil6(s83)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9995, 20943])).
% 9.08/6.54 tff(20945,plain,
% 9.08/6.54 (~always3(s83)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9254, 20940])).
% 9.08/6.54 tff(20946,plain,
% 9.08/6.54 (~node4(s83)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9982, 22, 20945])).
% 9.08/6.54 tff(20947,plain,
% 9.08/6.54 (xuntil6(s83) | (~until5(s83))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9989, 36, 20946])).
% 9.08/6.54 tff(20948,plain,
% 9.08/6.54 (~until5(s83)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[20947, 20944])).
% 9.08/6.54 tff(20949,plain,
% 9.08/6.54 (~xuntil6(s82)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9978, 20948])).
% 9.08/6.54 tff(20950,plain,
% 9.08/6.54 (~always3(s82)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9266, 20945])).
% 9.08/6.54 tff(20951,plain,
% 9.08/6.54 (~always3(s81)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9278, 20950])).
% 9.08/6.54 tff(20952,plain,
% 9.08/6.54 (~always3(s80)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9290, 20951])).
% 9.08/6.54 tff(20953,plain,
% 9.08/6.54 (~always3(s79)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9302, 20952])).
% 9.08/6.54 tff(20954,plain,
% 9.08/6.54 (~always3(s78)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9314, 20953])).
% 9.08/6.54 tff(20955,plain,
% 9.08/6.54 (~always3(s77)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9326, 20954])).
% 9.08/6.54 tff(20956,plain,
% 9.08/6.54 (~always3(s76)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9338, 20955])).
% 9.08/6.54 tff(20957,plain,
% 9.08/6.54 (~always3(s75)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9350, 20956])).
% 9.08/6.54 tff(20958,plain,
% 9.08/6.54 (~always3(s74)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9362, 20957])).
% 9.08/6.54 tff(20959,plain,
% 9.08/6.54 (~always3(s73)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9374, 20958])).
% 9.08/6.54 tff(20960,plain,
% 9.08/6.54 (~always3(s72)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9386, 20959])).
% 9.08/6.54 tff(20961,plain,
% 9.08/6.54 (~always3(s71)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9398, 20960])).
% 9.08/6.54 tff(20962,plain,
% 9.08/6.54 (~always3(s70)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9410, 20961])).
% 9.08/6.54 tff(20963,plain,
% 9.08/6.54 (~always3(s69)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9422, 20962])).
% 9.08/6.54 tff(20964,plain,
% 9.08/6.54 (~always3(s68)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9434, 20963])).
% 9.08/6.54 tff(20965,plain,
% 9.08/6.54 (~always3(s67)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9446, 20964])).
% 9.08/6.54 tff(20966,plain,
% 9.08/6.54 (~always3(s66)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9458, 20965])).
% 9.08/6.54 tff(20967,plain,
% 9.08/6.54 (~always3(s65)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9470, 20966])).
% 9.08/6.54 tff(20968,plain,
% 9.08/6.54 (~always3(s64)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9482, 20967])).
% 9.08/6.54 tff(20969,plain,
% 9.08/6.54 (~always3(s63)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9494, 20968])).
% 9.08/6.54 tff(20970,plain,
% 9.08/6.54 (~always3(s62)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9506, 20969])).
% 9.08/6.54 tff(20971,plain,
% 9.08/6.54 (~always3(s61)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9518, 20970])).
% 9.08/6.54 tff(20972,plain,
% 9.08/6.54 (~always3(s60)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9530, 20971])).
% 9.08/6.54 tff(20973,plain,
% 9.08/6.54 (~always3(s59)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9542, 20972])).
% 9.08/6.54 tff(20974,plain,
% 9.08/6.54 (~always3(s58)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9558, 20973])).
% 9.08/6.54 tff(20975,plain,
% 9.08/6.54 (~always3(s57)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[5004, 20974])).
% 9.08/6.54 tff(20976,plain,
% 9.08/6.54 (~always3(s56)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4870, 20975])).
% 9.08/6.54 tff(20977,plain,
% 9.08/6.54 (~always3(s55)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4750, 20976])).
% 9.08/6.54 tff(20978,plain,
% 9.08/6.54 (~always3(s54)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4602, 20977])).
% 9.08/6.54 tff(20979,plain,
% 9.08/6.54 (~always3(s53)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4647, 20978])).
% 9.08/6.54 tff(20980,plain,
% 9.08/6.54 (~always3(s52)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4521, 20979])).
% 9.08/6.54 tff(20981,plain,
% 9.08/6.54 (~always3(s51)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4412, 20980])).
% 9.08/6.54 tff(20982,plain,
% 9.08/6.54 (~always3(s50)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4363, 20981])).
% 9.08/6.54 tff(20983,plain,
% 9.08/6.54 (~always3(s49)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3944, 20982])).
% 9.08/6.54 tff(20984,plain,
% 9.08/6.54 (~always3(s48)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3754, 20983])).
% 9.08/6.54 tff(20985,plain,
% 9.08/6.54 (~always3(s47)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3799, 20984])).
% 9.08/6.54 tff(20986,plain,
% 9.08/6.54 (~always3(s46)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3828, 20985])).
% 9.08/6.54 tff(20987,plain,
% 9.08/6.54 (~always3(s45)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3857, 20986])).
% 9.08/6.54 tff(20988,plain,
% 9.08/6.54 (~always3(s44)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3886, 20987])).
% 9.08/6.54 tff(20989,plain,
% 9.08/6.54 (~always3(s43)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3705, 20988])).
% 9.08/6.54 tff(20990,plain,
% 9.08/6.54 (~always3(s42)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3618, 20989])).
% 9.08/6.54 tff(20991,plain,
% 9.08/6.54 (~always3(s41)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3559, 20990])).
% 9.08/6.54 tff(20992,plain,
% 9.08/6.54 (~always3(s40)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3474, 20991])).
% 9.08/6.54 tff(20993,plain,
% 9.08/6.54 (~always3(s39)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3424, 20992])).
% 9.08/6.54 tff(20994,plain,
% 9.08/6.54 (~node4(s39)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3428, 22, 20993])).
% 9.08/6.54 tff(20995,plain,
% 9.08/6.54 (~always3(s38)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3233, 20993])).
% 9.08/6.54 tff(20996,plain,
% 9.08/6.54 (~node4(s38)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3219, 22, 20995])).
% 9.08/6.54 tff(20997,plain,
% 9.08/6.54 (~always3(s37)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[2932, 20995])).
% 9.08/6.54 tff(20998,plain,
% 9.08/6.54 (xuntil6(s37)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3202, 20997])).
% 9.08/6.54 tff(20999,plain,
% 9.08/6.54 (until5(s38)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3207, 20998])).
% 9.08/6.54 tff(21000,plain,
% 9.08/6.54 (xuntil6(s38) | node4(s38)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3214, 36, 20999])).
% 9.08/6.54 tff(21001,plain,
% 9.08/6.54 (xuntil6(s38)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[21000, 20996])).
% 9.08/6.54 tff(21002,plain,
% 9.08/6.54 (until5(s39)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3410, 21001])).
% 9.08/6.54 tff(21003,plain,
% 9.08/6.54 (xuntil6(s39)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3460, 36, 21002, 20994])).
% 9.08/6.54 tff(21004,plain,
% 9.08/6.54 (until5(s40)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3445, 21003])).
% 9.08/6.54 tff(21005,plain,
% 9.08/6.54 (~node4(s40)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3432, 22, 20992])).
% 9.08/6.54 tff(21006,plain,
% 9.08/6.54 (xuntil6(s40) | (~until5(s40))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3439, 36, 21005])).
% 9.08/6.54 tff(21007,plain,
% 9.08/6.54 (xuntil6(s40)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[21006, 21004])).
% 9.08/6.54 tff(21008,plain,
% 9.08/6.54 (until5(s41)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3545, 21007])).
% 9.08/6.54 tff(21009,plain,
% 9.08/6.54 (~node4(s41)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3563, 22, 20991])).
% 9.08/6.54 tff(21010,plain,
% 9.08/6.54 (xuntil6(s41) | (~until5(s41))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3587, 36, 21009])).
% 9.08/6.54 tff(21011,plain,
% 9.08/6.54 (xuntil6(s41)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[21010, 21008])).
% 9.08/6.54 tff(21012,plain,
% 9.08/6.54 (until5(s42)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3580, 21011])).
% 9.08/6.54 tff(21013,plain,
% 9.08/6.54 (~node4(s42)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3567, 22, 20990])).
% 9.08/6.54 tff(21014,plain,
% 9.08/6.54 (xuntil6(s42) | (~until5(s42))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3574, 36, 21013])).
% 9.08/6.54 tff(21015,plain,
% 9.08/6.54 (xuntil6(s42)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[21014, 21012])).
% 9.08/6.54 tff(21016,plain,
% 9.08/6.54 (until5(s43)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3684, 21015])).
% 9.08/6.54 tff(21017,plain,
% 9.08/6.54 (~node4(s43)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3693, 22, 20989])).
% 9.08/6.54 tff(21018,plain,
% 9.08/6.54 (xuntil6(s43) | (~until5(s43))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3734, 36, 21017])).
% 9.08/6.54 tff(21019,plain,
% 9.08/6.54 (xuntil6(s43)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[21018, 21016])).
% 9.08/6.54 tff(21020,plain,
% 9.08/6.54 (until5(s44)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3740, 21019])).
% 9.08/6.54 tff(21021,plain,
% 9.08/6.54 (~node4(s44)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3890, 22, 20988])).
% 9.08/6.54 tff(21022,plain,
% 9.08/6.54 (xuntil6(s44) | (~until5(s44))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3897, 36, 21021])).
% 9.08/6.54 tff(21023,plain,
% 9.08/6.54 (xuntil6(s44)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[21022, 21020])).
% 9.08/6.54 tff(21024,plain,
% 9.08/6.54 (until5(s45)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3877, 21023])).
% 9.08/6.54 tff(21025,plain,
% 9.08/6.54 (~node4(s45)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3861, 22, 20987])).
% 9.08/6.54 tff(21026,plain,
% 9.08/6.54 (xuntil6(s45) | (~until5(s45))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3868, 36, 21025])).
% 9.08/6.54 tff(21027,plain,
% 9.08/6.54 (xuntil6(s45)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[21026, 21024])).
% 9.08/6.54 tff(21028,plain,
% 9.08/6.54 (until5(s46)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3848, 21027])).
% 9.08/6.54 tff(21029,plain,
% 9.08/6.54 (~node4(s46)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3832, 22, 20986])).
% 9.08/6.54 tff(21030,plain,
% 9.08/6.54 (xuntil6(s46) | (~until5(s46))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3839, 36, 21029])).
% 9.08/6.54 tff(21031,plain,
% 9.08/6.54 (xuntil6(s46)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[21030, 21028])).
% 9.08/6.54 tff(21032,plain,
% 9.08/6.54 (until5(s47)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3819, 21031])).
% 9.08/6.54 tff(21033,plain,
% 9.08/6.54 (~node4(s47)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3803, 22, 20985])).
% 9.08/6.54 tff(21034,plain,
% 9.08/6.54 (xuntil6(s47) | (~until5(s47))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3810, 36, 21033])).
% 9.08/6.54 tff(21035,plain,
% 9.08/6.54 (xuntil6(s47)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[21034, 21032])).
% 9.08/6.54 tff(21036,plain,
% 9.08/6.54 (until5(s48)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3790, 21035])).
% 9.08/6.54 tff(21037,plain,
% 9.08/6.54 (~node4(s48)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3758, 22, 20984])).
% 9.08/6.54 tff(21038,plain,
% 9.08/6.54 (xuntil6(s48) | (~until5(s48))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3782, 36, 21037])).
% 9.08/6.54 tff(21039,plain,
% 9.08/6.54 (xuntil6(s48)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[21038, 21036])).
% 9.08/6.54 tff(21040,plain,
% 9.08/6.54 (until5(s49)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3775, 21039])).
% 9.08/6.54 tff(21041,plain,
% 9.08/6.54 (~node4(s49)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3762, 22, 20983])).
% 9.08/6.54 tff(21042,plain,
% 9.08/6.54 (xuntil6(s49) | (~until5(s49))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[3769, 36, 21041])).
% 9.08/6.54 tff(21043,plain,
% 9.08/6.54 (xuntil6(s49)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[21042, 21040])).
% 9.08/6.54 tff(21044,plain,
% 9.08/6.54 (until5(s50)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4342, 21043])).
% 9.08/6.54 tff(21045,plain,
% 9.08/6.54 (~node4(s50)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4351, 22, 20982])).
% 9.08/6.54 tff(21046,plain,
% 9.08/6.54 (xuntil6(s50) | (~until5(s50))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4392, 36, 21045])).
% 9.08/6.54 tff(21047,plain,
% 9.08/6.54 (xuntil6(s50)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[21046, 21044])).
% 9.08/6.54 tff(21048,plain,
% 9.08/6.54 (until5(s51)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4398, 21047])).
% 9.08/6.54 tff(21049,plain,
% 9.08/6.54 (~node4(s51)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4416, 22, 20981])).
% 9.08/6.54 tff(21050,plain,
% 9.08/6.54 (xuntil6(s51) | (~until5(s51))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4440, 36, 21049])).
% 9.08/6.54 tff(21051,plain,
% 9.08/6.54 (xuntil6(s51)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[21050, 21048])).
% 9.08/6.54 tff(21052,plain,
% 9.08/6.54 (until5(s52)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4433, 21051])).
% 9.08/6.54 tff(21053,plain,
% 9.08/6.54 (~node4(s52)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4420, 22, 20980])).
% 9.08/6.54 tff(21054,plain,
% 9.08/6.54 (xuntil6(s52) | (~until5(s52))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4427, 36, 21053])).
% 9.08/6.54 tff(21055,plain,
% 9.08/6.54 (xuntil6(s52)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[21054, 21052])).
% 9.08/6.54 tff(21056,plain,
% 9.08/6.54 (until5(s53)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4587, 21055])).
% 9.08/6.54 tff(21057,plain,
% 9.08/6.54 (~node4(s53)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4651, 22, 20979])).
% 9.08/6.54 tff(21058,plain,
% 9.08/6.54 (xuntil6(s53) | (~until5(s53))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4658, 36, 21057])).
% 9.08/6.54 tff(21059,plain,
% 9.08/6.54 (xuntil6(s53)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[21058, 21056])).
% 9.08/6.54 tff(21060,plain,
% 9.08/6.54 (until5(s54)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4638, 21059])).
% 9.08/6.54 tff(21061,plain,
% 9.08/6.54 (~node4(s54)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4606, 22, 20978])).
% 9.08/6.54 tff(21062,plain,
% 9.08/6.54 (xuntil6(s54) | (~until5(s54))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4630, 36, 21061])).
% 9.08/6.54 tff(21063,plain,
% 9.08/6.54 (xuntil6(s54)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[21062, 21060])).
% 9.08/6.54 tff(21064,plain,
% 9.08/6.54 (until5(s55)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4623, 21063])).
% 9.08/6.54 tff(21065,plain,
% 9.08/6.54 (~node4(s55)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4610, 22, 20977])).
% 9.08/6.54 tff(21066,plain,
% 9.08/6.54 (xuntil6(s55) | (~until5(s55))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4617, 36, 21065])).
% 9.08/6.54 tff(21067,plain,
% 9.08/6.54 (xuntil6(s55)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[21066, 21064])).
% 9.08/6.54 tff(21068,plain,
% 9.08/6.54 (until5(s56)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4856, 21067])).
% 9.08/6.54 tff(21069,plain,
% 9.08/6.54 (~node4(s56)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4874, 22, 20976])).
% 9.08/6.54 tff(21070,plain,
% 9.08/6.54 (xuntil6(s56) | (~until5(s56))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4898, 36, 21069])).
% 9.08/6.54 tff(21071,plain,
% 9.08/6.54 (xuntil6(s56)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[21070, 21068])).
% 9.08/6.54 tff(21072,plain,
% 9.08/6.54 (until5(s57)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4891, 21071])).
% 9.08/6.54 tff(21073,plain,
% 9.08/6.54 (~node4(s57)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4878, 22, 20975])).
% 9.08/6.54 tff(21074,plain,
% 9.08/6.54 (xuntil6(s57) | (~until5(s57))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[4885, 36, 21073])).
% 9.08/6.54 tff(21075,plain,
% 9.08/6.54 (xuntil6(s57)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[21074, 21072])).
% 9.08/6.54 tff(21076,plain,
% 9.08/6.54 (until5(s58)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[5070, 21075])).
% 9.08/6.54 tff(21077,plain,
% 9.08/6.54 (~node4(s58)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9562, 22, 20974])).
% 9.08/6.54 tff(21078,plain,
% 9.08/6.54 (xuntil6(s58) | (~until5(s58))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9569, 36, 21077])).
% 9.08/6.54 tff(21079,plain,
% 9.08/6.54 (xuntil6(s58)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[21078, 21076])).
% 9.08/6.54 tff(21080,plain,
% 9.08/6.54 (until5(s59)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9575, 21079])).
% 9.08/6.54 tff(21081,plain,
% 9.08/6.54 (~node4(s59)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9546, 22, 20973])).
% 9.08/6.54 tff(21082,plain,
% 9.08/6.54 (xuntil6(s59) | (~until5(s59))),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9582, 36, 21081])).
% 9.08/6.54 tff(21083,plain,
% 9.08/6.54 (xuntil6(s59)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[21082, 21080])).
% 9.08/6.54 tff(21084,plain,
% 9.08/6.54 (until5(s60)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9587, 21083])).
% 9.08/6.54 tff(21085,plain,
% 9.08/6.54 (~node4(s60)),
% 9.08/6.54 inference(unit_resolution,[status(thm)],[9591, 22, 20972])).
% 9.08/6.54 tff(21086,plain,
% 9.08/6.54 (xuntil6(s60) | (~until5(s60))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9598, 36, 21085])).
% 9.08/6.55 tff(21087,plain,
% 9.08/6.55 (xuntil6(s60)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21086, 21084])).
% 9.08/6.55 tff(21088,plain,
% 9.08/6.55 (until5(s61)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9604, 21087])).
% 9.08/6.55 tff(21089,plain,
% 9.08/6.55 (~node4(s61)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9608, 22, 20971])).
% 9.08/6.55 tff(21090,plain,
% 9.08/6.55 (xuntil6(s61) | (~until5(s61))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9615, 36, 21089])).
% 9.08/6.55 tff(21091,plain,
% 9.08/6.55 (xuntil6(s61)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21090, 21088])).
% 9.08/6.55 tff(21092,plain,
% 9.08/6.55 (until5(s62)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9621, 21091])).
% 9.08/6.55 tff(21093,plain,
% 9.08/6.55 (~node4(s62)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9625, 22, 20970])).
% 9.08/6.55 tff(21094,plain,
% 9.08/6.55 (xuntil6(s62) | (~until5(s62))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9632, 36, 21093])).
% 9.08/6.55 tff(21095,plain,
% 9.08/6.55 (xuntil6(s62)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21094, 21092])).
% 9.08/6.55 tff(21096,plain,
% 9.08/6.55 (until5(s63)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9638, 21095])).
% 9.08/6.55 tff(21097,plain,
% 9.08/6.55 (~node4(s63)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9642, 22, 20969])).
% 9.08/6.55 tff(21098,plain,
% 9.08/6.55 (xuntil6(s63) | (~until5(s63))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9649, 36, 21097])).
% 9.08/6.55 tff(21099,plain,
% 9.08/6.55 (xuntil6(s63)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21098, 21096])).
% 9.08/6.55 tff(21100,plain,
% 9.08/6.55 (until5(s64)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9655, 21099])).
% 9.08/6.55 tff(21101,plain,
% 9.08/6.55 (~node4(s64)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9659, 22, 20968])).
% 9.08/6.55 tff(21102,plain,
% 9.08/6.55 (xuntil6(s64) | (~until5(s64))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9666, 36, 21101])).
% 9.08/6.55 tff(21103,plain,
% 9.08/6.55 (xuntil6(s64)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21102, 21100])).
% 9.08/6.55 tff(21104,plain,
% 9.08/6.55 (until5(s65)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9672, 21103])).
% 9.08/6.55 tff(21105,plain,
% 9.08/6.55 (~node4(s65)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9676, 22, 20967])).
% 9.08/6.55 tff(21106,plain,
% 9.08/6.55 (xuntil6(s65) | (~until5(s65))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9683, 36, 21105])).
% 9.08/6.55 tff(21107,plain,
% 9.08/6.55 (xuntil6(s65)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21106, 21104])).
% 9.08/6.55 tff(21108,plain,
% 9.08/6.55 (until5(s66)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9689, 21107])).
% 9.08/6.55 tff(21109,plain,
% 9.08/6.55 (~node4(s66)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9693, 22, 20966])).
% 9.08/6.55 tff(21110,plain,
% 9.08/6.55 (xuntil6(s66) | (~until5(s66))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9700, 36, 21109])).
% 9.08/6.55 tff(21111,plain,
% 9.08/6.55 (xuntil6(s66)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21110, 21108])).
% 9.08/6.55 tff(21112,plain,
% 9.08/6.55 (until5(s67)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9706, 21111])).
% 9.08/6.55 tff(21113,plain,
% 9.08/6.55 (~node4(s67)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9710, 22, 20965])).
% 9.08/6.55 tff(21114,plain,
% 9.08/6.55 (xuntil6(s67) | (~until5(s67))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9717, 36, 21113])).
% 9.08/6.55 tff(21115,plain,
% 9.08/6.55 (xuntil6(s67)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21114, 21112])).
% 9.08/6.55 tff(21116,plain,
% 9.08/6.55 (until5(s68)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9723, 21115])).
% 9.08/6.55 tff(21117,plain,
% 9.08/6.55 (~node4(s68)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9727, 22, 20964])).
% 9.08/6.55 tff(21118,plain,
% 9.08/6.55 (xuntil6(s68) | (~until5(s68))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9734, 36, 21117])).
% 9.08/6.55 tff(21119,plain,
% 9.08/6.55 (xuntil6(s68)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21118, 21116])).
% 9.08/6.55 tff(21120,plain,
% 9.08/6.55 (until5(s69)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9740, 21119])).
% 9.08/6.55 tff(21121,plain,
% 9.08/6.55 (~node4(s69)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9744, 22, 20963])).
% 9.08/6.55 tff(21122,plain,
% 9.08/6.55 (xuntil6(s69) | (~until5(s69))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9751, 36, 21121])).
% 9.08/6.55 tff(21123,plain,
% 9.08/6.55 (xuntil6(s69)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21122, 21120])).
% 9.08/6.55 tff(21124,plain,
% 9.08/6.55 (until5(s70)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9757, 21123])).
% 9.08/6.55 tff(21125,plain,
% 9.08/6.55 (~node4(s70)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9761, 22, 20962])).
% 9.08/6.55 tff(21126,plain,
% 9.08/6.55 (xuntil6(s70) | (~until5(s70))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9768, 36, 21125])).
% 9.08/6.55 tff(21127,plain,
% 9.08/6.55 (xuntil6(s70)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21126, 21124])).
% 9.08/6.55 tff(21128,plain,
% 9.08/6.55 (until5(s71)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9774, 21127])).
% 9.08/6.55 tff(21129,plain,
% 9.08/6.55 (~node4(s71)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9778, 22, 20961])).
% 9.08/6.55 tff(21130,plain,
% 9.08/6.55 (xuntil6(s71) | (~until5(s71))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9785, 36, 21129])).
% 9.08/6.55 tff(21131,plain,
% 9.08/6.55 (xuntil6(s71)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21130, 21128])).
% 9.08/6.55 tff(21132,plain,
% 9.08/6.55 (until5(s72)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9791, 21131])).
% 9.08/6.55 tff(21133,plain,
% 9.08/6.55 (~node4(s72)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9795, 22, 20960])).
% 9.08/6.55 tff(21134,plain,
% 9.08/6.55 (xuntil6(s72) | (~until5(s72))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9802, 36, 21133])).
% 9.08/6.55 tff(21135,plain,
% 9.08/6.55 (xuntil6(s72)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21134, 21132])).
% 9.08/6.55 tff(21136,plain,
% 9.08/6.55 (until5(s73)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9808, 21135])).
% 9.08/6.55 tff(21137,plain,
% 9.08/6.55 (~node4(s73)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9812, 22, 20959])).
% 9.08/6.55 tff(21138,plain,
% 9.08/6.55 (xuntil6(s73) | (~until5(s73))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9819, 36, 21137])).
% 9.08/6.55 tff(21139,plain,
% 9.08/6.55 (xuntil6(s73)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21138, 21136])).
% 9.08/6.55 tff(21140,plain,
% 9.08/6.55 (until5(s74)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9825, 21139])).
% 9.08/6.55 tff(21141,plain,
% 9.08/6.55 (~node4(s74)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9829, 22, 20958])).
% 9.08/6.55 tff(21142,plain,
% 9.08/6.55 (xuntil6(s74) | (~until5(s74))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9836, 36, 21141])).
% 9.08/6.55 tff(21143,plain,
% 9.08/6.55 (xuntil6(s74)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21142, 21140])).
% 9.08/6.55 tff(21144,plain,
% 9.08/6.55 (until5(s75)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9842, 21143])).
% 9.08/6.55 tff(21145,plain,
% 9.08/6.55 (~node4(s75)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9846, 22, 20957])).
% 9.08/6.55 tff(21146,plain,
% 9.08/6.55 (xuntil6(s75) | (~until5(s75))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9853, 36, 21145])).
% 9.08/6.55 tff(21147,plain,
% 9.08/6.55 (xuntil6(s75)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21146, 21144])).
% 9.08/6.55 tff(21148,plain,
% 9.08/6.55 (until5(s76)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9859, 21147])).
% 9.08/6.55 tff(21149,plain,
% 9.08/6.55 (~node4(s76)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9863, 22, 20956])).
% 9.08/6.55 tff(21150,plain,
% 9.08/6.55 (xuntil6(s76) | (~until5(s76))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9870, 36, 21149])).
% 9.08/6.55 tff(21151,plain,
% 9.08/6.55 (xuntil6(s76)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21150, 21148])).
% 9.08/6.55 tff(21152,plain,
% 9.08/6.55 (until5(s77)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9876, 21151])).
% 9.08/6.55 tff(21153,plain,
% 9.08/6.55 (~node4(s77)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9880, 22, 20955])).
% 9.08/6.55 tff(21154,plain,
% 9.08/6.55 (xuntil6(s77) | (~until5(s77))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9887, 36, 21153])).
% 9.08/6.55 tff(21155,plain,
% 9.08/6.55 (xuntil6(s77)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21154, 21152])).
% 9.08/6.55 tff(21156,plain,
% 9.08/6.55 (until5(s78)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9893, 21155])).
% 9.08/6.55 tff(21157,plain,
% 9.08/6.55 (~node4(s78)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9897, 22, 20954])).
% 9.08/6.55 tff(21158,plain,
% 9.08/6.55 (xuntil6(s78) | (~until5(s78))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9904, 36, 21157])).
% 9.08/6.55 tff(21159,plain,
% 9.08/6.55 (xuntil6(s78)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21158, 21156])).
% 9.08/6.55 tff(21160,plain,
% 9.08/6.55 (until5(s79)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9910, 21159])).
% 9.08/6.55 tff(21161,plain,
% 9.08/6.55 (~node4(s79)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9914, 22, 20953])).
% 9.08/6.55 tff(21162,plain,
% 9.08/6.55 (xuntil6(s79) | (~until5(s79))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9921, 36, 21161])).
% 9.08/6.55 tff(21163,plain,
% 9.08/6.55 (xuntil6(s79)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21162, 21160])).
% 9.08/6.55 tff(21164,plain,
% 9.08/6.55 (until5(s80)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9927, 21163])).
% 9.08/6.55 tff(21165,plain,
% 9.08/6.55 (~node4(s80)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9931, 22, 20952])).
% 9.08/6.55 tff(21166,plain,
% 9.08/6.55 (xuntil6(s80) | (~until5(s80))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9938, 36, 21165])).
% 9.08/6.55 tff(21167,plain,
% 9.08/6.55 (xuntil6(s80)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21166, 21164])).
% 9.08/6.55 tff(21168,plain,
% 9.08/6.55 (until5(s81)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9944, 21167])).
% 9.08/6.55 tff(21169,plain,
% 9.08/6.55 (~node4(s81)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9948, 22, 20951])).
% 9.08/6.55 tff(21170,plain,
% 9.08/6.55 (xuntil6(s81) | (~until5(s81))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9955, 36, 21169])).
% 9.08/6.55 tff(21171,plain,
% 9.08/6.55 (xuntil6(s81)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21170, 21168])).
% 9.08/6.55 tff(21172,plain,
% 9.08/6.55 (until5(s82)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9961, 21171])).
% 9.08/6.55 tff(21173,plain,
% 9.08/6.55 (~node4(s82)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9965, 22, 20950])).
% 9.08/6.55 tff(21174,plain,
% 9.08/6.55 (xuntil6(s82) | (~until5(s82))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9972, 36, 21173])).
% 9.08/6.55 tff(21175,plain,
% 9.08/6.55 ($false),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21174, 21172, 20949])).
% 9.08/6.55 tff(21176,plain,(always3(s126) | xuntil6(s126)), inference(lemma,lemma(discharge,[]))).
% 9.08/6.55 tff(21177,plain,
% 9.08/6.55 (always3(s126)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21176, 20730])).
% 9.08/6.55 tff(21178,plain,
% 9.08/6.55 (always3(s127)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[8738, 21177])).
% 9.08/6.55 tff(21179,plain,
% 9.08/6.55 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s127)) | (~m_main_v_state(s127, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s127)) | (~m_main_v_state(s127, c_busy)))),
% 9.08/6.55 inference(rewrite,[status(thm)],[])).
% 9.08/6.55 tff(21180,plain,
% 9.08/6.55 (((~m_main_v_state(s127, c_busy)) | (~always3(s127))) <=> ((~always3(s127)) | (~m_main_v_state(s127, c_busy)))),
% 9.08/6.55 inference(rewrite,[status(thm)],[])).
% 9.08/6.55 tff(21181,plain,
% 9.08/6.55 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s127, c_busy)) | (~always3(s127)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s127)) | (~m_main_v_state(s127, c_busy))))),
% 9.08/6.55 inference(monotonicity,[status(thm)],[21180])).
% 9.08/6.55 tff(21182,plain,
% 9.08/6.55 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s127, c_busy)) | (~always3(s127)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s127)) | (~m_main_v_state(s127, c_busy)))),
% 9.08/6.55 inference(transitivity,[status(thm)],[21181, 21179])).
% 9.08/6.55 tff(21183,plain,
% 9.08/6.55 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s127, c_busy)) | (~always3(s127)))),
% 9.08/6.55 inference(quant_inst,[status(thm)],[])).
% 9.08/6.55 tff(21184,plain,
% 9.08/6.55 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s127)) | (~m_main_v_state(s127, c_busy))),
% 9.08/6.55 inference(modus_ponens,[status(thm)],[21183, 21182])).
% 9.08/6.55 tff(21185,plain,
% 9.08/6.55 (~m_main_v_state(s127, c_busy)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21184, 170, 21178])).
% 9.08/6.55 tff(21186,plain,
% 9.08/6.55 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s126)) | (~m_main_v_state(s126, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s126)) | (~m_main_v_state(s126, c_busy)))),
% 9.08/6.55 inference(rewrite,[status(thm)],[])).
% 9.08/6.55 tff(21187,plain,
% 9.08/6.55 (((~m_main_v_state(s126, c_busy)) | (~always3(s126))) <=> ((~always3(s126)) | (~m_main_v_state(s126, c_busy)))),
% 9.08/6.55 inference(rewrite,[status(thm)],[])).
% 9.08/6.55 tff(21188,plain,
% 9.08/6.55 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s126, c_busy)) | (~always3(s126)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s126)) | (~m_main_v_state(s126, c_busy))))),
% 9.08/6.55 inference(monotonicity,[status(thm)],[21187])).
% 9.08/6.55 tff(21189,plain,
% 9.08/6.55 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s126, c_busy)) | (~always3(s126)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s126)) | (~m_main_v_state(s126, c_busy)))),
% 9.08/6.55 inference(transitivity,[status(thm)],[21188, 21186])).
% 9.08/6.55 tff(21190,plain,
% 9.08/6.55 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s126, c_busy)) | (~always3(s126)))),
% 9.08/6.55 inference(quant_inst,[status(thm)],[])).
% 9.08/6.55 tff(21191,plain,
% 9.08/6.55 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s126)) | (~m_main_v_state(s126, c_busy))),
% 9.08/6.55 inference(modus_ponens,[status(thm)],[21190, 21189])).
% 9.08/6.55 tff(21192,plain,
% 9.08/6.55 (~m_main_v_state(s126, c_busy)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21191, 170, 21177])).
% 9.08/6.55 tff(21193,plain,
% 9.08/6.55 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s126, c_busy) | m_main_v_state(s126, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s126, c_busy) | m_main_v_state(s126, c_ready))),
% 9.08/6.55 inference(rewrite,[status(thm)],[])).
% 9.08/6.55 tff(21194,plain,
% 9.08/6.55 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s126, c_busy) | m_main_v_state(s126, c_ready))),
% 9.08/6.55 inference(quant_inst,[status(thm)],[])).
% 9.08/6.55 tff(21195,plain,
% 9.08/6.55 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s126, c_busy) | m_main_v_state(s126, c_ready)),
% 9.08/6.55 inference(modus_ponens,[status(thm)],[21194, 21193])).
% 9.08/6.55 tff(21196,plain,
% 9.08/6.55 (m_main_v_state(s126, c_ready)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21195, 213, 21192])).
% 9.08/6.55 tff(21197,assumption,(~m_main_v_state(s126, c_busy)), introduced(assumption)).
% 9.08/6.55 tff(21198,assumption,(node4(s125)), introduced(assumption)).
% 9.08/6.55 tff(21199,plain,
% 9.08/6.55 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s125) | (~node4(s125)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s125) | (~node4(s125)))),
% 9.08/6.55 inference(rewrite,[status(thm)],[])).
% 9.08/6.55 tff(21200,plain,
% 9.08/6.55 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s125) | (~node4(s125)))),
% 9.08/6.55 inference(quant_inst,[status(thm)],[])).
% 9.08/6.55 tff(21201,plain,
% 9.08/6.55 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s125) | (~node4(s125))),
% 9.08/6.55 inference(modus_ponens,[status(thm)],[21200, 21199])).
% 9.08/6.55 tff(21202,plain,
% 9.08/6.55 (m_main_v_request(s125)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21201, 154, 21198])).
% 9.08/6.55 tff(21203,plain,
% 9.08/6.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s125, s126)) | node2(s125, s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s125, s126)) | node2(s125, s126))),
% 9.08/6.55 inference(rewrite,[status(thm)],[])).
% 9.08/6.55 tff(21204,plain,
% 9.08/6.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s125, s126)) | node2(s125, s126))),
% 9.08/6.55 inference(quant_inst,[status(thm)],[])).
% 9.08/6.55 tff(21205,plain,
% 9.08/6.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s125, s126)) | node2(s125, s126)),
% 9.08/6.55 inference(modus_ponens,[status(thm)],[21204, 21203])).
% 9.08/6.55 tff(21206,plain,
% 9.08/6.55 (node2(s125, s126)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21205, 7, 8746])).
% 9.08/6.55 tff(21207,plain,
% 9.08/6.55 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s125, c_ready)) | (~node2(s125, s126)) | m_main_v_state(s126, c_busy) | (~m_main_v_request(s125)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s125, c_ready)) | (~node2(s125, s126)) | m_main_v_state(s126, c_busy) | (~m_main_v_request(s125)))),
% 9.08/6.55 inference(rewrite,[status(thm)],[])).
% 9.08/6.55 tff(21208,plain,
% 9.08/6.55 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s125, c_ready)) | (~node2(s125, s126)) | m_main_v_state(s126, c_busy) | (~m_main_v_request(s125)))),
% 9.08/6.55 inference(quant_inst,[status(thm)],[])).
% 9.08/6.55 tff(21209,plain,
% 9.08/6.55 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s125, c_ready)) | (~node2(s125, s126)) | m_main_v_state(s126, c_busy) | (~m_main_v_request(s125))),
% 9.08/6.55 inference(modus_ponens,[status(thm)],[21208, 21207])).
% 9.08/6.55 tff(21210,plain,
% 9.08/6.55 ((~m_main_v_state(s125, c_ready)) | m_main_v_state(s126, c_busy) | (~m_main_v_request(s125))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21209, 191, 21206])).
% 9.08/6.55 tff(21211,plain,
% 9.08/6.55 (~m_main_v_state(s125, c_ready)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21210, 21202, 21197])).
% 9.08/6.55 tff(21212,plain,
% 9.08/6.55 (always3(s125)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10696, 22, 21198])).
% 9.08/6.55 tff(21213,plain,
% 9.08/6.55 (~m_main_v_state(s125, c_busy)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[20673, 170, 21212])).
% 9.08/6.55 tff(21214,plain,
% 9.08/6.55 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s125, c_busy) | m_main_v_state(s125, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s125, c_busy) | m_main_v_state(s125, c_ready))),
% 9.08/6.55 inference(rewrite,[status(thm)],[])).
% 9.08/6.55 tff(21215,plain,
% 9.08/6.55 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s125, c_busy) | m_main_v_state(s125, c_ready))),
% 9.08/6.55 inference(quant_inst,[status(thm)],[])).
% 9.08/6.55 tff(21216,plain,
% 9.08/6.55 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s125, c_busy) | m_main_v_state(s125, c_ready)),
% 9.08/6.55 inference(modus_ponens,[status(thm)],[21215, 21214])).
% 9.08/6.55 tff(21217,plain,
% 9.08/6.55 ($false),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21216, 213, 21213, 21211])).
% 9.08/6.55 tff(21218,plain,((~node4(s125)) | m_main_v_state(s126, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.08/6.55 tff(21219,plain,
% 9.08/6.55 (~node4(s125)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21218, 21192])).
% 9.08/6.55 tff(21220,assumption,(until5(s125)), introduced(assumption)).
% 9.08/6.55 tff(21221,plain,
% 9.08/6.55 (xuntil6(s125) | node4(s125)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10703, 36, 21220])).
% 9.08/6.55 tff(21222,plain,
% 9.08/6.55 (xuntil6(s125)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21221, 21219])).
% 9.08/6.55 tff(21223,plain,
% 9.08/6.55 (until5(s126)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10709, 21222])).
% 9.08/6.55 tff(21224,plain,
% 9.08/6.55 (node4(s126)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[20735, 21223])).
% 9.08/6.55 tff(21225,plain,
% 9.08/6.55 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s126) | (~node4(s126)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s126) | (~node4(s126)))),
% 9.08/6.55 inference(rewrite,[status(thm)],[])).
% 9.08/6.55 tff(21226,plain,
% 9.08/6.55 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s126) | (~node4(s126)))),
% 9.08/6.55 inference(quant_inst,[status(thm)],[])).
% 9.08/6.55 tff(21227,plain,
% 9.08/6.55 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s126) | (~node4(s126))),
% 9.08/6.55 inference(modus_ponens,[status(thm)],[21226, 21225])).
% 9.08/6.55 tff(21228,plain,
% 9.08/6.55 (m_main_v_request(s126)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21227, 154, 21224])).
% 9.08/6.55 tff(21229,plain,
% 9.08/6.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s126, s127)) | node2(s126, s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s126, s127)) | node2(s126, s127))),
% 9.08/6.55 inference(rewrite,[status(thm)],[])).
% 9.08/6.55 tff(21230,plain,
% 9.08/6.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s126, s127)) | node2(s126, s127))),
% 9.08/6.55 inference(quant_inst,[status(thm)],[])).
% 9.08/6.55 tff(21231,plain,
% 9.08/6.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s126, s127)) | node2(s126, s127)),
% 9.08/6.55 inference(modus_ponens,[status(thm)],[21230, 21229])).
% 9.08/6.55 tff(21232,plain,
% 9.08/6.55 (node2(s126, s127)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21231, 7, 8734])).
% 9.08/6.55 tff(21233,plain,
% 9.08/6.55 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s126, c_ready)) | (~node2(s126, s127)) | m_main_v_state(s127, c_busy) | (~m_main_v_request(s126)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s126, c_ready)) | (~node2(s126, s127)) | m_main_v_state(s127, c_busy) | (~m_main_v_request(s126)))),
% 9.08/6.55 inference(rewrite,[status(thm)],[])).
% 9.08/6.55 tff(21234,plain,
% 9.08/6.55 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s126, c_ready)) | (~node2(s126, s127)) | m_main_v_state(s127, c_busy) | (~m_main_v_request(s126)))),
% 9.08/6.55 inference(quant_inst,[status(thm)],[])).
% 9.08/6.55 tff(21235,plain,
% 9.08/6.55 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s126, c_ready)) | (~node2(s126, s127)) | m_main_v_state(s127, c_busy) | (~m_main_v_request(s126))),
% 9.08/6.55 inference(modus_ponens,[status(thm)],[21234, 21233])).
% 9.08/6.55 tff(21236,plain,
% 9.08/6.55 ((~m_main_v_state(s126, c_ready)) | m_main_v_state(s127, c_busy) | (~m_main_v_request(s126))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21235, 191, 21232])).
% 9.08/6.55 tff(21237,plain,
% 9.08/6.55 ($false),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21236, 21228, 21196, 21185])).
% 9.08/6.55 tff(21238,plain,(xuntil6(s126) | (~until5(s125))), inference(lemma,lemma(discharge,[]))).
% 9.08/6.55 tff(21239,plain,
% 9.08/6.55 (xuntil6(s126)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21238, 20729])).
% 9.08/6.55 tff(21240,plain,
% 9.08/6.55 (until5(s127)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10726, 21239])).
% 9.08/6.55 tff(21241,assumption,(until5(s127)), introduced(assumption)).
% 9.08/6.55 tff(21242,assumption,(~xuntil6(s129)), introduced(assumption)).
% 9.08/6.55 tff(21243,assumption,(~always3(s129)), introduced(assumption)).
% 9.08/6.55 tff(21244,plain,
% 9.08/6.55 (~always3(s128)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[8714, 21243])).
% 9.08/6.55 tff(21245,plain,
% 9.08/6.55 (~node4(s128)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10747, 22, 21244])).
% 9.08/6.55 tff(21246,plain,
% 9.08/6.55 (~node4(s129)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10764, 22, 21243])).
% 9.08/6.55 tff(21247,plain,
% 9.08/6.55 (node4(s129) | (~until5(s129))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10771, 36, 21242])).
% 9.08/6.55 tff(21248,plain,
% 9.08/6.55 (~until5(s129)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21247, 21246])).
% 9.08/6.55 tff(21249,plain,
% 9.08/6.55 (~xuntil6(s128)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10760, 21248])).
% 9.08/6.55 tff(21250,plain,
% 9.08/6.55 (~until5(s128)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10754, 36, 21249, 21245])).
% 9.08/6.55 tff(21251,plain,
% 9.08/6.55 (~xuntil6(s127)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10743, 21250])).
% 9.08/6.55 tff(21252,plain,
% 9.08/6.55 (~always3(s127)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[8726, 21244])).
% 9.08/6.55 tff(21253,plain,
% 9.08/6.55 (~node4(s127)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10730, 22, 21252])).
% 9.08/6.55 tff(21254,plain,
% 9.08/6.55 (xuntil6(s127) | (~until5(s127))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10737, 36, 21253])).
% 9.08/6.55 tff(21255,plain,
% 9.08/6.55 (~until5(s127)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21254, 21251])).
% 9.08/6.55 tff(21256,plain,
% 9.08/6.55 (~xuntil6(s126)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10726, 21255])).
% 9.08/6.55 tff(21257,plain,
% 9.08/6.55 (~always3(s126)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[8738, 21252])).
% 9.08/6.55 tff(21258,plain,
% 9.08/6.55 (~node4(s126)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10713, 22, 21257])).
% 9.08/6.55 tff(21259,plain,
% 9.08/6.55 (xuntil6(s126) | (~until5(s126))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10720, 36, 21258])).
% 9.08/6.55 tff(21260,plain,
% 9.08/6.55 (~until5(s126)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21259, 21256])).
% 9.08/6.55 tff(21261,plain,
% 9.08/6.55 (~xuntil6(s125)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10709, 21260])).
% 9.08/6.55 tff(21262,plain,
% 9.08/6.55 (~always3(s125)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[8750, 21257])).
% 9.08/6.55 tff(21263,plain,
% 9.08/6.55 (~node4(s125)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10696, 22, 21262])).
% 9.08/6.55 tff(21264,plain,
% 9.08/6.55 (xuntil6(s125) | (~until5(s125))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10703, 36, 21263])).
% 9.08/6.55 tff(21265,plain,
% 9.08/6.55 (~until5(s125)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21264, 21261])).
% 9.08/6.55 tff(21266,plain,
% 9.08/6.55 (~xuntil6(s124)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10692, 21265])).
% 9.08/6.55 tff(21267,plain,
% 9.08/6.55 (~always3(s124)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[8762, 21262])).
% 9.08/6.55 tff(21268,plain,
% 9.08/6.55 (~node4(s124)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10679, 22, 21267])).
% 9.08/6.55 tff(21269,plain,
% 9.08/6.55 (xuntil6(s124) | (~until5(s124))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10686, 36, 21268])).
% 9.08/6.55 tff(21270,plain,
% 9.08/6.55 (~until5(s124)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21269, 21266])).
% 9.08/6.55 tff(21271,plain,
% 9.08/6.55 (~xuntil6(s123)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10675, 21270])).
% 9.08/6.55 tff(21272,plain,
% 9.08/6.55 (~always3(s123)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[8774, 21267])).
% 9.08/6.55 tff(21273,plain,
% 9.08/6.55 (~node4(s123)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10662, 22, 21272])).
% 9.08/6.55 tff(21274,plain,
% 9.08/6.55 (xuntil6(s123) | (~until5(s123))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10669, 36, 21273])).
% 9.08/6.55 tff(21275,plain,
% 9.08/6.55 (~until5(s123)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21274, 21271])).
% 9.08/6.55 tff(21276,plain,
% 9.08/6.55 (~xuntil6(s122)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10658, 21275])).
% 9.08/6.55 tff(21277,plain,
% 9.08/6.55 (~always3(s122)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[8786, 21272])).
% 9.08/6.55 tff(21278,plain,
% 9.08/6.55 (~node4(s122)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10645, 22, 21277])).
% 9.08/6.55 tff(21279,plain,
% 9.08/6.55 (xuntil6(s122) | (~until5(s122))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10652, 36, 21278])).
% 9.08/6.55 tff(21280,plain,
% 9.08/6.55 (~until5(s122)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21279, 21276])).
% 9.08/6.55 tff(21281,plain,
% 9.08/6.55 (~xuntil6(s121)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10641, 21280])).
% 9.08/6.55 tff(21282,plain,
% 9.08/6.55 (~always3(s121)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[8798, 21277])).
% 9.08/6.55 tff(21283,plain,
% 9.08/6.55 (~node4(s121)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10628, 22, 21282])).
% 9.08/6.55 tff(21284,plain,
% 9.08/6.55 (xuntil6(s121) | (~until5(s121))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10635, 36, 21283])).
% 9.08/6.55 tff(21285,plain,
% 9.08/6.55 (~until5(s121)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21284, 21281])).
% 9.08/6.55 tff(21286,plain,
% 9.08/6.55 (~xuntil6(s120)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10624, 21285])).
% 9.08/6.55 tff(21287,plain,
% 9.08/6.55 (~always3(s120)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[8810, 21282])).
% 9.08/6.55 tff(21288,plain,
% 9.08/6.55 (~node4(s120)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10611, 22, 21287])).
% 9.08/6.55 tff(21289,plain,
% 9.08/6.55 (xuntil6(s120) | (~until5(s120))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10618, 36, 21288])).
% 9.08/6.55 tff(21290,plain,
% 9.08/6.55 (~until5(s120)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21289, 21286])).
% 9.08/6.55 tff(21291,plain,
% 9.08/6.55 (~xuntil6(s119)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10607, 21290])).
% 9.08/6.55 tff(21292,plain,
% 9.08/6.55 (~always3(s119)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[8822, 21287])).
% 9.08/6.55 tff(21293,plain,
% 9.08/6.55 (~node4(s119)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10594, 22, 21292])).
% 9.08/6.55 tff(21294,plain,
% 9.08/6.55 (xuntil6(s119) | (~until5(s119))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10601, 36, 21293])).
% 9.08/6.55 tff(21295,plain,
% 9.08/6.55 (~until5(s119)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21294, 21291])).
% 9.08/6.55 tff(21296,plain,
% 9.08/6.55 (~xuntil6(s118)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10590, 21295])).
% 9.08/6.55 tff(21297,plain,
% 9.08/6.55 (~always3(s118)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[8834, 21292])).
% 9.08/6.55 tff(21298,plain,
% 9.08/6.55 (~node4(s118)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10577, 22, 21297])).
% 9.08/6.55 tff(21299,plain,
% 9.08/6.55 (xuntil6(s118) | (~until5(s118))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10584, 36, 21298])).
% 9.08/6.55 tff(21300,plain,
% 9.08/6.55 (~until5(s118)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21299, 21296])).
% 9.08/6.55 tff(21301,plain,
% 9.08/6.55 (~xuntil6(s117)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10573, 21300])).
% 9.08/6.55 tff(21302,plain,
% 9.08/6.55 (~always3(s117)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[8846, 21297])).
% 9.08/6.55 tff(21303,plain,
% 9.08/6.55 (~node4(s117)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10560, 22, 21302])).
% 9.08/6.55 tff(21304,plain,
% 9.08/6.55 (xuntil6(s117) | (~until5(s117))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10567, 36, 21303])).
% 9.08/6.55 tff(21305,plain,
% 9.08/6.55 (~until5(s117)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21304, 21301])).
% 9.08/6.55 tff(21306,plain,
% 9.08/6.55 (~xuntil6(s116)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10556, 21305])).
% 9.08/6.55 tff(21307,plain,
% 9.08/6.55 (~always3(s116)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[8858, 21302])).
% 9.08/6.55 tff(21308,plain,
% 9.08/6.55 (~node4(s116)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10543, 22, 21307])).
% 9.08/6.55 tff(21309,plain,
% 9.08/6.55 (xuntil6(s116) | (~until5(s116))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10550, 36, 21308])).
% 9.08/6.55 tff(21310,plain,
% 9.08/6.55 (~until5(s116)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21309, 21306])).
% 9.08/6.55 tff(21311,plain,
% 9.08/6.55 (~xuntil6(s115)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10539, 21310])).
% 9.08/6.55 tff(21312,plain,
% 9.08/6.55 (~always3(s115)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[8870, 21307])).
% 9.08/6.55 tff(21313,plain,
% 9.08/6.55 (~node4(s115)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10526, 22, 21312])).
% 9.08/6.55 tff(21314,plain,
% 9.08/6.55 (xuntil6(s115) | (~until5(s115))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10533, 36, 21313])).
% 9.08/6.55 tff(21315,plain,
% 9.08/6.55 (~until5(s115)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21314, 21311])).
% 9.08/6.55 tff(21316,plain,
% 9.08/6.55 (~xuntil6(s114)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10522, 21315])).
% 9.08/6.55 tff(21317,plain,
% 9.08/6.55 (~always3(s114)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[8882, 21312])).
% 9.08/6.55 tff(21318,plain,
% 9.08/6.55 (~node4(s114)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10509, 22, 21317])).
% 9.08/6.55 tff(21319,plain,
% 9.08/6.55 (xuntil6(s114) | (~until5(s114))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10516, 36, 21318])).
% 9.08/6.55 tff(21320,plain,
% 9.08/6.55 (~until5(s114)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21319, 21316])).
% 9.08/6.55 tff(21321,plain,
% 9.08/6.55 (~xuntil6(s113)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10505, 21320])).
% 9.08/6.55 tff(21322,plain,
% 9.08/6.55 (~always3(s113)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[8894, 21317])).
% 9.08/6.55 tff(21323,plain,
% 9.08/6.55 (~node4(s113)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10492, 22, 21322])).
% 9.08/6.55 tff(21324,plain,
% 9.08/6.55 (xuntil6(s113) | (~until5(s113))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10499, 36, 21323])).
% 9.08/6.55 tff(21325,plain,
% 9.08/6.55 (~until5(s113)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21324, 21321])).
% 9.08/6.55 tff(21326,plain,
% 9.08/6.55 (~xuntil6(s112)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10488, 21325])).
% 9.08/6.55 tff(21327,plain,
% 9.08/6.55 (~always3(s112)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[8906, 21322])).
% 9.08/6.55 tff(21328,plain,
% 9.08/6.55 (~node4(s112)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10475, 22, 21327])).
% 9.08/6.55 tff(21329,plain,
% 9.08/6.55 (xuntil6(s112) | (~until5(s112))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10482, 36, 21328])).
% 9.08/6.55 tff(21330,plain,
% 9.08/6.55 (~until5(s112)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21329, 21326])).
% 9.08/6.55 tff(21331,plain,
% 9.08/6.55 (~xuntil6(s111)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10471, 21330])).
% 9.08/6.55 tff(21332,plain,
% 9.08/6.55 (~always3(s111)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[8918, 21327])).
% 9.08/6.55 tff(21333,plain,
% 9.08/6.55 (~node4(s111)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10458, 22, 21332])).
% 9.08/6.55 tff(21334,plain,
% 9.08/6.55 (xuntil6(s111) | (~until5(s111))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10465, 36, 21333])).
% 9.08/6.55 tff(21335,plain,
% 9.08/6.55 (~until5(s111)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21334, 21331])).
% 9.08/6.55 tff(21336,plain,
% 9.08/6.55 (~xuntil6(s110)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10454, 21335])).
% 9.08/6.55 tff(21337,plain,
% 9.08/6.55 (~always3(s110)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[8930, 21332])).
% 9.08/6.55 tff(21338,plain,
% 9.08/6.55 (~node4(s110)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10441, 22, 21337])).
% 9.08/6.55 tff(21339,plain,
% 9.08/6.55 (xuntil6(s110) | (~until5(s110))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10448, 36, 21338])).
% 9.08/6.55 tff(21340,plain,
% 9.08/6.55 (~until5(s110)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21339, 21336])).
% 9.08/6.55 tff(21341,plain,
% 9.08/6.55 (~xuntil6(s109)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10437, 21340])).
% 9.08/6.55 tff(21342,plain,
% 9.08/6.55 (~always3(s109)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[8942, 21337])).
% 9.08/6.55 tff(21343,plain,
% 9.08/6.55 (~node4(s109)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10424, 22, 21342])).
% 9.08/6.55 tff(21344,plain,
% 9.08/6.55 (xuntil6(s109) | (~until5(s109))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10431, 36, 21343])).
% 9.08/6.55 tff(21345,plain,
% 9.08/6.55 (~until5(s109)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21344, 21341])).
% 9.08/6.55 tff(21346,plain,
% 9.08/6.55 (~xuntil6(s108)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10420, 21345])).
% 9.08/6.55 tff(21347,plain,
% 9.08/6.55 (~always3(s108)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[8954, 21342])).
% 9.08/6.55 tff(21348,plain,
% 9.08/6.55 (~node4(s108)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10407, 22, 21347])).
% 9.08/6.55 tff(21349,plain,
% 9.08/6.55 (xuntil6(s108) | (~until5(s108))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10414, 36, 21348])).
% 9.08/6.55 tff(21350,plain,
% 9.08/6.55 (~until5(s108)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21349, 21346])).
% 9.08/6.55 tff(21351,plain,
% 9.08/6.55 (~xuntil6(s107)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10403, 21350])).
% 9.08/6.55 tff(21352,plain,
% 9.08/6.55 (~always3(s107)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[8966, 21347])).
% 9.08/6.55 tff(21353,plain,
% 9.08/6.55 (~node4(s107)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10390, 22, 21352])).
% 9.08/6.55 tff(21354,plain,
% 9.08/6.55 (xuntil6(s107) | (~until5(s107))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10397, 36, 21353])).
% 9.08/6.55 tff(21355,plain,
% 9.08/6.55 (~until5(s107)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21354, 21351])).
% 9.08/6.55 tff(21356,plain,
% 9.08/6.55 (~xuntil6(s106)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10386, 21355])).
% 9.08/6.55 tff(21357,plain,
% 9.08/6.55 (~always3(s106)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[8978, 21352])).
% 9.08/6.55 tff(21358,plain,
% 9.08/6.55 (~node4(s106)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10373, 22, 21357])).
% 9.08/6.55 tff(21359,plain,
% 9.08/6.55 (xuntil6(s106) | (~until5(s106))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10380, 36, 21358])).
% 9.08/6.55 tff(21360,plain,
% 9.08/6.55 (~until5(s106)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21359, 21356])).
% 9.08/6.55 tff(21361,plain,
% 9.08/6.55 (~xuntil6(s105)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10369, 21360])).
% 9.08/6.55 tff(21362,plain,
% 9.08/6.55 (~always3(s105)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[8990, 21357])).
% 9.08/6.55 tff(21363,plain,
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% 9.08/6.55 inference(unit_resolution,[status(thm)],[10356, 22, 21362])).
% 9.08/6.55 tff(21364,plain,
% 9.08/6.55 (xuntil6(s105) | (~until5(s105))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10363, 36, 21363])).
% 9.08/6.55 tff(21365,plain,
% 9.08/6.55 (~until5(s105)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21364, 21361])).
% 9.08/6.55 tff(21366,plain,
% 9.08/6.55 (~xuntil6(s104)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10352, 21365])).
% 9.08/6.55 tff(21367,plain,
% 9.08/6.55 (~always3(s104)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9002, 21362])).
% 9.08/6.55 tff(21368,plain,
% 9.08/6.55 (~node4(s104)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10339, 22, 21367])).
% 9.08/6.55 tff(21369,plain,
% 9.08/6.55 (xuntil6(s104) | (~until5(s104))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10346, 36, 21368])).
% 9.08/6.55 tff(21370,plain,
% 9.08/6.55 (~until5(s104)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21369, 21366])).
% 9.08/6.55 tff(21371,plain,
% 9.08/6.55 (~xuntil6(s103)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10335, 21370])).
% 9.08/6.55 tff(21372,plain,
% 9.08/6.55 (~always3(s103)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9014, 21367])).
% 9.08/6.55 tff(21373,plain,
% 9.08/6.55 (~node4(s103)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10322, 22, 21372])).
% 9.08/6.55 tff(21374,plain,
% 9.08/6.55 (xuntil6(s103) | (~until5(s103))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10329, 36, 21373])).
% 9.08/6.55 tff(21375,plain,
% 9.08/6.55 (~until5(s103)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21374, 21371])).
% 9.08/6.55 tff(21376,plain,
% 9.08/6.55 (~xuntil6(s102)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10318, 21375])).
% 9.08/6.55 tff(21377,plain,
% 9.08/6.55 (~always3(s102)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9026, 21372])).
% 9.08/6.55 tff(21378,plain,
% 9.08/6.55 (~node4(s102)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10305, 22, 21377])).
% 9.08/6.55 tff(21379,plain,
% 9.08/6.55 (xuntil6(s102) | (~until5(s102))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10312, 36, 21378])).
% 9.08/6.55 tff(21380,plain,
% 9.08/6.55 (~until5(s102)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21379, 21376])).
% 9.08/6.55 tff(21381,plain,
% 9.08/6.55 (~xuntil6(s101)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10301, 21380])).
% 9.08/6.55 tff(21382,plain,
% 9.08/6.55 (~always3(s101)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9038, 21377])).
% 9.08/6.55 tff(21383,plain,
% 9.08/6.55 (~node4(s101)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10288, 22, 21382])).
% 9.08/6.55 tff(21384,plain,
% 9.08/6.55 (xuntil6(s101) | (~until5(s101))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10295, 36, 21383])).
% 9.08/6.55 tff(21385,plain,
% 9.08/6.55 (~until5(s101)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21384, 21381])).
% 9.08/6.55 tff(21386,plain,
% 9.08/6.55 (~xuntil6(s100)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10284, 21385])).
% 9.08/6.55 tff(21387,plain,
% 9.08/6.55 (~always3(s100)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9050, 21382])).
% 9.08/6.55 tff(21388,plain,
% 9.08/6.55 (~node4(s100)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10271, 22, 21387])).
% 9.08/6.55 tff(21389,plain,
% 9.08/6.55 (xuntil6(s100) | (~until5(s100))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10278, 36, 21388])).
% 9.08/6.55 tff(21390,plain,
% 9.08/6.55 (~until5(s100)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21389, 21386])).
% 9.08/6.55 tff(21391,plain,
% 9.08/6.55 (~xuntil6(s99)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10267, 21390])).
% 9.08/6.55 tff(21392,plain,
% 9.08/6.55 (~always3(s99)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9062, 21387])).
% 9.08/6.55 tff(21393,plain,
% 9.08/6.55 (~node4(s99)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10254, 22, 21392])).
% 9.08/6.55 tff(21394,plain,
% 9.08/6.55 (xuntil6(s99) | (~until5(s99))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10261, 36, 21393])).
% 9.08/6.55 tff(21395,plain,
% 9.08/6.55 (~until5(s99)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21394, 21391])).
% 9.08/6.55 tff(21396,plain,
% 9.08/6.55 (~xuntil6(s98)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10250, 21395])).
% 9.08/6.55 tff(21397,plain,
% 9.08/6.55 (~always3(s98)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9074, 21392])).
% 9.08/6.55 tff(21398,plain,
% 9.08/6.55 (~node4(s98)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10237, 22, 21397])).
% 9.08/6.55 tff(21399,plain,
% 9.08/6.55 (xuntil6(s98) | (~until5(s98))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10244, 36, 21398])).
% 9.08/6.55 tff(21400,plain,
% 9.08/6.55 (~until5(s98)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21399, 21396])).
% 9.08/6.55 tff(21401,plain,
% 9.08/6.55 (~xuntil6(s97)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10233, 21400])).
% 9.08/6.55 tff(21402,plain,
% 9.08/6.55 (~always3(s97)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9086, 21397])).
% 9.08/6.55 tff(21403,plain,
% 9.08/6.55 (~node4(s97)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10220, 22, 21402])).
% 9.08/6.55 tff(21404,plain,
% 9.08/6.55 (xuntil6(s97) | (~until5(s97))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10227, 36, 21403])).
% 9.08/6.55 tff(21405,plain,
% 9.08/6.55 (~until5(s97)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21404, 21401])).
% 9.08/6.55 tff(21406,plain,
% 9.08/6.55 (~xuntil6(s96)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10216, 21405])).
% 9.08/6.55 tff(21407,plain,
% 9.08/6.55 (~always3(s96)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9098, 21402])).
% 9.08/6.55 tff(21408,plain,
% 9.08/6.55 (~node4(s96)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10203, 22, 21407])).
% 9.08/6.55 tff(21409,plain,
% 9.08/6.55 (xuntil6(s96) | (~until5(s96))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10210, 36, 21408])).
% 9.08/6.55 tff(21410,plain,
% 9.08/6.55 (~until5(s96)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21409, 21406])).
% 9.08/6.55 tff(21411,plain,
% 9.08/6.55 (~xuntil6(s95)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10199, 21410])).
% 9.08/6.55 tff(21412,plain,
% 9.08/6.55 (~always3(s95)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9110, 21407])).
% 9.08/6.55 tff(21413,plain,
% 9.08/6.55 (~node4(s95)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10186, 22, 21412])).
% 9.08/6.55 tff(21414,plain,
% 9.08/6.55 (xuntil6(s95) | (~until5(s95))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10193, 36, 21413])).
% 9.08/6.55 tff(21415,plain,
% 9.08/6.55 (~until5(s95)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21414, 21411])).
% 9.08/6.55 tff(21416,plain,
% 9.08/6.55 (~xuntil6(s94)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10182, 21415])).
% 9.08/6.55 tff(21417,plain,
% 9.08/6.55 (~always3(s94)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9122, 21412])).
% 9.08/6.55 tff(21418,plain,
% 9.08/6.55 (~node4(s94)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10169, 22, 21417])).
% 9.08/6.55 tff(21419,plain,
% 9.08/6.55 (xuntil6(s94) | (~until5(s94))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10176, 36, 21418])).
% 9.08/6.55 tff(21420,plain,
% 9.08/6.55 (~until5(s94)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21419, 21416])).
% 9.08/6.55 tff(21421,plain,
% 9.08/6.55 (~xuntil6(s93)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10165, 21420])).
% 9.08/6.55 tff(21422,plain,
% 9.08/6.55 (~always3(s93)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9134, 21417])).
% 9.08/6.55 tff(21423,plain,
% 9.08/6.55 (~node4(s93)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10152, 22, 21422])).
% 9.08/6.55 tff(21424,plain,
% 9.08/6.55 (xuntil6(s93) | (~until5(s93))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10159, 36, 21423])).
% 9.08/6.55 tff(21425,plain,
% 9.08/6.55 (~until5(s93)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21424, 21421])).
% 9.08/6.55 tff(21426,plain,
% 9.08/6.55 (~xuntil6(s92)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10148, 21425])).
% 9.08/6.55 tff(21427,plain,
% 9.08/6.55 (~always3(s92)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9146, 21422])).
% 9.08/6.55 tff(21428,plain,
% 9.08/6.55 (~node4(s92)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10135, 22, 21427])).
% 9.08/6.55 tff(21429,plain,
% 9.08/6.55 (xuntil6(s92) | (~until5(s92))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10142, 36, 21428])).
% 9.08/6.55 tff(21430,plain,
% 9.08/6.55 (~until5(s92)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21429, 21426])).
% 9.08/6.55 tff(21431,plain,
% 9.08/6.55 (~xuntil6(s91)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10131, 21430])).
% 9.08/6.55 tff(21432,plain,
% 9.08/6.55 (~always3(s91)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9158, 21427])).
% 9.08/6.55 tff(21433,plain,
% 9.08/6.55 (~node4(s91)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10118, 22, 21432])).
% 9.08/6.55 tff(21434,plain,
% 9.08/6.55 (xuntil6(s91) | (~until5(s91))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10125, 36, 21433])).
% 9.08/6.55 tff(21435,plain,
% 9.08/6.55 (~until5(s91)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21434, 21431])).
% 9.08/6.55 tff(21436,plain,
% 9.08/6.55 (~xuntil6(s90)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10114, 21435])).
% 9.08/6.55 tff(21437,plain,
% 9.08/6.55 (~always3(s90)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9170, 21432])).
% 9.08/6.55 tff(21438,plain,
% 9.08/6.55 (~node4(s90)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10101, 22, 21437])).
% 9.08/6.55 tff(21439,plain,
% 9.08/6.55 (xuntil6(s90) | (~until5(s90))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10108, 36, 21438])).
% 9.08/6.55 tff(21440,plain,
% 9.08/6.55 (~until5(s90)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21439, 21436])).
% 9.08/6.55 tff(21441,plain,
% 9.08/6.55 (~xuntil6(s89)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10097, 21440])).
% 9.08/6.55 tff(21442,plain,
% 9.08/6.55 (~always3(s89)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9182, 21437])).
% 9.08/6.55 tff(21443,plain,
% 9.08/6.55 (~node4(s89)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10084, 22, 21442])).
% 9.08/6.55 tff(21444,plain,
% 9.08/6.55 (xuntil6(s89) | (~until5(s89))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10091, 36, 21443])).
% 9.08/6.55 tff(21445,plain,
% 9.08/6.55 (~until5(s89)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21444, 21441])).
% 9.08/6.55 tff(21446,plain,
% 9.08/6.55 (~xuntil6(s88)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10080, 21445])).
% 9.08/6.55 tff(21447,plain,
% 9.08/6.55 (~always3(s88)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9194, 21442])).
% 9.08/6.55 tff(21448,plain,
% 9.08/6.55 (~node4(s88)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10067, 22, 21447])).
% 9.08/6.55 tff(21449,plain,
% 9.08/6.55 (xuntil6(s88) | (~until5(s88))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10074, 36, 21448])).
% 9.08/6.55 tff(21450,plain,
% 9.08/6.55 (~until5(s88)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21449, 21446])).
% 9.08/6.55 tff(21451,plain,
% 9.08/6.55 (~xuntil6(s87)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10063, 21450])).
% 9.08/6.55 tff(21452,plain,
% 9.08/6.55 (~always3(s87)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9206, 21447])).
% 9.08/6.55 tff(21453,plain,
% 9.08/6.55 (~node4(s87)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10050, 22, 21452])).
% 9.08/6.55 tff(21454,plain,
% 9.08/6.55 (xuntil6(s87) | (~until5(s87))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10057, 36, 21453])).
% 9.08/6.55 tff(21455,plain,
% 9.08/6.55 (~until5(s87)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21454, 21451])).
% 9.08/6.55 tff(21456,plain,
% 9.08/6.55 (~xuntil6(s86)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10046, 21455])).
% 9.08/6.55 tff(21457,plain,
% 9.08/6.55 (~always3(s86)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9218, 21452])).
% 9.08/6.55 tff(21458,plain,
% 9.08/6.55 (~node4(s86)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10033, 22, 21457])).
% 9.08/6.55 tff(21459,plain,
% 9.08/6.55 (xuntil6(s86) | (~until5(s86))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10040, 36, 21458])).
% 9.08/6.55 tff(21460,plain,
% 9.08/6.55 (~until5(s86)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21459, 21456])).
% 9.08/6.55 tff(21461,plain,
% 9.08/6.55 (~xuntil6(s85)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10029, 21460])).
% 9.08/6.55 tff(21462,plain,
% 9.08/6.55 (~always3(s85)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9230, 21457])).
% 9.08/6.55 tff(21463,plain,
% 9.08/6.55 (~node4(s85)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10016, 22, 21462])).
% 9.08/6.55 tff(21464,plain,
% 9.08/6.55 (xuntil6(s85) | (~until5(s85))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10023, 36, 21463])).
% 9.08/6.55 tff(21465,plain,
% 9.08/6.55 (~until5(s85)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21464, 21461])).
% 9.08/6.55 tff(21466,plain,
% 9.08/6.55 (~xuntil6(s84)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10012, 21465])).
% 9.08/6.55 tff(21467,plain,
% 9.08/6.55 (~always3(s84)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9242, 21462])).
% 9.08/6.55 tff(21468,plain,
% 9.08/6.55 (~node4(s84)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9999, 22, 21467])).
% 9.08/6.55 tff(21469,plain,
% 9.08/6.55 (xuntil6(s84) | (~until5(s84))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[10006, 36, 21468])).
% 9.08/6.55 tff(21470,plain,
% 9.08/6.55 (~until5(s84)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21469, 21466])).
% 9.08/6.55 tff(21471,plain,
% 9.08/6.55 (~always3(s83)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9254, 21467])).
% 9.08/6.55 tff(21472,plain,
% 9.08/6.55 (~always3(s82)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9266, 21471])).
% 9.08/6.55 tff(21473,plain,
% 9.08/6.55 (~always3(s81)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9278, 21472])).
% 9.08/6.55 tff(21474,plain,
% 9.08/6.55 (~always3(s80)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9290, 21473])).
% 9.08/6.55 tff(21475,plain,
% 9.08/6.55 (~always3(s79)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9302, 21474])).
% 9.08/6.55 tff(21476,plain,
% 9.08/6.55 (~always3(s78)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9314, 21475])).
% 9.08/6.55 tff(21477,plain,
% 9.08/6.55 (~always3(s77)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9326, 21476])).
% 9.08/6.55 tff(21478,plain,
% 9.08/6.55 (~always3(s76)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9338, 21477])).
% 9.08/6.55 tff(21479,plain,
% 9.08/6.55 (~always3(s75)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9350, 21478])).
% 9.08/6.55 tff(21480,plain,
% 9.08/6.55 (~always3(s74)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9362, 21479])).
% 9.08/6.55 tff(21481,plain,
% 9.08/6.55 (~always3(s73)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9374, 21480])).
% 9.08/6.55 tff(21482,plain,
% 9.08/6.55 (~always3(s72)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9386, 21481])).
% 9.08/6.55 tff(21483,plain,
% 9.08/6.55 (~always3(s71)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9398, 21482])).
% 9.08/6.55 tff(21484,plain,
% 9.08/6.55 (~always3(s70)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9410, 21483])).
% 9.08/6.55 tff(21485,plain,
% 9.08/6.55 (~always3(s69)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9422, 21484])).
% 9.08/6.55 tff(21486,plain,
% 9.08/6.55 (~always3(s68)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9434, 21485])).
% 9.08/6.55 tff(21487,plain,
% 9.08/6.55 (~always3(s67)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9446, 21486])).
% 9.08/6.55 tff(21488,plain,
% 9.08/6.55 (~always3(s66)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9458, 21487])).
% 9.08/6.55 tff(21489,plain,
% 9.08/6.55 (~always3(s65)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9470, 21488])).
% 9.08/6.55 tff(21490,plain,
% 9.08/6.55 (~always3(s64)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9482, 21489])).
% 9.08/6.55 tff(21491,plain,
% 9.08/6.55 (~always3(s63)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9494, 21490])).
% 9.08/6.55 tff(21492,plain,
% 9.08/6.55 (~always3(s62)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9506, 21491])).
% 9.08/6.55 tff(21493,plain,
% 9.08/6.55 (~always3(s61)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9518, 21492])).
% 9.08/6.55 tff(21494,plain,
% 9.08/6.55 (~always3(s60)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9530, 21493])).
% 9.08/6.55 tff(21495,plain,
% 9.08/6.55 (~always3(s59)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9542, 21494])).
% 9.08/6.55 tff(21496,plain,
% 9.08/6.55 (~always3(s58)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9558, 21495])).
% 9.08/6.55 tff(21497,plain,
% 9.08/6.55 (~always3(s57)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[5004, 21496])).
% 9.08/6.55 tff(21498,plain,
% 9.08/6.55 (~always3(s56)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4870, 21497])).
% 9.08/6.55 tff(21499,plain,
% 9.08/6.55 (~always3(s55)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4750, 21498])).
% 9.08/6.55 tff(21500,plain,
% 9.08/6.55 (~always3(s54)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4602, 21499])).
% 9.08/6.55 tff(21501,plain,
% 9.08/6.55 (~always3(s53)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4647, 21500])).
% 9.08/6.55 tff(21502,plain,
% 9.08/6.55 (~always3(s52)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4521, 21501])).
% 9.08/6.55 tff(21503,plain,
% 9.08/6.55 (~always3(s51)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4412, 21502])).
% 9.08/6.55 tff(21504,plain,
% 9.08/6.55 (~always3(s50)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4363, 21503])).
% 9.08/6.55 tff(21505,plain,
% 9.08/6.55 (~always3(s49)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3944, 21504])).
% 9.08/6.55 tff(21506,plain,
% 9.08/6.55 (~always3(s48)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3754, 21505])).
% 9.08/6.55 tff(21507,plain,
% 9.08/6.55 (~always3(s47)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3799, 21506])).
% 9.08/6.55 tff(21508,plain,
% 9.08/6.55 (~always3(s46)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3828, 21507])).
% 9.08/6.55 tff(21509,plain,
% 9.08/6.55 (~always3(s45)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3857, 21508])).
% 9.08/6.55 tff(21510,plain,
% 9.08/6.55 (~always3(s44)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3886, 21509])).
% 9.08/6.55 tff(21511,plain,
% 9.08/6.55 (~always3(s43)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3705, 21510])).
% 9.08/6.55 tff(21512,plain,
% 9.08/6.55 (~always3(s42)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3618, 21511])).
% 9.08/6.55 tff(21513,plain,
% 9.08/6.55 (~always3(s41)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3559, 21512])).
% 9.08/6.55 tff(21514,plain,
% 9.08/6.55 (~always3(s40)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3474, 21513])).
% 9.08/6.55 tff(21515,plain,
% 9.08/6.55 (~always3(s39)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3424, 21514])).
% 9.08/6.55 tff(21516,plain,
% 9.08/6.55 (~node4(s39)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3428, 22, 21515])).
% 9.08/6.55 tff(21517,plain,
% 9.08/6.55 (~always3(s38)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3233, 21515])).
% 9.08/6.55 tff(21518,plain,
% 9.08/6.55 (~node4(s38)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3219, 22, 21517])).
% 9.08/6.55 tff(21519,plain,
% 9.08/6.55 (~always3(s37)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[2932, 21517])).
% 9.08/6.55 tff(21520,plain,
% 9.08/6.55 (xuntil6(s37)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3202, 21519])).
% 9.08/6.55 tff(21521,plain,
% 9.08/6.55 (until5(s38)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3207, 21520])).
% 9.08/6.55 tff(21522,plain,
% 9.08/6.55 (xuntil6(s38) | node4(s38)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3214, 36, 21521])).
% 9.08/6.55 tff(21523,plain,
% 9.08/6.55 (xuntil6(s38)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21522, 21518])).
% 9.08/6.55 tff(21524,plain,
% 9.08/6.55 (until5(s39)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3410, 21523])).
% 9.08/6.55 tff(21525,plain,
% 9.08/6.55 (xuntil6(s39)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3460, 36, 21524, 21516])).
% 9.08/6.55 tff(21526,plain,
% 9.08/6.55 (until5(s40)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3445, 21525])).
% 9.08/6.55 tff(21527,plain,
% 9.08/6.55 (~node4(s40)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3432, 22, 21514])).
% 9.08/6.55 tff(21528,plain,
% 9.08/6.55 (xuntil6(s40) | (~until5(s40))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3439, 36, 21527])).
% 9.08/6.55 tff(21529,plain,
% 9.08/6.55 (xuntil6(s40)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21528, 21526])).
% 9.08/6.55 tff(21530,plain,
% 9.08/6.55 (until5(s41)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3545, 21529])).
% 9.08/6.55 tff(21531,plain,
% 9.08/6.55 (~node4(s41)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3563, 22, 21513])).
% 9.08/6.55 tff(21532,plain,
% 9.08/6.55 (xuntil6(s41) | (~until5(s41))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3587, 36, 21531])).
% 9.08/6.55 tff(21533,plain,
% 9.08/6.55 (xuntil6(s41)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21532, 21530])).
% 9.08/6.55 tff(21534,plain,
% 9.08/6.55 (until5(s42)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3580, 21533])).
% 9.08/6.55 tff(21535,plain,
% 9.08/6.55 (~node4(s42)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3567, 22, 21512])).
% 9.08/6.55 tff(21536,plain,
% 9.08/6.55 (xuntil6(s42) | (~until5(s42))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3574, 36, 21535])).
% 9.08/6.55 tff(21537,plain,
% 9.08/6.55 (xuntil6(s42)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21536, 21534])).
% 9.08/6.55 tff(21538,plain,
% 9.08/6.55 (until5(s43)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3684, 21537])).
% 9.08/6.55 tff(21539,plain,
% 9.08/6.55 (~node4(s43)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3693, 22, 21511])).
% 9.08/6.55 tff(21540,plain,
% 9.08/6.55 (xuntil6(s43) | (~until5(s43))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3734, 36, 21539])).
% 9.08/6.55 tff(21541,plain,
% 9.08/6.55 (xuntil6(s43)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21540, 21538])).
% 9.08/6.55 tff(21542,plain,
% 9.08/6.55 (until5(s44)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3740, 21541])).
% 9.08/6.55 tff(21543,plain,
% 9.08/6.55 (~node4(s44)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3890, 22, 21510])).
% 9.08/6.55 tff(21544,plain,
% 9.08/6.55 (xuntil6(s44) | (~until5(s44))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3897, 36, 21543])).
% 9.08/6.55 tff(21545,plain,
% 9.08/6.55 (xuntil6(s44)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21544, 21542])).
% 9.08/6.55 tff(21546,plain,
% 9.08/6.55 (until5(s45)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3877, 21545])).
% 9.08/6.55 tff(21547,plain,
% 9.08/6.55 (~node4(s45)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3861, 22, 21509])).
% 9.08/6.55 tff(21548,plain,
% 9.08/6.55 (xuntil6(s45) | (~until5(s45))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3868, 36, 21547])).
% 9.08/6.55 tff(21549,plain,
% 9.08/6.55 (xuntil6(s45)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21548, 21546])).
% 9.08/6.55 tff(21550,plain,
% 9.08/6.55 (until5(s46)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3848, 21549])).
% 9.08/6.55 tff(21551,plain,
% 9.08/6.55 (~node4(s46)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3832, 22, 21508])).
% 9.08/6.55 tff(21552,plain,
% 9.08/6.55 (xuntil6(s46) | (~until5(s46))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3839, 36, 21551])).
% 9.08/6.55 tff(21553,plain,
% 9.08/6.55 (xuntil6(s46)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21552, 21550])).
% 9.08/6.55 tff(21554,plain,
% 9.08/6.55 (until5(s47)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3819, 21553])).
% 9.08/6.55 tff(21555,plain,
% 9.08/6.55 (~node4(s47)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3803, 22, 21507])).
% 9.08/6.55 tff(21556,plain,
% 9.08/6.55 (xuntil6(s47) | (~until5(s47))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3810, 36, 21555])).
% 9.08/6.55 tff(21557,plain,
% 9.08/6.55 (xuntil6(s47)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21556, 21554])).
% 9.08/6.55 tff(21558,plain,
% 9.08/6.55 (until5(s48)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3790, 21557])).
% 9.08/6.55 tff(21559,plain,
% 9.08/6.55 (~node4(s48)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3758, 22, 21506])).
% 9.08/6.55 tff(21560,plain,
% 9.08/6.55 (xuntil6(s48) | (~until5(s48))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3782, 36, 21559])).
% 9.08/6.55 tff(21561,plain,
% 9.08/6.55 (xuntil6(s48)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21560, 21558])).
% 9.08/6.55 tff(21562,plain,
% 9.08/6.55 (until5(s49)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3775, 21561])).
% 9.08/6.55 tff(21563,plain,
% 9.08/6.55 (~node4(s49)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3762, 22, 21505])).
% 9.08/6.55 tff(21564,plain,
% 9.08/6.55 (xuntil6(s49) | (~until5(s49))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[3769, 36, 21563])).
% 9.08/6.55 tff(21565,plain,
% 9.08/6.55 (xuntil6(s49)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21564, 21562])).
% 9.08/6.55 tff(21566,plain,
% 9.08/6.55 (until5(s50)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4342, 21565])).
% 9.08/6.55 tff(21567,plain,
% 9.08/6.55 (~node4(s50)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4351, 22, 21504])).
% 9.08/6.55 tff(21568,plain,
% 9.08/6.55 (xuntil6(s50) | (~until5(s50))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4392, 36, 21567])).
% 9.08/6.55 tff(21569,plain,
% 9.08/6.55 (xuntil6(s50)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21568, 21566])).
% 9.08/6.55 tff(21570,plain,
% 9.08/6.55 (until5(s51)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4398, 21569])).
% 9.08/6.55 tff(21571,plain,
% 9.08/6.55 (~node4(s51)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4416, 22, 21503])).
% 9.08/6.55 tff(21572,plain,
% 9.08/6.55 (xuntil6(s51) | (~until5(s51))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4440, 36, 21571])).
% 9.08/6.55 tff(21573,plain,
% 9.08/6.55 (xuntil6(s51)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21572, 21570])).
% 9.08/6.55 tff(21574,plain,
% 9.08/6.55 (until5(s52)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4433, 21573])).
% 9.08/6.55 tff(21575,plain,
% 9.08/6.55 (~node4(s52)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4420, 22, 21502])).
% 9.08/6.55 tff(21576,plain,
% 9.08/6.55 (xuntil6(s52) | (~until5(s52))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4427, 36, 21575])).
% 9.08/6.55 tff(21577,plain,
% 9.08/6.55 (xuntil6(s52)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21576, 21574])).
% 9.08/6.55 tff(21578,plain,
% 9.08/6.55 (until5(s53)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4587, 21577])).
% 9.08/6.55 tff(21579,plain,
% 9.08/6.55 (~node4(s53)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4651, 22, 21501])).
% 9.08/6.55 tff(21580,plain,
% 9.08/6.55 (xuntil6(s53) | (~until5(s53))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4658, 36, 21579])).
% 9.08/6.55 tff(21581,plain,
% 9.08/6.55 (xuntil6(s53)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21580, 21578])).
% 9.08/6.55 tff(21582,plain,
% 9.08/6.55 (until5(s54)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4638, 21581])).
% 9.08/6.55 tff(21583,plain,
% 9.08/6.55 (~node4(s54)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4606, 22, 21500])).
% 9.08/6.55 tff(21584,plain,
% 9.08/6.55 (xuntil6(s54) | (~until5(s54))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4630, 36, 21583])).
% 9.08/6.55 tff(21585,plain,
% 9.08/6.55 (xuntil6(s54)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21584, 21582])).
% 9.08/6.55 tff(21586,plain,
% 9.08/6.55 (until5(s55)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4623, 21585])).
% 9.08/6.55 tff(21587,plain,
% 9.08/6.55 (~node4(s55)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4610, 22, 21499])).
% 9.08/6.55 tff(21588,plain,
% 9.08/6.55 (xuntil6(s55) | (~until5(s55))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4617, 36, 21587])).
% 9.08/6.55 tff(21589,plain,
% 9.08/6.55 (xuntil6(s55)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21588, 21586])).
% 9.08/6.55 tff(21590,plain,
% 9.08/6.55 (until5(s56)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4856, 21589])).
% 9.08/6.55 tff(21591,plain,
% 9.08/6.55 (~node4(s56)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4874, 22, 21498])).
% 9.08/6.55 tff(21592,plain,
% 9.08/6.55 (xuntil6(s56) | (~until5(s56))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4898, 36, 21591])).
% 9.08/6.55 tff(21593,plain,
% 9.08/6.55 (xuntil6(s56)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21592, 21590])).
% 9.08/6.55 tff(21594,plain,
% 9.08/6.55 (until5(s57)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4891, 21593])).
% 9.08/6.55 tff(21595,plain,
% 9.08/6.55 (~node4(s57)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4878, 22, 21497])).
% 9.08/6.55 tff(21596,plain,
% 9.08/6.55 (xuntil6(s57) | (~until5(s57))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[4885, 36, 21595])).
% 9.08/6.55 tff(21597,plain,
% 9.08/6.55 (xuntil6(s57)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21596, 21594])).
% 9.08/6.55 tff(21598,plain,
% 9.08/6.55 (until5(s58)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[5070, 21597])).
% 9.08/6.55 tff(21599,plain,
% 9.08/6.55 (~node4(s58)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9562, 22, 21496])).
% 9.08/6.55 tff(21600,plain,
% 9.08/6.55 (xuntil6(s58) | (~until5(s58))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9569, 36, 21599])).
% 9.08/6.55 tff(21601,plain,
% 9.08/6.55 (xuntil6(s58)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21600, 21598])).
% 9.08/6.55 tff(21602,plain,
% 9.08/6.55 (until5(s59)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9575, 21601])).
% 9.08/6.55 tff(21603,plain,
% 9.08/6.55 (~node4(s59)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9546, 22, 21495])).
% 9.08/6.55 tff(21604,plain,
% 9.08/6.55 (xuntil6(s59) | (~until5(s59))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9582, 36, 21603])).
% 9.08/6.55 tff(21605,plain,
% 9.08/6.55 (xuntil6(s59)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21604, 21602])).
% 9.08/6.55 tff(21606,plain,
% 9.08/6.55 (until5(s60)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9587, 21605])).
% 9.08/6.55 tff(21607,plain,
% 9.08/6.55 (~node4(s60)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9591, 22, 21494])).
% 9.08/6.55 tff(21608,plain,
% 9.08/6.55 (xuntil6(s60) | (~until5(s60))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9598, 36, 21607])).
% 9.08/6.55 tff(21609,plain,
% 9.08/6.55 (xuntil6(s60)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21608, 21606])).
% 9.08/6.55 tff(21610,plain,
% 9.08/6.55 (until5(s61)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9604, 21609])).
% 9.08/6.55 tff(21611,plain,
% 9.08/6.55 (~node4(s61)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9608, 22, 21493])).
% 9.08/6.55 tff(21612,plain,
% 9.08/6.55 (xuntil6(s61) | (~until5(s61))),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9615, 36, 21611])).
% 9.08/6.55 tff(21613,plain,
% 9.08/6.55 (xuntil6(s61)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[21612, 21610])).
% 9.08/6.55 tff(21614,plain,
% 9.08/6.55 (until5(s62)),
% 9.08/6.55 inference(unit_resolution,[status(thm)],[9621, 21613])).
% 9.08/6.56 tff(21615,plain,
% 9.08/6.56 (~node4(s62)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9625, 22, 21492])).
% 9.08/6.56 tff(21616,plain,
% 9.08/6.56 (xuntil6(s62) | (~until5(s62))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9632, 36, 21615])).
% 9.08/6.56 tff(21617,plain,
% 9.08/6.56 (xuntil6(s62)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21616, 21614])).
% 9.08/6.56 tff(21618,plain,
% 9.08/6.56 (until5(s63)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9638, 21617])).
% 9.08/6.56 tff(21619,plain,
% 9.08/6.56 (~node4(s63)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9642, 22, 21491])).
% 9.08/6.56 tff(21620,plain,
% 9.08/6.56 (xuntil6(s63) | (~until5(s63))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9649, 36, 21619])).
% 9.08/6.56 tff(21621,plain,
% 9.08/6.56 (xuntil6(s63)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21620, 21618])).
% 9.08/6.56 tff(21622,plain,
% 9.08/6.56 (until5(s64)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9655, 21621])).
% 9.08/6.56 tff(21623,plain,
% 9.08/6.56 (~node4(s64)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9659, 22, 21490])).
% 9.08/6.56 tff(21624,plain,
% 9.08/6.56 (xuntil6(s64) | (~until5(s64))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9666, 36, 21623])).
% 9.08/6.56 tff(21625,plain,
% 9.08/6.56 (xuntil6(s64)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21624, 21622])).
% 9.08/6.56 tff(21626,plain,
% 9.08/6.56 (until5(s65)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9672, 21625])).
% 9.08/6.56 tff(21627,plain,
% 9.08/6.56 (~node4(s65)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9676, 22, 21489])).
% 9.08/6.56 tff(21628,plain,
% 9.08/6.56 (xuntil6(s65) | (~until5(s65))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9683, 36, 21627])).
% 9.08/6.56 tff(21629,plain,
% 9.08/6.56 (xuntil6(s65)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21628, 21626])).
% 9.08/6.56 tff(21630,plain,
% 9.08/6.56 (until5(s66)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9689, 21629])).
% 9.08/6.56 tff(21631,plain,
% 9.08/6.56 (~node4(s66)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9693, 22, 21488])).
% 9.08/6.56 tff(21632,plain,
% 9.08/6.56 (xuntil6(s66) | (~until5(s66))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9700, 36, 21631])).
% 9.08/6.56 tff(21633,plain,
% 9.08/6.56 (xuntil6(s66)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21632, 21630])).
% 9.08/6.56 tff(21634,plain,
% 9.08/6.56 (until5(s67)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9706, 21633])).
% 9.08/6.56 tff(21635,plain,
% 9.08/6.56 (~node4(s67)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9710, 22, 21487])).
% 9.08/6.56 tff(21636,plain,
% 9.08/6.56 (xuntil6(s67) | (~until5(s67))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9717, 36, 21635])).
% 9.08/6.56 tff(21637,plain,
% 9.08/6.56 (xuntil6(s67)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21636, 21634])).
% 9.08/6.56 tff(21638,plain,
% 9.08/6.56 (until5(s68)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9723, 21637])).
% 9.08/6.56 tff(21639,plain,
% 9.08/6.56 (~node4(s68)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9727, 22, 21486])).
% 9.08/6.56 tff(21640,plain,
% 9.08/6.56 (xuntil6(s68) | (~until5(s68))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9734, 36, 21639])).
% 9.08/6.56 tff(21641,plain,
% 9.08/6.56 (xuntil6(s68)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21640, 21638])).
% 9.08/6.56 tff(21642,plain,
% 9.08/6.56 (until5(s69)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9740, 21641])).
% 9.08/6.56 tff(21643,plain,
% 9.08/6.56 (~node4(s69)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9744, 22, 21485])).
% 9.08/6.56 tff(21644,plain,
% 9.08/6.56 (xuntil6(s69) | (~until5(s69))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9751, 36, 21643])).
% 9.08/6.56 tff(21645,plain,
% 9.08/6.56 (xuntil6(s69)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21644, 21642])).
% 9.08/6.56 tff(21646,plain,
% 9.08/6.56 (until5(s70)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9757, 21645])).
% 9.08/6.56 tff(21647,plain,
% 9.08/6.56 (~node4(s70)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9761, 22, 21484])).
% 9.08/6.56 tff(21648,plain,
% 9.08/6.56 (xuntil6(s70) | (~until5(s70))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9768, 36, 21647])).
% 9.08/6.56 tff(21649,plain,
% 9.08/6.56 (xuntil6(s70)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21648, 21646])).
% 9.08/6.56 tff(21650,plain,
% 9.08/6.56 (until5(s71)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9774, 21649])).
% 9.08/6.56 tff(21651,plain,
% 9.08/6.56 (~node4(s71)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9778, 22, 21483])).
% 9.08/6.56 tff(21652,plain,
% 9.08/6.56 (xuntil6(s71) | (~until5(s71))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9785, 36, 21651])).
% 9.08/6.56 tff(21653,plain,
% 9.08/6.56 (xuntil6(s71)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21652, 21650])).
% 9.08/6.56 tff(21654,plain,
% 9.08/6.56 (until5(s72)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9791, 21653])).
% 9.08/6.56 tff(21655,plain,
% 9.08/6.56 (~node4(s72)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9795, 22, 21482])).
% 9.08/6.56 tff(21656,plain,
% 9.08/6.56 (xuntil6(s72) | (~until5(s72))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9802, 36, 21655])).
% 9.08/6.56 tff(21657,plain,
% 9.08/6.56 (xuntil6(s72)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21656, 21654])).
% 9.08/6.56 tff(21658,plain,
% 9.08/6.56 (until5(s73)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9808, 21657])).
% 9.08/6.56 tff(21659,plain,
% 9.08/6.56 (~node4(s73)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9812, 22, 21481])).
% 9.08/6.56 tff(21660,plain,
% 9.08/6.56 (xuntil6(s73) | (~until5(s73))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9819, 36, 21659])).
% 9.08/6.56 tff(21661,plain,
% 9.08/6.56 (xuntil6(s73)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21660, 21658])).
% 9.08/6.56 tff(21662,plain,
% 9.08/6.56 (until5(s74)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9825, 21661])).
% 9.08/6.56 tff(21663,plain,
% 9.08/6.56 (~node4(s74)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9829, 22, 21480])).
% 9.08/6.56 tff(21664,plain,
% 9.08/6.56 (xuntil6(s74) | (~until5(s74))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9836, 36, 21663])).
% 9.08/6.56 tff(21665,plain,
% 9.08/6.56 (xuntil6(s74)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21664, 21662])).
% 9.08/6.56 tff(21666,plain,
% 9.08/6.56 (until5(s75)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9842, 21665])).
% 9.08/6.56 tff(21667,plain,
% 9.08/6.56 (~node4(s75)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9846, 22, 21479])).
% 9.08/6.56 tff(21668,plain,
% 9.08/6.56 (xuntil6(s75) | (~until5(s75))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9853, 36, 21667])).
% 9.08/6.56 tff(21669,plain,
% 9.08/6.56 (xuntil6(s75)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21668, 21666])).
% 9.08/6.56 tff(21670,plain,
% 9.08/6.56 (until5(s76)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9859, 21669])).
% 9.08/6.56 tff(21671,plain,
% 9.08/6.56 (~node4(s76)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9863, 22, 21478])).
% 9.08/6.56 tff(21672,plain,
% 9.08/6.56 (xuntil6(s76) | (~until5(s76))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9870, 36, 21671])).
% 9.08/6.56 tff(21673,plain,
% 9.08/6.56 (xuntil6(s76)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21672, 21670])).
% 9.08/6.56 tff(21674,plain,
% 9.08/6.56 (until5(s77)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9876, 21673])).
% 9.08/6.56 tff(21675,plain,
% 9.08/6.56 (~node4(s77)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9880, 22, 21477])).
% 9.08/6.56 tff(21676,plain,
% 9.08/6.56 (xuntil6(s77) | (~until5(s77))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9887, 36, 21675])).
% 9.08/6.56 tff(21677,plain,
% 9.08/6.56 (xuntil6(s77)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21676, 21674])).
% 9.08/6.56 tff(21678,plain,
% 9.08/6.56 (until5(s78)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9893, 21677])).
% 9.08/6.56 tff(21679,plain,
% 9.08/6.56 (~node4(s78)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9897, 22, 21476])).
% 9.08/6.56 tff(21680,plain,
% 9.08/6.56 (xuntil6(s78) | (~until5(s78))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9904, 36, 21679])).
% 9.08/6.56 tff(21681,plain,
% 9.08/6.56 (xuntil6(s78)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21680, 21678])).
% 9.08/6.56 tff(21682,plain,
% 9.08/6.56 (until5(s79)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9910, 21681])).
% 9.08/6.56 tff(21683,plain,
% 9.08/6.56 (~node4(s79)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9914, 22, 21475])).
% 9.08/6.56 tff(21684,plain,
% 9.08/6.56 (xuntil6(s79) | (~until5(s79))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9921, 36, 21683])).
% 9.08/6.56 tff(21685,plain,
% 9.08/6.56 (xuntil6(s79)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21684, 21682])).
% 9.08/6.56 tff(21686,plain,
% 9.08/6.56 (until5(s80)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9927, 21685])).
% 9.08/6.56 tff(21687,plain,
% 9.08/6.56 (~node4(s80)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9931, 22, 21474])).
% 9.08/6.56 tff(21688,plain,
% 9.08/6.56 (xuntil6(s80) | (~until5(s80))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9938, 36, 21687])).
% 9.08/6.56 tff(21689,plain,
% 9.08/6.56 (xuntil6(s80)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21688, 21686])).
% 9.08/6.56 tff(21690,plain,
% 9.08/6.56 (until5(s81)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9944, 21689])).
% 9.08/6.56 tff(21691,plain,
% 9.08/6.56 (~node4(s81)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9948, 22, 21473])).
% 9.08/6.56 tff(21692,plain,
% 9.08/6.56 (xuntil6(s81) | (~until5(s81))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9955, 36, 21691])).
% 9.08/6.56 tff(21693,plain,
% 9.08/6.56 (xuntil6(s81)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21692, 21690])).
% 9.08/6.56 tff(21694,plain,
% 9.08/6.56 (until5(s82)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9961, 21693])).
% 9.08/6.56 tff(21695,plain,
% 9.08/6.56 (~node4(s82)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9965, 22, 21472])).
% 9.08/6.56 tff(21696,plain,
% 9.08/6.56 (xuntil6(s82) | (~until5(s82))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9972, 36, 21695])).
% 9.08/6.56 tff(21697,plain,
% 9.08/6.56 (xuntil6(s82)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21696, 21694])).
% 9.08/6.56 tff(21698,plain,
% 9.08/6.56 (until5(s83)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9978, 21697])).
% 9.08/6.56 tff(21699,plain,
% 9.08/6.56 (~node4(s83)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9982, 22, 21471])).
% 9.08/6.56 tff(21700,plain,
% 9.08/6.56 (xuntil6(s83) | (~until5(s83))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9989, 36, 21699])).
% 9.08/6.56 tff(21701,plain,
% 9.08/6.56 (xuntil6(s83)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21700, 21698])).
% 9.08/6.56 tff(21702,plain,
% 9.08/6.56 ($false),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9995, 21701, 21470])).
% 9.08/6.56 tff(21703,plain,(always3(s129) | xuntil6(s129)), inference(lemma,lemma(discharge,[]))).
% 9.08/6.56 tff(21704,plain,
% 9.08/6.56 (always3(s129)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21703, 21242])).
% 9.08/6.56 tff(21705,plain,
% 9.08/6.56 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s129)) | (~m_main_v_state(s129, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s129)) | (~m_main_v_state(s129, c_busy)))),
% 9.08/6.56 inference(rewrite,[status(thm)],[])).
% 9.08/6.56 tff(21706,plain,
% 9.08/6.56 (((~m_main_v_state(s129, c_busy)) | (~always3(s129))) <=> ((~always3(s129)) | (~m_main_v_state(s129, c_busy)))),
% 9.08/6.56 inference(rewrite,[status(thm)],[])).
% 9.08/6.56 tff(21707,plain,
% 9.08/6.56 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s129, c_busy)) | (~always3(s129)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s129)) | (~m_main_v_state(s129, c_busy))))),
% 9.08/6.56 inference(monotonicity,[status(thm)],[21706])).
% 9.08/6.56 tff(21708,plain,
% 9.08/6.56 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s129, c_busy)) | (~always3(s129)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s129)) | (~m_main_v_state(s129, c_busy)))),
% 9.08/6.56 inference(transitivity,[status(thm)],[21707, 21705])).
% 9.08/6.56 tff(21709,plain,
% 9.08/6.56 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s129, c_busy)) | (~always3(s129)))),
% 9.08/6.56 inference(quant_inst,[status(thm)],[])).
% 9.08/6.56 tff(21710,plain,
% 9.08/6.56 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s129)) | (~m_main_v_state(s129, c_busy))),
% 9.08/6.56 inference(modus_ponens,[status(thm)],[21709, 21708])).
% 9.08/6.56 tff(21711,plain,
% 9.08/6.56 (~m_main_v_state(s129, c_busy)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21710, 170, 21704])).
% 9.08/6.56 tff(21712,assumption,(~xuntil6(s128)), introduced(assumption)).
% 9.08/6.56 tff(21713,assumption,(~always3(s128)), introduced(assumption)).
% 9.08/6.56 tff(21714,plain,
% 9.08/6.56 (~always3(s127)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8726, 21713])).
% 9.08/6.56 tff(21715,plain,
% 9.08/6.56 (~node4(s127)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10730, 22, 21714])).
% 9.08/6.56 tff(21716,plain,
% 9.08/6.56 (xuntil6(s127) | node4(s127)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10737, 36, 21241])).
% 9.08/6.56 tff(21717,plain,
% 9.08/6.56 (xuntil6(s127)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21716, 21715])).
% 9.08/6.56 tff(21718,plain,
% 9.08/6.56 (until5(s128)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10743, 21717])).
% 9.08/6.56 tff(21719,plain,
% 9.08/6.56 (node4(s128) | (~until5(s128))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10754, 36, 21712])).
% 9.08/6.56 tff(21720,plain,
% 9.08/6.56 (node4(s128)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21719, 21718])).
% 9.08/6.56 tff(21721,plain,
% 9.08/6.56 ($false),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10747, 22, 21713, 21720])).
% 9.08/6.56 tff(21722,plain,(always3(s128) | xuntil6(s128) | (~until5(s127))), inference(lemma,lemma(discharge,[]))).
% 9.08/6.56 tff(21723,plain,
% 9.08/6.56 (always3(s128)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21722, 21241, 21712])).
% 9.08/6.56 tff(21724,plain,
% 9.08/6.56 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s128)) | (~m_main_v_state(s128, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s128)) | (~m_main_v_state(s128, c_busy)))),
% 9.08/6.56 inference(rewrite,[status(thm)],[])).
% 9.08/6.56 tff(21725,plain,
% 9.08/6.56 (((~m_main_v_state(s128, c_busy)) | (~always3(s128))) <=> ((~always3(s128)) | (~m_main_v_state(s128, c_busy)))),
% 9.08/6.56 inference(rewrite,[status(thm)],[])).
% 9.08/6.56 tff(21726,plain,
% 9.08/6.56 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s128, c_busy)) | (~always3(s128)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s128)) | (~m_main_v_state(s128, c_busy))))),
% 9.08/6.56 inference(monotonicity,[status(thm)],[21725])).
% 9.08/6.56 tff(21727,plain,
% 9.08/6.56 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s128, c_busy)) | (~always3(s128)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s128)) | (~m_main_v_state(s128, c_busy)))),
% 9.08/6.56 inference(transitivity,[status(thm)],[21726, 21724])).
% 9.08/6.56 tff(21728,plain,
% 9.08/6.56 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s128, c_busy)) | (~always3(s128)))),
% 9.08/6.56 inference(quant_inst,[status(thm)],[])).
% 9.08/6.56 tff(21729,plain,
% 9.08/6.56 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s128)) | (~m_main_v_state(s128, c_busy))),
% 9.08/6.56 inference(modus_ponens,[status(thm)],[21728, 21727])).
% 9.08/6.56 tff(21730,plain,
% 9.08/6.56 (~m_main_v_state(s128, c_busy)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21729, 170, 21723])).
% 9.08/6.56 tff(21731,assumption,(~m_main_v_state(s129, c_busy)), introduced(assumption)).
% 9.08/6.56 tff(21732,plain,
% 9.08/6.56 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s128, c_busy) | m_main_v_state(s128, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s128, c_busy) | m_main_v_state(s128, c_ready))),
% 9.08/6.56 inference(rewrite,[status(thm)],[])).
% 9.08/6.56 tff(21733,plain,
% 9.08/6.56 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s128, c_busy) | m_main_v_state(s128, c_ready))),
% 9.08/6.56 inference(quant_inst,[status(thm)],[])).
% 9.08/6.56 tff(21734,plain,
% 9.08/6.56 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s128, c_busy) | m_main_v_state(s128, c_ready)),
% 9.08/6.56 inference(modus_ponens,[status(thm)],[21733, 21732])).
% 9.08/6.56 tff(21735,plain,
% 9.08/6.56 (m_main_v_state(s128, c_ready)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21734, 213, 21730])).
% 9.08/6.56 tff(21736,plain,
% 9.08/6.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s128, s129)) | node2(s128, s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s128, s129)) | node2(s128, s129))),
% 9.08/6.56 inference(rewrite,[status(thm)],[])).
% 9.08/6.56 tff(21737,plain,
% 9.08/6.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s128, s129)) | node2(s128, s129))),
% 9.08/6.56 inference(quant_inst,[status(thm)],[])).
% 9.08/6.56 tff(21738,plain,
% 9.08/6.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s128, s129)) | node2(s128, s129)),
% 9.08/6.56 inference(modus_ponens,[status(thm)],[21737, 21736])).
% 9.08/6.56 tff(21739,plain,
% 9.08/6.56 (node2(s128, s129)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21738, 7, 8710])).
% 9.08/6.56 tff(21740,plain,
% 9.08/6.56 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s128, c_ready)) | (~node2(s128, s129)) | m_main_v_state(s129, c_busy) | (~m_main_v_request(s128)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s128, c_ready)) | (~node2(s128, s129)) | m_main_v_state(s129, c_busy) | (~m_main_v_request(s128)))),
% 9.08/6.56 inference(rewrite,[status(thm)],[])).
% 9.08/6.56 tff(21741,plain,
% 9.08/6.56 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s128, c_ready)) | (~node2(s128, s129)) | m_main_v_state(s129, c_busy) | (~m_main_v_request(s128)))),
% 9.08/6.56 inference(quant_inst,[status(thm)],[])).
% 9.08/6.56 tff(21742,plain,
% 9.08/6.56 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s128, c_ready)) | (~node2(s128, s129)) | m_main_v_state(s129, c_busy) | (~m_main_v_request(s128))),
% 9.08/6.56 inference(modus_ponens,[status(thm)],[21741, 21740])).
% 9.08/6.56 tff(21743,plain,
% 9.08/6.56 ((~m_main_v_state(s128, c_ready)) | m_main_v_state(s129, c_busy) | (~m_main_v_request(s128))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21742, 191, 21739])).
% 9.08/6.56 tff(21744,plain,
% 9.08/6.56 (~m_main_v_request(s128)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21743, 21735, 21731])).
% 9.08/6.56 tff(21745,plain,
% 9.08/6.56 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s128) | (~node4(s128)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s128) | (~node4(s128)))),
% 9.08/6.56 inference(rewrite,[status(thm)],[])).
% 9.08/6.56 tff(21746,plain,
% 9.08/6.56 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s128) | (~node4(s128)))),
% 9.08/6.56 inference(quant_inst,[status(thm)],[])).
% 9.08/6.56 tff(21747,plain,
% 9.08/6.56 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s128) | (~node4(s128))),
% 9.08/6.56 inference(modus_ponens,[status(thm)],[21746, 21745])).
% 9.08/6.56 tff(21748,plain,
% 9.08/6.56 (~node4(s128)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21747, 154, 21744])).
% 9.08/6.56 tff(21749,plain,
% 9.08/6.56 (~until5(s128)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21719, 21748])).
% 9.08/6.56 tff(21750,plain,
% 9.08/6.56 (~xuntil6(s127)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10743, 21749])).
% 9.08/6.56 tff(21751,plain,
% 9.08/6.56 (node4(s127)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21716, 21750])).
% 9.08/6.56 tff(21752,plain,
% 9.08/6.56 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s127) | (~node4(s127)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s127) | (~node4(s127)))),
% 9.08/6.56 inference(rewrite,[status(thm)],[])).
% 9.08/6.56 tff(21753,plain,
% 9.08/6.56 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s127) | (~node4(s127)))),
% 9.08/6.56 inference(quant_inst,[status(thm)],[])).
% 9.08/6.56 tff(21754,plain,
% 9.08/6.56 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s127) | (~node4(s127))),
% 9.08/6.56 inference(modus_ponens,[status(thm)],[21753, 21752])).
% 9.08/6.56 tff(21755,plain,
% 9.08/6.56 (m_main_v_request(s127)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21754, 154, 21751])).
% 9.08/6.56 tff(21756,plain,
% 9.08/6.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s127, s128)) | node2(s127, s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s127, s128)) | node2(s127, s128))),
% 9.08/6.56 inference(rewrite,[status(thm)],[])).
% 9.08/6.56 tff(21757,plain,
% 9.08/6.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s127, s128)) | node2(s127, s128))),
% 9.08/6.56 inference(quant_inst,[status(thm)],[])).
% 9.08/6.56 tff(21758,plain,
% 9.08/6.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s127, s128)) | node2(s127, s128)),
% 9.08/6.56 inference(modus_ponens,[status(thm)],[21757, 21756])).
% 9.08/6.56 tff(21759,plain,
% 9.08/6.56 (node2(s127, s128)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21758, 7, 8722])).
% 9.08/6.56 tff(21760,plain,
% 9.08/6.56 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s127, c_ready)) | (~node2(s127, s128)) | m_main_v_state(s128, c_busy) | (~m_main_v_request(s127)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s127, c_ready)) | (~node2(s127, s128)) | m_main_v_state(s128, c_busy) | (~m_main_v_request(s127)))),
% 9.08/6.56 inference(rewrite,[status(thm)],[])).
% 9.08/6.56 tff(21761,plain,
% 9.08/6.56 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s127, c_ready)) | (~node2(s127, s128)) | m_main_v_state(s128, c_busy) | (~m_main_v_request(s127)))),
% 9.08/6.56 inference(quant_inst,[status(thm)],[])).
% 9.08/6.56 tff(21762,plain,
% 9.08/6.56 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s127, c_ready)) | (~node2(s127, s128)) | m_main_v_state(s128, c_busy) | (~m_main_v_request(s127))),
% 9.08/6.56 inference(modus_ponens,[status(thm)],[21761, 21760])).
% 9.08/6.56 tff(21763,plain,
% 9.08/6.56 ((~m_main_v_state(s127, c_ready)) | m_main_v_state(s128, c_busy) | (~m_main_v_request(s127))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21762, 191, 21759])).
% 9.08/6.56 tff(21764,plain,
% 9.08/6.56 (~m_main_v_state(s127, c_ready)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21763, 21755, 21730])).
% 9.08/6.56 tff(21765,plain,
% 9.08/6.56 (always3(s127)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10730, 22, 21751])).
% 9.08/6.56 tff(21766,plain,
% 9.08/6.56 (~m_main_v_state(s127, c_busy)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21184, 170, 21765])).
% 9.08/6.56 tff(21767,plain,
% 9.08/6.56 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s127, c_busy) | m_main_v_state(s127, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s127, c_busy) | m_main_v_state(s127, c_ready))),
% 9.08/6.56 inference(rewrite,[status(thm)],[])).
% 9.08/6.56 tff(21768,plain,
% 9.08/6.56 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s127, c_busy) | m_main_v_state(s127, c_ready))),
% 9.08/6.56 inference(quant_inst,[status(thm)],[])).
% 9.08/6.56 tff(21769,plain,
% 9.08/6.56 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s127, c_busy) | m_main_v_state(s127, c_ready)),
% 9.08/6.56 inference(modus_ponens,[status(thm)],[21768, 21767])).
% 9.08/6.56 tff(21770,plain,
% 9.08/6.56 ($false),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21769, 213, 21766, 21764])).
% 9.08/6.56 tff(21771,plain,((~until5(s127)) | xuntil6(s128) | m_main_v_state(s129, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.08/6.56 tff(21772,plain,
% 9.08/6.56 (xuntil6(s128)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21771, 21711, 21241])).
% 9.08/6.56 tff(21773,plain,
% 9.08/6.56 (until5(s129)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10760, 21772])).
% 9.08/6.56 tff(21774,plain,
% 9.08/6.56 (node4(s129)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21247, 21773])).
% 9.08/6.56 tff(21775,plain,
% 9.08/6.56 (always3(s130)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8702, 21704])).
% 9.08/6.56 tff(21776,plain,
% 9.08/6.56 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s130)) | (~m_main_v_state(s130, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s130)) | (~m_main_v_state(s130, c_busy)))),
% 9.08/6.56 inference(rewrite,[status(thm)],[])).
% 9.08/6.56 tff(21777,plain,
% 9.08/6.56 (((~m_main_v_state(s130, c_busy)) | (~always3(s130))) <=> ((~always3(s130)) | (~m_main_v_state(s130, c_busy)))),
% 9.08/6.56 inference(rewrite,[status(thm)],[])).
% 9.08/6.56 tff(21778,plain,
% 9.08/6.56 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s130, c_busy)) | (~always3(s130)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s130)) | (~m_main_v_state(s130, c_busy))))),
% 9.08/6.56 inference(monotonicity,[status(thm)],[21777])).
% 9.08/6.56 tff(21779,plain,
% 9.08/6.56 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s130, c_busy)) | (~always3(s130)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s130)) | (~m_main_v_state(s130, c_busy)))),
% 9.08/6.56 inference(transitivity,[status(thm)],[21778, 21776])).
% 9.08/6.56 tff(21780,plain,
% 9.08/6.56 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s130, c_busy)) | (~always3(s130)))),
% 9.08/6.56 inference(quant_inst,[status(thm)],[])).
% 9.08/6.56 tff(21781,plain,
% 9.08/6.56 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s130)) | (~m_main_v_state(s130, c_busy))),
% 9.08/6.56 inference(modus_ponens,[status(thm)],[21780, 21779])).
% 9.08/6.56 tff(21782,plain,
% 9.08/6.56 (~m_main_v_state(s130, c_busy)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21781, 170, 21775])).
% 9.08/6.56 tff(21783,assumption,(~m_main_v_state(s129, c_ready)), introduced(assumption)).
% 9.08/6.56 tff(21784,plain,
% 9.08/6.56 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s128, s129)) | m_main_v_state(s129, c_busy) | node1(s128) | m_main_v_state(s129, 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(s128, s129)) | m_main_v_state(s129, c_busy) | node1(s128) | m_main_v_state(s129, c_ready))),
% 9.08/6.56 inference(rewrite,[status(thm)],[])).
% 9.08/6.56 tff(21785,plain,
% 9.08/6.56 ((node1(s128) | m_main_v_state(s129, c_ready) | (~node2(s128, s129)) | m_main_v_state(s129, c_busy)) <=> ((~node2(s128, s129)) | m_main_v_state(s129, c_busy) | node1(s128) | m_main_v_state(s129, c_ready))),
% 9.08/6.56 inference(rewrite,[status(thm)],[])).
% 9.08/6.56 tff(21786,plain,
% 9.08/6.56 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s128) | m_main_v_state(s129, c_ready) | (~node2(s128, s129)) | m_main_v_state(s129, 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(s128, s129)) | m_main_v_state(s129, c_busy) | node1(s128) | m_main_v_state(s129, c_ready)))),
% 9.08/6.56 inference(monotonicity,[status(thm)],[21785])).
% 9.08/6.56 tff(21787,plain,
% 9.08/6.56 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s128) | m_main_v_state(s129, c_ready) | (~node2(s128, s129)) | m_main_v_state(s129, 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(s128, s129)) | m_main_v_state(s129, c_busy) | node1(s128) | m_main_v_state(s129, c_ready))),
% 9.08/6.56 inference(transitivity,[status(thm)],[21786, 21784])).
% 9.08/6.56 tff(21788,plain,
% 9.08/6.56 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s128) | m_main_v_state(s129, c_ready) | (~node2(s128, s129)) | m_main_v_state(s129, c_busy))),
% 9.08/6.56 inference(quant_inst,[status(thm)],[])).
% 9.08/6.56 tff(21789,plain,
% 9.08/6.56 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s128, s129)) | m_main_v_state(s129, c_busy) | node1(s128) | m_main_v_state(s129, c_ready)),
% 9.08/6.56 inference(modus_ponens,[status(thm)],[21788, 21787])).
% 9.08/6.56 tff(21790,plain,
% 9.08/6.56 (m_main_v_state(s129, c_busy) | node1(s128) | m_main_v_state(s129, c_ready)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21789, 4166, 21739])).
% 9.08/6.56 tff(21791,plain,
% 9.08/6.56 (node1(s128)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21790, 21731, 21783])).
% 9.08/6.56 tff(21792,plain,
% 9.08/6.56 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s128, c_ready) | (~node1(s128)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s128, c_ready) | (~node1(s128)))),
% 9.08/6.56 inference(rewrite,[status(thm)],[])).
% 9.08/6.56 tff(21793,plain,
% 9.08/6.56 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s128, c_ready) | (~node1(s128)))),
% 9.08/6.56 inference(quant_inst,[status(thm)],[])).
% 9.08/6.56 tff(21794,plain,
% 9.08/6.56 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s128, c_ready) | (~node1(s128))),
% 9.08/6.56 inference(modus_ponens,[status(thm)],[21793, 21792])).
% 9.08/6.56 tff(21795,plain,
% 9.08/6.56 (m_main_v_state(s128, c_ready)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21794, 4151, 21791])).
% 9.08/6.56 tff(21796,plain,
% 9.08/6.56 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s128) | (~node1(s128)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s128) | (~node1(s128)))),
% 9.08/6.56 inference(rewrite,[status(thm)],[])).
% 9.08/6.56 tff(21797,plain,
% 9.08/6.56 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s128) | (~node1(s128)))),
% 9.08/6.56 inference(quant_inst,[status(thm)],[])).
% 9.08/6.56 tff(21798,plain,
% 9.08/6.56 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s128) | (~node1(s128))),
% 9.08/6.56 inference(modus_ponens,[status(thm)],[21797, 21796])).
% 9.08/6.56 tff(21799,plain,
% 9.08/6.56 (m_main_v_request(s128)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21798, 14380, 21791])).
% 9.08/6.56 tff(21800,plain,
% 9.08/6.56 ($false),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21743, 21799, 21795, 21731])).
% 9.08/6.56 tff(21801,plain,(m_main_v_state(s129, c_busy) | m_main_v_state(s129, c_ready)), inference(lemma,lemma(discharge,[]))).
% 9.08/6.56 tff(21802,plain,
% 9.08/6.56 (m_main_v_state(s129, c_ready)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21801, 21711])).
% 9.08/6.56 tff(21803,plain,
% 9.08/6.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s129, s130)) | node2(s129, s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s129, s130)) | node2(s129, s130))),
% 9.08/6.56 inference(rewrite,[status(thm)],[])).
% 9.08/6.56 tff(21804,plain,
% 9.08/6.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s129, s130)) | node2(s129, s130))),
% 9.08/6.56 inference(quant_inst,[status(thm)],[])).
% 9.08/6.56 tff(21805,plain,
% 9.08/6.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s129, s130)) | node2(s129, s130)),
% 9.08/6.56 inference(modus_ponens,[status(thm)],[21804, 21803])).
% 9.08/6.56 tff(21806,plain,
% 9.08/6.56 (node2(s129, s130)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21805, 7, 8698])).
% 9.08/6.56 tff(21807,plain,
% 9.08/6.56 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s129, c_ready)) | (~node2(s129, s130)) | m_main_v_state(s130, c_busy) | (~m_main_v_request(s129)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s129, c_ready)) | (~node2(s129, s130)) | m_main_v_state(s130, c_busy) | (~m_main_v_request(s129)))),
% 9.08/6.56 inference(rewrite,[status(thm)],[])).
% 9.08/6.56 tff(21808,plain,
% 9.08/6.56 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s129, c_ready)) | (~node2(s129, s130)) | m_main_v_state(s130, c_busy) | (~m_main_v_request(s129)))),
% 9.08/6.56 inference(quant_inst,[status(thm)],[])).
% 9.08/6.56 tff(21809,plain,
% 9.08/6.56 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s129, c_ready)) | (~node2(s129, s130)) | m_main_v_state(s130, c_busy) | (~m_main_v_request(s129))),
% 9.08/6.56 inference(modus_ponens,[status(thm)],[21808, 21807])).
% 9.08/6.56 tff(21810,plain,
% 9.08/6.56 ((~m_main_v_state(s129, c_ready)) | m_main_v_state(s130, c_busy) | (~m_main_v_request(s129))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21809, 191, 21806])).
% 9.08/6.56 tff(21811,plain,
% 9.08/6.56 (~m_main_v_request(s129)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21810, 21802, 21782])).
% 9.08/6.56 tff(21812,plain,
% 9.08/6.56 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s129) | (~node4(s129)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s129) | (~node4(s129)))),
% 9.08/6.56 inference(rewrite,[status(thm)],[])).
% 9.08/6.56 tff(21813,plain,
% 9.08/6.56 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s129) | (~node4(s129)))),
% 9.08/6.56 inference(quant_inst,[status(thm)],[])).
% 9.08/6.56 tff(21814,plain,
% 9.08/6.56 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s129) | (~node4(s129))),
% 9.08/6.56 inference(modus_ponens,[status(thm)],[21813, 21812])).
% 9.08/6.56 tff(21815,plain,
% 9.08/6.56 ($false),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21814, 154, 21811, 21774])).
% 9.08/6.56 tff(21816,plain,(xuntil6(s129) | (~until5(s127))), inference(lemma,lemma(discharge,[]))).
% 9.08/6.56 tff(21817,plain,
% 9.08/6.56 (xuntil6(s129)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21816, 21240])).
% 9.08/6.56 tff(21818,plain,
% 9.08/6.56 (until5(s130)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10777, 21817])).
% 9.08/6.56 tff(21819,assumption,(~xuntil6(s131)), introduced(assumption)).
% 9.08/6.56 tff(21820,assumption,(~always3(s131)), introduced(assumption)).
% 9.08/6.56 tff(21821,plain,
% 9.08/6.56 (~always3(s130)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8690, 21820])).
% 9.08/6.56 tff(21822,plain,
% 9.08/6.56 (~node4(s130)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10781, 22, 21821])).
% 9.08/6.56 tff(21823,plain,
% 9.08/6.56 (~node4(s131)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10798, 22, 21820])).
% 9.08/6.56 tff(21824,plain,
% 9.08/6.56 (node4(s131) | (~until5(s131))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10805, 36, 21819])).
% 9.08/6.56 tff(21825,plain,
% 9.08/6.56 (~until5(s131)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21824, 21823])).
% 9.08/6.56 tff(21826,plain,
% 9.08/6.56 (~xuntil6(s130)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10794, 21825])).
% 9.08/6.56 tff(21827,plain,
% 9.08/6.56 (~until5(s130)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10788, 36, 21826, 21822])).
% 9.08/6.56 tff(21828,plain,
% 9.08/6.56 (~xuntil6(s129)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10777, 21827])).
% 9.08/6.56 tff(21829,plain,
% 9.08/6.56 (~always3(s129)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8702, 21821])).
% 9.08/6.56 tff(21830,plain,
% 9.08/6.56 (~node4(s129)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10764, 22, 21829])).
% 9.08/6.56 tff(21831,plain,
% 9.08/6.56 (xuntil6(s129) | (~until5(s129))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10771, 36, 21830])).
% 9.08/6.56 tff(21832,plain,
% 9.08/6.56 (~until5(s129)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21831, 21828])).
% 9.08/6.56 tff(21833,plain,
% 9.08/6.56 (~xuntil6(s128)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10760, 21832])).
% 9.08/6.56 tff(21834,plain,
% 9.08/6.56 (~always3(s128)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8714, 21829])).
% 9.08/6.56 tff(21835,plain,
% 9.08/6.56 (~node4(s128)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10747, 22, 21834])).
% 9.08/6.56 tff(21836,plain,
% 9.08/6.56 (xuntil6(s128) | (~until5(s128))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10754, 36, 21835])).
% 9.08/6.56 tff(21837,plain,
% 9.08/6.56 (~until5(s128)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21836, 21833])).
% 9.08/6.56 tff(21838,plain,
% 9.08/6.56 (~xuntil6(s127)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10743, 21837])).
% 9.08/6.56 tff(21839,plain,
% 9.08/6.56 (~always3(s127)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8726, 21834])).
% 9.08/6.56 tff(21840,plain,
% 9.08/6.56 (~node4(s127)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10730, 22, 21839])).
% 9.08/6.56 tff(21841,plain,
% 9.08/6.56 (xuntil6(s127) | (~until5(s127))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10737, 36, 21840])).
% 9.08/6.56 tff(21842,plain,
% 9.08/6.56 (~until5(s127)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21841, 21838])).
% 9.08/6.56 tff(21843,plain,
% 9.08/6.56 (~xuntil6(s126)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10726, 21842])).
% 9.08/6.56 tff(21844,plain,
% 9.08/6.56 (~always3(s126)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8738, 21839])).
% 9.08/6.56 tff(21845,plain,
% 9.08/6.56 (~node4(s126)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10713, 22, 21844])).
% 9.08/6.56 tff(21846,plain,
% 9.08/6.56 (xuntil6(s126) | (~until5(s126))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10720, 36, 21845])).
% 9.08/6.56 tff(21847,plain,
% 9.08/6.56 (~until5(s126)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21846, 21843])).
% 9.08/6.56 tff(21848,plain,
% 9.08/6.56 (~xuntil6(s125)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10709, 21847])).
% 9.08/6.56 tff(21849,plain,
% 9.08/6.56 (~always3(s125)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8750, 21844])).
% 9.08/6.56 tff(21850,plain,
% 9.08/6.56 (~node4(s125)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10696, 22, 21849])).
% 9.08/6.56 tff(21851,plain,
% 9.08/6.56 (xuntil6(s125) | (~until5(s125))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10703, 36, 21850])).
% 9.08/6.56 tff(21852,plain,
% 9.08/6.56 (~until5(s125)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21851, 21848])).
% 9.08/6.56 tff(21853,plain,
% 9.08/6.56 (~xuntil6(s124)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10692, 21852])).
% 9.08/6.56 tff(21854,plain,
% 9.08/6.56 (~always3(s124)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8762, 21849])).
% 9.08/6.56 tff(21855,plain,
% 9.08/6.56 (~node4(s124)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10679, 22, 21854])).
% 9.08/6.56 tff(21856,plain,
% 9.08/6.56 (xuntil6(s124) | (~until5(s124))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10686, 36, 21855])).
% 9.08/6.56 tff(21857,plain,
% 9.08/6.56 (~until5(s124)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21856, 21853])).
% 9.08/6.56 tff(21858,plain,
% 9.08/6.56 (~xuntil6(s123)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10675, 21857])).
% 9.08/6.56 tff(21859,plain,
% 9.08/6.56 (~always3(s123)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8774, 21854])).
% 9.08/6.56 tff(21860,plain,
% 9.08/6.56 (~node4(s123)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10662, 22, 21859])).
% 9.08/6.56 tff(21861,plain,
% 9.08/6.56 (xuntil6(s123) | (~until5(s123))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10669, 36, 21860])).
% 9.08/6.56 tff(21862,plain,
% 9.08/6.56 (~until5(s123)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21861, 21858])).
% 9.08/6.56 tff(21863,plain,
% 9.08/6.56 (~xuntil6(s122)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10658, 21862])).
% 9.08/6.56 tff(21864,plain,
% 9.08/6.56 (~always3(s122)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8786, 21859])).
% 9.08/6.56 tff(21865,plain,
% 9.08/6.56 (~node4(s122)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10645, 22, 21864])).
% 9.08/6.56 tff(21866,plain,
% 9.08/6.56 (xuntil6(s122) | (~until5(s122))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10652, 36, 21865])).
% 9.08/6.56 tff(21867,plain,
% 9.08/6.56 (~until5(s122)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21866, 21863])).
% 9.08/6.56 tff(21868,plain,
% 9.08/6.56 (~xuntil6(s121)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10641, 21867])).
% 9.08/6.56 tff(21869,plain,
% 9.08/6.56 (~always3(s121)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8798, 21864])).
% 9.08/6.56 tff(21870,plain,
% 9.08/6.56 (~node4(s121)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10628, 22, 21869])).
% 9.08/6.56 tff(21871,plain,
% 9.08/6.56 (xuntil6(s121) | (~until5(s121))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10635, 36, 21870])).
% 9.08/6.56 tff(21872,plain,
% 9.08/6.56 (~until5(s121)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21871, 21868])).
% 9.08/6.56 tff(21873,plain,
% 9.08/6.56 (~xuntil6(s120)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10624, 21872])).
% 9.08/6.56 tff(21874,plain,
% 9.08/6.56 (~always3(s120)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8810, 21869])).
% 9.08/6.56 tff(21875,plain,
% 9.08/6.56 (~node4(s120)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10611, 22, 21874])).
% 9.08/6.56 tff(21876,plain,
% 9.08/6.56 (xuntil6(s120) | (~until5(s120))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10618, 36, 21875])).
% 9.08/6.56 tff(21877,plain,
% 9.08/6.56 (~until5(s120)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21876, 21873])).
% 9.08/6.56 tff(21878,plain,
% 9.08/6.56 (~xuntil6(s119)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10607, 21877])).
% 9.08/6.56 tff(21879,plain,
% 9.08/6.56 (~always3(s119)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8822, 21874])).
% 9.08/6.56 tff(21880,plain,
% 9.08/6.56 (~node4(s119)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10594, 22, 21879])).
% 9.08/6.56 tff(21881,plain,
% 9.08/6.56 (xuntil6(s119) | (~until5(s119))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10601, 36, 21880])).
% 9.08/6.56 tff(21882,plain,
% 9.08/6.56 (~until5(s119)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21881, 21878])).
% 9.08/6.56 tff(21883,plain,
% 9.08/6.56 (~xuntil6(s118)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10590, 21882])).
% 9.08/6.56 tff(21884,plain,
% 9.08/6.56 (~always3(s118)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8834, 21879])).
% 9.08/6.56 tff(21885,plain,
% 9.08/6.56 (~node4(s118)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10577, 22, 21884])).
% 9.08/6.56 tff(21886,plain,
% 9.08/6.56 (xuntil6(s118) | (~until5(s118))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10584, 36, 21885])).
% 9.08/6.56 tff(21887,plain,
% 9.08/6.56 (~until5(s118)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21886, 21883])).
% 9.08/6.56 tff(21888,plain,
% 9.08/6.56 (~xuntil6(s117)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10573, 21887])).
% 9.08/6.56 tff(21889,plain,
% 9.08/6.56 (~always3(s117)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8846, 21884])).
% 9.08/6.56 tff(21890,plain,
% 9.08/6.56 (~node4(s117)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10560, 22, 21889])).
% 9.08/6.56 tff(21891,plain,
% 9.08/6.56 (xuntil6(s117) | (~until5(s117))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10567, 36, 21890])).
% 9.08/6.56 tff(21892,plain,
% 9.08/6.56 (~until5(s117)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21891, 21888])).
% 9.08/6.56 tff(21893,plain,
% 9.08/6.56 (~xuntil6(s116)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10556, 21892])).
% 9.08/6.56 tff(21894,plain,
% 9.08/6.56 (~always3(s116)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8858, 21889])).
% 9.08/6.56 tff(21895,plain,
% 9.08/6.56 (~node4(s116)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10543, 22, 21894])).
% 9.08/6.56 tff(21896,plain,
% 9.08/6.56 (xuntil6(s116) | (~until5(s116))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10550, 36, 21895])).
% 9.08/6.56 tff(21897,plain,
% 9.08/6.56 (~until5(s116)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21896, 21893])).
% 9.08/6.56 tff(21898,plain,
% 9.08/6.56 (~xuntil6(s115)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10539, 21897])).
% 9.08/6.56 tff(21899,plain,
% 9.08/6.56 (~always3(s115)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8870, 21894])).
% 9.08/6.56 tff(21900,plain,
% 9.08/6.56 (~node4(s115)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10526, 22, 21899])).
% 9.08/6.56 tff(21901,plain,
% 9.08/6.56 (xuntil6(s115) | (~until5(s115))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10533, 36, 21900])).
% 9.08/6.56 tff(21902,plain,
% 9.08/6.56 (~until5(s115)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21901, 21898])).
% 9.08/6.56 tff(21903,plain,
% 9.08/6.56 (~xuntil6(s114)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10522, 21902])).
% 9.08/6.56 tff(21904,plain,
% 9.08/6.56 (~always3(s114)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8882, 21899])).
% 9.08/6.56 tff(21905,plain,
% 9.08/6.56 (~node4(s114)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10509, 22, 21904])).
% 9.08/6.56 tff(21906,plain,
% 9.08/6.56 (xuntil6(s114) | (~until5(s114))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10516, 36, 21905])).
% 9.08/6.56 tff(21907,plain,
% 9.08/6.56 (~until5(s114)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21906, 21903])).
% 9.08/6.56 tff(21908,plain,
% 9.08/6.56 (~xuntil6(s113)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10505, 21907])).
% 9.08/6.56 tff(21909,plain,
% 9.08/6.56 (~always3(s113)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8894, 21904])).
% 9.08/6.56 tff(21910,plain,
% 9.08/6.56 (~node4(s113)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10492, 22, 21909])).
% 9.08/6.56 tff(21911,plain,
% 9.08/6.56 (xuntil6(s113) | (~until5(s113))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10499, 36, 21910])).
% 9.08/6.56 tff(21912,plain,
% 9.08/6.56 (~until5(s113)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21911, 21908])).
% 9.08/6.56 tff(21913,plain,
% 9.08/6.56 (~xuntil6(s112)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10488, 21912])).
% 9.08/6.56 tff(21914,plain,
% 9.08/6.56 (~always3(s112)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8906, 21909])).
% 9.08/6.56 tff(21915,plain,
% 9.08/6.56 (~node4(s112)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10475, 22, 21914])).
% 9.08/6.56 tff(21916,plain,
% 9.08/6.56 (xuntil6(s112) | (~until5(s112))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10482, 36, 21915])).
% 9.08/6.56 tff(21917,plain,
% 9.08/6.56 (~until5(s112)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21916, 21913])).
% 9.08/6.56 tff(21918,plain,
% 9.08/6.56 (~xuntil6(s111)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10471, 21917])).
% 9.08/6.56 tff(21919,plain,
% 9.08/6.56 (~always3(s111)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8918, 21914])).
% 9.08/6.56 tff(21920,plain,
% 9.08/6.56 (~node4(s111)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10458, 22, 21919])).
% 9.08/6.56 tff(21921,plain,
% 9.08/6.56 (xuntil6(s111) | (~until5(s111))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10465, 36, 21920])).
% 9.08/6.56 tff(21922,plain,
% 9.08/6.56 (~until5(s111)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21921, 21918])).
% 9.08/6.56 tff(21923,plain,
% 9.08/6.56 (~xuntil6(s110)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10454, 21922])).
% 9.08/6.56 tff(21924,plain,
% 9.08/6.56 (~always3(s110)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8930, 21919])).
% 9.08/6.56 tff(21925,plain,
% 9.08/6.56 (~node4(s110)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10441, 22, 21924])).
% 9.08/6.56 tff(21926,plain,
% 9.08/6.56 (xuntil6(s110) | (~until5(s110))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10448, 36, 21925])).
% 9.08/6.56 tff(21927,plain,
% 9.08/6.56 (~until5(s110)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21926, 21923])).
% 9.08/6.56 tff(21928,plain,
% 9.08/6.56 (~xuntil6(s109)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10437, 21927])).
% 9.08/6.56 tff(21929,plain,
% 9.08/6.56 (~always3(s109)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8942, 21924])).
% 9.08/6.56 tff(21930,plain,
% 9.08/6.56 (~node4(s109)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10424, 22, 21929])).
% 9.08/6.56 tff(21931,plain,
% 9.08/6.56 (xuntil6(s109) | (~until5(s109))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10431, 36, 21930])).
% 9.08/6.56 tff(21932,plain,
% 9.08/6.56 (~until5(s109)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21931, 21928])).
% 9.08/6.56 tff(21933,plain,
% 9.08/6.56 (~xuntil6(s108)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10420, 21932])).
% 9.08/6.56 tff(21934,plain,
% 9.08/6.56 (~always3(s108)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8954, 21929])).
% 9.08/6.56 tff(21935,plain,
% 9.08/6.56 (~node4(s108)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10407, 22, 21934])).
% 9.08/6.56 tff(21936,plain,
% 9.08/6.56 (xuntil6(s108) | (~until5(s108))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10414, 36, 21935])).
% 9.08/6.56 tff(21937,plain,
% 9.08/6.56 (~until5(s108)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21936, 21933])).
% 9.08/6.56 tff(21938,plain,
% 9.08/6.56 (~xuntil6(s107)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10403, 21937])).
% 9.08/6.56 tff(21939,plain,
% 9.08/6.56 (~always3(s107)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8966, 21934])).
% 9.08/6.56 tff(21940,plain,
% 9.08/6.56 (~node4(s107)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10390, 22, 21939])).
% 9.08/6.56 tff(21941,plain,
% 9.08/6.56 (xuntil6(s107) | (~until5(s107))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10397, 36, 21940])).
% 9.08/6.56 tff(21942,plain,
% 9.08/6.56 (~until5(s107)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21941, 21938])).
% 9.08/6.56 tff(21943,plain,
% 9.08/6.56 (~xuntil6(s106)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10386, 21942])).
% 9.08/6.56 tff(21944,plain,
% 9.08/6.56 (~always3(s106)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8978, 21939])).
% 9.08/6.56 tff(21945,plain,
% 9.08/6.56 (~node4(s106)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10373, 22, 21944])).
% 9.08/6.56 tff(21946,plain,
% 9.08/6.56 (xuntil6(s106) | (~until5(s106))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10380, 36, 21945])).
% 9.08/6.56 tff(21947,plain,
% 9.08/6.56 (~until5(s106)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21946, 21943])).
% 9.08/6.56 tff(21948,plain,
% 9.08/6.56 (~xuntil6(s105)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10369, 21947])).
% 9.08/6.56 tff(21949,plain,
% 9.08/6.56 (~always3(s105)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[8990, 21944])).
% 9.08/6.56 tff(21950,plain,
% 9.08/6.56 (~node4(s105)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10356, 22, 21949])).
% 9.08/6.56 tff(21951,plain,
% 9.08/6.56 (xuntil6(s105) | (~until5(s105))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10363, 36, 21950])).
% 9.08/6.56 tff(21952,plain,
% 9.08/6.56 (~until5(s105)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21951, 21948])).
% 9.08/6.56 tff(21953,plain,
% 9.08/6.56 (~xuntil6(s104)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10352, 21952])).
% 9.08/6.56 tff(21954,plain,
% 9.08/6.56 (~always3(s104)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9002, 21949])).
% 9.08/6.56 tff(21955,plain,
% 9.08/6.56 (~node4(s104)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10339, 22, 21954])).
% 9.08/6.56 tff(21956,plain,
% 9.08/6.56 (xuntil6(s104) | (~until5(s104))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10346, 36, 21955])).
% 9.08/6.56 tff(21957,plain,
% 9.08/6.56 (~until5(s104)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21956, 21953])).
% 9.08/6.56 tff(21958,plain,
% 9.08/6.56 (~xuntil6(s103)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10335, 21957])).
% 9.08/6.56 tff(21959,plain,
% 9.08/6.56 (~always3(s103)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9014, 21954])).
% 9.08/6.56 tff(21960,plain,
% 9.08/6.56 (~node4(s103)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10322, 22, 21959])).
% 9.08/6.56 tff(21961,plain,
% 9.08/6.56 (xuntil6(s103) | (~until5(s103))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10329, 36, 21960])).
% 9.08/6.56 tff(21962,plain,
% 9.08/6.56 (~until5(s103)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21961, 21958])).
% 9.08/6.56 tff(21963,plain,
% 9.08/6.56 (~xuntil6(s102)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10318, 21962])).
% 9.08/6.56 tff(21964,plain,
% 9.08/6.56 (~always3(s102)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9026, 21959])).
% 9.08/6.56 tff(21965,plain,
% 9.08/6.56 (~node4(s102)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10305, 22, 21964])).
% 9.08/6.56 tff(21966,plain,
% 9.08/6.56 (xuntil6(s102) | (~until5(s102))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10312, 36, 21965])).
% 9.08/6.56 tff(21967,plain,
% 9.08/6.56 (~until5(s102)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21966, 21963])).
% 9.08/6.56 tff(21968,plain,
% 9.08/6.56 (~xuntil6(s101)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10301, 21967])).
% 9.08/6.56 tff(21969,plain,
% 9.08/6.56 (~always3(s101)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[9038, 21964])).
% 9.08/6.56 tff(21970,plain,
% 9.08/6.56 (~node4(s101)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10288, 22, 21969])).
% 9.08/6.56 tff(21971,plain,
% 9.08/6.56 (xuntil6(s101) | (~until5(s101))),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10295, 36, 21970])).
% 9.08/6.56 tff(21972,plain,
% 9.08/6.56 (~until5(s101)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[21971, 21968])).
% 9.08/6.56 tff(21973,plain,
% 9.08/6.56 (~xuntil6(s100)),
% 9.08/6.56 inference(unit_resolution,[status(thm)],[10284, 21972])).
% 9.08/6.56 tff(21974,plain,
% 9.08/6.56 (~always3(s100)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9050, 21969])).
% 9.08/6.57 tff(21975,plain,
% 9.08/6.57 (~node4(s100)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10271, 22, 21974])).
% 9.08/6.57 tff(21976,plain,
% 9.08/6.57 (xuntil6(s100) | (~until5(s100))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10278, 36, 21975])).
% 9.08/6.57 tff(21977,plain,
% 9.08/6.57 (~until5(s100)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[21976, 21973])).
% 9.08/6.57 tff(21978,plain,
% 9.08/6.57 (~xuntil6(s99)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10267, 21977])).
% 9.08/6.57 tff(21979,plain,
% 9.08/6.57 (~always3(s99)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9062, 21974])).
% 9.08/6.57 tff(21980,plain,
% 9.08/6.57 (~node4(s99)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10254, 22, 21979])).
% 9.08/6.57 tff(21981,plain,
% 9.08/6.57 (xuntil6(s99) | (~until5(s99))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10261, 36, 21980])).
% 9.08/6.57 tff(21982,plain,
% 9.08/6.57 (~until5(s99)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[21981, 21978])).
% 9.08/6.57 tff(21983,plain,
% 9.08/6.57 (~xuntil6(s98)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10250, 21982])).
% 9.08/6.57 tff(21984,plain,
% 9.08/6.57 (~always3(s98)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9074, 21979])).
% 9.08/6.57 tff(21985,plain,
% 9.08/6.57 (~node4(s98)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10237, 22, 21984])).
% 9.08/6.57 tff(21986,plain,
% 9.08/6.57 (xuntil6(s98) | (~until5(s98))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10244, 36, 21985])).
% 9.08/6.57 tff(21987,plain,
% 9.08/6.57 (~until5(s98)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[21986, 21983])).
% 9.08/6.57 tff(21988,plain,
% 9.08/6.57 (~xuntil6(s97)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10233, 21987])).
% 9.08/6.57 tff(21989,plain,
% 9.08/6.57 (~always3(s97)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9086, 21984])).
% 9.08/6.57 tff(21990,plain,
% 9.08/6.57 (~node4(s97)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10220, 22, 21989])).
% 9.08/6.57 tff(21991,plain,
% 9.08/6.57 (xuntil6(s97) | (~until5(s97))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10227, 36, 21990])).
% 9.08/6.57 tff(21992,plain,
% 9.08/6.57 (~until5(s97)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[21991, 21988])).
% 9.08/6.57 tff(21993,plain,
% 9.08/6.57 (~xuntil6(s96)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10216, 21992])).
% 9.08/6.57 tff(21994,plain,
% 9.08/6.57 (~always3(s96)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9098, 21989])).
% 9.08/6.57 tff(21995,plain,
% 9.08/6.57 (~node4(s96)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10203, 22, 21994])).
% 9.08/6.57 tff(21996,plain,
% 9.08/6.57 (xuntil6(s96) | (~until5(s96))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10210, 36, 21995])).
% 9.08/6.57 tff(21997,plain,
% 9.08/6.57 (~until5(s96)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[21996, 21993])).
% 9.08/6.57 tff(21998,plain,
% 9.08/6.57 (~xuntil6(s95)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10199, 21997])).
% 9.08/6.57 tff(21999,plain,
% 9.08/6.57 (~always3(s95)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9110, 21994])).
% 9.08/6.57 tff(22000,plain,
% 9.08/6.57 (~node4(s95)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10186, 22, 21999])).
% 9.08/6.57 tff(22001,plain,
% 9.08/6.57 (xuntil6(s95) | (~until5(s95))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10193, 36, 22000])).
% 9.08/6.57 tff(22002,plain,
% 9.08/6.57 (~until5(s95)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22001, 21998])).
% 9.08/6.57 tff(22003,plain,
% 9.08/6.57 (~xuntil6(s94)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10182, 22002])).
% 9.08/6.57 tff(22004,plain,
% 9.08/6.57 (~always3(s94)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9122, 21999])).
% 9.08/6.57 tff(22005,plain,
% 9.08/6.57 (~node4(s94)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10169, 22, 22004])).
% 9.08/6.57 tff(22006,plain,
% 9.08/6.57 (xuntil6(s94) | (~until5(s94))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10176, 36, 22005])).
% 9.08/6.57 tff(22007,plain,
% 9.08/6.57 (~until5(s94)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22006, 22003])).
% 9.08/6.57 tff(22008,plain,
% 9.08/6.57 (~xuntil6(s93)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10165, 22007])).
% 9.08/6.57 tff(22009,plain,
% 9.08/6.57 (~always3(s93)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9134, 22004])).
% 9.08/6.57 tff(22010,plain,
% 9.08/6.57 (~node4(s93)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10152, 22, 22009])).
% 9.08/6.57 tff(22011,plain,
% 9.08/6.57 (xuntil6(s93) | (~until5(s93))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10159, 36, 22010])).
% 9.08/6.57 tff(22012,plain,
% 9.08/6.57 (~until5(s93)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22011, 22008])).
% 9.08/6.57 tff(22013,plain,
% 9.08/6.57 (~xuntil6(s92)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10148, 22012])).
% 9.08/6.57 tff(22014,plain,
% 9.08/6.57 (~always3(s92)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9146, 22009])).
% 9.08/6.57 tff(22015,plain,
% 9.08/6.57 (~node4(s92)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10135, 22, 22014])).
% 9.08/6.57 tff(22016,plain,
% 9.08/6.57 (xuntil6(s92) | (~until5(s92))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10142, 36, 22015])).
% 9.08/6.57 tff(22017,plain,
% 9.08/6.57 (~until5(s92)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22016, 22013])).
% 9.08/6.57 tff(22018,plain,
% 9.08/6.57 (~xuntil6(s91)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10131, 22017])).
% 9.08/6.57 tff(22019,plain,
% 9.08/6.57 (~always3(s91)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9158, 22014])).
% 9.08/6.57 tff(22020,plain,
% 9.08/6.57 (~node4(s91)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10118, 22, 22019])).
% 9.08/6.57 tff(22021,plain,
% 9.08/6.57 (xuntil6(s91) | (~until5(s91))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10125, 36, 22020])).
% 9.08/6.57 tff(22022,plain,
% 9.08/6.57 (~until5(s91)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22021, 22018])).
% 9.08/6.57 tff(22023,plain,
% 9.08/6.57 (~xuntil6(s90)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10114, 22022])).
% 9.08/6.57 tff(22024,plain,
% 9.08/6.57 (~always3(s90)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9170, 22019])).
% 9.08/6.57 tff(22025,plain,
% 9.08/6.57 (~node4(s90)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10101, 22, 22024])).
% 9.08/6.57 tff(22026,plain,
% 9.08/6.57 (xuntil6(s90) | (~until5(s90))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10108, 36, 22025])).
% 9.08/6.57 tff(22027,plain,
% 9.08/6.57 (~until5(s90)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22026, 22023])).
% 9.08/6.57 tff(22028,plain,
% 9.08/6.57 (~xuntil6(s89)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10097, 22027])).
% 9.08/6.57 tff(22029,plain,
% 9.08/6.57 (~always3(s89)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9182, 22024])).
% 9.08/6.57 tff(22030,plain,
% 9.08/6.57 (~node4(s89)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10084, 22, 22029])).
% 9.08/6.57 tff(22031,plain,
% 9.08/6.57 (xuntil6(s89) | (~until5(s89))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10091, 36, 22030])).
% 9.08/6.57 tff(22032,plain,
% 9.08/6.57 (~until5(s89)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22031, 22028])).
% 9.08/6.57 tff(22033,plain,
% 9.08/6.57 (~xuntil6(s88)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10080, 22032])).
% 9.08/6.57 tff(22034,plain,
% 9.08/6.57 (~always3(s88)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9194, 22029])).
% 9.08/6.57 tff(22035,plain,
% 9.08/6.57 (~node4(s88)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10067, 22, 22034])).
% 9.08/6.57 tff(22036,plain,
% 9.08/6.57 (xuntil6(s88) | (~until5(s88))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10074, 36, 22035])).
% 9.08/6.57 tff(22037,plain,
% 9.08/6.57 (~until5(s88)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22036, 22033])).
% 9.08/6.57 tff(22038,plain,
% 9.08/6.57 (~xuntil6(s87)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10063, 22037])).
% 9.08/6.57 tff(22039,plain,
% 9.08/6.57 (~always3(s87)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9206, 22034])).
% 9.08/6.57 tff(22040,plain,
% 9.08/6.57 (~node4(s87)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10050, 22, 22039])).
% 9.08/6.57 tff(22041,plain,
% 9.08/6.57 (xuntil6(s87) | (~until5(s87))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10057, 36, 22040])).
% 9.08/6.57 tff(22042,plain,
% 9.08/6.57 (~until5(s87)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22041, 22038])).
% 9.08/6.57 tff(22043,plain,
% 9.08/6.57 (~xuntil6(s86)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10046, 22042])).
% 9.08/6.57 tff(22044,plain,
% 9.08/6.57 (~always3(s86)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9218, 22039])).
% 9.08/6.57 tff(22045,plain,
% 9.08/6.57 (~node4(s86)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10033, 22, 22044])).
% 9.08/6.57 tff(22046,plain,
% 9.08/6.57 (xuntil6(s86) | (~until5(s86))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10040, 36, 22045])).
% 9.08/6.57 tff(22047,plain,
% 9.08/6.57 (~until5(s86)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22046, 22043])).
% 9.08/6.57 tff(22048,plain,
% 9.08/6.57 (~xuntil6(s85)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10029, 22047])).
% 9.08/6.57 tff(22049,plain,
% 9.08/6.57 (~always3(s85)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9230, 22044])).
% 9.08/6.57 tff(22050,plain,
% 9.08/6.57 (~node4(s85)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10016, 22, 22049])).
% 9.08/6.57 tff(22051,plain,
% 9.08/6.57 (xuntil6(s85) | (~until5(s85))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10023, 36, 22050])).
% 9.08/6.57 tff(22052,plain,
% 9.08/6.57 (~until5(s85)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22051, 22048])).
% 9.08/6.57 tff(22053,plain,
% 9.08/6.57 (~always3(s84)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9242, 22049])).
% 9.08/6.57 tff(22054,plain,
% 9.08/6.57 (~always3(s83)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9254, 22053])).
% 9.08/6.57 tff(22055,plain,
% 9.08/6.57 (~always3(s82)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9266, 22054])).
% 9.08/6.57 tff(22056,plain,
% 9.08/6.57 (~always3(s81)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9278, 22055])).
% 9.08/6.57 tff(22057,plain,
% 9.08/6.57 (~always3(s80)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9290, 22056])).
% 9.08/6.57 tff(22058,plain,
% 9.08/6.57 (~always3(s79)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9302, 22057])).
% 9.08/6.57 tff(22059,plain,
% 9.08/6.57 (~always3(s78)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9314, 22058])).
% 9.08/6.57 tff(22060,plain,
% 9.08/6.57 (~always3(s77)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9326, 22059])).
% 9.08/6.57 tff(22061,plain,
% 9.08/6.57 (~always3(s76)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9338, 22060])).
% 9.08/6.57 tff(22062,plain,
% 9.08/6.57 (~always3(s75)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9350, 22061])).
% 9.08/6.57 tff(22063,plain,
% 9.08/6.57 (~always3(s74)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9362, 22062])).
% 9.08/6.57 tff(22064,plain,
% 9.08/6.57 (~always3(s73)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9374, 22063])).
% 9.08/6.57 tff(22065,plain,
% 9.08/6.57 (~always3(s72)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9386, 22064])).
% 9.08/6.57 tff(22066,plain,
% 9.08/6.57 (~always3(s71)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9398, 22065])).
% 9.08/6.57 tff(22067,plain,
% 9.08/6.57 (~always3(s70)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9410, 22066])).
% 9.08/6.57 tff(22068,plain,
% 9.08/6.57 (~always3(s69)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9422, 22067])).
% 9.08/6.57 tff(22069,plain,
% 9.08/6.57 (~always3(s68)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9434, 22068])).
% 9.08/6.57 tff(22070,plain,
% 9.08/6.57 (~always3(s67)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9446, 22069])).
% 9.08/6.57 tff(22071,plain,
% 9.08/6.57 (~always3(s66)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9458, 22070])).
% 9.08/6.57 tff(22072,plain,
% 9.08/6.57 (~always3(s65)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9470, 22071])).
% 9.08/6.57 tff(22073,plain,
% 9.08/6.57 (~always3(s64)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9482, 22072])).
% 9.08/6.57 tff(22074,plain,
% 9.08/6.57 (~always3(s63)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9494, 22073])).
% 9.08/6.57 tff(22075,plain,
% 9.08/6.57 (~always3(s62)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9506, 22074])).
% 9.08/6.57 tff(22076,plain,
% 9.08/6.57 (~always3(s61)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9518, 22075])).
% 9.08/6.57 tff(22077,plain,
% 9.08/6.57 (~always3(s60)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9530, 22076])).
% 9.08/6.57 tff(22078,plain,
% 9.08/6.57 (~always3(s59)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9542, 22077])).
% 9.08/6.57 tff(22079,plain,
% 9.08/6.57 (~always3(s58)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9558, 22078])).
% 9.08/6.57 tff(22080,plain,
% 9.08/6.57 (~always3(s57)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[5004, 22079])).
% 9.08/6.57 tff(22081,plain,
% 9.08/6.57 (~always3(s56)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[4870, 22080])).
% 9.08/6.57 tff(22082,plain,
% 9.08/6.57 (~always3(s55)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[4750, 22081])).
% 9.08/6.57 tff(22083,plain,
% 9.08/6.57 (~always3(s54)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[4602, 22082])).
% 9.08/6.57 tff(22084,plain,
% 9.08/6.57 (~always3(s53)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[4647, 22083])).
% 9.08/6.57 tff(22085,plain,
% 9.08/6.57 (~always3(s52)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[4521, 22084])).
% 9.08/6.57 tff(22086,plain,
% 9.08/6.57 (~always3(s51)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[4412, 22085])).
% 9.08/6.57 tff(22087,plain,
% 9.08/6.57 (~always3(s50)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[4363, 22086])).
% 9.08/6.57 tff(22088,plain,
% 9.08/6.57 (~always3(s49)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3944, 22087])).
% 9.08/6.57 tff(22089,plain,
% 9.08/6.57 (~always3(s48)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3754, 22088])).
% 9.08/6.57 tff(22090,plain,
% 9.08/6.57 (~always3(s47)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3799, 22089])).
% 9.08/6.57 tff(22091,plain,
% 9.08/6.57 (~always3(s46)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3828, 22090])).
% 9.08/6.57 tff(22092,plain,
% 9.08/6.57 (~always3(s45)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3857, 22091])).
% 9.08/6.57 tff(22093,plain,
% 9.08/6.57 (~always3(s44)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3886, 22092])).
% 9.08/6.57 tff(22094,plain,
% 9.08/6.57 (~always3(s43)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3705, 22093])).
% 9.08/6.57 tff(22095,plain,
% 9.08/6.57 (~always3(s42)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3618, 22094])).
% 9.08/6.57 tff(22096,plain,
% 9.08/6.57 (~always3(s41)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3559, 22095])).
% 9.08/6.57 tff(22097,plain,
% 9.08/6.57 (~always3(s40)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3474, 22096])).
% 9.08/6.57 tff(22098,plain,
% 9.08/6.57 (~always3(s39)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3424, 22097])).
% 9.08/6.57 tff(22099,plain,
% 9.08/6.57 (~node4(s39)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3428, 22, 22098])).
% 9.08/6.57 tff(22100,plain,
% 9.08/6.57 (~always3(s38)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3233, 22098])).
% 9.08/6.57 tff(22101,plain,
% 9.08/6.57 (~node4(s38)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3219, 22, 22100])).
% 9.08/6.57 tff(22102,plain,
% 9.08/6.57 (~always3(s37)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[2932, 22100])).
% 9.08/6.57 tff(22103,plain,
% 9.08/6.57 (xuntil6(s37)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3202, 22102])).
% 9.08/6.57 tff(22104,plain,
% 9.08/6.57 (until5(s38)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3207, 22103])).
% 9.08/6.57 tff(22105,plain,
% 9.08/6.57 (xuntil6(s38) | node4(s38)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3214, 36, 22104])).
% 9.08/6.57 tff(22106,plain,
% 9.08/6.57 (xuntil6(s38)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22105, 22101])).
% 9.08/6.57 tff(22107,plain,
% 9.08/6.57 (until5(s39)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3410, 22106])).
% 9.08/6.57 tff(22108,plain,
% 9.08/6.57 (xuntil6(s39)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3460, 36, 22107, 22099])).
% 9.08/6.57 tff(22109,plain,
% 9.08/6.57 (until5(s40)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3445, 22108])).
% 9.08/6.57 tff(22110,plain,
% 9.08/6.57 (~node4(s40)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3432, 22, 22097])).
% 9.08/6.57 tff(22111,plain,
% 9.08/6.57 (xuntil6(s40) | (~until5(s40))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3439, 36, 22110])).
% 9.08/6.57 tff(22112,plain,
% 9.08/6.57 (xuntil6(s40)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22111, 22109])).
% 9.08/6.57 tff(22113,plain,
% 9.08/6.57 (until5(s41)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3545, 22112])).
% 9.08/6.57 tff(22114,plain,
% 9.08/6.57 (~node4(s41)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3563, 22, 22096])).
% 9.08/6.57 tff(22115,plain,
% 9.08/6.57 (xuntil6(s41) | (~until5(s41))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3587, 36, 22114])).
% 9.08/6.57 tff(22116,plain,
% 9.08/6.57 (xuntil6(s41)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22115, 22113])).
% 9.08/6.57 tff(22117,plain,
% 9.08/6.57 (until5(s42)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3580, 22116])).
% 9.08/6.57 tff(22118,plain,
% 9.08/6.57 (~node4(s42)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3567, 22, 22095])).
% 9.08/6.57 tff(22119,plain,
% 9.08/6.57 (xuntil6(s42) | (~until5(s42))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3574, 36, 22118])).
% 9.08/6.57 tff(22120,plain,
% 9.08/6.57 (xuntil6(s42)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22119, 22117])).
% 9.08/6.57 tff(22121,plain,
% 9.08/6.57 (until5(s43)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3684, 22120])).
% 9.08/6.57 tff(22122,plain,
% 9.08/6.57 (~node4(s43)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3693, 22, 22094])).
% 9.08/6.57 tff(22123,plain,
% 9.08/6.57 (xuntil6(s43) | (~until5(s43))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3734, 36, 22122])).
% 9.08/6.57 tff(22124,plain,
% 9.08/6.57 (xuntil6(s43)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22123, 22121])).
% 9.08/6.57 tff(22125,plain,
% 9.08/6.57 (until5(s44)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3740, 22124])).
% 9.08/6.57 tff(22126,plain,
% 9.08/6.57 (~node4(s44)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3890, 22, 22093])).
% 9.08/6.57 tff(22127,plain,
% 9.08/6.57 (xuntil6(s44) | (~until5(s44))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3897, 36, 22126])).
% 9.08/6.57 tff(22128,plain,
% 9.08/6.57 (xuntil6(s44)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22127, 22125])).
% 9.08/6.57 tff(22129,plain,
% 9.08/6.57 (until5(s45)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[3877, 22128])).
% 9.08/6.57 tff(22130,plain,
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% 9.08/6.57 inference(unit_resolution,[status(thm)],[9846, 22, 22062])).
% 9.08/6.57 tff(22251,plain,
% 9.08/6.57 (xuntil6(s75) | (~until5(s75))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9853, 36, 22250])).
% 9.08/6.57 tff(22252,plain,
% 9.08/6.57 (xuntil6(s75)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22251, 22249])).
% 9.08/6.57 tff(22253,plain,
% 9.08/6.57 (until5(s76)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9859, 22252])).
% 9.08/6.57 tff(22254,plain,
% 9.08/6.57 (~node4(s76)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9863, 22, 22061])).
% 9.08/6.57 tff(22255,plain,
% 9.08/6.57 (xuntil6(s76) | (~until5(s76))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9870, 36, 22254])).
% 9.08/6.57 tff(22256,plain,
% 9.08/6.57 (xuntil6(s76)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22255, 22253])).
% 9.08/6.57 tff(22257,plain,
% 9.08/6.57 (until5(s77)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9876, 22256])).
% 9.08/6.57 tff(22258,plain,
% 9.08/6.57 (~node4(s77)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9880, 22, 22060])).
% 9.08/6.57 tff(22259,plain,
% 9.08/6.57 (xuntil6(s77) | (~until5(s77))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9887, 36, 22258])).
% 9.08/6.57 tff(22260,plain,
% 9.08/6.57 (xuntil6(s77)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22259, 22257])).
% 9.08/6.57 tff(22261,plain,
% 9.08/6.57 (until5(s78)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9893, 22260])).
% 9.08/6.57 tff(22262,plain,
% 9.08/6.57 (~node4(s78)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9897, 22, 22059])).
% 9.08/6.57 tff(22263,plain,
% 9.08/6.57 (xuntil6(s78) | (~until5(s78))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9904, 36, 22262])).
% 9.08/6.57 tff(22264,plain,
% 9.08/6.57 (xuntil6(s78)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22263, 22261])).
% 9.08/6.57 tff(22265,plain,
% 9.08/6.57 (until5(s79)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9910, 22264])).
% 9.08/6.57 tff(22266,plain,
% 9.08/6.57 (~node4(s79)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9914, 22, 22058])).
% 9.08/6.57 tff(22267,plain,
% 9.08/6.57 (xuntil6(s79) | (~until5(s79))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9921, 36, 22266])).
% 9.08/6.57 tff(22268,plain,
% 9.08/6.57 (xuntil6(s79)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22267, 22265])).
% 9.08/6.57 tff(22269,plain,
% 9.08/6.57 (until5(s80)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9927, 22268])).
% 9.08/6.57 tff(22270,plain,
% 9.08/6.57 (~node4(s80)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9931, 22, 22057])).
% 9.08/6.57 tff(22271,plain,
% 9.08/6.57 (xuntil6(s80) | (~until5(s80))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9938, 36, 22270])).
% 9.08/6.57 tff(22272,plain,
% 9.08/6.57 (xuntil6(s80)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22271, 22269])).
% 9.08/6.57 tff(22273,plain,
% 9.08/6.57 (until5(s81)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9944, 22272])).
% 9.08/6.57 tff(22274,plain,
% 9.08/6.57 (~node4(s81)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9948, 22, 22056])).
% 9.08/6.57 tff(22275,plain,
% 9.08/6.57 (xuntil6(s81) | (~until5(s81))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9955, 36, 22274])).
% 9.08/6.57 tff(22276,plain,
% 9.08/6.57 (xuntil6(s81)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22275, 22273])).
% 9.08/6.57 tff(22277,plain,
% 9.08/6.57 (until5(s82)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9961, 22276])).
% 9.08/6.57 tff(22278,plain,
% 9.08/6.57 (~node4(s82)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9965, 22, 22055])).
% 9.08/6.57 tff(22279,plain,
% 9.08/6.57 (xuntil6(s82) | (~until5(s82))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9972, 36, 22278])).
% 9.08/6.57 tff(22280,plain,
% 9.08/6.57 (xuntil6(s82)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22279, 22277])).
% 9.08/6.57 tff(22281,plain,
% 9.08/6.57 (until5(s83)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9978, 22280])).
% 9.08/6.57 tff(22282,plain,
% 9.08/6.57 (~node4(s83)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9982, 22, 22054])).
% 9.08/6.57 tff(22283,plain,
% 9.08/6.57 (xuntil6(s83) | (~until5(s83))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9989, 36, 22282])).
% 9.08/6.57 tff(22284,plain,
% 9.08/6.57 (xuntil6(s83)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22283, 22281])).
% 9.08/6.57 tff(22285,plain,
% 9.08/6.57 (until5(s84)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9995, 22284])).
% 9.08/6.57 tff(22286,plain,
% 9.08/6.57 (~node4(s84)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[9999, 22, 22053])).
% 9.08/6.57 tff(22287,plain,
% 9.08/6.57 (xuntil6(s84) | (~until5(s84))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10006, 36, 22286])).
% 9.08/6.57 tff(22288,plain,
% 9.08/6.57 (xuntil6(s84)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22287, 22285])).
% 9.08/6.57 tff(22289,plain,
% 9.08/6.57 ($false),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10012, 22288, 22052])).
% 9.08/6.57 tff(22290,plain,(always3(s131) | xuntil6(s131)), inference(lemma,lemma(discharge,[]))).
% 9.08/6.57 tff(22291,plain,
% 9.08/6.57 (always3(s131)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22290, 21819])).
% 9.08/6.57 tff(22292,plain,
% 9.08/6.57 (always3(s132)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8678, 22291])).
% 9.08/6.57 tff(22293,plain,
% 9.08/6.57 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s132)) | (~m_main_v_state(s132, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s132)) | (~m_main_v_state(s132, c_busy)))),
% 9.08/6.57 inference(rewrite,[status(thm)],[])).
% 9.08/6.57 tff(22294,plain,
% 9.08/6.57 (((~m_main_v_state(s132, c_busy)) | (~always3(s132))) <=> ((~always3(s132)) | (~m_main_v_state(s132, c_busy)))),
% 9.08/6.57 inference(rewrite,[status(thm)],[])).
% 9.08/6.57 tff(22295,plain,
% 9.08/6.57 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s132, c_busy)) | (~always3(s132)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s132)) | (~m_main_v_state(s132, c_busy))))),
% 9.08/6.57 inference(monotonicity,[status(thm)],[22294])).
% 9.08/6.57 tff(22296,plain,
% 9.08/6.57 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s132, c_busy)) | (~always3(s132)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s132)) | (~m_main_v_state(s132, c_busy)))),
% 9.08/6.57 inference(transitivity,[status(thm)],[22295, 22293])).
% 9.08/6.57 tff(22297,plain,
% 9.08/6.57 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s132, c_busy)) | (~always3(s132)))),
% 9.08/6.57 inference(quant_inst,[status(thm)],[])).
% 9.08/6.57 tff(22298,plain,
% 9.08/6.57 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s132)) | (~m_main_v_state(s132, c_busy))),
% 9.08/6.57 inference(modus_ponens,[status(thm)],[22297, 22296])).
% 9.08/6.57 tff(22299,plain,
% 9.08/6.57 (~m_main_v_state(s132, c_busy)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22298, 170, 22292])).
% 9.08/6.57 tff(22300,plain,
% 9.08/6.57 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s131)) | (~m_main_v_state(s131, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s131)) | (~m_main_v_state(s131, c_busy)))),
% 9.08/6.57 inference(rewrite,[status(thm)],[])).
% 9.08/6.57 tff(22301,plain,
% 9.08/6.57 (((~m_main_v_state(s131, c_busy)) | (~always3(s131))) <=> ((~always3(s131)) | (~m_main_v_state(s131, c_busy)))),
% 9.08/6.57 inference(rewrite,[status(thm)],[])).
% 9.08/6.57 tff(22302,plain,
% 9.08/6.57 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s131, c_busy)) | (~always3(s131)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s131)) | (~m_main_v_state(s131, c_busy))))),
% 9.08/6.57 inference(monotonicity,[status(thm)],[22301])).
% 9.08/6.57 tff(22303,plain,
% 9.08/6.57 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s131, c_busy)) | (~always3(s131)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s131)) | (~m_main_v_state(s131, c_busy)))),
% 9.08/6.57 inference(transitivity,[status(thm)],[22302, 22300])).
% 9.08/6.57 tff(22304,plain,
% 9.08/6.57 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s131, c_busy)) | (~always3(s131)))),
% 9.08/6.57 inference(quant_inst,[status(thm)],[])).
% 9.08/6.57 tff(22305,plain,
% 9.08/6.57 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s131)) | (~m_main_v_state(s131, c_busy))),
% 9.08/6.57 inference(modus_ponens,[status(thm)],[22304, 22303])).
% 9.08/6.57 tff(22306,plain,
% 9.08/6.57 (~m_main_v_state(s131, c_busy)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22305, 170, 22291])).
% 9.08/6.57 tff(22307,plain,
% 9.08/6.57 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s131, c_busy) | m_main_v_state(s131, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s131, c_busy) | m_main_v_state(s131, c_ready))),
% 9.08/6.57 inference(rewrite,[status(thm)],[])).
% 9.08/6.57 tff(22308,plain,
% 9.08/6.57 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s131, c_busy) | m_main_v_state(s131, c_ready))),
% 9.08/6.57 inference(quant_inst,[status(thm)],[])).
% 9.08/6.57 tff(22309,plain,
% 9.08/6.57 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s131, c_busy) | m_main_v_state(s131, c_ready)),
% 9.08/6.57 inference(modus_ponens,[status(thm)],[22308, 22307])).
% 9.08/6.57 tff(22310,plain,
% 9.08/6.57 (m_main_v_state(s131, c_ready)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22309, 213, 22306])).
% 9.08/6.57 tff(22311,assumption,(~m_main_v_state(s131, c_busy)), introduced(assumption)).
% 9.08/6.57 tff(22312,assumption,(node4(s130)), introduced(assumption)).
% 9.08/6.57 tff(22313,plain,
% 9.08/6.57 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s130) | (~node4(s130)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s130) | (~node4(s130)))),
% 9.08/6.57 inference(rewrite,[status(thm)],[])).
% 9.08/6.57 tff(22314,plain,
% 9.08/6.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s130) | (~node4(s130)))),
% 9.08/6.57 inference(quant_inst,[status(thm)],[])).
% 9.08/6.57 tff(22315,plain,
% 9.08/6.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s130) | (~node4(s130))),
% 9.08/6.57 inference(modus_ponens,[status(thm)],[22314, 22313])).
% 9.08/6.57 tff(22316,plain,
% 9.08/6.57 (m_main_v_request(s130)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22315, 154, 22312])).
% 9.08/6.57 tff(22317,plain,
% 9.08/6.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s130, s131)) | node2(s130, s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s130, s131)) | node2(s130, s131))),
% 9.08/6.57 inference(rewrite,[status(thm)],[])).
% 9.08/6.57 tff(22318,plain,
% 9.08/6.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s130, s131)) | node2(s130, s131))),
% 9.08/6.57 inference(quant_inst,[status(thm)],[])).
% 9.08/6.57 tff(22319,plain,
% 9.08/6.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s130, s131)) | node2(s130, s131)),
% 9.08/6.57 inference(modus_ponens,[status(thm)],[22318, 22317])).
% 9.08/6.57 tff(22320,plain,
% 9.08/6.57 (node2(s130, s131)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22319, 7, 8686])).
% 9.08/6.57 tff(22321,plain,
% 9.08/6.57 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s130, c_ready)) | (~node2(s130, s131)) | m_main_v_state(s131, c_busy) | (~m_main_v_request(s130)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s130, c_ready)) | (~node2(s130, s131)) | m_main_v_state(s131, c_busy) | (~m_main_v_request(s130)))),
% 9.08/6.57 inference(rewrite,[status(thm)],[])).
% 9.08/6.57 tff(22322,plain,
% 9.08/6.57 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s130, c_ready)) | (~node2(s130, s131)) | m_main_v_state(s131, c_busy) | (~m_main_v_request(s130)))),
% 9.08/6.57 inference(quant_inst,[status(thm)],[])).
% 9.08/6.57 tff(22323,plain,
% 9.08/6.57 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s130, c_ready)) | (~node2(s130, s131)) | m_main_v_state(s131, c_busy) | (~m_main_v_request(s130))),
% 9.08/6.57 inference(modus_ponens,[status(thm)],[22322, 22321])).
% 9.08/6.57 tff(22324,plain,
% 9.08/6.57 ((~m_main_v_state(s130, c_ready)) | m_main_v_state(s131, c_busy) | (~m_main_v_request(s130))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22323, 191, 22320])).
% 9.08/6.57 tff(22325,plain,
% 9.08/6.57 (~m_main_v_state(s130, c_ready)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22324, 22316, 22311])).
% 9.08/6.57 tff(22326,plain,
% 9.08/6.57 (always3(s130)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10781, 22, 22312])).
% 9.08/6.57 tff(22327,plain,
% 9.08/6.57 (~m_main_v_state(s130, c_busy)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[21781, 170, 22326])).
% 9.08/6.57 tff(22328,plain,
% 9.08/6.57 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s130, c_busy) | m_main_v_state(s130, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s130, c_busy) | m_main_v_state(s130, c_ready))),
% 9.08/6.57 inference(rewrite,[status(thm)],[])).
% 9.08/6.57 tff(22329,plain,
% 9.08/6.57 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s130, c_busy) | m_main_v_state(s130, c_ready))),
% 9.08/6.57 inference(quant_inst,[status(thm)],[])).
% 9.08/6.57 tff(22330,plain,
% 9.08/6.57 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s130, c_busy) | m_main_v_state(s130, c_ready)),
% 9.08/6.57 inference(modus_ponens,[status(thm)],[22329, 22328])).
% 9.08/6.57 tff(22331,plain,
% 9.08/6.57 ($false),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22330, 213, 22327, 22325])).
% 9.08/6.57 tff(22332,plain,((~node4(s130)) | m_main_v_state(s131, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.08/6.57 tff(22333,plain,
% 9.08/6.57 (~node4(s130)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22332, 22306])).
% 9.08/6.57 tff(22334,assumption,(until5(s130)), introduced(assumption)).
% 9.08/6.57 tff(22335,plain,
% 9.08/6.57 (xuntil6(s130) | node4(s130)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10788, 36, 22334])).
% 9.08/6.57 tff(22336,plain,
% 9.08/6.57 (xuntil6(s130)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22335, 22333])).
% 9.08/6.57 tff(22337,plain,
% 9.08/6.57 (until5(s131)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10794, 22336])).
% 9.08/6.57 tff(22338,plain,
% 9.08/6.57 (node4(s131)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[21824, 22337])).
% 9.08/6.57 tff(22339,plain,
% 9.08/6.57 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s131) | (~node4(s131)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s131) | (~node4(s131)))),
% 9.08/6.57 inference(rewrite,[status(thm)],[])).
% 9.08/6.57 tff(22340,plain,
% 9.08/6.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s131) | (~node4(s131)))),
% 9.08/6.57 inference(quant_inst,[status(thm)],[])).
% 9.08/6.57 tff(22341,plain,
% 9.08/6.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s131) | (~node4(s131))),
% 9.08/6.57 inference(modus_ponens,[status(thm)],[22340, 22339])).
% 9.08/6.57 tff(22342,plain,
% 9.08/6.57 (m_main_v_request(s131)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22341, 154, 22338])).
% 9.08/6.57 tff(22343,plain,
% 9.08/6.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s131, s132)) | node2(s131, s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s131, s132)) | node2(s131, s132))),
% 9.08/6.57 inference(rewrite,[status(thm)],[])).
% 9.08/6.57 tff(22344,plain,
% 9.08/6.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s131, s132)) | node2(s131, s132))),
% 9.08/6.57 inference(quant_inst,[status(thm)],[])).
% 9.08/6.57 tff(22345,plain,
% 9.08/6.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s131, s132)) | node2(s131, s132)),
% 9.08/6.57 inference(modus_ponens,[status(thm)],[22344, 22343])).
% 9.08/6.57 tff(22346,plain,
% 9.08/6.57 (node2(s131, s132)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22345, 7, 8674])).
% 9.08/6.57 tff(22347,plain,
% 9.08/6.57 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s131, c_ready)) | (~node2(s131, s132)) | m_main_v_state(s132, c_busy) | (~m_main_v_request(s131)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s131, c_ready)) | (~node2(s131, s132)) | m_main_v_state(s132, c_busy) | (~m_main_v_request(s131)))),
% 9.08/6.57 inference(rewrite,[status(thm)],[])).
% 9.08/6.57 tff(22348,plain,
% 9.08/6.57 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s131, c_ready)) | (~node2(s131, s132)) | m_main_v_state(s132, c_busy) | (~m_main_v_request(s131)))),
% 9.08/6.57 inference(quant_inst,[status(thm)],[])).
% 9.08/6.57 tff(22349,plain,
% 9.08/6.57 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s131, c_ready)) | (~node2(s131, s132)) | m_main_v_state(s132, c_busy) | (~m_main_v_request(s131))),
% 9.08/6.57 inference(modus_ponens,[status(thm)],[22348, 22347])).
% 9.08/6.57 tff(22350,plain,
% 9.08/6.57 ((~m_main_v_state(s131, c_ready)) | m_main_v_state(s132, c_busy) | (~m_main_v_request(s131))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22349, 191, 22346])).
% 9.08/6.57 tff(22351,plain,
% 9.08/6.57 ($false),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22350, 22342, 22310, 22299])).
% 9.08/6.57 tff(22352,plain,(xuntil6(s131) | (~until5(s130))), inference(lemma,lemma(discharge,[]))).
% 9.08/6.57 tff(22353,plain,
% 9.08/6.57 (xuntil6(s131)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22352, 21818])).
% 9.08/6.57 tff(22354,plain,
% 9.08/6.57 (until5(s132)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10811, 22353])).
% 9.08/6.57 tff(22355,assumption,(until5(s132)), introduced(assumption)).
% 9.08/6.57 tff(22356,assumption,(~xuntil6(s144)), introduced(assumption)).
% 9.08/6.57 tff(22357,assumption,(~always3(s144)), introduced(assumption)).
% 9.08/6.57 tff(22358,plain,
% 9.08/6.57 (~always3(s143)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8420, 22357])).
% 9.08/6.57 tff(22359,plain,
% 9.08/6.57 (~node4(s143)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8424, 22, 22358])).
% 9.08/6.57 tff(22360,plain,
% 9.08/6.57 (~node4(s144)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8395, 22, 22357])).
% 9.08/6.57 tff(22361,plain,
% 9.08/6.57 (node4(s144) | (~until5(s144))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8402, 36, 22356])).
% 9.08/6.57 tff(22362,plain,
% 9.08/6.57 (~until5(s144)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22361, 22360])).
% 9.08/6.57 tff(22363,plain,
% 9.08/6.57 (~xuntil6(s143)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8411, 22362])).
% 9.08/6.57 tff(22364,plain,
% 9.08/6.57 (~until5(s143)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8431, 36, 22363, 22359])).
% 9.08/6.57 tff(22365,plain,
% 9.08/6.57 (~xuntil6(s142)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8440, 22364])).
% 9.08/6.57 tff(22366,plain,
% 9.08/6.57 (~always3(s142)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8449, 22358])).
% 9.08/6.57 tff(22367,plain,
% 9.08/6.57 (~node4(s142)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8453, 22, 22366])).
% 9.08/6.57 tff(22368,plain,
% 9.08/6.57 (xuntil6(s142) | (~until5(s142))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8460, 36, 22367])).
% 9.08/6.57 tff(22369,plain,
% 9.08/6.57 (~until5(s142)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22368, 22365])).
% 9.08/6.57 tff(22370,plain,
% 9.08/6.57 (~xuntil6(s141)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8469, 22369])).
% 9.08/6.57 tff(22371,plain,
% 9.08/6.57 (~always3(s141)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8478, 22366])).
% 9.08/6.57 tff(22372,plain,
% 9.08/6.57 (~node4(s141)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8482, 22, 22371])).
% 9.08/6.57 tff(22373,plain,
% 9.08/6.57 (xuntil6(s141) | (~until5(s141))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8489, 36, 22372])).
% 9.08/6.57 tff(22374,plain,
% 9.08/6.57 (~until5(s141)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22373, 22370])).
% 9.08/6.57 tff(22375,plain,
% 9.08/6.57 (~xuntil6(s140)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8498, 22374])).
% 9.08/6.57 tff(22376,plain,
% 9.08/6.57 (~always3(s140)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8507, 22371])).
% 9.08/6.57 tff(22377,plain,
% 9.08/6.57 (~node4(s140)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8511, 22, 22376])).
% 9.08/6.57 tff(22378,plain,
% 9.08/6.57 (xuntil6(s140) | (~until5(s140))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8518, 36, 22377])).
% 9.08/6.57 tff(22379,plain,
% 9.08/6.57 (~until5(s140)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22378, 22375])).
% 9.08/6.57 tff(22380,plain,
% 9.08/6.57 (~xuntil6(s139)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8527, 22379])).
% 9.08/6.57 tff(22381,plain,
% 9.08/6.57 (~always3(s139)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8536, 22376])).
% 9.08/6.57 tff(22382,plain,
% 9.08/6.57 (~node4(s139)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8540, 22, 22381])).
% 9.08/6.57 tff(22383,plain,
% 9.08/6.57 (xuntil6(s139) | (~until5(s139))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8547, 36, 22382])).
% 9.08/6.57 tff(22384,plain,
% 9.08/6.57 (~until5(s139)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22383, 22380])).
% 9.08/6.57 tff(22385,plain,
% 9.08/6.57 (~xuntil6(s138)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8556, 22384])).
% 9.08/6.57 tff(22386,plain,
% 9.08/6.57 (~always3(s138)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8565, 22381])).
% 9.08/6.57 tff(22387,plain,
% 9.08/6.57 (~node4(s138)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8569, 22, 22386])).
% 9.08/6.57 tff(22388,plain,
% 9.08/6.57 (xuntil6(s138) | (~until5(s138))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8576, 36, 22387])).
% 9.08/6.57 tff(22389,plain,
% 9.08/6.57 (~until5(s138)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22388, 22385])).
% 9.08/6.57 tff(22390,plain,
% 9.08/6.57 (~xuntil6(s137)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8585, 22389])).
% 9.08/6.57 tff(22391,plain,
% 9.08/6.57 (~always3(s137)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8594, 22386])).
% 9.08/6.57 tff(22392,plain,
% 9.08/6.57 (~node4(s137)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8598, 22, 22391])).
% 9.08/6.57 tff(22393,plain,
% 9.08/6.57 (xuntil6(s137) | (~until5(s137))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8605, 36, 22392])).
% 9.08/6.57 tff(22394,plain,
% 9.08/6.57 (~until5(s137)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22393, 22390])).
% 9.08/6.57 tff(22395,plain,
% 9.08/6.57 (~xuntil6(s136)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10896, 22394])).
% 9.08/6.57 tff(22396,plain,
% 9.08/6.57 (~always3(s136)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8618, 22391])).
% 9.08/6.57 tff(22397,plain,
% 9.08/6.57 (~node4(s136)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10883, 22, 22396])).
% 9.08/6.57 tff(22398,plain,
% 9.08/6.57 (xuntil6(s136) | (~until5(s136))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10890, 36, 22397])).
% 9.08/6.57 tff(22399,plain,
% 9.08/6.57 (~until5(s136)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22398, 22395])).
% 9.08/6.57 tff(22400,plain,
% 9.08/6.57 (~xuntil6(s135)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10879, 22399])).
% 9.08/6.57 tff(22401,plain,
% 9.08/6.57 (~always3(s135)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8630, 22396])).
% 9.08/6.57 tff(22402,plain,
% 9.08/6.57 (~node4(s135)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10866, 22, 22401])).
% 9.08/6.57 tff(22403,plain,
% 9.08/6.57 (xuntil6(s135) | (~until5(s135))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10873, 36, 22402])).
% 9.08/6.57 tff(22404,plain,
% 9.08/6.57 (~until5(s135)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22403, 22400])).
% 9.08/6.57 tff(22405,plain,
% 9.08/6.57 (~xuntil6(s134)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10862, 22404])).
% 9.08/6.57 tff(22406,plain,
% 9.08/6.57 (~always3(s134)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8642, 22401])).
% 9.08/6.57 tff(22407,plain,
% 9.08/6.57 (~node4(s134)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10849, 22, 22406])).
% 9.08/6.57 tff(22408,plain,
% 9.08/6.57 (xuntil6(s134) | (~until5(s134))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10856, 36, 22407])).
% 9.08/6.57 tff(22409,plain,
% 9.08/6.57 (~until5(s134)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22408, 22405])).
% 9.08/6.57 tff(22410,plain,
% 9.08/6.57 (~xuntil6(s133)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10845, 22409])).
% 9.08/6.57 tff(22411,plain,
% 9.08/6.57 (~always3(s133)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8654, 22406])).
% 9.08/6.57 tff(22412,plain,
% 9.08/6.57 (~node4(s133)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10832, 22, 22411])).
% 9.08/6.57 tff(22413,plain,
% 9.08/6.57 (xuntil6(s133) | (~until5(s133))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10839, 36, 22412])).
% 9.08/6.57 tff(22414,plain,
% 9.08/6.57 (~until5(s133)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22413, 22410])).
% 9.08/6.57 tff(22415,plain,
% 9.08/6.57 (~xuntil6(s132)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10828, 22414])).
% 9.08/6.57 tff(22416,plain,
% 9.08/6.57 (~always3(s132)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8666, 22411])).
% 9.08/6.57 tff(22417,plain,
% 9.08/6.57 (~node4(s132)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10815, 22, 22416])).
% 9.08/6.57 tff(22418,plain,
% 9.08/6.57 (xuntil6(s132) | (~until5(s132))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10822, 36, 22417])).
% 9.08/6.57 tff(22419,plain,
% 9.08/6.57 (~until5(s132)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22418, 22415])).
% 9.08/6.57 tff(22420,plain,
% 9.08/6.57 (~xuntil6(s131)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10811, 22419])).
% 9.08/6.57 tff(22421,plain,
% 9.08/6.57 (~always3(s131)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8678, 22416])).
% 9.08/6.57 tff(22422,plain,
% 9.08/6.57 (~node4(s131)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10798, 22, 22421])).
% 9.08/6.57 tff(22423,plain,
% 9.08/6.57 (xuntil6(s131) | (~until5(s131))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10805, 36, 22422])).
% 9.08/6.57 tff(22424,plain,
% 9.08/6.57 (~until5(s131)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22423, 22420])).
% 9.08/6.57 tff(22425,plain,
% 9.08/6.57 (~xuntil6(s130)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10794, 22424])).
% 9.08/6.57 tff(22426,plain,
% 9.08/6.57 (~always3(s130)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8690, 22421])).
% 9.08/6.57 tff(22427,plain,
% 9.08/6.57 (~node4(s130)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10781, 22, 22426])).
% 9.08/6.57 tff(22428,plain,
% 9.08/6.57 (xuntil6(s130) | (~until5(s130))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10788, 36, 22427])).
% 9.08/6.57 tff(22429,plain,
% 9.08/6.57 (~until5(s130)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22428, 22425])).
% 9.08/6.57 tff(22430,plain,
% 9.08/6.57 (~xuntil6(s129)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10777, 22429])).
% 9.08/6.57 tff(22431,plain,
% 9.08/6.57 (~always3(s129)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8702, 22426])).
% 9.08/6.57 tff(22432,plain,
% 9.08/6.57 (~node4(s129)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10764, 22, 22431])).
% 9.08/6.57 tff(22433,plain,
% 9.08/6.57 (xuntil6(s129) | (~until5(s129))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10771, 36, 22432])).
% 9.08/6.57 tff(22434,plain,
% 9.08/6.57 (~until5(s129)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22433, 22430])).
% 9.08/6.57 tff(22435,plain,
% 9.08/6.57 (~xuntil6(s128)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10760, 22434])).
% 9.08/6.57 tff(22436,plain,
% 9.08/6.57 (~always3(s128)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8714, 22431])).
% 9.08/6.57 tff(22437,plain,
% 9.08/6.57 (~node4(s128)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10747, 22, 22436])).
% 9.08/6.57 tff(22438,plain,
% 9.08/6.57 (xuntil6(s128) | (~until5(s128))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10754, 36, 22437])).
% 9.08/6.57 tff(22439,plain,
% 9.08/6.57 (~until5(s128)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22438, 22435])).
% 9.08/6.57 tff(22440,plain,
% 9.08/6.57 (~xuntil6(s127)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10743, 22439])).
% 9.08/6.57 tff(22441,plain,
% 9.08/6.57 (~always3(s127)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8726, 22436])).
% 9.08/6.57 tff(22442,plain,
% 9.08/6.57 (~node4(s127)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10730, 22, 22441])).
% 9.08/6.57 tff(22443,plain,
% 9.08/6.57 (xuntil6(s127) | (~until5(s127))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10737, 36, 22442])).
% 9.08/6.57 tff(22444,plain,
% 9.08/6.57 (~until5(s127)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22443, 22440])).
% 9.08/6.57 tff(22445,plain,
% 9.08/6.57 (~xuntil6(s126)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10726, 22444])).
% 9.08/6.57 tff(22446,plain,
% 9.08/6.57 (~always3(s126)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8738, 22441])).
% 9.08/6.57 tff(22447,plain,
% 9.08/6.57 (~node4(s126)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10713, 22, 22446])).
% 9.08/6.57 tff(22448,plain,
% 9.08/6.57 (xuntil6(s126) | (~until5(s126))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10720, 36, 22447])).
% 9.08/6.57 tff(22449,plain,
% 9.08/6.57 (~until5(s126)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22448, 22445])).
% 9.08/6.57 tff(22450,plain,
% 9.08/6.57 (~xuntil6(s125)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10709, 22449])).
% 9.08/6.57 tff(22451,plain,
% 9.08/6.57 (~always3(s125)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8750, 22446])).
% 9.08/6.57 tff(22452,plain,
% 9.08/6.57 (~node4(s125)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10696, 22, 22451])).
% 9.08/6.57 tff(22453,plain,
% 9.08/6.57 (xuntil6(s125) | (~until5(s125))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10703, 36, 22452])).
% 9.08/6.57 tff(22454,plain,
% 9.08/6.57 (~until5(s125)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22453, 22450])).
% 9.08/6.57 tff(22455,plain,
% 9.08/6.57 (~xuntil6(s124)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10692, 22454])).
% 9.08/6.57 tff(22456,plain,
% 9.08/6.57 (~always3(s124)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8762, 22451])).
% 9.08/6.57 tff(22457,plain,
% 9.08/6.57 (~node4(s124)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10679, 22, 22456])).
% 9.08/6.57 tff(22458,plain,
% 9.08/6.57 (xuntil6(s124) | (~until5(s124))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10686, 36, 22457])).
% 9.08/6.57 tff(22459,plain,
% 9.08/6.57 (~until5(s124)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22458, 22455])).
% 9.08/6.57 tff(22460,plain,
% 9.08/6.57 (~xuntil6(s123)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10675, 22459])).
% 9.08/6.57 tff(22461,plain,
% 9.08/6.57 (~always3(s123)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8774, 22456])).
% 9.08/6.57 tff(22462,plain,
% 9.08/6.57 (~node4(s123)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10662, 22, 22461])).
% 9.08/6.57 tff(22463,plain,
% 9.08/6.57 (xuntil6(s123) | (~until5(s123))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10669, 36, 22462])).
% 9.08/6.57 tff(22464,plain,
% 9.08/6.57 (~until5(s123)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22463, 22460])).
% 9.08/6.57 tff(22465,plain,
% 9.08/6.57 (~xuntil6(s122)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10658, 22464])).
% 9.08/6.57 tff(22466,plain,
% 9.08/6.57 (~always3(s122)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8786, 22461])).
% 9.08/6.57 tff(22467,plain,
% 9.08/6.57 (~node4(s122)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10645, 22, 22466])).
% 9.08/6.57 tff(22468,plain,
% 9.08/6.57 (xuntil6(s122) | (~until5(s122))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10652, 36, 22467])).
% 9.08/6.57 tff(22469,plain,
% 9.08/6.57 (~until5(s122)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22468, 22465])).
% 9.08/6.57 tff(22470,plain,
% 9.08/6.57 (~xuntil6(s121)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10641, 22469])).
% 9.08/6.57 tff(22471,plain,
% 9.08/6.57 (~always3(s121)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8798, 22466])).
% 9.08/6.57 tff(22472,plain,
% 9.08/6.57 (~node4(s121)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10628, 22, 22471])).
% 9.08/6.57 tff(22473,plain,
% 9.08/6.57 (xuntil6(s121) | (~until5(s121))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10635, 36, 22472])).
% 9.08/6.57 tff(22474,plain,
% 9.08/6.57 (~until5(s121)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22473, 22470])).
% 9.08/6.57 tff(22475,plain,
% 9.08/6.57 (~xuntil6(s120)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10624, 22474])).
% 9.08/6.57 tff(22476,plain,
% 9.08/6.57 (~always3(s120)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8810, 22471])).
% 9.08/6.57 tff(22477,plain,
% 9.08/6.57 (~node4(s120)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10611, 22, 22476])).
% 9.08/6.57 tff(22478,plain,
% 9.08/6.57 (xuntil6(s120) | (~until5(s120))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10618, 36, 22477])).
% 9.08/6.57 tff(22479,plain,
% 9.08/6.57 (~until5(s120)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22478, 22475])).
% 9.08/6.57 tff(22480,plain,
% 9.08/6.57 (~xuntil6(s119)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10607, 22479])).
% 9.08/6.57 tff(22481,plain,
% 9.08/6.57 (~always3(s119)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8822, 22476])).
% 9.08/6.57 tff(22482,plain,
% 9.08/6.57 (~node4(s119)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10594, 22, 22481])).
% 9.08/6.57 tff(22483,plain,
% 9.08/6.57 (xuntil6(s119) | (~until5(s119))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10601, 36, 22482])).
% 9.08/6.57 tff(22484,plain,
% 9.08/6.57 (~until5(s119)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22483, 22480])).
% 9.08/6.57 tff(22485,plain,
% 9.08/6.57 (~xuntil6(s118)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10590, 22484])).
% 9.08/6.57 tff(22486,plain,
% 9.08/6.57 (~always3(s118)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8834, 22481])).
% 9.08/6.57 tff(22487,plain,
% 9.08/6.57 (~node4(s118)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10577, 22, 22486])).
% 9.08/6.57 tff(22488,plain,
% 9.08/6.57 (xuntil6(s118) | (~until5(s118))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10584, 36, 22487])).
% 9.08/6.57 tff(22489,plain,
% 9.08/6.57 (~until5(s118)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22488, 22485])).
% 9.08/6.57 tff(22490,plain,
% 9.08/6.57 (~xuntil6(s117)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10573, 22489])).
% 9.08/6.57 tff(22491,plain,
% 9.08/6.57 (~always3(s117)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8846, 22486])).
% 9.08/6.57 tff(22492,plain,
% 9.08/6.57 (~node4(s117)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10560, 22, 22491])).
% 9.08/6.57 tff(22493,plain,
% 9.08/6.57 (xuntil6(s117) | (~until5(s117))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10567, 36, 22492])).
% 9.08/6.57 tff(22494,plain,
% 9.08/6.57 (~until5(s117)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22493, 22490])).
% 9.08/6.57 tff(22495,plain,
% 9.08/6.57 (~xuntil6(s116)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10556, 22494])).
% 9.08/6.57 tff(22496,plain,
% 9.08/6.57 (~always3(s116)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8858, 22491])).
% 9.08/6.57 tff(22497,plain,
% 9.08/6.57 (~node4(s116)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10543, 22, 22496])).
% 9.08/6.57 tff(22498,plain,
% 9.08/6.57 (xuntil6(s116) | (~until5(s116))),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10550, 36, 22497])).
% 9.08/6.57 tff(22499,plain,
% 9.08/6.57 (~until5(s116)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[22498, 22495])).
% 9.08/6.57 tff(22500,plain,
% 9.08/6.57 (~xuntil6(s115)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10539, 22499])).
% 9.08/6.57 tff(22501,plain,
% 9.08/6.57 (~always3(s115)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[8870, 22496])).
% 9.08/6.57 tff(22502,plain,
% 9.08/6.57 (~node4(s115)),
% 9.08/6.57 inference(unit_resolution,[status(thm)],[10526, 22, 22501])).
% 9.08/6.58 tff(22503,plain,
% 9.08/6.58 (xuntil6(s115) | (~until5(s115))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10533, 36, 22502])).
% 9.08/6.58 tff(22504,plain,
% 9.08/6.58 (~until5(s115)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22503, 22500])).
% 9.08/6.58 tff(22505,plain,
% 9.08/6.58 (~xuntil6(s114)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10522, 22504])).
% 9.08/6.58 tff(22506,plain,
% 9.08/6.58 (~always3(s114)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8882, 22501])).
% 9.08/6.58 tff(22507,plain,
% 9.08/6.58 (~node4(s114)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10509, 22, 22506])).
% 9.08/6.58 tff(22508,plain,
% 9.08/6.58 (xuntil6(s114) | (~until5(s114))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10516, 36, 22507])).
% 9.08/6.58 tff(22509,plain,
% 9.08/6.58 (~until5(s114)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22508, 22505])).
% 9.08/6.58 tff(22510,plain,
% 9.08/6.58 (~xuntil6(s113)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10505, 22509])).
% 9.08/6.58 tff(22511,plain,
% 9.08/6.58 (~always3(s113)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8894, 22506])).
% 9.08/6.58 tff(22512,plain,
% 9.08/6.58 (~node4(s113)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10492, 22, 22511])).
% 9.08/6.58 tff(22513,plain,
% 9.08/6.58 (xuntil6(s113) | (~until5(s113))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10499, 36, 22512])).
% 9.08/6.58 tff(22514,plain,
% 9.08/6.58 (~until5(s113)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22513, 22510])).
% 9.08/6.58 tff(22515,plain,
% 9.08/6.58 (~xuntil6(s112)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10488, 22514])).
% 9.08/6.58 tff(22516,plain,
% 9.08/6.58 (~always3(s112)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8906, 22511])).
% 9.08/6.58 tff(22517,plain,
% 9.08/6.58 (~node4(s112)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10475, 22, 22516])).
% 9.08/6.58 tff(22518,plain,
% 9.08/6.58 (xuntil6(s112) | (~until5(s112))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10482, 36, 22517])).
% 9.08/6.58 tff(22519,plain,
% 9.08/6.58 (~until5(s112)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22518, 22515])).
% 9.08/6.58 tff(22520,plain,
% 9.08/6.58 (~xuntil6(s111)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10471, 22519])).
% 9.08/6.58 tff(22521,plain,
% 9.08/6.58 (~always3(s111)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8918, 22516])).
% 9.08/6.58 tff(22522,plain,
% 9.08/6.58 (~node4(s111)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10458, 22, 22521])).
% 9.08/6.58 tff(22523,plain,
% 9.08/6.58 (xuntil6(s111) | (~until5(s111))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10465, 36, 22522])).
% 9.08/6.58 tff(22524,plain,
% 9.08/6.58 (~until5(s111)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22523, 22520])).
% 9.08/6.58 tff(22525,plain,
% 9.08/6.58 (~xuntil6(s110)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10454, 22524])).
% 9.08/6.58 tff(22526,plain,
% 9.08/6.58 (~always3(s110)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8930, 22521])).
% 9.08/6.58 tff(22527,plain,
% 9.08/6.58 (~node4(s110)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10441, 22, 22526])).
% 9.08/6.58 tff(22528,plain,
% 9.08/6.58 (xuntil6(s110) | (~until5(s110))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10448, 36, 22527])).
% 9.08/6.58 tff(22529,plain,
% 9.08/6.58 (~until5(s110)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22528, 22525])).
% 9.08/6.58 tff(22530,plain,
% 9.08/6.58 (~xuntil6(s109)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10437, 22529])).
% 9.08/6.58 tff(22531,plain,
% 9.08/6.58 (~always3(s109)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8942, 22526])).
% 9.08/6.58 tff(22532,plain,
% 9.08/6.58 (~node4(s109)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10424, 22, 22531])).
% 9.08/6.58 tff(22533,plain,
% 9.08/6.58 (xuntil6(s109) | (~until5(s109))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10431, 36, 22532])).
% 9.08/6.58 tff(22534,plain,
% 9.08/6.58 (~until5(s109)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22533, 22530])).
% 9.08/6.58 tff(22535,plain,
% 9.08/6.58 (~xuntil6(s108)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10420, 22534])).
% 9.08/6.58 tff(22536,plain,
% 9.08/6.58 (~always3(s108)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8954, 22531])).
% 9.08/6.58 tff(22537,plain,
% 9.08/6.58 (~node4(s108)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10407, 22, 22536])).
% 9.08/6.58 tff(22538,plain,
% 9.08/6.58 (xuntil6(s108) | (~until5(s108))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10414, 36, 22537])).
% 9.08/6.58 tff(22539,plain,
% 9.08/6.58 (~until5(s108)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22538, 22535])).
% 9.08/6.58 tff(22540,plain,
% 9.08/6.58 (~xuntil6(s107)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10403, 22539])).
% 9.08/6.58 tff(22541,plain,
% 9.08/6.58 (~always3(s107)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8966, 22536])).
% 9.08/6.58 tff(22542,plain,
% 9.08/6.58 (~node4(s107)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10390, 22, 22541])).
% 9.08/6.58 tff(22543,plain,
% 9.08/6.58 (xuntil6(s107) | (~until5(s107))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10397, 36, 22542])).
% 9.08/6.58 tff(22544,plain,
% 9.08/6.58 (~until5(s107)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22543, 22540])).
% 9.08/6.58 tff(22545,plain,
% 9.08/6.58 (~xuntil6(s106)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10386, 22544])).
% 9.08/6.58 tff(22546,plain,
% 9.08/6.58 (~always3(s106)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8978, 22541])).
% 9.08/6.58 tff(22547,plain,
% 9.08/6.58 (~node4(s106)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10373, 22, 22546])).
% 9.08/6.58 tff(22548,plain,
% 9.08/6.58 (xuntil6(s106) | (~until5(s106))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10380, 36, 22547])).
% 9.08/6.58 tff(22549,plain,
% 9.08/6.58 (~until5(s106)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22548, 22545])).
% 9.08/6.58 tff(22550,plain,
% 9.08/6.58 (~xuntil6(s105)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10369, 22549])).
% 9.08/6.58 tff(22551,plain,
% 9.08/6.58 (~always3(s105)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8990, 22546])).
% 9.08/6.58 tff(22552,plain,
% 9.08/6.58 (~node4(s105)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10356, 22, 22551])).
% 9.08/6.58 tff(22553,plain,
% 9.08/6.58 (xuntil6(s105) | (~until5(s105))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10363, 36, 22552])).
% 9.08/6.58 tff(22554,plain,
% 9.08/6.58 (~until5(s105)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22553, 22550])).
% 9.08/6.58 tff(22555,plain,
% 9.08/6.58 (~xuntil6(s104)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10352, 22554])).
% 9.08/6.58 tff(22556,plain,
% 9.08/6.58 (~always3(s104)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9002, 22551])).
% 9.08/6.58 tff(22557,plain,
% 9.08/6.58 (~node4(s104)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10339, 22, 22556])).
% 9.08/6.58 tff(22558,plain,
% 9.08/6.58 (xuntil6(s104) | (~until5(s104))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10346, 36, 22557])).
% 9.08/6.58 tff(22559,plain,
% 9.08/6.58 (~until5(s104)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22558, 22555])).
% 9.08/6.58 tff(22560,plain,
% 9.08/6.58 (~xuntil6(s103)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10335, 22559])).
% 9.08/6.58 tff(22561,plain,
% 9.08/6.58 (~always3(s103)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9014, 22556])).
% 9.08/6.58 tff(22562,plain,
% 9.08/6.58 (~node4(s103)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10322, 22, 22561])).
% 9.08/6.58 tff(22563,plain,
% 9.08/6.58 (xuntil6(s103) | (~until5(s103))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10329, 36, 22562])).
% 9.08/6.58 tff(22564,plain,
% 9.08/6.58 (~until5(s103)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22563, 22560])).
% 9.08/6.58 tff(22565,plain,
% 9.08/6.58 (~xuntil6(s102)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10318, 22564])).
% 9.08/6.58 tff(22566,plain,
% 9.08/6.58 (~always3(s102)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9026, 22561])).
% 9.08/6.58 tff(22567,plain,
% 9.08/6.58 (~node4(s102)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10305, 22, 22566])).
% 9.08/6.58 tff(22568,plain,
% 9.08/6.58 (xuntil6(s102) | (~until5(s102))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10312, 36, 22567])).
% 9.08/6.58 tff(22569,plain,
% 9.08/6.58 (~until5(s102)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22568, 22565])).
% 9.08/6.58 tff(22570,plain,
% 9.08/6.58 (~xuntil6(s101)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10301, 22569])).
% 9.08/6.58 tff(22571,plain,
% 9.08/6.58 (~always3(s101)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9038, 22566])).
% 9.08/6.58 tff(22572,plain,
% 9.08/6.58 (~node4(s101)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10288, 22, 22571])).
% 9.08/6.58 tff(22573,plain,
% 9.08/6.58 (xuntil6(s101) | (~until5(s101))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10295, 36, 22572])).
% 9.08/6.58 tff(22574,plain,
% 9.08/6.58 (~until5(s101)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22573, 22570])).
% 9.08/6.58 tff(22575,plain,
% 9.08/6.58 (~xuntil6(s100)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10284, 22574])).
% 9.08/6.58 tff(22576,plain,
% 9.08/6.58 (~always3(s100)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9050, 22571])).
% 9.08/6.58 tff(22577,plain,
% 9.08/6.58 (~node4(s100)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10271, 22, 22576])).
% 9.08/6.58 tff(22578,plain,
% 9.08/6.58 (xuntil6(s100) | (~until5(s100))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10278, 36, 22577])).
% 9.08/6.58 tff(22579,plain,
% 9.08/6.58 (~until5(s100)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22578, 22575])).
% 9.08/6.58 tff(22580,plain,
% 9.08/6.58 (~xuntil6(s99)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10267, 22579])).
% 9.08/6.58 tff(22581,plain,
% 9.08/6.58 (~always3(s99)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9062, 22576])).
% 9.08/6.58 tff(22582,plain,
% 9.08/6.58 (~node4(s99)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10254, 22, 22581])).
% 9.08/6.58 tff(22583,plain,
% 9.08/6.58 (xuntil6(s99) | (~until5(s99))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10261, 36, 22582])).
% 9.08/6.58 tff(22584,plain,
% 9.08/6.58 (~until5(s99)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22583, 22580])).
% 9.08/6.58 tff(22585,plain,
% 9.08/6.58 (~xuntil6(s98)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10250, 22584])).
% 9.08/6.58 tff(22586,plain,
% 9.08/6.58 (~always3(s98)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9074, 22581])).
% 9.08/6.58 tff(22587,plain,
% 9.08/6.58 (~node4(s98)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10237, 22, 22586])).
% 9.08/6.58 tff(22588,plain,
% 9.08/6.58 (xuntil6(s98) | (~until5(s98))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10244, 36, 22587])).
% 9.08/6.58 tff(22589,plain,
% 9.08/6.58 (~until5(s98)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22588, 22585])).
% 9.08/6.58 tff(22590,plain,
% 9.08/6.58 (~xuntil6(s97)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10233, 22589])).
% 9.08/6.58 tff(22591,plain,
% 9.08/6.58 (~always3(s97)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9086, 22586])).
% 9.08/6.58 tff(22592,plain,
% 9.08/6.58 (~node4(s97)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10220, 22, 22591])).
% 9.08/6.58 tff(22593,plain,
% 9.08/6.58 (xuntil6(s97) | (~until5(s97))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10227, 36, 22592])).
% 9.08/6.58 tff(22594,plain,
% 9.08/6.58 (~until5(s97)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22593, 22590])).
% 9.08/6.58 tff(22595,plain,
% 9.08/6.58 (~xuntil6(s96)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10216, 22594])).
% 9.08/6.58 tff(22596,plain,
% 9.08/6.58 (~always3(s96)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9098, 22591])).
% 9.08/6.58 tff(22597,plain,
% 9.08/6.58 (~node4(s96)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10203, 22, 22596])).
% 9.08/6.58 tff(22598,plain,
% 9.08/6.58 (xuntil6(s96) | (~until5(s96))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10210, 36, 22597])).
% 9.08/6.58 tff(22599,plain,
% 9.08/6.58 (~until5(s96)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22598, 22595])).
% 9.08/6.58 tff(22600,plain,
% 9.08/6.58 (~xuntil6(s95)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10199, 22599])).
% 9.08/6.58 tff(22601,plain,
% 9.08/6.58 (~always3(s95)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9110, 22596])).
% 9.08/6.58 tff(22602,plain,
% 9.08/6.58 (~node4(s95)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10186, 22, 22601])).
% 9.08/6.58 tff(22603,plain,
% 9.08/6.58 (xuntil6(s95) | (~until5(s95))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10193, 36, 22602])).
% 9.08/6.58 tff(22604,plain,
% 9.08/6.58 (~until5(s95)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22603, 22600])).
% 9.08/6.58 tff(22605,plain,
% 9.08/6.58 (~xuntil6(s94)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10182, 22604])).
% 9.08/6.58 tff(22606,plain,
% 9.08/6.58 (~always3(s94)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9122, 22601])).
% 9.08/6.58 tff(22607,plain,
% 9.08/6.58 (~node4(s94)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10169, 22, 22606])).
% 9.08/6.58 tff(22608,plain,
% 9.08/6.58 (xuntil6(s94) | (~until5(s94))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10176, 36, 22607])).
% 9.08/6.58 tff(22609,plain,
% 9.08/6.58 (~until5(s94)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22608, 22605])).
% 9.08/6.58 tff(22610,plain,
% 9.08/6.58 (~xuntil6(s93)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10165, 22609])).
% 9.08/6.58 tff(22611,plain,
% 9.08/6.58 (~always3(s93)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9134, 22606])).
% 9.08/6.58 tff(22612,plain,
% 9.08/6.58 (~node4(s93)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10152, 22, 22611])).
% 9.08/6.58 tff(22613,plain,
% 9.08/6.58 (xuntil6(s93) | (~until5(s93))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10159, 36, 22612])).
% 9.08/6.58 tff(22614,plain,
% 9.08/6.58 (~until5(s93)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22613, 22610])).
% 9.08/6.58 tff(22615,plain,
% 9.08/6.58 (~xuntil6(s92)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10148, 22614])).
% 9.08/6.58 tff(22616,plain,
% 9.08/6.58 (~always3(s92)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9146, 22611])).
% 9.08/6.58 tff(22617,plain,
% 9.08/6.58 (~node4(s92)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10135, 22, 22616])).
% 9.08/6.58 tff(22618,plain,
% 9.08/6.58 (xuntil6(s92) | (~until5(s92))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10142, 36, 22617])).
% 9.08/6.58 tff(22619,plain,
% 9.08/6.58 (~until5(s92)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22618, 22615])).
% 9.08/6.58 tff(22620,plain,
% 9.08/6.58 (~xuntil6(s91)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10131, 22619])).
% 9.08/6.58 tff(22621,plain,
% 9.08/6.58 (~always3(s91)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9158, 22616])).
% 9.08/6.58 tff(22622,plain,
% 9.08/6.58 (~always3(s90)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9170, 22621])).
% 9.08/6.58 tff(22623,plain,
% 9.08/6.58 (~always3(s89)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9182, 22622])).
% 9.08/6.58 tff(22624,plain,
% 9.08/6.58 (~always3(s88)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9194, 22623])).
% 9.08/6.58 tff(22625,plain,
% 9.08/6.58 (~always3(s87)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9206, 22624])).
% 9.08/6.58 tff(22626,plain,
% 9.08/6.58 (~always3(s86)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9218, 22625])).
% 9.08/6.58 tff(22627,plain,
% 9.08/6.58 (~always3(s85)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9230, 22626])).
% 9.08/6.58 tff(22628,plain,
% 9.08/6.58 (~always3(s84)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9242, 22627])).
% 9.08/6.58 tff(22629,plain,
% 9.08/6.58 (~always3(s83)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9254, 22628])).
% 9.08/6.58 tff(22630,plain,
% 9.08/6.58 (~always3(s82)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9266, 22629])).
% 9.08/6.58 tff(22631,plain,
% 9.08/6.58 (~always3(s81)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9278, 22630])).
% 9.08/6.58 tff(22632,plain,
% 9.08/6.58 (~always3(s80)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9290, 22631])).
% 9.08/6.58 tff(22633,plain,
% 9.08/6.58 (~always3(s79)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9302, 22632])).
% 9.08/6.58 tff(22634,plain,
% 9.08/6.58 (~always3(s78)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9314, 22633])).
% 9.08/6.58 tff(22635,plain,
% 9.08/6.58 (~always3(s77)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9326, 22634])).
% 9.08/6.58 tff(22636,plain,
% 9.08/6.58 (~always3(s76)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9338, 22635])).
% 9.08/6.58 tff(22637,plain,
% 9.08/6.58 (~always3(s75)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9350, 22636])).
% 9.08/6.58 tff(22638,plain,
% 9.08/6.58 (~always3(s74)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9362, 22637])).
% 9.08/6.58 tff(22639,plain,
% 9.08/6.58 (~always3(s73)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9374, 22638])).
% 9.08/6.58 tff(22640,plain,
% 9.08/6.58 (~always3(s72)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9386, 22639])).
% 9.08/6.58 tff(22641,plain,
% 9.08/6.58 (~always3(s71)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9398, 22640])).
% 9.08/6.58 tff(22642,plain,
% 9.08/6.58 (~always3(s70)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9410, 22641])).
% 9.08/6.58 tff(22643,plain,
% 9.08/6.58 (~always3(s69)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9422, 22642])).
% 9.08/6.58 tff(22644,plain,
% 9.08/6.58 (~always3(s68)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9434, 22643])).
% 9.08/6.58 tff(22645,plain,
% 9.08/6.58 (~always3(s67)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9446, 22644])).
% 9.08/6.58 tff(22646,plain,
% 9.08/6.58 (~always3(s66)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9458, 22645])).
% 9.08/6.58 tff(22647,plain,
% 9.08/6.58 (~always3(s65)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9470, 22646])).
% 9.08/6.58 tff(22648,plain,
% 9.08/6.58 (~always3(s64)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9482, 22647])).
% 9.08/6.58 tff(22649,plain,
% 9.08/6.58 (~always3(s63)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9494, 22648])).
% 9.08/6.58 tff(22650,plain,
% 9.08/6.58 (~always3(s62)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9506, 22649])).
% 9.08/6.58 tff(22651,plain,
% 9.08/6.58 (~always3(s61)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9518, 22650])).
% 9.08/6.58 tff(22652,plain,
% 9.08/6.58 (~always3(s60)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9530, 22651])).
% 9.08/6.58 tff(22653,plain,
% 9.08/6.58 (~always3(s59)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9542, 22652])).
% 9.08/6.58 tff(22654,plain,
% 9.08/6.58 (~always3(s58)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9558, 22653])).
% 9.08/6.58 tff(22655,plain,
% 9.08/6.58 (~always3(s57)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[5004, 22654])).
% 9.08/6.58 tff(22656,plain,
% 9.08/6.58 (~always3(s56)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4870, 22655])).
% 9.08/6.58 tff(22657,plain,
% 9.08/6.58 (~always3(s55)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4750, 22656])).
% 9.08/6.58 tff(22658,plain,
% 9.08/6.58 (~always3(s54)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4602, 22657])).
% 9.08/6.58 tff(22659,plain,
% 9.08/6.58 (~always3(s53)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4647, 22658])).
% 9.08/6.58 tff(22660,plain,
% 9.08/6.58 (~always3(s52)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4521, 22659])).
% 9.08/6.58 tff(22661,plain,
% 9.08/6.58 (~always3(s51)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4412, 22660])).
% 9.08/6.58 tff(22662,plain,
% 9.08/6.58 (~always3(s50)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4363, 22661])).
% 9.08/6.58 tff(22663,plain,
% 9.08/6.58 (~always3(s49)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3944, 22662])).
% 9.08/6.58 tff(22664,plain,
% 9.08/6.58 (~always3(s48)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3754, 22663])).
% 9.08/6.58 tff(22665,plain,
% 9.08/6.58 (~always3(s47)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3799, 22664])).
% 9.08/6.58 tff(22666,plain,
% 9.08/6.58 (~always3(s46)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3828, 22665])).
% 9.08/6.58 tff(22667,plain,
% 9.08/6.58 (~always3(s45)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3857, 22666])).
% 9.08/6.58 tff(22668,plain,
% 9.08/6.58 (~always3(s44)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3886, 22667])).
% 9.08/6.58 tff(22669,plain,
% 9.08/6.58 (~always3(s43)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3705, 22668])).
% 9.08/6.58 tff(22670,plain,
% 9.08/6.58 (~always3(s42)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3618, 22669])).
% 9.08/6.58 tff(22671,plain,
% 9.08/6.58 (~always3(s41)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3559, 22670])).
% 9.08/6.58 tff(22672,plain,
% 9.08/6.58 (~always3(s40)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3474, 22671])).
% 9.08/6.58 tff(22673,plain,
% 9.08/6.58 (~always3(s39)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3424, 22672])).
% 9.08/6.58 tff(22674,plain,
% 9.08/6.58 (~node4(s39)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3428, 22, 22673])).
% 9.08/6.58 tff(22675,plain,
% 9.08/6.58 (~always3(s38)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3233, 22673])).
% 9.08/6.58 tff(22676,plain,
% 9.08/6.58 (~node4(s38)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3219, 22, 22675])).
% 9.08/6.58 tff(22677,plain,
% 9.08/6.58 (~always3(s37)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[2932, 22675])).
% 9.08/6.58 tff(22678,plain,
% 9.08/6.58 (xuntil6(s37)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3202, 22677])).
% 9.08/6.58 tff(22679,plain,
% 9.08/6.58 (until5(s38)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3207, 22678])).
% 9.08/6.58 tff(22680,plain,
% 9.08/6.58 (xuntil6(s38) | node4(s38)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3214, 36, 22679])).
% 9.08/6.58 tff(22681,plain,
% 9.08/6.58 (xuntil6(s38)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22680, 22676])).
% 9.08/6.58 tff(22682,plain,
% 9.08/6.58 (until5(s39)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3410, 22681])).
% 9.08/6.58 tff(22683,plain,
% 9.08/6.58 (xuntil6(s39)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3460, 36, 22682, 22674])).
% 9.08/6.58 tff(22684,plain,
% 9.08/6.58 (until5(s40)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3445, 22683])).
% 9.08/6.58 tff(22685,plain,
% 9.08/6.58 (~node4(s40)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3432, 22, 22672])).
% 9.08/6.58 tff(22686,plain,
% 9.08/6.58 (xuntil6(s40) | (~until5(s40))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3439, 36, 22685])).
% 9.08/6.58 tff(22687,plain,
% 9.08/6.58 (xuntil6(s40)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22686, 22684])).
% 9.08/6.58 tff(22688,plain,
% 9.08/6.58 (until5(s41)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3545, 22687])).
% 9.08/6.58 tff(22689,plain,
% 9.08/6.58 (~node4(s41)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3563, 22, 22671])).
% 9.08/6.58 tff(22690,plain,
% 9.08/6.58 (xuntil6(s41) | (~until5(s41))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3587, 36, 22689])).
% 9.08/6.58 tff(22691,plain,
% 9.08/6.58 (xuntil6(s41)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22690, 22688])).
% 9.08/6.58 tff(22692,plain,
% 9.08/6.58 (until5(s42)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3580, 22691])).
% 9.08/6.58 tff(22693,plain,
% 9.08/6.58 (~node4(s42)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3567, 22, 22670])).
% 9.08/6.58 tff(22694,plain,
% 9.08/6.58 (xuntil6(s42) | (~until5(s42))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3574, 36, 22693])).
% 9.08/6.58 tff(22695,plain,
% 9.08/6.58 (xuntil6(s42)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22694, 22692])).
% 9.08/6.58 tff(22696,plain,
% 9.08/6.58 (until5(s43)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3684, 22695])).
% 9.08/6.58 tff(22697,plain,
% 9.08/6.58 (~node4(s43)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3693, 22, 22669])).
% 9.08/6.58 tff(22698,plain,
% 9.08/6.58 (xuntil6(s43) | (~until5(s43))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3734, 36, 22697])).
% 9.08/6.58 tff(22699,plain,
% 9.08/6.58 (xuntil6(s43)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22698, 22696])).
% 9.08/6.58 tff(22700,plain,
% 9.08/6.58 (until5(s44)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3740, 22699])).
% 9.08/6.58 tff(22701,plain,
% 9.08/6.58 (~node4(s44)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3890, 22, 22668])).
% 9.08/6.58 tff(22702,plain,
% 9.08/6.58 (xuntil6(s44) | (~until5(s44))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3897, 36, 22701])).
% 9.08/6.58 tff(22703,plain,
% 9.08/6.58 (xuntil6(s44)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22702, 22700])).
% 9.08/6.58 tff(22704,plain,
% 9.08/6.58 (until5(s45)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3877, 22703])).
% 9.08/6.58 tff(22705,plain,
% 9.08/6.58 (~node4(s45)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3861, 22, 22667])).
% 9.08/6.58 tff(22706,plain,
% 9.08/6.58 (xuntil6(s45) | (~until5(s45))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3868, 36, 22705])).
% 9.08/6.58 tff(22707,plain,
% 9.08/6.58 (xuntil6(s45)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22706, 22704])).
% 9.08/6.58 tff(22708,plain,
% 9.08/6.58 (until5(s46)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3848, 22707])).
% 9.08/6.58 tff(22709,plain,
% 9.08/6.58 (~node4(s46)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3832, 22, 22666])).
% 9.08/6.58 tff(22710,plain,
% 9.08/6.58 (xuntil6(s46) | (~until5(s46))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3839, 36, 22709])).
% 9.08/6.58 tff(22711,plain,
% 9.08/6.58 (xuntil6(s46)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22710, 22708])).
% 9.08/6.58 tff(22712,plain,
% 9.08/6.58 (until5(s47)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3819, 22711])).
% 9.08/6.58 tff(22713,plain,
% 9.08/6.58 (~node4(s47)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3803, 22, 22665])).
% 9.08/6.58 tff(22714,plain,
% 9.08/6.58 (xuntil6(s47) | (~until5(s47))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3810, 36, 22713])).
% 9.08/6.58 tff(22715,plain,
% 9.08/6.58 (xuntil6(s47)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22714, 22712])).
% 9.08/6.58 tff(22716,plain,
% 9.08/6.58 (until5(s48)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3790, 22715])).
% 9.08/6.58 tff(22717,plain,
% 9.08/6.58 (~node4(s48)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3758, 22, 22664])).
% 9.08/6.58 tff(22718,plain,
% 9.08/6.58 (xuntil6(s48) | (~until5(s48))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3782, 36, 22717])).
% 9.08/6.58 tff(22719,plain,
% 9.08/6.58 (xuntil6(s48)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22718, 22716])).
% 9.08/6.58 tff(22720,plain,
% 9.08/6.58 (until5(s49)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3775, 22719])).
% 9.08/6.58 tff(22721,plain,
% 9.08/6.58 (~node4(s49)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3762, 22, 22663])).
% 9.08/6.58 tff(22722,plain,
% 9.08/6.58 (xuntil6(s49) | (~until5(s49))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[3769, 36, 22721])).
% 9.08/6.58 tff(22723,plain,
% 9.08/6.58 (xuntil6(s49)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22722, 22720])).
% 9.08/6.58 tff(22724,plain,
% 9.08/6.58 (until5(s50)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4342, 22723])).
% 9.08/6.58 tff(22725,plain,
% 9.08/6.58 (~node4(s50)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4351, 22, 22662])).
% 9.08/6.58 tff(22726,plain,
% 9.08/6.58 (xuntil6(s50) | (~until5(s50))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4392, 36, 22725])).
% 9.08/6.58 tff(22727,plain,
% 9.08/6.58 (xuntil6(s50)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22726, 22724])).
% 9.08/6.58 tff(22728,plain,
% 9.08/6.58 (until5(s51)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4398, 22727])).
% 9.08/6.58 tff(22729,plain,
% 9.08/6.58 (~node4(s51)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4416, 22, 22661])).
% 9.08/6.58 tff(22730,plain,
% 9.08/6.58 (xuntil6(s51) | (~until5(s51))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4440, 36, 22729])).
% 9.08/6.58 tff(22731,plain,
% 9.08/6.58 (xuntil6(s51)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22730, 22728])).
% 9.08/6.58 tff(22732,plain,
% 9.08/6.58 (until5(s52)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4433, 22731])).
% 9.08/6.58 tff(22733,plain,
% 9.08/6.58 (~node4(s52)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4420, 22, 22660])).
% 9.08/6.58 tff(22734,plain,
% 9.08/6.58 (xuntil6(s52) | (~until5(s52))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4427, 36, 22733])).
% 9.08/6.58 tff(22735,plain,
% 9.08/6.58 (xuntil6(s52)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22734, 22732])).
% 9.08/6.58 tff(22736,plain,
% 9.08/6.58 (until5(s53)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4587, 22735])).
% 9.08/6.58 tff(22737,plain,
% 9.08/6.58 (~node4(s53)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4651, 22, 22659])).
% 9.08/6.58 tff(22738,plain,
% 9.08/6.58 (xuntil6(s53) | (~until5(s53))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4658, 36, 22737])).
% 9.08/6.58 tff(22739,plain,
% 9.08/6.58 (xuntil6(s53)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22738, 22736])).
% 9.08/6.58 tff(22740,plain,
% 9.08/6.58 (until5(s54)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4638, 22739])).
% 9.08/6.58 tff(22741,plain,
% 9.08/6.58 (~node4(s54)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4606, 22, 22658])).
% 9.08/6.58 tff(22742,plain,
% 9.08/6.58 (xuntil6(s54) | (~until5(s54))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4630, 36, 22741])).
% 9.08/6.58 tff(22743,plain,
% 9.08/6.58 (xuntil6(s54)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22742, 22740])).
% 9.08/6.58 tff(22744,plain,
% 9.08/6.58 (until5(s55)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4623, 22743])).
% 9.08/6.58 tff(22745,plain,
% 9.08/6.58 (~node4(s55)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4610, 22, 22657])).
% 9.08/6.58 tff(22746,plain,
% 9.08/6.58 (xuntil6(s55) | (~until5(s55))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4617, 36, 22745])).
% 9.08/6.58 tff(22747,plain,
% 9.08/6.58 (xuntil6(s55)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22746, 22744])).
% 9.08/6.58 tff(22748,plain,
% 9.08/6.58 (until5(s56)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4856, 22747])).
% 9.08/6.58 tff(22749,plain,
% 9.08/6.58 (~node4(s56)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4874, 22, 22656])).
% 9.08/6.58 tff(22750,plain,
% 9.08/6.58 (xuntil6(s56) | (~until5(s56))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4898, 36, 22749])).
% 9.08/6.58 tff(22751,plain,
% 9.08/6.58 (xuntil6(s56)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22750, 22748])).
% 9.08/6.58 tff(22752,plain,
% 9.08/6.58 (until5(s57)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4891, 22751])).
% 9.08/6.58 tff(22753,plain,
% 9.08/6.58 (~node4(s57)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4878, 22, 22655])).
% 9.08/6.58 tff(22754,plain,
% 9.08/6.58 (xuntil6(s57) | (~until5(s57))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[4885, 36, 22753])).
% 9.08/6.58 tff(22755,plain,
% 9.08/6.58 (xuntil6(s57)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22754, 22752])).
% 9.08/6.58 tff(22756,plain,
% 9.08/6.58 (until5(s58)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[5070, 22755])).
% 9.08/6.58 tff(22757,plain,
% 9.08/6.58 (~node4(s58)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9562, 22, 22654])).
% 9.08/6.58 tff(22758,plain,
% 9.08/6.58 (xuntil6(s58) | (~until5(s58))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9569, 36, 22757])).
% 9.08/6.58 tff(22759,plain,
% 9.08/6.58 (xuntil6(s58)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22758, 22756])).
% 9.08/6.58 tff(22760,plain,
% 9.08/6.58 (until5(s59)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9575, 22759])).
% 9.08/6.58 tff(22761,plain,
% 9.08/6.58 (~node4(s59)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9546, 22, 22653])).
% 9.08/6.58 tff(22762,plain,
% 9.08/6.58 (xuntil6(s59) | (~until5(s59))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9582, 36, 22761])).
% 9.08/6.58 tff(22763,plain,
% 9.08/6.58 (xuntil6(s59)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22762, 22760])).
% 9.08/6.58 tff(22764,plain,
% 9.08/6.58 (until5(s60)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9587, 22763])).
% 9.08/6.58 tff(22765,plain,
% 9.08/6.58 (~node4(s60)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9591, 22, 22652])).
% 9.08/6.58 tff(22766,plain,
% 9.08/6.58 (xuntil6(s60) | (~until5(s60))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9598, 36, 22765])).
% 9.08/6.58 tff(22767,plain,
% 9.08/6.58 (xuntil6(s60)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22766, 22764])).
% 9.08/6.58 tff(22768,plain,
% 9.08/6.58 (until5(s61)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9604, 22767])).
% 9.08/6.58 tff(22769,plain,
% 9.08/6.58 (~node4(s61)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9608, 22, 22651])).
% 9.08/6.58 tff(22770,plain,
% 9.08/6.58 (xuntil6(s61) | (~until5(s61))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9615, 36, 22769])).
% 9.08/6.58 tff(22771,plain,
% 9.08/6.58 (xuntil6(s61)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22770, 22768])).
% 9.08/6.58 tff(22772,plain,
% 9.08/6.58 (until5(s62)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9621, 22771])).
% 9.08/6.58 tff(22773,plain,
% 9.08/6.58 (~node4(s62)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9625, 22, 22650])).
% 9.08/6.58 tff(22774,plain,
% 9.08/6.58 (xuntil6(s62) | (~until5(s62))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9632, 36, 22773])).
% 9.08/6.58 tff(22775,plain,
% 9.08/6.58 (xuntil6(s62)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22774, 22772])).
% 9.08/6.58 tff(22776,plain,
% 9.08/6.58 (until5(s63)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9638, 22775])).
% 9.08/6.58 tff(22777,plain,
% 9.08/6.58 (~node4(s63)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9642, 22, 22649])).
% 9.08/6.58 tff(22778,plain,
% 9.08/6.58 (xuntil6(s63) | (~until5(s63))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9649, 36, 22777])).
% 9.08/6.58 tff(22779,plain,
% 9.08/6.58 (xuntil6(s63)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22778, 22776])).
% 9.08/6.58 tff(22780,plain,
% 9.08/6.58 (until5(s64)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9655, 22779])).
% 9.08/6.58 tff(22781,plain,
% 9.08/6.58 (~node4(s64)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9659, 22, 22648])).
% 9.08/6.58 tff(22782,plain,
% 9.08/6.58 (xuntil6(s64) | (~until5(s64))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9666, 36, 22781])).
% 9.08/6.58 tff(22783,plain,
% 9.08/6.58 (xuntil6(s64)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22782, 22780])).
% 9.08/6.58 tff(22784,plain,
% 9.08/6.58 (until5(s65)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9672, 22783])).
% 9.08/6.58 tff(22785,plain,
% 9.08/6.58 (~node4(s65)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9676, 22, 22647])).
% 9.08/6.58 tff(22786,plain,
% 9.08/6.58 (xuntil6(s65) | (~until5(s65))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9683, 36, 22785])).
% 9.08/6.58 tff(22787,plain,
% 9.08/6.58 (xuntil6(s65)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22786, 22784])).
% 9.08/6.58 tff(22788,plain,
% 9.08/6.58 (until5(s66)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9689, 22787])).
% 9.08/6.58 tff(22789,plain,
% 9.08/6.58 (~node4(s66)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9693, 22, 22646])).
% 9.08/6.58 tff(22790,plain,
% 9.08/6.58 (xuntil6(s66) | (~until5(s66))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9700, 36, 22789])).
% 9.08/6.58 tff(22791,plain,
% 9.08/6.58 (xuntil6(s66)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22790, 22788])).
% 9.08/6.58 tff(22792,plain,
% 9.08/6.58 (until5(s67)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9706, 22791])).
% 9.08/6.58 tff(22793,plain,
% 9.08/6.58 (~node4(s67)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9710, 22, 22645])).
% 9.08/6.58 tff(22794,plain,
% 9.08/6.58 (xuntil6(s67) | (~until5(s67))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9717, 36, 22793])).
% 9.08/6.58 tff(22795,plain,
% 9.08/6.58 (xuntil6(s67)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22794, 22792])).
% 9.08/6.58 tff(22796,plain,
% 9.08/6.58 (until5(s68)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9723, 22795])).
% 9.08/6.58 tff(22797,plain,
% 9.08/6.58 (~node4(s68)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9727, 22, 22644])).
% 9.08/6.58 tff(22798,plain,
% 9.08/6.58 (xuntil6(s68) | (~until5(s68))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9734, 36, 22797])).
% 9.08/6.58 tff(22799,plain,
% 9.08/6.58 (xuntil6(s68)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22798, 22796])).
% 9.08/6.58 tff(22800,plain,
% 9.08/6.58 (until5(s69)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9740, 22799])).
% 9.08/6.58 tff(22801,plain,
% 9.08/6.58 (~node4(s69)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9744, 22, 22643])).
% 9.08/6.58 tff(22802,plain,
% 9.08/6.58 (xuntil6(s69) | (~until5(s69))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9751, 36, 22801])).
% 9.08/6.58 tff(22803,plain,
% 9.08/6.58 (xuntil6(s69)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22802, 22800])).
% 9.08/6.58 tff(22804,plain,
% 9.08/6.58 (until5(s70)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9757, 22803])).
% 9.08/6.58 tff(22805,plain,
% 9.08/6.58 (~node4(s70)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9761, 22, 22642])).
% 9.08/6.58 tff(22806,plain,
% 9.08/6.58 (xuntil6(s70) | (~until5(s70))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9768, 36, 22805])).
% 9.08/6.58 tff(22807,plain,
% 9.08/6.58 (xuntil6(s70)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22806, 22804])).
% 9.08/6.58 tff(22808,plain,
% 9.08/6.58 (until5(s71)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9774, 22807])).
% 9.08/6.58 tff(22809,plain,
% 9.08/6.58 (~node4(s71)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9778, 22, 22641])).
% 9.08/6.58 tff(22810,plain,
% 9.08/6.58 (xuntil6(s71) | (~until5(s71))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9785, 36, 22809])).
% 9.08/6.58 tff(22811,plain,
% 9.08/6.58 (xuntil6(s71)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22810, 22808])).
% 9.08/6.58 tff(22812,plain,
% 9.08/6.58 (until5(s72)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9791, 22811])).
% 9.08/6.58 tff(22813,plain,
% 9.08/6.58 (~node4(s72)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9795, 22, 22640])).
% 9.08/6.58 tff(22814,plain,
% 9.08/6.58 (xuntil6(s72) | (~until5(s72))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9802, 36, 22813])).
% 9.08/6.58 tff(22815,plain,
% 9.08/6.58 (xuntil6(s72)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22814, 22812])).
% 9.08/6.58 tff(22816,plain,
% 9.08/6.58 (until5(s73)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9808, 22815])).
% 9.08/6.58 tff(22817,plain,
% 9.08/6.58 (~node4(s73)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9812, 22, 22639])).
% 9.08/6.58 tff(22818,plain,
% 9.08/6.58 (xuntil6(s73) | (~until5(s73))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9819, 36, 22817])).
% 9.08/6.58 tff(22819,plain,
% 9.08/6.58 (xuntil6(s73)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22818, 22816])).
% 9.08/6.58 tff(22820,plain,
% 9.08/6.58 (until5(s74)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9825, 22819])).
% 9.08/6.58 tff(22821,plain,
% 9.08/6.58 (~node4(s74)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9829, 22, 22638])).
% 9.08/6.58 tff(22822,plain,
% 9.08/6.58 (xuntil6(s74) | (~until5(s74))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9836, 36, 22821])).
% 9.08/6.58 tff(22823,plain,
% 9.08/6.58 (xuntil6(s74)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22822, 22820])).
% 9.08/6.58 tff(22824,plain,
% 9.08/6.58 (until5(s75)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9842, 22823])).
% 9.08/6.58 tff(22825,plain,
% 9.08/6.58 (~node4(s75)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9846, 22, 22637])).
% 9.08/6.58 tff(22826,plain,
% 9.08/6.58 (xuntil6(s75) | (~until5(s75))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9853, 36, 22825])).
% 9.08/6.58 tff(22827,plain,
% 9.08/6.58 (xuntil6(s75)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22826, 22824])).
% 9.08/6.58 tff(22828,plain,
% 9.08/6.58 (until5(s76)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9859, 22827])).
% 9.08/6.58 tff(22829,plain,
% 9.08/6.58 (~node4(s76)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9863, 22, 22636])).
% 9.08/6.58 tff(22830,plain,
% 9.08/6.58 (xuntil6(s76) | (~until5(s76))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9870, 36, 22829])).
% 9.08/6.58 tff(22831,plain,
% 9.08/6.58 (xuntil6(s76)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22830, 22828])).
% 9.08/6.58 tff(22832,plain,
% 9.08/6.58 (until5(s77)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9876, 22831])).
% 9.08/6.58 tff(22833,plain,
% 9.08/6.58 (~node4(s77)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9880, 22, 22635])).
% 9.08/6.58 tff(22834,plain,
% 9.08/6.58 (xuntil6(s77) | (~until5(s77))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9887, 36, 22833])).
% 9.08/6.58 tff(22835,plain,
% 9.08/6.58 (xuntil6(s77)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22834, 22832])).
% 9.08/6.58 tff(22836,plain,
% 9.08/6.58 (until5(s78)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9893, 22835])).
% 9.08/6.58 tff(22837,plain,
% 9.08/6.58 (~node4(s78)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9897, 22, 22634])).
% 9.08/6.58 tff(22838,plain,
% 9.08/6.58 (xuntil6(s78) | (~until5(s78))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9904, 36, 22837])).
% 9.08/6.58 tff(22839,plain,
% 9.08/6.58 (xuntil6(s78)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22838, 22836])).
% 9.08/6.58 tff(22840,plain,
% 9.08/6.58 (until5(s79)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9910, 22839])).
% 9.08/6.58 tff(22841,plain,
% 9.08/6.58 (~node4(s79)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9914, 22, 22633])).
% 9.08/6.58 tff(22842,plain,
% 9.08/6.58 (xuntil6(s79) | (~until5(s79))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9921, 36, 22841])).
% 9.08/6.58 tff(22843,plain,
% 9.08/6.58 (xuntil6(s79)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22842, 22840])).
% 9.08/6.58 tff(22844,plain,
% 9.08/6.58 (until5(s80)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9927, 22843])).
% 9.08/6.58 tff(22845,plain,
% 9.08/6.58 (~node4(s80)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9931, 22, 22632])).
% 9.08/6.58 tff(22846,plain,
% 9.08/6.58 (xuntil6(s80) | (~until5(s80))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9938, 36, 22845])).
% 9.08/6.58 tff(22847,plain,
% 9.08/6.58 (xuntil6(s80)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22846, 22844])).
% 9.08/6.58 tff(22848,plain,
% 9.08/6.58 (until5(s81)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9944, 22847])).
% 9.08/6.58 tff(22849,plain,
% 9.08/6.58 (~node4(s81)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9948, 22, 22631])).
% 9.08/6.58 tff(22850,plain,
% 9.08/6.58 (xuntil6(s81) | (~until5(s81))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9955, 36, 22849])).
% 9.08/6.58 tff(22851,plain,
% 9.08/6.58 (xuntil6(s81)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22850, 22848])).
% 9.08/6.58 tff(22852,plain,
% 9.08/6.58 (until5(s82)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9961, 22851])).
% 9.08/6.58 tff(22853,plain,
% 9.08/6.58 (~node4(s82)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9965, 22, 22630])).
% 9.08/6.58 tff(22854,plain,
% 9.08/6.58 (xuntil6(s82) | (~until5(s82))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9972, 36, 22853])).
% 9.08/6.58 tff(22855,plain,
% 9.08/6.58 (xuntil6(s82)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22854, 22852])).
% 9.08/6.58 tff(22856,plain,
% 9.08/6.58 (until5(s83)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9978, 22855])).
% 9.08/6.58 tff(22857,plain,
% 9.08/6.58 (~node4(s83)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9982, 22, 22629])).
% 9.08/6.58 tff(22858,plain,
% 9.08/6.58 (xuntil6(s83) | (~until5(s83))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9989, 36, 22857])).
% 9.08/6.58 tff(22859,plain,
% 9.08/6.58 (xuntil6(s83)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22858, 22856])).
% 9.08/6.58 tff(22860,plain,
% 9.08/6.58 (until5(s84)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9995, 22859])).
% 9.08/6.58 tff(22861,plain,
% 9.08/6.58 (~node4(s84)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[9999, 22, 22628])).
% 9.08/6.58 tff(22862,plain,
% 9.08/6.58 (xuntil6(s84) | (~until5(s84))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10006, 36, 22861])).
% 9.08/6.58 tff(22863,plain,
% 9.08/6.58 (xuntil6(s84)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22862, 22860])).
% 9.08/6.58 tff(22864,plain,
% 9.08/6.58 (until5(s85)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10012, 22863])).
% 9.08/6.58 tff(22865,plain,
% 9.08/6.58 (~node4(s85)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10016, 22, 22627])).
% 9.08/6.58 tff(22866,plain,
% 9.08/6.58 (xuntil6(s85) | (~until5(s85))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10023, 36, 22865])).
% 9.08/6.58 tff(22867,plain,
% 9.08/6.58 (xuntil6(s85)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22866, 22864])).
% 9.08/6.58 tff(22868,plain,
% 9.08/6.58 (until5(s86)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10029, 22867])).
% 9.08/6.58 tff(22869,plain,
% 9.08/6.58 (~node4(s86)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10033, 22, 22626])).
% 9.08/6.58 tff(22870,plain,
% 9.08/6.58 (xuntil6(s86) | (~until5(s86))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10040, 36, 22869])).
% 9.08/6.58 tff(22871,plain,
% 9.08/6.58 (xuntil6(s86)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22870, 22868])).
% 9.08/6.58 tff(22872,plain,
% 9.08/6.58 (until5(s87)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10046, 22871])).
% 9.08/6.58 tff(22873,plain,
% 9.08/6.58 (~node4(s87)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10050, 22, 22625])).
% 9.08/6.58 tff(22874,plain,
% 9.08/6.58 (xuntil6(s87) | (~until5(s87))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10057, 36, 22873])).
% 9.08/6.58 tff(22875,plain,
% 9.08/6.58 (xuntil6(s87)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22874, 22872])).
% 9.08/6.58 tff(22876,plain,
% 9.08/6.58 (until5(s88)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10063, 22875])).
% 9.08/6.58 tff(22877,plain,
% 9.08/6.58 (~node4(s88)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10067, 22, 22624])).
% 9.08/6.58 tff(22878,plain,
% 9.08/6.58 (xuntil6(s88) | (~until5(s88))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10074, 36, 22877])).
% 9.08/6.58 tff(22879,plain,
% 9.08/6.58 (xuntil6(s88)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22878, 22876])).
% 9.08/6.58 tff(22880,plain,
% 9.08/6.58 (until5(s89)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10080, 22879])).
% 9.08/6.58 tff(22881,plain,
% 9.08/6.58 (~node4(s89)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10084, 22, 22623])).
% 9.08/6.58 tff(22882,plain,
% 9.08/6.58 (xuntil6(s89) | (~until5(s89))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10091, 36, 22881])).
% 9.08/6.58 tff(22883,plain,
% 9.08/6.58 (xuntil6(s89)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22882, 22880])).
% 9.08/6.58 tff(22884,plain,
% 9.08/6.58 (until5(s90)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10097, 22883])).
% 9.08/6.58 tff(22885,plain,
% 9.08/6.58 (~node4(s90)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10101, 22, 22622])).
% 9.08/6.58 tff(22886,plain,
% 9.08/6.58 (xuntil6(s90) | (~until5(s90))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10108, 36, 22885])).
% 9.08/6.58 tff(22887,plain,
% 9.08/6.58 (xuntil6(s90)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22886, 22884])).
% 9.08/6.58 tff(22888,plain,
% 9.08/6.58 (until5(s91)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10114, 22887])).
% 9.08/6.58 tff(22889,plain,
% 9.08/6.58 (~node4(s91)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10118, 22, 22621])).
% 9.08/6.58 tff(22890,plain,
% 9.08/6.58 (xuntil6(s91) | (~until5(s91))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10125, 36, 22889])).
% 9.08/6.58 tff(22891,plain,
% 9.08/6.58 ($false),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22890, 22888, 22620])).
% 9.08/6.58 tff(22892,plain,(always3(s144) | xuntil6(s144)), inference(lemma,lemma(discharge,[]))).
% 9.08/6.58 tff(22893,plain,
% 9.08/6.58 (always3(s144)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22892, 22356])).
% 9.08/6.58 tff(22894,plain,
% 9.08/6.58 (always3(s145)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8391, 22893])).
% 9.08/6.58 tff(22895,plain,
% 9.08/6.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s145)) | (~m_main_v_state(s145, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s145)) | (~m_main_v_state(s145, c_busy)))),
% 9.08/6.58 inference(rewrite,[status(thm)],[])).
% 9.08/6.58 tff(22896,plain,
% 9.08/6.58 (((~m_main_v_state(s145, c_busy)) | (~always3(s145))) <=> ((~always3(s145)) | (~m_main_v_state(s145, c_busy)))),
% 9.08/6.58 inference(rewrite,[status(thm)],[])).
% 9.08/6.58 tff(22897,plain,
% 9.08/6.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s145, c_busy)) | (~always3(s145)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s145)) | (~m_main_v_state(s145, c_busy))))),
% 9.08/6.58 inference(monotonicity,[status(thm)],[22896])).
% 9.08/6.58 tff(22898,plain,
% 9.08/6.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s145, c_busy)) | (~always3(s145)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s145)) | (~m_main_v_state(s145, c_busy)))),
% 9.08/6.58 inference(transitivity,[status(thm)],[22897, 22895])).
% 9.08/6.58 tff(22899,plain,
% 9.08/6.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s145, c_busy)) | (~always3(s145)))),
% 9.08/6.58 inference(quant_inst,[status(thm)],[])).
% 9.08/6.58 tff(22900,plain,
% 9.08/6.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s145)) | (~m_main_v_state(s145, c_busy))),
% 9.08/6.58 inference(modus_ponens,[status(thm)],[22899, 22898])).
% 9.08/6.58 tff(22901,plain,
% 9.08/6.58 (~m_main_v_state(s145, c_busy)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22900, 170, 22894])).
% 9.08/6.58 tff(22902,assumption,(until5(s144)), introduced(assumption)).
% 9.08/6.58 tff(22903,plain,
% 9.08/6.58 (xuntil6(s144) | node4(s144)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8402, 36, 22902])).
% 9.08/6.58 tff(22904,plain,
% 9.08/6.58 (node4(s144)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22903, 22356])).
% 9.08/6.58 tff(22905,plain,
% 9.08/6.58 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s144) | (~node4(s144)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s144) | (~node4(s144)))),
% 9.08/6.58 inference(rewrite,[status(thm)],[])).
% 9.08/6.58 tff(22906,plain,
% 9.08/6.58 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s144) | (~node4(s144)))),
% 9.08/6.58 inference(quant_inst,[status(thm)],[])).
% 9.08/6.58 tff(22907,plain,
% 9.08/6.58 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s144) | (~node4(s144))),
% 9.08/6.58 inference(modus_ponens,[status(thm)],[22906, 22905])).
% 9.08/6.58 tff(22908,plain,
% 9.08/6.58 (m_main_v_request(s144)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22907, 154, 22904])).
% 9.08/6.58 tff(22909,plain,
% 9.08/6.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s144, s145)) | node2(s144, s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s144, s145)) | node2(s144, s145))),
% 9.08/6.58 inference(rewrite,[status(thm)],[])).
% 9.08/6.58 tff(22910,plain,
% 9.08/6.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s144, s145)) | node2(s144, s145))),
% 9.08/6.58 inference(quant_inst,[status(thm)],[])).
% 9.08/6.58 tff(22911,plain,
% 9.08/6.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s144, s145)) | node2(s144, s145)),
% 9.08/6.58 inference(modus_ponens,[status(thm)],[22910, 22909])).
% 9.08/6.58 tff(22912,plain,
% 9.08/6.58 (node2(s144, s145)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22911, 7, 8387])).
% 9.08/6.58 tff(22913,plain,
% 9.08/6.58 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s144, c_ready)) | (~node2(s144, s145)) | m_main_v_state(s145, c_busy) | (~m_main_v_request(s144)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s144, c_ready)) | (~node2(s144, s145)) | m_main_v_state(s145, c_busy) | (~m_main_v_request(s144)))),
% 9.08/6.58 inference(rewrite,[status(thm)],[])).
% 9.08/6.58 tff(22914,plain,
% 9.08/6.58 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s144, c_ready)) | (~node2(s144, s145)) | m_main_v_state(s145, c_busy) | (~m_main_v_request(s144)))),
% 9.08/6.58 inference(quant_inst,[status(thm)],[])).
% 9.08/6.58 tff(22915,plain,
% 9.08/6.58 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s144, c_ready)) | (~node2(s144, s145)) | m_main_v_state(s145, c_busy) | (~m_main_v_request(s144))),
% 9.08/6.58 inference(modus_ponens,[status(thm)],[22914, 22913])).
% 9.08/6.58 tff(22916,plain,
% 9.08/6.58 ((~m_main_v_state(s144, c_ready)) | m_main_v_state(s145, c_busy) | (~m_main_v_request(s144))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22915, 191, 22912])).
% 9.08/6.58 tff(22917,plain,
% 9.08/6.58 (~m_main_v_state(s144, c_ready)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22916, 22908, 22901])).
% 9.08/6.58 tff(22918,plain,
% 9.08/6.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s144)) | (~m_main_v_state(s144, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s144)) | (~m_main_v_state(s144, c_busy)))),
% 9.08/6.58 inference(rewrite,[status(thm)],[])).
% 9.08/6.58 tff(22919,plain,
% 9.08/6.58 (((~m_main_v_state(s144, c_busy)) | (~always3(s144))) <=> ((~always3(s144)) | (~m_main_v_state(s144, c_busy)))),
% 9.08/6.58 inference(rewrite,[status(thm)],[])).
% 9.08/6.58 tff(22920,plain,
% 9.08/6.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s144, c_busy)) | (~always3(s144)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s144)) | (~m_main_v_state(s144, c_busy))))),
% 9.08/6.58 inference(monotonicity,[status(thm)],[22919])).
% 9.08/6.58 tff(22921,plain,
% 9.08/6.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s144, c_busy)) | (~always3(s144)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s144)) | (~m_main_v_state(s144, c_busy)))),
% 9.08/6.58 inference(transitivity,[status(thm)],[22920, 22918])).
% 9.08/6.58 tff(22922,plain,
% 9.08/6.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s144, c_busy)) | (~always3(s144)))),
% 9.08/6.58 inference(quant_inst,[status(thm)],[])).
% 9.08/6.58 tff(22923,plain,
% 9.08/6.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s144)) | (~m_main_v_state(s144, c_busy))),
% 9.08/6.58 inference(modus_ponens,[status(thm)],[22922, 22921])).
% 9.08/6.58 tff(22924,plain,
% 9.08/6.58 (~m_main_v_state(s144, c_busy)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22923, 170, 22893])).
% 9.08/6.58 tff(22925,plain,
% 9.08/6.58 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s144, c_busy) | m_main_v_state(s144, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s144, c_busy) | m_main_v_state(s144, c_ready))),
% 9.08/6.58 inference(rewrite,[status(thm)],[])).
% 9.08/6.58 tff(22926,plain,
% 9.08/6.58 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s144, c_busy) | m_main_v_state(s144, c_ready))),
% 9.08/6.58 inference(quant_inst,[status(thm)],[])).
% 9.08/6.58 tff(22927,plain,
% 9.08/6.58 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s144, c_busy) | m_main_v_state(s144, c_ready)),
% 9.08/6.58 inference(modus_ponens,[status(thm)],[22926, 22925])).
% 9.08/6.58 tff(22928,plain,
% 9.08/6.58 ($false),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22927, 213, 22924, 22917])).
% 9.08/6.58 tff(22929,plain,(xuntil6(s144) | (~until5(s144))), inference(lemma,lemma(discharge,[]))).
% 9.08/6.58 tff(22930,plain,
% 9.08/6.58 (~until5(s144)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22929, 22356])).
% 9.08/6.58 tff(22931,plain,
% 9.08/6.58 (~xuntil6(s143)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8411, 22930])).
% 9.08/6.58 tff(22932,assumption,(~xuntil6(s143)), introduced(assumption)).
% 9.08/6.58 tff(22933,assumption,(~always3(s143)), introduced(assumption)).
% 9.08/6.58 tff(22934,plain,
% 9.08/6.58 (~always3(s142)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8449, 22933])).
% 9.08/6.58 tff(22935,plain,
% 9.08/6.58 (~always3(s141)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8478, 22934])).
% 9.08/6.58 tff(22936,plain,
% 9.08/6.58 (~always3(s140)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8507, 22935])).
% 9.08/6.58 tff(22937,plain,
% 9.08/6.58 (~always3(s139)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8536, 22936])).
% 9.08/6.58 tff(22938,plain,
% 9.08/6.58 (~always3(s138)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8565, 22937])).
% 9.08/6.58 tff(22939,plain,
% 9.08/6.58 (~always3(s137)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8594, 22938])).
% 9.08/6.58 tff(22940,plain,
% 9.08/6.58 (~always3(s136)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8618, 22939])).
% 9.08/6.58 tff(22941,plain,
% 9.08/6.58 (~always3(s135)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8630, 22940])).
% 9.08/6.58 tff(22942,plain,
% 9.08/6.58 (~always3(s134)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8642, 22941])).
% 9.08/6.58 tff(22943,plain,
% 9.08/6.58 (~always3(s133)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8654, 22942])).
% 9.08/6.58 tff(22944,plain,
% 9.08/6.58 (~node4(s133)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10832, 22, 22943])).
% 9.08/6.58 tff(22945,plain,
% 9.08/6.58 (~always3(s132)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8666, 22943])).
% 9.08/6.58 tff(22946,plain,
% 9.08/6.58 (~node4(s132)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10815, 22, 22945])).
% 9.08/6.58 tff(22947,plain,
% 9.08/6.58 (xuntil6(s132) | node4(s132)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10822, 36, 22355])).
% 9.08/6.58 tff(22948,plain,
% 9.08/6.58 (xuntil6(s132)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22947, 22946])).
% 9.08/6.58 tff(22949,plain,
% 9.08/6.58 (until5(s133)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10828, 22948])).
% 9.08/6.58 tff(22950,plain,
% 9.08/6.58 (xuntil6(s133)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10839, 36, 22949, 22944])).
% 9.08/6.58 tff(22951,plain,
% 9.08/6.58 (until5(s134)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10845, 22950])).
% 9.08/6.58 tff(22952,plain,
% 9.08/6.58 (~node4(s134)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10849, 22, 22942])).
% 9.08/6.58 tff(22953,plain,
% 9.08/6.58 (xuntil6(s134) | (~until5(s134))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10856, 36, 22952])).
% 9.08/6.58 tff(22954,plain,
% 9.08/6.58 (xuntil6(s134)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22953, 22951])).
% 9.08/6.58 tff(22955,plain,
% 9.08/6.58 (until5(s135)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10862, 22954])).
% 9.08/6.58 tff(22956,plain,
% 9.08/6.58 (~node4(s135)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10866, 22, 22941])).
% 9.08/6.58 tff(22957,plain,
% 9.08/6.58 (xuntil6(s135) | (~until5(s135))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10873, 36, 22956])).
% 9.08/6.58 tff(22958,plain,
% 9.08/6.58 (xuntil6(s135)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22957, 22955])).
% 9.08/6.58 tff(22959,plain,
% 9.08/6.58 (until5(s136)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10879, 22958])).
% 9.08/6.58 tff(22960,plain,
% 9.08/6.58 (~node4(s136)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10883, 22, 22940])).
% 9.08/6.58 tff(22961,plain,
% 9.08/6.58 (xuntil6(s136) | (~until5(s136))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10890, 36, 22960])).
% 9.08/6.58 tff(22962,plain,
% 9.08/6.58 (xuntil6(s136)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22961, 22959])).
% 9.08/6.58 tff(22963,plain,
% 9.08/6.58 (until5(s137)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[10896, 22962])).
% 9.08/6.58 tff(22964,plain,
% 9.08/6.58 (~node4(s137)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8598, 22, 22939])).
% 9.08/6.58 tff(22965,plain,
% 9.08/6.58 (xuntil6(s137) | (~until5(s137))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8605, 36, 22964])).
% 9.08/6.58 tff(22966,plain,
% 9.08/6.58 (xuntil6(s137)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22965, 22963])).
% 9.08/6.58 tff(22967,plain,
% 9.08/6.58 (until5(s138)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8585, 22966])).
% 9.08/6.58 tff(22968,plain,
% 9.08/6.58 (~node4(s138)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8569, 22, 22938])).
% 9.08/6.58 tff(22969,plain,
% 9.08/6.58 (xuntil6(s138) | (~until5(s138))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8576, 36, 22968])).
% 9.08/6.58 tff(22970,plain,
% 9.08/6.58 (xuntil6(s138)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22969, 22967])).
% 9.08/6.58 tff(22971,plain,
% 9.08/6.58 (until5(s139)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8556, 22970])).
% 9.08/6.58 tff(22972,plain,
% 9.08/6.58 (~node4(s139)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8540, 22, 22937])).
% 9.08/6.58 tff(22973,plain,
% 9.08/6.58 (xuntil6(s139) | (~until5(s139))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8547, 36, 22972])).
% 9.08/6.58 tff(22974,plain,
% 9.08/6.58 (xuntil6(s139)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22973, 22971])).
% 9.08/6.58 tff(22975,plain,
% 9.08/6.58 (until5(s140)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8527, 22974])).
% 9.08/6.58 tff(22976,plain,
% 9.08/6.58 (~node4(s140)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8511, 22, 22936])).
% 9.08/6.58 tff(22977,plain,
% 9.08/6.58 (xuntil6(s140) | (~until5(s140))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8518, 36, 22976])).
% 9.08/6.58 tff(22978,plain,
% 9.08/6.58 (xuntil6(s140)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22977, 22975])).
% 9.08/6.58 tff(22979,plain,
% 9.08/6.58 (until5(s141)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8498, 22978])).
% 9.08/6.58 tff(22980,plain,
% 9.08/6.58 (~node4(s141)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8482, 22, 22935])).
% 9.08/6.58 tff(22981,plain,
% 9.08/6.58 (xuntil6(s141) | (~until5(s141))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8489, 36, 22980])).
% 9.08/6.58 tff(22982,plain,
% 9.08/6.58 (xuntil6(s141)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22981, 22979])).
% 9.08/6.58 tff(22983,plain,
% 9.08/6.58 (until5(s142)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8469, 22982])).
% 9.08/6.58 tff(22984,plain,
% 9.08/6.58 (~node4(s142)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8453, 22, 22934])).
% 9.08/6.58 tff(22985,plain,
% 9.08/6.58 (xuntil6(s142) | (~until5(s142))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8460, 36, 22984])).
% 9.08/6.58 tff(22986,plain,
% 9.08/6.58 (xuntil6(s142)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22985, 22983])).
% 9.08/6.58 tff(22987,plain,
% 9.08/6.58 (until5(s143)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8440, 22986])).
% 9.08/6.58 tff(22988,plain,
% 9.08/6.58 (node4(s143) | (~until5(s143))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8431, 36, 22932])).
% 9.08/6.58 tff(22989,plain,
% 9.08/6.58 (node4(s143)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22988, 22987])).
% 9.08/6.58 tff(22990,plain,
% 9.08/6.58 ($false),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[8424, 22, 22933, 22989])).
% 9.08/6.58 tff(22991,plain,(always3(s143) | xuntil6(s143) | (~until5(s132))), inference(lemma,lemma(discharge,[]))).
% 9.08/6.58 tff(22992,plain,
% 9.08/6.58 (always3(s143)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22991, 22355, 22932])).
% 9.08/6.58 tff(22993,plain,
% 9.08/6.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s143)) | (~m_main_v_state(s143, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s143)) | (~m_main_v_state(s143, c_busy)))),
% 9.08/6.58 inference(rewrite,[status(thm)],[])).
% 9.08/6.58 tff(22994,plain,
% 9.08/6.58 (((~m_main_v_state(s143, c_busy)) | (~always3(s143))) <=> ((~always3(s143)) | (~m_main_v_state(s143, c_busy)))),
% 9.08/6.58 inference(rewrite,[status(thm)],[])).
% 9.08/6.58 tff(22995,plain,
% 9.08/6.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s143, c_busy)) | (~always3(s143)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s143)) | (~m_main_v_state(s143, c_busy))))),
% 9.08/6.58 inference(monotonicity,[status(thm)],[22994])).
% 9.08/6.58 tff(22996,plain,
% 9.08/6.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s143, c_busy)) | (~always3(s143)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s143)) | (~m_main_v_state(s143, c_busy)))),
% 9.08/6.58 inference(transitivity,[status(thm)],[22995, 22993])).
% 9.08/6.58 tff(22997,plain,
% 9.08/6.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s143, c_busy)) | (~always3(s143)))),
% 9.08/6.58 inference(quant_inst,[status(thm)],[])).
% 9.08/6.58 tff(22998,plain,
% 9.08/6.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s143)) | (~m_main_v_state(s143, c_busy))),
% 9.08/6.58 inference(modus_ponens,[status(thm)],[22997, 22996])).
% 9.08/6.58 tff(22999,plain,
% 9.08/6.58 (~m_main_v_state(s143, c_busy)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[22998, 170, 22992])).
% 9.08/6.58 tff(23000,assumption,(~m_main_v_state(s144, c_busy)), introduced(assumption)).
% 9.08/6.58 tff(23001,plain,
% 9.08/6.58 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s143, c_busy) | m_main_v_state(s143, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s143, c_busy) | m_main_v_state(s143, c_ready))),
% 9.08/6.58 inference(rewrite,[status(thm)],[])).
% 9.08/6.58 tff(23002,plain,
% 9.08/6.58 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s143, c_busy) | m_main_v_state(s143, c_ready))),
% 9.08/6.58 inference(quant_inst,[status(thm)],[])).
% 9.08/6.58 tff(23003,plain,
% 9.08/6.58 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s143, c_busy) | m_main_v_state(s143, c_ready)),
% 9.08/6.58 inference(modus_ponens,[status(thm)],[23002, 23001])).
% 9.08/6.58 tff(23004,plain,
% 9.08/6.58 (m_main_v_state(s143, c_ready)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[23003, 213, 22999])).
% 9.08/6.58 tff(23005,plain,
% 9.08/6.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s143, s144)) | node2(s143, s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s143, s144)) | node2(s143, s144))),
% 9.08/6.58 inference(rewrite,[status(thm)],[])).
% 9.08/6.58 tff(23006,plain,
% 9.08/6.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s143, s144)) | node2(s143, s144))),
% 9.08/6.58 inference(quant_inst,[status(thm)],[])).
% 9.08/6.58 tff(23007,plain,
% 9.08/6.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s143, s144)) | node2(s143, s144)),
% 9.08/6.58 inference(modus_ponens,[status(thm)],[23006, 23005])).
% 9.08/6.58 tff(23008,plain,
% 9.08/6.58 (node2(s143, s144)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[23007, 7, 8416])).
% 9.08/6.58 tff(23009,plain,
% 9.08/6.58 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s143, c_ready)) | (~node2(s143, s144)) | m_main_v_state(s144, c_busy) | (~m_main_v_request(s143)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s143, c_ready)) | (~node2(s143, s144)) | m_main_v_state(s144, c_busy) | (~m_main_v_request(s143)))),
% 9.08/6.58 inference(rewrite,[status(thm)],[])).
% 9.08/6.58 tff(23010,plain,
% 9.08/6.58 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s143, c_ready)) | (~node2(s143, s144)) | m_main_v_state(s144, c_busy) | (~m_main_v_request(s143)))),
% 9.08/6.58 inference(quant_inst,[status(thm)],[])).
% 9.08/6.58 tff(23011,plain,
% 9.08/6.58 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s143, c_ready)) | (~node2(s143, s144)) | m_main_v_state(s144, c_busy) | (~m_main_v_request(s143))),
% 9.08/6.58 inference(modus_ponens,[status(thm)],[23010, 23009])).
% 9.08/6.58 tff(23012,plain,
% 9.08/6.58 ((~m_main_v_state(s143, c_ready)) | m_main_v_state(s144, c_busy) | (~m_main_v_request(s143))),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[23011, 191, 23008])).
% 9.08/6.58 tff(23013,plain,
% 9.08/6.58 (~m_main_v_request(s143)),
% 9.08/6.58 inference(unit_resolution,[status(thm)],[23012, 23004, 23000])).
% 9.08/6.58 tff(23014,plain,
% 9.08/6.58 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s143) | (~node4(s143)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s143) | (~node4(s143)))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23015,plain,
% 9.08/6.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s143) | (~node4(s143)))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23016,plain,
% 9.08/6.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s143) | (~node4(s143))),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23015, 23014])).
% 9.08/6.59 tff(23017,plain,
% 9.08/6.59 (~node4(s143)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23016, 154, 23013])).
% 9.08/6.59 tff(23018,plain,
% 9.08/6.59 (~until5(s143)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[22988, 23017])).
% 9.08/6.59 tff(23019,plain,
% 9.08/6.59 (~xuntil6(s142)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8440, 23018])).
% 9.08/6.59 tff(23020,assumption,(~xuntil6(s142)), introduced(assumption)).
% 9.08/6.59 tff(23021,assumption,(until5(s141)), introduced(assumption)).
% 9.08/6.59 tff(23022,assumption,(~always3(s142)), introduced(assumption)).
% 9.08/6.59 tff(23023,plain,
% 9.08/6.59 (~always3(s141)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8478, 23022])).
% 9.08/6.59 tff(23024,plain,
% 9.08/6.59 (~node4(s141)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8482, 22, 23023])).
% 9.08/6.59 tff(23025,plain,
% 9.08/6.59 (xuntil6(s141) | node4(s141)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8489, 36, 23021])).
% 9.08/6.59 tff(23026,plain,
% 9.08/6.59 (xuntil6(s141)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23025, 23024])).
% 9.08/6.59 tff(23027,plain,
% 9.08/6.59 (until5(s142)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8469, 23026])).
% 9.08/6.59 tff(23028,plain,
% 9.08/6.59 (node4(s142) | (~until5(s142))),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8460, 36, 23020])).
% 9.08/6.59 tff(23029,plain,
% 9.08/6.59 (node4(s142)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23028, 23027])).
% 9.08/6.59 tff(23030,plain,
% 9.08/6.59 ($false),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8453, 22, 23022, 23029])).
% 9.08/6.59 tff(23031,plain,(always3(s142) | xuntil6(s142) | (~until5(s141))), inference(lemma,lemma(discharge,[]))).
% 9.08/6.59 tff(23032,plain,
% 9.08/6.59 (always3(s142)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23031, 23021, 23020])).
% 9.08/6.59 tff(23033,plain,
% 9.08/6.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s142)) | (~m_main_v_state(s142, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s142)) | (~m_main_v_state(s142, c_busy)))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23034,plain,
% 9.08/6.59 (((~m_main_v_state(s142, c_busy)) | (~always3(s142))) <=> ((~always3(s142)) | (~m_main_v_state(s142, c_busy)))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23035,plain,
% 9.08/6.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s142, c_busy)) | (~always3(s142)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s142)) | (~m_main_v_state(s142, c_busy))))),
% 9.08/6.59 inference(monotonicity,[status(thm)],[23034])).
% 9.08/6.59 tff(23036,plain,
% 9.08/6.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s142, c_busy)) | (~always3(s142)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s142)) | (~m_main_v_state(s142, c_busy)))),
% 9.08/6.59 inference(transitivity,[status(thm)],[23035, 23033])).
% 9.08/6.59 tff(23037,plain,
% 9.08/6.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s142, c_busy)) | (~always3(s142)))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23038,plain,
% 9.08/6.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s142)) | (~m_main_v_state(s142, c_busy))),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23037, 23036])).
% 9.08/6.59 tff(23039,plain,
% 9.08/6.59 (~m_main_v_state(s142, c_busy)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23038, 170, 23032])).
% 9.08/6.59 tff(23040,assumption,(~m_main_v_state(s143, c_busy)), introduced(assumption)).
% 9.08/6.59 tff(23041,plain,
% 9.08/6.59 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s142, c_busy) | m_main_v_state(s142, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s142, c_busy) | m_main_v_state(s142, c_ready))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23042,plain,
% 9.08/6.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s142, c_busy) | m_main_v_state(s142, c_ready))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23043,plain,
% 9.08/6.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s142, c_busy) | m_main_v_state(s142, c_ready)),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23042, 23041])).
% 9.08/6.59 tff(23044,plain,
% 9.08/6.59 (m_main_v_state(s142, c_ready)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23043, 213, 23039])).
% 9.08/6.59 tff(23045,plain,
% 9.08/6.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s142, s143)) | node2(s142, s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s142, s143)) | node2(s142, s143))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23046,plain,
% 9.08/6.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s142, s143)) | node2(s142, s143))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23047,plain,
% 9.08/6.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s142, s143)) | node2(s142, s143)),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23046, 23045])).
% 9.08/6.59 tff(23048,plain,
% 9.08/6.59 (node2(s142, s143)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23047, 7, 8445])).
% 9.08/6.59 tff(23049,plain,
% 9.08/6.59 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s142, c_ready)) | (~node2(s142, s143)) | m_main_v_state(s143, c_busy) | (~m_main_v_request(s142)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s142, c_ready)) | (~node2(s142, s143)) | m_main_v_state(s143, c_busy) | (~m_main_v_request(s142)))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23050,plain,
% 9.08/6.59 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s142, c_ready)) | (~node2(s142, s143)) | m_main_v_state(s143, c_busy) | (~m_main_v_request(s142)))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23051,plain,
% 9.08/6.59 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s142, c_ready)) | (~node2(s142, s143)) | m_main_v_state(s143, c_busy) | (~m_main_v_request(s142))),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23050, 23049])).
% 9.08/6.59 tff(23052,plain,
% 9.08/6.59 ((~m_main_v_state(s142, c_ready)) | m_main_v_state(s143, c_busy) | (~m_main_v_request(s142))),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23051, 191, 23048])).
% 9.08/6.59 tff(23053,plain,
% 9.08/6.59 (~m_main_v_request(s142)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23052, 23044, 23040])).
% 9.08/6.59 tff(23054,plain,
% 9.08/6.59 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s142) | (~node4(s142)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s142) | (~node4(s142)))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23055,plain,
% 9.08/6.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s142) | (~node4(s142)))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23056,plain,
% 9.08/6.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s142) | (~node4(s142))),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23055, 23054])).
% 9.08/6.59 tff(23057,plain,
% 9.08/6.59 (~node4(s142)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23056, 154, 23053])).
% 9.08/6.59 tff(23058,plain,
% 9.08/6.59 (~until5(s142)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23028, 23057])).
% 9.08/6.59 tff(23059,plain,
% 9.08/6.59 (~xuntil6(s141)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8469, 23058])).
% 9.08/6.59 tff(23060,plain,
% 9.08/6.59 (node4(s141)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23025, 23059])).
% 9.08/6.59 tff(23061,plain,
% 9.08/6.59 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s141) | (~node4(s141)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s141) | (~node4(s141)))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23062,plain,
% 9.08/6.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s141) | (~node4(s141)))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23063,plain,
% 9.08/6.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s141) | (~node4(s141))),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23062, 23061])).
% 9.08/6.59 tff(23064,plain,
% 9.08/6.59 (m_main_v_request(s141)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23063, 154, 23060])).
% 9.08/6.59 tff(23065,plain,
% 9.08/6.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s141, s142)) | node2(s141, s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s141, s142)) | node2(s141, s142))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23066,plain,
% 9.08/6.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s141, s142)) | node2(s141, s142))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23067,plain,
% 9.08/6.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s141, s142)) | node2(s141, s142)),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23066, 23065])).
% 9.08/6.59 tff(23068,plain,
% 9.08/6.59 (node2(s141, s142)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23067, 7, 8474])).
% 9.08/6.59 tff(23069,plain,
% 9.08/6.59 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s141, c_ready)) | (~node2(s141, s142)) | m_main_v_state(s142, c_busy) | (~m_main_v_request(s141)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s141, c_ready)) | (~node2(s141, s142)) | m_main_v_state(s142, c_busy) | (~m_main_v_request(s141)))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23070,plain,
% 9.08/6.59 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s141, c_ready)) | (~node2(s141, s142)) | m_main_v_state(s142, c_busy) | (~m_main_v_request(s141)))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23071,plain,
% 9.08/6.59 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s141, c_ready)) | (~node2(s141, s142)) | m_main_v_state(s142, c_busy) | (~m_main_v_request(s141))),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23070, 23069])).
% 9.08/6.59 tff(23072,plain,
% 9.08/6.59 ((~m_main_v_state(s141, c_ready)) | m_main_v_state(s142, c_busy) | (~m_main_v_request(s141))),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23071, 191, 23068])).
% 9.08/6.59 tff(23073,plain,
% 9.08/6.59 (~m_main_v_state(s141, c_ready)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23072, 23064, 23039])).
% 9.08/6.59 tff(23074,plain,
% 9.08/6.59 (always3(s141)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8482, 22, 23060])).
% 9.08/6.59 tff(23075,plain,
% 9.08/6.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s141)) | (~m_main_v_state(s141, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s141)) | (~m_main_v_state(s141, c_busy)))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23076,plain,
% 9.08/6.59 (((~m_main_v_state(s141, c_busy)) | (~always3(s141))) <=> ((~always3(s141)) | (~m_main_v_state(s141, c_busy)))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23077,plain,
% 9.08/6.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s141, c_busy)) | (~always3(s141)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s141)) | (~m_main_v_state(s141, c_busy))))),
% 9.08/6.59 inference(monotonicity,[status(thm)],[23076])).
% 9.08/6.59 tff(23078,plain,
% 9.08/6.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s141, c_busy)) | (~always3(s141)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s141)) | (~m_main_v_state(s141, c_busy)))),
% 9.08/6.59 inference(transitivity,[status(thm)],[23077, 23075])).
% 9.08/6.59 tff(23079,plain,
% 9.08/6.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s141, c_busy)) | (~always3(s141)))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23080,plain,
% 9.08/6.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s141)) | (~m_main_v_state(s141, c_busy))),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23079, 23078])).
% 9.08/6.59 tff(23081,plain,
% 9.08/6.59 (~m_main_v_state(s141, c_busy)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23080, 170, 23074])).
% 9.08/6.59 tff(23082,plain,
% 9.08/6.59 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s141, c_busy) | m_main_v_state(s141, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s141, c_busy) | m_main_v_state(s141, c_ready))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23083,plain,
% 9.08/6.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s141, c_busy) | m_main_v_state(s141, c_ready))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23084,plain,
% 9.08/6.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s141, c_busy) | m_main_v_state(s141, c_ready)),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23083, 23082])).
% 9.08/6.59 tff(23085,plain,
% 9.08/6.59 ($false),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23084, 213, 23081, 23073])).
% 9.08/6.59 tff(23086,plain,((~until5(s141)) | xuntil6(s142) | m_main_v_state(s143, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.08/6.59 tff(23087,plain,
% 9.08/6.59 (~until5(s141)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23086, 23019, 22999])).
% 9.08/6.59 tff(23088,plain,
% 9.08/6.59 (~xuntil6(s140)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8498, 23087])).
% 9.08/6.59 tff(23089,assumption,(~always3(s140)), introduced(assumption)).
% 9.08/6.59 tff(23090,plain,
% 9.08/6.59 (~always3(s139)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8536, 23089])).
% 9.08/6.59 tff(23091,plain,
% 9.08/6.59 (~node4(s139)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8540, 22, 23090])).
% 9.08/6.59 tff(23092,plain,
% 9.08/6.59 (~node4(s140)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8511, 22, 23089])).
% 9.08/6.59 tff(23093,assumption,(~xuntil6(s140)), introduced(assumption)).
% 9.08/6.59 tff(23094,plain,
% 9.08/6.59 (node4(s140) | (~until5(s140))),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8518, 36, 23093])).
% 9.08/6.59 tff(23095,plain,
% 9.08/6.59 (~until5(s140)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23094, 23092])).
% 9.08/6.59 tff(23096,plain,
% 9.08/6.59 (~xuntil6(s139)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8527, 23095])).
% 9.08/6.59 tff(23097,plain,
% 9.08/6.59 (~until5(s139)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8547, 36, 23096, 23091])).
% 9.08/6.59 tff(23098,plain,
% 9.08/6.59 (~xuntil6(s138)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8556, 23097])).
% 9.08/6.59 tff(23099,plain,
% 9.08/6.59 (~always3(s138)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8565, 23090])).
% 9.08/6.59 tff(23100,plain,
% 9.08/6.59 (~node4(s138)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8569, 22, 23099])).
% 9.08/6.59 tff(23101,plain,
% 9.08/6.59 (xuntil6(s138) | (~until5(s138))),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8576, 36, 23100])).
% 9.08/6.59 tff(23102,plain,
% 9.08/6.59 (~until5(s138)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23101, 23098])).
% 9.08/6.59 tff(23103,plain,
% 9.08/6.59 (~xuntil6(s137)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8585, 23102])).
% 9.08/6.59 tff(23104,plain,
% 9.08/6.59 (~always3(s137)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8594, 23099])).
% 9.08/6.59 tff(23105,plain,
% 9.08/6.59 (~node4(s137)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8598, 22, 23104])).
% 9.08/6.59 tff(23106,plain,
% 9.08/6.59 (xuntil6(s137) | (~until5(s137))),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8605, 36, 23105])).
% 9.08/6.59 tff(23107,plain,
% 9.08/6.59 (~until5(s137)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23106, 23103])).
% 9.08/6.59 tff(23108,plain,
% 9.08/6.59 (~xuntil6(s136)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[10896, 23107])).
% 9.08/6.59 tff(23109,plain,
% 9.08/6.59 (~always3(s136)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8618, 23104])).
% 9.08/6.59 tff(23110,plain,
% 9.08/6.59 (~always3(s135)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8630, 23109])).
% 9.08/6.59 tff(23111,plain,
% 9.08/6.59 (~always3(s134)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8642, 23110])).
% 9.08/6.59 tff(23112,plain,
% 9.08/6.59 (~always3(s133)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8654, 23111])).
% 9.08/6.59 tff(23113,plain,
% 9.08/6.59 (~node4(s133)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[10832, 22, 23112])).
% 9.08/6.59 tff(23114,plain,
% 9.08/6.59 (~always3(s132)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8666, 23112])).
% 9.08/6.59 tff(23115,plain,
% 9.08/6.59 (~node4(s132)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[10815, 22, 23114])).
% 9.08/6.59 tff(23116,plain,
% 9.08/6.59 (xuntil6(s132)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[22947, 23115])).
% 9.08/6.59 tff(23117,plain,
% 9.08/6.59 (until5(s133)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[10828, 23116])).
% 9.08/6.59 tff(23118,plain,
% 9.08/6.59 (xuntil6(s133)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[10839, 36, 23117, 23113])).
% 9.08/6.59 tff(23119,plain,
% 9.08/6.59 (until5(s134)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[10845, 23118])).
% 9.08/6.59 tff(23120,plain,
% 9.08/6.59 (~node4(s134)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[10849, 22, 23111])).
% 9.08/6.59 tff(23121,plain,
% 9.08/6.59 (xuntil6(s134) | (~until5(s134))),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[10856, 36, 23120])).
% 9.08/6.59 tff(23122,plain,
% 9.08/6.59 (xuntil6(s134)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23121, 23119])).
% 9.08/6.59 tff(23123,plain,
% 9.08/6.59 (until5(s135)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[10862, 23122])).
% 9.08/6.59 tff(23124,plain,
% 9.08/6.59 (~node4(s135)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[10866, 22, 23110])).
% 9.08/6.59 tff(23125,plain,
% 9.08/6.59 (xuntil6(s135) | (~until5(s135))),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[10873, 36, 23124])).
% 9.08/6.59 tff(23126,plain,
% 9.08/6.59 (xuntil6(s135)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23125, 23123])).
% 9.08/6.59 tff(23127,plain,
% 9.08/6.59 (until5(s136)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[10879, 23126])).
% 9.08/6.59 tff(23128,plain,
% 9.08/6.59 (~node4(s136)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[10883, 22, 23109])).
% 9.08/6.59 tff(23129,plain,
% 9.08/6.59 (xuntil6(s136) | (~until5(s136))),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[10890, 36, 23128])).
% 9.08/6.59 tff(23130,plain,
% 9.08/6.59 ($false),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23129, 23127, 23108])).
% 9.08/6.59 tff(23131,plain,(always3(s140) | (~until5(s132)) | xuntil6(s140)), inference(lemma,lemma(discharge,[]))).
% 9.08/6.59 tff(23132,plain,
% 9.08/6.59 (always3(s140)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23131, 22355, 23088])).
% 9.08/6.59 tff(23133,plain,
% 9.08/6.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s140)) | (~m_main_v_state(s140, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s140)) | (~m_main_v_state(s140, c_busy)))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23134,plain,
% 9.08/6.59 (((~m_main_v_state(s140, c_busy)) | (~always3(s140))) <=> ((~always3(s140)) | (~m_main_v_state(s140, c_busy)))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23135,plain,
% 9.08/6.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s140, c_busy)) | (~always3(s140)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s140)) | (~m_main_v_state(s140, c_busy))))),
% 9.08/6.59 inference(monotonicity,[status(thm)],[23134])).
% 9.08/6.59 tff(23136,plain,
% 9.08/6.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s140, c_busy)) | (~always3(s140)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s140)) | (~m_main_v_state(s140, c_busy)))),
% 9.08/6.59 inference(transitivity,[status(thm)],[23135, 23133])).
% 9.08/6.59 tff(23137,plain,
% 9.08/6.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s140, c_busy)) | (~always3(s140)))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23138,plain,
% 9.08/6.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s140)) | (~m_main_v_state(s140, c_busy))),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23137, 23136])).
% 9.08/6.59 tff(23139,plain,
% 9.08/6.59 (~m_main_v_state(s140, c_busy)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23138, 170, 23132])).
% 9.08/6.59 tff(23140,plain,
% 9.08/6.59 (always3(s141)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8507, 23132])).
% 9.08/6.59 tff(23141,plain,
% 9.08/6.59 (~m_main_v_state(s141, c_busy)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23080, 170, 23140])).
% 9.08/6.59 tff(23142,plain,
% 9.08/6.59 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s140, c_busy) | m_main_v_state(s140, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s140, c_busy) | m_main_v_state(s140, c_ready))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23143,plain,
% 9.08/6.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s140, c_busy) | m_main_v_state(s140, c_ready))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23144,plain,
% 9.08/6.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s140, c_busy) | m_main_v_state(s140, c_ready)),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23143, 23142])).
% 9.08/6.59 tff(23145,plain,
% 9.08/6.59 (m_main_v_state(s140, c_ready)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23144, 213, 23139])).
% 9.08/6.59 tff(23146,plain,
% 9.08/6.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s140, s141)) | node2(s140, s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s140, s141)) | node2(s140, s141))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23147,plain,
% 9.08/6.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s140, s141)) | node2(s140, s141))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23148,plain,
% 9.08/6.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s140, s141)) | node2(s140, s141)),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23147, 23146])).
% 9.08/6.59 tff(23149,plain,
% 9.08/6.59 (node2(s140, s141)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23148, 7, 8503])).
% 9.08/6.59 tff(23150,plain,
% 9.08/6.59 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s140, c_ready)) | (~node2(s140, s141)) | m_main_v_state(s141, c_busy) | (~m_main_v_request(s140)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s140, c_ready)) | (~node2(s140, s141)) | m_main_v_state(s141, c_busy) | (~m_main_v_request(s140)))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23151,plain,
% 9.08/6.59 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s140, c_ready)) | (~node2(s140, s141)) | m_main_v_state(s141, c_busy) | (~m_main_v_request(s140)))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23152,plain,
% 9.08/6.59 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s140, c_ready)) | (~node2(s140, s141)) | m_main_v_state(s141, c_busy) | (~m_main_v_request(s140))),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23151, 23150])).
% 9.08/6.59 tff(23153,plain,
% 9.08/6.59 ((~m_main_v_state(s140, c_ready)) | m_main_v_state(s141, c_busy) | (~m_main_v_request(s140))),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23152, 191, 23149])).
% 9.08/6.59 tff(23154,plain,
% 9.08/6.59 (~m_main_v_request(s140)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23153, 23145, 23141])).
% 9.08/6.59 tff(23155,plain,
% 9.08/6.59 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s140) | (~node4(s140)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s140) | (~node4(s140)))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23156,plain,
% 9.08/6.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s140) | (~node4(s140)))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23157,plain,
% 9.08/6.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s140) | (~node4(s140))),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23156, 23155])).
% 9.08/6.59 tff(23158,plain,
% 9.08/6.59 (~node4(s140)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23157, 154, 23154])).
% 9.08/6.59 tff(23159,plain,
% 9.08/6.59 (node4(s140) | (~until5(s140))),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8518, 36, 23088])).
% 9.08/6.59 tff(23160,plain,
% 9.08/6.59 (~until5(s140)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23159, 23158])).
% 9.08/6.59 tff(23161,plain,
% 9.08/6.59 (~xuntil6(s139)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8527, 23160])).
% 9.08/6.59 tff(23162,assumption,(~xuntil6(s139)), introduced(assumption)).
% 9.08/6.59 tff(23163,assumption,(until5(s136)), introduced(assumption)).
% 9.08/6.59 tff(23164,assumption,(~always3(s139)), introduced(assumption)).
% 9.08/6.59 tff(23165,plain,
% 9.08/6.59 (~always3(s138)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8565, 23164])).
% 9.08/6.59 tff(23166,plain,
% 9.08/6.59 (~always3(s137)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8594, 23165])).
% 9.08/6.59 tff(23167,plain,
% 9.08/6.59 (~node4(s137)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8598, 22, 23166])).
% 9.08/6.59 tff(23168,plain,
% 9.08/6.59 (~always3(s136)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8618, 23166])).
% 9.08/6.59 tff(23169,plain,
% 9.08/6.59 (~node4(s136)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[10883, 22, 23168])).
% 9.08/6.59 tff(23170,plain,
% 9.08/6.59 (xuntil6(s136) | node4(s136)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[10890, 36, 23163])).
% 9.08/6.59 tff(23171,plain,
% 9.08/6.59 (xuntil6(s136)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23170, 23169])).
% 9.08/6.59 tff(23172,plain,
% 9.08/6.59 (until5(s137)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[10896, 23171])).
% 9.08/6.59 tff(23173,plain,
% 9.08/6.59 (xuntil6(s137)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8605, 36, 23172, 23167])).
% 9.08/6.59 tff(23174,plain,
% 9.08/6.59 (until5(s138)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8585, 23173])).
% 9.08/6.59 tff(23175,plain,
% 9.08/6.59 (~node4(s138)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8569, 22, 23165])).
% 9.08/6.59 tff(23176,plain,
% 9.08/6.59 (xuntil6(s138) | (~until5(s138))),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8576, 36, 23175])).
% 9.08/6.59 tff(23177,plain,
% 9.08/6.59 (xuntil6(s138)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23176, 23174])).
% 9.08/6.59 tff(23178,plain,
% 9.08/6.59 (until5(s139)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8556, 23177])).
% 9.08/6.59 tff(23179,plain,
% 9.08/6.59 (node4(s139) | (~until5(s139))),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8547, 36, 23162])).
% 9.08/6.59 tff(23180,plain,
% 9.08/6.59 (node4(s139)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23179, 23178])).
% 9.08/6.59 tff(23181,plain,
% 9.08/6.59 ($false),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8540, 22, 23164, 23180])).
% 9.08/6.59 tff(23182,plain,(always3(s139) | xuntil6(s139) | (~until5(s136))), inference(lemma,lemma(discharge,[]))).
% 9.08/6.59 tff(23183,plain,
% 9.08/6.59 (always3(s139)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23182, 23163, 23162])).
% 9.08/6.59 tff(23184,plain,
% 9.08/6.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s139)) | (~m_main_v_state(s139, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s139)) | (~m_main_v_state(s139, c_busy)))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23185,plain,
% 9.08/6.59 (((~m_main_v_state(s139, c_busy)) | (~always3(s139))) <=> ((~always3(s139)) | (~m_main_v_state(s139, c_busy)))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23186,plain,
% 9.08/6.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s139, c_busy)) | (~always3(s139)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s139)) | (~m_main_v_state(s139, c_busy))))),
% 9.08/6.59 inference(monotonicity,[status(thm)],[23185])).
% 9.08/6.59 tff(23187,plain,
% 9.08/6.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s139, c_busy)) | (~always3(s139)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s139)) | (~m_main_v_state(s139, c_busy)))),
% 9.08/6.59 inference(transitivity,[status(thm)],[23186, 23184])).
% 9.08/6.59 tff(23188,plain,
% 9.08/6.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s139, c_busy)) | (~always3(s139)))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23189,plain,
% 9.08/6.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s139)) | (~m_main_v_state(s139, c_busy))),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23188, 23187])).
% 9.08/6.59 tff(23190,plain,
% 9.08/6.59 (~m_main_v_state(s139, c_busy)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23189, 170, 23183])).
% 9.08/6.59 tff(23191,assumption,(~m_main_v_state(s139, c_busy)), introduced(assumption)).
% 9.08/6.59 tff(23192,assumption,(node4(s138)), introduced(assumption)).
% 9.08/6.59 tff(23193,plain,
% 9.08/6.59 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s138) | (~node4(s138)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s138) | (~node4(s138)))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23194,plain,
% 9.08/6.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s138) | (~node4(s138)))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23195,plain,
% 9.08/6.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s138) | (~node4(s138))),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23194, 23193])).
% 9.08/6.59 tff(23196,plain,
% 9.08/6.59 (m_main_v_request(s138)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23195, 154, 23192])).
% 9.08/6.59 tff(23197,plain,
% 9.08/6.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s138, s139)) | node2(s138, s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s138, s139)) | node2(s138, s139))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23198,plain,
% 9.08/6.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s138, s139)) | node2(s138, s139))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23199,plain,
% 9.08/6.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s138, s139)) | node2(s138, s139)),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23198, 23197])).
% 9.08/6.59 tff(23200,plain,
% 9.08/6.59 (node2(s138, s139)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23199, 7, 8561])).
% 9.08/6.59 tff(23201,plain,
% 9.08/6.59 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s138, c_ready)) | (~node2(s138, s139)) | m_main_v_state(s139, c_busy) | (~m_main_v_request(s138)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s138, c_ready)) | (~node2(s138, s139)) | m_main_v_state(s139, c_busy) | (~m_main_v_request(s138)))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23202,plain,
% 9.08/6.59 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s138, c_ready)) | (~node2(s138, s139)) | m_main_v_state(s139, c_busy) | (~m_main_v_request(s138)))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23203,plain,
% 9.08/6.59 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s138, c_ready)) | (~node2(s138, s139)) | m_main_v_state(s139, c_busy) | (~m_main_v_request(s138))),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23202, 23201])).
% 9.08/6.59 tff(23204,plain,
% 9.08/6.59 ((~m_main_v_state(s138, c_ready)) | m_main_v_state(s139, c_busy) | (~m_main_v_request(s138))),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23203, 191, 23200])).
% 9.08/6.59 tff(23205,plain,
% 9.08/6.59 (~m_main_v_state(s138, c_ready)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23204, 23196, 23191])).
% 9.08/6.59 tff(23206,plain,
% 9.08/6.59 (always3(s138)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8569, 22, 23192])).
% 9.08/6.59 tff(23207,plain,
% 9.08/6.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s138)) | (~m_main_v_state(s138, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s138)) | (~m_main_v_state(s138, c_busy)))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23208,plain,
% 9.08/6.59 (((~m_main_v_state(s138, c_busy)) | (~always3(s138))) <=> ((~always3(s138)) | (~m_main_v_state(s138, c_busy)))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23209,plain,
% 9.08/6.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s138, c_busy)) | (~always3(s138)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s138)) | (~m_main_v_state(s138, c_busy))))),
% 9.08/6.59 inference(monotonicity,[status(thm)],[23208])).
% 9.08/6.59 tff(23210,plain,
% 9.08/6.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s138, c_busy)) | (~always3(s138)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s138)) | (~m_main_v_state(s138, c_busy)))),
% 9.08/6.59 inference(transitivity,[status(thm)],[23209, 23207])).
% 9.08/6.59 tff(23211,plain,
% 9.08/6.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s138, c_busy)) | (~always3(s138)))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23212,plain,
% 9.08/6.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s138)) | (~m_main_v_state(s138, c_busy))),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23211, 23210])).
% 9.08/6.59 tff(23213,plain,
% 9.08/6.59 (~m_main_v_state(s138, c_busy)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23212, 170, 23206])).
% 9.08/6.59 tff(23214,plain,
% 9.08/6.59 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s138, c_busy) | m_main_v_state(s138, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s138, c_busy) | m_main_v_state(s138, c_ready))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23215,plain,
% 9.08/6.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s138, c_busy) | m_main_v_state(s138, c_ready))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23216,plain,
% 9.08/6.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s138, c_busy) | m_main_v_state(s138, c_ready)),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23215, 23214])).
% 9.08/6.59 tff(23217,plain,
% 9.08/6.59 ($false),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23216, 213, 23213, 23205])).
% 9.08/6.59 tff(23218,plain,((~node4(s138)) | m_main_v_state(s139, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.08/6.59 tff(23219,plain,
% 9.08/6.59 (~node4(s138)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23218, 23190])).
% 9.08/6.59 tff(23220,assumption,(~m_main_v_state(s140, c_busy)), introduced(assumption)).
% 9.08/6.59 tff(23221,plain,
% 9.08/6.59 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s139, c_busy) | m_main_v_state(s139, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s139, c_busy) | m_main_v_state(s139, c_ready))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23222,plain,
% 9.08/6.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s139, c_busy) | m_main_v_state(s139, c_ready))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23223,plain,
% 9.08/6.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s139, c_busy) | m_main_v_state(s139, c_ready)),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23222, 23221])).
% 9.08/6.59 tff(23224,plain,
% 9.08/6.59 (m_main_v_state(s139, c_ready)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23223, 213, 23190])).
% 9.08/6.59 tff(23225,plain,
% 9.08/6.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s139, s140)) | node2(s139, s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s139, s140)) | node2(s139, s140))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23226,plain,
% 9.08/6.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s139, s140)) | node2(s139, s140))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23227,plain,
% 9.08/6.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s139, s140)) | node2(s139, s140)),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23226, 23225])).
% 9.08/6.59 tff(23228,plain,
% 9.08/6.59 (node2(s139, s140)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23227, 7, 8532])).
% 9.08/6.59 tff(23229,plain,
% 9.08/6.59 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s139, c_ready)) | (~node2(s139, s140)) | m_main_v_state(s140, c_busy) | (~m_main_v_request(s139)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s139, c_ready)) | (~node2(s139, s140)) | m_main_v_state(s140, c_busy) | (~m_main_v_request(s139)))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23230,plain,
% 9.08/6.59 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s139, c_ready)) | (~node2(s139, s140)) | m_main_v_state(s140, c_busy) | (~m_main_v_request(s139)))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23231,plain,
% 9.08/6.59 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s139, c_ready)) | (~node2(s139, s140)) | m_main_v_state(s140, c_busy) | (~m_main_v_request(s139))),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23230, 23229])).
% 9.08/6.59 tff(23232,plain,
% 9.08/6.59 ((~m_main_v_state(s139, c_ready)) | m_main_v_state(s140, c_busy) | (~m_main_v_request(s139))),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23231, 191, 23228])).
% 9.08/6.59 tff(23233,plain,
% 9.08/6.59 (~m_main_v_request(s139)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23232, 23224, 23220])).
% 9.08/6.59 tff(23234,plain,
% 9.08/6.59 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s139) | (~node4(s139)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s139) | (~node4(s139)))),
% 9.08/6.59 inference(rewrite,[status(thm)],[])).
% 9.08/6.59 tff(23235,plain,
% 9.08/6.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s139) | (~node4(s139)))),
% 9.08/6.59 inference(quant_inst,[status(thm)],[])).
% 9.08/6.59 tff(23236,plain,
% 9.08/6.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s139) | (~node4(s139))),
% 9.08/6.59 inference(modus_ponens,[status(thm)],[23235, 23234])).
% 9.08/6.59 tff(23237,plain,
% 9.08/6.59 (~node4(s139)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23236, 154, 23233])).
% 9.08/6.59 tff(23238,plain,
% 9.08/6.59 (~until5(s139)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[23179, 23237])).
% 9.08/6.59 tff(23239,plain,
% 9.08/6.59 (~xuntil6(s138)),
% 9.08/6.59 inference(unit_resolution,[status(thm)],[8556, 23238])).
% 9.08/6.59 tff(23240,plain,
% 9.08/6.60 (node4(s138) | (~until5(s138))),
% 9.08/6.60 inference(unit_resolution,[status(thm)],[8576, 36, 23239])).
% 9.08/6.60 tff(23241,plain,
% 9.08/6.60 (~until5(s138)),
% 9.08/6.60 inference(unit_resolution,[status(thm)],[23240, 23219])).
% 9.08/6.60 tff(23242,plain,
% 9.08/6.60 (~xuntil6(s137)),
% 9.08/6.60 inference(unit_resolution,[status(thm)],[8585, 23241])).
% 9.08/6.60 tff(23243,assumption,(~always3(s137)), introduced(assumption)).
% 9.08/6.60 tff(23244,plain,
% 9.08/6.60 (~node4(s137)),
% 9.08/6.60 inference(unit_resolution,[status(thm)],[8598, 22, 23243])).
% 9.08/6.60 tff(23245,assumption,(~xuntil6(s137)), introduced(assumption)).
% 9.08/6.60 tff(23246,plain,
% 9.08/6.60 (node4(s137) | (~until5(s137))),
% 9.08/6.60 inference(unit_resolution,[status(thm)],[8605, 36, 23245])).
% 9.08/6.60 tff(23247,plain,
% 9.08/6.60 (~until5(s137)),
% 9.08/6.60 inference(unit_resolution,[status(thm)],[23246, 23244])).
% 9.08/6.60 tff(23248,plain,
% 9.08/6.60 (~always3(s136)),
% 9.08/6.60 inference(unit_resolution,[status(thm)],[8618, 23243])).
% 9.08/6.60 tff(23249,plain,
% 9.08/6.60 (~node4(s136)),
% 9.08/6.60 inference(unit_resolution,[status(thm)],[10883, 22, 23248])).
% 9.08/6.60 tff(23250,plain,
% 9.08/6.60 (xuntil6(s136)),
% 9.08/6.60 inference(unit_resolution,[status(thm)],[23170, 23249])).
% 9.08/6.60 tff(23251,plain,
% 9.08/6.60 ($false),
% 9.08/6.60 inference(unit_resolution,[status(thm)],[10896, 23250, 23247])).
% 9.08/6.60 tff(23252,plain,(always3(s137) | (~until5(s136)) | xuntil6(s137)), inference(lemma,lemma(discharge,[]))).
% 9.08/6.60 tff(23253,plain,
% 9.08/6.60 (always3(s137)),
% 9.08/6.60 inference(unit_resolution,[status(thm)],[23252, 23163, 23242])).
% 9.08/6.60 tff(23254,plain,
% 9.08/6.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s137)) | (~m_main_v_state(s137, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s137)) | (~m_main_v_state(s137, c_busy)))),
% 9.08/6.60 inference(rewrite,[status(thm)],[])).
% 9.08/6.60 tff(23255,plain,
% 9.08/6.60 (((~m_main_v_state(s137, c_busy)) | (~always3(s137))) <=> ((~always3(s137)) | (~m_main_v_state(s137, c_busy)))),
% 9.08/6.60 inference(rewrite,[status(thm)],[])).
% 9.08/6.60 tff(23256,plain,
% 9.08/6.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s137, c_busy)) | (~always3(s137)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s137)) | (~m_main_v_state(s137, c_busy))))),
% 9.08/6.60 inference(monotonicity,[status(thm)],[23255])).
% 9.08/6.60 tff(23257,plain,
% 9.08/6.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s137, c_busy)) | (~always3(s137)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s137)) | (~m_main_v_state(s137, c_busy)))),
% 9.08/6.60 inference(transitivity,[status(thm)],[23256, 23254])).
% 9.08/6.60 tff(23258,plain,
% 9.08/6.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s137, c_busy)) | (~always3(s137)))),
% 9.08/6.60 inference(quant_inst,[status(thm)],[])).
% 9.08/6.60 tff(23259,plain,
% 9.08/6.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s137)) | (~m_main_v_state(s137, c_busy))),
% 9.08/6.60 inference(modus_ponens,[status(thm)],[23258, 23257])).
% 9.08/6.60 tff(23260,plain,
% 9.08/6.60 (~m_main_v_state(s137, c_busy)),
% 9.08/6.60 inference(unit_resolution,[status(thm)],[23259, 170, 23253])).
% 9.08/6.60 tff(23261,plain,
% 9.08/6.60 (always3(s138)),
% 9.08/6.60 inference(unit_resolution,[status(thm)],[8594, 23253])).
% 9.08/6.60 tff(23262,plain,
% 9.08/6.60 (~m_main_v_state(s138, c_busy)),
% 9.08/6.60 inference(unit_resolution,[status(thm)],[23212, 170, 23261])).
% 9.08/6.60 tff(23263,plain,
% 9.08/6.60 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s137, c_busy) | m_main_v_state(s137, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s137, c_busy) | m_main_v_state(s137, c_ready))),
% 9.08/6.60 inference(rewrite,[status(thm)],[])).
% 9.08/6.60 tff(23264,plain,
% 9.08/6.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s137, c_busy) | m_main_v_state(s137, c_ready))),
% 9.08/6.60 inference(quant_inst,[status(thm)],[])).
% 9.08/6.60 tff(23265,plain,
% 9.08/6.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s137, c_busy) | m_main_v_state(s137, c_ready)),
% 9.08/6.60 inference(modus_ponens,[status(thm)],[23264, 23263])).
% 9.08/6.60 tff(23266,plain,
% 9.08/6.60 (m_main_v_state(s137, c_ready)),
% 9.08/6.60 inference(unit_resolution,[status(thm)],[23265, 213, 23260])).
% 9.08/6.60 tff(23267,plain,
% 9.08/6.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s137, s138)) | node2(s137, s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s137, s138)) | node2(s137, s138))),
% 9.08/6.60 inference(rewrite,[status(thm)],[])).
% 9.08/6.60 tff(23268,plain,
% 9.08/6.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s137, s138)) | node2(s137, s138))),
% 9.08/6.60 inference(quant_inst,[status(thm)],[])).
% 9.08/6.60 tff(23269,plain,
% 9.08/6.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s137, s138)) | node2(s137, s138)),
% 9.08/6.60 inference(modus_ponens,[status(thm)],[23268, 23267])).
% 9.08/6.60 tff(23270,plain,
% 9.08/6.60 (node2(s137, s138)),
% 9.08/6.60 inference(unit_resolution,[status(thm)],[23269, 7, 8590])).
% 9.08/6.60 tff(23271,plain,
% 9.08/6.60 (((~![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(s137, c_ready)) | (~node2(s137, s138)) | m_main_v_state(s138, c_busy) | (~m_main_v_request(s137)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s137, c_ready)) | (~node2(s137, s138)) | m_main_v_state(s138, c_busy) | (~m_main_v_request(s137)))),
% 9.08/6.60 inference(rewrite,[status(thm)],[])).
% 9.08/6.60 tff(23272,plain,
% 9.08/6.60 ((~![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(s137, c_ready)) | (~node2(s137, s138)) | m_main_v_state(s138, c_busy) | (~m_main_v_request(s137)))),
% 9.08/6.60 inference(quant_inst,[status(thm)],[])).
% 9.08/6.60 tff(23273,plain,
% 9.08/6.60 ((~![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(s137, c_ready)) | (~node2(s137, s138)) | m_main_v_state(s138, c_busy) | (~m_main_v_request(s137))),
% 9.08/6.60 inference(modus_ponens,[status(thm)],[23272, 23271])).
% 9.08/6.60 tff(23274,plain,
% 9.08/6.60 ((~m_main_v_state(s137, c_ready)) | m_main_v_state(s138, c_busy) | (~m_main_v_request(s137))),
% 9.08/6.60 inference(unit_resolution,[status(thm)],[23273, 191, 23270])).
% 9.08/6.60 tff(23275,plain,
% 9.08/6.60 (~m_main_v_request(s137)),
% 9.08/6.60 inference(unit_resolution,[status(thm)],[23274, 23266, 23262])).
% 9.08/6.60 tff(23276,plain,
% 9.08/6.60 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s137) | (~node4(s137)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s137) | (~node4(s137)))),
% 9.08/6.60 inference(rewrite,[status(thm)],[])).
% 9.08/6.60 tff(23277,plain,
% 9.08/6.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s137) | (~node4(s137)))),
% 9.08/6.60 inference(quant_inst,[status(thm)],[])).
% 9.08/6.60 tff(23278,plain,
% 9.08/6.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s137) | (~node4(s137))),
% 9.08/6.60 inference(modus_ponens,[status(thm)],[23277, 23276])).
% 9.08/6.60 tff(23279,plain,
% 9.08/6.60 (~node4(s137)),
% 9.08/6.60 inference(unit_resolution,[status(thm)],[23278, 154, 23275])).
% 9.08/6.60 tff(23280,plain,
% 9.08/6.60 (node4(s137) | (~until5(s137))),
% 9.08/6.60 inference(unit_resolution,[status(thm)],[8605, 36, 23242])).
% 9.08/6.60 tff(23281,plain,
% 9.08/6.60 (~until5(s137)),
% 9.08/6.60 inference(unit_resolution,[status(thm)],[23280, 23279])).
% 9.16/6.60 tff(23282,plain,
% 9.16/6.60 (~xuntil6(s136)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[10896, 23281])).
% 9.16/6.60 tff(23283,plain,
% 9.16/6.60 (node4(s136)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23170, 23282])).
% 9.16/6.60 tff(23284,plain,
% 9.16/6.60 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s136) | (~node4(s136)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s136) | (~node4(s136)))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23285,plain,
% 9.16/6.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s136) | (~node4(s136)))),
% 9.16/6.60 inference(quant_inst,[status(thm)],[])).
% 9.16/6.60 tff(23286,plain,
% 9.16/6.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s136) | (~node4(s136))),
% 9.16/6.60 inference(modus_ponens,[status(thm)],[23285, 23284])).
% 9.16/6.60 tff(23287,plain,
% 9.16/6.60 (m_main_v_request(s136)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23286, 154, 23283])).
% 9.16/6.60 tff(23288,plain,
% 9.16/6.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s136, s137)) | node2(s136, s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s136, s137)) | node2(s136, s137))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23289,plain,
% 9.16/6.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s136, s137)) | node2(s136, s137))),
% 9.16/6.60 inference(quant_inst,[status(thm)],[])).
% 9.16/6.60 tff(23290,plain,
% 9.16/6.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s136, s137)) | node2(s136, s137)),
% 9.16/6.60 inference(modus_ponens,[status(thm)],[23289, 23288])).
% 9.16/6.60 tff(23291,plain,
% 9.16/6.60 (node2(s136, s137)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23290, 7, 8614])).
% 9.16/6.60 tff(23292,plain,
% 9.16/6.60 (((~![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(s136, c_ready)) | (~node2(s136, s137)) | m_main_v_state(s137, c_busy) | (~m_main_v_request(s136)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s136, c_ready)) | (~node2(s136, s137)) | m_main_v_state(s137, c_busy) | (~m_main_v_request(s136)))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23293,plain,
% 9.16/6.60 ((~![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(s136, c_ready)) | (~node2(s136, s137)) | m_main_v_state(s137, c_busy) | (~m_main_v_request(s136)))),
% 9.16/6.60 inference(quant_inst,[status(thm)],[])).
% 9.16/6.60 tff(23294,plain,
% 9.16/6.60 ((~![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(s136, c_ready)) | (~node2(s136, s137)) | m_main_v_state(s137, c_busy) | (~m_main_v_request(s136))),
% 9.16/6.60 inference(modus_ponens,[status(thm)],[23293, 23292])).
% 9.16/6.60 tff(23295,plain,
% 9.16/6.60 ((~m_main_v_state(s136, c_ready)) | m_main_v_state(s137, c_busy) | (~m_main_v_request(s136))),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23294, 191, 23291])).
% 9.16/6.60 tff(23296,plain,
% 9.16/6.60 (~m_main_v_state(s136, c_ready)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23295, 23287, 23260])).
% 9.16/6.60 tff(23297,plain,
% 9.16/6.60 (always3(s136)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[10883, 22, 23283])).
% 9.16/6.60 tff(23298,plain,
% 9.16/6.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s136)) | (~m_main_v_state(s136, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s136)) | (~m_main_v_state(s136, c_busy)))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23299,plain,
% 9.16/6.60 (((~m_main_v_state(s136, c_busy)) | (~always3(s136))) <=> ((~always3(s136)) | (~m_main_v_state(s136, c_busy)))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23300,plain,
% 9.16/6.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s136, c_busy)) | (~always3(s136)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s136)) | (~m_main_v_state(s136, c_busy))))),
% 9.16/6.60 inference(monotonicity,[status(thm)],[23299])).
% 9.16/6.60 tff(23301,plain,
% 9.16/6.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s136, c_busy)) | (~always3(s136)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s136)) | (~m_main_v_state(s136, c_busy)))),
% 9.16/6.60 inference(transitivity,[status(thm)],[23300, 23298])).
% 9.16/6.60 tff(23302,plain,
% 9.16/6.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s136, c_busy)) | (~always3(s136)))),
% 9.16/6.60 inference(quant_inst,[status(thm)],[])).
% 9.16/6.60 tff(23303,plain,
% 9.16/6.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s136)) | (~m_main_v_state(s136, c_busy))),
% 9.16/6.60 inference(modus_ponens,[status(thm)],[23302, 23301])).
% 9.16/6.60 tff(23304,plain,
% 9.16/6.60 (~m_main_v_state(s136, c_busy)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23303, 170, 23297])).
% 9.16/6.60 tff(23305,plain,
% 9.16/6.60 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s136, c_busy) | m_main_v_state(s136, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s136, c_busy) | m_main_v_state(s136, c_ready))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23306,plain,
% 9.16/6.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s136, c_busy) | m_main_v_state(s136, c_ready))),
% 9.16/6.60 inference(quant_inst,[status(thm)],[])).
% 9.16/6.60 tff(23307,plain,
% 9.16/6.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s136, c_busy) | m_main_v_state(s136, c_ready)),
% 9.16/6.60 inference(modus_ponens,[status(thm)],[23306, 23305])).
% 9.16/6.60 tff(23308,plain,
% 9.16/6.60 ($false),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23307, 213, 23304, 23296])).
% 9.16/6.60 tff(23309,plain,((~until5(s136)) | xuntil6(s139) | m_main_v_state(s140, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.16/6.60 tff(23310,plain,
% 9.16/6.60 (~until5(s136)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23309, 23161, 23139])).
% 9.16/6.60 tff(23311,plain,
% 9.16/6.60 (~xuntil6(s135)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[10879, 23310])).
% 9.16/6.60 tff(23312,assumption,(~always3(s135)), introduced(assumption)).
% 9.16/6.60 tff(23313,plain,
% 9.16/6.60 (~always3(s134)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[8642, 23312])).
% 9.16/6.60 tff(23314,plain,
% 9.16/6.60 (~node4(s134)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[10849, 22, 23313])).
% 9.16/6.60 tff(23315,plain,
% 9.16/6.60 (~node4(s135)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[10866, 22, 23312])).
% 9.16/6.60 tff(23316,assumption,(~xuntil6(s135)), introduced(assumption)).
% 9.16/6.60 tff(23317,plain,
% 9.16/6.60 (node4(s135) | (~until5(s135))),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[10873, 36, 23316])).
% 9.16/6.60 tff(23318,plain,
% 9.16/6.60 (~until5(s135)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23317, 23315])).
% 9.16/6.60 tff(23319,plain,
% 9.16/6.60 (~xuntil6(s134)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[10862, 23318])).
% 9.16/6.60 tff(23320,plain,
% 9.16/6.60 (~until5(s134)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[10856, 36, 23319, 23314])).
% 9.16/6.60 tff(23321,plain,
% 9.16/6.60 (~always3(s133)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[8654, 23313])).
% 9.16/6.60 tff(23322,plain,
% 9.16/6.60 (~node4(s133)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[10832, 22, 23321])).
% 9.16/6.60 tff(23323,plain,
% 9.16/6.60 (~always3(s132)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[8666, 23321])).
% 9.16/6.60 tff(23324,plain,
% 9.16/6.60 (~node4(s132)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[10815, 22, 23323])).
% 9.16/6.60 tff(23325,plain,
% 9.16/6.60 (xuntil6(s132)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[22947, 23324])).
% 9.16/6.60 tff(23326,plain,
% 9.16/6.60 (until5(s133)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[10828, 23325])).
% 9.16/6.60 tff(23327,plain,
% 9.16/6.60 (xuntil6(s133)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[10839, 36, 23326, 23322])).
% 9.16/6.60 tff(23328,plain,
% 9.16/6.60 ($false),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[10845, 23327, 23320])).
% 9.16/6.60 tff(23329,plain,(always3(s135) | (~until5(s132)) | xuntil6(s135)), inference(lemma,lemma(discharge,[]))).
% 9.16/6.60 tff(23330,plain,
% 9.16/6.60 (always3(s135)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23329, 22355, 23311])).
% 9.16/6.60 tff(23331,plain,
% 9.16/6.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s135)) | (~m_main_v_state(s135, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s135)) | (~m_main_v_state(s135, c_busy)))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23332,plain,
% 9.16/6.60 (((~m_main_v_state(s135, c_busy)) | (~always3(s135))) <=> ((~always3(s135)) | (~m_main_v_state(s135, c_busy)))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23333,plain,
% 9.16/6.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s135, c_busy)) | (~always3(s135)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s135)) | (~m_main_v_state(s135, c_busy))))),
% 9.16/6.60 inference(monotonicity,[status(thm)],[23332])).
% 9.16/6.60 tff(23334,plain,
% 9.16/6.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s135, c_busy)) | (~always3(s135)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s135)) | (~m_main_v_state(s135, c_busy)))),
% 9.16/6.60 inference(transitivity,[status(thm)],[23333, 23331])).
% 9.16/6.60 tff(23335,plain,
% 9.16/6.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s135, c_busy)) | (~always3(s135)))),
% 9.16/6.60 inference(quant_inst,[status(thm)],[])).
% 9.16/6.60 tff(23336,plain,
% 9.16/6.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s135)) | (~m_main_v_state(s135, c_busy))),
% 9.16/6.60 inference(modus_ponens,[status(thm)],[23335, 23334])).
% 9.16/6.60 tff(23337,plain,
% 9.16/6.60 (~m_main_v_state(s135, c_busy)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23336, 170, 23330])).
% 9.16/6.60 tff(23338,assumption,(~m_main_v_state(s135, c_busy)), introduced(assumption)).
% 9.16/6.60 tff(23339,assumption,(node4(s134)), introduced(assumption)).
% 9.16/6.60 tff(23340,plain,
% 9.16/6.60 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s134) | (~node4(s134)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s134) | (~node4(s134)))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23341,plain,
% 9.16/6.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s134) | (~node4(s134)))),
% 9.16/6.60 inference(quant_inst,[status(thm)],[])).
% 9.16/6.60 tff(23342,plain,
% 9.16/6.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s134) | (~node4(s134))),
% 9.16/6.60 inference(modus_ponens,[status(thm)],[23341, 23340])).
% 9.16/6.60 tff(23343,plain,
% 9.16/6.60 (m_main_v_request(s134)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23342, 154, 23339])).
% 9.16/6.60 tff(23344,plain,
% 9.16/6.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s134, s135)) | node2(s134, s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s134, s135)) | node2(s134, s135))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23345,plain,
% 9.16/6.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s134, s135)) | node2(s134, s135))),
% 9.16/6.60 inference(quant_inst,[status(thm)],[])).
% 9.16/6.60 tff(23346,plain,
% 9.16/6.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s134, s135)) | node2(s134, s135)),
% 9.16/6.60 inference(modus_ponens,[status(thm)],[23345, 23344])).
% 9.16/6.60 tff(23347,plain,
% 9.16/6.60 (node2(s134, s135)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23346, 7, 8638])).
% 9.16/6.60 tff(23348,plain,
% 9.16/6.60 (((~![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(s134, c_ready)) | (~node2(s134, s135)) | m_main_v_state(s135, c_busy) | (~m_main_v_request(s134)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s134, c_ready)) | (~node2(s134, s135)) | m_main_v_state(s135, c_busy) | (~m_main_v_request(s134)))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23349,plain,
% 9.16/6.60 ((~![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(s134, c_ready)) | (~node2(s134, s135)) | m_main_v_state(s135, c_busy) | (~m_main_v_request(s134)))),
% 9.16/6.60 inference(quant_inst,[status(thm)],[])).
% 9.16/6.60 tff(23350,plain,
% 9.16/6.60 ((~![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(s134, c_ready)) | (~node2(s134, s135)) | m_main_v_state(s135, c_busy) | (~m_main_v_request(s134))),
% 9.16/6.60 inference(modus_ponens,[status(thm)],[23349, 23348])).
% 9.16/6.60 tff(23351,plain,
% 9.16/6.60 ((~m_main_v_state(s134, c_ready)) | m_main_v_state(s135, c_busy) | (~m_main_v_request(s134))),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23350, 191, 23347])).
% 9.16/6.60 tff(23352,plain,
% 9.16/6.60 (~m_main_v_state(s134, c_ready)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23351, 23343, 23338])).
% 9.16/6.60 tff(23353,plain,
% 9.16/6.60 (always3(s134)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[10849, 22, 23339])).
% 9.16/6.60 tff(23354,plain,
% 9.16/6.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s134)) | (~m_main_v_state(s134, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s134)) | (~m_main_v_state(s134, c_busy)))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23355,plain,
% 9.16/6.60 (((~m_main_v_state(s134, c_busy)) | (~always3(s134))) <=> ((~always3(s134)) | (~m_main_v_state(s134, c_busy)))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23356,plain,
% 9.16/6.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s134, c_busy)) | (~always3(s134)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s134)) | (~m_main_v_state(s134, c_busy))))),
% 9.16/6.60 inference(monotonicity,[status(thm)],[23355])).
% 9.16/6.60 tff(23357,plain,
% 9.16/6.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s134, c_busy)) | (~always3(s134)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s134)) | (~m_main_v_state(s134, c_busy)))),
% 9.16/6.60 inference(transitivity,[status(thm)],[23356, 23354])).
% 9.16/6.60 tff(23358,plain,
% 9.16/6.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s134, c_busy)) | (~always3(s134)))),
% 9.16/6.60 inference(quant_inst,[status(thm)],[])).
% 9.16/6.60 tff(23359,plain,
% 9.16/6.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s134)) | (~m_main_v_state(s134, c_busy))),
% 9.16/6.60 inference(modus_ponens,[status(thm)],[23358, 23357])).
% 9.16/6.60 tff(23360,plain,
% 9.16/6.60 (~m_main_v_state(s134, c_busy)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23359, 170, 23353])).
% 9.16/6.60 tff(23361,plain,
% 9.16/6.60 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s134, c_busy) | m_main_v_state(s134, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s134, c_busy) | m_main_v_state(s134, c_ready))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23362,plain,
% 9.16/6.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s134, c_busy) | m_main_v_state(s134, c_ready))),
% 9.16/6.60 inference(quant_inst,[status(thm)],[])).
% 9.16/6.60 tff(23363,plain,
% 9.16/6.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s134, c_busy) | m_main_v_state(s134, c_ready)),
% 9.16/6.60 inference(modus_ponens,[status(thm)],[23362, 23361])).
% 9.16/6.60 tff(23364,plain,
% 9.16/6.60 ($false),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23363, 213, 23360, 23352])).
% 9.16/6.60 tff(23365,plain,((~node4(s134)) | m_main_v_state(s135, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.16/6.60 tff(23366,plain,
% 9.16/6.60 (~node4(s134)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23365, 23337])).
% 9.16/6.60 tff(23367,plain,
% 9.16/6.60 (always3(s136)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[8630, 23330])).
% 9.16/6.60 tff(23368,plain,
% 9.16/6.60 (~m_main_v_state(s136, c_busy)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23303, 170, 23367])).
% 9.16/6.60 tff(23369,plain,
% 9.16/6.60 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s135, c_busy) | m_main_v_state(s135, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s135, c_busy) | m_main_v_state(s135, c_ready))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23370,plain,
% 9.16/6.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s135, c_busy) | m_main_v_state(s135, c_ready))),
% 9.16/6.60 inference(quant_inst,[status(thm)],[])).
% 9.16/6.60 tff(23371,plain,
% 9.16/6.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s135, c_busy) | m_main_v_state(s135, c_ready)),
% 9.16/6.60 inference(modus_ponens,[status(thm)],[23370, 23369])).
% 9.16/6.60 tff(23372,plain,
% 9.16/6.60 (m_main_v_state(s135, c_ready)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23371, 213, 23337])).
% 9.16/6.60 tff(23373,plain,
% 9.16/6.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s135, s136)) | node2(s135, s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s135, s136)) | node2(s135, s136))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23374,plain,
% 9.16/6.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s135, s136)) | node2(s135, s136))),
% 9.16/6.60 inference(quant_inst,[status(thm)],[])).
% 9.16/6.60 tff(23375,plain,
% 9.16/6.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s135, s136)) | node2(s135, s136)),
% 9.16/6.60 inference(modus_ponens,[status(thm)],[23374, 23373])).
% 9.16/6.60 tff(23376,plain,
% 9.16/6.60 (node2(s135, s136)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23375, 7, 8626])).
% 9.16/6.60 tff(23377,plain,
% 9.16/6.60 (((~![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(s135, c_ready)) | (~node2(s135, s136)) | m_main_v_state(s136, c_busy) | (~m_main_v_request(s135)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s135, c_ready)) | (~node2(s135, s136)) | m_main_v_state(s136, c_busy) | (~m_main_v_request(s135)))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23378,plain,
% 9.16/6.60 ((~![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(s135, c_ready)) | (~node2(s135, s136)) | m_main_v_state(s136, c_busy) | (~m_main_v_request(s135)))),
% 9.16/6.60 inference(quant_inst,[status(thm)],[])).
% 9.16/6.60 tff(23379,plain,
% 9.16/6.60 ((~![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(s135, c_ready)) | (~node2(s135, s136)) | m_main_v_state(s136, c_busy) | (~m_main_v_request(s135))),
% 9.16/6.60 inference(modus_ponens,[status(thm)],[23378, 23377])).
% 9.16/6.60 tff(23380,plain,
% 9.16/6.60 ((~m_main_v_state(s135, c_ready)) | m_main_v_state(s136, c_busy) | (~m_main_v_request(s135))),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23379, 191, 23376])).
% 9.16/6.60 tff(23381,plain,
% 9.16/6.60 (~m_main_v_request(s135)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23380, 23372, 23368])).
% 9.16/6.60 tff(23382,plain,
% 9.16/6.60 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s135) | (~node4(s135)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s135) | (~node4(s135)))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23383,plain,
% 9.16/6.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s135) | (~node4(s135)))),
% 9.16/6.60 inference(quant_inst,[status(thm)],[])).
% 9.16/6.60 tff(23384,plain,
% 9.16/6.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s135) | (~node4(s135))),
% 9.16/6.60 inference(modus_ponens,[status(thm)],[23383, 23382])).
% 9.16/6.60 tff(23385,plain,
% 9.16/6.60 (~node4(s135)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23384, 154, 23381])).
% 9.16/6.60 tff(23386,plain,
% 9.16/6.60 (node4(s135) | (~until5(s135))),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[10873, 36, 23311])).
% 9.16/6.60 tff(23387,plain,
% 9.16/6.60 (~until5(s135)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23386, 23385])).
% 9.16/6.60 tff(23388,plain,
% 9.16/6.60 (~xuntil6(s134)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[10862, 23387])).
% 9.16/6.60 tff(23389,plain,
% 9.16/6.60 (node4(s134) | (~until5(s134))),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[10856, 36, 23388])).
% 9.16/6.60 tff(23390,plain,
% 9.16/6.60 (~until5(s134)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23389, 23366])).
% 9.16/6.60 tff(23391,plain,
% 9.16/6.60 (~xuntil6(s133)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[10845, 23390])).
% 9.16/6.60 tff(23392,assumption,(~always3(s133)), introduced(assumption)).
% 9.16/6.60 tff(23393,plain,
% 9.16/6.60 (~node4(s133)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[10832, 22, 23392])).
% 9.16/6.60 tff(23394,assumption,(~xuntil6(s133)), introduced(assumption)).
% 9.16/6.60 tff(23395,plain,
% 9.16/6.60 (node4(s133) | (~until5(s133))),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[10839, 36, 23394])).
% 9.16/6.60 tff(23396,plain,
% 9.16/6.60 (~until5(s133)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23395, 23393])).
% 9.16/6.60 tff(23397,plain,
% 9.16/6.60 (~always3(s132)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[8666, 23392])).
% 9.16/6.60 tff(23398,plain,
% 9.16/6.60 (~node4(s132)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[10815, 22, 23397])).
% 9.16/6.60 tff(23399,plain,
% 9.16/6.60 (xuntil6(s132)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[22947, 23398])).
% 9.16/6.60 tff(23400,plain,
% 9.16/6.60 ($false),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[10828, 23399, 23396])).
% 9.16/6.60 tff(23401,plain,(always3(s133) | (~until5(s132)) | xuntil6(s133)), inference(lemma,lemma(discharge,[]))).
% 9.16/6.60 tff(23402,plain,
% 9.16/6.60 (always3(s133)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23401, 22355, 23391])).
% 9.16/6.60 tff(23403,plain,
% 9.16/6.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s133)) | (~m_main_v_state(s133, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s133)) | (~m_main_v_state(s133, c_busy)))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23404,plain,
% 9.16/6.60 (((~m_main_v_state(s133, c_busy)) | (~always3(s133))) <=> ((~always3(s133)) | (~m_main_v_state(s133, c_busy)))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23405,plain,
% 9.16/6.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s133, c_busy)) | (~always3(s133)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s133)) | (~m_main_v_state(s133, c_busy))))),
% 9.16/6.60 inference(monotonicity,[status(thm)],[23404])).
% 9.16/6.60 tff(23406,plain,
% 9.16/6.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s133, c_busy)) | (~always3(s133)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s133)) | (~m_main_v_state(s133, c_busy)))),
% 9.16/6.60 inference(transitivity,[status(thm)],[23405, 23403])).
% 9.16/6.60 tff(23407,plain,
% 9.16/6.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s133, c_busy)) | (~always3(s133)))),
% 9.16/6.60 inference(quant_inst,[status(thm)],[])).
% 9.16/6.60 tff(23408,plain,
% 9.16/6.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s133)) | (~m_main_v_state(s133, c_busy))),
% 9.16/6.60 inference(modus_ponens,[status(thm)],[23407, 23406])).
% 9.16/6.60 tff(23409,plain,
% 9.16/6.60 (~m_main_v_state(s133, c_busy)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23408, 170, 23402])).
% 9.16/6.60 tff(23410,plain,
% 9.16/6.60 (always3(s134)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[8654, 23402])).
% 9.16/6.60 tff(23411,plain,
% 9.16/6.60 (~m_main_v_state(s134, c_busy)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23359, 170, 23410])).
% 9.16/6.60 tff(23412,plain,
% 9.16/6.60 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s133, c_busy) | m_main_v_state(s133, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s133, c_busy) | m_main_v_state(s133, c_ready))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23413,plain,
% 9.16/6.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s133, c_busy) | m_main_v_state(s133, c_ready))),
% 9.16/6.60 inference(quant_inst,[status(thm)],[])).
% 9.16/6.60 tff(23414,plain,
% 9.16/6.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s133, c_busy) | m_main_v_state(s133, c_ready)),
% 9.16/6.60 inference(modus_ponens,[status(thm)],[23413, 23412])).
% 9.16/6.60 tff(23415,plain,
% 9.16/6.60 (m_main_v_state(s133, c_ready)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23414, 213, 23409])).
% 9.16/6.60 tff(23416,plain,
% 9.16/6.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s133, s134)) | node2(s133, s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s133, s134)) | node2(s133, s134))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23417,plain,
% 9.16/6.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s133, s134)) | node2(s133, s134))),
% 9.16/6.60 inference(quant_inst,[status(thm)],[])).
% 9.16/6.60 tff(23418,plain,
% 9.16/6.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s133, s134)) | node2(s133, s134)),
% 9.16/6.60 inference(modus_ponens,[status(thm)],[23417, 23416])).
% 9.16/6.60 tff(23419,plain,
% 9.16/6.60 (node2(s133, s134)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23418, 7, 8650])).
% 9.16/6.60 tff(23420,plain,
% 9.16/6.60 (((~![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(s133, c_ready)) | (~node2(s133, s134)) | m_main_v_state(s134, c_busy) | (~m_main_v_request(s133)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s133, c_ready)) | (~node2(s133, s134)) | m_main_v_state(s134, c_busy) | (~m_main_v_request(s133)))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23421,plain,
% 9.16/6.60 ((~![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(s133, c_ready)) | (~node2(s133, s134)) | m_main_v_state(s134, c_busy) | (~m_main_v_request(s133)))),
% 9.16/6.60 inference(quant_inst,[status(thm)],[])).
% 9.16/6.60 tff(23422,plain,
% 9.16/6.60 ((~![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(s133, c_ready)) | (~node2(s133, s134)) | m_main_v_state(s134, c_busy) | (~m_main_v_request(s133))),
% 9.16/6.60 inference(modus_ponens,[status(thm)],[23421, 23420])).
% 9.16/6.60 tff(23423,plain,
% 9.16/6.60 ((~m_main_v_state(s133, c_ready)) | m_main_v_state(s134, c_busy) | (~m_main_v_request(s133))),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23422, 191, 23419])).
% 9.16/6.60 tff(23424,plain,
% 9.16/6.60 (~m_main_v_request(s133)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23423, 23415, 23411])).
% 9.16/6.60 tff(23425,plain,
% 9.16/6.60 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s133) | (~node4(s133)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s133) | (~node4(s133)))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23426,plain,
% 9.16/6.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s133) | (~node4(s133)))),
% 9.16/6.60 inference(quant_inst,[status(thm)],[])).
% 9.16/6.60 tff(23427,plain,
% 9.16/6.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s133) | (~node4(s133))),
% 9.16/6.60 inference(modus_ponens,[status(thm)],[23426, 23425])).
% 9.16/6.60 tff(23428,plain,
% 9.16/6.60 (~node4(s133)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23427, 154, 23424])).
% 9.16/6.60 tff(23429,plain,
% 9.16/6.60 (node4(s133) | (~until5(s133))),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[10839, 36, 23391])).
% 9.16/6.60 tff(23430,plain,
% 9.16/6.60 (~until5(s133)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23429, 23428])).
% 9.16/6.60 tff(23431,plain,
% 9.16/6.60 (~xuntil6(s132)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[10828, 23430])).
% 9.16/6.60 tff(23432,plain,
% 9.16/6.60 (node4(s132)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[22947, 23431])).
% 9.16/6.60 tff(23433,plain,
% 9.16/6.60 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s132) | (~node4(s132)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s132) | (~node4(s132)))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23434,plain,
% 9.16/6.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s132) | (~node4(s132)))),
% 9.16/6.60 inference(quant_inst,[status(thm)],[])).
% 9.16/6.60 tff(23435,plain,
% 9.16/6.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s132) | (~node4(s132))),
% 9.16/6.60 inference(modus_ponens,[status(thm)],[23434, 23433])).
% 9.16/6.60 tff(23436,plain,
% 9.16/6.60 (m_main_v_request(s132)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23435, 154, 23432])).
% 9.16/6.60 tff(23437,plain,
% 9.16/6.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s132, s133)) | node2(s132, s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s132, s133)) | node2(s132, s133))),
% 9.16/6.60 inference(rewrite,[status(thm)],[])).
% 9.16/6.60 tff(23438,plain,
% 9.16/6.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s132, s133)) | node2(s132, s133))),
% 9.16/6.60 inference(quant_inst,[status(thm)],[])).
% 9.16/6.60 tff(23439,plain,
% 9.16/6.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s132, s133)) | node2(s132, s133)),
% 9.16/6.60 inference(modus_ponens,[status(thm)],[23438, 23437])).
% 9.16/6.60 tff(23440,plain,
% 9.16/6.60 (node2(s132, s133)),
% 9.16/6.60 inference(unit_resolution,[status(thm)],[23439, 7, 8662])).
% 9.16/6.61 tff(23441,plain,
% 9.16/6.61 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s132, c_ready)) | (~node2(s132, s133)) | m_main_v_state(s133, c_busy) | (~m_main_v_request(s132)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s132, c_ready)) | (~node2(s132, s133)) | m_main_v_state(s133, c_busy) | (~m_main_v_request(s132)))),
% 9.16/6.61 inference(rewrite,[status(thm)],[])).
% 9.16/6.61 tff(23442,plain,
% 9.16/6.61 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s132, c_ready)) | (~node2(s132, s133)) | m_main_v_state(s133, c_busy) | (~m_main_v_request(s132)))),
% 9.16/6.61 inference(quant_inst,[status(thm)],[])).
% 9.16/6.61 tff(23443,plain,
% 9.16/6.61 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s132, c_ready)) | (~node2(s132, s133)) | m_main_v_state(s133, c_busy) | (~m_main_v_request(s132))),
% 9.16/6.61 inference(modus_ponens,[status(thm)],[23442, 23441])).
% 9.16/6.61 tff(23444,plain,
% 9.16/6.61 ((~m_main_v_state(s132, c_ready)) | m_main_v_state(s133, c_busy) | (~m_main_v_request(s132))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23443, 191, 23440])).
% 9.16/6.61 tff(23445,plain,
% 9.16/6.61 (~m_main_v_state(s132, c_ready)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23444, 23436, 23409])).
% 9.16/6.61 tff(23446,plain,
% 9.16/6.61 (always3(s132)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10815, 22, 23432])).
% 9.16/6.61 tff(23447,plain,
% 9.16/6.61 (~m_main_v_state(s132, c_busy)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[22298, 170, 23446])).
% 9.16/6.61 tff(23448,plain,
% 9.16/6.61 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s132, c_busy) | m_main_v_state(s132, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s132, c_busy) | m_main_v_state(s132, c_ready))),
% 9.16/6.61 inference(rewrite,[status(thm)],[])).
% 9.16/6.61 tff(23449,plain,
% 9.16/6.61 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s132, c_busy) | m_main_v_state(s132, c_ready))),
% 9.16/6.61 inference(quant_inst,[status(thm)],[])).
% 9.16/6.61 tff(23450,plain,
% 9.16/6.61 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s132, c_busy) | m_main_v_state(s132, c_ready)),
% 9.16/6.61 inference(modus_ponens,[status(thm)],[23449, 23448])).
% 9.16/6.61 tff(23451,plain,
% 9.16/6.61 ($false),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23450, 213, 23447, 23445])).
% 9.16/6.61 tff(23452,plain,((~until5(s132)) | xuntil6(s143) | m_main_v_state(s144, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.16/6.61 tff(23453,plain,
% 9.16/6.61 (m_main_v_state(s144, c_busy)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23452, 22931, 22355])).
% 9.16/6.61 tff(23454,plain,
% 9.16/6.61 ($false),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[22923, 170, 22893, 23453])).
% 9.16/6.61 tff(23455,plain,(xuntil6(s144) | (~until5(s132))), inference(lemma,lemma(discharge,[]))).
% 9.16/6.61 tff(23456,plain,
% 9.16/6.61 (xuntil6(s144)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23455, 22354])).
% 9.16/6.61 tff(23457,plain,
% 9.16/6.61 (until5(s145)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8382, 23456])).
% 9.16/6.61 tff(23458,assumption,(~xuntil6(s146)), introduced(assumption)).
% 9.16/6.61 tff(23459,assumption,(~always3(s146)), introduced(assumption)).
% 9.16/6.61 tff(23460,plain,
% 9.16/6.61 (~always3(s145)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8362, 23459])).
% 9.16/6.61 tff(23461,plain,
% 9.16/6.61 (~node4(s145)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8366, 22, 23460])).
% 9.16/6.61 tff(23462,plain,
% 9.16/6.61 (~node4(s146)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8337, 22, 23459])).
% 9.16/6.61 tff(23463,plain,
% 9.16/6.61 (node4(s146) | (~until5(s146))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8344, 36, 23458])).
% 9.16/6.61 tff(23464,plain,
% 9.16/6.61 (~until5(s146)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23463, 23462])).
% 9.16/6.61 tff(23465,plain,
% 9.16/6.61 (~xuntil6(s145)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8353, 23464])).
% 9.16/6.61 tff(23466,plain,
% 9.16/6.61 (~until5(s145)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8373, 36, 23465, 23461])).
% 9.16/6.61 tff(23467,plain,
% 9.16/6.61 (~xuntil6(s144)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8382, 23466])).
% 9.16/6.61 tff(23468,plain,
% 9.16/6.61 (~always3(s144)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8391, 23460])).
% 9.16/6.61 tff(23469,plain,
% 9.16/6.61 (~node4(s144)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8395, 22, 23468])).
% 9.16/6.61 tff(23470,plain,
% 9.16/6.61 (xuntil6(s144) | (~until5(s144))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8402, 36, 23469])).
% 9.16/6.61 tff(23471,plain,
% 9.16/6.61 (~until5(s144)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23470, 23467])).
% 9.16/6.61 tff(23472,plain,
% 9.16/6.61 (~xuntil6(s143)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8411, 23471])).
% 9.16/6.61 tff(23473,plain,
% 9.16/6.61 (~always3(s143)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8420, 23468])).
% 9.16/6.61 tff(23474,plain,
% 9.16/6.61 (~node4(s143)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8424, 22, 23473])).
% 9.16/6.61 tff(23475,plain,
% 9.16/6.61 (xuntil6(s143) | (~until5(s143))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8431, 36, 23474])).
% 9.16/6.61 tff(23476,plain,
% 9.16/6.61 (~until5(s143)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23475, 23472])).
% 9.16/6.61 tff(23477,plain,
% 9.16/6.61 (~xuntil6(s142)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8440, 23476])).
% 9.16/6.61 tff(23478,plain,
% 9.16/6.61 (~always3(s142)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8449, 23473])).
% 9.16/6.61 tff(23479,plain,
% 9.16/6.61 (~node4(s142)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8453, 22, 23478])).
% 9.16/6.61 tff(23480,plain,
% 9.16/6.61 (xuntil6(s142) | (~until5(s142))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8460, 36, 23479])).
% 9.16/6.61 tff(23481,plain,
% 9.16/6.61 (~until5(s142)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23480, 23477])).
% 9.16/6.61 tff(23482,plain,
% 9.16/6.61 (~xuntil6(s141)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8469, 23481])).
% 9.16/6.61 tff(23483,plain,
% 9.16/6.61 (~always3(s141)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8478, 23478])).
% 9.16/6.61 tff(23484,plain,
% 9.16/6.61 (~node4(s141)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8482, 22, 23483])).
% 9.16/6.61 tff(23485,plain,
% 9.16/6.61 (xuntil6(s141) | (~until5(s141))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8489, 36, 23484])).
% 9.16/6.61 tff(23486,plain,
% 9.16/6.61 (~until5(s141)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23485, 23482])).
% 9.16/6.61 tff(23487,plain,
% 9.16/6.61 (~xuntil6(s140)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8498, 23486])).
% 9.16/6.61 tff(23488,plain,
% 9.16/6.61 (~always3(s140)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8507, 23483])).
% 9.16/6.61 tff(23489,plain,
% 9.16/6.61 (~node4(s140)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8511, 22, 23488])).
% 9.16/6.61 tff(23490,plain,
% 9.16/6.61 (xuntil6(s140) | (~until5(s140))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8518, 36, 23489])).
% 9.16/6.61 tff(23491,plain,
% 9.16/6.61 (~until5(s140)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23490, 23487])).
% 9.16/6.61 tff(23492,plain,
% 9.16/6.61 (~xuntil6(s139)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8527, 23491])).
% 9.16/6.61 tff(23493,plain,
% 9.16/6.61 (~always3(s139)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8536, 23488])).
% 9.16/6.61 tff(23494,plain,
% 9.16/6.61 (~node4(s139)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8540, 22, 23493])).
% 9.16/6.61 tff(23495,plain,
% 9.16/6.61 (xuntil6(s139) | (~until5(s139))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8547, 36, 23494])).
% 9.16/6.61 tff(23496,plain,
% 9.16/6.61 (~until5(s139)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23495, 23492])).
% 9.16/6.61 tff(23497,plain,
% 9.16/6.61 (~xuntil6(s138)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8556, 23496])).
% 9.16/6.61 tff(23498,plain,
% 9.16/6.61 (~always3(s138)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8565, 23493])).
% 9.16/6.61 tff(23499,plain,
% 9.16/6.61 (~node4(s138)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8569, 22, 23498])).
% 9.16/6.61 tff(23500,plain,
% 9.16/6.61 (xuntil6(s138) | (~until5(s138))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8576, 36, 23499])).
% 9.16/6.61 tff(23501,plain,
% 9.16/6.61 (~until5(s138)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23500, 23497])).
% 9.16/6.61 tff(23502,plain,
% 9.16/6.61 (~xuntil6(s137)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8585, 23501])).
% 9.16/6.61 tff(23503,plain,
% 9.16/6.61 (~always3(s137)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8594, 23498])).
% 9.16/6.61 tff(23504,plain,
% 9.16/6.61 (~node4(s137)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8598, 22, 23503])).
% 9.16/6.61 tff(23505,plain,
% 9.16/6.61 (xuntil6(s137) | (~until5(s137))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8605, 36, 23504])).
% 9.16/6.61 tff(23506,plain,
% 9.16/6.61 (~until5(s137)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23505, 23502])).
% 9.16/6.61 tff(23507,plain,
% 9.16/6.61 (~xuntil6(s136)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10896, 23506])).
% 9.16/6.61 tff(23508,plain,
% 9.16/6.61 (~always3(s136)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8618, 23503])).
% 9.16/6.61 tff(23509,plain,
% 9.16/6.61 (~node4(s136)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10883, 22, 23508])).
% 9.16/6.61 tff(23510,plain,
% 9.16/6.61 (xuntil6(s136) | (~until5(s136))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10890, 36, 23509])).
% 9.16/6.61 tff(23511,plain,
% 9.16/6.61 (~until5(s136)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23510, 23507])).
% 9.16/6.61 tff(23512,plain,
% 9.16/6.61 (~xuntil6(s135)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10879, 23511])).
% 9.16/6.61 tff(23513,plain,
% 9.16/6.61 (~always3(s135)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8630, 23508])).
% 9.16/6.61 tff(23514,plain,
% 9.16/6.61 (~node4(s135)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10866, 22, 23513])).
% 9.16/6.61 tff(23515,plain,
% 9.16/6.61 (xuntil6(s135) | (~until5(s135))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10873, 36, 23514])).
% 9.16/6.61 tff(23516,plain,
% 9.16/6.61 (~until5(s135)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23515, 23512])).
% 9.16/6.61 tff(23517,plain,
% 9.16/6.61 (~xuntil6(s134)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10862, 23516])).
% 9.16/6.61 tff(23518,plain,
% 9.16/6.61 (~always3(s134)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8642, 23513])).
% 9.16/6.61 tff(23519,plain,
% 9.16/6.61 (~node4(s134)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10849, 22, 23518])).
% 9.16/6.61 tff(23520,plain,
% 9.16/6.61 (xuntil6(s134) | (~until5(s134))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10856, 36, 23519])).
% 9.16/6.61 tff(23521,plain,
% 9.16/6.61 (~until5(s134)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23520, 23517])).
% 9.16/6.61 tff(23522,plain,
% 9.16/6.61 (~xuntil6(s133)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10845, 23521])).
% 9.16/6.61 tff(23523,plain,
% 9.16/6.61 (~always3(s133)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8654, 23518])).
% 9.16/6.61 tff(23524,plain,
% 9.16/6.61 (~node4(s133)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10832, 22, 23523])).
% 9.16/6.61 tff(23525,plain,
% 9.16/6.61 (xuntil6(s133) | (~until5(s133))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10839, 36, 23524])).
% 9.16/6.61 tff(23526,plain,
% 9.16/6.61 (~until5(s133)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23525, 23522])).
% 9.16/6.61 tff(23527,plain,
% 9.16/6.61 (~xuntil6(s132)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10828, 23526])).
% 9.16/6.61 tff(23528,plain,
% 9.16/6.61 (~always3(s132)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8666, 23523])).
% 9.16/6.61 tff(23529,plain,
% 9.16/6.61 (~node4(s132)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10815, 22, 23528])).
% 9.16/6.61 tff(23530,plain,
% 9.16/6.61 (xuntil6(s132) | (~until5(s132))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10822, 36, 23529])).
% 9.16/6.61 tff(23531,plain,
% 9.16/6.61 (~until5(s132)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23530, 23527])).
% 9.16/6.61 tff(23532,plain,
% 9.16/6.61 (~xuntil6(s131)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10811, 23531])).
% 9.16/6.61 tff(23533,plain,
% 9.16/6.61 (~always3(s131)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8678, 23528])).
% 9.16/6.61 tff(23534,plain,
% 9.16/6.61 (~node4(s131)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10798, 22, 23533])).
% 9.16/6.61 tff(23535,plain,
% 9.16/6.61 (xuntil6(s131) | (~until5(s131))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10805, 36, 23534])).
% 9.16/6.61 tff(23536,plain,
% 9.16/6.61 (~until5(s131)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23535, 23532])).
% 9.16/6.61 tff(23537,plain,
% 9.16/6.61 (~xuntil6(s130)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10794, 23536])).
% 9.16/6.61 tff(23538,plain,
% 9.16/6.61 (~always3(s130)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8690, 23533])).
% 9.16/6.61 tff(23539,plain,
% 9.16/6.61 (~node4(s130)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10781, 22, 23538])).
% 9.16/6.61 tff(23540,plain,
% 9.16/6.61 (xuntil6(s130) | (~until5(s130))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10788, 36, 23539])).
% 9.16/6.61 tff(23541,plain,
% 9.16/6.61 (~until5(s130)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23540, 23537])).
% 9.16/6.61 tff(23542,plain,
% 9.16/6.61 (~xuntil6(s129)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10777, 23541])).
% 9.16/6.61 tff(23543,plain,
% 9.16/6.61 (~always3(s129)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8702, 23538])).
% 9.16/6.61 tff(23544,plain,
% 9.16/6.61 (~node4(s129)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10764, 22, 23543])).
% 9.16/6.61 tff(23545,plain,
% 9.16/6.61 (xuntil6(s129) | (~until5(s129))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10771, 36, 23544])).
% 9.16/6.61 tff(23546,plain,
% 9.16/6.61 (~until5(s129)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23545, 23542])).
% 9.16/6.61 tff(23547,plain,
% 9.16/6.61 (~xuntil6(s128)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10760, 23546])).
% 9.16/6.61 tff(23548,plain,
% 9.16/6.61 (~always3(s128)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8714, 23543])).
% 9.16/6.61 tff(23549,plain,
% 9.16/6.61 (~node4(s128)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10747, 22, 23548])).
% 9.16/6.61 tff(23550,plain,
% 9.16/6.61 (xuntil6(s128) | (~until5(s128))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10754, 36, 23549])).
% 9.16/6.61 tff(23551,plain,
% 9.16/6.61 (~until5(s128)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23550, 23547])).
% 9.16/6.61 tff(23552,plain,
% 9.16/6.61 (~xuntil6(s127)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10743, 23551])).
% 9.16/6.61 tff(23553,plain,
% 9.16/6.61 (~always3(s127)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8726, 23548])).
% 9.16/6.61 tff(23554,plain,
% 9.16/6.61 (~node4(s127)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10730, 22, 23553])).
% 9.16/6.61 tff(23555,plain,
% 9.16/6.61 (xuntil6(s127) | (~until5(s127))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10737, 36, 23554])).
% 9.16/6.61 tff(23556,plain,
% 9.16/6.61 (~until5(s127)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23555, 23552])).
% 9.16/6.61 tff(23557,plain,
% 9.16/6.61 (~xuntil6(s126)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10726, 23556])).
% 9.16/6.61 tff(23558,plain,
% 9.16/6.61 (~always3(s126)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8738, 23553])).
% 9.16/6.61 tff(23559,plain,
% 9.16/6.61 (~node4(s126)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10713, 22, 23558])).
% 9.16/6.61 tff(23560,plain,
% 9.16/6.61 (xuntil6(s126) | (~until5(s126))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10720, 36, 23559])).
% 9.16/6.61 tff(23561,plain,
% 9.16/6.61 (~until5(s126)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23560, 23557])).
% 9.16/6.61 tff(23562,plain,
% 9.16/6.61 (~xuntil6(s125)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10709, 23561])).
% 9.16/6.61 tff(23563,plain,
% 9.16/6.61 (~always3(s125)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8750, 23558])).
% 9.16/6.61 tff(23564,plain,
% 9.16/6.61 (~node4(s125)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10696, 22, 23563])).
% 9.16/6.61 tff(23565,plain,
% 9.16/6.61 (xuntil6(s125) | (~until5(s125))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10703, 36, 23564])).
% 9.16/6.61 tff(23566,plain,
% 9.16/6.61 (~until5(s125)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23565, 23562])).
% 9.16/6.61 tff(23567,plain,
% 9.16/6.61 (~xuntil6(s124)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10692, 23566])).
% 9.16/6.61 tff(23568,plain,
% 9.16/6.61 (~always3(s124)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8762, 23563])).
% 9.16/6.61 tff(23569,plain,
% 9.16/6.61 (~node4(s124)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10679, 22, 23568])).
% 9.16/6.61 tff(23570,plain,
% 9.16/6.61 (xuntil6(s124) | (~until5(s124))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10686, 36, 23569])).
% 9.16/6.61 tff(23571,plain,
% 9.16/6.61 (~until5(s124)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23570, 23567])).
% 9.16/6.61 tff(23572,plain,
% 9.16/6.61 (~xuntil6(s123)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10675, 23571])).
% 9.16/6.61 tff(23573,plain,
% 9.16/6.61 (~always3(s123)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8774, 23568])).
% 9.16/6.61 tff(23574,plain,
% 9.16/6.61 (~node4(s123)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10662, 22, 23573])).
% 9.16/6.61 tff(23575,plain,
% 9.16/6.61 (xuntil6(s123) | (~until5(s123))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10669, 36, 23574])).
% 9.16/6.61 tff(23576,plain,
% 9.16/6.61 (~until5(s123)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23575, 23572])).
% 9.16/6.61 tff(23577,plain,
% 9.16/6.61 (~xuntil6(s122)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10658, 23576])).
% 9.16/6.61 tff(23578,plain,
% 9.16/6.61 (~always3(s122)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8786, 23573])).
% 9.16/6.61 tff(23579,plain,
% 9.16/6.61 (~node4(s122)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10645, 22, 23578])).
% 9.16/6.61 tff(23580,plain,
% 9.16/6.61 (xuntil6(s122) | (~until5(s122))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10652, 36, 23579])).
% 9.16/6.61 tff(23581,plain,
% 9.16/6.61 (~until5(s122)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23580, 23577])).
% 9.16/6.61 tff(23582,plain,
% 9.16/6.61 (~xuntil6(s121)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10641, 23581])).
% 9.16/6.61 tff(23583,plain,
% 9.16/6.61 (~always3(s121)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8798, 23578])).
% 9.16/6.61 tff(23584,plain,
% 9.16/6.61 (~node4(s121)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10628, 22, 23583])).
% 9.16/6.61 tff(23585,plain,
% 9.16/6.61 (xuntil6(s121) | (~until5(s121))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10635, 36, 23584])).
% 9.16/6.61 tff(23586,plain,
% 9.16/6.61 (~until5(s121)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23585, 23582])).
% 9.16/6.61 tff(23587,plain,
% 9.16/6.61 (~xuntil6(s120)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10624, 23586])).
% 9.16/6.61 tff(23588,plain,
% 9.16/6.61 (~always3(s120)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8810, 23583])).
% 9.16/6.61 tff(23589,plain,
% 9.16/6.61 (~node4(s120)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10611, 22, 23588])).
% 9.16/6.61 tff(23590,plain,
% 9.16/6.61 (xuntil6(s120) | (~until5(s120))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10618, 36, 23589])).
% 9.16/6.61 tff(23591,plain,
% 9.16/6.61 (~until5(s120)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23590, 23587])).
% 9.16/6.61 tff(23592,plain,
% 9.16/6.61 (~xuntil6(s119)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10607, 23591])).
% 9.16/6.61 tff(23593,plain,
% 9.16/6.61 (~always3(s119)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8822, 23588])).
% 9.16/6.61 tff(23594,plain,
% 9.16/6.61 (~node4(s119)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10594, 22, 23593])).
% 9.16/6.61 tff(23595,plain,
% 9.16/6.61 (xuntil6(s119) | (~until5(s119))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10601, 36, 23594])).
% 9.16/6.61 tff(23596,plain,
% 9.16/6.61 (~until5(s119)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23595, 23592])).
% 9.16/6.61 tff(23597,plain,
% 9.16/6.61 (~xuntil6(s118)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10590, 23596])).
% 9.16/6.61 tff(23598,plain,
% 9.16/6.61 (~always3(s118)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8834, 23593])).
% 9.16/6.61 tff(23599,plain,
% 9.16/6.61 (~node4(s118)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10577, 22, 23598])).
% 9.16/6.61 tff(23600,plain,
% 9.16/6.61 (xuntil6(s118) | (~until5(s118))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10584, 36, 23599])).
% 9.16/6.61 tff(23601,plain,
% 9.16/6.61 (~until5(s118)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23600, 23597])).
% 9.16/6.61 tff(23602,plain,
% 9.16/6.61 (~xuntil6(s117)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10573, 23601])).
% 9.16/6.61 tff(23603,plain,
% 9.16/6.61 (~always3(s117)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8846, 23598])).
% 9.16/6.61 tff(23604,plain,
% 9.16/6.61 (~node4(s117)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10560, 22, 23603])).
% 9.16/6.61 tff(23605,plain,
% 9.16/6.61 (xuntil6(s117) | (~until5(s117))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10567, 36, 23604])).
% 9.16/6.61 tff(23606,plain,
% 9.16/6.61 (~until5(s117)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23605, 23602])).
% 9.16/6.61 tff(23607,plain,
% 9.16/6.61 (~xuntil6(s116)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10556, 23606])).
% 9.16/6.61 tff(23608,plain,
% 9.16/6.61 (~always3(s116)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8858, 23603])).
% 9.16/6.61 tff(23609,plain,
% 9.16/6.61 (~node4(s116)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10543, 22, 23608])).
% 9.16/6.61 tff(23610,plain,
% 9.16/6.61 (xuntil6(s116) | (~until5(s116))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10550, 36, 23609])).
% 9.16/6.61 tff(23611,plain,
% 9.16/6.61 (~until5(s116)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23610, 23607])).
% 9.16/6.61 tff(23612,plain,
% 9.16/6.61 (~xuntil6(s115)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10539, 23611])).
% 9.16/6.61 tff(23613,plain,
% 9.16/6.61 (~always3(s115)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8870, 23608])).
% 9.16/6.61 tff(23614,plain,
% 9.16/6.61 (~node4(s115)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10526, 22, 23613])).
% 9.16/6.61 tff(23615,plain,
% 9.16/6.61 (xuntil6(s115) | (~until5(s115))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10533, 36, 23614])).
% 9.16/6.61 tff(23616,plain,
% 9.16/6.61 (~until5(s115)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23615, 23612])).
% 9.16/6.61 tff(23617,plain,
% 9.16/6.61 (~xuntil6(s114)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10522, 23616])).
% 9.16/6.61 tff(23618,plain,
% 9.16/6.61 (~always3(s114)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8882, 23613])).
% 9.16/6.61 tff(23619,plain,
% 9.16/6.61 (~node4(s114)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10509, 22, 23618])).
% 9.16/6.61 tff(23620,plain,
% 9.16/6.61 (xuntil6(s114) | (~until5(s114))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10516, 36, 23619])).
% 9.16/6.61 tff(23621,plain,
% 9.16/6.61 (~until5(s114)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23620, 23617])).
% 9.16/6.61 tff(23622,plain,
% 9.16/6.61 (~xuntil6(s113)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10505, 23621])).
% 9.16/6.61 tff(23623,plain,
% 9.16/6.61 (~always3(s113)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8894, 23618])).
% 9.16/6.61 tff(23624,plain,
% 9.16/6.61 (~node4(s113)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10492, 22, 23623])).
% 9.16/6.61 tff(23625,plain,
% 9.16/6.61 (xuntil6(s113) | (~until5(s113))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10499, 36, 23624])).
% 9.16/6.61 tff(23626,plain,
% 9.16/6.61 (~until5(s113)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23625, 23622])).
% 9.16/6.61 tff(23627,plain,
% 9.16/6.61 (~xuntil6(s112)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10488, 23626])).
% 9.16/6.61 tff(23628,plain,
% 9.16/6.61 (~always3(s112)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8906, 23623])).
% 9.16/6.61 tff(23629,plain,
% 9.16/6.61 (~node4(s112)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10475, 22, 23628])).
% 9.16/6.61 tff(23630,plain,
% 9.16/6.61 (xuntil6(s112) | (~until5(s112))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10482, 36, 23629])).
% 9.16/6.61 tff(23631,plain,
% 9.16/6.61 (~until5(s112)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23630, 23627])).
% 9.16/6.61 tff(23632,plain,
% 9.16/6.61 (~xuntil6(s111)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10471, 23631])).
% 9.16/6.61 tff(23633,plain,
% 9.16/6.61 (~always3(s111)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8918, 23628])).
% 9.16/6.61 tff(23634,plain,
% 9.16/6.61 (~node4(s111)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10458, 22, 23633])).
% 9.16/6.61 tff(23635,plain,
% 9.16/6.61 (xuntil6(s111) | (~until5(s111))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10465, 36, 23634])).
% 9.16/6.61 tff(23636,plain,
% 9.16/6.61 (~until5(s111)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23635, 23632])).
% 9.16/6.61 tff(23637,plain,
% 9.16/6.61 (~xuntil6(s110)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10454, 23636])).
% 9.16/6.61 tff(23638,plain,
% 9.16/6.61 (~always3(s110)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8930, 23633])).
% 9.16/6.61 tff(23639,plain,
% 9.16/6.61 (~node4(s110)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10441, 22, 23638])).
% 9.16/6.61 tff(23640,plain,
% 9.16/6.61 (xuntil6(s110) | (~until5(s110))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10448, 36, 23639])).
% 9.16/6.61 tff(23641,plain,
% 9.16/6.61 (~until5(s110)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23640, 23637])).
% 9.16/6.61 tff(23642,plain,
% 9.16/6.61 (~xuntil6(s109)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10437, 23641])).
% 9.16/6.61 tff(23643,plain,
% 9.16/6.61 (~always3(s109)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8942, 23638])).
% 9.16/6.61 tff(23644,plain,
% 9.16/6.61 (~node4(s109)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10424, 22, 23643])).
% 9.16/6.61 tff(23645,plain,
% 9.16/6.61 (xuntil6(s109) | (~until5(s109))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10431, 36, 23644])).
% 9.16/6.61 tff(23646,plain,
% 9.16/6.61 (~until5(s109)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23645, 23642])).
% 9.16/6.61 tff(23647,plain,
% 9.16/6.61 (~xuntil6(s108)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10420, 23646])).
% 9.16/6.61 tff(23648,plain,
% 9.16/6.61 (~always3(s108)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8954, 23643])).
% 9.16/6.61 tff(23649,plain,
% 9.16/6.61 (~node4(s108)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10407, 22, 23648])).
% 9.16/6.61 tff(23650,plain,
% 9.16/6.61 (xuntil6(s108) | (~until5(s108))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10414, 36, 23649])).
% 9.16/6.61 tff(23651,plain,
% 9.16/6.61 (~until5(s108)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23650, 23647])).
% 9.16/6.61 tff(23652,plain,
% 9.16/6.61 (~xuntil6(s107)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10403, 23651])).
% 9.16/6.61 tff(23653,plain,
% 9.16/6.61 (~always3(s107)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8966, 23648])).
% 9.16/6.61 tff(23654,plain,
% 9.16/6.61 (~node4(s107)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10390, 22, 23653])).
% 9.16/6.61 tff(23655,plain,
% 9.16/6.61 (xuntil6(s107) | (~until5(s107))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10397, 36, 23654])).
% 9.16/6.61 tff(23656,plain,
% 9.16/6.61 (~until5(s107)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23655, 23652])).
% 9.16/6.61 tff(23657,plain,
% 9.16/6.61 (~xuntil6(s106)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10386, 23656])).
% 9.16/6.61 tff(23658,plain,
% 9.16/6.61 (~always3(s106)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8978, 23653])).
% 9.16/6.61 tff(23659,plain,
% 9.16/6.61 (~node4(s106)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10373, 22, 23658])).
% 9.16/6.61 tff(23660,plain,
% 9.16/6.61 (xuntil6(s106) | (~until5(s106))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10380, 36, 23659])).
% 9.16/6.61 tff(23661,plain,
% 9.16/6.61 (~until5(s106)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23660, 23657])).
% 9.16/6.61 tff(23662,plain,
% 9.16/6.61 (~xuntil6(s105)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10369, 23661])).
% 9.16/6.61 tff(23663,plain,
% 9.16/6.61 (~always3(s105)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8990, 23658])).
% 9.16/6.61 tff(23664,plain,
% 9.16/6.61 (~node4(s105)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10356, 22, 23663])).
% 9.16/6.61 tff(23665,plain,
% 9.16/6.61 (xuntil6(s105) | (~until5(s105))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10363, 36, 23664])).
% 9.16/6.61 tff(23666,plain,
% 9.16/6.61 (~until5(s105)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23665, 23662])).
% 9.16/6.61 tff(23667,plain,
% 9.16/6.61 (~xuntil6(s104)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10352, 23666])).
% 9.16/6.61 tff(23668,plain,
% 9.16/6.61 (~always3(s104)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9002, 23663])).
% 9.16/6.61 tff(23669,plain,
% 9.16/6.61 (~node4(s104)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10339, 22, 23668])).
% 9.16/6.61 tff(23670,plain,
% 9.16/6.61 (xuntil6(s104) | (~until5(s104))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10346, 36, 23669])).
% 9.16/6.61 tff(23671,plain,
% 9.16/6.61 (~until5(s104)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23670, 23667])).
% 9.16/6.61 tff(23672,plain,
% 9.16/6.61 (~xuntil6(s103)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10335, 23671])).
% 9.16/6.61 tff(23673,plain,
% 9.16/6.61 (~always3(s103)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9014, 23668])).
% 9.16/6.61 tff(23674,plain,
% 9.16/6.61 (~node4(s103)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10322, 22, 23673])).
% 9.16/6.61 tff(23675,plain,
% 9.16/6.61 (xuntil6(s103) | (~until5(s103))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10329, 36, 23674])).
% 9.16/6.61 tff(23676,plain,
% 9.16/6.61 (~until5(s103)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23675, 23672])).
% 9.16/6.61 tff(23677,plain,
% 9.16/6.61 (~xuntil6(s102)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10318, 23676])).
% 9.16/6.61 tff(23678,plain,
% 9.16/6.61 (~always3(s102)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9026, 23673])).
% 9.16/6.61 tff(23679,plain,
% 9.16/6.61 (~node4(s102)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10305, 22, 23678])).
% 9.16/6.61 tff(23680,plain,
% 9.16/6.61 (xuntil6(s102) | (~until5(s102))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10312, 36, 23679])).
% 9.16/6.61 tff(23681,plain,
% 9.16/6.61 (~until5(s102)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23680, 23677])).
% 9.16/6.61 tff(23682,plain,
% 9.16/6.61 (~xuntil6(s101)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10301, 23681])).
% 9.16/6.61 tff(23683,plain,
% 9.16/6.61 (~always3(s101)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9038, 23678])).
% 9.16/6.61 tff(23684,plain,
% 9.16/6.61 (~node4(s101)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10288, 22, 23683])).
% 9.16/6.61 tff(23685,plain,
% 9.16/6.61 (xuntil6(s101) | (~until5(s101))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10295, 36, 23684])).
% 9.16/6.61 tff(23686,plain,
% 9.16/6.61 (~until5(s101)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23685, 23682])).
% 9.16/6.61 tff(23687,plain,
% 9.16/6.61 (~xuntil6(s100)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10284, 23686])).
% 9.16/6.61 tff(23688,plain,
% 9.16/6.61 (~always3(s100)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9050, 23683])).
% 9.16/6.61 tff(23689,plain,
% 9.16/6.61 (~node4(s100)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10271, 22, 23688])).
% 9.16/6.61 tff(23690,plain,
% 9.16/6.61 (xuntil6(s100) | (~until5(s100))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10278, 36, 23689])).
% 9.16/6.61 tff(23691,plain,
% 9.16/6.61 (~until5(s100)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23690, 23687])).
% 9.16/6.61 tff(23692,plain,
% 9.16/6.61 (~xuntil6(s99)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10267, 23691])).
% 9.16/6.61 tff(23693,plain,
% 9.16/6.61 (~always3(s99)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9062, 23688])).
% 9.16/6.61 tff(23694,plain,
% 9.16/6.61 (~node4(s99)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10254, 22, 23693])).
% 9.16/6.61 tff(23695,plain,
% 9.16/6.61 (xuntil6(s99) | (~until5(s99))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10261, 36, 23694])).
% 9.16/6.61 tff(23696,plain,
% 9.16/6.61 (~until5(s99)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23695, 23692])).
% 9.16/6.61 tff(23697,plain,
% 9.16/6.61 (~xuntil6(s98)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10250, 23696])).
% 9.16/6.61 tff(23698,plain,
% 9.16/6.61 (~always3(s98)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9074, 23693])).
% 9.16/6.61 tff(23699,plain,
% 9.16/6.61 (~node4(s98)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10237, 22, 23698])).
% 9.16/6.61 tff(23700,plain,
% 9.16/6.61 (xuntil6(s98) | (~until5(s98))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10244, 36, 23699])).
% 9.16/6.61 tff(23701,plain,
% 9.16/6.61 (~until5(s98)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23700, 23697])).
% 9.16/6.61 tff(23702,plain,
% 9.16/6.61 (~xuntil6(s97)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10233, 23701])).
% 9.16/6.61 tff(23703,plain,
% 9.16/6.61 (~always3(s97)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9086, 23698])).
% 9.16/6.61 tff(23704,plain,
% 9.16/6.61 (~node4(s97)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10220, 22, 23703])).
% 9.16/6.61 tff(23705,plain,
% 9.16/6.61 (xuntil6(s97) | (~until5(s97))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10227, 36, 23704])).
% 9.16/6.61 tff(23706,plain,
% 9.16/6.61 (~until5(s97)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23705, 23702])).
% 9.16/6.61 tff(23707,plain,
% 9.16/6.61 (~xuntil6(s96)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10216, 23706])).
% 9.16/6.61 tff(23708,plain,
% 9.16/6.61 (~always3(s96)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9098, 23703])).
% 9.16/6.61 tff(23709,plain,
% 9.16/6.61 (~node4(s96)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10203, 22, 23708])).
% 9.16/6.61 tff(23710,plain,
% 9.16/6.61 (xuntil6(s96) | (~until5(s96))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10210, 36, 23709])).
% 9.16/6.61 tff(23711,plain,
% 9.16/6.61 (~until5(s96)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23710, 23707])).
% 9.16/6.61 tff(23712,plain,
% 9.16/6.61 (~xuntil6(s95)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10199, 23711])).
% 9.16/6.61 tff(23713,plain,
% 9.16/6.61 (~always3(s95)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9110, 23708])).
% 9.16/6.61 tff(23714,plain,
% 9.16/6.61 (~node4(s95)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10186, 22, 23713])).
% 9.16/6.61 tff(23715,plain,
% 9.16/6.61 (xuntil6(s95) | (~until5(s95))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10193, 36, 23714])).
% 9.16/6.61 tff(23716,plain,
% 9.16/6.61 (~until5(s95)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23715, 23712])).
% 9.16/6.61 tff(23717,plain,
% 9.16/6.61 (~xuntil6(s94)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10182, 23716])).
% 9.16/6.61 tff(23718,plain,
% 9.16/6.61 (~always3(s94)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9122, 23713])).
% 9.16/6.61 tff(23719,plain,
% 9.16/6.61 (~node4(s94)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10169, 22, 23718])).
% 9.16/6.61 tff(23720,plain,
% 9.16/6.61 (xuntil6(s94) | (~until5(s94))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10176, 36, 23719])).
% 9.16/6.61 tff(23721,plain,
% 9.16/6.61 (~until5(s94)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23720, 23717])).
% 9.16/6.61 tff(23722,plain,
% 9.16/6.61 (~xuntil6(s93)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10165, 23721])).
% 9.16/6.61 tff(23723,plain,
% 9.16/6.61 (~always3(s93)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9134, 23718])).
% 9.16/6.61 tff(23724,plain,
% 9.16/6.61 (~node4(s93)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10152, 22, 23723])).
% 9.16/6.61 tff(23725,plain,
% 9.16/6.61 (xuntil6(s93) | (~until5(s93))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10159, 36, 23724])).
% 9.16/6.61 tff(23726,plain,
% 9.16/6.61 (~until5(s93)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23725, 23722])).
% 9.16/6.61 tff(23727,plain,
% 9.16/6.61 (~xuntil6(s92)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10148, 23726])).
% 9.16/6.61 tff(23728,plain,
% 9.16/6.61 (~always3(s92)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9146, 23723])).
% 9.16/6.61 tff(23729,plain,
% 9.16/6.61 (~always3(s91)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9158, 23728])).
% 9.16/6.61 tff(23730,plain,
% 9.16/6.61 (~always3(s90)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9170, 23729])).
% 9.16/6.61 tff(23731,plain,
% 9.16/6.61 (~always3(s89)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9182, 23730])).
% 9.16/6.61 tff(23732,plain,
% 9.16/6.61 (~always3(s88)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9194, 23731])).
% 9.16/6.61 tff(23733,plain,
% 9.16/6.61 (~always3(s87)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9206, 23732])).
% 9.16/6.61 tff(23734,plain,
% 9.16/6.61 (~always3(s86)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9218, 23733])).
% 9.16/6.61 tff(23735,plain,
% 9.16/6.61 (~always3(s85)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9230, 23734])).
% 9.16/6.61 tff(23736,plain,
% 9.16/6.61 (~always3(s84)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9242, 23735])).
% 9.16/6.61 tff(23737,plain,
% 9.16/6.61 (~always3(s83)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9254, 23736])).
% 9.16/6.61 tff(23738,plain,
% 9.16/6.61 (~always3(s82)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9266, 23737])).
% 9.16/6.61 tff(23739,plain,
% 9.16/6.61 (~always3(s81)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9278, 23738])).
% 9.16/6.61 tff(23740,plain,
% 9.16/6.61 (~always3(s80)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9290, 23739])).
% 9.16/6.61 tff(23741,plain,
% 9.16/6.61 (~always3(s79)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9302, 23740])).
% 9.16/6.61 tff(23742,plain,
% 9.16/6.61 (~always3(s78)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9314, 23741])).
% 9.16/6.61 tff(23743,plain,
% 9.16/6.61 (~always3(s77)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9326, 23742])).
% 9.16/6.61 tff(23744,plain,
% 9.16/6.61 (~always3(s76)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9338, 23743])).
% 9.16/6.61 tff(23745,plain,
% 9.16/6.61 (~always3(s75)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9350, 23744])).
% 9.16/6.61 tff(23746,plain,
% 9.16/6.61 (~always3(s74)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9362, 23745])).
% 9.16/6.61 tff(23747,plain,
% 9.16/6.61 (~always3(s73)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9374, 23746])).
% 9.16/6.61 tff(23748,plain,
% 9.16/6.61 (~always3(s72)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9386, 23747])).
% 9.16/6.61 tff(23749,plain,
% 9.16/6.61 (~always3(s71)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9398, 23748])).
% 9.16/6.61 tff(23750,plain,
% 9.16/6.61 (~always3(s70)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9410, 23749])).
% 9.16/6.61 tff(23751,plain,
% 9.16/6.61 (~always3(s69)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9422, 23750])).
% 9.16/6.61 tff(23752,plain,
% 9.16/6.61 (~always3(s68)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9434, 23751])).
% 9.16/6.61 tff(23753,plain,
% 9.16/6.61 (~always3(s67)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9446, 23752])).
% 9.16/6.61 tff(23754,plain,
% 9.16/6.61 (~always3(s66)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9458, 23753])).
% 9.16/6.61 tff(23755,plain,
% 9.16/6.61 (~always3(s65)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9470, 23754])).
% 9.16/6.61 tff(23756,plain,
% 9.16/6.61 (~always3(s64)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9482, 23755])).
% 9.16/6.61 tff(23757,plain,
% 9.16/6.61 (~always3(s63)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9494, 23756])).
% 9.16/6.61 tff(23758,plain,
% 9.16/6.61 (~always3(s62)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9506, 23757])).
% 9.16/6.61 tff(23759,plain,
% 9.16/6.61 (~always3(s61)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9518, 23758])).
% 9.16/6.61 tff(23760,plain,
% 9.16/6.61 (~always3(s60)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9530, 23759])).
% 9.16/6.61 tff(23761,plain,
% 9.16/6.61 (~always3(s59)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9542, 23760])).
% 9.16/6.61 tff(23762,plain,
% 9.16/6.61 (~always3(s58)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9558, 23761])).
% 9.16/6.61 tff(23763,plain,
% 9.16/6.61 (~always3(s57)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[5004, 23762])).
% 9.16/6.61 tff(23764,plain,
% 9.16/6.61 (~always3(s56)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4870, 23763])).
% 9.16/6.61 tff(23765,plain,
% 9.16/6.61 (~always3(s55)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4750, 23764])).
% 9.16/6.61 tff(23766,plain,
% 9.16/6.61 (~always3(s54)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4602, 23765])).
% 9.16/6.61 tff(23767,plain,
% 9.16/6.61 (~always3(s53)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4647, 23766])).
% 9.16/6.61 tff(23768,plain,
% 9.16/6.61 (~always3(s52)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4521, 23767])).
% 9.16/6.61 tff(23769,plain,
% 9.16/6.61 (~always3(s51)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4412, 23768])).
% 9.16/6.61 tff(23770,plain,
% 9.16/6.61 (~always3(s50)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4363, 23769])).
% 9.16/6.61 tff(23771,plain,
% 9.16/6.61 (~always3(s49)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3944, 23770])).
% 9.16/6.61 tff(23772,plain,
% 9.16/6.61 (~always3(s48)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3754, 23771])).
% 9.16/6.61 tff(23773,plain,
% 9.16/6.61 (~always3(s47)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3799, 23772])).
% 9.16/6.61 tff(23774,plain,
% 9.16/6.61 (~always3(s46)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3828, 23773])).
% 9.16/6.61 tff(23775,plain,
% 9.16/6.61 (~always3(s45)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3857, 23774])).
% 9.16/6.61 tff(23776,plain,
% 9.16/6.61 (~always3(s44)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3886, 23775])).
% 9.16/6.61 tff(23777,plain,
% 9.16/6.61 (~always3(s43)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3705, 23776])).
% 9.16/6.61 tff(23778,plain,
% 9.16/6.61 (~always3(s42)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3618, 23777])).
% 9.16/6.61 tff(23779,plain,
% 9.16/6.61 (~always3(s41)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3559, 23778])).
% 9.16/6.61 tff(23780,plain,
% 9.16/6.61 (~always3(s40)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3474, 23779])).
% 9.16/6.61 tff(23781,plain,
% 9.16/6.61 (~always3(s39)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3424, 23780])).
% 9.16/6.61 tff(23782,plain,
% 9.16/6.61 (~node4(s39)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3428, 22, 23781])).
% 9.16/6.61 tff(23783,plain,
% 9.16/6.61 (~always3(s38)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3233, 23781])).
% 9.16/6.61 tff(23784,plain,
% 9.16/6.61 (~node4(s38)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3219, 22, 23783])).
% 9.16/6.61 tff(23785,plain,
% 9.16/6.61 (~always3(s37)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[2932, 23783])).
% 9.16/6.61 tff(23786,plain,
% 9.16/6.61 (xuntil6(s37)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3202, 23785])).
% 9.16/6.61 tff(23787,plain,
% 9.16/6.61 (until5(s38)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3207, 23786])).
% 9.16/6.61 tff(23788,plain,
% 9.16/6.61 (xuntil6(s38) | node4(s38)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3214, 36, 23787])).
% 9.16/6.61 tff(23789,plain,
% 9.16/6.61 (xuntil6(s38)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23788, 23784])).
% 9.16/6.61 tff(23790,plain,
% 9.16/6.61 (until5(s39)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3410, 23789])).
% 9.16/6.61 tff(23791,plain,
% 9.16/6.61 (xuntil6(s39)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3460, 36, 23790, 23782])).
% 9.16/6.61 tff(23792,plain,
% 9.16/6.61 (until5(s40)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3445, 23791])).
% 9.16/6.61 tff(23793,plain,
% 9.16/6.61 (~node4(s40)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3432, 22, 23780])).
% 9.16/6.61 tff(23794,plain,
% 9.16/6.61 (xuntil6(s40) | (~until5(s40))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3439, 36, 23793])).
% 9.16/6.61 tff(23795,plain,
% 9.16/6.61 (xuntil6(s40)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23794, 23792])).
% 9.16/6.61 tff(23796,plain,
% 9.16/6.61 (until5(s41)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3545, 23795])).
% 9.16/6.61 tff(23797,plain,
% 9.16/6.61 (~node4(s41)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3563, 22, 23779])).
% 9.16/6.61 tff(23798,plain,
% 9.16/6.61 (xuntil6(s41) | (~until5(s41))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3587, 36, 23797])).
% 9.16/6.61 tff(23799,plain,
% 9.16/6.61 (xuntil6(s41)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23798, 23796])).
% 9.16/6.61 tff(23800,plain,
% 9.16/6.61 (until5(s42)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3580, 23799])).
% 9.16/6.61 tff(23801,plain,
% 9.16/6.61 (~node4(s42)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3567, 22, 23778])).
% 9.16/6.61 tff(23802,plain,
% 9.16/6.61 (xuntil6(s42) | (~until5(s42))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3574, 36, 23801])).
% 9.16/6.61 tff(23803,plain,
% 9.16/6.61 (xuntil6(s42)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23802, 23800])).
% 9.16/6.61 tff(23804,plain,
% 9.16/6.61 (until5(s43)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3684, 23803])).
% 9.16/6.61 tff(23805,plain,
% 9.16/6.61 (~node4(s43)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3693, 22, 23777])).
% 9.16/6.61 tff(23806,plain,
% 9.16/6.61 (xuntil6(s43) | (~until5(s43))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3734, 36, 23805])).
% 9.16/6.61 tff(23807,plain,
% 9.16/6.61 (xuntil6(s43)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23806, 23804])).
% 9.16/6.61 tff(23808,plain,
% 9.16/6.61 (until5(s44)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3740, 23807])).
% 9.16/6.61 tff(23809,plain,
% 9.16/6.61 (~node4(s44)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3890, 22, 23776])).
% 9.16/6.61 tff(23810,plain,
% 9.16/6.61 (xuntil6(s44) | (~until5(s44))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3897, 36, 23809])).
% 9.16/6.61 tff(23811,plain,
% 9.16/6.61 (xuntil6(s44)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23810, 23808])).
% 9.16/6.61 tff(23812,plain,
% 9.16/6.61 (until5(s45)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3877, 23811])).
% 9.16/6.61 tff(23813,plain,
% 9.16/6.61 (~node4(s45)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3861, 22, 23775])).
% 9.16/6.61 tff(23814,plain,
% 9.16/6.61 (xuntil6(s45) | (~until5(s45))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3868, 36, 23813])).
% 9.16/6.61 tff(23815,plain,
% 9.16/6.61 (xuntil6(s45)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23814, 23812])).
% 9.16/6.61 tff(23816,plain,
% 9.16/6.61 (until5(s46)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3848, 23815])).
% 9.16/6.61 tff(23817,plain,
% 9.16/6.61 (~node4(s46)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3832, 22, 23774])).
% 9.16/6.61 tff(23818,plain,
% 9.16/6.61 (xuntil6(s46) | (~until5(s46))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3839, 36, 23817])).
% 9.16/6.61 tff(23819,plain,
% 9.16/6.61 (xuntil6(s46)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23818, 23816])).
% 9.16/6.61 tff(23820,plain,
% 9.16/6.61 (until5(s47)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3819, 23819])).
% 9.16/6.61 tff(23821,plain,
% 9.16/6.61 (~node4(s47)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3803, 22, 23773])).
% 9.16/6.61 tff(23822,plain,
% 9.16/6.61 (xuntil6(s47) | (~until5(s47))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3810, 36, 23821])).
% 9.16/6.61 tff(23823,plain,
% 9.16/6.61 (xuntil6(s47)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23822, 23820])).
% 9.16/6.61 tff(23824,plain,
% 9.16/6.61 (until5(s48)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3790, 23823])).
% 9.16/6.61 tff(23825,plain,
% 9.16/6.61 (~node4(s48)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3758, 22, 23772])).
% 9.16/6.61 tff(23826,plain,
% 9.16/6.61 (xuntil6(s48) | (~until5(s48))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3782, 36, 23825])).
% 9.16/6.61 tff(23827,plain,
% 9.16/6.61 (xuntil6(s48)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23826, 23824])).
% 9.16/6.61 tff(23828,plain,
% 9.16/6.61 (until5(s49)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3775, 23827])).
% 9.16/6.61 tff(23829,plain,
% 9.16/6.61 (~node4(s49)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3762, 22, 23771])).
% 9.16/6.61 tff(23830,plain,
% 9.16/6.61 (xuntil6(s49) | (~until5(s49))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[3769, 36, 23829])).
% 9.16/6.61 tff(23831,plain,
% 9.16/6.61 (xuntil6(s49)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23830, 23828])).
% 9.16/6.61 tff(23832,plain,
% 9.16/6.61 (until5(s50)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4342, 23831])).
% 9.16/6.61 tff(23833,plain,
% 9.16/6.61 (~node4(s50)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4351, 22, 23770])).
% 9.16/6.61 tff(23834,plain,
% 9.16/6.61 (xuntil6(s50) | (~until5(s50))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4392, 36, 23833])).
% 9.16/6.61 tff(23835,plain,
% 9.16/6.61 (xuntil6(s50)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23834, 23832])).
% 9.16/6.61 tff(23836,plain,
% 9.16/6.61 (until5(s51)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4398, 23835])).
% 9.16/6.61 tff(23837,plain,
% 9.16/6.61 (~node4(s51)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4416, 22, 23769])).
% 9.16/6.61 tff(23838,plain,
% 9.16/6.61 (xuntil6(s51) | (~until5(s51))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4440, 36, 23837])).
% 9.16/6.61 tff(23839,plain,
% 9.16/6.61 (xuntil6(s51)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23838, 23836])).
% 9.16/6.61 tff(23840,plain,
% 9.16/6.61 (until5(s52)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4433, 23839])).
% 9.16/6.61 tff(23841,plain,
% 9.16/6.61 (~node4(s52)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4420, 22, 23768])).
% 9.16/6.61 tff(23842,plain,
% 9.16/6.61 (xuntil6(s52) | (~until5(s52))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4427, 36, 23841])).
% 9.16/6.61 tff(23843,plain,
% 9.16/6.61 (xuntil6(s52)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23842, 23840])).
% 9.16/6.61 tff(23844,plain,
% 9.16/6.61 (until5(s53)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4587, 23843])).
% 9.16/6.61 tff(23845,plain,
% 9.16/6.61 (~node4(s53)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4651, 22, 23767])).
% 9.16/6.61 tff(23846,plain,
% 9.16/6.61 (xuntil6(s53) | (~until5(s53))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4658, 36, 23845])).
% 9.16/6.61 tff(23847,plain,
% 9.16/6.61 (xuntil6(s53)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23846, 23844])).
% 9.16/6.61 tff(23848,plain,
% 9.16/6.61 (until5(s54)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4638, 23847])).
% 9.16/6.61 tff(23849,plain,
% 9.16/6.61 (~node4(s54)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4606, 22, 23766])).
% 9.16/6.61 tff(23850,plain,
% 9.16/6.61 (xuntil6(s54) | (~until5(s54))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4630, 36, 23849])).
% 9.16/6.61 tff(23851,plain,
% 9.16/6.61 (xuntil6(s54)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23850, 23848])).
% 9.16/6.61 tff(23852,plain,
% 9.16/6.61 (until5(s55)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4623, 23851])).
% 9.16/6.61 tff(23853,plain,
% 9.16/6.61 (~node4(s55)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4610, 22, 23765])).
% 9.16/6.61 tff(23854,plain,
% 9.16/6.61 (xuntil6(s55) | (~until5(s55))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4617, 36, 23853])).
% 9.16/6.61 tff(23855,plain,
% 9.16/6.61 (xuntil6(s55)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23854, 23852])).
% 9.16/6.61 tff(23856,plain,
% 9.16/6.61 (until5(s56)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4856, 23855])).
% 9.16/6.61 tff(23857,plain,
% 9.16/6.61 (~node4(s56)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4874, 22, 23764])).
% 9.16/6.61 tff(23858,plain,
% 9.16/6.61 (xuntil6(s56) | (~until5(s56))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4898, 36, 23857])).
% 9.16/6.61 tff(23859,plain,
% 9.16/6.61 (xuntil6(s56)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23858, 23856])).
% 9.16/6.61 tff(23860,plain,
% 9.16/6.61 (until5(s57)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4891, 23859])).
% 9.16/6.61 tff(23861,plain,
% 9.16/6.61 (~node4(s57)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4878, 22, 23763])).
% 9.16/6.61 tff(23862,plain,
% 9.16/6.61 (xuntil6(s57) | (~until5(s57))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[4885, 36, 23861])).
% 9.16/6.61 tff(23863,plain,
% 9.16/6.61 (xuntil6(s57)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23862, 23860])).
% 9.16/6.61 tff(23864,plain,
% 9.16/6.61 (until5(s58)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[5070, 23863])).
% 9.16/6.61 tff(23865,plain,
% 9.16/6.61 (~node4(s58)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9562, 22, 23762])).
% 9.16/6.61 tff(23866,plain,
% 9.16/6.61 (xuntil6(s58) | (~until5(s58))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9569, 36, 23865])).
% 9.16/6.61 tff(23867,plain,
% 9.16/6.61 (xuntil6(s58)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23866, 23864])).
% 9.16/6.61 tff(23868,plain,
% 9.16/6.61 (until5(s59)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9575, 23867])).
% 9.16/6.61 tff(23869,plain,
% 9.16/6.61 (~node4(s59)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9546, 22, 23761])).
% 9.16/6.61 tff(23870,plain,
% 9.16/6.61 (xuntil6(s59) | (~until5(s59))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9582, 36, 23869])).
% 9.16/6.61 tff(23871,plain,
% 9.16/6.61 (xuntil6(s59)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23870, 23868])).
% 9.16/6.61 tff(23872,plain,
% 9.16/6.61 (until5(s60)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9587, 23871])).
% 9.16/6.61 tff(23873,plain,
% 9.16/6.61 (~node4(s60)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9591, 22, 23760])).
% 9.16/6.61 tff(23874,plain,
% 9.16/6.61 (xuntil6(s60) | (~until5(s60))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9598, 36, 23873])).
% 9.16/6.61 tff(23875,plain,
% 9.16/6.61 (xuntil6(s60)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23874, 23872])).
% 9.16/6.61 tff(23876,plain,
% 9.16/6.61 (until5(s61)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9604, 23875])).
% 9.16/6.61 tff(23877,plain,
% 9.16/6.61 (~node4(s61)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9608, 22, 23759])).
% 9.16/6.61 tff(23878,plain,
% 9.16/6.61 (xuntil6(s61) | (~until5(s61))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9615, 36, 23877])).
% 9.16/6.61 tff(23879,plain,
% 9.16/6.61 (xuntil6(s61)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23878, 23876])).
% 9.16/6.61 tff(23880,plain,
% 9.16/6.61 (until5(s62)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9621, 23879])).
% 9.16/6.61 tff(23881,plain,
% 9.16/6.61 (~node4(s62)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9625, 22, 23758])).
% 9.16/6.61 tff(23882,plain,
% 9.16/6.61 (xuntil6(s62) | (~until5(s62))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9632, 36, 23881])).
% 9.16/6.61 tff(23883,plain,
% 9.16/6.61 (xuntil6(s62)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23882, 23880])).
% 9.16/6.61 tff(23884,plain,
% 9.16/6.61 (until5(s63)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9638, 23883])).
% 9.16/6.61 tff(23885,plain,
% 9.16/6.61 (~node4(s63)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9642, 22, 23757])).
% 9.16/6.61 tff(23886,plain,
% 9.16/6.61 (xuntil6(s63) | (~until5(s63))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9649, 36, 23885])).
% 9.16/6.61 tff(23887,plain,
% 9.16/6.61 (xuntil6(s63)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23886, 23884])).
% 9.16/6.61 tff(23888,plain,
% 9.16/6.61 (until5(s64)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9655, 23887])).
% 9.16/6.61 tff(23889,plain,
% 9.16/6.61 (~node4(s64)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9659, 22, 23756])).
% 9.16/6.61 tff(23890,plain,
% 9.16/6.61 (xuntil6(s64) | (~until5(s64))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9666, 36, 23889])).
% 9.16/6.61 tff(23891,plain,
% 9.16/6.61 (xuntil6(s64)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23890, 23888])).
% 9.16/6.61 tff(23892,plain,
% 9.16/6.61 (until5(s65)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9672, 23891])).
% 9.16/6.61 tff(23893,plain,
% 9.16/6.61 (~node4(s65)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9676, 22, 23755])).
% 9.16/6.61 tff(23894,plain,
% 9.16/6.61 (xuntil6(s65) | (~until5(s65))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9683, 36, 23893])).
% 9.16/6.61 tff(23895,plain,
% 9.16/6.61 (xuntil6(s65)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23894, 23892])).
% 9.16/6.61 tff(23896,plain,
% 9.16/6.61 (until5(s66)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9689, 23895])).
% 9.16/6.61 tff(23897,plain,
% 9.16/6.61 (~node4(s66)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9693, 22, 23754])).
% 9.16/6.61 tff(23898,plain,
% 9.16/6.61 (xuntil6(s66) | (~until5(s66))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9700, 36, 23897])).
% 9.16/6.61 tff(23899,plain,
% 9.16/6.61 (xuntil6(s66)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23898, 23896])).
% 9.16/6.61 tff(23900,plain,
% 9.16/6.61 (until5(s67)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9706, 23899])).
% 9.16/6.61 tff(23901,plain,
% 9.16/6.61 (~node4(s67)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9710, 22, 23753])).
% 9.16/6.61 tff(23902,plain,
% 9.16/6.61 (xuntil6(s67) | (~until5(s67))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9717, 36, 23901])).
% 9.16/6.61 tff(23903,plain,
% 9.16/6.61 (xuntil6(s67)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23902, 23900])).
% 9.16/6.61 tff(23904,plain,
% 9.16/6.61 (until5(s68)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9723, 23903])).
% 9.16/6.61 tff(23905,plain,
% 9.16/6.61 (~node4(s68)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9727, 22, 23752])).
% 9.16/6.61 tff(23906,plain,
% 9.16/6.61 (xuntil6(s68) | (~until5(s68))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9734, 36, 23905])).
% 9.16/6.61 tff(23907,plain,
% 9.16/6.61 (xuntil6(s68)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23906, 23904])).
% 9.16/6.61 tff(23908,plain,
% 9.16/6.61 (until5(s69)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9740, 23907])).
% 9.16/6.61 tff(23909,plain,
% 9.16/6.61 (~node4(s69)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9744, 22, 23751])).
% 9.16/6.61 tff(23910,plain,
% 9.16/6.61 (xuntil6(s69) | (~until5(s69))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9751, 36, 23909])).
% 9.16/6.61 tff(23911,plain,
% 9.16/6.61 (xuntil6(s69)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23910, 23908])).
% 9.16/6.61 tff(23912,plain,
% 9.16/6.61 (until5(s70)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9757, 23911])).
% 9.16/6.61 tff(23913,plain,
% 9.16/6.61 (~node4(s70)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9761, 22, 23750])).
% 9.16/6.61 tff(23914,plain,
% 9.16/6.61 (xuntil6(s70) | (~until5(s70))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9768, 36, 23913])).
% 9.16/6.61 tff(23915,plain,
% 9.16/6.61 (xuntil6(s70)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23914, 23912])).
% 9.16/6.61 tff(23916,plain,
% 9.16/6.61 (until5(s71)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9774, 23915])).
% 9.16/6.61 tff(23917,plain,
% 9.16/6.61 (~node4(s71)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9778, 22, 23749])).
% 9.16/6.61 tff(23918,plain,
% 9.16/6.61 (xuntil6(s71) | (~until5(s71))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9785, 36, 23917])).
% 9.16/6.61 tff(23919,plain,
% 9.16/6.61 (xuntil6(s71)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23918, 23916])).
% 9.16/6.61 tff(23920,plain,
% 9.16/6.61 (until5(s72)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9791, 23919])).
% 9.16/6.61 tff(23921,plain,
% 9.16/6.61 (~node4(s72)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9795, 22, 23748])).
% 9.16/6.61 tff(23922,plain,
% 9.16/6.61 (xuntil6(s72) | (~until5(s72))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9802, 36, 23921])).
% 9.16/6.61 tff(23923,plain,
% 9.16/6.61 (xuntil6(s72)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23922, 23920])).
% 9.16/6.61 tff(23924,plain,
% 9.16/6.61 (until5(s73)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9808, 23923])).
% 9.16/6.61 tff(23925,plain,
% 9.16/6.61 (~node4(s73)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9812, 22, 23747])).
% 9.16/6.61 tff(23926,plain,
% 9.16/6.61 (xuntil6(s73) | (~until5(s73))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9819, 36, 23925])).
% 9.16/6.61 tff(23927,plain,
% 9.16/6.61 (xuntil6(s73)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23926, 23924])).
% 9.16/6.61 tff(23928,plain,
% 9.16/6.61 (until5(s74)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9825, 23927])).
% 9.16/6.61 tff(23929,plain,
% 9.16/6.61 (~node4(s74)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9829, 22, 23746])).
% 9.16/6.61 tff(23930,plain,
% 9.16/6.61 (xuntil6(s74) | (~until5(s74))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9836, 36, 23929])).
% 9.16/6.61 tff(23931,plain,
% 9.16/6.61 (xuntil6(s74)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23930, 23928])).
% 9.16/6.61 tff(23932,plain,
% 9.16/6.61 (until5(s75)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9842, 23931])).
% 9.16/6.61 tff(23933,plain,
% 9.16/6.61 (~node4(s75)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9846, 22, 23745])).
% 9.16/6.61 tff(23934,plain,
% 9.16/6.61 (xuntil6(s75) | (~until5(s75))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9853, 36, 23933])).
% 9.16/6.61 tff(23935,plain,
% 9.16/6.61 (xuntil6(s75)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23934, 23932])).
% 9.16/6.61 tff(23936,plain,
% 9.16/6.61 (until5(s76)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9859, 23935])).
% 9.16/6.61 tff(23937,plain,
% 9.16/6.61 (~node4(s76)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9863, 22, 23744])).
% 9.16/6.61 tff(23938,plain,
% 9.16/6.61 (xuntil6(s76) | (~until5(s76))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9870, 36, 23937])).
% 9.16/6.61 tff(23939,plain,
% 9.16/6.61 (xuntil6(s76)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23938, 23936])).
% 9.16/6.61 tff(23940,plain,
% 9.16/6.61 (until5(s77)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9876, 23939])).
% 9.16/6.61 tff(23941,plain,
% 9.16/6.61 (~node4(s77)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9880, 22, 23743])).
% 9.16/6.61 tff(23942,plain,
% 9.16/6.61 (xuntil6(s77) | (~until5(s77))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9887, 36, 23941])).
% 9.16/6.61 tff(23943,plain,
% 9.16/6.61 (xuntil6(s77)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23942, 23940])).
% 9.16/6.61 tff(23944,plain,
% 9.16/6.61 (until5(s78)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9893, 23943])).
% 9.16/6.61 tff(23945,plain,
% 9.16/6.61 (~node4(s78)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9897, 22, 23742])).
% 9.16/6.61 tff(23946,plain,
% 9.16/6.61 (xuntil6(s78) | (~until5(s78))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9904, 36, 23945])).
% 9.16/6.61 tff(23947,plain,
% 9.16/6.61 (xuntil6(s78)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23946, 23944])).
% 9.16/6.61 tff(23948,plain,
% 9.16/6.61 (until5(s79)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9910, 23947])).
% 9.16/6.61 tff(23949,plain,
% 9.16/6.61 (~node4(s79)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9914, 22, 23741])).
% 9.16/6.61 tff(23950,plain,
% 9.16/6.61 (xuntil6(s79) | (~until5(s79))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9921, 36, 23949])).
% 9.16/6.61 tff(23951,plain,
% 9.16/6.61 (xuntil6(s79)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23950, 23948])).
% 9.16/6.61 tff(23952,plain,
% 9.16/6.61 (until5(s80)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9927, 23951])).
% 9.16/6.61 tff(23953,plain,
% 9.16/6.61 (~node4(s80)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9931, 22, 23740])).
% 9.16/6.61 tff(23954,plain,
% 9.16/6.61 (xuntil6(s80) | (~until5(s80))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9938, 36, 23953])).
% 9.16/6.61 tff(23955,plain,
% 9.16/6.61 (xuntil6(s80)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23954, 23952])).
% 9.16/6.61 tff(23956,plain,
% 9.16/6.61 (until5(s81)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9944, 23955])).
% 9.16/6.61 tff(23957,plain,
% 9.16/6.61 (~node4(s81)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9948, 22, 23739])).
% 9.16/6.61 tff(23958,plain,
% 9.16/6.61 (xuntil6(s81) | (~until5(s81))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9955, 36, 23957])).
% 9.16/6.61 tff(23959,plain,
% 9.16/6.61 (xuntil6(s81)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23958, 23956])).
% 9.16/6.61 tff(23960,plain,
% 9.16/6.61 (until5(s82)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9961, 23959])).
% 9.16/6.61 tff(23961,plain,
% 9.16/6.61 (~node4(s82)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9965, 22, 23738])).
% 9.16/6.61 tff(23962,plain,
% 9.16/6.61 (xuntil6(s82) | (~until5(s82))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9972, 36, 23961])).
% 9.16/6.61 tff(23963,plain,
% 9.16/6.61 (xuntil6(s82)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23962, 23960])).
% 9.16/6.61 tff(23964,plain,
% 9.16/6.61 (until5(s83)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9978, 23963])).
% 9.16/6.61 tff(23965,plain,
% 9.16/6.61 (~node4(s83)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9982, 22, 23737])).
% 9.16/6.61 tff(23966,plain,
% 9.16/6.61 (xuntil6(s83) | (~until5(s83))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9989, 36, 23965])).
% 9.16/6.61 tff(23967,plain,
% 9.16/6.61 (xuntil6(s83)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23966, 23964])).
% 9.16/6.61 tff(23968,plain,
% 9.16/6.61 (until5(s84)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9995, 23967])).
% 9.16/6.61 tff(23969,plain,
% 9.16/6.61 (~node4(s84)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[9999, 22, 23736])).
% 9.16/6.61 tff(23970,plain,
% 9.16/6.61 (xuntil6(s84) | (~until5(s84))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10006, 36, 23969])).
% 9.16/6.61 tff(23971,plain,
% 9.16/6.61 (xuntil6(s84)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23970, 23968])).
% 9.16/6.61 tff(23972,plain,
% 9.16/6.61 (until5(s85)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10012, 23971])).
% 9.16/6.61 tff(23973,plain,
% 9.16/6.61 (~node4(s85)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10016, 22, 23735])).
% 9.16/6.61 tff(23974,plain,
% 9.16/6.61 (xuntil6(s85) | (~until5(s85))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10023, 36, 23973])).
% 9.16/6.61 tff(23975,plain,
% 9.16/6.61 (xuntil6(s85)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23974, 23972])).
% 9.16/6.61 tff(23976,plain,
% 9.16/6.61 (until5(s86)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10029, 23975])).
% 9.16/6.61 tff(23977,plain,
% 9.16/6.61 (~node4(s86)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10033, 22, 23734])).
% 9.16/6.61 tff(23978,plain,
% 9.16/6.61 (xuntil6(s86) | (~until5(s86))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10040, 36, 23977])).
% 9.16/6.61 tff(23979,plain,
% 9.16/6.61 (xuntil6(s86)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23978, 23976])).
% 9.16/6.61 tff(23980,plain,
% 9.16/6.61 (until5(s87)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10046, 23979])).
% 9.16/6.61 tff(23981,plain,
% 9.16/6.61 (~node4(s87)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10050, 22, 23733])).
% 9.16/6.61 tff(23982,plain,
% 9.16/6.61 (xuntil6(s87) | (~until5(s87))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10057, 36, 23981])).
% 9.16/6.61 tff(23983,plain,
% 9.16/6.61 (xuntil6(s87)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23982, 23980])).
% 9.16/6.61 tff(23984,plain,
% 9.16/6.61 (until5(s88)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10063, 23983])).
% 9.16/6.61 tff(23985,plain,
% 9.16/6.61 (~node4(s88)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10067, 22, 23732])).
% 9.16/6.61 tff(23986,plain,
% 9.16/6.61 (xuntil6(s88) | (~until5(s88))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10074, 36, 23985])).
% 9.16/6.61 tff(23987,plain,
% 9.16/6.61 (xuntil6(s88)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23986, 23984])).
% 9.16/6.61 tff(23988,plain,
% 9.16/6.61 (until5(s89)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10080, 23987])).
% 9.16/6.61 tff(23989,plain,
% 9.16/6.61 (~node4(s89)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10084, 22, 23731])).
% 9.16/6.61 tff(23990,plain,
% 9.16/6.61 (xuntil6(s89) | (~until5(s89))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10091, 36, 23989])).
% 9.16/6.61 tff(23991,plain,
% 9.16/6.61 (xuntil6(s89)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23990, 23988])).
% 9.16/6.61 tff(23992,plain,
% 9.16/6.61 (until5(s90)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10097, 23991])).
% 9.16/6.61 tff(23993,plain,
% 9.16/6.61 (~node4(s90)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10101, 22, 23730])).
% 9.16/6.61 tff(23994,plain,
% 9.16/6.61 (xuntil6(s90) | (~until5(s90))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10108, 36, 23993])).
% 9.16/6.61 tff(23995,plain,
% 9.16/6.61 (xuntil6(s90)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23994, 23992])).
% 9.16/6.61 tff(23996,plain,
% 9.16/6.61 (until5(s91)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10114, 23995])).
% 9.16/6.61 tff(23997,plain,
% 9.16/6.61 (~node4(s91)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10118, 22, 23729])).
% 9.16/6.61 tff(23998,plain,
% 9.16/6.61 (xuntil6(s91) | (~until5(s91))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10125, 36, 23997])).
% 9.16/6.61 tff(23999,plain,
% 9.16/6.61 (xuntil6(s91)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[23998, 23996])).
% 9.16/6.61 tff(24000,plain,
% 9.16/6.61 (until5(s92)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10131, 23999])).
% 9.16/6.61 tff(24001,plain,
% 9.16/6.61 (~node4(s92)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10135, 22, 23728])).
% 9.16/6.61 tff(24002,plain,
% 9.16/6.61 (xuntil6(s92) | (~until5(s92))),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[10142, 36, 24001])).
% 9.16/6.61 tff(24003,plain,
% 9.16/6.61 ($false),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[24002, 24000, 23727])).
% 9.16/6.61 tff(24004,plain,(always3(s146) | xuntil6(s146)), inference(lemma,lemma(discharge,[]))).
% 9.16/6.61 tff(24005,plain,
% 9.16/6.61 (always3(s146)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[24004, 23458])).
% 9.16/6.61 tff(24006,plain,
% 9.16/6.61 (always3(s147)),
% 9.16/6.61 inference(unit_resolution,[status(thm)],[8333, 24005])).
% 9.16/6.61 tff(24007,plain,
% 9.16/6.61 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s147)) | (~m_main_v_state(s147, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s147)) | (~m_main_v_state(s147, c_busy)))),
% 9.16/6.61 inference(rewrite,[status(thm)],[])).
% 9.16/6.61 tff(24008,plain,
% 9.16/6.61 (((~m_main_v_state(s147, c_busy)) | (~always3(s147))) <=> ((~always3(s147)) | (~m_main_v_state(s147, c_busy)))),
% 9.16/6.61 inference(rewrite,[status(thm)],[])).
% 9.16/6.61 tff(24009,plain,
% 9.16/6.61 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s147, c_busy)) | (~always3(s147)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s147)) | (~m_main_v_state(s147, c_busy))))),
% 9.16/6.61 inference(monotonicity,[status(thm)],[24008])).
% 9.16/6.61 tff(24010,plain,
% 9.16/6.61 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s147, c_busy)) | (~always3(s147)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s147)) | (~m_main_v_state(s147, c_busy)))),
% 9.16/6.61 inference(transitivity,[status(thm)],[24009, 24007])).
% 9.16/6.61 tff(24011,plain,
% 9.16/6.61 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s147, c_busy)) | (~always3(s147)))),
% 9.16/6.62 inference(quant_inst,[status(thm)],[])).
% 9.16/6.62 tff(24012,plain,
% 9.16/6.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s147)) | (~m_main_v_state(s147, c_busy))),
% 9.16/6.62 inference(modus_ponens,[status(thm)],[24011, 24010])).
% 9.16/6.62 tff(24013,plain,
% 9.16/6.62 (~m_main_v_state(s147, c_busy)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24012, 170, 24006])).
% 9.16/6.62 tff(24014,plain,
% 9.16/6.62 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s146)) | (~m_main_v_state(s146, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s146)) | (~m_main_v_state(s146, c_busy)))),
% 9.16/6.62 inference(rewrite,[status(thm)],[])).
% 9.16/6.62 tff(24015,plain,
% 9.16/6.62 (((~m_main_v_state(s146, c_busy)) | (~always3(s146))) <=> ((~always3(s146)) | (~m_main_v_state(s146, c_busy)))),
% 9.16/6.62 inference(rewrite,[status(thm)],[])).
% 9.16/6.62 tff(24016,plain,
% 9.16/6.62 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s146, c_busy)) | (~always3(s146)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s146)) | (~m_main_v_state(s146, c_busy))))),
% 9.16/6.62 inference(monotonicity,[status(thm)],[24015])).
% 9.16/6.62 tff(24017,plain,
% 9.16/6.62 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s146, c_busy)) | (~always3(s146)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s146)) | (~m_main_v_state(s146, c_busy)))),
% 9.16/6.62 inference(transitivity,[status(thm)],[24016, 24014])).
% 9.16/6.62 tff(24018,plain,
% 9.16/6.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s146, c_busy)) | (~always3(s146)))),
% 9.16/6.62 inference(quant_inst,[status(thm)],[])).
% 9.16/6.62 tff(24019,plain,
% 9.16/6.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s146)) | (~m_main_v_state(s146, c_busy))),
% 9.16/6.62 inference(modus_ponens,[status(thm)],[24018, 24017])).
% 9.16/6.62 tff(24020,plain,
% 9.16/6.62 (~m_main_v_state(s146, c_busy)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24019, 170, 24005])).
% 9.16/6.62 tff(24021,plain,
% 9.16/6.62 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s146, c_busy) | m_main_v_state(s146, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s146, c_busy) | m_main_v_state(s146, c_ready))),
% 9.16/6.62 inference(rewrite,[status(thm)],[])).
% 9.16/6.62 tff(24022,plain,
% 9.16/6.62 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s146, c_busy) | m_main_v_state(s146, c_ready))),
% 9.16/6.62 inference(quant_inst,[status(thm)],[])).
% 9.16/6.62 tff(24023,plain,
% 9.16/6.62 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s146, c_busy) | m_main_v_state(s146, c_ready)),
% 9.16/6.62 inference(modus_ponens,[status(thm)],[24022, 24021])).
% 9.16/6.62 tff(24024,plain,
% 9.16/6.62 (m_main_v_state(s146, c_ready)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24023, 213, 24020])).
% 9.16/6.62 tff(24025,assumption,(~m_main_v_state(s146, c_busy)), introduced(assumption)).
% 9.16/6.62 tff(24026,assumption,(node4(s145)), introduced(assumption)).
% 9.16/6.62 tff(24027,plain,
% 9.16/6.62 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s145) | (~node4(s145)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s145) | (~node4(s145)))),
% 9.16/6.62 inference(rewrite,[status(thm)],[])).
% 9.16/6.62 tff(24028,plain,
% 9.16/6.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s145) | (~node4(s145)))),
% 9.16/6.62 inference(quant_inst,[status(thm)],[])).
% 9.16/6.62 tff(24029,plain,
% 9.16/6.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s145) | (~node4(s145))),
% 9.16/6.62 inference(modus_ponens,[status(thm)],[24028, 24027])).
% 9.16/6.62 tff(24030,plain,
% 9.16/6.62 (m_main_v_request(s145)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24029, 154, 24026])).
% 9.16/6.62 tff(24031,plain,
% 9.16/6.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s145, s146)) | node2(s145, s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s145, s146)) | node2(s145, s146))),
% 9.16/6.62 inference(rewrite,[status(thm)],[])).
% 9.16/6.62 tff(24032,plain,
% 9.16/6.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s145, s146)) | node2(s145, s146))),
% 9.16/6.62 inference(quant_inst,[status(thm)],[])).
% 9.16/6.62 tff(24033,plain,
% 9.16/6.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s145, s146)) | node2(s145, s146)),
% 9.16/6.62 inference(modus_ponens,[status(thm)],[24032, 24031])).
% 9.16/6.62 tff(24034,plain,
% 9.16/6.62 (node2(s145, s146)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24033, 7, 8358])).
% 9.16/6.62 tff(24035,plain,
% 9.16/6.62 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s145, c_ready)) | (~node2(s145, s146)) | m_main_v_state(s146, c_busy) | (~m_main_v_request(s145)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s145, c_ready)) | (~node2(s145, s146)) | m_main_v_state(s146, c_busy) | (~m_main_v_request(s145)))),
% 9.16/6.62 inference(rewrite,[status(thm)],[])).
% 9.16/6.62 tff(24036,plain,
% 9.16/6.62 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s145, c_ready)) | (~node2(s145, s146)) | m_main_v_state(s146, c_busy) | (~m_main_v_request(s145)))),
% 9.16/6.62 inference(quant_inst,[status(thm)],[])).
% 9.16/6.62 tff(24037,plain,
% 9.16/6.62 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s145, c_ready)) | (~node2(s145, s146)) | m_main_v_state(s146, c_busy) | (~m_main_v_request(s145))),
% 9.16/6.62 inference(modus_ponens,[status(thm)],[24036, 24035])).
% 9.16/6.62 tff(24038,plain,
% 9.16/6.62 ((~m_main_v_state(s145, c_ready)) | m_main_v_state(s146, c_busy) | (~m_main_v_request(s145))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24037, 191, 24034])).
% 9.16/6.62 tff(24039,plain,
% 9.16/6.62 (~m_main_v_state(s145, c_ready)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24038, 24030, 24025])).
% 9.16/6.62 tff(24040,plain,
% 9.16/6.62 (always3(s145)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8366, 22, 24026])).
% 9.16/6.62 tff(24041,plain,
% 9.16/6.62 (~m_main_v_state(s145, c_busy)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[22900, 170, 24040])).
% 9.16/6.62 tff(24042,plain,
% 9.16/6.62 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s145, c_busy) | m_main_v_state(s145, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s145, c_busy) | m_main_v_state(s145, c_ready))),
% 9.16/6.62 inference(rewrite,[status(thm)],[])).
% 9.16/6.62 tff(24043,plain,
% 9.16/6.62 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s145, c_busy) | m_main_v_state(s145, c_ready))),
% 9.16/6.62 inference(quant_inst,[status(thm)],[])).
% 9.16/6.62 tff(24044,plain,
% 9.16/6.62 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s145, c_busy) | m_main_v_state(s145, c_ready)),
% 9.16/6.62 inference(modus_ponens,[status(thm)],[24043, 24042])).
% 9.16/6.62 tff(24045,plain,
% 9.16/6.62 ($false),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24044, 213, 24041, 24039])).
% 9.16/6.62 tff(24046,plain,((~node4(s145)) | m_main_v_state(s146, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.16/6.62 tff(24047,plain,
% 9.16/6.62 (~node4(s145)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24046, 24020])).
% 9.16/6.62 tff(24048,assumption,(until5(s145)), introduced(assumption)).
% 9.16/6.62 tff(24049,plain,
% 9.16/6.62 (xuntil6(s145) | node4(s145)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8373, 36, 24048])).
% 9.16/6.62 tff(24050,plain,
% 9.16/6.62 (xuntil6(s145)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24049, 24047])).
% 9.16/6.62 tff(24051,plain,
% 9.16/6.62 (until5(s146)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8353, 24050])).
% 9.16/6.62 tff(24052,plain,
% 9.16/6.62 (node4(s146)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[23463, 24051])).
% 9.16/6.62 tff(24053,plain,
% 9.16/6.62 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s146) | (~node4(s146)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s146) | (~node4(s146)))),
% 9.16/6.62 inference(rewrite,[status(thm)],[])).
% 9.16/6.62 tff(24054,plain,
% 9.16/6.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s146) | (~node4(s146)))),
% 9.16/6.62 inference(quant_inst,[status(thm)],[])).
% 9.16/6.62 tff(24055,plain,
% 9.16/6.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s146) | (~node4(s146))),
% 9.16/6.62 inference(modus_ponens,[status(thm)],[24054, 24053])).
% 9.16/6.62 tff(24056,plain,
% 9.16/6.62 (m_main_v_request(s146)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24055, 154, 24052])).
% 9.16/6.62 tff(24057,plain,
% 9.16/6.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s146, s147)) | node2(s146, s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s146, s147)) | node2(s146, s147))),
% 9.16/6.62 inference(rewrite,[status(thm)],[])).
% 9.16/6.62 tff(24058,plain,
% 9.16/6.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s146, s147)) | node2(s146, s147))),
% 9.16/6.62 inference(quant_inst,[status(thm)],[])).
% 9.16/6.62 tff(24059,plain,
% 9.16/6.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s146, s147)) | node2(s146, s147)),
% 9.16/6.62 inference(modus_ponens,[status(thm)],[24058, 24057])).
% 9.16/6.62 tff(24060,plain,
% 9.16/6.62 (node2(s146, s147)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24059, 7, 8329])).
% 9.16/6.62 tff(24061,plain,
% 9.16/6.62 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s146, c_ready)) | (~node2(s146, s147)) | m_main_v_state(s147, c_busy) | (~m_main_v_request(s146)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s146, c_ready)) | (~node2(s146, s147)) | m_main_v_state(s147, c_busy) | (~m_main_v_request(s146)))),
% 9.16/6.62 inference(rewrite,[status(thm)],[])).
% 9.16/6.62 tff(24062,plain,
% 9.16/6.62 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s146, c_ready)) | (~node2(s146, s147)) | m_main_v_state(s147, c_busy) | (~m_main_v_request(s146)))),
% 9.16/6.62 inference(quant_inst,[status(thm)],[])).
% 9.16/6.62 tff(24063,plain,
% 9.16/6.62 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s146, c_ready)) | (~node2(s146, s147)) | m_main_v_state(s147, c_busy) | (~m_main_v_request(s146))),
% 9.16/6.62 inference(modus_ponens,[status(thm)],[24062, 24061])).
% 9.16/6.62 tff(24064,plain,
% 9.16/6.62 ((~m_main_v_state(s146, c_ready)) | m_main_v_state(s147, c_busy) | (~m_main_v_request(s146))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24063, 191, 24060])).
% 9.16/6.62 tff(24065,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[24064, 24056, 24024, 24013])).
% 9.16/6.62 tff(24066,plain,(xuntil6(s146) | (~until5(s145))), inference(lemma,lemma(discharge,[]))).
% 9.16/6.62 tff(24067,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[24066, 23457])).
% 9.16/6.62 tff(24068,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[8324, 24067])).
% 9.16/6.62 tff(24069,assumption,(~xuntil6(s148)), introduced(assumption)).
% 9.16/6.62 tff(24070,assumption,(~always3(s148)), introduced(assumption)).
% 9.16/6.62 tff(24071,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[8304, 24070])).
% 9.16/6.62 tff(24072,plain,
% 9.16/6.62 (~node4(s147)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8308, 22, 24071])).
% 9.16/6.62 tff(24073,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[8279, 22, 24070])).
% 9.16/6.62 tff(24074,plain,
% 9.16/6.62 (node4(s148) | (~until5(s148))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8286, 36, 24069])).
% 9.16/6.62 tff(24075,plain,
% 9.16/6.62 (~until5(s148)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24074, 24073])).
% 9.16/6.62 tff(24076,plain,
% 9.16/6.62 (~xuntil6(s147)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8295, 24075])).
% 9.16/6.62 tff(24077,plain,
% 9.16/6.62 (~until5(s147)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8315, 36, 24076, 24072])).
% 9.16/6.62 tff(24078,plain,
% 9.16/6.62 (~xuntil6(s146)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8324, 24077])).
% 9.16/6.62 tff(24079,plain,
% 9.16/6.62 (~always3(s146)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8333, 24071])).
% 9.16/6.62 tff(24080,plain,
% 9.16/6.62 (~node4(s146)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8337, 22, 24079])).
% 9.16/6.62 tff(24081,plain,
% 9.16/6.62 (xuntil6(s146) | (~until5(s146))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8344, 36, 24080])).
% 9.16/6.62 tff(24082,plain,
% 9.16/6.62 (~until5(s146)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24081, 24078])).
% 9.16/6.62 tff(24083,plain,
% 9.16/6.62 (~xuntil6(s145)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8353, 24082])).
% 9.16/6.62 tff(24084,plain,
% 9.16/6.62 (~always3(s145)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8362, 24079])).
% 9.16/6.62 tff(24085,plain,
% 9.16/6.62 (~node4(s145)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8366, 22, 24084])).
% 9.16/6.62 tff(24086,plain,
% 9.16/6.62 (xuntil6(s145) | (~until5(s145))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8373, 36, 24085])).
% 9.16/6.62 tff(24087,plain,
% 9.16/6.62 (~until5(s145)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24086, 24083])).
% 9.16/6.62 tff(24088,plain,
% 9.16/6.62 (~xuntil6(s144)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8382, 24087])).
% 9.16/6.62 tff(24089,plain,
% 9.16/6.62 (~always3(s144)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8391, 24084])).
% 9.16/6.62 tff(24090,plain,
% 9.16/6.62 (~node4(s144)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8395, 22, 24089])).
% 9.16/6.62 tff(24091,plain,
% 9.16/6.62 (xuntil6(s144) | (~until5(s144))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8402, 36, 24090])).
% 9.16/6.62 tff(24092,plain,
% 9.16/6.62 (~until5(s144)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24091, 24088])).
% 9.16/6.62 tff(24093,plain,
% 9.16/6.62 (~xuntil6(s143)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8411, 24092])).
% 9.16/6.62 tff(24094,plain,
% 9.16/6.62 (~always3(s143)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8420, 24089])).
% 9.16/6.62 tff(24095,plain,
% 9.16/6.62 (~node4(s143)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8424, 22, 24094])).
% 9.16/6.62 tff(24096,plain,
% 9.16/6.62 (xuntil6(s143) | (~until5(s143))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8431, 36, 24095])).
% 9.16/6.62 tff(24097,plain,
% 9.16/6.62 (~until5(s143)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24096, 24093])).
% 9.16/6.62 tff(24098,plain,
% 9.16/6.62 (~xuntil6(s142)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8440, 24097])).
% 9.16/6.62 tff(24099,plain,
% 9.16/6.62 (~always3(s142)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8449, 24094])).
% 9.16/6.62 tff(24100,plain,
% 9.16/6.62 (~node4(s142)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8453, 22, 24099])).
% 9.16/6.62 tff(24101,plain,
% 9.16/6.62 (xuntil6(s142) | (~until5(s142))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8460, 36, 24100])).
% 9.16/6.62 tff(24102,plain,
% 9.16/6.62 (~until5(s142)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24101, 24098])).
% 9.16/6.62 tff(24103,plain,
% 9.16/6.62 (~xuntil6(s141)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8469, 24102])).
% 9.16/6.62 tff(24104,plain,
% 9.16/6.62 (~always3(s141)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8478, 24099])).
% 9.16/6.62 tff(24105,plain,
% 9.16/6.62 (~node4(s141)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8482, 22, 24104])).
% 9.16/6.62 tff(24106,plain,
% 9.16/6.62 (xuntil6(s141) | (~until5(s141))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8489, 36, 24105])).
% 9.16/6.62 tff(24107,plain,
% 9.16/6.62 (~until5(s141)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24106, 24103])).
% 9.16/6.62 tff(24108,plain,
% 9.16/6.62 (~xuntil6(s140)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8498, 24107])).
% 9.16/6.62 tff(24109,plain,
% 9.16/6.62 (~always3(s140)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8507, 24104])).
% 9.16/6.62 tff(24110,plain,
% 9.16/6.62 (~node4(s140)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8511, 22, 24109])).
% 9.16/6.62 tff(24111,plain,
% 9.16/6.62 (xuntil6(s140) | (~until5(s140))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8518, 36, 24110])).
% 9.16/6.62 tff(24112,plain,
% 9.16/6.62 (~until5(s140)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24111, 24108])).
% 9.16/6.62 tff(24113,plain,
% 9.16/6.62 (~xuntil6(s139)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8527, 24112])).
% 9.16/6.62 tff(24114,plain,
% 9.16/6.62 (~always3(s139)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8536, 24109])).
% 9.16/6.62 tff(24115,plain,
% 9.16/6.62 (~node4(s139)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8540, 22, 24114])).
% 9.16/6.62 tff(24116,plain,
% 9.16/6.62 (xuntil6(s139) | (~until5(s139))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8547, 36, 24115])).
% 9.16/6.62 tff(24117,plain,
% 9.16/6.62 (~until5(s139)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24116, 24113])).
% 9.16/6.62 tff(24118,plain,
% 9.16/6.62 (~xuntil6(s138)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8556, 24117])).
% 9.16/6.62 tff(24119,plain,
% 9.16/6.62 (~always3(s138)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8565, 24114])).
% 9.16/6.62 tff(24120,plain,
% 9.16/6.62 (~node4(s138)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8569, 22, 24119])).
% 9.16/6.62 tff(24121,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[8576, 36, 24120])).
% 9.16/6.62 tff(24122,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[24121, 24118])).
% 9.16/6.62 tff(24123,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[8585, 24122])).
% 9.16/6.62 tff(24124,plain,
% 9.16/6.62 (~always3(s137)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[8594, 24119])).
% 9.16/6.62 tff(24125,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[8598, 22, 24124])).
% 9.16/6.62 tff(24126,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[8605, 36, 24125])).
% 9.16/6.62 tff(24127,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[24126, 24123])).
% 9.16/6.62 tff(24128,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10896, 24127])).
% 9.16/6.62 tff(24129,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[8618, 24124])).
% 9.16/6.62 tff(24130,plain,
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% 9.16/6.62 tff(24131,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10890, 36, 24130])).
% 9.16/6.62 tff(24132,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[24131, 24128])).
% 9.16/6.62 tff(24133,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10879, 24132])).
% 9.16/6.62 tff(24134,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[8630, 24129])).
% 9.16/6.62 tff(24135,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10866, 22, 24134])).
% 9.16/6.62 tff(24136,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10873, 36, 24135])).
% 9.16/6.62 tff(24137,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[24136, 24133])).
% 9.16/6.62 tff(24138,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10862, 24137])).
% 9.16/6.62 tff(24139,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[8642, 24134])).
% 9.16/6.62 tff(24140,plain,
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% 9.16/6.62 tff(24141,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10856, 36, 24140])).
% 9.16/6.62 tff(24142,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[24141, 24138])).
% 9.16/6.62 tff(24143,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10845, 24142])).
% 9.16/6.62 tff(24144,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[8654, 24139])).
% 9.16/6.62 tff(24145,plain,
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% 9.16/6.62 tff(24146,plain,
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% 9.16/6.62 tff(24147,plain,
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% 9.16/6.62 tff(24148,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10828, 24147])).
% 9.16/6.62 tff(24149,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[8666, 24144])).
% 9.16/6.62 tff(24150,plain,
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% 9.16/6.62 tff(24151,plain,
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% 9.16/6.62 tff(24152,plain,
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% 9.16/6.62 tff(24153,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10811, 24152])).
% 9.16/6.62 tff(24154,plain,
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% 9.16/6.62 tff(24155,plain,
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% 9.16/6.62 tff(24156,plain,
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% 9.16/6.62 tff(24157,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[24156, 24153])).
% 9.16/6.62 tff(24158,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10794, 24157])).
% 9.16/6.62 tff(24159,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[8690, 24154])).
% 9.16/6.62 tff(24160,plain,
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% 9.16/6.62 tff(24161,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10788, 36, 24160])).
% 9.16/6.62 tff(24162,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[24161, 24158])).
% 9.16/6.62 tff(24163,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10777, 24162])).
% 9.16/6.62 tff(24164,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[8702, 24159])).
% 9.16/6.62 tff(24165,plain,
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% 9.16/6.62 tff(24167,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10760, 24167])).
% 9.16/6.62 tff(24169,plain,
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% 9.16/6.62 tff(24170,plain,
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% 9.16/6.62 tff(24172,plain,
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% 9.16/6.62 tff(24173,plain,
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% 9.16/6.62 tff(24174,plain,
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% 9.16/6.62 tff(24175,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[9038, 24299])).
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% 9.16/6.62 tff(24308,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10284, 24307])).
% 9.16/6.62 tff(24309,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[9050, 24304])).
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% 9.16/6.62 tff(24312,plain,
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% 9.16/6.62 tff(24313,plain,
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% 9.16/6.62 tff(24314,plain,
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% 9.16/6.62 tff(24316,plain,
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% 9.16/6.62 tff(24317,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[24316, 24313])).
% 9.16/6.62 tff(24318,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10250, 24317])).
% 9.16/6.62 tff(24319,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[9074, 24314])).
% 9.16/6.62 tff(24320,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10237, 22, 24319])).
% 9.16/6.62 tff(24321,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10244, 36, 24320])).
% 9.16/6.62 tff(24322,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[24321, 24318])).
% 9.16/6.62 tff(24323,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10233, 24322])).
% 9.16/6.62 tff(24324,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[9086, 24319])).
% 9.16/6.62 tff(24325,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10220, 22, 24324])).
% 9.16/6.62 tff(24326,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10227, 36, 24325])).
% 9.16/6.62 tff(24327,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[24326, 24323])).
% 9.16/6.62 tff(24328,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10216, 24327])).
% 9.16/6.62 tff(24329,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[9098, 24324])).
% 9.16/6.62 tff(24330,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10203, 22, 24329])).
% 9.16/6.62 tff(24331,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10210, 36, 24330])).
% 9.16/6.62 tff(24332,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[24331, 24328])).
% 9.16/6.62 tff(24333,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10199, 24332])).
% 9.16/6.62 tff(24334,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[9110, 24329])).
% 9.16/6.62 tff(24335,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10186, 22, 24334])).
% 9.16/6.62 tff(24336,plain,
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% 9.16/6.62 tff(24337,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[24336, 24333])).
% 9.16/6.62 tff(24338,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10182, 24337])).
% 9.16/6.62 tff(24339,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[9122, 24334])).
% 9.16/6.62 tff(24340,plain,
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% 9.16/6.62 tff(24341,plain,
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% 9.16/6.62 tff(24342,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[24341, 24338])).
% 9.16/6.62 tff(24343,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[10165, 24342])).
% 9.16/6.62 tff(24344,plain,
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% 9.16/6.62 tff(24345,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[9146, 24344])).
% 9.16/6.62 tff(24346,plain,
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% 9.16/6.62 tff(24347,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[9170, 24346])).
% 9.16/6.62 tff(24348,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[9182, 24347])).
% 9.16/6.62 tff(24349,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[9194, 24348])).
% 9.16/6.62 tff(24350,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[9206, 24349])).
% 9.16/6.62 tff(24351,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[9218, 24350])).
% 9.16/6.62 tff(24352,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[9230, 24351])).
% 9.16/6.62 tff(24353,plain,
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% 9.16/6.62 tff(24354,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[9254, 24353])).
% 9.16/6.62 tff(24355,plain,
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% 9.16/6.62 tff(24356,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[9278, 24355])).
% 9.16/6.62 tff(24357,plain,
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% 9.16/6.62 tff(24358,plain,
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% 9.16/6.62 tff(24359,plain,
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% 9.16/6.62 tff(24360,plain,
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% 9.16/6.62 tff(24361,plain,
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% 9.16/6.62 tff(24362,plain,
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% 9.16/6.62 tff(24363,plain,
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% 9.16/6.62 tff(24364,plain,
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% 9.16/6.62 tff(24365,plain,
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% 9.16/6.62 tff(24366,plain,
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% 9.16/6.62 tff(24368,plain,
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% 9.16/6.62 tff(24369,plain,
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% 9.16/6.62 tff(24370,plain,
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% 9.16/6.62 tff(24371,plain,
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% 9.16/6.62 tff(24372,plain,
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% 9.16/6.62 tff(24373,plain,
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% 9.16/6.62 tff(24374,plain,
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% 9.16/6.62 tff(24375,plain,
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% 9.16/6.62 tff(24376,plain,
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% 9.16/6.62 tff(24377,plain,
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% 9.16/6.62 tff(24378,plain,
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% 9.16/6.62 tff(24379,plain,
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% 9.16/6.62 tff(24380,plain,
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% 9.16/6.62 tff(24381,plain,
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% 9.16/6.62 tff(24382,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[4750, 24381])).
% 9.16/6.62 tff(24383,plain,
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% 9.16/6.62 tff(24384,plain,
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% 9.16/6.62 tff(24385,plain,
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% 9.16/6.62 tff(24386,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[4412, 24385])).
% 9.16/6.62 tff(24387,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[4363, 24386])).
% 9.16/6.62 tff(24388,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[3944, 24387])).
% 9.16/6.62 tff(24389,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[3754, 24388])).
% 9.16/6.62 tff(24390,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[3799, 24389])).
% 9.16/6.62 tff(24391,plain,
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% 9.16/6.62 tff(24392,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[3857, 24391])).
% 9.16/6.62 tff(24393,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[3886, 24392])).
% 9.16/6.62 tff(24394,plain,
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% 9.16/6.62 tff(24395,plain,
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% 9.16/6.62 tff(24396,plain,
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% 9.16/6.62 tff(24397,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[3474, 24396])).
% 9.16/6.62 tff(24398,plain,
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% 9.16/6.62 tff(24399,plain,
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% 9.16/6.62 tff(24400,plain,
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% 9.16/6.62 tff(24401,plain,
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% 9.16/6.62 tff(24402,plain,
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% 9.16/6.62 tff(24403,plain,
% 9.16/6.62 (xuntil6(s37)),
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% 9.16/6.62 tff(24404,plain,
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% 9.16/6.62 tff(24405,plain,
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% 9.16/6.62 tff(24406,plain,
% 9.16/6.62 (xuntil6(s38)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24405, 24401])).
% 9.16/6.62 tff(24407,plain,
% 9.16/6.62 (until5(s39)),
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% 9.16/6.62 tff(24408,plain,
% 9.16/6.62 (xuntil6(s39)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[3460, 36, 24407, 24399])).
% 9.16/6.62 tff(24409,plain,
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% 9.16/6.62 tff(24410,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[3432, 22, 24397])).
% 9.16/6.62 tff(24411,plain,
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% 9.16/6.62 tff(24412,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[24411, 24409])).
% 9.16/6.62 tff(24413,plain,
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% 9.16/6.62 tff(24414,plain,
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% 9.16/6.62 tff(24415,plain,
% 9.16/6.62 (xuntil6(s41) | (~until5(s41))),
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% 9.16/6.62 tff(24416,plain,
% 9.16/6.62 (xuntil6(s41)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24415, 24413])).
% 9.16/6.62 tff(24417,plain,
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% 9.16/6.62 tff(24418,plain,
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% 9.16/6.62 tff(24419,plain,
% 9.16/6.62 (xuntil6(s42) | (~until5(s42))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[3574, 36, 24418])).
% 9.16/6.62 tff(24420,plain,
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% 9.16/6.62 inference(unit_resolution,[status(thm)],[24419, 24417])).
% 9.16/6.62 tff(24421,plain,
% 9.16/6.62 (until5(s43)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[3684, 24420])).
% 9.16/6.62 tff(24422,plain,
% 9.16/6.62 (~node4(s43)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[3693, 22, 24394])).
% 9.16/6.62 tff(24423,plain,
% 9.16/6.62 (xuntil6(s43) | (~until5(s43))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[3734, 36, 24422])).
% 9.16/6.62 tff(24424,plain,
% 9.16/6.62 (xuntil6(s43)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24423, 24421])).
% 9.16/6.62 tff(24425,plain,
% 9.16/6.62 (until5(s44)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[3740, 24424])).
% 9.16/6.62 tff(24426,plain,
% 9.16/6.62 (~node4(s44)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[3890, 22, 24393])).
% 9.16/6.62 tff(24427,plain,
% 9.16/6.62 (xuntil6(s44) | (~until5(s44))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[3897, 36, 24426])).
% 9.16/6.62 tff(24428,plain,
% 9.16/6.62 (xuntil6(s44)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24427, 24425])).
% 9.16/6.62 tff(24429,plain,
% 9.16/6.62 (until5(s45)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[3877, 24428])).
% 9.16/6.62 tff(24430,plain,
% 9.16/6.62 (~node4(s45)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[3861, 22, 24392])).
% 9.16/6.62 tff(24431,plain,
% 9.16/6.62 (xuntil6(s45) | (~until5(s45))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[3868, 36, 24430])).
% 9.16/6.62 tff(24432,plain,
% 9.16/6.62 (xuntil6(s45)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24431, 24429])).
% 9.16/6.62 tff(24433,plain,
% 9.16/6.62 (until5(s46)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[3848, 24432])).
% 9.16/6.62 tff(24434,plain,
% 9.16/6.62 (~node4(s46)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[3832, 22, 24391])).
% 9.16/6.62 tff(24435,plain,
% 9.16/6.62 (xuntil6(s46) | (~until5(s46))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[3839, 36, 24434])).
% 9.16/6.62 tff(24436,plain,
% 9.16/6.62 (xuntil6(s46)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24435, 24433])).
% 9.16/6.62 tff(24437,plain,
% 9.16/6.62 (until5(s47)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[3819, 24436])).
% 9.16/6.62 tff(24438,plain,
% 9.16/6.62 (~node4(s47)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[3803, 22, 24390])).
% 9.16/6.62 tff(24439,plain,
% 9.16/6.62 (xuntil6(s47) | (~until5(s47))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[3810, 36, 24438])).
% 9.16/6.62 tff(24440,plain,
% 9.16/6.62 (xuntil6(s47)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24439, 24437])).
% 9.16/6.62 tff(24441,plain,
% 9.16/6.62 (until5(s48)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[3790, 24440])).
% 9.16/6.62 tff(24442,plain,
% 9.16/6.62 (~node4(s48)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[3758, 22, 24389])).
% 9.16/6.62 tff(24443,plain,
% 9.16/6.62 (xuntil6(s48) | (~until5(s48))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[3782, 36, 24442])).
% 9.16/6.62 tff(24444,plain,
% 9.16/6.62 (xuntil6(s48)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24443, 24441])).
% 9.16/6.62 tff(24445,plain,
% 9.16/6.62 (until5(s49)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[3775, 24444])).
% 9.16/6.62 tff(24446,plain,
% 9.16/6.62 (~node4(s49)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[3762, 22, 24388])).
% 9.16/6.62 tff(24447,plain,
% 9.16/6.62 (xuntil6(s49) | (~until5(s49))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[3769, 36, 24446])).
% 9.16/6.62 tff(24448,plain,
% 9.16/6.62 (xuntil6(s49)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24447, 24445])).
% 9.16/6.62 tff(24449,plain,
% 9.16/6.62 (until5(s50)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[4342, 24448])).
% 9.16/6.62 tff(24450,plain,
% 9.16/6.62 (~node4(s50)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[4351, 22, 24387])).
% 9.16/6.62 tff(24451,plain,
% 9.16/6.62 (xuntil6(s50) | (~until5(s50))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[4392, 36, 24450])).
% 9.16/6.62 tff(24452,plain,
% 9.16/6.62 (xuntil6(s50)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24451, 24449])).
% 9.16/6.62 tff(24453,plain,
% 9.16/6.62 (until5(s51)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[4398, 24452])).
% 9.16/6.62 tff(24454,plain,
% 9.16/6.62 (~node4(s51)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[4416, 22, 24386])).
% 9.16/6.62 tff(24455,plain,
% 9.16/6.62 (xuntil6(s51) | (~until5(s51))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[4440, 36, 24454])).
% 9.16/6.62 tff(24456,plain,
% 9.16/6.62 (xuntil6(s51)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24455, 24453])).
% 9.16/6.62 tff(24457,plain,
% 9.16/6.62 (until5(s52)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[4433, 24456])).
% 9.16/6.62 tff(24458,plain,
% 9.16/6.62 (~node4(s52)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[4420, 22, 24385])).
% 9.16/6.62 tff(24459,plain,
% 9.16/6.62 (xuntil6(s52) | (~until5(s52))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[4427, 36, 24458])).
% 9.16/6.62 tff(24460,plain,
% 9.16/6.62 (xuntil6(s52)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24459, 24457])).
% 9.16/6.62 tff(24461,plain,
% 9.16/6.62 (until5(s53)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[4587, 24460])).
% 9.16/6.62 tff(24462,plain,
% 9.16/6.62 (~node4(s53)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[4651, 22, 24384])).
% 9.16/6.62 tff(24463,plain,
% 9.16/6.62 (xuntil6(s53) | (~until5(s53))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[4658, 36, 24462])).
% 9.16/6.62 tff(24464,plain,
% 9.16/6.62 (xuntil6(s53)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24463, 24461])).
% 9.16/6.62 tff(24465,plain,
% 9.16/6.62 (until5(s54)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[4638, 24464])).
% 9.16/6.62 tff(24466,plain,
% 9.16/6.62 (~node4(s54)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[4606, 22, 24383])).
% 9.16/6.62 tff(24467,plain,
% 9.16/6.62 (xuntil6(s54) | (~until5(s54))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[4630, 36, 24466])).
% 9.16/6.62 tff(24468,plain,
% 9.16/6.62 (xuntil6(s54)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24467, 24465])).
% 9.16/6.62 tff(24469,plain,
% 9.16/6.62 (until5(s55)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[4623, 24468])).
% 9.16/6.62 tff(24470,plain,
% 9.16/6.62 (~node4(s55)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[4610, 22, 24382])).
% 9.16/6.62 tff(24471,plain,
% 9.16/6.62 (xuntil6(s55) | (~until5(s55))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[4617, 36, 24470])).
% 9.16/6.62 tff(24472,plain,
% 9.16/6.62 (xuntil6(s55)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24471, 24469])).
% 9.16/6.62 tff(24473,plain,
% 9.16/6.62 (until5(s56)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[4856, 24472])).
% 9.16/6.62 tff(24474,plain,
% 9.16/6.62 (~node4(s56)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[4874, 22, 24381])).
% 9.16/6.62 tff(24475,plain,
% 9.16/6.62 (xuntil6(s56) | (~until5(s56))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[4898, 36, 24474])).
% 9.16/6.62 tff(24476,plain,
% 9.16/6.62 (xuntil6(s56)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24475, 24473])).
% 9.16/6.62 tff(24477,plain,
% 9.16/6.62 (until5(s57)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[4891, 24476])).
% 9.16/6.62 tff(24478,plain,
% 9.16/6.62 (~node4(s57)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[4878, 22, 24380])).
% 9.16/6.62 tff(24479,plain,
% 9.16/6.62 (xuntil6(s57) | (~until5(s57))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[4885, 36, 24478])).
% 9.16/6.62 tff(24480,plain,
% 9.16/6.62 (xuntil6(s57)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24479, 24477])).
% 9.16/6.62 tff(24481,plain,
% 9.16/6.62 (until5(s58)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[5070, 24480])).
% 9.16/6.62 tff(24482,plain,
% 9.16/6.62 (~node4(s58)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9562, 22, 24379])).
% 9.16/6.62 tff(24483,plain,
% 9.16/6.62 (xuntil6(s58) | (~until5(s58))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9569, 36, 24482])).
% 9.16/6.62 tff(24484,plain,
% 9.16/6.62 (xuntil6(s58)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24483, 24481])).
% 9.16/6.62 tff(24485,plain,
% 9.16/6.62 (until5(s59)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9575, 24484])).
% 9.16/6.62 tff(24486,plain,
% 9.16/6.62 (~node4(s59)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9546, 22, 24378])).
% 9.16/6.62 tff(24487,plain,
% 9.16/6.62 (xuntil6(s59) | (~until5(s59))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9582, 36, 24486])).
% 9.16/6.62 tff(24488,plain,
% 9.16/6.62 (xuntil6(s59)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24487, 24485])).
% 9.16/6.62 tff(24489,plain,
% 9.16/6.62 (until5(s60)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9587, 24488])).
% 9.16/6.62 tff(24490,plain,
% 9.16/6.62 (~node4(s60)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9591, 22, 24377])).
% 9.16/6.62 tff(24491,plain,
% 9.16/6.62 (xuntil6(s60) | (~until5(s60))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9598, 36, 24490])).
% 9.16/6.62 tff(24492,plain,
% 9.16/6.62 (xuntil6(s60)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24491, 24489])).
% 9.16/6.62 tff(24493,plain,
% 9.16/6.62 (until5(s61)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9604, 24492])).
% 9.16/6.62 tff(24494,plain,
% 9.16/6.62 (~node4(s61)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9608, 22, 24376])).
% 9.16/6.62 tff(24495,plain,
% 9.16/6.62 (xuntil6(s61) | (~until5(s61))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9615, 36, 24494])).
% 9.16/6.62 tff(24496,plain,
% 9.16/6.62 (xuntil6(s61)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24495, 24493])).
% 9.16/6.62 tff(24497,plain,
% 9.16/6.62 (until5(s62)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9621, 24496])).
% 9.16/6.62 tff(24498,plain,
% 9.16/6.62 (~node4(s62)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9625, 22, 24375])).
% 9.16/6.62 tff(24499,plain,
% 9.16/6.62 (xuntil6(s62) | (~until5(s62))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9632, 36, 24498])).
% 9.16/6.62 tff(24500,plain,
% 9.16/6.62 (xuntil6(s62)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24499, 24497])).
% 9.16/6.62 tff(24501,plain,
% 9.16/6.62 (until5(s63)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9638, 24500])).
% 9.16/6.62 tff(24502,plain,
% 9.16/6.62 (~node4(s63)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9642, 22, 24374])).
% 9.16/6.62 tff(24503,plain,
% 9.16/6.62 (xuntil6(s63) | (~until5(s63))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9649, 36, 24502])).
% 9.16/6.62 tff(24504,plain,
% 9.16/6.62 (xuntil6(s63)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24503, 24501])).
% 9.16/6.62 tff(24505,plain,
% 9.16/6.62 (until5(s64)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9655, 24504])).
% 9.16/6.62 tff(24506,plain,
% 9.16/6.62 (~node4(s64)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9659, 22, 24373])).
% 9.16/6.62 tff(24507,plain,
% 9.16/6.62 (xuntil6(s64) | (~until5(s64))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9666, 36, 24506])).
% 9.16/6.62 tff(24508,plain,
% 9.16/6.62 (xuntil6(s64)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24507, 24505])).
% 9.16/6.62 tff(24509,plain,
% 9.16/6.62 (until5(s65)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9672, 24508])).
% 9.16/6.62 tff(24510,plain,
% 9.16/6.62 (~node4(s65)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9676, 22, 24372])).
% 9.16/6.62 tff(24511,plain,
% 9.16/6.62 (xuntil6(s65) | (~until5(s65))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9683, 36, 24510])).
% 9.16/6.62 tff(24512,plain,
% 9.16/6.62 (xuntil6(s65)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24511, 24509])).
% 9.16/6.62 tff(24513,plain,
% 9.16/6.62 (until5(s66)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9689, 24512])).
% 9.16/6.62 tff(24514,plain,
% 9.16/6.62 (~node4(s66)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9693, 22, 24371])).
% 9.16/6.62 tff(24515,plain,
% 9.16/6.62 (xuntil6(s66) | (~until5(s66))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9700, 36, 24514])).
% 9.16/6.62 tff(24516,plain,
% 9.16/6.62 (xuntil6(s66)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24515, 24513])).
% 9.16/6.62 tff(24517,plain,
% 9.16/6.62 (until5(s67)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9706, 24516])).
% 9.16/6.62 tff(24518,plain,
% 9.16/6.62 (~node4(s67)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9710, 22, 24370])).
% 9.16/6.62 tff(24519,plain,
% 9.16/6.62 (xuntil6(s67) | (~until5(s67))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9717, 36, 24518])).
% 9.16/6.62 tff(24520,plain,
% 9.16/6.62 (xuntil6(s67)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24519, 24517])).
% 9.16/6.62 tff(24521,plain,
% 9.16/6.62 (until5(s68)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9723, 24520])).
% 9.16/6.62 tff(24522,plain,
% 9.16/6.62 (~node4(s68)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9727, 22, 24369])).
% 9.16/6.62 tff(24523,plain,
% 9.16/6.62 (xuntil6(s68) | (~until5(s68))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9734, 36, 24522])).
% 9.16/6.62 tff(24524,plain,
% 9.16/6.62 (xuntil6(s68)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24523, 24521])).
% 9.16/6.62 tff(24525,plain,
% 9.16/6.62 (until5(s69)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9740, 24524])).
% 9.16/6.62 tff(24526,plain,
% 9.16/6.62 (~node4(s69)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9744, 22, 24368])).
% 9.16/6.62 tff(24527,plain,
% 9.16/6.62 (xuntil6(s69) | (~until5(s69))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9751, 36, 24526])).
% 9.16/6.62 tff(24528,plain,
% 9.16/6.62 (xuntil6(s69)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24527, 24525])).
% 9.16/6.62 tff(24529,plain,
% 9.16/6.62 (until5(s70)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9757, 24528])).
% 9.16/6.62 tff(24530,plain,
% 9.16/6.62 (~node4(s70)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9761, 22, 24367])).
% 9.16/6.62 tff(24531,plain,
% 9.16/6.62 (xuntil6(s70) | (~until5(s70))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9768, 36, 24530])).
% 9.16/6.62 tff(24532,plain,
% 9.16/6.62 (xuntil6(s70)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24531, 24529])).
% 9.16/6.62 tff(24533,plain,
% 9.16/6.62 (until5(s71)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9774, 24532])).
% 9.16/6.62 tff(24534,plain,
% 9.16/6.62 (~node4(s71)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9778, 22, 24366])).
% 9.16/6.62 tff(24535,plain,
% 9.16/6.62 (xuntil6(s71) | (~until5(s71))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9785, 36, 24534])).
% 9.16/6.62 tff(24536,plain,
% 9.16/6.62 (xuntil6(s71)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24535, 24533])).
% 9.16/6.62 tff(24537,plain,
% 9.16/6.62 (until5(s72)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9791, 24536])).
% 9.16/6.62 tff(24538,plain,
% 9.16/6.62 (~node4(s72)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9795, 22, 24365])).
% 9.16/6.62 tff(24539,plain,
% 9.16/6.62 (xuntil6(s72) | (~until5(s72))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9802, 36, 24538])).
% 9.16/6.62 tff(24540,plain,
% 9.16/6.62 (xuntil6(s72)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24539, 24537])).
% 9.16/6.62 tff(24541,plain,
% 9.16/6.62 (until5(s73)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9808, 24540])).
% 9.16/6.62 tff(24542,plain,
% 9.16/6.62 (~node4(s73)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9812, 22, 24364])).
% 9.16/6.62 tff(24543,plain,
% 9.16/6.62 (xuntil6(s73) | (~until5(s73))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9819, 36, 24542])).
% 9.16/6.62 tff(24544,plain,
% 9.16/6.62 (xuntil6(s73)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24543, 24541])).
% 9.16/6.62 tff(24545,plain,
% 9.16/6.62 (until5(s74)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9825, 24544])).
% 9.16/6.62 tff(24546,plain,
% 9.16/6.62 (~node4(s74)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9829, 22, 24363])).
% 9.16/6.62 tff(24547,plain,
% 9.16/6.62 (xuntil6(s74) | (~until5(s74))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9836, 36, 24546])).
% 9.16/6.62 tff(24548,plain,
% 9.16/6.62 (xuntil6(s74)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24547, 24545])).
% 9.16/6.62 tff(24549,plain,
% 9.16/6.62 (until5(s75)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9842, 24548])).
% 9.16/6.62 tff(24550,plain,
% 9.16/6.62 (~node4(s75)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9846, 22, 24362])).
% 9.16/6.62 tff(24551,plain,
% 9.16/6.62 (xuntil6(s75) | (~until5(s75))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9853, 36, 24550])).
% 9.16/6.62 tff(24552,plain,
% 9.16/6.62 (xuntil6(s75)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24551, 24549])).
% 9.16/6.62 tff(24553,plain,
% 9.16/6.62 (until5(s76)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9859, 24552])).
% 9.16/6.62 tff(24554,plain,
% 9.16/6.62 (~node4(s76)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9863, 22, 24361])).
% 9.16/6.62 tff(24555,plain,
% 9.16/6.62 (xuntil6(s76) | (~until5(s76))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9870, 36, 24554])).
% 9.16/6.62 tff(24556,plain,
% 9.16/6.62 (xuntil6(s76)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24555, 24553])).
% 9.16/6.62 tff(24557,plain,
% 9.16/6.62 (until5(s77)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9876, 24556])).
% 9.16/6.62 tff(24558,plain,
% 9.16/6.62 (~node4(s77)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9880, 22, 24360])).
% 9.16/6.62 tff(24559,plain,
% 9.16/6.62 (xuntil6(s77) | (~until5(s77))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9887, 36, 24558])).
% 9.16/6.62 tff(24560,plain,
% 9.16/6.62 (xuntil6(s77)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24559, 24557])).
% 9.16/6.62 tff(24561,plain,
% 9.16/6.62 (until5(s78)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9893, 24560])).
% 9.16/6.62 tff(24562,plain,
% 9.16/6.62 (~node4(s78)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9897, 22, 24359])).
% 9.16/6.62 tff(24563,plain,
% 9.16/6.62 (xuntil6(s78) | (~until5(s78))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9904, 36, 24562])).
% 9.16/6.62 tff(24564,plain,
% 9.16/6.62 (xuntil6(s78)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24563, 24561])).
% 9.16/6.62 tff(24565,plain,
% 9.16/6.62 (until5(s79)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9910, 24564])).
% 9.16/6.62 tff(24566,plain,
% 9.16/6.62 (~node4(s79)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9914, 22, 24358])).
% 9.16/6.62 tff(24567,plain,
% 9.16/6.62 (xuntil6(s79) | (~until5(s79))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9921, 36, 24566])).
% 9.16/6.62 tff(24568,plain,
% 9.16/6.62 (xuntil6(s79)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24567, 24565])).
% 9.16/6.62 tff(24569,plain,
% 9.16/6.62 (until5(s80)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9927, 24568])).
% 9.16/6.62 tff(24570,plain,
% 9.16/6.62 (~node4(s80)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9931, 22, 24357])).
% 9.16/6.62 tff(24571,plain,
% 9.16/6.62 (xuntil6(s80) | (~until5(s80))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9938, 36, 24570])).
% 9.16/6.62 tff(24572,plain,
% 9.16/6.62 (xuntil6(s80)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24571, 24569])).
% 9.16/6.62 tff(24573,plain,
% 9.16/6.62 (until5(s81)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9944, 24572])).
% 9.16/6.62 tff(24574,plain,
% 9.16/6.62 (~node4(s81)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9948, 22, 24356])).
% 9.16/6.62 tff(24575,plain,
% 9.16/6.62 (xuntil6(s81) | (~until5(s81))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9955, 36, 24574])).
% 9.16/6.62 tff(24576,plain,
% 9.16/6.62 (xuntil6(s81)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24575, 24573])).
% 9.16/6.62 tff(24577,plain,
% 9.16/6.62 (until5(s82)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9961, 24576])).
% 9.16/6.62 tff(24578,plain,
% 9.16/6.62 (~node4(s82)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9965, 22, 24355])).
% 9.16/6.62 tff(24579,plain,
% 9.16/6.62 (xuntil6(s82) | (~until5(s82))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9972, 36, 24578])).
% 9.16/6.62 tff(24580,plain,
% 9.16/6.62 (xuntil6(s82)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24579, 24577])).
% 9.16/6.62 tff(24581,plain,
% 9.16/6.62 (until5(s83)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9978, 24580])).
% 9.16/6.62 tff(24582,plain,
% 9.16/6.62 (~node4(s83)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9982, 22, 24354])).
% 9.16/6.62 tff(24583,plain,
% 9.16/6.62 (xuntil6(s83) | (~until5(s83))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9989, 36, 24582])).
% 9.16/6.62 tff(24584,plain,
% 9.16/6.62 (xuntil6(s83)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24583, 24581])).
% 9.16/6.62 tff(24585,plain,
% 9.16/6.62 (until5(s84)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9995, 24584])).
% 9.16/6.62 tff(24586,plain,
% 9.16/6.62 (~node4(s84)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[9999, 22, 24353])).
% 9.16/6.62 tff(24587,plain,
% 9.16/6.62 (xuntil6(s84) | (~until5(s84))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[10006, 36, 24586])).
% 9.16/6.62 tff(24588,plain,
% 9.16/6.62 (xuntil6(s84)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24587, 24585])).
% 9.16/6.62 tff(24589,plain,
% 9.16/6.62 (until5(s85)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[10012, 24588])).
% 9.16/6.62 tff(24590,plain,
% 9.16/6.62 (~node4(s85)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[10016, 22, 24352])).
% 9.16/6.62 tff(24591,plain,
% 9.16/6.62 (xuntil6(s85) | (~until5(s85))),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[10023, 36, 24590])).
% 9.16/6.62 tff(24592,plain,
% 9.16/6.62 (xuntil6(s85)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[24591, 24589])).
% 9.16/6.62 tff(24593,plain,
% 9.16/6.62 (until5(s86)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[10029, 24592])).
% 9.16/6.62 tff(24594,plain,
% 9.16/6.62 (~node4(s86)),
% 9.16/6.62 inference(unit_resolution,[status(thm)],[10033, 22, 24351])).
% 9.16/6.62 tff(24595,plain,
% 9.16/6.62 (xuntil6(s86) | (~until5(s86))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10040, 36, 24594])).
% 9.16/6.63 tff(24596,plain,
% 9.16/6.63 (xuntil6(s86)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24595, 24593])).
% 9.16/6.63 tff(24597,plain,
% 9.16/6.63 (until5(s87)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10046, 24596])).
% 9.16/6.63 tff(24598,plain,
% 9.16/6.63 (~node4(s87)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10050, 22, 24350])).
% 9.16/6.63 tff(24599,plain,
% 9.16/6.63 (xuntil6(s87) | (~until5(s87))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10057, 36, 24598])).
% 9.16/6.63 tff(24600,plain,
% 9.16/6.63 (xuntil6(s87)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24599, 24597])).
% 9.16/6.63 tff(24601,plain,
% 9.16/6.63 (until5(s88)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10063, 24600])).
% 9.16/6.63 tff(24602,plain,
% 9.16/6.63 (~node4(s88)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10067, 22, 24349])).
% 9.16/6.63 tff(24603,plain,
% 9.16/6.63 (xuntil6(s88) | (~until5(s88))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10074, 36, 24602])).
% 9.16/6.63 tff(24604,plain,
% 9.16/6.63 (xuntil6(s88)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24603, 24601])).
% 9.16/6.63 tff(24605,plain,
% 9.16/6.63 (until5(s89)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10080, 24604])).
% 9.16/6.63 tff(24606,plain,
% 9.16/6.63 (~node4(s89)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10084, 22, 24348])).
% 9.16/6.63 tff(24607,plain,
% 9.16/6.63 (xuntil6(s89) | (~until5(s89))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10091, 36, 24606])).
% 9.16/6.63 tff(24608,plain,
% 9.16/6.63 (xuntil6(s89)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24607, 24605])).
% 9.16/6.63 tff(24609,plain,
% 9.16/6.63 (until5(s90)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10097, 24608])).
% 9.16/6.63 tff(24610,plain,
% 9.16/6.63 (~node4(s90)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10101, 22, 24347])).
% 9.16/6.63 tff(24611,plain,
% 9.16/6.63 (xuntil6(s90) | (~until5(s90))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10108, 36, 24610])).
% 9.16/6.63 tff(24612,plain,
% 9.16/6.63 (xuntil6(s90)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24611, 24609])).
% 9.16/6.63 tff(24613,plain,
% 9.16/6.63 (until5(s91)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10114, 24612])).
% 9.16/6.63 tff(24614,plain,
% 9.16/6.63 (~node4(s91)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10118, 22, 24346])).
% 9.16/6.63 tff(24615,plain,
% 9.16/6.63 (xuntil6(s91) | (~until5(s91))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10125, 36, 24614])).
% 9.16/6.63 tff(24616,plain,
% 9.16/6.63 (xuntil6(s91)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24615, 24613])).
% 9.16/6.63 tff(24617,plain,
% 9.16/6.63 (until5(s92)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10131, 24616])).
% 9.16/6.63 tff(24618,plain,
% 9.16/6.63 (~node4(s92)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10135, 22, 24345])).
% 9.16/6.63 tff(24619,plain,
% 9.16/6.63 (xuntil6(s92) | (~until5(s92))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10142, 36, 24618])).
% 9.16/6.63 tff(24620,plain,
% 9.16/6.63 (xuntil6(s92)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24619, 24617])).
% 9.16/6.63 tff(24621,plain,
% 9.16/6.63 (until5(s93)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10148, 24620])).
% 9.16/6.63 tff(24622,plain,
% 9.16/6.63 (~node4(s93)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10152, 22, 24344])).
% 9.16/6.63 tff(24623,plain,
% 9.16/6.63 (xuntil6(s93) | (~until5(s93))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10159, 36, 24622])).
% 9.16/6.63 tff(24624,plain,
% 9.16/6.63 ($false),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24623, 24621, 24343])).
% 9.16/6.63 tff(24625,plain,(always3(s148) | xuntil6(s148)), inference(lemma,lemma(discharge,[]))).
% 9.16/6.63 tff(24626,plain,
% 9.16/6.63 (always3(s148)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24625, 24069])).
% 9.16/6.63 tff(24627,plain,
% 9.16/6.63 (always3(s149)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8275, 24626])).
% 9.16/6.63 tff(24628,plain,
% 9.16/6.63 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s149)) | (~m_main_v_state(s149, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s149)) | (~m_main_v_state(s149, c_busy)))),
% 9.16/6.63 inference(rewrite,[status(thm)],[])).
% 9.16/6.63 tff(24629,plain,
% 9.16/6.63 (((~m_main_v_state(s149, c_busy)) | (~always3(s149))) <=> ((~always3(s149)) | (~m_main_v_state(s149, c_busy)))),
% 9.16/6.63 inference(rewrite,[status(thm)],[])).
% 9.16/6.63 tff(24630,plain,
% 9.16/6.63 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s149, c_busy)) | (~always3(s149)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s149)) | (~m_main_v_state(s149, c_busy))))),
% 9.16/6.63 inference(monotonicity,[status(thm)],[24629])).
% 9.16/6.63 tff(24631,plain,
% 9.16/6.63 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s149, c_busy)) | (~always3(s149)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s149)) | (~m_main_v_state(s149, c_busy)))),
% 9.16/6.63 inference(transitivity,[status(thm)],[24630, 24628])).
% 9.16/6.63 tff(24632,plain,
% 9.16/6.63 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s149, c_busy)) | (~always3(s149)))),
% 9.16/6.63 inference(quant_inst,[status(thm)],[])).
% 9.16/6.63 tff(24633,plain,
% 9.16/6.63 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s149)) | (~m_main_v_state(s149, c_busy))),
% 9.16/6.63 inference(modus_ponens,[status(thm)],[24632, 24631])).
% 9.16/6.63 tff(24634,plain,
% 9.16/6.63 (~m_main_v_state(s149, c_busy)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24633, 170, 24627])).
% 9.16/6.63 tff(24635,plain,
% 9.16/6.63 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s148)) | (~m_main_v_state(s148, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s148)) | (~m_main_v_state(s148, c_busy)))),
% 9.16/6.63 inference(rewrite,[status(thm)],[])).
% 9.16/6.63 tff(24636,plain,
% 9.16/6.63 (((~m_main_v_state(s148, c_busy)) | (~always3(s148))) <=> ((~always3(s148)) | (~m_main_v_state(s148, c_busy)))),
% 9.16/6.63 inference(rewrite,[status(thm)],[])).
% 9.16/6.63 tff(24637,plain,
% 9.16/6.63 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s148, c_busy)) | (~always3(s148)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s148)) | (~m_main_v_state(s148, c_busy))))),
% 9.16/6.63 inference(monotonicity,[status(thm)],[24636])).
% 9.16/6.63 tff(24638,plain,
% 9.16/6.63 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s148, c_busy)) | (~always3(s148)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s148)) | (~m_main_v_state(s148, c_busy)))),
% 9.16/6.63 inference(transitivity,[status(thm)],[24637, 24635])).
% 9.16/6.63 tff(24639,plain,
% 9.16/6.63 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s148, c_busy)) | (~always3(s148)))),
% 9.16/6.63 inference(quant_inst,[status(thm)],[])).
% 9.16/6.63 tff(24640,plain,
% 9.16/6.63 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s148)) | (~m_main_v_state(s148, c_busy))),
% 9.16/6.63 inference(modus_ponens,[status(thm)],[24639, 24638])).
% 9.16/6.63 tff(24641,plain,
% 9.16/6.63 (~m_main_v_state(s148, c_busy)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24640, 170, 24626])).
% 9.16/6.63 tff(24642,plain,
% 9.16/6.63 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s148, c_busy) | m_main_v_state(s148, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s148, c_busy) | m_main_v_state(s148, c_ready))),
% 9.16/6.63 inference(rewrite,[status(thm)],[])).
% 9.16/6.63 tff(24643,plain,
% 9.16/6.63 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s148, c_busy) | m_main_v_state(s148, c_ready))),
% 9.16/6.63 inference(quant_inst,[status(thm)],[])).
% 9.16/6.63 tff(24644,plain,
% 9.16/6.63 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s148, c_busy) | m_main_v_state(s148, c_ready)),
% 9.16/6.63 inference(modus_ponens,[status(thm)],[24643, 24642])).
% 9.16/6.63 tff(24645,plain,
% 9.16/6.63 (m_main_v_state(s148, c_ready)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24644, 213, 24641])).
% 9.16/6.63 tff(24646,assumption,(~m_main_v_state(s148, c_busy)), introduced(assumption)).
% 9.16/6.63 tff(24647,assumption,(node4(s147)), introduced(assumption)).
% 9.16/6.63 tff(24648,plain,
% 9.16/6.63 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s147) | (~node4(s147)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s147) | (~node4(s147)))),
% 9.16/6.63 inference(rewrite,[status(thm)],[])).
% 9.16/6.63 tff(24649,plain,
% 9.16/6.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s147) | (~node4(s147)))),
% 9.16/6.63 inference(quant_inst,[status(thm)],[])).
% 9.16/6.63 tff(24650,plain,
% 9.16/6.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s147) | (~node4(s147))),
% 9.16/6.63 inference(modus_ponens,[status(thm)],[24649, 24648])).
% 9.16/6.63 tff(24651,plain,
% 9.16/6.63 (m_main_v_request(s147)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24650, 154, 24647])).
% 9.16/6.63 tff(24652,plain,
% 9.16/6.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s147, s148)) | node2(s147, s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s147, s148)) | node2(s147, s148))),
% 9.16/6.63 inference(rewrite,[status(thm)],[])).
% 9.16/6.63 tff(24653,plain,
% 9.16/6.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s147, s148)) | node2(s147, s148))),
% 9.16/6.63 inference(quant_inst,[status(thm)],[])).
% 9.16/6.63 tff(24654,plain,
% 9.16/6.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s147, s148)) | node2(s147, s148)),
% 9.16/6.63 inference(modus_ponens,[status(thm)],[24653, 24652])).
% 9.16/6.63 tff(24655,plain,
% 9.16/6.63 (node2(s147, s148)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24654, 7, 8300])).
% 9.16/6.63 tff(24656,plain,
% 9.16/6.63 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s147, c_ready)) | (~node2(s147, s148)) | m_main_v_state(s148, c_busy) | (~m_main_v_request(s147)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s147, c_ready)) | (~node2(s147, s148)) | m_main_v_state(s148, c_busy) | (~m_main_v_request(s147)))),
% 9.16/6.63 inference(rewrite,[status(thm)],[])).
% 9.16/6.63 tff(24657,plain,
% 9.16/6.63 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s147, c_ready)) | (~node2(s147, s148)) | m_main_v_state(s148, c_busy) | (~m_main_v_request(s147)))),
% 9.16/6.63 inference(quant_inst,[status(thm)],[])).
% 9.16/6.63 tff(24658,plain,
% 9.16/6.63 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s147, c_ready)) | (~node2(s147, s148)) | m_main_v_state(s148, c_busy) | (~m_main_v_request(s147))),
% 9.16/6.63 inference(modus_ponens,[status(thm)],[24657, 24656])).
% 9.16/6.63 tff(24659,plain,
% 9.16/6.63 ((~m_main_v_state(s147, c_ready)) | m_main_v_state(s148, c_busy) | (~m_main_v_request(s147))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24658, 191, 24655])).
% 9.16/6.63 tff(24660,plain,
% 9.16/6.63 (~m_main_v_state(s147, c_ready)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24659, 24651, 24646])).
% 9.16/6.63 tff(24661,plain,
% 9.16/6.63 (always3(s147)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8308, 22, 24647])).
% 9.16/6.63 tff(24662,plain,
% 9.16/6.63 (~m_main_v_state(s147, c_busy)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24012, 170, 24661])).
% 9.16/6.63 tff(24663,plain,
% 9.16/6.63 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s147, c_busy) | m_main_v_state(s147, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s147, c_busy) | m_main_v_state(s147, c_ready))),
% 9.16/6.63 inference(rewrite,[status(thm)],[])).
% 9.16/6.63 tff(24664,plain,
% 9.16/6.63 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s147, c_busy) | m_main_v_state(s147, c_ready))),
% 9.16/6.63 inference(quant_inst,[status(thm)],[])).
% 9.16/6.63 tff(24665,plain,
% 9.16/6.63 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s147, c_busy) | m_main_v_state(s147, c_ready)),
% 9.16/6.63 inference(modus_ponens,[status(thm)],[24664, 24663])).
% 9.16/6.63 tff(24666,plain,
% 9.16/6.63 ($false),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24665, 213, 24662, 24660])).
% 9.16/6.63 tff(24667,plain,((~node4(s147)) | m_main_v_state(s148, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.16/6.63 tff(24668,plain,
% 9.16/6.63 (~node4(s147)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24667, 24641])).
% 9.16/6.63 tff(24669,assumption,(until5(s147)), introduced(assumption)).
% 9.16/6.63 tff(24670,plain,
% 9.16/6.63 (xuntil6(s147) | node4(s147)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8315, 36, 24669])).
% 9.16/6.63 tff(24671,plain,
% 9.16/6.63 (xuntil6(s147)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24670, 24668])).
% 9.16/6.63 tff(24672,plain,
% 9.16/6.63 (until5(s148)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8295, 24671])).
% 9.16/6.63 tff(24673,plain,
% 9.16/6.63 (node4(s148)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24074, 24672])).
% 9.16/6.63 tff(24674,plain,
% 9.16/6.63 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s148) | (~node4(s148)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s148) | (~node4(s148)))),
% 9.16/6.63 inference(rewrite,[status(thm)],[])).
% 9.16/6.63 tff(24675,plain,
% 9.16/6.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s148) | (~node4(s148)))),
% 9.16/6.63 inference(quant_inst,[status(thm)],[])).
% 9.16/6.63 tff(24676,plain,
% 9.16/6.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s148) | (~node4(s148))),
% 9.16/6.63 inference(modus_ponens,[status(thm)],[24675, 24674])).
% 9.16/6.63 tff(24677,plain,
% 9.16/6.63 (m_main_v_request(s148)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24676, 154, 24673])).
% 9.16/6.63 tff(24678,plain,
% 9.16/6.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s148, s149)) | node2(s148, s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s148, s149)) | node2(s148, s149))),
% 9.16/6.63 inference(rewrite,[status(thm)],[])).
% 9.16/6.63 tff(24679,plain,
% 9.16/6.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s148, s149)) | node2(s148, s149))),
% 9.16/6.63 inference(quant_inst,[status(thm)],[])).
% 9.16/6.63 tff(24680,plain,
% 9.16/6.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s148, s149)) | node2(s148, s149)),
% 9.16/6.63 inference(modus_ponens,[status(thm)],[24679, 24678])).
% 9.16/6.63 tff(24681,plain,
% 9.16/6.63 (node2(s148, s149)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24680, 7, 8271])).
% 9.16/6.63 tff(24682,plain,
% 9.16/6.63 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s148, c_ready)) | (~node2(s148, s149)) | m_main_v_state(s149, c_busy) | (~m_main_v_request(s148)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s148, c_ready)) | (~node2(s148, s149)) | m_main_v_state(s149, c_busy) | (~m_main_v_request(s148)))),
% 9.16/6.63 inference(rewrite,[status(thm)],[])).
% 9.16/6.63 tff(24683,plain,
% 9.16/6.63 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s148, c_ready)) | (~node2(s148, s149)) | m_main_v_state(s149, c_busy) | (~m_main_v_request(s148)))),
% 9.16/6.63 inference(quant_inst,[status(thm)],[])).
% 9.16/6.63 tff(24684,plain,
% 9.16/6.63 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s148, c_ready)) | (~node2(s148, s149)) | m_main_v_state(s149, c_busy) | (~m_main_v_request(s148))),
% 9.16/6.63 inference(modus_ponens,[status(thm)],[24683, 24682])).
% 9.16/6.63 tff(24685,plain,
% 9.16/6.63 ((~m_main_v_state(s148, c_ready)) | m_main_v_state(s149, c_busy) | (~m_main_v_request(s148))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24684, 191, 24681])).
% 9.16/6.63 tff(24686,plain,
% 9.16/6.63 ($false),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24685, 24677, 24645, 24634])).
% 9.16/6.63 tff(24687,plain,(xuntil6(s148) | (~until5(s147))), inference(lemma,lemma(discharge,[]))).
% 9.16/6.63 tff(24688,plain,
% 9.16/6.63 (xuntil6(s148)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24687, 24068])).
% 9.16/6.63 tff(24689,plain,
% 9.16/6.63 (until5(s149)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8266, 24688])).
% 9.16/6.63 tff(24690,assumption,(~xuntil6(s151)), introduced(assumption)).
% 9.16/6.63 tff(24691,assumption,(~always3(s151)), introduced(assumption)).
% 9.16/6.63 tff(24692,plain,
% 9.16/6.63 (~always3(s150)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8217, 24691])).
% 9.16/6.63 tff(24693,plain,
% 9.16/6.63 (~node4(s150)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8221, 22, 24692])).
% 9.16/6.63 tff(24694,plain,
% 9.16/6.63 (~node4(s151)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8192, 22, 24691])).
% 9.16/6.63 tff(24695,plain,
% 9.16/6.63 (node4(s151) | (~until5(s151))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8199, 36, 24690])).
% 9.16/6.63 tff(24696,plain,
% 9.16/6.63 (~until5(s151)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24695, 24694])).
% 9.16/6.63 tff(24697,plain,
% 9.16/6.63 (~xuntil6(s150)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8208, 24696])).
% 9.16/6.63 tff(24698,plain,
% 9.16/6.63 (~until5(s150)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8228, 36, 24697, 24693])).
% 9.16/6.63 tff(24699,plain,
% 9.16/6.63 (~xuntil6(s149)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8237, 24698])).
% 9.16/6.63 tff(24700,plain,
% 9.16/6.63 (~always3(s149)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8246, 24692])).
% 9.16/6.63 tff(24701,plain,
% 9.16/6.63 (~node4(s149)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8250, 22, 24700])).
% 9.16/6.63 tff(24702,plain,
% 9.16/6.63 (xuntil6(s149) | (~until5(s149))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8257, 36, 24701])).
% 9.16/6.63 tff(24703,plain,
% 9.16/6.63 (~until5(s149)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24702, 24699])).
% 9.16/6.63 tff(24704,plain,
% 9.16/6.63 (~xuntil6(s148)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8266, 24703])).
% 9.16/6.63 tff(24705,plain,
% 9.16/6.63 (~always3(s148)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8275, 24700])).
% 9.16/6.63 tff(24706,plain,
% 9.16/6.63 (~node4(s148)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8279, 22, 24705])).
% 9.16/6.63 tff(24707,plain,
% 9.16/6.63 (xuntil6(s148) | (~until5(s148))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8286, 36, 24706])).
% 9.16/6.63 tff(24708,plain,
% 9.16/6.63 (~until5(s148)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24707, 24704])).
% 9.16/6.63 tff(24709,plain,
% 9.16/6.63 (~xuntil6(s147)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8295, 24708])).
% 9.16/6.63 tff(24710,plain,
% 9.16/6.63 (~always3(s147)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8304, 24705])).
% 9.16/6.63 tff(24711,plain,
% 9.16/6.63 (~node4(s147)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8308, 22, 24710])).
% 9.16/6.63 tff(24712,plain,
% 9.16/6.63 (xuntil6(s147) | (~until5(s147))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8315, 36, 24711])).
% 9.16/6.63 tff(24713,plain,
% 9.16/6.63 (~until5(s147)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24712, 24709])).
% 9.16/6.63 tff(24714,plain,
% 9.16/6.63 (~xuntil6(s146)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8324, 24713])).
% 9.16/6.63 tff(24715,plain,
% 9.16/6.63 (~always3(s146)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8333, 24710])).
% 9.16/6.63 tff(24716,plain,
% 9.16/6.63 (~node4(s146)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8337, 22, 24715])).
% 9.16/6.63 tff(24717,plain,
% 9.16/6.63 (xuntil6(s146) | (~until5(s146))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8344, 36, 24716])).
% 9.16/6.63 tff(24718,plain,
% 9.16/6.63 (~until5(s146)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24717, 24714])).
% 9.16/6.63 tff(24719,plain,
% 9.16/6.63 (~xuntil6(s145)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8353, 24718])).
% 9.16/6.63 tff(24720,plain,
% 9.16/6.63 (~always3(s145)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8362, 24715])).
% 9.16/6.63 tff(24721,plain,
% 9.16/6.63 (~node4(s145)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8366, 22, 24720])).
% 9.16/6.63 tff(24722,plain,
% 9.16/6.63 (xuntil6(s145) | (~until5(s145))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8373, 36, 24721])).
% 9.16/6.63 tff(24723,plain,
% 9.16/6.63 (~until5(s145)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24722, 24719])).
% 9.16/6.63 tff(24724,plain,
% 9.16/6.63 (~xuntil6(s144)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8382, 24723])).
% 9.16/6.63 tff(24725,plain,
% 9.16/6.63 (~always3(s144)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8391, 24720])).
% 9.16/6.63 tff(24726,plain,
% 9.16/6.63 (~node4(s144)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8395, 22, 24725])).
% 9.16/6.63 tff(24727,plain,
% 9.16/6.63 (xuntil6(s144) | (~until5(s144))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8402, 36, 24726])).
% 9.16/6.63 tff(24728,plain,
% 9.16/6.63 (~until5(s144)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24727, 24724])).
% 9.16/6.63 tff(24729,plain,
% 9.16/6.63 (~xuntil6(s143)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8411, 24728])).
% 9.16/6.63 tff(24730,plain,
% 9.16/6.63 (~always3(s143)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8420, 24725])).
% 9.16/6.63 tff(24731,plain,
% 9.16/6.63 (~node4(s143)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8424, 22, 24730])).
% 9.16/6.63 tff(24732,plain,
% 9.16/6.63 (xuntil6(s143) | (~until5(s143))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8431, 36, 24731])).
% 9.16/6.63 tff(24733,plain,
% 9.16/6.63 (~until5(s143)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24732, 24729])).
% 9.16/6.63 tff(24734,plain,
% 9.16/6.63 (~xuntil6(s142)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8440, 24733])).
% 9.16/6.63 tff(24735,plain,
% 9.16/6.63 (~always3(s142)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8449, 24730])).
% 9.16/6.63 tff(24736,plain,
% 9.16/6.63 (~node4(s142)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8453, 22, 24735])).
% 9.16/6.63 tff(24737,plain,
% 9.16/6.63 (xuntil6(s142) | (~until5(s142))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8460, 36, 24736])).
% 9.16/6.63 tff(24738,plain,
% 9.16/6.63 (~until5(s142)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24737, 24734])).
% 9.16/6.63 tff(24739,plain,
% 9.16/6.63 (~xuntil6(s141)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8469, 24738])).
% 9.16/6.63 tff(24740,plain,
% 9.16/6.63 (~always3(s141)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8478, 24735])).
% 9.16/6.63 tff(24741,plain,
% 9.16/6.63 (~node4(s141)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8482, 22, 24740])).
% 9.16/6.63 tff(24742,plain,
% 9.16/6.63 (xuntil6(s141) | (~until5(s141))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8489, 36, 24741])).
% 9.16/6.63 tff(24743,plain,
% 9.16/6.63 (~until5(s141)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24742, 24739])).
% 9.16/6.63 tff(24744,plain,
% 9.16/6.63 (~xuntil6(s140)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8498, 24743])).
% 9.16/6.63 tff(24745,plain,
% 9.16/6.63 (~always3(s140)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8507, 24740])).
% 9.16/6.63 tff(24746,plain,
% 9.16/6.63 (~node4(s140)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8511, 22, 24745])).
% 9.16/6.63 tff(24747,plain,
% 9.16/6.63 (xuntil6(s140) | (~until5(s140))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8518, 36, 24746])).
% 9.16/6.63 tff(24748,plain,
% 9.16/6.63 (~until5(s140)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24747, 24744])).
% 9.16/6.63 tff(24749,plain,
% 9.16/6.63 (~xuntil6(s139)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8527, 24748])).
% 9.16/6.63 tff(24750,plain,
% 9.16/6.63 (~always3(s139)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8536, 24745])).
% 9.16/6.63 tff(24751,plain,
% 9.16/6.63 (~node4(s139)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8540, 22, 24750])).
% 9.16/6.63 tff(24752,plain,
% 9.16/6.63 (xuntil6(s139) | (~until5(s139))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8547, 36, 24751])).
% 9.16/6.63 tff(24753,plain,
% 9.16/6.63 (~until5(s139)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24752, 24749])).
% 9.16/6.63 tff(24754,plain,
% 9.16/6.63 (~xuntil6(s138)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8556, 24753])).
% 9.16/6.63 tff(24755,plain,
% 9.16/6.63 (~always3(s138)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8565, 24750])).
% 9.16/6.63 tff(24756,plain,
% 9.16/6.63 (~node4(s138)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8569, 22, 24755])).
% 9.16/6.63 tff(24757,plain,
% 9.16/6.63 (xuntil6(s138) | (~until5(s138))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8576, 36, 24756])).
% 9.16/6.63 tff(24758,plain,
% 9.16/6.63 (~until5(s138)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24757, 24754])).
% 9.16/6.63 tff(24759,plain,
% 9.16/6.63 (~xuntil6(s137)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8585, 24758])).
% 9.16/6.63 tff(24760,plain,
% 9.16/6.63 (~always3(s137)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8594, 24755])).
% 9.16/6.63 tff(24761,plain,
% 9.16/6.63 (~node4(s137)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8598, 22, 24760])).
% 9.16/6.63 tff(24762,plain,
% 9.16/6.63 (xuntil6(s137) | (~until5(s137))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8605, 36, 24761])).
% 9.16/6.63 tff(24763,plain,
% 9.16/6.63 (~until5(s137)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24762, 24759])).
% 9.16/6.63 tff(24764,plain,
% 9.16/6.63 (~xuntil6(s136)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10896, 24763])).
% 9.16/6.63 tff(24765,plain,
% 9.16/6.63 (~always3(s136)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8618, 24760])).
% 9.16/6.63 tff(24766,plain,
% 9.16/6.63 (~node4(s136)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10883, 22, 24765])).
% 9.16/6.63 tff(24767,plain,
% 9.16/6.63 (xuntil6(s136) | (~until5(s136))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10890, 36, 24766])).
% 9.16/6.63 tff(24768,plain,
% 9.16/6.63 (~until5(s136)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24767, 24764])).
% 9.16/6.63 tff(24769,plain,
% 9.16/6.63 (~xuntil6(s135)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10879, 24768])).
% 9.16/6.63 tff(24770,plain,
% 9.16/6.63 (~always3(s135)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8630, 24765])).
% 9.16/6.63 tff(24771,plain,
% 9.16/6.63 (~node4(s135)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10866, 22, 24770])).
% 9.16/6.63 tff(24772,plain,
% 9.16/6.63 (xuntil6(s135) | (~until5(s135))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10873, 36, 24771])).
% 9.16/6.63 tff(24773,plain,
% 9.16/6.63 (~until5(s135)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24772, 24769])).
% 9.16/6.63 tff(24774,plain,
% 9.16/6.63 (~xuntil6(s134)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10862, 24773])).
% 9.16/6.63 tff(24775,plain,
% 9.16/6.63 (~always3(s134)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8642, 24770])).
% 9.16/6.63 tff(24776,plain,
% 9.16/6.63 (~node4(s134)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10849, 22, 24775])).
% 9.16/6.63 tff(24777,plain,
% 9.16/6.63 (xuntil6(s134) | (~until5(s134))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10856, 36, 24776])).
% 9.16/6.63 tff(24778,plain,
% 9.16/6.63 (~until5(s134)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24777, 24774])).
% 9.16/6.63 tff(24779,plain,
% 9.16/6.63 (~xuntil6(s133)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10845, 24778])).
% 9.16/6.63 tff(24780,plain,
% 9.16/6.63 (~always3(s133)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8654, 24775])).
% 9.16/6.63 tff(24781,plain,
% 9.16/6.63 (~node4(s133)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10832, 22, 24780])).
% 9.16/6.63 tff(24782,plain,
% 9.16/6.63 (xuntil6(s133) | (~until5(s133))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10839, 36, 24781])).
% 9.16/6.63 tff(24783,plain,
% 9.16/6.63 (~until5(s133)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24782, 24779])).
% 9.16/6.63 tff(24784,plain,
% 9.16/6.63 (~xuntil6(s132)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10828, 24783])).
% 9.16/6.63 tff(24785,plain,
% 9.16/6.63 (~always3(s132)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8666, 24780])).
% 9.16/6.63 tff(24786,plain,
% 9.16/6.63 (~node4(s132)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10815, 22, 24785])).
% 9.16/6.63 tff(24787,plain,
% 9.16/6.63 (xuntil6(s132) | (~until5(s132))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10822, 36, 24786])).
% 9.16/6.63 tff(24788,plain,
% 9.16/6.63 (~until5(s132)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24787, 24784])).
% 9.16/6.63 tff(24789,plain,
% 9.16/6.63 (~xuntil6(s131)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10811, 24788])).
% 9.16/6.63 tff(24790,plain,
% 9.16/6.63 (~always3(s131)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8678, 24785])).
% 9.16/6.63 tff(24791,plain,
% 9.16/6.63 (~node4(s131)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10798, 22, 24790])).
% 9.16/6.63 tff(24792,plain,
% 9.16/6.63 (xuntil6(s131) | (~until5(s131))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10805, 36, 24791])).
% 9.16/6.63 tff(24793,plain,
% 9.16/6.63 (~until5(s131)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24792, 24789])).
% 9.16/6.63 tff(24794,plain,
% 9.16/6.63 (~xuntil6(s130)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10794, 24793])).
% 9.16/6.63 tff(24795,plain,
% 9.16/6.63 (~always3(s130)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8690, 24790])).
% 9.16/6.63 tff(24796,plain,
% 9.16/6.63 (~node4(s130)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10781, 22, 24795])).
% 9.16/6.63 tff(24797,plain,
% 9.16/6.63 (xuntil6(s130) | (~until5(s130))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10788, 36, 24796])).
% 9.16/6.63 tff(24798,plain,
% 9.16/6.63 (~until5(s130)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24797, 24794])).
% 9.16/6.63 tff(24799,plain,
% 9.16/6.63 (~xuntil6(s129)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10777, 24798])).
% 9.16/6.63 tff(24800,plain,
% 9.16/6.63 (~always3(s129)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8702, 24795])).
% 9.16/6.63 tff(24801,plain,
% 9.16/6.63 (~node4(s129)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10764, 22, 24800])).
% 9.16/6.63 tff(24802,plain,
% 9.16/6.63 (xuntil6(s129) | (~until5(s129))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10771, 36, 24801])).
% 9.16/6.63 tff(24803,plain,
% 9.16/6.63 (~until5(s129)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24802, 24799])).
% 9.16/6.63 tff(24804,plain,
% 9.16/6.63 (~xuntil6(s128)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10760, 24803])).
% 9.16/6.63 tff(24805,plain,
% 9.16/6.63 (~always3(s128)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8714, 24800])).
% 9.16/6.63 tff(24806,plain,
% 9.16/6.63 (~node4(s128)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10747, 22, 24805])).
% 9.16/6.63 tff(24807,plain,
% 9.16/6.63 (xuntil6(s128) | (~until5(s128))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10754, 36, 24806])).
% 9.16/6.63 tff(24808,plain,
% 9.16/6.63 (~until5(s128)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24807, 24804])).
% 9.16/6.63 tff(24809,plain,
% 9.16/6.63 (~xuntil6(s127)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10743, 24808])).
% 9.16/6.63 tff(24810,plain,
% 9.16/6.63 (~always3(s127)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8726, 24805])).
% 9.16/6.63 tff(24811,plain,
% 9.16/6.63 (~node4(s127)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10730, 22, 24810])).
% 9.16/6.63 tff(24812,plain,
% 9.16/6.63 (xuntil6(s127) | (~until5(s127))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10737, 36, 24811])).
% 9.16/6.63 tff(24813,plain,
% 9.16/6.63 (~until5(s127)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24812, 24809])).
% 9.16/6.63 tff(24814,plain,
% 9.16/6.63 (~xuntil6(s126)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10726, 24813])).
% 9.16/6.63 tff(24815,plain,
% 9.16/6.63 (~always3(s126)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8738, 24810])).
% 9.16/6.63 tff(24816,plain,
% 9.16/6.63 (~node4(s126)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10713, 22, 24815])).
% 9.16/6.63 tff(24817,plain,
% 9.16/6.63 (xuntil6(s126) | (~until5(s126))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10720, 36, 24816])).
% 9.16/6.63 tff(24818,plain,
% 9.16/6.63 (~until5(s126)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24817, 24814])).
% 9.16/6.63 tff(24819,plain,
% 9.16/6.63 (~xuntil6(s125)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10709, 24818])).
% 9.16/6.63 tff(24820,plain,
% 9.16/6.63 (~always3(s125)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8750, 24815])).
% 9.16/6.63 tff(24821,plain,
% 9.16/6.63 (~node4(s125)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10696, 22, 24820])).
% 9.16/6.63 tff(24822,plain,
% 9.16/6.63 (xuntil6(s125) | (~until5(s125))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10703, 36, 24821])).
% 9.16/6.63 tff(24823,plain,
% 9.16/6.63 (~until5(s125)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24822, 24819])).
% 9.16/6.63 tff(24824,plain,
% 9.16/6.63 (~xuntil6(s124)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10692, 24823])).
% 9.16/6.63 tff(24825,plain,
% 9.16/6.63 (~always3(s124)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8762, 24820])).
% 9.16/6.63 tff(24826,plain,
% 9.16/6.63 (~node4(s124)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10679, 22, 24825])).
% 9.16/6.63 tff(24827,plain,
% 9.16/6.63 (xuntil6(s124) | (~until5(s124))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10686, 36, 24826])).
% 9.16/6.63 tff(24828,plain,
% 9.16/6.63 (~until5(s124)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24827, 24824])).
% 9.16/6.63 tff(24829,plain,
% 9.16/6.63 (~xuntil6(s123)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10675, 24828])).
% 9.16/6.63 tff(24830,plain,
% 9.16/6.63 (~always3(s123)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8774, 24825])).
% 9.16/6.63 tff(24831,plain,
% 9.16/6.63 (~node4(s123)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10662, 22, 24830])).
% 9.16/6.63 tff(24832,plain,
% 9.16/6.63 (xuntil6(s123) | (~until5(s123))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10669, 36, 24831])).
% 9.16/6.63 tff(24833,plain,
% 9.16/6.63 (~until5(s123)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24832, 24829])).
% 9.16/6.63 tff(24834,plain,
% 9.16/6.63 (~xuntil6(s122)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10658, 24833])).
% 9.16/6.63 tff(24835,plain,
% 9.16/6.63 (~always3(s122)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8786, 24830])).
% 9.16/6.63 tff(24836,plain,
% 9.16/6.63 (~node4(s122)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10645, 22, 24835])).
% 9.16/6.63 tff(24837,plain,
% 9.16/6.63 (xuntil6(s122) | (~until5(s122))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10652, 36, 24836])).
% 9.16/6.63 tff(24838,plain,
% 9.16/6.63 (~until5(s122)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24837, 24834])).
% 9.16/6.63 tff(24839,plain,
% 9.16/6.63 (~xuntil6(s121)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10641, 24838])).
% 9.16/6.63 tff(24840,plain,
% 9.16/6.63 (~always3(s121)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8798, 24835])).
% 9.16/6.63 tff(24841,plain,
% 9.16/6.63 (~node4(s121)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10628, 22, 24840])).
% 9.16/6.63 tff(24842,plain,
% 9.16/6.63 (xuntil6(s121) | (~until5(s121))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10635, 36, 24841])).
% 9.16/6.63 tff(24843,plain,
% 9.16/6.63 (~until5(s121)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24842, 24839])).
% 9.16/6.63 tff(24844,plain,
% 9.16/6.63 (~xuntil6(s120)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10624, 24843])).
% 9.16/6.63 tff(24845,plain,
% 9.16/6.63 (~always3(s120)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8810, 24840])).
% 9.16/6.63 tff(24846,plain,
% 9.16/6.63 (~node4(s120)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10611, 22, 24845])).
% 9.16/6.63 tff(24847,plain,
% 9.16/6.63 (xuntil6(s120) | (~until5(s120))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10618, 36, 24846])).
% 9.16/6.63 tff(24848,plain,
% 9.16/6.63 (~until5(s120)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24847, 24844])).
% 9.16/6.63 tff(24849,plain,
% 9.16/6.63 (~xuntil6(s119)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10607, 24848])).
% 9.16/6.63 tff(24850,plain,
% 9.16/6.63 (~always3(s119)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8822, 24845])).
% 9.16/6.63 tff(24851,plain,
% 9.16/6.63 (~node4(s119)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10594, 22, 24850])).
% 9.16/6.63 tff(24852,plain,
% 9.16/6.63 (xuntil6(s119) | (~until5(s119))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10601, 36, 24851])).
% 9.16/6.63 tff(24853,plain,
% 9.16/6.63 (~until5(s119)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24852, 24849])).
% 9.16/6.63 tff(24854,plain,
% 9.16/6.63 (~xuntil6(s118)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10590, 24853])).
% 9.16/6.63 tff(24855,plain,
% 9.16/6.63 (~always3(s118)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8834, 24850])).
% 9.16/6.63 tff(24856,plain,
% 9.16/6.63 (~node4(s118)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10577, 22, 24855])).
% 9.16/6.63 tff(24857,plain,
% 9.16/6.63 (xuntil6(s118) | (~until5(s118))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10584, 36, 24856])).
% 9.16/6.63 tff(24858,plain,
% 9.16/6.63 (~until5(s118)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24857, 24854])).
% 9.16/6.63 tff(24859,plain,
% 9.16/6.63 (~xuntil6(s117)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10573, 24858])).
% 9.16/6.63 tff(24860,plain,
% 9.16/6.63 (~always3(s117)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8846, 24855])).
% 9.16/6.63 tff(24861,plain,
% 9.16/6.63 (~node4(s117)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10560, 22, 24860])).
% 9.16/6.63 tff(24862,plain,
% 9.16/6.63 (xuntil6(s117) | (~until5(s117))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10567, 36, 24861])).
% 9.16/6.63 tff(24863,plain,
% 9.16/6.63 (~until5(s117)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24862, 24859])).
% 9.16/6.63 tff(24864,plain,
% 9.16/6.63 (~xuntil6(s116)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10556, 24863])).
% 9.16/6.63 tff(24865,plain,
% 9.16/6.63 (~always3(s116)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8858, 24860])).
% 9.16/6.63 tff(24866,plain,
% 9.16/6.63 (~node4(s116)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10543, 22, 24865])).
% 9.16/6.63 tff(24867,plain,
% 9.16/6.63 (xuntil6(s116) | (~until5(s116))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10550, 36, 24866])).
% 9.16/6.63 tff(24868,plain,
% 9.16/6.63 (~until5(s116)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24867, 24864])).
% 9.16/6.63 tff(24869,plain,
% 9.16/6.63 (~xuntil6(s115)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10539, 24868])).
% 9.16/6.63 tff(24870,plain,
% 9.16/6.63 (~always3(s115)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8870, 24865])).
% 9.16/6.63 tff(24871,plain,
% 9.16/6.63 (~node4(s115)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10526, 22, 24870])).
% 9.16/6.63 tff(24872,plain,
% 9.16/6.63 (xuntil6(s115) | (~until5(s115))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10533, 36, 24871])).
% 9.16/6.63 tff(24873,plain,
% 9.16/6.63 (~until5(s115)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24872, 24869])).
% 9.16/6.63 tff(24874,plain,
% 9.16/6.63 (~xuntil6(s114)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10522, 24873])).
% 9.16/6.63 tff(24875,plain,
% 9.16/6.63 (~always3(s114)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8882, 24870])).
% 9.16/6.63 tff(24876,plain,
% 9.16/6.63 (~node4(s114)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10509, 22, 24875])).
% 9.16/6.63 tff(24877,plain,
% 9.16/6.63 (xuntil6(s114) | (~until5(s114))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10516, 36, 24876])).
% 9.16/6.63 tff(24878,plain,
% 9.16/6.63 (~until5(s114)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24877, 24874])).
% 9.16/6.63 tff(24879,plain,
% 9.16/6.63 (~xuntil6(s113)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10505, 24878])).
% 9.16/6.63 tff(24880,plain,
% 9.16/6.63 (~always3(s113)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8894, 24875])).
% 9.16/6.63 tff(24881,plain,
% 9.16/6.63 (~node4(s113)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10492, 22, 24880])).
% 9.16/6.63 tff(24882,plain,
% 9.16/6.63 (xuntil6(s113) | (~until5(s113))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10499, 36, 24881])).
% 9.16/6.63 tff(24883,plain,
% 9.16/6.63 (~until5(s113)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24882, 24879])).
% 9.16/6.63 tff(24884,plain,
% 9.16/6.63 (~xuntil6(s112)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10488, 24883])).
% 9.16/6.63 tff(24885,plain,
% 9.16/6.63 (~always3(s112)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8906, 24880])).
% 9.16/6.63 tff(24886,plain,
% 9.16/6.63 (~node4(s112)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10475, 22, 24885])).
% 9.16/6.63 tff(24887,plain,
% 9.16/6.63 (xuntil6(s112) | (~until5(s112))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10482, 36, 24886])).
% 9.16/6.63 tff(24888,plain,
% 9.16/6.63 (~until5(s112)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24887, 24884])).
% 9.16/6.63 tff(24889,plain,
% 9.16/6.63 (~xuntil6(s111)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10471, 24888])).
% 9.16/6.63 tff(24890,plain,
% 9.16/6.63 (~always3(s111)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8918, 24885])).
% 9.16/6.63 tff(24891,plain,
% 9.16/6.63 (~node4(s111)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10458, 22, 24890])).
% 9.16/6.63 tff(24892,plain,
% 9.16/6.63 (xuntil6(s111) | (~until5(s111))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10465, 36, 24891])).
% 9.16/6.63 tff(24893,plain,
% 9.16/6.63 (~until5(s111)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24892, 24889])).
% 9.16/6.63 tff(24894,plain,
% 9.16/6.63 (~xuntil6(s110)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10454, 24893])).
% 9.16/6.63 tff(24895,plain,
% 9.16/6.63 (~always3(s110)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8930, 24890])).
% 9.16/6.63 tff(24896,plain,
% 9.16/6.63 (~node4(s110)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10441, 22, 24895])).
% 9.16/6.63 tff(24897,plain,
% 9.16/6.63 (xuntil6(s110) | (~until5(s110))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10448, 36, 24896])).
% 9.16/6.63 tff(24898,plain,
% 9.16/6.63 (~until5(s110)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24897, 24894])).
% 9.16/6.63 tff(24899,plain,
% 9.16/6.63 (~xuntil6(s109)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10437, 24898])).
% 9.16/6.63 tff(24900,plain,
% 9.16/6.63 (~always3(s109)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8942, 24895])).
% 9.16/6.63 tff(24901,plain,
% 9.16/6.63 (~node4(s109)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10424, 22, 24900])).
% 9.16/6.63 tff(24902,plain,
% 9.16/6.63 (xuntil6(s109) | (~until5(s109))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10431, 36, 24901])).
% 9.16/6.63 tff(24903,plain,
% 9.16/6.63 (~until5(s109)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24902, 24899])).
% 9.16/6.63 tff(24904,plain,
% 9.16/6.63 (~xuntil6(s108)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10420, 24903])).
% 9.16/6.63 tff(24905,plain,
% 9.16/6.63 (~always3(s108)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8954, 24900])).
% 9.16/6.63 tff(24906,plain,
% 9.16/6.63 (~node4(s108)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10407, 22, 24905])).
% 9.16/6.63 tff(24907,plain,
% 9.16/6.63 (xuntil6(s108) | (~until5(s108))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10414, 36, 24906])).
% 9.16/6.63 tff(24908,plain,
% 9.16/6.63 (~until5(s108)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24907, 24904])).
% 9.16/6.63 tff(24909,plain,
% 9.16/6.63 (~xuntil6(s107)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10403, 24908])).
% 9.16/6.63 tff(24910,plain,
% 9.16/6.63 (~always3(s107)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8966, 24905])).
% 9.16/6.63 tff(24911,plain,
% 9.16/6.63 (~node4(s107)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10390, 22, 24910])).
% 9.16/6.63 tff(24912,plain,
% 9.16/6.63 (xuntil6(s107) | (~until5(s107))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10397, 36, 24911])).
% 9.16/6.63 tff(24913,plain,
% 9.16/6.63 (~until5(s107)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24912, 24909])).
% 9.16/6.63 tff(24914,plain,
% 9.16/6.63 (~xuntil6(s106)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10386, 24913])).
% 9.16/6.63 tff(24915,plain,
% 9.16/6.63 (~always3(s106)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8978, 24910])).
% 9.16/6.63 tff(24916,plain,
% 9.16/6.63 (~node4(s106)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10373, 22, 24915])).
% 9.16/6.63 tff(24917,plain,
% 9.16/6.63 (xuntil6(s106) | (~until5(s106))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10380, 36, 24916])).
% 9.16/6.63 tff(24918,plain,
% 9.16/6.63 (~until5(s106)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24917, 24914])).
% 9.16/6.63 tff(24919,plain,
% 9.16/6.63 (~xuntil6(s105)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10369, 24918])).
% 9.16/6.63 tff(24920,plain,
% 9.16/6.63 (~always3(s105)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[8990, 24915])).
% 9.16/6.63 tff(24921,plain,
% 9.16/6.63 (~node4(s105)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10356, 22, 24920])).
% 9.16/6.63 tff(24922,plain,
% 9.16/6.63 (xuntil6(s105) | (~until5(s105))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10363, 36, 24921])).
% 9.16/6.63 tff(24923,plain,
% 9.16/6.63 (~until5(s105)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24922, 24919])).
% 9.16/6.63 tff(24924,plain,
% 9.16/6.63 (~xuntil6(s104)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10352, 24923])).
% 9.16/6.63 tff(24925,plain,
% 9.16/6.63 (~always3(s104)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9002, 24920])).
% 9.16/6.63 tff(24926,plain,
% 9.16/6.63 (~node4(s104)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10339, 22, 24925])).
% 9.16/6.63 tff(24927,plain,
% 9.16/6.63 (xuntil6(s104) | (~until5(s104))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10346, 36, 24926])).
% 9.16/6.63 tff(24928,plain,
% 9.16/6.63 (~until5(s104)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24927, 24924])).
% 9.16/6.63 tff(24929,plain,
% 9.16/6.63 (~xuntil6(s103)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10335, 24928])).
% 9.16/6.63 tff(24930,plain,
% 9.16/6.63 (~always3(s103)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9014, 24925])).
% 9.16/6.63 tff(24931,plain,
% 9.16/6.63 (~node4(s103)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10322, 22, 24930])).
% 9.16/6.63 tff(24932,plain,
% 9.16/6.63 (xuntil6(s103) | (~until5(s103))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10329, 36, 24931])).
% 9.16/6.63 tff(24933,plain,
% 9.16/6.63 (~until5(s103)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24932, 24929])).
% 9.16/6.63 tff(24934,plain,
% 9.16/6.63 (~xuntil6(s102)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10318, 24933])).
% 9.16/6.63 tff(24935,plain,
% 9.16/6.63 (~always3(s102)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9026, 24930])).
% 9.16/6.63 tff(24936,plain,
% 9.16/6.63 (~node4(s102)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10305, 22, 24935])).
% 9.16/6.63 tff(24937,plain,
% 9.16/6.63 (xuntil6(s102) | (~until5(s102))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10312, 36, 24936])).
% 9.16/6.63 tff(24938,plain,
% 9.16/6.63 (~until5(s102)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24937, 24934])).
% 9.16/6.63 tff(24939,plain,
% 9.16/6.63 (~xuntil6(s101)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10301, 24938])).
% 9.16/6.63 tff(24940,plain,
% 9.16/6.63 (~always3(s101)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9038, 24935])).
% 9.16/6.63 tff(24941,plain,
% 9.16/6.63 (~node4(s101)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10288, 22, 24940])).
% 9.16/6.63 tff(24942,plain,
% 9.16/6.63 (xuntil6(s101) | (~until5(s101))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10295, 36, 24941])).
% 9.16/6.63 tff(24943,plain,
% 9.16/6.63 (~until5(s101)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24942, 24939])).
% 9.16/6.63 tff(24944,plain,
% 9.16/6.63 (~xuntil6(s100)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10284, 24943])).
% 9.16/6.63 tff(24945,plain,
% 9.16/6.63 (~always3(s100)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9050, 24940])).
% 9.16/6.63 tff(24946,plain,
% 9.16/6.63 (~node4(s100)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10271, 22, 24945])).
% 9.16/6.63 tff(24947,plain,
% 9.16/6.63 (xuntil6(s100) | (~until5(s100))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10278, 36, 24946])).
% 9.16/6.63 tff(24948,plain,
% 9.16/6.63 (~until5(s100)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24947, 24944])).
% 9.16/6.63 tff(24949,plain,
% 9.16/6.63 (~xuntil6(s99)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10267, 24948])).
% 9.16/6.63 tff(24950,plain,
% 9.16/6.63 (~always3(s99)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9062, 24945])).
% 9.16/6.63 tff(24951,plain,
% 9.16/6.63 (~node4(s99)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10254, 22, 24950])).
% 9.16/6.63 tff(24952,plain,
% 9.16/6.63 (xuntil6(s99) | (~until5(s99))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10261, 36, 24951])).
% 9.16/6.63 tff(24953,plain,
% 9.16/6.63 (~until5(s99)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24952, 24949])).
% 9.16/6.63 tff(24954,plain,
% 9.16/6.63 (~xuntil6(s98)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10250, 24953])).
% 9.16/6.63 tff(24955,plain,
% 9.16/6.63 (~always3(s98)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9074, 24950])).
% 9.16/6.63 tff(24956,plain,
% 9.16/6.63 (~node4(s98)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10237, 22, 24955])).
% 9.16/6.63 tff(24957,plain,
% 9.16/6.63 (xuntil6(s98) | (~until5(s98))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10244, 36, 24956])).
% 9.16/6.63 tff(24958,plain,
% 9.16/6.63 (~until5(s98)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24957, 24954])).
% 9.16/6.63 tff(24959,plain,
% 9.16/6.63 (~xuntil6(s97)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10233, 24958])).
% 9.16/6.63 tff(24960,plain,
% 9.16/6.63 (~always3(s97)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9086, 24955])).
% 9.16/6.63 tff(24961,plain,
% 9.16/6.63 (~node4(s97)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10220, 22, 24960])).
% 9.16/6.63 tff(24962,plain,
% 9.16/6.63 (xuntil6(s97) | (~until5(s97))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10227, 36, 24961])).
% 9.16/6.63 tff(24963,plain,
% 9.16/6.63 (~until5(s97)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24962, 24959])).
% 9.16/6.63 tff(24964,plain,
% 9.16/6.63 (~xuntil6(s96)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10216, 24963])).
% 9.16/6.63 tff(24965,plain,
% 9.16/6.63 (~always3(s96)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9098, 24960])).
% 9.16/6.63 tff(24966,plain,
% 9.16/6.63 (~node4(s96)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10203, 22, 24965])).
% 9.16/6.63 tff(24967,plain,
% 9.16/6.63 (xuntil6(s96) | (~until5(s96))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10210, 36, 24966])).
% 9.16/6.63 tff(24968,plain,
% 9.16/6.63 (~until5(s96)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24967, 24964])).
% 9.16/6.63 tff(24969,plain,
% 9.16/6.63 (~xuntil6(s95)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10199, 24968])).
% 9.16/6.63 tff(24970,plain,
% 9.16/6.63 (~always3(s95)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9110, 24965])).
% 9.16/6.63 tff(24971,plain,
% 9.16/6.63 (~node4(s95)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10186, 22, 24970])).
% 9.16/6.63 tff(24972,plain,
% 9.16/6.63 (xuntil6(s95) | (~until5(s95))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[10193, 36, 24971])).
% 9.16/6.63 tff(24973,plain,
% 9.16/6.63 (~until5(s95)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[24972, 24969])).
% 9.16/6.63 tff(24974,plain,
% 9.16/6.63 (~always3(s94)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9122, 24970])).
% 9.16/6.63 tff(24975,plain,
% 9.16/6.63 (~always3(s93)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9134, 24974])).
% 9.16/6.63 tff(24976,plain,
% 9.16/6.63 (~always3(s92)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9146, 24975])).
% 9.16/6.63 tff(24977,plain,
% 9.16/6.63 (~always3(s91)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9158, 24976])).
% 9.16/6.63 tff(24978,plain,
% 9.16/6.63 (~always3(s90)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9170, 24977])).
% 9.16/6.63 tff(24979,plain,
% 9.16/6.63 (~always3(s89)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9182, 24978])).
% 9.16/6.63 tff(24980,plain,
% 9.16/6.63 (~always3(s88)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9194, 24979])).
% 9.16/6.63 tff(24981,plain,
% 9.16/6.63 (~always3(s87)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9206, 24980])).
% 9.16/6.63 tff(24982,plain,
% 9.16/6.63 (~always3(s86)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9218, 24981])).
% 9.16/6.63 tff(24983,plain,
% 9.16/6.63 (~always3(s85)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9230, 24982])).
% 9.16/6.63 tff(24984,plain,
% 9.16/6.63 (~always3(s84)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9242, 24983])).
% 9.16/6.63 tff(24985,plain,
% 9.16/6.63 (~always3(s83)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9254, 24984])).
% 9.16/6.63 tff(24986,plain,
% 9.16/6.63 (~always3(s82)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9266, 24985])).
% 9.16/6.63 tff(24987,plain,
% 9.16/6.63 (~always3(s81)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9278, 24986])).
% 9.16/6.63 tff(24988,plain,
% 9.16/6.63 (~always3(s80)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9290, 24987])).
% 9.16/6.63 tff(24989,plain,
% 9.16/6.63 (~always3(s79)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9302, 24988])).
% 9.16/6.63 tff(24990,plain,
% 9.16/6.63 (~always3(s78)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9314, 24989])).
% 9.16/6.63 tff(24991,plain,
% 9.16/6.63 (~always3(s77)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9326, 24990])).
% 9.16/6.63 tff(24992,plain,
% 9.16/6.63 (~always3(s76)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9338, 24991])).
% 9.16/6.63 tff(24993,plain,
% 9.16/6.63 (~always3(s75)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9350, 24992])).
% 9.16/6.63 tff(24994,plain,
% 9.16/6.63 (~always3(s74)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9362, 24993])).
% 9.16/6.63 tff(24995,plain,
% 9.16/6.63 (~always3(s73)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9374, 24994])).
% 9.16/6.63 tff(24996,plain,
% 9.16/6.63 (~always3(s72)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9386, 24995])).
% 9.16/6.63 tff(24997,plain,
% 9.16/6.63 (~always3(s71)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9398, 24996])).
% 9.16/6.63 tff(24998,plain,
% 9.16/6.63 (~always3(s70)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9410, 24997])).
% 9.16/6.63 tff(24999,plain,
% 9.16/6.63 (~always3(s69)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9422, 24998])).
% 9.16/6.63 tff(25000,plain,
% 9.16/6.63 (~always3(s68)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9434, 24999])).
% 9.16/6.63 tff(25001,plain,
% 9.16/6.63 (~always3(s67)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9446, 25000])).
% 9.16/6.63 tff(25002,plain,
% 9.16/6.63 (~always3(s66)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9458, 25001])).
% 9.16/6.63 tff(25003,plain,
% 9.16/6.63 (~always3(s65)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9470, 25002])).
% 9.16/6.63 tff(25004,plain,
% 9.16/6.63 (~always3(s64)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9482, 25003])).
% 9.16/6.63 tff(25005,plain,
% 9.16/6.63 (~always3(s63)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9494, 25004])).
% 9.16/6.63 tff(25006,plain,
% 9.16/6.63 (~always3(s62)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9506, 25005])).
% 9.16/6.63 tff(25007,plain,
% 9.16/6.63 (~always3(s61)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9518, 25006])).
% 9.16/6.63 tff(25008,plain,
% 9.16/6.63 (~always3(s60)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9530, 25007])).
% 9.16/6.63 tff(25009,plain,
% 9.16/6.63 (~always3(s59)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9542, 25008])).
% 9.16/6.63 tff(25010,plain,
% 9.16/6.63 (~always3(s58)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[9558, 25009])).
% 9.16/6.63 tff(25011,plain,
% 9.16/6.63 (~always3(s57)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[5004, 25010])).
% 9.16/6.63 tff(25012,plain,
% 9.16/6.63 (~always3(s56)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4870, 25011])).
% 9.16/6.63 tff(25013,plain,
% 9.16/6.63 (~always3(s55)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4750, 25012])).
% 9.16/6.63 tff(25014,plain,
% 9.16/6.63 (~always3(s54)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4602, 25013])).
% 9.16/6.63 tff(25015,plain,
% 9.16/6.63 (~always3(s53)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4647, 25014])).
% 9.16/6.63 tff(25016,plain,
% 9.16/6.63 (~always3(s52)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4521, 25015])).
% 9.16/6.63 tff(25017,plain,
% 9.16/6.63 (~always3(s51)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4412, 25016])).
% 9.16/6.63 tff(25018,plain,
% 9.16/6.63 (~always3(s50)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4363, 25017])).
% 9.16/6.63 tff(25019,plain,
% 9.16/6.63 (~always3(s49)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3944, 25018])).
% 9.16/6.63 tff(25020,plain,
% 9.16/6.63 (~always3(s48)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3754, 25019])).
% 9.16/6.63 tff(25021,plain,
% 9.16/6.63 (~always3(s47)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3799, 25020])).
% 9.16/6.63 tff(25022,plain,
% 9.16/6.63 (~always3(s46)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3828, 25021])).
% 9.16/6.63 tff(25023,plain,
% 9.16/6.63 (~always3(s45)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3857, 25022])).
% 9.16/6.63 tff(25024,plain,
% 9.16/6.63 (~always3(s44)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3886, 25023])).
% 9.16/6.63 tff(25025,plain,
% 9.16/6.63 (~always3(s43)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3705, 25024])).
% 9.16/6.63 tff(25026,plain,
% 9.16/6.63 (~always3(s42)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3618, 25025])).
% 9.16/6.63 tff(25027,plain,
% 9.16/6.63 (~always3(s41)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3559, 25026])).
% 9.16/6.63 tff(25028,plain,
% 9.16/6.63 (~always3(s40)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3474, 25027])).
% 9.16/6.63 tff(25029,plain,
% 9.16/6.63 (~always3(s39)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3424, 25028])).
% 9.16/6.63 tff(25030,plain,
% 9.16/6.63 (~node4(s39)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3428, 22, 25029])).
% 9.16/6.63 tff(25031,plain,
% 9.16/6.63 (~always3(s38)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3233, 25029])).
% 9.16/6.63 tff(25032,plain,
% 9.16/6.63 (~node4(s38)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3219, 22, 25031])).
% 9.16/6.63 tff(25033,plain,
% 9.16/6.63 (~always3(s37)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[2932, 25031])).
% 9.16/6.63 tff(25034,plain,
% 9.16/6.63 (xuntil6(s37)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3202, 25033])).
% 9.16/6.63 tff(25035,plain,
% 9.16/6.63 (until5(s38)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3207, 25034])).
% 9.16/6.63 tff(25036,plain,
% 9.16/6.63 (xuntil6(s38) | node4(s38)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3214, 36, 25035])).
% 9.16/6.63 tff(25037,plain,
% 9.16/6.63 (xuntil6(s38)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[25036, 25032])).
% 9.16/6.63 tff(25038,plain,
% 9.16/6.63 (until5(s39)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3410, 25037])).
% 9.16/6.63 tff(25039,plain,
% 9.16/6.63 (xuntil6(s39)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3460, 36, 25038, 25030])).
% 9.16/6.63 tff(25040,plain,
% 9.16/6.63 (until5(s40)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3445, 25039])).
% 9.16/6.63 tff(25041,plain,
% 9.16/6.63 (~node4(s40)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3432, 22, 25028])).
% 9.16/6.63 tff(25042,plain,
% 9.16/6.63 (xuntil6(s40) | (~until5(s40))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3439, 36, 25041])).
% 9.16/6.63 tff(25043,plain,
% 9.16/6.63 (xuntil6(s40)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[25042, 25040])).
% 9.16/6.63 tff(25044,plain,
% 9.16/6.63 (until5(s41)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3545, 25043])).
% 9.16/6.63 tff(25045,plain,
% 9.16/6.63 (~node4(s41)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3563, 22, 25027])).
% 9.16/6.63 tff(25046,plain,
% 9.16/6.63 (xuntil6(s41) | (~until5(s41))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3587, 36, 25045])).
% 9.16/6.63 tff(25047,plain,
% 9.16/6.63 (xuntil6(s41)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[25046, 25044])).
% 9.16/6.63 tff(25048,plain,
% 9.16/6.63 (until5(s42)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3580, 25047])).
% 9.16/6.63 tff(25049,plain,
% 9.16/6.63 (~node4(s42)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3567, 22, 25026])).
% 9.16/6.63 tff(25050,plain,
% 9.16/6.63 (xuntil6(s42) | (~until5(s42))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3574, 36, 25049])).
% 9.16/6.63 tff(25051,plain,
% 9.16/6.63 (xuntil6(s42)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[25050, 25048])).
% 9.16/6.63 tff(25052,plain,
% 9.16/6.63 (until5(s43)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3684, 25051])).
% 9.16/6.63 tff(25053,plain,
% 9.16/6.63 (~node4(s43)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3693, 22, 25025])).
% 9.16/6.63 tff(25054,plain,
% 9.16/6.63 (xuntil6(s43) | (~until5(s43))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3734, 36, 25053])).
% 9.16/6.63 tff(25055,plain,
% 9.16/6.63 (xuntil6(s43)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[25054, 25052])).
% 9.16/6.63 tff(25056,plain,
% 9.16/6.63 (until5(s44)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3740, 25055])).
% 9.16/6.63 tff(25057,plain,
% 9.16/6.63 (~node4(s44)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3890, 22, 25024])).
% 9.16/6.63 tff(25058,plain,
% 9.16/6.63 (xuntil6(s44) | (~until5(s44))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3897, 36, 25057])).
% 9.16/6.63 tff(25059,plain,
% 9.16/6.63 (xuntil6(s44)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[25058, 25056])).
% 9.16/6.63 tff(25060,plain,
% 9.16/6.63 (until5(s45)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3877, 25059])).
% 9.16/6.63 tff(25061,plain,
% 9.16/6.63 (~node4(s45)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3861, 22, 25023])).
% 9.16/6.63 tff(25062,plain,
% 9.16/6.63 (xuntil6(s45) | (~until5(s45))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3868, 36, 25061])).
% 9.16/6.63 tff(25063,plain,
% 9.16/6.63 (xuntil6(s45)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[25062, 25060])).
% 9.16/6.63 tff(25064,plain,
% 9.16/6.63 (until5(s46)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3848, 25063])).
% 9.16/6.63 tff(25065,plain,
% 9.16/6.63 (~node4(s46)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3832, 22, 25022])).
% 9.16/6.63 tff(25066,plain,
% 9.16/6.63 (xuntil6(s46) | (~until5(s46))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3839, 36, 25065])).
% 9.16/6.63 tff(25067,plain,
% 9.16/6.63 (xuntil6(s46)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[25066, 25064])).
% 9.16/6.63 tff(25068,plain,
% 9.16/6.63 (until5(s47)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3819, 25067])).
% 9.16/6.63 tff(25069,plain,
% 9.16/6.63 (~node4(s47)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3803, 22, 25021])).
% 9.16/6.63 tff(25070,plain,
% 9.16/6.63 (xuntil6(s47) | (~until5(s47))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3810, 36, 25069])).
% 9.16/6.63 tff(25071,plain,
% 9.16/6.63 (xuntil6(s47)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[25070, 25068])).
% 9.16/6.63 tff(25072,plain,
% 9.16/6.63 (until5(s48)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3790, 25071])).
% 9.16/6.63 tff(25073,plain,
% 9.16/6.63 (~node4(s48)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3758, 22, 25020])).
% 9.16/6.63 tff(25074,plain,
% 9.16/6.63 (xuntil6(s48) | (~until5(s48))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3782, 36, 25073])).
% 9.16/6.63 tff(25075,plain,
% 9.16/6.63 (xuntil6(s48)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[25074, 25072])).
% 9.16/6.63 tff(25076,plain,
% 9.16/6.63 (until5(s49)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3775, 25075])).
% 9.16/6.63 tff(25077,plain,
% 9.16/6.63 (~node4(s49)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3762, 22, 25019])).
% 9.16/6.63 tff(25078,plain,
% 9.16/6.63 (xuntil6(s49) | (~until5(s49))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[3769, 36, 25077])).
% 9.16/6.63 tff(25079,plain,
% 9.16/6.63 (xuntil6(s49)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[25078, 25076])).
% 9.16/6.63 tff(25080,plain,
% 9.16/6.63 (until5(s50)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4342, 25079])).
% 9.16/6.63 tff(25081,plain,
% 9.16/6.63 (~node4(s50)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4351, 22, 25018])).
% 9.16/6.63 tff(25082,plain,
% 9.16/6.63 (xuntil6(s50) | (~until5(s50))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4392, 36, 25081])).
% 9.16/6.63 tff(25083,plain,
% 9.16/6.63 (xuntil6(s50)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[25082, 25080])).
% 9.16/6.63 tff(25084,plain,
% 9.16/6.63 (until5(s51)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4398, 25083])).
% 9.16/6.63 tff(25085,plain,
% 9.16/6.63 (~node4(s51)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4416, 22, 25017])).
% 9.16/6.63 tff(25086,plain,
% 9.16/6.63 (xuntil6(s51) | (~until5(s51))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4440, 36, 25085])).
% 9.16/6.63 tff(25087,plain,
% 9.16/6.63 (xuntil6(s51)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[25086, 25084])).
% 9.16/6.63 tff(25088,plain,
% 9.16/6.63 (until5(s52)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4433, 25087])).
% 9.16/6.63 tff(25089,plain,
% 9.16/6.63 (~node4(s52)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4420, 22, 25016])).
% 9.16/6.63 tff(25090,plain,
% 9.16/6.63 (xuntil6(s52) | (~until5(s52))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4427, 36, 25089])).
% 9.16/6.63 tff(25091,plain,
% 9.16/6.63 (xuntil6(s52)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[25090, 25088])).
% 9.16/6.63 tff(25092,plain,
% 9.16/6.63 (until5(s53)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4587, 25091])).
% 9.16/6.63 tff(25093,plain,
% 9.16/6.63 (~node4(s53)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4651, 22, 25015])).
% 9.16/6.63 tff(25094,plain,
% 9.16/6.63 (xuntil6(s53) | (~until5(s53))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4658, 36, 25093])).
% 9.16/6.63 tff(25095,plain,
% 9.16/6.63 (xuntil6(s53)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[25094, 25092])).
% 9.16/6.63 tff(25096,plain,
% 9.16/6.63 (until5(s54)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4638, 25095])).
% 9.16/6.63 tff(25097,plain,
% 9.16/6.63 (~node4(s54)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4606, 22, 25014])).
% 9.16/6.63 tff(25098,plain,
% 9.16/6.63 (xuntil6(s54) | (~until5(s54))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4630, 36, 25097])).
% 9.16/6.63 tff(25099,plain,
% 9.16/6.63 (xuntil6(s54)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[25098, 25096])).
% 9.16/6.63 tff(25100,plain,
% 9.16/6.63 (until5(s55)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4623, 25099])).
% 9.16/6.63 tff(25101,plain,
% 9.16/6.63 (~node4(s55)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4610, 22, 25013])).
% 9.16/6.63 tff(25102,plain,
% 9.16/6.63 (xuntil6(s55) | (~until5(s55))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4617, 36, 25101])).
% 9.16/6.63 tff(25103,plain,
% 9.16/6.63 (xuntil6(s55)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[25102, 25100])).
% 9.16/6.63 tff(25104,plain,
% 9.16/6.63 (until5(s56)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4856, 25103])).
% 9.16/6.63 tff(25105,plain,
% 9.16/6.63 (~node4(s56)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4874, 22, 25012])).
% 9.16/6.63 tff(25106,plain,
% 9.16/6.63 (xuntil6(s56) | (~until5(s56))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4898, 36, 25105])).
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% 9.16/6.63 inference(unit_resolution,[status(thm)],[25106, 25104])).
% 9.16/6.63 tff(25108,plain,
% 9.16/6.63 (until5(s57)),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4891, 25107])).
% 9.16/6.63 tff(25109,plain,
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% 9.16/6.63 inference(unit_resolution,[status(thm)],[4878, 22, 25011])).
% 9.16/6.63 tff(25110,plain,
% 9.16/6.63 (xuntil6(s57) | (~until5(s57))),
% 9.16/6.63 inference(unit_resolution,[status(thm)],[4885, 36, 25109])).
% 9.16/6.63 tff(25111,plain,
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% 9.16/6.63 inference(unit_resolution,[status(thm)],[25110, 25108])).
% 9.16/6.63 tff(25112,plain,
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% 9.16/6.64 tff(25113,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[9562, 22, 25010])).
% 9.16/6.64 tff(25114,plain,
% 9.16/6.64 (xuntil6(s58) | (~until5(s58))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[9569, 36, 25113])).
% 9.16/6.64 tff(25115,plain,
% 9.16/6.64 (xuntil6(s58)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25114, 25112])).
% 9.16/6.64 tff(25116,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[9575, 25115])).
% 9.16/6.64 tff(25117,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[9546, 22, 25009])).
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% 9.16/6.64 (xuntil6(s59) | (~until5(s59))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[9582, 36, 25117])).
% 9.16/6.64 tff(25119,plain,
% 9.16/6.64 (xuntil6(s59)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25118, 25116])).
% 9.16/6.64 tff(25120,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[9587, 25119])).
% 9.16/6.64 tff(25121,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[9591, 22, 25008])).
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% 9.16/6.64 (xuntil6(s60) | (~until5(s60))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[9598, 36, 25121])).
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[25122, 25120])).
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[9604, 25123])).
% 9.16/6.64 tff(25125,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[9608, 22, 25007])).
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% 9.16/6.64 (xuntil6(s61) | (~until5(s61))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[9615, 36, 25125])).
% 9.16/6.64 tff(25127,plain,
% 9.16/6.64 (xuntil6(s61)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25126, 25124])).
% 9.16/6.64 tff(25128,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[9621, 25127])).
% 9.16/6.64 tff(25129,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[9625, 22, 25006])).
% 9.16/6.64 tff(25130,plain,
% 9.16/6.64 (xuntil6(s62) | (~until5(s62))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[9632, 36, 25129])).
% 9.16/6.64 tff(25131,plain,
% 9.16/6.64 (xuntil6(s62)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25130, 25128])).
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[9638, 25131])).
% 9.16/6.64 tff(25133,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[9642, 22, 25005])).
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[9649, 36, 25133])).
% 9.16/6.64 tff(25135,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[25134, 25132])).
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[9655, 25135])).
% 9.16/6.64 tff(25137,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[9659, 22, 25004])).
% 9.16/6.64 tff(25138,plain,
% 9.16/6.64 (xuntil6(s64) | (~until5(s64))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[9666, 36, 25137])).
% 9.16/6.64 tff(25139,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[25138, 25136])).
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[9676, 22, 25003])).
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[9683, 36, 25141])).
% 9.16/6.64 tff(25143,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[25142, 25140])).
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% 9.16/6.64 tff(25145,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[9700, 36, 25145])).
% 9.16/6.64 tff(25147,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[25146, 25144])).
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[9706, 25147])).
% 9.16/6.64 tff(25149,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[9710, 22, 25001])).
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% 9.16/6.64 tff(25151,plain,
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% 9.16/6.64 tff(25155,plain,
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% 9.16/6.64 tff(25159,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[25158, 25156])).
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% 9.16/6.64 tff(25161,plain,
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% 9.16/6.64 tff(25163,plain,
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% 9.16/6.64 tff(25167,plain,
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% 9.16/6.64 tff(25181,plain,
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% 9.16/6.64 tff(25187,plain,
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% 9.16/6.64 tff(25188,plain,
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% 9.16/6.64 tff(25189,plain,
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% 9.16/6.64 tff(25195,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[25194, 25192])).
% 9.16/6.64 tff(25196,plain,
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% 9.16/6.64 tff(25197,plain,
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% 9.16/6.64 tff(25198,plain,
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% 9.16/6.64 tff(25199,plain,
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% 9.16/6.64 tff(25201,plain,
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% 9.16/6.64 tff(25203,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[25202, 25200])).
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% 9.16/6.64 tff(25205,plain,
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% 9.16/6.64 tff(25206,plain,
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% 9.16/6.64 tff(25209,plain,
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% 9.16/6.64 tff(25221,plain,
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% 9.16/6.64 tff(25225,plain,
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% 9.16/6.64 tff(25227,plain,
% 9.16/6.64 (xuntil6(s86)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25226, 25224])).
% 9.16/6.64 tff(25228,plain,
% 9.16/6.64 (until5(s87)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10046, 25227])).
% 9.16/6.64 tff(25229,plain,
% 9.16/6.64 (~node4(s87)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10050, 22, 24981])).
% 9.16/6.64 tff(25230,plain,
% 9.16/6.64 (xuntil6(s87) | (~until5(s87))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10057, 36, 25229])).
% 9.16/6.64 tff(25231,plain,
% 9.16/6.64 (xuntil6(s87)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25230, 25228])).
% 9.16/6.64 tff(25232,plain,
% 9.16/6.64 (until5(s88)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10063, 25231])).
% 9.16/6.64 tff(25233,plain,
% 9.16/6.64 (~node4(s88)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10067, 22, 24980])).
% 9.16/6.64 tff(25234,plain,
% 9.16/6.64 (xuntil6(s88) | (~until5(s88))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10074, 36, 25233])).
% 9.16/6.64 tff(25235,plain,
% 9.16/6.64 (xuntil6(s88)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25234, 25232])).
% 9.16/6.64 tff(25236,plain,
% 9.16/6.64 (until5(s89)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10080, 25235])).
% 9.16/6.64 tff(25237,plain,
% 9.16/6.64 (~node4(s89)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10084, 22, 24979])).
% 9.16/6.64 tff(25238,plain,
% 9.16/6.64 (xuntil6(s89) | (~until5(s89))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10091, 36, 25237])).
% 9.16/6.64 tff(25239,plain,
% 9.16/6.64 (xuntil6(s89)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25238, 25236])).
% 9.16/6.64 tff(25240,plain,
% 9.16/6.64 (until5(s90)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10097, 25239])).
% 9.16/6.64 tff(25241,plain,
% 9.16/6.64 (~node4(s90)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10101, 22, 24978])).
% 9.16/6.64 tff(25242,plain,
% 9.16/6.64 (xuntil6(s90) | (~until5(s90))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10108, 36, 25241])).
% 9.16/6.64 tff(25243,plain,
% 9.16/6.64 (xuntil6(s90)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25242, 25240])).
% 9.16/6.64 tff(25244,plain,
% 9.16/6.64 (until5(s91)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10114, 25243])).
% 9.16/6.64 tff(25245,plain,
% 9.16/6.64 (~node4(s91)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10118, 22, 24977])).
% 9.16/6.64 tff(25246,plain,
% 9.16/6.64 (xuntil6(s91) | (~until5(s91))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10125, 36, 25245])).
% 9.16/6.64 tff(25247,plain,
% 9.16/6.64 (xuntil6(s91)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25246, 25244])).
% 9.16/6.64 tff(25248,plain,
% 9.16/6.64 (until5(s92)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10131, 25247])).
% 9.16/6.64 tff(25249,plain,
% 9.16/6.64 (~node4(s92)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10135, 22, 24976])).
% 9.16/6.64 tff(25250,plain,
% 9.16/6.64 (xuntil6(s92) | (~until5(s92))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10142, 36, 25249])).
% 9.16/6.64 tff(25251,plain,
% 9.16/6.64 (xuntil6(s92)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25250, 25248])).
% 9.16/6.64 tff(25252,plain,
% 9.16/6.64 (until5(s93)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10148, 25251])).
% 9.16/6.64 tff(25253,plain,
% 9.16/6.64 (~node4(s93)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10152, 22, 24975])).
% 9.16/6.64 tff(25254,plain,
% 9.16/6.64 (xuntil6(s93) | (~until5(s93))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10159, 36, 25253])).
% 9.16/6.64 tff(25255,plain,
% 9.16/6.64 (xuntil6(s93)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25254, 25252])).
% 9.16/6.64 tff(25256,plain,
% 9.16/6.64 (until5(s94)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10165, 25255])).
% 9.16/6.64 tff(25257,plain,
% 9.16/6.64 (~node4(s94)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10169, 22, 24974])).
% 9.16/6.64 tff(25258,plain,
% 9.16/6.64 (xuntil6(s94) | (~until5(s94))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10176, 36, 25257])).
% 9.16/6.64 tff(25259,plain,
% 9.16/6.64 (xuntil6(s94)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25258, 25256])).
% 9.16/6.64 tff(25260,plain,
% 9.16/6.64 ($false),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10182, 25259, 24973])).
% 9.16/6.64 tff(25261,plain,(always3(s151) | xuntil6(s151)), inference(lemma,lemma(discharge,[]))).
% 9.16/6.64 tff(25262,plain,
% 9.16/6.64 (always3(s151)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25261, 24690])).
% 9.16/6.64 tff(25263,plain,
% 9.16/6.64 (always3(s152)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8188, 25262])).
% 9.16/6.64 tff(25264,plain,
% 9.16/6.64 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s152)) | (~m_main_v_state(s152, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s152)) | (~m_main_v_state(s152, c_busy)))),
% 9.16/6.64 inference(rewrite,[status(thm)],[])).
% 9.16/6.64 tff(25265,plain,
% 9.16/6.64 (((~m_main_v_state(s152, c_busy)) | (~always3(s152))) <=> ((~always3(s152)) | (~m_main_v_state(s152, c_busy)))),
% 9.16/6.64 inference(rewrite,[status(thm)],[])).
% 9.16/6.64 tff(25266,plain,
% 9.16/6.64 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s152, c_busy)) | (~always3(s152)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s152)) | (~m_main_v_state(s152, c_busy))))),
% 9.16/6.64 inference(monotonicity,[status(thm)],[25265])).
% 9.16/6.64 tff(25267,plain,
% 9.16/6.64 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s152, c_busy)) | (~always3(s152)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s152)) | (~m_main_v_state(s152, c_busy)))),
% 9.16/6.64 inference(transitivity,[status(thm)],[25266, 25264])).
% 9.16/6.64 tff(25268,plain,
% 9.16/6.64 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s152, c_busy)) | (~always3(s152)))),
% 9.16/6.64 inference(quant_inst,[status(thm)],[])).
% 9.16/6.64 tff(25269,plain,
% 9.16/6.64 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s152)) | (~m_main_v_state(s152, c_busy))),
% 9.16/6.64 inference(modus_ponens,[status(thm)],[25268, 25267])).
% 9.16/6.64 tff(25270,plain,
% 9.16/6.64 (~m_main_v_state(s152, c_busy)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25269, 170, 25263])).
% 9.16/6.64 tff(25271,plain,
% 9.16/6.64 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s151)) | (~m_main_v_state(s151, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s151)) | (~m_main_v_state(s151, c_busy)))),
% 9.16/6.64 inference(rewrite,[status(thm)],[])).
% 9.16/6.64 tff(25272,plain,
% 9.16/6.64 (((~m_main_v_state(s151, c_busy)) | (~always3(s151))) <=> ((~always3(s151)) | (~m_main_v_state(s151, c_busy)))),
% 9.16/6.64 inference(rewrite,[status(thm)],[])).
% 9.16/6.64 tff(25273,plain,
% 9.16/6.64 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s151, c_busy)) | (~always3(s151)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s151)) | (~m_main_v_state(s151, c_busy))))),
% 9.16/6.64 inference(monotonicity,[status(thm)],[25272])).
% 9.16/6.64 tff(25274,plain,
% 9.16/6.64 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s151, c_busy)) | (~always3(s151)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s151)) | (~m_main_v_state(s151, c_busy)))),
% 9.16/6.64 inference(transitivity,[status(thm)],[25273, 25271])).
% 9.16/6.64 tff(25275,plain,
% 9.16/6.64 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s151, c_busy)) | (~always3(s151)))),
% 9.16/6.64 inference(quant_inst,[status(thm)],[])).
% 9.16/6.64 tff(25276,plain,
% 9.16/6.64 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s151)) | (~m_main_v_state(s151, c_busy))),
% 9.16/6.64 inference(modus_ponens,[status(thm)],[25275, 25274])).
% 9.16/6.64 tff(25277,plain,
% 9.16/6.64 (~m_main_v_state(s151, c_busy)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25276, 170, 25262])).
% 9.16/6.64 tff(25278,plain,
% 9.16/6.64 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s151, c_busy) | m_main_v_state(s151, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s151, c_busy) | m_main_v_state(s151, c_ready))),
% 9.16/6.64 inference(rewrite,[status(thm)],[])).
% 9.16/6.64 tff(25279,plain,
% 9.16/6.64 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s151, c_busy) | m_main_v_state(s151, c_ready))),
% 9.16/6.64 inference(quant_inst,[status(thm)],[])).
% 9.16/6.64 tff(25280,plain,
% 9.16/6.64 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s151, c_busy) | m_main_v_state(s151, c_ready)),
% 9.16/6.64 inference(modus_ponens,[status(thm)],[25279, 25278])).
% 9.16/6.64 tff(25281,plain,
% 9.16/6.64 (m_main_v_state(s151, c_ready)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25280, 213, 25277])).
% 9.16/6.64 tff(25282,assumption,(until5(s149)), introduced(assumption)).
% 9.16/6.64 tff(25283,assumption,(~xuntil6(s150)), introduced(assumption)).
% 9.16/6.64 tff(25284,assumption,(~always3(s150)), introduced(assumption)).
% 9.16/6.64 tff(25285,plain,
% 9.16/6.64 (~always3(s149)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8246, 25284])).
% 9.16/6.64 tff(25286,plain,
% 9.16/6.64 (~node4(s149)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8250, 22, 25285])).
% 9.16/6.64 tff(25287,plain,
% 9.16/6.64 (xuntil6(s149) | node4(s149)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8257, 36, 25282])).
% 9.16/6.64 tff(25288,plain,
% 9.16/6.64 (xuntil6(s149)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25287, 25286])).
% 9.16/6.64 tff(25289,plain,
% 9.16/6.64 (until5(s150)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8237, 25288])).
% 9.16/6.64 tff(25290,plain,
% 9.16/6.64 (node4(s150) | (~until5(s150))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8228, 36, 25283])).
% 9.16/6.64 tff(25291,plain,
% 9.16/6.64 (node4(s150)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25290, 25289])).
% 9.16/6.64 tff(25292,plain,
% 9.16/6.64 ($false),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8221, 22, 25284, 25291])).
% 9.16/6.64 tff(25293,plain,(always3(s150) | xuntil6(s150) | (~until5(s149))), inference(lemma,lemma(discharge,[]))).
% 9.16/6.64 tff(25294,plain,
% 9.16/6.64 (always3(s150)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25293, 25282, 25283])).
% 9.16/6.64 tff(25295,plain,
% 9.16/6.64 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s150)) | (~m_main_v_state(s150, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s150)) | (~m_main_v_state(s150, c_busy)))),
% 9.16/6.64 inference(rewrite,[status(thm)],[])).
% 9.16/6.64 tff(25296,plain,
% 9.16/6.64 (((~m_main_v_state(s150, c_busy)) | (~always3(s150))) <=> ((~always3(s150)) | (~m_main_v_state(s150, c_busy)))),
% 9.16/6.64 inference(rewrite,[status(thm)],[])).
% 9.16/6.64 tff(25297,plain,
% 9.16/6.64 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s150, c_busy)) | (~always3(s150)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s150)) | (~m_main_v_state(s150, c_busy))))),
% 9.16/6.64 inference(monotonicity,[status(thm)],[25296])).
% 9.16/6.64 tff(25298,plain,
% 9.16/6.64 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s150, c_busy)) | (~always3(s150)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s150)) | (~m_main_v_state(s150, c_busy)))),
% 9.16/6.64 inference(transitivity,[status(thm)],[25297, 25295])).
% 9.16/6.64 tff(25299,plain,
% 9.16/6.64 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s150, c_busy)) | (~always3(s150)))),
% 9.16/6.64 inference(quant_inst,[status(thm)],[])).
% 9.16/6.64 tff(25300,plain,
% 9.16/6.64 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s150)) | (~m_main_v_state(s150, c_busy))),
% 9.16/6.64 inference(modus_ponens,[status(thm)],[25299, 25298])).
% 9.16/6.64 tff(25301,plain,
% 9.16/6.64 (~m_main_v_state(s150, c_busy)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25300, 170, 25294])).
% 9.16/6.64 tff(25302,assumption,(~m_main_v_state(s151, c_busy)), introduced(assumption)).
% 9.16/6.64 tff(25303,plain,
% 9.16/6.64 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s150, c_busy) | m_main_v_state(s150, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s150, c_busy) | m_main_v_state(s150, c_ready))),
% 9.16/6.64 inference(rewrite,[status(thm)],[])).
% 9.16/6.64 tff(25304,plain,
% 9.16/6.64 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s150, c_busy) | m_main_v_state(s150, c_ready))),
% 9.16/6.64 inference(quant_inst,[status(thm)],[])).
% 9.16/6.64 tff(25305,plain,
% 9.16/6.64 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s150, c_busy) | m_main_v_state(s150, c_ready)),
% 9.16/6.64 inference(modus_ponens,[status(thm)],[25304, 25303])).
% 9.16/6.64 tff(25306,plain,
% 9.16/6.64 (m_main_v_state(s150, c_ready)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25305, 213, 25301])).
% 9.16/6.64 tff(25307,plain,
% 9.16/6.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s150, s151)) | node2(s150, s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s150, s151)) | node2(s150, s151))),
% 9.16/6.64 inference(rewrite,[status(thm)],[])).
% 9.16/6.64 tff(25308,plain,
% 9.16/6.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s150, s151)) | node2(s150, s151))),
% 9.16/6.64 inference(quant_inst,[status(thm)],[])).
% 9.16/6.64 tff(25309,plain,
% 9.16/6.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s150, s151)) | node2(s150, s151)),
% 9.16/6.64 inference(modus_ponens,[status(thm)],[25308, 25307])).
% 9.16/6.64 tff(25310,plain,
% 9.16/6.64 (node2(s150, s151)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25309, 7, 8213])).
% 9.16/6.64 tff(25311,plain,
% 9.16/6.64 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s150, c_ready)) | (~node2(s150, s151)) | m_main_v_state(s151, c_busy) | (~m_main_v_request(s150)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s150, c_ready)) | (~node2(s150, s151)) | m_main_v_state(s151, c_busy) | (~m_main_v_request(s150)))),
% 9.16/6.64 inference(rewrite,[status(thm)],[])).
% 9.16/6.64 tff(25312,plain,
% 9.16/6.64 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s150, c_ready)) | (~node2(s150, s151)) | m_main_v_state(s151, c_busy) | (~m_main_v_request(s150)))),
% 9.16/6.64 inference(quant_inst,[status(thm)],[])).
% 9.16/6.64 tff(25313,plain,
% 9.16/6.64 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s150, c_ready)) | (~node2(s150, s151)) | m_main_v_state(s151, c_busy) | (~m_main_v_request(s150))),
% 9.16/6.64 inference(modus_ponens,[status(thm)],[25312, 25311])).
% 9.16/6.64 tff(25314,plain,
% 9.16/6.64 ((~m_main_v_state(s150, c_ready)) | m_main_v_state(s151, c_busy) | (~m_main_v_request(s150))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25313, 191, 25310])).
% 9.16/6.64 tff(25315,plain,
% 9.16/6.64 (~m_main_v_request(s150)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25314, 25306, 25302])).
% 9.16/6.64 tff(25316,plain,
% 9.16/6.64 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s150) | (~node4(s150)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s150) | (~node4(s150)))),
% 9.16/6.64 inference(rewrite,[status(thm)],[])).
% 9.16/6.64 tff(25317,plain,
% 9.16/6.64 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s150) | (~node4(s150)))),
% 9.16/6.64 inference(quant_inst,[status(thm)],[])).
% 9.16/6.64 tff(25318,plain,
% 9.16/6.64 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s150) | (~node4(s150))),
% 9.16/6.64 inference(modus_ponens,[status(thm)],[25317, 25316])).
% 9.16/6.64 tff(25319,plain,
% 9.16/6.64 (~node4(s150)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25318, 154, 25315])).
% 9.16/6.64 tff(25320,plain,
% 9.16/6.64 (~until5(s150)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25290, 25319])).
% 9.16/6.64 tff(25321,plain,
% 9.16/6.64 (~xuntil6(s149)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8237, 25320])).
% 9.16/6.64 tff(25322,plain,
% 9.16/6.64 (node4(s149)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25287, 25321])).
% 9.16/6.64 tff(25323,plain,
% 9.16/6.64 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s149) | (~node4(s149)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s149) | (~node4(s149)))),
% 9.16/6.64 inference(rewrite,[status(thm)],[])).
% 9.16/6.64 tff(25324,plain,
% 9.16/6.64 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s149) | (~node4(s149)))),
% 9.16/6.64 inference(quant_inst,[status(thm)],[])).
% 9.16/6.64 tff(25325,plain,
% 9.16/6.64 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s149) | (~node4(s149))),
% 9.16/6.64 inference(modus_ponens,[status(thm)],[25324, 25323])).
% 9.16/6.64 tff(25326,plain,
% 9.16/6.64 (m_main_v_request(s149)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25325, 154, 25322])).
% 9.16/6.64 tff(25327,plain,
% 9.16/6.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s149, s150)) | node2(s149, s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s149, s150)) | node2(s149, s150))),
% 9.16/6.64 inference(rewrite,[status(thm)],[])).
% 9.16/6.64 tff(25328,plain,
% 9.16/6.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s149, s150)) | node2(s149, s150))),
% 9.16/6.64 inference(quant_inst,[status(thm)],[])).
% 9.16/6.64 tff(25329,plain,
% 9.16/6.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s149, s150)) | node2(s149, s150)),
% 9.16/6.64 inference(modus_ponens,[status(thm)],[25328, 25327])).
% 9.16/6.64 tff(25330,plain,
% 9.16/6.64 (node2(s149, s150)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25329, 7, 8242])).
% 9.16/6.64 tff(25331,plain,
% 9.16/6.64 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s149, c_ready)) | (~node2(s149, s150)) | m_main_v_state(s150, c_busy) | (~m_main_v_request(s149)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s149, c_ready)) | (~node2(s149, s150)) | m_main_v_state(s150, c_busy) | (~m_main_v_request(s149)))),
% 9.16/6.64 inference(rewrite,[status(thm)],[])).
% 9.16/6.64 tff(25332,plain,
% 9.16/6.64 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s149, c_ready)) | (~node2(s149, s150)) | m_main_v_state(s150, c_busy) | (~m_main_v_request(s149)))),
% 9.16/6.64 inference(quant_inst,[status(thm)],[])).
% 9.16/6.64 tff(25333,plain,
% 9.16/6.64 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s149, c_ready)) | (~node2(s149, s150)) | m_main_v_state(s150, c_busy) | (~m_main_v_request(s149))),
% 9.16/6.64 inference(modus_ponens,[status(thm)],[25332, 25331])).
% 9.16/6.64 tff(25334,plain,
% 9.16/6.64 ((~m_main_v_state(s149, c_ready)) | m_main_v_state(s150, c_busy) | (~m_main_v_request(s149))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25333, 191, 25330])).
% 9.16/6.64 tff(25335,plain,
% 9.16/6.64 (~m_main_v_state(s149, c_ready)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25334, 25326, 25301])).
% 9.16/6.64 tff(25336,plain,
% 9.16/6.64 (always3(s149)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8250, 22, 25322])).
% 9.16/6.64 tff(25337,plain,
% 9.16/6.64 (~m_main_v_state(s149, c_busy)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[24633, 170, 25336])).
% 9.16/6.64 tff(25338,plain,
% 9.16/6.64 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s149, c_busy) | m_main_v_state(s149, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s149, c_busy) | m_main_v_state(s149, c_ready))),
% 9.16/6.64 inference(rewrite,[status(thm)],[])).
% 9.16/6.64 tff(25339,plain,
% 9.16/6.64 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s149, c_busy) | m_main_v_state(s149, c_ready))),
% 9.16/6.64 inference(quant_inst,[status(thm)],[])).
% 9.16/6.64 tff(25340,plain,
% 9.16/6.64 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s149, c_busy) | m_main_v_state(s149, c_ready)),
% 9.16/6.64 inference(modus_ponens,[status(thm)],[25339, 25338])).
% 9.16/6.64 tff(25341,plain,
% 9.16/6.64 ($false),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25340, 213, 25337, 25335])).
% 9.16/6.64 tff(25342,plain,((~until5(s149)) | xuntil6(s150) | m_main_v_state(s151, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.16/6.64 tff(25343,plain,
% 9.16/6.64 (xuntil6(s150)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25342, 25277, 25282])).
% 9.16/6.64 tff(25344,plain,
% 9.16/6.64 (until5(s151)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8208, 25343])).
% 9.16/6.64 tff(25345,plain,
% 9.16/6.64 (node4(s151)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[24695, 25344])).
% 9.16/6.64 tff(25346,plain,
% 9.16/6.64 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s151) | (~node4(s151)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s151) | (~node4(s151)))),
% 9.16/6.64 inference(rewrite,[status(thm)],[])).
% 9.16/6.64 tff(25347,plain,
% 9.16/6.64 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s151) | (~node4(s151)))),
% 9.16/6.64 inference(quant_inst,[status(thm)],[])).
% 9.16/6.64 tff(25348,plain,
% 9.16/6.64 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s151) | (~node4(s151))),
% 9.16/6.64 inference(modus_ponens,[status(thm)],[25347, 25346])).
% 9.16/6.64 tff(25349,plain,
% 9.16/6.64 (m_main_v_request(s151)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25348, 154, 25345])).
% 9.16/6.64 tff(25350,plain,
% 9.16/6.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s151, s152)) | node2(s151, s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s151, s152)) | node2(s151, s152))),
% 9.16/6.64 inference(rewrite,[status(thm)],[])).
% 9.16/6.64 tff(25351,plain,
% 9.16/6.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s151, s152)) | node2(s151, s152))),
% 9.16/6.64 inference(quant_inst,[status(thm)],[])).
% 9.16/6.64 tff(25352,plain,
% 9.16/6.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s151, s152)) | node2(s151, s152)),
% 9.16/6.64 inference(modus_ponens,[status(thm)],[25351, 25350])).
% 9.16/6.64 tff(25353,plain,
% 9.16/6.64 (node2(s151, s152)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25352, 7, 8184])).
% 9.16/6.64 tff(25354,plain,
% 9.16/6.64 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s151, c_ready)) | (~node2(s151, s152)) | m_main_v_state(s152, c_busy) | (~m_main_v_request(s151)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s151, c_ready)) | (~node2(s151, s152)) | m_main_v_state(s152, c_busy) | (~m_main_v_request(s151)))),
% 9.16/6.64 inference(rewrite,[status(thm)],[])).
% 9.16/6.64 tff(25355,plain,
% 9.16/6.64 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s151, c_ready)) | (~node2(s151, s152)) | m_main_v_state(s152, c_busy) | (~m_main_v_request(s151)))),
% 9.16/6.64 inference(quant_inst,[status(thm)],[])).
% 9.16/6.64 tff(25356,plain,
% 9.16/6.64 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s151, c_ready)) | (~node2(s151, s152)) | m_main_v_state(s152, c_busy) | (~m_main_v_request(s151))),
% 9.16/6.64 inference(modus_ponens,[status(thm)],[25355, 25354])).
% 9.16/6.64 tff(25357,plain,
% 9.16/6.64 ((~m_main_v_state(s151, c_ready)) | m_main_v_state(s152, c_busy) | (~m_main_v_request(s151))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25356, 191, 25353])).
% 9.16/6.64 tff(25358,plain,
% 9.16/6.64 ($false),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25357, 25349, 25281, 25270])).
% 9.16/6.64 tff(25359,plain,(xuntil6(s151) | (~until5(s149))), inference(lemma,lemma(discharge,[]))).
% 9.16/6.64 tff(25360,plain,
% 9.16/6.64 (xuntil6(s151)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25359, 24689])).
% 9.16/6.64 tff(25361,plain,
% 9.16/6.64 (until5(s152)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8179, 25360])).
% 9.16/6.64 tff(25362,assumption,(~xuntil6(s164)), introduced(assumption)).
% 9.16/6.64 tff(25363,assumption,(~always3(s164)), introduced(assumption)).
% 9.16/6.64 tff(25364,plain,
% 9.16/6.64 (~always3(s163)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7840, 25363])).
% 9.16/6.64 tff(25365,plain,
% 9.16/6.64 (~node4(s163)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7844, 22, 25364])).
% 9.16/6.64 tff(25366,plain,
% 9.16/6.64 (~node4(s164)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7815, 22, 25363])).
% 9.16/6.64 tff(25367,plain,
% 9.16/6.64 (node4(s164) | (~until5(s164))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7822, 36, 25362])).
% 9.16/6.64 tff(25368,plain,
% 9.16/6.64 (~until5(s164)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25367, 25366])).
% 9.16/6.64 tff(25369,plain,
% 9.16/6.64 (~xuntil6(s163)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7831, 25368])).
% 9.16/6.64 tff(25370,plain,
% 9.16/6.64 (~until5(s163)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7851, 36, 25369, 25365])).
% 9.16/6.64 tff(25371,plain,
% 9.16/6.64 (~xuntil6(s162)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7860, 25370])).
% 9.16/6.64 tff(25372,plain,
% 9.16/6.64 (~always3(s162)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7869, 25364])).
% 9.16/6.64 tff(25373,plain,
% 9.16/6.64 (~node4(s162)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7873, 22, 25372])).
% 9.16/6.64 tff(25374,plain,
% 9.16/6.64 (xuntil6(s162) | (~until5(s162))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7880, 36, 25373])).
% 9.16/6.64 tff(25375,plain,
% 9.16/6.64 (~until5(s162)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25374, 25371])).
% 9.16/6.64 tff(25376,plain,
% 9.16/6.64 (~xuntil6(s161)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7889, 25375])).
% 9.16/6.64 tff(25377,plain,
% 9.16/6.64 (~always3(s161)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7898, 25372])).
% 9.16/6.64 tff(25378,plain,
% 9.16/6.64 (~node4(s161)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7902, 22, 25377])).
% 9.16/6.64 tff(25379,plain,
% 9.16/6.64 (xuntil6(s161) | (~until5(s161))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7909, 36, 25378])).
% 9.16/6.64 tff(25380,plain,
% 9.16/6.64 (~until5(s161)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25379, 25376])).
% 9.16/6.64 tff(25381,plain,
% 9.16/6.64 (~xuntil6(s160)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7918, 25380])).
% 9.16/6.64 tff(25382,plain,
% 9.16/6.64 (~always3(s160)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7927, 25377])).
% 9.16/6.64 tff(25383,plain,
% 9.16/6.64 (~node4(s160)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7931, 22, 25382])).
% 9.16/6.64 tff(25384,plain,
% 9.16/6.64 (xuntil6(s160) | (~until5(s160))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7938, 36, 25383])).
% 9.16/6.64 tff(25385,plain,
% 9.16/6.64 (~until5(s160)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25384, 25381])).
% 9.16/6.64 tff(25386,plain,
% 9.16/6.64 (~xuntil6(s159)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7947, 25385])).
% 9.16/6.64 tff(25387,plain,
% 9.16/6.64 (~always3(s159)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7956, 25382])).
% 9.16/6.64 tff(25388,plain,
% 9.16/6.64 (~node4(s159)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7960, 22, 25387])).
% 9.16/6.64 tff(25389,plain,
% 9.16/6.64 (xuntil6(s159) | (~until5(s159))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7967, 36, 25388])).
% 9.16/6.64 tff(25390,plain,
% 9.16/6.64 (~until5(s159)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25389, 25386])).
% 9.16/6.64 tff(25391,plain,
% 9.16/6.64 (~xuntil6(s158)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7976, 25390])).
% 9.16/6.64 tff(25392,plain,
% 9.16/6.64 (~always3(s158)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7985, 25387])).
% 9.16/6.64 tff(25393,plain,
% 9.16/6.64 (~node4(s158)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7989, 22, 25392])).
% 9.16/6.64 tff(25394,plain,
% 9.16/6.64 (xuntil6(s158) | (~until5(s158))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[7996, 36, 25393])).
% 9.16/6.64 tff(25395,plain,
% 9.16/6.64 (~until5(s158)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25394, 25391])).
% 9.16/6.64 tff(25396,plain,
% 9.16/6.64 (~xuntil6(s157)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8005, 25395])).
% 9.16/6.64 tff(25397,plain,
% 9.16/6.64 (~always3(s157)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8014, 25392])).
% 9.16/6.64 tff(25398,plain,
% 9.16/6.64 (~node4(s157)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8018, 22, 25397])).
% 9.16/6.64 tff(25399,plain,
% 9.16/6.64 (xuntil6(s157) | (~until5(s157))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8025, 36, 25398])).
% 9.16/6.64 tff(25400,plain,
% 9.16/6.64 (~until5(s157)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25399, 25396])).
% 9.16/6.64 tff(25401,plain,
% 9.16/6.64 (~xuntil6(s156)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8034, 25400])).
% 9.16/6.64 tff(25402,plain,
% 9.16/6.64 (~always3(s156)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8043, 25397])).
% 9.16/6.64 tff(25403,plain,
% 9.16/6.64 (~node4(s156)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8047, 22, 25402])).
% 9.16/6.64 tff(25404,plain,
% 9.16/6.64 (xuntil6(s156) | (~until5(s156))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8054, 36, 25403])).
% 9.16/6.64 tff(25405,plain,
% 9.16/6.64 (~until5(s156)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25404, 25401])).
% 9.16/6.64 tff(25406,plain,
% 9.16/6.64 (~xuntil6(s155)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8063, 25405])).
% 9.16/6.64 tff(25407,plain,
% 9.16/6.64 (~always3(s155)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8072, 25402])).
% 9.16/6.64 tff(25408,plain,
% 9.16/6.64 (~node4(s155)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8076, 22, 25407])).
% 9.16/6.64 tff(25409,plain,
% 9.16/6.64 (xuntil6(s155) | (~until5(s155))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8083, 36, 25408])).
% 9.16/6.64 tff(25410,plain,
% 9.16/6.64 (~until5(s155)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25409, 25406])).
% 9.16/6.64 tff(25411,plain,
% 9.16/6.64 (~xuntil6(s154)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8092, 25410])).
% 9.16/6.64 tff(25412,plain,
% 9.16/6.64 (~always3(s154)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8101, 25407])).
% 9.16/6.64 tff(25413,plain,
% 9.16/6.64 (~node4(s154)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8105, 22, 25412])).
% 9.16/6.64 tff(25414,plain,
% 9.16/6.64 (xuntil6(s154) | (~until5(s154))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8112, 36, 25413])).
% 9.16/6.64 tff(25415,plain,
% 9.16/6.64 (~until5(s154)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25414, 25411])).
% 9.16/6.64 tff(25416,plain,
% 9.16/6.64 (~xuntil6(s153)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8121, 25415])).
% 9.16/6.64 tff(25417,plain,
% 9.16/6.64 (~always3(s153)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8130, 25412])).
% 9.16/6.64 tff(25418,plain,
% 9.16/6.64 (~node4(s153)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8134, 22, 25417])).
% 9.16/6.64 tff(25419,plain,
% 9.16/6.64 (xuntil6(s153) | (~until5(s153))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8141, 36, 25418])).
% 9.16/6.64 tff(25420,plain,
% 9.16/6.64 (~until5(s153)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25419, 25416])).
% 9.16/6.64 tff(25421,plain,
% 9.16/6.64 (~xuntil6(s152)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8150, 25420])).
% 9.16/6.64 tff(25422,plain,
% 9.16/6.64 (~always3(s152)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8159, 25417])).
% 9.16/6.64 tff(25423,plain,
% 9.16/6.64 (~node4(s152)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8163, 22, 25422])).
% 9.16/6.64 tff(25424,plain,
% 9.16/6.64 (xuntil6(s152) | (~until5(s152))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8170, 36, 25423])).
% 9.16/6.64 tff(25425,plain,
% 9.16/6.64 (~until5(s152)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25424, 25421])).
% 9.16/6.64 tff(25426,plain,
% 9.16/6.64 (~xuntil6(s151)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8179, 25425])).
% 9.16/6.64 tff(25427,plain,
% 9.16/6.64 (~always3(s151)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8188, 25422])).
% 9.16/6.64 tff(25428,plain,
% 9.16/6.64 (~node4(s151)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8192, 22, 25427])).
% 9.16/6.64 tff(25429,plain,
% 9.16/6.64 (xuntil6(s151) | (~until5(s151))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8199, 36, 25428])).
% 9.16/6.64 tff(25430,plain,
% 9.16/6.64 (~until5(s151)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25429, 25426])).
% 9.16/6.64 tff(25431,plain,
% 9.16/6.64 (~xuntil6(s150)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8208, 25430])).
% 9.16/6.64 tff(25432,plain,
% 9.16/6.64 (~always3(s150)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8217, 25427])).
% 9.16/6.64 tff(25433,plain,
% 9.16/6.64 (~node4(s150)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8221, 22, 25432])).
% 9.16/6.64 tff(25434,plain,
% 9.16/6.64 (xuntil6(s150) | (~until5(s150))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8228, 36, 25433])).
% 9.16/6.64 tff(25435,plain,
% 9.16/6.64 (~until5(s150)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25434, 25431])).
% 9.16/6.64 tff(25436,plain,
% 9.16/6.64 (~xuntil6(s149)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8237, 25435])).
% 9.16/6.64 tff(25437,plain,
% 9.16/6.64 (~always3(s149)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8246, 25432])).
% 9.16/6.64 tff(25438,plain,
% 9.16/6.64 (~node4(s149)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8250, 22, 25437])).
% 9.16/6.64 tff(25439,plain,
% 9.16/6.64 (xuntil6(s149) | (~until5(s149))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8257, 36, 25438])).
% 9.16/6.64 tff(25440,plain,
% 9.16/6.64 (~until5(s149)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25439, 25436])).
% 9.16/6.64 tff(25441,plain,
% 9.16/6.64 (~xuntil6(s148)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8266, 25440])).
% 9.16/6.64 tff(25442,plain,
% 9.16/6.64 (~always3(s148)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8275, 25437])).
% 9.16/6.64 tff(25443,plain,
% 9.16/6.64 (~node4(s148)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8279, 22, 25442])).
% 9.16/6.64 tff(25444,plain,
% 9.16/6.64 (xuntil6(s148) | (~until5(s148))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8286, 36, 25443])).
% 9.16/6.64 tff(25445,plain,
% 9.16/6.64 (~until5(s148)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25444, 25441])).
% 9.16/6.64 tff(25446,plain,
% 9.16/6.64 (~xuntil6(s147)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8295, 25445])).
% 9.16/6.64 tff(25447,plain,
% 9.16/6.64 (~always3(s147)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8304, 25442])).
% 9.16/6.64 tff(25448,plain,
% 9.16/6.64 (~node4(s147)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8308, 22, 25447])).
% 9.16/6.64 tff(25449,plain,
% 9.16/6.64 (xuntil6(s147) | (~until5(s147))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8315, 36, 25448])).
% 9.16/6.64 tff(25450,plain,
% 9.16/6.64 (~until5(s147)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25449, 25446])).
% 9.16/6.64 tff(25451,plain,
% 9.16/6.64 (~xuntil6(s146)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8324, 25450])).
% 9.16/6.64 tff(25452,plain,
% 9.16/6.64 (~always3(s146)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8333, 25447])).
% 9.16/6.64 tff(25453,plain,
% 9.16/6.64 (~node4(s146)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8337, 22, 25452])).
% 9.16/6.64 tff(25454,plain,
% 9.16/6.64 (xuntil6(s146) | (~until5(s146))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8344, 36, 25453])).
% 9.16/6.64 tff(25455,plain,
% 9.16/6.64 (~until5(s146)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25454, 25451])).
% 9.16/6.64 tff(25456,plain,
% 9.16/6.64 (~xuntil6(s145)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8353, 25455])).
% 9.16/6.64 tff(25457,plain,
% 9.16/6.64 (~always3(s145)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8362, 25452])).
% 9.16/6.64 tff(25458,plain,
% 9.16/6.64 (~node4(s145)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8366, 22, 25457])).
% 9.16/6.64 tff(25459,plain,
% 9.16/6.64 (xuntil6(s145) | (~until5(s145))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8373, 36, 25458])).
% 9.16/6.64 tff(25460,plain,
% 9.16/6.64 (~until5(s145)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25459, 25456])).
% 9.16/6.64 tff(25461,plain,
% 9.16/6.64 (~xuntil6(s144)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8382, 25460])).
% 9.16/6.64 tff(25462,plain,
% 9.16/6.64 (~always3(s144)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8391, 25457])).
% 9.16/6.64 tff(25463,plain,
% 9.16/6.64 (~node4(s144)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8395, 22, 25462])).
% 9.16/6.64 tff(25464,plain,
% 9.16/6.64 (xuntil6(s144) | (~until5(s144))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8402, 36, 25463])).
% 9.16/6.64 tff(25465,plain,
% 9.16/6.64 (~until5(s144)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25464, 25461])).
% 9.16/6.64 tff(25466,plain,
% 9.16/6.64 (~xuntil6(s143)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8411, 25465])).
% 9.16/6.64 tff(25467,plain,
% 9.16/6.64 (~always3(s143)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8420, 25462])).
% 9.16/6.64 tff(25468,plain,
% 9.16/6.64 (~node4(s143)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8424, 22, 25467])).
% 9.16/6.64 tff(25469,plain,
% 9.16/6.64 (xuntil6(s143) | (~until5(s143))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8431, 36, 25468])).
% 9.16/6.64 tff(25470,plain,
% 9.16/6.64 (~until5(s143)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25469, 25466])).
% 9.16/6.64 tff(25471,plain,
% 9.16/6.64 (~xuntil6(s142)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8440, 25470])).
% 9.16/6.64 tff(25472,plain,
% 9.16/6.64 (~always3(s142)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8449, 25467])).
% 9.16/6.64 tff(25473,plain,
% 9.16/6.64 (~node4(s142)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8453, 22, 25472])).
% 9.16/6.64 tff(25474,plain,
% 9.16/6.64 (xuntil6(s142) | (~until5(s142))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8460, 36, 25473])).
% 9.16/6.64 tff(25475,plain,
% 9.16/6.64 (~until5(s142)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25474, 25471])).
% 9.16/6.64 tff(25476,plain,
% 9.16/6.64 (~xuntil6(s141)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8469, 25475])).
% 9.16/6.64 tff(25477,plain,
% 9.16/6.64 (~always3(s141)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8478, 25472])).
% 9.16/6.64 tff(25478,plain,
% 9.16/6.64 (~node4(s141)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8482, 22, 25477])).
% 9.16/6.64 tff(25479,plain,
% 9.16/6.64 (xuntil6(s141) | (~until5(s141))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8489, 36, 25478])).
% 9.16/6.64 tff(25480,plain,
% 9.16/6.64 (~until5(s141)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25479, 25476])).
% 9.16/6.64 tff(25481,plain,
% 9.16/6.64 (~xuntil6(s140)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8498, 25480])).
% 9.16/6.64 tff(25482,plain,
% 9.16/6.64 (~always3(s140)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8507, 25477])).
% 9.16/6.64 tff(25483,plain,
% 9.16/6.64 (~node4(s140)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8511, 22, 25482])).
% 9.16/6.64 tff(25484,plain,
% 9.16/6.64 (xuntil6(s140) | (~until5(s140))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8518, 36, 25483])).
% 9.16/6.64 tff(25485,plain,
% 9.16/6.64 (~until5(s140)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25484, 25481])).
% 9.16/6.64 tff(25486,plain,
% 9.16/6.64 (~xuntil6(s139)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8527, 25485])).
% 9.16/6.64 tff(25487,plain,
% 9.16/6.64 (~always3(s139)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8536, 25482])).
% 9.16/6.64 tff(25488,plain,
% 9.16/6.64 (~node4(s139)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8540, 22, 25487])).
% 9.16/6.64 tff(25489,plain,
% 9.16/6.64 (xuntil6(s139) | (~until5(s139))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8547, 36, 25488])).
% 9.16/6.64 tff(25490,plain,
% 9.16/6.64 (~until5(s139)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25489, 25486])).
% 9.16/6.64 tff(25491,plain,
% 9.16/6.64 (~xuntil6(s138)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8556, 25490])).
% 9.16/6.64 tff(25492,plain,
% 9.16/6.64 (~always3(s138)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8565, 25487])).
% 9.16/6.64 tff(25493,plain,
% 9.16/6.64 (~node4(s138)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8569, 22, 25492])).
% 9.16/6.64 tff(25494,plain,
% 9.16/6.64 (xuntil6(s138) | (~until5(s138))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8576, 36, 25493])).
% 9.16/6.64 tff(25495,plain,
% 9.16/6.64 (~until5(s138)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25494, 25491])).
% 9.16/6.64 tff(25496,plain,
% 9.16/6.64 (~xuntil6(s137)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8585, 25495])).
% 9.16/6.64 tff(25497,plain,
% 9.16/6.64 (~always3(s137)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8594, 25492])).
% 9.16/6.64 tff(25498,plain,
% 9.16/6.64 (~node4(s137)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8598, 22, 25497])).
% 9.16/6.64 tff(25499,plain,
% 9.16/6.64 (xuntil6(s137) | (~until5(s137))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8605, 36, 25498])).
% 9.16/6.64 tff(25500,plain,
% 9.16/6.64 (~until5(s137)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25499, 25496])).
% 9.16/6.64 tff(25501,plain,
% 9.16/6.64 (~xuntil6(s136)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10896, 25500])).
% 9.16/6.64 tff(25502,plain,
% 9.16/6.64 (~always3(s136)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8618, 25497])).
% 9.16/6.64 tff(25503,plain,
% 9.16/6.64 (~node4(s136)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10883, 22, 25502])).
% 9.16/6.64 tff(25504,plain,
% 9.16/6.64 (xuntil6(s136) | (~until5(s136))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10890, 36, 25503])).
% 9.16/6.64 tff(25505,plain,
% 9.16/6.64 (~until5(s136)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25504, 25501])).
% 9.16/6.64 tff(25506,plain,
% 9.16/6.64 (~xuntil6(s135)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10879, 25505])).
% 9.16/6.64 tff(25507,plain,
% 9.16/6.64 (~always3(s135)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8630, 25502])).
% 9.16/6.64 tff(25508,plain,
% 9.16/6.64 (~node4(s135)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10866, 22, 25507])).
% 9.16/6.64 tff(25509,plain,
% 9.16/6.64 (xuntil6(s135) | (~until5(s135))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10873, 36, 25508])).
% 9.16/6.64 tff(25510,plain,
% 9.16/6.64 (~until5(s135)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25509, 25506])).
% 9.16/6.64 tff(25511,plain,
% 9.16/6.64 (~xuntil6(s134)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10862, 25510])).
% 9.16/6.64 tff(25512,plain,
% 9.16/6.64 (~always3(s134)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8642, 25507])).
% 9.16/6.64 tff(25513,plain,
% 9.16/6.64 (~node4(s134)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10849, 22, 25512])).
% 9.16/6.64 tff(25514,plain,
% 9.16/6.64 (xuntil6(s134) | (~until5(s134))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10856, 36, 25513])).
% 9.16/6.64 tff(25515,plain,
% 9.16/6.64 (~until5(s134)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25514, 25511])).
% 9.16/6.64 tff(25516,plain,
% 9.16/6.64 (~xuntil6(s133)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10845, 25515])).
% 9.16/6.64 tff(25517,plain,
% 9.16/6.64 (~always3(s133)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8654, 25512])).
% 9.16/6.64 tff(25518,plain,
% 9.16/6.64 (~node4(s133)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10832, 22, 25517])).
% 9.16/6.64 tff(25519,plain,
% 9.16/6.64 (xuntil6(s133) | (~until5(s133))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10839, 36, 25518])).
% 9.16/6.64 tff(25520,plain,
% 9.16/6.64 (~until5(s133)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25519, 25516])).
% 9.16/6.64 tff(25521,plain,
% 9.16/6.64 (~xuntil6(s132)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10828, 25520])).
% 9.16/6.64 tff(25522,plain,
% 9.16/6.64 (~always3(s132)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8666, 25517])).
% 9.16/6.64 tff(25523,plain,
% 9.16/6.64 (~node4(s132)),
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% 9.16/6.64 tff(25524,plain,
% 9.16/6.64 (xuntil6(s132) | (~until5(s132))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10822, 36, 25523])).
% 9.16/6.64 tff(25525,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[25524, 25521])).
% 9.16/6.64 tff(25526,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[10811, 25525])).
% 9.16/6.64 tff(25527,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[8678, 25522])).
% 9.16/6.64 tff(25528,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[10798, 22, 25527])).
% 9.16/6.64 tff(25529,plain,
% 9.16/6.64 (xuntil6(s131) | (~until5(s131))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10805, 36, 25528])).
% 9.16/6.64 tff(25530,plain,
% 9.16/6.64 (~until5(s131)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25529, 25526])).
% 9.16/6.64 tff(25531,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[10794, 25530])).
% 9.16/6.64 tff(25532,plain,
% 9.16/6.64 (~always3(s130)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8690, 25527])).
% 9.16/6.64 tff(25533,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[10781, 22, 25532])).
% 9.16/6.64 tff(25534,plain,
% 9.16/6.64 (xuntil6(s130) | (~until5(s130))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10788, 36, 25533])).
% 9.16/6.64 tff(25535,plain,
% 9.16/6.64 (~until5(s130)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25534, 25531])).
% 9.16/6.64 tff(25536,plain,
% 9.16/6.64 (~xuntil6(s129)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10777, 25535])).
% 9.16/6.64 tff(25537,plain,
% 9.16/6.64 (~always3(s129)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8702, 25532])).
% 9.16/6.64 tff(25538,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[10764, 22, 25537])).
% 9.16/6.64 tff(25539,plain,
% 9.16/6.64 (xuntil6(s129) | (~until5(s129))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10771, 36, 25538])).
% 9.16/6.64 tff(25540,plain,
% 9.16/6.64 (~until5(s129)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25539, 25536])).
% 9.16/6.64 tff(25541,plain,
% 9.16/6.64 (~xuntil6(s128)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10760, 25540])).
% 9.16/6.64 tff(25542,plain,
% 9.16/6.64 (~always3(s128)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8714, 25537])).
% 9.16/6.64 tff(25543,plain,
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% 9.16/6.64 inference(unit_resolution,[status(thm)],[10747, 22, 25542])).
% 9.16/6.64 tff(25544,plain,
% 9.16/6.64 (xuntil6(s128) | (~until5(s128))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10754, 36, 25543])).
% 9.16/6.64 tff(25545,plain,
% 9.16/6.64 (~until5(s128)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25544, 25541])).
% 9.16/6.64 tff(25546,plain,
% 9.16/6.64 (~xuntil6(s127)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10743, 25545])).
% 9.16/6.64 tff(25547,plain,
% 9.16/6.64 (~always3(s127)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8726, 25542])).
% 9.16/6.64 tff(25548,plain,
% 9.16/6.64 (~node4(s127)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10730, 22, 25547])).
% 9.16/6.64 tff(25549,plain,
% 9.16/6.64 (xuntil6(s127) | (~until5(s127))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10737, 36, 25548])).
% 9.16/6.64 tff(25550,plain,
% 9.16/6.64 (~until5(s127)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25549, 25546])).
% 9.16/6.64 tff(25551,plain,
% 9.16/6.64 (~xuntil6(s126)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10726, 25550])).
% 9.16/6.64 tff(25552,plain,
% 9.16/6.64 (~always3(s126)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8738, 25547])).
% 9.16/6.64 tff(25553,plain,
% 9.16/6.64 (~node4(s126)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10713, 22, 25552])).
% 9.16/6.64 tff(25554,plain,
% 9.16/6.64 (xuntil6(s126) | (~until5(s126))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10720, 36, 25553])).
% 9.16/6.64 tff(25555,plain,
% 9.16/6.64 (~until5(s126)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25554, 25551])).
% 9.16/6.64 tff(25556,plain,
% 9.16/6.64 (~xuntil6(s125)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10709, 25555])).
% 9.16/6.64 tff(25557,plain,
% 9.16/6.64 (~always3(s125)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[8750, 25552])).
% 9.16/6.64 tff(25558,plain,
% 9.16/6.64 (~node4(s125)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10696, 22, 25557])).
% 9.16/6.64 tff(25559,plain,
% 9.16/6.64 (xuntil6(s125) | (~until5(s125))),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[10703, 36, 25558])).
% 9.16/6.64 tff(25560,plain,
% 9.16/6.64 (~until5(s125)),
% 9.16/6.64 inference(unit_resolution,[status(thm)],[25559, 25556])).
% 9.16/6.65 tff(25561,plain,
% 9.16/6.65 (~xuntil6(s124)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10692, 25560])).
% 9.16/6.65 tff(25562,plain,
% 9.16/6.65 (~always3(s124)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8762, 25557])).
% 9.16/6.65 tff(25563,plain,
% 9.16/6.65 (~node4(s124)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10679, 22, 25562])).
% 9.16/6.65 tff(25564,plain,
% 9.16/6.65 (xuntil6(s124) | (~until5(s124))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10686, 36, 25563])).
% 9.16/6.65 tff(25565,plain,
% 9.16/6.65 (~until5(s124)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25564, 25561])).
% 9.16/6.65 tff(25566,plain,
% 9.16/6.65 (~xuntil6(s123)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10675, 25565])).
% 9.16/6.65 tff(25567,plain,
% 9.16/6.65 (~always3(s123)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8774, 25562])).
% 9.16/6.65 tff(25568,plain,
% 9.16/6.65 (~node4(s123)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10662, 22, 25567])).
% 9.16/6.65 tff(25569,plain,
% 9.16/6.65 (xuntil6(s123) | (~until5(s123))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10669, 36, 25568])).
% 9.16/6.65 tff(25570,plain,
% 9.16/6.65 (~until5(s123)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25569, 25566])).
% 9.16/6.65 tff(25571,plain,
% 9.16/6.65 (~xuntil6(s122)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10658, 25570])).
% 9.16/6.65 tff(25572,plain,
% 9.16/6.65 (~always3(s122)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8786, 25567])).
% 9.16/6.65 tff(25573,plain,
% 9.16/6.65 (~node4(s122)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10645, 22, 25572])).
% 9.16/6.65 tff(25574,plain,
% 9.16/6.65 (xuntil6(s122) | (~until5(s122))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10652, 36, 25573])).
% 9.16/6.65 tff(25575,plain,
% 9.16/6.65 (~until5(s122)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25574, 25571])).
% 9.16/6.65 tff(25576,plain,
% 9.16/6.65 (~xuntil6(s121)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10641, 25575])).
% 9.16/6.65 tff(25577,plain,
% 9.16/6.65 (~always3(s121)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8798, 25572])).
% 9.16/6.65 tff(25578,plain,
% 9.16/6.65 (~node4(s121)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10628, 22, 25577])).
% 9.16/6.65 tff(25579,plain,
% 9.16/6.65 (xuntil6(s121) | (~until5(s121))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10635, 36, 25578])).
% 9.16/6.65 tff(25580,plain,
% 9.16/6.65 (~until5(s121)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25579, 25576])).
% 9.16/6.65 tff(25581,plain,
% 9.16/6.65 (~xuntil6(s120)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10624, 25580])).
% 9.16/6.65 tff(25582,plain,
% 9.16/6.65 (~always3(s120)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8810, 25577])).
% 9.16/6.65 tff(25583,plain,
% 9.16/6.65 (~node4(s120)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10611, 22, 25582])).
% 9.16/6.65 tff(25584,plain,
% 9.16/6.65 (xuntil6(s120) | (~until5(s120))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10618, 36, 25583])).
% 9.16/6.65 tff(25585,plain,
% 9.16/6.65 (~until5(s120)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25584, 25581])).
% 9.16/6.65 tff(25586,plain,
% 9.16/6.65 (~xuntil6(s119)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10607, 25585])).
% 9.16/6.65 tff(25587,plain,
% 9.16/6.65 (~always3(s119)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8822, 25582])).
% 9.16/6.65 tff(25588,plain,
% 9.16/6.65 (~node4(s119)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10594, 22, 25587])).
% 9.16/6.65 tff(25589,plain,
% 9.16/6.65 (xuntil6(s119) | (~until5(s119))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10601, 36, 25588])).
% 9.16/6.65 tff(25590,plain,
% 9.16/6.65 (~until5(s119)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25589, 25586])).
% 9.16/6.65 tff(25591,plain,
% 9.16/6.65 (~xuntil6(s118)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10590, 25590])).
% 9.16/6.65 tff(25592,plain,
% 9.16/6.65 (~always3(s118)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8834, 25587])).
% 9.16/6.65 tff(25593,plain,
% 9.16/6.65 (~node4(s118)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10577, 22, 25592])).
% 9.16/6.65 tff(25594,plain,
% 9.16/6.65 (xuntil6(s118) | (~until5(s118))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10584, 36, 25593])).
% 9.16/6.65 tff(25595,plain,
% 9.16/6.65 (~until5(s118)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25594, 25591])).
% 9.16/6.65 tff(25596,plain,
% 9.16/6.65 (~xuntil6(s117)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10573, 25595])).
% 9.16/6.65 tff(25597,plain,
% 9.16/6.65 (~always3(s117)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8846, 25592])).
% 9.16/6.65 tff(25598,plain,
% 9.16/6.65 (~node4(s117)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10560, 22, 25597])).
% 9.16/6.65 tff(25599,plain,
% 9.16/6.65 (xuntil6(s117) | (~until5(s117))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10567, 36, 25598])).
% 9.16/6.65 tff(25600,plain,
% 9.16/6.65 (~until5(s117)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25599, 25596])).
% 9.16/6.65 tff(25601,plain,
% 9.16/6.65 (~xuntil6(s116)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10556, 25600])).
% 9.16/6.65 tff(25602,plain,
% 9.16/6.65 (~always3(s116)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8858, 25597])).
% 9.16/6.65 tff(25603,plain,
% 9.16/6.65 (~node4(s116)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10543, 22, 25602])).
% 9.16/6.65 tff(25604,plain,
% 9.16/6.65 (xuntil6(s116) | (~until5(s116))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10550, 36, 25603])).
% 9.16/6.65 tff(25605,plain,
% 9.16/6.65 (~until5(s116)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25604, 25601])).
% 9.16/6.65 tff(25606,plain,
% 9.16/6.65 (~xuntil6(s115)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10539, 25605])).
% 9.16/6.65 tff(25607,plain,
% 9.16/6.65 (~always3(s115)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8870, 25602])).
% 9.16/6.65 tff(25608,plain,
% 9.16/6.65 (~node4(s115)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10526, 22, 25607])).
% 9.16/6.65 tff(25609,plain,
% 9.16/6.65 (xuntil6(s115) | (~until5(s115))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10533, 36, 25608])).
% 9.16/6.65 tff(25610,plain,
% 9.16/6.65 (~until5(s115)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25609, 25606])).
% 9.16/6.65 tff(25611,plain,
% 9.16/6.65 (~xuntil6(s114)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10522, 25610])).
% 9.16/6.65 tff(25612,plain,
% 9.16/6.65 (~always3(s114)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8882, 25607])).
% 9.16/6.65 tff(25613,plain,
% 9.16/6.65 (~node4(s114)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10509, 22, 25612])).
% 9.16/6.65 tff(25614,plain,
% 9.16/6.65 (xuntil6(s114) | (~until5(s114))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10516, 36, 25613])).
% 9.16/6.65 tff(25615,plain,
% 9.16/6.65 (~until5(s114)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25614, 25611])).
% 9.16/6.65 tff(25616,plain,
% 9.16/6.65 (~xuntil6(s113)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10505, 25615])).
% 9.16/6.65 tff(25617,plain,
% 9.16/6.65 (~always3(s113)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8894, 25612])).
% 9.16/6.65 tff(25618,plain,
% 9.16/6.65 (~node4(s113)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10492, 22, 25617])).
% 9.16/6.65 tff(25619,plain,
% 9.16/6.65 (xuntil6(s113) | (~until5(s113))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10499, 36, 25618])).
% 9.16/6.65 tff(25620,plain,
% 9.16/6.65 (~until5(s113)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25619, 25616])).
% 9.16/6.65 tff(25621,plain,
% 9.16/6.65 (~xuntil6(s112)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10488, 25620])).
% 9.16/6.65 tff(25622,plain,
% 9.16/6.65 (~always3(s112)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8906, 25617])).
% 9.16/6.65 tff(25623,plain,
% 9.16/6.65 (~node4(s112)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10475, 22, 25622])).
% 9.16/6.65 tff(25624,plain,
% 9.16/6.65 (xuntil6(s112) | (~until5(s112))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10482, 36, 25623])).
% 9.16/6.65 tff(25625,plain,
% 9.16/6.65 (~until5(s112)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25624, 25621])).
% 9.16/6.65 tff(25626,plain,
% 9.16/6.65 (~xuntil6(s111)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10471, 25625])).
% 9.16/6.65 tff(25627,plain,
% 9.16/6.65 (~always3(s111)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8918, 25622])).
% 9.16/6.65 tff(25628,plain,
% 9.16/6.65 (~node4(s111)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10458, 22, 25627])).
% 9.16/6.65 tff(25629,plain,
% 9.16/6.65 (xuntil6(s111) | (~until5(s111))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10465, 36, 25628])).
% 9.16/6.65 tff(25630,plain,
% 9.16/6.65 (~until5(s111)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25629, 25626])).
% 9.16/6.65 tff(25631,plain,
% 9.16/6.65 (~xuntil6(s110)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10454, 25630])).
% 9.16/6.65 tff(25632,plain,
% 9.16/6.65 (~always3(s110)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8930, 25627])).
% 9.16/6.65 tff(25633,plain,
% 9.16/6.65 (~node4(s110)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10441, 22, 25632])).
% 9.16/6.65 tff(25634,plain,
% 9.16/6.65 (xuntil6(s110) | (~until5(s110))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10448, 36, 25633])).
% 9.16/6.65 tff(25635,plain,
% 9.16/6.65 (~until5(s110)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25634, 25631])).
% 9.16/6.65 tff(25636,plain,
% 9.16/6.65 (~xuntil6(s109)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10437, 25635])).
% 9.16/6.65 tff(25637,plain,
% 9.16/6.65 (~always3(s109)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8942, 25632])).
% 9.16/6.65 tff(25638,plain,
% 9.16/6.65 (~node4(s109)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10424, 22, 25637])).
% 9.16/6.65 tff(25639,plain,
% 9.16/6.65 (xuntil6(s109) | (~until5(s109))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10431, 36, 25638])).
% 9.16/6.65 tff(25640,plain,
% 9.16/6.65 (~until5(s109)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25639, 25636])).
% 9.16/6.65 tff(25641,plain,
% 9.16/6.65 (~xuntil6(s108)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10420, 25640])).
% 9.16/6.65 tff(25642,plain,
% 9.16/6.65 (~always3(s108)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8954, 25637])).
% 9.16/6.65 tff(25643,plain,
% 9.16/6.65 (~node4(s108)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10407, 22, 25642])).
% 9.16/6.65 tff(25644,plain,
% 9.16/6.65 (xuntil6(s108) | (~until5(s108))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10414, 36, 25643])).
% 9.16/6.65 tff(25645,plain,
% 9.16/6.65 (~until5(s108)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25644, 25641])).
% 9.16/6.65 tff(25646,plain,
% 9.16/6.65 (~xuntil6(s107)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10403, 25645])).
% 9.16/6.65 tff(25647,plain,
% 9.16/6.65 (~always3(s107)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8966, 25642])).
% 9.16/6.65 tff(25648,plain,
% 9.16/6.65 (~node4(s107)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10390, 22, 25647])).
% 9.16/6.65 tff(25649,plain,
% 9.16/6.65 (xuntil6(s107) | (~until5(s107))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10397, 36, 25648])).
% 9.16/6.65 tff(25650,plain,
% 9.16/6.65 (~until5(s107)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25649, 25646])).
% 9.16/6.65 tff(25651,plain,
% 9.16/6.65 (~xuntil6(s106)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10386, 25650])).
% 9.16/6.65 tff(25652,plain,
% 9.16/6.65 (~always3(s106)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8978, 25647])).
% 9.16/6.65 tff(25653,plain,
% 9.16/6.65 (~node4(s106)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10373, 22, 25652])).
% 9.16/6.65 tff(25654,plain,
% 9.16/6.65 (xuntil6(s106) | (~until5(s106))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10380, 36, 25653])).
% 9.16/6.65 tff(25655,plain,
% 9.16/6.65 (~until5(s106)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25654, 25651])).
% 9.16/6.65 tff(25656,plain,
% 9.16/6.65 (~xuntil6(s105)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10369, 25655])).
% 9.16/6.65 tff(25657,plain,
% 9.16/6.65 (~always3(s105)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8990, 25652])).
% 9.16/6.65 tff(25658,plain,
% 9.16/6.65 (~node4(s105)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10356, 22, 25657])).
% 9.16/6.65 tff(25659,plain,
% 9.16/6.65 (xuntil6(s105) | (~until5(s105))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10363, 36, 25658])).
% 9.16/6.65 tff(25660,plain,
% 9.16/6.65 (~until5(s105)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25659, 25656])).
% 9.16/6.65 tff(25661,plain,
% 9.16/6.65 (~xuntil6(s104)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10352, 25660])).
% 9.16/6.65 tff(25662,plain,
% 9.16/6.65 (~always3(s104)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9002, 25657])).
% 9.16/6.65 tff(25663,plain,
% 9.16/6.65 (~node4(s104)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10339, 22, 25662])).
% 9.16/6.65 tff(25664,plain,
% 9.16/6.65 (xuntil6(s104) | (~until5(s104))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10346, 36, 25663])).
% 9.16/6.65 tff(25665,plain,
% 9.16/6.65 (~until5(s104)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25664, 25661])).
% 9.16/6.65 tff(25666,plain,
% 9.16/6.65 (~xuntil6(s103)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10335, 25665])).
% 9.16/6.65 tff(25667,plain,
% 9.16/6.65 (~always3(s103)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9014, 25662])).
% 9.16/6.65 tff(25668,plain,
% 9.16/6.65 (~node4(s103)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10322, 22, 25667])).
% 9.16/6.65 tff(25669,plain,
% 9.16/6.65 (xuntil6(s103) | (~until5(s103))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10329, 36, 25668])).
% 9.16/6.65 tff(25670,plain,
% 9.16/6.65 (~until5(s103)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25669, 25666])).
% 9.16/6.65 tff(25671,plain,
% 9.16/6.65 (~xuntil6(s102)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10318, 25670])).
% 9.16/6.65 tff(25672,plain,
% 9.16/6.65 (~always3(s102)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9026, 25667])).
% 9.16/6.65 tff(25673,plain,
% 9.16/6.65 (~node4(s102)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10305, 22, 25672])).
% 9.16/6.65 tff(25674,plain,
% 9.16/6.65 (xuntil6(s102) | (~until5(s102))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10312, 36, 25673])).
% 9.16/6.65 tff(25675,plain,
% 9.16/6.65 (~until5(s102)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25674, 25671])).
% 9.16/6.65 tff(25676,plain,
% 9.16/6.65 (~xuntil6(s101)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10301, 25675])).
% 9.16/6.65 tff(25677,plain,
% 9.16/6.65 (~always3(s101)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9038, 25672])).
% 9.16/6.65 tff(25678,plain,
% 9.16/6.65 (~always3(s100)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9050, 25677])).
% 9.16/6.65 tff(25679,plain,
% 9.16/6.65 (~always3(s99)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9062, 25678])).
% 9.16/6.65 tff(25680,plain,
% 9.16/6.65 (~always3(s98)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9074, 25679])).
% 9.16/6.65 tff(25681,plain,
% 9.16/6.65 (~always3(s97)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9086, 25680])).
% 9.16/6.65 tff(25682,plain,
% 9.16/6.65 (~always3(s96)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9098, 25681])).
% 9.16/6.65 tff(25683,plain,
% 9.16/6.65 (~always3(s95)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9110, 25682])).
% 9.16/6.65 tff(25684,plain,
% 9.16/6.65 (~always3(s94)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9122, 25683])).
% 9.16/6.65 tff(25685,plain,
% 9.16/6.65 (~always3(s93)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9134, 25684])).
% 9.16/6.65 tff(25686,plain,
% 9.16/6.65 (~always3(s92)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9146, 25685])).
% 9.16/6.65 tff(25687,plain,
% 9.16/6.65 (~always3(s91)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9158, 25686])).
% 9.16/6.65 tff(25688,plain,
% 9.16/6.65 (~always3(s90)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9170, 25687])).
% 9.16/6.65 tff(25689,plain,
% 9.16/6.65 (~always3(s89)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9182, 25688])).
% 9.16/6.65 tff(25690,plain,
% 9.16/6.65 (~always3(s88)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9194, 25689])).
% 9.16/6.65 tff(25691,plain,
% 9.16/6.65 (~always3(s87)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9206, 25690])).
% 9.16/6.65 tff(25692,plain,
% 9.16/6.65 (~always3(s86)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9218, 25691])).
% 9.16/6.65 tff(25693,plain,
% 9.16/6.65 (~always3(s85)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9230, 25692])).
% 9.16/6.65 tff(25694,plain,
% 9.16/6.65 (~always3(s84)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9242, 25693])).
% 9.16/6.65 tff(25695,plain,
% 9.16/6.65 (~always3(s83)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9254, 25694])).
% 9.16/6.65 tff(25696,plain,
% 9.16/6.65 (~always3(s82)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9266, 25695])).
% 9.16/6.65 tff(25697,plain,
% 9.16/6.65 (~always3(s81)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9278, 25696])).
% 9.16/6.65 tff(25698,plain,
% 9.16/6.65 (~always3(s80)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9290, 25697])).
% 9.16/6.65 tff(25699,plain,
% 9.16/6.65 (~always3(s79)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9302, 25698])).
% 9.16/6.65 tff(25700,plain,
% 9.16/6.65 (~always3(s78)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9314, 25699])).
% 9.16/6.65 tff(25701,plain,
% 9.16/6.65 (~always3(s77)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9326, 25700])).
% 9.16/6.65 tff(25702,plain,
% 9.16/6.65 (~always3(s76)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9338, 25701])).
% 9.16/6.65 tff(25703,plain,
% 9.16/6.65 (~always3(s75)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9350, 25702])).
% 9.16/6.65 tff(25704,plain,
% 9.16/6.65 (~always3(s74)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9362, 25703])).
% 9.16/6.65 tff(25705,plain,
% 9.16/6.65 (~always3(s73)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9374, 25704])).
% 9.16/6.65 tff(25706,plain,
% 9.16/6.65 (~always3(s72)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9386, 25705])).
% 9.16/6.65 tff(25707,plain,
% 9.16/6.65 (~always3(s71)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9398, 25706])).
% 9.16/6.65 tff(25708,plain,
% 9.16/6.65 (~always3(s70)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9410, 25707])).
% 9.16/6.65 tff(25709,plain,
% 9.16/6.65 (~always3(s69)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9422, 25708])).
% 9.16/6.65 tff(25710,plain,
% 9.16/6.65 (~always3(s68)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9434, 25709])).
% 9.16/6.65 tff(25711,plain,
% 9.16/6.65 (~always3(s67)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9446, 25710])).
% 9.16/6.65 tff(25712,plain,
% 9.16/6.65 (~always3(s66)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9458, 25711])).
% 9.16/6.65 tff(25713,plain,
% 9.16/6.65 (~always3(s65)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9470, 25712])).
% 9.16/6.65 tff(25714,plain,
% 9.16/6.65 (~always3(s64)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9482, 25713])).
% 9.16/6.65 tff(25715,plain,
% 9.16/6.65 (~always3(s63)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9494, 25714])).
% 9.16/6.65 tff(25716,plain,
% 9.16/6.65 (~always3(s62)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9506, 25715])).
% 9.16/6.65 tff(25717,plain,
% 9.16/6.65 (~always3(s61)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9518, 25716])).
% 9.16/6.65 tff(25718,plain,
% 9.16/6.65 (~always3(s60)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9530, 25717])).
% 9.16/6.65 tff(25719,plain,
% 9.16/6.65 (~always3(s59)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9542, 25718])).
% 9.16/6.65 tff(25720,plain,
% 9.16/6.65 (~always3(s58)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9558, 25719])).
% 9.16/6.65 tff(25721,plain,
% 9.16/6.65 (~always3(s57)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[5004, 25720])).
% 9.16/6.65 tff(25722,plain,
% 9.16/6.65 (~always3(s56)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4870, 25721])).
% 9.16/6.65 tff(25723,plain,
% 9.16/6.65 (~always3(s55)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4750, 25722])).
% 9.16/6.65 tff(25724,plain,
% 9.16/6.65 (~always3(s54)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4602, 25723])).
% 9.16/6.65 tff(25725,plain,
% 9.16/6.65 (~always3(s53)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4647, 25724])).
% 9.16/6.65 tff(25726,plain,
% 9.16/6.65 (~always3(s52)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4521, 25725])).
% 9.16/6.65 tff(25727,plain,
% 9.16/6.65 (~always3(s51)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4412, 25726])).
% 9.16/6.65 tff(25728,plain,
% 9.16/6.65 (~always3(s50)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4363, 25727])).
% 9.16/6.65 tff(25729,plain,
% 9.16/6.65 (~always3(s49)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3944, 25728])).
% 9.16/6.65 tff(25730,plain,
% 9.16/6.65 (~always3(s48)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3754, 25729])).
% 9.16/6.65 tff(25731,plain,
% 9.16/6.65 (~always3(s47)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3799, 25730])).
% 9.16/6.65 tff(25732,plain,
% 9.16/6.65 (~always3(s46)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3828, 25731])).
% 9.16/6.65 tff(25733,plain,
% 9.16/6.65 (~always3(s45)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3857, 25732])).
% 9.16/6.65 tff(25734,plain,
% 9.16/6.65 (~always3(s44)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3886, 25733])).
% 9.16/6.65 tff(25735,plain,
% 9.16/6.65 (~always3(s43)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3705, 25734])).
% 9.16/6.65 tff(25736,plain,
% 9.16/6.65 (~always3(s42)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3618, 25735])).
% 9.16/6.65 tff(25737,plain,
% 9.16/6.65 (~always3(s41)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3559, 25736])).
% 9.16/6.65 tff(25738,plain,
% 9.16/6.65 (~always3(s40)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3474, 25737])).
% 9.16/6.65 tff(25739,plain,
% 9.16/6.65 (~always3(s39)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3424, 25738])).
% 9.16/6.65 tff(25740,plain,
% 9.16/6.65 (~node4(s39)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3428, 22, 25739])).
% 9.16/6.65 tff(25741,plain,
% 9.16/6.65 (~always3(s38)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3233, 25739])).
% 9.16/6.65 tff(25742,plain,
% 9.16/6.65 (~node4(s38)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3219, 22, 25741])).
% 9.16/6.65 tff(25743,plain,
% 9.16/6.65 (~always3(s37)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[2932, 25741])).
% 9.16/6.65 tff(25744,plain,
% 9.16/6.65 (xuntil6(s37)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3202, 25743])).
% 9.16/6.65 tff(25745,plain,
% 9.16/6.65 (until5(s38)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3207, 25744])).
% 9.16/6.65 tff(25746,plain,
% 9.16/6.65 (xuntil6(s38) | node4(s38)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3214, 36, 25745])).
% 9.16/6.65 tff(25747,plain,
% 9.16/6.65 (xuntil6(s38)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25746, 25742])).
% 9.16/6.65 tff(25748,plain,
% 9.16/6.65 (until5(s39)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3410, 25747])).
% 9.16/6.65 tff(25749,plain,
% 9.16/6.65 (xuntil6(s39)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3460, 36, 25748, 25740])).
% 9.16/6.65 tff(25750,plain,
% 9.16/6.65 (until5(s40)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3445, 25749])).
% 9.16/6.65 tff(25751,plain,
% 9.16/6.65 (~node4(s40)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3432, 22, 25738])).
% 9.16/6.65 tff(25752,plain,
% 9.16/6.65 (xuntil6(s40) | (~until5(s40))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3439, 36, 25751])).
% 9.16/6.65 tff(25753,plain,
% 9.16/6.65 (xuntil6(s40)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25752, 25750])).
% 9.16/6.65 tff(25754,plain,
% 9.16/6.65 (until5(s41)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3545, 25753])).
% 9.16/6.65 tff(25755,plain,
% 9.16/6.65 (~node4(s41)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3563, 22, 25737])).
% 9.16/6.65 tff(25756,plain,
% 9.16/6.65 (xuntil6(s41) | (~until5(s41))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3587, 36, 25755])).
% 9.16/6.65 tff(25757,plain,
% 9.16/6.65 (xuntil6(s41)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25756, 25754])).
% 9.16/6.65 tff(25758,plain,
% 9.16/6.65 (until5(s42)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3580, 25757])).
% 9.16/6.65 tff(25759,plain,
% 9.16/6.65 (~node4(s42)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3567, 22, 25736])).
% 9.16/6.65 tff(25760,plain,
% 9.16/6.65 (xuntil6(s42) | (~until5(s42))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3574, 36, 25759])).
% 9.16/6.65 tff(25761,plain,
% 9.16/6.65 (xuntil6(s42)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25760, 25758])).
% 9.16/6.65 tff(25762,plain,
% 9.16/6.65 (until5(s43)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3684, 25761])).
% 9.16/6.65 tff(25763,plain,
% 9.16/6.65 (~node4(s43)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3693, 22, 25735])).
% 9.16/6.65 tff(25764,plain,
% 9.16/6.65 (xuntil6(s43) | (~until5(s43))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3734, 36, 25763])).
% 9.16/6.65 tff(25765,plain,
% 9.16/6.65 (xuntil6(s43)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25764, 25762])).
% 9.16/6.65 tff(25766,plain,
% 9.16/6.65 (until5(s44)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3740, 25765])).
% 9.16/6.65 tff(25767,plain,
% 9.16/6.65 (~node4(s44)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3890, 22, 25734])).
% 9.16/6.65 tff(25768,plain,
% 9.16/6.65 (xuntil6(s44) | (~until5(s44))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3897, 36, 25767])).
% 9.16/6.65 tff(25769,plain,
% 9.16/6.65 (xuntil6(s44)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25768, 25766])).
% 9.16/6.65 tff(25770,plain,
% 9.16/6.65 (until5(s45)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3877, 25769])).
% 9.16/6.65 tff(25771,plain,
% 9.16/6.65 (~node4(s45)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3861, 22, 25733])).
% 9.16/6.65 tff(25772,plain,
% 9.16/6.65 (xuntil6(s45) | (~until5(s45))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3868, 36, 25771])).
% 9.16/6.65 tff(25773,plain,
% 9.16/6.65 (xuntil6(s45)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25772, 25770])).
% 9.16/6.65 tff(25774,plain,
% 9.16/6.65 (until5(s46)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3848, 25773])).
% 9.16/6.65 tff(25775,plain,
% 9.16/6.65 (~node4(s46)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3832, 22, 25732])).
% 9.16/6.65 tff(25776,plain,
% 9.16/6.65 (xuntil6(s46) | (~until5(s46))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3839, 36, 25775])).
% 9.16/6.65 tff(25777,plain,
% 9.16/6.65 (xuntil6(s46)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25776, 25774])).
% 9.16/6.65 tff(25778,plain,
% 9.16/6.65 (until5(s47)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3819, 25777])).
% 9.16/6.65 tff(25779,plain,
% 9.16/6.65 (~node4(s47)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3803, 22, 25731])).
% 9.16/6.65 tff(25780,plain,
% 9.16/6.65 (xuntil6(s47) | (~until5(s47))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3810, 36, 25779])).
% 9.16/6.65 tff(25781,plain,
% 9.16/6.65 (xuntil6(s47)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25780, 25778])).
% 9.16/6.65 tff(25782,plain,
% 9.16/6.65 (until5(s48)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3790, 25781])).
% 9.16/6.65 tff(25783,plain,
% 9.16/6.65 (~node4(s48)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3758, 22, 25730])).
% 9.16/6.65 tff(25784,plain,
% 9.16/6.65 (xuntil6(s48) | (~until5(s48))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3782, 36, 25783])).
% 9.16/6.65 tff(25785,plain,
% 9.16/6.65 (xuntil6(s48)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25784, 25782])).
% 9.16/6.65 tff(25786,plain,
% 9.16/6.65 (until5(s49)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3775, 25785])).
% 9.16/6.65 tff(25787,plain,
% 9.16/6.65 (~node4(s49)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3762, 22, 25729])).
% 9.16/6.65 tff(25788,plain,
% 9.16/6.65 (xuntil6(s49) | (~until5(s49))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[3769, 36, 25787])).
% 9.16/6.65 tff(25789,plain,
% 9.16/6.65 (xuntil6(s49)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25788, 25786])).
% 9.16/6.65 tff(25790,plain,
% 9.16/6.65 (until5(s50)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4342, 25789])).
% 9.16/6.65 tff(25791,plain,
% 9.16/6.65 (~node4(s50)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4351, 22, 25728])).
% 9.16/6.65 tff(25792,plain,
% 9.16/6.65 (xuntil6(s50) | (~until5(s50))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4392, 36, 25791])).
% 9.16/6.65 tff(25793,plain,
% 9.16/6.65 (xuntil6(s50)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25792, 25790])).
% 9.16/6.65 tff(25794,plain,
% 9.16/6.65 (until5(s51)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4398, 25793])).
% 9.16/6.65 tff(25795,plain,
% 9.16/6.65 (~node4(s51)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4416, 22, 25727])).
% 9.16/6.65 tff(25796,plain,
% 9.16/6.65 (xuntil6(s51) | (~until5(s51))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4440, 36, 25795])).
% 9.16/6.65 tff(25797,plain,
% 9.16/6.65 (xuntil6(s51)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25796, 25794])).
% 9.16/6.65 tff(25798,plain,
% 9.16/6.65 (until5(s52)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4433, 25797])).
% 9.16/6.65 tff(25799,plain,
% 9.16/6.65 (~node4(s52)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4420, 22, 25726])).
% 9.16/6.65 tff(25800,plain,
% 9.16/6.65 (xuntil6(s52) | (~until5(s52))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4427, 36, 25799])).
% 9.16/6.65 tff(25801,plain,
% 9.16/6.65 (xuntil6(s52)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25800, 25798])).
% 9.16/6.65 tff(25802,plain,
% 9.16/6.65 (until5(s53)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4587, 25801])).
% 9.16/6.65 tff(25803,plain,
% 9.16/6.65 (~node4(s53)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4651, 22, 25725])).
% 9.16/6.65 tff(25804,plain,
% 9.16/6.65 (xuntil6(s53) | (~until5(s53))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4658, 36, 25803])).
% 9.16/6.65 tff(25805,plain,
% 9.16/6.65 (xuntil6(s53)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25804, 25802])).
% 9.16/6.65 tff(25806,plain,
% 9.16/6.65 (until5(s54)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4638, 25805])).
% 9.16/6.65 tff(25807,plain,
% 9.16/6.65 (~node4(s54)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4606, 22, 25724])).
% 9.16/6.65 tff(25808,plain,
% 9.16/6.65 (xuntil6(s54) | (~until5(s54))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4630, 36, 25807])).
% 9.16/6.65 tff(25809,plain,
% 9.16/6.65 (xuntil6(s54)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25808, 25806])).
% 9.16/6.65 tff(25810,plain,
% 9.16/6.65 (until5(s55)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4623, 25809])).
% 9.16/6.65 tff(25811,plain,
% 9.16/6.65 (~node4(s55)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4610, 22, 25723])).
% 9.16/6.65 tff(25812,plain,
% 9.16/6.65 (xuntil6(s55) | (~until5(s55))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4617, 36, 25811])).
% 9.16/6.65 tff(25813,plain,
% 9.16/6.65 (xuntil6(s55)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25812, 25810])).
% 9.16/6.65 tff(25814,plain,
% 9.16/6.65 (until5(s56)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4856, 25813])).
% 9.16/6.65 tff(25815,plain,
% 9.16/6.65 (~node4(s56)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4874, 22, 25722])).
% 9.16/6.65 tff(25816,plain,
% 9.16/6.65 (xuntil6(s56) | (~until5(s56))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4898, 36, 25815])).
% 9.16/6.65 tff(25817,plain,
% 9.16/6.65 (xuntil6(s56)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25816, 25814])).
% 9.16/6.65 tff(25818,plain,
% 9.16/6.65 (until5(s57)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4891, 25817])).
% 9.16/6.65 tff(25819,plain,
% 9.16/6.65 (~node4(s57)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4878, 22, 25721])).
% 9.16/6.65 tff(25820,plain,
% 9.16/6.65 (xuntil6(s57) | (~until5(s57))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[4885, 36, 25819])).
% 9.16/6.65 tff(25821,plain,
% 9.16/6.65 (xuntil6(s57)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25820, 25818])).
% 9.16/6.65 tff(25822,plain,
% 9.16/6.65 (until5(s58)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[5070, 25821])).
% 9.16/6.65 tff(25823,plain,
% 9.16/6.65 (~node4(s58)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9562, 22, 25720])).
% 9.16/6.65 tff(25824,plain,
% 9.16/6.65 (xuntil6(s58) | (~until5(s58))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9569, 36, 25823])).
% 9.16/6.65 tff(25825,plain,
% 9.16/6.65 (xuntil6(s58)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25824, 25822])).
% 9.16/6.65 tff(25826,plain,
% 9.16/6.65 (until5(s59)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9575, 25825])).
% 9.16/6.65 tff(25827,plain,
% 9.16/6.65 (~node4(s59)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9546, 22, 25719])).
% 9.16/6.65 tff(25828,plain,
% 9.16/6.65 (xuntil6(s59) | (~until5(s59))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9582, 36, 25827])).
% 9.16/6.65 tff(25829,plain,
% 9.16/6.65 (xuntil6(s59)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25828, 25826])).
% 9.16/6.65 tff(25830,plain,
% 9.16/6.65 (until5(s60)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9587, 25829])).
% 9.16/6.65 tff(25831,plain,
% 9.16/6.65 (~node4(s60)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9591, 22, 25718])).
% 9.16/6.65 tff(25832,plain,
% 9.16/6.65 (xuntil6(s60) | (~until5(s60))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9598, 36, 25831])).
% 9.16/6.65 tff(25833,plain,
% 9.16/6.65 (xuntil6(s60)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25832, 25830])).
% 9.16/6.65 tff(25834,plain,
% 9.16/6.65 (until5(s61)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9604, 25833])).
% 9.16/6.65 tff(25835,plain,
% 9.16/6.65 (~node4(s61)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9608, 22, 25717])).
% 9.16/6.65 tff(25836,plain,
% 9.16/6.65 (xuntil6(s61) | (~until5(s61))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9615, 36, 25835])).
% 9.16/6.65 tff(25837,plain,
% 9.16/6.65 (xuntil6(s61)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25836, 25834])).
% 9.16/6.65 tff(25838,plain,
% 9.16/6.65 (until5(s62)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9621, 25837])).
% 9.16/6.65 tff(25839,plain,
% 9.16/6.65 (~node4(s62)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9625, 22, 25716])).
% 9.16/6.65 tff(25840,plain,
% 9.16/6.65 (xuntil6(s62) | (~until5(s62))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9632, 36, 25839])).
% 9.16/6.65 tff(25841,plain,
% 9.16/6.65 (xuntil6(s62)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25840, 25838])).
% 9.16/6.65 tff(25842,plain,
% 9.16/6.65 (until5(s63)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9638, 25841])).
% 9.16/6.65 tff(25843,plain,
% 9.16/6.65 (~node4(s63)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9642, 22, 25715])).
% 9.16/6.65 tff(25844,plain,
% 9.16/6.65 (xuntil6(s63) | (~until5(s63))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9649, 36, 25843])).
% 9.16/6.65 tff(25845,plain,
% 9.16/6.65 (xuntil6(s63)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25844, 25842])).
% 9.16/6.65 tff(25846,plain,
% 9.16/6.65 (until5(s64)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9655, 25845])).
% 9.16/6.65 tff(25847,plain,
% 9.16/6.65 (~node4(s64)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9659, 22, 25714])).
% 9.16/6.65 tff(25848,plain,
% 9.16/6.65 (xuntil6(s64) | (~until5(s64))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9666, 36, 25847])).
% 9.16/6.65 tff(25849,plain,
% 9.16/6.65 (xuntil6(s64)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25848, 25846])).
% 9.16/6.65 tff(25850,plain,
% 9.16/6.65 (until5(s65)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9672, 25849])).
% 9.16/6.65 tff(25851,plain,
% 9.16/6.65 (~node4(s65)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9676, 22, 25713])).
% 9.16/6.65 tff(25852,plain,
% 9.16/6.65 (xuntil6(s65) | (~until5(s65))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9683, 36, 25851])).
% 9.16/6.65 tff(25853,plain,
% 9.16/6.65 (xuntil6(s65)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25852, 25850])).
% 9.16/6.65 tff(25854,plain,
% 9.16/6.65 (until5(s66)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9689, 25853])).
% 9.16/6.65 tff(25855,plain,
% 9.16/6.65 (~node4(s66)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9693, 22, 25712])).
% 9.16/6.65 tff(25856,plain,
% 9.16/6.65 (xuntil6(s66) | (~until5(s66))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9700, 36, 25855])).
% 9.16/6.65 tff(25857,plain,
% 9.16/6.65 (xuntil6(s66)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25856, 25854])).
% 9.16/6.65 tff(25858,plain,
% 9.16/6.65 (until5(s67)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9706, 25857])).
% 9.16/6.65 tff(25859,plain,
% 9.16/6.65 (~node4(s67)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9710, 22, 25711])).
% 9.16/6.65 tff(25860,plain,
% 9.16/6.65 (xuntil6(s67) | (~until5(s67))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9717, 36, 25859])).
% 9.16/6.65 tff(25861,plain,
% 9.16/6.65 (xuntil6(s67)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25860, 25858])).
% 9.16/6.65 tff(25862,plain,
% 9.16/6.65 (until5(s68)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9723, 25861])).
% 9.16/6.65 tff(25863,plain,
% 9.16/6.65 (~node4(s68)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9727, 22, 25710])).
% 9.16/6.65 tff(25864,plain,
% 9.16/6.65 (xuntil6(s68) | (~until5(s68))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9734, 36, 25863])).
% 9.16/6.65 tff(25865,plain,
% 9.16/6.65 (xuntil6(s68)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25864, 25862])).
% 9.16/6.65 tff(25866,plain,
% 9.16/6.65 (until5(s69)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9740, 25865])).
% 9.16/6.65 tff(25867,plain,
% 9.16/6.65 (~node4(s69)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9744, 22, 25709])).
% 9.16/6.65 tff(25868,plain,
% 9.16/6.65 (xuntil6(s69) | (~until5(s69))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9751, 36, 25867])).
% 9.16/6.65 tff(25869,plain,
% 9.16/6.65 (xuntil6(s69)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25868, 25866])).
% 9.16/6.65 tff(25870,plain,
% 9.16/6.65 (until5(s70)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9757, 25869])).
% 9.16/6.65 tff(25871,plain,
% 9.16/6.65 (~node4(s70)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9761, 22, 25708])).
% 9.16/6.65 tff(25872,plain,
% 9.16/6.65 (xuntil6(s70) | (~until5(s70))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9768, 36, 25871])).
% 9.16/6.65 tff(25873,plain,
% 9.16/6.65 (xuntil6(s70)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25872, 25870])).
% 9.16/6.65 tff(25874,plain,
% 9.16/6.65 (until5(s71)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9774, 25873])).
% 9.16/6.65 tff(25875,plain,
% 9.16/6.65 (~node4(s71)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9778, 22, 25707])).
% 9.16/6.65 tff(25876,plain,
% 9.16/6.65 (xuntil6(s71) | (~until5(s71))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9785, 36, 25875])).
% 9.16/6.65 tff(25877,plain,
% 9.16/6.65 (xuntil6(s71)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25876, 25874])).
% 9.16/6.65 tff(25878,plain,
% 9.16/6.65 (until5(s72)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9791, 25877])).
% 9.16/6.65 tff(25879,plain,
% 9.16/6.65 (~node4(s72)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9795, 22, 25706])).
% 9.16/6.65 tff(25880,plain,
% 9.16/6.65 (xuntil6(s72) | (~until5(s72))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9802, 36, 25879])).
% 9.16/6.65 tff(25881,plain,
% 9.16/6.65 (xuntil6(s72)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25880, 25878])).
% 9.16/6.65 tff(25882,plain,
% 9.16/6.65 (until5(s73)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9808, 25881])).
% 9.16/6.65 tff(25883,plain,
% 9.16/6.65 (~node4(s73)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9812, 22, 25705])).
% 9.16/6.65 tff(25884,plain,
% 9.16/6.65 (xuntil6(s73) | (~until5(s73))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9819, 36, 25883])).
% 9.16/6.65 tff(25885,plain,
% 9.16/6.65 (xuntil6(s73)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25884, 25882])).
% 9.16/6.65 tff(25886,plain,
% 9.16/6.65 (until5(s74)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9825, 25885])).
% 9.16/6.65 tff(25887,plain,
% 9.16/6.65 (~node4(s74)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9829, 22, 25704])).
% 9.16/6.65 tff(25888,plain,
% 9.16/6.65 (xuntil6(s74) | (~until5(s74))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9836, 36, 25887])).
% 9.16/6.65 tff(25889,plain,
% 9.16/6.65 (xuntil6(s74)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25888, 25886])).
% 9.16/6.65 tff(25890,plain,
% 9.16/6.65 (until5(s75)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9842, 25889])).
% 9.16/6.65 tff(25891,plain,
% 9.16/6.65 (~node4(s75)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9846, 22, 25703])).
% 9.16/6.65 tff(25892,plain,
% 9.16/6.65 (xuntil6(s75) | (~until5(s75))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9853, 36, 25891])).
% 9.16/6.65 tff(25893,plain,
% 9.16/6.65 (xuntil6(s75)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25892, 25890])).
% 9.16/6.65 tff(25894,plain,
% 9.16/6.65 (until5(s76)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9859, 25893])).
% 9.16/6.65 tff(25895,plain,
% 9.16/6.65 (~node4(s76)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9863, 22, 25702])).
% 9.16/6.65 tff(25896,plain,
% 9.16/6.65 (xuntil6(s76) | (~until5(s76))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9870, 36, 25895])).
% 9.16/6.65 tff(25897,plain,
% 9.16/6.65 (xuntil6(s76)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25896, 25894])).
% 9.16/6.65 tff(25898,plain,
% 9.16/6.65 (until5(s77)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9876, 25897])).
% 9.16/6.65 tff(25899,plain,
% 9.16/6.65 (~node4(s77)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9880, 22, 25701])).
% 9.16/6.65 tff(25900,plain,
% 9.16/6.65 (xuntil6(s77) | (~until5(s77))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9887, 36, 25899])).
% 9.16/6.65 tff(25901,plain,
% 9.16/6.65 (xuntil6(s77)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25900, 25898])).
% 9.16/6.65 tff(25902,plain,
% 9.16/6.65 (until5(s78)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9893, 25901])).
% 9.16/6.65 tff(25903,plain,
% 9.16/6.65 (~node4(s78)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9897, 22, 25700])).
% 9.16/6.65 tff(25904,plain,
% 9.16/6.65 (xuntil6(s78) | (~until5(s78))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9904, 36, 25903])).
% 9.16/6.65 tff(25905,plain,
% 9.16/6.65 (xuntil6(s78)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25904, 25902])).
% 9.16/6.65 tff(25906,plain,
% 9.16/6.65 (until5(s79)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9910, 25905])).
% 9.16/6.65 tff(25907,plain,
% 9.16/6.65 (~node4(s79)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9914, 22, 25699])).
% 9.16/6.65 tff(25908,plain,
% 9.16/6.65 (xuntil6(s79) | (~until5(s79))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9921, 36, 25907])).
% 9.16/6.65 tff(25909,plain,
% 9.16/6.65 (xuntil6(s79)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25908, 25906])).
% 9.16/6.65 tff(25910,plain,
% 9.16/6.65 (until5(s80)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9927, 25909])).
% 9.16/6.65 tff(25911,plain,
% 9.16/6.65 (~node4(s80)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9931, 22, 25698])).
% 9.16/6.65 tff(25912,plain,
% 9.16/6.65 (xuntil6(s80) | (~until5(s80))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9938, 36, 25911])).
% 9.16/6.65 tff(25913,plain,
% 9.16/6.65 (xuntil6(s80)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25912, 25910])).
% 9.16/6.65 tff(25914,plain,
% 9.16/6.65 (until5(s81)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9944, 25913])).
% 9.16/6.65 tff(25915,plain,
% 9.16/6.65 (~node4(s81)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9948, 22, 25697])).
% 9.16/6.65 tff(25916,plain,
% 9.16/6.65 (xuntil6(s81) | (~until5(s81))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9955, 36, 25915])).
% 9.16/6.65 tff(25917,plain,
% 9.16/6.65 (xuntil6(s81)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25916, 25914])).
% 9.16/6.65 tff(25918,plain,
% 9.16/6.65 (until5(s82)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9961, 25917])).
% 9.16/6.65 tff(25919,plain,
% 9.16/6.65 (~node4(s82)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9965, 22, 25696])).
% 9.16/6.65 tff(25920,plain,
% 9.16/6.65 (xuntil6(s82) | (~until5(s82))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9972, 36, 25919])).
% 9.16/6.65 tff(25921,plain,
% 9.16/6.65 (xuntil6(s82)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25920, 25918])).
% 9.16/6.65 tff(25922,plain,
% 9.16/6.65 (until5(s83)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9978, 25921])).
% 9.16/6.65 tff(25923,plain,
% 9.16/6.65 (~node4(s83)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9982, 22, 25695])).
% 9.16/6.65 tff(25924,plain,
% 9.16/6.65 (xuntil6(s83) | (~until5(s83))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9989, 36, 25923])).
% 9.16/6.65 tff(25925,plain,
% 9.16/6.65 (xuntil6(s83)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25924, 25922])).
% 9.16/6.65 tff(25926,plain,
% 9.16/6.65 (until5(s84)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9995, 25925])).
% 9.16/6.65 tff(25927,plain,
% 9.16/6.65 (~node4(s84)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[9999, 22, 25694])).
% 9.16/6.65 tff(25928,plain,
% 9.16/6.65 (xuntil6(s84) | (~until5(s84))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10006, 36, 25927])).
% 9.16/6.65 tff(25929,plain,
% 9.16/6.65 (xuntil6(s84)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25928, 25926])).
% 9.16/6.65 tff(25930,plain,
% 9.16/6.65 (until5(s85)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10012, 25929])).
% 9.16/6.65 tff(25931,plain,
% 9.16/6.65 (~node4(s85)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10016, 22, 25693])).
% 9.16/6.65 tff(25932,plain,
% 9.16/6.65 (xuntil6(s85) | (~until5(s85))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10023, 36, 25931])).
% 9.16/6.65 tff(25933,plain,
% 9.16/6.65 (xuntil6(s85)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25932, 25930])).
% 9.16/6.65 tff(25934,plain,
% 9.16/6.65 (until5(s86)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10029, 25933])).
% 9.16/6.65 tff(25935,plain,
% 9.16/6.65 (~node4(s86)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10033, 22, 25692])).
% 9.16/6.65 tff(25936,plain,
% 9.16/6.65 (xuntil6(s86) | (~until5(s86))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10040, 36, 25935])).
% 9.16/6.65 tff(25937,plain,
% 9.16/6.65 (xuntil6(s86)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25936, 25934])).
% 9.16/6.65 tff(25938,plain,
% 9.16/6.65 (until5(s87)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10046, 25937])).
% 9.16/6.65 tff(25939,plain,
% 9.16/6.65 (~node4(s87)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10050, 22, 25691])).
% 9.16/6.65 tff(25940,plain,
% 9.16/6.65 (xuntil6(s87) | (~until5(s87))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10057, 36, 25939])).
% 9.16/6.65 tff(25941,plain,
% 9.16/6.65 (xuntil6(s87)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25940, 25938])).
% 9.16/6.65 tff(25942,plain,
% 9.16/6.65 (until5(s88)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10063, 25941])).
% 9.16/6.65 tff(25943,plain,
% 9.16/6.65 (~node4(s88)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10067, 22, 25690])).
% 9.16/6.65 tff(25944,plain,
% 9.16/6.65 (xuntil6(s88) | (~until5(s88))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10074, 36, 25943])).
% 9.16/6.65 tff(25945,plain,
% 9.16/6.65 (xuntil6(s88)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25944, 25942])).
% 9.16/6.65 tff(25946,plain,
% 9.16/6.65 (until5(s89)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10080, 25945])).
% 9.16/6.65 tff(25947,plain,
% 9.16/6.65 (~node4(s89)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10084, 22, 25689])).
% 9.16/6.65 tff(25948,plain,
% 9.16/6.65 (xuntil6(s89) | (~until5(s89))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10091, 36, 25947])).
% 9.16/6.65 tff(25949,plain,
% 9.16/6.65 (xuntil6(s89)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25948, 25946])).
% 9.16/6.65 tff(25950,plain,
% 9.16/6.65 (until5(s90)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10097, 25949])).
% 9.16/6.65 tff(25951,plain,
% 9.16/6.65 (~node4(s90)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10101, 22, 25688])).
% 9.16/6.65 tff(25952,plain,
% 9.16/6.65 (xuntil6(s90) | (~until5(s90))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10108, 36, 25951])).
% 9.16/6.65 tff(25953,plain,
% 9.16/6.65 (xuntil6(s90)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25952, 25950])).
% 9.16/6.65 tff(25954,plain,
% 9.16/6.65 (until5(s91)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10114, 25953])).
% 9.16/6.65 tff(25955,plain,
% 9.16/6.65 (~node4(s91)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10118, 22, 25687])).
% 9.16/6.65 tff(25956,plain,
% 9.16/6.65 (xuntil6(s91) | (~until5(s91))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10125, 36, 25955])).
% 9.16/6.65 tff(25957,plain,
% 9.16/6.65 (xuntil6(s91)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25956, 25954])).
% 9.16/6.65 tff(25958,plain,
% 9.16/6.65 (until5(s92)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10131, 25957])).
% 9.16/6.65 tff(25959,plain,
% 9.16/6.65 (~node4(s92)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10135, 22, 25686])).
% 9.16/6.65 tff(25960,plain,
% 9.16/6.65 (xuntil6(s92) | (~until5(s92))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10142, 36, 25959])).
% 9.16/6.65 tff(25961,plain,
% 9.16/6.65 (xuntil6(s92)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25960, 25958])).
% 9.16/6.65 tff(25962,plain,
% 9.16/6.65 (until5(s93)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10148, 25961])).
% 9.16/6.65 tff(25963,plain,
% 9.16/6.65 (~node4(s93)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10152, 22, 25685])).
% 9.16/6.65 tff(25964,plain,
% 9.16/6.65 (xuntil6(s93) | (~until5(s93))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10159, 36, 25963])).
% 9.16/6.65 tff(25965,plain,
% 9.16/6.65 (xuntil6(s93)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25964, 25962])).
% 9.16/6.65 tff(25966,plain,
% 9.16/6.65 (until5(s94)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10165, 25965])).
% 9.16/6.65 tff(25967,plain,
% 9.16/6.65 (~node4(s94)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10169, 22, 25684])).
% 9.16/6.65 tff(25968,plain,
% 9.16/6.65 (xuntil6(s94) | (~until5(s94))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10176, 36, 25967])).
% 9.16/6.65 tff(25969,plain,
% 9.16/6.65 (xuntil6(s94)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25968, 25966])).
% 9.16/6.65 tff(25970,plain,
% 9.16/6.65 (until5(s95)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10182, 25969])).
% 9.16/6.65 tff(25971,plain,
% 9.16/6.65 (~node4(s95)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10186, 22, 25683])).
% 9.16/6.65 tff(25972,plain,
% 9.16/6.65 (xuntil6(s95) | (~until5(s95))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10193, 36, 25971])).
% 9.16/6.65 tff(25973,plain,
% 9.16/6.65 (xuntil6(s95)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25972, 25970])).
% 9.16/6.65 tff(25974,plain,
% 9.16/6.65 (until5(s96)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10199, 25973])).
% 9.16/6.65 tff(25975,plain,
% 9.16/6.65 (~node4(s96)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10203, 22, 25682])).
% 9.16/6.65 tff(25976,plain,
% 9.16/6.65 (xuntil6(s96) | (~until5(s96))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10210, 36, 25975])).
% 9.16/6.65 tff(25977,plain,
% 9.16/6.65 (xuntil6(s96)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25976, 25974])).
% 9.16/6.65 tff(25978,plain,
% 9.16/6.65 (until5(s97)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10216, 25977])).
% 9.16/6.65 tff(25979,plain,
% 9.16/6.65 (~node4(s97)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10220, 22, 25681])).
% 9.16/6.65 tff(25980,plain,
% 9.16/6.65 (xuntil6(s97) | (~until5(s97))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10227, 36, 25979])).
% 9.16/6.65 tff(25981,plain,
% 9.16/6.65 (xuntil6(s97)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25980, 25978])).
% 9.16/6.65 tff(25982,plain,
% 9.16/6.65 (until5(s98)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10233, 25981])).
% 9.16/6.65 tff(25983,plain,
% 9.16/6.65 (~node4(s98)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10237, 22, 25680])).
% 9.16/6.65 tff(25984,plain,
% 9.16/6.65 (xuntil6(s98) | (~until5(s98))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10244, 36, 25983])).
% 9.16/6.65 tff(25985,plain,
% 9.16/6.65 (xuntil6(s98)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25984, 25982])).
% 9.16/6.65 tff(25986,plain,
% 9.16/6.65 (until5(s99)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10250, 25985])).
% 9.16/6.65 tff(25987,plain,
% 9.16/6.65 (~node4(s99)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10254, 22, 25679])).
% 9.16/6.65 tff(25988,plain,
% 9.16/6.65 (xuntil6(s99) | (~until5(s99))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10261, 36, 25987])).
% 9.16/6.65 tff(25989,plain,
% 9.16/6.65 (xuntil6(s99)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25988, 25986])).
% 9.16/6.65 tff(25990,plain,
% 9.16/6.65 (until5(s100)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10267, 25989])).
% 9.16/6.65 tff(25991,plain,
% 9.16/6.65 (~node4(s100)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10271, 22, 25678])).
% 9.16/6.65 tff(25992,plain,
% 9.16/6.65 (xuntil6(s100) | (~until5(s100))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10278, 36, 25991])).
% 9.16/6.65 tff(25993,plain,
% 9.16/6.65 (xuntil6(s100)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25992, 25990])).
% 9.16/6.65 tff(25994,plain,
% 9.16/6.65 (until5(s101)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10284, 25993])).
% 9.16/6.65 tff(25995,plain,
% 9.16/6.65 (~node4(s101)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10288, 22, 25677])).
% 9.16/6.65 tff(25996,plain,
% 9.16/6.65 (xuntil6(s101) | (~until5(s101))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[10295, 36, 25995])).
% 9.16/6.65 tff(25997,plain,
% 9.16/6.65 ($false),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25996, 25994, 25676])).
% 9.16/6.65 tff(25998,plain,(always3(s164) | xuntil6(s164)), inference(lemma,lemma(discharge,[]))).
% 9.16/6.65 tff(25999,plain,
% 9.16/6.65 (always3(s164)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[25998, 25362])).
% 9.16/6.65 tff(26000,plain,
% 9.16/6.65 (always3(s165)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[7811, 25999])).
% 9.16/6.65 tff(26001,plain,
% 9.16/6.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s165)) | (~m_main_v_state(s165, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s165)) | (~m_main_v_state(s165, c_busy)))),
% 9.16/6.65 inference(rewrite,[status(thm)],[])).
% 9.16/6.65 tff(26002,plain,
% 9.16/6.65 (((~m_main_v_state(s165, c_busy)) | (~always3(s165))) <=> ((~always3(s165)) | (~m_main_v_state(s165, c_busy)))),
% 9.16/6.65 inference(rewrite,[status(thm)],[])).
% 9.16/6.65 tff(26003,plain,
% 9.16/6.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s165, c_busy)) | (~always3(s165)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s165)) | (~m_main_v_state(s165, c_busy))))),
% 9.16/6.65 inference(monotonicity,[status(thm)],[26002])).
% 9.16/6.65 tff(26004,plain,
% 9.16/6.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s165, c_busy)) | (~always3(s165)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s165)) | (~m_main_v_state(s165, c_busy)))),
% 9.16/6.65 inference(transitivity,[status(thm)],[26003, 26001])).
% 9.16/6.65 tff(26005,plain,
% 9.16/6.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s165, c_busy)) | (~always3(s165)))),
% 9.16/6.65 inference(quant_inst,[status(thm)],[])).
% 9.16/6.65 tff(26006,plain,
% 9.16/6.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s165)) | (~m_main_v_state(s165, c_busy))),
% 9.16/6.65 inference(modus_ponens,[status(thm)],[26005, 26004])).
% 9.16/6.65 tff(26007,plain,
% 9.16/6.65 (~m_main_v_state(s165, c_busy)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[26006, 170, 26000])).
% 9.16/6.65 tff(26008,plain,
% 9.16/6.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s164)) | (~m_main_v_state(s164, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s164)) | (~m_main_v_state(s164, c_busy)))),
% 9.16/6.65 inference(rewrite,[status(thm)],[])).
% 9.16/6.65 tff(26009,plain,
% 9.16/6.65 (((~m_main_v_state(s164, c_busy)) | (~always3(s164))) <=> ((~always3(s164)) | (~m_main_v_state(s164, c_busy)))),
% 9.16/6.65 inference(rewrite,[status(thm)],[])).
% 9.16/6.65 tff(26010,plain,
% 9.16/6.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s164, c_busy)) | (~always3(s164)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s164)) | (~m_main_v_state(s164, c_busy))))),
% 9.16/6.65 inference(monotonicity,[status(thm)],[26009])).
% 9.16/6.65 tff(26011,plain,
% 9.16/6.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s164, c_busy)) | (~always3(s164)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s164)) | (~m_main_v_state(s164, c_busy)))),
% 9.16/6.65 inference(transitivity,[status(thm)],[26010, 26008])).
% 9.16/6.65 tff(26012,plain,
% 9.16/6.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s164, c_busy)) | (~always3(s164)))),
% 9.16/6.65 inference(quant_inst,[status(thm)],[])).
% 9.16/6.65 tff(26013,plain,
% 9.16/6.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s164)) | (~m_main_v_state(s164, c_busy))),
% 9.16/6.65 inference(modus_ponens,[status(thm)],[26012, 26011])).
% 9.16/6.65 tff(26014,plain,
% 9.16/6.65 (~m_main_v_state(s164, c_busy)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[26013, 170, 25999])).
% 9.16/6.65 tff(26015,plain,
% 9.16/6.65 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s164, c_busy) | m_main_v_state(s164, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s164, c_busy) | m_main_v_state(s164, c_ready))),
% 9.16/6.65 inference(rewrite,[status(thm)],[])).
% 9.16/6.65 tff(26016,plain,
% 9.16/6.65 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s164, c_busy) | m_main_v_state(s164, c_ready))),
% 9.16/6.65 inference(quant_inst,[status(thm)],[])).
% 9.16/6.65 tff(26017,plain,
% 9.16/6.65 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s164, c_busy) | m_main_v_state(s164, c_ready)),
% 9.16/6.65 inference(modus_ponens,[status(thm)],[26016, 26015])).
% 9.16/6.65 tff(26018,plain,
% 9.16/6.65 (m_main_v_state(s164, c_ready)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[26017, 213, 26014])).
% 9.16/6.65 tff(26019,assumption,(until5(s152)), introduced(assumption)).
% 9.16/6.65 tff(26020,assumption,(~xuntil6(s163)), introduced(assumption)).
% 9.16/6.65 tff(26021,assumption,(~always3(s163)), introduced(assumption)).
% 9.16/6.65 tff(26022,plain,
% 9.16/6.65 (~always3(s162)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[7869, 26021])).
% 9.16/6.65 tff(26023,plain,
% 9.16/6.65 (~always3(s161)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[7898, 26022])).
% 9.16/6.65 tff(26024,plain,
% 9.16/6.65 (~always3(s160)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[7927, 26023])).
% 9.16/6.65 tff(26025,plain,
% 9.16/6.65 (~always3(s159)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[7956, 26024])).
% 9.16/6.65 tff(26026,plain,
% 9.16/6.65 (~always3(s158)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[7985, 26025])).
% 9.16/6.65 tff(26027,plain,
% 9.16/6.65 (~always3(s157)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8014, 26026])).
% 9.16/6.65 tff(26028,plain,
% 9.16/6.65 (~always3(s156)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8043, 26027])).
% 9.16/6.65 tff(26029,plain,
% 9.16/6.65 (~always3(s155)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8072, 26028])).
% 9.16/6.65 tff(26030,plain,
% 9.16/6.65 (~always3(s154)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8101, 26029])).
% 9.16/6.65 tff(26031,plain,
% 9.16/6.65 (~always3(s153)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8130, 26030])).
% 9.16/6.65 tff(26032,plain,
% 9.16/6.65 (~node4(s153)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8134, 22, 26031])).
% 9.16/6.65 tff(26033,plain,
% 9.16/6.65 (~always3(s152)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8159, 26031])).
% 9.16/6.65 tff(26034,plain,
% 9.16/6.65 (~node4(s152)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8163, 22, 26033])).
% 9.16/6.65 tff(26035,plain,
% 9.16/6.65 (xuntil6(s152) | node4(s152)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8170, 36, 26019])).
% 9.16/6.65 tff(26036,plain,
% 9.16/6.65 (xuntil6(s152)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[26035, 26034])).
% 9.16/6.65 tff(26037,plain,
% 9.16/6.65 (until5(s153)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8150, 26036])).
% 9.16/6.65 tff(26038,plain,
% 9.16/6.65 (xuntil6(s153)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8141, 36, 26037, 26032])).
% 9.16/6.65 tff(26039,plain,
% 9.16/6.65 (until5(s154)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8121, 26038])).
% 9.16/6.65 tff(26040,plain,
% 9.16/6.65 (~node4(s154)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8105, 22, 26030])).
% 9.16/6.65 tff(26041,plain,
% 9.16/6.65 (xuntil6(s154) | (~until5(s154))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8112, 36, 26040])).
% 9.16/6.65 tff(26042,plain,
% 9.16/6.65 (xuntil6(s154)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[26041, 26039])).
% 9.16/6.65 tff(26043,plain,
% 9.16/6.65 (until5(s155)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8092, 26042])).
% 9.16/6.65 tff(26044,plain,
% 9.16/6.65 (~node4(s155)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8076, 22, 26029])).
% 9.16/6.65 tff(26045,plain,
% 9.16/6.65 (xuntil6(s155) | (~until5(s155))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8083, 36, 26044])).
% 9.16/6.65 tff(26046,plain,
% 9.16/6.65 (xuntil6(s155)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[26045, 26043])).
% 9.16/6.65 tff(26047,plain,
% 9.16/6.65 (until5(s156)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8063, 26046])).
% 9.16/6.65 tff(26048,plain,
% 9.16/6.65 (~node4(s156)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8047, 22, 26028])).
% 9.16/6.65 tff(26049,plain,
% 9.16/6.65 (xuntil6(s156) | (~until5(s156))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8054, 36, 26048])).
% 9.16/6.65 tff(26050,plain,
% 9.16/6.65 (xuntil6(s156)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[26049, 26047])).
% 9.16/6.65 tff(26051,plain,
% 9.16/6.65 (until5(s157)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8034, 26050])).
% 9.16/6.65 tff(26052,plain,
% 9.16/6.65 (~node4(s157)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8018, 22, 26027])).
% 9.16/6.65 tff(26053,plain,
% 9.16/6.65 (xuntil6(s157) | (~until5(s157))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8025, 36, 26052])).
% 9.16/6.65 tff(26054,plain,
% 9.16/6.65 (xuntil6(s157)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[26053, 26051])).
% 9.16/6.65 tff(26055,plain,
% 9.16/6.65 (until5(s158)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[8005, 26054])).
% 9.16/6.65 tff(26056,plain,
% 9.16/6.65 (~node4(s158)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[7989, 22, 26026])).
% 9.16/6.65 tff(26057,plain,
% 9.16/6.65 (xuntil6(s158) | (~until5(s158))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[7996, 36, 26056])).
% 9.16/6.65 tff(26058,plain,
% 9.16/6.65 (xuntil6(s158)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[26057, 26055])).
% 9.16/6.65 tff(26059,plain,
% 9.16/6.65 (until5(s159)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[7976, 26058])).
% 9.16/6.65 tff(26060,plain,
% 9.16/6.65 (~node4(s159)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[7960, 22, 26025])).
% 9.16/6.65 tff(26061,plain,
% 9.16/6.65 (xuntil6(s159) | (~until5(s159))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[7967, 36, 26060])).
% 9.16/6.65 tff(26062,plain,
% 9.16/6.65 (xuntil6(s159)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[26061, 26059])).
% 9.16/6.65 tff(26063,plain,
% 9.16/6.65 (until5(s160)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[7947, 26062])).
% 9.16/6.65 tff(26064,plain,
% 9.16/6.65 (~node4(s160)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[7931, 22, 26024])).
% 9.16/6.65 tff(26065,plain,
% 9.16/6.65 (xuntil6(s160) | (~until5(s160))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[7938, 36, 26064])).
% 9.16/6.65 tff(26066,plain,
% 9.16/6.65 (xuntil6(s160)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[26065, 26063])).
% 9.16/6.65 tff(26067,plain,
% 9.16/6.65 (until5(s161)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[7918, 26066])).
% 9.16/6.65 tff(26068,plain,
% 9.16/6.65 (~node4(s161)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[7902, 22, 26023])).
% 9.16/6.65 tff(26069,plain,
% 9.16/6.65 (xuntil6(s161) | (~until5(s161))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[7909, 36, 26068])).
% 9.16/6.65 tff(26070,plain,
% 9.16/6.65 (xuntil6(s161)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[26069, 26067])).
% 9.16/6.65 tff(26071,plain,
% 9.16/6.65 (until5(s162)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[7889, 26070])).
% 9.16/6.65 tff(26072,plain,
% 9.16/6.65 (~node4(s162)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[7873, 22, 26022])).
% 9.16/6.65 tff(26073,plain,
% 9.16/6.65 (xuntil6(s162) | (~until5(s162))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[7880, 36, 26072])).
% 9.16/6.65 tff(26074,plain,
% 9.16/6.65 (xuntil6(s162)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[26073, 26071])).
% 9.16/6.65 tff(26075,plain,
% 9.16/6.65 (until5(s163)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[7860, 26074])).
% 9.16/6.65 tff(26076,plain,
% 9.16/6.65 (node4(s163) | (~until5(s163))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[7851, 36, 26020])).
% 9.16/6.65 tff(26077,plain,
% 9.16/6.65 (node4(s163)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[26076, 26075])).
% 9.16/6.65 tff(26078,plain,
% 9.16/6.65 ($false),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[7844, 22, 26021, 26077])).
% 9.16/6.65 tff(26079,plain,(always3(s163) | xuntil6(s163) | (~until5(s152))), inference(lemma,lemma(discharge,[]))).
% 9.16/6.65 tff(26080,plain,
% 9.16/6.65 (always3(s163)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[26079, 26019, 26020])).
% 9.16/6.65 tff(26081,plain,
% 9.16/6.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s163)) | (~m_main_v_state(s163, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s163)) | (~m_main_v_state(s163, c_busy)))),
% 9.16/6.65 inference(rewrite,[status(thm)],[])).
% 9.16/6.65 tff(26082,plain,
% 9.16/6.65 (((~m_main_v_state(s163, c_busy)) | (~always3(s163))) <=> ((~always3(s163)) | (~m_main_v_state(s163, c_busy)))),
% 9.16/6.65 inference(rewrite,[status(thm)],[])).
% 9.16/6.65 tff(26083,plain,
% 9.16/6.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s163, c_busy)) | (~always3(s163)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s163)) | (~m_main_v_state(s163, c_busy))))),
% 9.16/6.65 inference(monotonicity,[status(thm)],[26082])).
% 9.16/6.65 tff(26084,plain,
% 9.16/6.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s163, c_busy)) | (~always3(s163)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s163)) | (~m_main_v_state(s163, c_busy)))),
% 9.16/6.65 inference(transitivity,[status(thm)],[26083, 26081])).
% 9.16/6.65 tff(26085,plain,
% 9.16/6.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s163, c_busy)) | (~always3(s163)))),
% 9.16/6.65 inference(quant_inst,[status(thm)],[])).
% 9.16/6.65 tff(26086,plain,
% 9.16/6.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s163)) | (~m_main_v_state(s163, c_busy))),
% 9.16/6.65 inference(modus_ponens,[status(thm)],[26085, 26084])).
% 9.16/6.65 tff(26087,plain,
% 9.16/6.65 (~m_main_v_state(s163, c_busy)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[26086, 170, 26080])).
% 9.16/6.65 tff(26088,assumption,(~m_main_v_state(s163, c_busy)), introduced(assumption)).
% 9.16/6.65 tff(26089,assumption,(node4(s162)), introduced(assumption)).
% 9.16/6.65 tff(26090,plain,
% 9.16/6.65 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s162) | (~node4(s162)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s162) | (~node4(s162)))),
% 9.16/6.65 inference(rewrite,[status(thm)],[])).
% 9.16/6.65 tff(26091,plain,
% 9.16/6.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s162) | (~node4(s162)))),
% 9.16/6.65 inference(quant_inst,[status(thm)],[])).
% 9.16/6.65 tff(26092,plain,
% 9.16/6.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s162) | (~node4(s162))),
% 9.16/6.65 inference(modus_ponens,[status(thm)],[26091, 26090])).
% 9.16/6.65 tff(26093,plain,
% 9.16/6.65 (m_main_v_request(s162)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[26092, 154, 26089])).
% 9.16/6.65 tff(26094,plain,
% 9.16/6.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s162, s163)) | node2(s162, s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s162, s163)) | node2(s162, s163))),
% 9.16/6.65 inference(rewrite,[status(thm)],[])).
% 9.16/6.65 tff(26095,plain,
% 9.16/6.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s162, s163)) | node2(s162, s163))),
% 9.16/6.65 inference(quant_inst,[status(thm)],[])).
% 9.16/6.65 tff(26096,plain,
% 9.16/6.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s162, s163)) | node2(s162, s163)),
% 9.16/6.65 inference(modus_ponens,[status(thm)],[26095, 26094])).
% 9.16/6.65 tff(26097,plain,
% 9.16/6.65 (node2(s162, s163)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[26096, 7, 7865])).
% 9.16/6.65 tff(26098,plain,
% 9.16/6.65 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s162, c_ready)) | (~node2(s162, s163)) | m_main_v_state(s163, c_busy) | (~m_main_v_request(s162)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s162, c_ready)) | (~node2(s162, s163)) | m_main_v_state(s163, c_busy) | (~m_main_v_request(s162)))),
% 9.16/6.65 inference(rewrite,[status(thm)],[])).
% 9.16/6.65 tff(26099,plain,
% 9.16/6.65 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s162, c_ready)) | (~node2(s162, s163)) | m_main_v_state(s163, c_busy) | (~m_main_v_request(s162)))),
% 9.16/6.65 inference(quant_inst,[status(thm)],[])).
% 9.16/6.65 tff(26100,plain,
% 9.16/6.65 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s162, c_ready)) | (~node2(s162, s163)) | m_main_v_state(s163, c_busy) | (~m_main_v_request(s162))),
% 9.16/6.65 inference(modus_ponens,[status(thm)],[26099, 26098])).
% 9.16/6.65 tff(26101,plain,
% 9.16/6.65 ((~m_main_v_state(s162, c_ready)) | m_main_v_state(s163, c_busy) | (~m_main_v_request(s162))),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[26100, 191, 26097])).
% 9.16/6.65 tff(26102,plain,
% 9.16/6.65 (~m_main_v_state(s162, c_ready)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[26101, 26093, 26088])).
% 9.16/6.65 tff(26103,plain,
% 9.16/6.65 (always3(s162)),
% 9.16/6.65 inference(unit_resolution,[status(thm)],[7873, 22, 26089])).
% 9.16/6.65 tff(26104,plain,
% 9.16/6.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s162)) | (~m_main_v_state(s162, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s162)) | (~m_main_v_state(s162, c_busy)))),
% 9.16/6.65 inference(rewrite,[status(thm)],[])).
% 9.16/6.65 tff(26105,plain,
% 9.16/6.65 (((~m_main_v_state(s162, c_busy)) | (~always3(s162))) <=> ((~always3(s162)) | (~m_main_v_state(s162, c_busy)))),
% 9.16/6.65 inference(rewrite,[status(thm)],[])).
% 9.16/6.65 tff(26106,plain,
% 9.16/6.65 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s162, c_busy)) | (~always3(s162)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s162)) | (~m_main_v_state(s162, c_busy))))),
% 9.16/6.66 inference(monotonicity,[status(thm)],[26105])).
% 9.16/6.66 tff(26107,plain,
% 9.16/6.66 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s162, c_busy)) | (~always3(s162)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s162)) | (~m_main_v_state(s162, c_busy)))),
% 9.16/6.66 inference(transitivity,[status(thm)],[26106, 26104])).
% 9.16/6.66 tff(26108,plain,
% 9.16/6.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s162, c_busy)) | (~always3(s162)))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26109,plain,
% 9.16/6.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s162)) | (~m_main_v_state(s162, c_busy))),
% 9.16/6.66 inference(modus_ponens,[status(thm)],[26108, 26107])).
% 9.16/6.66 tff(26110,plain,
% 9.16/6.66 (~m_main_v_state(s162, c_busy)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26109, 170, 26103])).
% 9.16/6.66 tff(26111,plain,
% 9.16/6.66 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s162, c_busy) | m_main_v_state(s162, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s162, c_busy) | m_main_v_state(s162, c_ready))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26112,plain,
% 9.16/6.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s162, c_busy) | m_main_v_state(s162, c_ready))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26113,plain,
% 9.16/6.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s162, c_busy) | m_main_v_state(s162, c_ready)),
% 9.16/6.66 inference(modus_ponens,[status(thm)],[26112, 26111])).
% 9.16/6.66 tff(26114,plain,
% 9.16/6.66 ($false),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26113, 213, 26110, 26102])).
% 9.16/6.66 tff(26115,plain,((~node4(s162)) | m_main_v_state(s163, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.16/6.66 tff(26116,plain,
% 9.16/6.66 (~node4(s162)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26115, 26087])).
% 9.16/6.66 tff(26117,assumption,(~m_main_v_state(s164, c_busy)), introduced(assumption)).
% 9.16/6.66 tff(26118,plain,
% 9.16/6.66 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s163, c_busy) | m_main_v_state(s163, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s163, c_busy) | m_main_v_state(s163, c_ready))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26119,plain,
% 9.16/6.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s163, c_busy) | m_main_v_state(s163, c_ready))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26120,plain,
% 9.16/6.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s163, c_busy) | m_main_v_state(s163, c_ready)),
% 9.16/6.66 inference(modus_ponens,[status(thm)],[26119, 26118])).
% 9.16/6.66 tff(26121,plain,
% 9.16/6.66 (m_main_v_state(s163, c_ready)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26120, 213, 26087])).
% 9.16/6.66 tff(26122,plain,
% 9.16/6.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s163, s164)) | node2(s163, s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s163, s164)) | node2(s163, s164))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26123,plain,
% 9.16/6.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s163, s164)) | node2(s163, s164))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26124,plain,
% 9.16/6.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s163, s164)) | node2(s163, s164)),
% 9.16/6.66 inference(modus_ponens,[status(thm)],[26123, 26122])).
% 9.16/6.66 tff(26125,plain,
% 9.16/6.66 (node2(s163, s164)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26124, 7, 7836])).
% 9.16/6.66 tff(26126,plain,
% 9.16/6.66 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s163, c_ready)) | (~node2(s163, s164)) | m_main_v_state(s164, c_busy) | (~m_main_v_request(s163)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s163, c_ready)) | (~node2(s163, s164)) | m_main_v_state(s164, c_busy) | (~m_main_v_request(s163)))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26127,plain,
% 9.16/6.66 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s163, c_ready)) | (~node2(s163, s164)) | m_main_v_state(s164, c_busy) | (~m_main_v_request(s163)))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26128,plain,
% 9.16/6.66 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s163, c_ready)) | (~node2(s163, s164)) | m_main_v_state(s164, c_busy) | (~m_main_v_request(s163))),
% 9.16/6.66 inference(modus_ponens,[status(thm)],[26127, 26126])).
% 9.16/6.66 tff(26129,plain,
% 9.16/6.66 ((~m_main_v_state(s163, c_ready)) | m_main_v_state(s164, c_busy) | (~m_main_v_request(s163))),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26128, 191, 26125])).
% 9.16/6.66 tff(26130,plain,
% 9.16/6.66 (~m_main_v_request(s163)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26129, 26121, 26117])).
% 9.16/6.66 tff(26131,plain,
% 9.16/6.66 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s163) | (~node4(s163)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s163) | (~node4(s163)))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26132,plain,
% 9.16/6.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s163) | (~node4(s163)))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26133,plain,
% 9.16/6.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s163) | (~node4(s163))),
% 9.16/6.66 inference(modus_ponens,[status(thm)],[26132, 26131])).
% 9.16/6.66 tff(26134,plain,
% 9.16/6.66 (~node4(s163)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26133, 154, 26130])).
% 9.16/6.66 tff(26135,plain,
% 9.16/6.66 (~until5(s163)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26076, 26134])).
% 9.16/6.66 tff(26136,plain,
% 9.16/6.66 (~xuntil6(s162)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7860, 26135])).
% 9.16/6.66 tff(26137,plain,
% 9.16/6.66 (node4(s162) | (~until5(s162))),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7880, 36, 26136])).
% 9.16/6.66 tff(26138,plain,
% 9.16/6.66 (~until5(s162)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26137, 26116])).
% 9.16/6.66 tff(26139,plain,
% 9.16/6.66 (~xuntil6(s161)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7889, 26138])).
% 9.16/6.66 tff(26140,assumption,(~always3(s161)), introduced(assumption)).
% 9.16/6.66 tff(26141,plain,
% 9.16/6.66 (~always3(s160)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7927, 26140])).
% 9.16/6.66 tff(26142,plain,
% 9.16/6.66 (~node4(s160)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7931, 22, 26141])).
% 9.16/6.66 tff(26143,plain,
% 9.16/6.66 (~node4(s161)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7902, 22, 26140])).
% 9.16/6.66 tff(26144,assumption,(~xuntil6(s161)), introduced(assumption)).
% 9.16/6.66 tff(26145,plain,
% 9.16/6.66 (node4(s161) | (~until5(s161))),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7909, 36, 26144])).
% 9.16/6.66 tff(26146,plain,
% 9.16/6.66 (~until5(s161)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26145, 26143])).
% 9.16/6.66 tff(26147,plain,
% 9.16/6.66 (~xuntil6(s160)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7918, 26146])).
% 9.16/6.66 tff(26148,plain,
% 9.16/6.66 (~until5(s160)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7938, 36, 26147, 26142])).
% 9.16/6.66 tff(26149,plain,
% 9.16/6.66 (~xuntil6(s159)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7947, 26148])).
% 9.16/6.66 tff(26150,plain,
% 9.16/6.66 (~always3(s159)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7956, 26141])).
% 9.16/6.66 tff(26151,plain,
% 9.16/6.66 (~node4(s159)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7960, 22, 26150])).
% 9.16/6.66 tff(26152,plain,
% 9.16/6.66 (xuntil6(s159) | (~until5(s159))),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7967, 36, 26151])).
% 9.16/6.66 tff(26153,plain,
% 9.16/6.66 (~until5(s159)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26152, 26149])).
% 9.16/6.66 tff(26154,plain,
% 9.16/6.66 (~xuntil6(s158)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7976, 26153])).
% 9.16/6.66 tff(26155,plain,
% 9.16/6.66 (~always3(s158)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7985, 26150])).
% 9.16/6.66 tff(26156,plain,
% 9.16/6.66 (~node4(s158)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7989, 22, 26155])).
% 9.16/6.66 tff(26157,plain,
% 9.16/6.66 (xuntil6(s158) | (~until5(s158))),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7996, 36, 26156])).
% 9.16/6.66 tff(26158,plain,
% 9.16/6.66 (~until5(s158)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26157, 26154])).
% 9.16/6.66 tff(26159,plain,
% 9.16/6.66 (~xuntil6(s157)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8005, 26158])).
% 9.16/6.66 tff(26160,plain,
% 9.16/6.66 (~always3(s157)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8014, 26155])).
% 9.16/6.66 tff(26161,plain,
% 9.16/6.66 (~node4(s157)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8018, 22, 26160])).
% 9.16/6.66 tff(26162,plain,
% 9.16/6.66 (xuntil6(s157) | (~until5(s157))),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8025, 36, 26161])).
% 9.16/6.66 tff(26163,plain,
% 9.16/6.66 (~until5(s157)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26162, 26159])).
% 9.16/6.66 tff(26164,plain,
% 9.16/6.66 (~always3(s156)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8043, 26160])).
% 9.16/6.66 tff(26165,plain,
% 9.16/6.66 (~always3(s155)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8072, 26164])).
% 9.16/6.66 tff(26166,plain,
% 9.16/6.66 (~always3(s154)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8101, 26165])).
% 9.16/6.66 tff(26167,plain,
% 9.16/6.66 (~always3(s153)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8130, 26166])).
% 9.16/6.66 tff(26168,plain,
% 9.16/6.66 (~node4(s153)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8134, 22, 26167])).
% 9.16/6.66 tff(26169,plain,
% 9.16/6.66 (~always3(s152)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8159, 26167])).
% 9.16/6.66 tff(26170,plain,
% 9.16/6.66 (~node4(s152)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8163, 22, 26169])).
% 9.16/6.66 tff(26171,plain,
% 9.16/6.66 (xuntil6(s152)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26035, 26170])).
% 9.16/6.66 tff(26172,plain,
% 9.16/6.66 (until5(s153)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8150, 26171])).
% 9.16/6.66 tff(26173,plain,
% 9.16/6.66 (xuntil6(s153)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8141, 36, 26172, 26168])).
% 9.16/6.66 tff(26174,plain,
% 9.16/6.66 (until5(s154)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8121, 26173])).
% 9.16/6.66 tff(26175,plain,
% 9.16/6.66 (~node4(s154)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8105, 22, 26166])).
% 9.16/6.66 tff(26176,plain,
% 9.16/6.66 (xuntil6(s154) | (~until5(s154))),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8112, 36, 26175])).
% 9.16/6.66 tff(26177,plain,
% 9.16/6.66 (xuntil6(s154)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26176, 26174])).
% 9.16/6.66 tff(26178,plain,
% 9.16/6.66 (until5(s155)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8092, 26177])).
% 9.16/6.66 tff(26179,plain,
% 9.16/6.66 (~node4(s155)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8076, 22, 26165])).
% 9.16/6.66 tff(26180,plain,
% 9.16/6.66 (xuntil6(s155) | (~until5(s155))),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8083, 36, 26179])).
% 9.16/6.66 tff(26181,plain,
% 9.16/6.66 (xuntil6(s155)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26180, 26178])).
% 9.16/6.66 tff(26182,plain,
% 9.16/6.66 (until5(s156)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8063, 26181])).
% 9.16/6.66 tff(26183,plain,
% 9.16/6.66 (~node4(s156)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8047, 22, 26164])).
% 9.16/6.66 tff(26184,plain,
% 9.16/6.66 (xuntil6(s156) | (~until5(s156))),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8054, 36, 26183])).
% 9.16/6.66 tff(26185,plain,
% 9.16/6.66 (xuntil6(s156)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26184, 26182])).
% 9.16/6.66 tff(26186,plain,
% 9.16/6.66 ($false),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8034, 26185, 26163])).
% 9.16/6.66 tff(26187,plain,(always3(s161) | (~until5(s152)) | xuntil6(s161)), inference(lemma,lemma(discharge,[]))).
% 9.16/6.66 tff(26188,plain,
% 9.16/6.66 (always3(s161)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26187, 26019, 26139])).
% 9.16/6.66 tff(26189,plain,
% 9.16/6.66 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s161)) | (~m_main_v_state(s161, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s161)) | (~m_main_v_state(s161, c_busy)))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26190,plain,
% 9.16/6.66 (((~m_main_v_state(s161, c_busy)) | (~always3(s161))) <=> ((~always3(s161)) | (~m_main_v_state(s161, c_busy)))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26191,plain,
% 9.16/6.66 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s161, c_busy)) | (~always3(s161)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s161)) | (~m_main_v_state(s161, c_busy))))),
% 9.16/6.66 inference(monotonicity,[status(thm)],[26190])).
% 9.16/6.66 tff(26192,plain,
% 9.16/6.66 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s161, c_busy)) | (~always3(s161)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s161)) | (~m_main_v_state(s161, c_busy)))),
% 9.16/6.66 inference(transitivity,[status(thm)],[26191, 26189])).
% 9.16/6.66 tff(26193,plain,
% 9.16/6.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s161, c_busy)) | (~always3(s161)))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26194,plain,
% 9.16/6.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s161)) | (~m_main_v_state(s161, c_busy))),
% 9.16/6.66 inference(modus_ponens,[status(thm)],[26193, 26192])).
% 9.16/6.66 tff(26195,plain,
% 9.16/6.66 (~m_main_v_state(s161, c_busy)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26194, 170, 26188])).
% 9.16/6.66 tff(26196,assumption,(~m_main_v_state(s161, c_busy)), introduced(assumption)).
% 9.16/6.66 tff(26197,assumption,(node4(s160)), introduced(assumption)).
% 9.16/6.66 tff(26198,plain,
% 9.16/6.66 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s160) | (~node4(s160)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s160) | (~node4(s160)))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26199,plain,
% 9.16/6.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s160) | (~node4(s160)))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26200,plain,
% 9.16/6.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s160) | (~node4(s160))),
% 9.16/6.66 inference(modus_ponens,[status(thm)],[26199, 26198])).
% 9.16/6.66 tff(26201,plain,
% 9.16/6.66 (m_main_v_request(s160)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26200, 154, 26197])).
% 9.16/6.66 tff(26202,plain,
% 9.16/6.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s160, s161)) | node2(s160, s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s160, s161)) | node2(s160, s161))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26203,plain,
% 9.16/6.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s160, s161)) | node2(s160, s161))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26204,plain,
% 9.16/6.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s160, s161)) | node2(s160, s161)),
% 9.16/6.66 inference(modus_ponens,[status(thm)],[26203, 26202])).
% 9.16/6.66 tff(26205,plain,
% 9.16/6.66 (node2(s160, s161)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26204, 7, 7923])).
% 9.16/6.66 tff(26206,plain,
% 9.16/6.66 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s160, c_ready)) | (~node2(s160, s161)) | m_main_v_state(s161, c_busy) | (~m_main_v_request(s160)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s160, c_ready)) | (~node2(s160, s161)) | m_main_v_state(s161, c_busy) | (~m_main_v_request(s160)))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26207,plain,
% 9.16/6.66 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s160, c_ready)) | (~node2(s160, s161)) | m_main_v_state(s161, c_busy) | (~m_main_v_request(s160)))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26208,plain,
% 9.16/6.66 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s160, c_ready)) | (~node2(s160, s161)) | m_main_v_state(s161, c_busy) | (~m_main_v_request(s160))),
% 9.16/6.66 inference(modus_ponens,[status(thm)],[26207, 26206])).
% 9.16/6.66 tff(26209,plain,
% 9.16/6.66 ((~m_main_v_state(s160, c_ready)) | m_main_v_state(s161, c_busy) | (~m_main_v_request(s160))),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26208, 191, 26205])).
% 9.16/6.66 tff(26210,plain,
% 9.16/6.66 (~m_main_v_state(s160, c_ready)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26209, 26201, 26196])).
% 9.16/6.66 tff(26211,plain,
% 9.16/6.66 (always3(s160)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7931, 22, 26197])).
% 9.16/6.66 tff(26212,plain,
% 9.16/6.66 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s160)) | (~m_main_v_state(s160, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s160)) | (~m_main_v_state(s160, c_busy)))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26213,plain,
% 9.16/6.66 (((~m_main_v_state(s160, c_busy)) | (~always3(s160))) <=> ((~always3(s160)) | (~m_main_v_state(s160, c_busy)))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26214,plain,
% 9.16/6.66 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s160, c_busy)) | (~always3(s160)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s160)) | (~m_main_v_state(s160, c_busy))))),
% 9.16/6.66 inference(monotonicity,[status(thm)],[26213])).
% 9.16/6.66 tff(26215,plain,
% 9.16/6.66 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s160, c_busy)) | (~always3(s160)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s160)) | (~m_main_v_state(s160, c_busy)))),
% 9.16/6.66 inference(transitivity,[status(thm)],[26214, 26212])).
% 9.16/6.66 tff(26216,plain,
% 9.16/6.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s160, c_busy)) | (~always3(s160)))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26217,plain,
% 9.16/6.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s160)) | (~m_main_v_state(s160, c_busy))),
% 9.16/6.66 inference(modus_ponens,[status(thm)],[26216, 26215])).
% 9.16/6.66 tff(26218,plain,
% 9.16/6.66 (~m_main_v_state(s160, c_busy)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26217, 170, 26211])).
% 9.16/6.66 tff(26219,plain,
% 9.16/6.66 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s160, c_busy) | m_main_v_state(s160, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s160, c_busy) | m_main_v_state(s160, c_ready))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26220,plain,
% 9.16/6.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s160, c_busy) | m_main_v_state(s160, c_ready))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26221,plain,
% 9.16/6.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s160, c_busy) | m_main_v_state(s160, c_ready)),
% 9.16/6.66 inference(modus_ponens,[status(thm)],[26220, 26219])).
% 9.16/6.66 tff(26222,plain,
% 9.16/6.66 ($false),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26221, 213, 26218, 26210])).
% 9.16/6.66 tff(26223,plain,((~node4(s160)) | m_main_v_state(s161, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.16/6.66 tff(26224,plain,
% 9.16/6.66 (~node4(s160)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26223, 26195])).
% 9.16/6.66 tff(26225,plain,
% 9.16/6.66 (always3(s162)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7898, 26188])).
% 9.16/6.66 tff(26226,plain,
% 9.16/6.66 (~m_main_v_state(s162, c_busy)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26109, 170, 26225])).
% 9.16/6.66 tff(26227,plain,
% 9.16/6.66 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s161, c_busy) | m_main_v_state(s161, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s161, c_busy) | m_main_v_state(s161, c_ready))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26228,plain,
% 9.16/6.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s161, c_busy) | m_main_v_state(s161, c_ready))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26229,plain,
% 9.16/6.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s161, c_busy) | m_main_v_state(s161, c_ready)),
% 9.16/6.66 inference(modus_ponens,[status(thm)],[26228, 26227])).
% 9.16/6.66 tff(26230,plain,
% 9.16/6.66 (m_main_v_state(s161, c_ready)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26229, 213, 26195])).
% 9.16/6.66 tff(26231,plain,
% 9.16/6.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s161, s162)) | node2(s161, s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s161, s162)) | node2(s161, s162))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26232,plain,
% 9.16/6.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s161, s162)) | node2(s161, s162))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26233,plain,
% 9.16/6.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s161, s162)) | node2(s161, s162)),
% 9.16/6.66 inference(modus_ponens,[status(thm)],[26232, 26231])).
% 9.16/6.66 tff(26234,plain,
% 9.16/6.66 (node2(s161, s162)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26233, 7, 7894])).
% 9.16/6.66 tff(26235,plain,
% 9.16/6.66 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s161, c_ready)) | (~node2(s161, s162)) | m_main_v_state(s162, c_busy) | (~m_main_v_request(s161)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s161, c_ready)) | (~node2(s161, s162)) | m_main_v_state(s162, c_busy) | (~m_main_v_request(s161)))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26236,plain,
% 9.16/6.66 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s161, c_ready)) | (~node2(s161, s162)) | m_main_v_state(s162, c_busy) | (~m_main_v_request(s161)))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26237,plain,
% 9.16/6.66 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s161, c_ready)) | (~node2(s161, s162)) | m_main_v_state(s162, c_busy) | (~m_main_v_request(s161))),
% 9.16/6.66 inference(modus_ponens,[status(thm)],[26236, 26235])).
% 9.16/6.66 tff(26238,plain,
% 9.16/6.66 ((~m_main_v_state(s161, c_ready)) | m_main_v_state(s162, c_busy) | (~m_main_v_request(s161))),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26237, 191, 26234])).
% 9.16/6.66 tff(26239,plain,
% 9.16/6.66 (~m_main_v_request(s161)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26238, 26230, 26226])).
% 9.16/6.66 tff(26240,plain,
% 9.16/6.66 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s161) | (~node4(s161)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s161) | (~node4(s161)))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26241,plain,
% 9.16/6.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s161) | (~node4(s161)))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26242,plain,
% 9.16/6.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s161) | (~node4(s161))),
% 9.16/6.66 inference(modus_ponens,[status(thm)],[26241, 26240])).
% 9.16/6.66 tff(26243,plain,
% 9.16/6.66 (~node4(s161)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26242, 154, 26239])).
% 9.16/6.66 tff(26244,plain,
% 9.16/6.66 (node4(s161) | (~until5(s161))),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7909, 36, 26139])).
% 9.16/6.66 tff(26245,plain,
% 9.16/6.66 (~until5(s161)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26244, 26243])).
% 9.16/6.66 tff(26246,plain,
% 9.16/6.66 (~xuntil6(s160)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7918, 26245])).
% 9.16/6.66 tff(26247,plain,
% 9.16/6.66 (node4(s160) | (~until5(s160))),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7938, 36, 26246])).
% 9.16/6.66 tff(26248,plain,
% 9.16/6.66 (~until5(s160)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26247, 26224])).
% 9.16/6.66 tff(26249,plain,
% 9.16/6.66 (~xuntil6(s159)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7947, 26248])).
% 9.16/6.66 tff(26250,assumption,(~always3(s159)), introduced(assumption)).
% 9.16/6.66 tff(26251,plain,
% 9.16/6.66 (~always3(s158)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7985, 26250])).
% 9.16/6.66 tff(26252,plain,
% 9.16/6.66 (~node4(s158)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7989, 22, 26251])).
% 9.16/6.66 tff(26253,plain,
% 9.16/6.66 (~node4(s159)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7960, 22, 26250])).
% 9.16/6.66 tff(26254,assumption,(~xuntil6(s159)), introduced(assumption)).
% 9.16/6.66 tff(26255,plain,
% 9.16/6.66 (node4(s159) | (~until5(s159))),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7967, 36, 26254])).
% 9.16/6.66 tff(26256,plain,
% 9.16/6.66 (~until5(s159)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26255, 26253])).
% 9.16/6.66 tff(26257,plain,
% 9.16/6.66 (~xuntil6(s158)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7976, 26256])).
% 9.16/6.66 tff(26258,plain,
% 9.16/6.66 (~until5(s158)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7996, 36, 26257, 26252])).
% 9.16/6.66 tff(26259,plain,
% 9.16/6.66 (~xuntil6(s157)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8005, 26258])).
% 9.16/6.66 tff(26260,plain,
% 9.16/6.66 (~always3(s157)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8014, 26251])).
% 9.16/6.66 tff(26261,plain,
% 9.16/6.66 (~node4(s157)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8018, 22, 26260])).
% 9.16/6.66 tff(26262,plain,
% 9.16/6.66 (xuntil6(s157) | (~until5(s157))),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8025, 36, 26261])).
% 9.16/6.66 tff(26263,plain,
% 9.16/6.66 (~until5(s157)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26262, 26259])).
% 9.16/6.66 tff(26264,plain,
% 9.16/6.66 (~xuntil6(s156)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8034, 26263])).
% 9.16/6.66 tff(26265,plain,
% 9.16/6.66 (~always3(s156)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8043, 26260])).
% 9.16/6.66 tff(26266,plain,
% 9.16/6.66 (~node4(s156)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8047, 22, 26265])).
% 9.16/6.66 tff(26267,plain,
% 9.16/6.66 (xuntil6(s156) | (~until5(s156))),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8054, 36, 26266])).
% 9.16/6.66 tff(26268,plain,
% 9.16/6.66 (~until5(s156)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26267, 26264])).
% 9.16/6.66 tff(26269,plain,
% 9.16/6.66 (~always3(s155)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8072, 26265])).
% 9.16/6.66 tff(26270,plain,
% 9.16/6.66 (~always3(s154)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8101, 26269])).
% 9.16/6.66 tff(26271,plain,
% 9.16/6.66 (~always3(s153)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8130, 26270])).
% 9.16/6.66 tff(26272,plain,
% 9.16/6.66 (~node4(s153)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8134, 22, 26271])).
% 9.16/6.66 tff(26273,plain,
% 9.16/6.66 (~always3(s152)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8159, 26271])).
% 9.16/6.66 tff(26274,plain,
% 9.16/6.66 (~node4(s152)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8163, 22, 26273])).
% 9.16/6.66 tff(26275,plain,
% 9.16/6.66 (xuntil6(s152)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26035, 26274])).
% 9.16/6.66 tff(26276,plain,
% 9.16/6.66 (until5(s153)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8150, 26275])).
% 9.16/6.66 tff(26277,plain,
% 9.16/6.66 (xuntil6(s153)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8141, 36, 26276, 26272])).
% 9.16/6.66 tff(26278,plain,
% 9.16/6.66 (until5(s154)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8121, 26277])).
% 9.16/6.66 tff(26279,plain,
% 9.16/6.66 (~node4(s154)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8105, 22, 26270])).
% 9.16/6.66 tff(26280,plain,
% 9.16/6.66 (xuntil6(s154) | (~until5(s154))),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8112, 36, 26279])).
% 9.16/6.66 tff(26281,plain,
% 9.16/6.66 (xuntil6(s154)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26280, 26278])).
% 9.16/6.66 tff(26282,plain,
% 9.16/6.66 (until5(s155)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8092, 26281])).
% 9.16/6.66 tff(26283,plain,
% 9.16/6.66 (~node4(s155)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8076, 22, 26269])).
% 9.16/6.66 tff(26284,plain,
% 9.16/6.66 (xuntil6(s155) | (~until5(s155))),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8083, 36, 26283])).
% 9.16/6.66 tff(26285,plain,
% 9.16/6.66 (xuntil6(s155)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26284, 26282])).
% 9.16/6.66 tff(26286,plain,
% 9.16/6.66 ($false),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[8063, 26285, 26268])).
% 9.16/6.66 tff(26287,plain,(always3(s159) | (~until5(s152)) | xuntil6(s159)), inference(lemma,lemma(discharge,[]))).
% 9.16/6.66 tff(26288,plain,
% 9.16/6.66 (always3(s159)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26287, 26019, 26249])).
% 9.16/6.66 tff(26289,plain,
% 9.16/6.66 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s159)) | (~m_main_v_state(s159, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s159)) | (~m_main_v_state(s159, c_busy)))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26290,plain,
% 9.16/6.66 (((~m_main_v_state(s159, c_busy)) | (~always3(s159))) <=> ((~always3(s159)) | (~m_main_v_state(s159, c_busy)))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26291,plain,
% 9.16/6.66 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s159, c_busy)) | (~always3(s159)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s159)) | (~m_main_v_state(s159, c_busy))))),
% 9.16/6.66 inference(monotonicity,[status(thm)],[26290])).
% 9.16/6.66 tff(26292,plain,
% 9.16/6.66 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s159, c_busy)) | (~always3(s159)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s159)) | (~m_main_v_state(s159, c_busy)))),
% 9.16/6.66 inference(transitivity,[status(thm)],[26291, 26289])).
% 9.16/6.66 tff(26293,plain,
% 9.16/6.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s159, c_busy)) | (~always3(s159)))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26294,plain,
% 9.16/6.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s159)) | (~m_main_v_state(s159, c_busy))),
% 9.16/6.66 inference(modus_ponens,[status(thm)],[26293, 26292])).
% 9.16/6.66 tff(26295,plain,
% 9.16/6.66 (~m_main_v_state(s159, c_busy)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26294, 170, 26288])).
% 9.16/6.66 tff(26296,assumption,(~m_main_v_state(s159, c_busy)), introduced(assumption)).
% 9.16/6.66 tff(26297,assumption,(node4(s158)), introduced(assumption)).
% 9.16/6.66 tff(26298,plain,
% 9.16/6.66 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s158) | (~node4(s158)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s158) | (~node4(s158)))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26299,plain,
% 9.16/6.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s158) | (~node4(s158)))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26300,plain,
% 9.16/6.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s158) | (~node4(s158))),
% 9.16/6.66 inference(modus_ponens,[status(thm)],[26299, 26298])).
% 9.16/6.66 tff(26301,plain,
% 9.16/6.66 (m_main_v_request(s158)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26300, 154, 26297])).
% 9.16/6.66 tff(26302,plain,
% 9.16/6.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s158, s159)) | node2(s158, s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s158, s159)) | node2(s158, s159))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26303,plain,
% 9.16/6.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s158, s159)) | node2(s158, s159))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26304,plain,
% 9.16/6.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s158, s159)) | node2(s158, s159)),
% 9.16/6.66 inference(modus_ponens,[status(thm)],[26303, 26302])).
% 9.16/6.66 tff(26305,plain,
% 9.16/6.66 (node2(s158, s159)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26304, 7, 7981])).
% 9.16/6.66 tff(26306,plain,
% 9.16/6.66 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s158, c_ready)) | (~node2(s158, s159)) | m_main_v_state(s159, c_busy) | (~m_main_v_request(s158)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s158, c_ready)) | (~node2(s158, s159)) | m_main_v_state(s159, c_busy) | (~m_main_v_request(s158)))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26307,plain,
% 9.16/6.66 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s158, c_ready)) | (~node2(s158, s159)) | m_main_v_state(s159, c_busy) | (~m_main_v_request(s158)))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26308,plain,
% 9.16/6.66 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s158, c_ready)) | (~node2(s158, s159)) | m_main_v_state(s159, c_busy) | (~m_main_v_request(s158))),
% 9.16/6.66 inference(modus_ponens,[status(thm)],[26307, 26306])).
% 9.16/6.66 tff(26309,plain,
% 9.16/6.66 ((~m_main_v_state(s158, c_ready)) | m_main_v_state(s159, c_busy) | (~m_main_v_request(s158))),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26308, 191, 26305])).
% 9.16/6.66 tff(26310,plain,
% 9.16/6.66 (~m_main_v_state(s158, c_ready)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26309, 26301, 26296])).
% 9.16/6.66 tff(26311,plain,
% 9.16/6.66 (always3(s158)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7989, 22, 26297])).
% 9.16/6.66 tff(26312,plain,
% 9.16/6.66 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s158)) | (~m_main_v_state(s158, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s158)) | (~m_main_v_state(s158, c_busy)))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26313,plain,
% 9.16/6.66 (((~m_main_v_state(s158, c_busy)) | (~always3(s158))) <=> ((~always3(s158)) | (~m_main_v_state(s158, c_busy)))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26314,plain,
% 9.16/6.66 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s158, c_busy)) | (~always3(s158)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s158)) | (~m_main_v_state(s158, c_busy))))),
% 9.16/6.66 inference(monotonicity,[status(thm)],[26313])).
% 9.16/6.66 tff(26315,plain,
% 9.16/6.66 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s158, c_busy)) | (~always3(s158)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s158)) | (~m_main_v_state(s158, c_busy)))),
% 9.16/6.66 inference(transitivity,[status(thm)],[26314, 26312])).
% 9.16/6.66 tff(26316,plain,
% 9.16/6.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s158, c_busy)) | (~always3(s158)))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26317,plain,
% 9.16/6.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s158)) | (~m_main_v_state(s158, c_busy))),
% 9.16/6.66 inference(modus_ponens,[status(thm)],[26316, 26315])).
% 9.16/6.66 tff(26318,plain,
% 9.16/6.66 (~m_main_v_state(s158, c_busy)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26317, 170, 26311])).
% 9.16/6.66 tff(26319,plain,
% 9.16/6.66 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s158, c_busy) | m_main_v_state(s158, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s158, c_busy) | m_main_v_state(s158, c_ready))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26320,plain,
% 9.16/6.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s158, c_busy) | m_main_v_state(s158, c_ready))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26321,plain,
% 9.16/6.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s158, c_busy) | m_main_v_state(s158, c_ready)),
% 9.16/6.66 inference(modus_ponens,[status(thm)],[26320, 26319])).
% 9.16/6.66 tff(26322,plain,
% 9.16/6.66 ($false),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26321, 213, 26318, 26310])).
% 9.16/6.66 tff(26323,plain,((~node4(s158)) | m_main_v_state(s159, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.16/6.66 tff(26324,plain,
% 9.16/6.66 (~node4(s158)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26323, 26295])).
% 9.16/6.66 tff(26325,plain,
% 9.16/6.66 (always3(s160)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[7956, 26288])).
% 9.16/6.66 tff(26326,plain,
% 9.16/6.66 (~m_main_v_state(s160, c_busy)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26217, 170, 26325])).
% 9.16/6.66 tff(26327,plain,
% 9.16/6.66 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s159, c_busy) | m_main_v_state(s159, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s159, c_busy) | m_main_v_state(s159, c_ready))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26328,plain,
% 9.16/6.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s159, c_busy) | m_main_v_state(s159, c_ready))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26329,plain,
% 9.16/6.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s159, c_busy) | m_main_v_state(s159, c_ready)),
% 9.16/6.66 inference(modus_ponens,[status(thm)],[26328, 26327])).
% 9.16/6.66 tff(26330,plain,
% 9.16/6.66 (m_main_v_state(s159, c_ready)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26329, 213, 26295])).
% 9.16/6.66 tff(26331,plain,
% 9.16/6.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s159, s160)) | node2(s159, s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s159, s160)) | node2(s159, s160))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26332,plain,
% 9.16/6.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s159, s160)) | node2(s159, s160))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26333,plain,
% 9.16/6.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s159, s160)) | node2(s159, s160)),
% 9.16/6.66 inference(modus_ponens,[status(thm)],[26332, 26331])).
% 9.16/6.66 tff(26334,plain,
% 9.16/6.66 (node2(s159, s160)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26333, 7, 7952])).
% 9.16/6.66 tff(26335,plain,
% 9.16/6.66 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s159, c_ready)) | (~node2(s159, s160)) | m_main_v_state(s160, c_busy) | (~m_main_v_request(s159)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s159, c_ready)) | (~node2(s159, s160)) | m_main_v_state(s160, c_busy) | (~m_main_v_request(s159)))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26336,plain,
% 9.16/6.66 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s159, c_ready)) | (~node2(s159, s160)) | m_main_v_state(s160, c_busy) | (~m_main_v_request(s159)))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26337,plain,
% 9.16/6.66 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s159, c_ready)) | (~node2(s159, s160)) | m_main_v_state(s160, c_busy) | (~m_main_v_request(s159))),
% 9.16/6.66 inference(modus_ponens,[status(thm)],[26336, 26335])).
% 9.16/6.66 tff(26338,plain,
% 9.16/6.66 ((~m_main_v_state(s159, c_ready)) | m_main_v_state(s160, c_busy) | (~m_main_v_request(s159))),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26337, 191, 26334])).
% 9.16/6.66 tff(26339,plain,
% 9.16/6.66 (~m_main_v_request(s159)),
% 9.16/6.66 inference(unit_resolution,[status(thm)],[26338, 26330, 26326])).
% 9.16/6.66 tff(26340,plain,
% 9.16/6.66 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s159) | (~node4(s159)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s159) | (~node4(s159)))),
% 9.16/6.66 inference(rewrite,[status(thm)],[])).
% 9.16/6.66 tff(26341,plain,
% 9.16/6.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s159) | (~node4(s159)))),
% 9.16/6.66 inference(quant_inst,[status(thm)],[])).
% 9.16/6.66 tff(26342,plain,
% 9.16/6.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s159) | (~node4(s159))),
% 9.16/6.67 inference(modus_ponens,[status(thm)],[26341, 26340])).
% 9.16/6.67 tff(26343,plain,
% 9.16/6.67 (~node4(s159)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26342, 154, 26339])).
% 9.16/6.67 tff(26344,plain,
% 9.16/6.67 (node4(s159) | (~until5(s159))),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[7967, 36, 26249])).
% 9.16/6.67 tff(26345,plain,
% 9.16/6.67 (~until5(s159)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26344, 26343])).
% 9.16/6.67 tff(26346,plain,
% 9.16/6.67 (~xuntil6(s158)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[7976, 26345])).
% 9.16/6.67 tff(26347,plain,
% 9.16/6.67 (node4(s158) | (~until5(s158))),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[7996, 36, 26346])).
% 9.16/6.67 tff(26348,plain,
% 9.16/6.67 (~until5(s158)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26347, 26324])).
% 9.16/6.67 tff(26349,plain,
% 9.16/6.67 (~xuntil6(s157)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8005, 26348])).
% 9.16/6.67 tff(26350,assumption,(~always3(s157)), introduced(assumption)).
% 9.16/6.67 tff(26351,plain,
% 9.16/6.67 (~always3(s156)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8043, 26350])).
% 9.16/6.67 tff(26352,plain,
% 9.16/6.67 (~node4(s156)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8047, 22, 26351])).
% 9.16/6.67 tff(26353,plain,
% 9.16/6.67 (~node4(s157)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8018, 22, 26350])).
% 9.16/6.67 tff(26354,assumption,(~xuntil6(s157)), introduced(assumption)).
% 9.16/6.67 tff(26355,plain,
% 9.16/6.67 (node4(s157) | (~until5(s157))),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8025, 36, 26354])).
% 9.16/6.67 tff(26356,plain,
% 9.16/6.67 (~until5(s157)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26355, 26353])).
% 9.16/6.67 tff(26357,plain,
% 9.16/6.67 (~xuntil6(s156)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8034, 26356])).
% 9.16/6.67 tff(26358,plain,
% 9.16/6.67 (~until5(s156)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8054, 36, 26357, 26352])).
% 9.16/6.67 tff(26359,plain,
% 9.16/6.67 (~xuntil6(s155)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8063, 26358])).
% 9.16/6.67 tff(26360,plain,
% 9.16/6.67 (~always3(s155)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8072, 26351])).
% 9.16/6.67 tff(26361,plain,
% 9.16/6.67 (~node4(s155)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8076, 22, 26360])).
% 9.16/6.67 tff(26362,plain,
% 9.16/6.67 (xuntil6(s155) | (~until5(s155))),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8083, 36, 26361])).
% 9.16/6.67 tff(26363,plain,
% 9.16/6.67 (~until5(s155)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26362, 26359])).
% 9.16/6.67 tff(26364,plain,
% 9.16/6.67 (~always3(s154)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8101, 26360])).
% 9.16/6.67 tff(26365,plain,
% 9.16/6.67 (~always3(s153)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8130, 26364])).
% 9.16/6.67 tff(26366,plain,
% 9.16/6.67 (~node4(s153)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8134, 22, 26365])).
% 9.16/6.67 tff(26367,plain,
% 9.16/6.67 (~always3(s152)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8159, 26365])).
% 9.16/6.67 tff(26368,plain,
% 9.16/6.67 (~node4(s152)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8163, 22, 26367])).
% 9.16/6.67 tff(26369,plain,
% 9.16/6.67 (xuntil6(s152)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26035, 26368])).
% 9.16/6.67 tff(26370,plain,
% 9.16/6.67 (until5(s153)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8150, 26369])).
% 9.16/6.67 tff(26371,plain,
% 9.16/6.67 (xuntil6(s153)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8141, 36, 26370, 26366])).
% 9.16/6.67 tff(26372,plain,
% 9.16/6.67 (until5(s154)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8121, 26371])).
% 9.16/6.67 tff(26373,plain,
% 9.16/6.67 (~node4(s154)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8105, 22, 26364])).
% 9.16/6.67 tff(26374,plain,
% 9.16/6.67 (xuntil6(s154) | (~until5(s154))),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8112, 36, 26373])).
% 9.16/6.67 tff(26375,plain,
% 9.16/6.67 (xuntil6(s154)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26374, 26372])).
% 9.16/6.67 tff(26376,plain,
% 9.16/6.67 ($false),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8092, 26375, 26363])).
% 9.16/6.67 tff(26377,plain,(always3(s157) | (~until5(s152)) | xuntil6(s157)), inference(lemma,lemma(discharge,[]))).
% 9.16/6.67 tff(26378,plain,
% 9.16/6.67 (always3(s157)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26377, 26019, 26349])).
% 9.16/6.67 tff(26379,plain,
% 9.16/6.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s157)) | (~m_main_v_state(s157, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s157)) | (~m_main_v_state(s157, c_busy)))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26380,plain,
% 9.16/6.67 (((~m_main_v_state(s157, c_busy)) | (~always3(s157))) <=> ((~always3(s157)) | (~m_main_v_state(s157, c_busy)))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26381,plain,
% 9.16/6.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s157, c_busy)) | (~always3(s157)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s157)) | (~m_main_v_state(s157, c_busy))))),
% 9.16/6.67 inference(monotonicity,[status(thm)],[26380])).
% 9.16/6.67 tff(26382,plain,
% 9.16/6.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s157, c_busy)) | (~always3(s157)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s157)) | (~m_main_v_state(s157, c_busy)))),
% 9.16/6.67 inference(transitivity,[status(thm)],[26381, 26379])).
% 9.16/6.67 tff(26383,plain,
% 9.16/6.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s157, c_busy)) | (~always3(s157)))),
% 9.16/6.67 inference(quant_inst,[status(thm)],[])).
% 9.16/6.67 tff(26384,plain,
% 9.16/6.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s157)) | (~m_main_v_state(s157, c_busy))),
% 9.16/6.67 inference(modus_ponens,[status(thm)],[26383, 26382])).
% 9.16/6.67 tff(26385,plain,
% 9.16/6.67 (~m_main_v_state(s157, c_busy)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26384, 170, 26378])).
% 9.16/6.67 tff(26386,plain,
% 9.16/6.67 (always3(s158)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8014, 26378])).
% 9.16/6.67 tff(26387,plain,
% 9.16/6.67 (~m_main_v_state(s158, c_busy)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26317, 170, 26386])).
% 9.16/6.67 tff(26388,plain,
% 9.16/6.67 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s157, c_busy) | m_main_v_state(s157, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s157, c_busy) | m_main_v_state(s157, c_ready))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26389,plain,
% 9.16/6.67 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s157, c_busy) | m_main_v_state(s157, c_ready))),
% 9.16/6.67 inference(quant_inst,[status(thm)],[])).
% 9.16/6.67 tff(26390,plain,
% 9.16/6.67 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s157, c_busy) | m_main_v_state(s157, c_ready)),
% 9.16/6.67 inference(modus_ponens,[status(thm)],[26389, 26388])).
% 9.16/6.67 tff(26391,plain,
% 9.16/6.67 (m_main_v_state(s157, c_ready)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26390, 213, 26385])).
% 9.16/6.67 tff(26392,plain,
% 9.16/6.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s157, s158)) | node2(s157, s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s157, s158)) | node2(s157, s158))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26393,plain,
% 9.16/6.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s157, s158)) | node2(s157, s158))),
% 9.16/6.67 inference(quant_inst,[status(thm)],[])).
% 9.16/6.67 tff(26394,plain,
% 9.16/6.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s157, s158)) | node2(s157, s158)),
% 9.16/6.67 inference(modus_ponens,[status(thm)],[26393, 26392])).
% 9.16/6.67 tff(26395,plain,
% 9.16/6.67 (node2(s157, s158)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26394, 7, 8010])).
% 9.16/6.67 tff(26396,plain,
% 9.16/6.67 (((~![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(s157, c_ready)) | (~node2(s157, s158)) | m_main_v_state(s158, c_busy) | (~m_main_v_request(s157)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s157, c_ready)) | (~node2(s157, s158)) | m_main_v_state(s158, c_busy) | (~m_main_v_request(s157)))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26397,plain,
% 9.16/6.67 ((~![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(s157, c_ready)) | (~node2(s157, s158)) | m_main_v_state(s158, c_busy) | (~m_main_v_request(s157)))),
% 9.16/6.67 inference(quant_inst,[status(thm)],[])).
% 9.16/6.67 tff(26398,plain,
% 9.16/6.67 ((~![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(s157, c_ready)) | (~node2(s157, s158)) | m_main_v_state(s158, c_busy) | (~m_main_v_request(s157))),
% 9.16/6.67 inference(modus_ponens,[status(thm)],[26397, 26396])).
% 9.16/6.67 tff(26399,plain,
% 9.16/6.67 ((~m_main_v_state(s157, c_ready)) | m_main_v_state(s158, c_busy) | (~m_main_v_request(s157))),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26398, 191, 26395])).
% 9.16/6.67 tff(26400,plain,
% 9.16/6.67 (~m_main_v_request(s157)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26399, 26391, 26387])).
% 9.16/6.67 tff(26401,plain,
% 9.16/6.67 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s157) | (~node4(s157)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s157) | (~node4(s157)))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26402,plain,
% 9.16/6.67 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s157) | (~node4(s157)))),
% 9.16/6.67 inference(quant_inst,[status(thm)],[])).
% 9.16/6.67 tff(26403,plain,
% 9.16/6.67 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s157) | (~node4(s157))),
% 9.16/6.67 inference(modus_ponens,[status(thm)],[26402, 26401])).
% 9.16/6.67 tff(26404,plain,
% 9.16/6.67 (~node4(s157)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26403, 154, 26400])).
% 9.16/6.67 tff(26405,plain,
% 9.16/6.67 (node4(s157) | (~until5(s157))),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8025, 36, 26349])).
% 9.16/6.67 tff(26406,plain,
% 9.16/6.67 (~until5(s157)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26405, 26404])).
% 9.16/6.67 tff(26407,plain,
% 9.16/6.67 (~xuntil6(s156)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8034, 26406])).
% 9.16/6.67 tff(26408,assumption,(~xuntil6(s156)), introduced(assumption)).
% 9.16/6.67 tff(26409,assumption,(until5(s155)), introduced(assumption)).
% 9.16/6.67 tff(26410,assumption,(~always3(s156)), introduced(assumption)).
% 9.16/6.67 tff(26411,plain,
% 9.16/6.67 (~always3(s155)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8072, 26410])).
% 9.16/6.67 tff(26412,plain,
% 9.16/6.67 (~node4(s155)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8076, 22, 26411])).
% 9.16/6.67 tff(26413,plain,
% 9.16/6.67 (xuntil6(s155) | node4(s155)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8083, 36, 26409])).
% 9.16/6.67 tff(26414,plain,
% 9.16/6.67 (xuntil6(s155)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26413, 26412])).
% 9.16/6.67 tff(26415,plain,
% 9.16/6.67 (until5(s156)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8063, 26414])).
% 9.16/6.67 tff(26416,plain,
% 9.16/6.67 (node4(s156) | (~until5(s156))),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8054, 36, 26408])).
% 9.16/6.67 tff(26417,plain,
% 9.16/6.67 (node4(s156)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26416, 26415])).
% 9.16/6.67 tff(26418,plain,
% 9.16/6.67 ($false),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8047, 22, 26410, 26417])).
% 9.16/6.67 tff(26419,plain,(always3(s156) | xuntil6(s156) | (~until5(s155))), inference(lemma,lemma(discharge,[]))).
% 9.16/6.67 tff(26420,plain,
% 9.16/6.67 (always3(s156)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26419, 26409, 26408])).
% 9.16/6.67 tff(26421,plain,
% 9.16/6.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s156)) | (~m_main_v_state(s156, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s156)) | (~m_main_v_state(s156, c_busy)))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26422,plain,
% 9.16/6.67 (((~m_main_v_state(s156, c_busy)) | (~always3(s156))) <=> ((~always3(s156)) | (~m_main_v_state(s156, c_busy)))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26423,plain,
% 9.16/6.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s156, c_busy)) | (~always3(s156)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s156)) | (~m_main_v_state(s156, c_busy))))),
% 9.16/6.67 inference(monotonicity,[status(thm)],[26422])).
% 9.16/6.67 tff(26424,plain,
% 9.16/6.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s156, c_busy)) | (~always3(s156)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s156)) | (~m_main_v_state(s156, c_busy)))),
% 9.16/6.67 inference(transitivity,[status(thm)],[26423, 26421])).
% 9.16/6.67 tff(26425,plain,
% 9.16/6.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s156, c_busy)) | (~always3(s156)))),
% 9.16/6.67 inference(quant_inst,[status(thm)],[])).
% 9.16/6.67 tff(26426,plain,
% 9.16/6.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s156)) | (~m_main_v_state(s156, c_busy))),
% 9.16/6.67 inference(modus_ponens,[status(thm)],[26425, 26424])).
% 9.16/6.67 tff(26427,plain,
% 9.16/6.67 (~m_main_v_state(s156, c_busy)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26426, 170, 26420])).
% 9.16/6.67 tff(26428,assumption,(~m_main_v_state(s157, c_busy)), introduced(assumption)).
% 9.16/6.67 tff(26429,plain,
% 9.16/6.67 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s156, c_busy) | m_main_v_state(s156, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s156, c_busy) | m_main_v_state(s156, c_ready))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26430,plain,
% 9.16/6.67 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s156, c_busy) | m_main_v_state(s156, c_ready))),
% 9.16/6.67 inference(quant_inst,[status(thm)],[])).
% 9.16/6.67 tff(26431,plain,
% 9.16/6.67 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s156, c_busy) | m_main_v_state(s156, c_ready)),
% 9.16/6.67 inference(modus_ponens,[status(thm)],[26430, 26429])).
% 9.16/6.67 tff(26432,plain,
% 9.16/6.67 (m_main_v_state(s156, c_ready)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26431, 213, 26427])).
% 9.16/6.67 tff(26433,plain,
% 9.16/6.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s156, s157)) | node2(s156, s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s156, s157)) | node2(s156, s157))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26434,plain,
% 9.16/6.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s156, s157)) | node2(s156, s157))),
% 9.16/6.67 inference(quant_inst,[status(thm)],[])).
% 9.16/6.67 tff(26435,plain,
% 9.16/6.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s156, s157)) | node2(s156, s157)),
% 9.16/6.67 inference(modus_ponens,[status(thm)],[26434, 26433])).
% 9.16/6.67 tff(26436,plain,
% 9.16/6.67 (node2(s156, s157)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26435, 7, 8039])).
% 9.16/6.67 tff(26437,plain,
% 9.16/6.67 (((~![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(s156, c_ready)) | (~node2(s156, s157)) | m_main_v_state(s157, c_busy) | (~m_main_v_request(s156)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s156, c_ready)) | (~node2(s156, s157)) | m_main_v_state(s157, c_busy) | (~m_main_v_request(s156)))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26438,plain,
% 9.16/6.67 ((~![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(s156, c_ready)) | (~node2(s156, s157)) | m_main_v_state(s157, c_busy) | (~m_main_v_request(s156)))),
% 9.16/6.67 inference(quant_inst,[status(thm)],[])).
% 9.16/6.67 tff(26439,plain,
% 9.16/6.67 ((~![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(s156, c_ready)) | (~node2(s156, s157)) | m_main_v_state(s157, c_busy) | (~m_main_v_request(s156))),
% 9.16/6.67 inference(modus_ponens,[status(thm)],[26438, 26437])).
% 9.16/6.67 tff(26440,plain,
% 9.16/6.67 ((~m_main_v_state(s156, c_ready)) | m_main_v_state(s157, c_busy) | (~m_main_v_request(s156))),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26439, 191, 26436])).
% 9.16/6.67 tff(26441,plain,
% 9.16/6.67 (~m_main_v_request(s156)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26440, 26432, 26428])).
% 9.16/6.67 tff(26442,plain,
% 9.16/6.67 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s156) | (~node4(s156)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s156) | (~node4(s156)))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26443,plain,
% 9.16/6.67 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s156) | (~node4(s156)))),
% 9.16/6.67 inference(quant_inst,[status(thm)],[])).
% 9.16/6.67 tff(26444,plain,
% 9.16/6.67 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s156) | (~node4(s156))),
% 9.16/6.67 inference(modus_ponens,[status(thm)],[26443, 26442])).
% 9.16/6.67 tff(26445,plain,
% 9.16/6.67 (~node4(s156)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26444, 154, 26441])).
% 9.16/6.67 tff(26446,plain,
% 9.16/6.67 (~until5(s156)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26416, 26445])).
% 9.16/6.67 tff(26447,plain,
% 9.16/6.67 (~xuntil6(s155)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8063, 26446])).
% 9.16/6.67 tff(26448,plain,
% 9.16/6.67 (node4(s155)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26413, 26447])).
% 9.16/6.67 tff(26449,plain,
% 9.16/6.67 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s155) | (~node4(s155)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s155) | (~node4(s155)))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26450,plain,
% 9.16/6.67 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s155) | (~node4(s155)))),
% 9.16/6.67 inference(quant_inst,[status(thm)],[])).
% 9.16/6.67 tff(26451,plain,
% 9.16/6.67 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s155) | (~node4(s155))),
% 9.16/6.67 inference(modus_ponens,[status(thm)],[26450, 26449])).
% 9.16/6.67 tff(26452,plain,
% 9.16/6.67 (m_main_v_request(s155)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26451, 154, 26448])).
% 9.16/6.67 tff(26453,plain,
% 9.16/6.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s155, s156)) | node2(s155, s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s155, s156)) | node2(s155, s156))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26454,plain,
% 9.16/6.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s155, s156)) | node2(s155, s156))),
% 9.16/6.67 inference(quant_inst,[status(thm)],[])).
% 9.16/6.67 tff(26455,plain,
% 9.16/6.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s155, s156)) | node2(s155, s156)),
% 9.16/6.67 inference(modus_ponens,[status(thm)],[26454, 26453])).
% 9.16/6.67 tff(26456,plain,
% 9.16/6.67 (node2(s155, s156)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26455, 7, 8068])).
% 9.16/6.67 tff(26457,plain,
% 9.16/6.67 (((~![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(s155, c_ready)) | (~node2(s155, s156)) | m_main_v_state(s156, c_busy) | (~m_main_v_request(s155)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s155, c_ready)) | (~node2(s155, s156)) | m_main_v_state(s156, c_busy) | (~m_main_v_request(s155)))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26458,plain,
% 9.16/6.67 ((~![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(s155, c_ready)) | (~node2(s155, s156)) | m_main_v_state(s156, c_busy) | (~m_main_v_request(s155)))),
% 9.16/6.67 inference(quant_inst,[status(thm)],[])).
% 9.16/6.67 tff(26459,plain,
% 9.16/6.67 ((~![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(s155, c_ready)) | (~node2(s155, s156)) | m_main_v_state(s156, c_busy) | (~m_main_v_request(s155))),
% 9.16/6.67 inference(modus_ponens,[status(thm)],[26458, 26457])).
% 9.16/6.67 tff(26460,plain,
% 9.16/6.67 ((~m_main_v_state(s155, c_ready)) | m_main_v_state(s156, c_busy) | (~m_main_v_request(s155))),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26459, 191, 26456])).
% 9.16/6.67 tff(26461,plain,
% 9.16/6.67 (~m_main_v_state(s155, c_ready)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26460, 26452, 26427])).
% 9.16/6.67 tff(26462,plain,
% 9.16/6.67 (always3(s155)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8076, 22, 26448])).
% 9.16/6.67 tff(26463,plain,
% 9.16/6.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s155)) | (~m_main_v_state(s155, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s155)) | (~m_main_v_state(s155, c_busy)))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26464,plain,
% 9.16/6.67 (((~m_main_v_state(s155, c_busy)) | (~always3(s155))) <=> ((~always3(s155)) | (~m_main_v_state(s155, c_busy)))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26465,plain,
% 9.16/6.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s155, c_busy)) | (~always3(s155)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s155)) | (~m_main_v_state(s155, c_busy))))),
% 9.16/6.67 inference(monotonicity,[status(thm)],[26464])).
% 9.16/6.67 tff(26466,plain,
% 9.16/6.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s155, c_busy)) | (~always3(s155)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s155)) | (~m_main_v_state(s155, c_busy)))),
% 9.16/6.67 inference(transitivity,[status(thm)],[26465, 26463])).
% 9.16/6.67 tff(26467,plain,
% 9.16/6.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s155, c_busy)) | (~always3(s155)))),
% 9.16/6.67 inference(quant_inst,[status(thm)],[])).
% 9.16/6.67 tff(26468,plain,
% 9.16/6.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s155)) | (~m_main_v_state(s155, c_busy))),
% 9.16/6.67 inference(modus_ponens,[status(thm)],[26467, 26466])).
% 9.16/6.67 tff(26469,plain,
% 9.16/6.67 (~m_main_v_state(s155, c_busy)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26468, 170, 26462])).
% 9.16/6.67 tff(26470,plain,
% 9.16/6.67 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s155, c_busy) | m_main_v_state(s155, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s155, c_busy) | m_main_v_state(s155, c_ready))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26471,plain,
% 9.16/6.67 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s155, c_busy) | m_main_v_state(s155, c_ready))),
% 9.16/6.67 inference(quant_inst,[status(thm)],[])).
% 9.16/6.67 tff(26472,plain,
% 9.16/6.67 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s155, c_busy) | m_main_v_state(s155, c_ready)),
% 9.16/6.67 inference(modus_ponens,[status(thm)],[26471, 26470])).
% 9.16/6.67 tff(26473,plain,
% 9.16/6.67 ($false),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26472, 213, 26469, 26461])).
% 9.16/6.67 tff(26474,plain,((~until5(s155)) | xuntil6(s156) | m_main_v_state(s157, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.16/6.67 tff(26475,plain,
% 9.16/6.67 (~until5(s155)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26474, 26407, 26385])).
% 9.16/6.67 tff(26476,plain,
% 9.16/6.67 (~xuntil6(s154)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8092, 26475])).
% 9.16/6.67 tff(26477,assumption,(~always3(s154)), introduced(assumption)).
% 9.16/6.67 tff(26478,plain,
% 9.16/6.67 (~always3(s153)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8130, 26477])).
% 9.16/6.67 tff(26479,plain,
% 9.16/6.67 (~node4(s153)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8134, 22, 26478])).
% 9.16/6.67 tff(26480,plain,
% 9.16/6.67 (~node4(s154)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8105, 22, 26477])).
% 9.16/6.67 tff(26481,assumption,(~xuntil6(s154)), introduced(assumption)).
% 9.16/6.67 tff(26482,plain,
% 9.16/6.67 (node4(s154) | (~until5(s154))),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8112, 36, 26481])).
% 9.16/6.67 tff(26483,plain,
% 9.16/6.67 (~until5(s154)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26482, 26480])).
% 9.16/6.67 tff(26484,plain,
% 9.16/6.67 (~xuntil6(s153)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8121, 26483])).
% 9.16/6.67 tff(26485,plain,
% 9.16/6.67 (~always3(s152)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8159, 26478])).
% 9.16/6.67 tff(26486,plain,
% 9.16/6.67 (~node4(s152)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8163, 22, 26485])).
% 9.16/6.67 tff(26487,plain,
% 9.16/6.67 (xuntil6(s152)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26035, 26486])).
% 9.16/6.67 tff(26488,plain,
% 9.16/6.67 (until5(s153)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8150, 26487])).
% 9.16/6.67 tff(26489,plain,
% 9.16/6.67 ($false),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8141, 36, 26488, 26484, 26479])).
% 9.16/6.67 tff(26490,plain,(always3(s154) | (~until5(s152)) | xuntil6(s154)), inference(lemma,lemma(discharge,[]))).
% 9.16/6.67 tff(26491,plain,
% 9.16/6.67 (always3(s154)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26490, 26019, 26476])).
% 9.16/6.67 tff(26492,plain,
% 9.16/6.67 (always3(s155)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8101, 26491])).
% 9.16/6.67 tff(26493,plain,
% 9.16/6.67 (~m_main_v_state(s155, c_busy)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26468, 170, 26492])).
% 9.16/6.67 tff(26494,plain,
% 9.16/6.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s154)) | (~m_main_v_state(s154, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s154)) | (~m_main_v_state(s154, c_busy)))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26495,plain,
% 9.16/6.67 (((~m_main_v_state(s154, c_busy)) | (~always3(s154))) <=> ((~always3(s154)) | (~m_main_v_state(s154, c_busy)))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26496,plain,
% 9.16/6.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s154, c_busy)) | (~always3(s154)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s154)) | (~m_main_v_state(s154, c_busy))))),
% 9.16/6.67 inference(monotonicity,[status(thm)],[26495])).
% 9.16/6.67 tff(26497,plain,
% 9.16/6.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s154, c_busy)) | (~always3(s154)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s154)) | (~m_main_v_state(s154, c_busy)))),
% 9.16/6.67 inference(transitivity,[status(thm)],[26496, 26494])).
% 9.16/6.67 tff(26498,plain,
% 9.16/6.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s154, c_busy)) | (~always3(s154)))),
% 9.16/6.67 inference(quant_inst,[status(thm)],[])).
% 9.16/6.67 tff(26499,plain,
% 9.16/6.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s154)) | (~m_main_v_state(s154, c_busy))),
% 9.16/6.67 inference(modus_ponens,[status(thm)],[26498, 26497])).
% 9.16/6.67 tff(26500,plain,
% 9.16/6.67 (~m_main_v_state(s154, c_busy)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26499, 170, 26491])).
% 9.16/6.67 tff(26501,plain,
% 9.16/6.67 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s154, c_busy) | m_main_v_state(s154, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s154, c_busy) | m_main_v_state(s154, c_ready))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26502,plain,
% 9.16/6.67 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s154, c_busy) | m_main_v_state(s154, c_ready))),
% 9.16/6.67 inference(quant_inst,[status(thm)],[])).
% 9.16/6.67 tff(26503,plain,
% 9.16/6.67 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s154, c_busy) | m_main_v_state(s154, c_ready)),
% 9.16/6.67 inference(modus_ponens,[status(thm)],[26502, 26501])).
% 9.16/6.67 tff(26504,plain,
% 9.16/6.67 (m_main_v_state(s154, c_ready)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26503, 213, 26500])).
% 9.16/6.67 tff(26505,plain,
% 9.16/6.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s154, s155)) | node2(s154, s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s154, s155)) | node2(s154, s155))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26506,plain,
% 9.16/6.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s154, s155)) | node2(s154, s155))),
% 9.16/6.67 inference(quant_inst,[status(thm)],[])).
% 9.16/6.67 tff(26507,plain,
% 9.16/6.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s154, s155)) | node2(s154, s155)),
% 9.16/6.67 inference(modus_ponens,[status(thm)],[26506, 26505])).
% 9.16/6.67 tff(26508,plain,
% 9.16/6.67 (node2(s154, s155)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26507, 7, 8097])).
% 9.16/6.67 tff(26509,plain,
% 9.16/6.67 (((~![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(s154, c_ready)) | (~node2(s154, s155)) | m_main_v_state(s155, c_busy) | (~m_main_v_request(s154)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s154, c_ready)) | (~node2(s154, s155)) | m_main_v_state(s155, c_busy) | (~m_main_v_request(s154)))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26510,plain,
% 9.16/6.67 ((~![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(s154, c_ready)) | (~node2(s154, s155)) | m_main_v_state(s155, c_busy) | (~m_main_v_request(s154)))),
% 9.16/6.67 inference(quant_inst,[status(thm)],[])).
% 9.16/6.67 tff(26511,plain,
% 9.16/6.67 ((~![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(s154, c_ready)) | (~node2(s154, s155)) | m_main_v_state(s155, c_busy) | (~m_main_v_request(s154))),
% 9.16/6.67 inference(modus_ponens,[status(thm)],[26510, 26509])).
% 9.16/6.67 tff(26512,plain,
% 9.16/6.67 ((~m_main_v_state(s154, c_ready)) | m_main_v_state(s155, c_busy) | (~m_main_v_request(s154))),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26511, 191, 26508])).
% 9.16/6.67 tff(26513,plain,
% 9.16/6.67 (~m_main_v_request(s154)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26512, 26504, 26493])).
% 9.16/6.67 tff(26514,plain,
% 9.16/6.67 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s154) | (~node4(s154)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s154) | (~node4(s154)))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26515,plain,
% 9.16/6.67 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s154) | (~node4(s154)))),
% 9.16/6.67 inference(quant_inst,[status(thm)],[])).
% 9.16/6.67 tff(26516,plain,
% 9.16/6.67 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s154) | (~node4(s154))),
% 9.16/6.67 inference(modus_ponens,[status(thm)],[26515, 26514])).
% 9.16/6.67 tff(26517,plain,
% 9.16/6.67 (~node4(s154)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26516, 154, 26513])).
% 9.16/6.67 tff(26518,plain,
% 9.16/6.67 (node4(s154) | (~until5(s154))),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8112, 36, 26476])).
% 9.16/6.67 tff(26519,plain,
% 9.16/6.67 (~until5(s154)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26518, 26517])).
% 9.16/6.67 tff(26520,plain,
% 9.16/6.67 (~xuntil6(s153)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8121, 26519])).
% 9.16/6.67 tff(26521,assumption,(~always3(s153)), introduced(assumption)).
% 9.16/6.67 tff(26522,plain,
% 9.16/6.67 (~always3(s152)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8159, 26521])).
% 9.16/6.67 tff(26523,plain,
% 9.16/6.67 (~node4(s152)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8163, 22, 26522])).
% 9.16/6.67 tff(26524,plain,
% 9.16/6.67 (xuntil6(s152)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26035, 26523])).
% 9.16/6.67 tff(26525,plain,
% 9.16/6.67 (until5(s153)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8150, 26524])).
% 9.16/6.67 tff(26526,assumption,(~xuntil6(s153)), introduced(assumption)).
% 9.16/6.67 tff(26527,plain,
% 9.16/6.67 (node4(s153) | (~until5(s153))),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8141, 36, 26526])).
% 9.16/6.67 tff(26528,plain,
% 9.16/6.67 (node4(s153)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26527, 26525])).
% 9.16/6.67 tff(26529,plain,
% 9.16/6.67 ($false),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[8134, 22, 26521, 26528])).
% 9.16/6.67 tff(26530,plain,(always3(s153) | xuntil6(s153) | (~until5(s152))), inference(lemma,lemma(discharge,[]))).
% 9.16/6.67 tff(26531,plain,
% 9.16/6.67 (always3(s153)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26530, 26520, 26019])).
% 9.16/6.67 tff(26532,plain,
% 9.16/6.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s153)) | (~m_main_v_state(s153, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s153)) | (~m_main_v_state(s153, c_busy)))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26533,plain,
% 9.16/6.67 (((~m_main_v_state(s153, c_busy)) | (~always3(s153))) <=> ((~always3(s153)) | (~m_main_v_state(s153, c_busy)))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26534,plain,
% 9.16/6.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s153, c_busy)) | (~always3(s153)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s153)) | (~m_main_v_state(s153, c_busy))))),
% 9.16/6.67 inference(monotonicity,[status(thm)],[26533])).
% 9.16/6.67 tff(26535,plain,
% 9.16/6.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s153, c_busy)) | (~always3(s153)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s153)) | (~m_main_v_state(s153, c_busy)))),
% 9.16/6.67 inference(transitivity,[status(thm)],[26534, 26532])).
% 9.16/6.67 tff(26536,plain,
% 9.16/6.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s153, c_busy)) | (~always3(s153)))),
% 9.16/6.67 inference(quant_inst,[status(thm)],[])).
% 9.16/6.67 tff(26537,plain,
% 9.16/6.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s153)) | (~m_main_v_state(s153, c_busy))),
% 9.16/6.67 inference(modus_ponens,[status(thm)],[26536, 26535])).
% 9.16/6.67 tff(26538,plain,
% 9.16/6.67 (~m_main_v_state(s153, c_busy)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26537, 170, 26531])).
% 9.16/6.67 tff(26539,plain,
% 9.16/6.67 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s153, c_busy) | m_main_v_state(s153, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s153, c_busy) | m_main_v_state(s153, c_ready))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26540,plain,
% 9.16/6.67 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s153, c_busy) | m_main_v_state(s153, c_ready))),
% 9.16/6.67 inference(quant_inst,[status(thm)],[])).
% 9.16/6.67 tff(26541,plain,
% 9.16/6.67 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s153, c_busy) | m_main_v_state(s153, c_ready)),
% 9.16/6.67 inference(modus_ponens,[status(thm)],[26540, 26539])).
% 9.16/6.67 tff(26542,plain,
% 9.16/6.67 (m_main_v_state(s153, c_ready)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26541, 213, 26538])).
% 9.16/6.67 tff(26543,plain,
% 9.16/6.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s153, s154)) | node2(s153, s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s153, s154)) | node2(s153, s154))),
% 9.16/6.67 inference(rewrite,[status(thm)],[])).
% 9.16/6.67 tff(26544,plain,
% 9.16/6.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s153, s154)) | node2(s153, s154))),
% 9.16/6.67 inference(quant_inst,[status(thm)],[])).
% 9.16/6.67 tff(26545,plain,
% 9.16/6.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s153, s154)) | node2(s153, s154)),
% 9.16/6.67 inference(modus_ponens,[status(thm)],[26544, 26543])).
% 9.16/6.67 tff(26546,plain,
% 9.16/6.67 (node2(s153, s154)),
% 9.16/6.67 inference(unit_resolution,[status(thm)],[26545, 7, 8126])).
% 9.16/6.67 tff(26547,plain,
% 9.16/6.67 (((~![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(s153, c_ready)) | (~node2(s153, s154)) | m_main_v_state(s154, c_busy) | (~m_main_v_request(s153)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s153, c_ready)) | (~node2(s153, s154)) | m_main_v_state(s154, c_busy) | (~m_main_v_request(s153)))),
% 9.16/6.68 inference(rewrite,[status(thm)],[])).
% 9.16/6.68 tff(26548,plain,
% 9.16/6.68 ((~![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(s153, c_ready)) | (~node2(s153, s154)) | m_main_v_state(s154, c_busy) | (~m_main_v_request(s153)))),
% 9.16/6.68 inference(quant_inst,[status(thm)],[])).
% 9.16/6.68 tff(26549,plain,
% 9.16/6.68 ((~![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(s153, c_ready)) | (~node2(s153, s154)) | m_main_v_state(s154, c_busy) | (~m_main_v_request(s153))),
% 9.16/6.68 inference(modus_ponens,[status(thm)],[26548, 26547])).
% 9.16/6.68 tff(26550,plain,
% 9.16/6.68 ((~m_main_v_state(s153, c_ready)) | m_main_v_state(s154, c_busy) | (~m_main_v_request(s153))),
% 9.16/6.68 inference(unit_resolution,[status(thm)],[26549, 191, 26546])).
% 9.16/6.68 tff(26551,plain,
% 9.16/6.68 (~m_main_v_request(s153)),
% 9.16/6.68 inference(unit_resolution,[status(thm)],[26550, 26542, 26500])).
% 9.16/6.68 tff(26552,plain,
% 9.16/6.68 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s153) | (~node4(s153)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s153) | (~node4(s153)))),
% 9.16/6.68 inference(rewrite,[status(thm)],[])).
% 9.16/6.68 tff(26553,plain,
% 9.16/6.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s153) | (~node4(s153)))),
% 9.16/6.68 inference(quant_inst,[status(thm)],[])).
% 9.16/6.68 tff(26554,plain,
% 9.16/6.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s153) | (~node4(s153))),
% 9.16/6.68 inference(modus_ponens,[status(thm)],[26553, 26552])).
% 9.16/6.68 tff(26555,plain,
% 9.16/6.68 (~node4(s153)),
% 9.16/6.68 inference(unit_resolution,[status(thm)],[26554, 154, 26551])).
% 9.16/6.68 tff(26556,plain,
% 9.16/6.68 (node4(s153) | (~until5(s153))),
% 9.16/6.68 inference(unit_resolution,[status(thm)],[8141, 36, 26520])).
% 9.16/6.68 tff(26557,plain,
% 9.16/6.68 (~until5(s153)),
% 9.16/6.68 inference(unit_resolution,[status(thm)],[26556, 26555])).
% 9.16/6.68 tff(26558,plain,
% 9.16/6.68 (~xuntil6(s152)),
% 9.16/6.68 inference(unit_resolution,[status(thm)],[8150, 26557])).
% 9.16/6.68 tff(26559,plain,
% 9.16/6.68 (node4(s152)),
% 9.16/6.68 inference(unit_resolution,[status(thm)],[26035, 26558])).
% 9.16/6.68 tff(26560,plain,
% 9.16/6.68 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s152) | (~node4(s152)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s152) | (~node4(s152)))),
% 9.16/6.68 inference(rewrite,[status(thm)],[])).
% 9.16/6.68 tff(26561,plain,
% 9.16/6.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s152) | (~node4(s152)))),
% 9.16/6.68 inference(quant_inst,[status(thm)],[])).
% 9.16/6.68 tff(26562,plain,
% 9.16/6.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s152) | (~node4(s152))),
% 9.16/6.68 inference(modus_ponens,[status(thm)],[26561, 26560])).
% 9.16/6.68 tff(26563,plain,
% 9.16/6.68 (m_main_v_request(s152)),
% 9.16/6.68 inference(unit_resolution,[status(thm)],[26562, 154, 26559])).
% 9.16/6.68 tff(26564,plain,
% 9.16/6.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s152, s153)) | node2(s152, s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s152, s153)) | node2(s152, s153))),
% 9.16/6.68 inference(rewrite,[status(thm)],[])).
% 9.16/6.68 tff(26565,plain,
% 9.16/6.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s152, s153)) | node2(s152, s153))),
% 9.16/6.68 inference(quant_inst,[status(thm)],[])).
% 9.16/6.68 tff(26566,plain,
% 9.16/6.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s152, s153)) | node2(s152, s153)),
% 9.16/6.68 inference(modus_ponens,[status(thm)],[26565, 26564])).
% 9.16/6.68 tff(26567,plain,
% 9.16/6.68 (node2(s152, s153)),
% 9.16/6.68 inference(unit_resolution,[status(thm)],[26566, 7, 8155])).
% 9.16/6.68 tff(26568,plain,
% 9.16/6.68 (((~![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(s152, c_ready)) | (~node2(s152, s153)) | m_main_v_state(s153, c_busy) | (~m_main_v_request(s152)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s152, c_ready)) | (~node2(s152, s153)) | m_main_v_state(s153, c_busy) | (~m_main_v_request(s152)))),
% 9.16/6.68 inference(rewrite,[status(thm)],[])).
% 9.24/6.68 tff(26569,plain,
% 9.24/6.68 ((~![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(s152, c_ready)) | (~node2(s152, s153)) | m_main_v_state(s153, c_busy) | (~m_main_v_request(s152)))),
% 9.24/6.68 inference(quant_inst,[status(thm)],[])).
% 9.24/6.68 tff(26570,plain,
% 9.24/6.68 ((~![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(s152, c_ready)) | (~node2(s152, s153)) | m_main_v_state(s153, c_busy) | (~m_main_v_request(s152))),
% 9.24/6.68 inference(modus_ponens,[status(thm)],[26569, 26568])).
% 9.24/6.68 tff(26571,plain,
% 9.24/6.68 ((~m_main_v_state(s152, c_ready)) | m_main_v_state(s153, c_busy) | (~m_main_v_request(s152))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26570, 191, 26567])).
% 9.24/6.68 tff(26572,plain,
% 9.24/6.68 (~m_main_v_state(s152, c_ready)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26571, 26563, 26538])).
% 9.24/6.68 tff(26573,plain,
% 9.24/6.68 (always3(s152)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8163, 22, 26559])).
% 9.24/6.68 tff(26574,plain,
% 9.24/6.68 (~m_main_v_state(s152, c_busy)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[25269, 170, 26573])).
% 9.24/6.68 tff(26575,plain,
% 9.24/6.68 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s152, c_busy) | m_main_v_state(s152, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s152, c_busy) | m_main_v_state(s152, c_ready))),
% 9.24/6.68 inference(rewrite,[status(thm)],[])).
% 9.24/6.68 tff(26576,plain,
% 9.24/6.68 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s152, c_busy) | m_main_v_state(s152, c_ready))),
% 9.24/6.68 inference(quant_inst,[status(thm)],[])).
% 9.24/6.68 tff(26577,plain,
% 9.24/6.68 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s152, c_busy) | m_main_v_state(s152, c_ready)),
% 9.24/6.68 inference(modus_ponens,[status(thm)],[26576, 26575])).
% 9.24/6.68 tff(26578,plain,
% 9.24/6.68 ($false),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26577, 213, 26574, 26572])).
% 9.24/6.68 tff(26579,plain,((~until5(s152)) | xuntil6(s163) | m_main_v_state(s164, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.24/6.68 tff(26580,plain,
% 9.24/6.68 (xuntil6(s163)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26579, 26014, 26019])).
% 9.24/6.68 tff(26581,plain,
% 9.24/6.68 (until5(s164)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7831, 26580])).
% 9.24/6.68 tff(26582,plain,
% 9.24/6.68 (node4(s164)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[25367, 26581])).
% 9.24/6.68 tff(26583,plain,
% 9.24/6.68 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s164) | (~node4(s164)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s164) | (~node4(s164)))),
% 9.24/6.68 inference(rewrite,[status(thm)],[])).
% 9.24/6.68 tff(26584,plain,
% 9.24/6.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s164) | (~node4(s164)))),
% 9.24/6.68 inference(quant_inst,[status(thm)],[])).
% 9.24/6.68 tff(26585,plain,
% 9.24/6.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s164) | (~node4(s164))),
% 9.24/6.68 inference(modus_ponens,[status(thm)],[26584, 26583])).
% 9.24/6.68 tff(26586,plain,
% 9.24/6.68 (m_main_v_request(s164)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26585, 154, 26582])).
% 9.24/6.68 tff(26587,plain,
% 9.24/6.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s164, s165)) | node2(s164, s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s164, s165)) | node2(s164, s165))),
% 9.24/6.68 inference(rewrite,[status(thm)],[])).
% 9.24/6.68 tff(26588,plain,
% 9.24/6.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s164, s165)) | node2(s164, s165))),
% 9.24/6.68 inference(quant_inst,[status(thm)],[])).
% 9.24/6.68 tff(26589,plain,
% 9.24/6.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s164, s165)) | node2(s164, s165)),
% 9.24/6.68 inference(modus_ponens,[status(thm)],[26588, 26587])).
% 9.24/6.68 tff(26590,plain,
% 9.24/6.68 (node2(s164, s165)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26589, 7, 7807])).
% 9.24/6.68 tff(26591,plain,
% 9.24/6.68 (((~![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(s164, c_ready)) | (~node2(s164, s165)) | m_main_v_state(s165, c_busy) | (~m_main_v_request(s164)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s164, c_ready)) | (~node2(s164, s165)) | m_main_v_state(s165, c_busy) | (~m_main_v_request(s164)))),
% 9.24/6.68 inference(rewrite,[status(thm)],[])).
% 9.24/6.68 tff(26592,plain,
% 9.24/6.68 ((~![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(s164, c_ready)) | (~node2(s164, s165)) | m_main_v_state(s165, c_busy) | (~m_main_v_request(s164)))),
% 9.24/6.68 inference(quant_inst,[status(thm)],[])).
% 9.24/6.68 tff(26593,plain,
% 9.24/6.68 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s164, c_ready)) | (~node2(s164, s165)) | m_main_v_state(s165, c_busy) | (~m_main_v_request(s164))),
% 9.24/6.68 inference(modus_ponens,[status(thm)],[26592, 26591])).
% 9.24/6.68 tff(26594,plain,
% 9.24/6.68 ((~m_main_v_state(s164, c_ready)) | m_main_v_state(s165, c_busy) | (~m_main_v_request(s164))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26593, 191, 26590])).
% 9.24/6.68 tff(26595,plain,
% 9.24/6.68 ($false),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26594, 26586, 26018, 26007])).
% 9.24/6.68 tff(26596,plain,(xuntil6(s164) | (~until5(s152))), inference(lemma,lemma(discharge,[]))).
% 9.24/6.68 tff(26597,plain,
% 9.24/6.68 (xuntil6(s164)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26596, 25361])).
% 9.24/6.68 tff(26598,plain,
% 9.24/6.68 (until5(s165)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7802, 26597])).
% 9.24/6.68 tff(26599,assumption,(~xuntil6(s166)), introduced(assumption)).
% 9.24/6.68 tff(26600,assumption,(~always3(s166)), introduced(assumption)).
% 9.24/6.68 tff(26601,plain,
% 9.24/6.68 (~always3(s165)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7782, 26600])).
% 9.24/6.68 tff(26602,plain,
% 9.24/6.68 (~node4(s165)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7786, 22, 26601])).
% 9.24/6.68 tff(26603,plain,
% 9.24/6.68 (~node4(s166)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7757, 22, 26600])).
% 9.24/6.68 tff(26604,plain,
% 9.24/6.68 (node4(s166) | (~until5(s166))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7764, 36, 26599])).
% 9.24/6.68 tff(26605,plain,
% 9.24/6.68 (~until5(s166)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26604, 26603])).
% 9.24/6.68 tff(26606,plain,
% 9.24/6.68 (~xuntil6(s165)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7773, 26605])).
% 9.24/6.68 tff(26607,plain,
% 9.24/6.68 (~until5(s165)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7793, 36, 26606, 26602])).
% 9.24/6.68 tff(26608,plain,
% 9.24/6.68 (~xuntil6(s164)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7802, 26607])).
% 9.24/6.68 tff(26609,plain,
% 9.24/6.68 (~always3(s164)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7811, 26601])).
% 9.24/6.68 tff(26610,plain,
% 9.24/6.68 (~node4(s164)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7815, 22, 26609])).
% 9.24/6.68 tff(26611,plain,
% 9.24/6.68 (xuntil6(s164) | (~until5(s164))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7822, 36, 26610])).
% 9.24/6.68 tff(26612,plain,
% 9.24/6.68 (~until5(s164)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26611, 26608])).
% 9.24/6.68 tff(26613,plain,
% 9.24/6.68 (~xuntil6(s163)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7831, 26612])).
% 9.24/6.68 tff(26614,plain,
% 9.24/6.68 (~always3(s163)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7840, 26609])).
% 9.24/6.68 tff(26615,plain,
% 9.24/6.68 (~node4(s163)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7844, 22, 26614])).
% 9.24/6.68 tff(26616,plain,
% 9.24/6.68 (xuntil6(s163) | (~until5(s163))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7851, 36, 26615])).
% 9.24/6.68 tff(26617,plain,
% 9.24/6.68 (~until5(s163)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26616, 26613])).
% 9.24/6.68 tff(26618,plain,
% 9.24/6.68 (~xuntil6(s162)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7860, 26617])).
% 9.24/6.68 tff(26619,plain,
% 9.24/6.68 (~always3(s162)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7869, 26614])).
% 9.24/6.68 tff(26620,plain,
% 9.24/6.68 (~node4(s162)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7873, 22, 26619])).
% 9.24/6.68 tff(26621,plain,
% 9.24/6.68 (xuntil6(s162) | (~until5(s162))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7880, 36, 26620])).
% 9.24/6.68 tff(26622,plain,
% 9.24/6.68 (~until5(s162)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26621, 26618])).
% 9.24/6.68 tff(26623,plain,
% 9.24/6.68 (~xuntil6(s161)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7889, 26622])).
% 9.24/6.68 tff(26624,plain,
% 9.24/6.68 (~always3(s161)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7898, 26619])).
% 9.24/6.68 tff(26625,plain,
% 9.24/6.68 (~node4(s161)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7902, 22, 26624])).
% 9.24/6.68 tff(26626,plain,
% 9.24/6.68 (xuntil6(s161) | (~until5(s161))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7909, 36, 26625])).
% 9.24/6.68 tff(26627,plain,
% 9.24/6.68 (~until5(s161)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26626, 26623])).
% 9.24/6.68 tff(26628,plain,
% 9.24/6.68 (~xuntil6(s160)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7918, 26627])).
% 9.24/6.68 tff(26629,plain,
% 9.24/6.68 (~always3(s160)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7927, 26624])).
% 9.24/6.68 tff(26630,plain,
% 9.24/6.68 (~node4(s160)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7931, 22, 26629])).
% 9.24/6.68 tff(26631,plain,
% 9.24/6.68 (xuntil6(s160) | (~until5(s160))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7938, 36, 26630])).
% 9.24/6.68 tff(26632,plain,
% 9.24/6.68 (~until5(s160)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26631, 26628])).
% 9.24/6.68 tff(26633,plain,
% 9.24/6.68 (~xuntil6(s159)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7947, 26632])).
% 9.24/6.68 tff(26634,plain,
% 9.24/6.68 (~always3(s159)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7956, 26629])).
% 9.24/6.68 tff(26635,plain,
% 9.24/6.68 (~node4(s159)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7960, 22, 26634])).
% 9.24/6.68 tff(26636,plain,
% 9.24/6.68 (xuntil6(s159) | (~until5(s159))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7967, 36, 26635])).
% 9.24/6.68 tff(26637,plain,
% 9.24/6.68 (~until5(s159)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26636, 26633])).
% 9.24/6.68 tff(26638,plain,
% 9.24/6.68 (~xuntil6(s158)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7976, 26637])).
% 9.24/6.68 tff(26639,plain,
% 9.24/6.68 (~always3(s158)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7985, 26634])).
% 9.24/6.68 tff(26640,plain,
% 9.24/6.68 (~node4(s158)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7989, 22, 26639])).
% 9.24/6.68 tff(26641,plain,
% 9.24/6.68 (xuntil6(s158) | (~until5(s158))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[7996, 36, 26640])).
% 9.24/6.68 tff(26642,plain,
% 9.24/6.68 (~until5(s158)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26641, 26638])).
% 9.24/6.68 tff(26643,plain,
% 9.24/6.68 (~xuntil6(s157)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8005, 26642])).
% 9.24/6.68 tff(26644,plain,
% 9.24/6.68 (~always3(s157)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8014, 26639])).
% 9.24/6.68 tff(26645,plain,
% 9.24/6.68 (~node4(s157)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8018, 22, 26644])).
% 9.24/6.68 tff(26646,plain,
% 9.24/6.68 (xuntil6(s157) | (~until5(s157))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8025, 36, 26645])).
% 9.24/6.68 tff(26647,plain,
% 9.24/6.68 (~until5(s157)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26646, 26643])).
% 9.24/6.68 tff(26648,plain,
% 9.24/6.68 (~xuntil6(s156)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8034, 26647])).
% 9.24/6.68 tff(26649,plain,
% 9.24/6.68 (~always3(s156)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8043, 26644])).
% 9.24/6.68 tff(26650,plain,
% 9.24/6.68 (~node4(s156)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8047, 22, 26649])).
% 9.24/6.68 tff(26651,plain,
% 9.24/6.68 (xuntil6(s156) | (~until5(s156))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8054, 36, 26650])).
% 9.24/6.68 tff(26652,plain,
% 9.24/6.68 (~until5(s156)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26651, 26648])).
% 9.24/6.68 tff(26653,plain,
% 9.24/6.68 (~xuntil6(s155)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8063, 26652])).
% 9.24/6.68 tff(26654,plain,
% 9.24/6.68 (~always3(s155)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8072, 26649])).
% 9.24/6.68 tff(26655,plain,
% 9.24/6.68 (~node4(s155)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8076, 22, 26654])).
% 9.24/6.68 tff(26656,plain,
% 9.24/6.68 (xuntil6(s155) | (~until5(s155))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8083, 36, 26655])).
% 9.24/6.68 tff(26657,plain,
% 9.24/6.68 (~until5(s155)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26656, 26653])).
% 9.24/6.68 tff(26658,plain,
% 9.24/6.68 (~xuntil6(s154)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8092, 26657])).
% 9.24/6.68 tff(26659,plain,
% 9.24/6.68 (~always3(s154)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8101, 26654])).
% 9.24/6.68 tff(26660,plain,
% 9.24/6.68 (~node4(s154)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8105, 22, 26659])).
% 9.24/6.68 tff(26661,plain,
% 9.24/6.68 (xuntil6(s154) | (~until5(s154))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8112, 36, 26660])).
% 9.24/6.68 tff(26662,plain,
% 9.24/6.68 (~until5(s154)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26661, 26658])).
% 9.24/6.68 tff(26663,plain,
% 9.24/6.68 (~xuntil6(s153)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8121, 26662])).
% 9.24/6.68 tff(26664,plain,
% 9.24/6.68 (~always3(s153)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8130, 26659])).
% 9.24/6.68 tff(26665,plain,
% 9.24/6.68 (~node4(s153)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8134, 22, 26664])).
% 9.24/6.68 tff(26666,plain,
% 9.24/6.68 (xuntil6(s153) | (~until5(s153))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8141, 36, 26665])).
% 9.24/6.68 tff(26667,plain,
% 9.24/6.68 (~until5(s153)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26666, 26663])).
% 9.24/6.68 tff(26668,plain,
% 9.24/6.68 (~xuntil6(s152)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8150, 26667])).
% 9.24/6.68 tff(26669,plain,
% 9.24/6.68 (~always3(s152)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8159, 26664])).
% 9.24/6.68 tff(26670,plain,
% 9.24/6.68 (~node4(s152)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8163, 22, 26669])).
% 9.24/6.68 tff(26671,plain,
% 9.24/6.68 (xuntil6(s152) | (~until5(s152))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8170, 36, 26670])).
% 9.24/6.68 tff(26672,plain,
% 9.24/6.68 (~until5(s152)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26671, 26668])).
% 9.24/6.68 tff(26673,plain,
% 9.24/6.68 (~xuntil6(s151)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8179, 26672])).
% 9.24/6.68 tff(26674,plain,
% 9.24/6.68 (~always3(s151)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8188, 26669])).
% 9.24/6.68 tff(26675,plain,
% 9.24/6.68 (~node4(s151)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8192, 22, 26674])).
% 9.24/6.68 tff(26676,plain,
% 9.24/6.68 (xuntil6(s151) | (~until5(s151))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8199, 36, 26675])).
% 9.24/6.68 tff(26677,plain,
% 9.24/6.68 (~until5(s151)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26676, 26673])).
% 9.24/6.68 tff(26678,plain,
% 9.24/6.68 (~xuntil6(s150)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8208, 26677])).
% 9.24/6.68 tff(26679,plain,
% 9.24/6.68 (~always3(s150)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8217, 26674])).
% 9.24/6.68 tff(26680,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[8221, 22, 26679])).
% 9.24/6.68 tff(26681,plain,
% 9.24/6.68 (xuntil6(s150) | (~until5(s150))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8228, 36, 26680])).
% 9.24/6.68 tff(26682,plain,
% 9.24/6.68 (~until5(s150)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26681, 26678])).
% 9.24/6.68 tff(26683,plain,
% 9.24/6.68 (~xuntil6(s149)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8237, 26682])).
% 9.24/6.68 tff(26684,plain,
% 9.24/6.68 (~always3(s149)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8246, 26679])).
% 9.24/6.68 tff(26685,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[8250, 22, 26684])).
% 9.24/6.68 tff(26686,plain,
% 9.24/6.68 (xuntil6(s149) | (~until5(s149))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8257, 36, 26685])).
% 9.24/6.68 tff(26687,plain,
% 9.24/6.68 (~until5(s149)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26686, 26683])).
% 9.24/6.68 tff(26688,plain,
% 9.24/6.68 (~xuntil6(s148)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8266, 26687])).
% 9.24/6.68 tff(26689,plain,
% 9.24/6.68 (~always3(s148)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8275, 26684])).
% 9.24/6.68 tff(26690,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[8279, 22, 26689])).
% 9.24/6.68 tff(26691,plain,
% 9.24/6.68 (xuntil6(s148) | (~until5(s148))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8286, 36, 26690])).
% 9.24/6.68 tff(26692,plain,
% 9.24/6.68 (~until5(s148)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26691, 26688])).
% 9.24/6.68 tff(26693,plain,
% 9.24/6.68 (~xuntil6(s147)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8295, 26692])).
% 9.24/6.68 tff(26694,plain,
% 9.24/6.68 (~always3(s147)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8304, 26689])).
% 9.24/6.68 tff(26695,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[8308, 22, 26694])).
% 9.24/6.68 tff(26696,plain,
% 9.24/6.68 (xuntil6(s147) | (~until5(s147))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8315, 36, 26695])).
% 9.24/6.68 tff(26697,plain,
% 9.24/6.68 (~until5(s147)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26696, 26693])).
% 9.24/6.68 tff(26698,plain,
% 9.24/6.68 (~xuntil6(s146)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8324, 26697])).
% 9.24/6.68 tff(26699,plain,
% 9.24/6.68 (~always3(s146)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8333, 26694])).
% 9.24/6.68 tff(26700,plain,
% 9.24/6.68 (~node4(s146)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8337, 22, 26699])).
% 9.24/6.68 tff(26701,plain,
% 9.24/6.68 (xuntil6(s146) | (~until5(s146))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8344, 36, 26700])).
% 9.24/6.68 tff(26702,plain,
% 9.24/6.68 (~until5(s146)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26701, 26698])).
% 9.24/6.68 tff(26703,plain,
% 9.24/6.68 (~xuntil6(s145)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8353, 26702])).
% 9.24/6.68 tff(26704,plain,
% 9.24/6.68 (~always3(s145)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8362, 26699])).
% 9.24/6.68 tff(26705,plain,
% 9.24/6.68 (~node4(s145)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8366, 22, 26704])).
% 9.24/6.68 tff(26706,plain,
% 9.24/6.68 (xuntil6(s145) | (~until5(s145))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8373, 36, 26705])).
% 9.24/6.68 tff(26707,plain,
% 9.24/6.68 (~until5(s145)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26706, 26703])).
% 9.24/6.68 tff(26708,plain,
% 9.24/6.68 (~xuntil6(s144)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8382, 26707])).
% 9.24/6.68 tff(26709,plain,
% 9.24/6.68 (~always3(s144)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8391, 26704])).
% 9.24/6.68 tff(26710,plain,
% 9.24/6.68 (~node4(s144)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8395, 22, 26709])).
% 9.24/6.68 tff(26711,plain,
% 9.24/6.68 (xuntil6(s144) | (~until5(s144))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8402, 36, 26710])).
% 9.24/6.68 tff(26712,plain,
% 9.24/6.68 (~until5(s144)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26711, 26708])).
% 9.24/6.68 tff(26713,plain,
% 9.24/6.68 (~xuntil6(s143)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8411, 26712])).
% 9.24/6.68 tff(26714,plain,
% 9.24/6.68 (~always3(s143)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8420, 26709])).
% 9.24/6.68 tff(26715,plain,
% 9.24/6.68 (~node4(s143)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8424, 22, 26714])).
% 9.24/6.68 tff(26716,plain,
% 9.24/6.68 (xuntil6(s143) | (~until5(s143))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8431, 36, 26715])).
% 9.24/6.68 tff(26717,plain,
% 9.24/6.68 (~until5(s143)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26716, 26713])).
% 9.24/6.68 tff(26718,plain,
% 9.24/6.68 (~xuntil6(s142)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8440, 26717])).
% 9.24/6.68 tff(26719,plain,
% 9.24/6.68 (~always3(s142)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8449, 26714])).
% 9.24/6.68 tff(26720,plain,
% 9.24/6.68 (~node4(s142)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8453, 22, 26719])).
% 9.24/6.68 tff(26721,plain,
% 9.24/6.68 (xuntil6(s142) | (~until5(s142))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8460, 36, 26720])).
% 9.24/6.68 tff(26722,plain,
% 9.24/6.68 (~until5(s142)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26721, 26718])).
% 9.24/6.68 tff(26723,plain,
% 9.24/6.68 (~xuntil6(s141)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8469, 26722])).
% 9.24/6.68 tff(26724,plain,
% 9.24/6.68 (~always3(s141)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8478, 26719])).
% 9.24/6.68 tff(26725,plain,
% 9.24/6.68 (~node4(s141)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8482, 22, 26724])).
% 9.24/6.68 tff(26726,plain,
% 9.24/6.68 (xuntil6(s141) | (~until5(s141))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8489, 36, 26725])).
% 9.24/6.68 tff(26727,plain,
% 9.24/6.68 (~until5(s141)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26726, 26723])).
% 9.24/6.68 tff(26728,plain,
% 9.24/6.68 (~xuntil6(s140)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8498, 26727])).
% 9.24/6.68 tff(26729,plain,
% 9.24/6.68 (~always3(s140)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8507, 26724])).
% 9.24/6.68 tff(26730,plain,
% 9.24/6.68 (~node4(s140)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8511, 22, 26729])).
% 9.24/6.68 tff(26731,plain,
% 9.24/6.68 (xuntil6(s140) | (~until5(s140))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8518, 36, 26730])).
% 9.24/6.68 tff(26732,plain,
% 9.24/6.68 (~until5(s140)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26731, 26728])).
% 9.24/6.68 tff(26733,plain,
% 9.24/6.68 (~xuntil6(s139)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8527, 26732])).
% 9.24/6.68 tff(26734,plain,
% 9.24/6.68 (~always3(s139)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8536, 26729])).
% 9.24/6.68 tff(26735,plain,
% 9.24/6.68 (~node4(s139)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8540, 22, 26734])).
% 9.24/6.68 tff(26736,plain,
% 9.24/6.68 (xuntil6(s139) | (~until5(s139))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8547, 36, 26735])).
% 9.24/6.68 tff(26737,plain,
% 9.24/6.68 (~until5(s139)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26736, 26733])).
% 9.24/6.68 tff(26738,plain,
% 9.24/6.68 (~xuntil6(s138)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8556, 26737])).
% 9.24/6.68 tff(26739,plain,
% 9.24/6.68 (~always3(s138)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8565, 26734])).
% 9.24/6.68 tff(26740,plain,
% 9.24/6.68 (~node4(s138)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8569, 22, 26739])).
% 9.24/6.68 tff(26741,plain,
% 9.24/6.68 (xuntil6(s138) | (~until5(s138))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8576, 36, 26740])).
% 9.24/6.68 tff(26742,plain,
% 9.24/6.68 (~until5(s138)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26741, 26738])).
% 9.24/6.68 tff(26743,plain,
% 9.24/6.68 (~xuntil6(s137)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8585, 26742])).
% 9.24/6.68 tff(26744,plain,
% 9.24/6.68 (~always3(s137)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8594, 26739])).
% 9.24/6.68 tff(26745,plain,
% 9.24/6.68 (~node4(s137)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8598, 22, 26744])).
% 9.24/6.68 tff(26746,plain,
% 9.24/6.68 (xuntil6(s137) | (~until5(s137))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8605, 36, 26745])).
% 9.24/6.68 tff(26747,plain,
% 9.24/6.68 (~until5(s137)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26746, 26743])).
% 9.24/6.68 tff(26748,plain,
% 9.24/6.68 (~xuntil6(s136)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10896, 26747])).
% 9.24/6.68 tff(26749,plain,
% 9.24/6.68 (~always3(s136)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8618, 26744])).
% 9.24/6.68 tff(26750,plain,
% 9.24/6.68 (~node4(s136)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10883, 22, 26749])).
% 9.24/6.68 tff(26751,plain,
% 9.24/6.68 (xuntil6(s136) | (~until5(s136))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10890, 36, 26750])).
% 9.24/6.68 tff(26752,plain,
% 9.24/6.68 (~until5(s136)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26751, 26748])).
% 9.24/6.68 tff(26753,plain,
% 9.24/6.68 (~xuntil6(s135)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10879, 26752])).
% 9.24/6.68 tff(26754,plain,
% 9.24/6.68 (~always3(s135)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8630, 26749])).
% 9.24/6.68 tff(26755,plain,
% 9.24/6.68 (~node4(s135)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10866, 22, 26754])).
% 9.24/6.68 tff(26756,plain,
% 9.24/6.68 (xuntil6(s135) | (~until5(s135))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10873, 36, 26755])).
% 9.24/6.68 tff(26757,plain,
% 9.24/6.68 (~until5(s135)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26756, 26753])).
% 9.24/6.68 tff(26758,plain,
% 9.24/6.68 (~xuntil6(s134)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10862, 26757])).
% 9.24/6.68 tff(26759,plain,
% 9.24/6.68 (~always3(s134)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8642, 26754])).
% 9.24/6.68 tff(26760,plain,
% 9.24/6.68 (~node4(s134)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10849, 22, 26759])).
% 9.24/6.68 tff(26761,plain,
% 9.24/6.68 (xuntil6(s134) | (~until5(s134))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10856, 36, 26760])).
% 9.24/6.68 tff(26762,plain,
% 9.24/6.68 (~until5(s134)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26761, 26758])).
% 9.24/6.68 tff(26763,plain,
% 9.24/6.68 (~xuntil6(s133)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10845, 26762])).
% 9.24/6.68 tff(26764,plain,
% 9.24/6.68 (~always3(s133)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8654, 26759])).
% 9.24/6.68 tff(26765,plain,
% 9.24/6.68 (~node4(s133)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10832, 22, 26764])).
% 9.24/6.68 tff(26766,plain,
% 9.24/6.68 (xuntil6(s133) | (~until5(s133))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10839, 36, 26765])).
% 9.24/6.68 tff(26767,plain,
% 9.24/6.68 (~until5(s133)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26766, 26763])).
% 9.24/6.68 tff(26768,plain,
% 9.24/6.68 (~xuntil6(s132)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10828, 26767])).
% 9.24/6.68 tff(26769,plain,
% 9.24/6.68 (~always3(s132)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8666, 26764])).
% 9.24/6.68 tff(26770,plain,
% 9.24/6.68 (~node4(s132)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10815, 22, 26769])).
% 9.24/6.68 tff(26771,plain,
% 9.24/6.68 (xuntil6(s132) | (~until5(s132))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10822, 36, 26770])).
% 9.24/6.68 tff(26772,plain,
% 9.24/6.68 (~until5(s132)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26771, 26768])).
% 9.24/6.68 tff(26773,plain,
% 9.24/6.68 (~xuntil6(s131)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10811, 26772])).
% 9.24/6.68 tff(26774,plain,
% 9.24/6.68 (~always3(s131)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8678, 26769])).
% 9.24/6.68 tff(26775,plain,
% 9.24/6.68 (~node4(s131)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10798, 22, 26774])).
% 9.24/6.68 tff(26776,plain,
% 9.24/6.68 (xuntil6(s131) | (~until5(s131))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10805, 36, 26775])).
% 9.24/6.68 tff(26777,plain,
% 9.24/6.68 (~until5(s131)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26776, 26773])).
% 9.24/6.68 tff(26778,plain,
% 9.24/6.68 (~xuntil6(s130)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10794, 26777])).
% 9.24/6.68 tff(26779,plain,
% 9.24/6.68 (~always3(s130)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8690, 26774])).
% 9.24/6.68 tff(26780,plain,
% 9.24/6.68 (~node4(s130)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10781, 22, 26779])).
% 9.24/6.68 tff(26781,plain,
% 9.24/6.68 (xuntil6(s130) | (~until5(s130))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10788, 36, 26780])).
% 9.24/6.68 tff(26782,plain,
% 9.24/6.68 (~until5(s130)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26781, 26778])).
% 9.24/6.68 tff(26783,plain,
% 9.24/6.68 (~xuntil6(s129)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10777, 26782])).
% 9.24/6.68 tff(26784,plain,
% 9.24/6.68 (~always3(s129)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8702, 26779])).
% 9.24/6.68 tff(26785,plain,
% 9.24/6.68 (~node4(s129)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10764, 22, 26784])).
% 9.24/6.68 tff(26786,plain,
% 9.24/6.68 (xuntil6(s129) | (~until5(s129))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10771, 36, 26785])).
% 9.24/6.68 tff(26787,plain,
% 9.24/6.68 (~until5(s129)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26786, 26783])).
% 9.24/6.68 tff(26788,plain,
% 9.24/6.68 (~xuntil6(s128)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10760, 26787])).
% 9.24/6.68 tff(26789,plain,
% 9.24/6.68 (~always3(s128)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8714, 26784])).
% 9.24/6.68 tff(26790,plain,
% 9.24/6.68 (~node4(s128)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10747, 22, 26789])).
% 9.24/6.68 tff(26791,plain,
% 9.24/6.68 (xuntil6(s128) | (~until5(s128))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10754, 36, 26790])).
% 9.24/6.68 tff(26792,plain,
% 9.24/6.68 (~until5(s128)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26791, 26788])).
% 9.24/6.68 tff(26793,plain,
% 9.24/6.68 (~xuntil6(s127)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10743, 26792])).
% 9.24/6.68 tff(26794,plain,
% 9.24/6.68 (~always3(s127)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8726, 26789])).
% 9.24/6.68 tff(26795,plain,
% 9.24/6.68 (~node4(s127)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10730, 22, 26794])).
% 9.24/6.68 tff(26796,plain,
% 9.24/6.68 (xuntil6(s127) | (~until5(s127))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10737, 36, 26795])).
% 9.24/6.68 tff(26797,plain,
% 9.24/6.68 (~until5(s127)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26796, 26793])).
% 9.24/6.68 tff(26798,plain,
% 9.24/6.68 (~xuntil6(s126)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10726, 26797])).
% 9.24/6.68 tff(26799,plain,
% 9.24/6.68 (~always3(s126)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8738, 26794])).
% 9.24/6.68 tff(26800,plain,
% 9.24/6.68 (~node4(s126)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10713, 22, 26799])).
% 9.24/6.68 tff(26801,plain,
% 9.24/6.68 (xuntil6(s126) | (~until5(s126))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10720, 36, 26800])).
% 9.24/6.68 tff(26802,plain,
% 9.24/6.68 (~until5(s126)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26801, 26798])).
% 9.24/6.68 tff(26803,plain,
% 9.24/6.68 (~xuntil6(s125)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10709, 26802])).
% 9.24/6.68 tff(26804,plain,
% 9.24/6.68 (~always3(s125)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8750, 26799])).
% 9.24/6.68 tff(26805,plain,
% 9.24/6.68 (~node4(s125)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10696, 22, 26804])).
% 9.24/6.68 tff(26806,plain,
% 9.24/6.68 (xuntil6(s125) | (~until5(s125))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10703, 36, 26805])).
% 9.24/6.68 tff(26807,plain,
% 9.24/6.68 (~until5(s125)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26806, 26803])).
% 9.24/6.68 tff(26808,plain,
% 9.24/6.68 (~xuntil6(s124)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10692, 26807])).
% 9.24/6.68 tff(26809,plain,
% 9.24/6.68 (~always3(s124)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8762, 26804])).
% 9.24/6.68 tff(26810,plain,
% 9.24/6.68 (~node4(s124)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10679, 22, 26809])).
% 9.24/6.68 tff(26811,plain,
% 9.24/6.68 (xuntil6(s124) | (~until5(s124))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10686, 36, 26810])).
% 9.24/6.68 tff(26812,plain,
% 9.24/6.68 (~until5(s124)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26811, 26808])).
% 9.24/6.68 tff(26813,plain,
% 9.24/6.68 (~xuntil6(s123)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10675, 26812])).
% 9.24/6.68 tff(26814,plain,
% 9.24/6.68 (~always3(s123)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8774, 26809])).
% 9.24/6.68 tff(26815,plain,
% 9.24/6.68 (~node4(s123)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10662, 22, 26814])).
% 9.24/6.68 tff(26816,plain,
% 9.24/6.68 (xuntil6(s123) | (~until5(s123))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10669, 36, 26815])).
% 9.24/6.68 tff(26817,plain,
% 9.24/6.68 (~until5(s123)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26816, 26813])).
% 9.24/6.68 tff(26818,plain,
% 9.24/6.68 (~xuntil6(s122)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10658, 26817])).
% 9.24/6.68 tff(26819,plain,
% 9.24/6.68 (~always3(s122)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8786, 26814])).
% 9.24/6.68 tff(26820,plain,
% 9.24/6.68 (~node4(s122)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10645, 22, 26819])).
% 9.24/6.68 tff(26821,plain,
% 9.24/6.68 (xuntil6(s122) | (~until5(s122))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10652, 36, 26820])).
% 9.24/6.68 tff(26822,plain,
% 9.24/6.68 (~until5(s122)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26821, 26818])).
% 9.24/6.68 tff(26823,plain,
% 9.24/6.68 (~xuntil6(s121)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10641, 26822])).
% 9.24/6.68 tff(26824,plain,
% 9.24/6.68 (~always3(s121)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8798, 26819])).
% 9.24/6.68 tff(26825,plain,
% 9.24/6.68 (~node4(s121)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10628, 22, 26824])).
% 9.24/6.68 tff(26826,plain,
% 9.24/6.68 (xuntil6(s121) | (~until5(s121))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10635, 36, 26825])).
% 9.24/6.68 tff(26827,plain,
% 9.24/6.68 (~until5(s121)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26826, 26823])).
% 9.24/6.68 tff(26828,plain,
% 9.24/6.68 (~xuntil6(s120)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10624, 26827])).
% 9.24/6.68 tff(26829,plain,
% 9.24/6.68 (~always3(s120)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8810, 26824])).
% 9.24/6.68 tff(26830,plain,
% 9.24/6.68 (~node4(s120)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10611, 22, 26829])).
% 9.24/6.68 tff(26831,plain,
% 9.24/6.68 (xuntil6(s120) | (~until5(s120))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10618, 36, 26830])).
% 9.24/6.68 tff(26832,plain,
% 9.24/6.68 (~until5(s120)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26831, 26828])).
% 9.24/6.68 tff(26833,plain,
% 9.24/6.68 (~xuntil6(s119)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10607, 26832])).
% 9.24/6.68 tff(26834,plain,
% 9.24/6.68 (~always3(s119)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8822, 26829])).
% 9.24/6.68 tff(26835,plain,
% 9.24/6.68 (~node4(s119)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10594, 22, 26834])).
% 9.24/6.68 tff(26836,plain,
% 9.24/6.68 (xuntil6(s119) | (~until5(s119))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10601, 36, 26835])).
% 9.24/6.68 tff(26837,plain,
% 9.24/6.68 (~until5(s119)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26836, 26833])).
% 9.24/6.68 tff(26838,plain,
% 9.24/6.68 (~xuntil6(s118)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10590, 26837])).
% 9.24/6.68 tff(26839,plain,
% 9.24/6.68 (~always3(s118)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8834, 26834])).
% 9.24/6.68 tff(26840,plain,
% 9.24/6.68 (~node4(s118)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10577, 22, 26839])).
% 9.24/6.68 tff(26841,plain,
% 9.24/6.68 (xuntil6(s118) | (~until5(s118))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10584, 36, 26840])).
% 9.24/6.68 tff(26842,plain,
% 9.24/6.68 (~until5(s118)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26841, 26838])).
% 9.24/6.68 tff(26843,plain,
% 9.24/6.68 (~xuntil6(s117)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10573, 26842])).
% 9.24/6.68 tff(26844,plain,
% 9.24/6.68 (~always3(s117)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8846, 26839])).
% 9.24/6.68 tff(26845,plain,
% 9.24/6.68 (~node4(s117)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10560, 22, 26844])).
% 9.24/6.68 tff(26846,plain,
% 9.24/6.68 (xuntil6(s117) | (~until5(s117))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10567, 36, 26845])).
% 9.24/6.68 tff(26847,plain,
% 9.24/6.68 (~until5(s117)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26846, 26843])).
% 9.24/6.68 tff(26848,plain,
% 9.24/6.68 (~xuntil6(s116)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10556, 26847])).
% 9.24/6.68 tff(26849,plain,
% 9.24/6.68 (~always3(s116)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8858, 26844])).
% 9.24/6.68 tff(26850,plain,
% 9.24/6.68 (~node4(s116)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10543, 22, 26849])).
% 9.24/6.68 tff(26851,plain,
% 9.24/6.68 (xuntil6(s116) | (~until5(s116))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10550, 36, 26850])).
% 9.24/6.68 tff(26852,plain,
% 9.24/6.68 (~until5(s116)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26851, 26848])).
% 9.24/6.68 tff(26853,plain,
% 9.24/6.68 (~xuntil6(s115)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10539, 26852])).
% 9.24/6.68 tff(26854,plain,
% 9.24/6.68 (~always3(s115)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8870, 26849])).
% 9.24/6.68 tff(26855,plain,
% 9.24/6.68 (~node4(s115)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10526, 22, 26854])).
% 9.24/6.68 tff(26856,plain,
% 9.24/6.68 (xuntil6(s115) | (~until5(s115))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10533, 36, 26855])).
% 9.24/6.68 tff(26857,plain,
% 9.24/6.68 (~until5(s115)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26856, 26853])).
% 9.24/6.68 tff(26858,plain,
% 9.24/6.68 (~xuntil6(s114)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10522, 26857])).
% 9.24/6.68 tff(26859,plain,
% 9.24/6.68 (~always3(s114)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8882, 26854])).
% 9.24/6.68 tff(26860,plain,
% 9.24/6.68 (~node4(s114)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10509, 22, 26859])).
% 9.24/6.68 tff(26861,plain,
% 9.24/6.68 (xuntil6(s114) | (~until5(s114))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10516, 36, 26860])).
% 9.24/6.68 tff(26862,plain,
% 9.24/6.68 (~until5(s114)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26861, 26858])).
% 9.24/6.68 tff(26863,plain,
% 9.24/6.68 (~xuntil6(s113)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10505, 26862])).
% 9.24/6.68 tff(26864,plain,
% 9.24/6.68 (~always3(s113)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8894, 26859])).
% 9.24/6.68 tff(26865,plain,
% 9.24/6.68 (~node4(s113)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10492, 22, 26864])).
% 9.24/6.68 tff(26866,plain,
% 9.24/6.68 (xuntil6(s113) | (~until5(s113))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10499, 36, 26865])).
% 9.24/6.68 tff(26867,plain,
% 9.24/6.68 (~until5(s113)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26866, 26863])).
% 9.24/6.68 tff(26868,plain,
% 9.24/6.68 (~xuntil6(s112)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10488, 26867])).
% 9.24/6.68 tff(26869,plain,
% 9.24/6.68 (~always3(s112)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8906, 26864])).
% 9.24/6.68 tff(26870,plain,
% 9.24/6.68 (~node4(s112)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10475, 22, 26869])).
% 9.24/6.68 tff(26871,plain,
% 9.24/6.68 (xuntil6(s112) | (~until5(s112))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10482, 36, 26870])).
% 9.24/6.68 tff(26872,plain,
% 9.24/6.68 (~until5(s112)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26871, 26868])).
% 9.24/6.68 tff(26873,plain,
% 9.24/6.68 (~xuntil6(s111)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10471, 26872])).
% 9.24/6.68 tff(26874,plain,
% 9.24/6.68 (~always3(s111)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8918, 26869])).
% 9.24/6.68 tff(26875,plain,
% 9.24/6.68 (~node4(s111)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10458, 22, 26874])).
% 9.24/6.68 tff(26876,plain,
% 9.24/6.68 (xuntil6(s111) | (~until5(s111))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10465, 36, 26875])).
% 9.24/6.68 tff(26877,plain,
% 9.24/6.68 (~until5(s111)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26876, 26873])).
% 9.24/6.68 tff(26878,plain,
% 9.24/6.68 (~xuntil6(s110)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10454, 26877])).
% 9.24/6.68 tff(26879,plain,
% 9.24/6.68 (~always3(s110)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8930, 26874])).
% 9.24/6.68 tff(26880,plain,
% 9.24/6.68 (~node4(s110)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10441, 22, 26879])).
% 9.24/6.68 tff(26881,plain,
% 9.24/6.68 (xuntil6(s110) | (~until5(s110))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10448, 36, 26880])).
% 9.24/6.68 tff(26882,plain,
% 9.24/6.68 (~until5(s110)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26881, 26878])).
% 9.24/6.68 tff(26883,plain,
% 9.24/6.68 (~xuntil6(s109)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10437, 26882])).
% 9.24/6.68 tff(26884,plain,
% 9.24/6.68 (~always3(s109)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8942, 26879])).
% 9.24/6.68 tff(26885,plain,
% 9.24/6.68 (~node4(s109)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10424, 22, 26884])).
% 9.24/6.68 tff(26886,plain,
% 9.24/6.68 (xuntil6(s109) | (~until5(s109))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10431, 36, 26885])).
% 9.24/6.68 tff(26887,plain,
% 9.24/6.68 (~until5(s109)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26886, 26883])).
% 9.24/6.68 tff(26888,plain,
% 9.24/6.68 (~xuntil6(s108)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10420, 26887])).
% 9.24/6.68 tff(26889,plain,
% 9.24/6.68 (~always3(s108)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8954, 26884])).
% 9.24/6.68 tff(26890,plain,
% 9.24/6.68 (~node4(s108)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10407, 22, 26889])).
% 9.24/6.68 tff(26891,plain,
% 9.24/6.68 (xuntil6(s108) | (~until5(s108))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10414, 36, 26890])).
% 9.24/6.68 tff(26892,plain,
% 9.24/6.68 (~until5(s108)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26891, 26888])).
% 9.24/6.68 tff(26893,plain,
% 9.24/6.68 (~xuntil6(s107)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10403, 26892])).
% 9.24/6.68 tff(26894,plain,
% 9.24/6.68 (~always3(s107)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8966, 26889])).
% 9.24/6.68 tff(26895,plain,
% 9.24/6.68 (~node4(s107)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10390, 22, 26894])).
% 9.24/6.68 tff(26896,plain,
% 9.24/6.68 (xuntil6(s107) | (~until5(s107))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10397, 36, 26895])).
% 9.24/6.68 tff(26897,plain,
% 9.24/6.68 (~until5(s107)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26896, 26893])).
% 9.24/6.68 tff(26898,plain,
% 9.24/6.68 (~xuntil6(s106)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10386, 26897])).
% 9.24/6.68 tff(26899,plain,
% 9.24/6.68 (~always3(s106)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8978, 26894])).
% 9.24/6.68 tff(26900,plain,
% 9.24/6.68 (~node4(s106)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10373, 22, 26899])).
% 9.24/6.68 tff(26901,plain,
% 9.24/6.68 (xuntil6(s106) | (~until5(s106))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10380, 36, 26900])).
% 9.24/6.68 tff(26902,plain,
% 9.24/6.68 (~until5(s106)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26901, 26898])).
% 9.24/6.68 tff(26903,plain,
% 9.24/6.68 (~xuntil6(s105)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10369, 26902])).
% 9.24/6.68 tff(26904,plain,
% 9.24/6.68 (~always3(s105)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[8990, 26899])).
% 9.24/6.68 tff(26905,plain,
% 9.24/6.68 (~node4(s105)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10356, 22, 26904])).
% 9.24/6.68 tff(26906,plain,
% 9.24/6.68 (xuntil6(s105) | (~until5(s105))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10363, 36, 26905])).
% 9.24/6.68 tff(26907,plain,
% 9.24/6.68 (~until5(s105)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26906, 26903])).
% 9.24/6.68 tff(26908,plain,
% 9.24/6.68 (~xuntil6(s104)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10352, 26907])).
% 9.24/6.68 tff(26909,plain,
% 9.24/6.68 (~always3(s104)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9002, 26904])).
% 9.24/6.68 tff(26910,plain,
% 9.24/6.68 (~node4(s104)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10339, 22, 26909])).
% 9.24/6.68 tff(26911,plain,
% 9.24/6.68 (xuntil6(s104) | (~until5(s104))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10346, 36, 26910])).
% 9.24/6.68 tff(26912,plain,
% 9.24/6.68 (~until5(s104)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26911, 26908])).
% 9.24/6.68 tff(26913,plain,
% 9.24/6.68 (~xuntil6(s103)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10335, 26912])).
% 9.24/6.68 tff(26914,plain,
% 9.24/6.68 (~always3(s103)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9014, 26909])).
% 9.24/6.68 tff(26915,plain,
% 9.24/6.68 (~node4(s103)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10322, 22, 26914])).
% 9.24/6.68 tff(26916,plain,
% 9.24/6.68 (xuntil6(s103) | (~until5(s103))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10329, 36, 26915])).
% 9.24/6.68 tff(26917,plain,
% 9.24/6.68 (~until5(s103)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26916, 26913])).
% 9.24/6.68 tff(26918,plain,
% 9.24/6.68 (~xuntil6(s102)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[10318, 26917])).
% 9.24/6.68 tff(26919,plain,
% 9.24/6.68 (~always3(s102)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9026, 26914])).
% 9.24/6.68 tff(26920,plain,
% 9.24/6.68 (~always3(s101)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9038, 26919])).
% 9.24/6.68 tff(26921,plain,
% 9.24/6.68 (~always3(s100)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9050, 26920])).
% 9.24/6.68 tff(26922,plain,
% 9.24/6.68 (~always3(s99)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9062, 26921])).
% 9.24/6.68 tff(26923,plain,
% 9.24/6.68 (~always3(s98)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9074, 26922])).
% 9.24/6.68 tff(26924,plain,
% 9.24/6.68 (~always3(s97)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9086, 26923])).
% 9.24/6.68 tff(26925,plain,
% 9.24/6.68 (~always3(s96)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9098, 26924])).
% 9.24/6.68 tff(26926,plain,
% 9.24/6.68 (~always3(s95)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9110, 26925])).
% 9.24/6.68 tff(26927,plain,
% 9.24/6.68 (~always3(s94)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9122, 26926])).
% 9.24/6.68 tff(26928,plain,
% 9.24/6.68 (~always3(s93)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9134, 26927])).
% 9.24/6.68 tff(26929,plain,
% 9.24/6.68 (~always3(s92)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9146, 26928])).
% 9.24/6.68 tff(26930,plain,
% 9.24/6.68 (~always3(s91)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9158, 26929])).
% 9.24/6.68 tff(26931,plain,
% 9.24/6.68 (~always3(s90)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9170, 26930])).
% 9.24/6.68 tff(26932,plain,
% 9.24/6.68 (~always3(s89)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9182, 26931])).
% 9.24/6.68 tff(26933,plain,
% 9.24/6.68 (~always3(s88)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9194, 26932])).
% 9.24/6.68 tff(26934,plain,
% 9.24/6.68 (~always3(s87)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9206, 26933])).
% 9.24/6.68 tff(26935,plain,
% 9.24/6.68 (~always3(s86)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9218, 26934])).
% 9.24/6.68 tff(26936,plain,
% 9.24/6.68 (~always3(s85)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9230, 26935])).
% 9.24/6.68 tff(26937,plain,
% 9.24/6.68 (~always3(s84)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9242, 26936])).
% 9.24/6.68 tff(26938,plain,
% 9.24/6.68 (~always3(s83)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9254, 26937])).
% 9.24/6.68 tff(26939,plain,
% 9.24/6.68 (~always3(s82)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9266, 26938])).
% 9.24/6.68 tff(26940,plain,
% 9.24/6.68 (~always3(s81)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9278, 26939])).
% 9.24/6.68 tff(26941,plain,
% 9.24/6.68 (~always3(s80)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9290, 26940])).
% 9.24/6.68 tff(26942,plain,
% 9.24/6.68 (~always3(s79)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9302, 26941])).
% 9.24/6.68 tff(26943,plain,
% 9.24/6.68 (~always3(s78)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9314, 26942])).
% 9.24/6.68 tff(26944,plain,
% 9.24/6.68 (~always3(s77)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9326, 26943])).
% 9.24/6.68 tff(26945,plain,
% 9.24/6.68 (~always3(s76)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9338, 26944])).
% 9.24/6.68 tff(26946,plain,
% 9.24/6.68 (~always3(s75)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9350, 26945])).
% 9.24/6.68 tff(26947,plain,
% 9.24/6.68 (~always3(s74)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9362, 26946])).
% 9.24/6.68 tff(26948,plain,
% 9.24/6.68 (~always3(s73)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9374, 26947])).
% 9.24/6.68 tff(26949,plain,
% 9.24/6.68 (~always3(s72)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9386, 26948])).
% 9.24/6.68 tff(26950,plain,
% 9.24/6.68 (~always3(s71)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9398, 26949])).
% 9.24/6.68 tff(26951,plain,
% 9.24/6.68 (~always3(s70)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9410, 26950])).
% 9.24/6.68 tff(26952,plain,
% 9.24/6.68 (~always3(s69)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9422, 26951])).
% 9.24/6.68 tff(26953,plain,
% 9.24/6.68 (~always3(s68)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9434, 26952])).
% 9.24/6.68 tff(26954,plain,
% 9.24/6.68 (~always3(s67)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9446, 26953])).
% 9.24/6.68 tff(26955,plain,
% 9.24/6.68 (~always3(s66)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9458, 26954])).
% 9.24/6.68 tff(26956,plain,
% 9.24/6.68 (~always3(s65)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9470, 26955])).
% 9.24/6.68 tff(26957,plain,
% 9.24/6.68 (~always3(s64)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9482, 26956])).
% 9.24/6.68 tff(26958,plain,
% 9.24/6.68 (~always3(s63)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9494, 26957])).
% 9.24/6.68 tff(26959,plain,
% 9.24/6.68 (~always3(s62)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9506, 26958])).
% 9.24/6.68 tff(26960,plain,
% 9.24/6.68 (~always3(s61)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9518, 26959])).
% 9.24/6.68 tff(26961,plain,
% 9.24/6.68 (~always3(s60)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9530, 26960])).
% 9.24/6.68 tff(26962,plain,
% 9.24/6.68 (~always3(s59)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9542, 26961])).
% 9.24/6.68 tff(26963,plain,
% 9.24/6.68 (~always3(s58)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9558, 26962])).
% 9.24/6.68 tff(26964,plain,
% 9.24/6.68 (~always3(s57)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[5004, 26963])).
% 9.24/6.68 tff(26965,plain,
% 9.24/6.68 (~always3(s56)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[4870, 26964])).
% 9.24/6.68 tff(26966,plain,
% 9.24/6.68 (~always3(s55)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[4750, 26965])).
% 9.24/6.68 tff(26967,plain,
% 9.24/6.68 (~always3(s54)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[4602, 26966])).
% 9.24/6.68 tff(26968,plain,
% 9.24/6.68 (~always3(s53)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[4647, 26967])).
% 9.24/6.68 tff(26969,plain,
% 9.24/6.68 (~always3(s52)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[4521, 26968])).
% 9.24/6.68 tff(26970,plain,
% 9.24/6.68 (~always3(s51)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[4412, 26969])).
% 9.24/6.68 tff(26971,plain,
% 9.24/6.68 (~always3(s50)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[4363, 26970])).
% 9.24/6.68 tff(26972,plain,
% 9.24/6.68 (~always3(s49)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3944, 26971])).
% 9.24/6.68 tff(26973,plain,
% 9.24/6.68 (~always3(s48)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3754, 26972])).
% 9.24/6.68 tff(26974,plain,
% 9.24/6.68 (~always3(s47)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3799, 26973])).
% 9.24/6.68 tff(26975,plain,
% 9.24/6.68 (~always3(s46)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3828, 26974])).
% 9.24/6.68 tff(26976,plain,
% 9.24/6.68 (~always3(s45)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3857, 26975])).
% 9.24/6.68 tff(26977,plain,
% 9.24/6.68 (~always3(s44)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3886, 26976])).
% 9.24/6.68 tff(26978,plain,
% 9.24/6.68 (~always3(s43)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3705, 26977])).
% 9.24/6.68 tff(26979,plain,
% 9.24/6.68 (~always3(s42)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3618, 26978])).
% 9.24/6.68 tff(26980,plain,
% 9.24/6.68 (~always3(s41)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3559, 26979])).
% 9.24/6.68 tff(26981,plain,
% 9.24/6.68 (~always3(s40)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3474, 26980])).
% 9.24/6.68 tff(26982,plain,
% 9.24/6.68 (~always3(s39)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3424, 26981])).
% 9.24/6.68 tff(26983,plain,
% 9.24/6.68 (~node4(s39)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3428, 22, 26982])).
% 9.24/6.68 tff(26984,plain,
% 9.24/6.68 (~always3(s38)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3233, 26982])).
% 9.24/6.68 tff(26985,plain,
% 9.24/6.68 (~node4(s38)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3219, 22, 26984])).
% 9.24/6.68 tff(26986,plain,
% 9.24/6.68 (~always3(s37)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[2932, 26984])).
% 9.24/6.68 tff(26987,plain,
% 9.24/6.68 (xuntil6(s37)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3202, 26986])).
% 9.24/6.68 tff(26988,plain,
% 9.24/6.68 (until5(s38)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3207, 26987])).
% 9.24/6.68 tff(26989,plain,
% 9.24/6.68 (xuntil6(s38) | node4(s38)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3214, 36, 26988])).
% 9.24/6.68 tff(26990,plain,
% 9.24/6.68 (xuntil6(s38)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26989, 26985])).
% 9.24/6.68 tff(26991,plain,
% 9.24/6.68 (until5(s39)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3410, 26990])).
% 9.24/6.68 tff(26992,plain,
% 9.24/6.68 (xuntil6(s39)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3460, 36, 26991, 26983])).
% 9.24/6.68 tff(26993,plain,
% 9.24/6.68 (until5(s40)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3445, 26992])).
% 9.24/6.68 tff(26994,plain,
% 9.24/6.68 (~node4(s40)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3432, 22, 26981])).
% 9.24/6.68 tff(26995,plain,
% 9.24/6.68 (xuntil6(s40) | (~until5(s40))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3439, 36, 26994])).
% 9.24/6.68 tff(26996,plain,
% 9.24/6.68 (xuntil6(s40)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26995, 26993])).
% 9.24/6.68 tff(26997,plain,
% 9.24/6.68 (until5(s41)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3545, 26996])).
% 9.24/6.68 tff(26998,plain,
% 9.24/6.68 (~node4(s41)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3563, 22, 26980])).
% 9.24/6.68 tff(26999,plain,
% 9.24/6.68 (xuntil6(s41) | (~until5(s41))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3587, 36, 26998])).
% 9.24/6.68 tff(27000,plain,
% 9.24/6.68 (xuntil6(s41)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[26999, 26997])).
% 9.24/6.68 tff(27001,plain,
% 9.24/6.68 (until5(s42)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3580, 27000])).
% 9.24/6.68 tff(27002,plain,
% 9.24/6.68 (~node4(s42)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3567, 22, 26979])).
% 9.24/6.68 tff(27003,plain,
% 9.24/6.68 (xuntil6(s42) | (~until5(s42))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3574, 36, 27002])).
% 9.24/6.68 tff(27004,plain,
% 9.24/6.68 (xuntil6(s42)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27003, 27001])).
% 9.24/6.68 tff(27005,plain,
% 9.24/6.68 (until5(s43)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3684, 27004])).
% 9.24/6.68 tff(27006,plain,
% 9.24/6.68 (~node4(s43)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3693, 22, 26978])).
% 9.24/6.68 tff(27007,plain,
% 9.24/6.68 (xuntil6(s43) | (~until5(s43))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3734, 36, 27006])).
% 9.24/6.68 tff(27008,plain,
% 9.24/6.68 (xuntil6(s43)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27007, 27005])).
% 9.24/6.68 tff(27009,plain,
% 9.24/6.68 (until5(s44)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3740, 27008])).
% 9.24/6.68 tff(27010,plain,
% 9.24/6.68 (~node4(s44)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3890, 22, 26977])).
% 9.24/6.68 tff(27011,plain,
% 9.24/6.68 (xuntil6(s44) | (~until5(s44))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3897, 36, 27010])).
% 9.24/6.68 tff(27012,plain,
% 9.24/6.68 (xuntil6(s44)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27011, 27009])).
% 9.24/6.68 tff(27013,plain,
% 9.24/6.68 (until5(s45)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3877, 27012])).
% 9.24/6.68 tff(27014,plain,
% 9.24/6.68 (~node4(s45)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3861, 22, 26976])).
% 9.24/6.68 tff(27015,plain,
% 9.24/6.68 (xuntil6(s45) | (~until5(s45))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3868, 36, 27014])).
% 9.24/6.68 tff(27016,plain,
% 9.24/6.68 (xuntil6(s45)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27015, 27013])).
% 9.24/6.68 tff(27017,plain,
% 9.24/6.68 (until5(s46)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3848, 27016])).
% 9.24/6.68 tff(27018,plain,
% 9.24/6.68 (~node4(s46)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3832, 22, 26975])).
% 9.24/6.68 tff(27019,plain,
% 9.24/6.68 (xuntil6(s46) | (~until5(s46))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3839, 36, 27018])).
% 9.24/6.68 tff(27020,plain,
% 9.24/6.68 (xuntil6(s46)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27019, 27017])).
% 9.24/6.68 tff(27021,plain,
% 9.24/6.68 (until5(s47)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3819, 27020])).
% 9.24/6.68 tff(27022,plain,
% 9.24/6.68 (~node4(s47)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3803, 22, 26974])).
% 9.24/6.68 tff(27023,plain,
% 9.24/6.68 (xuntil6(s47) | (~until5(s47))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3810, 36, 27022])).
% 9.24/6.68 tff(27024,plain,
% 9.24/6.68 (xuntil6(s47)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27023, 27021])).
% 9.24/6.68 tff(27025,plain,
% 9.24/6.68 (until5(s48)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3790, 27024])).
% 9.24/6.68 tff(27026,plain,
% 9.24/6.68 (~node4(s48)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3758, 22, 26973])).
% 9.24/6.68 tff(27027,plain,
% 9.24/6.68 (xuntil6(s48) | (~until5(s48))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3782, 36, 27026])).
% 9.24/6.68 tff(27028,plain,
% 9.24/6.68 (xuntil6(s48)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27027, 27025])).
% 9.24/6.68 tff(27029,plain,
% 9.24/6.68 (until5(s49)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3775, 27028])).
% 9.24/6.68 tff(27030,plain,
% 9.24/6.68 (~node4(s49)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3762, 22, 26972])).
% 9.24/6.68 tff(27031,plain,
% 9.24/6.68 (xuntil6(s49) | (~until5(s49))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[3769, 36, 27030])).
% 9.24/6.68 tff(27032,plain,
% 9.24/6.68 (xuntil6(s49)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27031, 27029])).
% 9.24/6.68 tff(27033,plain,
% 9.24/6.68 (until5(s50)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[4342, 27032])).
% 9.24/6.68 tff(27034,plain,
% 9.24/6.68 (~node4(s50)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[4351, 22, 26971])).
% 9.24/6.68 tff(27035,plain,
% 9.24/6.68 (xuntil6(s50) | (~until5(s50))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[4392, 36, 27034])).
% 9.24/6.68 tff(27036,plain,
% 9.24/6.68 (xuntil6(s50)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27035, 27033])).
% 9.24/6.68 tff(27037,plain,
% 9.24/6.68 (until5(s51)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[4398, 27036])).
% 9.24/6.68 tff(27038,plain,
% 9.24/6.68 (~node4(s51)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[4416, 22, 26970])).
% 9.24/6.68 tff(27039,plain,
% 9.24/6.68 (xuntil6(s51) | (~until5(s51))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[4440, 36, 27038])).
% 9.24/6.68 tff(27040,plain,
% 9.24/6.68 (xuntil6(s51)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27039, 27037])).
% 9.24/6.68 tff(27041,plain,
% 9.24/6.68 (until5(s52)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[4433, 27040])).
% 9.24/6.68 tff(27042,plain,
% 9.24/6.68 (~node4(s52)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[4420, 22, 26969])).
% 9.24/6.68 tff(27043,plain,
% 9.24/6.68 (xuntil6(s52) | (~until5(s52))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[4427, 36, 27042])).
% 9.24/6.68 tff(27044,plain,
% 9.24/6.68 (xuntil6(s52)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27043, 27041])).
% 9.24/6.68 tff(27045,plain,
% 9.24/6.68 (until5(s53)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[4587, 27044])).
% 9.24/6.68 tff(27046,plain,
% 9.24/6.68 (~node4(s53)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[4651, 22, 26968])).
% 9.24/6.68 tff(27047,plain,
% 9.24/6.68 (xuntil6(s53) | (~until5(s53))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[4658, 36, 27046])).
% 9.24/6.68 tff(27048,plain,
% 9.24/6.68 (xuntil6(s53)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27047, 27045])).
% 9.24/6.68 tff(27049,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[4638, 27048])).
% 9.24/6.68 tff(27050,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[4606, 22, 26967])).
% 9.24/6.68 tff(27051,plain,
% 9.24/6.68 (xuntil6(s54) | (~until5(s54))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[4630, 36, 27050])).
% 9.24/6.68 tff(27052,plain,
% 9.24/6.68 (xuntil6(s54)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27051, 27049])).
% 9.24/6.68 tff(27053,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[4623, 27052])).
% 9.24/6.68 tff(27054,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[4610, 22, 26966])).
% 9.24/6.68 tff(27055,plain,
% 9.24/6.68 (xuntil6(s55) | (~until5(s55))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[4617, 36, 27054])).
% 9.24/6.68 tff(27056,plain,
% 9.24/6.68 (xuntil6(s55)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27055, 27053])).
% 9.24/6.68 tff(27057,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[4856, 27056])).
% 9.24/6.68 tff(27058,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[4874, 22, 26965])).
% 9.24/6.68 tff(27059,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[4898, 36, 27058])).
% 9.24/6.68 tff(27060,plain,
% 9.24/6.68 (xuntil6(s56)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27059, 27057])).
% 9.24/6.68 tff(27061,plain,
% 9.24/6.68 (until5(s57)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[4891, 27060])).
% 9.24/6.68 tff(27062,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[4878, 22, 26964])).
% 9.24/6.68 tff(27063,plain,
% 9.24/6.68 (xuntil6(s57) | (~until5(s57))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[4885, 36, 27062])).
% 9.24/6.68 tff(27064,plain,
% 9.24/6.68 (xuntil6(s57)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27063, 27061])).
% 9.24/6.68 tff(27065,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[5070, 27064])).
% 9.24/6.68 tff(27066,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[9562, 22, 26963])).
% 9.24/6.68 tff(27067,plain,
% 9.24/6.68 (xuntil6(s58) | (~until5(s58))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9569, 36, 27066])).
% 9.24/6.68 tff(27068,plain,
% 9.24/6.68 (xuntil6(s58)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27067, 27065])).
% 9.24/6.68 tff(27069,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[9575, 27068])).
% 9.24/6.68 tff(27070,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[9546, 22, 26962])).
% 9.24/6.68 tff(27071,plain,
% 9.24/6.68 (xuntil6(s59) | (~until5(s59))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9582, 36, 27070])).
% 9.24/6.68 tff(27072,plain,
% 9.24/6.68 (xuntil6(s59)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27071, 27069])).
% 9.24/6.68 tff(27073,plain,
% 9.24/6.68 (until5(s60)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9587, 27072])).
% 9.24/6.68 tff(27074,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[9591, 22, 26961])).
% 9.24/6.68 tff(27075,plain,
% 9.24/6.68 (xuntil6(s60) | (~until5(s60))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9598, 36, 27074])).
% 9.24/6.68 tff(27076,plain,
% 9.24/6.68 (xuntil6(s60)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27075, 27073])).
% 9.24/6.68 tff(27077,plain,
% 9.24/6.68 (until5(s61)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9604, 27076])).
% 9.24/6.68 tff(27078,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[9608, 22, 26960])).
% 9.24/6.68 tff(27079,plain,
% 9.24/6.68 (xuntil6(s61) | (~until5(s61))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9615, 36, 27078])).
% 9.24/6.68 tff(27080,plain,
% 9.24/6.68 (xuntil6(s61)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27079, 27077])).
% 9.24/6.68 tff(27081,plain,
% 9.24/6.68 (until5(s62)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9621, 27080])).
% 9.24/6.68 tff(27082,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[9625, 22, 26959])).
% 9.24/6.68 tff(27083,plain,
% 9.24/6.68 (xuntil6(s62) | (~until5(s62))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9632, 36, 27082])).
% 9.24/6.68 tff(27084,plain,
% 9.24/6.68 (xuntil6(s62)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27083, 27081])).
% 9.24/6.68 tff(27085,plain,
% 9.24/6.68 (until5(s63)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9638, 27084])).
% 9.24/6.68 tff(27086,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[9642, 22, 26958])).
% 9.24/6.68 tff(27087,plain,
% 9.24/6.68 (xuntil6(s63) | (~until5(s63))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9649, 36, 27086])).
% 9.24/6.68 tff(27088,plain,
% 9.24/6.68 (xuntil6(s63)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27087, 27085])).
% 9.24/6.68 tff(27089,plain,
% 9.24/6.68 (until5(s64)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9655, 27088])).
% 9.24/6.68 tff(27090,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[9659, 22, 26957])).
% 9.24/6.68 tff(27091,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[9666, 36, 27090])).
% 9.24/6.68 tff(27092,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[27091, 27089])).
% 9.24/6.68 tff(27093,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[9672, 27092])).
% 9.24/6.68 tff(27094,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[9676, 22, 26956])).
% 9.24/6.68 tff(27095,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[9683, 36, 27094])).
% 9.24/6.68 tff(27096,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[27095, 27093])).
% 9.24/6.68 tff(27097,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[9689, 27096])).
% 9.24/6.68 tff(27098,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[9693, 22, 26955])).
% 9.24/6.68 tff(27099,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[9700, 36, 27098])).
% 9.24/6.68 tff(27100,plain,
% 9.24/6.68 (xuntil6(s66)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27099, 27097])).
% 9.24/6.68 tff(27101,plain,
% 9.24/6.68 (until5(s67)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9706, 27100])).
% 9.24/6.68 tff(27102,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[9710, 22, 26954])).
% 9.24/6.68 tff(27103,plain,
% 9.24/6.68 (xuntil6(s67) | (~until5(s67))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9717, 36, 27102])).
% 9.24/6.68 tff(27104,plain,
% 9.24/6.68 (xuntil6(s67)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27103, 27101])).
% 9.24/6.68 tff(27105,plain,
% 9.24/6.68 (until5(s68)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9723, 27104])).
% 9.24/6.68 tff(27106,plain,
% 9.24/6.68 (~node4(s68)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9727, 22, 26953])).
% 9.24/6.68 tff(27107,plain,
% 9.24/6.68 (xuntil6(s68) | (~until5(s68))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9734, 36, 27106])).
% 9.24/6.68 tff(27108,plain,
% 9.24/6.68 (xuntil6(s68)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27107, 27105])).
% 9.24/6.68 tff(27109,plain,
% 9.24/6.68 (until5(s69)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9740, 27108])).
% 9.24/6.68 tff(27110,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[9744, 22, 26952])).
% 9.24/6.68 tff(27111,plain,
% 9.24/6.68 (xuntil6(s69) | (~until5(s69))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9751, 36, 27110])).
% 9.24/6.68 tff(27112,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[27111, 27109])).
% 9.24/6.68 tff(27113,plain,
% 9.24/6.68 (until5(s70)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9757, 27112])).
% 9.24/6.68 tff(27114,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[9761, 22, 26951])).
% 9.24/6.68 tff(27115,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[9768, 36, 27114])).
% 9.24/6.68 tff(27116,plain,
% 9.24/6.68 (xuntil6(s70)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27115, 27113])).
% 9.24/6.68 tff(27117,plain,
% 9.24/6.68 (until5(s71)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9774, 27116])).
% 9.24/6.68 tff(27118,plain,
% 9.24/6.68 (~node4(s71)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9778, 22, 26950])).
% 9.24/6.68 tff(27119,plain,
% 9.24/6.68 (xuntil6(s71) | (~until5(s71))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9785, 36, 27118])).
% 9.24/6.68 tff(27120,plain,
% 9.24/6.68 (xuntil6(s71)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27119, 27117])).
% 9.24/6.68 tff(27121,plain,
% 9.24/6.68 (until5(s72)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9791, 27120])).
% 9.24/6.68 tff(27122,plain,
% 9.24/6.68 (~node4(s72)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9795, 22, 26949])).
% 9.24/6.68 tff(27123,plain,
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% 9.24/6.68 inference(unit_resolution,[status(thm)],[9802, 36, 27122])).
% 9.24/6.68 tff(27124,plain,
% 9.24/6.68 (xuntil6(s72)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27123, 27121])).
% 9.24/6.68 tff(27125,plain,
% 9.24/6.68 (until5(s73)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9808, 27124])).
% 9.24/6.68 tff(27126,plain,
% 9.24/6.68 (~node4(s73)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9812, 22, 26948])).
% 9.24/6.68 tff(27127,plain,
% 9.24/6.68 (xuntil6(s73) | (~until5(s73))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9819, 36, 27126])).
% 9.24/6.68 tff(27128,plain,
% 9.24/6.68 (xuntil6(s73)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27127, 27125])).
% 9.24/6.68 tff(27129,plain,
% 9.24/6.68 (until5(s74)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9825, 27128])).
% 9.24/6.68 tff(27130,plain,
% 9.24/6.68 (~node4(s74)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9829, 22, 26947])).
% 9.24/6.68 tff(27131,plain,
% 9.24/6.68 (xuntil6(s74) | (~until5(s74))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9836, 36, 27130])).
% 9.24/6.68 tff(27132,plain,
% 9.24/6.68 (xuntil6(s74)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[27131, 27129])).
% 9.24/6.68 tff(27133,plain,
% 9.24/6.68 (until5(s75)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9842, 27132])).
% 9.24/6.68 tff(27134,plain,
% 9.24/6.68 (~node4(s75)),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9846, 22, 26946])).
% 9.24/6.68 tff(27135,plain,
% 9.24/6.68 (xuntil6(s75) | (~until5(s75))),
% 9.24/6.68 inference(unit_resolution,[status(thm)],[9853, 36, 27134])).
% 9.24/6.68 tff(27136,plain,
% 9.24/6.68 (xuntil6(s75)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27135, 27133])).
% 9.24/6.69 tff(27137,plain,
% 9.24/6.69 (until5(s76)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9859, 27136])).
% 9.24/6.69 tff(27138,plain,
% 9.24/6.69 (~node4(s76)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9863, 22, 26945])).
% 9.24/6.69 tff(27139,plain,
% 9.24/6.69 (xuntil6(s76) | (~until5(s76))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9870, 36, 27138])).
% 9.24/6.69 tff(27140,plain,
% 9.24/6.69 (xuntil6(s76)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27139, 27137])).
% 9.24/6.69 tff(27141,plain,
% 9.24/6.69 (until5(s77)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9876, 27140])).
% 9.24/6.69 tff(27142,plain,
% 9.24/6.69 (~node4(s77)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9880, 22, 26944])).
% 9.24/6.69 tff(27143,plain,
% 9.24/6.69 (xuntil6(s77) | (~until5(s77))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9887, 36, 27142])).
% 9.24/6.69 tff(27144,plain,
% 9.24/6.69 (xuntil6(s77)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27143, 27141])).
% 9.24/6.69 tff(27145,plain,
% 9.24/6.69 (until5(s78)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9893, 27144])).
% 9.24/6.69 tff(27146,plain,
% 9.24/6.69 (~node4(s78)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9897, 22, 26943])).
% 9.24/6.69 tff(27147,plain,
% 9.24/6.69 (xuntil6(s78) | (~until5(s78))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9904, 36, 27146])).
% 9.24/6.69 tff(27148,plain,
% 9.24/6.69 (xuntil6(s78)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27147, 27145])).
% 9.24/6.69 tff(27149,plain,
% 9.24/6.69 (until5(s79)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9910, 27148])).
% 9.24/6.69 tff(27150,plain,
% 9.24/6.69 (~node4(s79)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9914, 22, 26942])).
% 9.24/6.69 tff(27151,plain,
% 9.24/6.69 (xuntil6(s79) | (~until5(s79))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9921, 36, 27150])).
% 9.24/6.69 tff(27152,plain,
% 9.24/6.69 (xuntil6(s79)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27151, 27149])).
% 9.24/6.69 tff(27153,plain,
% 9.24/6.69 (until5(s80)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9927, 27152])).
% 9.24/6.69 tff(27154,plain,
% 9.24/6.69 (~node4(s80)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9931, 22, 26941])).
% 9.24/6.69 tff(27155,plain,
% 9.24/6.69 (xuntil6(s80) | (~until5(s80))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9938, 36, 27154])).
% 9.24/6.69 tff(27156,plain,
% 9.24/6.69 (xuntil6(s80)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27155, 27153])).
% 9.24/6.69 tff(27157,plain,
% 9.24/6.69 (until5(s81)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9944, 27156])).
% 9.24/6.69 tff(27158,plain,
% 9.24/6.69 (~node4(s81)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9948, 22, 26940])).
% 9.24/6.69 tff(27159,plain,
% 9.24/6.69 (xuntil6(s81) | (~until5(s81))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9955, 36, 27158])).
% 9.24/6.69 tff(27160,plain,
% 9.24/6.69 (xuntil6(s81)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27159, 27157])).
% 9.24/6.69 tff(27161,plain,
% 9.24/6.69 (until5(s82)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9961, 27160])).
% 9.24/6.69 tff(27162,plain,
% 9.24/6.69 (~node4(s82)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9965, 22, 26939])).
% 9.24/6.69 tff(27163,plain,
% 9.24/6.69 (xuntil6(s82) | (~until5(s82))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9972, 36, 27162])).
% 9.24/6.69 tff(27164,plain,
% 9.24/6.69 (xuntil6(s82)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27163, 27161])).
% 9.24/6.69 tff(27165,plain,
% 9.24/6.69 (until5(s83)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9978, 27164])).
% 9.24/6.69 tff(27166,plain,
% 9.24/6.69 (~node4(s83)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9982, 22, 26938])).
% 9.24/6.69 tff(27167,plain,
% 9.24/6.69 (xuntil6(s83) | (~until5(s83))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9989, 36, 27166])).
% 9.24/6.69 tff(27168,plain,
% 9.24/6.69 (xuntil6(s83)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27167, 27165])).
% 9.24/6.69 tff(27169,plain,
% 9.24/6.69 (until5(s84)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9995, 27168])).
% 9.24/6.69 tff(27170,plain,
% 9.24/6.69 (~node4(s84)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9999, 22, 26937])).
% 9.24/6.69 tff(27171,plain,
% 9.24/6.69 (xuntil6(s84) | (~until5(s84))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10006, 36, 27170])).
% 9.24/6.69 tff(27172,plain,
% 9.24/6.69 (xuntil6(s84)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27171, 27169])).
% 9.24/6.69 tff(27173,plain,
% 9.24/6.69 (until5(s85)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10012, 27172])).
% 9.24/6.69 tff(27174,plain,
% 9.24/6.69 (~node4(s85)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10016, 22, 26936])).
% 9.24/6.69 tff(27175,plain,
% 9.24/6.69 (xuntil6(s85) | (~until5(s85))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10023, 36, 27174])).
% 9.24/6.69 tff(27176,plain,
% 9.24/6.69 (xuntil6(s85)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27175, 27173])).
% 9.24/6.69 tff(27177,plain,
% 9.24/6.69 (until5(s86)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10029, 27176])).
% 9.24/6.69 tff(27178,plain,
% 9.24/6.69 (~node4(s86)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10033, 22, 26935])).
% 9.24/6.69 tff(27179,plain,
% 9.24/6.69 (xuntil6(s86) | (~until5(s86))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10040, 36, 27178])).
% 9.24/6.69 tff(27180,plain,
% 9.24/6.69 (xuntil6(s86)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27179, 27177])).
% 9.24/6.69 tff(27181,plain,
% 9.24/6.69 (until5(s87)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10046, 27180])).
% 9.24/6.69 tff(27182,plain,
% 9.24/6.69 (~node4(s87)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10050, 22, 26934])).
% 9.24/6.69 tff(27183,plain,
% 9.24/6.69 (xuntil6(s87) | (~until5(s87))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10057, 36, 27182])).
% 9.24/6.69 tff(27184,plain,
% 9.24/6.69 (xuntil6(s87)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27183, 27181])).
% 9.24/6.69 tff(27185,plain,
% 9.24/6.69 (until5(s88)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10063, 27184])).
% 9.24/6.69 tff(27186,plain,
% 9.24/6.69 (~node4(s88)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10067, 22, 26933])).
% 9.24/6.69 tff(27187,plain,
% 9.24/6.69 (xuntil6(s88) | (~until5(s88))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10074, 36, 27186])).
% 9.24/6.69 tff(27188,plain,
% 9.24/6.69 (xuntil6(s88)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27187, 27185])).
% 9.24/6.69 tff(27189,plain,
% 9.24/6.69 (until5(s89)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10080, 27188])).
% 9.24/6.69 tff(27190,plain,
% 9.24/6.69 (~node4(s89)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10084, 22, 26932])).
% 9.24/6.69 tff(27191,plain,
% 9.24/6.69 (xuntil6(s89) | (~until5(s89))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10091, 36, 27190])).
% 9.24/6.69 tff(27192,plain,
% 9.24/6.69 (xuntil6(s89)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27191, 27189])).
% 9.24/6.69 tff(27193,plain,
% 9.24/6.69 (until5(s90)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10097, 27192])).
% 9.24/6.69 tff(27194,plain,
% 9.24/6.69 (~node4(s90)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10101, 22, 26931])).
% 9.24/6.69 tff(27195,plain,
% 9.24/6.69 (xuntil6(s90) | (~until5(s90))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10108, 36, 27194])).
% 9.24/6.69 tff(27196,plain,
% 9.24/6.69 (xuntil6(s90)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27195, 27193])).
% 9.24/6.69 tff(27197,plain,
% 9.24/6.69 (until5(s91)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10114, 27196])).
% 9.24/6.69 tff(27198,plain,
% 9.24/6.69 (~node4(s91)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10118, 22, 26930])).
% 9.24/6.69 tff(27199,plain,
% 9.24/6.69 (xuntil6(s91) | (~until5(s91))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10125, 36, 27198])).
% 9.24/6.69 tff(27200,plain,
% 9.24/6.69 (xuntil6(s91)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27199, 27197])).
% 9.24/6.69 tff(27201,plain,
% 9.24/6.69 (until5(s92)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10131, 27200])).
% 9.24/6.69 tff(27202,plain,
% 9.24/6.69 (~node4(s92)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10135, 22, 26929])).
% 9.24/6.69 tff(27203,plain,
% 9.24/6.69 (xuntil6(s92) | (~until5(s92))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10142, 36, 27202])).
% 9.24/6.69 tff(27204,plain,
% 9.24/6.69 (xuntil6(s92)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27203, 27201])).
% 9.24/6.69 tff(27205,plain,
% 9.24/6.69 (until5(s93)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10148, 27204])).
% 9.24/6.69 tff(27206,plain,
% 9.24/6.69 (~node4(s93)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10152, 22, 26928])).
% 9.24/6.69 tff(27207,plain,
% 9.24/6.69 (xuntil6(s93) | (~until5(s93))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10159, 36, 27206])).
% 9.24/6.69 tff(27208,plain,
% 9.24/6.69 (xuntil6(s93)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27207, 27205])).
% 9.24/6.69 tff(27209,plain,
% 9.24/6.69 (until5(s94)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10165, 27208])).
% 9.24/6.69 tff(27210,plain,
% 9.24/6.69 (~node4(s94)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10169, 22, 26927])).
% 9.24/6.69 tff(27211,plain,
% 9.24/6.69 (xuntil6(s94) | (~until5(s94))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10176, 36, 27210])).
% 9.24/6.69 tff(27212,plain,
% 9.24/6.69 (xuntil6(s94)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27211, 27209])).
% 9.24/6.69 tff(27213,plain,
% 9.24/6.69 (until5(s95)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10182, 27212])).
% 9.24/6.69 tff(27214,plain,
% 9.24/6.69 (~node4(s95)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10186, 22, 26926])).
% 9.24/6.69 tff(27215,plain,
% 9.24/6.69 (xuntil6(s95) | (~until5(s95))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10193, 36, 27214])).
% 9.24/6.69 tff(27216,plain,
% 9.24/6.69 (xuntil6(s95)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27215, 27213])).
% 9.24/6.69 tff(27217,plain,
% 9.24/6.69 (until5(s96)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10199, 27216])).
% 9.24/6.69 tff(27218,plain,
% 9.24/6.69 (~node4(s96)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10203, 22, 26925])).
% 9.24/6.69 tff(27219,plain,
% 9.24/6.69 (xuntil6(s96) | (~until5(s96))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10210, 36, 27218])).
% 9.24/6.69 tff(27220,plain,
% 9.24/6.69 (xuntil6(s96)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27219, 27217])).
% 9.24/6.69 tff(27221,plain,
% 9.24/6.69 (until5(s97)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10216, 27220])).
% 9.24/6.69 tff(27222,plain,
% 9.24/6.69 (~node4(s97)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10220, 22, 26924])).
% 9.24/6.69 tff(27223,plain,
% 9.24/6.69 (xuntil6(s97) | (~until5(s97))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10227, 36, 27222])).
% 9.24/6.69 tff(27224,plain,
% 9.24/6.69 (xuntil6(s97)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27223, 27221])).
% 9.24/6.69 tff(27225,plain,
% 9.24/6.69 (until5(s98)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10233, 27224])).
% 9.24/6.69 tff(27226,plain,
% 9.24/6.69 (~node4(s98)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10237, 22, 26923])).
% 9.24/6.69 tff(27227,plain,
% 9.24/6.69 (xuntil6(s98) | (~until5(s98))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10244, 36, 27226])).
% 9.24/6.69 tff(27228,plain,
% 9.24/6.69 (xuntil6(s98)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27227, 27225])).
% 9.24/6.69 tff(27229,plain,
% 9.24/6.69 (until5(s99)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10250, 27228])).
% 9.24/6.69 tff(27230,plain,
% 9.24/6.69 (~node4(s99)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10254, 22, 26922])).
% 9.24/6.69 tff(27231,plain,
% 9.24/6.69 (xuntil6(s99) | (~until5(s99))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10261, 36, 27230])).
% 9.24/6.69 tff(27232,plain,
% 9.24/6.69 (xuntil6(s99)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27231, 27229])).
% 9.24/6.69 tff(27233,plain,
% 9.24/6.69 (until5(s100)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10267, 27232])).
% 9.24/6.69 tff(27234,plain,
% 9.24/6.69 (~node4(s100)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10271, 22, 26921])).
% 9.24/6.69 tff(27235,plain,
% 9.24/6.69 (xuntil6(s100) | (~until5(s100))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10278, 36, 27234])).
% 9.24/6.69 tff(27236,plain,
% 9.24/6.69 (xuntil6(s100)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27235, 27233])).
% 9.24/6.69 tff(27237,plain,
% 9.24/6.69 (until5(s101)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10284, 27236])).
% 9.24/6.69 tff(27238,plain,
% 9.24/6.69 (~node4(s101)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10288, 22, 26920])).
% 9.24/6.69 tff(27239,plain,
% 9.24/6.69 (xuntil6(s101) | (~until5(s101))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10295, 36, 27238])).
% 9.24/6.69 tff(27240,plain,
% 9.24/6.69 (xuntil6(s101)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27239, 27237])).
% 9.24/6.69 tff(27241,plain,
% 9.24/6.69 (until5(s102)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10301, 27240])).
% 9.24/6.69 tff(27242,plain,
% 9.24/6.69 (~node4(s102)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10305, 22, 26919])).
% 9.24/6.69 tff(27243,plain,
% 9.24/6.69 (xuntil6(s102) | (~until5(s102))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10312, 36, 27242])).
% 9.24/6.69 tff(27244,plain,
% 9.24/6.69 ($false),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27243, 27241, 26918])).
% 9.24/6.69 tff(27245,plain,(always3(s166) | xuntil6(s166)), inference(lemma,lemma(discharge,[]))).
% 9.24/6.69 tff(27246,plain,
% 9.24/6.69 (always3(s166)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27245, 26599])).
% 9.24/6.69 tff(27247,plain,
% 9.24/6.69 (always3(s167)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7753, 27246])).
% 9.24/6.69 tff(27248,plain,
% 9.24/6.69 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s167)) | (~m_main_v_state(s167, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s167)) | (~m_main_v_state(s167, c_busy)))),
% 9.24/6.69 inference(rewrite,[status(thm)],[])).
% 9.24/6.69 tff(27249,plain,
% 9.24/6.69 (((~m_main_v_state(s167, c_busy)) | (~always3(s167))) <=> ((~always3(s167)) | (~m_main_v_state(s167, c_busy)))),
% 9.24/6.69 inference(rewrite,[status(thm)],[])).
% 9.24/6.69 tff(27250,plain,
% 9.24/6.69 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s167, c_busy)) | (~always3(s167)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s167)) | (~m_main_v_state(s167, c_busy))))),
% 9.24/6.69 inference(monotonicity,[status(thm)],[27249])).
% 9.24/6.69 tff(27251,plain,
% 9.24/6.69 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s167, c_busy)) | (~always3(s167)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s167)) | (~m_main_v_state(s167, c_busy)))),
% 9.24/6.69 inference(transitivity,[status(thm)],[27250, 27248])).
% 9.24/6.69 tff(27252,plain,
% 9.24/6.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s167, c_busy)) | (~always3(s167)))),
% 9.24/6.69 inference(quant_inst,[status(thm)],[])).
% 9.24/6.69 tff(27253,plain,
% 9.24/6.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s167)) | (~m_main_v_state(s167, c_busy))),
% 9.24/6.69 inference(modus_ponens,[status(thm)],[27252, 27251])).
% 9.24/6.69 tff(27254,plain,
% 9.24/6.69 (~m_main_v_state(s167, c_busy)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27253, 170, 27247])).
% 9.24/6.69 tff(27255,plain,
% 9.24/6.69 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s166)) | (~m_main_v_state(s166, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s166)) | (~m_main_v_state(s166, c_busy)))),
% 9.24/6.69 inference(rewrite,[status(thm)],[])).
% 9.24/6.69 tff(27256,plain,
% 9.24/6.69 (((~m_main_v_state(s166, c_busy)) | (~always3(s166))) <=> ((~always3(s166)) | (~m_main_v_state(s166, c_busy)))),
% 9.24/6.69 inference(rewrite,[status(thm)],[])).
% 9.24/6.69 tff(27257,plain,
% 9.24/6.69 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s166, c_busy)) | (~always3(s166)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s166)) | (~m_main_v_state(s166, c_busy))))),
% 9.24/6.69 inference(monotonicity,[status(thm)],[27256])).
% 9.24/6.69 tff(27258,plain,
% 9.24/6.69 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s166, c_busy)) | (~always3(s166)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s166)) | (~m_main_v_state(s166, c_busy)))),
% 9.24/6.69 inference(transitivity,[status(thm)],[27257, 27255])).
% 9.24/6.69 tff(27259,plain,
% 9.24/6.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s166, c_busy)) | (~always3(s166)))),
% 9.24/6.69 inference(quant_inst,[status(thm)],[])).
% 9.24/6.69 tff(27260,plain,
% 9.24/6.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s166)) | (~m_main_v_state(s166, c_busy))),
% 9.24/6.69 inference(modus_ponens,[status(thm)],[27259, 27258])).
% 9.24/6.69 tff(27261,plain,
% 9.24/6.69 (~m_main_v_state(s166, c_busy)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27260, 170, 27246])).
% 9.24/6.69 tff(27262,plain,
% 9.24/6.69 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s166, c_busy) | m_main_v_state(s166, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s166, c_busy) | m_main_v_state(s166, c_ready))),
% 9.24/6.69 inference(rewrite,[status(thm)],[])).
% 9.24/6.69 tff(27263,plain,
% 9.24/6.69 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s166, c_busy) | m_main_v_state(s166, c_ready))),
% 9.24/6.69 inference(quant_inst,[status(thm)],[])).
% 9.24/6.69 tff(27264,plain,
% 9.24/6.69 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s166, c_busy) | m_main_v_state(s166, c_ready)),
% 9.24/6.69 inference(modus_ponens,[status(thm)],[27263, 27262])).
% 9.24/6.69 tff(27265,plain,
% 9.24/6.69 (m_main_v_state(s166, c_ready)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27264, 213, 27261])).
% 9.24/6.69 tff(27266,assumption,(~m_main_v_state(s166, c_busy)), introduced(assumption)).
% 9.24/6.69 tff(27267,assumption,(node4(s165)), introduced(assumption)).
% 9.24/6.69 tff(27268,plain,
% 9.24/6.69 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s165) | (~node4(s165)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s165) | (~node4(s165)))),
% 9.24/6.69 inference(rewrite,[status(thm)],[])).
% 9.24/6.69 tff(27269,plain,
% 9.24/6.69 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s165) | (~node4(s165)))),
% 9.24/6.69 inference(quant_inst,[status(thm)],[])).
% 9.24/6.69 tff(27270,plain,
% 9.24/6.69 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s165) | (~node4(s165))),
% 9.24/6.69 inference(modus_ponens,[status(thm)],[27269, 27268])).
% 9.24/6.69 tff(27271,plain,
% 9.24/6.69 (m_main_v_request(s165)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27270, 154, 27267])).
% 9.24/6.69 tff(27272,plain,
% 9.24/6.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s165, s166)) | node2(s165, s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s165, s166)) | node2(s165, s166))),
% 9.24/6.69 inference(rewrite,[status(thm)],[])).
% 9.24/6.69 tff(27273,plain,
% 9.24/6.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s165, s166)) | node2(s165, s166))),
% 9.24/6.69 inference(quant_inst,[status(thm)],[])).
% 9.24/6.69 tff(27274,plain,
% 9.24/6.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s165, s166)) | node2(s165, s166)),
% 9.24/6.69 inference(modus_ponens,[status(thm)],[27273, 27272])).
% 9.24/6.69 tff(27275,plain,
% 9.24/6.69 (node2(s165, s166)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27274, 7, 7778])).
% 9.24/6.69 tff(27276,plain,
% 9.24/6.69 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s165, c_ready)) | (~node2(s165, s166)) | m_main_v_state(s166, c_busy) | (~m_main_v_request(s165)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s165, c_ready)) | (~node2(s165, s166)) | m_main_v_state(s166, c_busy) | (~m_main_v_request(s165)))),
% 9.24/6.69 inference(rewrite,[status(thm)],[])).
% 9.24/6.69 tff(27277,plain,
% 9.24/6.69 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s165, c_ready)) | (~node2(s165, s166)) | m_main_v_state(s166, c_busy) | (~m_main_v_request(s165)))),
% 9.24/6.69 inference(quant_inst,[status(thm)],[])).
% 9.24/6.69 tff(27278,plain,
% 9.24/6.69 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s165, c_ready)) | (~node2(s165, s166)) | m_main_v_state(s166, c_busy) | (~m_main_v_request(s165))),
% 9.24/6.69 inference(modus_ponens,[status(thm)],[27277, 27276])).
% 9.24/6.69 tff(27279,plain,
% 9.24/6.69 ((~m_main_v_state(s165, c_ready)) | m_main_v_state(s166, c_busy) | (~m_main_v_request(s165))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27278, 191, 27275])).
% 9.24/6.69 tff(27280,plain,
% 9.24/6.69 (~m_main_v_state(s165, c_ready)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27279, 27271, 27266])).
% 9.24/6.69 tff(27281,plain,
% 9.24/6.69 (always3(s165)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7786, 22, 27267])).
% 9.24/6.69 tff(27282,plain,
% 9.24/6.69 (~m_main_v_state(s165, c_busy)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[26006, 170, 27281])).
% 9.24/6.69 tff(27283,plain,
% 9.24/6.69 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s165, c_busy) | m_main_v_state(s165, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s165, c_busy) | m_main_v_state(s165, c_ready))),
% 9.24/6.69 inference(rewrite,[status(thm)],[])).
% 9.24/6.69 tff(27284,plain,
% 9.24/6.69 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s165, c_busy) | m_main_v_state(s165, c_ready))),
% 9.24/6.69 inference(quant_inst,[status(thm)],[])).
% 9.24/6.69 tff(27285,plain,
% 9.24/6.69 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s165, c_busy) | m_main_v_state(s165, c_ready)),
% 9.24/6.69 inference(modus_ponens,[status(thm)],[27284, 27283])).
% 9.24/6.69 tff(27286,plain,
% 9.24/6.69 ($false),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27285, 213, 27282, 27280])).
% 9.24/6.69 tff(27287,plain,((~node4(s165)) | m_main_v_state(s166, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.24/6.69 tff(27288,plain,
% 9.24/6.69 (~node4(s165)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27287, 27261])).
% 9.24/6.69 tff(27289,assumption,(until5(s165)), introduced(assumption)).
% 9.24/6.69 tff(27290,plain,
% 9.24/6.69 (xuntil6(s165) | node4(s165)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7793, 36, 27289])).
% 9.24/6.69 tff(27291,plain,
% 9.24/6.69 (xuntil6(s165)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27290, 27288])).
% 9.24/6.69 tff(27292,plain,
% 9.24/6.69 (until5(s166)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7773, 27291])).
% 9.24/6.69 tff(27293,plain,
% 9.24/6.69 (node4(s166)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[26604, 27292])).
% 9.24/6.69 tff(27294,plain,
% 9.24/6.69 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s166) | (~node4(s166)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s166) | (~node4(s166)))),
% 9.24/6.69 inference(rewrite,[status(thm)],[])).
% 9.24/6.69 tff(27295,plain,
% 9.24/6.69 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s166) | (~node4(s166)))),
% 9.24/6.69 inference(quant_inst,[status(thm)],[])).
% 9.24/6.69 tff(27296,plain,
% 9.24/6.69 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s166) | (~node4(s166))),
% 9.24/6.69 inference(modus_ponens,[status(thm)],[27295, 27294])).
% 9.24/6.69 tff(27297,plain,
% 9.24/6.69 (m_main_v_request(s166)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27296, 154, 27293])).
% 9.24/6.69 tff(27298,plain,
% 9.24/6.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s166, s167)) | node2(s166, s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s166, s167)) | node2(s166, s167))),
% 9.24/6.69 inference(rewrite,[status(thm)],[])).
% 9.24/6.69 tff(27299,plain,
% 9.24/6.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s166, s167)) | node2(s166, s167))),
% 9.24/6.69 inference(quant_inst,[status(thm)],[])).
% 9.24/6.69 tff(27300,plain,
% 9.24/6.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s166, s167)) | node2(s166, s167)),
% 9.24/6.69 inference(modus_ponens,[status(thm)],[27299, 27298])).
% 9.24/6.69 tff(27301,plain,
% 9.24/6.69 (node2(s166, s167)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27300, 7, 7749])).
% 9.24/6.69 tff(27302,plain,
% 9.24/6.69 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s166, c_ready)) | (~node2(s166, s167)) | m_main_v_state(s167, c_busy) | (~m_main_v_request(s166)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s166, c_ready)) | (~node2(s166, s167)) | m_main_v_state(s167, c_busy) | (~m_main_v_request(s166)))),
% 9.24/6.69 inference(rewrite,[status(thm)],[])).
% 9.24/6.69 tff(27303,plain,
% 9.24/6.69 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s166, c_ready)) | (~node2(s166, s167)) | m_main_v_state(s167, c_busy) | (~m_main_v_request(s166)))),
% 9.24/6.69 inference(quant_inst,[status(thm)],[])).
% 9.24/6.69 tff(27304,plain,
% 9.24/6.69 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s166, c_ready)) | (~node2(s166, s167)) | m_main_v_state(s167, c_busy) | (~m_main_v_request(s166))),
% 9.24/6.69 inference(modus_ponens,[status(thm)],[27303, 27302])).
% 9.24/6.69 tff(27305,plain,
% 9.24/6.69 ((~m_main_v_state(s166, c_ready)) | m_main_v_state(s167, c_busy) | (~m_main_v_request(s166))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27304, 191, 27301])).
% 9.24/6.69 tff(27306,plain,
% 9.24/6.69 ($false),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27305, 27297, 27265, 27254])).
% 9.24/6.69 tff(27307,plain,(xuntil6(s166) | (~until5(s165))), inference(lemma,lemma(discharge,[]))).
% 9.24/6.69 tff(27308,plain,
% 9.24/6.69 (xuntil6(s166)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27307, 26598])).
% 9.24/6.69 tff(27309,plain,
% 9.24/6.69 (until5(s167)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7744, 27308])).
% 9.24/6.69 tff(27310,assumption,(~xuntil6(s168)), introduced(assumption)).
% 9.24/6.69 tff(27311,assumption,(~always3(s168)), introduced(assumption)).
% 9.24/6.69 tff(27312,plain,
% 9.24/6.69 (~always3(s167)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7724, 27311])).
% 9.24/6.69 tff(27313,plain,
% 9.24/6.69 (~node4(s167)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7728, 22, 27312])).
% 9.24/6.69 tff(27314,plain,
% 9.24/6.69 (~node4(s168)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7699, 22, 27311])).
% 9.24/6.69 tff(27315,plain,
% 9.24/6.69 (node4(s168) | (~until5(s168))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7706, 36, 27310])).
% 9.24/6.69 tff(27316,plain,
% 9.24/6.69 (~until5(s168)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27315, 27314])).
% 9.24/6.69 tff(27317,plain,
% 9.24/6.69 (~xuntil6(s167)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7715, 27316])).
% 9.24/6.69 tff(27318,plain,
% 9.24/6.69 (~until5(s167)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7735, 36, 27317, 27313])).
% 9.24/6.69 tff(27319,plain,
% 9.24/6.69 (~xuntil6(s166)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7744, 27318])).
% 9.24/6.69 tff(27320,plain,
% 9.24/6.69 (~always3(s166)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7753, 27312])).
% 9.24/6.69 tff(27321,plain,
% 9.24/6.69 (~node4(s166)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7757, 22, 27320])).
% 9.24/6.69 tff(27322,plain,
% 9.24/6.69 (xuntil6(s166) | (~until5(s166))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7764, 36, 27321])).
% 9.24/6.69 tff(27323,plain,
% 9.24/6.69 (~until5(s166)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27322, 27319])).
% 9.24/6.69 tff(27324,plain,
% 9.24/6.69 (~xuntil6(s165)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7773, 27323])).
% 9.24/6.69 tff(27325,plain,
% 9.24/6.69 (~always3(s165)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7782, 27320])).
% 9.24/6.69 tff(27326,plain,
% 9.24/6.69 (~node4(s165)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7786, 22, 27325])).
% 9.24/6.69 tff(27327,plain,
% 9.24/6.69 (xuntil6(s165) | (~until5(s165))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7793, 36, 27326])).
% 9.24/6.69 tff(27328,plain,
% 9.24/6.69 (~until5(s165)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27327, 27324])).
% 9.24/6.69 tff(27329,plain,
% 9.24/6.69 (~xuntil6(s164)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7802, 27328])).
% 9.24/6.69 tff(27330,plain,
% 9.24/6.69 (~always3(s164)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7811, 27325])).
% 9.24/6.69 tff(27331,plain,
% 9.24/6.69 (~node4(s164)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7815, 22, 27330])).
% 9.24/6.69 tff(27332,plain,
% 9.24/6.69 (xuntil6(s164) | (~until5(s164))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7822, 36, 27331])).
% 9.24/6.69 tff(27333,plain,
% 9.24/6.69 (~until5(s164)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27332, 27329])).
% 9.24/6.69 tff(27334,plain,
% 9.24/6.69 (~xuntil6(s163)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7831, 27333])).
% 9.24/6.69 tff(27335,plain,
% 9.24/6.69 (~always3(s163)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7840, 27330])).
% 9.24/6.69 tff(27336,plain,
% 9.24/6.69 (~node4(s163)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7844, 22, 27335])).
% 9.24/6.69 tff(27337,plain,
% 9.24/6.69 (xuntil6(s163) | (~until5(s163))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7851, 36, 27336])).
% 9.24/6.69 tff(27338,plain,
% 9.24/6.69 (~until5(s163)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27337, 27334])).
% 9.24/6.69 tff(27339,plain,
% 9.24/6.69 (~xuntil6(s162)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7860, 27338])).
% 9.24/6.69 tff(27340,plain,
% 9.24/6.69 (~always3(s162)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7869, 27335])).
% 9.24/6.69 tff(27341,plain,
% 9.24/6.69 (~node4(s162)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7873, 22, 27340])).
% 9.24/6.69 tff(27342,plain,
% 9.24/6.69 (xuntil6(s162) | (~until5(s162))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7880, 36, 27341])).
% 9.24/6.69 tff(27343,plain,
% 9.24/6.69 (~until5(s162)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27342, 27339])).
% 9.24/6.69 tff(27344,plain,
% 9.24/6.69 (~xuntil6(s161)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7889, 27343])).
% 9.24/6.69 tff(27345,plain,
% 9.24/6.69 (~always3(s161)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7898, 27340])).
% 9.24/6.69 tff(27346,plain,
% 9.24/6.69 (~node4(s161)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7902, 22, 27345])).
% 9.24/6.69 tff(27347,plain,
% 9.24/6.69 (xuntil6(s161) | (~until5(s161))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7909, 36, 27346])).
% 9.24/6.69 tff(27348,plain,
% 9.24/6.69 (~until5(s161)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27347, 27344])).
% 9.24/6.69 tff(27349,plain,
% 9.24/6.69 (~xuntil6(s160)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7918, 27348])).
% 9.24/6.69 tff(27350,plain,
% 9.24/6.69 (~always3(s160)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7927, 27345])).
% 9.24/6.69 tff(27351,plain,
% 9.24/6.69 (~node4(s160)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7931, 22, 27350])).
% 9.24/6.69 tff(27352,plain,
% 9.24/6.69 (xuntil6(s160) | (~until5(s160))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7938, 36, 27351])).
% 9.24/6.69 tff(27353,plain,
% 9.24/6.69 (~until5(s160)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27352, 27349])).
% 9.24/6.69 tff(27354,plain,
% 9.24/6.69 (~xuntil6(s159)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7947, 27353])).
% 9.24/6.69 tff(27355,plain,
% 9.24/6.69 (~always3(s159)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7956, 27350])).
% 9.24/6.69 tff(27356,plain,
% 9.24/6.69 (~node4(s159)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7960, 22, 27355])).
% 9.24/6.69 tff(27357,plain,
% 9.24/6.69 (xuntil6(s159) | (~until5(s159))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7967, 36, 27356])).
% 9.24/6.69 tff(27358,plain,
% 9.24/6.69 (~until5(s159)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27357, 27354])).
% 9.24/6.69 tff(27359,plain,
% 9.24/6.69 (~xuntil6(s158)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7976, 27358])).
% 9.24/6.69 tff(27360,plain,
% 9.24/6.69 (~always3(s158)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7985, 27355])).
% 9.24/6.69 tff(27361,plain,
% 9.24/6.69 (~node4(s158)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7989, 22, 27360])).
% 9.24/6.69 tff(27362,plain,
% 9.24/6.69 (xuntil6(s158) | (~until5(s158))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[7996, 36, 27361])).
% 9.24/6.69 tff(27363,plain,
% 9.24/6.69 (~until5(s158)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27362, 27359])).
% 9.24/6.69 tff(27364,plain,
% 9.24/6.69 (~xuntil6(s157)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8005, 27363])).
% 9.24/6.69 tff(27365,plain,
% 9.24/6.69 (~always3(s157)),
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% 9.24/6.69 tff(27366,plain,
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% 9.24/6.69 tff(27368,plain,
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% 9.24/6.69 tff(27369,plain,
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% 9.24/6.69 tff(27370,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8043, 27365])).
% 9.24/6.69 tff(27371,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8047, 22, 27370])).
% 9.24/6.69 tff(27372,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8054, 36, 27371])).
% 9.24/6.69 tff(27373,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[27372, 27369])).
% 9.24/6.69 tff(27374,plain,
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% 9.24/6.69 tff(27375,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8072, 27370])).
% 9.24/6.69 tff(27376,plain,
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% 9.24/6.69 tff(27377,plain,
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% 9.24/6.69 tff(27378,plain,
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% 9.24/6.69 tff(27379,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8092, 27378])).
% 9.24/6.69 tff(27380,plain,
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% 9.24/6.69 tff(27381,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8105, 22, 27380])).
% 9.24/6.69 tff(27382,plain,
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% 9.24/6.69 tff(27383,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[27382, 27379])).
% 9.24/6.69 tff(27384,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8121, 27383])).
% 9.24/6.69 tff(27385,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8130, 27380])).
% 9.24/6.69 tff(27386,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8134, 22, 27385])).
% 9.24/6.69 tff(27387,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8141, 36, 27386])).
% 9.24/6.69 tff(27388,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[27387, 27384])).
% 9.24/6.69 tff(27389,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8150, 27388])).
% 9.24/6.69 tff(27390,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8159, 27385])).
% 9.24/6.69 tff(27391,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8163, 22, 27390])).
% 9.24/6.69 tff(27392,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8170, 36, 27391])).
% 9.24/6.69 tff(27393,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[27392, 27389])).
% 9.24/6.69 tff(27394,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8179, 27393])).
% 9.24/6.69 tff(27395,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8188, 27390])).
% 9.24/6.69 tff(27396,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8192, 22, 27395])).
% 9.24/6.69 tff(27397,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8199, 36, 27396])).
% 9.24/6.69 tff(27398,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[27397, 27394])).
% 9.24/6.69 tff(27399,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8208, 27398])).
% 9.24/6.69 tff(27400,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8217, 27395])).
% 9.24/6.69 tff(27401,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8221, 22, 27400])).
% 9.24/6.69 tff(27402,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8228, 36, 27401])).
% 9.24/6.69 tff(27403,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[27402, 27399])).
% 9.24/6.69 tff(27404,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8237, 27403])).
% 9.24/6.69 tff(27405,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8246, 27400])).
% 9.24/6.69 tff(27406,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8250, 22, 27405])).
% 9.24/6.69 tff(27407,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8257, 36, 27406])).
% 9.24/6.69 tff(27408,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[27407, 27404])).
% 9.24/6.69 tff(27409,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8266, 27408])).
% 9.24/6.69 tff(27410,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8275, 27405])).
% 9.24/6.69 tff(27411,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8279, 22, 27410])).
% 9.24/6.69 tff(27412,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8286, 36, 27411])).
% 9.24/6.69 tff(27413,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[27412, 27409])).
% 9.24/6.69 tff(27414,plain,
% 9.24/6.69 (~xuntil6(s147)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8295, 27413])).
% 9.24/6.69 tff(27415,plain,
% 9.24/6.69 (~always3(s147)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8304, 27410])).
% 9.24/6.69 tff(27416,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8308, 22, 27415])).
% 9.24/6.69 tff(27417,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8315, 36, 27416])).
% 9.24/6.69 tff(27418,plain,
% 9.24/6.69 (~until5(s147)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27417, 27414])).
% 9.24/6.69 tff(27419,plain,
% 9.24/6.69 (~xuntil6(s146)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8324, 27418])).
% 9.24/6.69 tff(27420,plain,
% 9.24/6.69 (~always3(s146)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8333, 27415])).
% 9.24/6.69 tff(27421,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8337, 22, 27420])).
% 9.24/6.69 tff(27422,plain,
% 9.24/6.69 (xuntil6(s146) | (~until5(s146))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8344, 36, 27421])).
% 9.24/6.69 tff(27423,plain,
% 9.24/6.69 (~until5(s146)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27422, 27419])).
% 9.24/6.69 tff(27424,plain,
% 9.24/6.69 (~xuntil6(s145)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8353, 27423])).
% 9.24/6.69 tff(27425,plain,
% 9.24/6.69 (~always3(s145)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8362, 27420])).
% 9.24/6.69 tff(27426,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8366, 22, 27425])).
% 9.24/6.69 tff(27427,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8373, 36, 27426])).
% 9.24/6.69 tff(27428,plain,
% 9.24/6.69 (~until5(s145)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27427, 27424])).
% 9.24/6.69 tff(27429,plain,
% 9.24/6.69 (~xuntil6(s144)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8382, 27428])).
% 9.24/6.69 tff(27430,plain,
% 9.24/6.69 (~always3(s144)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8391, 27425])).
% 9.24/6.69 tff(27431,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8395, 22, 27430])).
% 9.24/6.69 tff(27432,plain,
% 9.24/6.69 (xuntil6(s144) | (~until5(s144))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8402, 36, 27431])).
% 9.24/6.69 tff(27433,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[27432, 27429])).
% 9.24/6.69 tff(27434,plain,
% 9.24/6.69 (~xuntil6(s143)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8411, 27433])).
% 9.24/6.69 tff(27435,plain,
% 9.24/6.69 (~always3(s143)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8420, 27430])).
% 9.24/6.69 tff(27436,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8424, 22, 27435])).
% 9.24/6.69 tff(27437,plain,
% 9.24/6.69 (xuntil6(s143) | (~until5(s143))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8431, 36, 27436])).
% 9.24/6.69 tff(27438,plain,
% 9.24/6.69 (~until5(s143)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27437, 27434])).
% 9.24/6.69 tff(27439,plain,
% 9.24/6.69 (~xuntil6(s142)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8440, 27438])).
% 9.24/6.69 tff(27440,plain,
% 9.24/6.69 (~always3(s142)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8449, 27435])).
% 9.24/6.69 tff(27441,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8453, 22, 27440])).
% 9.24/6.69 tff(27442,plain,
% 9.24/6.69 (xuntil6(s142) | (~until5(s142))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8460, 36, 27441])).
% 9.24/6.69 tff(27443,plain,
% 9.24/6.69 (~until5(s142)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27442, 27439])).
% 9.24/6.69 tff(27444,plain,
% 9.24/6.69 (~xuntil6(s141)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8469, 27443])).
% 9.24/6.69 tff(27445,plain,
% 9.24/6.69 (~always3(s141)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8478, 27440])).
% 9.24/6.69 tff(27446,plain,
% 9.24/6.69 (~node4(s141)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8482, 22, 27445])).
% 9.24/6.69 tff(27447,plain,
% 9.24/6.69 (xuntil6(s141) | (~until5(s141))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8489, 36, 27446])).
% 9.24/6.69 tff(27448,plain,
% 9.24/6.69 (~until5(s141)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27447, 27444])).
% 9.24/6.69 tff(27449,plain,
% 9.24/6.69 (~xuntil6(s140)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8498, 27448])).
% 9.24/6.69 tff(27450,plain,
% 9.24/6.69 (~always3(s140)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8507, 27445])).
% 9.24/6.69 tff(27451,plain,
% 9.24/6.69 (~node4(s140)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8511, 22, 27450])).
% 9.24/6.69 tff(27452,plain,
% 9.24/6.69 (xuntil6(s140) | (~until5(s140))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8518, 36, 27451])).
% 9.24/6.69 tff(27453,plain,
% 9.24/6.69 (~until5(s140)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27452, 27449])).
% 9.24/6.69 tff(27454,plain,
% 9.24/6.69 (~xuntil6(s139)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8527, 27453])).
% 9.24/6.69 tff(27455,plain,
% 9.24/6.69 (~always3(s139)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8536, 27450])).
% 9.24/6.69 tff(27456,plain,
% 9.24/6.69 (~node4(s139)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8540, 22, 27455])).
% 9.24/6.69 tff(27457,plain,
% 9.24/6.69 (xuntil6(s139) | (~until5(s139))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8547, 36, 27456])).
% 9.24/6.69 tff(27458,plain,
% 9.24/6.69 (~until5(s139)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27457, 27454])).
% 9.24/6.69 tff(27459,plain,
% 9.24/6.69 (~xuntil6(s138)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8556, 27458])).
% 9.24/6.69 tff(27460,plain,
% 9.24/6.69 (~always3(s138)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8565, 27455])).
% 9.24/6.69 tff(27461,plain,
% 9.24/6.69 (~node4(s138)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8569, 22, 27460])).
% 9.24/6.69 tff(27462,plain,
% 9.24/6.69 (xuntil6(s138) | (~until5(s138))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8576, 36, 27461])).
% 9.24/6.69 tff(27463,plain,
% 9.24/6.69 (~until5(s138)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27462, 27459])).
% 9.24/6.69 tff(27464,plain,
% 9.24/6.69 (~xuntil6(s137)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8585, 27463])).
% 9.24/6.69 tff(27465,plain,
% 9.24/6.69 (~always3(s137)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8594, 27460])).
% 9.24/6.69 tff(27466,plain,
% 9.24/6.69 (~node4(s137)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8598, 22, 27465])).
% 9.24/6.69 tff(27467,plain,
% 9.24/6.69 (xuntil6(s137) | (~until5(s137))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8605, 36, 27466])).
% 9.24/6.69 tff(27468,plain,
% 9.24/6.69 (~until5(s137)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27467, 27464])).
% 9.24/6.69 tff(27469,plain,
% 9.24/6.69 (~xuntil6(s136)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10896, 27468])).
% 9.24/6.69 tff(27470,plain,
% 9.24/6.69 (~always3(s136)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8618, 27465])).
% 9.24/6.69 tff(27471,plain,
% 9.24/6.69 (~node4(s136)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10883, 22, 27470])).
% 9.24/6.69 tff(27472,plain,
% 9.24/6.69 (xuntil6(s136) | (~until5(s136))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10890, 36, 27471])).
% 9.24/6.69 tff(27473,plain,
% 9.24/6.69 (~until5(s136)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27472, 27469])).
% 9.24/6.69 tff(27474,plain,
% 9.24/6.69 (~xuntil6(s135)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10879, 27473])).
% 9.24/6.69 tff(27475,plain,
% 9.24/6.69 (~always3(s135)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8630, 27470])).
% 9.24/6.69 tff(27476,plain,
% 9.24/6.69 (~node4(s135)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10866, 22, 27475])).
% 9.24/6.69 tff(27477,plain,
% 9.24/6.69 (xuntil6(s135) | (~until5(s135))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10873, 36, 27476])).
% 9.24/6.69 tff(27478,plain,
% 9.24/6.69 (~until5(s135)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27477, 27474])).
% 9.24/6.69 tff(27479,plain,
% 9.24/6.69 (~xuntil6(s134)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10862, 27478])).
% 9.24/6.69 tff(27480,plain,
% 9.24/6.69 (~always3(s134)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8642, 27475])).
% 9.24/6.69 tff(27481,plain,
% 9.24/6.69 (~node4(s134)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10849, 22, 27480])).
% 9.24/6.69 tff(27482,plain,
% 9.24/6.69 (xuntil6(s134) | (~until5(s134))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10856, 36, 27481])).
% 9.24/6.69 tff(27483,plain,
% 9.24/6.69 (~until5(s134)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27482, 27479])).
% 9.24/6.69 tff(27484,plain,
% 9.24/6.69 (~xuntil6(s133)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10845, 27483])).
% 9.24/6.69 tff(27485,plain,
% 9.24/6.69 (~always3(s133)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8654, 27480])).
% 9.24/6.69 tff(27486,plain,
% 9.24/6.69 (~node4(s133)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10832, 22, 27485])).
% 9.24/6.69 tff(27487,plain,
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% 9.24/6.69 tff(27488,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[27487, 27484])).
% 9.24/6.69 tff(27489,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10828, 27488])).
% 9.24/6.69 tff(27490,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8666, 27485])).
% 9.24/6.69 tff(27491,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10815, 22, 27490])).
% 9.24/6.69 tff(27492,plain,
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% 9.24/6.69 tff(27493,plain,
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% 9.24/6.69 tff(27494,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10811, 27493])).
% 9.24/6.69 tff(27495,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8678, 27490])).
% 9.24/6.69 tff(27496,plain,
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% 9.24/6.69 tff(27497,plain,
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% 9.24/6.69 tff(27498,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[27497, 27494])).
% 9.24/6.69 tff(27499,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10794, 27498])).
% 9.24/6.69 tff(27500,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8690, 27495])).
% 9.24/6.69 tff(27501,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10781, 22, 27500])).
% 9.24/6.69 tff(27502,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10788, 36, 27501])).
% 9.24/6.69 tff(27503,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[27502, 27499])).
% 9.24/6.69 tff(27504,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10777, 27503])).
% 9.24/6.69 tff(27505,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8702, 27500])).
% 9.24/6.69 tff(27506,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10764, 22, 27505])).
% 9.24/6.69 tff(27507,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10771, 36, 27506])).
% 9.24/6.69 tff(27508,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[27507, 27504])).
% 9.24/6.69 tff(27509,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10760, 27508])).
% 9.24/6.69 tff(27510,plain,
% 9.24/6.69 (~always3(s128)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8714, 27505])).
% 9.24/6.69 tff(27511,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10747, 22, 27510])).
% 9.24/6.69 tff(27512,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10754, 36, 27511])).
% 9.24/6.69 tff(27513,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[27512, 27509])).
% 9.24/6.69 tff(27514,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10743, 27513])).
% 9.24/6.69 tff(27515,plain,
% 9.24/6.69 (~always3(s127)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8726, 27510])).
% 9.24/6.69 tff(27516,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10730, 22, 27515])).
% 9.24/6.69 tff(27517,plain,
% 9.24/6.69 (xuntil6(s127) | (~until5(s127))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10737, 36, 27516])).
% 9.24/6.69 tff(27518,plain,
% 9.24/6.69 (~until5(s127)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27517, 27514])).
% 9.24/6.69 tff(27519,plain,
% 9.24/6.69 (~xuntil6(s126)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10726, 27518])).
% 9.24/6.69 tff(27520,plain,
% 9.24/6.69 (~always3(s126)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8738, 27515])).
% 9.24/6.69 tff(27521,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10713, 22, 27520])).
% 9.24/6.69 tff(27522,plain,
% 9.24/6.69 (xuntil6(s126) | (~until5(s126))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10720, 36, 27521])).
% 9.24/6.69 tff(27523,plain,
% 9.24/6.69 (~until5(s126)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27522, 27519])).
% 9.24/6.69 tff(27524,plain,
% 9.24/6.69 (~xuntil6(s125)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10709, 27523])).
% 9.24/6.69 tff(27525,plain,
% 9.24/6.69 (~always3(s125)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8750, 27520])).
% 9.24/6.69 tff(27526,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10696, 22, 27525])).
% 9.24/6.69 tff(27527,plain,
% 9.24/6.69 (xuntil6(s125) | (~until5(s125))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10703, 36, 27526])).
% 9.24/6.69 tff(27528,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[27527, 27524])).
% 9.24/6.69 tff(27529,plain,
% 9.24/6.69 (~xuntil6(s124)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10692, 27528])).
% 9.24/6.69 tff(27530,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[8762, 27525])).
% 9.24/6.69 tff(27531,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10679, 22, 27530])).
% 9.24/6.69 tff(27532,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10686, 36, 27531])).
% 9.24/6.69 tff(27533,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[27532, 27529])).
% 9.24/6.69 tff(27534,plain,
% 9.24/6.69 (~xuntil6(s123)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10675, 27533])).
% 9.24/6.69 tff(27535,plain,
% 9.24/6.69 (~always3(s123)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8774, 27530])).
% 9.24/6.69 tff(27536,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10662, 22, 27535])).
% 9.24/6.69 tff(27537,plain,
% 9.24/6.69 (xuntil6(s123) | (~until5(s123))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10669, 36, 27536])).
% 9.24/6.69 tff(27538,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[27537, 27534])).
% 9.24/6.69 tff(27539,plain,
% 9.24/6.69 (~xuntil6(s122)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10658, 27538])).
% 9.24/6.69 tff(27540,plain,
% 9.24/6.69 (~always3(s122)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8786, 27535])).
% 9.24/6.69 tff(27541,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10645, 22, 27540])).
% 9.24/6.69 tff(27542,plain,
% 9.24/6.69 (xuntil6(s122) | (~until5(s122))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10652, 36, 27541])).
% 9.24/6.69 tff(27543,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[27542, 27539])).
% 9.24/6.69 tff(27544,plain,
% 9.24/6.69 (~xuntil6(s121)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10641, 27543])).
% 9.24/6.69 tff(27545,plain,
% 9.24/6.69 (~always3(s121)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8798, 27540])).
% 9.24/6.69 tff(27546,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10628, 22, 27545])).
% 9.24/6.69 tff(27547,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10635, 36, 27546])).
% 9.24/6.69 tff(27548,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[27547, 27544])).
% 9.24/6.69 tff(27549,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10624, 27548])).
% 9.24/6.69 tff(27550,plain,
% 9.24/6.69 (~always3(s120)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8810, 27545])).
% 9.24/6.69 tff(27551,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10611, 22, 27550])).
% 9.24/6.69 tff(27552,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10618, 36, 27551])).
% 9.24/6.69 tff(27553,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[27552, 27549])).
% 9.24/6.69 tff(27554,plain,
% 9.24/6.69 (~xuntil6(s119)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10607, 27553])).
% 9.24/6.69 tff(27555,plain,
% 9.24/6.69 (~always3(s119)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8822, 27550])).
% 9.24/6.69 tff(27556,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10594, 22, 27555])).
% 9.24/6.69 tff(27557,plain,
% 9.24/6.69 (xuntil6(s119) | (~until5(s119))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10601, 36, 27556])).
% 9.24/6.69 tff(27558,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[27557, 27554])).
% 9.24/6.69 tff(27559,plain,
% 9.24/6.69 (~xuntil6(s118)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10590, 27558])).
% 9.24/6.69 tff(27560,plain,
% 9.24/6.69 (~always3(s118)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8834, 27555])).
% 9.24/6.69 tff(27561,plain,
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% 9.24/6.69 inference(unit_resolution,[status(thm)],[10577, 22, 27560])).
% 9.24/6.69 tff(27562,plain,
% 9.24/6.69 (xuntil6(s118) | (~until5(s118))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10584, 36, 27561])).
% 9.24/6.69 tff(27563,plain,
% 9.24/6.69 (~until5(s118)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27562, 27559])).
% 9.24/6.69 tff(27564,plain,
% 9.24/6.69 (~xuntil6(s117)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10573, 27563])).
% 9.24/6.69 tff(27565,plain,
% 9.24/6.69 (~always3(s117)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8846, 27560])).
% 9.24/6.69 tff(27566,plain,
% 9.24/6.69 (~node4(s117)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10560, 22, 27565])).
% 9.24/6.69 tff(27567,plain,
% 9.24/6.69 (xuntil6(s117) | (~until5(s117))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10567, 36, 27566])).
% 9.24/6.69 tff(27568,plain,
% 9.24/6.69 (~until5(s117)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27567, 27564])).
% 9.24/6.69 tff(27569,plain,
% 9.24/6.69 (~xuntil6(s116)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10556, 27568])).
% 9.24/6.69 tff(27570,plain,
% 9.24/6.69 (~always3(s116)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8858, 27565])).
% 9.24/6.69 tff(27571,plain,
% 9.24/6.69 (~node4(s116)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10543, 22, 27570])).
% 9.24/6.69 tff(27572,plain,
% 9.24/6.69 (xuntil6(s116) | (~until5(s116))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10550, 36, 27571])).
% 9.24/6.69 tff(27573,plain,
% 9.24/6.69 (~until5(s116)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27572, 27569])).
% 9.24/6.69 tff(27574,plain,
% 9.24/6.69 (~xuntil6(s115)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10539, 27573])).
% 9.24/6.69 tff(27575,plain,
% 9.24/6.69 (~always3(s115)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8870, 27570])).
% 9.24/6.69 tff(27576,plain,
% 9.24/6.69 (~node4(s115)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10526, 22, 27575])).
% 9.24/6.69 tff(27577,plain,
% 9.24/6.69 (xuntil6(s115) | (~until5(s115))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10533, 36, 27576])).
% 9.24/6.69 tff(27578,plain,
% 9.24/6.69 (~until5(s115)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27577, 27574])).
% 9.24/6.69 tff(27579,plain,
% 9.24/6.69 (~xuntil6(s114)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10522, 27578])).
% 9.24/6.69 tff(27580,plain,
% 9.24/6.69 (~always3(s114)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8882, 27575])).
% 9.24/6.69 tff(27581,plain,
% 9.24/6.69 (~node4(s114)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10509, 22, 27580])).
% 9.24/6.69 tff(27582,plain,
% 9.24/6.69 (xuntil6(s114) | (~until5(s114))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10516, 36, 27581])).
% 9.24/6.69 tff(27583,plain,
% 9.24/6.69 (~until5(s114)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27582, 27579])).
% 9.24/6.69 tff(27584,plain,
% 9.24/6.69 (~xuntil6(s113)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10505, 27583])).
% 9.24/6.69 tff(27585,plain,
% 9.24/6.69 (~always3(s113)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8894, 27580])).
% 9.24/6.69 tff(27586,plain,
% 9.24/6.69 (~node4(s113)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10492, 22, 27585])).
% 9.24/6.69 tff(27587,plain,
% 9.24/6.69 (xuntil6(s113) | (~until5(s113))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10499, 36, 27586])).
% 9.24/6.69 tff(27588,plain,
% 9.24/6.69 (~until5(s113)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27587, 27584])).
% 9.24/6.69 tff(27589,plain,
% 9.24/6.69 (~xuntil6(s112)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10488, 27588])).
% 9.24/6.69 tff(27590,plain,
% 9.24/6.69 (~always3(s112)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8906, 27585])).
% 9.24/6.69 tff(27591,plain,
% 9.24/6.69 (~node4(s112)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10475, 22, 27590])).
% 9.24/6.69 tff(27592,plain,
% 9.24/6.69 (xuntil6(s112) | (~until5(s112))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10482, 36, 27591])).
% 9.24/6.69 tff(27593,plain,
% 9.24/6.69 (~until5(s112)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27592, 27589])).
% 9.24/6.69 tff(27594,plain,
% 9.24/6.69 (~xuntil6(s111)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10471, 27593])).
% 9.24/6.69 tff(27595,plain,
% 9.24/6.69 (~always3(s111)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8918, 27590])).
% 9.24/6.69 tff(27596,plain,
% 9.24/6.69 (~node4(s111)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10458, 22, 27595])).
% 9.24/6.69 tff(27597,plain,
% 9.24/6.69 (xuntil6(s111) | (~until5(s111))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10465, 36, 27596])).
% 9.24/6.69 tff(27598,plain,
% 9.24/6.69 (~until5(s111)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27597, 27594])).
% 9.24/6.69 tff(27599,plain,
% 9.24/6.69 (~xuntil6(s110)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10454, 27598])).
% 9.24/6.69 tff(27600,plain,
% 9.24/6.69 (~always3(s110)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8930, 27595])).
% 9.24/6.69 tff(27601,plain,
% 9.24/6.69 (~node4(s110)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10441, 22, 27600])).
% 9.24/6.69 tff(27602,plain,
% 9.24/6.69 (xuntil6(s110) | (~until5(s110))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10448, 36, 27601])).
% 9.24/6.69 tff(27603,plain,
% 9.24/6.69 (~until5(s110)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27602, 27599])).
% 9.24/6.69 tff(27604,plain,
% 9.24/6.69 (~xuntil6(s109)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10437, 27603])).
% 9.24/6.69 tff(27605,plain,
% 9.24/6.69 (~always3(s109)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8942, 27600])).
% 9.24/6.69 tff(27606,plain,
% 9.24/6.69 (~node4(s109)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10424, 22, 27605])).
% 9.24/6.69 tff(27607,plain,
% 9.24/6.69 (xuntil6(s109) | (~until5(s109))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10431, 36, 27606])).
% 9.24/6.69 tff(27608,plain,
% 9.24/6.69 (~until5(s109)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27607, 27604])).
% 9.24/6.69 tff(27609,plain,
% 9.24/6.69 (~xuntil6(s108)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10420, 27608])).
% 9.24/6.69 tff(27610,plain,
% 9.24/6.69 (~always3(s108)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8954, 27605])).
% 9.24/6.69 tff(27611,plain,
% 9.24/6.69 (~node4(s108)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10407, 22, 27610])).
% 9.24/6.69 tff(27612,plain,
% 9.24/6.69 (xuntil6(s108) | (~until5(s108))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10414, 36, 27611])).
% 9.24/6.69 tff(27613,plain,
% 9.24/6.69 (~until5(s108)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27612, 27609])).
% 9.24/6.69 tff(27614,plain,
% 9.24/6.69 (~xuntil6(s107)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10403, 27613])).
% 9.24/6.69 tff(27615,plain,
% 9.24/6.69 (~always3(s107)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8966, 27610])).
% 9.24/6.69 tff(27616,plain,
% 9.24/6.69 (~node4(s107)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10390, 22, 27615])).
% 9.24/6.69 tff(27617,plain,
% 9.24/6.69 (xuntil6(s107) | (~until5(s107))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10397, 36, 27616])).
% 9.24/6.69 tff(27618,plain,
% 9.24/6.69 (~until5(s107)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27617, 27614])).
% 9.24/6.69 tff(27619,plain,
% 9.24/6.69 (~xuntil6(s106)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10386, 27618])).
% 9.24/6.69 tff(27620,plain,
% 9.24/6.69 (~always3(s106)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8978, 27615])).
% 9.24/6.69 tff(27621,plain,
% 9.24/6.69 (~node4(s106)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10373, 22, 27620])).
% 9.24/6.69 tff(27622,plain,
% 9.24/6.69 (xuntil6(s106) | (~until5(s106))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10380, 36, 27621])).
% 9.24/6.69 tff(27623,plain,
% 9.24/6.69 (~until5(s106)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27622, 27619])).
% 9.24/6.69 tff(27624,plain,
% 9.24/6.69 (~xuntil6(s105)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10369, 27623])).
% 9.24/6.69 tff(27625,plain,
% 9.24/6.69 (~always3(s105)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[8990, 27620])).
% 9.24/6.69 tff(27626,plain,
% 9.24/6.69 (~node4(s105)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10356, 22, 27625])).
% 9.24/6.69 tff(27627,plain,
% 9.24/6.69 (xuntil6(s105) | (~until5(s105))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10363, 36, 27626])).
% 9.24/6.69 tff(27628,plain,
% 9.24/6.69 (~until5(s105)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27627, 27624])).
% 9.24/6.69 tff(27629,plain,
% 9.24/6.69 (~xuntil6(s104)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10352, 27628])).
% 9.24/6.69 tff(27630,plain,
% 9.24/6.69 (~always3(s104)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9002, 27625])).
% 9.24/6.69 tff(27631,plain,
% 9.24/6.69 (~node4(s104)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10339, 22, 27630])).
% 9.24/6.69 tff(27632,plain,
% 9.24/6.69 (xuntil6(s104) | (~until5(s104))),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10346, 36, 27631])).
% 9.24/6.69 tff(27633,plain,
% 9.24/6.69 (~until5(s104)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[27632, 27629])).
% 9.24/6.69 tff(27634,plain,
% 9.24/6.69 (~xuntil6(s103)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[10335, 27633])).
% 9.24/6.69 tff(27635,plain,
% 9.24/6.69 (~always3(s103)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9014, 27630])).
% 9.24/6.69 tff(27636,plain,
% 9.24/6.69 (~always3(s102)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9026, 27635])).
% 9.24/6.69 tff(27637,plain,
% 9.24/6.69 (~always3(s101)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9038, 27636])).
% 9.24/6.69 tff(27638,plain,
% 9.24/6.69 (~always3(s100)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9050, 27637])).
% 9.24/6.69 tff(27639,plain,
% 9.24/6.69 (~always3(s99)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9062, 27638])).
% 9.24/6.69 tff(27640,plain,
% 9.24/6.69 (~always3(s98)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9074, 27639])).
% 9.24/6.69 tff(27641,plain,
% 9.24/6.69 (~always3(s97)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9086, 27640])).
% 9.24/6.69 tff(27642,plain,
% 9.24/6.69 (~always3(s96)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9098, 27641])).
% 9.24/6.69 tff(27643,plain,
% 9.24/6.69 (~always3(s95)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9110, 27642])).
% 9.24/6.69 tff(27644,plain,
% 9.24/6.69 (~always3(s94)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9122, 27643])).
% 9.24/6.69 tff(27645,plain,
% 9.24/6.69 (~always3(s93)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9134, 27644])).
% 9.24/6.69 tff(27646,plain,
% 9.24/6.69 (~always3(s92)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9146, 27645])).
% 9.24/6.69 tff(27647,plain,
% 9.24/6.69 (~always3(s91)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9158, 27646])).
% 9.24/6.69 tff(27648,plain,
% 9.24/6.69 (~always3(s90)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9170, 27647])).
% 9.24/6.69 tff(27649,plain,
% 9.24/6.69 (~always3(s89)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9182, 27648])).
% 9.24/6.69 tff(27650,plain,
% 9.24/6.69 (~always3(s88)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9194, 27649])).
% 9.24/6.69 tff(27651,plain,
% 9.24/6.69 (~always3(s87)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9206, 27650])).
% 9.24/6.69 tff(27652,plain,
% 9.24/6.69 (~always3(s86)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9218, 27651])).
% 9.24/6.69 tff(27653,plain,
% 9.24/6.69 (~always3(s85)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9230, 27652])).
% 9.24/6.69 tff(27654,plain,
% 9.24/6.69 (~always3(s84)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9242, 27653])).
% 9.24/6.69 tff(27655,plain,
% 9.24/6.69 (~always3(s83)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9254, 27654])).
% 9.24/6.69 tff(27656,plain,
% 9.24/6.69 (~always3(s82)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9266, 27655])).
% 9.24/6.69 tff(27657,plain,
% 9.24/6.69 (~always3(s81)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9278, 27656])).
% 9.24/6.69 tff(27658,plain,
% 9.24/6.69 (~always3(s80)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9290, 27657])).
% 9.24/6.69 tff(27659,plain,
% 9.24/6.69 (~always3(s79)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9302, 27658])).
% 9.24/6.69 tff(27660,plain,
% 9.24/6.69 (~always3(s78)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9314, 27659])).
% 9.24/6.69 tff(27661,plain,
% 9.24/6.69 (~always3(s77)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9326, 27660])).
% 9.24/6.69 tff(27662,plain,
% 9.24/6.69 (~always3(s76)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9338, 27661])).
% 9.24/6.69 tff(27663,plain,
% 9.24/6.69 (~always3(s75)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9350, 27662])).
% 9.24/6.69 tff(27664,plain,
% 9.24/6.69 (~always3(s74)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9362, 27663])).
% 9.24/6.69 tff(27665,plain,
% 9.24/6.69 (~always3(s73)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9374, 27664])).
% 9.24/6.69 tff(27666,plain,
% 9.24/6.69 (~always3(s72)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9386, 27665])).
% 9.24/6.69 tff(27667,plain,
% 9.24/6.69 (~always3(s71)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9398, 27666])).
% 9.24/6.69 tff(27668,plain,
% 9.24/6.69 (~always3(s70)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9410, 27667])).
% 9.24/6.69 tff(27669,plain,
% 9.24/6.69 (~always3(s69)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9422, 27668])).
% 9.24/6.69 tff(27670,plain,
% 9.24/6.69 (~always3(s68)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9434, 27669])).
% 9.24/6.69 tff(27671,plain,
% 9.24/6.69 (~always3(s67)),
% 9.24/6.69 inference(unit_resolution,[status(thm)],[9446, 27670])).
% 9.24/6.70 tff(27672,plain,
% 9.24/6.70 (~always3(s66)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9458, 27671])).
% 9.24/6.70 tff(27673,plain,
% 9.24/6.70 (~always3(s65)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9470, 27672])).
% 9.24/6.70 tff(27674,plain,
% 9.24/6.70 (~always3(s64)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9482, 27673])).
% 9.24/6.70 tff(27675,plain,
% 9.24/6.70 (~always3(s63)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9494, 27674])).
% 9.24/6.70 tff(27676,plain,
% 9.24/6.70 (~always3(s62)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9506, 27675])).
% 9.24/6.70 tff(27677,plain,
% 9.24/6.70 (~always3(s61)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9518, 27676])).
% 9.24/6.70 tff(27678,plain,
% 9.24/6.70 (~always3(s60)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9530, 27677])).
% 9.24/6.70 tff(27679,plain,
% 9.24/6.70 (~always3(s59)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9542, 27678])).
% 9.24/6.70 tff(27680,plain,
% 9.24/6.70 (~always3(s58)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9558, 27679])).
% 9.24/6.70 tff(27681,plain,
% 9.24/6.70 (~always3(s57)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[5004, 27680])).
% 9.24/6.70 tff(27682,plain,
% 9.24/6.70 (~always3(s56)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4870, 27681])).
% 9.24/6.70 tff(27683,plain,
% 9.24/6.70 (~always3(s55)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4750, 27682])).
% 9.24/6.70 tff(27684,plain,
% 9.24/6.70 (~always3(s54)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4602, 27683])).
% 9.24/6.70 tff(27685,plain,
% 9.24/6.70 (~always3(s53)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4647, 27684])).
% 9.24/6.70 tff(27686,plain,
% 9.24/6.70 (~always3(s52)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4521, 27685])).
% 9.24/6.70 tff(27687,plain,
% 9.24/6.70 (~always3(s51)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4412, 27686])).
% 9.24/6.70 tff(27688,plain,
% 9.24/6.70 (~always3(s50)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4363, 27687])).
% 9.24/6.70 tff(27689,plain,
% 9.24/6.70 (~always3(s49)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3944, 27688])).
% 9.24/6.70 tff(27690,plain,
% 9.24/6.70 (~always3(s48)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3754, 27689])).
% 9.24/6.70 tff(27691,plain,
% 9.24/6.70 (~always3(s47)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3799, 27690])).
% 9.24/6.70 tff(27692,plain,
% 9.24/6.70 (~always3(s46)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3828, 27691])).
% 9.24/6.70 tff(27693,plain,
% 9.24/6.70 (~always3(s45)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3857, 27692])).
% 9.24/6.70 tff(27694,plain,
% 9.24/6.70 (~always3(s44)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3886, 27693])).
% 9.24/6.70 tff(27695,plain,
% 9.24/6.70 (~always3(s43)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3705, 27694])).
% 9.24/6.70 tff(27696,plain,
% 9.24/6.70 (~always3(s42)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3618, 27695])).
% 9.24/6.70 tff(27697,plain,
% 9.24/6.70 (~always3(s41)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3559, 27696])).
% 9.24/6.70 tff(27698,plain,
% 9.24/6.70 (~always3(s40)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3474, 27697])).
% 9.24/6.70 tff(27699,plain,
% 9.24/6.70 (~always3(s39)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3424, 27698])).
% 9.24/6.70 tff(27700,plain,
% 9.24/6.70 (~node4(s39)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3428, 22, 27699])).
% 9.24/6.70 tff(27701,plain,
% 9.24/6.70 (~always3(s38)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3233, 27699])).
% 9.24/6.70 tff(27702,plain,
% 9.24/6.70 (~node4(s38)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3219, 22, 27701])).
% 9.24/6.70 tff(27703,plain,
% 9.24/6.70 (~always3(s37)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[2932, 27701])).
% 9.24/6.70 tff(27704,plain,
% 9.24/6.70 (xuntil6(s37)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3202, 27703])).
% 9.24/6.70 tff(27705,plain,
% 9.24/6.70 (until5(s38)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3207, 27704])).
% 9.24/6.70 tff(27706,plain,
% 9.24/6.70 (xuntil6(s38) | node4(s38)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3214, 36, 27705])).
% 9.24/6.70 tff(27707,plain,
% 9.24/6.70 (xuntil6(s38)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27706, 27702])).
% 9.24/6.70 tff(27708,plain,
% 9.24/6.70 (until5(s39)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3410, 27707])).
% 9.24/6.70 tff(27709,plain,
% 9.24/6.70 (xuntil6(s39)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3460, 36, 27708, 27700])).
% 9.24/6.70 tff(27710,plain,
% 9.24/6.70 (until5(s40)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3445, 27709])).
% 9.24/6.70 tff(27711,plain,
% 9.24/6.70 (~node4(s40)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3432, 22, 27698])).
% 9.24/6.70 tff(27712,plain,
% 9.24/6.70 (xuntil6(s40) | (~until5(s40))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3439, 36, 27711])).
% 9.24/6.70 tff(27713,plain,
% 9.24/6.70 (xuntil6(s40)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27712, 27710])).
% 9.24/6.70 tff(27714,plain,
% 9.24/6.70 (until5(s41)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3545, 27713])).
% 9.24/6.70 tff(27715,plain,
% 9.24/6.70 (~node4(s41)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3563, 22, 27697])).
% 9.24/6.70 tff(27716,plain,
% 9.24/6.70 (xuntil6(s41) | (~until5(s41))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3587, 36, 27715])).
% 9.24/6.70 tff(27717,plain,
% 9.24/6.70 (xuntil6(s41)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27716, 27714])).
% 9.24/6.70 tff(27718,plain,
% 9.24/6.70 (until5(s42)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3580, 27717])).
% 9.24/6.70 tff(27719,plain,
% 9.24/6.70 (~node4(s42)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3567, 22, 27696])).
% 9.24/6.70 tff(27720,plain,
% 9.24/6.70 (xuntil6(s42) | (~until5(s42))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3574, 36, 27719])).
% 9.24/6.70 tff(27721,plain,
% 9.24/6.70 (xuntil6(s42)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27720, 27718])).
% 9.24/6.70 tff(27722,plain,
% 9.24/6.70 (until5(s43)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3684, 27721])).
% 9.24/6.70 tff(27723,plain,
% 9.24/6.70 (~node4(s43)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3693, 22, 27695])).
% 9.24/6.70 tff(27724,plain,
% 9.24/6.70 (xuntil6(s43) | (~until5(s43))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3734, 36, 27723])).
% 9.24/6.70 tff(27725,plain,
% 9.24/6.70 (xuntil6(s43)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27724, 27722])).
% 9.24/6.70 tff(27726,plain,
% 9.24/6.70 (until5(s44)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3740, 27725])).
% 9.24/6.70 tff(27727,plain,
% 9.24/6.70 (~node4(s44)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3890, 22, 27694])).
% 9.24/6.70 tff(27728,plain,
% 9.24/6.70 (xuntil6(s44) | (~until5(s44))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3897, 36, 27727])).
% 9.24/6.70 tff(27729,plain,
% 9.24/6.70 (xuntil6(s44)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27728, 27726])).
% 9.24/6.70 tff(27730,plain,
% 9.24/6.70 (until5(s45)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3877, 27729])).
% 9.24/6.70 tff(27731,plain,
% 9.24/6.70 (~node4(s45)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3861, 22, 27693])).
% 9.24/6.70 tff(27732,plain,
% 9.24/6.70 (xuntil6(s45) | (~until5(s45))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3868, 36, 27731])).
% 9.24/6.70 tff(27733,plain,
% 9.24/6.70 (xuntil6(s45)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27732, 27730])).
% 9.24/6.70 tff(27734,plain,
% 9.24/6.70 (until5(s46)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3848, 27733])).
% 9.24/6.70 tff(27735,plain,
% 9.24/6.70 (~node4(s46)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3832, 22, 27692])).
% 9.24/6.70 tff(27736,plain,
% 9.24/6.70 (xuntil6(s46) | (~until5(s46))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3839, 36, 27735])).
% 9.24/6.70 tff(27737,plain,
% 9.24/6.70 (xuntil6(s46)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27736, 27734])).
% 9.24/6.70 tff(27738,plain,
% 9.24/6.70 (until5(s47)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3819, 27737])).
% 9.24/6.70 tff(27739,plain,
% 9.24/6.70 (~node4(s47)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3803, 22, 27691])).
% 9.24/6.70 tff(27740,plain,
% 9.24/6.70 (xuntil6(s47) | (~until5(s47))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3810, 36, 27739])).
% 9.24/6.70 tff(27741,plain,
% 9.24/6.70 (xuntil6(s47)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27740, 27738])).
% 9.24/6.70 tff(27742,plain,
% 9.24/6.70 (until5(s48)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3790, 27741])).
% 9.24/6.70 tff(27743,plain,
% 9.24/6.70 (~node4(s48)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3758, 22, 27690])).
% 9.24/6.70 tff(27744,plain,
% 9.24/6.70 (xuntil6(s48) | (~until5(s48))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3782, 36, 27743])).
% 9.24/6.70 tff(27745,plain,
% 9.24/6.70 (xuntil6(s48)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27744, 27742])).
% 9.24/6.70 tff(27746,plain,
% 9.24/6.70 (until5(s49)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3775, 27745])).
% 9.24/6.70 tff(27747,plain,
% 9.24/6.70 (~node4(s49)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3762, 22, 27689])).
% 9.24/6.70 tff(27748,plain,
% 9.24/6.70 (xuntil6(s49) | (~until5(s49))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[3769, 36, 27747])).
% 9.24/6.70 tff(27749,plain,
% 9.24/6.70 (xuntil6(s49)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27748, 27746])).
% 9.24/6.70 tff(27750,plain,
% 9.24/6.70 (until5(s50)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4342, 27749])).
% 9.24/6.70 tff(27751,plain,
% 9.24/6.70 (~node4(s50)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4351, 22, 27688])).
% 9.24/6.70 tff(27752,plain,
% 9.24/6.70 (xuntil6(s50) | (~until5(s50))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4392, 36, 27751])).
% 9.24/6.70 tff(27753,plain,
% 9.24/6.70 (xuntil6(s50)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27752, 27750])).
% 9.24/6.70 tff(27754,plain,
% 9.24/6.70 (until5(s51)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4398, 27753])).
% 9.24/6.70 tff(27755,plain,
% 9.24/6.70 (~node4(s51)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4416, 22, 27687])).
% 9.24/6.70 tff(27756,plain,
% 9.24/6.70 (xuntil6(s51) | (~until5(s51))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4440, 36, 27755])).
% 9.24/6.70 tff(27757,plain,
% 9.24/6.70 (xuntil6(s51)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27756, 27754])).
% 9.24/6.70 tff(27758,plain,
% 9.24/6.70 (until5(s52)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4433, 27757])).
% 9.24/6.70 tff(27759,plain,
% 9.24/6.70 (~node4(s52)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4420, 22, 27686])).
% 9.24/6.70 tff(27760,plain,
% 9.24/6.70 (xuntil6(s52) | (~until5(s52))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4427, 36, 27759])).
% 9.24/6.70 tff(27761,plain,
% 9.24/6.70 (xuntil6(s52)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27760, 27758])).
% 9.24/6.70 tff(27762,plain,
% 9.24/6.70 (until5(s53)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4587, 27761])).
% 9.24/6.70 tff(27763,plain,
% 9.24/6.70 (~node4(s53)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4651, 22, 27685])).
% 9.24/6.70 tff(27764,plain,
% 9.24/6.70 (xuntil6(s53) | (~until5(s53))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4658, 36, 27763])).
% 9.24/6.70 tff(27765,plain,
% 9.24/6.70 (xuntil6(s53)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27764, 27762])).
% 9.24/6.70 tff(27766,plain,
% 9.24/6.70 (until5(s54)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4638, 27765])).
% 9.24/6.70 tff(27767,plain,
% 9.24/6.70 (~node4(s54)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4606, 22, 27684])).
% 9.24/6.70 tff(27768,plain,
% 9.24/6.70 (xuntil6(s54) | (~until5(s54))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4630, 36, 27767])).
% 9.24/6.70 tff(27769,plain,
% 9.24/6.70 (xuntil6(s54)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27768, 27766])).
% 9.24/6.70 tff(27770,plain,
% 9.24/6.70 (until5(s55)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4623, 27769])).
% 9.24/6.70 tff(27771,plain,
% 9.24/6.70 (~node4(s55)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4610, 22, 27683])).
% 9.24/6.70 tff(27772,plain,
% 9.24/6.70 (xuntil6(s55) | (~until5(s55))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4617, 36, 27771])).
% 9.24/6.70 tff(27773,plain,
% 9.24/6.70 (xuntil6(s55)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27772, 27770])).
% 9.24/6.70 tff(27774,plain,
% 9.24/6.70 (until5(s56)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4856, 27773])).
% 9.24/6.70 tff(27775,plain,
% 9.24/6.70 (~node4(s56)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4874, 22, 27682])).
% 9.24/6.70 tff(27776,plain,
% 9.24/6.70 (xuntil6(s56) | (~until5(s56))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4898, 36, 27775])).
% 9.24/6.70 tff(27777,plain,
% 9.24/6.70 (xuntil6(s56)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27776, 27774])).
% 9.24/6.70 tff(27778,plain,
% 9.24/6.70 (until5(s57)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4891, 27777])).
% 9.24/6.70 tff(27779,plain,
% 9.24/6.70 (~node4(s57)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4878, 22, 27681])).
% 9.24/6.70 tff(27780,plain,
% 9.24/6.70 (xuntil6(s57) | (~until5(s57))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[4885, 36, 27779])).
% 9.24/6.70 tff(27781,plain,
% 9.24/6.70 (xuntil6(s57)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27780, 27778])).
% 9.24/6.70 tff(27782,plain,
% 9.24/6.70 (until5(s58)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[5070, 27781])).
% 9.24/6.70 tff(27783,plain,
% 9.24/6.70 (~node4(s58)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9562, 22, 27680])).
% 9.24/6.70 tff(27784,plain,
% 9.24/6.70 (xuntil6(s58) | (~until5(s58))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9569, 36, 27783])).
% 9.24/6.70 tff(27785,plain,
% 9.24/6.70 (xuntil6(s58)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27784, 27782])).
% 9.24/6.70 tff(27786,plain,
% 9.24/6.70 (until5(s59)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9575, 27785])).
% 9.24/6.70 tff(27787,plain,
% 9.24/6.70 (~node4(s59)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9546, 22, 27679])).
% 9.24/6.70 tff(27788,plain,
% 9.24/6.70 (xuntil6(s59) | (~until5(s59))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9582, 36, 27787])).
% 9.24/6.70 tff(27789,plain,
% 9.24/6.70 (xuntil6(s59)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27788, 27786])).
% 9.24/6.70 tff(27790,plain,
% 9.24/6.70 (until5(s60)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9587, 27789])).
% 9.24/6.70 tff(27791,plain,
% 9.24/6.70 (~node4(s60)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9591, 22, 27678])).
% 9.24/6.70 tff(27792,plain,
% 9.24/6.70 (xuntil6(s60) | (~until5(s60))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9598, 36, 27791])).
% 9.24/6.70 tff(27793,plain,
% 9.24/6.70 (xuntil6(s60)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27792, 27790])).
% 9.24/6.70 tff(27794,plain,
% 9.24/6.70 (until5(s61)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9604, 27793])).
% 9.24/6.70 tff(27795,plain,
% 9.24/6.70 (~node4(s61)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9608, 22, 27677])).
% 9.24/6.70 tff(27796,plain,
% 9.24/6.70 (xuntil6(s61) | (~until5(s61))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9615, 36, 27795])).
% 9.24/6.70 tff(27797,plain,
% 9.24/6.70 (xuntil6(s61)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27796, 27794])).
% 9.24/6.70 tff(27798,plain,
% 9.24/6.70 (until5(s62)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9621, 27797])).
% 9.24/6.70 tff(27799,plain,
% 9.24/6.70 (~node4(s62)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9625, 22, 27676])).
% 9.24/6.70 tff(27800,plain,
% 9.24/6.70 (xuntil6(s62) | (~until5(s62))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9632, 36, 27799])).
% 9.24/6.70 tff(27801,plain,
% 9.24/6.70 (xuntil6(s62)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27800, 27798])).
% 9.24/6.70 tff(27802,plain,
% 9.24/6.70 (until5(s63)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9638, 27801])).
% 9.24/6.70 tff(27803,plain,
% 9.24/6.70 (~node4(s63)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9642, 22, 27675])).
% 9.24/6.70 tff(27804,plain,
% 9.24/6.70 (xuntil6(s63) | (~until5(s63))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9649, 36, 27803])).
% 9.24/6.70 tff(27805,plain,
% 9.24/6.70 (xuntil6(s63)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27804, 27802])).
% 9.24/6.70 tff(27806,plain,
% 9.24/6.70 (until5(s64)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9655, 27805])).
% 9.24/6.70 tff(27807,plain,
% 9.24/6.70 (~node4(s64)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9659, 22, 27674])).
% 9.24/6.70 tff(27808,plain,
% 9.24/6.70 (xuntil6(s64) | (~until5(s64))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9666, 36, 27807])).
% 9.24/6.70 tff(27809,plain,
% 9.24/6.70 (xuntil6(s64)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27808, 27806])).
% 9.24/6.70 tff(27810,plain,
% 9.24/6.70 (until5(s65)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9672, 27809])).
% 9.24/6.70 tff(27811,plain,
% 9.24/6.70 (~node4(s65)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9676, 22, 27673])).
% 9.24/6.70 tff(27812,plain,
% 9.24/6.70 (xuntil6(s65) | (~until5(s65))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9683, 36, 27811])).
% 9.24/6.70 tff(27813,plain,
% 9.24/6.70 (xuntil6(s65)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27812, 27810])).
% 9.24/6.70 tff(27814,plain,
% 9.24/6.70 (until5(s66)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9689, 27813])).
% 9.24/6.70 tff(27815,plain,
% 9.24/6.70 (~node4(s66)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9693, 22, 27672])).
% 9.24/6.70 tff(27816,plain,
% 9.24/6.70 (xuntil6(s66) | (~until5(s66))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9700, 36, 27815])).
% 9.24/6.70 tff(27817,plain,
% 9.24/6.70 (xuntil6(s66)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27816, 27814])).
% 9.24/6.70 tff(27818,plain,
% 9.24/6.70 (until5(s67)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9706, 27817])).
% 9.24/6.70 tff(27819,plain,
% 9.24/6.70 (~node4(s67)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9710, 22, 27671])).
% 9.24/6.70 tff(27820,plain,
% 9.24/6.70 (xuntil6(s67) | (~until5(s67))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9717, 36, 27819])).
% 9.24/6.70 tff(27821,plain,
% 9.24/6.70 (xuntil6(s67)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27820, 27818])).
% 9.24/6.70 tff(27822,plain,
% 9.24/6.70 (until5(s68)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9723, 27821])).
% 9.24/6.70 tff(27823,plain,
% 9.24/6.70 (~node4(s68)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9727, 22, 27670])).
% 9.24/6.70 tff(27824,plain,
% 9.24/6.70 (xuntil6(s68) | (~until5(s68))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9734, 36, 27823])).
% 9.24/6.70 tff(27825,plain,
% 9.24/6.70 (xuntil6(s68)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27824, 27822])).
% 9.24/6.70 tff(27826,plain,
% 9.24/6.70 (until5(s69)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9740, 27825])).
% 9.24/6.70 tff(27827,plain,
% 9.24/6.70 (~node4(s69)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9744, 22, 27669])).
% 9.24/6.70 tff(27828,plain,
% 9.24/6.70 (xuntil6(s69) | (~until5(s69))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9751, 36, 27827])).
% 9.24/6.70 tff(27829,plain,
% 9.24/6.70 (xuntil6(s69)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27828, 27826])).
% 9.24/6.70 tff(27830,plain,
% 9.24/6.70 (until5(s70)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9757, 27829])).
% 9.24/6.70 tff(27831,plain,
% 9.24/6.70 (~node4(s70)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9761, 22, 27668])).
% 9.24/6.70 tff(27832,plain,
% 9.24/6.70 (xuntil6(s70) | (~until5(s70))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9768, 36, 27831])).
% 9.24/6.70 tff(27833,plain,
% 9.24/6.70 (xuntil6(s70)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27832, 27830])).
% 9.24/6.70 tff(27834,plain,
% 9.24/6.70 (until5(s71)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9774, 27833])).
% 9.24/6.70 tff(27835,plain,
% 9.24/6.70 (~node4(s71)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9778, 22, 27667])).
% 9.24/6.70 tff(27836,plain,
% 9.24/6.70 (xuntil6(s71) | (~until5(s71))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9785, 36, 27835])).
% 9.24/6.70 tff(27837,plain,
% 9.24/6.70 (xuntil6(s71)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27836, 27834])).
% 9.24/6.70 tff(27838,plain,
% 9.24/6.70 (until5(s72)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9791, 27837])).
% 9.24/6.70 tff(27839,plain,
% 9.24/6.70 (~node4(s72)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9795, 22, 27666])).
% 9.24/6.70 tff(27840,plain,
% 9.24/6.70 (xuntil6(s72) | (~until5(s72))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9802, 36, 27839])).
% 9.24/6.70 tff(27841,plain,
% 9.24/6.70 (xuntil6(s72)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27840, 27838])).
% 9.24/6.70 tff(27842,plain,
% 9.24/6.70 (until5(s73)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9808, 27841])).
% 9.24/6.70 tff(27843,plain,
% 9.24/6.70 (~node4(s73)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9812, 22, 27665])).
% 9.24/6.70 tff(27844,plain,
% 9.24/6.70 (xuntil6(s73) | (~until5(s73))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9819, 36, 27843])).
% 9.24/6.70 tff(27845,plain,
% 9.24/6.70 (xuntil6(s73)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27844, 27842])).
% 9.24/6.70 tff(27846,plain,
% 9.24/6.70 (until5(s74)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9825, 27845])).
% 9.24/6.70 tff(27847,plain,
% 9.24/6.70 (~node4(s74)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9829, 22, 27664])).
% 9.24/6.70 tff(27848,plain,
% 9.24/6.70 (xuntil6(s74) | (~until5(s74))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9836, 36, 27847])).
% 9.24/6.70 tff(27849,plain,
% 9.24/6.70 (xuntil6(s74)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27848, 27846])).
% 9.24/6.70 tff(27850,plain,
% 9.24/6.70 (until5(s75)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9842, 27849])).
% 9.24/6.70 tff(27851,plain,
% 9.24/6.70 (~node4(s75)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9846, 22, 27663])).
% 9.24/6.70 tff(27852,plain,
% 9.24/6.70 (xuntil6(s75) | (~until5(s75))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9853, 36, 27851])).
% 9.24/6.70 tff(27853,plain,
% 9.24/6.70 (xuntil6(s75)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27852, 27850])).
% 9.24/6.70 tff(27854,plain,
% 9.24/6.70 (until5(s76)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9859, 27853])).
% 9.24/6.70 tff(27855,plain,
% 9.24/6.70 (~node4(s76)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9863, 22, 27662])).
% 9.24/6.70 tff(27856,plain,
% 9.24/6.70 (xuntil6(s76) | (~until5(s76))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9870, 36, 27855])).
% 9.24/6.70 tff(27857,plain,
% 9.24/6.70 (xuntil6(s76)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27856, 27854])).
% 9.24/6.70 tff(27858,plain,
% 9.24/6.70 (until5(s77)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9876, 27857])).
% 9.24/6.70 tff(27859,plain,
% 9.24/6.70 (~node4(s77)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9880, 22, 27661])).
% 9.24/6.70 tff(27860,plain,
% 9.24/6.70 (xuntil6(s77) | (~until5(s77))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9887, 36, 27859])).
% 9.24/6.70 tff(27861,plain,
% 9.24/6.70 (xuntil6(s77)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27860, 27858])).
% 9.24/6.70 tff(27862,plain,
% 9.24/6.70 (until5(s78)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9893, 27861])).
% 9.24/6.70 tff(27863,plain,
% 9.24/6.70 (~node4(s78)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9897, 22, 27660])).
% 9.24/6.70 tff(27864,plain,
% 9.24/6.70 (xuntil6(s78) | (~until5(s78))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9904, 36, 27863])).
% 9.24/6.70 tff(27865,plain,
% 9.24/6.70 (xuntil6(s78)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27864, 27862])).
% 9.24/6.70 tff(27866,plain,
% 9.24/6.70 (until5(s79)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9910, 27865])).
% 9.24/6.70 tff(27867,plain,
% 9.24/6.70 (~node4(s79)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9914, 22, 27659])).
% 9.24/6.70 tff(27868,plain,
% 9.24/6.70 (xuntil6(s79) | (~until5(s79))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9921, 36, 27867])).
% 9.24/6.70 tff(27869,plain,
% 9.24/6.70 (xuntil6(s79)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27868, 27866])).
% 9.24/6.70 tff(27870,plain,
% 9.24/6.70 (until5(s80)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9927, 27869])).
% 9.24/6.70 tff(27871,plain,
% 9.24/6.70 (~node4(s80)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9931, 22, 27658])).
% 9.24/6.70 tff(27872,plain,
% 9.24/6.70 (xuntil6(s80) | (~until5(s80))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9938, 36, 27871])).
% 9.24/6.70 tff(27873,plain,
% 9.24/6.70 (xuntil6(s80)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27872, 27870])).
% 9.24/6.70 tff(27874,plain,
% 9.24/6.70 (until5(s81)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9944, 27873])).
% 9.24/6.70 tff(27875,plain,
% 9.24/6.70 (~node4(s81)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9948, 22, 27657])).
% 9.24/6.70 tff(27876,plain,
% 9.24/6.70 (xuntil6(s81) | (~until5(s81))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9955, 36, 27875])).
% 9.24/6.70 tff(27877,plain,
% 9.24/6.70 (xuntil6(s81)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27876, 27874])).
% 9.24/6.70 tff(27878,plain,
% 9.24/6.70 (until5(s82)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9961, 27877])).
% 9.24/6.70 tff(27879,plain,
% 9.24/6.70 (~node4(s82)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9965, 22, 27656])).
% 9.24/6.70 tff(27880,plain,
% 9.24/6.70 (xuntil6(s82) | (~until5(s82))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9972, 36, 27879])).
% 9.24/6.70 tff(27881,plain,
% 9.24/6.70 (xuntil6(s82)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27880, 27878])).
% 9.24/6.70 tff(27882,plain,
% 9.24/6.70 (until5(s83)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9978, 27881])).
% 9.24/6.70 tff(27883,plain,
% 9.24/6.70 (~node4(s83)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9982, 22, 27655])).
% 9.24/6.70 tff(27884,plain,
% 9.24/6.70 (xuntil6(s83) | (~until5(s83))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9989, 36, 27883])).
% 9.24/6.70 tff(27885,plain,
% 9.24/6.70 (xuntil6(s83)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27884, 27882])).
% 9.24/6.70 tff(27886,plain,
% 9.24/6.70 (until5(s84)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9995, 27885])).
% 9.24/6.70 tff(27887,plain,
% 9.24/6.70 (~node4(s84)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[9999, 22, 27654])).
% 9.24/6.70 tff(27888,plain,
% 9.24/6.70 (xuntil6(s84) | (~until5(s84))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10006, 36, 27887])).
% 9.24/6.70 tff(27889,plain,
% 9.24/6.70 (xuntil6(s84)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27888, 27886])).
% 9.24/6.70 tff(27890,plain,
% 9.24/6.70 (until5(s85)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10012, 27889])).
% 9.24/6.70 tff(27891,plain,
% 9.24/6.70 (~node4(s85)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10016, 22, 27653])).
% 9.24/6.70 tff(27892,plain,
% 9.24/6.70 (xuntil6(s85) | (~until5(s85))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10023, 36, 27891])).
% 9.24/6.70 tff(27893,plain,
% 9.24/6.70 (xuntil6(s85)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27892, 27890])).
% 9.24/6.70 tff(27894,plain,
% 9.24/6.70 (until5(s86)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10029, 27893])).
% 9.24/6.70 tff(27895,plain,
% 9.24/6.70 (~node4(s86)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10033, 22, 27652])).
% 9.24/6.70 tff(27896,plain,
% 9.24/6.70 (xuntil6(s86) | (~until5(s86))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10040, 36, 27895])).
% 9.24/6.70 tff(27897,plain,
% 9.24/6.70 (xuntil6(s86)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27896, 27894])).
% 9.24/6.70 tff(27898,plain,
% 9.24/6.70 (until5(s87)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10046, 27897])).
% 9.24/6.70 tff(27899,plain,
% 9.24/6.70 (~node4(s87)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10050, 22, 27651])).
% 9.24/6.70 tff(27900,plain,
% 9.24/6.70 (xuntil6(s87) | (~until5(s87))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10057, 36, 27899])).
% 9.24/6.70 tff(27901,plain,
% 9.24/6.70 (xuntil6(s87)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27900, 27898])).
% 9.24/6.70 tff(27902,plain,
% 9.24/6.70 (until5(s88)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10063, 27901])).
% 9.24/6.70 tff(27903,plain,
% 9.24/6.70 (~node4(s88)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10067, 22, 27650])).
% 9.24/6.70 tff(27904,plain,
% 9.24/6.70 (xuntil6(s88) | (~until5(s88))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10074, 36, 27903])).
% 9.24/6.70 tff(27905,plain,
% 9.24/6.70 (xuntil6(s88)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27904, 27902])).
% 9.24/6.70 tff(27906,plain,
% 9.24/6.70 (until5(s89)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10080, 27905])).
% 9.24/6.70 tff(27907,plain,
% 9.24/6.70 (~node4(s89)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10084, 22, 27649])).
% 9.24/6.70 tff(27908,plain,
% 9.24/6.70 (xuntil6(s89) | (~until5(s89))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10091, 36, 27907])).
% 9.24/6.70 tff(27909,plain,
% 9.24/6.70 (xuntil6(s89)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27908, 27906])).
% 9.24/6.70 tff(27910,plain,
% 9.24/6.70 (until5(s90)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10097, 27909])).
% 9.24/6.70 tff(27911,plain,
% 9.24/6.70 (~node4(s90)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10101, 22, 27648])).
% 9.24/6.70 tff(27912,plain,
% 9.24/6.70 (xuntil6(s90) | (~until5(s90))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10108, 36, 27911])).
% 9.24/6.70 tff(27913,plain,
% 9.24/6.70 (xuntil6(s90)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27912, 27910])).
% 9.24/6.70 tff(27914,plain,
% 9.24/6.70 (until5(s91)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10114, 27913])).
% 9.24/6.70 tff(27915,plain,
% 9.24/6.70 (~node4(s91)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10118, 22, 27647])).
% 9.24/6.70 tff(27916,plain,
% 9.24/6.70 (xuntil6(s91) | (~until5(s91))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10125, 36, 27915])).
% 9.24/6.70 tff(27917,plain,
% 9.24/6.70 (xuntil6(s91)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27916, 27914])).
% 9.24/6.70 tff(27918,plain,
% 9.24/6.70 (until5(s92)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10131, 27917])).
% 9.24/6.70 tff(27919,plain,
% 9.24/6.70 (~node4(s92)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10135, 22, 27646])).
% 9.24/6.70 tff(27920,plain,
% 9.24/6.70 (xuntil6(s92) | (~until5(s92))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10142, 36, 27919])).
% 9.24/6.70 tff(27921,plain,
% 9.24/6.70 (xuntil6(s92)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27920, 27918])).
% 9.24/6.70 tff(27922,plain,
% 9.24/6.70 (until5(s93)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10148, 27921])).
% 9.24/6.70 tff(27923,plain,
% 9.24/6.70 (~node4(s93)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10152, 22, 27645])).
% 9.24/6.70 tff(27924,plain,
% 9.24/6.70 (xuntil6(s93) | (~until5(s93))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10159, 36, 27923])).
% 9.24/6.70 tff(27925,plain,
% 9.24/6.70 (xuntil6(s93)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27924, 27922])).
% 9.24/6.70 tff(27926,plain,
% 9.24/6.70 (until5(s94)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10165, 27925])).
% 9.24/6.70 tff(27927,plain,
% 9.24/6.70 (~node4(s94)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10169, 22, 27644])).
% 9.24/6.70 tff(27928,plain,
% 9.24/6.70 (xuntil6(s94) | (~until5(s94))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10176, 36, 27927])).
% 9.24/6.70 tff(27929,plain,
% 9.24/6.70 (xuntil6(s94)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27928, 27926])).
% 9.24/6.70 tff(27930,plain,
% 9.24/6.70 (until5(s95)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10182, 27929])).
% 9.24/6.70 tff(27931,plain,
% 9.24/6.70 (~node4(s95)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10186, 22, 27643])).
% 9.24/6.70 tff(27932,plain,
% 9.24/6.70 (xuntil6(s95) | (~until5(s95))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10193, 36, 27931])).
% 9.24/6.70 tff(27933,plain,
% 9.24/6.70 (xuntil6(s95)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27932, 27930])).
% 9.24/6.70 tff(27934,plain,
% 9.24/6.70 (until5(s96)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10199, 27933])).
% 9.24/6.70 tff(27935,plain,
% 9.24/6.70 (~node4(s96)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10203, 22, 27642])).
% 9.24/6.70 tff(27936,plain,
% 9.24/6.70 (xuntil6(s96) | (~until5(s96))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10210, 36, 27935])).
% 9.24/6.70 tff(27937,plain,
% 9.24/6.70 (xuntil6(s96)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27936, 27934])).
% 9.24/6.70 tff(27938,plain,
% 9.24/6.70 (until5(s97)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10216, 27937])).
% 9.24/6.70 tff(27939,plain,
% 9.24/6.70 (~node4(s97)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10220, 22, 27641])).
% 9.24/6.70 tff(27940,plain,
% 9.24/6.70 (xuntil6(s97) | (~until5(s97))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10227, 36, 27939])).
% 9.24/6.70 tff(27941,plain,
% 9.24/6.70 (xuntil6(s97)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27940, 27938])).
% 9.24/6.70 tff(27942,plain,
% 9.24/6.70 (until5(s98)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10233, 27941])).
% 9.24/6.70 tff(27943,plain,
% 9.24/6.70 (~node4(s98)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10237, 22, 27640])).
% 9.24/6.70 tff(27944,plain,
% 9.24/6.70 (xuntil6(s98) | (~until5(s98))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10244, 36, 27943])).
% 9.24/6.70 tff(27945,plain,
% 9.24/6.70 (xuntil6(s98)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27944, 27942])).
% 9.24/6.70 tff(27946,plain,
% 9.24/6.70 (until5(s99)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10250, 27945])).
% 9.24/6.70 tff(27947,plain,
% 9.24/6.70 (~node4(s99)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10254, 22, 27639])).
% 9.24/6.70 tff(27948,plain,
% 9.24/6.70 (xuntil6(s99) | (~until5(s99))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10261, 36, 27947])).
% 9.24/6.70 tff(27949,plain,
% 9.24/6.70 (xuntil6(s99)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27948, 27946])).
% 9.24/6.70 tff(27950,plain,
% 9.24/6.70 (until5(s100)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10267, 27949])).
% 9.24/6.70 tff(27951,plain,
% 9.24/6.70 (~node4(s100)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10271, 22, 27638])).
% 9.24/6.70 tff(27952,plain,
% 9.24/6.70 (xuntil6(s100) | (~until5(s100))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10278, 36, 27951])).
% 9.24/6.70 tff(27953,plain,
% 9.24/6.70 (xuntil6(s100)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27952, 27950])).
% 9.24/6.70 tff(27954,plain,
% 9.24/6.70 (until5(s101)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10284, 27953])).
% 9.24/6.70 tff(27955,plain,
% 9.24/6.70 (~node4(s101)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10288, 22, 27637])).
% 9.24/6.70 tff(27956,plain,
% 9.24/6.70 (xuntil6(s101) | (~until5(s101))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10295, 36, 27955])).
% 9.24/6.70 tff(27957,plain,
% 9.24/6.70 (xuntil6(s101)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27956, 27954])).
% 9.24/6.70 tff(27958,plain,
% 9.24/6.70 (until5(s102)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10301, 27957])).
% 9.24/6.70 tff(27959,plain,
% 9.24/6.70 (~node4(s102)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10305, 22, 27636])).
% 9.24/6.70 tff(27960,plain,
% 9.24/6.70 (xuntil6(s102) | (~until5(s102))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10312, 36, 27959])).
% 9.24/6.70 tff(27961,plain,
% 9.24/6.70 (xuntil6(s102)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27960, 27958])).
% 9.24/6.70 tff(27962,plain,
% 9.24/6.70 (until5(s103)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10318, 27961])).
% 9.24/6.70 tff(27963,plain,
% 9.24/6.70 (~node4(s103)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10322, 22, 27635])).
% 9.24/6.70 tff(27964,plain,
% 9.24/6.70 (xuntil6(s103) | (~until5(s103))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[10329, 36, 27963])).
% 9.24/6.70 tff(27965,plain,
% 9.24/6.70 ($false),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27964, 27962, 27634])).
% 9.24/6.70 tff(27966,plain,(always3(s168) | xuntil6(s168)), inference(lemma,lemma(discharge,[]))).
% 9.24/6.70 tff(27967,plain,
% 9.24/6.70 (always3(s168)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27966, 27310])).
% 9.24/6.70 tff(27968,plain,
% 9.24/6.70 (always3(s169)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7695, 27967])).
% 9.24/6.70 tff(27969,plain,
% 9.24/6.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s169)) | (~m_main_v_state(s169, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s169)) | (~m_main_v_state(s169, c_busy)))),
% 9.24/6.70 inference(rewrite,[status(thm)],[])).
% 9.24/6.70 tff(27970,plain,
% 9.24/6.70 (((~m_main_v_state(s169, c_busy)) | (~always3(s169))) <=> ((~always3(s169)) | (~m_main_v_state(s169, c_busy)))),
% 9.24/6.70 inference(rewrite,[status(thm)],[])).
% 9.24/6.70 tff(27971,plain,
% 9.24/6.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s169, c_busy)) | (~always3(s169)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s169)) | (~m_main_v_state(s169, c_busy))))),
% 9.24/6.70 inference(monotonicity,[status(thm)],[27970])).
% 9.24/6.70 tff(27972,plain,
% 9.24/6.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s169, c_busy)) | (~always3(s169)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s169)) | (~m_main_v_state(s169, c_busy)))),
% 9.24/6.70 inference(transitivity,[status(thm)],[27971, 27969])).
% 9.24/6.70 tff(27973,plain,
% 9.24/6.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s169, c_busy)) | (~always3(s169)))),
% 9.24/6.70 inference(quant_inst,[status(thm)],[])).
% 9.24/6.70 tff(27974,plain,
% 9.24/6.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s169)) | (~m_main_v_state(s169, c_busy))),
% 9.24/6.70 inference(modus_ponens,[status(thm)],[27973, 27972])).
% 9.24/6.70 tff(27975,plain,
% 9.24/6.70 (~m_main_v_state(s169, c_busy)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27974, 170, 27968])).
% 9.24/6.70 tff(27976,plain,
% 9.24/6.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s168)) | (~m_main_v_state(s168, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s168)) | (~m_main_v_state(s168, c_busy)))),
% 9.24/6.70 inference(rewrite,[status(thm)],[])).
% 9.24/6.70 tff(27977,plain,
% 9.24/6.70 (((~m_main_v_state(s168, c_busy)) | (~always3(s168))) <=> ((~always3(s168)) | (~m_main_v_state(s168, c_busy)))),
% 9.24/6.70 inference(rewrite,[status(thm)],[])).
% 9.24/6.70 tff(27978,plain,
% 9.24/6.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s168, c_busy)) | (~always3(s168)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s168)) | (~m_main_v_state(s168, c_busy))))),
% 9.24/6.70 inference(monotonicity,[status(thm)],[27977])).
% 9.24/6.70 tff(27979,plain,
% 9.24/6.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s168, c_busy)) | (~always3(s168)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s168)) | (~m_main_v_state(s168, c_busy)))),
% 9.24/6.70 inference(transitivity,[status(thm)],[27978, 27976])).
% 9.24/6.70 tff(27980,plain,
% 9.24/6.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s168, c_busy)) | (~always3(s168)))),
% 9.24/6.70 inference(quant_inst,[status(thm)],[])).
% 9.24/6.70 tff(27981,plain,
% 9.24/6.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s168)) | (~m_main_v_state(s168, c_busy))),
% 9.24/6.70 inference(modus_ponens,[status(thm)],[27980, 27979])).
% 9.24/6.70 tff(27982,plain,
% 9.24/6.70 (~m_main_v_state(s168, c_busy)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27981, 170, 27967])).
% 9.24/6.70 tff(27983,plain,
% 9.24/6.70 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s168, c_busy) | m_main_v_state(s168, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s168, c_busy) | m_main_v_state(s168, c_ready))),
% 9.24/6.70 inference(rewrite,[status(thm)],[])).
% 9.24/6.70 tff(27984,plain,
% 9.24/6.70 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s168, c_busy) | m_main_v_state(s168, c_ready))),
% 9.24/6.70 inference(quant_inst,[status(thm)],[])).
% 9.24/6.70 tff(27985,plain,
% 9.24/6.70 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s168, c_busy) | m_main_v_state(s168, c_ready)),
% 9.24/6.70 inference(modus_ponens,[status(thm)],[27984, 27983])).
% 9.24/6.70 tff(27986,plain,
% 9.24/6.70 (m_main_v_state(s168, c_ready)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27985, 213, 27982])).
% 9.24/6.70 tff(27987,assumption,(~m_main_v_state(s168, c_busy)), introduced(assumption)).
% 9.24/6.70 tff(27988,assumption,(node4(s167)), introduced(assumption)).
% 9.24/6.70 tff(27989,plain,
% 9.24/6.70 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s167) | (~node4(s167)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s167) | (~node4(s167)))),
% 9.24/6.70 inference(rewrite,[status(thm)],[])).
% 9.24/6.70 tff(27990,plain,
% 9.24/6.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s167) | (~node4(s167)))),
% 9.24/6.70 inference(quant_inst,[status(thm)],[])).
% 9.24/6.70 tff(27991,plain,
% 9.24/6.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s167) | (~node4(s167))),
% 9.24/6.70 inference(modus_ponens,[status(thm)],[27990, 27989])).
% 9.24/6.70 tff(27992,plain,
% 9.24/6.70 (m_main_v_request(s167)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27991, 154, 27988])).
% 9.24/6.70 tff(27993,plain,
% 9.24/6.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s167, s168)) | node2(s167, s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s167, s168)) | node2(s167, s168))),
% 9.24/6.70 inference(rewrite,[status(thm)],[])).
% 9.24/6.70 tff(27994,plain,
% 9.24/6.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s167, s168)) | node2(s167, s168))),
% 9.24/6.70 inference(quant_inst,[status(thm)],[])).
% 9.24/6.70 tff(27995,plain,
% 9.24/6.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s167, s168)) | node2(s167, s168)),
% 9.24/6.70 inference(modus_ponens,[status(thm)],[27994, 27993])).
% 9.24/6.70 tff(27996,plain,
% 9.24/6.70 (node2(s167, s168)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27995, 7, 7720])).
% 9.24/6.70 tff(27997,plain,
% 9.24/6.70 (((~![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(s167, c_ready)) | (~node2(s167, s168)) | m_main_v_state(s168, c_busy) | (~m_main_v_request(s167)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s167, c_ready)) | (~node2(s167, s168)) | m_main_v_state(s168, c_busy) | (~m_main_v_request(s167)))),
% 9.24/6.70 inference(rewrite,[status(thm)],[])).
% 9.24/6.70 tff(27998,plain,
% 9.24/6.70 ((~![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(s167, c_ready)) | (~node2(s167, s168)) | m_main_v_state(s168, c_busy) | (~m_main_v_request(s167)))),
% 9.24/6.70 inference(quant_inst,[status(thm)],[])).
% 9.24/6.70 tff(27999,plain,
% 9.24/6.70 ((~![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(s167, c_ready)) | (~node2(s167, s168)) | m_main_v_state(s168, c_busy) | (~m_main_v_request(s167))),
% 9.24/6.70 inference(modus_ponens,[status(thm)],[27998, 27997])).
% 9.24/6.70 tff(28000,plain,
% 9.24/6.70 ((~m_main_v_state(s167, c_ready)) | m_main_v_state(s168, c_busy) | (~m_main_v_request(s167))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27999, 191, 27996])).
% 9.24/6.70 tff(28001,plain,
% 9.24/6.70 (~m_main_v_state(s167, c_ready)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28000, 27992, 27987])).
% 9.24/6.70 tff(28002,plain,
% 9.24/6.70 (always3(s167)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7728, 22, 27988])).
% 9.24/6.70 tff(28003,plain,
% 9.24/6.70 (~m_main_v_state(s167, c_busy)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27253, 170, 28002])).
% 9.24/6.70 tff(28004,plain,
% 9.24/6.70 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s167, c_busy) | m_main_v_state(s167, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s167, c_busy) | m_main_v_state(s167, c_ready))),
% 9.24/6.70 inference(rewrite,[status(thm)],[])).
% 9.24/6.70 tff(28005,plain,
% 9.24/6.70 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s167, c_busy) | m_main_v_state(s167, c_ready))),
% 9.24/6.70 inference(quant_inst,[status(thm)],[])).
% 9.24/6.70 tff(28006,plain,
% 9.24/6.70 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s167, c_busy) | m_main_v_state(s167, c_ready)),
% 9.24/6.70 inference(modus_ponens,[status(thm)],[28005, 28004])).
% 9.24/6.70 tff(28007,plain,
% 9.24/6.70 ($false),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28006, 213, 28003, 28001])).
% 9.24/6.70 tff(28008,plain,((~node4(s167)) | m_main_v_state(s168, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.24/6.70 tff(28009,plain,
% 9.24/6.70 (~node4(s167)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28008, 27982])).
% 9.24/6.70 tff(28010,assumption,(until5(s167)), introduced(assumption)).
% 9.24/6.70 tff(28011,plain,
% 9.24/6.70 (xuntil6(s167) | node4(s167)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7735, 36, 28010])).
% 9.24/6.70 tff(28012,plain,
% 9.24/6.70 (xuntil6(s167)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28011, 28009])).
% 9.24/6.70 tff(28013,plain,
% 9.24/6.70 (until5(s168)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7715, 28012])).
% 9.24/6.70 tff(28014,plain,
% 9.24/6.70 (node4(s168)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[27315, 28013])).
% 9.24/6.70 tff(28015,plain,
% 9.24/6.70 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s168) | (~node4(s168)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s168) | (~node4(s168)))),
% 9.24/6.70 inference(rewrite,[status(thm)],[])).
% 9.24/6.70 tff(28016,plain,
% 9.24/6.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s168) | (~node4(s168)))),
% 9.24/6.70 inference(quant_inst,[status(thm)],[])).
% 9.24/6.70 tff(28017,plain,
% 9.24/6.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s168) | (~node4(s168))),
% 9.24/6.70 inference(modus_ponens,[status(thm)],[28016, 28015])).
% 9.24/6.70 tff(28018,plain,
% 9.24/6.70 (m_main_v_request(s168)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28017, 154, 28014])).
% 9.24/6.70 tff(28019,plain,
% 9.24/6.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s168, s169)) | node2(s168, s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s168, s169)) | node2(s168, s169))),
% 9.24/6.70 inference(rewrite,[status(thm)],[])).
% 9.24/6.70 tff(28020,plain,
% 9.24/6.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s168, s169)) | node2(s168, s169))),
% 9.24/6.70 inference(quant_inst,[status(thm)],[])).
% 9.24/6.70 tff(28021,plain,
% 9.24/6.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s168, s169)) | node2(s168, s169)),
% 9.24/6.70 inference(modus_ponens,[status(thm)],[28020, 28019])).
% 9.24/6.70 tff(28022,plain,
% 9.24/6.70 (node2(s168, s169)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28021, 7, 7691])).
% 9.24/6.70 tff(28023,plain,
% 9.24/6.70 (((~![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(s168, c_ready)) | (~node2(s168, s169)) | m_main_v_state(s169, c_busy) | (~m_main_v_request(s168)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s168, c_ready)) | (~node2(s168, s169)) | m_main_v_state(s169, c_busy) | (~m_main_v_request(s168)))),
% 9.24/6.70 inference(rewrite,[status(thm)],[])).
% 9.24/6.70 tff(28024,plain,
% 9.24/6.70 ((~![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(s168, c_ready)) | (~node2(s168, s169)) | m_main_v_state(s169, c_busy) | (~m_main_v_request(s168)))),
% 9.24/6.70 inference(quant_inst,[status(thm)],[])).
% 9.24/6.70 tff(28025,plain,
% 9.24/6.70 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s168, c_ready)) | (~node2(s168, s169)) | m_main_v_state(s169, c_busy) | (~m_main_v_request(s168))),
% 9.24/6.70 inference(modus_ponens,[status(thm)],[28024, 28023])).
% 9.24/6.70 tff(28026,plain,
% 9.24/6.70 ((~m_main_v_state(s168, c_ready)) | m_main_v_state(s169, c_busy) | (~m_main_v_request(s168))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28025, 191, 28022])).
% 9.24/6.70 tff(28027,plain,
% 9.24/6.70 ($false),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28026, 28018, 27986, 27975])).
% 9.24/6.70 tff(28028,plain,(xuntil6(s168) | (~until5(s167))), inference(lemma,lemma(discharge,[]))).
% 9.24/6.70 tff(28029,plain,
% 9.24/6.70 (xuntil6(s168)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28028, 27309])).
% 9.24/6.70 tff(28030,plain,
% 9.24/6.70 (until5(s169)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7686, 28029])).
% 9.24/6.70 tff(28031,assumption,(until5(s169)), introduced(assumption)).
% 9.24/6.70 tff(28032,assumption,(~xuntil6(s171)), introduced(assumption)).
% 9.24/6.70 tff(28033,assumption,(~always3(s171)), introduced(assumption)).
% 9.24/6.70 tff(28034,plain,
% 9.24/6.70 (~always3(s170)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7637, 28033])).
% 9.24/6.70 tff(28035,plain,
% 9.24/6.70 (~node4(s170)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7641, 22, 28034])).
% 9.24/6.70 tff(28036,plain,
% 9.24/6.70 (~node4(s171)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7612, 22, 28033])).
% 9.24/6.70 tff(28037,plain,
% 9.24/6.70 (node4(s171) | (~until5(s171))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7619, 36, 28032])).
% 9.24/6.70 tff(28038,plain,
% 9.24/6.70 (~until5(s171)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28037, 28036])).
% 9.24/6.70 tff(28039,plain,
% 9.24/6.70 (~xuntil6(s170)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7628, 28038])).
% 9.24/6.70 tff(28040,plain,
% 9.24/6.70 (~until5(s170)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7648, 36, 28039, 28035])).
% 9.24/6.70 tff(28041,plain,
% 9.24/6.70 (~xuntil6(s169)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7657, 28040])).
% 9.24/6.70 tff(28042,plain,
% 9.24/6.70 (~always3(s169)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7666, 28034])).
% 9.24/6.70 tff(28043,plain,
% 9.24/6.70 (~node4(s169)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7670, 22, 28042])).
% 9.24/6.70 tff(28044,plain,
% 9.24/6.70 (xuntil6(s169) | (~until5(s169))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7677, 36, 28043])).
% 9.24/6.70 tff(28045,plain,
% 9.24/6.70 (~until5(s169)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28044, 28041])).
% 9.24/6.70 tff(28046,plain,
% 9.24/6.70 (~xuntil6(s168)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7686, 28045])).
% 9.24/6.70 tff(28047,plain,
% 9.24/6.70 (~always3(s168)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7695, 28042])).
% 9.24/6.70 tff(28048,plain,
% 9.24/6.70 (~node4(s168)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7699, 22, 28047])).
% 9.24/6.70 tff(28049,plain,
% 9.24/6.70 (xuntil6(s168) | (~until5(s168))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7706, 36, 28048])).
% 9.24/6.70 tff(28050,plain,
% 9.24/6.70 (~until5(s168)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28049, 28046])).
% 9.24/6.70 tff(28051,plain,
% 9.24/6.70 (~xuntil6(s167)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7715, 28050])).
% 9.24/6.70 tff(28052,plain,
% 9.24/6.70 (~always3(s167)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7724, 28047])).
% 9.24/6.70 tff(28053,plain,
% 9.24/6.70 (~node4(s167)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7728, 22, 28052])).
% 9.24/6.70 tff(28054,plain,
% 9.24/6.70 (xuntil6(s167) | (~until5(s167))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7735, 36, 28053])).
% 9.24/6.70 tff(28055,plain,
% 9.24/6.70 (~until5(s167)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28054, 28051])).
% 9.24/6.70 tff(28056,plain,
% 9.24/6.70 (~xuntil6(s166)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7744, 28055])).
% 9.24/6.70 tff(28057,plain,
% 9.24/6.70 (~always3(s166)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7753, 28052])).
% 9.24/6.70 tff(28058,plain,
% 9.24/6.70 (~node4(s166)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7757, 22, 28057])).
% 9.24/6.70 tff(28059,plain,
% 9.24/6.70 (xuntil6(s166) | (~until5(s166))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7764, 36, 28058])).
% 9.24/6.70 tff(28060,plain,
% 9.24/6.70 (~until5(s166)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28059, 28056])).
% 9.24/6.70 tff(28061,plain,
% 9.24/6.70 (~xuntil6(s165)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7773, 28060])).
% 9.24/6.70 tff(28062,plain,
% 9.24/6.70 (~always3(s165)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7782, 28057])).
% 9.24/6.70 tff(28063,plain,
% 9.24/6.70 (~node4(s165)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7786, 22, 28062])).
% 9.24/6.70 tff(28064,plain,
% 9.24/6.70 (xuntil6(s165) | (~until5(s165))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7793, 36, 28063])).
% 9.24/6.70 tff(28065,plain,
% 9.24/6.70 (~until5(s165)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28064, 28061])).
% 9.24/6.70 tff(28066,plain,
% 9.24/6.70 (~xuntil6(s164)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7802, 28065])).
% 9.24/6.70 tff(28067,plain,
% 9.24/6.70 (~always3(s164)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7811, 28062])).
% 9.24/6.70 tff(28068,plain,
% 9.24/6.70 (~node4(s164)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7815, 22, 28067])).
% 9.24/6.70 tff(28069,plain,
% 9.24/6.70 (xuntil6(s164) | (~until5(s164))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7822, 36, 28068])).
% 9.24/6.70 tff(28070,plain,
% 9.24/6.70 (~until5(s164)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28069, 28066])).
% 9.24/6.70 tff(28071,plain,
% 9.24/6.70 (~xuntil6(s163)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7831, 28070])).
% 9.24/6.70 tff(28072,plain,
% 9.24/6.70 (~always3(s163)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7840, 28067])).
% 9.24/6.70 tff(28073,plain,
% 9.24/6.70 (~node4(s163)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7844, 22, 28072])).
% 9.24/6.70 tff(28074,plain,
% 9.24/6.70 (xuntil6(s163) | (~until5(s163))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7851, 36, 28073])).
% 9.24/6.70 tff(28075,plain,
% 9.24/6.70 (~until5(s163)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28074, 28071])).
% 9.24/6.70 tff(28076,plain,
% 9.24/6.70 (~xuntil6(s162)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7860, 28075])).
% 9.24/6.70 tff(28077,plain,
% 9.24/6.70 (~always3(s162)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7869, 28072])).
% 9.24/6.70 tff(28078,plain,
% 9.24/6.70 (~node4(s162)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7873, 22, 28077])).
% 9.24/6.70 tff(28079,plain,
% 9.24/6.70 (xuntil6(s162) | (~until5(s162))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7880, 36, 28078])).
% 9.24/6.70 tff(28080,plain,
% 9.24/6.70 (~until5(s162)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28079, 28076])).
% 9.24/6.70 tff(28081,plain,
% 9.24/6.70 (~xuntil6(s161)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7889, 28080])).
% 9.24/6.70 tff(28082,plain,
% 9.24/6.70 (~always3(s161)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7898, 28077])).
% 9.24/6.70 tff(28083,plain,
% 9.24/6.70 (~node4(s161)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7902, 22, 28082])).
% 9.24/6.70 tff(28084,plain,
% 9.24/6.70 (xuntil6(s161) | (~until5(s161))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7909, 36, 28083])).
% 9.24/6.70 tff(28085,plain,
% 9.24/6.70 (~until5(s161)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28084, 28081])).
% 9.24/6.70 tff(28086,plain,
% 9.24/6.70 (~xuntil6(s160)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7918, 28085])).
% 9.24/6.70 tff(28087,plain,
% 9.24/6.70 (~always3(s160)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7927, 28082])).
% 9.24/6.70 tff(28088,plain,
% 9.24/6.70 (~node4(s160)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7931, 22, 28087])).
% 9.24/6.70 tff(28089,plain,
% 9.24/6.70 (xuntil6(s160) | (~until5(s160))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7938, 36, 28088])).
% 9.24/6.70 tff(28090,plain,
% 9.24/6.70 (~until5(s160)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28089, 28086])).
% 9.24/6.70 tff(28091,plain,
% 9.24/6.70 (~xuntil6(s159)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7947, 28090])).
% 9.24/6.70 tff(28092,plain,
% 9.24/6.70 (~always3(s159)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7956, 28087])).
% 9.24/6.70 tff(28093,plain,
% 9.24/6.70 (~node4(s159)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7960, 22, 28092])).
% 9.24/6.70 tff(28094,plain,
% 9.24/6.70 (xuntil6(s159) | (~until5(s159))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7967, 36, 28093])).
% 9.24/6.70 tff(28095,plain,
% 9.24/6.70 (~until5(s159)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28094, 28091])).
% 9.24/6.70 tff(28096,plain,
% 9.24/6.70 (~xuntil6(s158)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7976, 28095])).
% 9.24/6.70 tff(28097,plain,
% 9.24/6.70 (~always3(s158)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7985, 28092])).
% 9.24/6.70 tff(28098,plain,
% 9.24/6.70 (~node4(s158)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7989, 22, 28097])).
% 9.24/6.70 tff(28099,plain,
% 9.24/6.70 (xuntil6(s158) | (~until5(s158))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[7996, 36, 28098])).
% 9.24/6.70 tff(28100,plain,
% 9.24/6.70 (~until5(s158)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28099, 28096])).
% 9.24/6.70 tff(28101,plain,
% 9.24/6.70 (~xuntil6(s157)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8005, 28100])).
% 9.24/6.70 tff(28102,plain,
% 9.24/6.70 (~always3(s157)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8014, 28097])).
% 9.24/6.70 tff(28103,plain,
% 9.24/6.70 (~node4(s157)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8018, 22, 28102])).
% 9.24/6.70 tff(28104,plain,
% 9.24/6.70 (xuntil6(s157) | (~until5(s157))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8025, 36, 28103])).
% 9.24/6.70 tff(28105,plain,
% 9.24/6.70 (~until5(s157)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28104, 28101])).
% 9.24/6.70 tff(28106,plain,
% 9.24/6.70 (~xuntil6(s156)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8034, 28105])).
% 9.24/6.70 tff(28107,plain,
% 9.24/6.70 (~always3(s156)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8043, 28102])).
% 9.24/6.70 tff(28108,plain,
% 9.24/6.70 (~node4(s156)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8047, 22, 28107])).
% 9.24/6.70 tff(28109,plain,
% 9.24/6.70 (xuntil6(s156) | (~until5(s156))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8054, 36, 28108])).
% 9.24/6.70 tff(28110,plain,
% 9.24/6.70 (~until5(s156)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28109, 28106])).
% 9.24/6.70 tff(28111,plain,
% 9.24/6.70 (~xuntil6(s155)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8063, 28110])).
% 9.24/6.70 tff(28112,plain,
% 9.24/6.70 (~always3(s155)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8072, 28107])).
% 9.24/6.70 tff(28113,plain,
% 9.24/6.70 (~node4(s155)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8076, 22, 28112])).
% 9.24/6.70 tff(28114,plain,
% 9.24/6.70 (xuntil6(s155) | (~until5(s155))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8083, 36, 28113])).
% 9.24/6.70 tff(28115,plain,
% 9.24/6.70 (~until5(s155)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28114, 28111])).
% 9.24/6.70 tff(28116,plain,
% 9.24/6.70 (~xuntil6(s154)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8092, 28115])).
% 9.24/6.70 tff(28117,plain,
% 9.24/6.70 (~always3(s154)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8101, 28112])).
% 9.24/6.70 tff(28118,plain,
% 9.24/6.70 (~node4(s154)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8105, 22, 28117])).
% 9.24/6.70 tff(28119,plain,
% 9.24/6.70 (xuntil6(s154) | (~until5(s154))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8112, 36, 28118])).
% 9.24/6.70 tff(28120,plain,
% 9.24/6.70 (~until5(s154)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28119, 28116])).
% 9.24/6.70 tff(28121,plain,
% 9.24/6.70 (~xuntil6(s153)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8121, 28120])).
% 9.24/6.70 tff(28122,plain,
% 9.24/6.70 (~always3(s153)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8130, 28117])).
% 9.24/6.70 tff(28123,plain,
% 9.24/6.70 (~node4(s153)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8134, 22, 28122])).
% 9.24/6.70 tff(28124,plain,
% 9.24/6.70 (xuntil6(s153) | (~until5(s153))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8141, 36, 28123])).
% 9.24/6.70 tff(28125,plain,
% 9.24/6.70 (~until5(s153)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28124, 28121])).
% 9.24/6.70 tff(28126,plain,
% 9.24/6.70 (~xuntil6(s152)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8150, 28125])).
% 9.24/6.70 tff(28127,plain,
% 9.24/6.70 (~always3(s152)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8159, 28122])).
% 9.24/6.70 tff(28128,plain,
% 9.24/6.70 (~node4(s152)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8163, 22, 28127])).
% 9.24/6.70 tff(28129,plain,
% 9.24/6.70 (xuntil6(s152) | (~until5(s152))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8170, 36, 28128])).
% 9.24/6.70 tff(28130,plain,
% 9.24/6.70 (~until5(s152)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28129, 28126])).
% 9.24/6.70 tff(28131,plain,
% 9.24/6.70 (~xuntil6(s151)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8179, 28130])).
% 9.24/6.70 tff(28132,plain,
% 9.24/6.70 (~always3(s151)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8188, 28127])).
% 9.24/6.70 tff(28133,plain,
% 9.24/6.70 (~node4(s151)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8192, 22, 28132])).
% 9.24/6.70 tff(28134,plain,
% 9.24/6.70 (xuntil6(s151) | (~until5(s151))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8199, 36, 28133])).
% 9.24/6.70 tff(28135,plain,
% 9.24/6.70 (~until5(s151)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28134, 28131])).
% 9.24/6.70 tff(28136,plain,
% 9.24/6.70 (~xuntil6(s150)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8208, 28135])).
% 9.24/6.70 tff(28137,plain,
% 9.24/6.70 (~always3(s150)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8217, 28132])).
% 9.24/6.70 tff(28138,plain,
% 9.24/6.70 (~node4(s150)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8221, 22, 28137])).
% 9.24/6.70 tff(28139,plain,
% 9.24/6.70 (xuntil6(s150) | (~until5(s150))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8228, 36, 28138])).
% 9.24/6.70 tff(28140,plain,
% 9.24/6.70 (~until5(s150)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28139, 28136])).
% 9.24/6.70 tff(28141,plain,
% 9.24/6.70 (~xuntil6(s149)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8237, 28140])).
% 9.24/6.70 tff(28142,plain,
% 9.24/6.70 (~always3(s149)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8246, 28137])).
% 9.24/6.70 tff(28143,plain,
% 9.24/6.70 (~node4(s149)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8250, 22, 28142])).
% 9.24/6.70 tff(28144,plain,
% 9.24/6.70 (xuntil6(s149) | (~until5(s149))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8257, 36, 28143])).
% 9.24/6.70 tff(28145,plain,
% 9.24/6.70 (~until5(s149)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28144, 28141])).
% 9.24/6.70 tff(28146,plain,
% 9.24/6.70 (~xuntil6(s148)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8266, 28145])).
% 9.24/6.70 tff(28147,plain,
% 9.24/6.70 (~always3(s148)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8275, 28142])).
% 9.24/6.70 tff(28148,plain,
% 9.24/6.70 (~node4(s148)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8279, 22, 28147])).
% 9.24/6.70 tff(28149,plain,
% 9.24/6.70 (xuntil6(s148) | (~until5(s148))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8286, 36, 28148])).
% 9.24/6.70 tff(28150,plain,
% 9.24/6.70 (~until5(s148)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28149, 28146])).
% 9.24/6.70 tff(28151,plain,
% 9.24/6.70 (~xuntil6(s147)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8295, 28150])).
% 9.24/6.70 tff(28152,plain,
% 9.24/6.70 (~always3(s147)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8304, 28147])).
% 9.24/6.70 tff(28153,plain,
% 9.24/6.70 (~node4(s147)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8308, 22, 28152])).
% 9.24/6.70 tff(28154,plain,
% 9.24/6.70 (xuntil6(s147) | (~until5(s147))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8315, 36, 28153])).
% 9.24/6.70 tff(28155,plain,
% 9.24/6.70 (~until5(s147)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28154, 28151])).
% 9.24/6.70 tff(28156,plain,
% 9.24/6.70 (~xuntil6(s146)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8324, 28155])).
% 9.24/6.70 tff(28157,plain,
% 9.24/6.70 (~always3(s146)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8333, 28152])).
% 9.24/6.70 tff(28158,plain,
% 9.24/6.70 (~node4(s146)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8337, 22, 28157])).
% 9.24/6.70 tff(28159,plain,
% 9.24/6.70 (xuntil6(s146) | (~until5(s146))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8344, 36, 28158])).
% 9.24/6.70 tff(28160,plain,
% 9.24/6.70 (~until5(s146)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28159, 28156])).
% 9.24/6.70 tff(28161,plain,
% 9.24/6.70 (~xuntil6(s145)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8353, 28160])).
% 9.24/6.70 tff(28162,plain,
% 9.24/6.70 (~always3(s145)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8362, 28157])).
% 9.24/6.70 tff(28163,plain,
% 9.24/6.70 (~node4(s145)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8366, 22, 28162])).
% 9.24/6.70 tff(28164,plain,
% 9.24/6.70 (xuntil6(s145) | (~until5(s145))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8373, 36, 28163])).
% 9.24/6.70 tff(28165,plain,
% 9.24/6.70 (~until5(s145)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28164, 28161])).
% 9.24/6.70 tff(28166,plain,
% 9.24/6.70 (~xuntil6(s144)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8382, 28165])).
% 9.24/6.70 tff(28167,plain,
% 9.24/6.70 (~always3(s144)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8391, 28162])).
% 9.24/6.70 tff(28168,plain,
% 9.24/6.70 (~node4(s144)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8395, 22, 28167])).
% 9.24/6.70 tff(28169,plain,
% 9.24/6.70 (xuntil6(s144) | (~until5(s144))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8402, 36, 28168])).
% 9.24/6.70 tff(28170,plain,
% 9.24/6.70 (~until5(s144)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28169, 28166])).
% 9.24/6.70 tff(28171,plain,
% 9.24/6.70 (~xuntil6(s143)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8411, 28170])).
% 9.24/6.70 tff(28172,plain,
% 9.24/6.70 (~always3(s143)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8420, 28167])).
% 9.24/6.70 tff(28173,plain,
% 9.24/6.70 (~node4(s143)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8424, 22, 28172])).
% 9.24/6.70 tff(28174,plain,
% 9.24/6.70 (xuntil6(s143) | (~until5(s143))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8431, 36, 28173])).
% 9.24/6.70 tff(28175,plain,
% 9.24/6.70 (~until5(s143)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28174, 28171])).
% 9.24/6.70 tff(28176,plain,
% 9.24/6.70 (~xuntil6(s142)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8440, 28175])).
% 9.24/6.70 tff(28177,plain,
% 9.24/6.70 (~always3(s142)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8449, 28172])).
% 9.24/6.70 tff(28178,plain,
% 9.24/6.70 (~node4(s142)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8453, 22, 28177])).
% 9.24/6.70 tff(28179,plain,
% 9.24/6.70 (xuntil6(s142) | (~until5(s142))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8460, 36, 28178])).
% 9.24/6.70 tff(28180,plain,
% 9.24/6.70 (~until5(s142)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28179, 28176])).
% 9.24/6.70 tff(28181,plain,
% 9.24/6.70 (~xuntil6(s141)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8469, 28180])).
% 9.24/6.70 tff(28182,plain,
% 9.24/6.70 (~always3(s141)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8478, 28177])).
% 9.24/6.70 tff(28183,plain,
% 9.24/6.70 (~node4(s141)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8482, 22, 28182])).
% 9.24/6.70 tff(28184,plain,
% 9.24/6.70 (xuntil6(s141) | (~until5(s141))),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8489, 36, 28183])).
% 9.24/6.70 tff(28185,plain,
% 9.24/6.70 (~until5(s141)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[28184, 28181])).
% 9.24/6.70 tff(28186,plain,
% 9.24/6.70 (~xuntil6(s140)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8498, 28185])).
% 9.24/6.70 tff(28187,plain,
% 9.24/6.70 (~always3(s140)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8507, 28182])).
% 9.24/6.70 tff(28188,plain,
% 9.24/6.70 (~node4(s140)),
% 9.24/6.70 inference(unit_resolution,[status(thm)],[8511, 22, 28187])).
% 9.24/6.70 tff(28189,plain,
% 9.24/6.71 (xuntil6(s140) | (~until5(s140))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8518, 36, 28188])).
% 9.24/6.71 tff(28190,plain,
% 9.24/6.71 (~until5(s140)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28189, 28186])).
% 9.24/6.71 tff(28191,plain,
% 9.24/6.71 (~xuntil6(s139)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8527, 28190])).
% 9.24/6.71 tff(28192,plain,
% 9.24/6.71 (~always3(s139)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8536, 28187])).
% 9.24/6.71 tff(28193,plain,
% 9.24/6.71 (~node4(s139)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8540, 22, 28192])).
% 9.24/6.71 tff(28194,plain,
% 9.24/6.71 (xuntil6(s139) | (~until5(s139))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8547, 36, 28193])).
% 9.24/6.71 tff(28195,plain,
% 9.24/6.71 (~until5(s139)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28194, 28191])).
% 9.24/6.71 tff(28196,plain,
% 9.24/6.71 (~xuntil6(s138)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8556, 28195])).
% 9.24/6.71 tff(28197,plain,
% 9.24/6.71 (~always3(s138)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8565, 28192])).
% 9.24/6.71 tff(28198,plain,
% 9.24/6.71 (~node4(s138)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8569, 22, 28197])).
% 9.24/6.71 tff(28199,plain,
% 9.24/6.71 (xuntil6(s138) | (~until5(s138))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8576, 36, 28198])).
% 9.24/6.71 tff(28200,plain,
% 9.24/6.71 (~until5(s138)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28199, 28196])).
% 9.24/6.71 tff(28201,plain,
% 9.24/6.71 (~xuntil6(s137)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8585, 28200])).
% 9.24/6.71 tff(28202,plain,
% 9.24/6.71 (~always3(s137)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8594, 28197])).
% 9.24/6.71 tff(28203,plain,
% 9.24/6.71 (~node4(s137)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8598, 22, 28202])).
% 9.24/6.71 tff(28204,plain,
% 9.24/6.71 (xuntil6(s137) | (~until5(s137))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8605, 36, 28203])).
% 9.24/6.71 tff(28205,plain,
% 9.24/6.71 (~until5(s137)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28204, 28201])).
% 9.24/6.71 tff(28206,plain,
% 9.24/6.71 (~xuntil6(s136)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10896, 28205])).
% 9.24/6.71 tff(28207,plain,
% 9.24/6.71 (~always3(s136)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8618, 28202])).
% 9.24/6.71 tff(28208,plain,
% 9.24/6.71 (~node4(s136)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10883, 22, 28207])).
% 9.24/6.71 tff(28209,plain,
% 9.24/6.71 (xuntil6(s136) | (~until5(s136))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10890, 36, 28208])).
% 9.24/6.71 tff(28210,plain,
% 9.24/6.71 (~until5(s136)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28209, 28206])).
% 9.24/6.71 tff(28211,plain,
% 9.24/6.71 (~xuntil6(s135)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10879, 28210])).
% 9.24/6.71 tff(28212,plain,
% 9.24/6.71 (~always3(s135)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8630, 28207])).
% 9.24/6.71 tff(28213,plain,
% 9.24/6.71 (~node4(s135)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10866, 22, 28212])).
% 9.24/6.71 tff(28214,plain,
% 9.24/6.71 (xuntil6(s135) | (~until5(s135))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10873, 36, 28213])).
% 9.24/6.71 tff(28215,plain,
% 9.24/6.71 (~until5(s135)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28214, 28211])).
% 9.24/6.71 tff(28216,plain,
% 9.24/6.71 (~xuntil6(s134)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10862, 28215])).
% 9.24/6.71 tff(28217,plain,
% 9.24/6.71 (~always3(s134)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8642, 28212])).
% 9.24/6.71 tff(28218,plain,
% 9.24/6.71 (~node4(s134)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10849, 22, 28217])).
% 9.24/6.71 tff(28219,plain,
% 9.24/6.71 (xuntil6(s134) | (~until5(s134))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10856, 36, 28218])).
% 9.24/6.71 tff(28220,plain,
% 9.24/6.71 (~until5(s134)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28219, 28216])).
% 9.24/6.71 tff(28221,plain,
% 9.24/6.71 (~xuntil6(s133)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10845, 28220])).
% 9.24/6.71 tff(28222,plain,
% 9.24/6.71 (~always3(s133)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8654, 28217])).
% 9.24/6.71 tff(28223,plain,
% 9.24/6.71 (~node4(s133)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10832, 22, 28222])).
% 9.24/6.71 tff(28224,plain,
% 9.24/6.71 (xuntil6(s133) | (~until5(s133))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10839, 36, 28223])).
% 9.24/6.71 tff(28225,plain,
% 9.24/6.71 (~until5(s133)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28224, 28221])).
% 9.24/6.71 tff(28226,plain,
% 9.24/6.71 (~xuntil6(s132)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10828, 28225])).
% 9.24/6.71 tff(28227,plain,
% 9.24/6.71 (~always3(s132)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8666, 28222])).
% 9.24/6.71 tff(28228,plain,
% 9.24/6.71 (~node4(s132)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10815, 22, 28227])).
% 9.24/6.71 tff(28229,plain,
% 9.24/6.71 (xuntil6(s132) | (~until5(s132))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10822, 36, 28228])).
% 9.24/6.71 tff(28230,plain,
% 9.24/6.71 (~until5(s132)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28229, 28226])).
% 9.24/6.71 tff(28231,plain,
% 9.24/6.71 (~xuntil6(s131)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10811, 28230])).
% 9.24/6.71 tff(28232,plain,
% 9.24/6.71 (~always3(s131)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8678, 28227])).
% 9.24/6.71 tff(28233,plain,
% 9.24/6.71 (~node4(s131)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10798, 22, 28232])).
% 9.24/6.71 tff(28234,plain,
% 9.24/6.71 (xuntil6(s131) | (~until5(s131))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10805, 36, 28233])).
% 9.24/6.71 tff(28235,plain,
% 9.24/6.71 (~until5(s131)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28234, 28231])).
% 9.24/6.71 tff(28236,plain,
% 9.24/6.71 (~xuntil6(s130)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10794, 28235])).
% 9.24/6.71 tff(28237,plain,
% 9.24/6.71 (~always3(s130)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8690, 28232])).
% 9.24/6.71 tff(28238,plain,
% 9.24/6.71 (~node4(s130)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10781, 22, 28237])).
% 9.24/6.71 tff(28239,plain,
% 9.24/6.71 (xuntil6(s130) | (~until5(s130))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10788, 36, 28238])).
% 9.24/6.71 tff(28240,plain,
% 9.24/6.71 (~until5(s130)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28239, 28236])).
% 9.24/6.71 tff(28241,plain,
% 9.24/6.71 (~xuntil6(s129)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10777, 28240])).
% 9.24/6.71 tff(28242,plain,
% 9.24/6.71 (~always3(s129)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8702, 28237])).
% 9.24/6.71 tff(28243,plain,
% 9.24/6.71 (~node4(s129)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10764, 22, 28242])).
% 9.24/6.71 tff(28244,plain,
% 9.24/6.71 (xuntil6(s129) | (~until5(s129))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10771, 36, 28243])).
% 9.24/6.71 tff(28245,plain,
% 9.24/6.71 (~until5(s129)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28244, 28241])).
% 9.24/6.71 tff(28246,plain,
% 9.24/6.71 (~xuntil6(s128)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10760, 28245])).
% 9.24/6.71 tff(28247,plain,
% 9.24/6.71 (~always3(s128)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8714, 28242])).
% 9.24/6.71 tff(28248,plain,
% 9.24/6.71 (~node4(s128)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10747, 22, 28247])).
% 9.24/6.71 tff(28249,plain,
% 9.24/6.71 (xuntil6(s128) | (~until5(s128))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10754, 36, 28248])).
% 9.24/6.71 tff(28250,plain,
% 9.24/6.71 (~until5(s128)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28249, 28246])).
% 9.24/6.71 tff(28251,plain,
% 9.24/6.71 (~xuntil6(s127)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10743, 28250])).
% 9.24/6.71 tff(28252,plain,
% 9.24/6.71 (~always3(s127)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8726, 28247])).
% 9.24/6.71 tff(28253,plain,
% 9.24/6.71 (~node4(s127)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10730, 22, 28252])).
% 9.24/6.71 tff(28254,plain,
% 9.24/6.71 (xuntil6(s127) | (~until5(s127))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10737, 36, 28253])).
% 9.24/6.71 tff(28255,plain,
% 9.24/6.71 (~until5(s127)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28254, 28251])).
% 9.24/6.71 tff(28256,plain,
% 9.24/6.71 (~xuntil6(s126)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10726, 28255])).
% 9.24/6.71 tff(28257,plain,
% 9.24/6.71 (~always3(s126)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8738, 28252])).
% 9.24/6.71 tff(28258,plain,
% 9.24/6.71 (~node4(s126)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10713, 22, 28257])).
% 9.24/6.71 tff(28259,plain,
% 9.24/6.71 (xuntil6(s126) | (~until5(s126))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10720, 36, 28258])).
% 9.24/6.71 tff(28260,plain,
% 9.24/6.71 (~until5(s126)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28259, 28256])).
% 9.24/6.71 tff(28261,plain,
% 9.24/6.71 (~xuntil6(s125)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10709, 28260])).
% 9.24/6.71 tff(28262,plain,
% 9.24/6.71 (~always3(s125)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8750, 28257])).
% 9.24/6.71 tff(28263,plain,
% 9.24/6.71 (~node4(s125)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10696, 22, 28262])).
% 9.24/6.71 tff(28264,plain,
% 9.24/6.71 (xuntil6(s125) | (~until5(s125))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10703, 36, 28263])).
% 9.24/6.71 tff(28265,plain,
% 9.24/6.71 (~until5(s125)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28264, 28261])).
% 9.24/6.71 tff(28266,plain,
% 9.24/6.71 (~xuntil6(s124)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10692, 28265])).
% 9.24/6.71 tff(28267,plain,
% 9.24/6.71 (~always3(s124)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8762, 28262])).
% 9.24/6.71 tff(28268,plain,
% 9.24/6.71 (~node4(s124)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10679, 22, 28267])).
% 9.24/6.71 tff(28269,plain,
% 9.24/6.71 (xuntil6(s124) | (~until5(s124))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10686, 36, 28268])).
% 9.24/6.71 tff(28270,plain,
% 9.24/6.71 (~until5(s124)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28269, 28266])).
% 9.24/6.71 tff(28271,plain,
% 9.24/6.71 (~xuntil6(s123)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10675, 28270])).
% 9.24/6.71 tff(28272,plain,
% 9.24/6.71 (~always3(s123)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8774, 28267])).
% 9.24/6.71 tff(28273,plain,
% 9.24/6.71 (~node4(s123)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10662, 22, 28272])).
% 9.24/6.71 tff(28274,plain,
% 9.24/6.71 (xuntil6(s123) | (~until5(s123))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10669, 36, 28273])).
% 9.24/6.71 tff(28275,plain,
% 9.24/6.71 (~until5(s123)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28274, 28271])).
% 9.24/6.71 tff(28276,plain,
% 9.24/6.71 (~xuntil6(s122)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10658, 28275])).
% 9.24/6.71 tff(28277,plain,
% 9.24/6.71 (~always3(s122)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8786, 28272])).
% 9.24/6.71 tff(28278,plain,
% 9.24/6.71 (~node4(s122)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10645, 22, 28277])).
% 9.24/6.71 tff(28279,plain,
% 9.24/6.71 (xuntil6(s122) | (~until5(s122))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10652, 36, 28278])).
% 9.24/6.71 tff(28280,plain,
% 9.24/6.71 (~until5(s122)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28279, 28276])).
% 9.24/6.71 tff(28281,plain,
% 9.24/6.71 (~xuntil6(s121)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10641, 28280])).
% 9.24/6.71 tff(28282,plain,
% 9.24/6.71 (~always3(s121)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8798, 28277])).
% 9.24/6.71 tff(28283,plain,
% 9.24/6.71 (~node4(s121)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10628, 22, 28282])).
% 9.24/6.71 tff(28284,plain,
% 9.24/6.71 (xuntil6(s121) | (~until5(s121))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10635, 36, 28283])).
% 9.24/6.71 tff(28285,plain,
% 9.24/6.71 (~until5(s121)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28284, 28281])).
% 9.24/6.71 tff(28286,plain,
% 9.24/6.71 (~xuntil6(s120)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10624, 28285])).
% 9.24/6.71 tff(28287,plain,
% 9.24/6.71 (~always3(s120)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8810, 28282])).
% 9.24/6.71 tff(28288,plain,
% 9.24/6.71 (~node4(s120)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10611, 22, 28287])).
% 9.24/6.71 tff(28289,plain,
% 9.24/6.71 (xuntil6(s120) | (~until5(s120))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10618, 36, 28288])).
% 9.24/6.71 tff(28290,plain,
% 9.24/6.71 (~until5(s120)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28289, 28286])).
% 9.24/6.71 tff(28291,plain,
% 9.24/6.71 (~xuntil6(s119)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10607, 28290])).
% 9.24/6.71 tff(28292,plain,
% 9.24/6.71 (~always3(s119)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8822, 28287])).
% 9.24/6.71 tff(28293,plain,
% 9.24/6.71 (~node4(s119)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10594, 22, 28292])).
% 9.24/6.71 tff(28294,plain,
% 9.24/6.71 (xuntil6(s119) | (~until5(s119))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10601, 36, 28293])).
% 9.24/6.71 tff(28295,plain,
% 9.24/6.71 (~until5(s119)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28294, 28291])).
% 9.24/6.71 tff(28296,plain,
% 9.24/6.71 (~xuntil6(s118)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10590, 28295])).
% 9.24/6.71 tff(28297,plain,
% 9.24/6.71 (~always3(s118)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8834, 28292])).
% 9.24/6.71 tff(28298,plain,
% 9.24/6.71 (~node4(s118)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10577, 22, 28297])).
% 9.24/6.71 tff(28299,plain,
% 9.24/6.71 (xuntil6(s118) | (~until5(s118))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10584, 36, 28298])).
% 9.24/6.71 tff(28300,plain,
% 9.24/6.71 (~until5(s118)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28299, 28296])).
% 9.24/6.71 tff(28301,plain,
% 9.24/6.71 (~xuntil6(s117)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10573, 28300])).
% 9.24/6.71 tff(28302,plain,
% 9.24/6.71 (~always3(s117)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8846, 28297])).
% 9.24/6.71 tff(28303,plain,
% 9.24/6.71 (~node4(s117)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10560, 22, 28302])).
% 9.24/6.71 tff(28304,plain,
% 9.24/6.71 (xuntil6(s117) | (~until5(s117))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10567, 36, 28303])).
% 9.24/6.71 tff(28305,plain,
% 9.24/6.71 (~until5(s117)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28304, 28301])).
% 9.24/6.71 tff(28306,plain,
% 9.24/6.71 (~xuntil6(s116)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10556, 28305])).
% 9.24/6.71 tff(28307,plain,
% 9.24/6.71 (~always3(s116)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8858, 28302])).
% 9.24/6.71 tff(28308,plain,
% 9.24/6.71 (~node4(s116)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10543, 22, 28307])).
% 9.24/6.71 tff(28309,plain,
% 9.24/6.71 (xuntil6(s116) | (~until5(s116))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10550, 36, 28308])).
% 9.24/6.71 tff(28310,plain,
% 9.24/6.71 (~until5(s116)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28309, 28306])).
% 9.24/6.71 tff(28311,plain,
% 9.24/6.71 (~xuntil6(s115)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10539, 28310])).
% 9.24/6.71 tff(28312,plain,
% 9.24/6.71 (~always3(s115)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8870, 28307])).
% 9.24/6.71 tff(28313,plain,
% 9.24/6.71 (~node4(s115)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10526, 22, 28312])).
% 9.24/6.71 tff(28314,plain,
% 9.24/6.71 (xuntil6(s115) | (~until5(s115))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10533, 36, 28313])).
% 9.24/6.71 tff(28315,plain,
% 9.24/6.71 (~until5(s115)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28314, 28311])).
% 9.24/6.71 tff(28316,plain,
% 9.24/6.71 (~xuntil6(s114)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10522, 28315])).
% 9.24/6.71 tff(28317,plain,
% 9.24/6.71 (~always3(s114)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8882, 28312])).
% 9.24/6.71 tff(28318,plain,
% 9.24/6.71 (~node4(s114)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10509, 22, 28317])).
% 9.24/6.71 tff(28319,plain,
% 9.24/6.71 (xuntil6(s114) | (~until5(s114))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10516, 36, 28318])).
% 9.24/6.71 tff(28320,plain,
% 9.24/6.71 (~until5(s114)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28319, 28316])).
% 9.24/6.71 tff(28321,plain,
% 9.24/6.71 (~xuntil6(s113)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10505, 28320])).
% 9.24/6.71 tff(28322,plain,
% 9.24/6.71 (~always3(s113)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8894, 28317])).
% 9.24/6.71 tff(28323,plain,
% 9.24/6.71 (~node4(s113)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10492, 22, 28322])).
% 9.24/6.71 tff(28324,plain,
% 9.24/6.71 (xuntil6(s113) | (~until5(s113))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10499, 36, 28323])).
% 9.24/6.71 tff(28325,plain,
% 9.24/6.71 (~until5(s113)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28324, 28321])).
% 9.24/6.71 tff(28326,plain,
% 9.24/6.71 (~xuntil6(s112)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10488, 28325])).
% 9.24/6.71 tff(28327,plain,
% 9.24/6.71 (~always3(s112)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8906, 28322])).
% 9.24/6.71 tff(28328,plain,
% 9.24/6.71 (~node4(s112)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10475, 22, 28327])).
% 9.24/6.71 tff(28329,plain,
% 9.24/6.71 (xuntil6(s112) | (~until5(s112))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10482, 36, 28328])).
% 9.24/6.71 tff(28330,plain,
% 9.24/6.71 (~until5(s112)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28329, 28326])).
% 9.24/6.71 tff(28331,plain,
% 9.24/6.71 (~xuntil6(s111)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10471, 28330])).
% 9.24/6.71 tff(28332,plain,
% 9.24/6.71 (~always3(s111)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8918, 28327])).
% 9.24/6.71 tff(28333,plain,
% 9.24/6.71 (~node4(s111)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10458, 22, 28332])).
% 9.24/6.71 tff(28334,plain,
% 9.24/6.71 (xuntil6(s111) | (~until5(s111))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10465, 36, 28333])).
% 9.24/6.71 tff(28335,plain,
% 9.24/6.71 (~until5(s111)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28334, 28331])).
% 9.24/6.71 tff(28336,plain,
% 9.24/6.71 (~xuntil6(s110)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10454, 28335])).
% 9.24/6.71 tff(28337,plain,
% 9.24/6.71 (~always3(s110)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8930, 28332])).
% 9.24/6.71 tff(28338,plain,
% 9.24/6.71 (~node4(s110)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10441, 22, 28337])).
% 9.24/6.71 tff(28339,plain,
% 9.24/6.71 (xuntil6(s110) | (~until5(s110))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10448, 36, 28338])).
% 9.24/6.71 tff(28340,plain,
% 9.24/6.71 (~until5(s110)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28339, 28336])).
% 9.24/6.71 tff(28341,plain,
% 9.24/6.71 (~xuntil6(s109)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10437, 28340])).
% 9.24/6.71 tff(28342,plain,
% 9.24/6.71 (~always3(s109)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8942, 28337])).
% 9.24/6.71 tff(28343,plain,
% 9.24/6.71 (~node4(s109)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10424, 22, 28342])).
% 9.24/6.71 tff(28344,plain,
% 9.24/6.71 (xuntil6(s109) | (~until5(s109))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10431, 36, 28343])).
% 9.24/6.71 tff(28345,plain,
% 9.24/6.71 (~until5(s109)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28344, 28341])).
% 9.24/6.71 tff(28346,plain,
% 9.24/6.71 (~xuntil6(s108)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10420, 28345])).
% 9.24/6.71 tff(28347,plain,
% 9.24/6.71 (~always3(s108)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8954, 28342])).
% 9.24/6.71 tff(28348,plain,
% 9.24/6.71 (~node4(s108)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10407, 22, 28347])).
% 9.24/6.71 tff(28349,plain,
% 9.24/6.71 (xuntil6(s108) | (~until5(s108))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10414, 36, 28348])).
% 9.24/6.71 tff(28350,plain,
% 9.24/6.71 (~until5(s108)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28349, 28346])).
% 9.24/6.71 tff(28351,plain,
% 9.24/6.71 (~xuntil6(s107)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10403, 28350])).
% 9.24/6.71 tff(28352,plain,
% 9.24/6.71 (~always3(s107)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8966, 28347])).
% 9.24/6.71 tff(28353,plain,
% 9.24/6.71 (~node4(s107)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10390, 22, 28352])).
% 9.24/6.71 tff(28354,plain,
% 9.24/6.71 (xuntil6(s107) | (~until5(s107))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10397, 36, 28353])).
% 9.24/6.71 tff(28355,plain,
% 9.24/6.71 (~until5(s107)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28354, 28351])).
% 9.24/6.71 tff(28356,plain,
% 9.24/6.71 (~xuntil6(s106)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10386, 28355])).
% 9.24/6.71 tff(28357,plain,
% 9.24/6.71 (~always3(s106)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8978, 28352])).
% 9.24/6.71 tff(28358,plain,
% 9.24/6.71 (~node4(s106)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10373, 22, 28357])).
% 9.24/6.71 tff(28359,plain,
% 9.24/6.71 (xuntil6(s106) | (~until5(s106))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10380, 36, 28358])).
% 9.24/6.71 tff(28360,plain,
% 9.24/6.71 (~until5(s106)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28359, 28356])).
% 9.24/6.71 tff(28361,plain,
% 9.24/6.71 (~xuntil6(s105)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10369, 28360])).
% 9.24/6.71 tff(28362,plain,
% 9.24/6.71 (~always3(s105)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[8990, 28357])).
% 9.24/6.71 tff(28363,plain,
% 9.24/6.71 (~node4(s105)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10356, 22, 28362])).
% 9.24/6.71 tff(28364,plain,
% 9.24/6.71 (xuntil6(s105) | (~until5(s105))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10363, 36, 28363])).
% 9.24/6.71 tff(28365,plain,
% 9.24/6.71 (~until5(s105)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28364, 28361])).
% 9.24/6.71 tff(28366,plain,
% 9.24/6.71 (~always3(s104)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9002, 28362])).
% 9.24/6.71 tff(28367,plain,
% 9.24/6.71 (~always3(s103)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9014, 28366])).
% 9.24/6.71 tff(28368,plain,
% 9.24/6.71 (~always3(s102)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9026, 28367])).
% 9.24/6.71 tff(28369,plain,
% 9.24/6.71 (~always3(s101)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9038, 28368])).
% 9.24/6.71 tff(28370,plain,
% 9.24/6.71 (~always3(s100)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9050, 28369])).
% 9.24/6.71 tff(28371,plain,
% 9.24/6.71 (~always3(s99)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9062, 28370])).
% 9.24/6.71 tff(28372,plain,
% 9.24/6.71 (~always3(s98)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9074, 28371])).
% 9.24/6.71 tff(28373,plain,
% 9.24/6.71 (~always3(s97)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9086, 28372])).
% 9.24/6.71 tff(28374,plain,
% 9.24/6.71 (~always3(s96)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9098, 28373])).
% 9.24/6.71 tff(28375,plain,
% 9.24/6.71 (~always3(s95)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9110, 28374])).
% 9.24/6.71 tff(28376,plain,
% 9.24/6.71 (~always3(s94)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9122, 28375])).
% 9.24/6.71 tff(28377,plain,
% 9.24/6.71 (~always3(s93)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9134, 28376])).
% 9.24/6.71 tff(28378,plain,
% 9.24/6.71 (~always3(s92)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9146, 28377])).
% 9.24/6.71 tff(28379,plain,
% 9.24/6.71 (~always3(s91)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9158, 28378])).
% 9.24/6.71 tff(28380,plain,
% 9.24/6.71 (~always3(s90)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9170, 28379])).
% 9.24/6.71 tff(28381,plain,
% 9.24/6.71 (~always3(s89)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9182, 28380])).
% 9.24/6.71 tff(28382,plain,
% 9.24/6.71 (~always3(s88)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9194, 28381])).
% 9.24/6.71 tff(28383,plain,
% 9.24/6.71 (~always3(s87)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9206, 28382])).
% 9.24/6.71 tff(28384,plain,
% 9.24/6.71 (~always3(s86)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9218, 28383])).
% 9.24/6.71 tff(28385,plain,
% 9.24/6.71 (~always3(s85)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9230, 28384])).
% 9.24/6.71 tff(28386,plain,
% 9.24/6.71 (~always3(s84)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9242, 28385])).
% 9.24/6.71 tff(28387,plain,
% 9.24/6.71 (~always3(s83)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9254, 28386])).
% 9.24/6.71 tff(28388,plain,
% 9.24/6.71 (~always3(s82)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9266, 28387])).
% 9.24/6.71 tff(28389,plain,
% 9.24/6.71 (~always3(s81)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9278, 28388])).
% 9.24/6.71 tff(28390,plain,
% 9.24/6.71 (~always3(s80)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9290, 28389])).
% 9.24/6.71 tff(28391,plain,
% 9.24/6.71 (~always3(s79)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9302, 28390])).
% 9.24/6.71 tff(28392,plain,
% 9.24/6.71 (~always3(s78)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9314, 28391])).
% 9.24/6.71 tff(28393,plain,
% 9.24/6.71 (~always3(s77)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9326, 28392])).
% 9.24/6.71 tff(28394,plain,
% 9.24/6.71 (~always3(s76)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9338, 28393])).
% 9.24/6.71 tff(28395,plain,
% 9.24/6.71 (~always3(s75)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9350, 28394])).
% 9.24/6.71 tff(28396,plain,
% 9.24/6.71 (~always3(s74)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9362, 28395])).
% 9.24/6.71 tff(28397,plain,
% 9.24/6.71 (~always3(s73)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9374, 28396])).
% 9.24/6.71 tff(28398,plain,
% 9.24/6.71 (~always3(s72)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9386, 28397])).
% 9.24/6.71 tff(28399,plain,
% 9.24/6.71 (~always3(s71)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9398, 28398])).
% 9.24/6.71 tff(28400,plain,
% 9.24/6.71 (~always3(s70)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9410, 28399])).
% 9.24/6.71 tff(28401,plain,
% 9.24/6.71 (~always3(s69)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9422, 28400])).
% 9.24/6.71 tff(28402,plain,
% 9.24/6.71 (~always3(s68)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9434, 28401])).
% 9.24/6.71 tff(28403,plain,
% 9.24/6.71 (~always3(s67)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9446, 28402])).
% 9.24/6.71 tff(28404,plain,
% 9.24/6.71 (~always3(s66)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9458, 28403])).
% 9.24/6.71 tff(28405,plain,
% 9.24/6.71 (~always3(s65)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9470, 28404])).
% 9.24/6.71 tff(28406,plain,
% 9.24/6.71 (~always3(s64)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9482, 28405])).
% 9.24/6.71 tff(28407,plain,
% 9.24/6.71 (~always3(s63)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9494, 28406])).
% 9.24/6.71 tff(28408,plain,
% 9.24/6.71 (~always3(s62)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9506, 28407])).
% 9.24/6.71 tff(28409,plain,
% 9.24/6.71 (~always3(s61)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9518, 28408])).
% 9.24/6.71 tff(28410,plain,
% 9.24/6.71 (~always3(s60)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9530, 28409])).
% 9.24/6.71 tff(28411,plain,
% 9.24/6.71 (~always3(s59)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9542, 28410])).
% 9.24/6.71 tff(28412,plain,
% 9.24/6.71 (~always3(s58)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9558, 28411])).
% 9.24/6.71 tff(28413,plain,
% 9.24/6.71 (~always3(s57)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[5004, 28412])).
% 9.24/6.71 tff(28414,plain,
% 9.24/6.71 (~always3(s56)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4870, 28413])).
% 9.24/6.71 tff(28415,plain,
% 9.24/6.71 (~always3(s55)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4750, 28414])).
% 9.24/6.71 tff(28416,plain,
% 9.24/6.71 (~always3(s54)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4602, 28415])).
% 9.24/6.71 tff(28417,plain,
% 9.24/6.71 (~always3(s53)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4647, 28416])).
% 9.24/6.71 tff(28418,plain,
% 9.24/6.71 (~always3(s52)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4521, 28417])).
% 9.24/6.71 tff(28419,plain,
% 9.24/6.71 (~always3(s51)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4412, 28418])).
% 9.24/6.71 tff(28420,plain,
% 9.24/6.71 (~always3(s50)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4363, 28419])).
% 9.24/6.71 tff(28421,plain,
% 9.24/6.71 (~always3(s49)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3944, 28420])).
% 9.24/6.71 tff(28422,plain,
% 9.24/6.71 (~always3(s48)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3754, 28421])).
% 9.24/6.71 tff(28423,plain,
% 9.24/6.71 (~always3(s47)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3799, 28422])).
% 9.24/6.71 tff(28424,plain,
% 9.24/6.71 (~always3(s46)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3828, 28423])).
% 9.24/6.71 tff(28425,plain,
% 9.24/6.71 (~always3(s45)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3857, 28424])).
% 9.24/6.71 tff(28426,plain,
% 9.24/6.71 (~always3(s44)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3886, 28425])).
% 9.24/6.71 tff(28427,plain,
% 9.24/6.71 (~always3(s43)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3705, 28426])).
% 9.24/6.71 tff(28428,plain,
% 9.24/6.71 (~always3(s42)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3618, 28427])).
% 9.24/6.71 tff(28429,plain,
% 9.24/6.71 (~always3(s41)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3559, 28428])).
% 9.24/6.71 tff(28430,plain,
% 9.24/6.71 (~always3(s40)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3474, 28429])).
% 9.24/6.71 tff(28431,plain,
% 9.24/6.71 (~always3(s39)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3424, 28430])).
% 9.24/6.71 tff(28432,plain,
% 9.24/6.71 (~node4(s39)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3428, 22, 28431])).
% 9.24/6.71 tff(28433,plain,
% 9.24/6.71 (~always3(s38)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3233, 28431])).
% 9.24/6.71 tff(28434,plain,
% 9.24/6.71 (~node4(s38)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3219, 22, 28433])).
% 9.24/6.71 tff(28435,plain,
% 9.24/6.71 (~always3(s37)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[2932, 28433])).
% 9.24/6.71 tff(28436,plain,
% 9.24/6.71 (xuntil6(s37)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3202, 28435])).
% 9.24/6.71 tff(28437,plain,
% 9.24/6.71 (until5(s38)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3207, 28436])).
% 9.24/6.71 tff(28438,plain,
% 9.24/6.71 (xuntil6(s38) | node4(s38)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3214, 36, 28437])).
% 9.24/6.71 tff(28439,plain,
% 9.24/6.71 (xuntil6(s38)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28438, 28434])).
% 9.24/6.71 tff(28440,plain,
% 9.24/6.71 (until5(s39)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3410, 28439])).
% 9.24/6.71 tff(28441,plain,
% 9.24/6.71 (xuntil6(s39)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3460, 36, 28440, 28432])).
% 9.24/6.71 tff(28442,plain,
% 9.24/6.71 (until5(s40)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3445, 28441])).
% 9.24/6.71 tff(28443,plain,
% 9.24/6.71 (~node4(s40)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3432, 22, 28430])).
% 9.24/6.71 tff(28444,plain,
% 9.24/6.71 (xuntil6(s40) | (~until5(s40))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3439, 36, 28443])).
% 9.24/6.71 tff(28445,plain,
% 9.24/6.71 (xuntil6(s40)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28444, 28442])).
% 9.24/6.71 tff(28446,plain,
% 9.24/6.71 (until5(s41)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3545, 28445])).
% 9.24/6.71 tff(28447,plain,
% 9.24/6.71 (~node4(s41)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3563, 22, 28429])).
% 9.24/6.71 tff(28448,plain,
% 9.24/6.71 (xuntil6(s41) | (~until5(s41))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3587, 36, 28447])).
% 9.24/6.71 tff(28449,plain,
% 9.24/6.71 (xuntil6(s41)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28448, 28446])).
% 9.24/6.71 tff(28450,plain,
% 9.24/6.71 (until5(s42)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3580, 28449])).
% 9.24/6.71 tff(28451,plain,
% 9.24/6.71 (~node4(s42)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3567, 22, 28428])).
% 9.24/6.71 tff(28452,plain,
% 9.24/6.71 (xuntil6(s42) | (~until5(s42))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3574, 36, 28451])).
% 9.24/6.71 tff(28453,plain,
% 9.24/6.71 (xuntil6(s42)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28452, 28450])).
% 9.24/6.71 tff(28454,plain,
% 9.24/6.71 (until5(s43)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3684, 28453])).
% 9.24/6.71 tff(28455,plain,
% 9.24/6.71 (~node4(s43)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3693, 22, 28427])).
% 9.24/6.71 tff(28456,plain,
% 9.24/6.71 (xuntil6(s43) | (~until5(s43))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3734, 36, 28455])).
% 9.24/6.71 tff(28457,plain,
% 9.24/6.71 (xuntil6(s43)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28456, 28454])).
% 9.24/6.71 tff(28458,plain,
% 9.24/6.71 (until5(s44)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3740, 28457])).
% 9.24/6.71 tff(28459,plain,
% 9.24/6.71 (~node4(s44)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3890, 22, 28426])).
% 9.24/6.71 tff(28460,plain,
% 9.24/6.71 (xuntil6(s44) | (~until5(s44))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3897, 36, 28459])).
% 9.24/6.71 tff(28461,plain,
% 9.24/6.71 (xuntil6(s44)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28460, 28458])).
% 9.24/6.71 tff(28462,plain,
% 9.24/6.71 (until5(s45)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3877, 28461])).
% 9.24/6.71 tff(28463,plain,
% 9.24/6.71 (~node4(s45)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3861, 22, 28425])).
% 9.24/6.71 tff(28464,plain,
% 9.24/6.71 (xuntil6(s45) | (~until5(s45))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3868, 36, 28463])).
% 9.24/6.71 tff(28465,plain,
% 9.24/6.71 (xuntil6(s45)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28464, 28462])).
% 9.24/6.71 tff(28466,plain,
% 9.24/6.71 (until5(s46)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3848, 28465])).
% 9.24/6.71 tff(28467,plain,
% 9.24/6.71 (~node4(s46)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3832, 22, 28424])).
% 9.24/6.71 tff(28468,plain,
% 9.24/6.71 (xuntil6(s46) | (~until5(s46))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3839, 36, 28467])).
% 9.24/6.71 tff(28469,plain,
% 9.24/6.71 (xuntil6(s46)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28468, 28466])).
% 9.24/6.71 tff(28470,plain,
% 9.24/6.71 (until5(s47)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3819, 28469])).
% 9.24/6.71 tff(28471,plain,
% 9.24/6.71 (~node4(s47)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3803, 22, 28423])).
% 9.24/6.71 tff(28472,plain,
% 9.24/6.71 (xuntil6(s47) | (~until5(s47))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3810, 36, 28471])).
% 9.24/6.71 tff(28473,plain,
% 9.24/6.71 (xuntil6(s47)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28472, 28470])).
% 9.24/6.71 tff(28474,plain,
% 9.24/6.71 (until5(s48)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3790, 28473])).
% 9.24/6.71 tff(28475,plain,
% 9.24/6.71 (~node4(s48)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3758, 22, 28422])).
% 9.24/6.71 tff(28476,plain,
% 9.24/6.71 (xuntil6(s48) | (~until5(s48))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3782, 36, 28475])).
% 9.24/6.71 tff(28477,plain,
% 9.24/6.71 (xuntil6(s48)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28476, 28474])).
% 9.24/6.71 tff(28478,plain,
% 9.24/6.71 (until5(s49)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3775, 28477])).
% 9.24/6.71 tff(28479,plain,
% 9.24/6.71 (~node4(s49)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3762, 22, 28421])).
% 9.24/6.71 tff(28480,plain,
% 9.24/6.71 (xuntil6(s49) | (~until5(s49))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[3769, 36, 28479])).
% 9.24/6.71 tff(28481,plain,
% 9.24/6.71 (xuntil6(s49)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28480, 28478])).
% 9.24/6.71 tff(28482,plain,
% 9.24/6.71 (until5(s50)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4342, 28481])).
% 9.24/6.71 tff(28483,plain,
% 9.24/6.71 (~node4(s50)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4351, 22, 28420])).
% 9.24/6.71 tff(28484,plain,
% 9.24/6.71 (xuntil6(s50) | (~until5(s50))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4392, 36, 28483])).
% 9.24/6.71 tff(28485,plain,
% 9.24/6.71 (xuntil6(s50)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28484, 28482])).
% 9.24/6.71 tff(28486,plain,
% 9.24/6.71 (until5(s51)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4398, 28485])).
% 9.24/6.71 tff(28487,plain,
% 9.24/6.71 (~node4(s51)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4416, 22, 28419])).
% 9.24/6.71 tff(28488,plain,
% 9.24/6.71 (xuntil6(s51) | (~until5(s51))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4440, 36, 28487])).
% 9.24/6.71 tff(28489,plain,
% 9.24/6.71 (xuntil6(s51)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28488, 28486])).
% 9.24/6.71 tff(28490,plain,
% 9.24/6.71 (until5(s52)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4433, 28489])).
% 9.24/6.71 tff(28491,plain,
% 9.24/6.71 (~node4(s52)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4420, 22, 28418])).
% 9.24/6.71 tff(28492,plain,
% 9.24/6.71 (xuntil6(s52) | (~until5(s52))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4427, 36, 28491])).
% 9.24/6.71 tff(28493,plain,
% 9.24/6.71 (xuntil6(s52)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28492, 28490])).
% 9.24/6.71 tff(28494,plain,
% 9.24/6.71 (until5(s53)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4587, 28493])).
% 9.24/6.71 tff(28495,plain,
% 9.24/6.71 (~node4(s53)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4651, 22, 28417])).
% 9.24/6.71 tff(28496,plain,
% 9.24/6.71 (xuntil6(s53) | (~until5(s53))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4658, 36, 28495])).
% 9.24/6.71 tff(28497,plain,
% 9.24/6.71 (xuntil6(s53)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28496, 28494])).
% 9.24/6.71 tff(28498,plain,
% 9.24/6.71 (until5(s54)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4638, 28497])).
% 9.24/6.71 tff(28499,plain,
% 9.24/6.71 (~node4(s54)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4606, 22, 28416])).
% 9.24/6.71 tff(28500,plain,
% 9.24/6.71 (xuntil6(s54) | (~until5(s54))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4630, 36, 28499])).
% 9.24/6.71 tff(28501,plain,
% 9.24/6.71 (xuntil6(s54)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28500, 28498])).
% 9.24/6.71 tff(28502,plain,
% 9.24/6.71 (until5(s55)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4623, 28501])).
% 9.24/6.71 tff(28503,plain,
% 9.24/6.71 (~node4(s55)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4610, 22, 28415])).
% 9.24/6.71 tff(28504,plain,
% 9.24/6.71 (xuntil6(s55) | (~until5(s55))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4617, 36, 28503])).
% 9.24/6.71 tff(28505,plain,
% 9.24/6.71 (xuntil6(s55)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28504, 28502])).
% 9.24/6.71 tff(28506,plain,
% 9.24/6.71 (until5(s56)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4856, 28505])).
% 9.24/6.71 tff(28507,plain,
% 9.24/6.71 (~node4(s56)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4874, 22, 28414])).
% 9.24/6.71 tff(28508,plain,
% 9.24/6.71 (xuntil6(s56) | (~until5(s56))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4898, 36, 28507])).
% 9.24/6.71 tff(28509,plain,
% 9.24/6.71 (xuntil6(s56)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28508, 28506])).
% 9.24/6.71 tff(28510,plain,
% 9.24/6.71 (until5(s57)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4891, 28509])).
% 9.24/6.71 tff(28511,plain,
% 9.24/6.71 (~node4(s57)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4878, 22, 28413])).
% 9.24/6.71 tff(28512,plain,
% 9.24/6.71 (xuntil6(s57) | (~until5(s57))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[4885, 36, 28511])).
% 9.24/6.71 tff(28513,plain,
% 9.24/6.71 (xuntil6(s57)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28512, 28510])).
% 9.24/6.71 tff(28514,plain,
% 9.24/6.71 (until5(s58)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[5070, 28513])).
% 9.24/6.71 tff(28515,plain,
% 9.24/6.71 (~node4(s58)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9562, 22, 28412])).
% 9.24/6.71 tff(28516,plain,
% 9.24/6.71 (xuntil6(s58) | (~until5(s58))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9569, 36, 28515])).
% 9.24/6.71 tff(28517,plain,
% 9.24/6.71 (xuntil6(s58)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28516, 28514])).
% 9.24/6.71 tff(28518,plain,
% 9.24/6.71 (until5(s59)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9575, 28517])).
% 9.24/6.71 tff(28519,plain,
% 9.24/6.71 (~node4(s59)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9546, 22, 28411])).
% 9.24/6.71 tff(28520,plain,
% 9.24/6.71 (xuntil6(s59) | (~until5(s59))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9582, 36, 28519])).
% 9.24/6.71 tff(28521,plain,
% 9.24/6.71 (xuntil6(s59)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28520, 28518])).
% 9.24/6.71 tff(28522,plain,
% 9.24/6.71 (until5(s60)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9587, 28521])).
% 9.24/6.71 tff(28523,plain,
% 9.24/6.71 (~node4(s60)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9591, 22, 28410])).
% 9.24/6.71 tff(28524,plain,
% 9.24/6.71 (xuntil6(s60) | (~until5(s60))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9598, 36, 28523])).
% 9.24/6.71 tff(28525,plain,
% 9.24/6.71 (xuntil6(s60)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28524, 28522])).
% 9.24/6.71 tff(28526,plain,
% 9.24/6.71 (until5(s61)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9604, 28525])).
% 9.24/6.71 tff(28527,plain,
% 9.24/6.71 (~node4(s61)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9608, 22, 28409])).
% 9.24/6.71 tff(28528,plain,
% 9.24/6.71 (xuntil6(s61) | (~until5(s61))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9615, 36, 28527])).
% 9.24/6.71 tff(28529,plain,
% 9.24/6.71 (xuntil6(s61)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28528, 28526])).
% 9.24/6.71 tff(28530,plain,
% 9.24/6.71 (until5(s62)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9621, 28529])).
% 9.24/6.71 tff(28531,plain,
% 9.24/6.71 (~node4(s62)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9625, 22, 28408])).
% 9.24/6.71 tff(28532,plain,
% 9.24/6.71 (xuntil6(s62) | (~until5(s62))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9632, 36, 28531])).
% 9.24/6.71 tff(28533,plain,
% 9.24/6.71 (xuntil6(s62)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28532, 28530])).
% 9.24/6.71 tff(28534,plain,
% 9.24/6.71 (until5(s63)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9638, 28533])).
% 9.24/6.71 tff(28535,plain,
% 9.24/6.71 (~node4(s63)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9642, 22, 28407])).
% 9.24/6.71 tff(28536,plain,
% 9.24/6.71 (xuntil6(s63) | (~until5(s63))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9649, 36, 28535])).
% 9.24/6.71 tff(28537,plain,
% 9.24/6.71 (xuntil6(s63)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28536, 28534])).
% 9.24/6.71 tff(28538,plain,
% 9.24/6.71 (until5(s64)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9655, 28537])).
% 9.24/6.71 tff(28539,plain,
% 9.24/6.71 (~node4(s64)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9659, 22, 28406])).
% 9.24/6.71 tff(28540,plain,
% 9.24/6.71 (xuntil6(s64) | (~until5(s64))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9666, 36, 28539])).
% 9.24/6.71 tff(28541,plain,
% 9.24/6.71 (xuntil6(s64)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28540, 28538])).
% 9.24/6.71 tff(28542,plain,
% 9.24/6.71 (until5(s65)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9672, 28541])).
% 9.24/6.71 tff(28543,plain,
% 9.24/6.71 (~node4(s65)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9676, 22, 28405])).
% 9.24/6.71 tff(28544,plain,
% 9.24/6.71 (xuntil6(s65) | (~until5(s65))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9683, 36, 28543])).
% 9.24/6.71 tff(28545,plain,
% 9.24/6.71 (xuntil6(s65)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28544, 28542])).
% 9.24/6.71 tff(28546,plain,
% 9.24/6.71 (until5(s66)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9689, 28545])).
% 9.24/6.71 tff(28547,plain,
% 9.24/6.71 (~node4(s66)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9693, 22, 28404])).
% 9.24/6.71 tff(28548,plain,
% 9.24/6.71 (xuntil6(s66) | (~until5(s66))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9700, 36, 28547])).
% 9.24/6.71 tff(28549,plain,
% 9.24/6.71 (xuntil6(s66)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28548, 28546])).
% 9.24/6.71 tff(28550,plain,
% 9.24/6.71 (until5(s67)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9706, 28549])).
% 9.24/6.71 tff(28551,plain,
% 9.24/6.71 (~node4(s67)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9710, 22, 28403])).
% 9.24/6.71 tff(28552,plain,
% 9.24/6.71 (xuntil6(s67) | (~until5(s67))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9717, 36, 28551])).
% 9.24/6.71 tff(28553,plain,
% 9.24/6.71 (xuntil6(s67)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28552, 28550])).
% 9.24/6.71 tff(28554,plain,
% 9.24/6.71 (until5(s68)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9723, 28553])).
% 9.24/6.71 tff(28555,plain,
% 9.24/6.71 (~node4(s68)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9727, 22, 28402])).
% 9.24/6.71 tff(28556,plain,
% 9.24/6.71 (xuntil6(s68) | (~until5(s68))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9734, 36, 28555])).
% 9.24/6.71 tff(28557,plain,
% 9.24/6.71 (xuntil6(s68)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28556, 28554])).
% 9.24/6.71 tff(28558,plain,
% 9.24/6.71 (until5(s69)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9740, 28557])).
% 9.24/6.71 tff(28559,plain,
% 9.24/6.71 (~node4(s69)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9744, 22, 28401])).
% 9.24/6.71 tff(28560,plain,
% 9.24/6.71 (xuntil6(s69) | (~until5(s69))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9751, 36, 28559])).
% 9.24/6.71 tff(28561,plain,
% 9.24/6.71 (xuntil6(s69)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28560, 28558])).
% 9.24/6.71 tff(28562,plain,
% 9.24/6.71 (until5(s70)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9757, 28561])).
% 9.24/6.71 tff(28563,plain,
% 9.24/6.71 (~node4(s70)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9761, 22, 28400])).
% 9.24/6.71 tff(28564,plain,
% 9.24/6.71 (xuntil6(s70) | (~until5(s70))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9768, 36, 28563])).
% 9.24/6.71 tff(28565,plain,
% 9.24/6.71 (xuntil6(s70)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28564, 28562])).
% 9.24/6.71 tff(28566,plain,
% 9.24/6.71 (until5(s71)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9774, 28565])).
% 9.24/6.71 tff(28567,plain,
% 9.24/6.71 (~node4(s71)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9778, 22, 28399])).
% 9.24/6.71 tff(28568,plain,
% 9.24/6.71 (xuntil6(s71) | (~until5(s71))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9785, 36, 28567])).
% 9.24/6.71 tff(28569,plain,
% 9.24/6.71 (xuntil6(s71)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28568, 28566])).
% 9.24/6.71 tff(28570,plain,
% 9.24/6.71 (until5(s72)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9791, 28569])).
% 9.24/6.71 tff(28571,plain,
% 9.24/6.71 (~node4(s72)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9795, 22, 28398])).
% 9.24/6.71 tff(28572,plain,
% 9.24/6.71 (xuntil6(s72) | (~until5(s72))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9802, 36, 28571])).
% 9.24/6.71 tff(28573,plain,
% 9.24/6.71 (xuntil6(s72)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28572, 28570])).
% 9.24/6.71 tff(28574,plain,
% 9.24/6.71 (until5(s73)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9808, 28573])).
% 9.24/6.71 tff(28575,plain,
% 9.24/6.71 (~node4(s73)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9812, 22, 28397])).
% 9.24/6.71 tff(28576,plain,
% 9.24/6.71 (xuntil6(s73) | (~until5(s73))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9819, 36, 28575])).
% 9.24/6.71 tff(28577,plain,
% 9.24/6.71 (xuntil6(s73)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28576, 28574])).
% 9.24/6.71 tff(28578,plain,
% 9.24/6.71 (until5(s74)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9825, 28577])).
% 9.24/6.71 tff(28579,plain,
% 9.24/6.71 (~node4(s74)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9829, 22, 28396])).
% 9.24/6.71 tff(28580,plain,
% 9.24/6.71 (xuntil6(s74) | (~until5(s74))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9836, 36, 28579])).
% 9.24/6.71 tff(28581,plain,
% 9.24/6.71 (xuntil6(s74)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28580, 28578])).
% 9.24/6.71 tff(28582,plain,
% 9.24/6.71 (until5(s75)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9842, 28581])).
% 9.24/6.71 tff(28583,plain,
% 9.24/6.71 (~node4(s75)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9846, 22, 28395])).
% 9.24/6.71 tff(28584,plain,
% 9.24/6.71 (xuntil6(s75) | (~until5(s75))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9853, 36, 28583])).
% 9.24/6.71 tff(28585,plain,
% 9.24/6.71 (xuntil6(s75)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28584, 28582])).
% 9.24/6.71 tff(28586,plain,
% 9.24/6.71 (until5(s76)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9859, 28585])).
% 9.24/6.71 tff(28587,plain,
% 9.24/6.71 (~node4(s76)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9863, 22, 28394])).
% 9.24/6.71 tff(28588,plain,
% 9.24/6.71 (xuntil6(s76) | (~until5(s76))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9870, 36, 28587])).
% 9.24/6.71 tff(28589,plain,
% 9.24/6.71 (xuntil6(s76)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28588, 28586])).
% 9.24/6.71 tff(28590,plain,
% 9.24/6.71 (until5(s77)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9876, 28589])).
% 9.24/6.71 tff(28591,plain,
% 9.24/6.71 (~node4(s77)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9880, 22, 28393])).
% 9.24/6.71 tff(28592,plain,
% 9.24/6.71 (xuntil6(s77) | (~until5(s77))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9887, 36, 28591])).
% 9.24/6.71 tff(28593,plain,
% 9.24/6.71 (xuntil6(s77)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28592, 28590])).
% 9.24/6.71 tff(28594,plain,
% 9.24/6.71 (until5(s78)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9893, 28593])).
% 9.24/6.71 tff(28595,plain,
% 9.24/6.71 (~node4(s78)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9897, 22, 28392])).
% 9.24/6.71 tff(28596,plain,
% 9.24/6.71 (xuntil6(s78) | (~until5(s78))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9904, 36, 28595])).
% 9.24/6.71 tff(28597,plain,
% 9.24/6.71 (xuntil6(s78)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28596, 28594])).
% 9.24/6.71 tff(28598,plain,
% 9.24/6.71 (until5(s79)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9910, 28597])).
% 9.24/6.71 tff(28599,plain,
% 9.24/6.71 (~node4(s79)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9914, 22, 28391])).
% 9.24/6.71 tff(28600,plain,
% 9.24/6.71 (xuntil6(s79) | (~until5(s79))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9921, 36, 28599])).
% 9.24/6.71 tff(28601,plain,
% 9.24/6.71 (xuntil6(s79)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28600, 28598])).
% 9.24/6.71 tff(28602,plain,
% 9.24/6.71 (until5(s80)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9927, 28601])).
% 9.24/6.71 tff(28603,plain,
% 9.24/6.71 (~node4(s80)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9931, 22, 28390])).
% 9.24/6.71 tff(28604,plain,
% 9.24/6.71 (xuntil6(s80) | (~until5(s80))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9938, 36, 28603])).
% 9.24/6.71 tff(28605,plain,
% 9.24/6.71 (xuntil6(s80)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28604, 28602])).
% 9.24/6.71 tff(28606,plain,
% 9.24/6.71 (until5(s81)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9944, 28605])).
% 9.24/6.71 tff(28607,plain,
% 9.24/6.71 (~node4(s81)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9948, 22, 28389])).
% 9.24/6.71 tff(28608,plain,
% 9.24/6.71 (xuntil6(s81) | (~until5(s81))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9955, 36, 28607])).
% 9.24/6.71 tff(28609,plain,
% 9.24/6.71 (xuntil6(s81)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28608, 28606])).
% 9.24/6.71 tff(28610,plain,
% 9.24/6.71 (until5(s82)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9961, 28609])).
% 9.24/6.71 tff(28611,plain,
% 9.24/6.71 (~node4(s82)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9965, 22, 28388])).
% 9.24/6.71 tff(28612,plain,
% 9.24/6.71 (xuntil6(s82) | (~until5(s82))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9972, 36, 28611])).
% 9.24/6.71 tff(28613,plain,
% 9.24/6.71 (xuntil6(s82)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28612, 28610])).
% 9.24/6.71 tff(28614,plain,
% 9.24/6.71 (until5(s83)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9978, 28613])).
% 9.24/6.71 tff(28615,plain,
% 9.24/6.71 (~node4(s83)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9982, 22, 28387])).
% 9.24/6.71 tff(28616,plain,
% 9.24/6.71 (xuntil6(s83) | (~until5(s83))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9989, 36, 28615])).
% 9.24/6.71 tff(28617,plain,
% 9.24/6.71 (xuntil6(s83)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28616, 28614])).
% 9.24/6.71 tff(28618,plain,
% 9.24/6.71 (until5(s84)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9995, 28617])).
% 9.24/6.71 tff(28619,plain,
% 9.24/6.71 (~node4(s84)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[9999, 22, 28386])).
% 9.24/6.71 tff(28620,plain,
% 9.24/6.71 (xuntil6(s84) | (~until5(s84))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10006, 36, 28619])).
% 9.24/6.71 tff(28621,plain,
% 9.24/6.71 (xuntil6(s84)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28620, 28618])).
% 9.24/6.71 tff(28622,plain,
% 9.24/6.71 (until5(s85)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10012, 28621])).
% 9.24/6.71 tff(28623,plain,
% 9.24/6.71 (~node4(s85)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10016, 22, 28385])).
% 9.24/6.71 tff(28624,plain,
% 9.24/6.71 (xuntil6(s85) | (~until5(s85))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10023, 36, 28623])).
% 9.24/6.71 tff(28625,plain,
% 9.24/6.71 (xuntil6(s85)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28624, 28622])).
% 9.24/6.71 tff(28626,plain,
% 9.24/6.71 (until5(s86)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10029, 28625])).
% 9.24/6.71 tff(28627,plain,
% 9.24/6.71 (~node4(s86)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10033, 22, 28384])).
% 9.24/6.71 tff(28628,plain,
% 9.24/6.71 (xuntil6(s86) | (~until5(s86))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10040, 36, 28627])).
% 9.24/6.71 tff(28629,plain,
% 9.24/6.71 (xuntil6(s86)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28628, 28626])).
% 9.24/6.71 tff(28630,plain,
% 9.24/6.71 (until5(s87)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10046, 28629])).
% 9.24/6.71 tff(28631,plain,
% 9.24/6.71 (~node4(s87)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10050, 22, 28383])).
% 9.24/6.71 tff(28632,plain,
% 9.24/6.71 (xuntil6(s87) | (~until5(s87))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10057, 36, 28631])).
% 9.24/6.71 tff(28633,plain,
% 9.24/6.71 (xuntil6(s87)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28632, 28630])).
% 9.24/6.71 tff(28634,plain,
% 9.24/6.71 (until5(s88)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10063, 28633])).
% 9.24/6.71 tff(28635,plain,
% 9.24/6.71 (~node4(s88)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10067, 22, 28382])).
% 9.24/6.71 tff(28636,plain,
% 9.24/6.71 (xuntil6(s88) | (~until5(s88))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10074, 36, 28635])).
% 9.24/6.71 tff(28637,plain,
% 9.24/6.71 (xuntil6(s88)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28636, 28634])).
% 9.24/6.71 tff(28638,plain,
% 9.24/6.71 (until5(s89)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10080, 28637])).
% 9.24/6.71 tff(28639,plain,
% 9.24/6.71 (~node4(s89)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10084, 22, 28381])).
% 9.24/6.71 tff(28640,plain,
% 9.24/6.71 (xuntil6(s89) | (~until5(s89))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10091, 36, 28639])).
% 9.24/6.71 tff(28641,plain,
% 9.24/6.71 (xuntil6(s89)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28640, 28638])).
% 9.24/6.71 tff(28642,plain,
% 9.24/6.71 (until5(s90)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10097, 28641])).
% 9.24/6.71 tff(28643,plain,
% 9.24/6.71 (~node4(s90)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10101, 22, 28380])).
% 9.24/6.71 tff(28644,plain,
% 9.24/6.71 (xuntil6(s90) | (~until5(s90))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10108, 36, 28643])).
% 9.24/6.71 tff(28645,plain,
% 9.24/6.71 (xuntil6(s90)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28644, 28642])).
% 9.24/6.71 tff(28646,plain,
% 9.24/6.71 (until5(s91)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10114, 28645])).
% 9.24/6.71 tff(28647,plain,
% 9.24/6.71 (~node4(s91)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10118, 22, 28379])).
% 9.24/6.71 tff(28648,plain,
% 9.24/6.71 (xuntil6(s91) | (~until5(s91))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10125, 36, 28647])).
% 9.24/6.71 tff(28649,plain,
% 9.24/6.71 (xuntil6(s91)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28648, 28646])).
% 9.24/6.71 tff(28650,plain,
% 9.24/6.71 (until5(s92)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10131, 28649])).
% 9.24/6.71 tff(28651,plain,
% 9.24/6.71 (~node4(s92)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10135, 22, 28378])).
% 9.24/6.71 tff(28652,plain,
% 9.24/6.71 (xuntil6(s92) | (~until5(s92))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10142, 36, 28651])).
% 9.24/6.71 tff(28653,plain,
% 9.24/6.71 (xuntil6(s92)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28652, 28650])).
% 9.24/6.71 tff(28654,plain,
% 9.24/6.71 (until5(s93)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10148, 28653])).
% 9.24/6.71 tff(28655,plain,
% 9.24/6.71 (~node4(s93)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10152, 22, 28377])).
% 9.24/6.71 tff(28656,plain,
% 9.24/6.71 (xuntil6(s93) | (~until5(s93))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10159, 36, 28655])).
% 9.24/6.71 tff(28657,plain,
% 9.24/6.71 (xuntil6(s93)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28656, 28654])).
% 9.24/6.71 tff(28658,plain,
% 9.24/6.71 (until5(s94)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10165, 28657])).
% 9.24/6.71 tff(28659,plain,
% 9.24/6.71 (~node4(s94)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10169, 22, 28376])).
% 9.24/6.71 tff(28660,plain,
% 9.24/6.71 (xuntil6(s94) | (~until5(s94))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10176, 36, 28659])).
% 9.24/6.71 tff(28661,plain,
% 9.24/6.71 (xuntil6(s94)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28660, 28658])).
% 9.24/6.71 tff(28662,plain,
% 9.24/6.71 (until5(s95)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10182, 28661])).
% 9.24/6.71 tff(28663,plain,
% 9.24/6.71 (~node4(s95)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10186, 22, 28375])).
% 9.24/6.71 tff(28664,plain,
% 9.24/6.71 (xuntil6(s95) | (~until5(s95))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10193, 36, 28663])).
% 9.24/6.71 tff(28665,plain,
% 9.24/6.71 (xuntil6(s95)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28664, 28662])).
% 9.24/6.71 tff(28666,plain,
% 9.24/6.71 (until5(s96)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10199, 28665])).
% 9.24/6.71 tff(28667,plain,
% 9.24/6.71 (~node4(s96)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10203, 22, 28374])).
% 9.24/6.71 tff(28668,plain,
% 9.24/6.71 (xuntil6(s96) | (~until5(s96))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10210, 36, 28667])).
% 9.24/6.71 tff(28669,plain,
% 9.24/6.71 (xuntil6(s96)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28668, 28666])).
% 9.24/6.71 tff(28670,plain,
% 9.24/6.71 (until5(s97)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10216, 28669])).
% 9.24/6.71 tff(28671,plain,
% 9.24/6.71 (~node4(s97)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10220, 22, 28373])).
% 9.24/6.71 tff(28672,plain,
% 9.24/6.71 (xuntil6(s97) | (~until5(s97))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10227, 36, 28671])).
% 9.24/6.71 tff(28673,plain,
% 9.24/6.71 (xuntil6(s97)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28672, 28670])).
% 9.24/6.71 tff(28674,plain,
% 9.24/6.71 (until5(s98)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10233, 28673])).
% 9.24/6.71 tff(28675,plain,
% 9.24/6.71 (~node4(s98)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10237, 22, 28372])).
% 9.24/6.71 tff(28676,plain,
% 9.24/6.71 (xuntil6(s98) | (~until5(s98))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10244, 36, 28675])).
% 9.24/6.71 tff(28677,plain,
% 9.24/6.71 (xuntil6(s98)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28676, 28674])).
% 9.24/6.71 tff(28678,plain,
% 9.24/6.71 (until5(s99)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10250, 28677])).
% 9.24/6.71 tff(28679,plain,
% 9.24/6.71 (~node4(s99)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10254, 22, 28371])).
% 9.24/6.71 tff(28680,plain,
% 9.24/6.71 (xuntil6(s99) | (~until5(s99))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10261, 36, 28679])).
% 9.24/6.71 tff(28681,plain,
% 9.24/6.71 (xuntil6(s99)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28680, 28678])).
% 9.24/6.71 tff(28682,plain,
% 9.24/6.71 (until5(s100)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10267, 28681])).
% 9.24/6.71 tff(28683,plain,
% 9.24/6.71 (~node4(s100)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10271, 22, 28370])).
% 9.24/6.71 tff(28684,plain,
% 9.24/6.71 (xuntil6(s100) | (~until5(s100))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10278, 36, 28683])).
% 9.24/6.71 tff(28685,plain,
% 9.24/6.71 (xuntil6(s100)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28684, 28682])).
% 9.24/6.71 tff(28686,plain,
% 9.24/6.71 (until5(s101)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10284, 28685])).
% 9.24/6.71 tff(28687,plain,
% 9.24/6.71 (~node4(s101)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10288, 22, 28369])).
% 9.24/6.71 tff(28688,plain,
% 9.24/6.71 (xuntil6(s101) | (~until5(s101))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10295, 36, 28687])).
% 9.24/6.71 tff(28689,plain,
% 9.24/6.71 (xuntil6(s101)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28688, 28686])).
% 9.24/6.71 tff(28690,plain,
% 9.24/6.71 (until5(s102)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10301, 28689])).
% 9.24/6.71 tff(28691,plain,
% 9.24/6.71 (~node4(s102)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10305, 22, 28368])).
% 9.24/6.71 tff(28692,plain,
% 9.24/6.71 (xuntil6(s102) | (~until5(s102))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10312, 36, 28691])).
% 9.24/6.71 tff(28693,plain,
% 9.24/6.71 (xuntil6(s102)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28692, 28690])).
% 9.24/6.71 tff(28694,plain,
% 9.24/6.71 (until5(s103)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10318, 28693])).
% 9.24/6.71 tff(28695,plain,
% 9.24/6.71 (~node4(s103)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10322, 22, 28367])).
% 9.24/6.71 tff(28696,plain,
% 9.24/6.71 (xuntil6(s103) | (~until5(s103))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10329, 36, 28695])).
% 9.24/6.71 tff(28697,plain,
% 9.24/6.71 (xuntil6(s103)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28696, 28694])).
% 9.24/6.71 tff(28698,plain,
% 9.24/6.71 (until5(s104)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10335, 28697])).
% 9.24/6.71 tff(28699,plain,
% 9.24/6.71 (~node4(s104)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10339, 22, 28366])).
% 9.24/6.71 tff(28700,plain,
% 9.24/6.71 (xuntil6(s104) | (~until5(s104))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10346, 36, 28699])).
% 9.24/6.71 tff(28701,plain,
% 9.24/6.71 (xuntil6(s104)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28700, 28698])).
% 9.24/6.71 tff(28702,plain,
% 9.24/6.71 ($false),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[10352, 28701, 28365])).
% 9.24/6.71 tff(28703,plain,(always3(s171) | xuntil6(s171)), inference(lemma,lemma(discharge,[]))).
% 9.24/6.71 tff(28704,plain,
% 9.24/6.71 (always3(s171)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28703, 28032])).
% 9.24/6.71 tff(28705,plain,
% 9.24/6.71 (always3(s172)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[7608, 28704])).
% 9.24/6.71 tff(28706,plain,
% 9.24/6.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s172)) | (~m_main_v_state(s172, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s172)) | (~m_main_v_state(s172, c_busy)))),
% 9.24/6.71 inference(rewrite,[status(thm)],[])).
% 9.24/6.71 tff(28707,plain,
% 9.24/6.71 (((~m_main_v_state(s172, c_busy)) | (~always3(s172))) <=> ((~always3(s172)) | (~m_main_v_state(s172, c_busy)))),
% 9.24/6.71 inference(rewrite,[status(thm)],[])).
% 9.24/6.71 tff(28708,plain,
% 9.24/6.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s172, c_busy)) | (~always3(s172)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s172)) | (~m_main_v_state(s172, c_busy))))),
% 9.24/6.71 inference(monotonicity,[status(thm)],[28707])).
% 9.24/6.71 tff(28709,plain,
% 9.24/6.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s172, c_busy)) | (~always3(s172)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s172)) | (~m_main_v_state(s172, c_busy)))),
% 9.24/6.71 inference(transitivity,[status(thm)],[28708, 28706])).
% 9.24/6.71 tff(28710,plain,
% 9.24/6.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s172, c_busy)) | (~always3(s172)))),
% 9.24/6.71 inference(quant_inst,[status(thm)],[])).
% 9.24/6.71 tff(28711,plain,
% 9.24/6.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s172)) | (~m_main_v_state(s172, c_busy))),
% 9.24/6.71 inference(modus_ponens,[status(thm)],[28710, 28709])).
% 9.24/6.71 tff(28712,plain,
% 9.24/6.71 (~m_main_v_state(s172, c_busy)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28711, 170, 28705])).
% 9.24/6.71 tff(28713,assumption,(until5(s171)), introduced(assumption)).
% 9.24/6.71 tff(28714,plain,
% 9.24/6.71 (xuntil6(s171) | node4(s171)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[7619, 36, 28713])).
% 9.24/6.71 tff(28715,plain,
% 9.24/6.71 (node4(s171)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28714, 28032])).
% 9.24/6.71 tff(28716,plain,
% 9.24/6.71 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s171) | (~node4(s171)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s171) | (~node4(s171)))),
% 9.24/6.71 inference(rewrite,[status(thm)],[])).
% 9.24/6.71 tff(28717,plain,
% 9.24/6.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s171) | (~node4(s171)))),
% 9.24/6.71 inference(quant_inst,[status(thm)],[])).
% 9.24/6.71 tff(28718,plain,
% 9.24/6.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s171) | (~node4(s171))),
% 9.24/6.71 inference(modus_ponens,[status(thm)],[28717, 28716])).
% 9.24/6.71 tff(28719,plain,
% 9.24/6.71 (m_main_v_request(s171)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28718, 154, 28715])).
% 9.24/6.71 tff(28720,plain,
% 9.24/6.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s171, s172)) | node2(s171, s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s171, s172)) | node2(s171, s172))),
% 9.24/6.71 inference(rewrite,[status(thm)],[])).
% 9.24/6.71 tff(28721,plain,
% 9.24/6.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s171, s172)) | node2(s171, s172))),
% 9.24/6.71 inference(quant_inst,[status(thm)],[])).
% 9.24/6.71 tff(28722,plain,
% 9.24/6.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s171, s172)) | node2(s171, s172)),
% 9.24/6.71 inference(modus_ponens,[status(thm)],[28721, 28720])).
% 9.24/6.71 tff(28723,plain,
% 9.24/6.71 (node2(s171, s172)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28722, 7, 7604])).
% 9.24/6.71 tff(28724,plain,
% 9.24/6.71 (((~![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(s171, c_ready)) | (~node2(s171, s172)) | m_main_v_state(s172, c_busy) | (~m_main_v_request(s171)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s171, c_ready)) | (~node2(s171, s172)) | m_main_v_state(s172, c_busy) | (~m_main_v_request(s171)))),
% 9.24/6.71 inference(rewrite,[status(thm)],[])).
% 9.24/6.71 tff(28725,plain,
% 9.24/6.71 ((~![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(s171, c_ready)) | (~node2(s171, s172)) | m_main_v_state(s172, c_busy) | (~m_main_v_request(s171)))),
% 9.24/6.71 inference(quant_inst,[status(thm)],[])).
% 9.24/6.71 tff(28726,plain,
% 9.24/6.71 ((~![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(s171, c_ready)) | (~node2(s171, s172)) | m_main_v_state(s172, c_busy) | (~m_main_v_request(s171))),
% 9.24/6.71 inference(modus_ponens,[status(thm)],[28725, 28724])).
% 9.24/6.71 tff(28727,plain,
% 9.24/6.71 ((~m_main_v_state(s171, c_ready)) | m_main_v_state(s172, c_busy) | (~m_main_v_request(s171))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28726, 191, 28723])).
% 9.24/6.71 tff(28728,plain,
% 9.24/6.71 (~m_main_v_state(s171, c_ready)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28727, 28719, 28712])).
% 9.24/6.71 tff(28729,plain,
% 9.24/6.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s171)) | (~m_main_v_state(s171, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s171)) | (~m_main_v_state(s171, c_busy)))),
% 9.24/6.71 inference(rewrite,[status(thm)],[])).
% 9.24/6.71 tff(28730,plain,
% 9.24/6.71 (((~m_main_v_state(s171, c_busy)) | (~always3(s171))) <=> ((~always3(s171)) | (~m_main_v_state(s171, c_busy)))),
% 9.24/6.71 inference(rewrite,[status(thm)],[])).
% 9.24/6.71 tff(28731,plain,
% 9.24/6.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s171, c_busy)) | (~always3(s171)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s171)) | (~m_main_v_state(s171, c_busy))))),
% 9.24/6.71 inference(monotonicity,[status(thm)],[28730])).
% 9.24/6.71 tff(28732,plain,
% 9.24/6.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s171, c_busy)) | (~always3(s171)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s171)) | (~m_main_v_state(s171, c_busy)))),
% 9.24/6.71 inference(transitivity,[status(thm)],[28731, 28729])).
% 9.24/6.71 tff(28733,plain,
% 9.24/6.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s171, c_busy)) | (~always3(s171)))),
% 9.24/6.71 inference(quant_inst,[status(thm)],[])).
% 9.24/6.71 tff(28734,plain,
% 9.24/6.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s171)) | (~m_main_v_state(s171, c_busy))),
% 9.24/6.71 inference(modus_ponens,[status(thm)],[28733, 28732])).
% 9.24/6.71 tff(28735,plain,
% 9.24/6.71 (~m_main_v_state(s171, c_busy)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28734, 170, 28704])).
% 9.24/6.71 tff(28736,plain,
% 9.24/6.71 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s171, c_busy) | m_main_v_state(s171, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s171, c_busy) | m_main_v_state(s171, c_ready))),
% 9.24/6.71 inference(rewrite,[status(thm)],[])).
% 9.24/6.71 tff(28737,plain,
% 9.24/6.71 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s171, c_busy) | m_main_v_state(s171, c_ready))),
% 9.24/6.71 inference(quant_inst,[status(thm)],[])).
% 9.24/6.71 tff(28738,plain,
% 9.24/6.71 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s171, c_busy) | m_main_v_state(s171, c_ready)),
% 9.24/6.71 inference(modus_ponens,[status(thm)],[28737, 28736])).
% 9.24/6.71 tff(28739,plain,
% 9.24/6.71 ($false),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28738, 213, 28735, 28728])).
% 9.24/6.71 tff(28740,plain,(xuntil6(s171) | (~until5(s171))), inference(lemma,lemma(discharge,[]))).
% 9.24/6.71 tff(28741,plain,
% 9.24/6.71 (~until5(s171)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28740, 28032])).
% 9.24/6.71 tff(28742,plain,
% 9.24/6.71 (~xuntil6(s170)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[7628, 28741])).
% 9.24/6.71 tff(28743,assumption,(~xuntil6(s170)), introduced(assumption)).
% 9.24/6.71 tff(28744,assumption,(~always3(s170)), introduced(assumption)).
% 9.24/6.71 tff(28745,plain,
% 9.24/6.71 (~always3(s169)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[7666, 28744])).
% 9.24/6.71 tff(28746,plain,
% 9.24/6.71 (~node4(s169)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[7670, 22, 28745])).
% 9.24/6.71 tff(28747,plain,
% 9.24/6.71 (xuntil6(s169) | node4(s169)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[7677, 36, 28031])).
% 9.24/6.71 tff(28748,plain,
% 9.24/6.71 (xuntil6(s169)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28747, 28746])).
% 9.24/6.71 tff(28749,plain,
% 9.24/6.71 (until5(s170)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[7657, 28748])).
% 9.24/6.71 tff(28750,plain,
% 9.24/6.71 (node4(s170) | (~until5(s170))),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[7648, 36, 28743])).
% 9.24/6.71 tff(28751,plain,
% 9.24/6.71 (node4(s170)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28750, 28749])).
% 9.24/6.71 tff(28752,plain,
% 9.24/6.71 ($false),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[7641, 22, 28744, 28751])).
% 9.24/6.71 tff(28753,plain,(always3(s170) | xuntil6(s170) | (~until5(s169))), inference(lemma,lemma(discharge,[]))).
% 9.24/6.71 tff(28754,plain,
% 9.24/6.71 (always3(s170)),
% 9.24/6.71 inference(unit_resolution,[status(thm)],[28753, 28031, 28743])).
% 9.24/6.71 tff(28755,plain,
% 9.24/6.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s170)) | (~m_main_v_state(s170, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s170)) | (~m_main_v_state(s170, c_busy)))),
% 9.24/6.71 inference(rewrite,[status(thm)],[])).
% 9.24/6.71 tff(28756,plain,
% 9.24/6.71 (((~m_main_v_state(s170, c_busy)) | (~always3(s170))) <=> ((~always3(s170)) | (~m_main_v_state(s170, c_busy)))),
% 9.24/6.71 inference(rewrite,[status(thm)],[])).
% 9.24/6.71 tff(28757,plain,
% 9.24/6.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s170, c_busy)) | (~always3(s170)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s170)) | (~m_main_v_state(s170, c_busy))))),
% 9.24/6.71 inference(monotonicity,[status(thm)],[28756])).
% 9.24/6.71 tff(28758,plain,
% 9.24/6.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s170, c_busy)) | (~always3(s170)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s170)) | (~m_main_v_state(s170, c_busy)))),
% 9.24/6.72 inference(transitivity,[status(thm)],[28757, 28755])).
% 9.24/6.72 tff(28759,plain,
% 9.24/6.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s170, c_busy)) | (~always3(s170)))),
% 9.24/6.72 inference(quant_inst,[status(thm)],[])).
% 9.24/6.72 tff(28760,plain,
% 9.24/6.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s170)) | (~m_main_v_state(s170, c_busy))),
% 9.24/6.72 inference(modus_ponens,[status(thm)],[28759, 28758])).
% 9.24/6.72 tff(28761,plain,
% 9.24/6.72 (~m_main_v_state(s170, c_busy)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28760, 170, 28754])).
% 9.24/6.72 tff(28762,assumption,(~m_main_v_state(s171, c_busy)), introduced(assumption)).
% 9.24/6.72 tff(28763,plain,
% 9.24/6.72 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s170, c_busy) | m_main_v_state(s170, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s170, c_busy) | m_main_v_state(s170, c_ready))),
% 9.24/6.72 inference(rewrite,[status(thm)],[])).
% 9.24/6.72 tff(28764,plain,
% 9.24/6.72 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s170, c_busy) | m_main_v_state(s170, c_ready))),
% 9.24/6.72 inference(quant_inst,[status(thm)],[])).
% 9.24/6.72 tff(28765,plain,
% 9.24/6.72 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s170, c_busy) | m_main_v_state(s170, c_ready)),
% 9.24/6.72 inference(modus_ponens,[status(thm)],[28764, 28763])).
% 9.24/6.72 tff(28766,plain,
% 9.24/6.72 (m_main_v_state(s170, c_ready)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28765, 213, 28761])).
% 9.24/6.72 tff(28767,plain,
% 9.24/6.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s170, s171)) | node2(s170, s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s170, s171)) | node2(s170, s171))),
% 9.24/6.72 inference(rewrite,[status(thm)],[])).
% 9.24/6.72 tff(28768,plain,
% 9.24/6.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s170, s171)) | node2(s170, s171))),
% 9.24/6.72 inference(quant_inst,[status(thm)],[])).
% 9.24/6.72 tff(28769,plain,
% 9.24/6.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s170, s171)) | node2(s170, s171)),
% 9.24/6.72 inference(modus_ponens,[status(thm)],[28768, 28767])).
% 9.24/6.72 tff(28770,plain,
% 9.24/6.72 (node2(s170, s171)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28769, 7, 7633])).
% 9.24/6.72 tff(28771,plain,
% 9.24/6.72 (((~![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(s170, c_ready)) | (~node2(s170, s171)) | m_main_v_state(s171, c_busy) | (~m_main_v_request(s170)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s170, c_ready)) | (~node2(s170, s171)) | m_main_v_state(s171, c_busy) | (~m_main_v_request(s170)))),
% 9.24/6.72 inference(rewrite,[status(thm)],[])).
% 9.24/6.72 tff(28772,plain,
% 9.24/6.72 ((~![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(s170, c_ready)) | (~node2(s170, s171)) | m_main_v_state(s171, c_busy) | (~m_main_v_request(s170)))),
% 9.24/6.72 inference(quant_inst,[status(thm)],[])).
% 9.24/6.72 tff(28773,plain,
% 9.24/6.72 ((~![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(s170, c_ready)) | (~node2(s170, s171)) | m_main_v_state(s171, c_busy) | (~m_main_v_request(s170))),
% 9.24/6.72 inference(modus_ponens,[status(thm)],[28772, 28771])).
% 9.24/6.72 tff(28774,plain,
% 9.24/6.72 ((~m_main_v_state(s170, c_ready)) | m_main_v_state(s171, c_busy) | (~m_main_v_request(s170))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28773, 191, 28770])).
% 9.24/6.72 tff(28775,plain,
% 9.24/6.72 (~m_main_v_request(s170)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28774, 28766, 28762])).
% 9.24/6.72 tff(28776,plain,
% 9.24/6.72 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s170) | (~node4(s170)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s170) | (~node4(s170)))),
% 9.24/6.72 inference(rewrite,[status(thm)],[])).
% 9.24/6.72 tff(28777,plain,
% 9.24/6.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s170) | (~node4(s170)))),
% 9.24/6.72 inference(quant_inst,[status(thm)],[])).
% 9.24/6.72 tff(28778,plain,
% 9.24/6.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s170) | (~node4(s170))),
% 9.24/6.72 inference(modus_ponens,[status(thm)],[28777, 28776])).
% 9.24/6.72 tff(28779,plain,
% 9.24/6.72 (~node4(s170)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28778, 154, 28775])).
% 9.24/6.72 tff(28780,plain,
% 9.24/6.72 (~until5(s170)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28750, 28779])).
% 9.24/6.72 tff(28781,plain,
% 9.24/6.72 (~xuntil6(s169)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7657, 28780])).
% 9.24/6.72 tff(28782,plain,
% 9.24/6.72 (node4(s169)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28747, 28781])).
% 9.24/6.72 tff(28783,plain,
% 9.24/6.72 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s169) | (~node4(s169)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s169) | (~node4(s169)))),
% 9.24/6.72 inference(rewrite,[status(thm)],[])).
% 9.24/6.72 tff(28784,plain,
% 9.24/6.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s169) | (~node4(s169)))),
% 9.24/6.72 inference(quant_inst,[status(thm)],[])).
% 9.24/6.72 tff(28785,plain,
% 9.24/6.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s169) | (~node4(s169))),
% 9.24/6.72 inference(modus_ponens,[status(thm)],[28784, 28783])).
% 9.24/6.72 tff(28786,plain,
% 9.24/6.72 (m_main_v_request(s169)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28785, 154, 28782])).
% 9.24/6.72 tff(28787,plain,
% 9.24/6.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s169, s170)) | node2(s169, s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s169, s170)) | node2(s169, s170))),
% 9.24/6.72 inference(rewrite,[status(thm)],[])).
% 9.24/6.72 tff(28788,plain,
% 9.24/6.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s169, s170)) | node2(s169, s170))),
% 9.24/6.72 inference(quant_inst,[status(thm)],[])).
% 9.24/6.72 tff(28789,plain,
% 9.24/6.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s169, s170)) | node2(s169, s170)),
% 9.24/6.72 inference(modus_ponens,[status(thm)],[28788, 28787])).
% 9.24/6.72 tff(28790,plain,
% 9.24/6.72 (node2(s169, s170)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28789, 7, 7662])).
% 9.24/6.72 tff(28791,plain,
% 9.24/6.72 (((~![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(s169, c_ready)) | (~node2(s169, s170)) | m_main_v_state(s170, c_busy) | (~m_main_v_request(s169)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s169, c_ready)) | (~node2(s169, s170)) | m_main_v_state(s170, c_busy) | (~m_main_v_request(s169)))),
% 9.24/6.72 inference(rewrite,[status(thm)],[])).
% 9.24/6.72 tff(28792,plain,
% 9.24/6.72 ((~![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(s169, c_ready)) | (~node2(s169, s170)) | m_main_v_state(s170, c_busy) | (~m_main_v_request(s169)))),
% 9.24/6.72 inference(quant_inst,[status(thm)],[])).
% 9.24/6.72 tff(28793,plain,
% 9.24/6.72 ((~![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(s169, c_ready)) | (~node2(s169, s170)) | m_main_v_state(s170, c_busy) | (~m_main_v_request(s169))),
% 9.24/6.72 inference(modus_ponens,[status(thm)],[28792, 28791])).
% 9.24/6.72 tff(28794,plain,
% 9.24/6.72 ((~m_main_v_state(s169, c_ready)) | m_main_v_state(s170, c_busy) | (~m_main_v_request(s169))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28793, 191, 28790])).
% 9.24/6.72 tff(28795,plain,
% 9.24/6.72 (~m_main_v_state(s169, c_ready)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28794, 28786, 28761])).
% 9.24/6.72 tff(28796,plain,
% 9.24/6.72 (always3(s169)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7670, 22, 28782])).
% 9.24/6.72 tff(28797,plain,
% 9.24/6.72 (~m_main_v_state(s169, c_busy)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[27974, 170, 28796])).
% 9.24/6.72 tff(28798,plain,
% 9.24/6.72 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s169, c_busy) | m_main_v_state(s169, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s169, c_busy) | m_main_v_state(s169, c_ready))),
% 9.24/6.72 inference(rewrite,[status(thm)],[])).
% 9.24/6.72 tff(28799,plain,
% 9.24/6.72 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s169, c_busy) | m_main_v_state(s169, c_ready))),
% 9.24/6.72 inference(quant_inst,[status(thm)],[])).
% 9.24/6.72 tff(28800,plain,
% 9.24/6.72 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s169, c_busy) | m_main_v_state(s169, c_ready)),
% 9.24/6.72 inference(modus_ponens,[status(thm)],[28799, 28798])).
% 9.24/6.72 tff(28801,plain,
% 9.24/6.72 ($false),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28800, 213, 28797, 28795])).
% 9.24/6.72 tff(28802,plain,((~until5(s169)) | xuntil6(s170) | m_main_v_state(s171, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.24/6.72 tff(28803,plain,
% 9.24/6.72 (m_main_v_state(s171, c_busy)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28802, 28742, 28031])).
% 9.24/6.72 tff(28804,plain,
% 9.24/6.72 ($false),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28734, 170, 28704, 28803])).
% 9.24/6.72 tff(28805,plain,(xuntil6(s171) | (~until5(s169))), inference(lemma,lemma(discharge,[]))).
% 9.24/6.72 tff(28806,plain,
% 9.24/6.72 (xuntil6(s171)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28805, 28030])).
% 9.24/6.72 tff(28807,plain,
% 9.24/6.72 (until5(s172)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7599, 28806])).
% 9.24/6.72 tff(28808,assumption,(~xuntil6(s173)), introduced(assumption)).
% 9.24/6.72 tff(28809,assumption,(~always3(s173)), introduced(assumption)).
% 9.24/6.72 tff(28810,plain,
% 9.24/6.72 (~always3(s172)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7579, 28809])).
% 9.24/6.72 tff(28811,plain,
% 9.24/6.72 (~node4(s172)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7583, 22, 28810])).
% 9.24/6.72 tff(28812,plain,
% 9.24/6.72 (~node4(s173)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7554, 22, 28809])).
% 9.24/6.72 tff(28813,plain,
% 9.24/6.72 (node4(s173) | (~until5(s173))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7561, 36, 28808])).
% 9.24/6.72 tff(28814,plain,
% 9.24/6.72 (~until5(s173)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28813, 28812])).
% 9.24/6.72 tff(28815,plain,
% 9.24/6.72 (~xuntil6(s172)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7570, 28814])).
% 9.24/6.72 tff(28816,plain,
% 9.24/6.72 (~until5(s172)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7590, 36, 28815, 28811])).
% 9.24/6.72 tff(28817,plain,
% 9.24/6.72 (~xuntil6(s171)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7599, 28816])).
% 9.24/6.72 tff(28818,plain,
% 9.24/6.72 (~always3(s171)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7608, 28810])).
% 9.24/6.72 tff(28819,plain,
% 9.24/6.72 (~node4(s171)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7612, 22, 28818])).
% 9.24/6.72 tff(28820,plain,
% 9.24/6.72 (xuntil6(s171) | (~until5(s171))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7619, 36, 28819])).
% 9.24/6.72 tff(28821,plain,
% 9.24/6.72 (~until5(s171)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28820, 28817])).
% 9.24/6.72 tff(28822,plain,
% 9.24/6.72 (~xuntil6(s170)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7628, 28821])).
% 9.24/6.72 tff(28823,plain,
% 9.24/6.72 (~always3(s170)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7637, 28818])).
% 9.24/6.72 tff(28824,plain,
% 9.24/6.72 (~node4(s170)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7641, 22, 28823])).
% 9.24/6.72 tff(28825,plain,
% 9.24/6.72 (xuntil6(s170) | (~until5(s170))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7648, 36, 28824])).
% 9.24/6.72 tff(28826,plain,
% 9.24/6.72 (~until5(s170)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28825, 28822])).
% 9.24/6.72 tff(28827,plain,
% 9.24/6.72 (~xuntil6(s169)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7657, 28826])).
% 9.24/6.72 tff(28828,plain,
% 9.24/6.72 (~always3(s169)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7666, 28823])).
% 9.24/6.72 tff(28829,plain,
% 9.24/6.72 (~node4(s169)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7670, 22, 28828])).
% 9.24/6.72 tff(28830,plain,
% 9.24/6.72 (xuntil6(s169) | (~until5(s169))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7677, 36, 28829])).
% 9.24/6.72 tff(28831,plain,
% 9.24/6.72 (~until5(s169)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28830, 28827])).
% 9.24/6.72 tff(28832,plain,
% 9.24/6.72 (~xuntil6(s168)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7686, 28831])).
% 9.24/6.72 tff(28833,plain,
% 9.24/6.72 (~always3(s168)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7695, 28828])).
% 9.24/6.72 tff(28834,plain,
% 9.24/6.72 (~node4(s168)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7699, 22, 28833])).
% 9.24/6.72 tff(28835,plain,
% 9.24/6.72 (xuntil6(s168) | (~until5(s168))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7706, 36, 28834])).
% 9.24/6.72 tff(28836,plain,
% 9.24/6.72 (~until5(s168)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28835, 28832])).
% 9.24/6.72 tff(28837,plain,
% 9.24/6.72 (~xuntil6(s167)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7715, 28836])).
% 9.24/6.72 tff(28838,plain,
% 9.24/6.72 (~always3(s167)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7724, 28833])).
% 9.24/6.72 tff(28839,plain,
% 9.24/6.72 (~node4(s167)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7728, 22, 28838])).
% 9.24/6.72 tff(28840,plain,
% 9.24/6.72 (xuntil6(s167) | (~until5(s167))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7735, 36, 28839])).
% 9.24/6.72 tff(28841,plain,
% 9.24/6.72 (~until5(s167)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28840, 28837])).
% 9.24/6.72 tff(28842,plain,
% 9.24/6.72 (~xuntil6(s166)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7744, 28841])).
% 9.24/6.72 tff(28843,plain,
% 9.24/6.72 (~always3(s166)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7753, 28838])).
% 9.24/6.72 tff(28844,plain,
% 9.24/6.72 (~node4(s166)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7757, 22, 28843])).
% 9.24/6.72 tff(28845,plain,
% 9.24/6.72 (xuntil6(s166) | (~until5(s166))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7764, 36, 28844])).
% 9.24/6.72 tff(28846,plain,
% 9.24/6.72 (~until5(s166)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28845, 28842])).
% 9.24/6.72 tff(28847,plain,
% 9.24/6.72 (~xuntil6(s165)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7773, 28846])).
% 9.24/6.72 tff(28848,plain,
% 9.24/6.72 (~always3(s165)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7782, 28843])).
% 9.24/6.72 tff(28849,plain,
% 9.24/6.72 (~node4(s165)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7786, 22, 28848])).
% 9.24/6.72 tff(28850,plain,
% 9.24/6.72 (xuntil6(s165) | (~until5(s165))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7793, 36, 28849])).
% 9.24/6.72 tff(28851,plain,
% 9.24/6.72 (~until5(s165)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28850, 28847])).
% 9.24/6.72 tff(28852,plain,
% 9.24/6.72 (~xuntil6(s164)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7802, 28851])).
% 9.24/6.72 tff(28853,plain,
% 9.24/6.72 (~always3(s164)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7811, 28848])).
% 9.24/6.72 tff(28854,plain,
% 9.24/6.72 (~node4(s164)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7815, 22, 28853])).
% 9.24/6.72 tff(28855,plain,
% 9.24/6.72 (xuntil6(s164) | (~until5(s164))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7822, 36, 28854])).
% 9.24/6.72 tff(28856,plain,
% 9.24/6.72 (~until5(s164)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28855, 28852])).
% 9.24/6.72 tff(28857,plain,
% 9.24/6.72 (~xuntil6(s163)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7831, 28856])).
% 9.24/6.72 tff(28858,plain,
% 9.24/6.72 (~always3(s163)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7840, 28853])).
% 9.24/6.72 tff(28859,plain,
% 9.24/6.72 (~node4(s163)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7844, 22, 28858])).
% 9.24/6.72 tff(28860,plain,
% 9.24/6.72 (xuntil6(s163) | (~until5(s163))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7851, 36, 28859])).
% 9.24/6.72 tff(28861,plain,
% 9.24/6.72 (~until5(s163)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28860, 28857])).
% 9.24/6.72 tff(28862,plain,
% 9.24/6.72 (~xuntil6(s162)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7860, 28861])).
% 9.24/6.72 tff(28863,plain,
% 9.24/6.72 (~always3(s162)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7869, 28858])).
% 9.24/6.72 tff(28864,plain,
% 9.24/6.72 (~node4(s162)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7873, 22, 28863])).
% 9.24/6.72 tff(28865,plain,
% 9.24/6.72 (xuntil6(s162) | (~until5(s162))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7880, 36, 28864])).
% 9.24/6.72 tff(28866,plain,
% 9.24/6.72 (~until5(s162)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28865, 28862])).
% 9.24/6.72 tff(28867,plain,
% 9.24/6.72 (~xuntil6(s161)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7889, 28866])).
% 9.24/6.72 tff(28868,plain,
% 9.24/6.72 (~always3(s161)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7898, 28863])).
% 9.24/6.72 tff(28869,plain,
% 9.24/6.72 (~node4(s161)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7902, 22, 28868])).
% 9.24/6.72 tff(28870,plain,
% 9.24/6.72 (xuntil6(s161) | (~until5(s161))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7909, 36, 28869])).
% 9.24/6.72 tff(28871,plain,
% 9.24/6.72 (~until5(s161)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28870, 28867])).
% 9.24/6.72 tff(28872,plain,
% 9.24/6.72 (~xuntil6(s160)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7918, 28871])).
% 9.24/6.72 tff(28873,plain,
% 9.24/6.72 (~always3(s160)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7927, 28868])).
% 9.24/6.72 tff(28874,plain,
% 9.24/6.72 (~node4(s160)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7931, 22, 28873])).
% 9.24/6.72 tff(28875,plain,
% 9.24/6.72 (xuntil6(s160) | (~until5(s160))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7938, 36, 28874])).
% 9.24/6.72 tff(28876,plain,
% 9.24/6.72 (~until5(s160)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28875, 28872])).
% 9.24/6.72 tff(28877,plain,
% 9.24/6.72 (~xuntil6(s159)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7947, 28876])).
% 9.24/6.72 tff(28878,plain,
% 9.24/6.72 (~always3(s159)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7956, 28873])).
% 9.24/6.72 tff(28879,plain,
% 9.24/6.72 (~node4(s159)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7960, 22, 28878])).
% 9.24/6.72 tff(28880,plain,
% 9.24/6.72 (xuntil6(s159) | (~until5(s159))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7967, 36, 28879])).
% 9.24/6.72 tff(28881,plain,
% 9.24/6.72 (~until5(s159)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28880, 28877])).
% 9.24/6.72 tff(28882,plain,
% 9.24/6.72 (~xuntil6(s158)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7976, 28881])).
% 9.24/6.72 tff(28883,plain,
% 9.24/6.72 (~always3(s158)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7985, 28878])).
% 9.24/6.72 tff(28884,plain,
% 9.24/6.72 (~node4(s158)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7989, 22, 28883])).
% 9.24/6.72 tff(28885,plain,
% 9.24/6.72 (xuntil6(s158) | (~until5(s158))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[7996, 36, 28884])).
% 9.24/6.72 tff(28886,plain,
% 9.24/6.72 (~until5(s158)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28885, 28882])).
% 9.24/6.72 tff(28887,plain,
% 9.24/6.72 (~xuntil6(s157)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8005, 28886])).
% 9.24/6.72 tff(28888,plain,
% 9.24/6.72 (~always3(s157)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8014, 28883])).
% 9.24/6.72 tff(28889,plain,
% 9.24/6.72 (~node4(s157)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8018, 22, 28888])).
% 9.24/6.72 tff(28890,plain,
% 9.24/6.72 (xuntil6(s157) | (~until5(s157))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8025, 36, 28889])).
% 9.24/6.72 tff(28891,plain,
% 9.24/6.72 (~until5(s157)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28890, 28887])).
% 9.24/6.72 tff(28892,plain,
% 9.24/6.72 (~xuntil6(s156)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8034, 28891])).
% 9.24/6.72 tff(28893,plain,
% 9.24/6.72 (~always3(s156)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8043, 28888])).
% 9.24/6.72 tff(28894,plain,
% 9.24/6.72 (~node4(s156)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8047, 22, 28893])).
% 9.24/6.72 tff(28895,plain,
% 9.24/6.72 (xuntil6(s156) | (~until5(s156))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8054, 36, 28894])).
% 9.24/6.72 tff(28896,plain,
% 9.24/6.72 (~until5(s156)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28895, 28892])).
% 9.24/6.72 tff(28897,plain,
% 9.24/6.72 (~xuntil6(s155)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8063, 28896])).
% 9.24/6.72 tff(28898,plain,
% 9.24/6.72 (~always3(s155)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8072, 28893])).
% 9.24/6.72 tff(28899,plain,
% 9.24/6.72 (~node4(s155)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8076, 22, 28898])).
% 9.24/6.72 tff(28900,plain,
% 9.24/6.72 (xuntil6(s155) | (~until5(s155))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8083, 36, 28899])).
% 9.24/6.72 tff(28901,plain,
% 9.24/6.72 (~until5(s155)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28900, 28897])).
% 9.24/6.72 tff(28902,plain,
% 9.24/6.72 (~xuntil6(s154)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8092, 28901])).
% 9.24/6.72 tff(28903,plain,
% 9.24/6.72 (~always3(s154)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8101, 28898])).
% 9.24/6.72 tff(28904,plain,
% 9.24/6.72 (~node4(s154)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8105, 22, 28903])).
% 9.24/6.72 tff(28905,plain,
% 9.24/6.72 (xuntil6(s154) | (~until5(s154))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8112, 36, 28904])).
% 9.24/6.72 tff(28906,plain,
% 9.24/6.72 (~until5(s154)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28905, 28902])).
% 9.24/6.72 tff(28907,plain,
% 9.24/6.72 (~xuntil6(s153)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8121, 28906])).
% 9.24/6.72 tff(28908,plain,
% 9.24/6.72 (~always3(s153)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8130, 28903])).
% 9.24/6.72 tff(28909,plain,
% 9.24/6.72 (~node4(s153)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8134, 22, 28908])).
% 9.24/6.72 tff(28910,plain,
% 9.24/6.72 (xuntil6(s153) | (~until5(s153))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8141, 36, 28909])).
% 9.24/6.72 tff(28911,plain,
% 9.24/6.72 (~until5(s153)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28910, 28907])).
% 9.24/6.72 tff(28912,plain,
% 9.24/6.72 (~xuntil6(s152)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8150, 28911])).
% 9.24/6.72 tff(28913,plain,
% 9.24/6.72 (~always3(s152)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8159, 28908])).
% 9.24/6.72 tff(28914,plain,
% 9.24/6.72 (~node4(s152)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8163, 22, 28913])).
% 9.24/6.72 tff(28915,plain,
% 9.24/6.72 (xuntil6(s152) | (~until5(s152))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8170, 36, 28914])).
% 9.24/6.72 tff(28916,plain,
% 9.24/6.72 (~until5(s152)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28915, 28912])).
% 9.24/6.72 tff(28917,plain,
% 9.24/6.72 (~xuntil6(s151)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8179, 28916])).
% 9.24/6.72 tff(28918,plain,
% 9.24/6.72 (~always3(s151)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8188, 28913])).
% 9.24/6.72 tff(28919,plain,
% 9.24/6.72 (~node4(s151)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8192, 22, 28918])).
% 9.24/6.72 tff(28920,plain,
% 9.24/6.72 (xuntil6(s151) | (~until5(s151))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8199, 36, 28919])).
% 9.24/6.72 tff(28921,plain,
% 9.24/6.72 (~until5(s151)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28920, 28917])).
% 9.24/6.72 tff(28922,plain,
% 9.24/6.72 (~xuntil6(s150)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8208, 28921])).
% 9.24/6.72 tff(28923,plain,
% 9.24/6.72 (~always3(s150)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8217, 28918])).
% 9.24/6.72 tff(28924,plain,
% 9.24/6.72 (~node4(s150)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8221, 22, 28923])).
% 9.24/6.72 tff(28925,plain,
% 9.24/6.72 (xuntil6(s150) | (~until5(s150))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8228, 36, 28924])).
% 9.24/6.72 tff(28926,plain,
% 9.24/6.72 (~until5(s150)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28925, 28922])).
% 9.24/6.72 tff(28927,plain,
% 9.24/6.72 (~xuntil6(s149)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8237, 28926])).
% 9.24/6.72 tff(28928,plain,
% 9.24/6.72 (~always3(s149)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8246, 28923])).
% 9.24/6.72 tff(28929,plain,
% 9.24/6.72 (~node4(s149)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8250, 22, 28928])).
% 9.24/6.72 tff(28930,plain,
% 9.24/6.72 (xuntil6(s149) | (~until5(s149))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8257, 36, 28929])).
% 9.24/6.72 tff(28931,plain,
% 9.24/6.72 (~until5(s149)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28930, 28927])).
% 9.24/6.72 tff(28932,plain,
% 9.24/6.72 (~xuntil6(s148)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8266, 28931])).
% 9.24/6.72 tff(28933,plain,
% 9.24/6.72 (~always3(s148)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8275, 28928])).
% 9.24/6.72 tff(28934,plain,
% 9.24/6.72 (~node4(s148)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8279, 22, 28933])).
% 9.24/6.72 tff(28935,plain,
% 9.24/6.72 (xuntil6(s148) | (~until5(s148))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8286, 36, 28934])).
% 9.24/6.72 tff(28936,plain,
% 9.24/6.72 (~until5(s148)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28935, 28932])).
% 9.24/6.72 tff(28937,plain,
% 9.24/6.72 (~xuntil6(s147)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8295, 28936])).
% 9.24/6.72 tff(28938,plain,
% 9.24/6.72 (~always3(s147)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8304, 28933])).
% 9.24/6.72 tff(28939,plain,
% 9.24/6.72 (~node4(s147)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8308, 22, 28938])).
% 9.24/6.72 tff(28940,plain,
% 9.24/6.72 (xuntil6(s147) | (~until5(s147))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8315, 36, 28939])).
% 9.24/6.72 tff(28941,plain,
% 9.24/6.72 (~until5(s147)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28940, 28937])).
% 9.24/6.72 tff(28942,plain,
% 9.24/6.72 (~xuntil6(s146)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8324, 28941])).
% 9.24/6.72 tff(28943,plain,
% 9.24/6.72 (~always3(s146)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8333, 28938])).
% 9.24/6.72 tff(28944,plain,
% 9.24/6.72 (~node4(s146)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8337, 22, 28943])).
% 9.24/6.72 tff(28945,plain,
% 9.24/6.72 (xuntil6(s146) | (~until5(s146))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8344, 36, 28944])).
% 9.24/6.72 tff(28946,plain,
% 9.24/6.72 (~until5(s146)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28945, 28942])).
% 9.24/6.72 tff(28947,plain,
% 9.24/6.72 (~xuntil6(s145)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8353, 28946])).
% 9.24/6.72 tff(28948,plain,
% 9.24/6.72 (~always3(s145)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8362, 28943])).
% 9.24/6.72 tff(28949,plain,
% 9.24/6.72 (~node4(s145)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8366, 22, 28948])).
% 9.24/6.72 tff(28950,plain,
% 9.24/6.72 (xuntil6(s145) | (~until5(s145))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8373, 36, 28949])).
% 9.24/6.72 tff(28951,plain,
% 9.24/6.72 (~until5(s145)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28950, 28947])).
% 9.24/6.72 tff(28952,plain,
% 9.24/6.72 (~xuntil6(s144)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8382, 28951])).
% 9.24/6.72 tff(28953,plain,
% 9.24/6.72 (~always3(s144)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8391, 28948])).
% 9.24/6.72 tff(28954,plain,
% 9.24/6.72 (~node4(s144)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8395, 22, 28953])).
% 9.24/6.72 tff(28955,plain,
% 9.24/6.72 (xuntil6(s144) | (~until5(s144))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8402, 36, 28954])).
% 9.24/6.72 tff(28956,plain,
% 9.24/6.72 (~until5(s144)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28955, 28952])).
% 9.24/6.72 tff(28957,plain,
% 9.24/6.72 (~xuntil6(s143)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8411, 28956])).
% 9.24/6.72 tff(28958,plain,
% 9.24/6.72 (~always3(s143)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8420, 28953])).
% 9.24/6.72 tff(28959,plain,
% 9.24/6.72 (~node4(s143)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8424, 22, 28958])).
% 9.24/6.72 tff(28960,plain,
% 9.24/6.72 (xuntil6(s143) | (~until5(s143))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8431, 36, 28959])).
% 9.24/6.72 tff(28961,plain,
% 9.24/6.72 (~until5(s143)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28960, 28957])).
% 9.24/6.72 tff(28962,plain,
% 9.24/6.72 (~xuntil6(s142)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8440, 28961])).
% 9.24/6.72 tff(28963,plain,
% 9.24/6.72 (~always3(s142)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8449, 28958])).
% 9.24/6.72 tff(28964,plain,
% 9.24/6.72 (~node4(s142)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8453, 22, 28963])).
% 9.24/6.72 tff(28965,plain,
% 9.24/6.72 (xuntil6(s142) | (~until5(s142))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8460, 36, 28964])).
% 9.24/6.72 tff(28966,plain,
% 9.24/6.72 (~until5(s142)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28965, 28962])).
% 9.24/6.72 tff(28967,plain,
% 9.24/6.72 (~xuntil6(s141)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8469, 28966])).
% 9.24/6.72 tff(28968,plain,
% 9.24/6.72 (~always3(s141)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8478, 28963])).
% 9.24/6.72 tff(28969,plain,
% 9.24/6.72 (~node4(s141)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8482, 22, 28968])).
% 9.24/6.72 tff(28970,plain,
% 9.24/6.72 (xuntil6(s141) | (~until5(s141))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8489, 36, 28969])).
% 9.24/6.72 tff(28971,plain,
% 9.24/6.72 (~until5(s141)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28970, 28967])).
% 9.24/6.72 tff(28972,plain,
% 9.24/6.72 (~xuntil6(s140)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8498, 28971])).
% 9.24/6.72 tff(28973,plain,
% 9.24/6.72 (~always3(s140)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8507, 28968])).
% 9.24/6.72 tff(28974,plain,
% 9.24/6.72 (~node4(s140)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8511, 22, 28973])).
% 9.24/6.72 tff(28975,plain,
% 9.24/6.72 (xuntil6(s140) | (~until5(s140))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8518, 36, 28974])).
% 9.24/6.72 tff(28976,plain,
% 9.24/6.72 (~until5(s140)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28975, 28972])).
% 9.24/6.72 tff(28977,plain,
% 9.24/6.72 (~xuntil6(s139)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8527, 28976])).
% 9.24/6.72 tff(28978,plain,
% 9.24/6.72 (~always3(s139)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8536, 28973])).
% 9.24/6.72 tff(28979,plain,
% 9.24/6.72 (~node4(s139)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8540, 22, 28978])).
% 9.24/6.72 tff(28980,plain,
% 9.24/6.72 (xuntil6(s139) | (~until5(s139))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8547, 36, 28979])).
% 9.24/6.72 tff(28981,plain,
% 9.24/6.72 (~until5(s139)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28980, 28977])).
% 9.24/6.72 tff(28982,plain,
% 9.24/6.72 (~xuntil6(s138)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8556, 28981])).
% 9.24/6.72 tff(28983,plain,
% 9.24/6.72 (~always3(s138)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8565, 28978])).
% 9.24/6.72 tff(28984,plain,
% 9.24/6.72 (~node4(s138)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8569, 22, 28983])).
% 9.24/6.72 tff(28985,plain,
% 9.24/6.72 (xuntil6(s138) | (~until5(s138))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8576, 36, 28984])).
% 9.24/6.72 tff(28986,plain,
% 9.24/6.72 (~until5(s138)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28985, 28982])).
% 9.24/6.72 tff(28987,plain,
% 9.24/6.72 (~xuntil6(s137)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8585, 28986])).
% 9.24/6.72 tff(28988,plain,
% 9.24/6.72 (~always3(s137)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8594, 28983])).
% 9.24/6.72 tff(28989,plain,
% 9.24/6.72 (~node4(s137)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8598, 22, 28988])).
% 9.24/6.72 tff(28990,plain,
% 9.24/6.72 (xuntil6(s137) | (~until5(s137))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8605, 36, 28989])).
% 9.24/6.72 tff(28991,plain,
% 9.24/6.72 (~until5(s137)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28990, 28987])).
% 9.24/6.72 tff(28992,plain,
% 9.24/6.72 (~xuntil6(s136)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10896, 28991])).
% 9.24/6.72 tff(28993,plain,
% 9.24/6.72 (~always3(s136)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8618, 28988])).
% 9.24/6.72 tff(28994,plain,
% 9.24/6.72 (~node4(s136)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10883, 22, 28993])).
% 9.24/6.72 tff(28995,plain,
% 9.24/6.72 (xuntil6(s136) | (~until5(s136))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10890, 36, 28994])).
% 9.24/6.72 tff(28996,plain,
% 9.24/6.72 (~until5(s136)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[28995, 28992])).
% 9.24/6.72 tff(28997,plain,
% 9.24/6.72 (~xuntil6(s135)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10879, 28996])).
% 9.24/6.72 tff(28998,plain,
% 9.24/6.72 (~always3(s135)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8630, 28993])).
% 9.24/6.72 tff(28999,plain,
% 9.24/6.72 (~node4(s135)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10866, 22, 28998])).
% 9.24/6.72 tff(29000,plain,
% 9.24/6.72 (xuntil6(s135) | (~until5(s135))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10873, 36, 28999])).
% 9.24/6.72 tff(29001,plain,
% 9.24/6.72 (~until5(s135)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29000, 28997])).
% 9.24/6.72 tff(29002,plain,
% 9.24/6.72 (~xuntil6(s134)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10862, 29001])).
% 9.24/6.72 tff(29003,plain,
% 9.24/6.72 (~always3(s134)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8642, 28998])).
% 9.24/6.72 tff(29004,plain,
% 9.24/6.72 (~node4(s134)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10849, 22, 29003])).
% 9.24/6.72 tff(29005,plain,
% 9.24/6.72 (xuntil6(s134) | (~until5(s134))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10856, 36, 29004])).
% 9.24/6.72 tff(29006,plain,
% 9.24/6.72 (~until5(s134)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29005, 29002])).
% 9.24/6.72 tff(29007,plain,
% 9.24/6.72 (~xuntil6(s133)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10845, 29006])).
% 9.24/6.72 tff(29008,plain,
% 9.24/6.72 (~always3(s133)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8654, 29003])).
% 9.24/6.72 tff(29009,plain,
% 9.24/6.72 (~node4(s133)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10832, 22, 29008])).
% 9.24/6.72 tff(29010,plain,
% 9.24/6.72 (xuntil6(s133) | (~until5(s133))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10839, 36, 29009])).
% 9.24/6.72 tff(29011,plain,
% 9.24/6.72 (~until5(s133)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29010, 29007])).
% 9.24/6.72 tff(29012,plain,
% 9.24/6.72 (~xuntil6(s132)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10828, 29011])).
% 9.24/6.72 tff(29013,plain,
% 9.24/6.72 (~always3(s132)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8666, 29008])).
% 9.24/6.72 tff(29014,plain,
% 9.24/6.72 (~node4(s132)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10815, 22, 29013])).
% 9.24/6.72 tff(29015,plain,
% 9.24/6.72 (xuntil6(s132) | (~until5(s132))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10822, 36, 29014])).
% 9.24/6.72 tff(29016,plain,
% 9.24/6.72 (~until5(s132)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29015, 29012])).
% 9.24/6.72 tff(29017,plain,
% 9.24/6.72 (~xuntil6(s131)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10811, 29016])).
% 9.24/6.72 tff(29018,plain,
% 9.24/6.72 (~always3(s131)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8678, 29013])).
% 9.24/6.72 tff(29019,plain,
% 9.24/6.72 (~node4(s131)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10798, 22, 29018])).
% 9.24/6.72 tff(29020,plain,
% 9.24/6.72 (xuntil6(s131) | (~until5(s131))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10805, 36, 29019])).
% 9.24/6.72 tff(29021,plain,
% 9.24/6.72 (~until5(s131)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29020, 29017])).
% 9.24/6.72 tff(29022,plain,
% 9.24/6.72 (~xuntil6(s130)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10794, 29021])).
% 9.24/6.72 tff(29023,plain,
% 9.24/6.72 (~always3(s130)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8690, 29018])).
% 9.24/6.72 tff(29024,plain,
% 9.24/6.72 (~node4(s130)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10781, 22, 29023])).
% 9.24/6.72 tff(29025,plain,
% 9.24/6.72 (xuntil6(s130) | (~until5(s130))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10788, 36, 29024])).
% 9.24/6.72 tff(29026,plain,
% 9.24/6.72 (~until5(s130)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29025, 29022])).
% 9.24/6.72 tff(29027,plain,
% 9.24/6.72 (~xuntil6(s129)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10777, 29026])).
% 9.24/6.72 tff(29028,plain,
% 9.24/6.72 (~always3(s129)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8702, 29023])).
% 9.24/6.72 tff(29029,plain,
% 9.24/6.72 (~node4(s129)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10764, 22, 29028])).
% 9.24/6.72 tff(29030,plain,
% 9.24/6.72 (xuntil6(s129) | (~until5(s129))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10771, 36, 29029])).
% 9.24/6.72 tff(29031,plain,
% 9.24/6.72 (~until5(s129)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29030, 29027])).
% 9.24/6.72 tff(29032,plain,
% 9.24/6.72 (~xuntil6(s128)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10760, 29031])).
% 9.24/6.72 tff(29033,plain,
% 9.24/6.72 (~always3(s128)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8714, 29028])).
% 9.24/6.72 tff(29034,plain,
% 9.24/6.72 (~node4(s128)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10747, 22, 29033])).
% 9.24/6.72 tff(29035,plain,
% 9.24/6.72 (xuntil6(s128) | (~until5(s128))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10754, 36, 29034])).
% 9.24/6.72 tff(29036,plain,
% 9.24/6.72 (~until5(s128)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29035, 29032])).
% 9.24/6.72 tff(29037,plain,
% 9.24/6.72 (~xuntil6(s127)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10743, 29036])).
% 9.24/6.72 tff(29038,plain,
% 9.24/6.72 (~always3(s127)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8726, 29033])).
% 9.24/6.72 tff(29039,plain,
% 9.24/6.72 (~node4(s127)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10730, 22, 29038])).
% 9.24/6.72 tff(29040,plain,
% 9.24/6.72 (xuntil6(s127) | (~until5(s127))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10737, 36, 29039])).
% 9.24/6.72 tff(29041,plain,
% 9.24/6.72 (~until5(s127)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29040, 29037])).
% 9.24/6.72 tff(29042,plain,
% 9.24/6.72 (~xuntil6(s126)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10726, 29041])).
% 9.24/6.72 tff(29043,plain,
% 9.24/6.72 (~always3(s126)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8738, 29038])).
% 9.24/6.72 tff(29044,plain,
% 9.24/6.72 (~node4(s126)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10713, 22, 29043])).
% 9.24/6.72 tff(29045,plain,
% 9.24/6.72 (xuntil6(s126) | (~until5(s126))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10720, 36, 29044])).
% 9.24/6.72 tff(29046,plain,
% 9.24/6.72 (~until5(s126)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29045, 29042])).
% 9.24/6.72 tff(29047,plain,
% 9.24/6.72 (~xuntil6(s125)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10709, 29046])).
% 9.24/6.72 tff(29048,plain,
% 9.24/6.72 (~always3(s125)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8750, 29043])).
% 9.24/6.72 tff(29049,plain,
% 9.24/6.72 (~node4(s125)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10696, 22, 29048])).
% 9.24/6.72 tff(29050,plain,
% 9.24/6.72 (xuntil6(s125) | (~until5(s125))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10703, 36, 29049])).
% 9.24/6.72 tff(29051,plain,
% 9.24/6.72 (~until5(s125)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29050, 29047])).
% 9.24/6.72 tff(29052,plain,
% 9.24/6.72 (~xuntil6(s124)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10692, 29051])).
% 9.24/6.72 tff(29053,plain,
% 9.24/6.72 (~always3(s124)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8762, 29048])).
% 9.24/6.72 tff(29054,plain,
% 9.24/6.72 (~node4(s124)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10679, 22, 29053])).
% 9.24/6.72 tff(29055,plain,
% 9.24/6.72 (xuntil6(s124) | (~until5(s124))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10686, 36, 29054])).
% 9.24/6.72 tff(29056,plain,
% 9.24/6.72 (~until5(s124)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29055, 29052])).
% 9.24/6.72 tff(29057,plain,
% 9.24/6.72 (~xuntil6(s123)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10675, 29056])).
% 9.24/6.72 tff(29058,plain,
% 9.24/6.72 (~always3(s123)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8774, 29053])).
% 9.24/6.72 tff(29059,plain,
% 9.24/6.72 (~node4(s123)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10662, 22, 29058])).
% 9.24/6.72 tff(29060,plain,
% 9.24/6.72 (xuntil6(s123) | (~until5(s123))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10669, 36, 29059])).
% 9.24/6.72 tff(29061,plain,
% 9.24/6.72 (~until5(s123)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29060, 29057])).
% 9.24/6.72 tff(29062,plain,
% 9.24/6.72 (~xuntil6(s122)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10658, 29061])).
% 9.24/6.72 tff(29063,plain,
% 9.24/6.72 (~always3(s122)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8786, 29058])).
% 9.24/6.72 tff(29064,plain,
% 9.24/6.72 (~node4(s122)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10645, 22, 29063])).
% 9.24/6.72 tff(29065,plain,
% 9.24/6.72 (xuntil6(s122) | (~until5(s122))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10652, 36, 29064])).
% 9.24/6.72 tff(29066,plain,
% 9.24/6.72 (~until5(s122)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29065, 29062])).
% 9.24/6.72 tff(29067,plain,
% 9.24/6.72 (~xuntil6(s121)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10641, 29066])).
% 9.24/6.72 tff(29068,plain,
% 9.24/6.72 (~always3(s121)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8798, 29063])).
% 9.24/6.72 tff(29069,plain,
% 9.24/6.72 (~node4(s121)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10628, 22, 29068])).
% 9.24/6.72 tff(29070,plain,
% 9.24/6.72 (xuntil6(s121) | (~until5(s121))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10635, 36, 29069])).
% 9.24/6.72 tff(29071,plain,
% 9.24/6.72 (~until5(s121)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29070, 29067])).
% 9.24/6.72 tff(29072,plain,
% 9.24/6.72 (~xuntil6(s120)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10624, 29071])).
% 9.24/6.72 tff(29073,plain,
% 9.24/6.72 (~always3(s120)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8810, 29068])).
% 9.24/6.72 tff(29074,plain,
% 9.24/6.72 (~node4(s120)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10611, 22, 29073])).
% 9.24/6.72 tff(29075,plain,
% 9.24/6.72 (xuntil6(s120) | (~until5(s120))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10618, 36, 29074])).
% 9.24/6.72 tff(29076,plain,
% 9.24/6.72 (~until5(s120)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29075, 29072])).
% 9.24/6.72 tff(29077,plain,
% 9.24/6.72 (~xuntil6(s119)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10607, 29076])).
% 9.24/6.72 tff(29078,plain,
% 9.24/6.72 (~always3(s119)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8822, 29073])).
% 9.24/6.72 tff(29079,plain,
% 9.24/6.72 (~node4(s119)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10594, 22, 29078])).
% 9.24/6.72 tff(29080,plain,
% 9.24/6.72 (xuntil6(s119) | (~until5(s119))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10601, 36, 29079])).
% 9.24/6.72 tff(29081,plain,
% 9.24/6.72 (~until5(s119)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29080, 29077])).
% 9.24/6.72 tff(29082,plain,
% 9.24/6.72 (~xuntil6(s118)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10590, 29081])).
% 9.24/6.72 tff(29083,plain,
% 9.24/6.72 (~always3(s118)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8834, 29078])).
% 9.24/6.72 tff(29084,plain,
% 9.24/6.72 (~node4(s118)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10577, 22, 29083])).
% 9.24/6.72 tff(29085,plain,
% 9.24/6.72 (xuntil6(s118) | (~until5(s118))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10584, 36, 29084])).
% 9.24/6.72 tff(29086,plain,
% 9.24/6.72 (~until5(s118)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29085, 29082])).
% 9.24/6.72 tff(29087,plain,
% 9.24/6.72 (~xuntil6(s117)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10573, 29086])).
% 9.24/6.72 tff(29088,plain,
% 9.24/6.72 (~always3(s117)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8846, 29083])).
% 9.24/6.72 tff(29089,plain,
% 9.24/6.72 (~node4(s117)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10560, 22, 29088])).
% 9.24/6.72 tff(29090,plain,
% 9.24/6.72 (xuntil6(s117) | (~until5(s117))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10567, 36, 29089])).
% 9.24/6.72 tff(29091,plain,
% 9.24/6.72 (~until5(s117)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29090, 29087])).
% 9.24/6.72 tff(29092,plain,
% 9.24/6.72 (~xuntil6(s116)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10556, 29091])).
% 9.24/6.72 tff(29093,plain,
% 9.24/6.72 (~always3(s116)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8858, 29088])).
% 9.24/6.72 tff(29094,plain,
% 9.24/6.72 (~node4(s116)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10543, 22, 29093])).
% 9.24/6.72 tff(29095,plain,
% 9.24/6.72 (xuntil6(s116) | (~until5(s116))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10550, 36, 29094])).
% 9.24/6.72 tff(29096,plain,
% 9.24/6.72 (~until5(s116)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29095, 29092])).
% 9.24/6.72 tff(29097,plain,
% 9.24/6.72 (~xuntil6(s115)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10539, 29096])).
% 9.24/6.72 tff(29098,plain,
% 9.24/6.72 (~always3(s115)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8870, 29093])).
% 9.24/6.72 tff(29099,plain,
% 9.24/6.72 (~node4(s115)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10526, 22, 29098])).
% 9.24/6.72 tff(29100,plain,
% 9.24/6.72 (xuntil6(s115) | (~until5(s115))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10533, 36, 29099])).
% 9.24/6.72 tff(29101,plain,
% 9.24/6.72 (~until5(s115)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29100, 29097])).
% 9.24/6.72 tff(29102,plain,
% 9.24/6.72 (~xuntil6(s114)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10522, 29101])).
% 9.24/6.72 tff(29103,plain,
% 9.24/6.72 (~always3(s114)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8882, 29098])).
% 9.24/6.72 tff(29104,plain,
% 9.24/6.72 (~node4(s114)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10509, 22, 29103])).
% 9.24/6.72 tff(29105,plain,
% 9.24/6.72 (xuntil6(s114) | (~until5(s114))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10516, 36, 29104])).
% 9.24/6.72 tff(29106,plain,
% 9.24/6.72 (~until5(s114)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29105, 29102])).
% 9.24/6.72 tff(29107,plain,
% 9.24/6.72 (~xuntil6(s113)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10505, 29106])).
% 9.24/6.72 tff(29108,plain,
% 9.24/6.72 (~always3(s113)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8894, 29103])).
% 9.24/6.72 tff(29109,plain,
% 9.24/6.72 (~node4(s113)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10492, 22, 29108])).
% 9.24/6.72 tff(29110,plain,
% 9.24/6.72 (xuntil6(s113) | (~until5(s113))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10499, 36, 29109])).
% 9.24/6.72 tff(29111,plain,
% 9.24/6.72 (~until5(s113)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29110, 29107])).
% 9.24/6.72 tff(29112,plain,
% 9.24/6.72 (~xuntil6(s112)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10488, 29111])).
% 9.24/6.72 tff(29113,plain,
% 9.24/6.72 (~always3(s112)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8906, 29108])).
% 9.24/6.72 tff(29114,plain,
% 9.24/6.72 (~node4(s112)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10475, 22, 29113])).
% 9.24/6.72 tff(29115,plain,
% 9.24/6.72 (xuntil6(s112) | (~until5(s112))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10482, 36, 29114])).
% 9.24/6.72 tff(29116,plain,
% 9.24/6.72 (~until5(s112)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29115, 29112])).
% 9.24/6.72 tff(29117,plain,
% 9.24/6.72 (~xuntil6(s111)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10471, 29116])).
% 9.24/6.72 tff(29118,plain,
% 9.24/6.72 (~always3(s111)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8918, 29113])).
% 9.24/6.72 tff(29119,plain,
% 9.24/6.72 (~node4(s111)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10458, 22, 29118])).
% 9.24/6.72 tff(29120,plain,
% 9.24/6.72 (xuntil6(s111) | (~until5(s111))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10465, 36, 29119])).
% 9.24/6.72 tff(29121,plain,
% 9.24/6.72 (~until5(s111)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29120, 29117])).
% 9.24/6.72 tff(29122,plain,
% 9.24/6.72 (~xuntil6(s110)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10454, 29121])).
% 9.24/6.72 tff(29123,plain,
% 9.24/6.72 (~always3(s110)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8930, 29118])).
% 9.24/6.72 tff(29124,plain,
% 9.24/6.72 (~node4(s110)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10441, 22, 29123])).
% 9.24/6.72 tff(29125,plain,
% 9.24/6.72 (xuntil6(s110) | (~until5(s110))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10448, 36, 29124])).
% 9.24/6.72 tff(29126,plain,
% 9.24/6.72 (~until5(s110)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29125, 29122])).
% 9.24/6.72 tff(29127,plain,
% 9.24/6.72 (~xuntil6(s109)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10437, 29126])).
% 9.24/6.72 tff(29128,plain,
% 9.24/6.72 (~always3(s109)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8942, 29123])).
% 9.24/6.72 tff(29129,plain,
% 9.24/6.72 (~node4(s109)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10424, 22, 29128])).
% 9.24/6.72 tff(29130,plain,
% 9.24/6.72 (xuntil6(s109) | (~until5(s109))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10431, 36, 29129])).
% 9.24/6.72 tff(29131,plain,
% 9.24/6.72 (~until5(s109)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29130, 29127])).
% 9.24/6.72 tff(29132,plain,
% 9.24/6.72 (~xuntil6(s108)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10420, 29131])).
% 9.24/6.72 tff(29133,plain,
% 9.24/6.72 (~always3(s108)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8954, 29128])).
% 9.24/6.72 tff(29134,plain,
% 9.24/6.72 (~node4(s108)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10407, 22, 29133])).
% 9.24/6.72 tff(29135,plain,
% 9.24/6.72 (xuntil6(s108) | (~until5(s108))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10414, 36, 29134])).
% 9.24/6.72 tff(29136,plain,
% 9.24/6.72 (~until5(s108)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29135, 29132])).
% 9.24/6.72 tff(29137,plain,
% 9.24/6.72 (~xuntil6(s107)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10403, 29136])).
% 9.24/6.72 tff(29138,plain,
% 9.24/6.72 (~always3(s107)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8966, 29133])).
% 9.24/6.72 tff(29139,plain,
% 9.24/6.72 (~node4(s107)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10390, 22, 29138])).
% 9.24/6.72 tff(29140,plain,
% 9.24/6.72 (xuntil6(s107) | (~until5(s107))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10397, 36, 29139])).
% 9.24/6.72 tff(29141,plain,
% 9.24/6.72 (~until5(s107)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29140, 29137])).
% 9.24/6.72 tff(29142,plain,
% 9.24/6.72 (~xuntil6(s106)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10386, 29141])).
% 9.24/6.72 tff(29143,plain,
% 9.24/6.72 (~always3(s106)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8978, 29138])).
% 9.24/6.72 tff(29144,plain,
% 9.24/6.72 (~node4(s106)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10373, 22, 29143])).
% 9.24/6.72 tff(29145,plain,
% 9.24/6.72 (xuntil6(s106) | (~until5(s106))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[10380, 36, 29144])).
% 9.24/6.72 tff(29146,plain,
% 9.24/6.72 (~until5(s106)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29145, 29142])).
% 9.24/6.72 tff(29147,plain,
% 9.24/6.72 (~always3(s105)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[8990, 29143])).
% 9.24/6.72 tff(29148,plain,
% 9.24/6.72 (~always3(s104)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9002, 29147])).
% 9.24/6.72 tff(29149,plain,
% 9.24/6.72 (~always3(s103)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9014, 29148])).
% 9.24/6.72 tff(29150,plain,
% 9.24/6.72 (~always3(s102)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9026, 29149])).
% 9.24/6.72 tff(29151,plain,
% 9.24/6.72 (~always3(s101)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9038, 29150])).
% 9.24/6.72 tff(29152,plain,
% 9.24/6.72 (~always3(s100)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9050, 29151])).
% 9.24/6.72 tff(29153,plain,
% 9.24/6.72 (~always3(s99)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9062, 29152])).
% 9.24/6.72 tff(29154,plain,
% 9.24/6.72 (~always3(s98)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9074, 29153])).
% 9.24/6.72 tff(29155,plain,
% 9.24/6.72 (~always3(s97)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9086, 29154])).
% 9.24/6.72 tff(29156,plain,
% 9.24/6.72 (~always3(s96)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9098, 29155])).
% 9.24/6.72 tff(29157,plain,
% 9.24/6.72 (~always3(s95)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9110, 29156])).
% 9.24/6.72 tff(29158,plain,
% 9.24/6.72 (~always3(s94)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9122, 29157])).
% 9.24/6.72 tff(29159,plain,
% 9.24/6.72 (~always3(s93)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9134, 29158])).
% 9.24/6.72 tff(29160,plain,
% 9.24/6.72 (~always3(s92)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9146, 29159])).
% 9.24/6.72 tff(29161,plain,
% 9.24/6.72 (~always3(s91)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9158, 29160])).
% 9.24/6.72 tff(29162,plain,
% 9.24/6.72 (~always3(s90)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9170, 29161])).
% 9.24/6.72 tff(29163,plain,
% 9.24/6.72 (~always3(s89)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9182, 29162])).
% 9.24/6.72 tff(29164,plain,
% 9.24/6.72 (~always3(s88)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9194, 29163])).
% 9.24/6.72 tff(29165,plain,
% 9.24/6.72 (~always3(s87)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9206, 29164])).
% 9.24/6.72 tff(29166,plain,
% 9.24/6.72 (~always3(s86)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9218, 29165])).
% 9.24/6.72 tff(29167,plain,
% 9.24/6.72 (~always3(s85)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9230, 29166])).
% 9.24/6.72 tff(29168,plain,
% 9.24/6.72 (~always3(s84)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9242, 29167])).
% 9.24/6.72 tff(29169,plain,
% 9.24/6.72 (~always3(s83)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9254, 29168])).
% 9.24/6.72 tff(29170,plain,
% 9.24/6.72 (~always3(s82)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9266, 29169])).
% 9.24/6.72 tff(29171,plain,
% 9.24/6.72 (~always3(s81)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9278, 29170])).
% 9.24/6.72 tff(29172,plain,
% 9.24/6.72 (~always3(s80)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9290, 29171])).
% 9.24/6.72 tff(29173,plain,
% 9.24/6.72 (~always3(s79)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9302, 29172])).
% 9.24/6.72 tff(29174,plain,
% 9.24/6.72 (~always3(s78)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9314, 29173])).
% 9.24/6.72 tff(29175,plain,
% 9.24/6.72 (~always3(s77)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9326, 29174])).
% 9.24/6.72 tff(29176,plain,
% 9.24/6.72 (~always3(s76)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9338, 29175])).
% 9.24/6.72 tff(29177,plain,
% 9.24/6.72 (~always3(s75)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9350, 29176])).
% 9.24/6.72 tff(29178,plain,
% 9.24/6.72 (~always3(s74)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9362, 29177])).
% 9.24/6.72 tff(29179,plain,
% 9.24/6.72 (~always3(s73)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9374, 29178])).
% 9.24/6.72 tff(29180,plain,
% 9.24/6.72 (~always3(s72)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9386, 29179])).
% 9.24/6.72 tff(29181,plain,
% 9.24/6.72 (~always3(s71)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9398, 29180])).
% 9.24/6.72 tff(29182,plain,
% 9.24/6.72 (~always3(s70)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9410, 29181])).
% 9.24/6.72 tff(29183,plain,
% 9.24/6.72 (~always3(s69)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9422, 29182])).
% 9.24/6.72 tff(29184,plain,
% 9.24/6.72 (~always3(s68)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9434, 29183])).
% 9.24/6.72 tff(29185,plain,
% 9.24/6.72 (~always3(s67)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9446, 29184])).
% 9.24/6.72 tff(29186,plain,
% 9.24/6.72 (~always3(s66)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9458, 29185])).
% 9.24/6.72 tff(29187,plain,
% 9.24/6.72 (~always3(s65)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9470, 29186])).
% 9.24/6.72 tff(29188,plain,
% 9.24/6.72 (~always3(s64)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9482, 29187])).
% 9.24/6.72 tff(29189,plain,
% 9.24/6.72 (~always3(s63)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9494, 29188])).
% 9.24/6.72 tff(29190,plain,
% 9.24/6.72 (~always3(s62)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9506, 29189])).
% 9.24/6.72 tff(29191,plain,
% 9.24/6.72 (~always3(s61)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9518, 29190])).
% 9.24/6.72 tff(29192,plain,
% 9.24/6.72 (~always3(s60)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9530, 29191])).
% 9.24/6.72 tff(29193,plain,
% 9.24/6.72 (~always3(s59)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9542, 29192])).
% 9.24/6.72 tff(29194,plain,
% 9.24/6.72 (~always3(s58)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9558, 29193])).
% 9.24/6.72 tff(29195,plain,
% 9.24/6.72 (~always3(s57)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[5004, 29194])).
% 9.24/6.72 tff(29196,plain,
% 9.24/6.72 (~always3(s56)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4870, 29195])).
% 9.24/6.72 tff(29197,plain,
% 9.24/6.72 (~always3(s55)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4750, 29196])).
% 9.24/6.72 tff(29198,plain,
% 9.24/6.72 (~always3(s54)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4602, 29197])).
% 9.24/6.72 tff(29199,plain,
% 9.24/6.72 (~always3(s53)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4647, 29198])).
% 9.24/6.72 tff(29200,plain,
% 9.24/6.72 (~always3(s52)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4521, 29199])).
% 9.24/6.72 tff(29201,plain,
% 9.24/6.72 (~always3(s51)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4412, 29200])).
% 9.24/6.72 tff(29202,plain,
% 9.24/6.72 (~always3(s50)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4363, 29201])).
% 9.24/6.72 tff(29203,plain,
% 9.24/6.72 (~always3(s49)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3944, 29202])).
% 9.24/6.72 tff(29204,plain,
% 9.24/6.72 (~always3(s48)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3754, 29203])).
% 9.24/6.72 tff(29205,plain,
% 9.24/6.72 (~always3(s47)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3799, 29204])).
% 9.24/6.72 tff(29206,plain,
% 9.24/6.72 (~always3(s46)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3828, 29205])).
% 9.24/6.72 tff(29207,plain,
% 9.24/6.72 (~always3(s45)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3857, 29206])).
% 9.24/6.72 tff(29208,plain,
% 9.24/6.72 (~always3(s44)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3886, 29207])).
% 9.24/6.72 tff(29209,plain,
% 9.24/6.72 (~always3(s43)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3705, 29208])).
% 9.24/6.72 tff(29210,plain,
% 9.24/6.72 (~always3(s42)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3618, 29209])).
% 9.24/6.72 tff(29211,plain,
% 9.24/6.72 (~always3(s41)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3559, 29210])).
% 9.24/6.72 tff(29212,plain,
% 9.24/6.72 (~always3(s40)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3474, 29211])).
% 9.24/6.72 tff(29213,plain,
% 9.24/6.72 (~always3(s39)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3424, 29212])).
% 9.24/6.72 tff(29214,plain,
% 9.24/6.72 (~node4(s39)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3428, 22, 29213])).
% 9.24/6.72 tff(29215,plain,
% 9.24/6.72 (~always3(s38)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3233, 29213])).
% 9.24/6.72 tff(29216,plain,
% 9.24/6.72 (~node4(s38)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3219, 22, 29215])).
% 9.24/6.72 tff(29217,plain,
% 9.24/6.72 (~always3(s37)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[2932, 29215])).
% 9.24/6.72 tff(29218,plain,
% 9.24/6.72 (xuntil6(s37)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3202, 29217])).
% 9.24/6.72 tff(29219,plain,
% 9.24/6.72 (until5(s38)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3207, 29218])).
% 9.24/6.72 tff(29220,plain,
% 9.24/6.72 (xuntil6(s38) | node4(s38)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3214, 36, 29219])).
% 9.24/6.72 tff(29221,plain,
% 9.24/6.72 (xuntil6(s38)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29220, 29216])).
% 9.24/6.72 tff(29222,plain,
% 9.24/6.72 (until5(s39)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3410, 29221])).
% 9.24/6.72 tff(29223,plain,
% 9.24/6.72 (xuntil6(s39)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3460, 36, 29222, 29214])).
% 9.24/6.72 tff(29224,plain,
% 9.24/6.72 (until5(s40)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3445, 29223])).
% 9.24/6.72 tff(29225,plain,
% 9.24/6.72 (~node4(s40)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3432, 22, 29212])).
% 9.24/6.72 tff(29226,plain,
% 9.24/6.72 (xuntil6(s40) | (~until5(s40))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3439, 36, 29225])).
% 9.24/6.72 tff(29227,plain,
% 9.24/6.72 (xuntil6(s40)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29226, 29224])).
% 9.24/6.72 tff(29228,plain,
% 9.24/6.72 (until5(s41)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3545, 29227])).
% 9.24/6.72 tff(29229,plain,
% 9.24/6.72 (~node4(s41)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3563, 22, 29211])).
% 9.24/6.72 tff(29230,plain,
% 9.24/6.72 (xuntil6(s41) | (~until5(s41))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3587, 36, 29229])).
% 9.24/6.72 tff(29231,plain,
% 9.24/6.72 (xuntil6(s41)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29230, 29228])).
% 9.24/6.72 tff(29232,plain,
% 9.24/6.72 (until5(s42)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3580, 29231])).
% 9.24/6.72 tff(29233,plain,
% 9.24/6.72 (~node4(s42)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3567, 22, 29210])).
% 9.24/6.72 tff(29234,plain,
% 9.24/6.72 (xuntil6(s42) | (~until5(s42))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3574, 36, 29233])).
% 9.24/6.72 tff(29235,plain,
% 9.24/6.72 (xuntil6(s42)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29234, 29232])).
% 9.24/6.72 tff(29236,plain,
% 9.24/6.72 (until5(s43)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3684, 29235])).
% 9.24/6.72 tff(29237,plain,
% 9.24/6.72 (~node4(s43)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3693, 22, 29209])).
% 9.24/6.72 tff(29238,plain,
% 9.24/6.72 (xuntil6(s43) | (~until5(s43))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3734, 36, 29237])).
% 9.24/6.72 tff(29239,plain,
% 9.24/6.72 (xuntil6(s43)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29238, 29236])).
% 9.24/6.72 tff(29240,plain,
% 9.24/6.72 (until5(s44)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3740, 29239])).
% 9.24/6.72 tff(29241,plain,
% 9.24/6.72 (~node4(s44)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3890, 22, 29208])).
% 9.24/6.72 tff(29242,plain,
% 9.24/6.72 (xuntil6(s44) | (~until5(s44))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3897, 36, 29241])).
% 9.24/6.72 tff(29243,plain,
% 9.24/6.72 (xuntil6(s44)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29242, 29240])).
% 9.24/6.72 tff(29244,plain,
% 9.24/6.72 (until5(s45)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3877, 29243])).
% 9.24/6.72 tff(29245,plain,
% 9.24/6.72 (~node4(s45)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3861, 22, 29207])).
% 9.24/6.72 tff(29246,plain,
% 9.24/6.72 (xuntil6(s45) | (~until5(s45))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3868, 36, 29245])).
% 9.24/6.72 tff(29247,plain,
% 9.24/6.72 (xuntil6(s45)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29246, 29244])).
% 9.24/6.72 tff(29248,plain,
% 9.24/6.72 (until5(s46)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3848, 29247])).
% 9.24/6.72 tff(29249,plain,
% 9.24/6.72 (~node4(s46)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3832, 22, 29206])).
% 9.24/6.72 tff(29250,plain,
% 9.24/6.72 (xuntil6(s46) | (~until5(s46))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3839, 36, 29249])).
% 9.24/6.72 tff(29251,plain,
% 9.24/6.72 (xuntil6(s46)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29250, 29248])).
% 9.24/6.72 tff(29252,plain,
% 9.24/6.72 (until5(s47)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3819, 29251])).
% 9.24/6.72 tff(29253,plain,
% 9.24/6.72 (~node4(s47)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3803, 22, 29205])).
% 9.24/6.72 tff(29254,plain,
% 9.24/6.72 (xuntil6(s47) | (~until5(s47))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3810, 36, 29253])).
% 9.24/6.72 tff(29255,plain,
% 9.24/6.72 (xuntil6(s47)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29254, 29252])).
% 9.24/6.72 tff(29256,plain,
% 9.24/6.72 (until5(s48)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3790, 29255])).
% 9.24/6.72 tff(29257,plain,
% 9.24/6.72 (~node4(s48)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3758, 22, 29204])).
% 9.24/6.72 tff(29258,plain,
% 9.24/6.72 (xuntil6(s48) | (~until5(s48))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3782, 36, 29257])).
% 9.24/6.72 tff(29259,plain,
% 9.24/6.72 (xuntil6(s48)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29258, 29256])).
% 9.24/6.72 tff(29260,plain,
% 9.24/6.72 (until5(s49)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3775, 29259])).
% 9.24/6.72 tff(29261,plain,
% 9.24/6.72 (~node4(s49)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3762, 22, 29203])).
% 9.24/6.72 tff(29262,plain,
% 9.24/6.72 (xuntil6(s49) | (~until5(s49))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[3769, 36, 29261])).
% 9.24/6.72 tff(29263,plain,
% 9.24/6.72 (xuntil6(s49)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29262, 29260])).
% 9.24/6.72 tff(29264,plain,
% 9.24/6.72 (until5(s50)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4342, 29263])).
% 9.24/6.72 tff(29265,plain,
% 9.24/6.72 (~node4(s50)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4351, 22, 29202])).
% 9.24/6.72 tff(29266,plain,
% 9.24/6.72 (xuntil6(s50) | (~until5(s50))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4392, 36, 29265])).
% 9.24/6.72 tff(29267,plain,
% 9.24/6.72 (xuntil6(s50)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29266, 29264])).
% 9.24/6.72 tff(29268,plain,
% 9.24/6.72 (until5(s51)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4398, 29267])).
% 9.24/6.72 tff(29269,plain,
% 9.24/6.72 (~node4(s51)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4416, 22, 29201])).
% 9.24/6.72 tff(29270,plain,
% 9.24/6.72 (xuntil6(s51) | (~until5(s51))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4440, 36, 29269])).
% 9.24/6.72 tff(29271,plain,
% 9.24/6.72 (xuntil6(s51)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29270, 29268])).
% 9.24/6.72 tff(29272,plain,
% 9.24/6.72 (until5(s52)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4433, 29271])).
% 9.24/6.72 tff(29273,plain,
% 9.24/6.72 (~node4(s52)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4420, 22, 29200])).
% 9.24/6.72 tff(29274,plain,
% 9.24/6.72 (xuntil6(s52) | (~until5(s52))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4427, 36, 29273])).
% 9.24/6.72 tff(29275,plain,
% 9.24/6.72 (xuntil6(s52)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29274, 29272])).
% 9.24/6.72 tff(29276,plain,
% 9.24/6.72 (until5(s53)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4587, 29275])).
% 9.24/6.72 tff(29277,plain,
% 9.24/6.72 (~node4(s53)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4651, 22, 29199])).
% 9.24/6.72 tff(29278,plain,
% 9.24/6.72 (xuntil6(s53) | (~until5(s53))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4658, 36, 29277])).
% 9.24/6.72 tff(29279,plain,
% 9.24/6.72 (xuntil6(s53)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29278, 29276])).
% 9.24/6.72 tff(29280,plain,
% 9.24/6.72 (until5(s54)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4638, 29279])).
% 9.24/6.72 tff(29281,plain,
% 9.24/6.72 (~node4(s54)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4606, 22, 29198])).
% 9.24/6.72 tff(29282,plain,
% 9.24/6.72 (xuntil6(s54) | (~until5(s54))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4630, 36, 29281])).
% 9.24/6.72 tff(29283,plain,
% 9.24/6.72 (xuntil6(s54)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29282, 29280])).
% 9.24/6.72 tff(29284,plain,
% 9.24/6.72 (until5(s55)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4623, 29283])).
% 9.24/6.72 tff(29285,plain,
% 9.24/6.72 (~node4(s55)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4610, 22, 29197])).
% 9.24/6.72 tff(29286,plain,
% 9.24/6.72 (xuntil6(s55) | (~until5(s55))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4617, 36, 29285])).
% 9.24/6.72 tff(29287,plain,
% 9.24/6.72 (xuntil6(s55)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29286, 29284])).
% 9.24/6.72 tff(29288,plain,
% 9.24/6.72 (until5(s56)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4856, 29287])).
% 9.24/6.72 tff(29289,plain,
% 9.24/6.72 (~node4(s56)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4874, 22, 29196])).
% 9.24/6.72 tff(29290,plain,
% 9.24/6.72 (xuntil6(s56) | (~until5(s56))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4898, 36, 29289])).
% 9.24/6.72 tff(29291,plain,
% 9.24/6.72 (xuntil6(s56)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29290, 29288])).
% 9.24/6.72 tff(29292,plain,
% 9.24/6.72 (until5(s57)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4891, 29291])).
% 9.24/6.72 tff(29293,plain,
% 9.24/6.72 (~node4(s57)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4878, 22, 29195])).
% 9.24/6.72 tff(29294,plain,
% 9.24/6.72 (xuntil6(s57) | (~until5(s57))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[4885, 36, 29293])).
% 9.24/6.72 tff(29295,plain,
% 9.24/6.72 (xuntil6(s57)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29294, 29292])).
% 9.24/6.72 tff(29296,plain,
% 9.24/6.72 (until5(s58)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[5070, 29295])).
% 9.24/6.72 tff(29297,plain,
% 9.24/6.72 (~node4(s58)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9562, 22, 29194])).
% 9.24/6.72 tff(29298,plain,
% 9.24/6.72 (xuntil6(s58) | (~until5(s58))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9569, 36, 29297])).
% 9.24/6.72 tff(29299,plain,
% 9.24/6.72 (xuntil6(s58)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29298, 29296])).
% 9.24/6.72 tff(29300,plain,
% 9.24/6.72 (until5(s59)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9575, 29299])).
% 9.24/6.72 tff(29301,plain,
% 9.24/6.72 (~node4(s59)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9546, 22, 29193])).
% 9.24/6.72 tff(29302,plain,
% 9.24/6.72 (xuntil6(s59) | (~until5(s59))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9582, 36, 29301])).
% 9.24/6.72 tff(29303,plain,
% 9.24/6.72 (xuntil6(s59)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29302, 29300])).
% 9.24/6.72 tff(29304,plain,
% 9.24/6.72 (until5(s60)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9587, 29303])).
% 9.24/6.72 tff(29305,plain,
% 9.24/6.72 (~node4(s60)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9591, 22, 29192])).
% 9.24/6.72 tff(29306,plain,
% 9.24/6.72 (xuntil6(s60) | (~until5(s60))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9598, 36, 29305])).
% 9.24/6.72 tff(29307,plain,
% 9.24/6.72 (xuntil6(s60)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29306, 29304])).
% 9.24/6.72 tff(29308,plain,
% 9.24/6.72 (until5(s61)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9604, 29307])).
% 9.24/6.72 tff(29309,plain,
% 9.24/6.72 (~node4(s61)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9608, 22, 29191])).
% 9.24/6.72 tff(29310,plain,
% 9.24/6.72 (xuntil6(s61) | (~until5(s61))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9615, 36, 29309])).
% 9.24/6.72 tff(29311,plain,
% 9.24/6.72 (xuntil6(s61)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29310, 29308])).
% 9.24/6.72 tff(29312,plain,
% 9.24/6.72 (until5(s62)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9621, 29311])).
% 9.24/6.72 tff(29313,plain,
% 9.24/6.72 (~node4(s62)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9625, 22, 29190])).
% 9.24/6.72 tff(29314,plain,
% 9.24/6.72 (xuntil6(s62) | (~until5(s62))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9632, 36, 29313])).
% 9.24/6.72 tff(29315,plain,
% 9.24/6.72 (xuntil6(s62)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[29314, 29312])).
% 9.24/6.72 tff(29316,plain,
% 9.24/6.72 (until5(s63)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9638, 29315])).
% 9.24/6.72 tff(29317,plain,
% 9.24/6.72 (~node4(s63)),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9642, 22, 29189])).
% 9.24/6.72 tff(29318,plain,
% 9.24/6.72 (xuntil6(s63) | (~until5(s63))),
% 9.24/6.72 inference(unit_resolution,[status(thm)],[9649, 36, 29317])).
% 9.24/6.72 tff(29319,plain,
% 9.24/6.72 (xuntil6(s63)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29318, 29316])).
% 9.24/6.73 tff(29320,plain,
% 9.24/6.73 (until5(s64)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9655, 29319])).
% 9.24/6.73 tff(29321,plain,
% 9.24/6.73 (~node4(s64)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9659, 22, 29188])).
% 9.24/6.73 tff(29322,plain,
% 9.24/6.73 (xuntil6(s64) | (~until5(s64))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9666, 36, 29321])).
% 9.24/6.73 tff(29323,plain,
% 9.24/6.73 (xuntil6(s64)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29322, 29320])).
% 9.24/6.73 tff(29324,plain,
% 9.24/6.73 (until5(s65)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9672, 29323])).
% 9.24/6.73 tff(29325,plain,
% 9.24/6.73 (~node4(s65)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9676, 22, 29187])).
% 9.24/6.73 tff(29326,plain,
% 9.24/6.73 (xuntil6(s65) | (~until5(s65))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9683, 36, 29325])).
% 9.24/6.73 tff(29327,plain,
% 9.24/6.73 (xuntil6(s65)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29326, 29324])).
% 9.24/6.73 tff(29328,plain,
% 9.24/6.73 (until5(s66)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9689, 29327])).
% 9.24/6.73 tff(29329,plain,
% 9.24/6.73 (~node4(s66)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9693, 22, 29186])).
% 9.24/6.73 tff(29330,plain,
% 9.24/6.73 (xuntil6(s66) | (~until5(s66))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9700, 36, 29329])).
% 9.24/6.73 tff(29331,plain,
% 9.24/6.73 (xuntil6(s66)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29330, 29328])).
% 9.24/6.73 tff(29332,plain,
% 9.24/6.73 (until5(s67)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9706, 29331])).
% 9.24/6.73 tff(29333,plain,
% 9.24/6.73 (~node4(s67)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9710, 22, 29185])).
% 9.24/6.73 tff(29334,plain,
% 9.24/6.73 (xuntil6(s67) | (~until5(s67))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9717, 36, 29333])).
% 9.24/6.73 tff(29335,plain,
% 9.24/6.73 (xuntil6(s67)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29334, 29332])).
% 9.24/6.73 tff(29336,plain,
% 9.24/6.73 (until5(s68)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9723, 29335])).
% 9.24/6.73 tff(29337,plain,
% 9.24/6.73 (~node4(s68)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9727, 22, 29184])).
% 9.24/6.73 tff(29338,plain,
% 9.24/6.73 (xuntil6(s68) | (~until5(s68))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9734, 36, 29337])).
% 9.24/6.73 tff(29339,plain,
% 9.24/6.73 (xuntil6(s68)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29338, 29336])).
% 9.24/6.73 tff(29340,plain,
% 9.24/6.73 (until5(s69)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9740, 29339])).
% 9.24/6.73 tff(29341,plain,
% 9.24/6.73 (~node4(s69)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9744, 22, 29183])).
% 9.24/6.73 tff(29342,plain,
% 9.24/6.73 (xuntil6(s69) | (~until5(s69))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9751, 36, 29341])).
% 9.24/6.73 tff(29343,plain,
% 9.24/6.73 (xuntil6(s69)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29342, 29340])).
% 9.24/6.73 tff(29344,plain,
% 9.24/6.73 (until5(s70)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9757, 29343])).
% 9.24/6.73 tff(29345,plain,
% 9.24/6.73 (~node4(s70)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9761, 22, 29182])).
% 9.24/6.73 tff(29346,plain,
% 9.24/6.73 (xuntil6(s70) | (~until5(s70))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9768, 36, 29345])).
% 9.24/6.73 tff(29347,plain,
% 9.24/6.73 (xuntil6(s70)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29346, 29344])).
% 9.24/6.73 tff(29348,plain,
% 9.24/6.73 (until5(s71)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9774, 29347])).
% 9.24/6.73 tff(29349,plain,
% 9.24/6.73 (~node4(s71)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9778, 22, 29181])).
% 9.24/6.73 tff(29350,plain,
% 9.24/6.73 (xuntil6(s71) | (~until5(s71))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9785, 36, 29349])).
% 9.24/6.73 tff(29351,plain,
% 9.24/6.73 (xuntil6(s71)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29350, 29348])).
% 9.24/6.73 tff(29352,plain,
% 9.24/6.73 (until5(s72)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9791, 29351])).
% 9.24/6.73 tff(29353,plain,
% 9.24/6.73 (~node4(s72)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9795, 22, 29180])).
% 9.24/6.73 tff(29354,plain,
% 9.24/6.73 (xuntil6(s72) | (~until5(s72))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9802, 36, 29353])).
% 9.24/6.73 tff(29355,plain,
% 9.24/6.73 (xuntil6(s72)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29354, 29352])).
% 9.24/6.73 tff(29356,plain,
% 9.24/6.73 (until5(s73)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9808, 29355])).
% 9.24/6.73 tff(29357,plain,
% 9.24/6.73 (~node4(s73)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9812, 22, 29179])).
% 9.24/6.73 tff(29358,plain,
% 9.24/6.73 (xuntil6(s73) | (~until5(s73))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9819, 36, 29357])).
% 9.24/6.73 tff(29359,plain,
% 9.24/6.73 (xuntil6(s73)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29358, 29356])).
% 9.24/6.73 tff(29360,plain,
% 9.24/6.73 (until5(s74)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9825, 29359])).
% 9.24/6.73 tff(29361,plain,
% 9.24/6.73 (~node4(s74)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9829, 22, 29178])).
% 9.24/6.73 tff(29362,plain,
% 9.24/6.73 (xuntil6(s74) | (~until5(s74))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9836, 36, 29361])).
% 9.24/6.73 tff(29363,plain,
% 9.24/6.73 (xuntil6(s74)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29362, 29360])).
% 9.24/6.73 tff(29364,plain,
% 9.24/6.73 (until5(s75)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9842, 29363])).
% 9.24/6.73 tff(29365,plain,
% 9.24/6.73 (~node4(s75)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9846, 22, 29177])).
% 9.24/6.73 tff(29366,plain,
% 9.24/6.73 (xuntil6(s75) | (~until5(s75))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9853, 36, 29365])).
% 9.24/6.73 tff(29367,plain,
% 9.24/6.73 (xuntil6(s75)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29366, 29364])).
% 9.24/6.73 tff(29368,plain,
% 9.24/6.73 (until5(s76)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9859, 29367])).
% 9.24/6.73 tff(29369,plain,
% 9.24/6.73 (~node4(s76)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9863, 22, 29176])).
% 9.24/6.73 tff(29370,plain,
% 9.24/6.73 (xuntil6(s76) | (~until5(s76))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9870, 36, 29369])).
% 9.24/6.73 tff(29371,plain,
% 9.24/6.73 (xuntil6(s76)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29370, 29368])).
% 9.24/6.73 tff(29372,plain,
% 9.24/6.73 (until5(s77)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9876, 29371])).
% 9.24/6.73 tff(29373,plain,
% 9.24/6.73 (~node4(s77)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9880, 22, 29175])).
% 9.24/6.73 tff(29374,plain,
% 9.24/6.73 (xuntil6(s77) | (~until5(s77))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9887, 36, 29373])).
% 9.24/6.73 tff(29375,plain,
% 9.24/6.73 (xuntil6(s77)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29374, 29372])).
% 9.24/6.73 tff(29376,plain,
% 9.24/6.73 (until5(s78)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9893, 29375])).
% 9.24/6.73 tff(29377,plain,
% 9.24/6.73 (~node4(s78)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9897, 22, 29174])).
% 9.24/6.73 tff(29378,plain,
% 9.24/6.73 (xuntil6(s78) | (~until5(s78))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9904, 36, 29377])).
% 9.24/6.73 tff(29379,plain,
% 9.24/6.73 (xuntil6(s78)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29378, 29376])).
% 9.24/6.73 tff(29380,plain,
% 9.24/6.73 (until5(s79)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9910, 29379])).
% 9.24/6.73 tff(29381,plain,
% 9.24/6.73 (~node4(s79)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9914, 22, 29173])).
% 9.24/6.73 tff(29382,plain,
% 9.24/6.73 (xuntil6(s79) | (~until5(s79))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9921, 36, 29381])).
% 9.24/6.73 tff(29383,plain,
% 9.24/6.73 (xuntil6(s79)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29382, 29380])).
% 9.24/6.73 tff(29384,plain,
% 9.24/6.73 (until5(s80)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9927, 29383])).
% 9.24/6.73 tff(29385,plain,
% 9.24/6.73 (~node4(s80)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9931, 22, 29172])).
% 9.24/6.73 tff(29386,plain,
% 9.24/6.73 (xuntil6(s80) | (~until5(s80))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9938, 36, 29385])).
% 9.24/6.73 tff(29387,plain,
% 9.24/6.73 (xuntil6(s80)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29386, 29384])).
% 9.24/6.73 tff(29388,plain,
% 9.24/6.73 (until5(s81)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9944, 29387])).
% 9.24/6.73 tff(29389,plain,
% 9.24/6.73 (~node4(s81)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9948, 22, 29171])).
% 9.24/6.73 tff(29390,plain,
% 9.24/6.73 (xuntil6(s81) | (~until5(s81))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9955, 36, 29389])).
% 9.24/6.73 tff(29391,plain,
% 9.24/6.73 (xuntil6(s81)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29390, 29388])).
% 9.24/6.73 tff(29392,plain,
% 9.24/6.73 (until5(s82)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9961, 29391])).
% 9.24/6.73 tff(29393,plain,
% 9.24/6.73 (~node4(s82)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9965, 22, 29170])).
% 9.24/6.73 tff(29394,plain,
% 9.24/6.73 (xuntil6(s82) | (~until5(s82))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9972, 36, 29393])).
% 9.24/6.73 tff(29395,plain,
% 9.24/6.73 (xuntil6(s82)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29394, 29392])).
% 9.24/6.73 tff(29396,plain,
% 9.24/6.73 (until5(s83)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9978, 29395])).
% 9.24/6.73 tff(29397,plain,
% 9.24/6.73 (~node4(s83)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9982, 22, 29169])).
% 9.24/6.73 tff(29398,plain,
% 9.24/6.73 (xuntil6(s83) | (~until5(s83))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9989, 36, 29397])).
% 9.24/6.73 tff(29399,plain,
% 9.24/6.73 (xuntil6(s83)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29398, 29396])).
% 9.24/6.73 tff(29400,plain,
% 9.24/6.73 (until5(s84)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9995, 29399])).
% 9.24/6.73 tff(29401,plain,
% 9.24/6.73 (~node4(s84)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[9999, 22, 29168])).
% 9.24/6.73 tff(29402,plain,
% 9.24/6.73 (xuntil6(s84) | (~until5(s84))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10006, 36, 29401])).
% 9.24/6.73 tff(29403,plain,
% 9.24/6.73 (xuntil6(s84)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29402, 29400])).
% 9.24/6.73 tff(29404,plain,
% 9.24/6.73 (until5(s85)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10012, 29403])).
% 9.24/6.73 tff(29405,plain,
% 9.24/6.73 (~node4(s85)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10016, 22, 29167])).
% 9.24/6.73 tff(29406,plain,
% 9.24/6.73 (xuntil6(s85) | (~until5(s85))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10023, 36, 29405])).
% 9.24/6.73 tff(29407,plain,
% 9.24/6.73 (xuntil6(s85)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29406, 29404])).
% 9.24/6.73 tff(29408,plain,
% 9.24/6.73 (until5(s86)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10029, 29407])).
% 9.24/6.73 tff(29409,plain,
% 9.24/6.73 (~node4(s86)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10033, 22, 29166])).
% 9.24/6.73 tff(29410,plain,
% 9.24/6.73 (xuntil6(s86) | (~until5(s86))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10040, 36, 29409])).
% 9.24/6.73 tff(29411,plain,
% 9.24/6.73 (xuntil6(s86)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29410, 29408])).
% 9.24/6.73 tff(29412,plain,
% 9.24/6.73 (until5(s87)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10046, 29411])).
% 9.24/6.73 tff(29413,plain,
% 9.24/6.73 (~node4(s87)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10050, 22, 29165])).
% 9.24/6.73 tff(29414,plain,
% 9.24/6.73 (xuntil6(s87) | (~until5(s87))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10057, 36, 29413])).
% 9.24/6.73 tff(29415,plain,
% 9.24/6.73 (xuntil6(s87)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29414, 29412])).
% 9.24/6.73 tff(29416,plain,
% 9.24/6.73 (until5(s88)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10063, 29415])).
% 9.24/6.73 tff(29417,plain,
% 9.24/6.73 (~node4(s88)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10067, 22, 29164])).
% 9.24/6.73 tff(29418,plain,
% 9.24/6.73 (xuntil6(s88) | (~until5(s88))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10074, 36, 29417])).
% 9.24/6.73 tff(29419,plain,
% 9.24/6.73 (xuntil6(s88)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29418, 29416])).
% 9.24/6.73 tff(29420,plain,
% 9.24/6.73 (until5(s89)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10080, 29419])).
% 9.24/6.73 tff(29421,plain,
% 9.24/6.73 (~node4(s89)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10084, 22, 29163])).
% 9.24/6.73 tff(29422,plain,
% 9.24/6.73 (xuntil6(s89) | (~until5(s89))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10091, 36, 29421])).
% 9.24/6.73 tff(29423,plain,
% 9.24/6.73 (xuntil6(s89)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29422, 29420])).
% 9.24/6.73 tff(29424,plain,
% 9.24/6.73 (until5(s90)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10097, 29423])).
% 9.24/6.73 tff(29425,plain,
% 9.24/6.73 (~node4(s90)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10101, 22, 29162])).
% 9.24/6.73 tff(29426,plain,
% 9.24/6.73 (xuntil6(s90) | (~until5(s90))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10108, 36, 29425])).
% 9.24/6.73 tff(29427,plain,
% 9.24/6.73 (xuntil6(s90)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29426, 29424])).
% 9.24/6.73 tff(29428,plain,
% 9.24/6.73 (until5(s91)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10114, 29427])).
% 9.24/6.73 tff(29429,plain,
% 9.24/6.73 (~node4(s91)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10118, 22, 29161])).
% 9.24/6.73 tff(29430,plain,
% 9.24/6.73 (xuntil6(s91) | (~until5(s91))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10125, 36, 29429])).
% 9.24/6.73 tff(29431,plain,
% 9.24/6.73 (xuntil6(s91)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29430, 29428])).
% 9.24/6.73 tff(29432,plain,
% 9.24/6.73 (until5(s92)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10131, 29431])).
% 9.24/6.73 tff(29433,plain,
% 9.24/6.73 (~node4(s92)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10135, 22, 29160])).
% 9.24/6.73 tff(29434,plain,
% 9.24/6.73 (xuntil6(s92) | (~until5(s92))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10142, 36, 29433])).
% 9.24/6.73 tff(29435,plain,
% 9.24/6.73 (xuntil6(s92)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29434, 29432])).
% 9.24/6.73 tff(29436,plain,
% 9.24/6.73 (until5(s93)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10148, 29435])).
% 9.24/6.73 tff(29437,plain,
% 9.24/6.73 (~node4(s93)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10152, 22, 29159])).
% 9.24/6.73 tff(29438,plain,
% 9.24/6.73 (xuntil6(s93) | (~until5(s93))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10159, 36, 29437])).
% 9.24/6.73 tff(29439,plain,
% 9.24/6.73 (xuntil6(s93)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29438, 29436])).
% 9.24/6.73 tff(29440,plain,
% 9.24/6.73 (until5(s94)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10165, 29439])).
% 9.24/6.73 tff(29441,plain,
% 9.24/6.73 (~node4(s94)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10169, 22, 29158])).
% 9.24/6.73 tff(29442,plain,
% 9.24/6.73 (xuntil6(s94) | (~until5(s94))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10176, 36, 29441])).
% 9.24/6.73 tff(29443,plain,
% 9.24/6.73 (xuntil6(s94)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29442, 29440])).
% 9.24/6.73 tff(29444,plain,
% 9.24/6.73 (until5(s95)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10182, 29443])).
% 9.24/6.73 tff(29445,plain,
% 9.24/6.73 (~node4(s95)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10186, 22, 29157])).
% 9.24/6.73 tff(29446,plain,
% 9.24/6.73 (xuntil6(s95) | (~until5(s95))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10193, 36, 29445])).
% 9.24/6.73 tff(29447,plain,
% 9.24/6.73 (xuntil6(s95)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29446, 29444])).
% 9.24/6.73 tff(29448,plain,
% 9.24/6.73 (until5(s96)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10199, 29447])).
% 9.24/6.73 tff(29449,plain,
% 9.24/6.73 (~node4(s96)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10203, 22, 29156])).
% 9.24/6.73 tff(29450,plain,
% 9.24/6.73 (xuntil6(s96) | (~until5(s96))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10210, 36, 29449])).
% 9.24/6.73 tff(29451,plain,
% 9.24/6.73 (xuntil6(s96)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29450, 29448])).
% 9.24/6.73 tff(29452,plain,
% 9.24/6.73 (until5(s97)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10216, 29451])).
% 9.24/6.73 tff(29453,plain,
% 9.24/6.73 (~node4(s97)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10220, 22, 29155])).
% 9.24/6.73 tff(29454,plain,
% 9.24/6.73 (xuntil6(s97) | (~until5(s97))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10227, 36, 29453])).
% 9.24/6.73 tff(29455,plain,
% 9.24/6.73 (xuntil6(s97)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29454, 29452])).
% 9.24/6.73 tff(29456,plain,
% 9.24/6.73 (until5(s98)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10233, 29455])).
% 9.24/6.73 tff(29457,plain,
% 9.24/6.73 (~node4(s98)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10237, 22, 29154])).
% 9.24/6.73 tff(29458,plain,
% 9.24/6.73 (xuntil6(s98) | (~until5(s98))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10244, 36, 29457])).
% 9.24/6.73 tff(29459,plain,
% 9.24/6.73 (xuntil6(s98)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29458, 29456])).
% 9.24/6.73 tff(29460,plain,
% 9.24/6.73 (until5(s99)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10250, 29459])).
% 9.24/6.73 tff(29461,plain,
% 9.24/6.73 (~node4(s99)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10254, 22, 29153])).
% 9.24/6.73 tff(29462,plain,
% 9.24/6.73 (xuntil6(s99) | (~until5(s99))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10261, 36, 29461])).
% 9.24/6.73 tff(29463,plain,
% 9.24/6.73 (xuntil6(s99)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29462, 29460])).
% 9.24/6.73 tff(29464,plain,
% 9.24/6.73 (until5(s100)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10267, 29463])).
% 9.24/6.73 tff(29465,plain,
% 9.24/6.73 (~node4(s100)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10271, 22, 29152])).
% 9.24/6.73 tff(29466,plain,
% 9.24/6.73 (xuntil6(s100) | (~until5(s100))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10278, 36, 29465])).
% 9.24/6.73 tff(29467,plain,
% 9.24/6.73 (xuntil6(s100)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29466, 29464])).
% 9.24/6.73 tff(29468,plain,
% 9.24/6.73 (until5(s101)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10284, 29467])).
% 9.24/6.73 tff(29469,plain,
% 9.24/6.73 (~node4(s101)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10288, 22, 29151])).
% 9.24/6.73 tff(29470,plain,
% 9.24/6.73 (xuntil6(s101) | (~until5(s101))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10295, 36, 29469])).
% 9.24/6.73 tff(29471,plain,
% 9.24/6.73 (xuntil6(s101)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29470, 29468])).
% 9.24/6.73 tff(29472,plain,
% 9.24/6.73 (until5(s102)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10301, 29471])).
% 9.24/6.73 tff(29473,plain,
% 9.24/6.73 (~node4(s102)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10305, 22, 29150])).
% 9.24/6.73 tff(29474,plain,
% 9.24/6.73 (xuntil6(s102) | (~until5(s102))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10312, 36, 29473])).
% 9.24/6.73 tff(29475,plain,
% 9.24/6.73 (xuntil6(s102)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29474, 29472])).
% 9.24/6.73 tff(29476,plain,
% 9.24/6.73 (until5(s103)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10318, 29475])).
% 9.24/6.73 tff(29477,plain,
% 9.24/6.73 (~node4(s103)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10322, 22, 29149])).
% 9.24/6.73 tff(29478,plain,
% 9.24/6.73 (xuntil6(s103) | (~until5(s103))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10329, 36, 29477])).
% 9.24/6.73 tff(29479,plain,
% 9.24/6.73 (xuntil6(s103)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29478, 29476])).
% 9.24/6.73 tff(29480,plain,
% 9.24/6.73 (until5(s104)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10335, 29479])).
% 9.24/6.73 tff(29481,plain,
% 9.24/6.73 (~node4(s104)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10339, 22, 29148])).
% 9.24/6.73 tff(29482,plain,
% 9.24/6.73 (xuntil6(s104) | (~until5(s104))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10346, 36, 29481])).
% 9.24/6.73 tff(29483,plain,
% 9.24/6.73 (xuntil6(s104)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29482, 29480])).
% 9.24/6.73 tff(29484,plain,
% 9.24/6.73 (until5(s105)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10352, 29483])).
% 9.24/6.73 tff(29485,plain,
% 9.24/6.73 (~node4(s105)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10356, 22, 29147])).
% 9.24/6.73 tff(29486,plain,
% 9.24/6.73 (xuntil6(s105) | (~until5(s105))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10363, 36, 29485])).
% 9.24/6.73 tff(29487,plain,
% 9.24/6.73 (xuntil6(s105)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29486, 29484])).
% 9.24/6.73 tff(29488,plain,
% 9.24/6.73 ($false),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[10369, 29487, 29146])).
% 9.24/6.73 tff(29489,plain,(always3(s173) | xuntil6(s173)), inference(lemma,lemma(discharge,[]))).
% 9.24/6.73 tff(29490,plain,
% 9.24/6.73 (always3(s173)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29489, 28808])).
% 9.24/6.73 tff(29491,plain,
% 9.24/6.73 (always3(s174)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7550, 29490])).
% 9.24/6.73 tff(29492,plain,
% 9.24/6.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s174)) | (~m_main_v_state(s174, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s174)) | (~m_main_v_state(s174, c_busy)))),
% 9.24/6.73 inference(rewrite,[status(thm)],[])).
% 9.24/6.73 tff(29493,plain,
% 9.24/6.73 (((~m_main_v_state(s174, c_busy)) | (~always3(s174))) <=> ((~always3(s174)) | (~m_main_v_state(s174, c_busy)))),
% 9.24/6.73 inference(rewrite,[status(thm)],[])).
% 9.24/6.73 tff(29494,plain,
% 9.24/6.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s174, c_busy)) | (~always3(s174)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s174)) | (~m_main_v_state(s174, c_busy))))),
% 9.24/6.73 inference(monotonicity,[status(thm)],[29493])).
% 9.24/6.73 tff(29495,plain,
% 9.24/6.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s174, c_busy)) | (~always3(s174)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s174)) | (~m_main_v_state(s174, c_busy)))),
% 9.24/6.73 inference(transitivity,[status(thm)],[29494, 29492])).
% 9.24/6.73 tff(29496,plain,
% 9.24/6.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s174, c_busy)) | (~always3(s174)))),
% 9.24/6.73 inference(quant_inst,[status(thm)],[])).
% 9.24/6.73 tff(29497,plain,
% 9.24/6.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s174)) | (~m_main_v_state(s174, c_busy))),
% 9.24/6.73 inference(modus_ponens,[status(thm)],[29496, 29495])).
% 9.24/6.73 tff(29498,plain,
% 9.24/6.73 (~m_main_v_state(s174, c_busy)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29497, 170, 29491])).
% 9.24/6.73 tff(29499,plain,
% 9.24/6.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s173)) | (~m_main_v_state(s173, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s173)) | (~m_main_v_state(s173, c_busy)))),
% 9.24/6.73 inference(rewrite,[status(thm)],[])).
% 9.24/6.73 tff(29500,plain,
% 9.24/6.73 (((~m_main_v_state(s173, c_busy)) | (~always3(s173))) <=> ((~always3(s173)) | (~m_main_v_state(s173, c_busy)))),
% 9.24/6.73 inference(rewrite,[status(thm)],[])).
% 9.24/6.73 tff(29501,plain,
% 9.24/6.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s173, c_busy)) | (~always3(s173)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s173)) | (~m_main_v_state(s173, c_busy))))),
% 9.24/6.73 inference(monotonicity,[status(thm)],[29500])).
% 9.24/6.73 tff(29502,plain,
% 9.24/6.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s173, c_busy)) | (~always3(s173)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s173)) | (~m_main_v_state(s173, c_busy)))),
% 9.24/6.73 inference(transitivity,[status(thm)],[29501, 29499])).
% 9.24/6.73 tff(29503,plain,
% 9.24/6.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s173, c_busy)) | (~always3(s173)))),
% 9.24/6.73 inference(quant_inst,[status(thm)],[])).
% 9.24/6.73 tff(29504,plain,
% 9.24/6.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s173)) | (~m_main_v_state(s173, c_busy))),
% 9.24/6.73 inference(modus_ponens,[status(thm)],[29503, 29502])).
% 9.24/6.73 tff(29505,plain,
% 9.24/6.73 (~m_main_v_state(s173, c_busy)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29504, 170, 29490])).
% 9.24/6.73 tff(29506,plain,
% 9.24/6.73 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s173, c_busy) | m_main_v_state(s173, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s173, c_busy) | m_main_v_state(s173, c_ready))),
% 9.24/6.73 inference(rewrite,[status(thm)],[])).
% 9.24/6.73 tff(29507,plain,
% 9.24/6.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s173, c_busy) | m_main_v_state(s173, c_ready))),
% 9.24/6.73 inference(quant_inst,[status(thm)],[])).
% 9.24/6.73 tff(29508,plain,
% 9.24/6.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s173, c_busy) | m_main_v_state(s173, c_ready)),
% 9.24/6.73 inference(modus_ponens,[status(thm)],[29507, 29506])).
% 9.24/6.73 tff(29509,plain,
% 9.24/6.73 (m_main_v_state(s173, c_ready)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29508, 213, 29505])).
% 9.24/6.73 tff(29510,assumption,(~m_main_v_state(s173, c_busy)), introduced(assumption)).
% 9.24/6.73 tff(29511,assumption,(node4(s172)), introduced(assumption)).
% 9.24/6.73 tff(29512,plain,
% 9.24/6.73 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s172) | (~node4(s172)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s172) | (~node4(s172)))),
% 9.24/6.73 inference(rewrite,[status(thm)],[])).
% 9.24/6.73 tff(29513,plain,
% 9.24/6.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s172) | (~node4(s172)))),
% 9.24/6.73 inference(quant_inst,[status(thm)],[])).
% 9.24/6.73 tff(29514,plain,
% 9.24/6.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s172) | (~node4(s172))),
% 9.24/6.73 inference(modus_ponens,[status(thm)],[29513, 29512])).
% 9.24/6.73 tff(29515,plain,
% 9.24/6.73 (m_main_v_request(s172)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29514, 154, 29511])).
% 9.24/6.73 tff(29516,plain,
% 9.24/6.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s172, s173)) | node2(s172, s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s172, s173)) | node2(s172, s173))),
% 9.24/6.73 inference(rewrite,[status(thm)],[])).
% 9.24/6.73 tff(29517,plain,
% 9.24/6.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s172, s173)) | node2(s172, s173))),
% 9.24/6.73 inference(quant_inst,[status(thm)],[])).
% 9.24/6.73 tff(29518,plain,
% 9.24/6.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s172, s173)) | node2(s172, s173)),
% 9.24/6.73 inference(modus_ponens,[status(thm)],[29517, 29516])).
% 9.24/6.73 tff(29519,plain,
% 9.24/6.73 (node2(s172, s173)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29518, 7, 7575])).
% 9.24/6.73 tff(29520,plain,
% 9.24/6.73 (((~![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(s172, c_ready)) | (~node2(s172, s173)) | m_main_v_state(s173, c_busy) | (~m_main_v_request(s172)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s172, c_ready)) | (~node2(s172, s173)) | m_main_v_state(s173, c_busy) | (~m_main_v_request(s172)))),
% 9.24/6.73 inference(rewrite,[status(thm)],[])).
% 9.24/6.73 tff(29521,plain,
% 9.24/6.73 ((~![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(s172, c_ready)) | (~node2(s172, s173)) | m_main_v_state(s173, c_busy) | (~m_main_v_request(s172)))),
% 9.24/6.73 inference(quant_inst,[status(thm)],[])).
% 9.24/6.73 tff(29522,plain,
% 9.24/6.73 ((~![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(s172, c_ready)) | (~node2(s172, s173)) | m_main_v_state(s173, c_busy) | (~m_main_v_request(s172))),
% 9.24/6.73 inference(modus_ponens,[status(thm)],[29521, 29520])).
% 9.24/6.73 tff(29523,plain,
% 9.24/6.73 ((~m_main_v_state(s172, c_ready)) | m_main_v_state(s173, c_busy) | (~m_main_v_request(s172))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29522, 191, 29519])).
% 9.24/6.73 tff(29524,plain,
% 9.24/6.73 (~m_main_v_state(s172, c_ready)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29523, 29515, 29510])).
% 9.24/6.73 tff(29525,plain,
% 9.24/6.73 (always3(s172)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7583, 22, 29511])).
% 9.24/6.73 tff(29526,plain,
% 9.24/6.73 (~m_main_v_state(s172, c_busy)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[28711, 170, 29525])).
% 9.24/6.73 tff(29527,plain,
% 9.24/6.73 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s172, c_busy) | m_main_v_state(s172, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s172, c_busy) | m_main_v_state(s172, c_ready))),
% 9.24/6.73 inference(rewrite,[status(thm)],[])).
% 9.24/6.73 tff(29528,plain,
% 9.24/6.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s172, c_busy) | m_main_v_state(s172, c_ready))),
% 9.24/6.73 inference(quant_inst,[status(thm)],[])).
% 9.24/6.73 tff(29529,plain,
% 9.24/6.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s172, c_busy) | m_main_v_state(s172, c_ready)),
% 9.24/6.73 inference(modus_ponens,[status(thm)],[29528, 29527])).
% 9.24/6.73 tff(29530,plain,
% 9.24/6.73 ($false),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29529, 213, 29526, 29524])).
% 9.24/6.73 tff(29531,plain,((~node4(s172)) | m_main_v_state(s173, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.24/6.73 tff(29532,plain,
% 9.24/6.73 (~node4(s172)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29531, 29505])).
% 9.24/6.73 tff(29533,assumption,(until5(s172)), introduced(assumption)).
% 9.24/6.73 tff(29534,plain,
% 9.24/6.73 (xuntil6(s172) | node4(s172)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7590, 36, 29533])).
% 9.24/6.73 tff(29535,plain,
% 9.24/6.73 (xuntil6(s172)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29534, 29532])).
% 9.24/6.73 tff(29536,plain,
% 9.24/6.73 (until5(s173)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7570, 29535])).
% 9.24/6.73 tff(29537,plain,
% 9.24/6.73 (node4(s173)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[28813, 29536])).
% 9.24/6.73 tff(29538,plain,
% 9.24/6.73 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s173) | (~node4(s173)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s173) | (~node4(s173)))),
% 9.24/6.73 inference(rewrite,[status(thm)],[])).
% 9.24/6.73 tff(29539,plain,
% 9.24/6.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s173) | (~node4(s173)))),
% 9.24/6.73 inference(quant_inst,[status(thm)],[])).
% 9.24/6.73 tff(29540,plain,
% 9.24/6.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s173) | (~node4(s173))),
% 9.24/6.73 inference(modus_ponens,[status(thm)],[29539, 29538])).
% 9.24/6.73 tff(29541,plain,
% 9.24/6.73 (m_main_v_request(s173)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29540, 154, 29537])).
% 9.24/6.73 tff(29542,plain,
% 9.24/6.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s173, s174)) | node2(s173, s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s173, s174)) | node2(s173, s174))),
% 9.24/6.73 inference(rewrite,[status(thm)],[])).
% 9.24/6.73 tff(29543,plain,
% 9.24/6.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s173, s174)) | node2(s173, s174))),
% 9.24/6.73 inference(quant_inst,[status(thm)],[])).
% 9.24/6.73 tff(29544,plain,
% 9.24/6.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s173, s174)) | node2(s173, s174)),
% 9.24/6.73 inference(modus_ponens,[status(thm)],[29543, 29542])).
% 9.24/6.73 tff(29545,plain,
% 9.24/6.73 (node2(s173, s174)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29544, 7, 7546])).
% 9.24/6.73 tff(29546,plain,
% 9.24/6.73 (((~![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(s173, c_ready)) | (~node2(s173, s174)) | m_main_v_state(s174, c_busy) | (~m_main_v_request(s173)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s173, c_ready)) | (~node2(s173, s174)) | m_main_v_state(s174, c_busy) | (~m_main_v_request(s173)))),
% 9.24/6.73 inference(rewrite,[status(thm)],[])).
% 9.24/6.73 tff(29547,plain,
% 9.24/6.73 ((~![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(s173, c_ready)) | (~node2(s173, s174)) | m_main_v_state(s174, c_busy) | (~m_main_v_request(s173)))),
% 9.24/6.73 inference(quant_inst,[status(thm)],[])).
% 9.24/6.73 tff(29548,plain,
% 9.24/6.73 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s173, c_ready)) | (~node2(s173, s174)) | m_main_v_state(s174, c_busy) | (~m_main_v_request(s173))),
% 9.24/6.73 inference(modus_ponens,[status(thm)],[29547, 29546])).
% 9.24/6.73 tff(29549,plain,
% 9.24/6.73 ((~m_main_v_state(s173, c_ready)) | m_main_v_state(s174, c_busy) | (~m_main_v_request(s173))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29548, 191, 29545])).
% 9.24/6.73 tff(29550,plain,
% 9.24/6.73 ($false),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29549, 29541, 29509, 29498])).
% 9.24/6.73 tff(29551,plain,(xuntil6(s173) | (~until5(s172))), inference(lemma,lemma(discharge,[]))).
% 9.24/6.73 tff(29552,plain,
% 9.24/6.73 (xuntil6(s173)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29551, 28807])).
% 9.24/6.73 tff(29553,plain,
% 9.24/6.73 (until5(s174)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7541, 29552])).
% 9.24/6.73 tff(29554,assumption,(~xuntil6(s177)), introduced(assumption)).
% 9.24/6.73 tff(29555,assumption,(~always3(s177)), introduced(assumption)).
% 9.24/6.73 tff(29556,plain,
% 9.24/6.73 (~always3(s176)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7463, 29555])).
% 9.24/6.73 tff(29557,plain,
% 9.24/6.73 (~node4(s176)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7467, 22, 29556])).
% 9.24/6.73 tff(29558,plain,
% 9.24/6.73 (~node4(s177)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7438, 22, 29555])).
% 9.24/6.73 tff(29559,plain,
% 9.24/6.73 (node4(s177) | (~until5(s177))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7445, 36, 29554])).
% 9.24/6.73 tff(29560,plain,
% 9.24/6.73 (~until5(s177)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29559, 29558])).
% 9.24/6.73 tff(29561,plain,
% 9.24/6.73 (~xuntil6(s176)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7454, 29560])).
% 9.24/6.73 tff(29562,plain,
% 9.24/6.73 (~until5(s176)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7474, 36, 29561, 29557])).
% 9.24/6.73 tff(29563,plain,
% 9.24/6.73 (~always3(s175)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7492, 29556])).
% 9.24/6.73 tff(29564,plain,
% 9.24/6.73 (~node4(s175)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7496, 22, 29563])).
% 9.24/6.73 tff(29565,plain,
% 9.24/6.73 (~always3(s174)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7521, 29563])).
% 9.24/6.73 tff(29566,plain,
% 9.24/6.73 (~node4(s174)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7525, 22, 29565])).
% 9.24/6.73 tff(29567,plain,
% 9.24/6.73 (~always3(s173)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7550, 29565])).
% 9.24/6.73 tff(29568,plain,
% 9.24/6.73 (xuntil6(s173)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29489, 29567])).
% 9.24/6.73 tff(29569,plain,
% 9.24/6.73 (until5(s174)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7541, 29568])).
% 9.24/6.73 tff(29570,plain,
% 9.24/6.73 (xuntil6(s174) | node4(s174)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7532, 36, 29569])).
% 9.24/6.73 tff(29571,plain,
% 9.24/6.73 (xuntil6(s174)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29570, 29566])).
% 9.24/6.73 tff(29572,plain,
% 9.24/6.73 (until5(s175)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7512, 29571])).
% 9.24/6.73 tff(29573,plain,
% 9.24/6.73 (xuntil6(s175)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7503, 36, 29572, 29564])).
% 9.24/6.73 tff(29574,plain,
% 9.24/6.73 ($false),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7483, 29573, 29562])).
% 9.24/6.73 tff(29575,plain,(always3(s177) | xuntil6(s177)), inference(lemma,lemma(discharge,[]))).
% 9.24/6.73 tff(29576,plain,
% 9.24/6.73 (always3(s177)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29575, 29554])).
% 9.24/6.73 tff(29577,plain,
% 9.24/6.73 (always3(s178)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7434, 29576])).
% 9.24/6.73 tff(29578,plain,
% 9.24/6.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s178)) | (~m_main_v_state(s178, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s178)) | (~m_main_v_state(s178, c_busy)))),
% 9.24/6.73 inference(rewrite,[status(thm)],[])).
% 9.24/6.73 tff(29579,plain,
% 9.24/6.73 (((~m_main_v_state(s178, c_busy)) | (~always3(s178))) <=> ((~always3(s178)) | (~m_main_v_state(s178, c_busy)))),
% 9.24/6.73 inference(rewrite,[status(thm)],[])).
% 9.24/6.73 tff(29580,plain,
% 9.24/6.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s178, c_busy)) | (~always3(s178)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s178)) | (~m_main_v_state(s178, c_busy))))),
% 9.24/6.73 inference(monotonicity,[status(thm)],[29579])).
% 9.24/6.73 tff(29581,plain,
% 9.24/6.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s178, c_busy)) | (~always3(s178)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s178)) | (~m_main_v_state(s178, c_busy)))),
% 9.24/6.73 inference(transitivity,[status(thm)],[29580, 29578])).
% 9.24/6.73 tff(29582,plain,
% 9.24/6.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s178, c_busy)) | (~always3(s178)))),
% 9.24/6.73 inference(quant_inst,[status(thm)],[])).
% 9.24/6.73 tff(29583,plain,
% 9.24/6.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s178)) | (~m_main_v_state(s178, c_busy))),
% 9.24/6.73 inference(modus_ponens,[status(thm)],[29582, 29581])).
% 9.24/6.73 tff(29584,plain,
% 9.24/6.73 (~m_main_v_state(s178, c_busy)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29583, 170, 29577])).
% 9.24/6.73 tff(29585,plain,
% 9.24/6.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s177)) | (~m_main_v_state(s177, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s177)) | (~m_main_v_state(s177, c_busy)))),
% 9.24/6.73 inference(rewrite,[status(thm)],[])).
% 9.24/6.73 tff(29586,plain,
% 9.24/6.73 (((~m_main_v_state(s177, c_busy)) | (~always3(s177))) <=> ((~always3(s177)) | (~m_main_v_state(s177, c_busy)))),
% 9.24/6.73 inference(rewrite,[status(thm)],[])).
% 9.24/6.73 tff(29587,plain,
% 9.24/6.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s177, c_busy)) | (~always3(s177)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s177)) | (~m_main_v_state(s177, c_busy))))),
% 9.24/6.73 inference(monotonicity,[status(thm)],[29586])).
% 9.24/6.73 tff(29588,plain,
% 9.24/6.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s177, c_busy)) | (~always3(s177)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s177)) | (~m_main_v_state(s177, c_busy)))),
% 9.24/6.73 inference(transitivity,[status(thm)],[29587, 29585])).
% 9.24/6.73 tff(29589,plain,
% 9.24/6.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s177, c_busy)) | (~always3(s177)))),
% 9.24/6.73 inference(quant_inst,[status(thm)],[])).
% 9.24/6.73 tff(29590,plain,
% 9.24/6.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s177)) | (~m_main_v_state(s177, c_busy))),
% 9.24/6.73 inference(modus_ponens,[status(thm)],[29589, 29588])).
% 9.24/6.73 tff(29591,plain,
% 9.24/6.73 (~m_main_v_state(s177, c_busy)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29590, 170, 29576])).
% 9.24/6.73 tff(29592,plain,
% 9.24/6.73 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s177, c_busy) | m_main_v_state(s177, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s177, c_busy) | m_main_v_state(s177, c_ready))),
% 9.24/6.73 inference(rewrite,[status(thm)],[])).
% 9.24/6.73 tff(29593,plain,
% 9.24/6.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s177, c_busy) | m_main_v_state(s177, c_ready))),
% 9.24/6.73 inference(quant_inst,[status(thm)],[])).
% 9.24/6.73 tff(29594,plain,
% 9.24/6.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s177, c_busy) | m_main_v_state(s177, c_ready)),
% 9.24/6.73 inference(modus_ponens,[status(thm)],[29593, 29592])).
% 9.24/6.73 tff(29595,plain,
% 9.24/6.73 (m_main_v_state(s177, c_ready)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29594, 213, 29591])).
% 9.24/6.73 tff(29596,assumption,(until5(s174)), introduced(assumption)).
% 9.24/6.73 tff(29597,assumption,(~m_main_v_state(s177, c_busy)), introduced(assumption)).
% 9.24/6.73 tff(29598,assumption,(~xuntil6(s176)), introduced(assumption)).
% 9.24/6.73 tff(29599,assumption,(~always3(s176)), introduced(assumption)).
% 9.24/6.73 tff(29600,plain,
% 9.24/6.73 (~always3(s175)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7492, 29599])).
% 9.24/6.73 tff(29601,plain,
% 9.24/6.73 (~node4(s175)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7496, 22, 29600])).
% 9.24/6.73 tff(29602,plain,
% 9.24/6.73 (~always3(s174)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7521, 29600])).
% 9.24/6.73 tff(29603,plain,
% 9.24/6.73 (~node4(s174)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7525, 22, 29602])).
% 9.24/6.73 tff(29604,plain,
% 9.24/6.73 (xuntil6(s174) | node4(s174)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7532, 36, 29596])).
% 9.24/6.73 tff(29605,plain,
% 9.24/6.73 (xuntil6(s174)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29604, 29603])).
% 9.24/6.73 tff(29606,plain,
% 9.24/6.73 (until5(s175)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7512, 29605])).
% 9.24/6.73 tff(29607,plain,
% 9.24/6.73 (xuntil6(s175)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7503, 36, 29606, 29601])).
% 9.24/6.73 tff(29608,plain,
% 9.24/6.73 (until5(s176)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7483, 29607])).
% 9.24/6.73 tff(29609,plain,
% 9.24/6.73 (node4(s176) | (~until5(s176))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7474, 36, 29598])).
% 9.24/6.73 tff(29610,plain,
% 9.24/6.73 (node4(s176)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29609, 29608])).
% 9.24/6.73 tff(29611,plain,
% 9.24/6.73 ($false),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7467, 22, 29599, 29610])).
% 9.24/6.73 tff(29612,plain,(always3(s176) | xuntil6(s176) | (~until5(s174))), inference(lemma,lemma(discharge,[]))).
% 9.24/6.73 tff(29613,plain,
% 9.24/6.73 (always3(s176)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29612, 29596, 29598])).
% 9.24/6.73 tff(29614,plain,
% 9.24/6.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s176)) | (~m_main_v_state(s176, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s176)) | (~m_main_v_state(s176, c_busy)))),
% 9.24/6.73 inference(rewrite,[status(thm)],[])).
% 9.24/6.73 tff(29615,plain,
% 9.24/6.73 (((~m_main_v_state(s176, c_busy)) | (~always3(s176))) <=> ((~always3(s176)) | (~m_main_v_state(s176, c_busy)))),
% 9.24/6.73 inference(rewrite,[status(thm)],[])).
% 9.24/6.73 tff(29616,plain,
% 9.24/6.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s176, c_busy)) | (~always3(s176)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s176)) | (~m_main_v_state(s176, c_busy))))),
% 9.24/6.73 inference(monotonicity,[status(thm)],[29615])).
% 9.24/6.73 tff(29617,plain,
% 9.24/6.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s176, c_busy)) | (~always3(s176)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s176)) | (~m_main_v_state(s176, c_busy)))),
% 9.24/6.73 inference(transitivity,[status(thm)],[29616, 29614])).
% 9.24/6.73 tff(29618,plain,
% 9.24/6.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s176, c_busy)) | (~always3(s176)))),
% 9.24/6.73 inference(quant_inst,[status(thm)],[])).
% 9.24/6.73 tff(29619,plain,
% 9.24/6.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s176)) | (~m_main_v_state(s176, c_busy))),
% 9.24/6.73 inference(modus_ponens,[status(thm)],[29618, 29617])).
% 9.24/6.73 tff(29620,plain,
% 9.24/6.73 (~m_main_v_state(s176, c_busy)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29619, 170, 29613])).
% 9.24/6.73 tff(29621,plain,
% 9.24/6.73 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s176, c_busy) | m_main_v_state(s176, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s176, c_busy) | m_main_v_state(s176, c_ready))),
% 9.24/6.73 inference(rewrite,[status(thm)],[])).
% 9.24/6.73 tff(29622,plain,
% 9.24/6.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s176, c_busy) | m_main_v_state(s176, c_ready))),
% 9.24/6.73 inference(quant_inst,[status(thm)],[])).
% 9.24/6.73 tff(29623,plain,
% 9.24/6.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s176, c_busy) | m_main_v_state(s176, c_ready)),
% 9.24/6.73 inference(modus_ponens,[status(thm)],[29622, 29621])).
% 9.24/6.73 tff(29624,plain,
% 9.24/6.73 (m_main_v_state(s176, c_ready)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29623, 213, 29620])).
% 9.24/6.73 tff(29625,plain,
% 9.24/6.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s176, s177)) | node2(s176, s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s176, s177)) | node2(s176, s177))),
% 9.24/6.73 inference(rewrite,[status(thm)],[])).
% 9.24/6.73 tff(29626,plain,
% 9.24/6.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s176, s177)) | node2(s176, s177))),
% 9.24/6.73 inference(quant_inst,[status(thm)],[])).
% 9.24/6.73 tff(29627,plain,
% 9.24/6.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s176, s177)) | node2(s176, s177)),
% 9.24/6.73 inference(modus_ponens,[status(thm)],[29626, 29625])).
% 9.24/6.73 tff(29628,plain,
% 9.24/6.73 (node2(s176, s177)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29627, 7, 7459])).
% 9.24/6.73 tff(29629,plain,
% 9.24/6.73 (((~![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(s176, c_ready)) | (~node2(s176, s177)) | m_main_v_state(s177, c_busy) | (~m_main_v_request(s176)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s176, c_ready)) | (~node2(s176, s177)) | m_main_v_state(s177, c_busy) | (~m_main_v_request(s176)))),
% 9.24/6.73 inference(rewrite,[status(thm)],[])).
% 9.24/6.73 tff(29630,plain,
% 9.24/6.73 ((~![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(s176, c_ready)) | (~node2(s176, s177)) | m_main_v_state(s177, c_busy) | (~m_main_v_request(s176)))),
% 9.24/6.73 inference(quant_inst,[status(thm)],[])).
% 9.24/6.73 tff(29631,plain,
% 9.24/6.73 ((~![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(s176, c_ready)) | (~node2(s176, s177)) | m_main_v_state(s177, c_busy) | (~m_main_v_request(s176))),
% 9.24/6.73 inference(modus_ponens,[status(thm)],[29630, 29629])).
% 9.24/6.73 tff(29632,plain,
% 9.24/6.73 ((~m_main_v_state(s176, c_ready)) | m_main_v_state(s177, c_busy) | (~m_main_v_request(s176))),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29631, 191, 29628])).
% 9.24/6.73 tff(29633,plain,
% 9.24/6.73 (~m_main_v_request(s176)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29632, 29624, 29597])).
% 9.24/6.73 tff(29634,plain,
% 9.24/6.73 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s176) | (~node4(s176)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s176) | (~node4(s176)))),
% 9.24/6.73 inference(rewrite,[status(thm)],[])).
% 9.24/6.73 tff(29635,plain,
% 9.24/6.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s176) | (~node4(s176)))),
% 9.24/6.73 inference(quant_inst,[status(thm)],[])).
% 9.24/6.73 tff(29636,plain,
% 9.24/6.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s176) | (~node4(s176))),
% 9.24/6.73 inference(modus_ponens,[status(thm)],[29635, 29634])).
% 9.24/6.73 tff(29637,plain,
% 9.24/6.73 (~node4(s176)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29636, 154, 29633])).
% 9.24/6.73 tff(29638,plain,
% 9.24/6.73 (~until5(s176)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[29609, 29637])).
% 9.24/6.73 tff(29639,plain,
% 9.24/6.73 (~xuntil6(s175)),
% 9.24/6.73 inference(unit_resolution,[status(thm)],[7483, 29638])).
% 9.24/6.73 tff(29640,assumption,(~always3(s175)), introduced(assumption)).
% 9.24/6.74 tff(29641,plain,
% 9.24/6.74 (~always3(s174)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7521, 29640])).
% 9.24/6.74 tff(29642,plain,
% 9.24/6.74 (~node4(s174)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7525, 22, 29641])).
% 9.24/6.74 tff(29643,plain,
% 9.24/6.74 (xuntil6(s174)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29604, 29642])).
% 9.24/6.74 tff(29644,plain,
% 9.24/6.74 (until5(s175)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7512, 29643])).
% 9.24/6.74 tff(29645,assumption,(~xuntil6(s175)), introduced(assumption)).
% 9.24/6.74 tff(29646,plain,
% 9.24/6.74 (node4(s175) | (~until5(s175))),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7503, 36, 29645])).
% 9.24/6.74 tff(29647,plain,
% 9.24/6.74 (node4(s175)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29646, 29644])).
% 9.24/6.74 tff(29648,plain,
% 9.24/6.74 ($false),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7496, 22, 29640, 29647])).
% 9.24/6.74 tff(29649,plain,(always3(s175) | xuntil6(s175) | (~until5(s174))), inference(lemma,lemma(discharge,[]))).
% 9.24/6.74 tff(29650,plain,
% 9.24/6.74 (always3(s175)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29649, 29639, 29596])).
% 9.24/6.74 tff(29651,plain,
% 9.24/6.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s175)) | (~m_main_v_state(s175, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s175)) | (~m_main_v_state(s175, c_busy)))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29652,plain,
% 9.24/6.74 (((~m_main_v_state(s175, c_busy)) | (~always3(s175))) <=> ((~always3(s175)) | (~m_main_v_state(s175, c_busy)))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29653,plain,
% 9.24/6.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s175, c_busy)) | (~always3(s175)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s175)) | (~m_main_v_state(s175, c_busy))))),
% 9.24/6.74 inference(monotonicity,[status(thm)],[29652])).
% 9.24/6.74 tff(29654,plain,
% 9.24/6.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s175, c_busy)) | (~always3(s175)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s175)) | (~m_main_v_state(s175, c_busy)))),
% 9.24/6.74 inference(transitivity,[status(thm)],[29653, 29651])).
% 9.24/6.74 tff(29655,plain,
% 9.24/6.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s175, c_busy)) | (~always3(s175)))),
% 9.24/6.74 inference(quant_inst,[status(thm)],[])).
% 9.24/6.74 tff(29656,plain,
% 9.24/6.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s175)) | (~m_main_v_state(s175, c_busy))),
% 9.24/6.74 inference(modus_ponens,[status(thm)],[29655, 29654])).
% 9.24/6.74 tff(29657,plain,
% 9.24/6.74 (~m_main_v_state(s175, c_busy)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29656, 170, 29650])).
% 9.24/6.74 tff(29658,plain,
% 9.24/6.74 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s175, c_busy) | m_main_v_state(s175, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s175, c_busy) | m_main_v_state(s175, c_ready))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29659,plain,
% 9.24/6.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s175, c_busy) | m_main_v_state(s175, c_ready))),
% 9.24/6.74 inference(quant_inst,[status(thm)],[])).
% 9.24/6.74 tff(29660,plain,
% 9.24/6.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s175, c_busy) | m_main_v_state(s175, c_ready)),
% 9.24/6.74 inference(modus_ponens,[status(thm)],[29659, 29658])).
% 9.24/6.74 tff(29661,plain,
% 9.24/6.74 (m_main_v_state(s175, c_ready)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29660, 213, 29657])).
% 9.24/6.74 tff(29662,plain,
% 9.24/6.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s175, s176)) | node2(s175, s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s175, s176)) | node2(s175, s176))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29663,plain,
% 9.24/6.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s175, s176)) | node2(s175, s176))),
% 9.24/6.74 inference(quant_inst,[status(thm)],[])).
% 9.24/6.74 tff(29664,plain,
% 9.24/6.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s175, s176)) | node2(s175, s176)),
% 9.24/6.74 inference(modus_ponens,[status(thm)],[29663, 29662])).
% 9.24/6.74 tff(29665,plain,
% 9.24/6.74 (node2(s175, s176)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29664, 7, 7488])).
% 9.24/6.74 tff(29666,plain,
% 9.24/6.74 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s175, c_ready)) | (~node2(s175, s176)) | m_main_v_state(s176, c_busy) | (~m_main_v_request(s175)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s175, c_ready)) | (~node2(s175, s176)) | m_main_v_state(s176, c_busy) | (~m_main_v_request(s175)))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29667,plain,
% 9.24/6.74 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s175, c_ready)) | (~node2(s175, s176)) | m_main_v_state(s176, c_busy) | (~m_main_v_request(s175)))),
% 9.24/6.74 inference(quant_inst,[status(thm)],[])).
% 9.24/6.74 tff(29668,plain,
% 9.24/6.74 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s175, c_ready)) | (~node2(s175, s176)) | m_main_v_state(s176, c_busy) | (~m_main_v_request(s175))),
% 9.24/6.74 inference(modus_ponens,[status(thm)],[29667, 29666])).
% 9.24/6.74 tff(29669,plain,
% 9.24/6.74 ((~m_main_v_state(s175, c_ready)) | m_main_v_state(s176, c_busy) | (~m_main_v_request(s175))),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29668, 191, 29665])).
% 9.24/6.74 tff(29670,plain,
% 9.24/6.74 (~m_main_v_request(s175)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29669, 29661, 29620])).
% 9.24/6.74 tff(29671,plain,
% 9.24/6.74 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s175) | (~node4(s175)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s175) | (~node4(s175)))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29672,plain,
% 9.24/6.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s175) | (~node4(s175)))),
% 9.24/6.74 inference(quant_inst,[status(thm)],[])).
% 9.24/6.74 tff(29673,plain,
% 9.24/6.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s175) | (~node4(s175))),
% 9.24/6.74 inference(modus_ponens,[status(thm)],[29672, 29671])).
% 9.24/6.74 tff(29674,plain,
% 9.24/6.74 (~node4(s175)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29673, 154, 29670])).
% 9.24/6.74 tff(29675,plain,
% 9.24/6.74 (node4(s175) | (~until5(s175))),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7503, 36, 29639])).
% 9.24/6.74 tff(29676,plain,
% 9.24/6.74 (~until5(s175)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29675, 29674])).
% 9.24/6.74 tff(29677,plain,
% 9.24/6.74 (~xuntil6(s174)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7512, 29676])).
% 9.24/6.74 tff(29678,plain,
% 9.24/6.74 (node4(s174)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29604, 29677])).
% 9.24/6.74 tff(29679,plain,
% 9.24/6.74 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s174) | (~node4(s174)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s174) | (~node4(s174)))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29680,plain,
% 9.24/6.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s174) | (~node4(s174)))),
% 9.24/6.74 inference(quant_inst,[status(thm)],[])).
% 9.24/6.74 tff(29681,plain,
% 9.24/6.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s174) | (~node4(s174))),
% 9.24/6.74 inference(modus_ponens,[status(thm)],[29680, 29679])).
% 9.24/6.74 tff(29682,plain,
% 9.24/6.74 (m_main_v_request(s174)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29681, 154, 29678])).
% 9.24/6.74 tff(29683,plain,
% 9.24/6.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s174, s175)) | node2(s174, s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s174, s175)) | node2(s174, s175))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29684,plain,
% 9.24/6.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s174, s175)) | node2(s174, s175))),
% 9.24/6.74 inference(quant_inst,[status(thm)],[])).
% 9.24/6.74 tff(29685,plain,
% 9.24/6.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s174, s175)) | node2(s174, s175)),
% 9.24/6.74 inference(modus_ponens,[status(thm)],[29684, 29683])).
% 9.24/6.74 tff(29686,plain,
% 9.24/6.74 (node2(s174, s175)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29685, 7, 7517])).
% 9.24/6.74 tff(29687,plain,
% 9.24/6.74 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s174, c_ready)) | (~node2(s174, s175)) | m_main_v_state(s175, c_busy) | (~m_main_v_request(s174)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s174, c_ready)) | (~node2(s174, s175)) | m_main_v_state(s175, c_busy) | (~m_main_v_request(s174)))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29688,plain,
% 9.24/6.74 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s174, c_ready)) | (~node2(s174, s175)) | m_main_v_state(s175, c_busy) | (~m_main_v_request(s174)))),
% 9.24/6.74 inference(quant_inst,[status(thm)],[])).
% 9.24/6.74 tff(29689,plain,
% 9.24/6.74 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s174, c_ready)) | (~node2(s174, s175)) | m_main_v_state(s175, c_busy) | (~m_main_v_request(s174))),
% 9.24/6.74 inference(modus_ponens,[status(thm)],[29688, 29687])).
% 9.24/6.74 tff(29690,plain,
% 9.24/6.74 ((~m_main_v_state(s174, c_ready)) | m_main_v_state(s175, c_busy) | (~m_main_v_request(s174))),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29689, 191, 29686])).
% 9.24/6.74 tff(29691,plain,
% 9.24/6.74 (~m_main_v_state(s174, c_ready)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29690, 29682, 29657])).
% 9.24/6.74 tff(29692,plain,
% 9.24/6.74 (always3(s174)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7525, 22, 29678])).
% 9.24/6.74 tff(29693,plain,
% 9.24/6.74 (~m_main_v_state(s174, c_busy)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29497, 170, 29692])).
% 9.24/6.74 tff(29694,plain,
% 9.24/6.74 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s174, c_busy) | m_main_v_state(s174, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s174, c_busy) | m_main_v_state(s174, c_ready))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29695,plain,
% 9.24/6.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s174, c_busy) | m_main_v_state(s174, c_ready))),
% 9.24/6.74 inference(quant_inst,[status(thm)],[])).
% 9.24/6.74 tff(29696,plain,
% 9.24/6.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s174, c_busy) | m_main_v_state(s174, c_ready)),
% 9.24/6.74 inference(modus_ponens,[status(thm)],[29695, 29694])).
% 9.24/6.74 tff(29697,plain,
% 9.24/6.74 ($false),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29696, 213, 29693, 29691])).
% 9.24/6.74 tff(29698,plain,((~until5(s174)) | xuntil6(s176) | m_main_v_state(s177, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.24/6.74 tff(29699,plain,
% 9.24/6.74 (xuntil6(s176)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29698, 29591, 29596])).
% 9.24/6.74 tff(29700,plain,
% 9.24/6.74 (until5(s177)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7454, 29699])).
% 9.24/6.74 tff(29701,plain,
% 9.24/6.74 (node4(s177)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29559, 29700])).
% 9.24/6.74 tff(29702,plain,
% 9.24/6.74 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s177) | (~node4(s177)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s177) | (~node4(s177)))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29703,plain,
% 9.24/6.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s177) | (~node4(s177)))),
% 9.24/6.74 inference(quant_inst,[status(thm)],[])).
% 9.24/6.74 tff(29704,plain,
% 9.24/6.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s177) | (~node4(s177))),
% 9.24/6.74 inference(modus_ponens,[status(thm)],[29703, 29702])).
% 9.24/6.74 tff(29705,plain,
% 9.24/6.74 (m_main_v_request(s177)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29704, 154, 29701])).
% 9.24/6.74 tff(29706,plain,
% 9.24/6.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s177, s178)) | node2(s177, s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s177, s178)) | node2(s177, s178))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29707,plain,
% 9.24/6.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s177, s178)) | node2(s177, s178))),
% 9.24/6.74 inference(quant_inst,[status(thm)],[])).
% 9.24/6.74 tff(29708,plain,
% 9.24/6.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s177, s178)) | node2(s177, s178)),
% 9.24/6.74 inference(modus_ponens,[status(thm)],[29707, 29706])).
% 9.24/6.74 tff(29709,plain,
% 9.24/6.74 (node2(s177, s178)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29708, 7, 7430])).
% 9.24/6.74 tff(29710,plain,
% 9.24/6.74 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s177, c_ready)) | (~node2(s177, s178)) | m_main_v_state(s178, c_busy) | (~m_main_v_request(s177)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s177, c_ready)) | (~node2(s177, s178)) | m_main_v_state(s178, c_busy) | (~m_main_v_request(s177)))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29711,plain,
% 9.24/6.74 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s177, c_ready)) | (~node2(s177, s178)) | m_main_v_state(s178, c_busy) | (~m_main_v_request(s177)))),
% 9.24/6.74 inference(quant_inst,[status(thm)],[])).
% 9.24/6.74 tff(29712,plain,
% 9.24/6.74 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s177, c_ready)) | (~node2(s177, s178)) | m_main_v_state(s178, c_busy) | (~m_main_v_request(s177))),
% 9.24/6.74 inference(modus_ponens,[status(thm)],[29711, 29710])).
% 9.24/6.74 tff(29713,plain,
% 9.24/6.74 ((~m_main_v_state(s177, c_ready)) | m_main_v_state(s178, c_busy) | (~m_main_v_request(s177))),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29712, 191, 29709])).
% 9.24/6.74 tff(29714,plain,
% 9.24/6.74 ($false),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29713, 29705, 29595, 29584])).
% 9.24/6.74 tff(29715,plain,(xuntil6(s177) | (~until5(s174))), inference(lemma,lemma(discharge,[]))).
% 9.24/6.74 tff(29716,plain,
% 9.24/6.74 (xuntil6(s177)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29715, 29553])).
% 9.24/6.74 tff(29717,plain,
% 9.24/6.74 (until5(s178)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7425, 29716])).
% 9.24/6.74 tff(29718,assumption,(~xuntil6(s179)), introduced(assumption)).
% 9.24/6.74 tff(29719,assumption,(~always3(s179)), introduced(assumption)).
% 9.24/6.74 tff(29720,plain,
% 9.24/6.74 (~always3(s178)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7405, 29719])).
% 9.24/6.74 tff(29721,plain,
% 9.24/6.74 (~node4(s178)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7409, 22, 29720])).
% 9.24/6.74 tff(29722,plain,
% 9.24/6.74 (~node4(s179)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7380, 22, 29719])).
% 9.24/6.74 tff(29723,plain,
% 9.24/6.74 (node4(s179) | (~until5(s179))),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7387, 36, 29718])).
% 9.24/6.74 tff(29724,plain,
% 9.24/6.74 (~until5(s179)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29723, 29722])).
% 9.24/6.74 tff(29725,plain,
% 9.24/6.74 (~xuntil6(s178)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7396, 29724])).
% 9.24/6.74 tff(29726,plain,
% 9.24/6.74 (~until5(s178)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7416, 36, 29725, 29721])).
% 9.24/6.74 tff(29727,plain,
% 9.24/6.74 (~xuntil6(s177)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7425, 29726])).
% 9.24/6.74 tff(29728,plain,
% 9.24/6.74 (~always3(s177)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7434, 29720])).
% 9.24/6.74 tff(29729,plain,
% 9.24/6.74 (~node4(s177)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7438, 22, 29728])).
% 9.24/6.74 tff(29730,plain,
% 9.24/6.74 (xuntil6(s177) | (~until5(s177))),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7445, 36, 29729])).
% 9.24/6.74 tff(29731,plain,
% 9.24/6.74 (~until5(s177)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29730, 29727])).
% 9.24/6.74 tff(29732,plain,
% 9.24/6.74 (~always3(s176)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7463, 29728])).
% 9.24/6.74 tff(29733,plain,
% 9.24/6.74 (~always3(s175)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7492, 29732])).
% 9.24/6.74 tff(29734,plain,
% 9.24/6.74 (~node4(s175)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7496, 22, 29733])).
% 9.24/6.74 tff(29735,plain,
% 9.24/6.74 (~always3(s174)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7521, 29733])).
% 9.24/6.74 tff(29736,plain,
% 9.24/6.74 (~node4(s174)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7525, 22, 29735])).
% 9.24/6.74 tff(29737,plain,
% 9.24/6.74 (~always3(s173)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7550, 29735])).
% 9.24/6.74 tff(29738,plain,
% 9.24/6.74 (xuntil6(s173)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29489, 29737])).
% 9.24/6.74 tff(29739,plain,
% 9.24/6.74 (until5(s174)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7541, 29738])).
% 9.24/6.74 tff(29740,plain,
% 9.24/6.74 (xuntil6(s174) | node4(s174)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7532, 36, 29739])).
% 9.24/6.74 tff(29741,plain,
% 9.24/6.74 (xuntil6(s174)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29740, 29736])).
% 9.24/6.74 tff(29742,plain,
% 9.24/6.74 (until5(s175)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7512, 29741])).
% 9.24/6.74 tff(29743,plain,
% 9.24/6.74 (xuntil6(s175)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7503, 36, 29742, 29734])).
% 9.24/6.74 tff(29744,plain,
% 9.24/6.74 (until5(s176)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7483, 29743])).
% 9.24/6.74 tff(29745,plain,
% 9.24/6.74 (~node4(s176)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7467, 22, 29732])).
% 9.24/6.74 tff(29746,plain,
% 9.24/6.74 (xuntil6(s176) | (~until5(s176))),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7474, 36, 29745])).
% 9.24/6.74 tff(29747,plain,
% 9.24/6.74 (xuntil6(s176)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29746, 29744])).
% 9.24/6.74 tff(29748,plain,
% 9.24/6.74 ($false),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7454, 29747, 29731])).
% 9.24/6.74 tff(29749,plain,(always3(s179) | xuntil6(s179)), inference(lemma,lemma(discharge,[]))).
% 9.24/6.74 tff(29750,plain,
% 9.24/6.74 (always3(s179)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29749, 29718])).
% 9.24/6.74 tff(29751,plain,
% 9.24/6.74 (always3(s180)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7376, 29750])).
% 9.24/6.74 tff(29752,plain,
% 9.24/6.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s180)) | (~m_main_v_state(s180, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s180)) | (~m_main_v_state(s180, c_busy)))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29753,plain,
% 9.24/6.74 (((~m_main_v_state(s180, c_busy)) | (~always3(s180))) <=> ((~always3(s180)) | (~m_main_v_state(s180, c_busy)))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29754,plain,
% 9.24/6.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s180, c_busy)) | (~always3(s180)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s180)) | (~m_main_v_state(s180, c_busy))))),
% 9.24/6.74 inference(monotonicity,[status(thm)],[29753])).
% 9.24/6.74 tff(29755,plain,
% 9.24/6.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s180, c_busy)) | (~always3(s180)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s180)) | (~m_main_v_state(s180, c_busy)))),
% 9.24/6.74 inference(transitivity,[status(thm)],[29754, 29752])).
% 9.24/6.74 tff(29756,plain,
% 9.24/6.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s180, c_busy)) | (~always3(s180)))),
% 9.24/6.74 inference(quant_inst,[status(thm)],[])).
% 9.24/6.74 tff(29757,plain,
% 9.24/6.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s180)) | (~m_main_v_state(s180, c_busy))),
% 9.24/6.74 inference(modus_ponens,[status(thm)],[29756, 29755])).
% 9.24/6.74 tff(29758,plain,
% 9.24/6.74 (~m_main_v_state(s180, c_busy)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29757, 170, 29751])).
% 9.24/6.74 tff(29759,plain,
% 9.24/6.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s179)) | (~m_main_v_state(s179, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s179)) | (~m_main_v_state(s179, c_busy)))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29760,plain,
% 9.24/6.74 (((~m_main_v_state(s179, c_busy)) | (~always3(s179))) <=> ((~always3(s179)) | (~m_main_v_state(s179, c_busy)))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29761,plain,
% 9.24/6.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s179, c_busy)) | (~always3(s179)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s179)) | (~m_main_v_state(s179, c_busy))))),
% 9.24/6.74 inference(monotonicity,[status(thm)],[29760])).
% 9.24/6.74 tff(29762,plain,
% 9.24/6.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s179, c_busy)) | (~always3(s179)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s179)) | (~m_main_v_state(s179, c_busy)))),
% 9.24/6.74 inference(transitivity,[status(thm)],[29761, 29759])).
% 9.24/6.74 tff(29763,plain,
% 9.24/6.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s179, c_busy)) | (~always3(s179)))),
% 9.24/6.74 inference(quant_inst,[status(thm)],[])).
% 9.24/6.74 tff(29764,plain,
% 9.24/6.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s179)) | (~m_main_v_state(s179, c_busy))),
% 9.24/6.74 inference(modus_ponens,[status(thm)],[29763, 29762])).
% 9.24/6.74 tff(29765,plain,
% 9.24/6.74 (~m_main_v_state(s179, c_busy)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29764, 170, 29750])).
% 9.24/6.74 tff(29766,plain,
% 9.24/6.74 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s179, c_busy) | m_main_v_state(s179, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s179, c_busy) | m_main_v_state(s179, c_ready))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29767,plain,
% 9.24/6.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s179, c_busy) | m_main_v_state(s179, c_ready))),
% 9.24/6.74 inference(quant_inst,[status(thm)],[])).
% 9.24/6.74 tff(29768,plain,
% 9.24/6.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s179, c_busy) | m_main_v_state(s179, c_ready)),
% 9.24/6.74 inference(modus_ponens,[status(thm)],[29767, 29766])).
% 9.24/6.74 tff(29769,plain,
% 9.24/6.74 (m_main_v_state(s179, c_ready)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29768, 213, 29765])).
% 9.24/6.74 tff(29770,assumption,(~m_main_v_state(s179, c_busy)), introduced(assumption)).
% 9.24/6.74 tff(29771,assumption,(node4(s178)), introduced(assumption)).
% 9.24/6.74 tff(29772,plain,
% 9.24/6.74 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s178) | (~node4(s178)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s178) | (~node4(s178)))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29773,plain,
% 9.24/6.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s178) | (~node4(s178)))),
% 9.24/6.74 inference(quant_inst,[status(thm)],[])).
% 9.24/6.74 tff(29774,plain,
% 9.24/6.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s178) | (~node4(s178))),
% 9.24/6.74 inference(modus_ponens,[status(thm)],[29773, 29772])).
% 9.24/6.74 tff(29775,plain,
% 9.24/6.74 (m_main_v_request(s178)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29774, 154, 29771])).
% 9.24/6.74 tff(29776,plain,
% 9.24/6.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s178, s179)) | node2(s178, s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s178, s179)) | node2(s178, s179))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29777,plain,
% 9.24/6.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s178, s179)) | node2(s178, s179))),
% 9.24/6.74 inference(quant_inst,[status(thm)],[])).
% 9.24/6.74 tff(29778,plain,
% 9.24/6.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s178, s179)) | node2(s178, s179)),
% 9.24/6.74 inference(modus_ponens,[status(thm)],[29777, 29776])).
% 9.24/6.74 tff(29779,plain,
% 9.24/6.74 (node2(s178, s179)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29778, 7, 7401])).
% 9.24/6.74 tff(29780,plain,
% 9.24/6.74 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s178, c_ready)) | (~node2(s178, s179)) | m_main_v_state(s179, c_busy) | (~m_main_v_request(s178)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s178, c_ready)) | (~node2(s178, s179)) | m_main_v_state(s179, c_busy) | (~m_main_v_request(s178)))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29781,plain,
% 9.24/6.74 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s178, c_ready)) | (~node2(s178, s179)) | m_main_v_state(s179, c_busy) | (~m_main_v_request(s178)))),
% 9.24/6.74 inference(quant_inst,[status(thm)],[])).
% 9.24/6.74 tff(29782,plain,
% 9.24/6.74 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s178, c_ready)) | (~node2(s178, s179)) | m_main_v_state(s179, c_busy) | (~m_main_v_request(s178))),
% 9.24/6.74 inference(modus_ponens,[status(thm)],[29781, 29780])).
% 9.24/6.74 tff(29783,plain,
% 9.24/6.74 ((~m_main_v_state(s178, c_ready)) | m_main_v_state(s179, c_busy) | (~m_main_v_request(s178))),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29782, 191, 29779])).
% 9.24/6.74 tff(29784,plain,
% 9.24/6.74 (~m_main_v_state(s178, c_ready)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29783, 29775, 29770])).
% 9.24/6.74 tff(29785,plain,
% 9.24/6.74 (always3(s178)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7409, 22, 29771])).
% 9.24/6.74 tff(29786,plain,
% 9.24/6.74 (~m_main_v_state(s178, c_busy)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29583, 170, 29785])).
% 9.24/6.74 tff(29787,plain,
% 9.24/6.74 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s178, c_busy) | m_main_v_state(s178, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s178, c_busy) | m_main_v_state(s178, c_ready))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29788,plain,
% 9.24/6.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s178, c_busy) | m_main_v_state(s178, c_ready))),
% 9.24/6.74 inference(quant_inst,[status(thm)],[])).
% 9.24/6.74 tff(29789,plain,
% 9.24/6.74 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s178, c_busy) | m_main_v_state(s178, c_ready)),
% 9.24/6.74 inference(modus_ponens,[status(thm)],[29788, 29787])).
% 9.24/6.74 tff(29790,plain,
% 9.24/6.74 ($false),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29789, 213, 29786, 29784])).
% 9.24/6.74 tff(29791,plain,((~node4(s178)) | m_main_v_state(s179, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.24/6.74 tff(29792,plain,
% 9.24/6.74 (~node4(s178)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29791, 29765])).
% 9.24/6.74 tff(29793,assumption,(until5(s178)), introduced(assumption)).
% 9.24/6.74 tff(29794,plain,
% 9.24/6.74 (xuntil6(s178) | node4(s178)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7416, 36, 29793])).
% 9.24/6.74 tff(29795,plain,
% 9.24/6.74 (xuntil6(s178)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29794, 29792])).
% 9.24/6.74 tff(29796,plain,
% 9.24/6.74 (until5(s179)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7396, 29795])).
% 9.24/6.74 tff(29797,plain,
% 9.24/6.74 (node4(s179)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29723, 29796])).
% 9.24/6.74 tff(29798,plain,
% 9.24/6.74 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s179) | (~node4(s179)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s179) | (~node4(s179)))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29799,plain,
% 9.24/6.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s179) | (~node4(s179)))),
% 9.24/6.74 inference(quant_inst,[status(thm)],[])).
% 9.24/6.74 tff(29800,plain,
% 9.24/6.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s179) | (~node4(s179))),
% 9.24/6.74 inference(modus_ponens,[status(thm)],[29799, 29798])).
% 9.24/6.74 tff(29801,plain,
% 9.24/6.74 (m_main_v_request(s179)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29800, 154, 29797])).
% 9.24/6.74 tff(29802,plain,
% 9.24/6.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s179, s180)) | node2(s179, s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s179, s180)) | node2(s179, s180))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29803,plain,
% 9.24/6.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s179, s180)) | node2(s179, s180))),
% 9.24/6.74 inference(quant_inst,[status(thm)],[])).
% 9.24/6.74 tff(29804,plain,
% 9.24/6.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s179, s180)) | node2(s179, s180)),
% 9.24/6.74 inference(modus_ponens,[status(thm)],[29803, 29802])).
% 9.24/6.74 tff(29805,plain,
% 9.24/6.74 (node2(s179, s180)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29804, 7, 7372])).
% 9.24/6.74 tff(29806,plain,
% 9.24/6.74 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s179, c_ready)) | (~node2(s179, s180)) | m_main_v_state(s180, c_busy) | (~m_main_v_request(s179)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s179, c_ready)) | (~node2(s179, s180)) | m_main_v_state(s180, c_busy) | (~m_main_v_request(s179)))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29807,plain,
% 9.24/6.74 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s179, c_ready)) | (~node2(s179, s180)) | m_main_v_state(s180, c_busy) | (~m_main_v_request(s179)))),
% 9.24/6.74 inference(quant_inst,[status(thm)],[])).
% 9.24/6.74 tff(29808,plain,
% 9.24/6.74 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s179, c_ready)) | (~node2(s179, s180)) | m_main_v_state(s180, c_busy) | (~m_main_v_request(s179))),
% 9.24/6.74 inference(modus_ponens,[status(thm)],[29807, 29806])).
% 9.24/6.74 tff(29809,plain,
% 9.24/6.74 ((~m_main_v_state(s179, c_ready)) | m_main_v_state(s180, c_busy) | (~m_main_v_request(s179))),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29808, 191, 29805])).
% 9.24/6.74 tff(29810,plain,
% 9.24/6.74 ($false),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29809, 29801, 29769, 29758])).
% 9.24/6.74 tff(29811,plain,(xuntil6(s179) | (~until5(s178))), inference(lemma,lemma(discharge,[]))).
% 9.24/6.74 tff(29812,plain,
% 9.24/6.74 (xuntil6(s179)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29811, 29717])).
% 9.24/6.74 tff(29813,plain,
% 9.24/6.74 (until5(s180)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7367, 29812])).
% 9.24/6.74 tff(29814,assumption,(~xuntil6(s181)), introduced(assumption)).
% 9.24/6.74 tff(29815,assumption,(~always3(s181)), introduced(assumption)).
% 9.24/6.74 tff(29816,plain,
% 9.24/6.74 (~always3(s180)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7347, 29815])).
% 9.24/6.74 tff(29817,plain,
% 9.24/6.74 (~node4(s180)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7351, 22, 29816])).
% 9.24/6.74 tff(29818,plain,
% 9.24/6.74 (~node4(s181)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7322, 22, 29815])).
% 9.24/6.74 tff(29819,plain,
% 9.24/6.74 (node4(s181) | (~until5(s181))),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7329, 36, 29814])).
% 9.24/6.74 tff(29820,plain,
% 9.24/6.74 (~until5(s181)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29819, 29818])).
% 9.24/6.74 tff(29821,plain,
% 9.24/6.74 (~xuntil6(s180)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7338, 29820])).
% 9.24/6.74 tff(29822,plain,
% 9.24/6.74 (~until5(s180)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7358, 36, 29821, 29817])).
% 9.24/6.74 tff(29823,plain,
% 9.24/6.74 (~xuntil6(s179)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7367, 29822])).
% 9.24/6.74 tff(29824,plain,
% 9.24/6.74 (~always3(s179)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7376, 29816])).
% 9.24/6.74 tff(29825,plain,
% 9.24/6.74 (~node4(s179)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7380, 22, 29824])).
% 9.24/6.74 tff(29826,plain,
% 9.24/6.74 (xuntil6(s179) | (~until5(s179))),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7387, 36, 29825])).
% 9.24/6.74 tff(29827,plain,
% 9.24/6.74 (~until5(s179)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29826, 29823])).
% 9.24/6.74 tff(29828,plain,
% 9.24/6.74 (~xuntil6(s178)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7396, 29827])).
% 9.24/6.74 tff(29829,plain,
% 9.24/6.74 (~always3(s178)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7405, 29824])).
% 9.24/6.74 tff(29830,plain,
% 9.24/6.74 (~node4(s178)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7409, 22, 29829])).
% 9.24/6.74 tff(29831,plain,
% 9.24/6.74 (xuntil6(s178) | (~until5(s178))),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7416, 36, 29830])).
% 9.24/6.74 tff(29832,plain,
% 9.24/6.74 (~until5(s178)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29831, 29828])).
% 9.24/6.74 tff(29833,plain,
% 9.24/6.74 (~always3(s177)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7434, 29829])).
% 9.24/6.74 tff(29834,plain,
% 9.24/6.74 (~always3(s176)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7463, 29833])).
% 9.24/6.74 tff(29835,plain,
% 9.24/6.74 (~always3(s175)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7492, 29834])).
% 9.24/6.74 tff(29836,plain,
% 9.24/6.74 (~node4(s175)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7496, 22, 29835])).
% 9.24/6.74 tff(29837,plain,
% 9.24/6.74 (~always3(s174)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7521, 29835])).
% 9.24/6.74 tff(29838,plain,
% 9.24/6.74 (~node4(s174)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7525, 22, 29837])).
% 9.24/6.74 tff(29839,plain,
% 9.24/6.74 (~always3(s173)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7550, 29837])).
% 9.24/6.74 tff(29840,plain,
% 9.24/6.74 (xuntil6(s173)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29489, 29839])).
% 9.24/6.74 tff(29841,plain,
% 9.24/6.74 (until5(s174)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7541, 29840])).
% 9.24/6.74 tff(29842,plain,
% 9.24/6.74 (xuntil6(s174) | node4(s174)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7532, 36, 29841])).
% 9.24/6.74 tff(29843,plain,
% 9.24/6.74 (xuntil6(s174)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29842, 29838])).
% 9.24/6.74 tff(29844,plain,
% 9.24/6.74 (until5(s175)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7512, 29843])).
% 9.24/6.74 tff(29845,plain,
% 9.24/6.74 (xuntil6(s175)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7503, 36, 29844, 29836])).
% 9.24/6.74 tff(29846,plain,
% 9.24/6.74 (until5(s176)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7483, 29845])).
% 9.24/6.74 tff(29847,plain,
% 9.24/6.74 (~node4(s176)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7467, 22, 29834])).
% 9.24/6.74 tff(29848,plain,
% 9.24/6.74 (xuntil6(s176) | (~until5(s176))),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7474, 36, 29847])).
% 9.24/6.74 tff(29849,plain,
% 9.24/6.74 (xuntil6(s176)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29848, 29846])).
% 9.24/6.74 tff(29850,plain,
% 9.24/6.74 (until5(s177)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7454, 29849])).
% 9.24/6.74 tff(29851,plain,
% 9.24/6.74 (~node4(s177)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7438, 22, 29833])).
% 9.24/6.74 tff(29852,plain,
% 9.24/6.74 (xuntil6(s177) | (~until5(s177))),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7445, 36, 29851])).
% 9.24/6.74 tff(29853,plain,
% 9.24/6.74 (xuntil6(s177)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29852, 29850])).
% 9.24/6.74 tff(29854,plain,
% 9.24/6.74 ($false),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7425, 29853, 29832])).
% 9.24/6.74 tff(29855,plain,(always3(s181) | xuntil6(s181)), inference(lemma,lemma(discharge,[]))).
% 9.24/6.74 tff(29856,plain,
% 9.24/6.74 (always3(s181)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29855, 29814])).
% 9.24/6.74 tff(29857,plain,
% 9.24/6.74 (always3(s182)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[7318, 29856])).
% 9.24/6.74 tff(29858,plain,
% 9.24/6.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s182)) | (~m_main_v_state(s182, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s182)) | (~m_main_v_state(s182, c_busy)))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29859,plain,
% 9.24/6.74 (((~m_main_v_state(s182, c_busy)) | (~always3(s182))) <=> ((~always3(s182)) | (~m_main_v_state(s182, c_busy)))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29860,plain,
% 9.24/6.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s182, c_busy)) | (~always3(s182)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s182)) | (~m_main_v_state(s182, c_busy))))),
% 9.24/6.74 inference(monotonicity,[status(thm)],[29859])).
% 9.24/6.74 tff(29861,plain,
% 9.24/6.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s182, c_busy)) | (~always3(s182)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s182)) | (~m_main_v_state(s182, c_busy)))),
% 9.24/6.74 inference(transitivity,[status(thm)],[29860, 29858])).
% 9.24/6.74 tff(29862,plain,
% 9.24/6.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s182, c_busy)) | (~always3(s182)))),
% 9.24/6.74 inference(quant_inst,[status(thm)],[])).
% 9.24/6.74 tff(29863,plain,
% 9.24/6.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s182)) | (~m_main_v_state(s182, c_busy))),
% 9.24/6.74 inference(modus_ponens,[status(thm)],[29862, 29861])).
% 9.24/6.74 tff(29864,plain,
% 9.24/6.74 (~m_main_v_state(s182, c_busy)),
% 9.24/6.74 inference(unit_resolution,[status(thm)],[29863, 170, 29857])).
% 9.24/6.74 tff(29865,plain,
% 9.24/6.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s181)) | (~m_main_v_state(s181, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s181)) | (~m_main_v_state(s181, c_busy)))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29866,plain,
% 9.24/6.74 (((~m_main_v_state(s181, c_busy)) | (~always3(s181))) <=> ((~always3(s181)) | (~m_main_v_state(s181, c_busy)))),
% 9.24/6.74 inference(rewrite,[status(thm)],[])).
% 9.24/6.74 tff(29867,plain,
% 9.24/6.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s181, c_busy)) | (~always3(s181)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s181)) | (~m_main_v_state(s181, c_busy))))),
% 9.24/6.75 inference(monotonicity,[status(thm)],[29866])).
% 9.24/6.75 tff(29868,plain,
% 9.24/6.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s181, c_busy)) | (~always3(s181)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s181)) | (~m_main_v_state(s181, c_busy)))),
% 9.24/6.75 inference(transitivity,[status(thm)],[29867, 29865])).
% 9.24/6.75 tff(29869,plain,
% 9.24/6.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s181, c_busy)) | (~always3(s181)))),
% 9.24/6.75 inference(quant_inst,[status(thm)],[])).
% 9.24/6.75 tff(29870,plain,
% 9.24/6.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s181)) | (~m_main_v_state(s181, c_busy))),
% 9.24/6.75 inference(modus_ponens,[status(thm)],[29869, 29868])).
% 9.24/6.75 tff(29871,plain,
% 9.24/6.75 (~m_main_v_state(s181, c_busy)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29870, 170, 29856])).
% 9.24/6.75 tff(29872,plain,
% 9.24/6.75 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s181, c_busy) | m_main_v_state(s181, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s181, c_busy) | m_main_v_state(s181, c_ready))),
% 9.24/6.75 inference(rewrite,[status(thm)],[])).
% 9.24/6.75 tff(29873,plain,
% 9.24/6.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s181, c_busy) | m_main_v_state(s181, c_ready))),
% 9.24/6.75 inference(quant_inst,[status(thm)],[])).
% 9.24/6.75 tff(29874,plain,
% 9.24/6.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s181, c_busy) | m_main_v_state(s181, c_ready)),
% 9.24/6.75 inference(modus_ponens,[status(thm)],[29873, 29872])).
% 9.24/6.75 tff(29875,plain,
% 9.24/6.75 (m_main_v_state(s181, c_ready)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29874, 213, 29871])).
% 9.24/6.75 tff(29876,assumption,(~m_main_v_state(s181, c_busy)), introduced(assumption)).
% 9.24/6.75 tff(29877,assumption,(node4(s180)), introduced(assumption)).
% 9.24/6.75 tff(29878,plain,
% 9.24/6.75 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s180) | (~node4(s180)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s180) | (~node4(s180)))),
% 9.24/6.75 inference(rewrite,[status(thm)],[])).
% 9.24/6.75 tff(29879,plain,
% 9.24/6.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s180) | (~node4(s180)))),
% 9.24/6.75 inference(quant_inst,[status(thm)],[])).
% 9.24/6.75 tff(29880,plain,
% 9.24/6.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s180) | (~node4(s180))),
% 9.24/6.75 inference(modus_ponens,[status(thm)],[29879, 29878])).
% 9.24/6.75 tff(29881,plain,
% 9.24/6.75 (m_main_v_request(s180)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29880, 154, 29877])).
% 9.24/6.75 tff(29882,plain,
% 9.24/6.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s180, s181)) | node2(s180, s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s180, s181)) | node2(s180, s181))),
% 9.24/6.75 inference(rewrite,[status(thm)],[])).
% 9.24/6.75 tff(29883,plain,
% 9.24/6.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s180, s181)) | node2(s180, s181))),
% 9.24/6.75 inference(quant_inst,[status(thm)],[])).
% 9.24/6.75 tff(29884,plain,
% 9.24/6.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s180, s181)) | node2(s180, s181)),
% 9.24/6.75 inference(modus_ponens,[status(thm)],[29883, 29882])).
% 9.24/6.75 tff(29885,plain,
% 9.24/6.75 (node2(s180, s181)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29884, 7, 7343])).
% 9.24/6.75 tff(29886,plain,
% 9.24/6.75 (((~![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(s180, c_ready)) | (~node2(s180, s181)) | m_main_v_state(s181, c_busy) | (~m_main_v_request(s180)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s180, c_ready)) | (~node2(s180, s181)) | m_main_v_state(s181, c_busy) | (~m_main_v_request(s180)))),
% 9.24/6.75 inference(rewrite,[status(thm)],[])).
% 9.24/6.75 tff(29887,plain,
% 9.24/6.75 ((~![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(s180, c_ready)) | (~node2(s180, s181)) | m_main_v_state(s181, c_busy) | (~m_main_v_request(s180)))),
% 9.24/6.75 inference(quant_inst,[status(thm)],[])).
% 9.24/6.75 tff(29888,plain,
% 9.24/6.75 ((~![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(s180, c_ready)) | (~node2(s180, s181)) | m_main_v_state(s181, c_busy) | (~m_main_v_request(s180))),
% 9.24/6.75 inference(modus_ponens,[status(thm)],[29887, 29886])).
% 9.24/6.75 tff(29889,plain,
% 9.24/6.75 ((~m_main_v_state(s180, c_ready)) | m_main_v_state(s181, c_busy) | (~m_main_v_request(s180))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29888, 191, 29885])).
% 9.24/6.75 tff(29890,plain,
% 9.24/6.75 (~m_main_v_state(s180, c_ready)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29889, 29881, 29876])).
% 9.24/6.75 tff(29891,plain,
% 9.24/6.75 (always3(s180)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7351, 22, 29877])).
% 9.24/6.75 tff(29892,plain,
% 9.24/6.75 (~m_main_v_state(s180, c_busy)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29757, 170, 29891])).
% 9.24/6.75 tff(29893,plain,
% 9.24/6.75 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s180, c_busy) | m_main_v_state(s180, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s180, c_busy) | m_main_v_state(s180, c_ready))),
% 9.24/6.75 inference(rewrite,[status(thm)],[])).
% 9.24/6.75 tff(29894,plain,
% 9.24/6.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s180, c_busy) | m_main_v_state(s180, c_ready))),
% 9.24/6.75 inference(quant_inst,[status(thm)],[])).
% 9.24/6.75 tff(29895,plain,
% 9.24/6.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s180, c_busy) | m_main_v_state(s180, c_ready)),
% 9.24/6.75 inference(modus_ponens,[status(thm)],[29894, 29893])).
% 9.24/6.75 tff(29896,plain,
% 9.24/6.75 ($false),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29895, 213, 29892, 29890])).
% 9.24/6.75 tff(29897,plain,((~node4(s180)) | m_main_v_state(s181, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.24/6.75 tff(29898,plain,
% 9.24/6.75 (~node4(s180)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29897, 29871])).
% 9.24/6.75 tff(29899,assumption,(until5(s180)), introduced(assumption)).
% 9.24/6.75 tff(29900,plain,
% 9.24/6.75 (xuntil6(s180) | node4(s180)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7358, 36, 29899])).
% 9.24/6.75 tff(29901,plain,
% 9.24/6.75 (xuntil6(s180)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29900, 29898])).
% 9.24/6.75 tff(29902,plain,
% 9.24/6.75 (until5(s181)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7338, 29901])).
% 9.24/6.75 tff(29903,plain,
% 9.24/6.75 (node4(s181)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29819, 29902])).
% 9.24/6.75 tff(29904,plain,
% 9.24/6.75 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s181) | (~node4(s181)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s181) | (~node4(s181)))),
% 9.24/6.75 inference(rewrite,[status(thm)],[])).
% 9.24/6.75 tff(29905,plain,
% 9.24/6.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s181) | (~node4(s181)))),
% 9.24/6.75 inference(quant_inst,[status(thm)],[])).
% 9.24/6.75 tff(29906,plain,
% 9.24/6.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s181) | (~node4(s181))),
% 9.24/6.75 inference(modus_ponens,[status(thm)],[29905, 29904])).
% 9.24/6.75 tff(29907,plain,
% 9.24/6.75 (m_main_v_request(s181)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29906, 154, 29903])).
% 9.24/6.75 tff(29908,plain,
% 9.24/6.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s181, s182)) | node2(s181, s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s181, s182)) | node2(s181, s182))),
% 9.24/6.75 inference(rewrite,[status(thm)],[])).
% 9.24/6.75 tff(29909,plain,
% 9.24/6.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s181, s182)) | node2(s181, s182))),
% 9.24/6.75 inference(quant_inst,[status(thm)],[])).
% 9.24/6.75 tff(29910,plain,
% 9.24/6.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s181, s182)) | node2(s181, s182)),
% 9.24/6.75 inference(modus_ponens,[status(thm)],[29909, 29908])).
% 9.24/6.75 tff(29911,plain,
% 9.24/6.75 (node2(s181, s182)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29910, 7, 7314])).
% 9.24/6.75 tff(29912,plain,
% 9.24/6.75 (((~![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(s181, c_ready)) | (~node2(s181, s182)) | m_main_v_state(s182, c_busy) | (~m_main_v_request(s181)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s181, c_ready)) | (~node2(s181, s182)) | m_main_v_state(s182, c_busy) | (~m_main_v_request(s181)))),
% 9.24/6.75 inference(rewrite,[status(thm)],[])).
% 9.24/6.75 tff(29913,plain,
% 9.24/6.75 ((~![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(s181, c_ready)) | (~node2(s181, s182)) | m_main_v_state(s182, c_busy) | (~m_main_v_request(s181)))),
% 9.24/6.75 inference(quant_inst,[status(thm)],[])).
% 9.24/6.75 tff(29914,plain,
% 9.24/6.75 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s181, c_ready)) | (~node2(s181, s182)) | m_main_v_state(s182, c_busy) | (~m_main_v_request(s181))),
% 9.24/6.75 inference(modus_ponens,[status(thm)],[29913, 29912])).
% 9.24/6.75 tff(29915,plain,
% 9.24/6.75 ((~m_main_v_state(s181, c_ready)) | m_main_v_state(s182, c_busy) | (~m_main_v_request(s181))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29914, 191, 29911])).
% 9.24/6.75 tff(29916,plain,
% 9.24/6.75 ($false),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29915, 29907, 29875, 29864])).
% 9.24/6.75 tff(29917,plain,(xuntil6(s181) | (~until5(s180))), inference(lemma,lemma(discharge,[]))).
% 9.24/6.75 tff(29918,plain,
% 9.24/6.75 (xuntil6(s181)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29917, 29813])).
% 9.24/6.75 tff(29919,plain,
% 9.24/6.75 (until5(s182)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7309, 29918])).
% 9.24/6.75 tff(29920,assumption,(~xuntil6(s192)), introduced(assumption)).
% 9.24/6.75 tff(29921,assumption,(~always3(s192)), introduced(assumption)).
% 9.24/6.75 tff(29922,plain,
% 9.24/6.75 (~always3(s191)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7028, 29921])).
% 9.24/6.75 tff(29923,plain,
% 9.24/6.75 (~node4(s191)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7032, 22, 29922])).
% 9.24/6.75 tff(29924,plain,
% 9.24/6.75 (~node4(s192)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7003, 22, 29921])).
% 9.24/6.75 tff(29925,plain,
% 9.24/6.75 (node4(s192) | (~until5(s192))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7010, 36, 29920])).
% 9.24/6.75 tff(29926,plain,
% 9.24/6.75 (~until5(s192)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29925, 29924])).
% 9.24/6.75 tff(29927,plain,
% 9.24/6.75 (~xuntil6(s191)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7019, 29926])).
% 9.24/6.75 tff(29928,plain,
% 9.24/6.75 (~until5(s191)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7039, 36, 29927, 29923])).
% 9.24/6.75 tff(29929,plain,
% 9.24/6.75 (~xuntil6(s190)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7048, 29928])).
% 9.24/6.75 tff(29930,plain,
% 9.24/6.75 (~always3(s190)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7057, 29922])).
% 9.24/6.75 tff(29931,plain,
% 9.24/6.75 (~node4(s190)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7061, 22, 29930])).
% 9.24/6.75 tff(29932,plain,
% 9.24/6.75 (xuntil6(s190) | (~until5(s190))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7068, 36, 29931])).
% 9.24/6.75 tff(29933,plain,
% 9.24/6.75 (~until5(s190)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29932, 29929])).
% 9.24/6.75 tff(29934,plain,
% 9.24/6.75 (~xuntil6(s189)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7077, 29933])).
% 9.24/6.75 tff(29935,plain,
% 9.24/6.75 (~always3(s189)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7086, 29930])).
% 9.24/6.75 tff(29936,plain,
% 9.24/6.75 (~node4(s189)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7090, 22, 29935])).
% 9.24/6.75 tff(29937,plain,
% 9.24/6.75 (xuntil6(s189) | (~until5(s189))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7097, 36, 29936])).
% 9.24/6.75 tff(29938,plain,
% 9.24/6.75 (~until5(s189)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29937, 29934])).
% 9.24/6.75 tff(29939,plain,
% 9.24/6.75 (~xuntil6(s188)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7106, 29938])).
% 9.24/6.75 tff(29940,plain,
% 9.24/6.75 (~always3(s188)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7115, 29935])).
% 9.24/6.75 tff(29941,plain,
% 9.24/6.75 (~node4(s188)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7119, 22, 29940])).
% 9.24/6.75 tff(29942,plain,
% 9.24/6.75 (xuntil6(s188) | (~until5(s188))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7126, 36, 29941])).
% 9.24/6.75 tff(29943,plain,
% 9.24/6.75 (~until5(s188)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29942, 29939])).
% 9.24/6.75 tff(29944,plain,
% 9.24/6.75 (~xuntil6(s187)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7135, 29943])).
% 9.24/6.75 tff(29945,plain,
% 9.24/6.75 (~always3(s187)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7144, 29940])).
% 9.24/6.75 tff(29946,plain,
% 9.24/6.75 (~node4(s187)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7148, 22, 29945])).
% 9.24/6.75 tff(29947,plain,
% 9.24/6.75 (xuntil6(s187) | (~until5(s187))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7155, 36, 29946])).
% 9.24/6.75 tff(29948,plain,
% 9.24/6.75 (~until5(s187)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29947, 29944])).
% 9.24/6.75 tff(29949,plain,
% 9.24/6.75 (~xuntil6(s186)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7164, 29948])).
% 9.24/6.75 tff(29950,plain,
% 9.24/6.75 (~always3(s186)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7173, 29945])).
% 9.24/6.75 tff(29951,plain,
% 9.24/6.75 (~node4(s186)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7177, 22, 29950])).
% 9.24/6.75 tff(29952,plain,
% 9.24/6.75 (xuntil6(s186) | (~until5(s186))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7184, 36, 29951])).
% 9.24/6.75 tff(29953,plain,
% 9.24/6.75 (~until5(s186)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29952, 29949])).
% 9.24/6.75 tff(29954,plain,
% 9.24/6.75 (~xuntil6(s185)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7193, 29953])).
% 9.24/6.75 tff(29955,plain,
% 9.24/6.75 (~always3(s185)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7202, 29950])).
% 9.24/6.75 tff(29956,plain,
% 9.24/6.75 (~node4(s185)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7206, 22, 29955])).
% 9.24/6.75 tff(29957,plain,
% 9.24/6.75 (xuntil6(s185) | (~until5(s185))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7213, 36, 29956])).
% 9.24/6.75 tff(29958,plain,
% 9.24/6.75 (~until5(s185)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29957, 29954])).
% 9.24/6.75 tff(29959,plain,
% 9.24/6.75 (~xuntil6(s184)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7222, 29958])).
% 9.24/6.75 tff(29960,plain,
% 9.24/6.75 (~always3(s184)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7231, 29955])).
% 9.24/6.75 tff(29961,plain,
% 9.24/6.75 (~node4(s184)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7235, 22, 29960])).
% 9.24/6.75 tff(29962,plain,
% 9.24/6.75 (xuntil6(s184) | (~until5(s184))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7242, 36, 29961])).
% 9.24/6.75 tff(29963,plain,
% 9.24/6.75 (~until5(s184)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29962, 29959])).
% 9.24/6.75 tff(29964,plain,
% 9.24/6.75 (~xuntil6(s183)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7251, 29963])).
% 9.24/6.75 tff(29965,plain,
% 9.24/6.75 (~always3(s183)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7260, 29960])).
% 9.24/6.75 tff(29966,plain,
% 9.24/6.75 (~always3(s182)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7289, 29965])).
% 9.24/6.75 tff(29967,plain,
% 9.24/6.75 (~always3(s181)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7318, 29966])).
% 9.24/6.75 tff(29968,plain,
% 9.24/6.75 (~always3(s180)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7347, 29967])).
% 9.24/6.75 tff(29969,plain,
% 9.24/6.75 (~always3(s179)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7376, 29968])).
% 9.24/6.75 tff(29970,plain,
% 9.24/6.75 (~always3(s178)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7405, 29969])).
% 9.24/6.75 tff(29971,plain,
% 9.24/6.75 (~always3(s177)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7434, 29970])).
% 9.24/6.75 tff(29972,plain,
% 9.24/6.75 (~always3(s176)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7463, 29971])).
% 9.24/6.75 tff(29973,plain,
% 9.24/6.75 (~always3(s175)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7492, 29972])).
% 9.24/6.75 tff(29974,plain,
% 9.24/6.75 (~node4(s175)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7496, 22, 29973])).
% 9.24/6.75 tff(29975,plain,
% 9.24/6.75 (~always3(s174)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7521, 29973])).
% 9.24/6.75 tff(29976,plain,
% 9.24/6.75 (~node4(s174)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7525, 22, 29975])).
% 9.24/6.75 tff(29977,plain,
% 9.24/6.75 (~always3(s173)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7550, 29975])).
% 9.24/6.75 tff(29978,plain,
% 9.24/6.75 (xuntil6(s173)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29489, 29977])).
% 9.24/6.75 tff(29979,plain,
% 9.24/6.75 (until5(s174)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7541, 29978])).
% 9.24/6.75 tff(29980,plain,
% 9.24/6.75 (xuntil6(s174) | node4(s174)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7532, 36, 29979])).
% 9.24/6.75 tff(29981,plain,
% 9.24/6.75 (xuntil6(s174)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29980, 29976])).
% 9.24/6.75 tff(29982,plain,
% 9.24/6.75 (until5(s175)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7512, 29981])).
% 9.24/6.75 tff(29983,plain,
% 9.24/6.75 (xuntil6(s175)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7503, 36, 29982, 29974])).
% 9.24/6.75 tff(29984,plain,
% 9.24/6.75 (until5(s176)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7483, 29983])).
% 9.24/6.75 tff(29985,plain,
% 9.24/6.75 (~node4(s176)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7467, 22, 29972])).
% 9.24/6.75 tff(29986,plain,
% 9.24/6.75 (xuntil6(s176) | (~until5(s176))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7474, 36, 29985])).
% 9.24/6.75 tff(29987,plain,
% 9.24/6.75 (xuntil6(s176)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29986, 29984])).
% 9.24/6.75 tff(29988,plain,
% 9.24/6.75 (until5(s177)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7454, 29987])).
% 9.24/6.75 tff(29989,plain,
% 9.24/6.75 (~node4(s177)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7438, 22, 29971])).
% 9.24/6.75 tff(29990,plain,
% 9.24/6.75 (xuntil6(s177) | (~until5(s177))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7445, 36, 29989])).
% 9.24/6.75 tff(29991,plain,
% 9.24/6.75 (xuntil6(s177)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29990, 29988])).
% 9.24/6.75 tff(29992,plain,
% 9.24/6.75 (until5(s178)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7425, 29991])).
% 9.24/6.75 tff(29993,plain,
% 9.24/6.75 (~node4(s178)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7409, 22, 29970])).
% 9.24/6.75 tff(29994,plain,
% 9.24/6.75 (xuntil6(s178) | (~until5(s178))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7416, 36, 29993])).
% 9.24/6.75 tff(29995,plain,
% 9.24/6.75 (xuntil6(s178)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29994, 29992])).
% 9.24/6.75 tff(29996,plain,
% 9.24/6.75 (until5(s179)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7396, 29995])).
% 9.24/6.75 tff(29997,plain,
% 9.24/6.75 (~node4(s179)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7380, 22, 29969])).
% 9.24/6.75 tff(29998,plain,
% 9.24/6.75 (xuntil6(s179) | (~until5(s179))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7387, 36, 29997])).
% 9.24/6.75 tff(29999,plain,
% 9.24/6.75 (xuntil6(s179)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[29998, 29996])).
% 9.24/6.75 tff(30000,plain,
% 9.24/6.75 (until5(s180)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7367, 29999])).
% 9.24/6.75 tff(30001,plain,
% 9.24/6.75 (~node4(s180)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7351, 22, 29968])).
% 9.24/6.75 tff(30002,plain,
% 9.24/6.75 (xuntil6(s180) | (~until5(s180))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7358, 36, 30001])).
% 9.24/6.75 tff(30003,plain,
% 9.24/6.75 (xuntil6(s180)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30002, 30000])).
% 9.24/6.75 tff(30004,plain,
% 9.24/6.75 (until5(s181)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7338, 30003])).
% 9.24/6.75 tff(30005,plain,
% 9.24/6.75 (~node4(s181)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7322, 22, 29967])).
% 9.24/6.75 tff(30006,plain,
% 9.24/6.75 (xuntil6(s181) | (~until5(s181))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7329, 36, 30005])).
% 9.24/6.75 tff(30007,plain,
% 9.24/6.75 (xuntil6(s181)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30006, 30004])).
% 9.24/6.75 tff(30008,plain,
% 9.24/6.75 (until5(s182)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7309, 30007])).
% 9.24/6.75 tff(30009,plain,
% 9.24/6.75 (~node4(s182)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7293, 22, 29966])).
% 9.24/6.75 tff(30010,plain,
% 9.24/6.75 (xuntil6(s182) | (~until5(s182))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7300, 36, 30009])).
% 9.24/6.75 tff(30011,plain,
% 9.24/6.75 (xuntil6(s182)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30010, 30008])).
% 9.24/6.75 tff(30012,plain,
% 9.24/6.75 (until5(s183)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7280, 30011])).
% 9.24/6.75 tff(30013,plain,
% 9.24/6.75 (~node4(s183)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7264, 22, 29965])).
% 9.24/6.75 tff(30014,plain,
% 9.24/6.75 (xuntil6(s183) | (~until5(s183))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7271, 36, 30013])).
% 9.24/6.75 tff(30015,plain,
% 9.24/6.75 ($false),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30014, 30012, 29964])).
% 9.24/6.75 tff(30016,plain,(always3(s192) | xuntil6(s192)), inference(lemma,lemma(discharge,[]))).
% 9.24/6.75 tff(30017,plain,
% 9.24/6.75 (always3(s192)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30016, 29920])).
% 9.24/6.75 tff(30018,plain,
% 9.24/6.75 (always3(s193)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[6999, 30017])).
% 9.24/6.75 tff(30019,plain,
% 9.24/6.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s193)) | (~m_main_v_state(s193, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s193)) | (~m_main_v_state(s193, c_busy)))),
% 9.24/6.75 inference(rewrite,[status(thm)],[])).
% 9.24/6.75 tff(30020,plain,
% 9.24/6.75 (((~m_main_v_state(s193, c_busy)) | (~always3(s193))) <=> ((~always3(s193)) | (~m_main_v_state(s193, c_busy)))),
% 9.24/6.75 inference(rewrite,[status(thm)],[])).
% 9.24/6.75 tff(30021,plain,
% 9.24/6.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s193, c_busy)) | (~always3(s193)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s193)) | (~m_main_v_state(s193, c_busy))))),
% 9.24/6.75 inference(monotonicity,[status(thm)],[30020])).
% 9.24/6.75 tff(30022,plain,
% 9.24/6.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s193, c_busy)) | (~always3(s193)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s193)) | (~m_main_v_state(s193, c_busy)))),
% 9.24/6.75 inference(transitivity,[status(thm)],[30021, 30019])).
% 9.24/6.75 tff(30023,plain,
% 9.24/6.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s193, c_busy)) | (~always3(s193)))),
% 9.24/6.75 inference(quant_inst,[status(thm)],[])).
% 9.24/6.75 tff(30024,plain,
% 9.24/6.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s193)) | (~m_main_v_state(s193, c_busy))),
% 9.24/6.75 inference(modus_ponens,[status(thm)],[30023, 30022])).
% 9.24/6.75 tff(30025,plain,
% 9.24/6.75 (~m_main_v_state(s193, c_busy)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30024, 170, 30018])).
% 9.24/6.75 tff(30026,plain,
% 9.24/6.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s192)) | (~m_main_v_state(s192, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s192)) | (~m_main_v_state(s192, c_busy)))),
% 9.24/6.75 inference(rewrite,[status(thm)],[])).
% 9.24/6.75 tff(30027,plain,
% 9.24/6.75 (((~m_main_v_state(s192, c_busy)) | (~always3(s192))) <=> ((~always3(s192)) | (~m_main_v_state(s192, c_busy)))),
% 9.24/6.75 inference(rewrite,[status(thm)],[])).
% 9.24/6.75 tff(30028,plain,
% 9.24/6.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s192, c_busy)) | (~always3(s192)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s192)) | (~m_main_v_state(s192, c_busy))))),
% 9.24/6.75 inference(monotonicity,[status(thm)],[30027])).
% 9.24/6.75 tff(30029,plain,
% 9.24/6.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s192, c_busy)) | (~always3(s192)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s192)) | (~m_main_v_state(s192, c_busy)))),
% 9.24/6.75 inference(transitivity,[status(thm)],[30028, 30026])).
% 9.24/6.75 tff(30030,plain,
% 9.24/6.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s192, c_busy)) | (~always3(s192)))),
% 9.24/6.75 inference(quant_inst,[status(thm)],[])).
% 9.24/6.75 tff(30031,plain,
% 9.24/6.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s192)) | (~m_main_v_state(s192, c_busy))),
% 9.24/6.75 inference(modus_ponens,[status(thm)],[30030, 30029])).
% 9.24/6.75 tff(30032,plain,
% 9.24/6.75 (~m_main_v_state(s192, c_busy)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30031, 170, 30017])).
% 9.24/6.75 tff(30033,plain,
% 9.24/6.75 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s192, c_busy) | m_main_v_state(s192, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s192, c_busy) | m_main_v_state(s192, c_ready))),
% 9.24/6.75 inference(rewrite,[status(thm)],[])).
% 9.24/6.75 tff(30034,plain,
% 9.24/6.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s192, c_busy) | m_main_v_state(s192, c_ready))),
% 9.24/6.75 inference(quant_inst,[status(thm)],[])).
% 9.24/6.75 tff(30035,plain,
% 9.24/6.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s192, c_busy) | m_main_v_state(s192, c_ready)),
% 9.24/6.75 inference(modus_ponens,[status(thm)],[30034, 30033])).
% 9.24/6.75 tff(30036,plain,
% 9.24/6.75 (m_main_v_state(s192, c_ready)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30035, 213, 30032])).
% 9.24/6.75 tff(30037,assumption,(until5(s182)), introduced(assumption)).
% 9.24/6.75 tff(30038,assumption,(~xuntil6(s191)), introduced(assumption)).
% 9.24/6.75 tff(30039,assumption,(~always3(s191)), introduced(assumption)).
% 9.24/6.75 tff(30040,plain,
% 9.24/6.75 (~always3(s190)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7057, 30039])).
% 9.24/6.75 tff(30041,plain,
% 9.24/6.75 (~always3(s189)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7086, 30040])).
% 9.24/6.75 tff(30042,plain,
% 9.24/6.75 (~always3(s188)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7115, 30041])).
% 9.24/6.75 tff(30043,plain,
% 9.24/6.75 (~always3(s187)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7144, 30042])).
% 9.24/6.75 tff(30044,plain,
% 9.24/6.75 (~always3(s186)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7173, 30043])).
% 9.24/6.75 tff(30045,plain,
% 9.24/6.75 (~always3(s185)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7202, 30044])).
% 9.24/6.75 tff(30046,plain,
% 9.24/6.75 (~always3(s184)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7231, 30045])).
% 9.24/6.75 tff(30047,plain,
% 9.24/6.75 (~always3(s183)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7260, 30046])).
% 9.24/6.75 tff(30048,plain,
% 9.24/6.75 (~node4(s183)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7264, 22, 30047])).
% 9.24/6.75 tff(30049,plain,
% 9.24/6.75 (~always3(s182)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7289, 30047])).
% 9.24/6.75 tff(30050,plain,
% 9.24/6.75 (~node4(s182)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7293, 22, 30049])).
% 9.24/6.75 tff(30051,plain,
% 9.24/6.75 (xuntil6(s182) | node4(s182)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7300, 36, 30037])).
% 9.24/6.75 tff(30052,plain,
% 9.24/6.75 (xuntil6(s182)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30051, 30050])).
% 9.24/6.75 tff(30053,plain,
% 9.24/6.75 (until5(s183)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7280, 30052])).
% 9.24/6.75 tff(30054,plain,
% 9.24/6.75 (xuntil6(s183)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7271, 36, 30053, 30048])).
% 9.24/6.75 tff(30055,plain,
% 9.24/6.75 (until5(s184)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7251, 30054])).
% 9.24/6.75 tff(30056,plain,
% 9.24/6.75 (~node4(s184)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7235, 22, 30046])).
% 9.24/6.75 tff(30057,plain,
% 9.24/6.75 (xuntil6(s184) | (~until5(s184))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7242, 36, 30056])).
% 9.24/6.75 tff(30058,plain,
% 9.24/6.75 (xuntil6(s184)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30057, 30055])).
% 9.24/6.75 tff(30059,plain,
% 9.24/6.75 (until5(s185)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7222, 30058])).
% 9.24/6.75 tff(30060,plain,
% 9.24/6.75 (~node4(s185)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7206, 22, 30045])).
% 9.24/6.75 tff(30061,plain,
% 9.24/6.75 (xuntil6(s185) | (~until5(s185))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7213, 36, 30060])).
% 9.24/6.75 tff(30062,plain,
% 9.24/6.75 (xuntil6(s185)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30061, 30059])).
% 9.24/6.75 tff(30063,plain,
% 9.24/6.75 (until5(s186)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7193, 30062])).
% 9.24/6.75 tff(30064,plain,
% 9.24/6.75 (~node4(s186)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7177, 22, 30044])).
% 9.24/6.75 tff(30065,plain,
% 9.24/6.75 (xuntil6(s186) | (~until5(s186))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7184, 36, 30064])).
% 9.24/6.75 tff(30066,plain,
% 9.24/6.75 (xuntil6(s186)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30065, 30063])).
% 9.24/6.75 tff(30067,plain,
% 9.24/6.75 (until5(s187)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7164, 30066])).
% 9.24/6.75 tff(30068,plain,
% 9.24/6.75 (~node4(s187)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7148, 22, 30043])).
% 9.24/6.75 tff(30069,plain,
% 9.24/6.75 (xuntil6(s187) | (~until5(s187))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7155, 36, 30068])).
% 9.24/6.75 tff(30070,plain,
% 9.24/6.75 (xuntil6(s187)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30069, 30067])).
% 9.24/6.75 tff(30071,plain,
% 9.24/6.75 (until5(s188)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7135, 30070])).
% 9.24/6.75 tff(30072,plain,
% 9.24/6.75 (~node4(s188)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7119, 22, 30042])).
% 9.24/6.75 tff(30073,plain,
% 9.24/6.75 (xuntil6(s188) | (~until5(s188))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7126, 36, 30072])).
% 9.24/6.75 tff(30074,plain,
% 9.24/6.75 (xuntil6(s188)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30073, 30071])).
% 9.24/6.75 tff(30075,plain,
% 9.24/6.75 (until5(s189)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7106, 30074])).
% 9.24/6.75 tff(30076,plain,
% 9.24/6.75 (~node4(s189)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7090, 22, 30041])).
% 9.24/6.75 tff(30077,plain,
% 9.24/6.75 (xuntil6(s189) | (~until5(s189))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7097, 36, 30076])).
% 9.24/6.75 tff(30078,plain,
% 9.24/6.75 (xuntil6(s189)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30077, 30075])).
% 9.24/6.75 tff(30079,plain,
% 9.24/6.75 (until5(s190)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7077, 30078])).
% 9.24/6.75 tff(30080,plain,
% 9.24/6.75 (~node4(s190)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7061, 22, 30040])).
% 9.24/6.75 tff(30081,plain,
% 9.24/6.75 (xuntil6(s190) | (~until5(s190))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7068, 36, 30080])).
% 9.24/6.75 tff(30082,plain,
% 9.24/6.75 (xuntil6(s190)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30081, 30079])).
% 9.24/6.75 tff(30083,plain,
% 9.24/6.75 (until5(s191)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7048, 30082])).
% 9.24/6.75 tff(30084,plain,
% 9.24/6.75 (node4(s191) | (~until5(s191))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7039, 36, 30038])).
% 9.24/6.75 tff(30085,plain,
% 9.24/6.75 (node4(s191)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30084, 30083])).
% 9.24/6.75 tff(30086,plain,
% 9.24/6.75 ($false),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7032, 22, 30039, 30085])).
% 9.24/6.75 tff(30087,plain,(always3(s191) | xuntil6(s191) | (~until5(s182))), inference(lemma,lemma(discharge,[]))).
% 9.24/6.75 tff(30088,plain,
% 9.24/6.75 (always3(s191)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30087, 30037, 30038])).
% 9.24/6.75 tff(30089,plain,
% 9.24/6.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s191)) | (~m_main_v_state(s191, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s191)) | (~m_main_v_state(s191, c_busy)))),
% 9.24/6.75 inference(rewrite,[status(thm)],[])).
% 9.24/6.75 tff(30090,plain,
% 9.24/6.75 (((~m_main_v_state(s191, c_busy)) | (~always3(s191))) <=> ((~always3(s191)) | (~m_main_v_state(s191, c_busy)))),
% 9.24/6.75 inference(rewrite,[status(thm)],[])).
% 9.24/6.75 tff(30091,plain,
% 9.24/6.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s191, c_busy)) | (~always3(s191)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s191)) | (~m_main_v_state(s191, c_busy))))),
% 9.24/6.75 inference(monotonicity,[status(thm)],[30090])).
% 9.24/6.75 tff(30092,plain,
% 9.24/6.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s191, c_busy)) | (~always3(s191)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s191)) | (~m_main_v_state(s191, c_busy)))),
% 9.24/6.75 inference(transitivity,[status(thm)],[30091, 30089])).
% 9.24/6.75 tff(30093,plain,
% 9.24/6.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s191, c_busy)) | (~always3(s191)))),
% 9.24/6.75 inference(quant_inst,[status(thm)],[])).
% 9.24/6.75 tff(30094,plain,
% 9.24/6.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s191)) | (~m_main_v_state(s191, c_busy))),
% 9.24/6.75 inference(modus_ponens,[status(thm)],[30093, 30092])).
% 9.24/6.75 tff(30095,plain,
% 9.24/6.75 (~m_main_v_state(s191, c_busy)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30094, 170, 30088])).
% 9.24/6.75 tff(30096,assumption,(~m_main_v_state(s191, c_busy)), introduced(assumption)).
% 9.24/6.75 tff(30097,assumption,(node4(s190)), introduced(assumption)).
% 9.24/6.75 tff(30098,plain,
% 9.24/6.75 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s190) | (~node4(s190)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s190) | (~node4(s190)))),
% 9.24/6.75 inference(rewrite,[status(thm)],[])).
% 9.24/6.75 tff(30099,plain,
% 9.24/6.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s190) | (~node4(s190)))),
% 9.24/6.75 inference(quant_inst,[status(thm)],[])).
% 9.24/6.75 tff(30100,plain,
% 9.24/6.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s190) | (~node4(s190))),
% 9.24/6.75 inference(modus_ponens,[status(thm)],[30099, 30098])).
% 9.24/6.75 tff(30101,plain,
% 9.24/6.75 (m_main_v_request(s190)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30100, 154, 30097])).
% 9.24/6.75 tff(30102,plain,
% 9.24/6.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s190, s191)) | node2(s190, s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s190, s191)) | node2(s190, s191))),
% 9.24/6.75 inference(rewrite,[status(thm)],[])).
% 9.24/6.75 tff(30103,plain,
% 9.24/6.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s190, s191)) | node2(s190, s191))),
% 9.24/6.75 inference(quant_inst,[status(thm)],[])).
% 9.24/6.75 tff(30104,plain,
% 9.24/6.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s190, s191)) | node2(s190, s191)),
% 9.24/6.75 inference(modus_ponens,[status(thm)],[30103, 30102])).
% 9.24/6.75 tff(30105,plain,
% 9.24/6.75 (node2(s190, s191)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30104, 7, 7053])).
% 9.24/6.75 tff(30106,plain,
% 9.24/6.75 (((~![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(s190, c_ready)) | (~node2(s190, s191)) | m_main_v_state(s191, c_busy) | (~m_main_v_request(s190)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s190, c_ready)) | (~node2(s190, s191)) | m_main_v_state(s191, c_busy) | (~m_main_v_request(s190)))),
% 9.24/6.75 inference(rewrite,[status(thm)],[])).
% 9.24/6.75 tff(30107,plain,
% 9.24/6.75 ((~![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(s190, c_ready)) | (~node2(s190, s191)) | m_main_v_state(s191, c_busy) | (~m_main_v_request(s190)))),
% 9.24/6.75 inference(quant_inst,[status(thm)],[])).
% 9.24/6.75 tff(30108,plain,
% 9.24/6.75 ((~![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(s190, c_ready)) | (~node2(s190, s191)) | m_main_v_state(s191, c_busy) | (~m_main_v_request(s190))),
% 9.24/6.75 inference(modus_ponens,[status(thm)],[30107, 30106])).
% 9.24/6.75 tff(30109,plain,
% 9.24/6.75 ((~m_main_v_state(s190, c_ready)) | m_main_v_state(s191, c_busy) | (~m_main_v_request(s190))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30108, 191, 30105])).
% 9.24/6.75 tff(30110,plain,
% 9.24/6.75 (~m_main_v_state(s190, c_ready)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30109, 30101, 30096])).
% 9.24/6.75 tff(30111,plain,
% 9.24/6.75 (always3(s190)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7061, 22, 30097])).
% 9.24/6.75 tff(30112,plain,
% 9.24/6.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s190)) | (~m_main_v_state(s190, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s190)) | (~m_main_v_state(s190, c_busy)))),
% 9.24/6.75 inference(rewrite,[status(thm)],[])).
% 9.24/6.75 tff(30113,plain,
% 9.24/6.75 (((~m_main_v_state(s190, c_busy)) | (~always3(s190))) <=> ((~always3(s190)) | (~m_main_v_state(s190, c_busy)))),
% 9.24/6.75 inference(rewrite,[status(thm)],[])).
% 9.24/6.75 tff(30114,plain,
% 9.24/6.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s190, c_busy)) | (~always3(s190)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s190)) | (~m_main_v_state(s190, c_busy))))),
% 9.24/6.75 inference(monotonicity,[status(thm)],[30113])).
% 9.24/6.75 tff(30115,plain,
% 9.24/6.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s190, c_busy)) | (~always3(s190)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s190)) | (~m_main_v_state(s190, c_busy)))),
% 9.24/6.75 inference(transitivity,[status(thm)],[30114, 30112])).
% 9.24/6.75 tff(30116,plain,
% 9.24/6.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s190, c_busy)) | (~always3(s190)))),
% 9.24/6.75 inference(quant_inst,[status(thm)],[])).
% 9.24/6.75 tff(30117,plain,
% 9.24/6.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s190)) | (~m_main_v_state(s190, c_busy))),
% 9.24/6.75 inference(modus_ponens,[status(thm)],[30116, 30115])).
% 9.24/6.75 tff(30118,plain,
% 9.24/6.75 (~m_main_v_state(s190, c_busy)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30117, 170, 30111])).
% 9.24/6.75 tff(30119,plain,
% 9.24/6.75 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s190, c_busy) | m_main_v_state(s190, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s190, c_busy) | m_main_v_state(s190, c_ready))),
% 9.24/6.75 inference(rewrite,[status(thm)],[])).
% 9.24/6.75 tff(30120,plain,
% 9.24/6.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s190, c_busy) | m_main_v_state(s190, c_ready))),
% 9.24/6.75 inference(quant_inst,[status(thm)],[])).
% 9.24/6.75 tff(30121,plain,
% 9.24/6.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s190, c_busy) | m_main_v_state(s190, c_ready)),
% 9.24/6.75 inference(modus_ponens,[status(thm)],[30120, 30119])).
% 9.24/6.75 tff(30122,plain,
% 9.24/6.75 ($false),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30121, 213, 30118, 30110])).
% 9.24/6.75 tff(30123,plain,((~node4(s190)) | m_main_v_state(s191, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.24/6.75 tff(30124,plain,
% 9.24/6.75 (~node4(s190)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30123, 30095])).
% 9.24/6.75 tff(30125,assumption,(~m_main_v_state(s192, c_busy)), introduced(assumption)).
% 9.24/6.75 tff(30126,plain,
% 9.24/6.75 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s191, c_busy) | m_main_v_state(s191, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s191, c_busy) | m_main_v_state(s191, c_ready))),
% 9.24/6.75 inference(rewrite,[status(thm)],[])).
% 9.24/6.75 tff(30127,plain,
% 9.24/6.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s191, c_busy) | m_main_v_state(s191, c_ready))),
% 9.24/6.75 inference(quant_inst,[status(thm)],[])).
% 9.24/6.75 tff(30128,plain,
% 9.24/6.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s191, c_busy) | m_main_v_state(s191, c_ready)),
% 9.24/6.75 inference(modus_ponens,[status(thm)],[30127, 30126])).
% 9.24/6.75 tff(30129,plain,
% 9.24/6.75 (m_main_v_state(s191, c_ready)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30128, 213, 30095])).
% 9.24/6.75 tff(30130,plain,
% 9.24/6.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s191, s192)) | node2(s191, s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s191, s192)) | node2(s191, s192))),
% 9.24/6.75 inference(rewrite,[status(thm)],[])).
% 9.24/6.75 tff(30131,plain,
% 9.24/6.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s191, s192)) | node2(s191, s192))),
% 9.24/6.75 inference(quant_inst,[status(thm)],[])).
% 9.24/6.75 tff(30132,plain,
% 9.24/6.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s191, s192)) | node2(s191, s192)),
% 9.24/6.75 inference(modus_ponens,[status(thm)],[30131, 30130])).
% 9.24/6.75 tff(30133,plain,
% 9.24/6.75 (node2(s191, s192)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30132, 7, 7024])).
% 9.24/6.75 tff(30134,plain,
% 9.24/6.75 (((~![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(s191, c_ready)) | (~node2(s191, s192)) | m_main_v_state(s192, c_busy) | (~m_main_v_request(s191)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s191, c_ready)) | (~node2(s191, s192)) | m_main_v_state(s192, c_busy) | (~m_main_v_request(s191)))),
% 9.24/6.75 inference(rewrite,[status(thm)],[])).
% 9.24/6.75 tff(30135,plain,
% 9.24/6.75 ((~![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(s191, c_ready)) | (~node2(s191, s192)) | m_main_v_state(s192, c_busy) | (~m_main_v_request(s191)))),
% 9.24/6.75 inference(quant_inst,[status(thm)],[])).
% 9.24/6.75 tff(30136,plain,
% 9.24/6.75 ((~![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(s191, c_ready)) | (~node2(s191, s192)) | m_main_v_state(s192, c_busy) | (~m_main_v_request(s191))),
% 9.24/6.75 inference(modus_ponens,[status(thm)],[30135, 30134])).
% 9.24/6.75 tff(30137,plain,
% 9.24/6.75 ((~m_main_v_state(s191, c_ready)) | m_main_v_state(s192, c_busy) | (~m_main_v_request(s191))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30136, 191, 30133])).
% 9.24/6.75 tff(30138,plain,
% 9.24/6.75 (~m_main_v_request(s191)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30137, 30129, 30125])).
% 9.24/6.75 tff(30139,plain,
% 9.24/6.75 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s191) | (~node4(s191)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s191) | (~node4(s191)))),
% 9.24/6.75 inference(rewrite,[status(thm)],[])).
% 9.24/6.75 tff(30140,plain,
% 9.24/6.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s191) | (~node4(s191)))),
% 9.24/6.75 inference(quant_inst,[status(thm)],[])).
% 9.24/6.75 tff(30141,plain,
% 9.24/6.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s191) | (~node4(s191))),
% 9.24/6.75 inference(modus_ponens,[status(thm)],[30140, 30139])).
% 9.24/6.75 tff(30142,plain,
% 9.24/6.75 (~node4(s191)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30141, 154, 30138])).
% 9.24/6.75 tff(30143,plain,
% 9.24/6.75 (~until5(s191)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30084, 30142])).
% 9.24/6.75 tff(30144,plain,
% 9.24/6.75 (~xuntil6(s190)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7048, 30143])).
% 9.24/6.75 tff(30145,plain,
% 9.24/6.75 (node4(s190) | (~until5(s190))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7068, 36, 30144])).
% 9.24/6.75 tff(30146,plain,
% 9.24/6.75 (~until5(s190)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30145, 30124])).
% 9.24/6.75 tff(30147,plain,
% 9.24/6.75 (~xuntil6(s189)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7077, 30146])).
% 9.24/6.75 tff(30148,assumption,(~always3(s189)), introduced(assumption)).
% 9.24/6.75 tff(30149,plain,
% 9.24/6.75 (~always3(s188)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7115, 30148])).
% 9.24/6.75 tff(30150,plain,
% 9.24/6.75 (~node4(s188)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7119, 22, 30149])).
% 9.24/6.75 tff(30151,plain,
% 9.24/6.75 (~node4(s189)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7090, 22, 30148])).
% 9.24/6.75 tff(30152,assumption,(~xuntil6(s189)), introduced(assumption)).
% 9.24/6.75 tff(30153,plain,
% 9.24/6.75 (node4(s189) | (~until5(s189))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7097, 36, 30152])).
% 9.24/6.75 tff(30154,plain,
% 9.24/6.75 (~until5(s189)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30153, 30151])).
% 9.24/6.75 tff(30155,plain,
% 9.24/6.75 (~xuntil6(s188)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7106, 30154])).
% 9.24/6.75 tff(30156,plain,
% 9.24/6.75 (~until5(s188)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7126, 36, 30155, 30150])).
% 9.24/6.75 tff(30157,plain,
% 9.24/6.75 (~xuntil6(s187)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7135, 30156])).
% 9.24/6.75 tff(30158,plain,
% 9.24/6.75 (~always3(s187)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7144, 30149])).
% 9.24/6.75 tff(30159,plain,
% 9.24/6.75 (~node4(s187)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7148, 22, 30158])).
% 9.24/6.75 tff(30160,plain,
% 9.24/6.75 (xuntil6(s187) | (~until5(s187))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7155, 36, 30159])).
% 9.24/6.75 tff(30161,plain,
% 9.24/6.75 (~until5(s187)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30160, 30157])).
% 9.24/6.75 tff(30162,plain,
% 9.24/6.75 (~xuntil6(s186)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7164, 30161])).
% 9.24/6.75 tff(30163,plain,
% 9.24/6.75 (~always3(s186)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7173, 30158])).
% 9.24/6.75 tff(30164,plain,
% 9.24/6.75 (~node4(s186)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7177, 22, 30163])).
% 9.24/6.75 tff(30165,plain,
% 9.24/6.75 (xuntil6(s186) | (~until5(s186))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7184, 36, 30164])).
% 9.24/6.75 tff(30166,plain,
% 9.24/6.75 (~until5(s186)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30165, 30162])).
% 9.24/6.75 tff(30167,plain,
% 9.24/6.75 (~always3(s185)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7202, 30163])).
% 9.24/6.75 tff(30168,plain,
% 9.24/6.75 (~always3(s184)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7231, 30167])).
% 9.24/6.75 tff(30169,plain,
% 9.24/6.75 (~always3(s183)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7260, 30168])).
% 9.24/6.75 tff(30170,plain,
% 9.24/6.75 (~node4(s183)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7264, 22, 30169])).
% 9.24/6.75 tff(30171,plain,
% 9.24/6.75 (~always3(s182)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7289, 30169])).
% 9.24/6.75 tff(30172,plain,
% 9.24/6.75 (~node4(s182)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7293, 22, 30171])).
% 9.24/6.75 tff(30173,plain,
% 9.24/6.75 (xuntil6(s182)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30051, 30172])).
% 9.24/6.75 tff(30174,plain,
% 9.24/6.75 (until5(s183)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7280, 30173])).
% 9.24/6.75 tff(30175,plain,
% 9.24/6.75 (xuntil6(s183)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7271, 36, 30174, 30170])).
% 9.24/6.75 tff(30176,plain,
% 9.24/6.75 (until5(s184)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7251, 30175])).
% 9.24/6.75 tff(30177,plain,
% 9.24/6.75 (~node4(s184)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7235, 22, 30168])).
% 9.24/6.75 tff(30178,plain,
% 9.24/6.75 (xuntil6(s184) | (~until5(s184))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7242, 36, 30177])).
% 9.24/6.75 tff(30179,plain,
% 9.24/6.75 (xuntil6(s184)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30178, 30176])).
% 9.24/6.75 tff(30180,plain,
% 9.24/6.75 (until5(s185)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7222, 30179])).
% 9.24/6.75 tff(30181,plain,
% 9.24/6.75 (~node4(s185)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7206, 22, 30167])).
% 9.24/6.75 tff(30182,plain,
% 9.24/6.75 (xuntil6(s185) | (~until5(s185))),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[7213, 36, 30181])).
% 9.24/6.75 tff(30183,plain,
% 9.24/6.75 (xuntil6(s185)),
% 9.24/6.75 inference(unit_resolution,[status(thm)],[30182, 30180])).
% 9.24/6.75 tff(30184,plain,
% 9.24/6.75 ($false),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7193, 30183, 30166])).
% 9.24/6.76 tff(30185,plain,(always3(s189) | (~until5(s182)) | xuntil6(s189)), inference(lemma,lemma(discharge,[]))).
% 9.24/6.76 tff(30186,plain,
% 9.24/6.76 (always3(s189)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30185, 30037, 30147])).
% 9.24/6.76 tff(30187,plain,
% 9.24/6.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s189)) | (~m_main_v_state(s189, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s189)) | (~m_main_v_state(s189, c_busy)))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30188,plain,
% 9.24/6.76 (((~m_main_v_state(s189, c_busy)) | (~always3(s189))) <=> ((~always3(s189)) | (~m_main_v_state(s189, c_busy)))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30189,plain,
% 9.24/6.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s189, c_busy)) | (~always3(s189)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s189)) | (~m_main_v_state(s189, c_busy))))),
% 9.24/6.76 inference(monotonicity,[status(thm)],[30188])).
% 9.24/6.76 tff(30190,plain,
% 9.24/6.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s189, c_busy)) | (~always3(s189)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s189)) | (~m_main_v_state(s189, c_busy)))),
% 9.24/6.76 inference(transitivity,[status(thm)],[30189, 30187])).
% 9.24/6.76 tff(30191,plain,
% 9.24/6.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s189, c_busy)) | (~always3(s189)))),
% 9.24/6.76 inference(quant_inst,[status(thm)],[])).
% 9.24/6.76 tff(30192,plain,
% 9.24/6.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s189)) | (~m_main_v_state(s189, c_busy))),
% 9.24/6.76 inference(modus_ponens,[status(thm)],[30191, 30190])).
% 9.24/6.76 tff(30193,plain,
% 9.24/6.76 (~m_main_v_state(s189, c_busy)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30192, 170, 30186])).
% 9.24/6.76 tff(30194,assumption,(~m_main_v_state(s189, c_busy)), introduced(assumption)).
% 9.24/6.76 tff(30195,assumption,(node4(s188)), introduced(assumption)).
% 9.24/6.76 tff(30196,plain,
% 9.24/6.76 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s188) | (~node4(s188)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s188) | (~node4(s188)))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30197,plain,
% 9.24/6.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s188) | (~node4(s188)))),
% 9.24/6.76 inference(quant_inst,[status(thm)],[])).
% 9.24/6.76 tff(30198,plain,
% 9.24/6.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s188) | (~node4(s188))),
% 9.24/6.76 inference(modus_ponens,[status(thm)],[30197, 30196])).
% 9.24/6.76 tff(30199,plain,
% 9.24/6.76 (m_main_v_request(s188)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30198, 154, 30195])).
% 9.24/6.76 tff(30200,plain,
% 9.24/6.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s188, s189)) | node2(s188, s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s188, s189)) | node2(s188, s189))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30201,plain,
% 9.24/6.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s188, s189)) | node2(s188, s189))),
% 9.24/6.76 inference(quant_inst,[status(thm)],[])).
% 9.24/6.76 tff(30202,plain,
% 9.24/6.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s188, s189)) | node2(s188, s189)),
% 9.24/6.76 inference(modus_ponens,[status(thm)],[30201, 30200])).
% 9.24/6.76 tff(30203,plain,
% 9.24/6.76 (node2(s188, s189)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30202, 7, 7111])).
% 9.24/6.76 tff(30204,plain,
% 9.24/6.76 (((~![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(s188, c_ready)) | (~node2(s188, s189)) | m_main_v_state(s189, c_busy) | (~m_main_v_request(s188)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s188, c_ready)) | (~node2(s188, s189)) | m_main_v_state(s189, c_busy) | (~m_main_v_request(s188)))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30205,plain,
% 9.24/6.76 ((~![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(s188, c_ready)) | (~node2(s188, s189)) | m_main_v_state(s189, c_busy) | (~m_main_v_request(s188)))),
% 9.24/6.76 inference(quant_inst,[status(thm)],[])).
% 9.24/6.76 tff(30206,plain,
% 9.24/6.76 ((~![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(s188, c_ready)) | (~node2(s188, s189)) | m_main_v_state(s189, c_busy) | (~m_main_v_request(s188))),
% 9.24/6.76 inference(modus_ponens,[status(thm)],[30205, 30204])).
% 9.24/6.76 tff(30207,plain,
% 9.24/6.76 ((~m_main_v_state(s188, c_ready)) | m_main_v_state(s189, c_busy) | (~m_main_v_request(s188))),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30206, 191, 30203])).
% 9.24/6.76 tff(30208,plain,
% 9.24/6.76 (~m_main_v_state(s188, c_ready)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30207, 30199, 30194])).
% 9.24/6.76 tff(30209,plain,
% 9.24/6.76 (always3(s188)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7119, 22, 30195])).
% 9.24/6.76 tff(30210,plain,
% 9.24/6.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s188)) | (~m_main_v_state(s188, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s188)) | (~m_main_v_state(s188, c_busy)))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30211,plain,
% 9.24/6.76 (((~m_main_v_state(s188, c_busy)) | (~always3(s188))) <=> ((~always3(s188)) | (~m_main_v_state(s188, c_busy)))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30212,plain,
% 9.24/6.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s188, c_busy)) | (~always3(s188)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s188)) | (~m_main_v_state(s188, c_busy))))),
% 9.24/6.76 inference(monotonicity,[status(thm)],[30211])).
% 9.24/6.76 tff(30213,plain,
% 9.24/6.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s188, c_busy)) | (~always3(s188)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s188)) | (~m_main_v_state(s188, c_busy)))),
% 9.24/6.76 inference(transitivity,[status(thm)],[30212, 30210])).
% 9.24/6.76 tff(30214,plain,
% 9.24/6.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s188, c_busy)) | (~always3(s188)))),
% 9.24/6.76 inference(quant_inst,[status(thm)],[])).
% 9.24/6.76 tff(30215,plain,
% 9.24/6.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s188)) | (~m_main_v_state(s188, c_busy))),
% 9.24/6.76 inference(modus_ponens,[status(thm)],[30214, 30213])).
% 9.24/6.76 tff(30216,plain,
% 9.24/6.76 (~m_main_v_state(s188, c_busy)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30215, 170, 30209])).
% 9.24/6.76 tff(30217,plain,
% 9.24/6.76 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s188, c_busy) | m_main_v_state(s188, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s188, c_busy) | m_main_v_state(s188, c_ready))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30218,plain,
% 9.24/6.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s188, c_busy) | m_main_v_state(s188, c_ready))),
% 9.24/6.76 inference(quant_inst,[status(thm)],[])).
% 9.24/6.76 tff(30219,plain,
% 9.24/6.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s188, c_busy) | m_main_v_state(s188, c_ready)),
% 9.24/6.76 inference(modus_ponens,[status(thm)],[30218, 30217])).
% 9.24/6.76 tff(30220,plain,
% 9.24/6.76 ($false),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30219, 213, 30216, 30208])).
% 9.24/6.76 tff(30221,plain,((~node4(s188)) | m_main_v_state(s189, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.24/6.76 tff(30222,plain,
% 9.24/6.76 (~node4(s188)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30221, 30193])).
% 9.24/6.76 tff(30223,plain,
% 9.24/6.76 (always3(s190)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7086, 30186])).
% 9.24/6.76 tff(30224,plain,
% 9.24/6.76 (~m_main_v_state(s190, c_busy)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30117, 170, 30223])).
% 9.24/6.76 tff(30225,plain,
% 9.24/6.76 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s189, c_busy) | m_main_v_state(s189, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s189, c_busy) | m_main_v_state(s189, c_ready))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30226,plain,
% 9.24/6.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s189, c_busy) | m_main_v_state(s189, c_ready))),
% 9.24/6.76 inference(quant_inst,[status(thm)],[])).
% 9.24/6.76 tff(30227,plain,
% 9.24/6.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s189, c_busy) | m_main_v_state(s189, c_ready)),
% 9.24/6.76 inference(modus_ponens,[status(thm)],[30226, 30225])).
% 9.24/6.76 tff(30228,plain,
% 9.24/6.76 (m_main_v_state(s189, c_ready)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30227, 213, 30193])).
% 9.24/6.76 tff(30229,plain,
% 9.24/6.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s189, s190)) | node2(s189, s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s189, s190)) | node2(s189, s190))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30230,plain,
% 9.24/6.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s189, s190)) | node2(s189, s190))),
% 9.24/6.76 inference(quant_inst,[status(thm)],[])).
% 9.24/6.76 tff(30231,plain,
% 9.24/6.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s189, s190)) | node2(s189, s190)),
% 9.24/6.76 inference(modus_ponens,[status(thm)],[30230, 30229])).
% 9.24/6.76 tff(30232,plain,
% 9.24/6.76 (node2(s189, s190)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30231, 7, 7082])).
% 9.24/6.76 tff(30233,plain,
% 9.24/6.76 (((~![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(s189, c_ready)) | (~node2(s189, s190)) | m_main_v_state(s190, c_busy) | (~m_main_v_request(s189)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s189, c_ready)) | (~node2(s189, s190)) | m_main_v_state(s190, c_busy) | (~m_main_v_request(s189)))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30234,plain,
% 9.24/6.76 ((~![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(s189, c_ready)) | (~node2(s189, s190)) | m_main_v_state(s190, c_busy) | (~m_main_v_request(s189)))),
% 9.24/6.76 inference(quant_inst,[status(thm)],[])).
% 9.24/6.76 tff(30235,plain,
% 9.24/6.76 ((~![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(s189, c_ready)) | (~node2(s189, s190)) | m_main_v_state(s190, c_busy) | (~m_main_v_request(s189))),
% 9.24/6.76 inference(modus_ponens,[status(thm)],[30234, 30233])).
% 9.24/6.76 tff(30236,plain,
% 9.24/6.76 ((~m_main_v_state(s189, c_ready)) | m_main_v_state(s190, c_busy) | (~m_main_v_request(s189))),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30235, 191, 30232])).
% 9.24/6.76 tff(30237,plain,
% 9.24/6.76 (~m_main_v_request(s189)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30236, 30228, 30224])).
% 9.24/6.76 tff(30238,plain,
% 9.24/6.76 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s189) | (~node4(s189)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s189) | (~node4(s189)))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30239,plain,
% 9.24/6.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s189) | (~node4(s189)))),
% 9.24/6.76 inference(quant_inst,[status(thm)],[])).
% 9.24/6.76 tff(30240,plain,
% 9.24/6.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s189) | (~node4(s189))),
% 9.24/6.76 inference(modus_ponens,[status(thm)],[30239, 30238])).
% 9.24/6.76 tff(30241,plain,
% 9.24/6.76 (~node4(s189)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30240, 154, 30237])).
% 9.24/6.76 tff(30242,plain,
% 9.24/6.76 (node4(s189) | (~until5(s189))),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7097, 36, 30147])).
% 9.24/6.76 tff(30243,plain,
% 9.24/6.76 (~until5(s189)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30242, 30241])).
% 9.24/6.76 tff(30244,plain,
% 9.24/6.76 (~xuntil6(s188)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7106, 30243])).
% 9.24/6.76 tff(30245,plain,
% 9.24/6.76 (node4(s188) | (~until5(s188))),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7126, 36, 30244])).
% 9.24/6.76 tff(30246,plain,
% 9.24/6.76 (~until5(s188)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30245, 30222])).
% 9.24/6.76 tff(30247,plain,
% 9.24/6.76 (~xuntil6(s187)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7135, 30246])).
% 9.24/6.76 tff(30248,assumption,(~always3(s187)), introduced(assumption)).
% 9.24/6.76 tff(30249,plain,
% 9.24/6.76 (~always3(s186)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7173, 30248])).
% 9.24/6.76 tff(30250,plain,
% 9.24/6.76 (~node4(s186)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7177, 22, 30249])).
% 9.24/6.76 tff(30251,plain,
% 9.24/6.76 (~node4(s187)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7148, 22, 30248])).
% 9.24/6.76 tff(30252,assumption,(~xuntil6(s187)), introduced(assumption)).
% 9.24/6.76 tff(30253,plain,
% 9.24/6.76 (node4(s187) | (~until5(s187))),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7155, 36, 30252])).
% 9.24/6.76 tff(30254,plain,
% 9.24/6.76 (~until5(s187)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30253, 30251])).
% 9.24/6.76 tff(30255,plain,
% 9.24/6.76 (~xuntil6(s186)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7164, 30254])).
% 9.24/6.76 tff(30256,plain,
% 9.24/6.76 (~until5(s186)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7184, 36, 30255, 30250])).
% 9.24/6.76 tff(30257,plain,
% 9.24/6.76 (~xuntil6(s185)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7193, 30256])).
% 9.24/6.76 tff(30258,plain,
% 9.24/6.76 (~always3(s185)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7202, 30249])).
% 9.24/6.76 tff(30259,plain,
% 9.24/6.76 (~node4(s185)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7206, 22, 30258])).
% 9.24/6.76 tff(30260,plain,
% 9.24/6.76 (xuntil6(s185) | (~until5(s185))),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7213, 36, 30259])).
% 9.24/6.76 tff(30261,plain,
% 9.24/6.76 (~until5(s185)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30260, 30257])).
% 9.24/6.76 tff(30262,plain,
% 9.24/6.76 (~always3(s184)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7231, 30258])).
% 9.24/6.76 tff(30263,plain,
% 9.24/6.76 (~always3(s183)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7260, 30262])).
% 9.24/6.76 tff(30264,plain,
% 9.24/6.76 (~node4(s183)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7264, 22, 30263])).
% 9.24/6.76 tff(30265,plain,
% 9.24/6.76 (~always3(s182)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7289, 30263])).
% 9.24/6.76 tff(30266,plain,
% 9.24/6.76 (~node4(s182)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7293, 22, 30265])).
% 9.24/6.76 tff(30267,plain,
% 9.24/6.76 (xuntil6(s182)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30051, 30266])).
% 9.24/6.76 tff(30268,plain,
% 9.24/6.76 (until5(s183)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7280, 30267])).
% 9.24/6.76 tff(30269,plain,
% 9.24/6.76 (xuntil6(s183)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7271, 36, 30268, 30264])).
% 9.24/6.76 tff(30270,plain,
% 9.24/6.76 (until5(s184)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7251, 30269])).
% 9.24/6.76 tff(30271,plain,
% 9.24/6.76 (~node4(s184)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7235, 22, 30262])).
% 9.24/6.76 tff(30272,plain,
% 9.24/6.76 (xuntil6(s184) | (~until5(s184))),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7242, 36, 30271])).
% 9.24/6.76 tff(30273,plain,
% 9.24/6.76 (xuntil6(s184)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30272, 30270])).
% 9.24/6.76 tff(30274,plain,
% 9.24/6.76 ($false),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7222, 30273, 30261])).
% 9.24/6.76 tff(30275,plain,(always3(s187) | (~until5(s182)) | xuntil6(s187)), inference(lemma,lemma(discharge,[]))).
% 9.24/6.76 tff(30276,plain,
% 9.24/6.76 (always3(s187)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30275, 30037, 30247])).
% 9.24/6.76 tff(30277,plain,
% 9.24/6.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s187)) | (~m_main_v_state(s187, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s187)) | (~m_main_v_state(s187, c_busy)))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30278,plain,
% 9.24/6.76 (((~m_main_v_state(s187, c_busy)) | (~always3(s187))) <=> ((~always3(s187)) | (~m_main_v_state(s187, c_busy)))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30279,plain,
% 9.24/6.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s187, c_busy)) | (~always3(s187)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s187)) | (~m_main_v_state(s187, c_busy))))),
% 9.24/6.76 inference(monotonicity,[status(thm)],[30278])).
% 9.24/6.76 tff(30280,plain,
% 9.24/6.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s187, c_busy)) | (~always3(s187)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s187)) | (~m_main_v_state(s187, c_busy)))),
% 9.24/6.76 inference(transitivity,[status(thm)],[30279, 30277])).
% 9.24/6.76 tff(30281,plain,
% 9.24/6.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s187, c_busy)) | (~always3(s187)))),
% 9.24/6.76 inference(quant_inst,[status(thm)],[])).
% 9.24/6.76 tff(30282,plain,
% 9.24/6.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s187)) | (~m_main_v_state(s187, c_busy))),
% 9.24/6.76 inference(modus_ponens,[status(thm)],[30281, 30280])).
% 9.24/6.76 tff(30283,plain,
% 9.24/6.76 (~m_main_v_state(s187, c_busy)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30282, 170, 30276])).
% 9.24/6.76 tff(30284,assumption,(~m_main_v_state(s187, c_busy)), introduced(assumption)).
% 9.24/6.76 tff(30285,assumption,(node4(s186)), introduced(assumption)).
% 9.24/6.76 tff(30286,plain,
% 9.24/6.76 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s186) | (~node4(s186)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s186) | (~node4(s186)))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30287,plain,
% 9.24/6.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s186) | (~node4(s186)))),
% 9.24/6.76 inference(quant_inst,[status(thm)],[])).
% 9.24/6.76 tff(30288,plain,
% 9.24/6.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s186) | (~node4(s186))),
% 9.24/6.76 inference(modus_ponens,[status(thm)],[30287, 30286])).
% 9.24/6.76 tff(30289,plain,
% 9.24/6.76 (m_main_v_request(s186)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30288, 154, 30285])).
% 9.24/6.76 tff(30290,plain,
% 9.24/6.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s186, s187)) | node2(s186, s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s186, s187)) | node2(s186, s187))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30291,plain,
% 9.24/6.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s186, s187)) | node2(s186, s187))),
% 9.24/6.76 inference(quant_inst,[status(thm)],[])).
% 9.24/6.76 tff(30292,plain,
% 9.24/6.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s186, s187)) | node2(s186, s187)),
% 9.24/6.76 inference(modus_ponens,[status(thm)],[30291, 30290])).
% 9.24/6.76 tff(30293,plain,
% 9.24/6.76 (node2(s186, s187)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30292, 7, 7169])).
% 9.24/6.76 tff(30294,plain,
% 9.24/6.76 (((~![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(s186, c_ready)) | (~node2(s186, s187)) | m_main_v_state(s187, c_busy) | (~m_main_v_request(s186)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s186, c_ready)) | (~node2(s186, s187)) | m_main_v_state(s187, c_busy) | (~m_main_v_request(s186)))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30295,plain,
% 9.24/6.76 ((~![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(s186, c_ready)) | (~node2(s186, s187)) | m_main_v_state(s187, c_busy) | (~m_main_v_request(s186)))),
% 9.24/6.76 inference(quant_inst,[status(thm)],[])).
% 9.24/6.76 tff(30296,plain,
% 9.24/6.76 ((~![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(s186, c_ready)) | (~node2(s186, s187)) | m_main_v_state(s187, c_busy) | (~m_main_v_request(s186))),
% 9.24/6.76 inference(modus_ponens,[status(thm)],[30295, 30294])).
% 9.24/6.76 tff(30297,plain,
% 9.24/6.76 ((~m_main_v_state(s186, c_ready)) | m_main_v_state(s187, c_busy) | (~m_main_v_request(s186))),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30296, 191, 30293])).
% 9.24/6.76 tff(30298,plain,
% 9.24/6.76 (~m_main_v_state(s186, c_ready)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30297, 30289, 30284])).
% 9.24/6.76 tff(30299,plain,
% 9.24/6.76 (always3(s186)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7177, 22, 30285])).
% 9.24/6.76 tff(30300,plain,
% 9.24/6.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s186)) | (~m_main_v_state(s186, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s186)) | (~m_main_v_state(s186, c_busy)))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30301,plain,
% 9.24/6.76 (((~m_main_v_state(s186, c_busy)) | (~always3(s186))) <=> ((~always3(s186)) | (~m_main_v_state(s186, c_busy)))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30302,plain,
% 9.24/6.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s186, c_busy)) | (~always3(s186)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s186)) | (~m_main_v_state(s186, c_busy))))),
% 9.24/6.76 inference(monotonicity,[status(thm)],[30301])).
% 9.24/6.76 tff(30303,plain,
% 9.24/6.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s186, c_busy)) | (~always3(s186)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s186)) | (~m_main_v_state(s186, c_busy)))),
% 9.24/6.76 inference(transitivity,[status(thm)],[30302, 30300])).
% 9.24/6.76 tff(30304,plain,
% 9.24/6.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s186, c_busy)) | (~always3(s186)))),
% 9.24/6.76 inference(quant_inst,[status(thm)],[])).
% 9.24/6.76 tff(30305,plain,
% 9.24/6.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s186)) | (~m_main_v_state(s186, c_busy))),
% 9.24/6.76 inference(modus_ponens,[status(thm)],[30304, 30303])).
% 9.24/6.76 tff(30306,plain,
% 9.24/6.76 (~m_main_v_state(s186, c_busy)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30305, 170, 30299])).
% 9.24/6.76 tff(30307,plain,
% 9.24/6.76 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s186, c_busy) | m_main_v_state(s186, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s186, c_busy) | m_main_v_state(s186, c_ready))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30308,plain,
% 9.24/6.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s186, c_busy) | m_main_v_state(s186, c_ready))),
% 9.24/6.76 inference(quant_inst,[status(thm)],[])).
% 9.24/6.76 tff(30309,plain,
% 9.24/6.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s186, c_busy) | m_main_v_state(s186, c_ready)),
% 9.24/6.76 inference(modus_ponens,[status(thm)],[30308, 30307])).
% 9.24/6.76 tff(30310,plain,
% 9.24/6.76 ($false),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30309, 213, 30306, 30298])).
% 9.24/6.76 tff(30311,plain,((~node4(s186)) | m_main_v_state(s187, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.24/6.76 tff(30312,plain,
% 9.24/6.76 (~node4(s186)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30311, 30283])).
% 9.24/6.76 tff(30313,plain,
% 9.24/6.76 (always3(s188)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7144, 30276])).
% 9.24/6.76 tff(30314,plain,
% 9.24/6.76 (~m_main_v_state(s188, c_busy)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30215, 170, 30313])).
% 9.24/6.76 tff(30315,plain,
% 9.24/6.76 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s187, c_busy) | m_main_v_state(s187, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s187, c_busy) | m_main_v_state(s187, c_ready))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30316,plain,
% 9.24/6.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s187, c_busy) | m_main_v_state(s187, c_ready))),
% 9.24/6.76 inference(quant_inst,[status(thm)],[])).
% 9.24/6.76 tff(30317,plain,
% 9.24/6.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s187, c_busy) | m_main_v_state(s187, c_ready)),
% 9.24/6.76 inference(modus_ponens,[status(thm)],[30316, 30315])).
% 9.24/6.76 tff(30318,plain,
% 9.24/6.76 (m_main_v_state(s187, c_ready)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30317, 213, 30283])).
% 9.24/6.76 tff(30319,plain,
% 9.24/6.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s187, s188)) | node2(s187, s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s187, s188)) | node2(s187, s188))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30320,plain,
% 9.24/6.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s187, s188)) | node2(s187, s188))),
% 9.24/6.76 inference(quant_inst,[status(thm)],[])).
% 9.24/6.76 tff(30321,plain,
% 9.24/6.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s187, s188)) | node2(s187, s188)),
% 9.24/6.76 inference(modus_ponens,[status(thm)],[30320, 30319])).
% 9.24/6.76 tff(30322,plain,
% 9.24/6.76 (node2(s187, s188)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30321, 7, 7140])).
% 9.24/6.76 tff(30323,plain,
% 9.24/6.76 (((~![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(s187, c_ready)) | (~node2(s187, s188)) | m_main_v_state(s188, c_busy) | (~m_main_v_request(s187)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s187, c_ready)) | (~node2(s187, s188)) | m_main_v_state(s188, c_busy) | (~m_main_v_request(s187)))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30324,plain,
% 9.24/6.76 ((~![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(s187, c_ready)) | (~node2(s187, s188)) | m_main_v_state(s188, c_busy) | (~m_main_v_request(s187)))),
% 9.24/6.76 inference(quant_inst,[status(thm)],[])).
% 9.24/6.76 tff(30325,plain,
% 9.24/6.76 ((~![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(s187, c_ready)) | (~node2(s187, s188)) | m_main_v_state(s188, c_busy) | (~m_main_v_request(s187))),
% 9.24/6.76 inference(modus_ponens,[status(thm)],[30324, 30323])).
% 9.24/6.76 tff(30326,plain,
% 9.24/6.76 ((~m_main_v_state(s187, c_ready)) | m_main_v_state(s188, c_busy) | (~m_main_v_request(s187))),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30325, 191, 30322])).
% 9.24/6.76 tff(30327,plain,
% 9.24/6.76 (~m_main_v_request(s187)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30326, 30318, 30314])).
% 9.24/6.76 tff(30328,plain,
% 9.24/6.76 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s187) | (~node4(s187)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s187) | (~node4(s187)))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30329,plain,
% 9.24/6.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s187) | (~node4(s187)))),
% 9.24/6.76 inference(quant_inst,[status(thm)],[])).
% 9.24/6.76 tff(30330,plain,
% 9.24/6.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s187) | (~node4(s187))),
% 9.24/6.76 inference(modus_ponens,[status(thm)],[30329, 30328])).
% 9.24/6.76 tff(30331,plain,
% 9.24/6.76 (~node4(s187)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30330, 154, 30327])).
% 9.24/6.76 tff(30332,plain,
% 9.24/6.76 (node4(s187) | (~until5(s187))),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7155, 36, 30247])).
% 9.24/6.76 tff(30333,plain,
% 9.24/6.76 (~until5(s187)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30332, 30331])).
% 9.24/6.76 tff(30334,plain,
% 9.24/6.76 (~xuntil6(s186)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7164, 30333])).
% 9.24/6.76 tff(30335,plain,
% 9.24/6.76 (node4(s186) | (~until5(s186))),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7184, 36, 30334])).
% 9.24/6.76 tff(30336,plain,
% 9.24/6.76 (~until5(s186)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30335, 30312])).
% 9.24/6.76 tff(30337,plain,
% 9.24/6.76 (~xuntil6(s185)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7193, 30336])).
% 9.24/6.76 tff(30338,assumption,(~always3(s185)), introduced(assumption)).
% 9.24/6.76 tff(30339,plain,
% 9.24/6.76 (~always3(s184)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7231, 30338])).
% 9.24/6.76 tff(30340,plain,
% 9.24/6.76 (~node4(s184)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7235, 22, 30339])).
% 9.24/6.76 tff(30341,plain,
% 9.24/6.76 (~node4(s185)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7206, 22, 30338])).
% 9.24/6.76 tff(30342,assumption,(~xuntil6(s185)), introduced(assumption)).
% 9.24/6.76 tff(30343,plain,
% 9.24/6.76 (node4(s185) | (~until5(s185))),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7213, 36, 30342])).
% 9.24/6.76 tff(30344,plain,
% 9.24/6.76 (~until5(s185)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30343, 30341])).
% 9.24/6.76 tff(30345,plain,
% 9.24/6.76 (~xuntil6(s184)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7222, 30344])).
% 9.24/6.76 tff(30346,plain,
% 9.24/6.76 (~until5(s184)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7242, 36, 30345, 30340])).
% 9.24/6.76 tff(30347,plain,
% 9.24/6.76 (~always3(s183)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7260, 30339])).
% 9.24/6.76 tff(30348,plain,
% 9.24/6.76 (~node4(s183)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7264, 22, 30347])).
% 9.24/6.76 tff(30349,plain,
% 9.24/6.76 (~always3(s182)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7289, 30347])).
% 9.24/6.76 tff(30350,plain,
% 9.24/6.76 (~node4(s182)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7293, 22, 30349])).
% 9.24/6.76 tff(30351,plain,
% 9.24/6.76 (xuntil6(s182)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30051, 30350])).
% 9.24/6.76 tff(30352,plain,
% 9.24/6.76 (until5(s183)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7280, 30351])).
% 9.24/6.76 tff(30353,plain,
% 9.24/6.76 (xuntil6(s183)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7271, 36, 30352, 30348])).
% 9.24/6.76 tff(30354,plain,
% 9.24/6.76 ($false),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7251, 30353, 30346])).
% 9.24/6.76 tff(30355,plain,(always3(s185) | (~until5(s182)) | xuntil6(s185)), inference(lemma,lemma(discharge,[]))).
% 9.24/6.76 tff(30356,plain,
% 9.24/6.76 (always3(s185)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30355, 30037, 30337])).
% 9.24/6.76 tff(30357,plain,
% 9.24/6.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s185)) | (~m_main_v_state(s185, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s185)) | (~m_main_v_state(s185, c_busy)))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30358,plain,
% 9.24/6.76 (((~m_main_v_state(s185, c_busy)) | (~always3(s185))) <=> ((~always3(s185)) | (~m_main_v_state(s185, c_busy)))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30359,plain,
% 9.24/6.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s185, c_busy)) | (~always3(s185)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s185)) | (~m_main_v_state(s185, c_busy))))),
% 9.24/6.76 inference(monotonicity,[status(thm)],[30358])).
% 9.24/6.76 tff(30360,plain,
% 9.24/6.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s185, c_busy)) | (~always3(s185)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s185)) | (~m_main_v_state(s185, c_busy)))),
% 9.24/6.76 inference(transitivity,[status(thm)],[30359, 30357])).
% 9.24/6.76 tff(30361,plain,
% 9.24/6.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s185, c_busy)) | (~always3(s185)))),
% 9.24/6.76 inference(quant_inst,[status(thm)],[])).
% 9.24/6.76 tff(30362,plain,
% 9.24/6.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s185)) | (~m_main_v_state(s185, c_busy))),
% 9.24/6.76 inference(modus_ponens,[status(thm)],[30361, 30360])).
% 9.24/6.76 tff(30363,plain,
% 9.24/6.76 (~m_main_v_state(s185, c_busy)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30362, 170, 30356])).
% 9.24/6.76 tff(30364,plain,
% 9.24/6.76 (always3(s186)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7202, 30356])).
% 9.24/6.76 tff(30365,plain,
% 9.24/6.76 (~m_main_v_state(s186, c_busy)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30305, 170, 30364])).
% 9.24/6.76 tff(30366,plain,
% 9.24/6.76 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s185, c_busy) | m_main_v_state(s185, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s185, c_busy) | m_main_v_state(s185, c_ready))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30367,plain,
% 9.24/6.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s185, c_busy) | m_main_v_state(s185, c_ready))),
% 9.24/6.76 inference(quant_inst,[status(thm)],[])).
% 9.24/6.76 tff(30368,plain,
% 9.24/6.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s185, c_busy) | m_main_v_state(s185, c_ready)),
% 9.24/6.76 inference(modus_ponens,[status(thm)],[30367, 30366])).
% 9.24/6.76 tff(30369,plain,
% 9.24/6.76 (m_main_v_state(s185, c_ready)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30368, 213, 30363])).
% 9.24/6.76 tff(30370,plain,
% 9.24/6.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s185, s186)) | node2(s185, s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s185, s186)) | node2(s185, s186))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30371,plain,
% 9.24/6.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s185, s186)) | node2(s185, s186))),
% 9.24/6.76 inference(quant_inst,[status(thm)],[])).
% 9.24/6.76 tff(30372,plain,
% 9.24/6.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s185, s186)) | node2(s185, s186)),
% 9.24/6.76 inference(modus_ponens,[status(thm)],[30371, 30370])).
% 9.24/6.76 tff(30373,plain,
% 9.24/6.76 (node2(s185, s186)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30372, 7, 7198])).
% 9.24/6.76 tff(30374,plain,
% 9.24/6.76 (((~![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(s185, c_ready)) | (~node2(s185, s186)) | m_main_v_state(s186, c_busy) | (~m_main_v_request(s185)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s185, c_ready)) | (~node2(s185, s186)) | m_main_v_state(s186, c_busy) | (~m_main_v_request(s185)))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30375,plain,
% 9.24/6.76 ((~![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(s185, c_ready)) | (~node2(s185, s186)) | m_main_v_state(s186, c_busy) | (~m_main_v_request(s185)))),
% 9.24/6.76 inference(quant_inst,[status(thm)],[])).
% 9.24/6.76 tff(30376,plain,
% 9.24/6.76 ((~![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(s185, c_ready)) | (~node2(s185, s186)) | m_main_v_state(s186, c_busy) | (~m_main_v_request(s185))),
% 9.24/6.76 inference(modus_ponens,[status(thm)],[30375, 30374])).
% 9.24/6.76 tff(30377,plain,
% 9.24/6.76 ((~m_main_v_state(s185, c_ready)) | m_main_v_state(s186, c_busy) | (~m_main_v_request(s185))),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30376, 191, 30373])).
% 9.24/6.76 tff(30378,plain,
% 9.24/6.76 (~m_main_v_request(s185)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30377, 30369, 30365])).
% 9.24/6.76 tff(30379,plain,
% 9.24/6.76 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s185) | (~node4(s185)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s185) | (~node4(s185)))),
% 9.24/6.76 inference(rewrite,[status(thm)],[])).
% 9.24/6.76 tff(30380,plain,
% 9.24/6.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s185) | (~node4(s185)))),
% 9.24/6.76 inference(quant_inst,[status(thm)],[])).
% 9.24/6.76 tff(30381,plain,
% 9.24/6.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s185) | (~node4(s185))),
% 9.24/6.76 inference(modus_ponens,[status(thm)],[30380, 30379])).
% 9.24/6.76 tff(30382,plain,
% 9.24/6.76 (~node4(s185)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30381, 154, 30378])).
% 9.24/6.76 tff(30383,plain,
% 9.24/6.76 (node4(s185) | (~until5(s185))),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7213, 36, 30337])).
% 9.24/6.76 tff(30384,plain,
% 9.24/6.76 (~until5(s185)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30383, 30382])).
% 9.24/6.76 tff(30385,plain,
% 9.24/6.76 (~xuntil6(s184)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7222, 30384])).
% 9.24/6.76 tff(30386,assumption,(~always3(s184)), introduced(assumption)).
% 9.24/6.76 tff(30387,plain,
% 9.24/6.76 (~always3(s183)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7260, 30386])).
% 9.24/6.76 tff(30388,plain,
% 9.24/6.76 (~node4(s183)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7264, 22, 30387])).
% 9.24/6.76 tff(30389,plain,
% 9.24/6.76 (~always3(s182)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7289, 30387])).
% 9.24/6.76 tff(30390,plain,
% 9.24/6.76 (~node4(s182)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7293, 22, 30389])).
% 9.24/6.76 tff(30391,plain,
% 9.24/6.76 (xuntil6(s182)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30051, 30390])).
% 9.24/6.76 tff(30392,plain,
% 9.24/6.76 (until5(s183)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7280, 30391])).
% 9.24/6.76 tff(30393,plain,
% 9.24/6.76 (xuntil6(s183)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7271, 36, 30392, 30388])).
% 9.24/6.76 tff(30394,plain,
% 9.24/6.76 (until5(s184)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7251, 30393])).
% 9.24/6.76 tff(30395,assumption,(~xuntil6(s184)), introduced(assumption)).
% 9.24/6.76 tff(30396,plain,
% 9.24/6.76 (node4(s184) | (~until5(s184))),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7242, 36, 30395])).
% 9.24/6.76 tff(30397,plain,
% 9.24/6.76 (node4(s184)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30396, 30394])).
% 9.24/6.76 tff(30398,plain,
% 9.24/6.76 ($false),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[7235, 22, 30386, 30397])).
% 9.24/6.76 tff(30399,plain,(always3(s184) | xuntil6(s184) | (~until5(s182))), inference(lemma,lemma(discharge,[]))).
% 9.24/6.76 tff(30400,plain,
% 9.24/6.76 (always3(s184)),
% 9.24/6.76 inference(unit_resolution,[status(thm)],[30399, 30385, 30037])).
% 9.24/6.76 tff(30401,plain,
% 9.24/6.76 (((~![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)))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30402,plain,
% 9.24/6.77 (((~m_main_v_state(s184, c_busy)) | (~always3(s184))) <=> ((~always3(s184)) | (~m_main_v_state(s184, c_busy)))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30403,plain,
% 9.24/6.77 (((~![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))))),
% 9.24/6.77 inference(monotonicity,[status(thm)],[30402])).
% 9.24/6.77 tff(30404,plain,
% 9.24/6.77 (((~![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)))),
% 9.24/6.77 inference(transitivity,[status(thm)],[30403, 30401])).
% 9.24/6.77 tff(30405,plain,
% 9.24/6.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s184, c_busy)) | (~always3(s184)))),
% 9.24/6.77 inference(quant_inst,[status(thm)],[])).
% 9.24/6.77 tff(30406,plain,
% 9.24/6.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s184)) | (~m_main_v_state(s184, c_busy))),
% 9.24/6.77 inference(modus_ponens,[status(thm)],[30405, 30404])).
% 9.24/6.77 tff(30407,plain,
% 9.24/6.77 (~m_main_v_state(s184, c_busy)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30406, 170, 30400])).
% 9.24/6.77 tff(30408,plain,
% 9.24/6.77 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s184, c_busy) | m_main_v_state(s184, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s184, c_busy) | m_main_v_state(s184, c_ready))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30409,plain,
% 9.24/6.77 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s184, c_busy) | m_main_v_state(s184, c_ready))),
% 9.24/6.77 inference(quant_inst,[status(thm)],[])).
% 9.24/6.77 tff(30410,plain,
% 9.24/6.77 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s184, c_busy) | m_main_v_state(s184, c_ready)),
% 9.24/6.77 inference(modus_ponens,[status(thm)],[30409, 30408])).
% 9.24/6.77 tff(30411,plain,
% 9.24/6.77 (m_main_v_state(s184, c_ready)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30410, 213, 30407])).
% 9.24/6.77 tff(30412,plain,
% 9.24/6.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s184, s185)) | node2(s184, s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s184, s185)) | node2(s184, s185))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30413,plain,
% 9.24/6.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s184, s185)) | node2(s184, s185))),
% 9.24/6.77 inference(quant_inst,[status(thm)],[])).
% 9.24/6.77 tff(30414,plain,
% 9.24/6.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s184, s185)) | node2(s184, s185)),
% 9.24/6.77 inference(modus_ponens,[status(thm)],[30413, 30412])).
% 9.24/6.77 tff(30415,plain,
% 9.24/6.77 (node2(s184, s185)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30414, 7, 7227])).
% 9.24/6.77 tff(30416,plain,
% 9.24/6.77 (((~![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(s184, c_ready)) | (~node2(s184, s185)) | m_main_v_state(s185, c_busy) | (~m_main_v_request(s184)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s184, c_ready)) | (~node2(s184, s185)) | m_main_v_state(s185, c_busy) | (~m_main_v_request(s184)))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30417,plain,
% 9.24/6.77 ((~![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(s184, c_ready)) | (~node2(s184, s185)) | m_main_v_state(s185, c_busy) | (~m_main_v_request(s184)))),
% 9.24/6.77 inference(quant_inst,[status(thm)],[])).
% 9.24/6.77 tff(30418,plain,
% 9.24/6.77 ((~![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(s184, c_ready)) | (~node2(s184, s185)) | m_main_v_state(s185, c_busy) | (~m_main_v_request(s184))),
% 9.24/6.77 inference(modus_ponens,[status(thm)],[30417, 30416])).
% 9.24/6.77 tff(30419,plain,
% 9.24/6.77 ((~m_main_v_state(s184, c_ready)) | m_main_v_state(s185, c_busy) | (~m_main_v_request(s184))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30418, 191, 30415])).
% 9.24/6.77 tff(30420,plain,
% 9.24/6.77 (~m_main_v_request(s184)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30419, 30411, 30363])).
% 9.24/6.77 tff(30421,plain,
% 9.24/6.77 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s184) | (~node4(s184)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s184) | (~node4(s184)))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30422,plain,
% 9.24/6.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s184) | (~node4(s184)))),
% 9.24/6.77 inference(quant_inst,[status(thm)],[])).
% 9.24/6.77 tff(30423,plain,
% 9.24/6.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s184) | (~node4(s184))),
% 9.24/6.77 inference(modus_ponens,[status(thm)],[30422, 30421])).
% 9.24/6.77 tff(30424,plain,
% 9.24/6.77 (~node4(s184)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30423, 154, 30420])).
% 9.24/6.77 tff(30425,plain,
% 9.24/6.77 (node4(s184) | (~until5(s184))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7242, 36, 30385])).
% 9.24/6.77 tff(30426,plain,
% 9.24/6.77 (~until5(s184)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30425, 30424])).
% 9.24/6.77 tff(30427,plain,
% 9.24/6.77 (~xuntil6(s183)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7251, 30426])).
% 9.24/6.77 tff(30428,assumption,(~always3(s183)), introduced(assumption)).
% 9.24/6.77 tff(30429,plain,
% 9.24/6.77 (~always3(s182)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7289, 30428])).
% 9.24/6.77 tff(30430,plain,
% 9.24/6.77 (~node4(s182)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7293, 22, 30429])).
% 9.24/6.77 tff(30431,plain,
% 9.24/6.77 (xuntil6(s182)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30051, 30430])).
% 9.24/6.77 tff(30432,plain,
% 9.24/6.77 (until5(s183)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7280, 30431])).
% 9.24/6.77 tff(30433,assumption,(~xuntil6(s183)), introduced(assumption)).
% 9.24/6.77 tff(30434,plain,
% 9.24/6.77 (node4(s183) | (~until5(s183))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7271, 36, 30433])).
% 9.24/6.77 tff(30435,plain,
% 9.24/6.77 (node4(s183)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30434, 30432])).
% 9.24/6.77 tff(30436,plain,
% 9.24/6.77 ($false),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7264, 22, 30428, 30435])).
% 9.24/6.77 tff(30437,plain,(always3(s183) | xuntil6(s183) | (~until5(s182))), inference(lemma,lemma(discharge,[]))).
% 9.24/6.77 tff(30438,plain,
% 9.24/6.77 (always3(s183)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30437, 30427, 30037])).
% 9.24/6.77 tff(30439,plain,
% 9.24/6.77 (((~![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)))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30440,plain,
% 9.24/6.77 (((~m_main_v_state(s183, c_busy)) | (~always3(s183))) <=> ((~always3(s183)) | (~m_main_v_state(s183, c_busy)))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30441,plain,
% 9.24/6.77 (((~![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))))),
% 9.24/6.77 inference(monotonicity,[status(thm)],[30440])).
% 9.24/6.77 tff(30442,plain,
% 9.24/6.77 (((~![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)))),
% 9.24/6.77 inference(transitivity,[status(thm)],[30441, 30439])).
% 9.24/6.77 tff(30443,plain,
% 9.24/6.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s183, c_busy)) | (~always3(s183)))),
% 9.24/6.77 inference(quant_inst,[status(thm)],[])).
% 9.24/6.77 tff(30444,plain,
% 9.24/6.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s183)) | (~m_main_v_state(s183, c_busy))),
% 9.24/6.77 inference(modus_ponens,[status(thm)],[30443, 30442])).
% 9.24/6.77 tff(30445,plain,
% 9.24/6.77 (~m_main_v_state(s183, c_busy)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30444, 170, 30438])).
% 9.24/6.77 tff(30446,plain,
% 9.24/6.77 (((~![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))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30447,plain,
% 9.24/6.77 ((~![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))),
% 9.24/6.77 inference(quant_inst,[status(thm)],[])).
% 9.24/6.77 tff(30448,plain,
% 9.24/6.77 ((~![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)),
% 9.24/6.77 inference(modus_ponens,[status(thm)],[30447, 30446])).
% 9.24/6.77 tff(30449,plain,
% 9.24/6.77 (m_main_v_state(s183, c_ready)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30448, 213, 30445])).
% 9.24/6.77 tff(30450,plain,
% 9.24/6.77 (((~![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))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30451,plain,
% 9.24/6.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s183, s184)) | node2(s183, s184))),
% 9.24/6.77 inference(quant_inst,[status(thm)],[])).
% 9.24/6.77 tff(30452,plain,
% 9.24/6.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s183, s184)) | node2(s183, s184)),
% 9.24/6.77 inference(modus_ponens,[status(thm)],[30451, 30450])).
% 9.24/6.77 tff(30453,plain,
% 9.24/6.77 (node2(s183, s184)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30452, 7, 7256])).
% 9.24/6.77 tff(30454,plain,
% 9.24/6.77 (((~![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(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)))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30455,plain,
% 9.24/6.77 ((~![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(s183, c_ready)) | (~node2(s183, s184)) | m_main_v_state(s184, c_busy) | (~m_main_v_request(s183)))),
% 9.24/6.77 inference(quant_inst,[status(thm)],[])).
% 9.24/6.77 tff(30456,plain,
% 9.24/6.77 ((~![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(s183, c_ready)) | (~node2(s183, s184)) | m_main_v_state(s184, c_busy) | (~m_main_v_request(s183))),
% 9.24/6.77 inference(modus_ponens,[status(thm)],[30455, 30454])).
% 9.24/6.77 tff(30457,plain,
% 9.24/6.77 ((~m_main_v_state(s183, c_ready)) | m_main_v_state(s184, c_busy) | (~m_main_v_request(s183))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30456, 191, 30453])).
% 9.24/6.77 tff(30458,plain,
% 9.24/6.77 (~m_main_v_request(s183)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30457, 30449, 30407])).
% 9.24/6.77 tff(30459,plain,
% 9.24/6.77 (((~![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)))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30460,plain,
% 9.24/6.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s183) | (~node4(s183)))),
% 9.24/6.77 inference(quant_inst,[status(thm)],[])).
% 9.24/6.77 tff(30461,plain,
% 9.24/6.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s183) | (~node4(s183))),
% 9.24/6.77 inference(modus_ponens,[status(thm)],[30460, 30459])).
% 9.24/6.77 tff(30462,plain,
% 9.24/6.77 (~node4(s183)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30461, 154, 30458])).
% 9.24/6.77 tff(30463,plain,
% 9.24/6.77 (node4(s183) | (~until5(s183))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7271, 36, 30427])).
% 9.24/6.77 tff(30464,plain,
% 9.24/6.77 (~until5(s183)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30463, 30462])).
% 9.24/6.77 tff(30465,plain,
% 9.24/6.77 (~xuntil6(s182)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7280, 30464])).
% 9.24/6.77 tff(30466,plain,
% 9.24/6.77 (node4(s182)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30051, 30465])).
% 9.24/6.77 tff(30467,plain,
% 9.24/6.77 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s182) | (~node4(s182)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s182) | (~node4(s182)))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30468,plain,
% 9.24/6.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s182) | (~node4(s182)))),
% 9.24/6.77 inference(quant_inst,[status(thm)],[])).
% 9.24/6.77 tff(30469,plain,
% 9.24/6.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s182) | (~node4(s182))),
% 9.24/6.77 inference(modus_ponens,[status(thm)],[30468, 30467])).
% 9.24/6.77 tff(30470,plain,
% 9.24/6.77 (m_main_v_request(s182)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30469, 154, 30466])).
% 9.24/6.77 tff(30471,plain,
% 9.24/6.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s182, s183)) | node2(s182, s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s182, s183)) | node2(s182, s183))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30472,plain,
% 9.24/6.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s182, s183)) | node2(s182, s183))),
% 9.24/6.77 inference(quant_inst,[status(thm)],[])).
% 9.24/6.77 tff(30473,plain,
% 9.24/6.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s182, s183)) | node2(s182, s183)),
% 9.24/6.77 inference(modus_ponens,[status(thm)],[30472, 30471])).
% 9.24/6.77 tff(30474,plain,
% 9.24/6.77 (node2(s182, s183)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30473, 7, 7285])).
% 9.24/6.77 tff(30475,plain,
% 9.24/6.77 (((~![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(s182, c_ready)) | (~node2(s182, s183)) | m_main_v_state(s183, c_busy) | (~m_main_v_request(s182)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s182, c_ready)) | (~node2(s182, s183)) | m_main_v_state(s183, c_busy) | (~m_main_v_request(s182)))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30476,plain,
% 9.24/6.77 ((~![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(s182, c_ready)) | (~node2(s182, s183)) | m_main_v_state(s183, c_busy) | (~m_main_v_request(s182)))),
% 9.24/6.77 inference(quant_inst,[status(thm)],[])).
% 9.24/6.77 tff(30477,plain,
% 9.24/6.77 ((~![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(s182, c_ready)) | (~node2(s182, s183)) | m_main_v_state(s183, c_busy) | (~m_main_v_request(s182))),
% 9.24/6.77 inference(modus_ponens,[status(thm)],[30476, 30475])).
% 9.24/6.77 tff(30478,plain,
% 9.24/6.77 ((~m_main_v_state(s182, c_ready)) | m_main_v_state(s183, c_busy) | (~m_main_v_request(s182))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30477, 191, 30474])).
% 9.24/6.77 tff(30479,plain,
% 9.24/6.77 (~m_main_v_state(s182, c_ready)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30478, 30470, 30445])).
% 9.24/6.77 tff(30480,plain,
% 9.24/6.77 (always3(s182)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7293, 22, 30466])).
% 9.24/6.77 tff(30481,plain,
% 9.24/6.77 (~m_main_v_state(s182, c_busy)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[29863, 170, 30480])).
% 9.24/6.77 tff(30482,plain,
% 9.24/6.77 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s182, c_busy) | m_main_v_state(s182, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s182, c_busy) | m_main_v_state(s182, c_ready))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30483,plain,
% 9.24/6.77 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s182, c_busy) | m_main_v_state(s182, c_ready))),
% 9.24/6.77 inference(quant_inst,[status(thm)],[])).
% 9.24/6.77 tff(30484,plain,
% 9.24/6.77 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s182, c_busy) | m_main_v_state(s182, c_ready)),
% 9.24/6.77 inference(modus_ponens,[status(thm)],[30483, 30482])).
% 9.24/6.77 tff(30485,plain,
% 9.24/6.77 ($false),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30484, 213, 30481, 30479])).
% 9.24/6.77 tff(30486,plain,((~until5(s182)) | xuntil6(s191) | m_main_v_state(s192, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.24/6.77 tff(30487,plain,
% 9.24/6.77 (xuntil6(s191)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30486, 30032, 30037])).
% 9.24/6.77 tff(30488,plain,
% 9.24/6.77 (until5(s192)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7019, 30487])).
% 9.24/6.77 tff(30489,plain,
% 9.24/6.77 (node4(s192)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[29925, 30488])).
% 9.24/6.77 tff(30490,plain,
% 9.24/6.77 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s192) | (~node4(s192)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s192) | (~node4(s192)))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30491,plain,
% 9.24/6.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s192) | (~node4(s192)))),
% 9.24/6.77 inference(quant_inst,[status(thm)],[])).
% 9.24/6.77 tff(30492,plain,
% 9.24/6.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s192) | (~node4(s192))),
% 9.24/6.77 inference(modus_ponens,[status(thm)],[30491, 30490])).
% 9.24/6.77 tff(30493,plain,
% 9.24/6.77 (m_main_v_request(s192)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30492, 154, 30489])).
% 9.24/6.77 tff(30494,plain,
% 9.24/6.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s192, s193)) | node2(s192, s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s192, s193)) | node2(s192, s193))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30495,plain,
% 9.24/6.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s192, s193)) | node2(s192, s193))),
% 9.24/6.77 inference(quant_inst,[status(thm)],[])).
% 9.24/6.77 tff(30496,plain,
% 9.24/6.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s192, s193)) | node2(s192, s193)),
% 9.24/6.77 inference(modus_ponens,[status(thm)],[30495, 30494])).
% 9.24/6.77 tff(30497,plain,
% 9.24/6.77 (node2(s192, s193)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30496, 7, 6995])).
% 9.24/6.77 tff(30498,plain,
% 9.24/6.77 (((~![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(s192, c_ready)) | (~node2(s192, s193)) | m_main_v_state(s193, c_busy) | (~m_main_v_request(s192)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s192, c_ready)) | (~node2(s192, s193)) | m_main_v_state(s193, c_busy) | (~m_main_v_request(s192)))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30499,plain,
% 9.24/6.77 ((~![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(s192, c_ready)) | (~node2(s192, s193)) | m_main_v_state(s193, c_busy) | (~m_main_v_request(s192)))),
% 9.24/6.77 inference(quant_inst,[status(thm)],[])).
% 9.24/6.77 tff(30500,plain,
% 9.24/6.77 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s192, c_ready)) | (~node2(s192, s193)) | m_main_v_state(s193, c_busy) | (~m_main_v_request(s192))),
% 9.24/6.77 inference(modus_ponens,[status(thm)],[30499, 30498])).
% 9.24/6.77 tff(30501,plain,
% 9.24/6.77 ((~m_main_v_state(s192, c_ready)) | m_main_v_state(s193, c_busy) | (~m_main_v_request(s192))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30500, 191, 30497])).
% 9.24/6.77 tff(30502,plain,
% 9.24/6.77 ($false),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30501, 30493, 30036, 30025])).
% 9.24/6.77 tff(30503,plain,(xuntil6(s192) | (~until5(s182))), inference(lemma,lemma(discharge,[]))).
% 9.24/6.77 tff(30504,plain,
% 9.24/6.77 (xuntil6(s192)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30503, 29919])).
% 9.24/6.77 tff(30505,plain,
% 9.24/6.77 (until5(s193)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[6990, 30504])).
% 9.24/6.77 tff(30506,assumption,(until5(s193)), introduced(assumption)).
% 9.24/6.77 tff(30507,assumption,(~xuntil6(s195)), introduced(assumption)).
% 9.24/6.77 tff(30508,assumption,(~always3(s195)), introduced(assumption)).
% 9.24/6.77 tff(30509,plain,
% 9.24/6.77 (~always3(s194)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[6941, 30508])).
% 9.24/6.77 tff(30510,plain,
% 9.24/6.77 (~node4(s194)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[6945, 22, 30509])).
% 9.24/6.77 tff(30511,plain,
% 9.24/6.77 (~node4(s195)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[6916, 22, 30508])).
% 9.24/6.77 tff(30512,plain,
% 9.24/6.77 (node4(s195) | (~until5(s195))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[6923, 36, 30507])).
% 9.24/6.77 tff(30513,plain,
% 9.24/6.77 (~until5(s195)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30512, 30511])).
% 9.24/6.77 tff(30514,plain,
% 9.24/6.77 (~xuntil6(s194)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[6932, 30513])).
% 9.24/6.77 tff(30515,plain,
% 9.24/6.77 (~until5(s194)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[6952, 36, 30514, 30510])).
% 9.24/6.77 tff(30516,plain,
% 9.24/6.77 (~xuntil6(s193)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[6961, 30515])).
% 9.24/6.77 tff(30517,plain,
% 9.24/6.77 (~always3(s193)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[6970, 30509])).
% 9.24/6.77 tff(30518,plain,
% 9.24/6.77 (~node4(s193)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[6974, 22, 30517])).
% 9.24/6.77 tff(30519,plain,
% 9.24/6.77 (xuntil6(s193) | (~until5(s193))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[6981, 36, 30518])).
% 9.24/6.77 tff(30520,plain,
% 9.24/6.77 (~until5(s193)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30519, 30516])).
% 9.24/6.77 tff(30521,plain,
% 9.24/6.77 (~xuntil6(s192)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[6990, 30520])).
% 9.24/6.77 tff(30522,plain,
% 9.24/6.77 (~always3(s192)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[6999, 30517])).
% 9.24/6.77 tff(30523,plain,
% 9.24/6.77 (~node4(s192)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7003, 22, 30522])).
% 9.24/6.77 tff(30524,plain,
% 9.24/6.77 (xuntil6(s192) | (~until5(s192))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7010, 36, 30523])).
% 9.24/6.77 tff(30525,plain,
% 9.24/6.77 (~until5(s192)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30524, 30521])).
% 9.24/6.77 tff(30526,plain,
% 9.24/6.77 (~xuntil6(s191)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7019, 30525])).
% 9.24/6.77 tff(30527,plain,
% 9.24/6.77 (~always3(s191)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7028, 30522])).
% 9.24/6.77 tff(30528,plain,
% 9.24/6.77 (~node4(s191)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7032, 22, 30527])).
% 9.24/6.77 tff(30529,plain,
% 9.24/6.77 (xuntil6(s191) | (~until5(s191))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7039, 36, 30528])).
% 9.24/6.77 tff(30530,plain,
% 9.24/6.77 (~until5(s191)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30529, 30526])).
% 9.24/6.77 tff(30531,plain,
% 9.24/6.77 (~xuntil6(s190)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7048, 30530])).
% 9.24/6.77 tff(30532,plain,
% 9.24/6.77 (~always3(s190)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7057, 30527])).
% 9.24/6.77 tff(30533,plain,
% 9.24/6.77 (~node4(s190)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7061, 22, 30532])).
% 9.24/6.77 tff(30534,plain,
% 9.24/6.77 (xuntil6(s190) | (~until5(s190))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7068, 36, 30533])).
% 9.24/6.77 tff(30535,plain,
% 9.24/6.77 (~until5(s190)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30534, 30531])).
% 9.24/6.77 tff(30536,plain,
% 9.24/6.77 (~xuntil6(s189)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7077, 30535])).
% 9.24/6.77 tff(30537,plain,
% 9.24/6.77 (~always3(s189)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7086, 30532])).
% 9.24/6.77 tff(30538,plain,
% 9.24/6.77 (~node4(s189)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7090, 22, 30537])).
% 9.24/6.77 tff(30539,plain,
% 9.24/6.77 (xuntil6(s189) | (~until5(s189))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7097, 36, 30538])).
% 9.24/6.77 tff(30540,plain,
% 9.24/6.77 (~until5(s189)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30539, 30536])).
% 9.24/6.77 tff(30541,plain,
% 9.24/6.77 (~xuntil6(s188)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7106, 30540])).
% 9.24/6.77 tff(30542,plain,
% 9.24/6.77 (~always3(s188)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7115, 30537])).
% 9.24/6.77 tff(30543,plain,
% 9.24/6.77 (~node4(s188)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7119, 22, 30542])).
% 9.24/6.77 tff(30544,plain,
% 9.24/6.77 (xuntil6(s188) | (~until5(s188))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7126, 36, 30543])).
% 9.24/6.77 tff(30545,plain,
% 9.24/6.77 (~until5(s188)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30544, 30541])).
% 9.24/6.77 tff(30546,plain,
% 9.24/6.77 (~xuntil6(s187)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7135, 30545])).
% 9.24/6.77 tff(30547,plain,
% 9.24/6.77 (~always3(s187)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7144, 30542])).
% 9.24/6.77 tff(30548,plain,
% 9.24/6.77 (~node4(s187)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7148, 22, 30547])).
% 9.24/6.77 tff(30549,plain,
% 9.24/6.77 (xuntil6(s187) | (~until5(s187))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7155, 36, 30548])).
% 9.24/6.77 tff(30550,plain,
% 9.24/6.77 (~until5(s187)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30549, 30546])).
% 9.24/6.77 tff(30551,plain,
% 9.24/6.77 (~xuntil6(s186)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7164, 30550])).
% 9.24/6.77 tff(30552,plain,
% 9.24/6.77 (~always3(s186)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7173, 30547])).
% 9.24/6.77 tff(30553,plain,
% 9.24/6.77 (~node4(s186)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7177, 22, 30552])).
% 9.24/6.77 tff(30554,plain,
% 9.24/6.77 (xuntil6(s186) | (~until5(s186))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7184, 36, 30553])).
% 9.24/6.77 tff(30555,plain,
% 9.24/6.77 (~until5(s186)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30554, 30551])).
% 9.24/6.77 tff(30556,plain,
% 9.24/6.77 (~xuntil6(s185)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7193, 30555])).
% 9.24/6.77 tff(30557,plain,
% 9.24/6.77 (~always3(s185)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7202, 30552])).
% 9.24/6.77 tff(30558,plain,
% 9.24/6.77 (~node4(s185)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7206, 22, 30557])).
% 9.24/6.77 tff(30559,plain,
% 9.24/6.77 (xuntil6(s185) | (~until5(s185))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7213, 36, 30558])).
% 9.24/6.77 tff(30560,plain,
% 9.24/6.77 (~until5(s185)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30559, 30556])).
% 9.24/6.77 tff(30561,plain,
% 9.24/6.77 (~always3(s184)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7231, 30557])).
% 9.24/6.77 tff(30562,plain,
% 9.24/6.77 (~always3(s183)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7260, 30561])).
% 9.24/6.77 tff(30563,plain,
% 9.24/6.77 (~always3(s182)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7289, 30562])).
% 9.24/6.77 tff(30564,plain,
% 9.24/6.77 (~always3(s181)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7318, 30563])).
% 9.24/6.77 tff(30565,plain,
% 9.24/6.77 (~always3(s180)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7347, 30564])).
% 9.24/6.77 tff(30566,plain,
% 9.24/6.77 (~always3(s179)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7376, 30565])).
% 9.24/6.77 tff(30567,plain,
% 9.24/6.77 (~always3(s178)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7405, 30566])).
% 9.24/6.77 tff(30568,plain,
% 9.24/6.77 (~always3(s177)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7434, 30567])).
% 9.24/6.77 tff(30569,plain,
% 9.24/6.77 (~always3(s176)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7463, 30568])).
% 9.24/6.77 tff(30570,plain,
% 9.24/6.77 (~always3(s175)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7492, 30569])).
% 9.24/6.77 tff(30571,plain,
% 9.24/6.77 (~node4(s175)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7496, 22, 30570])).
% 9.24/6.77 tff(30572,plain,
% 9.24/6.77 (~always3(s174)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7521, 30570])).
% 9.24/6.77 tff(30573,plain,
% 9.24/6.77 (~node4(s174)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7525, 22, 30572])).
% 9.24/6.77 tff(30574,plain,
% 9.24/6.77 (~always3(s173)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7550, 30572])).
% 9.24/6.77 tff(30575,plain,
% 9.24/6.77 (xuntil6(s173)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[29489, 30574])).
% 9.24/6.77 tff(30576,plain,
% 9.24/6.77 (until5(s174)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7541, 30575])).
% 9.24/6.77 tff(30577,plain,
% 9.24/6.77 (xuntil6(s174) | node4(s174)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7532, 36, 30576])).
% 9.24/6.77 tff(30578,plain,
% 9.24/6.77 (xuntil6(s174)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30577, 30573])).
% 9.24/6.77 tff(30579,plain,
% 9.24/6.77 (until5(s175)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7512, 30578])).
% 9.24/6.77 tff(30580,plain,
% 9.24/6.77 (xuntil6(s175)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7503, 36, 30579, 30571])).
% 9.24/6.77 tff(30581,plain,
% 9.24/6.77 (until5(s176)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7483, 30580])).
% 9.24/6.77 tff(30582,plain,
% 9.24/6.77 (~node4(s176)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7467, 22, 30569])).
% 9.24/6.77 tff(30583,plain,
% 9.24/6.77 (xuntil6(s176) | (~until5(s176))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7474, 36, 30582])).
% 9.24/6.77 tff(30584,plain,
% 9.24/6.77 (xuntil6(s176)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30583, 30581])).
% 9.24/6.77 tff(30585,plain,
% 9.24/6.77 (until5(s177)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7454, 30584])).
% 9.24/6.77 tff(30586,plain,
% 9.24/6.77 (~node4(s177)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7438, 22, 30568])).
% 9.24/6.77 tff(30587,plain,
% 9.24/6.77 (xuntil6(s177) | (~until5(s177))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7445, 36, 30586])).
% 9.24/6.77 tff(30588,plain,
% 9.24/6.77 (xuntil6(s177)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30587, 30585])).
% 9.24/6.77 tff(30589,plain,
% 9.24/6.77 (until5(s178)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7425, 30588])).
% 9.24/6.77 tff(30590,plain,
% 9.24/6.77 (~node4(s178)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7409, 22, 30567])).
% 9.24/6.77 tff(30591,plain,
% 9.24/6.77 (xuntil6(s178) | (~until5(s178))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7416, 36, 30590])).
% 9.24/6.77 tff(30592,plain,
% 9.24/6.77 (xuntil6(s178)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30591, 30589])).
% 9.24/6.77 tff(30593,plain,
% 9.24/6.77 (until5(s179)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7396, 30592])).
% 9.24/6.77 tff(30594,plain,
% 9.24/6.77 (~node4(s179)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7380, 22, 30566])).
% 9.24/6.77 tff(30595,plain,
% 9.24/6.77 (xuntil6(s179) | (~until5(s179))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7387, 36, 30594])).
% 9.24/6.77 tff(30596,plain,
% 9.24/6.77 (xuntil6(s179)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30595, 30593])).
% 9.24/6.77 tff(30597,plain,
% 9.24/6.77 (until5(s180)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7367, 30596])).
% 9.24/6.77 tff(30598,plain,
% 9.24/6.77 (~node4(s180)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7351, 22, 30565])).
% 9.24/6.77 tff(30599,plain,
% 9.24/6.77 (xuntil6(s180) | (~until5(s180))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7358, 36, 30598])).
% 9.24/6.77 tff(30600,plain,
% 9.24/6.77 (xuntil6(s180)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30599, 30597])).
% 9.24/6.77 tff(30601,plain,
% 9.24/6.77 (until5(s181)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7338, 30600])).
% 9.24/6.77 tff(30602,plain,
% 9.24/6.77 (~node4(s181)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7322, 22, 30564])).
% 9.24/6.77 tff(30603,plain,
% 9.24/6.77 (xuntil6(s181) | (~until5(s181))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7329, 36, 30602])).
% 9.24/6.77 tff(30604,plain,
% 9.24/6.77 (xuntil6(s181)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30603, 30601])).
% 9.24/6.77 tff(30605,plain,
% 9.24/6.77 (until5(s182)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7309, 30604])).
% 9.24/6.77 tff(30606,plain,
% 9.24/6.77 (~node4(s182)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7293, 22, 30563])).
% 9.24/6.77 tff(30607,plain,
% 9.24/6.77 (xuntil6(s182) | (~until5(s182))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7300, 36, 30606])).
% 9.24/6.77 tff(30608,plain,
% 9.24/6.77 (xuntil6(s182)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30607, 30605])).
% 9.24/6.77 tff(30609,plain,
% 9.24/6.77 (until5(s183)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7280, 30608])).
% 9.24/6.77 tff(30610,plain,
% 9.24/6.77 (~node4(s183)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7264, 22, 30562])).
% 9.24/6.77 tff(30611,plain,
% 9.24/6.77 (xuntil6(s183) | (~until5(s183))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7271, 36, 30610])).
% 9.24/6.77 tff(30612,plain,
% 9.24/6.77 (xuntil6(s183)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30611, 30609])).
% 9.24/6.77 tff(30613,plain,
% 9.24/6.77 (until5(s184)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7251, 30612])).
% 9.24/6.77 tff(30614,plain,
% 9.24/6.77 (~node4(s184)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7235, 22, 30561])).
% 9.24/6.77 tff(30615,plain,
% 9.24/6.77 (xuntil6(s184) | (~until5(s184))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7242, 36, 30614])).
% 9.24/6.77 tff(30616,plain,
% 9.24/6.77 (xuntil6(s184)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30615, 30613])).
% 9.24/6.77 tff(30617,plain,
% 9.24/6.77 ($false),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[7222, 30616, 30560])).
% 9.24/6.77 tff(30618,plain,(always3(s195) | xuntil6(s195)), inference(lemma,lemma(discharge,[]))).
% 9.24/6.77 tff(30619,plain,
% 9.24/6.77 (always3(s195)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30618, 30507])).
% 9.24/6.77 tff(30620,plain,
% 9.24/6.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s195)) | (~m_main_v_state(s195, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s195)) | (~m_main_v_state(s195, c_busy)))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30621,plain,
% 9.24/6.77 (((~m_main_v_state(s195, c_busy)) | (~always3(s195))) <=> ((~always3(s195)) | (~m_main_v_state(s195, c_busy)))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30622,plain,
% 9.24/6.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s195, c_busy)) | (~always3(s195)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s195)) | (~m_main_v_state(s195, c_busy))))),
% 9.24/6.77 inference(monotonicity,[status(thm)],[30621])).
% 9.24/6.77 tff(30623,plain,
% 9.24/6.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s195, c_busy)) | (~always3(s195)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s195)) | (~m_main_v_state(s195, c_busy)))),
% 9.24/6.77 inference(transitivity,[status(thm)],[30622, 30620])).
% 9.24/6.77 tff(30624,plain,
% 9.24/6.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s195, c_busy)) | (~always3(s195)))),
% 9.24/6.77 inference(quant_inst,[status(thm)],[])).
% 9.24/6.77 tff(30625,plain,
% 9.24/6.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s195)) | (~m_main_v_state(s195, c_busy))),
% 9.24/6.77 inference(modus_ponens,[status(thm)],[30624, 30623])).
% 9.24/6.77 tff(30626,plain,
% 9.24/6.77 (~m_main_v_state(s195, c_busy)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30625, 170, 30619])).
% 9.24/6.77 tff(30627,assumption,(~xuntil6(s194)), introduced(assumption)).
% 9.24/6.77 tff(30628,assumption,(~always3(s194)), introduced(assumption)).
% 9.24/6.77 tff(30629,plain,
% 9.24/6.77 (~always3(s193)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[6970, 30628])).
% 9.24/6.77 tff(30630,plain,
% 9.24/6.77 (~node4(s193)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[6974, 22, 30629])).
% 9.24/6.77 tff(30631,plain,
% 9.24/6.77 (xuntil6(s193) | node4(s193)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[6981, 36, 30506])).
% 9.24/6.77 tff(30632,plain,
% 9.24/6.77 (xuntil6(s193)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30631, 30630])).
% 9.24/6.77 tff(30633,plain,
% 9.24/6.77 (until5(s194)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[6961, 30632])).
% 9.24/6.77 tff(30634,plain,
% 9.24/6.77 (node4(s194) | (~until5(s194))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[6952, 36, 30627])).
% 9.24/6.77 tff(30635,plain,
% 9.24/6.77 (node4(s194)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30634, 30633])).
% 9.24/6.77 tff(30636,plain,
% 9.24/6.77 ($false),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[6945, 22, 30628, 30635])).
% 9.24/6.77 tff(30637,plain,(always3(s194) | xuntil6(s194) | (~until5(s193))), inference(lemma,lemma(discharge,[]))).
% 9.24/6.77 tff(30638,plain,
% 9.24/6.77 (always3(s194)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30637, 30506, 30627])).
% 9.24/6.77 tff(30639,plain,
% 9.24/6.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s194)) | (~m_main_v_state(s194, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s194)) | (~m_main_v_state(s194, c_busy)))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30640,plain,
% 9.24/6.77 (((~m_main_v_state(s194, c_busy)) | (~always3(s194))) <=> ((~always3(s194)) | (~m_main_v_state(s194, c_busy)))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30641,plain,
% 9.24/6.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s194, c_busy)) | (~always3(s194)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s194)) | (~m_main_v_state(s194, c_busy))))),
% 9.24/6.77 inference(monotonicity,[status(thm)],[30640])).
% 9.24/6.77 tff(30642,plain,
% 9.24/6.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s194, c_busy)) | (~always3(s194)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s194)) | (~m_main_v_state(s194, c_busy)))),
% 9.24/6.77 inference(transitivity,[status(thm)],[30641, 30639])).
% 9.24/6.77 tff(30643,plain,
% 9.24/6.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s194, c_busy)) | (~always3(s194)))),
% 9.24/6.77 inference(quant_inst,[status(thm)],[])).
% 9.24/6.77 tff(30644,plain,
% 9.24/6.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s194)) | (~m_main_v_state(s194, c_busy))),
% 9.24/6.77 inference(modus_ponens,[status(thm)],[30643, 30642])).
% 9.24/6.77 tff(30645,plain,
% 9.24/6.77 (~m_main_v_state(s194, c_busy)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30644, 170, 30638])).
% 9.24/6.77 tff(30646,assumption,(~m_main_v_state(s195, c_busy)), introduced(assumption)).
% 9.24/6.77 tff(30647,plain,
% 9.24/6.77 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s194, c_busy) | m_main_v_state(s194, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s194, c_busy) | m_main_v_state(s194, c_ready))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30648,plain,
% 9.24/6.77 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s194, c_busy) | m_main_v_state(s194, c_ready))),
% 9.24/6.77 inference(quant_inst,[status(thm)],[])).
% 9.24/6.77 tff(30649,plain,
% 9.24/6.77 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s194, c_busy) | m_main_v_state(s194, c_ready)),
% 9.24/6.77 inference(modus_ponens,[status(thm)],[30648, 30647])).
% 9.24/6.77 tff(30650,plain,
% 9.24/6.77 (m_main_v_state(s194, c_ready)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30649, 213, 30645])).
% 9.24/6.77 tff(30651,plain,
% 9.24/6.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s194, s195)) | node2(s194, s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s194, s195)) | node2(s194, s195))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30652,plain,
% 9.24/6.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s194, s195)) | node2(s194, s195))),
% 9.24/6.77 inference(quant_inst,[status(thm)],[])).
% 9.24/6.77 tff(30653,plain,
% 9.24/6.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s194, s195)) | node2(s194, s195)),
% 9.24/6.77 inference(modus_ponens,[status(thm)],[30652, 30651])).
% 9.24/6.77 tff(30654,plain,
% 9.24/6.77 (node2(s194, s195)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30653, 7, 6937])).
% 9.24/6.77 tff(30655,plain,
% 9.24/6.77 (((~![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(s194, c_ready)) | (~node2(s194, s195)) | m_main_v_state(s195, c_busy) | (~m_main_v_request(s194)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s194, c_ready)) | (~node2(s194, s195)) | m_main_v_state(s195, c_busy) | (~m_main_v_request(s194)))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30656,plain,
% 9.24/6.77 ((~![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(s194, c_ready)) | (~node2(s194, s195)) | m_main_v_state(s195, c_busy) | (~m_main_v_request(s194)))),
% 9.24/6.77 inference(quant_inst,[status(thm)],[])).
% 9.24/6.77 tff(30657,plain,
% 9.24/6.77 ((~![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(s194, c_ready)) | (~node2(s194, s195)) | m_main_v_state(s195, c_busy) | (~m_main_v_request(s194))),
% 9.24/6.77 inference(modus_ponens,[status(thm)],[30656, 30655])).
% 9.24/6.77 tff(30658,plain,
% 9.24/6.77 ((~m_main_v_state(s194, c_ready)) | m_main_v_state(s195, c_busy) | (~m_main_v_request(s194))),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30657, 191, 30654])).
% 9.24/6.77 tff(30659,plain,
% 9.24/6.77 (~m_main_v_request(s194)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30658, 30650, 30646])).
% 9.24/6.77 tff(30660,plain,
% 9.24/6.77 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s194) | (~node4(s194)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s194) | (~node4(s194)))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30661,plain,
% 9.24/6.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s194) | (~node4(s194)))),
% 9.24/6.77 inference(quant_inst,[status(thm)],[])).
% 9.24/6.77 tff(30662,plain,
% 9.24/6.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s194) | (~node4(s194))),
% 9.24/6.77 inference(modus_ponens,[status(thm)],[30661, 30660])).
% 9.24/6.77 tff(30663,plain,
% 9.24/6.77 (~node4(s194)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30662, 154, 30659])).
% 9.24/6.77 tff(30664,plain,
% 9.24/6.77 (~until5(s194)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30634, 30663])).
% 9.24/6.77 tff(30665,plain,
% 9.24/6.77 (~xuntil6(s193)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[6961, 30664])).
% 9.24/6.77 tff(30666,plain,
% 9.24/6.77 (node4(s193)),
% 9.24/6.77 inference(unit_resolution,[status(thm)],[30631, 30665])).
% 9.24/6.77 tff(30667,plain,
% 9.24/6.77 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s193) | (~node4(s193)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s193) | (~node4(s193)))),
% 9.24/6.77 inference(rewrite,[status(thm)],[])).
% 9.24/6.77 tff(30668,plain,
% 9.24/6.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s193) | (~node4(s193)))),
% 9.24/6.77 inference(quant_inst,[status(thm)],[])).
% 9.24/6.77 tff(30669,plain,
% 9.24/6.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s193) | (~node4(s193))),
% 9.34/6.78 inference(modus_ponens,[status(thm)],[30668, 30667])).
% 9.34/6.78 tff(30670,plain,
% 9.34/6.78 (m_main_v_request(s193)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30669, 154, 30666])).
% 9.34/6.78 tff(30671,plain,
% 9.34/6.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s193, s194)) | node2(s193, s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s193, s194)) | node2(s193, s194))),
% 9.34/6.78 inference(rewrite,[status(thm)],[])).
% 9.34/6.78 tff(30672,plain,
% 9.34/6.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s193, s194)) | node2(s193, s194))),
% 9.34/6.78 inference(quant_inst,[status(thm)],[])).
% 9.34/6.78 tff(30673,plain,
% 9.34/6.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s193, s194)) | node2(s193, s194)),
% 9.34/6.78 inference(modus_ponens,[status(thm)],[30672, 30671])).
% 9.34/6.78 tff(30674,plain,
% 9.34/6.78 (node2(s193, s194)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30673, 7, 6966])).
% 9.34/6.78 tff(30675,plain,
% 9.34/6.78 (((~![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(s193, c_ready)) | (~node2(s193, s194)) | m_main_v_state(s194, c_busy) | (~m_main_v_request(s193)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s193, c_ready)) | (~node2(s193, s194)) | m_main_v_state(s194, c_busy) | (~m_main_v_request(s193)))),
% 9.34/6.78 inference(rewrite,[status(thm)],[])).
% 9.34/6.78 tff(30676,plain,
% 9.34/6.78 ((~![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(s193, c_ready)) | (~node2(s193, s194)) | m_main_v_state(s194, c_busy) | (~m_main_v_request(s193)))),
% 9.34/6.78 inference(quant_inst,[status(thm)],[])).
% 9.34/6.78 tff(30677,plain,
% 9.34/6.78 ((~![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(s193, c_ready)) | (~node2(s193, s194)) | m_main_v_state(s194, c_busy) | (~m_main_v_request(s193))),
% 9.34/6.78 inference(modus_ponens,[status(thm)],[30676, 30675])).
% 9.34/6.78 tff(30678,plain,
% 9.34/6.78 ((~m_main_v_state(s193, c_ready)) | m_main_v_state(s194, c_busy) | (~m_main_v_request(s193))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30677, 191, 30674])).
% 9.34/6.78 tff(30679,plain,
% 9.34/6.78 (~m_main_v_state(s193, c_ready)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30678, 30670, 30645])).
% 9.34/6.78 tff(30680,plain,
% 9.34/6.78 (always3(s193)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6974, 22, 30666])).
% 9.34/6.78 tff(30681,plain,
% 9.34/6.78 (~m_main_v_state(s193, c_busy)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30024, 170, 30680])).
% 9.34/6.78 tff(30682,plain,
% 9.34/6.78 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s193, c_busy) | m_main_v_state(s193, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s193, c_busy) | m_main_v_state(s193, c_ready))),
% 9.34/6.78 inference(rewrite,[status(thm)],[])).
% 9.34/6.78 tff(30683,plain,
% 9.34/6.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s193, c_busy) | m_main_v_state(s193, c_ready))),
% 9.34/6.78 inference(quant_inst,[status(thm)],[])).
% 9.34/6.78 tff(30684,plain,
% 9.34/6.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s193, c_busy) | m_main_v_state(s193, c_ready)),
% 9.34/6.78 inference(modus_ponens,[status(thm)],[30683, 30682])).
% 9.34/6.78 tff(30685,plain,
% 9.34/6.78 ($false),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30684, 213, 30681, 30679])).
% 9.34/6.78 tff(30686,plain,((~until5(s193)) | xuntil6(s194) | m_main_v_state(s195, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.34/6.78 tff(30687,plain,
% 9.34/6.78 (xuntil6(s194)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30686, 30626, 30506])).
% 9.34/6.78 tff(30688,plain,
% 9.34/6.78 (until5(s195)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6932, 30687])).
% 9.34/6.78 tff(30689,plain,
% 9.34/6.78 (node4(s195)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30512, 30688])).
% 9.34/6.78 tff(30690,plain,
% 9.34/6.78 (always3(s196)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6912, 30619])).
% 9.34/6.78 tff(30691,plain,
% 9.34/6.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s196)) | (~m_main_v_state(s196, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s196)) | (~m_main_v_state(s196, c_busy)))),
% 9.34/6.78 inference(rewrite,[status(thm)],[])).
% 9.34/6.78 tff(30692,plain,
% 9.34/6.78 (((~m_main_v_state(s196, c_busy)) | (~always3(s196))) <=> ((~always3(s196)) | (~m_main_v_state(s196, c_busy)))),
% 9.34/6.78 inference(rewrite,[status(thm)],[])).
% 9.34/6.78 tff(30693,plain,
% 9.34/6.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s196, c_busy)) | (~always3(s196)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s196)) | (~m_main_v_state(s196, c_busy))))),
% 9.34/6.78 inference(monotonicity,[status(thm)],[30692])).
% 9.34/6.78 tff(30694,plain,
% 9.34/6.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s196, c_busy)) | (~always3(s196)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s196)) | (~m_main_v_state(s196, c_busy)))),
% 9.34/6.78 inference(transitivity,[status(thm)],[30693, 30691])).
% 9.34/6.78 tff(30695,plain,
% 9.34/6.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s196, c_busy)) | (~always3(s196)))),
% 9.34/6.78 inference(quant_inst,[status(thm)],[])).
% 9.34/6.78 tff(30696,plain,
% 9.34/6.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s196)) | (~m_main_v_state(s196, c_busy))),
% 9.34/6.78 inference(modus_ponens,[status(thm)],[30695, 30694])).
% 9.34/6.78 tff(30697,plain,
% 9.34/6.78 (~m_main_v_state(s196, c_busy)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30696, 170, 30690])).
% 9.34/6.78 tff(30698,assumption,(~m_main_v_state(s195, c_ready)), introduced(assumption)).
% 9.34/6.78 tff(30699,plain,
% 9.34/6.78 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s194, s195)) | m_main_v_state(s195, c_busy) | node1(s194) | m_main_v_state(s195, 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(s194, s195)) | m_main_v_state(s195, c_busy) | node1(s194) | m_main_v_state(s195, c_ready))),
% 9.34/6.78 inference(rewrite,[status(thm)],[])).
% 9.34/6.78 tff(30700,plain,
% 9.34/6.78 ((node1(s194) | m_main_v_state(s195, c_ready) | (~node2(s194, s195)) | m_main_v_state(s195, c_busy)) <=> ((~node2(s194, s195)) | m_main_v_state(s195, c_busy) | node1(s194) | m_main_v_state(s195, c_ready))),
% 9.34/6.78 inference(rewrite,[status(thm)],[])).
% 9.34/6.78 tff(30701,plain,
% 9.34/6.78 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s194) | m_main_v_state(s195, c_ready) | (~node2(s194, s195)) | m_main_v_state(s195, 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(s194, s195)) | m_main_v_state(s195, c_busy) | node1(s194) | m_main_v_state(s195, c_ready)))),
% 9.34/6.78 inference(monotonicity,[status(thm)],[30700])).
% 9.34/6.78 tff(30702,plain,
% 9.34/6.78 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s194) | m_main_v_state(s195, c_ready) | (~node2(s194, s195)) | m_main_v_state(s195, 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(s194, s195)) | m_main_v_state(s195, c_busy) | node1(s194) | m_main_v_state(s195, c_ready))),
% 9.34/6.78 inference(transitivity,[status(thm)],[30701, 30699])).
% 9.34/6.78 tff(30703,plain,
% 9.34/6.78 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s194) | m_main_v_state(s195, c_ready) | (~node2(s194, s195)) | m_main_v_state(s195, c_busy))),
% 9.34/6.78 inference(quant_inst,[status(thm)],[])).
% 9.34/6.78 tff(30704,plain,
% 9.34/6.78 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s194, s195)) | m_main_v_state(s195, c_busy) | node1(s194) | m_main_v_state(s195, c_ready)),
% 9.34/6.78 inference(modus_ponens,[status(thm)],[30703, 30702])).
% 9.34/6.78 tff(30705,plain,
% 9.34/6.78 (m_main_v_state(s195, c_busy) | node1(s194) | m_main_v_state(s195, c_ready)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30704, 4166, 30654])).
% 9.34/6.78 tff(30706,plain,
% 9.34/6.78 (node1(s194)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30705, 30646, 30698])).
% 9.34/6.78 tff(30707,plain,
% 9.34/6.78 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s194, c_ready) | (~node1(s194)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s194, c_ready) | (~node1(s194)))),
% 9.34/6.78 inference(rewrite,[status(thm)],[])).
% 9.34/6.78 tff(30708,plain,
% 9.34/6.78 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s194, c_ready) | (~node1(s194)))),
% 9.34/6.78 inference(quant_inst,[status(thm)],[])).
% 9.34/6.78 tff(30709,plain,
% 9.34/6.78 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s194, c_ready) | (~node1(s194))),
% 9.34/6.78 inference(modus_ponens,[status(thm)],[30708, 30707])).
% 9.34/6.78 tff(30710,plain,
% 9.34/6.78 (m_main_v_state(s194, c_ready)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30709, 4151, 30706])).
% 9.34/6.78 tff(30711,plain,
% 9.34/6.78 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s194) | (~node1(s194)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s194) | (~node1(s194)))),
% 9.34/6.78 inference(rewrite,[status(thm)],[])).
% 9.34/6.78 tff(30712,plain,
% 9.34/6.78 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s194) | (~node1(s194)))),
% 9.34/6.78 inference(quant_inst,[status(thm)],[])).
% 9.34/6.78 tff(30713,plain,
% 9.34/6.78 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s194) | (~node1(s194))),
% 9.34/6.78 inference(modus_ponens,[status(thm)],[30712, 30711])).
% 9.34/6.78 tff(30714,plain,
% 9.34/6.78 (m_main_v_request(s194)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30713, 14380, 30706])).
% 9.34/6.78 tff(30715,plain,
% 9.34/6.78 ($false),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30658, 30714, 30710, 30646])).
% 9.34/6.78 tff(30716,plain,(m_main_v_state(s195, c_busy) | m_main_v_state(s195, c_ready)), inference(lemma,lemma(discharge,[]))).
% 9.34/6.78 tff(30717,plain,
% 9.34/6.78 (m_main_v_state(s195, c_ready)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30716, 30626])).
% 9.34/6.78 tff(30718,plain,
% 9.34/6.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s195, s196)) | node2(s195, s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s195, s196)) | node2(s195, s196))),
% 9.34/6.78 inference(rewrite,[status(thm)],[])).
% 9.34/6.78 tff(30719,plain,
% 9.34/6.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s195, s196)) | node2(s195, s196))),
% 9.34/6.78 inference(quant_inst,[status(thm)],[])).
% 9.34/6.78 tff(30720,plain,
% 9.34/6.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s195, s196)) | node2(s195, s196)),
% 9.34/6.78 inference(modus_ponens,[status(thm)],[30719, 30718])).
% 9.34/6.78 tff(30721,plain,
% 9.34/6.78 (node2(s195, s196)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30720, 7, 6908])).
% 9.34/6.78 tff(30722,plain,
% 9.34/6.78 (((~![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(s195, c_ready)) | (~node2(s195, s196)) | m_main_v_state(s196, c_busy) | (~m_main_v_request(s195)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s195, c_ready)) | (~node2(s195, s196)) | m_main_v_state(s196, c_busy) | (~m_main_v_request(s195)))),
% 9.34/6.78 inference(rewrite,[status(thm)],[])).
% 9.34/6.78 tff(30723,plain,
% 9.34/6.78 ((~![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(s195, c_ready)) | (~node2(s195, s196)) | m_main_v_state(s196, c_busy) | (~m_main_v_request(s195)))),
% 9.34/6.78 inference(quant_inst,[status(thm)],[])).
% 9.34/6.78 tff(30724,plain,
% 9.34/6.78 ((~![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(s195, c_ready)) | (~node2(s195, s196)) | m_main_v_state(s196, c_busy) | (~m_main_v_request(s195))),
% 9.34/6.78 inference(modus_ponens,[status(thm)],[30723, 30722])).
% 9.34/6.78 tff(30725,plain,
% 9.34/6.78 ((~m_main_v_state(s195, c_ready)) | m_main_v_state(s196, c_busy) | (~m_main_v_request(s195))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30724, 191, 30721])).
% 9.34/6.78 tff(30726,plain,
% 9.34/6.78 (~m_main_v_request(s195)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30725, 30717, 30697])).
% 9.34/6.78 tff(30727,plain,
% 9.34/6.78 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s195) | (~node4(s195)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s195) | (~node4(s195)))),
% 9.34/6.78 inference(rewrite,[status(thm)],[])).
% 9.34/6.78 tff(30728,plain,
% 9.34/6.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s195) | (~node4(s195)))),
% 9.34/6.78 inference(quant_inst,[status(thm)],[])).
% 9.34/6.78 tff(30729,plain,
% 9.34/6.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s195) | (~node4(s195))),
% 9.34/6.78 inference(modus_ponens,[status(thm)],[30728, 30727])).
% 9.34/6.78 tff(30730,plain,
% 9.34/6.78 ($false),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30729, 154, 30726, 30689])).
% 9.34/6.78 tff(30731,plain,(xuntil6(s195) | (~until5(s193))), inference(lemma,lemma(discharge,[]))).
% 9.34/6.78 tff(30732,plain,
% 9.34/6.78 (xuntil6(s195)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30731, 30505])).
% 9.34/6.78 tff(30733,plain,
% 9.34/6.78 (until5(s196)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6903, 30732])).
% 9.34/6.78 tff(30734,assumption,(~xuntil6(s197)), introduced(assumption)).
% 9.34/6.78 tff(30735,assumption,(~always3(s197)), introduced(assumption)).
% 9.34/6.78 tff(30736,plain,
% 9.34/6.78 (~always3(s196)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6883, 30735])).
% 9.34/6.78 tff(30737,plain,
% 9.34/6.78 (~node4(s196)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6887, 22, 30736])).
% 9.34/6.78 tff(30738,plain,
% 9.34/6.78 (~node4(s197)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6858, 22, 30735])).
% 9.34/6.78 tff(30739,plain,
% 9.34/6.78 (node4(s197) | (~until5(s197))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6865, 36, 30734])).
% 9.34/6.78 tff(30740,plain,
% 9.34/6.78 (~until5(s197)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30739, 30738])).
% 9.34/6.78 tff(30741,plain,
% 9.34/6.78 (~xuntil6(s196)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6874, 30740])).
% 9.34/6.78 tff(30742,plain,
% 9.34/6.78 (~until5(s196)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6894, 36, 30741, 30737])).
% 9.34/6.78 tff(30743,plain,
% 9.34/6.78 (~xuntil6(s195)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6903, 30742])).
% 9.34/6.78 tff(30744,plain,
% 9.34/6.78 (~always3(s195)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6912, 30736])).
% 9.34/6.78 tff(30745,plain,
% 9.34/6.78 (~node4(s195)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6916, 22, 30744])).
% 9.34/6.78 tff(30746,plain,
% 9.34/6.78 (xuntil6(s195) | (~until5(s195))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6923, 36, 30745])).
% 9.34/6.78 tff(30747,plain,
% 9.34/6.78 (~until5(s195)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30746, 30743])).
% 9.34/6.78 tff(30748,plain,
% 9.34/6.78 (~xuntil6(s194)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6932, 30747])).
% 9.34/6.78 tff(30749,plain,
% 9.34/6.78 (~always3(s194)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6941, 30744])).
% 9.34/6.78 tff(30750,plain,
% 9.34/6.78 (~node4(s194)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6945, 22, 30749])).
% 9.34/6.78 tff(30751,plain,
% 9.34/6.78 (xuntil6(s194) | (~until5(s194))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6952, 36, 30750])).
% 9.34/6.78 tff(30752,plain,
% 9.34/6.78 (~until5(s194)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30751, 30748])).
% 9.34/6.78 tff(30753,plain,
% 9.34/6.78 (~xuntil6(s193)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6961, 30752])).
% 9.34/6.78 tff(30754,plain,
% 9.34/6.78 (~always3(s193)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6970, 30749])).
% 9.34/6.78 tff(30755,plain,
% 9.34/6.78 (~node4(s193)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6974, 22, 30754])).
% 9.34/6.78 tff(30756,plain,
% 9.34/6.78 (xuntil6(s193) | (~until5(s193))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6981, 36, 30755])).
% 9.34/6.78 tff(30757,plain,
% 9.34/6.78 (~until5(s193)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30756, 30753])).
% 9.34/6.78 tff(30758,plain,
% 9.34/6.78 (~xuntil6(s192)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6990, 30757])).
% 9.34/6.78 tff(30759,plain,
% 9.34/6.78 (~always3(s192)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6999, 30754])).
% 9.34/6.78 tff(30760,plain,
% 9.34/6.78 (~node4(s192)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7003, 22, 30759])).
% 9.34/6.78 tff(30761,plain,
% 9.34/6.78 (xuntil6(s192) | (~until5(s192))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7010, 36, 30760])).
% 9.34/6.78 tff(30762,plain,
% 9.34/6.78 (~until5(s192)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30761, 30758])).
% 9.34/6.78 tff(30763,plain,
% 9.34/6.78 (~xuntil6(s191)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7019, 30762])).
% 9.34/6.78 tff(30764,plain,
% 9.34/6.78 (~always3(s191)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7028, 30759])).
% 9.34/6.78 tff(30765,plain,
% 9.34/6.78 (~node4(s191)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7032, 22, 30764])).
% 9.34/6.78 tff(30766,plain,
% 9.34/6.78 (xuntil6(s191) | (~until5(s191))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7039, 36, 30765])).
% 9.34/6.78 tff(30767,plain,
% 9.34/6.78 (~until5(s191)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30766, 30763])).
% 9.34/6.78 tff(30768,plain,
% 9.34/6.78 (~xuntil6(s190)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7048, 30767])).
% 9.34/6.78 tff(30769,plain,
% 9.34/6.78 (~always3(s190)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7057, 30764])).
% 9.34/6.78 tff(30770,plain,
% 9.34/6.78 (~node4(s190)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7061, 22, 30769])).
% 9.34/6.78 tff(30771,plain,
% 9.34/6.78 (xuntil6(s190) | (~until5(s190))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7068, 36, 30770])).
% 9.34/6.78 tff(30772,plain,
% 9.34/6.78 (~until5(s190)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30771, 30768])).
% 9.34/6.78 tff(30773,plain,
% 9.34/6.78 (~xuntil6(s189)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7077, 30772])).
% 9.34/6.78 tff(30774,plain,
% 9.34/6.78 (~always3(s189)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7086, 30769])).
% 9.34/6.78 tff(30775,plain,
% 9.34/6.78 (~node4(s189)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7090, 22, 30774])).
% 9.34/6.78 tff(30776,plain,
% 9.34/6.78 (xuntil6(s189) | (~until5(s189))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7097, 36, 30775])).
% 9.34/6.78 tff(30777,plain,
% 9.34/6.78 (~until5(s189)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30776, 30773])).
% 9.34/6.78 tff(30778,plain,
% 9.34/6.78 (~xuntil6(s188)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7106, 30777])).
% 9.34/6.78 tff(30779,plain,
% 9.34/6.78 (~always3(s188)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7115, 30774])).
% 9.34/6.78 tff(30780,plain,
% 9.34/6.78 (~node4(s188)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7119, 22, 30779])).
% 9.34/6.78 tff(30781,plain,
% 9.34/6.78 (xuntil6(s188) | (~until5(s188))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7126, 36, 30780])).
% 9.34/6.78 tff(30782,plain,
% 9.34/6.78 (~until5(s188)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30781, 30778])).
% 9.34/6.78 tff(30783,plain,
% 9.34/6.78 (~xuntil6(s187)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7135, 30782])).
% 9.34/6.78 tff(30784,plain,
% 9.34/6.78 (~always3(s187)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7144, 30779])).
% 9.34/6.78 tff(30785,plain,
% 9.34/6.78 (~node4(s187)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7148, 22, 30784])).
% 9.34/6.78 tff(30786,plain,
% 9.34/6.78 (xuntil6(s187) | (~until5(s187))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7155, 36, 30785])).
% 9.34/6.78 tff(30787,plain,
% 9.34/6.78 (~until5(s187)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30786, 30783])).
% 9.34/6.78 tff(30788,plain,
% 9.34/6.78 (~xuntil6(s186)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7164, 30787])).
% 9.34/6.78 tff(30789,plain,
% 9.34/6.78 (~always3(s186)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7173, 30784])).
% 9.34/6.78 tff(30790,plain,
% 9.34/6.78 (~node4(s186)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7177, 22, 30789])).
% 9.34/6.78 tff(30791,plain,
% 9.34/6.78 (xuntil6(s186) | (~until5(s186))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7184, 36, 30790])).
% 9.34/6.78 tff(30792,plain,
% 9.34/6.78 (~until5(s186)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30791, 30788])).
% 9.34/6.78 tff(30793,plain,
% 9.34/6.78 (~always3(s185)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7202, 30789])).
% 9.34/6.78 tff(30794,plain,
% 9.34/6.78 (~always3(s184)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7231, 30793])).
% 9.34/6.78 tff(30795,plain,
% 9.34/6.78 (~always3(s183)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7260, 30794])).
% 9.34/6.78 tff(30796,plain,
% 9.34/6.78 (~always3(s182)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7289, 30795])).
% 9.34/6.78 tff(30797,plain,
% 9.34/6.78 (~always3(s181)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7318, 30796])).
% 9.34/6.78 tff(30798,plain,
% 9.34/6.78 (~always3(s180)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7347, 30797])).
% 9.34/6.78 tff(30799,plain,
% 9.34/6.78 (~always3(s179)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7376, 30798])).
% 9.34/6.78 tff(30800,plain,
% 9.34/6.78 (~always3(s178)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7405, 30799])).
% 9.34/6.78 tff(30801,plain,
% 9.34/6.78 (~always3(s177)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7434, 30800])).
% 9.34/6.78 tff(30802,plain,
% 9.34/6.78 (~always3(s176)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7463, 30801])).
% 9.34/6.78 tff(30803,plain,
% 9.34/6.78 (~always3(s175)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7492, 30802])).
% 9.34/6.78 tff(30804,plain,
% 9.34/6.78 (~node4(s175)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7496, 22, 30803])).
% 9.34/6.78 tff(30805,plain,
% 9.34/6.78 (~always3(s174)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7521, 30803])).
% 9.34/6.78 tff(30806,plain,
% 9.34/6.78 (~node4(s174)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7525, 22, 30805])).
% 9.34/6.78 tff(30807,plain,
% 9.34/6.78 (~always3(s173)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7550, 30805])).
% 9.34/6.78 tff(30808,plain,
% 9.34/6.78 (xuntil6(s173)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[29489, 30807])).
% 9.34/6.78 tff(30809,plain,
% 9.34/6.78 (until5(s174)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7541, 30808])).
% 9.34/6.78 tff(30810,plain,
% 9.34/6.78 (xuntil6(s174) | node4(s174)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7532, 36, 30809])).
% 9.34/6.78 tff(30811,plain,
% 9.34/6.78 (xuntil6(s174)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30810, 30806])).
% 9.34/6.78 tff(30812,plain,
% 9.34/6.78 (until5(s175)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7512, 30811])).
% 9.34/6.78 tff(30813,plain,
% 9.34/6.78 (xuntil6(s175)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7503, 36, 30812, 30804])).
% 9.34/6.78 tff(30814,plain,
% 9.34/6.78 (until5(s176)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7483, 30813])).
% 9.34/6.78 tff(30815,plain,
% 9.34/6.78 (~node4(s176)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7467, 22, 30802])).
% 9.34/6.78 tff(30816,plain,
% 9.34/6.78 (xuntil6(s176) | (~until5(s176))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7474, 36, 30815])).
% 9.34/6.78 tff(30817,plain,
% 9.34/6.78 (xuntil6(s176)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30816, 30814])).
% 9.34/6.78 tff(30818,plain,
% 9.34/6.78 (until5(s177)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7454, 30817])).
% 9.34/6.78 tff(30819,plain,
% 9.34/6.78 (~node4(s177)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7438, 22, 30801])).
% 9.34/6.78 tff(30820,plain,
% 9.34/6.78 (xuntil6(s177) | (~until5(s177))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7445, 36, 30819])).
% 9.34/6.78 tff(30821,plain,
% 9.34/6.78 (xuntil6(s177)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30820, 30818])).
% 9.34/6.78 tff(30822,plain,
% 9.34/6.78 (until5(s178)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7425, 30821])).
% 9.34/6.78 tff(30823,plain,
% 9.34/6.78 (~node4(s178)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7409, 22, 30800])).
% 9.34/6.78 tff(30824,plain,
% 9.34/6.78 (xuntil6(s178) | (~until5(s178))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7416, 36, 30823])).
% 9.34/6.78 tff(30825,plain,
% 9.34/6.78 (xuntil6(s178)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30824, 30822])).
% 9.34/6.78 tff(30826,plain,
% 9.34/6.78 (until5(s179)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7396, 30825])).
% 9.34/6.78 tff(30827,plain,
% 9.34/6.78 (~node4(s179)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7380, 22, 30799])).
% 9.34/6.78 tff(30828,plain,
% 9.34/6.78 (xuntil6(s179) | (~until5(s179))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7387, 36, 30827])).
% 9.34/6.78 tff(30829,plain,
% 9.34/6.78 (xuntil6(s179)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30828, 30826])).
% 9.34/6.78 tff(30830,plain,
% 9.34/6.78 (until5(s180)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7367, 30829])).
% 9.34/6.78 tff(30831,plain,
% 9.34/6.78 (~node4(s180)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7351, 22, 30798])).
% 9.34/6.78 tff(30832,plain,
% 9.34/6.78 (xuntil6(s180) | (~until5(s180))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7358, 36, 30831])).
% 9.34/6.78 tff(30833,plain,
% 9.34/6.78 (xuntil6(s180)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30832, 30830])).
% 9.34/6.78 tff(30834,plain,
% 9.34/6.78 (until5(s181)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7338, 30833])).
% 9.34/6.78 tff(30835,plain,
% 9.34/6.78 (~node4(s181)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7322, 22, 30797])).
% 9.34/6.78 tff(30836,plain,
% 9.34/6.78 (xuntil6(s181) | (~until5(s181))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7329, 36, 30835])).
% 9.34/6.78 tff(30837,plain,
% 9.34/6.78 (xuntil6(s181)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30836, 30834])).
% 9.34/6.78 tff(30838,plain,
% 9.34/6.78 (until5(s182)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7309, 30837])).
% 9.34/6.78 tff(30839,plain,
% 9.34/6.78 (~node4(s182)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7293, 22, 30796])).
% 9.34/6.78 tff(30840,plain,
% 9.34/6.78 (xuntil6(s182) | (~until5(s182))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7300, 36, 30839])).
% 9.34/6.78 tff(30841,plain,
% 9.34/6.78 (xuntil6(s182)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30840, 30838])).
% 9.34/6.78 tff(30842,plain,
% 9.34/6.78 (until5(s183)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7280, 30841])).
% 9.34/6.78 tff(30843,plain,
% 9.34/6.78 (~node4(s183)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7264, 22, 30795])).
% 9.34/6.78 tff(30844,plain,
% 9.34/6.78 (xuntil6(s183) | (~until5(s183))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7271, 36, 30843])).
% 9.34/6.78 tff(30845,plain,
% 9.34/6.78 (xuntil6(s183)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30844, 30842])).
% 9.34/6.78 tff(30846,plain,
% 9.34/6.78 (until5(s184)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7251, 30845])).
% 9.34/6.78 tff(30847,plain,
% 9.34/6.78 (~node4(s184)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7235, 22, 30794])).
% 9.34/6.78 tff(30848,plain,
% 9.34/6.78 (xuntil6(s184) | (~until5(s184))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7242, 36, 30847])).
% 9.34/6.78 tff(30849,plain,
% 9.34/6.78 (xuntil6(s184)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30848, 30846])).
% 9.34/6.78 tff(30850,plain,
% 9.34/6.78 (until5(s185)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7222, 30849])).
% 9.34/6.78 tff(30851,plain,
% 9.34/6.78 (~node4(s185)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7206, 22, 30793])).
% 9.34/6.78 tff(30852,plain,
% 9.34/6.78 (xuntil6(s185) | (~until5(s185))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7213, 36, 30851])).
% 9.34/6.78 tff(30853,plain,
% 9.34/6.78 (xuntil6(s185)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30852, 30850])).
% 9.34/6.78 tff(30854,plain,
% 9.34/6.78 ($false),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7193, 30853, 30792])).
% 9.34/6.78 tff(30855,plain,(always3(s197) | xuntil6(s197)), inference(lemma,lemma(discharge,[]))).
% 9.34/6.78 tff(30856,plain,
% 9.34/6.78 (always3(s197)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30855, 30734])).
% 9.34/6.78 tff(30857,plain,
% 9.34/6.78 (always3(s198)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6854, 30856])).
% 9.34/6.78 tff(30858,plain,
% 9.34/6.78 (((~![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)))),
% 9.34/6.78 inference(rewrite,[status(thm)],[])).
% 9.34/6.78 tff(30859,plain,
% 9.34/6.78 (((~m_main_v_state(s198, c_busy)) | (~always3(s198))) <=> ((~always3(s198)) | (~m_main_v_state(s198, c_busy)))),
% 9.34/6.78 inference(rewrite,[status(thm)],[])).
% 9.34/6.78 tff(30860,plain,
% 9.34/6.78 (((~![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))))),
% 9.34/6.78 inference(monotonicity,[status(thm)],[30859])).
% 9.34/6.78 tff(30861,plain,
% 9.34/6.78 (((~![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)))),
% 9.34/6.78 inference(transitivity,[status(thm)],[30860, 30858])).
% 9.34/6.78 tff(30862,plain,
% 9.34/6.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s198, c_busy)) | (~always3(s198)))),
% 9.34/6.78 inference(quant_inst,[status(thm)],[])).
% 9.34/6.78 tff(30863,plain,
% 9.34/6.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s198)) | (~m_main_v_state(s198, c_busy))),
% 9.34/6.78 inference(modus_ponens,[status(thm)],[30862, 30861])).
% 9.34/6.78 tff(30864,plain,
% 9.34/6.78 (~m_main_v_state(s198, c_busy)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30863, 170, 30857])).
% 9.34/6.78 tff(30865,plain,
% 9.34/6.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s197)) | (~m_main_v_state(s197, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s197)) | (~m_main_v_state(s197, c_busy)))),
% 9.34/6.78 inference(rewrite,[status(thm)],[])).
% 9.34/6.78 tff(30866,plain,
% 9.34/6.78 (((~m_main_v_state(s197, c_busy)) | (~always3(s197))) <=> ((~always3(s197)) | (~m_main_v_state(s197, c_busy)))),
% 9.34/6.78 inference(rewrite,[status(thm)],[])).
% 9.34/6.78 tff(30867,plain,
% 9.34/6.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s197, c_busy)) | (~always3(s197)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s197)) | (~m_main_v_state(s197, c_busy))))),
% 9.34/6.78 inference(monotonicity,[status(thm)],[30866])).
% 9.34/6.78 tff(30868,plain,
% 9.34/6.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s197, c_busy)) | (~always3(s197)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s197)) | (~m_main_v_state(s197, c_busy)))),
% 9.34/6.78 inference(transitivity,[status(thm)],[30867, 30865])).
% 9.34/6.78 tff(30869,plain,
% 9.34/6.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s197, c_busy)) | (~always3(s197)))),
% 9.34/6.78 inference(quant_inst,[status(thm)],[])).
% 9.34/6.78 tff(30870,plain,
% 9.34/6.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s197)) | (~m_main_v_state(s197, c_busy))),
% 9.34/6.78 inference(modus_ponens,[status(thm)],[30869, 30868])).
% 9.34/6.78 tff(30871,plain,
% 9.34/6.78 (~m_main_v_state(s197, c_busy)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30870, 170, 30856])).
% 9.34/6.78 tff(30872,plain,
% 9.34/6.78 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s197, c_busy) | m_main_v_state(s197, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s197, c_busy) | m_main_v_state(s197, c_ready))),
% 9.34/6.78 inference(rewrite,[status(thm)],[])).
% 9.34/6.78 tff(30873,plain,
% 9.34/6.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s197, c_busy) | m_main_v_state(s197, c_ready))),
% 9.34/6.78 inference(quant_inst,[status(thm)],[])).
% 9.34/6.78 tff(30874,plain,
% 9.34/6.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s197, c_busy) | m_main_v_state(s197, c_ready)),
% 9.34/6.78 inference(modus_ponens,[status(thm)],[30873, 30872])).
% 9.34/6.78 tff(30875,plain,
% 9.34/6.78 (m_main_v_state(s197, c_ready)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30874, 213, 30871])).
% 9.34/6.78 tff(30876,assumption,(~m_main_v_state(s197, c_busy)), introduced(assumption)).
% 9.34/6.78 tff(30877,assumption,(node4(s196)), introduced(assumption)).
% 9.34/6.78 tff(30878,plain,
% 9.34/6.78 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s196) | (~node4(s196)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s196) | (~node4(s196)))),
% 9.34/6.78 inference(rewrite,[status(thm)],[])).
% 9.34/6.78 tff(30879,plain,
% 9.34/6.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s196) | (~node4(s196)))),
% 9.34/6.78 inference(quant_inst,[status(thm)],[])).
% 9.34/6.78 tff(30880,plain,
% 9.34/6.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s196) | (~node4(s196))),
% 9.34/6.78 inference(modus_ponens,[status(thm)],[30879, 30878])).
% 9.34/6.78 tff(30881,plain,
% 9.34/6.78 (m_main_v_request(s196)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30880, 154, 30877])).
% 9.34/6.78 tff(30882,plain,
% 9.34/6.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s196, s197)) | node2(s196, s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s196, s197)) | node2(s196, s197))),
% 9.34/6.78 inference(rewrite,[status(thm)],[])).
% 9.34/6.78 tff(30883,plain,
% 9.34/6.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s196, s197)) | node2(s196, s197))),
% 9.34/6.78 inference(quant_inst,[status(thm)],[])).
% 9.34/6.78 tff(30884,plain,
% 9.34/6.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s196, s197)) | node2(s196, s197)),
% 9.34/6.78 inference(modus_ponens,[status(thm)],[30883, 30882])).
% 9.34/6.78 tff(30885,plain,
% 9.34/6.78 (node2(s196, s197)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30884, 7, 6879])).
% 9.34/6.78 tff(30886,plain,
% 9.34/6.78 (((~![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(s196, c_ready)) | (~node2(s196, s197)) | m_main_v_state(s197, c_busy) | (~m_main_v_request(s196)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s196, c_ready)) | (~node2(s196, s197)) | m_main_v_state(s197, c_busy) | (~m_main_v_request(s196)))),
% 9.34/6.78 inference(rewrite,[status(thm)],[])).
% 9.34/6.78 tff(30887,plain,
% 9.34/6.78 ((~![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(s196, c_ready)) | (~node2(s196, s197)) | m_main_v_state(s197, c_busy) | (~m_main_v_request(s196)))),
% 9.34/6.78 inference(quant_inst,[status(thm)],[])).
% 9.34/6.78 tff(30888,plain,
% 9.34/6.78 ((~![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(s196, c_ready)) | (~node2(s196, s197)) | m_main_v_state(s197, c_busy) | (~m_main_v_request(s196))),
% 9.34/6.78 inference(modus_ponens,[status(thm)],[30887, 30886])).
% 9.34/6.78 tff(30889,plain,
% 9.34/6.78 ((~m_main_v_state(s196, c_ready)) | m_main_v_state(s197, c_busy) | (~m_main_v_request(s196))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30888, 191, 30885])).
% 9.34/6.78 tff(30890,plain,
% 9.34/6.78 (~m_main_v_state(s196, c_ready)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30889, 30881, 30876])).
% 9.34/6.78 tff(30891,plain,
% 9.34/6.78 (always3(s196)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6887, 22, 30877])).
% 9.34/6.78 tff(30892,plain,
% 9.34/6.78 (~m_main_v_state(s196, c_busy)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30696, 170, 30891])).
% 9.34/6.78 tff(30893,plain,
% 9.34/6.78 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s196, c_busy) | m_main_v_state(s196, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s196, c_busy) | m_main_v_state(s196, c_ready))),
% 9.34/6.78 inference(rewrite,[status(thm)],[])).
% 9.34/6.78 tff(30894,plain,
% 9.34/6.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s196, c_busy) | m_main_v_state(s196, c_ready))),
% 9.34/6.78 inference(quant_inst,[status(thm)],[])).
% 9.34/6.78 tff(30895,plain,
% 9.34/6.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s196, c_busy) | m_main_v_state(s196, c_ready)),
% 9.34/6.78 inference(modus_ponens,[status(thm)],[30894, 30893])).
% 9.34/6.78 tff(30896,plain,
% 9.34/6.78 ($false),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30895, 213, 30892, 30890])).
% 9.34/6.78 tff(30897,plain,((~node4(s196)) | m_main_v_state(s197, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.34/6.78 tff(30898,plain,
% 9.34/6.78 (~node4(s196)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30897, 30871])).
% 9.34/6.78 tff(30899,assumption,(until5(s196)), introduced(assumption)).
% 9.34/6.78 tff(30900,plain,
% 9.34/6.78 (xuntil6(s196) | node4(s196)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6894, 36, 30899])).
% 9.34/6.78 tff(30901,plain,
% 9.34/6.78 (xuntil6(s196)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30900, 30898])).
% 9.34/6.78 tff(30902,plain,
% 9.34/6.78 (until5(s197)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6874, 30901])).
% 9.34/6.78 tff(30903,plain,
% 9.34/6.78 (node4(s197)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30739, 30902])).
% 9.34/6.78 tff(30904,plain,
% 9.34/6.78 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s197) | (~node4(s197)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s197) | (~node4(s197)))),
% 9.34/6.78 inference(rewrite,[status(thm)],[])).
% 9.34/6.78 tff(30905,plain,
% 9.34/6.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s197) | (~node4(s197)))),
% 9.34/6.78 inference(quant_inst,[status(thm)],[])).
% 9.34/6.78 tff(30906,plain,
% 9.34/6.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s197) | (~node4(s197))),
% 9.34/6.78 inference(modus_ponens,[status(thm)],[30905, 30904])).
% 9.34/6.78 tff(30907,plain,
% 9.34/6.78 (m_main_v_request(s197)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30906, 154, 30903])).
% 9.34/6.78 tff(30908,plain,
% 9.34/6.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s197, s198)) | node2(s197, s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s197, s198)) | node2(s197, s198))),
% 9.34/6.78 inference(rewrite,[status(thm)],[])).
% 9.34/6.78 tff(30909,plain,
% 9.34/6.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s197, s198)) | node2(s197, s198))),
% 9.34/6.78 inference(quant_inst,[status(thm)],[])).
% 9.34/6.78 tff(30910,plain,
% 9.34/6.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s197, s198)) | node2(s197, s198)),
% 9.34/6.78 inference(modus_ponens,[status(thm)],[30909, 30908])).
% 9.34/6.78 tff(30911,plain,
% 9.34/6.78 (node2(s197, s198)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30910, 7, 6850])).
% 9.34/6.78 tff(30912,plain,
% 9.34/6.78 (((~![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(s197, c_ready)) | (~node2(s197, s198)) | m_main_v_state(s198, c_busy) | (~m_main_v_request(s197)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s197, c_ready)) | (~node2(s197, s198)) | m_main_v_state(s198, c_busy) | (~m_main_v_request(s197)))),
% 9.34/6.78 inference(rewrite,[status(thm)],[])).
% 9.34/6.78 tff(30913,plain,
% 9.34/6.78 ((~![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(s197, c_ready)) | (~node2(s197, s198)) | m_main_v_state(s198, c_busy) | (~m_main_v_request(s197)))),
% 9.34/6.78 inference(quant_inst,[status(thm)],[])).
% 9.34/6.78 tff(30914,plain,
% 9.34/6.78 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s197, c_ready)) | (~node2(s197, s198)) | m_main_v_state(s198, c_busy) | (~m_main_v_request(s197))),
% 9.34/6.78 inference(modus_ponens,[status(thm)],[30913, 30912])).
% 9.34/6.78 tff(30915,plain,
% 9.34/6.78 ((~m_main_v_state(s197, c_ready)) | m_main_v_state(s198, c_busy) | (~m_main_v_request(s197))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30914, 191, 30911])).
% 9.34/6.78 tff(30916,plain,
% 9.34/6.78 ($false),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30915, 30907, 30875, 30864])).
% 9.34/6.78 tff(30917,plain,(xuntil6(s197) | (~until5(s196))), inference(lemma,lemma(discharge,[]))).
% 9.34/6.78 tff(30918,plain,
% 9.34/6.78 (xuntil6(s197)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30917, 30733])).
% 9.34/6.78 tff(30919,plain,
% 9.34/6.78 (until5(s198)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6845, 30918])).
% 9.34/6.78 tff(30920,assumption,(~xuntil6(s202)), introduced(assumption)).
% 9.34/6.78 tff(30921,assumption,(~always3(s202)), introduced(assumption)).
% 9.34/6.78 tff(30922,plain,
% 9.34/6.78 (~always3(s201)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6738, 30921])).
% 9.34/6.78 tff(30923,plain,
% 9.34/6.78 (~node4(s201)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6742, 22, 30922])).
% 9.34/6.78 tff(30924,plain,
% 9.34/6.78 (~node4(s202)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6713, 22, 30921])).
% 9.34/6.78 tff(30925,plain,
% 9.34/6.78 (node4(s202) | (~until5(s202))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6720, 36, 30920])).
% 9.34/6.78 tff(30926,plain,
% 9.34/6.78 (~until5(s202)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30925, 30924])).
% 9.34/6.78 tff(30927,plain,
% 9.34/6.78 (~xuntil6(s201)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6729, 30926])).
% 9.34/6.78 tff(30928,plain,
% 9.34/6.78 (~until5(s201)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6749, 36, 30927, 30923])).
% 9.34/6.78 tff(30929,plain,
% 9.34/6.78 (~xuntil6(s200)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6758, 30928])).
% 9.34/6.78 tff(30930,plain,
% 9.34/6.78 (~always3(s200)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6767, 30922])).
% 9.34/6.78 tff(30931,plain,
% 9.34/6.78 (~node4(s200)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6771, 22, 30930])).
% 9.34/6.78 tff(30932,plain,
% 9.34/6.78 (xuntil6(s200) | (~until5(s200))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6778, 36, 30931])).
% 9.34/6.78 tff(30933,plain,
% 9.34/6.78 (~until5(s200)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30932, 30929])).
% 9.34/6.78 tff(30934,plain,
% 9.34/6.78 (~xuntil6(s199)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6787, 30933])).
% 9.34/6.78 tff(30935,plain,
% 9.34/6.78 (~always3(s199)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6796, 30930])).
% 9.34/6.78 tff(30936,plain,
% 9.34/6.78 (~node4(s199)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6800, 22, 30935])).
% 9.34/6.78 tff(30937,plain,
% 9.34/6.78 (xuntil6(s199) | (~until5(s199))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6807, 36, 30936])).
% 9.34/6.78 tff(30938,plain,
% 9.34/6.78 (~until5(s199)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30937, 30934])).
% 9.34/6.78 tff(30939,plain,
% 9.34/6.78 (~xuntil6(s198)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6816, 30938])).
% 9.34/6.78 tff(30940,plain,
% 9.34/6.78 (~always3(s198)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6825, 30935])).
% 9.34/6.78 tff(30941,plain,
% 9.34/6.78 (~node4(s198)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6829, 22, 30940])).
% 9.34/6.78 tff(30942,plain,
% 9.34/6.78 (xuntil6(s198) | (~until5(s198))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6836, 36, 30941])).
% 9.34/6.78 tff(30943,plain,
% 9.34/6.78 (~until5(s198)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30942, 30939])).
% 9.34/6.78 tff(30944,plain,
% 9.34/6.78 (~xuntil6(s197)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6845, 30943])).
% 9.34/6.78 tff(30945,plain,
% 9.34/6.78 (~always3(s197)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6854, 30940])).
% 9.34/6.78 tff(30946,plain,
% 9.34/6.78 (~node4(s197)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6858, 22, 30945])).
% 9.34/6.78 tff(30947,plain,
% 9.34/6.78 (xuntil6(s197) | (~until5(s197))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6865, 36, 30946])).
% 9.34/6.78 tff(30948,plain,
% 9.34/6.78 (~until5(s197)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30947, 30944])).
% 9.34/6.78 tff(30949,plain,
% 9.34/6.78 (~xuntil6(s196)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6874, 30948])).
% 9.34/6.78 tff(30950,plain,
% 9.34/6.78 (~always3(s196)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6883, 30945])).
% 9.34/6.78 tff(30951,plain,
% 9.34/6.78 (~node4(s196)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6887, 22, 30950])).
% 9.34/6.78 tff(30952,plain,
% 9.34/6.78 (xuntil6(s196) | (~until5(s196))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6894, 36, 30951])).
% 9.34/6.78 tff(30953,plain,
% 9.34/6.78 (~until5(s196)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30952, 30949])).
% 9.34/6.78 tff(30954,plain,
% 9.34/6.78 (~xuntil6(s195)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6903, 30953])).
% 9.34/6.78 tff(30955,plain,
% 9.34/6.78 (~always3(s195)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6912, 30950])).
% 9.34/6.78 tff(30956,plain,
% 9.34/6.78 (~node4(s195)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6916, 22, 30955])).
% 9.34/6.78 tff(30957,plain,
% 9.34/6.78 (xuntil6(s195) | (~until5(s195))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6923, 36, 30956])).
% 9.34/6.78 tff(30958,plain,
% 9.34/6.78 (~until5(s195)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30957, 30954])).
% 9.34/6.78 tff(30959,plain,
% 9.34/6.78 (~xuntil6(s194)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6932, 30958])).
% 9.34/6.78 tff(30960,plain,
% 9.34/6.78 (~always3(s194)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6941, 30955])).
% 9.34/6.78 tff(30961,plain,
% 9.34/6.78 (~node4(s194)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6945, 22, 30960])).
% 9.34/6.78 tff(30962,plain,
% 9.34/6.78 (xuntil6(s194) | (~until5(s194))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6952, 36, 30961])).
% 9.34/6.78 tff(30963,plain,
% 9.34/6.78 (~until5(s194)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30962, 30959])).
% 9.34/6.78 tff(30964,plain,
% 9.34/6.78 (~xuntil6(s193)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6961, 30963])).
% 9.34/6.78 tff(30965,plain,
% 9.34/6.78 (~always3(s193)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6970, 30960])).
% 9.34/6.78 tff(30966,plain,
% 9.34/6.78 (~node4(s193)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6974, 22, 30965])).
% 9.34/6.78 tff(30967,plain,
% 9.34/6.78 (xuntil6(s193) | (~until5(s193))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6981, 36, 30966])).
% 9.34/6.78 tff(30968,plain,
% 9.34/6.78 (~until5(s193)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30967, 30964])).
% 9.34/6.78 tff(30969,plain,
% 9.34/6.78 (~xuntil6(s192)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6990, 30968])).
% 9.34/6.78 tff(30970,plain,
% 9.34/6.78 (~always3(s192)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[6999, 30965])).
% 9.34/6.78 tff(30971,plain,
% 9.34/6.78 (~node4(s192)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7003, 22, 30970])).
% 9.34/6.78 tff(30972,plain,
% 9.34/6.78 (xuntil6(s192) | (~until5(s192))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7010, 36, 30971])).
% 9.34/6.78 tff(30973,plain,
% 9.34/6.78 (~until5(s192)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30972, 30969])).
% 9.34/6.78 tff(30974,plain,
% 9.34/6.78 (~xuntil6(s191)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7019, 30973])).
% 9.34/6.78 tff(30975,plain,
% 9.34/6.78 (~always3(s191)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7028, 30970])).
% 9.34/6.78 tff(30976,plain,
% 9.34/6.78 (~node4(s191)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7032, 22, 30975])).
% 9.34/6.78 tff(30977,plain,
% 9.34/6.78 (xuntil6(s191) | (~until5(s191))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7039, 36, 30976])).
% 9.34/6.78 tff(30978,plain,
% 9.34/6.78 (~until5(s191)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30977, 30974])).
% 9.34/6.78 tff(30979,plain,
% 9.34/6.78 (~xuntil6(s190)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7048, 30978])).
% 9.34/6.78 tff(30980,plain,
% 9.34/6.78 (~always3(s190)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7057, 30975])).
% 9.34/6.78 tff(30981,plain,
% 9.34/6.78 (~node4(s190)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7061, 22, 30980])).
% 9.34/6.78 tff(30982,plain,
% 9.34/6.78 (xuntil6(s190) | (~until5(s190))),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[7068, 36, 30981])).
% 9.34/6.78 tff(30983,plain,
% 9.34/6.78 (~until5(s190)),
% 9.34/6.78 inference(unit_resolution,[status(thm)],[30982, 30979])).
% 9.34/6.78 tff(30984,plain,
% 9.34/6.78 (~xuntil6(s189)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7077, 30983])).
% 9.34/6.79 tff(30985,plain,
% 9.34/6.79 (~always3(s189)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7086, 30980])).
% 9.34/6.79 tff(30986,plain,
% 9.34/6.79 (~node4(s189)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7090, 22, 30985])).
% 9.34/6.79 tff(30987,plain,
% 9.34/6.79 (xuntil6(s189) | (~until5(s189))),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7097, 36, 30986])).
% 9.34/6.79 tff(30988,plain,
% 9.34/6.79 (~until5(s189)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[30987, 30984])).
% 9.34/6.79 tff(30989,plain,
% 9.34/6.79 (~xuntil6(s188)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7106, 30988])).
% 9.34/6.79 tff(30990,plain,
% 9.34/6.79 (~always3(s188)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7115, 30985])).
% 9.34/6.79 tff(30991,plain,
% 9.34/6.79 (~always3(s187)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7144, 30990])).
% 9.34/6.79 tff(30992,plain,
% 9.34/6.79 (~always3(s186)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7173, 30991])).
% 9.34/6.79 tff(30993,plain,
% 9.34/6.79 (~always3(s185)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7202, 30992])).
% 9.34/6.79 tff(30994,plain,
% 9.34/6.79 (~always3(s184)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7231, 30993])).
% 9.34/6.79 tff(30995,plain,
% 9.34/6.79 (~always3(s183)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7260, 30994])).
% 9.34/6.79 tff(30996,plain,
% 9.34/6.79 (~always3(s182)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7289, 30995])).
% 9.34/6.79 tff(30997,plain,
% 9.34/6.79 (~always3(s181)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7318, 30996])).
% 9.34/6.79 tff(30998,plain,
% 9.34/6.79 (~always3(s180)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7347, 30997])).
% 9.34/6.79 tff(30999,plain,
% 9.34/6.79 (~always3(s179)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7376, 30998])).
% 9.34/6.79 tff(31000,plain,
% 9.34/6.79 (~always3(s178)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7405, 30999])).
% 9.34/6.79 tff(31001,plain,
% 9.34/6.79 (~always3(s177)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7434, 31000])).
% 9.34/6.79 tff(31002,plain,
% 9.34/6.79 (~always3(s176)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7463, 31001])).
% 9.34/6.79 tff(31003,plain,
% 9.34/6.79 (~always3(s175)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7492, 31002])).
% 9.34/6.79 tff(31004,plain,
% 9.34/6.79 (~node4(s175)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7496, 22, 31003])).
% 9.34/6.79 tff(31005,plain,
% 9.34/6.79 (~always3(s174)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7521, 31003])).
% 9.34/6.79 tff(31006,plain,
% 9.34/6.79 (~node4(s174)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7525, 22, 31005])).
% 9.34/6.79 tff(31007,plain,
% 9.34/6.79 (~always3(s173)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7550, 31005])).
% 9.34/6.79 tff(31008,plain,
% 9.34/6.79 (xuntil6(s173)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[29489, 31007])).
% 9.34/6.79 tff(31009,plain,
% 9.34/6.79 (until5(s174)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7541, 31008])).
% 9.34/6.79 tff(31010,plain,
% 9.34/6.79 (xuntil6(s174) | node4(s174)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7532, 36, 31009])).
% 9.34/6.79 tff(31011,plain,
% 9.34/6.79 (xuntil6(s174)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31010, 31006])).
% 9.34/6.79 tff(31012,plain,
% 9.34/6.79 (until5(s175)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7512, 31011])).
% 9.34/6.79 tff(31013,plain,
% 9.34/6.79 (xuntil6(s175)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7503, 36, 31012, 31004])).
% 9.34/6.79 tff(31014,plain,
% 9.34/6.79 (until5(s176)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7483, 31013])).
% 9.34/6.79 tff(31015,plain,
% 9.34/6.79 (~node4(s176)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7467, 22, 31002])).
% 9.34/6.79 tff(31016,plain,
% 9.34/6.79 (xuntil6(s176) | (~until5(s176))),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7474, 36, 31015])).
% 9.34/6.79 tff(31017,plain,
% 9.34/6.79 (xuntil6(s176)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31016, 31014])).
% 9.34/6.79 tff(31018,plain,
% 9.34/6.79 (until5(s177)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7454, 31017])).
% 9.34/6.79 tff(31019,plain,
% 9.34/6.79 (~node4(s177)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7438, 22, 31001])).
% 9.34/6.79 tff(31020,plain,
% 9.34/6.79 (xuntil6(s177) | (~until5(s177))),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7445, 36, 31019])).
% 9.34/6.79 tff(31021,plain,
% 9.34/6.79 (xuntil6(s177)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31020, 31018])).
% 9.34/6.79 tff(31022,plain,
% 9.34/6.79 (until5(s178)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7425, 31021])).
% 9.34/6.79 tff(31023,plain,
% 9.34/6.79 (~node4(s178)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7409, 22, 31000])).
% 9.34/6.79 tff(31024,plain,
% 9.34/6.79 (xuntil6(s178) | (~until5(s178))),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7416, 36, 31023])).
% 9.34/6.79 tff(31025,plain,
% 9.34/6.79 (xuntil6(s178)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31024, 31022])).
% 9.34/6.79 tff(31026,plain,
% 9.34/6.79 (until5(s179)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7396, 31025])).
% 9.34/6.79 tff(31027,plain,
% 9.34/6.79 (~node4(s179)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7380, 22, 30999])).
% 9.34/6.79 tff(31028,plain,
% 9.34/6.79 (xuntil6(s179) | (~until5(s179))),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7387, 36, 31027])).
% 9.34/6.79 tff(31029,plain,
% 9.34/6.79 (xuntil6(s179)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31028, 31026])).
% 9.34/6.79 tff(31030,plain,
% 9.34/6.79 (until5(s180)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7367, 31029])).
% 9.34/6.79 tff(31031,plain,
% 9.34/6.79 (~node4(s180)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7351, 22, 30998])).
% 9.34/6.79 tff(31032,plain,
% 9.34/6.79 (xuntil6(s180) | (~until5(s180))),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7358, 36, 31031])).
% 9.34/6.79 tff(31033,plain,
% 9.34/6.79 (xuntil6(s180)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31032, 31030])).
% 9.34/6.79 tff(31034,plain,
% 9.34/6.79 (until5(s181)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7338, 31033])).
% 9.34/6.79 tff(31035,plain,
% 9.34/6.79 (~node4(s181)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7322, 22, 30997])).
% 9.34/6.79 tff(31036,plain,
% 9.34/6.79 (xuntil6(s181) | (~until5(s181))),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7329, 36, 31035])).
% 9.34/6.79 tff(31037,plain,
% 9.34/6.79 (xuntil6(s181)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31036, 31034])).
% 9.34/6.79 tff(31038,plain,
% 9.34/6.79 (until5(s182)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7309, 31037])).
% 9.34/6.79 tff(31039,plain,
% 9.34/6.79 (~node4(s182)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7293, 22, 30996])).
% 9.34/6.79 tff(31040,plain,
% 9.34/6.79 (xuntil6(s182) | (~until5(s182))),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7300, 36, 31039])).
% 9.34/6.79 tff(31041,plain,
% 9.34/6.79 (xuntil6(s182)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31040, 31038])).
% 9.34/6.79 tff(31042,plain,
% 9.34/6.79 (until5(s183)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7280, 31041])).
% 9.34/6.79 tff(31043,plain,
% 9.34/6.79 (~node4(s183)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7264, 22, 30995])).
% 9.34/6.79 tff(31044,plain,
% 9.34/6.79 (xuntil6(s183) | (~until5(s183))),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7271, 36, 31043])).
% 9.34/6.79 tff(31045,plain,
% 9.34/6.79 (xuntil6(s183)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31044, 31042])).
% 9.34/6.79 tff(31046,plain,
% 9.34/6.79 (until5(s184)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7251, 31045])).
% 9.34/6.79 tff(31047,plain,
% 9.34/6.79 (~node4(s184)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7235, 22, 30994])).
% 9.34/6.79 tff(31048,plain,
% 9.34/6.79 (xuntil6(s184) | (~until5(s184))),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7242, 36, 31047])).
% 9.34/6.79 tff(31049,plain,
% 9.34/6.79 (xuntil6(s184)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31048, 31046])).
% 9.34/6.79 tff(31050,plain,
% 9.34/6.79 (until5(s185)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7222, 31049])).
% 9.34/6.79 tff(31051,plain,
% 9.34/6.79 (~node4(s185)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7206, 22, 30993])).
% 9.34/6.79 tff(31052,plain,
% 9.34/6.79 (xuntil6(s185) | (~until5(s185))),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7213, 36, 31051])).
% 9.34/6.79 tff(31053,plain,
% 9.34/6.79 (xuntil6(s185)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31052, 31050])).
% 9.34/6.79 tff(31054,plain,
% 9.34/6.79 (until5(s186)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7193, 31053])).
% 9.34/6.79 tff(31055,plain,
% 9.34/6.79 (~node4(s186)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7177, 22, 30992])).
% 9.34/6.79 tff(31056,plain,
% 9.34/6.79 (xuntil6(s186) | (~until5(s186))),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7184, 36, 31055])).
% 9.34/6.79 tff(31057,plain,
% 9.34/6.79 (xuntil6(s186)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31056, 31054])).
% 9.34/6.79 tff(31058,plain,
% 9.34/6.79 (until5(s187)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7164, 31057])).
% 9.34/6.79 tff(31059,plain,
% 9.34/6.79 (~node4(s187)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7148, 22, 30991])).
% 9.34/6.79 tff(31060,plain,
% 9.34/6.79 (xuntil6(s187) | (~until5(s187))),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7155, 36, 31059])).
% 9.34/6.79 tff(31061,plain,
% 9.34/6.79 (xuntil6(s187)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31060, 31058])).
% 9.34/6.79 tff(31062,plain,
% 9.34/6.79 (until5(s188)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7135, 31061])).
% 9.34/6.79 tff(31063,plain,
% 9.34/6.79 (~node4(s188)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7119, 22, 30990])).
% 9.34/6.79 tff(31064,plain,
% 9.34/6.79 (xuntil6(s188) | (~until5(s188))),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[7126, 36, 31063])).
% 9.34/6.79 tff(31065,plain,
% 9.34/6.79 ($false),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31064, 31062, 30989])).
% 9.34/6.79 tff(31066,plain,(always3(s202) | xuntil6(s202)), inference(lemma,lemma(discharge,[]))).
% 9.34/6.79 tff(31067,plain,
% 9.34/6.79 (always3(s202)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31066, 30920])).
% 9.34/6.79 tff(31068,plain,
% 9.34/6.79 (always3(s203)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6709, 31067])).
% 9.34/6.79 tff(31069,plain,
% 9.34/6.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s203)) | (~m_main_v_state(s203, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s203)) | (~m_main_v_state(s203, c_busy)))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31070,plain,
% 9.34/6.79 (((~m_main_v_state(s203, c_busy)) | (~always3(s203))) <=> ((~always3(s203)) | (~m_main_v_state(s203, c_busy)))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31071,plain,
% 9.34/6.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s203, c_busy)) | (~always3(s203)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s203)) | (~m_main_v_state(s203, c_busy))))),
% 9.34/6.79 inference(monotonicity,[status(thm)],[31070])).
% 9.34/6.79 tff(31072,plain,
% 9.34/6.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s203, c_busy)) | (~always3(s203)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s203)) | (~m_main_v_state(s203, c_busy)))),
% 9.34/6.79 inference(transitivity,[status(thm)],[31071, 31069])).
% 9.34/6.79 tff(31073,plain,
% 9.34/6.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s203, c_busy)) | (~always3(s203)))),
% 9.34/6.79 inference(quant_inst,[status(thm)],[])).
% 9.34/6.79 tff(31074,plain,
% 9.34/6.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s203)) | (~m_main_v_state(s203, c_busy))),
% 9.34/6.79 inference(modus_ponens,[status(thm)],[31073, 31072])).
% 9.34/6.79 tff(31075,plain,
% 9.34/6.79 (~m_main_v_state(s203, c_busy)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31074, 170, 31068])).
% 9.34/6.79 tff(31076,plain,
% 9.34/6.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s202)) | (~m_main_v_state(s202, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s202)) | (~m_main_v_state(s202, c_busy)))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31077,plain,
% 9.34/6.79 (((~m_main_v_state(s202, c_busy)) | (~always3(s202))) <=> ((~always3(s202)) | (~m_main_v_state(s202, c_busy)))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31078,plain,
% 9.34/6.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s202, c_busy)) | (~always3(s202)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s202)) | (~m_main_v_state(s202, c_busy))))),
% 9.34/6.79 inference(monotonicity,[status(thm)],[31077])).
% 9.34/6.79 tff(31079,plain,
% 9.34/6.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s202, c_busy)) | (~always3(s202)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s202)) | (~m_main_v_state(s202, c_busy)))),
% 9.34/6.79 inference(transitivity,[status(thm)],[31078, 31076])).
% 9.34/6.79 tff(31080,plain,
% 9.34/6.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s202, c_busy)) | (~always3(s202)))),
% 9.34/6.79 inference(quant_inst,[status(thm)],[])).
% 9.34/6.79 tff(31081,plain,
% 9.34/6.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s202)) | (~m_main_v_state(s202, c_busy))),
% 9.34/6.79 inference(modus_ponens,[status(thm)],[31080, 31079])).
% 9.34/6.79 tff(31082,plain,
% 9.34/6.79 (~m_main_v_state(s202, c_busy)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31081, 170, 31067])).
% 9.34/6.79 tff(31083,plain,
% 9.34/6.79 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s202, c_busy) | m_main_v_state(s202, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s202, c_busy) | m_main_v_state(s202, c_ready))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31084,plain,
% 9.34/6.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s202, c_busy) | m_main_v_state(s202, c_ready))),
% 9.34/6.79 inference(quant_inst,[status(thm)],[])).
% 9.34/6.79 tff(31085,plain,
% 9.34/6.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s202, c_busy) | m_main_v_state(s202, c_ready)),
% 9.34/6.79 inference(modus_ponens,[status(thm)],[31084, 31083])).
% 9.34/6.79 tff(31086,plain,
% 9.34/6.79 (m_main_v_state(s202, c_ready)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31085, 213, 31082])).
% 9.34/6.79 tff(31087,assumption,(until5(s198)), introduced(assumption)).
% 9.34/6.79 tff(31088,assumption,(~xuntil6(s201)), introduced(assumption)).
% 9.34/6.79 tff(31089,assumption,(~always3(s201)), introduced(assumption)).
% 9.34/6.79 tff(31090,plain,
% 9.34/6.79 (~always3(s200)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6767, 31089])).
% 9.34/6.79 tff(31091,plain,
% 9.34/6.79 (~always3(s199)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6796, 31090])).
% 9.34/6.79 tff(31092,plain,
% 9.34/6.79 (~node4(s199)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6800, 22, 31091])).
% 9.34/6.79 tff(31093,plain,
% 9.34/6.79 (~always3(s198)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6825, 31091])).
% 9.34/6.79 tff(31094,plain,
% 9.34/6.79 (~node4(s198)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6829, 22, 31093])).
% 9.34/6.79 tff(31095,plain,
% 9.34/6.79 (xuntil6(s198) | node4(s198)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6836, 36, 31087])).
% 9.34/6.79 tff(31096,plain,
% 9.34/6.79 (xuntil6(s198)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31095, 31094])).
% 9.34/6.79 tff(31097,plain,
% 9.34/6.79 (until5(s199)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6816, 31096])).
% 9.34/6.79 tff(31098,plain,
% 9.34/6.79 (xuntil6(s199)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6807, 36, 31097, 31092])).
% 9.34/6.79 tff(31099,plain,
% 9.34/6.79 (until5(s200)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6787, 31098])).
% 9.34/6.79 tff(31100,plain,
% 9.34/6.79 (~node4(s200)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6771, 22, 31090])).
% 9.34/6.79 tff(31101,plain,
% 9.34/6.79 (xuntil6(s200) | (~until5(s200))),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6778, 36, 31100])).
% 9.34/6.79 tff(31102,plain,
% 9.34/6.79 (xuntil6(s200)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31101, 31099])).
% 9.34/6.79 tff(31103,plain,
% 9.34/6.79 (until5(s201)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6758, 31102])).
% 9.34/6.79 tff(31104,plain,
% 9.34/6.79 (node4(s201) | (~until5(s201))),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6749, 36, 31088])).
% 9.34/6.79 tff(31105,plain,
% 9.34/6.79 (node4(s201)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31104, 31103])).
% 9.34/6.79 tff(31106,plain,
% 9.34/6.79 ($false),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6742, 22, 31089, 31105])).
% 9.34/6.79 tff(31107,plain,(always3(s201) | xuntil6(s201) | (~until5(s198))), inference(lemma,lemma(discharge,[]))).
% 9.34/6.79 tff(31108,plain,
% 9.34/6.79 (always3(s201)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31107, 31087, 31088])).
% 9.34/6.79 tff(31109,plain,
% 9.34/6.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s201)) | (~m_main_v_state(s201, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s201)) | (~m_main_v_state(s201, c_busy)))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31110,plain,
% 9.34/6.79 (((~m_main_v_state(s201, c_busy)) | (~always3(s201))) <=> ((~always3(s201)) | (~m_main_v_state(s201, c_busy)))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31111,plain,
% 9.34/6.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s201, c_busy)) | (~always3(s201)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s201)) | (~m_main_v_state(s201, c_busy))))),
% 9.34/6.79 inference(monotonicity,[status(thm)],[31110])).
% 9.34/6.79 tff(31112,plain,
% 9.34/6.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s201, c_busy)) | (~always3(s201)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s201)) | (~m_main_v_state(s201, c_busy)))),
% 9.34/6.79 inference(transitivity,[status(thm)],[31111, 31109])).
% 9.34/6.79 tff(31113,plain,
% 9.34/6.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s201, c_busy)) | (~always3(s201)))),
% 9.34/6.79 inference(quant_inst,[status(thm)],[])).
% 9.34/6.79 tff(31114,plain,
% 9.34/6.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s201)) | (~m_main_v_state(s201, c_busy))),
% 9.34/6.79 inference(modus_ponens,[status(thm)],[31113, 31112])).
% 9.34/6.79 tff(31115,plain,
% 9.34/6.79 (~m_main_v_state(s201, c_busy)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31114, 170, 31108])).
% 9.34/6.79 tff(31116,assumption,(~m_main_v_state(s201, c_busy)), introduced(assumption)).
% 9.34/6.79 tff(31117,assumption,(node4(s200)), introduced(assumption)).
% 9.34/6.79 tff(31118,plain,
% 9.34/6.79 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s200) | (~node4(s200)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s200) | (~node4(s200)))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31119,plain,
% 9.34/6.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s200) | (~node4(s200)))),
% 9.34/6.79 inference(quant_inst,[status(thm)],[])).
% 9.34/6.79 tff(31120,plain,
% 9.34/6.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s200) | (~node4(s200))),
% 9.34/6.79 inference(modus_ponens,[status(thm)],[31119, 31118])).
% 9.34/6.79 tff(31121,plain,
% 9.34/6.79 (m_main_v_request(s200)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31120, 154, 31117])).
% 9.34/6.79 tff(31122,plain,
% 9.34/6.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s200, s201)) | node2(s200, s201))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s200, s201)) | node2(s200, s201))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31123,plain,
% 9.34/6.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s200, s201)) | node2(s200, s201))),
% 9.34/6.79 inference(quant_inst,[status(thm)],[])).
% 9.34/6.79 tff(31124,plain,
% 9.34/6.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s200, s201)) | node2(s200, s201)),
% 9.34/6.79 inference(modus_ponens,[status(thm)],[31123, 31122])).
% 9.34/6.79 tff(31125,plain,
% 9.34/6.79 (node2(s200, s201)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31124, 7, 6763])).
% 9.34/6.79 tff(31126,plain,
% 9.34/6.79 (((~![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(s200, c_ready)) | (~node2(s200, s201)) | m_main_v_state(s201, c_busy) | (~m_main_v_request(s200)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s200, c_ready)) | (~node2(s200, s201)) | m_main_v_state(s201, c_busy) | (~m_main_v_request(s200)))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31127,plain,
% 9.34/6.79 ((~![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(s200, c_ready)) | (~node2(s200, s201)) | m_main_v_state(s201, c_busy) | (~m_main_v_request(s200)))),
% 9.34/6.79 inference(quant_inst,[status(thm)],[])).
% 9.34/6.79 tff(31128,plain,
% 9.34/6.79 ((~![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(s200, c_ready)) | (~node2(s200, s201)) | m_main_v_state(s201, c_busy) | (~m_main_v_request(s200))),
% 9.34/6.79 inference(modus_ponens,[status(thm)],[31127, 31126])).
% 9.34/6.79 tff(31129,plain,
% 9.34/6.79 ((~m_main_v_state(s200, c_ready)) | m_main_v_state(s201, c_busy) | (~m_main_v_request(s200))),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31128, 191, 31125])).
% 9.34/6.79 tff(31130,plain,
% 9.34/6.79 (~m_main_v_state(s200, c_ready)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31129, 31121, 31116])).
% 9.34/6.79 tff(31131,plain,
% 9.34/6.79 (always3(s200)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6771, 22, 31117])).
% 9.34/6.79 tff(31132,plain,
% 9.34/6.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s200)) | (~m_main_v_state(s200, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s200)) | (~m_main_v_state(s200, c_busy)))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31133,plain,
% 9.34/6.79 (((~m_main_v_state(s200, c_busy)) | (~always3(s200))) <=> ((~always3(s200)) | (~m_main_v_state(s200, c_busy)))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31134,plain,
% 9.34/6.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s200, c_busy)) | (~always3(s200)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s200)) | (~m_main_v_state(s200, c_busy))))),
% 9.34/6.79 inference(monotonicity,[status(thm)],[31133])).
% 9.34/6.79 tff(31135,plain,
% 9.34/6.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s200, c_busy)) | (~always3(s200)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s200)) | (~m_main_v_state(s200, c_busy)))),
% 9.34/6.79 inference(transitivity,[status(thm)],[31134, 31132])).
% 9.34/6.79 tff(31136,plain,
% 9.34/6.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s200, c_busy)) | (~always3(s200)))),
% 9.34/6.79 inference(quant_inst,[status(thm)],[])).
% 9.34/6.79 tff(31137,plain,
% 9.34/6.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s200)) | (~m_main_v_state(s200, c_busy))),
% 9.34/6.79 inference(modus_ponens,[status(thm)],[31136, 31135])).
% 9.34/6.79 tff(31138,plain,
% 9.34/6.79 (~m_main_v_state(s200, c_busy)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31137, 170, 31131])).
% 9.34/6.79 tff(31139,plain,
% 9.34/6.79 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s200, c_busy) | m_main_v_state(s200, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s200, c_busy) | m_main_v_state(s200, c_ready))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31140,plain,
% 9.34/6.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s200, c_busy) | m_main_v_state(s200, c_ready))),
% 9.34/6.79 inference(quant_inst,[status(thm)],[])).
% 9.34/6.79 tff(31141,plain,
% 9.34/6.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s200, c_busy) | m_main_v_state(s200, c_ready)),
% 9.34/6.79 inference(modus_ponens,[status(thm)],[31140, 31139])).
% 9.34/6.79 tff(31142,plain,
% 9.34/6.79 ($false),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31141, 213, 31138, 31130])).
% 9.34/6.79 tff(31143,plain,((~node4(s200)) | m_main_v_state(s201, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.34/6.79 tff(31144,plain,
% 9.34/6.79 (~node4(s200)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31143, 31115])).
% 9.34/6.79 tff(31145,assumption,(~m_main_v_state(s202, c_busy)), introduced(assumption)).
% 9.34/6.79 tff(31146,plain,
% 9.34/6.79 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s201, c_busy) | m_main_v_state(s201, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s201, c_busy) | m_main_v_state(s201, c_ready))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31147,plain,
% 9.34/6.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s201, c_busy) | m_main_v_state(s201, c_ready))),
% 9.34/6.79 inference(quant_inst,[status(thm)],[])).
% 9.34/6.79 tff(31148,plain,
% 9.34/6.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s201, c_busy) | m_main_v_state(s201, c_ready)),
% 9.34/6.79 inference(modus_ponens,[status(thm)],[31147, 31146])).
% 9.34/6.79 tff(31149,plain,
% 9.34/6.79 (m_main_v_state(s201, c_ready)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31148, 213, 31115])).
% 9.34/6.79 tff(31150,plain,
% 9.34/6.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s201, s202)) | node2(s201, s202))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s201, s202)) | node2(s201, s202))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31151,plain,
% 9.34/6.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s201, s202)) | node2(s201, s202))),
% 9.34/6.79 inference(quant_inst,[status(thm)],[])).
% 9.34/6.79 tff(31152,plain,
% 9.34/6.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s201, s202)) | node2(s201, s202)),
% 9.34/6.79 inference(modus_ponens,[status(thm)],[31151, 31150])).
% 9.34/6.79 tff(31153,plain,
% 9.34/6.79 (node2(s201, s202)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31152, 7, 6734])).
% 9.34/6.79 tff(31154,plain,
% 9.34/6.79 (((~![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(s201, c_ready)) | (~node2(s201, s202)) | m_main_v_state(s202, c_busy) | (~m_main_v_request(s201)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s201, c_ready)) | (~node2(s201, s202)) | m_main_v_state(s202, c_busy) | (~m_main_v_request(s201)))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31155,plain,
% 9.34/6.79 ((~![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(s201, c_ready)) | (~node2(s201, s202)) | m_main_v_state(s202, c_busy) | (~m_main_v_request(s201)))),
% 9.34/6.79 inference(quant_inst,[status(thm)],[])).
% 9.34/6.79 tff(31156,plain,
% 9.34/6.79 ((~![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(s201, c_ready)) | (~node2(s201, s202)) | m_main_v_state(s202, c_busy) | (~m_main_v_request(s201))),
% 9.34/6.79 inference(modus_ponens,[status(thm)],[31155, 31154])).
% 9.34/6.79 tff(31157,plain,
% 9.34/6.79 ((~m_main_v_state(s201, c_ready)) | m_main_v_state(s202, c_busy) | (~m_main_v_request(s201))),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31156, 191, 31153])).
% 9.34/6.79 tff(31158,plain,
% 9.34/6.79 (~m_main_v_request(s201)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31157, 31149, 31145])).
% 9.34/6.79 tff(31159,plain,
% 9.34/6.79 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s201) | (~node4(s201)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s201) | (~node4(s201)))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31160,plain,
% 9.34/6.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s201) | (~node4(s201)))),
% 9.34/6.79 inference(quant_inst,[status(thm)],[])).
% 9.34/6.79 tff(31161,plain,
% 9.34/6.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s201) | (~node4(s201))),
% 9.34/6.79 inference(modus_ponens,[status(thm)],[31160, 31159])).
% 9.34/6.79 tff(31162,plain,
% 9.34/6.79 (~node4(s201)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31161, 154, 31158])).
% 9.34/6.79 tff(31163,plain,
% 9.34/6.79 (~until5(s201)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31104, 31162])).
% 9.34/6.79 tff(31164,plain,
% 9.34/6.79 (~xuntil6(s200)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6758, 31163])).
% 9.34/6.79 tff(31165,plain,
% 9.34/6.79 (node4(s200) | (~until5(s200))),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6778, 36, 31164])).
% 9.34/6.79 tff(31166,plain,
% 9.34/6.79 (~until5(s200)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31165, 31144])).
% 9.34/6.79 tff(31167,plain,
% 9.34/6.79 (~xuntil6(s199)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6787, 31166])).
% 9.34/6.79 tff(31168,assumption,(~always3(s199)), introduced(assumption)).
% 9.34/6.79 tff(31169,plain,
% 9.34/6.79 (~node4(s199)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6800, 22, 31168])).
% 9.34/6.79 tff(31170,assumption,(~xuntil6(s199)), introduced(assumption)).
% 9.34/6.79 tff(31171,plain,
% 9.34/6.79 (node4(s199) | (~until5(s199))),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6807, 36, 31170])).
% 9.34/6.79 tff(31172,plain,
% 9.34/6.79 (~until5(s199)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31171, 31169])).
% 9.34/6.79 tff(31173,plain,
% 9.34/6.79 (~always3(s198)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6825, 31168])).
% 9.34/6.79 tff(31174,plain,
% 9.34/6.79 (~node4(s198)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6829, 22, 31173])).
% 9.34/6.79 tff(31175,plain,
% 9.34/6.79 (xuntil6(s198)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31095, 31174])).
% 9.34/6.79 tff(31176,plain,
% 9.34/6.79 ($false),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6816, 31175, 31172])).
% 9.34/6.79 tff(31177,plain,(always3(s199) | (~until5(s198)) | xuntil6(s199)), inference(lemma,lemma(discharge,[]))).
% 9.34/6.79 tff(31178,plain,
% 9.34/6.79 (always3(s199)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31177, 31087, 31167])).
% 9.34/6.79 tff(31179,plain,
% 9.34/6.79 (((~![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)))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31180,plain,
% 9.34/6.79 (((~m_main_v_state(s199, c_busy)) | (~always3(s199))) <=> ((~always3(s199)) | (~m_main_v_state(s199, c_busy)))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31181,plain,
% 9.34/6.79 (((~![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))))),
% 9.34/6.79 inference(monotonicity,[status(thm)],[31180])).
% 9.34/6.79 tff(31182,plain,
% 9.34/6.79 (((~![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)))),
% 9.34/6.79 inference(transitivity,[status(thm)],[31181, 31179])).
% 9.34/6.79 tff(31183,plain,
% 9.34/6.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s199, c_busy)) | (~always3(s199)))),
% 9.34/6.79 inference(quant_inst,[status(thm)],[])).
% 9.34/6.79 tff(31184,plain,
% 9.34/6.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s199)) | (~m_main_v_state(s199, c_busy))),
% 9.34/6.79 inference(modus_ponens,[status(thm)],[31183, 31182])).
% 9.34/6.79 tff(31185,plain,
% 9.34/6.79 (~m_main_v_state(s199, c_busy)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31184, 170, 31178])).
% 9.34/6.79 tff(31186,plain,
% 9.34/6.79 (always3(s200)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6796, 31178])).
% 9.34/6.79 tff(31187,plain,
% 9.34/6.79 (~m_main_v_state(s200, c_busy)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31137, 170, 31186])).
% 9.34/6.79 tff(31188,plain,
% 9.34/6.79 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s199, c_busy) | m_main_v_state(s199, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s199, c_busy) | m_main_v_state(s199, c_ready))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31189,plain,
% 9.34/6.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s199, c_busy) | m_main_v_state(s199, c_ready))),
% 9.34/6.79 inference(quant_inst,[status(thm)],[])).
% 9.34/6.79 tff(31190,plain,
% 9.34/6.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s199, c_busy) | m_main_v_state(s199, c_ready)),
% 9.34/6.79 inference(modus_ponens,[status(thm)],[31189, 31188])).
% 9.34/6.79 tff(31191,plain,
% 9.34/6.79 (m_main_v_state(s199, c_ready)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31190, 213, 31185])).
% 9.34/6.79 tff(31192,plain,
% 9.34/6.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s200)) | node2(s199, s200))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s200)) | node2(s199, s200))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31193,plain,
% 9.34/6.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s199, s200)) | node2(s199, s200))),
% 9.34/6.79 inference(quant_inst,[status(thm)],[])).
% 9.34/6.79 tff(31194,plain,
% 9.34/6.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s199, s200)) | node2(s199, s200)),
% 9.34/6.79 inference(modus_ponens,[status(thm)],[31193, 31192])).
% 9.34/6.79 tff(31195,plain,
% 9.34/6.79 (node2(s199, s200)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31194, 7, 6792])).
% 9.34/6.79 tff(31196,plain,
% 9.34/6.79 (((~![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(s199, c_ready)) | (~node2(s199, s200)) | m_main_v_state(s200, c_busy) | (~m_main_v_request(s199)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s199, c_ready)) | (~node2(s199, s200)) | m_main_v_state(s200, c_busy) | (~m_main_v_request(s199)))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31197,plain,
% 9.34/6.79 ((~![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(s199, c_ready)) | (~node2(s199, s200)) | m_main_v_state(s200, c_busy) | (~m_main_v_request(s199)))),
% 9.34/6.79 inference(quant_inst,[status(thm)],[])).
% 9.34/6.79 tff(31198,plain,
% 9.34/6.79 ((~![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(s199, c_ready)) | (~node2(s199, s200)) | m_main_v_state(s200, c_busy) | (~m_main_v_request(s199))),
% 9.34/6.79 inference(modus_ponens,[status(thm)],[31197, 31196])).
% 9.34/6.79 tff(31199,plain,
% 9.34/6.79 ((~m_main_v_state(s199, c_ready)) | m_main_v_state(s200, c_busy) | (~m_main_v_request(s199))),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31198, 191, 31195])).
% 9.34/6.79 tff(31200,plain,
% 9.34/6.79 (~m_main_v_request(s199)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31199, 31191, 31187])).
% 9.34/6.79 tff(31201,plain,
% 9.34/6.79 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s199) | (~node4(s199)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s199) | (~node4(s199)))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31202,plain,
% 9.34/6.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s199) | (~node4(s199)))),
% 9.34/6.79 inference(quant_inst,[status(thm)],[])).
% 9.34/6.79 tff(31203,plain,
% 9.34/6.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s199) | (~node4(s199))),
% 9.34/6.79 inference(modus_ponens,[status(thm)],[31202, 31201])).
% 9.34/6.79 tff(31204,plain,
% 9.34/6.79 (~node4(s199)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31203, 154, 31200])).
% 9.34/6.79 tff(31205,plain,
% 9.34/6.79 (node4(s199) | (~until5(s199))),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6807, 36, 31167])).
% 9.34/6.79 tff(31206,plain,
% 9.34/6.79 (~until5(s199)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31205, 31204])).
% 9.34/6.79 tff(31207,plain,
% 9.34/6.79 (~xuntil6(s198)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[6816, 31206])).
% 9.34/6.79 tff(31208,plain,
% 9.34/6.79 (node4(s198)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31095, 31207])).
% 9.34/6.79 tff(31209,plain,
% 9.34/6.79 (((~![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)))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31210,plain,
% 9.34/6.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s198) | (~node4(s198)))),
% 9.34/6.79 inference(quant_inst,[status(thm)],[])).
% 9.34/6.79 tff(31211,plain,
% 9.34/6.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s198) | (~node4(s198))),
% 9.34/6.79 inference(modus_ponens,[status(thm)],[31210, 31209])).
% 9.34/6.79 tff(31212,plain,
% 9.34/6.79 (m_main_v_request(s198)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31211, 154, 31208])).
% 9.34/6.79 tff(31213,plain,
% 9.34/6.79 (((~![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))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31214,plain,
% 9.34/6.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s198, s199)) | node2(s198, s199))),
% 9.34/6.79 inference(quant_inst,[status(thm)],[])).
% 9.34/6.79 tff(31215,plain,
% 9.34/6.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s198, s199)) | node2(s198, s199)),
% 9.34/6.79 inference(modus_ponens,[status(thm)],[31214, 31213])).
% 9.34/6.79 tff(31216,plain,
% 9.34/6.79 (node2(s198, s199)),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31215, 7, 6821])).
% 9.34/6.79 tff(31217,plain,
% 9.34/6.79 (((~![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)))),
% 9.34/6.79 inference(rewrite,[status(thm)],[])).
% 9.34/6.79 tff(31218,plain,
% 9.34/6.79 ((~![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)))),
% 9.34/6.79 inference(quant_inst,[status(thm)],[])).
% 9.34/6.79 tff(31219,plain,
% 9.34/6.79 ((~![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))),
% 9.34/6.79 inference(modus_ponens,[status(thm)],[31218, 31217])).
% 9.34/6.79 tff(31220,plain,
% 9.34/6.79 ((~m_main_v_state(s198, c_ready)) | m_main_v_state(s199, c_busy) | (~m_main_v_request(s198))),
% 9.34/6.79 inference(unit_resolution,[status(thm)],[31219, 191, 31216])).
% 9.34/6.79 tff(31221,plain,
% 9.36/6.79 (~m_main_v_state(s198, c_ready)),
% 9.36/6.79 inference(unit_resolution,[status(thm)],[31220, 31212, 31185])).
% 9.36/6.79 tff(31222,plain,
% 9.36/6.79 (always3(s198)),
% 9.36/6.79 inference(unit_resolution,[status(thm)],[6829, 22, 31208])).
% 9.36/6.79 tff(31223,plain,
% 9.36/6.79 (~m_main_v_state(s198, c_busy)),
% 9.36/6.79 inference(unit_resolution,[status(thm)],[30863, 170, 31222])).
% 9.36/6.79 tff(31224,plain,
% 9.36/6.79 (((~![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))),
% 9.36/6.79 inference(rewrite,[status(thm)],[])).
% 9.36/6.79 tff(31225,plain,
% 9.36/6.79 ((~![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))),
% 9.36/6.79 inference(quant_inst,[status(thm)],[])).
% 9.36/6.79 tff(31226,plain,
% 9.36/6.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s198, c_busy) | m_main_v_state(s198, c_ready)),
% 9.36/6.79 inference(modus_ponens,[status(thm)],[31225, 31224])).
% 9.36/6.79 tff(31227,plain,
% 9.36/6.79 ($false),
% 9.36/6.79 inference(unit_resolution,[status(thm)],[31226, 213, 31223, 31221])).
% 9.36/6.79 tff(31228,plain,((~until5(s198)) | xuntil6(s201) | m_main_v_state(s202, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.36/6.79 tff(31229,plain,
% 9.36/6.79 (xuntil6(s201)),
% 9.36/6.79 inference(unit_resolution,[status(thm)],[31228, 31082, 31087])).
% 9.36/6.79 tff(31230,plain,
% 9.36/6.79 (until5(s202)),
% 9.36/6.79 inference(unit_resolution,[status(thm)],[6729, 31229])).
% 9.36/6.79 tff(31231,plain,
% 9.36/6.79 (node4(s202)),
% 9.36/6.79 inference(unit_resolution,[status(thm)],[30925, 31230])).
% 9.36/6.79 tff(31232,plain,
% 9.36/6.79 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s202) | (~node4(s202)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s202) | (~node4(s202)))),
% 9.36/6.79 inference(rewrite,[status(thm)],[])).
% 9.36/6.79 tff(31233,plain,
% 9.36/6.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s202) | (~node4(s202)))),
% 9.36/6.79 inference(quant_inst,[status(thm)],[])).
% 9.36/6.79 tff(31234,plain,
% 9.36/6.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s202) | (~node4(s202))),
% 9.36/6.79 inference(modus_ponens,[status(thm)],[31233, 31232])).
% 9.36/6.79 tff(31235,plain,
% 9.36/6.79 (m_main_v_request(s202)),
% 9.36/6.79 inference(unit_resolution,[status(thm)],[31234, 154, 31231])).
% 9.36/6.79 tff(31236,plain,
% 9.36/6.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s202, s203)) | node2(s202, s203))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s202, s203)) | node2(s202, s203))),
% 9.36/6.79 inference(rewrite,[status(thm)],[])).
% 9.36/6.79 tff(31237,plain,
% 9.36/6.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s202, s203)) | node2(s202, s203))),
% 9.36/6.79 inference(quant_inst,[status(thm)],[])).
% 9.36/6.79 tff(31238,plain,
% 9.36/6.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s202, s203)) | node2(s202, s203)),
% 9.36/6.79 inference(modus_ponens,[status(thm)],[31237, 31236])).
% 9.36/6.79 tff(31239,plain,
% 9.36/6.79 (node2(s202, s203)),
% 9.36/6.79 inference(unit_resolution,[status(thm)],[31238, 7, 6705])).
% 9.36/6.79 tff(31240,plain,
% 9.36/6.79 (((~![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(s202, c_ready)) | (~node2(s202, s203)) | m_main_v_state(s203, c_busy) | (~m_main_v_request(s202)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s202, c_ready)) | (~node2(s202, s203)) | m_main_v_state(s203, c_busy) | (~m_main_v_request(s202)))),
% 9.36/6.79 inference(rewrite,[status(thm)],[])).
% 9.36/6.79 tff(31241,plain,
% 9.36/6.79 ((~![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(s202, c_ready)) | (~node2(s202, s203)) | m_main_v_state(s203, c_busy) | (~m_main_v_request(s202)))),
% 9.36/6.79 inference(quant_inst,[status(thm)],[])).
% 9.36/6.79 tff(31242,plain,
% 9.36/6.79 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s202, c_ready)) | (~node2(s202, s203)) | m_main_v_state(s203, c_busy) | (~m_main_v_request(s202))),
% 9.36/6.80 inference(modus_ponens,[status(thm)],[31241, 31240])).
% 9.36/6.80 tff(31243,plain,
% 9.36/6.80 ((~m_main_v_state(s202, c_ready)) | m_main_v_state(s203, c_busy) | (~m_main_v_request(s202))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31242, 191, 31239])).
% 9.36/6.80 tff(31244,plain,
% 9.36/6.80 ($false),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31243, 31235, 31086, 31075])).
% 9.36/6.80 tff(31245,plain,(xuntil6(s202) | (~until5(s198))), inference(lemma,lemma(discharge,[]))).
% 9.36/6.80 tff(31246,plain,
% 9.36/6.80 (xuntil6(s202)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31245, 30919])).
% 9.36/6.80 tff(31247,plain,
% 9.36/6.80 (until5(s203)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6700, 31246])).
% 9.36/6.80 tff(31248,assumption,(~xuntil6(s206)), introduced(assumption)).
% 9.36/6.80 tff(31249,assumption,(~always3(s206)), introduced(assumption)).
% 9.36/6.80 tff(31250,plain,
% 9.36/6.80 (~always3(s205)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6622, 31249])).
% 9.36/6.80 tff(31251,plain,
% 9.36/6.80 (~node4(s205)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6626, 22, 31250])).
% 9.36/6.80 tff(31252,plain,
% 9.36/6.80 (~node4(s206)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6597, 22, 31249])).
% 9.36/6.80 tff(31253,plain,
% 9.36/6.80 (node4(s206) | (~until5(s206))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6604, 36, 31248])).
% 9.36/6.80 tff(31254,plain,
% 9.36/6.80 (~until5(s206)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31253, 31252])).
% 9.36/6.80 tff(31255,plain,
% 9.36/6.80 (~xuntil6(s205)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6613, 31254])).
% 9.36/6.80 tff(31256,plain,
% 9.36/6.80 (~until5(s205)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6633, 36, 31255, 31251])).
% 9.36/6.80 tff(31257,plain,
% 9.36/6.80 (~xuntil6(s204)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6642, 31256])).
% 9.36/6.80 tff(31258,plain,
% 9.36/6.80 (~always3(s204)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6651, 31250])).
% 9.36/6.80 tff(31259,plain,
% 9.36/6.80 (~node4(s204)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6655, 22, 31258])).
% 9.36/6.80 tff(31260,plain,
% 9.36/6.80 (xuntil6(s204) | (~until5(s204))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6662, 36, 31259])).
% 9.36/6.80 tff(31261,plain,
% 9.36/6.80 (~until5(s204)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31260, 31257])).
% 9.36/6.80 tff(31262,plain,
% 9.36/6.80 (~xuntil6(s203)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6671, 31261])).
% 9.36/6.80 tff(31263,plain,
% 9.36/6.80 (~always3(s203)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6680, 31258])).
% 9.36/6.80 tff(31264,plain,
% 9.36/6.80 (~node4(s203)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6684, 22, 31263])).
% 9.36/6.80 tff(31265,plain,
% 9.36/6.80 (xuntil6(s203) | (~until5(s203))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6691, 36, 31264])).
% 9.36/6.80 tff(31266,plain,
% 9.36/6.80 (~until5(s203)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31265, 31262])).
% 9.36/6.80 tff(31267,plain,
% 9.36/6.80 (~xuntil6(s202)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6700, 31266])).
% 9.36/6.80 tff(31268,plain,
% 9.36/6.80 (~always3(s202)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6709, 31263])).
% 9.36/6.80 tff(31269,plain,
% 9.36/6.80 (~node4(s202)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6713, 22, 31268])).
% 9.36/6.80 tff(31270,plain,
% 9.36/6.80 (xuntil6(s202) | (~until5(s202))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6720, 36, 31269])).
% 9.36/6.80 tff(31271,plain,
% 9.36/6.80 (~until5(s202)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31270, 31267])).
% 9.36/6.80 tff(31272,plain,
% 9.36/6.80 (~xuntil6(s201)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6729, 31271])).
% 9.36/6.80 tff(31273,plain,
% 9.36/6.80 (~always3(s201)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6738, 31268])).
% 9.36/6.80 tff(31274,plain,
% 9.36/6.80 (~node4(s201)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6742, 22, 31273])).
% 9.36/6.80 tff(31275,plain,
% 9.36/6.80 (xuntil6(s201) | (~until5(s201))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6749, 36, 31274])).
% 9.36/6.80 tff(31276,plain,
% 9.36/6.80 (~until5(s201)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31275, 31272])).
% 9.36/6.80 tff(31277,plain,
% 9.36/6.80 (~xuntil6(s200)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6758, 31276])).
% 9.36/6.80 tff(31278,plain,
% 9.36/6.80 (~always3(s200)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6767, 31273])).
% 9.36/6.80 tff(31279,plain,
% 9.36/6.80 (~node4(s200)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6771, 22, 31278])).
% 9.36/6.80 tff(31280,plain,
% 9.36/6.80 (xuntil6(s200) | (~until5(s200))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6778, 36, 31279])).
% 9.36/6.80 tff(31281,plain,
% 9.36/6.80 (~until5(s200)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31280, 31277])).
% 9.36/6.80 tff(31282,plain,
% 9.36/6.80 (~xuntil6(s199)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6787, 31281])).
% 9.36/6.80 tff(31283,plain,
% 9.36/6.80 (~always3(s199)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6796, 31278])).
% 9.36/6.80 tff(31284,plain,
% 9.36/6.80 (~node4(s199)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6800, 22, 31283])).
% 9.36/6.80 tff(31285,plain,
% 9.36/6.80 (xuntil6(s199) | (~until5(s199))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6807, 36, 31284])).
% 9.36/6.80 tff(31286,plain,
% 9.36/6.80 (~until5(s199)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31285, 31282])).
% 9.36/6.80 tff(31287,plain,
% 9.36/6.80 (~xuntil6(s198)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6816, 31286])).
% 9.36/6.80 tff(31288,plain,
% 9.36/6.80 (~always3(s198)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6825, 31283])).
% 9.36/6.80 tff(31289,plain,
% 9.36/6.80 (~node4(s198)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6829, 22, 31288])).
% 9.36/6.80 tff(31290,plain,
% 9.36/6.80 (xuntil6(s198) | (~until5(s198))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6836, 36, 31289])).
% 9.36/6.80 tff(31291,plain,
% 9.36/6.80 (~until5(s198)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31290, 31287])).
% 9.36/6.80 tff(31292,plain,
% 9.36/6.80 (~xuntil6(s197)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6845, 31291])).
% 9.36/6.80 tff(31293,plain,
% 9.36/6.80 (~always3(s197)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6854, 31288])).
% 9.36/6.80 tff(31294,plain,
% 9.36/6.80 (~node4(s197)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6858, 22, 31293])).
% 9.36/6.80 tff(31295,plain,
% 9.36/6.80 (xuntil6(s197) | (~until5(s197))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6865, 36, 31294])).
% 9.36/6.80 tff(31296,plain,
% 9.36/6.80 (~until5(s197)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31295, 31292])).
% 9.36/6.80 tff(31297,plain,
% 9.36/6.80 (~xuntil6(s196)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6874, 31296])).
% 9.36/6.80 tff(31298,plain,
% 9.36/6.80 (~always3(s196)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6883, 31293])).
% 9.36/6.80 tff(31299,plain,
% 9.36/6.80 (~node4(s196)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6887, 22, 31298])).
% 9.36/6.80 tff(31300,plain,
% 9.36/6.80 (xuntil6(s196) | (~until5(s196))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6894, 36, 31299])).
% 9.36/6.80 tff(31301,plain,
% 9.36/6.80 (~until5(s196)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31300, 31297])).
% 9.36/6.80 tff(31302,plain,
% 9.36/6.80 (~xuntil6(s195)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6903, 31301])).
% 9.36/6.80 tff(31303,plain,
% 9.36/6.80 (~always3(s195)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6912, 31298])).
% 9.36/6.80 tff(31304,plain,
% 9.36/6.80 (~node4(s195)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6916, 22, 31303])).
% 9.36/6.80 tff(31305,plain,
% 9.36/6.80 (xuntil6(s195) | (~until5(s195))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6923, 36, 31304])).
% 9.36/6.80 tff(31306,plain,
% 9.36/6.80 (~until5(s195)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31305, 31302])).
% 9.36/6.80 tff(31307,plain,
% 9.36/6.80 (~xuntil6(s194)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6932, 31306])).
% 9.36/6.80 tff(31308,plain,
% 9.36/6.80 (~always3(s194)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6941, 31303])).
% 9.36/6.80 tff(31309,plain,
% 9.36/6.80 (~node4(s194)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6945, 22, 31308])).
% 9.36/6.80 tff(31310,plain,
% 9.36/6.80 (xuntil6(s194) | (~until5(s194))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6952, 36, 31309])).
% 9.36/6.80 tff(31311,plain,
% 9.36/6.80 (~until5(s194)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31310, 31307])).
% 9.36/6.80 tff(31312,plain,
% 9.36/6.80 (~xuntil6(s193)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6961, 31311])).
% 9.36/6.80 tff(31313,plain,
% 9.36/6.80 (~always3(s193)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6970, 31308])).
% 9.36/6.80 tff(31314,plain,
% 9.36/6.80 (~node4(s193)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6974, 22, 31313])).
% 9.36/6.80 tff(31315,plain,
% 9.36/6.80 (xuntil6(s193) | (~until5(s193))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6981, 36, 31314])).
% 9.36/6.80 tff(31316,plain,
% 9.36/6.80 (~until5(s193)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31315, 31312])).
% 9.36/6.80 tff(31317,plain,
% 9.36/6.80 (~xuntil6(s192)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6990, 31316])).
% 9.36/6.80 tff(31318,plain,
% 9.36/6.80 (~always3(s192)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6999, 31313])).
% 9.36/6.80 tff(31319,plain,
% 9.36/6.80 (~node4(s192)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7003, 22, 31318])).
% 9.36/6.80 tff(31320,plain,
% 9.36/6.80 (xuntil6(s192) | (~until5(s192))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7010, 36, 31319])).
% 9.36/6.80 tff(31321,plain,
% 9.36/6.80 (~until5(s192)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31320, 31317])).
% 9.36/6.80 tff(31322,plain,
% 9.36/6.80 (~xuntil6(s191)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7019, 31321])).
% 9.36/6.80 tff(31323,plain,
% 9.36/6.80 (~always3(s191)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7028, 31318])).
% 9.36/6.80 tff(31324,plain,
% 9.36/6.80 (~node4(s191)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7032, 22, 31323])).
% 9.36/6.80 tff(31325,plain,
% 9.36/6.80 (xuntil6(s191) | (~until5(s191))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7039, 36, 31324])).
% 9.36/6.80 tff(31326,plain,
% 9.36/6.80 (~until5(s191)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31325, 31322])).
% 9.36/6.80 tff(31327,plain,
% 9.36/6.80 (~xuntil6(s190)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7048, 31326])).
% 9.36/6.80 tff(31328,plain,
% 9.36/6.80 (~always3(s190)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7057, 31323])).
% 9.36/6.80 tff(31329,plain,
% 9.36/6.80 (~always3(s189)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7086, 31328])).
% 9.36/6.80 tff(31330,plain,
% 9.36/6.80 (~always3(s188)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7115, 31329])).
% 9.36/6.80 tff(31331,plain,
% 9.36/6.80 (~always3(s187)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7144, 31330])).
% 9.36/6.80 tff(31332,plain,
% 9.36/6.80 (~always3(s186)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7173, 31331])).
% 9.36/6.80 tff(31333,plain,
% 9.36/6.80 (~always3(s185)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7202, 31332])).
% 9.36/6.80 tff(31334,plain,
% 9.36/6.80 (~always3(s184)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7231, 31333])).
% 9.36/6.80 tff(31335,plain,
% 9.36/6.80 (~always3(s183)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7260, 31334])).
% 9.36/6.80 tff(31336,plain,
% 9.36/6.80 (~always3(s182)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7289, 31335])).
% 9.36/6.80 tff(31337,plain,
% 9.36/6.80 (~always3(s181)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7318, 31336])).
% 9.36/6.80 tff(31338,plain,
% 9.36/6.80 (~always3(s180)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7347, 31337])).
% 9.36/6.80 tff(31339,plain,
% 9.36/6.80 (~always3(s179)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7376, 31338])).
% 9.36/6.80 tff(31340,plain,
% 9.36/6.80 (~always3(s178)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7405, 31339])).
% 9.36/6.80 tff(31341,plain,
% 9.36/6.80 (~always3(s177)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7434, 31340])).
% 9.36/6.80 tff(31342,plain,
% 9.36/6.80 (~always3(s176)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7463, 31341])).
% 9.36/6.80 tff(31343,plain,
% 9.36/6.80 (~always3(s175)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7492, 31342])).
% 9.36/6.80 tff(31344,plain,
% 9.36/6.80 (~node4(s175)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7496, 22, 31343])).
% 9.36/6.80 tff(31345,plain,
% 9.36/6.80 (~always3(s174)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7521, 31343])).
% 9.36/6.80 tff(31346,plain,
% 9.36/6.80 (~node4(s174)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7525, 22, 31345])).
% 9.36/6.80 tff(31347,plain,
% 9.36/6.80 (~always3(s173)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7550, 31345])).
% 9.36/6.80 tff(31348,plain,
% 9.36/6.80 (xuntil6(s173)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[29489, 31347])).
% 9.36/6.80 tff(31349,plain,
% 9.36/6.80 (until5(s174)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7541, 31348])).
% 9.36/6.80 tff(31350,plain,
% 9.36/6.80 (xuntil6(s174) | node4(s174)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7532, 36, 31349])).
% 9.36/6.80 tff(31351,plain,
% 9.36/6.80 (xuntil6(s174)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31350, 31346])).
% 9.36/6.80 tff(31352,plain,
% 9.36/6.80 (until5(s175)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7512, 31351])).
% 9.36/6.80 tff(31353,plain,
% 9.36/6.80 (xuntil6(s175)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7503, 36, 31352, 31344])).
% 9.36/6.80 tff(31354,plain,
% 9.36/6.80 (until5(s176)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7483, 31353])).
% 9.36/6.80 tff(31355,plain,
% 9.36/6.80 (~node4(s176)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7467, 22, 31342])).
% 9.36/6.80 tff(31356,plain,
% 9.36/6.80 (xuntil6(s176) | (~until5(s176))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7474, 36, 31355])).
% 9.36/6.80 tff(31357,plain,
% 9.36/6.80 (xuntil6(s176)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31356, 31354])).
% 9.36/6.80 tff(31358,plain,
% 9.36/6.80 (until5(s177)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7454, 31357])).
% 9.36/6.80 tff(31359,plain,
% 9.36/6.80 (~node4(s177)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7438, 22, 31341])).
% 9.36/6.80 tff(31360,plain,
% 9.36/6.80 (xuntil6(s177) | (~until5(s177))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7445, 36, 31359])).
% 9.36/6.80 tff(31361,plain,
% 9.36/6.80 (xuntil6(s177)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31360, 31358])).
% 9.36/6.80 tff(31362,plain,
% 9.36/6.80 (until5(s178)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7425, 31361])).
% 9.36/6.80 tff(31363,plain,
% 9.36/6.80 (~node4(s178)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7409, 22, 31340])).
% 9.36/6.80 tff(31364,plain,
% 9.36/6.80 (xuntil6(s178) | (~until5(s178))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7416, 36, 31363])).
% 9.36/6.80 tff(31365,plain,
% 9.36/6.80 (xuntil6(s178)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31364, 31362])).
% 9.36/6.80 tff(31366,plain,
% 9.36/6.80 (until5(s179)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7396, 31365])).
% 9.36/6.80 tff(31367,plain,
% 9.36/6.80 (~node4(s179)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7380, 22, 31339])).
% 9.36/6.80 tff(31368,plain,
% 9.36/6.80 (xuntil6(s179) | (~until5(s179))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7387, 36, 31367])).
% 9.36/6.80 tff(31369,plain,
% 9.36/6.80 (xuntil6(s179)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31368, 31366])).
% 9.36/6.80 tff(31370,plain,
% 9.36/6.80 (until5(s180)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7367, 31369])).
% 9.36/6.80 tff(31371,plain,
% 9.36/6.80 (~node4(s180)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7351, 22, 31338])).
% 9.36/6.80 tff(31372,plain,
% 9.36/6.80 (xuntil6(s180) | (~until5(s180))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7358, 36, 31371])).
% 9.36/6.80 tff(31373,plain,
% 9.36/6.80 (xuntil6(s180)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31372, 31370])).
% 9.36/6.80 tff(31374,plain,
% 9.36/6.80 (until5(s181)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7338, 31373])).
% 9.36/6.80 tff(31375,plain,
% 9.36/6.80 (~node4(s181)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7322, 22, 31337])).
% 9.36/6.80 tff(31376,plain,
% 9.36/6.80 (xuntil6(s181) | (~until5(s181))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7329, 36, 31375])).
% 9.36/6.80 tff(31377,plain,
% 9.36/6.80 (xuntil6(s181)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31376, 31374])).
% 9.36/6.80 tff(31378,plain,
% 9.36/6.80 (until5(s182)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7309, 31377])).
% 9.36/6.80 tff(31379,plain,
% 9.36/6.80 (~node4(s182)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7293, 22, 31336])).
% 9.36/6.80 tff(31380,plain,
% 9.36/6.80 (xuntil6(s182) | (~until5(s182))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7300, 36, 31379])).
% 9.36/6.80 tff(31381,plain,
% 9.36/6.80 (xuntil6(s182)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31380, 31378])).
% 9.36/6.80 tff(31382,plain,
% 9.36/6.80 (until5(s183)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7280, 31381])).
% 9.36/6.80 tff(31383,plain,
% 9.36/6.80 (~node4(s183)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7264, 22, 31335])).
% 9.36/6.80 tff(31384,plain,
% 9.36/6.80 (xuntil6(s183) | (~until5(s183))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7271, 36, 31383])).
% 9.36/6.80 tff(31385,plain,
% 9.36/6.80 (xuntil6(s183)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31384, 31382])).
% 9.36/6.80 tff(31386,plain,
% 9.36/6.80 (until5(s184)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7251, 31385])).
% 9.36/6.80 tff(31387,plain,
% 9.36/6.80 (~node4(s184)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7235, 22, 31334])).
% 9.36/6.80 tff(31388,plain,
% 9.36/6.80 (xuntil6(s184) | (~until5(s184))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7242, 36, 31387])).
% 9.36/6.80 tff(31389,plain,
% 9.36/6.80 (xuntil6(s184)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31388, 31386])).
% 9.36/6.80 tff(31390,plain,
% 9.36/6.80 (until5(s185)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7222, 31389])).
% 9.36/6.80 tff(31391,plain,
% 9.36/6.80 (~node4(s185)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7206, 22, 31333])).
% 9.36/6.80 tff(31392,plain,
% 9.36/6.80 (xuntil6(s185) | (~until5(s185))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7213, 36, 31391])).
% 9.36/6.80 tff(31393,plain,
% 9.36/6.80 (xuntil6(s185)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31392, 31390])).
% 9.36/6.80 tff(31394,plain,
% 9.36/6.80 (until5(s186)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7193, 31393])).
% 9.36/6.80 tff(31395,plain,
% 9.36/6.80 (~node4(s186)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7177, 22, 31332])).
% 9.36/6.80 tff(31396,plain,
% 9.36/6.80 (xuntil6(s186) | (~until5(s186))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7184, 36, 31395])).
% 9.36/6.80 tff(31397,plain,
% 9.36/6.80 (xuntil6(s186)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31396, 31394])).
% 9.36/6.80 tff(31398,plain,
% 9.36/6.80 (until5(s187)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7164, 31397])).
% 9.36/6.80 tff(31399,plain,
% 9.36/6.80 (~node4(s187)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7148, 22, 31331])).
% 9.36/6.80 tff(31400,plain,
% 9.36/6.80 (xuntil6(s187) | (~until5(s187))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7155, 36, 31399])).
% 9.36/6.80 tff(31401,plain,
% 9.36/6.80 (xuntil6(s187)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31400, 31398])).
% 9.36/6.80 tff(31402,plain,
% 9.36/6.80 (until5(s188)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7135, 31401])).
% 9.36/6.80 tff(31403,plain,
% 9.36/6.80 (~node4(s188)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7119, 22, 31330])).
% 9.36/6.80 tff(31404,plain,
% 9.36/6.80 (xuntil6(s188) | (~until5(s188))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7126, 36, 31403])).
% 9.36/6.80 tff(31405,plain,
% 9.36/6.80 (xuntil6(s188)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31404, 31402])).
% 9.36/6.80 tff(31406,plain,
% 9.36/6.80 (until5(s189)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7106, 31405])).
% 9.36/6.80 tff(31407,plain,
% 9.36/6.80 (~node4(s189)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7090, 22, 31329])).
% 9.36/6.80 tff(31408,plain,
% 9.36/6.80 (xuntil6(s189) | (~until5(s189))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7097, 36, 31407])).
% 9.36/6.80 tff(31409,plain,
% 9.36/6.80 (xuntil6(s189)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31408, 31406])).
% 9.36/6.80 tff(31410,plain,
% 9.36/6.80 (until5(s190)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7077, 31409])).
% 9.36/6.80 tff(31411,plain,
% 9.36/6.80 (~node4(s190)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7061, 22, 31328])).
% 9.36/6.80 tff(31412,plain,
% 9.36/6.80 (xuntil6(s190) | (~until5(s190))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[7068, 36, 31411])).
% 9.36/6.80 tff(31413,plain,
% 9.36/6.80 ($false),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31412, 31410, 31327])).
% 9.36/6.80 tff(31414,plain,(always3(s206) | xuntil6(s206)), inference(lemma,lemma(discharge,[]))).
% 9.36/6.80 tff(31415,plain,
% 9.36/6.80 (always3(s206)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31414, 31248])).
% 9.36/6.80 tff(31416,plain,
% 9.36/6.80 (always3(s207)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6593, 31415])).
% 9.36/6.80 tff(31417,plain,
% 9.36/6.80 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s207)) | (~m_main_v_state(s207, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s207)) | (~m_main_v_state(s207, c_busy)))),
% 9.36/6.80 inference(rewrite,[status(thm)],[])).
% 9.36/6.80 tff(31418,plain,
% 9.36/6.80 (((~m_main_v_state(s207, c_busy)) | (~always3(s207))) <=> ((~always3(s207)) | (~m_main_v_state(s207, c_busy)))),
% 9.36/6.80 inference(rewrite,[status(thm)],[])).
% 9.36/6.80 tff(31419,plain,
% 9.36/6.80 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s207, c_busy)) | (~always3(s207)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s207)) | (~m_main_v_state(s207, c_busy))))),
% 9.36/6.80 inference(monotonicity,[status(thm)],[31418])).
% 9.36/6.80 tff(31420,plain,
% 9.36/6.80 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s207, c_busy)) | (~always3(s207)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s207)) | (~m_main_v_state(s207, c_busy)))),
% 9.36/6.80 inference(transitivity,[status(thm)],[31419, 31417])).
% 9.36/6.80 tff(31421,plain,
% 9.36/6.80 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s207, c_busy)) | (~always3(s207)))),
% 9.36/6.80 inference(quant_inst,[status(thm)],[])).
% 9.36/6.80 tff(31422,plain,
% 9.36/6.80 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s207)) | (~m_main_v_state(s207, c_busy))),
% 9.36/6.80 inference(modus_ponens,[status(thm)],[31421, 31420])).
% 9.36/6.80 tff(31423,plain,
% 9.36/6.80 (~m_main_v_state(s207, c_busy)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31422, 170, 31416])).
% 9.36/6.80 tff(31424,plain,
% 9.36/6.80 (((~![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)))),
% 9.36/6.80 inference(rewrite,[status(thm)],[])).
% 9.36/6.80 tff(31425,plain,
% 9.36/6.80 (((~m_main_v_state(s206, c_busy)) | (~always3(s206))) <=> ((~always3(s206)) | (~m_main_v_state(s206, c_busy)))),
% 9.36/6.80 inference(rewrite,[status(thm)],[])).
% 9.36/6.80 tff(31426,plain,
% 9.36/6.80 (((~![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))))),
% 9.36/6.80 inference(monotonicity,[status(thm)],[31425])).
% 9.36/6.80 tff(31427,plain,
% 9.36/6.80 (((~![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)))),
% 9.36/6.80 inference(transitivity,[status(thm)],[31426, 31424])).
% 9.36/6.80 tff(31428,plain,
% 9.36/6.80 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s206, c_busy)) | (~always3(s206)))),
% 9.36/6.80 inference(quant_inst,[status(thm)],[])).
% 9.36/6.80 tff(31429,plain,
% 9.36/6.80 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s206)) | (~m_main_v_state(s206, c_busy))),
% 9.36/6.80 inference(modus_ponens,[status(thm)],[31428, 31427])).
% 9.36/6.80 tff(31430,plain,
% 9.36/6.80 (~m_main_v_state(s206, c_busy)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31429, 170, 31415])).
% 9.36/6.80 tff(31431,plain,
% 9.36/6.80 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s206, c_busy) | m_main_v_state(s206, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s206, c_busy) | m_main_v_state(s206, c_ready))),
% 9.36/6.80 inference(rewrite,[status(thm)],[])).
% 9.36/6.80 tff(31432,plain,
% 9.36/6.80 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s206, c_busy) | m_main_v_state(s206, c_ready))),
% 9.36/6.80 inference(quant_inst,[status(thm)],[])).
% 9.36/6.80 tff(31433,plain,
% 9.36/6.80 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s206, c_busy) | m_main_v_state(s206, c_ready)),
% 9.36/6.80 inference(modus_ponens,[status(thm)],[31432, 31431])).
% 9.36/6.80 tff(31434,plain,
% 9.36/6.80 (m_main_v_state(s206, c_ready)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31433, 213, 31430])).
% 9.36/6.80 tff(31435,assumption,(until5(s203)), introduced(assumption)).
% 9.36/6.80 tff(31436,assumption,(~m_main_v_state(s206, c_busy)), introduced(assumption)).
% 9.36/6.80 tff(31437,assumption,(~xuntil6(s205)), introduced(assumption)).
% 9.36/6.80 tff(31438,assumption,(~always3(s205)), introduced(assumption)).
% 9.36/6.80 tff(31439,plain,
% 9.36/6.80 (~always3(s204)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6651, 31438])).
% 9.36/6.80 tff(31440,plain,
% 9.36/6.80 (~node4(s204)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6655, 22, 31439])).
% 9.36/6.80 tff(31441,plain,
% 9.36/6.80 (~always3(s203)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6680, 31439])).
% 9.36/6.80 tff(31442,plain,
% 9.36/6.80 (~node4(s203)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6684, 22, 31441])).
% 9.36/6.80 tff(31443,plain,
% 9.36/6.80 (xuntil6(s203) | node4(s203)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6691, 36, 31435])).
% 9.36/6.80 tff(31444,plain,
% 9.36/6.80 (xuntil6(s203)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31443, 31442])).
% 9.36/6.80 tff(31445,plain,
% 9.36/6.80 (until5(s204)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6671, 31444])).
% 9.36/6.80 tff(31446,plain,
% 9.36/6.80 (xuntil6(s204)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6662, 36, 31445, 31440])).
% 9.36/6.80 tff(31447,plain,
% 9.36/6.80 (until5(s205)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6642, 31446])).
% 9.36/6.80 tff(31448,plain,
% 9.36/6.80 (node4(s205) | (~until5(s205))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6633, 36, 31437])).
% 9.36/6.80 tff(31449,plain,
% 9.36/6.80 (node4(s205)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31448, 31447])).
% 9.36/6.80 tff(31450,plain,
% 9.36/6.80 ($false),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6626, 22, 31438, 31449])).
% 9.36/6.80 tff(31451,plain,(always3(s205) | xuntil6(s205) | (~until5(s203))), inference(lemma,lemma(discharge,[]))).
% 9.36/6.80 tff(31452,plain,
% 9.36/6.80 (always3(s205)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31451, 31435, 31437])).
% 9.36/6.80 tff(31453,plain,
% 9.36/6.80 (((~![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)))),
% 9.36/6.80 inference(rewrite,[status(thm)],[])).
% 9.36/6.80 tff(31454,plain,
% 9.36/6.80 (((~m_main_v_state(s205, c_busy)) | (~always3(s205))) <=> ((~always3(s205)) | (~m_main_v_state(s205, c_busy)))),
% 9.36/6.80 inference(rewrite,[status(thm)],[])).
% 9.36/6.80 tff(31455,plain,
% 9.36/6.80 (((~![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))))),
% 9.36/6.80 inference(monotonicity,[status(thm)],[31454])).
% 9.36/6.80 tff(31456,plain,
% 9.36/6.80 (((~![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)))),
% 9.36/6.80 inference(transitivity,[status(thm)],[31455, 31453])).
% 9.36/6.80 tff(31457,plain,
% 9.36/6.80 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s205, c_busy)) | (~always3(s205)))),
% 9.36/6.80 inference(quant_inst,[status(thm)],[])).
% 9.36/6.80 tff(31458,plain,
% 9.36/6.80 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s205)) | (~m_main_v_state(s205, c_busy))),
% 9.36/6.80 inference(modus_ponens,[status(thm)],[31457, 31456])).
% 9.36/6.80 tff(31459,plain,
% 9.36/6.80 (~m_main_v_state(s205, c_busy)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31458, 170, 31452])).
% 9.36/6.80 tff(31460,plain,
% 9.36/6.80 (((~![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))),
% 9.36/6.80 inference(rewrite,[status(thm)],[])).
% 9.36/6.80 tff(31461,plain,
% 9.36/6.80 ((~![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))),
% 9.36/6.80 inference(quant_inst,[status(thm)],[])).
% 9.36/6.80 tff(31462,plain,
% 9.36/6.80 ((~![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)),
% 9.36/6.80 inference(modus_ponens,[status(thm)],[31461, 31460])).
% 9.36/6.80 tff(31463,plain,
% 9.36/6.80 (m_main_v_state(s205, c_ready)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31462, 213, 31459])).
% 9.36/6.80 tff(31464,plain,
% 9.36/6.80 (((~![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))),
% 9.36/6.80 inference(rewrite,[status(thm)],[])).
% 9.36/6.80 tff(31465,plain,
% 9.36/6.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s205, s206)) | node2(s205, s206))),
% 9.36/6.80 inference(quant_inst,[status(thm)],[])).
% 9.36/6.80 tff(31466,plain,
% 9.36/6.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s205, s206)) | node2(s205, s206)),
% 9.36/6.80 inference(modus_ponens,[status(thm)],[31465, 31464])).
% 9.36/6.80 tff(31467,plain,
% 9.36/6.80 (node2(s205, s206)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31466, 7, 6618])).
% 9.36/6.80 tff(31468,plain,
% 9.36/6.80 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.36/6.80 inference(rewrite,[status(thm)],[])).
% 9.36/6.80 tff(31469,plain,
% 9.36/6.80 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.36/6.80 inference(quant_inst,[status(thm)],[])).
% 9.36/6.80 tff(31470,plain,
% 9.36/6.80 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 9.36/6.80 inference(modus_ponens,[status(thm)],[31469, 31468])).
% 9.36/6.80 tff(31471,plain,
% 9.36/6.80 ((~m_main_v_state(s205, c_ready)) | m_main_v_state(s206, c_busy) | (~m_main_v_request(s205))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31470, 191, 31467])).
% 9.36/6.80 tff(31472,plain,
% 9.36/6.80 (~m_main_v_request(s205)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31471, 31463, 31436])).
% 9.36/6.80 tff(31473,plain,
% 9.36/6.80 (((~![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)))),
% 9.36/6.80 inference(rewrite,[status(thm)],[])).
% 9.36/6.80 tff(31474,plain,
% 9.36/6.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s205) | (~node4(s205)))),
% 9.36/6.80 inference(quant_inst,[status(thm)],[])).
% 9.36/6.80 tff(31475,plain,
% 9.36/6.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s205) | (~node4(s205))),
% 9.36/6.80 inference(modus_ponens,[status(thm)],[31474, 31473])).
% 9.36/6.80 tff(31476,plain,
% 9.36/6.80 (~node4(s205)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31475, 154, 31472])).
% 9.36/6.80 tff(31477,plain,
% 9.36/6.80 (~until5(s205)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31448, 31476])).
% 9.36/6.80 tff(31478,plain,
% 9.36/6.80 (~xuntil6(s204)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6642, 31477])).
% 9.36/6.80 tff(31479,assumption,(~always3(s204)), introduced(assumption)).
% 9.36/6.80 tff(31480,plain,
% 9.36/6.80 (~always3(s203)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6680, 31479])).
% 9.36/6.80 tff(31481,plain,
% 9.36/6.80 (~node4(s203)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6684, 22, 31480])).
% 9.36/6.80 tff(31482,plain,
% 9.36/6.80 (xuntil6(s203)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31443, 31481])).
% 9.36/6.80 tff(31483,plain,
% 9.36/6.80 (until5(s204)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6671, 31482])).
% 9.36/6.80 tff(31484,assumption,(~xuntil6(s204)), introduced(assumption)).
% 9.36/6.80 tff(31485,plain,
% 9.36/6.80 (node4(s204) | (~until5(s204))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6662, 36, 31484])).
% 9.36/6.80 tff(31486,plain,
% 9.36/6.80 (node4(s204)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31485, 31483])).
% 9.36/6.80 tff(31487,plain,
% 9.36/6.80 ($false),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6655, 22, 31479, 31486])).
% 9.36/6.80 tff(31488,plain,(always3(s204) | xuntil6(s204) | (~until5(s203))), inference(lemma,lemma(discharge,[]))).
% 9.36/6.80 tff(31489,plain,
% 9.36/6.80 (always3(s204)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31488, 31478, 31435])).
% 9.36/6.80 tff(31490,plain,
% 9.36/6.80 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s204)) | (~m_main_v_state(s204, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s204)) | (~m_main_v_state(s204, c_busy)))),
% 9.36/6.80 inference(rewrite,[status(thm)],[])).
% 9.36/6.80 tff(31491,plain,
% 9.36/6.80 (((~m_main_v_state(s204, c_busy)) | (~always3(s204))) <=> ((~always3(s204)) | (~m_main_v_state(s204, c_busy)))),
% 9.36/6.80 inference(rewrite,[status(thm)],[])).
% 9.36/6.80 tff(31492,plain,
% 9.36/6.80 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s204, c_busy)) | (~always3(s204)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s204)) | (~m_main_v_state(s204, c_busy))))),
% 9.36/6.80 inference(monotonicity,[status(thm)],[31491])).
% 9.36/6.80 tff(31493,plain,
% 9.36/6.80 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s204, c_busy)) | (~always3(s204)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s204)) | (~m_main_v_state(s204, c_busy)))),
% 9.36/6.80 inference(transitivity,[status(thm)],[31492, 31490])).
% 9.36/6.80 tff(31494,plain,
% 9.36/6.80 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s204, c_busy)) | (~always3(s204)))),
% 9.36/6.80 inference(quant_inst,[status(thm)],[])).
% 9.36/6.80 tff(31495,plain,
% 9.36/6.80 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s204)) | (~m_main_v_state(s204, c_busy))),
% 9.36/6.80 inference(modus_ponens,[status(thm)],[31494, 31493])).
% 9.36/6.80 tff(31496,plain,
% 9.36/6.80 (~m_main_v_state(s204, c_busy)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31495, 170, 31489])).
% 9.36/6.80 tff(31497,plain,
% 9.36/6.80 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s204, c_busy) | m_main_v_state(s204, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s204, c_busy) | m_main_v_state(s204, c_ready))),
% 9.36/6.80 inference(rewrite,[status(thm)],[])).
% 9.36/6.80 tff(31498,plain,
% 9.36/6.80 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s204, c_busy) | m_main_v_state(s204, c_ready))),
% 9.36/6.80 inference(quant_inst,[status(thm)],[])).
% 9.36/6.80 tff(31499,plain,
% 9.36/6.80 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s204, c_busy) | m_main_v_state(s204, c_ready)),
% 9.36/6.80 inference(modus_ponens,[status(thm)],[31498, 31497])).
% 9.36/6.80 tff(31500,plain,
% 9.36/6.80 (m_main_v_state(s204, c_ready)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31499, 213, 31496])).
% 9.36/6.80 tff(31501,plain,
% 9.36/6.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s204, s205)) | node2(s204, s205))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s204, s205)) | node2(s204, s205))),
% 9.36/6.80 inference(rewrite,[status(thm)],[])).
% 9.36/6.80 tff(31502,plain,
% 9.36/6.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s204, s205)) | node2(s204, s205))),
% 9.36/6.80 inference(quant_inst,[status(thm)],[])).
% 9.36/6.80 tff(31503,plain,
% 9.36/6.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s204, s205)) | node2(s204, s205)),
% 9.36/6.80 inference(modus_ponens,[status(thm)],[31502, 31501])).
% 9.36/6.80 tff(31504,plain,
% 9.36/6.80 (node2(s204, s205)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31503, 7, 6647])).
% 9.36/6.80 tff(31505,plain,
% 9.36/6.80 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s204, c_ready)) | (~node2(s204, s205)) | m_main_v_state(s205, c_busy) | (~m_main_v_request(s204)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s204, c_ready)) | (~node2(s204, s205)) | m_main_v_state(s205, c_busy) | (~m_main_v_request(s204)))),
% 9.36/6.80 inference(rewrite,[status(thm)],[])).
% 9.36/6.80 tff(31506,plain,
% 9.36/6.80 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s204, c_ready)) | (~node2(s204, s205)) | m_main_v_state(s205, c_busy) | (~m_main_v_request(s204)))),
% 9.36/6.80 inference(quant_inst,[status(thm)],[])).
% 9.36/6.80 tff(31507,plain,
% 9.36/6.80 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s204, c_ready)) | (~node2(s204, s205)) | m_main_v_state(s205, c_busy) | (~m_main_v_request(s204))),
% 9.36/6.80 inference(modus_ponens,[status(thm)],[31506, 31505])).
% 9.36/6.80 tff(31508,plain,
% 9.36/6.80 ((~m_main_v_state(s204, c_ready)) | m_main_v_state(s205, c_busy) | (~m_main_v_request(s204))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31507, 191, 31504])).
% 9.36/6.80 tff(31509,plain,
% 9.36/6.80 (~m_main_v_request(s204)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31508, 31500, 31459])).
% 9.36/6.80 tff(31510,plain,
% 9.36/6.80 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s204) | (~node4(s204)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s204) | (~node4(s204)))),
% 9.36/6.80 inference(rewrite,[status(thm)],[])).
% 9.36/6.80 tff(31511,plain,
% 9.36/6.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s204) | (~node4(s204)))),
% 9.36/6.80 inference(quant_inst,[status(thm)],[])).
% 9.36/6.80 tff(31512,plain,
% 9.36/6.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s204) | (~node4(s204))),
% 9.36/6.80 inference(modus_ponens,[status(thm)],[31511, 31510])).
% 9.36/6.80 tff(31513,plain,
% 9.36/6.80 (~node4(s204)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31512, 154, 31509])).
% 9.36/6.80 tff(31514,plain,
% 9.36/6.80 (node4(s204) | (~until5(s204))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6662, 36, 31478])).
% 9.36/6.80 tff(31515,plain,
% 9.36/6.80 (~until5(s204)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31514, 31513])).
% 9.36/6.80 tff(31516,plain,
% 9.36/6.80 (~xuntil6(s203)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6671, 31515])).
% 9.36/6.80 tff(31517,plain,
% 9.36/6.80 (node4(s203)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31443, 31516])).
% 9.36/6.80 tff(31518,plain,
% 9.36/6.80 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s203) | (~node4(s203)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s203) | (~node4(s203)))),
% 9.36/6.80 inference(rewrite,[status(thm)],[])).
% 9.36/6.80 tff(31519,plain,
% 9.36/6.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s203) | (~node4(s203)))),
% 9.36/6.80 inference(quant_inst,[status(thm)],[])).
% 9.36/6.80 tff(31520,plain,
% 9.36/6.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s203) | (~node4(s203))),
% 9.36/6.80 inference(modus_ponens,[status(thm)],[31519, 31518])).
% 9.36/6.80 tff(31521,plain,
% 9.36/6.80 (m_main_v_request(s203)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31520, 154, 31517])).
% 9.36/6.80 tff(31522,plain,
% 9.36/6.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s203, s204)) | node2(s203, s204))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s203, s204)) | node2(s203, s204))),
% 9.36/6.80 inference(rewrite,[status(thm)],[])).
% 9.36/6.80 tff(31523,plain,
% 9.36/6.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s203, s204)) | node2(s203, s204))),
% 9.36/6.80 inference(quant_inst,[status(thm)],[])).
% 9.36/6.80 tff(31524,plain,
% 9.36/6.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s203, s204)) | node2(s203, s204)),
% 9.36/6.80 inference(modus_ponens,[status(thm)],[31523, 31522])).
% 9.36/6.80 tff(31525,plain,
% 9.36/6.80 (node2(s203, s204)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31524, 7, 6676])).
% 9.36/6.80 tff(31526,plain,
% 9.36/6.80 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s203, c_ready)) | (~node2(s203, s204)) | m_main_v_state(s204, c_busy) | (~m_main_v_request(s203)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s203, c_ready)) | (~node2(s203, s204)) | m_main_v_state(s204, c_busy) | (~m_main_v_request(s203)))),
% 9.36/6.80 inference(rewrite,[status(thm)],[])).
% 9.36/6.80 tff(31527,plain,
% 9.36/6.80 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s203, c_ready)) | (~node2(s203, s204)) | m_main_v_state(s204, c_busy) | (~m_main_v_request(s203)))),
% 9.36/6.80 inference(quant_inst,[status(thm)],[])).
% 9.36/6.80 tff(31528,plain,
% 9.36/6.80 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s203, c_ready)) | (~node2(s203, s204)) | m_main_v_state(s204, c_busy) | (~m_main_v_request(s203))),
% 9.36/6.80 inference(modus_ponens,[status(thm)],[31527, 31526])).
% 9.36/6.80 tff(31529,plain,
% 9.36/6.80 ((~m_main_v_state(s203, c_ready)) | m_main_v_state(s204, c_busy) | (~m_main_v_request(s203))),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31528, 191, 31525])).
% 9.36/6.80 tff(31530,plain,
% 9.36/6.80 (~m_main_v_state(s203, c_ready)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31529, 31521, 31496])).
% 9.36/6.80 tff(31531,plain,
% 9.36/6.80 (always3(s203)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6684, 22, 31517])).
% 9.36/6.80 tff(31532,plain,
% 9.36/6.80 (~m_main_v_state(s203, c_busy)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31074, 170, 31531])).
% 9.36/6.80 tff(31533,plain,
% 9.36/6.80 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s203, c_busy) | m_main_v_state(s203, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s203, c_busy) | m_main_v_state(s203, c_ready))),
% 9.36/6.80 inference(rewrite,[status(thm)],[])).
% 9.36/6.80 tff(31534,plain,
% 9.36/6.80 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s203, c_busy) | m_main_v_state(s203, c_ready))),
% 9.36/6.80 inference(quant_inst,[status(thm)],[])).
% 9.36/6.80 tff(31535,plain,
% 9.36/6.80 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s203, c_busy) | m_main_v_state(s203, c_ready)),
% 9.36/6.80 inference(modus_ponens,[status(thm)],[31534, 31533])).
% 9.36/6.80 tff(31536,plain,
% 9.36/6.80 ($false),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31535, 213, 31532, 31530])).
% 9.36/6.80 tff(31537,plain,((~until5(s203)) | xuntil6(s205) | m_main_v_state(s206, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.36/6.80 tff(31538,plain,
% 9.36/6.80 (xuntil6(s205)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[31537, 31430, 31435])).
% 9.36/6.80 tff(31539,plain,
% 9.36/6.80 (until5(s206)),
% 9.36/6.80 inference(unit_resolution,[status(thm)],[6613, 31538])).
% 9.36/6.81 tff(31540,plain,
% 9.36/6.81 (node4(s206)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31253, 31539])).
% 9.36/6.81 tff(31541,plain,
% 9.36/6.81 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s206) | (~node4(s206)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s206) | (~node4(s206)))),
% 9.36/6.81 inference(rewrite,[status(thm)],[])).
% 9.36/6.81 tff(31542,plain,
% 9.36/6.81 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s206) | (~node4(s206)))),
% 9.36/6.81 inference(quant_inst,[status(thm)],[])).
% 9.36/6.81 tff(31543,plain,
% 9.36/6.81 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s206) | (~node4(s206))),
% 9.36/6.81 inference(modus_ponens,[status(thm)],[31542, 31541])).
% 9.36/6.81 tff(31544,plain,
% 9.36/6.81 (m_main_v_request(s206)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31543, 154, 31540])).
% 9.36/6.81 tff(31545,plain,
% 9.36/6.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s206, s207)) | node2(s206, s207))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s206, s207)) | node2(s206, s207))),
% 9.36/6.81 inference(rewrite,[status(thm)],[])).
% 9.36/6.81 tff(31546,plain,
% 9.36/6.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s206, s207)) | node2(s206, s207))),
% 9.36/6.81 inference(quant_inst,[status(thm)],[])).
% 9.36/6.81 tff(31547,plain,
% 9.36/6.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s206, s207)) | node2(s206, s207)),
% 9.36/6.81 inference(modus_ponens,[status(thm)],[31546, 31545])).
% 9.36/6.81 tff(31548,plain,
% 9.36/6.81 (node2(s206, s207)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31547, 7, 6589])).
% 9.36/6.81 tff(31549,plain,
% 9.36/6.81 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s206, c_ready)) | (~node2(s206, s207)) | m_main_v_state(s207, c_busy) | (~m_main_v_request(s206)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s206, c_ready)) | (~node2(s206, s207)) | m_main_v_state(s207, c_busy) | (~m_main_v_request(s206)))),
% 9.36/6.81 inference(rewrite,[status(thm)],[])).
% 9.36/6.81 tff(31550,plain,
% 9.36/6.81 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s206, c_ready)) | (~node2(s206, s207)) | m_main_v_state(s207, c_busy) | (~m_main_v_request(s206)))),
% 9.36/6.81 inference(quant_inst,[status(thm)],[])).
% 9.36/6.81 tff(31551,plain,
% 9.36/6.81 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s206, c_ready)) | (~node2(s206, s207)) | m_main_v_state(s207, c_busy) | (~m_main_v_request(s206))),
% 9.36/6.81 inference(modus_ponens,[status(thm)],[31550, 31549])).
% 9.36/6.81 tff(31552,plain,
% 9.36/6.81 ((~m_main_v_state(s206, c_ready)) | m_main_v_state(s207, c_busy) | (~m_main_v_request(s206))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31551, 191, 31548])).
% 9.36/6.81 tff(31553,plain,
% 9.36/6.81 ($false),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31552, 31544, 31434, 31423])).
% 9.36/6.81 tff(31554,plain,(xuntil6(s206) | (~until5(s203))), inference(lemma,lemma(discharge,[]))).
% 9.36/6.81 tff(31555,plain,
% 9.36/6.81 (xuntil6(s206)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31554, 31247])).
% 9.36/6.81 tff(31556,plain,
% 9.36/6.81 (until5(s207)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6584, 31555])).
% 9.36/6.81 tff(31557,assumption,(~xuntil6(s209)), introduced(assumption)).
% 9.36/6.81 tff(31558,assumption,(~always3(s209)), introduced(assumption)).
% 9.36/6.81 tff(31559,plain,
% 9.36/6.81 (~always3(s208)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6535, 31558])).
% 9.36/6.81 tff(31560,plain,
% 9.36/6.81 (~node4(s208)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6539, 22, 31559])).
% 9.36/6.81 tff(31561,plain,
% 9.36/6.81 (~node4(s209)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6510, 22, 31558])).
% 9.36/6.81 tff(31562,plain,
% 9.36/6.81 (node4(s209) | (~until5(s209))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6517, 36, 31557])).
% 9.36/6.81 tff(31563,plain,
% 9.36/6.81 (~until5(s209)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31562, 31561])).
% 9.36/6.81 tff(31564,plain,
% 9.36/6.81 (~xuntil6(s208)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6526, 31563])).
% 9.36/6.81 tff(31565,plain,
% 9.36/6.81 (~until5(s208)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6546, 36, 31564, 31560])).
% 9.36/6.81 tff(31566,plain,
% 9.36/6.81 (~xuntil6(s207)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6555, 31565])).
% 9.36/6.81 tff(31567,plain,
% 9.36/6.81 (~always3(s207)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6564, 31559])).
% 9.36/6.81 tff(31568,plain,
% 9.36/6.81 (~node4(s207)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6568, 22, 31567])).
% 9.36/6.81 tff(31569,plain,
% 9.36/6.81 (xuntil6(s207) | (~until5(s207))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6575, 36, 31568])).
% 9.36/6.81 tff(31570,plain,
% 9.36/6.81 (~until5(s207)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31569, 31566])).
% 9.36/6.81 tff(31571,plain,
% 9.36/6.81 (~xuntil6(s206)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6584, 31570])).
% 9.36/6.81 tff(31572,plain,
% 9.36/6.81 (~always3(s206)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6593, 31567])).
% 9.36/6.81 tff(31573,plain,
% 9.36/6.81 (~node4(s206)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6597, 22, 31572])).
% 9.36/6.81 tff(31574,plain,
% 9.36/6.81 (xuntil6(s206) | (~until5(s206))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6604, 36, 31573])).
% 9.36/6.81 tff(31575,plain,
% 9.36/6.81 (~until5(s206)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31574, 31571])).
% 9.36/6.81 tff(31576,plain,
% 9.36/6.81 (~xuntil6(s205)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6613, 31575])).
% 9.36/6.81 tff(31577,plain,
% 9.36/6.81 (~always3(s205)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6622, 31572])).
% 9.36/6.81 tff(31578,plain,
% 9.36/6.81 (~node4(s205)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6626, 22, 31577])).
% 9.36/6.81 tff(31579,plain,
% 9.36/6.81 (xuntil6(s205) | (~until5(s205))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6633, 36, 31578])).
% 9.36/6.81 tff(31580,plain,
% 9.36/6.81 (~until5(s205)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31579, 31576])).
% 9.36/6.81 tff(31581,plain,
% 9.36/6.81 (~xuntil6(s204)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6642, 31580])).
% 9.36/6.81 tff(31582,plain,
% 9.36/6.81 (~always3(s204)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6651, 31577])).
% 9.36/6.81 tff(31583,plain,
% 9.36/6.81 (~node4(s204)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6655, 22, 31582])).
% 9.36/6.81 tff(31584,plain,
% 9.36/6.81 (xuntil6(s204) | (~until5(s204))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6662, 36, 31583])).
% 9.36/6.81 tff(31585,plain,
% 9.36/6.81 (~until5(s204)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31584, 31581])).
% 9.36/6.81 tff(31586,plain,
% 9.36/6.81 (~xuntil6(s203)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6671, 31585])).
% 9.36/6.81 tff(31587,plain,
% 9.36/6.81 (~always3(s203)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6680, 31582])).
% 9.36/6.81 tff(31588,plain,
% 9.36/6.81 (~node4(s203)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6684, 22, 31587])).
% 9.36/6.81 tff(31589,plain,
% 9.36/6.81 (xuntil6(s203) | (~until5(s203))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6691, 36, 31588])).
% 9.36/6.81 tff(31590,plain,
% 9.36/6.81 (~until5(s203)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31589, 31586])).
% 9.36/6.81 tff(31591,plain,
% 9.36/6.81 (~xuntil6(s202)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6700, 31590])).
% 9.36/6.81 tff(31592,plain,
% 9.36/6.81 (~always3(s202)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6709, 31587])).
% 9.36/6.81 tff(31593,plain,
% 9.36/6.81 (~node4(s202)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6713, 22, 31592])).
% 9.36/6.81 tff(31594,plain,
% 9.36/6.81 (xuntil6(s202) | (~until5(s202))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6720, 36, 31593])).
% 9.36/6.81 tff(31595,plain,
% 9.36/6.81 (~until5(s202)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31594, 31591])).
% 9.36/6.81 tff(31596,plain,
% 9.36/6.81 (~xuntil6(s201)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6729, 31595])).
% 9.36/6.81 tff(31597,plain,
% 9.36/6.81 (~always3(s201)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6738, 31592])).
% 9.36/6.81 tff(31598,plain,
% 9.36/6.81 (~node4(s201)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6742, 22, 31597])).
% 9.36/6.81 tff(31599,plain,
% 9.36/6.81 (xuntil6(s201) | (~until5(s201))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6749, 36, 31598])).
% 9.36/6.81 tff(31600,plain,
% 9.36/6.81 (~until5(s201)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31599, 31596])).
% 9.36/6.81 tff(31601,plain,
% 9.36/6.81 (~xuntil6(s200)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6758, 31600])).
% 9.36/6.81 tff(31602,plain,
% 9.36/6.81 (~always3(s200)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6767, 31597])).
% 9.36/6.81 tff(31603,plain,
% 9.36/6.81 (~node4(s200)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6771, 22, 31602])).
% 9.36/6.81 tff(31604,plain,
% 9.36/6.81 (xuntil6(s200) | (~until5(s200))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6778, 36, 31603])).
% 9.36/6.81 tff(31605,plain,
% 9.36/6.81 (~until5(s200)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31604, 31601])).
% 9.36/6.81 tff(31606,plain,
% 9.36/6.81 (~xuntil6(s199)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6787, 31605])).
% 9.36/6.81 tff(31607,plain,
% 9.36/6.81 (~always3(s199)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6796, 31602])).
% 9.36/6.81 tff(31608,plain,
% 9.36/6.81 (~node4(s199)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6800, 22, 31607])).
% 9.36/6.81 tff(31609,plain,
% 9.36/6.81 (xuntil6(s199) | (~until5(s199))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6807, 36, 31608])).
% 9.36/6.81 tff(31610,plain,
% 9.36/6.81 (~until5(s199)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31609, 31606])).
% 9.36/6.81 tff(31611,plain,
% 9.36/6.81 (~xuntil6(s198)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6816, 31610])).
% 9.36/6.81 tff(31612,plain,
% 9.36/6.81 (~always3(s198)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6825, 31607])).
% 9.36/6.81 tff(31613,plain,
% 9.36/6.81 (~node4(s198)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6829, 22, 31612])).
% 9.36/6.81 tff(31614,plain,
% 9.36/6.81 (xuntil6(s198) | (~until5(s198))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6836, 36, 31613])).
% 9.36/6.81 tff(31615,plain,
% 9.36/6.81 (~until5(s198)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31614, 31611])).
% 9.36/6.81 tff(31616,plain,
% 9.36/6.81 (~xuntil6(s197)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6845, 31615])).
% 9.36/6.81 tff(31617,plain,
% 9.36/6.81 (~always3(s197)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6854, 31612])).
% 9.36/6.81 tff(31618,plain,
% 9.36/6.81 (~node4(s197)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6858, 22, 31617])).
% 9.36/6.81 tff(31619,plain,
% 9.36/6.81 (xuntil6(s197) | (~until5(s197))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6865, 36, 31618])).
% 9.36/6.81 tff(31620,plain,
% 9.36/6.81 (~until5(s197)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31619, 31616])).
% 9.36/6.81 tff(31621,plain,
% 9.36/6.81 (~xuntil6(s196)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6874, 31620])).
% 9.36/6.81 tff(31622,plain,
% 9.36/6.81 (~always3(s196)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6883, 31617])).
% 9.36/6.81 tff(31623,plain,
% 9.36/6.81 (~node4(s196)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6887, 22, 31622])).
% 9.36/6.81 tff(31624,plain,
% 9.36/6.81 (xuntil6(s196) | (~until5(s196))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6894, 36, 31623])).
% 9.36/6.81 tff(31625,plain,
% 9.36/6.81 (~until5(s196)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31624, 31621])).
% 9.36/6.81 tff(31626,plain,
% 9.36/6.81 (~xuntil6(s195)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6903, 31625])).
% 9.36/6.81 tff(31627,plain,
% 9.36/6.81 (~always3(s195)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6912, 31622])).
% 9.36/6.81 tff(31628,plain,
% 9.36/6.81 (~node4(s195)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6916, 22, 31627])).
% 9.36/6.81 tff(31629,plain,
% 9.36/6.81 (xuntil6(s195) | (~until5(s195))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6923, 36, 31628])).
% 9.36/6.81 tff(31630,plain,
% 9.36/6.81 (~until5(s195)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31629, 31626])).
% 9.36/6.81 tff(31631,plain,
% 9.36/6.81 (~xuntil6(s194)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6932, 31630])).
% 9.36/6.81 tff(31632,plain,
% 9.36/6.81 (~always3(s194)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6941, 31627])).
% 9.36/6.81 tff(31633,plain,
% 9.36/6.81 (~node4(s194)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6945, 22, 31632])).
% 9.36/6.81 tff(31634,plain,
% 9.36/6.81 (xuntil6(s194) | (~until5(s194))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6952, 36, 31633])).
% 9.36/6.81 tff(31635,plain,
% 9.36/6.81 (~until5(s194)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31634, 31631])).
% 9.36/6.81 tff(31636,plain,
% 9.36/6.81 (~xuntil6(s193)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6961, 31635])).
% 9.36/6.81 tff(31637,plain,
% 9.36/6.81 (~always3(s193)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6970, 31632])).
% 9.36/6.81 tff(31638,plain,
% 9.36/6.81 (~node4(s193)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6974, 22, 31637])).
% 9.36/6.81 tff(31639,plain,
% 9.36/6.81 (xuntil6(s193) | (~until5(s193))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6981, 36, 31638])).
% 9.36/6.81 tff(31640,plain,
% 9.36/6.81 (~until5(s193)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31639, 31636])).
% 9.36/6.81 tff(31641,plain,
% 9.36/6.81 (~xuntil6(s192)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6990, 31640])).
% 9.36/6.81 tff(31642,plain,
% 9.36/6.81 (~always3(s192)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6999, 31637])).
% 9.36/6.81 tff(31643,plain,
% 9.36/6.81 (~node4(s192)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7003, 22, 31642])).
% 9.36/6.81 tff(31644,plain,
% 9.36/6.81 (xuntil6(s192) | (~until5(s192))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7010, 36, 31643])).
% 9.36/6.81 tff(31645,plain,
% 9.36/6.81 (~until5(s192)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31644, 31641])).
% 9.36/6.81 tff(31646,plain,
% 9.36/6.81 (~always3(s191)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7028, 31642])).
% 9.36/6.81 tff(31647,plain,
% 9.36/6.81 (~always3(s190)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7057, 31646])).
% 9.36/6.81 tff(31648,plain,
% 9.36/6.81 (~always3(s189)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7086, 31647])).
% 9.36/6.81 tff(31649,plain,
% 9.36/6.81 (~always3(s188)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7115, 31648])).
% 9.36/6.81 tff(31650,plain,
% 9.36/6.81 (~always3(s187)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7144, 31649])).
% 9.36/6.81 tff(31651,plain,
% 9.36/6.81 (~always3(s186)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7173, 31650])).
% 9.36/6.81 tff(31652,plain,
% 9.36/6.81 (~always3(s185)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7202, 31651])).
% 9.36/6.81 tff(31653,plain,
% 9.36/6.81 (~always3(s184)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7231, 31652])).
% 9.36/6.81 tff(31654,plain,
% 9.36/6.81 (~always3(s183)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7260, 31653])).
% 9.36/6.81 tff(31655,plain,
% 9.36/6.81 (~always3(s182)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7289, 31654])).
% 9.36/6.81 tff(31656,plain,
% 9.36/6.81 (~always3(s181)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7318, 31655])).
% 9.36/6.81 tff(31657,plain,
% 9.36/6.81 (~always3(s180)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7347, 31656])).
% 9.36/6.81 tff(31658,plain,
% 9.36/6.81 (~always3(s179)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7376, 31657])).
% 9.36/6.81 tff(31659,plain,
% 9.36/6.81 (~always3(s178)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7405, 31658])).
% 9.36/6.81 tff(31660,plain,
% 9.36/6.81 (~always3(s177)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7434, 31659])).
% 9.36/6.81 tff(31661,plain,
% 9.36/6.81 (~always3(s176)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7463, 31660])).
% 9.36/6.81 tff(31662,plain,
% 9.36/6.81 (~always3(s175)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7492, 31661])).
% 9.36/6.81 tff(31663,plain,
% 9.36/6.81 (~node4(s175)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7496, 22, 31662])).
% 9.36/6.81 tff(31664,plain,
% 9.36/6.81 (~always3(s174)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7521, 31662])).
% 9.36/6.81 tff(31665,plain,
% 9.36/6.81 (~node4(s174)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7525, 22, 31664])).
% 9.36/6.81 tff(31666,plain,
% 9.36/6.81 (~always3(s173)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7550, 31664])).
% 9.36/6.81 tff(31667,plain,
% 9.36/6.81 (xuntil6(s173)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[29489, 31666])).
% 9.36/6.81 tff(31668,plain,
% 9.36/6.81 (until5(s174)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7541, 31667])).
% 9.36/6.81 tff(31669,plain,
% 9.36/6.81 (xuntil6(s174) | node4(s174)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7532, 36, 31668])).
% 9.36/6.81 tff(31670,plain,
% 9.36/6.81 (xuntil6(s174)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31669, 31665])).
% 9.36/6.81 tff(31671,plain,
% 9.36/6.81 (until5(s175)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7512, 31670])).
% 9.36/6.81 tff(31672,plain,
% 9.36/6.81 (xuntil6(s175)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7503, 36, 31671, 31663])).
% 9.36/6.81 tff(31673,plain,
% 9.36/6.81 (until5(s176)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7483, 31672])).
% 9.36/6.81 tff(31674,plain,
% 9.36/6.81 (~node4(s176)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7467, 22, 31661])).
% 9.36/6.81 tff(31675,plain,
% 9.36/6.81 (xuntil6(s176) | (~until5(s176))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7474, 36, 31674])).
% 9.36/6.81 tff(31676,plain,
% 9.36/6.81 (xuntil6(s176)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31675, 31673])).
% 9.36/6.81 tff(31677,plain,
% 9.36/6.81 (until5(s177)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7454, 31676])).
% 9.36/6.81 tff(31678,plain,
% 9.36/6.81 (~node4(s177)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7438, 22, 31660])).
% 9.36/6.81 tff(31679,plain,
% 9.36/6.81 (xuntil6(s177) | (~until5(s177))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7445, 36, 31678])).
% 9.36/6.81 tff(31680,plain,
% 9.36/6.81 (xuntil6(s177)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31679, 31677])).
% 9.36/6.81 tff(31681,plain,
% 9.36/6.81 (until5(s178)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7425, 31680])).
% 9.36/6.81 tff(31682,plain,
% 9.36/6.81 (~node4(s178)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7409, 22, 31659])).
% 9.36/6.81 tff(31683,plain,
% 9.36/6.81 (xuntil6(s178) | (~until5(s178))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7416, 36, 31682])).
% 9.36/6.81 tff(31684,plain,
% 9.36/6.81 (xuntil6(s178)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31683, 31681])).
% 9.36/6.81 tff(31685,plain,
% 9.36/6.81 (until5(s179)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7396, 31684])).
% 9.36/6.81 tff(31686,plain,
% 9.36/6.81 (~node4(s179)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7380, 22, 31658])).
% 9.36/6.81 tff(31687,plain,
% 9.36/6.81 (xuntil6(s179) | (~until5(s179))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7387, 36, 31686])).
% 9.36/6.81 tff(31688,plain,
% 9.36/6.81 (xuntil6(s179)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31687, 31685])).
% 9.36/6.81 tff(31689,plain,
% 9.36/6.81 (until5(s180)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7367, 31688])).
% 9.36/6.81 tff(31690,plain,
% 9.36/6.81 (~node4(s180)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7351, 22, 31657])).
% 9.36/6.81 tff(31691,plain,
% 9.36/6.81 (xuntil6(s180) | (~until5(s180))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7358, 36, 31690])).
% 9.36/6.81 tff(31692,plain,
% 9.36/6.81 (xuntil6(s180)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31691, 31689])).
% 9.36/6.81 tff(31693,plain,
% 9.36/6.81 (until5(s181)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7338, 31692])).
% 9.36/6.81 tff(31694,plain,
% 9.36/6.81 (~node4(s181)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7322, 22, 31656])).
% 9.36/6.81 tff(31695,plain,
% 9.36/6.81 (xuntil6(s181) | (~until5(s181))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7329, 36, 31694])).
% 9.36/6.81 tff(31696,plain,
% 9.36/6.81 (xuntil6(s181)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31695, 31693])).
% 9.36/6.81 tff(31697,plain,
% 9.36/6.81 (until5(s182)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7309, 31696])).
% 9.36/6.81 tff(31698,plain,
% 9.36/6.81 (~node4(s182)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7293, 22, 31655])).
% 9.36/6.81 tff(31699,plain,
% 9.36/6.81 (xuntil6(s182) | (~until5(s182))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7300, 36, 31698])).
% 9.36/6.81 tff(31700,plain,
% 9.36/6.81 (xuntil6(s182)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31699, 31697])).
% 9.36/6.81 tff(31701,plain,
% 9.36/6.81 (until5(s183)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7280, 31700])).
% 9.36/6.81 tff(31702,plain,
% 9.36/6.81 (~node4(s183)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7264, 22, 31654])).
% 9.36/6.81 tff(31703,plain,
% 9.36/6.81 (xuntil6(s183) | (~until5(s183))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7271, 36, 31702])).
% 9.36/6.81 tff(31704,plain,
% 9.36/6.81 (xuntil6(s183)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31703, 31701])).
% 9.36/6.81 tff(31705,plain,
% 9.36/6.81 (until5(s184)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7251, 31704])).
% 9.36/6.81 tff(31706,plain,
% 9.36/6.81 (~node4(s184)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7235, 22, 31653])).
% 9.36/6.81 tff(31707,plain,
% 9.36/6.81 (xuntil6(s184) | (~until5(s184))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7242, 36, 31706])).
% 9.36/6.81 tff(31708,plain,
% 9.36/6.81 (xuntil6(s184)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31707, 31705])).
% 9.36/6.81 tff(31709,plain,
% 9.36/6.81 (until5(s185)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7222, 31708])).
% 9.36/6.81 tff(31710,plain,
% 9.36/6.81 (~node4(s185)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7206, 22, 31652])).
% 9.36/6.81 tff(31711,plain,
% 9.36/6.81 (xuntil6(s185) | (~until5(s185))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7213, 36, 31710])).
% 9.36/6.81 tff(31712,plain,
% 9.36/6.81 (xuntil6(s185)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31711, 31709])).
% 9.36/6.81 tff(31713,plain,
% 9.36/6.81 (until5(s186)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7193, 31712])).
% 9.36/6.81 tff(31714,plain,
% 9.36/6.81 (~node4(s186)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7177, 22, 31651])).
% 9.36/6.81 tff(31715,plain,
% 9.36/6.81 (xuntil6(s186) | (~until5(s186))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7184, 36, 31714])).
% 9.36/6.81 tff(31716,plain,
% 9.36/6.81 (xuntil6(s186)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31715, 31713])).
% 9.36/6.81 tff(31717,plain,
% 9.36/6.81 (until5(s187)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7164, 31716])).
% 9.36/6.81 tff(31718,plain,
% 9.36/6.81 (~node4(s187)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7148, 22, 31650])).
% 9.36/6.81 tff(31719,plain,
% 9.36/6.81 (xuntil6(s187) | (~until5(s187))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7155, 36, 31718])).
% 9.36/6.81 tff(31720,plain,
% 9.36/6.81 (xuntil6(s187)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31719, 31717])).
% 9.36/6.81 tff(31721,plain,
% 9.36/6.81 (until5(s188)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7135, 31720])).
% 9.36/6.81 tff(31722,plain,
% 9.36/6.81 (~node4(s188)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7119, 22, 31649])).
% 9.36/6.81 tff(31723,plain,
% 9.36/6.81 (xuntil6(s188) | (~until5(s188))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7126, 36, 31722])).
% 9.36/6.81 tff(31724,plain,
% 9.36/6.81 (xuntil6(s188)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31723, 31721])).
% 9.36/6.81 tff(31725,plain,
% 9.36/6.81 (until5(s189)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7106, 31724])).
% 9.36/6.81 tff(31726,plain,
% 9.36/6.81 (~node4(s189)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7090, 22, 31648])).
% 9.36/6.81 tff(31727,plain,
% 9.36/6.81 (xuntil6(s189) | (~until5(s189))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7097, 36, 31726])).
% 9.36/6.81 tff(31728,plain,
% 9.36/6.81 (xuntil6(s189)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31727, 31725])).
% 9.36/6.81 tff(31729,plain,
% 9.36/6.81 (until5(s190)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7077, 31728])).
% 9.36/6.81 tff(31730,plain,
% 9.36/6.81 (~node4(s190)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7061, 22, 31647])).
% 9.36/6.81 tff(31731,plain,
% 9.36/6.81 (xuntil6(s190) | (~until5(s190))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7068, 36, 31730])).
% 9.36/6.81 tff(31732,plain,
% 9.36/6.81 (xuntil6(s190)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31731, 31729])).
% 9.36/6.81 tff(31733,plain,
% 9.36/6.81 (until5(s191)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7048, 31732])).
% 9.36/6.81 tff(31734,plain,
% 9.36/6.81 (~node4(s191)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7032, 22, 31646])).
% 9.36/6.81 tff(31735,plain,
% 9.36/6.81 (xuntil6(s191) | (~until5(s191))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7039, 36, 31734])).
% 9.36/6.81 tff(31736,plain,
% 9.36/6.81 (xuntil6(s191)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31735, 31733])).
% 9.36/6.81 tff(31737,plain,
% 9.36/6.81 ($false),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[7019, 31736, 31645])).
% 9.36/6.81 tff(31738,plain,(always3(s209) | xuntil6(s209)), inference(lemma,lemma(discharge,[]))).
% 9.36/6.81 tff(31739,plain,
% 9.36/6.81 (always3(s209)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31738, 31557])).
% 9.36/6.81 tff(31740,plain,
% 9.36/6.81 (always3(s210)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6506, 31739])).
% 9.36/6.81 tff(31741,plain,
% 9.36/6.81 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s210)) | (~m_main_v_state(s210, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s210)) | (~m_main_v_state(s210, c_busy)))),
% 9.36/6.81 inference(rewrite,[status(thm)],[])).
% 9.36/6.81 tff(31742,plain,
% 9.36/6.81 (((~m_main_v_state(s210, c_busy)) | (~always3(s210))) <=> ((~always3(s210)) | (~m_main_v_state(s210, c_busy)))),
% 9.36/6.81 inference(rewrite,[status(thm)],[])).
% 9.36/6.81 tff(31743,plain,
% 9.36/6.81 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s210, c_busy)) | (~always3(s210)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s210)) | (~m_main_v_state(s210, c_busy))))),
% 9.36/6.81 inference(monotonicity,[status(thm)],[31742])).
% 9.36/6.81 tff(31744,plain,
% 9.36/6.81 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s210, c_busy)) | (~always3(s210)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s210)) | (~m_main_v_state(s210, c_busy)))),
% 9.36/6.81 inference(transitivity,[status(thm)],[31743, 31741])).
% 9.36/6.81 tff(31745,plain,
% 9.36/6.81 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s210, c_busy)) | (~always3(s210)))),
% 9.36/6.81 inference(quant_inst,[status(thm)],[])).
% 9.36/6.81 tff(31746,plain,
% 9.36/6.81 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s210)) | (~m_main_v_state(s210, c_busy))),
% 9.36/6.81 inference(modus_ponens,[status(thm)],[31745, 31744])).
% 9.36/6.81 tff(31747,plain,
% 9.36/6.81 (~m_main_v_state(s210, c_busy)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31746, 170, 31740])).
% 9.36/6.81 tff(31748,plain,
% 9.36/6.81 (((~![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)))),
% 9.36/6.81 inference(rewrite,[status(thm)],[])).
% 9.36/6.81 tff(31749,plain,
% 9.36/6.81 (((~m_main_v_state(s209, c_busy)) | (~always3(s209))) <=> ((~always3(s209)) | (~m_main_v_state(s209, c_busy)))),
% 9.36/6.81 inference(rewrite,[status(thm)],[])).
% 9.36/6.81 tff(31750,plain,
% 9.36/6.81 (((~![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))))),
% 9.36/6.81 inference(monotonicity,[status(thm)],[31749])).
% 9.36/6.81 tff(31751,plain,
% 9.36/6.81 (((~![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)))),
% 9.36/6.81 inference(transitivity,[status(thm)],[31750, 31748])).
% 9.36/6.81 tff(31752,plain,
% 9.36/6.81 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s209, c_busy)) | (~always3(s209)))),
% 9.36/6.81 inference(quant_inst,[status(thm)],[])).
% 9.36/6.81 tff(31753,plain,
% 9.36/6.81 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s209)) | (~m_main_v_state(s209, c_busy))),
% 9.36/6.81 inference(modus_ponens,[status(thm)],[31752, 31751])).
% 9.36/6.81 tff(31754,plain,
% 9.36/6.81 (~m_main_v_state(s209, c_busy)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31753, 170, 31739])).
% 9.36/6.81 tff(31755,plain,
% 9.36/6.81 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s209, c_busy) | m_main_v_state(s209, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s209, c_busy) | m_main_v_state(s209, c_ready))),
% 9.36/6.81 inference(rewrite,[status(thm)],[])).
% 9.36/6.81 tff(31756,plain,
% 9.36/6.81 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s209, c_busy) | m_main_v_state(s209, c_ready))),
% 9.36/6.81 inference(quant_inst,[status(thm)],[])).
% 9.36/6.81 tff(31757,plain,
% 9.36/6.81 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s209, c_busy) | m_main_v_state(s209, c_ready)),
% 9.36/6.81 inference(modus_ponens,[status(thm)],[31756, 31755])).
% 9.36/6.81 tff(31758,plain,
% 9.36/6.81 (m_main_v_state(s209, c_ready)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31757, 213, 31754])).
% 9.36/6.81 tff(31759,assumption,(until5(s207)), introduced(assumption)).
% 9.36/6.81 tff(31760,assumption,(~xuntil6(s208)), introduced(assumption)).
% 9.36/6.81 tff(31761,assumption,(~always3(s208)), introduced(assumption)).
% 9.36/6.81 tff(31762,plain,
% 9.36/6.81 (~always3(s207)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6564, 31761])).
% 9.36/6.81 tff(31763,plain,
% 9.36/6.81 (~node4(s207)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6568, 22, 31762])).
% 9.36/6.81 tff(31764,plain,
% 9.36/6.81 (xuntil6(s207) | node4(s207)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6575, 36, 31759])).
% 9.36/6.81 tff(31765,plain,
% 9.36/6.81 (xuntil6(s207)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31764, 31763])).
% 9.36/6.81 tff(31766,plain,
% 9.36/6.81 (until5(s208)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6555, 31765])).
% 9.36/6.81 tff(31767,plain,
% 9.36/6.81 (node4(s208) | (~until5(s208))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6546, 36, 31760])).
% 9.36/6.81 tff(31768,plain,
% 9.36/6.81 (node4(s208)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31767, 31766])).
% 9.36/6.81 tff(31769,plain,
% 9.36/6.81 ($false),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6539, 22, 31761, 31768])).
% 9.36/6.81 tff(31770,plain,(always3(s208) | xuntil6(s208) | (~until5(s207))), inference(lemma,lemma(discharge,[]))).
% 9.36/6.81 tff(31771,plain,
% 9.36/6.81 (always3(s208)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31770, 31759, 31760])).
% 9.36/6.81 tff(31772,plain,
% 9.36/6.81 (((~![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)))),
% 9.36/6.81 inference(rewrite,[status(thm)],[])).
% 9.36/6.81 tff(31773,plain,
% 9.36/6.81 (((~m_main_v_state(s208, c_busy)) | (~always3(s208))) <=> ((~always3(s208)) | (~m_main_v_state(s208, c_busy)))),
% 9.36/6.81 inference(rewrite,[status(thm)],[])).
% 9.36/6.81 tff(31774,plain,
% 9.36/6.81 (((~![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))))),
% 9.36/6.81 inference(monotonicity,[status(thm)],[31773])).
% 9.36/6.81 tff(31775,plain,
% 9.36/6.81 (((~![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)))),
% 9.36/6.81 inference(transitivity,[status(thm)],[31774, 31772])).
% 9.36/6.81 tff(31776,plain,
% 9.36/6.81 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s208, c_busy)) | (~always3(s208)))),
% 9.36/6.81 inference(quant_inst,[status(thm)],[])).
% 9.36/6.81 tff(31777,plain,
% 9.36/6.81 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s208)) | (~m_main_v_state(s208, c_busy))),
% 9.36/6.81 inference(modus_ponens,[status(thm)],[31776, 31775])).
% 9.36/6.81 tff(31778,plain,
% 9.36/6.81 (~m_main_v_state(s208, c_busy)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31777, 170, 31771])).
% 9.36/6.81 tff(31779,assumption,(~m_main_v_state(s209, c_busy)), introduced(assumption)).
% 9.36/6.81 tff(31780,plain,
% 9.36/6.81 (((~![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))),
% 9.36/6.81 inference(rewrite,[status(thm)],[])).
% 9.36/6.81 tff(31781,plain,
% 9.36/6.81 ((~![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))),
% 9.36/6.81 inference(quant_inst,[status(thm)],[])).
% 9.36/6.81 tff(31782,plain,
% 9.36/6.81 ((~![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)),
% 9.36/6.81 inference(modus_ponens,[status(thm)],[31781, 31780])).
% 9.36/6.81 tff(31783,plain,
% 9.36/6.81 (m_main_v_state(s208, c_ready)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31782, 213, 31778])).
% 9.36/6.81 tff(31784,plain,
% 9.36/6.81 (((~![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))),
% 9.36/6.81 inference(rewrite,[status(thm)],[])).
% 9.36/6.81 tff(31785,plain,
% 9.36/6.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s208, s209)) | node2(s208, s209))),
% 9.36/6.81 inference(quant_inst,[status(thm)],[])).
% 9.36/6.81 tff(31786,plain,
% 9.36/6.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s208, s209)) | node2(s208, s209)),
% 9.36/6.81 inference(modus_ponens,[status(thm)],[31785, 31784])).
% 9.36/6.81 tff(31787,plain,
% 9.36/6.81 (node2(s208, s209)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31786, 7, 6531])).
% 9.36/6.81 tff(31788,plain,
% 9.36/6.81 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.36/6.81 inference(rewrite,[status(thm)],[])).
% 9.36/6.81 tff(31789,plain,
% 9.36/6.81 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.36/6.81 inference(quant_inst,[status(thm)],[])).
% 9.36/6.81 tff(31790,plain,
% 9.36/6.81 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 9.36/6.81 inference(modus_ponens,[status(thm)],[31789, 31788])).
% 9.36/6.81 tff(31791,plain,
% 9.36/6.81 ((~m_main_v_state(s208, c_ready)) | m_main_v_state(s209, c_busy) | (~m_main_v_request(s208))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31790, 191, 31787])).
% 9.36/6.81 tff(31792,plain,
% 9.36/6.81 (~m_main_v_request(s208)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31791, 31783, 31779])).
% 9.36/6.81 tff(31793,plain,
% 9.36/6.81 (((~![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)))),
% 9.36/6.81 inference(rewrite,[status(thm)],[])).
% 9.36/6.81 tff(31794,plain,
% 9.36/6.81 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s208) | (~node4(s208)))),
% 9.36/6.81 inference(quant_inst,[status(thm)],[])).
% 9.36/6.81 tff(31795,plain,
% 9.36/6.81 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s208) | (~node4(s208))),
% 9.36/6.81 inference(modus_ponens,[status(thm)],[31794, 31793])).
% 9.36/6.81 tff(31796,plain,
% 9.36/6.81 (~node4(s208)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31795, 154, 31792])).
% 9.36/6.81 tff(31797,plain,
% 9.36/6.81 (~until5(s208)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31767, 31796])).
% 9.36/6.81 tff(31798,plain,
% 9.36/6.81 (~xuntil6(s207)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6555, 31797])).
% 9.36/6.81 tff(31799,plain,
% 9.36/6.81 (node4(s207)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31764, 31798])).
% 9.36/6.81 tff(31800,plain,
% 9.36/6.81 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s207) | (~node4(s207)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s207) | (~node4(s207)))),
% 9.36/6.81 inference(rewrite,[status(thm)],[])).
% 9.36/6.81 tff(31801,plain,
% 9.36/6.81 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s207) | (~node4(s207)))),
% 9.36/6.81 inference(quant_inst,[status(thm)],[])).
% 9.36/6.81 tff(31802,plain,
% 9.36/6.81 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s207) | (~node4(s207))),
% 9.36/6.81 inference(modus_ponens,[status(thm)],[31801, 31800])).
% 9.36/6.81 tff(31803,plain,
% 9.36/6.81 (m_main_v_request(s207)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31802, 154, 31799])).
% 9.36/6.81 tff(31804,plain,
% 9.36/6.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s207, s208)) | node2(s207, s208))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s207, s208)) | node2(s207, s208))),
% 9.36/6.81 inference(rewrite,[status(thm)],[])).
% 9.36/6.81 tff(31805,plain,
% 9.36/6.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s207, s208)) | node2(s207, s208))),
% 9.36/6.81 inference(quant_inst,[status(thm)],[])).
% 9.36/6.81 tff(31806,plain,
% 9.36/6.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s207, s208)) | node2(s207, s208)),
% 9.36/6.81 inference(modus_ponens,[status(thm)],[31805, 31804])).
% 9.36/6.81 tff(31807,plain,
% 9.36/6.81 (node2(s207, s208)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31806, 7, 6560])).
% 9.36/6.81 tff(31808,plain,
% 9.36/6.81 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s207, c_ready)) | (~node2(s207, s208)) | m_main_v_state(s208, c_busy) | (~m_main_v_request(s207)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s207, c_ready)) | (~node2(s207, s208)) | m_main_v_state(s208, c_busy) | (~m_main_v_request(s207)))),
% 9.36/6.81 inference(rewrite,[status(thm)],[])).
% 9.36/6.81 tff(31809,plain,
% 9.36/6.81 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s207, c_ready)) | (~node2(s207, s208)) | m_main_v_state(s208, c_busy) | (~m_main_v_request(s207)))),
% 9.36/6.81 inference(quant_inst,[status(thm)],[])).
% 9.36/6.81 tff(31810,plain,
% 9.36/6.81 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s207, c_ready)) | (~node2(s207, s208)) | m_main_v_state(s208, c_busy) | (~m_main_v_request(s207))),
% 9.36/6.81 inference(modus_ponens,[status(thm)],[31809, 31808])).
% 9.36/6.81 tff(31811,plain,
% 9.36/6.81 ((~m_main_v_state(s207, c_ready)) | m_main_v_state(s208, c_busy) | (~m_main_v_request(s207))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31810, 191, 31807])).
% 9.36/6.81 tff(31812,plain,
% 9.36/6.81 (~m_main_v_state(s207, c_ready)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31811, 31803, 31778])).
% 9.36/6.81 tff(31813,plain,
% 9.36/6.81 (always3(s207)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6568, 22, 31799])).
% 9.36/6.81 tff(31814,plain,
% 9.36/6.81 (~m_main_v_state(s207, c_busy)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31422, 170, 31813])).
% 9.36/6.81 tff(31815,plain,
% 9.36/6.81 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s207, c_busy) | m_main_v_state(s207, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s207, c_busy) | m_main_v_state(s207, c_ready))),
% 9.36/6.81 inference(rewrite,[status(thm)],[])).
% 9.36/6.81 tff(31816,plain,
% 9.36/6.81 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s207, c_busy) | m_main_v_state(s207, c_ready))),
% 9.36/6.81 inference(quant_inst,[status(thm)],[])).
% 9.36/6.81 tff(31817,plain,
% 9.36/6.81 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s207, c_busy) | m_main_v_state(s207, c_ready)),
% 9.36/6.81 inference(modus_ponens,[status(thm)],[31816, 31815])).
% 9.36/6.81 tff(31818,plain,
% 9.36/6.81 ($false),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31817, 213, 31814, 31812])).
% 9.36/6.81 tff(31819,plain,((~until5(s207)) | xuntil6(s208) | m_main_v_state(s209, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.36/6.81 tff(31820,plain,
% 9.36/6.81 (xuntil6(s208)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31819, 31754, 31759])).
% 9.36/6.81 tff(31821,plain,
% 9.36/6.81 (until5(s209)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6526, 31820])).
% 9.36/6.81 tff(31822,plain,
% 9.36/6.81 (node4(s209)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31562, 31821])).
% 9.36/6.81 tff(31823,plain,
% 9.36/6.81 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s209) | (~node4(s209)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s209) | (~node4(s209)))),
% 9.36/6.81 inference(rewrite,[status(thm)],[])).
% 9.36/6.81 tff(31824,plain,
% 9.36/6.81 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s209) | (~node4(s209)))),
% 9.36/6.81 inference(quant_inst,[status(thm)],[])).
% 9.36/6.81 tff(31825,plain,
% 9.36/6.81 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s209) | (~node4(s209))),
% 9.36/6.81 inference(modus_ponens,[status(thm)],[31824, 31823])).
% 9.36/6.81 tff(31826,plain,
% 9.36/6.81 (m_main_v_request(s209)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31825, 154, 31822])).
% 9.36/6.81 tff(31827,plain,
% 9.36/6.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s209, s210)) | node2(s209, s210))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s209, s210)) | node2(s209, s210))),
% 9.36/6.81 inference(rewrite,[status(thm)],[])).
% 9.36/6.81 tff(31828,plain,
% 9.36/6.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s209, s210)) | node2(s209, s210))),
% 9.36/6.81 inference(quant_inst,[status(thm)],[])).
% 9.36/6.81 tff(31829,plain,
% 9.36/6.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s209, s210)) | node2(s209, s210)),
% 9.36/6.81 inference(modus_ponens,[status(thm)],[31828, 31827])).
% 9.36/6.81 tff(31830,plain,
% 9.36/6.81 (node2(s209, s210)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31829, 7, 6502])).
% 9.36/6.81 tff(31831,plain,
% 9.36/6.81 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s209, c_ready)) | (~node2(s209, s210)) | m_main_v_state(s210, c_busy) | (~m_main_v_request(s209)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s209, c_ready)) | (~node2(s209, s210)) | m_main_v_state(s210, c_busy) | (~m_main_v_request(s209)))),
% 9.36/6.81 inference(rewrite,[status(thm)],[])).
% 9.36/6.81 tff(31832,plain,
% 9.36/6.81 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s209, c_ready)) | (~node2(s209, s210)) | m_main_v_state(s210, c_busy) | (~m_main_v_request(s209)))),
% 9.36/6.81 inference(quant_inst,[status(thm)],[])).
% 9.36/6.81 tff(31833,plain,
% 9.36/6.81 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s209, c_ready)) | (~node2(s209, s210)) | m_main_v_state(s210, c_busy) | (~m_main_v_request(s209))),
% 9.36/6.81 inference(modus_ponens,[status(thm)],[31832, 31831])).
% 9.36/6.81 tff(31834,plain,
% 9.36/6.81 ((~m_main_v_state(s209, c_ready)) | m_main_v_state(s210, c_busy) | (~m_main_v_request(s209))),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31833, 191, 31830])).
% 9.36/6.81 tff(31835,plain,
% 9.36/6.81 ($false),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31834, 31826, 31758, 31747])).
% 9.36/6.81 tff(31836,plain,(xuntil6(s209) | (~until5(s207))), inference(lemma,lemma(discharge,[]))).
% 9.36/6.81 tff(31837,plain,
% 9.36/6.81 (xuntil6(s209)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31836, 31556])).
% 9.36/6.81 tff(31838,plain,
% 9.36/6.81 (until5(s210)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6497, 31837])).
% 9.36/6.81 tff(31839,assumption,(until5(s210)), introduced(assumption)).
% 9.36/6.81 tff(31840,plain,
% 9.36/6.81 (always3(s215)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[10898, 6354, 6320])).
% 9.36/6.81 tff(31841,plain,
% 9.36/6.81 (always3(s216)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6331, 31840])).
% 9.36/6.81 tff(31842,plain,
% 9.36/6.81 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s216)) | (~m_main_v_state(s216, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s216)) | (~m_main_v_state(s216, c_busy)))),
% 9.36/6.81 inference(rewrite,[status(thm)],[])).
% 9.36/6.81 tff(31843,plain,
% 9.36/6.81 (((~m_main_v_state(s216, c_busy)) | (~always3(s216))) <=> ((~always3(s216)) | (~m_main_v_state(s216, c_busy)))),
% 9.36/6.81 inference(rewrite,[status(thm)],[])).
% 9.36/6.81 tff(31844,plain,
% 9.36/6.81 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s216, c_busy)) | (~always3(s216)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s216)) | (~m_main_v_state(s216, c_busy))))),
% 9.36/6.81 inference(monotonicity,[status(thm)],[31843])).
% 9.36/6.81 tff(31845,plain,
% 9.36/6.81 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s216, c_busy)) | (~always3(s216)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s216)) | (~m_main_v_state(s216, c_busy)))),
% 9.36/6.81 inference(transitivity,[status(thm)],[31844, 31842])).
% 9.36/6.81 tff(31846,plain,
% 9.36/6.81 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s216, c_busy)) | (~always3(s216)))),
% 9.36/6.81 inference(quant_inst,[status(thm)],[])).
% 9.36/6.81 tff(31847,plain,
% 9.36/6.81 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s216)) | (~m_main_v_state(s216, c_busy))),
% 9.36/6.81 inference(modus_ponens,[status(thm)],[31846, 31845])).
% 9.36/6.81 tff(31848,plain,
% 9.36/6.81 (~m_main_v_state(s216, c_busy)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31847, 170, 31841])).
% 9.36/6.81 tff(31849,assumption,(until5(s215)), introduced(assumption)).
% 9.36/6.81 tff(31850,plain,
% 9.36/6.81 (xuntil6(s215) | node4(s215)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[6360, 36, 31849])).
% 9.36/6.81 tff(31851,plain,
% 9.36/6.81 (node4(s215)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31850, 6354])).
% 9.36/6.81 tff(31852,plain,
% 9.36/6.81 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s215) | (~node4(s215)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s215) | (~node4(s215)))),
% 9.36/6.81 inference(rewrite,[status(thm)],[])).
% 9.36/6.81 tff(31853,plain,
% 9.36/6.81 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s215) | (~node4(s215)))),
% 9.36/6.81 inference(quant_inst,[status(thm)],[])).
% 9.36/6.81 tff(31854,plain,
% 9.36/6.81 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s215) | (~node4(s215))),
% 9.36/6.81 inference(modus_ponens,[status(thm)],[31853, 31852])).
% 9.36/6.81 tff(31855,plain,
% 9.36/6.81 (m_main_v_request(s215)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31854, 154, 31851])).
% 9.36/6.81 tff(31856,plain,
% 9.36/6.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s215, s216)) | node2(s215, s216))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s215, s216)) | node2(s215, s216))),
% 9.36/6.81 inference(rewrite,[status(thm)],[])).
% 9.36/6.81 tff(31857,plain,
% 9.36/6.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s215, s216)) | node2(s215, s216))),
% 9.36/6.81 inference(quant_inst,[status(thm)],[])).
% 9.36/6.81 tff(31858,plain,
% 9.36/6.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s215, s216)) | node2(s215, s216)),
% 9.36/6.81 inference(modus_ponens,[status(thm)],[31857, 31856])).
% 9.36/6.81 tff(31859,plain,
% 9.36/6.81 (node2(s215, s216)),
% 9.36/6.81 inference(unit_resolution,[status(thm)],[31858, 7, 6327])).
% 9.36/6.81 tff(31860,plain,
% 9.36/6.81 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s215, c_ready)) | (~node2(s215, s216)) | m_main_v_state(s216, c_busy) | (~m_main_v_request(s215)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s215, c_ready)) | (~node2(s215, s216)) | m_main_v_state(s216, c_busy) | (~m_main_v_request(s215)))),
% 9.36/6.82 inference(rewrite,[status(thm)],[])).
% 9.36/6.82 tff(31861,plain,
% 9.36/6.82 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s215, c_ready)) | (~node2(s215, s216)) | m_main_v_state(s216, c_busy) | (~m_main_v_request(s215)))),
% 9.36/6.82 inference(quant_inst,[status(thm)],[])).
% 9.36/6.82 tff(31862,plain,
% 9.36/6.82 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s215, c_ready)) | (~node2(s215, s216)) | m_main_v_state(s216, c_busy) | (~m_main_v_request(s215))),
% 9.36/6.82 inference(modus_ponens,[status(thm)],[31861, 31860])).
% 9.36/6.82 tff(31863,plain,
% 9.36/6.82 ((~m_main_v_state(s215, c_ready)) | m_main_v_state(s216, c_busy) | (~m_main_v_request(s215))),
% 9.36/6.82 inference(unit_resolution,[status(thm)],[31862, 191, 31859])).
% 9.36/6.82 tff(31864,plain,
% 9.36/6.82 (~m_main_v_state(s215, c_ready)),
% 9.36/6.82 inference(unit_resolution,[status(thm)],[31863, 31855, 31848])).
% 9.36/6.82 tff(31865,plain,
% 9.36/6.82 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s215)) | (~m_main_v_state(s215, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s215)) | (~m_main_v_state(s215, c_busy)))),
% 9.36/6.82 inference(rewrite,[status(thm)],[])).
% 9.36/6.82 tff(31866,plain,
% 9.36/6.82 (((~m_main_v_state(s215, c_busy)) | (~always3(s215))) <=> ((~always3(s215)) | (~m_main_v_state(s215, c_busy)))),
% 9.36/6.82 inference(rewrite,[status(thm)],[])).
% 9.36/6.82 tff(31867,plain,
% 9.36/6.82 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s215, c_busy)) | (~always3(s215)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s215)) | (~m_main_v_state(s215, c_busy))))),
% 9.36/6.82 inference(monotonicity,[status(thm)],[31866])).
% 9.36/6.82 tff(31868,plain,
% 9.36/6.82 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s215, c_busy)) | (~always3(s215)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s215)) | (~m_main_v_state(s215, c_busy)))),
% 9.36/6.82 inference(transitivity,[status(thm)],[31867, 31865])).
% 9.36/6.82 tff(31869,plain,
% 9.36/6.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s215, c_busy)) | (~always3(s215)))),
% 9.36/6.82 inference(quant_inst,[status(thm)],[])).
% 9.36/6.82 tff(31870,plain,
% 9.36/6.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s215)) | (~m_main_v_state(s215, c_busy))),
% 9.36/6.82 inference(modus_ponens,[status(thm)],[31869, 31868])).
% 9.36/6.82 tff(31871,plain,
% 9.36/6.82 (~m_main_v_state(s215, c_busy)),
% 9.36/6.82 inference(unit_resolution,[status(thm)],[31870, 170, 31840])).
% 9.36/6.82 tff(31872,plain,
% 9.36/6.82 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s215, c_busy) | m_main_v_state(s215, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s215, c_busy) | m_main_v_state(s215, c_ready))),
% 9.36/6.82 inference(rewrite,[status(thm)],[])).
% 9.36/6.82 tff(31873,plain,
% 9.36/6.82 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s215, c_busy) | m_main_v_state(s215, c_ready))),
% 9.36/6.82 inference(quant_inst,[status(thm)],[])).
% 9.36/6.82 tff(31874,plain,
% 9.36/6.82 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s215, c_busy) | m_main_v_state(s215, c_ready)),
% 9.36/6.82 inference(modus_ponens,[status(thm)],[31873, 31872])).
% 9.36/6.82 tff(31875,plain,
% 9.36/6.82 ($false),
% 9.36/6.82 inference(unit_resolution,[status(thm)],[31874, 213, 31871, 31864])).
% 9.36/6.82 tff(31876,plain,(xuntil6(s215) | (~until5(s215)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.36/6.82 tff(31877,plain,
% 9.36/6.82 (~until5(s215)),
% 9.36/6.82 inference(unit_resolution,[status(thm)],[31876, 6354, 6320])).
% 9.36/6.82 tff(31878,plain,
% 9.36/6.82 (~xuntil6(s214)),
% 9.36/6.82 inference(unit_resolution,[status(thm)],[6366, 31877])).
% 9.36/6.82 tff(31879,assumption,(~xuntil6(s214)), introduced(assumption)).
% 9.36/6.82 tff(31880,assumption,(~always3(s214)), introduced(assumption)).
% 9.38/6.82 tff(31881,plain,
% 9.38/6.82 (~always3(s213)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6390, 31880])).
% 9.38/6.82 tff(31882,plain,
% 9.38/6.82 (~always3(s212)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6419, 31881])).
% 9.38/6.82 tff(31883,plain,
% 9.38/6.82 (~always3(s211)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6448, 31882])).
% 9.38/6.82 tff(31884,plain,
% 9.38/6.82 (~node4(s211)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6452, 22, 31883])).
% 9.38/6.82 tff(31885,plain,
% 9.38/6.82 (~always3(s210)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6477, 31883])).
% 9.38/6.82 tff(31886,plain,
% 9.38/6.82 (~node4(s210)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6481, 22, 31885])).
% 9.38/6.82 tff(31887,plain,
% 9.38/6.82 (xuntil6(s210) | node4(s210)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6488, 36, 31839])).
% 9.38/6.82 tff(31888,plain,
% 9.38/6.82 (xuntil6(s210)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31887, 31886])).
% 9.38/6.82 tff(31889,plain,
% 9.38/6.82 (until5(s211)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6468, 31888])).
% 9.38/6.82 tff(31890,plain,
% 9.38/6.82 (xuntil6(s211)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6459, 36, 31889, 31884])).
% 9.38/6.82 tff(31891,plain,
% 9.38/6.82 (until5(s212)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6439, 31890])).
% 9.38/6.82 tff(31892,plain,
% 9.38/6.82 (~node4(s212)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6423, 22, 31882])).
% 9.38/6.82 tff(31893,plain,
% 9.38/6.82 (xuntil6(s212) | (~until5(s212))),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6430, 36, 31892])).
% 9.38/6.82 tff(31894,plain,
% 9.38/6.82 (xuntil6(s212)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31893, 31891])).
% 9.38/6.82 tff(31895,plain,
% 9.38/6.82 (until5(s213)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6410, 31894])).
% 9.38/6.82 tff(31896,plain,
% 9.38/6.82 (~node4(s213)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6394, 22, 31881])).
% 9.38/6.82 tff(31897,plain,
% 9.38/6.82 (xuntil6(s213) | (~until5(s213))),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6401, 36, 31896])).
% 9.38/6.82 tff(31898,plain,
% 9.38/6.82 (xuntil6(s213)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31897, 31895])).
% 9.38/6.82 tff(31899,plain,
% 9.38/6.82 (until5(s214)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6381, 31898])).
% 9.38/6.82 tff(31900,plain,
% 9.38/6.82 (node4(s214) | (~until5(s214))),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6373, 36, 31879])).
% 9.38/6.82 tff(31901,plain,
% 9.38/6.82 (node4(s214)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31900, 31899])).
% 9.38/6.82 tff(31902,plain,
% 9.38/6.82 ($false),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6348, 22, 31880, 31901])).
% 9.38/6.82 tff(31903,plain,(always3(s214) | xuntil6(s214) | (~until5(s210))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.82 tff(31904,plain,
% 9.38/6.82 (always3(s214)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31903, 31839, 31879])).
% 9.38/6.82 tff(31905,plain,
% 9.38/6.82 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s214)) | (~m_main_v_state(s214, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s214)) | (~m_main_v_state(s214, c_busy)))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(31906,plain,
% 9.38/6.82 (((~m_main_v_state(s214, c_busy)) | (~always3(s214))) <=> ((~always3(s214)) | (~m_main_v_state(s214, c_busy)))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(31907,plain,
% 9.38/6.82 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s214, c_busy)) | (~always3(s214)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s214)) | (~m_main_v_state(s214, c_busy))))),
% 9.38/6.82 inference(monotonicity,[status(thm)],[31906])).
% 9.38/6.82 tff(31908,plain,
% 9.38/6.82 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s214, c_busy)) | (~always3(s214)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s214)) | (~m_main_v_state(s214, c_busy)))),
% 9.38/6.82 inference(transitivity,[status(thm)],[31907, 31905])).
% 9.38/6.82 tff(31909,plain,
% 9.38/6.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s214, c_busy)) | (~always3(s214)))),
% 9.38/6.82 inference(quant_inst,[status(thm)],[])).
% 9.38/6.82 tff(31910,plain,
% 9.38/6.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s214)) | (~m_main_v_state(s214, c_busy))),
% 9.38/6.82 inference(modus_ponens,[status(thm)],[31909, 31908])).
% 9.38/6.82 tff(31911,plain,
% 9.38/6.82 (~m_main_v_state(s214, c_busy)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31910, 170, 31904])).
% 9.38/6.82 tff(31912,assumption,(~m_main_v_state(s215, c_busy)), introduced(assumption)).
% 9.38/6.82 tff(31913,plain,
% 9.38/6.82 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s214, c_busy) | m_main_v_state(s214, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s214, c_busy) | m_main_v_state(s214, c_ready))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(31914,plain,
% 9.38/6.82 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s214, c_busy) | m_main_v_state(s214, c_ready))),
% 9.38/6.82 inference(quant_inst,[status(thm)],[])).
% 9.38/6.82 tff(31915,plain,
% 9.38/6.82 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s214, c_busy) | m_main_v_state(s214, c_ready)),
% 9.38/6.82 inference(modus_ponens,[status(thm)],[31914, 31913])).
% 9.38/6.82 tff(31916,plain,
% 9.38/6.82 (m_main_v_state(s214, c_ready)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31915, 213, 31911])).
% 9.38/6.82 tff(31917,plain,
% 9.38/6.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s214, s215)) | node2(s214, s215))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s214, s215)) | node2(s214, s215))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(31918,plain,
% 9.38/6.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s214, s215)) | node2(s214, s215))),
% 9.38/6.82 inference(quant_inst,[status(thm)],[])).
% 9.38/6.82 tff(31919,plain,
% 9.38/6.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s214, s215)) | node2(s214, s215)),
% 9.38/6.82 inference(modus_ponens,[status(thm)],[31918, 31917])).
% 9.38/6.82 tff(31920,plain,
% 9.38/6.82 (node2(s214, s215)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31919, 7, 6340])).
% 9.38/6.82 tff(31921,plain,
% 9.38/6.82 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s214, c_ready)) | (~node2(s214, s215)) | m_main_v_state(s215, c_busy) | (~m_main_v_request(s214)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s214, c_ready)) | (~node2(s214, s215)) | m_main_v_state(s215, c_busy) | (~m_main_v_request(s214)))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(31922,plain,
% 9.38/6.82 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s214, c_ready)) | (~node2(s214, s215)) | m_main_v_state(s215, c_busy) | (~m_main_v_request(s214)))),
% 9.38/6.82 inference(quant_inst,[status(thm)],[])).
% 9.38/6.82 tff(31923,plain,
% 9.38/6.82 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s214, c_ready)) | (~node2(s214, s215)) | m_main_v_state(s215, c_busy) | (~m_main_v_request(s214))),
% 9.38/6.82 inference(modus_ponens,[status(thm)],[31922, 31921])).
% 9.38/6.82 tff(31924,plain,
% 9.38/6.82 ((~m_main_v_state(s214, c_ready)) | m_main_v_state(s215, c_busy) | (~m_main_v_request(s214))),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31923, 191, 31920])).
% 9.38/6.82 tff(31925,plain,
% 9.38/6.82 (~m_main_v_request(s214)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31924, 31916, 31912])).
% 9.38/6.82 tff(31926,plain,
% 9.38/6.82 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s214) | (~node4(s214)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s214) | (~node4(s214)))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(31927,plain,
% 9.38/6.82 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s214) | (~node4(s214)))),
% 9.38/6.82 inference(quant_inst,[status(thm)],[])).
% 9.38/6.82 tff(31928,plain,
% 9.38/6.82 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s214) | (~node4(s214))),
% 9.38/6.82 inference(modus_ponens,[status(thm)],[31927, 31926])).
% 9.38/6.82 tff(31929,plain,
% 9.38/6.82 (~node4(s214)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31928, 154, 31925])).
% 9.38/6.82 tff(31930,plain,
% 9.38/6.82 (~until5(s214)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31900, 31929])).
% 9.38/6.82 tff(31931,plain,
% 9.38/6.82 (~xuntil6(s213)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6381, 31930])).
% 9.38/6.82 tff(31932,assumption,(~xuntil6(s213)), introduced(assumption)).
% 9.38/6.82 tff(31933,assumption,(until5(s212)), introduced(assumption)).
% 9.38/6.82 tff(31934,assumption,(~always3(s213)), introduced(assumption)).
% 9.38/6.82 tff(31935,plain,
% 9.38/6.82 (~always3(s212)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6419, 31934])).
% 9.38/6.82 tff(31936,plain,
% 9.38/6.82 (~node4(s212)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6423, 22, 31935])).
% 9.38/6.82 tff(31937,plain,
% 9.38/6.82 (xuntil6(s212) | node4(s212)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6430, 36, 31933])).
% 9.38/6.82 tff(31938,plain,
% 9.38/6.82 (xuntil6(s212)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31937, 31936])).
% 9.38/6.82 tff(31939,plain,
% 9.38/6.82 (until5(s213)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6410, 31938])).
% 9.38/6.82 tff(31940,plain,
% 9.38/6.82 (node4(s213) | (~until5(s213))),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6401, 36, 31932])).
% 9.38/6.82 tff(31941,plain,
% 9.38/6.82 (node4(s213)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31940, 31939])).
% 9.38/6.82 tff(31942,plain,
% 9.38/6.82 ($false),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6394, 22, 31934, 31941])).
% 9.38/6.82 tff(31943,plain,(always3(s213) | xuntil6(s213) | (~until5(s212))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.82 tff(31944,plain,
% 9.38/6.82 (always3(s213)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31943, 31933, 31932])).
% 9.38/6.82 tff(31945,plain,
% 9.38/6.82 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s213)) | (~m_main_v_state(s213, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s213)) | (~m_main_v_state(s213, c_busy)))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(31946,plain,
% 9.38/6.82 (((~m_main_v_state(s213, c_busy)) | (~always3(s213))) <=> ((~always3(s213)) | (~m_main_v_state(s213, c_busy)))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(31947,plain,
% 9.38/6.82 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s213, c_busy)) | (~always3(s213)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s213)) | (~m_main_v_state(s213, c_busy))))),
% 9.38/6.82 inference(monotonicity,[status(thm)],[31946])).
% 9.38/6.82 tff(31948,plain,
% 9.38/6.82 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s213, c_busy)) | (~always3(s213)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s213)) | (~m_main_v_state(s213, c_busy)))),
% 9.38/6.82 inference(transitivity,[status(thm)],[31947, 31945])).
% 9.38/6.82 tff(31949,plain,
% 9.38/6.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s213, c_busy)) | (~always3(s213)))),
% 9.38/6.82 inference(quant_inst,[status(thm)],[])).
% 9.38/6.82 tff(31950,plain,
% 9.38/6.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s213)) | (~m_main_v_state(s213, c_busy))),
% 9.38/6.82 inference(modus_ponens,[status(thm)],[31949, 31948])).
% 9.38/6.82 tff(31951,plain,
% 9.38/6.82 (~m_main_v_state(s213, c_busy)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31950, 170, 31944])).
% 9.38/6.82 tff(31952,assumption,(~m_main_v_state(s214, c_busy)), introduced(assumption)).
% 9.38/6.82 tff(31953,plain,
% 9.38/6.82 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s213, c_busy) | m_main_v_state(s213, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s213, c_busy) | m_main_v_state(s213, c_ready))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(31954,plain,
% 9.38/6.82 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s213, c_busy) | m_main_v_state(s213, c_ready))),
% 9.38/6.82 inference(quant_inst,[status(thm)],[])).
% 9.38/6.82 tff(31955,plain,
% 9.38/6.82 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s213, c_busy) | m_main_v_state(s213, c_ready)),
% 9.38/6.82 inference(modus_ponens,[status(thm)],[31954, 31953])).
% 9.38/6.82 tff(31956,plain,
% 9.38/6.82 (m_main_v_state(s213, c_ready)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31955, 213, 31951])).
% 9.38/6.82 tff(31957,plain,
% 9.38/6.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s213, s214)) | node2(s213, s214))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s213, s214)) | node2(s213, s214))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(31958,plain,
% 9.38/6.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s213, s214)) | node2(s213, s214))),
% 9.38/6.82 inference(quant_inst,[status(thm)],[])).
% 9.38/6.82 tff(31959,plain,
% 9.38/6.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s213, s214)) | node2(s213, s214)),
% 9.38/6.82 inference(modus_ponens,[status(thm)],[31958, 31957])).
% 9.38/6.82 tff(31960,plain,
% 9.38/6.82 (node2(s213, s214)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31959, 7, 6386])).
% 9.38/6.82 tff(31961,plain,
% 9.38/6.82 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s213, c_ready)) | (~node2(s213, s214)) | m_main_v_state(s214, c_busy) | (~m_main_v_request(s213)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s213, c_ready)) | (~node2(s213, s214)) | m_main_v_state(s214, c_busy) | (~m_main_v_request(s213)))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(31962,plain,
% 9.38/6.82 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s213, c_ready)) | (~node2(s213, s214)) | m_main_v_state(s214, c_busy) | (~m_main_v_request(s213)))),
% 9.38/6.82 inference(quant_inst,[status(thm)],[])).
% 9.38/6.82 tff(31963,plain,
% 9.38/6.82 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s213, c_ready)) | (~node2(s213, s214)) | m_main_v_state(s214, c_busy) | (~m_main_v_request(s213))),
% 9.38/6.82 inference(modus_ponens,[status(thm)],[31962, 31961])).
% 9.38/6.82 tff(31964,plain,
% 9.38/6.82 ((~m_main_v_state(s213, c_ready)) | m_main_v_state(s214, c_busy) | (~m_main_v_request(s213))),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31963, 191, 31960])).
% 9.38/6.82 tff(31965,plain,
% 9.38/6.82 (~m_main_v_request(s213)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31964, 31956, 31952])).
% 9.38/6.82 tff(31966,plain,
% 9.38/6.82 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s213) | (~node4(s213)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s213) | (~node4(s213)))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(31967,plain,
% 9.38/6.82 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s213) | (~node4(s213)))),
% 9.38/6.82 inference(quant_inst,[status(thm)],[])).
% 9.38/6.82 tff(31968,plain,
% 9.38/6.82 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s213) | (~node4(s213))),
% 9.38/6.82 inference(modus_ponens,[status(thm)],[31967, 31966])).
% 9.38/6.82 tff(31969,plain,
% 9.38/6.82 (~node4(s213)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31968, 154, 31965])).
% 9.38/6.82 tff(31970,plain,
% 9.38/6.82 (~until5(s213)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31940, 31969])).
% 9.38/6.82 tff(31971,plain,
% 9.38/6.82 (~xuntil6(s212)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6410, 31970])).
% 9.38/6.82 tff(31972,plain,
% 9.38/6.82 (node4(s212)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31937, 31971])).
% 9.38/6.82 tff(31973,plain,
% 9.38/6.82 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s212) | (~node4(s212)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s212) | (~node4(s212)))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(31974,plain,
% 9.38/6.82 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s212) | (~node4(s212)))),
% 9.38/6.82 inference(quant_inst,[status(thm)],[])).
% 9.38/6.82 tff(31975,plain,
% 9.38/6.82 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s212) | (~node4(s212))),
% 9.38/6.82 inference(modus_ponens,[status(thm)],[31974, 31973])).
% 9.38/6.82 tff(31976,plain,
% 9.38/6.82 (m_main_v_request(s212)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31975, 154, 31972])).
% 9.38/6.82 tff(31977,plain,
% 9.38/6.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s212, s213)) | node2(s212, s213))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s212, s213)) | node2(s212, s213))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(31978,plain,
% 9.38/6.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s212, s213)) | node2(s212, s213))),
% 9.38/6.82 inference(quant_inst,[status(thm)],[])).
% 9.38/6.82 tff(31979,plain,
% 9.38/6.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s212, s213)) | node2(s212, s213)),
% 9.38/6.82 inference(modus_ponens,[status(thm)],[31978, 31977])).
% 9.38/6.82 tff(31980,plain,
% 9.38/6.82 (node2(s212, s213)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31979, 7, 6415])).
% 9.38/6.82 tff(31981,plain,
% 9.38/6.82 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s212, c_ready)) | (~node2(s212, s213)) | m_main_v_state(s213, c_busy) | (~m_main_v_request(s212)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s212, c_ready)) | (~node2(s212, s213)) | m_main_v_state(s213, c_busy) | (~m_main_v_request(s212)))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(31982,plain,
% 9.38/6.82 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s212, c_ready)) | (~node2(s212, s213)) | m_main_v_state(s213, c_busy) | (~m_main_v_request(s212)))),
% 9.38/6.82 inference(quant_inst,[status(thm)],[])).
% 9.38/6.82 tff(31983,plain,
% 9.38/6.82 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s212, c_ready)) | (~node2(s212, s213)) | m_main_v_state(s213, c_busy) | (~m_main_v_request(s212))),
% 9.38/6.82 inference(modus_ponens,[status(thm)],[31982, 31981])).
% 9.38/6.82 tff(31984,plain,
% 9.38/6.82 ((~m_main_v_state(s212, c_ready)) | m_main_v_state(s213, c_busy) | (~m_main_v_request(s212))),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31983, 191, 31980])).
% 9.38/6.82 tff(31985,plain,
% 9.38/6.82 (~m_main_v_state(s212, c_ready)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31984, 31976, 31951])).
% 9.38/6.82 tff(31986,plain,
% 9.38/6.82 (always3(s212)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6423, 22, 31972])).
% 9.38/6.82 tff(31987,plain,
% 9.38/6.82 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s212)) | (~m_main_v_state(s212, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s212)) | (~m_main_v_state(s212, c_busy)))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(31988,plain,
% 9.38/6.82 (((~m_main_v_state(s212, c_busy)) | (~always3(s212))) <=> ((~always3(s212)) | (~m_main_v_state(s212, c_busy)))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(31989,plain,
% 9.38/6.82 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s212, c_busy)) | (~always3(s212)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s212)) | (~m_main_v_state(s212, c_busy))))),
% 9.38/6.82 inference(monotonicity,[status(thm)],[31988])).
% 9.38/6.82 tff(31990,plain,
% 9.38/6.82 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s212, c_busy)) | (~always3(s212)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s212)) | (~m_main_v_state(s212, c_busy)))),
% 9.38/6.82 inference(transitivity,[status(thm)],[31989, 31987])).
% 9.38/6.82 tff(31991,plain,
% 9.38/6.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s212, c_busy)) | (~always3(s212)))),
% 9.38/6.82 inference(quant_inst,[status(thm)],[])).
% 9.38/6.82 tff(31992,plain,
% 9.38/6.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s212)) | (~m_main_v_state(s212, c_busy))),
% 9.38/6.82 inference(modus_ponens,[status(thm)],[31991, 31990])).
% 9.38/6.82 tff(31993,plain,
% 9.38/6.82 (~m_main_v_state(s212, c_busy)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31992, 170, 31986])).
% 9.38/6.82 tff(31994,plain,
% 9.38/6.82 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s212, c_busy) | m_main_v_state(s212, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s212, c_busy) | m_main_v_state(s212, c_ready))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(31995,plain,
% 9.38/6.82 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s212, c_busy) | m_main_v_state(s212, c_ready))),
% 9.38/6.82 inference(quant_inst,[status(thm)],[])).
% 9.38/6.82 tff(31996,plain,
% 9.38/6.82 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s212, c_busy) | m_main_v_state(s212, c_ready)),
% 9.38/6.82 inference(modus_ponens,[status(thm)],[31995, 31994])).
% 9.38/6.82 tff(31997,plain,
% 9.38/6.82 ($false),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31996, 213, 31993, 31985])).
% 9.38/6.82 tff(31998,plain,((~until5(s212)) | xuntil6(s213) | m_main_v_state(s214, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.38/6.82 tff(31999,plain,
% 9.38/6.82 (~until5(s212)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31998, 31931, 31911])).
% 9.38/6.82 tff(32000,plain,
% 9.38/6.82 (~xuntil6(s211)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6439, 31999])).
% 9.38/6.82 tff(32001,assumption,(~always3(s211)), introduced(assumption)).
% 9.38/6.82 tff(32002,plain,
% 9.38/6.82 (~node4(s211)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6452, 22, 32001])).
% 9.38/6.82 tff(32003,assumption,(~xuntil6(s211)), introduced(assumption)).
% 9.38/6.82 tff(32004,plain,
% 9.38/6.82 (node4(s211) | (~until5(s211))),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6459, 36, 32003])).
% 9.38/6.82 tff(32005,plain,
% 9.38/6.82 (~until5(s211)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[32004, 32002])).
% 9.38/6.82 tff(32006,plain,
% 9.38/6.82 (~always3(s210)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6477, 32001])).
% 9.38/6.82 tff(32007,plain,
% 9.38/6.82 (~node4(s210)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6481, 22, 32006])).
% 9.38/6.82 tff(32008,plain,
% 9.38/6.82 (xuntil6(s210)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31887, 32007])).
% 9.38/6.82 tff(32009,plain,
% 9.38/6.82 ($false),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6468, 32008, 32005])).
% 9.38/6.82 tff(32010,plain,(always3(s211) | (~until5(s210)) | xuntil6(s211)), inference(lemma,lemma(discharge,[]))).
% 9.38/6.82 tff(32011,plain,
% 9.38/6.82 (always3(s211)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[32010, 31839, 32000])).
% 9.38/6.82 tff(32012,plain,
% 9.38/6.82 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s211)) | (~m_main_v_state(s211, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s211)) | (~m_main_v_state(s211, c_busy)))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(32013,plain,
% 9.38/6.82 (((~m_main_v_state(s211, c_busy)) | (~always3(s211))) <=> ((~always3(s211)) | (~m_main_v_state(s211, c_busy)))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(32014,plain,
% 9.38/6.82 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s211, c_busy)) | (~always3(s211)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s211)) | (~m_main_v_state(s211, c_busy))))),
% 9.38/6.82 inference(monotonicity,[status(thm)],[32013])).
% 9.38/6.82 tff(32015,plain,
% 9.38/6.82 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s211, c_busy)) | (~always3(s211)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s211)) | (~m_main_v_state(s211, c_busy)))),
% 9.38/6.82 inference(transitivity,[status(thm)],[32014, 32012])).
% 9.38/6.82 tff(32016,plain,
% 9.38/6.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s211, c_busy)) | (~always3(s211)))),
% 9.38/6.82 inference(quant_inst,[status(thm)],[])).
% 9.38/6.82 tff(32017,plain,
% 9.38/6.82 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s211)) | (~m_main_v_state(s211, c_busy))),
% 9.38/6.82 inference(modus_ponens,[status(thm)],[32016, 32015])).
% 9.38/6.82 tff(32018,plain,
% 9.38/6.82 (~m_main_v_state(s211, c_busy)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[32017, 170, 32011])).
% 9.38/6.82 tff(32019,plain,
% 9.38/6.82 (always3(s212)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6448, 32011])).
% 9.38/6.82 tff(32020,plain,
% 9.38/6.82 (~m_main_v_state(s212, c_busy)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31992, 170, 32019])).
% 9.38/6.82 tff(32021,plain,
% 9.38/6.82 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s211, c_busy) | m_main_v_state(s211, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s211, c_busy) | m_main_v_state(s211, c_ready))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(32022,plain,
% 9.38/6.82 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s211, c_busy) | m_main_v_state(s211, c_ready))),
% 9.38/6.82 inference(quant_inst,[status(thm)],[])).
% 9.38/6.82 tff(32023,plain,
% 9.38/6.82 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s211, c_busy) | m_main_v_state(s211, c_ready)),
% 9.38/6.82 inference(modus_ponens,[status(thm)],[32022, 32021])).
% 9.38/6.82 tff(32024,plain,
% 9.38/6.82 (m_main_v_state(s211, c_ready)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[32023, 213, 32018])).
% 9.38/6.82 tff(32025,plain,
% 9.38/6.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s211, s212)) | node2(s211, s212))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s211, s212)) | node2(s211, s212))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(32026,plain,
% 9.38/6.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s211, s212)) | node2(s211, s212))),
% 9.38/6.82 inference(quant_inst,[status(thm)],[])).
% 9.38/6.82 tff(32027,plain,
% 9.38/6.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s211, s212)) | node2(s211, s212)),
% 9.38/6.82 inference(modus_ponens,[status(thm)],[32026, 32025])).
% 9.38/6.82 tff(32028,plain,
% 9.38/6.82 (node2(s211, s212)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[32027, 7, 6444])).
% 9.38/6.82 tff(32029,plain,
% 9.38/6.82 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s211, c_ready)) | (~node2(s211, s212)) | m_main_v_state(s212, c_busy) | (~m_main_v_request(s211)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s211, c_ready)) | (~node2(s211, s212)) | m_main_v_state(s212, c_busy) | (~m_main_v_request(s211)))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(32030,plain,
% 9.38/6.82 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s211, c_ready)) | (~node2(s211, s212)) | m_main_v_state(s212, c_busy) | (~m_main_v_request(s211)))),
% 9.38/6.82 inference(quant_inst,[status(thm)],[])).
% 9.38/6.82 tff(32031,plain,
% 9.38/6.82 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s211, c_ready)) | (~node2(s211, s212)) | m_main_v_state(s212, c_busy) | (~m_main_v_request(s211))),
% 9.38/6.82 inference(modus_ponens,[status(thm)],[32030, 32029])).
% 9.38/6.82 tff(32032,plain,
% 9.38/6.82 ((~m_main_v_state(s211, c_ready)) | m_main_v_state(s212, c_busy) | (~m_main_v_request(s211))),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[32031, 191, 32028])).
% 9.38/6.82 tff(32033,plain,
% 9.38/6.82 (~m_main_v_request(s211)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[32032, 32024, 32020])).
% 9.38/6.82 tff(32034,plain,
% 9.38/6.82 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s211) | (~node4(s211)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s211) | (~node4(s211)))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(32035,plain,
% 9.38/6.82 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s211) | (~node4(s211)))),
% 9.38/6.82 inference(quant_inst,[status(thm)],[])).
% 9.38/6.82 tff(32036,plain,
% 9.38/6.82 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s211) | (~node4(s211))),
% 9.38/6.82 inference(modus_ponens,[status(thm)],[32035, 32034])).
% 9.38/6.82 tff(32037,plain,
% 9.38/6.82 (~node4(s211)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[32036, 154, 32033])).
% 9.38/6.82 tff(32038,plain,
% 9.38/6.82 (node4(s211) | (~until5(s211))),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6459, 36, 32000])).
% 9.38/6.82 tff(32039,plain,
% 9.38/6.82 (~until5(s211)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[32038, 32037])).
% 9.38/6.82 tff(32040,plain,
% 9.38/6.82 (~xuntil6(s210)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6468, 32039])).
% 9.38/6.82 tff(32041,plain,
% 9.38/6.82 (node4(s210)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31887, 32040])).
% 9.38/6.82 tff(32042,plain,
% 9.38/6.82 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s210) | (~node4(s210)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s210) | (~node4(s210)))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(32043,plain,
% 9.38/6.82 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s210) | (~node4(s210)))),
% 9.38/6.82 inference(quant_inst,[status(thm)],[])).
% 9.38/6.82 tff(32044,plain,
% 9.38/6.82 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s210) | (~node4(s210))),
% 9.38/6.82 inference(modus_ponens,[status(thm)],[32043, 32042])).
% 9.38/6.82 tff(32045,plain,
% 9.38/6.82 (m_main_v_request(s210)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[32044, 154, 32041])).
% 9.38/6.82 tff(32046,plain,
% 9.38/6.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s210, s211)) | node2(s210, s211))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s210, s211)) | node2(s210, s211))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(32047,plain,
% 9.38/6.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s210, s211)) | node2(s210, s211))),
% 9.38/6.82 inference(quant_inst,[status(thm)],[])).
% 9.38/6.82 tff(32048,plain,
% 9.38/6.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s210, s211)) | node2(s210, s211)),
% 9.38/6.82 inference(modus_ponens,[status(thm)],[32047, 32046])).
% 9.38/6.82 tff(32049,plain,
% 9.38/6.82 (node2(s210, s211)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[32048, 7, 6473])).
% 9.38/6.82 tff(32050,plain,
% 9.38/6.82 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s210, c_ready)) | (~node2(s210, s211)) | m_main_v_state(s211, c_busy) | (~m_main_v_request(s210)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s210, c_ready)) | (~node2(s210, s211)) | m_main_v_state(s211, c_busy) | (~m_main_v_request(s210)))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(32051,plain,
% 9.38/6.82 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s210, c_ready)) | (~node2(s210, s211)) | m_main_v_state(s211, c_busy) | (~m_main_v_request(s210)))),
% 9.38/6.82 inference(quant_inst,[status(thm)],[])).
% 9.38/6.82 tff(32052,plain,
% 9.38/6.82 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s210, c_ready)) | (~node2(s210, s211)) | m_main_v_state(s211, c_busy) | (~m_main_v_request(s210))),
% 9.38/6.82 inference(modus_ponens,[status(thm)],[32051, 32050])).
% 9.38/6.82 tff(32053,plain,
% 9.38/6.82 ((~m_main_v_state(s210, c_ready)) | m_main_v_state(s211, c_busy) | (~m_main_v_request(s210))),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[32052, 191, 32049])).
% 9.38/6.82 tff(32054,plain,
% 9.38/6.82 (~m_main_v_state(s210, c_ready)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[32053, 32045, 32018])).
% 9.38/6.82 tff(32055,plain,
% 9.38/6.82 (always3(s210)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[6481, 22, 32041])).
% 9.38/6.82 tff(32056,plain,
% 9.38/6.82 (~m_main_v_state(s210, c_busy)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31746, 170, 32055])).
% 9.38/6.82 tff(32057,plain,
% 9.38/6.82 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s210, c_busy) | m_main_v_state(s210, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s210, c_busy) | m_main_v_state(s210, c_ready))),
% 9.38/6.82 inference(rewrite,[status(thm)],[])).
% 9.38/6.82 tff(32058,plain,
% 9.38/6.82 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s210, c_busy) | m_main_v_state(s210, c_ready))),
% 9.38/6.82 inference(quant_inst,[status(thm)],[])).
% 9.38/6.82 tff(32059,plain,
% 9.38/6.82 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s210, c_busy) | m_main_v_state(s210, c_ready)),
% 9.38/6.82 inference(modus_ponens,[status(thm)],[32058, 32057])).
% 9.38/6.82 tff(32060,plain,
% 9.38/6.82 ($false),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[32059, 213, 32056, 32054])).
% 9.38/6.82 tff(32061,plain,((~until5(s210)) | xuntil6(s214) | m_main_v_state(s215, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.38/6.82 tff(32062,plain,
% 9.38/6.82 (m_main_v_state(s215, c_busy)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[32061, 31878, 31839])).
% 9.38/6.82 tff(32063,plain,
% 9.38/6.82 ($false),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[31870, 170, 31840, 32062])).
% 9.38/6.82 tff(32064,plain,(xuntil6(s215) | (~until5(s210)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.82 tff(32065,plain,
% 9.38/6.82 (xuntil6(s215)),
% 9.38/6.82 inference(unit_resolution,[status(thm)],[32064, 31838, 5071])).
% 9.38/6.83 tff(32066,plain,
% 9.38/6.83 (until5(s216)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10903, 32065])).
% 9.38/6.83 tff(32067,assumption,(~xuntil6(s216)), introduced(assumption)).
% 9.38/6.83 tff(32068,assumption,(~always3(s216)), introduced(assumption)).
% 9.38/6.83 tff(32069,plain,
% 9.38/6.83 (~always3(s215)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[6331, 32068])).
% 9.38/6.83 tff(32070,plain,
% 9.38/6.83 (xuntil6(s215)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10898, 32069, 6320])).
% 9.38/6.83 tff(32071,plain,
% 9.38/6.83 (until5(s216)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10903, 32070])).
% 9.38/6.83 tff(32072,plain,
% 9.38/6.83 (node4(s216) | (~until5(s216))),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10910, 36, 32067])).
% 9.38/6.83 tff(32073,plain,
% 9.38/6.83 (node4(s216)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32072, 32071])).
% 9.38/6.83 tff(32074,plain,
% 9.38/6.83 ($false),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[6318, 22, 32068, 32073])).
% 9.38/6.83 tff(32075,plain,(always3(s216) | xuntil6(s216) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.83 tff(32076,plain,
% 9.38/6.83 (always3(s216)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32075, 32067, 6320])).
% 9.38/6.83 tff(32077,plain,
% 9.38/6.83 (always3(s217)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[6314, 32076])).
% 9.38/6.83 tff(32078,plain,
% 9.38/6.83 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s217)) | (~m_main_v_state(s217, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s217)) | (~m_main_v_state(s217, c_busy)))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32079,plain,
% 9.38/6.83 (((~m_main_v_state(s217, c_busy)) | (~always3(s217))) <=> ((~always3(s217)) | (~m_main_v_state(s217, c_busy)))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32080,plain,
% 9.38/6.83 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s217, c_busy)) | (~always3(s217)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s217)) | (~m_main_v_state(s217, c_busy))))),
% 9.38/6.83 inference(monotonicity,[status(thm)],[32079])).
% 9.38/6.83 tff(32081,plain,
% 9.38/6.83 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s217, c_busy)) | (~always3(s217)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s217)) | (~m_main_v_state(s217, c_busy)))),
% 9.38/6.83 inference(transitivity,[status(thm)],[32080, 32078])).
% 9.38/6.83 tff(32082,plain,
% 9.38/6.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s217, c_busy)) | (~always3(s217)))),
% 9.38/6.83 inference(quant_inst,[status(thm)],[])).
% 9.38/6.83 tff(32083,plain,
% 9.38/6.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s217)) | (~m_main_v_state(s217, c_busy))),
% 9.38/6.83 inference(modus_ponens,[status(thm)],[32082, 32081])).
% 9.38/6.83 tff(32084,plain,
% 9.38/6.83 (~m_main_v_state(s217, c_busy)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32083, 170, 32077])).
% 9.38/6.83 tff(32085,assumption,(until5(s216)), introduced(assumption)).
% 9.38/6.83 tff(32086,plain,
% 9.38/6.83 (xuntil6(s216) | node4(s216)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10910, 36, 32085])).
% 9.38/6.83 tff(32087,plain,
% 9.38/6.83 (node4(s216)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32086, 32067])).
% 9.38/6.83 tff(32088,plain,
% 9.38/6.83 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s216) | (~node4(s216)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s216) | (~node4(s216)))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32089,plain,
% 9.38/6.83 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s216) | (~node4(s216)))),
% 9.38/6.83 inference(quant_inst,[status(thm)],[])).
% 9.38/6.83 tff(32090,plain,
% 9.38/6.83 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s216) | (~node4(s216))),
% 9.38/6.83 inference(modus_ponens,[status(thm)],[32089, 32088])).
% 9.38/6.83 tff(32091,plain,
% 9.38/6.83 (m_main_v_request(s216)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32090, 154, 32087])).
% 9.38/6.83 tff(32092,plain,
% 9.38/6.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s216, s217)) | node2(s216, s217))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s216, s217)) | node2(s216, s217))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32093,plain,
% 9.38/6.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s216, s217)) | node2(s216, s217))),
% 9.38/6.83 inference(quant_inst,[status(thm)],[])).
% 9.38/6.83 tff(32094,plain,
% 9.38/6.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s216, s217)) | node2(s216, s217)),
% 9.38/6.83 inference(modus_ponens,[status(thm)],[32093, 32092])).
% 9.38/6.83 tff(32095,plain,
% 9.38/6.83 (node2(s216, s217)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32094, 7, 6310])).
% 9.38/6.83 tff(32096,plain,
% 9.38/6.83 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s216, c_ready)) | (~node2(s216, s217)) | m_main_v_state(s217, c_busy) | (~m_main_v_request(s216)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s216, c_ready)) | (~node2(s216, s217)) | m_main_v_state(s217, c_busy) | (~m_main_v_request(s216)))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32097,plain,
% 9.38/6.83 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s216, c_ready)) | (~node2(s216, s217)) | m_main_v_state(s217, c_busy) | (~m_main_v_request(s216)))),
% 9.38/6.83 inference(quant_inst,[status(thm)],[])).
% 9.38/6.83 tff(32098,plain,
% 9.38/6.83 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s216, c_ready)) | (~node2(s216, s217)) | m_main_v_state(s217, c_busy) | (~m_main_v_request(s216))),
% 9.38/6.83 inference(modus_ponens,[status(thm)],[32097, 32096])).
% 9.38/6.83 tff(32099,plain,
% 9.38/6.83 ((~m_main_v_state(s216, c_ready)) | m_main_v_state(s217, c_busy) | (~m_main_v_request(s216))),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32098, 191, 32095])).
% 9.38/6.83 tff(32100,plain,
% 9.38/6.83 (~m_main_v_state(s216, c_ready)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32099, 32091, 32084])).
% 9.38/6.83 tff(32101,plain,
% 9.38/6.83 (~m_main_v_state(s216, c_busy)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[31847, 170, 32076])).
% 9.38/6.83 tff(32102,plain,
% 9.38/6.83 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s216, c_busy) | m_main_v_state(s216, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s216, c_busy) | m_main_v_state(s216, c_ready))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32103,plain,
% 9.38/6.83 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s216, c_busy) | m_main_v_state(s216, c_ready))),
% 9.38/6.83 inference(quant_inst,[status(thm)],[])).
% 9.38/6.83 tff(32104,plain,
% 9.38/6.83 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s216, c_busy) | m_main_v_state(s216, c_ready)),
% 9.38/6.83 inference(modus_ponens,[status(thm)],[32103, 32102])).
% 9.38/6.83 tff(32105,plain,
% 9.38/6.83 ($false),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32104, 213, 32101, 32100])).
% 9.38/6.83 tff(32106,plain,(xuntil6(s216) | (~until5(s216)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.83 tff(32107,plain,
% 9.38/6.83 (xuntil6(s216)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32106, 32066, 5071])).
% 9.38/6.83 tff(32108,plain,
% 9.38/6.83 (until5(s217)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10916, 32107])).
% 9.38/6.83 tff(32109,assumption,(~xuntil6(s218)), introduced(assumption)).
% 9.38/6.83 tff(32110,assumption,(~always3(s218)), introduced(assumption)).
% 9.38/6.83 tff(32111,plain,
% 9.38/6.83 (~always3(s217)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[6298, 32110])).
% 9.38/6.83 tff(32112,plain,
% 9.38/6.83 (~node4(s217)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[6302, 22, 32111])).
% 9.38/6.83 tff(32113,plain,
% 9.38/6.83 (~node4(s218)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10932, 22, 32110])).
% 9.38/6.83 tff(32114,plain,
% 9.38/6.83 (node4(s218) | (~until5(s218))),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10939, 36, 32109])).
% 9.38/6.83 tff(32115,plain,
% 9.38/6.83 (~until5(s218)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32114, 32113])).
% 9.38/6.83 tff(32116,plain,
% 9.38/6.83 (~xuntil6(s217)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10928, 32115])).
% 9.38/6.83 tff(32117,plain,
% 9.38/6.83 (~always3(s216)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[6314, 32111])).
% 9.38/6.83 tff(32118,plain,
% 9.38/6.83 (~node4(s216)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[6318, 22, 32117])).
% 9.38/6.83 tff(32119,plain,
% 9.38/6.83 (~always3(s215)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[6331, 32117])).
% 9.38/6.83 tff(32120,plain,
% 9.38/6.83 (xuntil6(s215)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10898, 32119, 6320])).
% 9.38/6.83 tff(32121,plain,
% 9.38/6.83 (until5(s216)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10903, 32120])).
% 9.38/6.83 tff(32122,plain,
% 9.38/6.83 (xuntil6(s216) | node4(s216)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10910, 36, 32121])).
% 9.38/6.83 tff(32123,plain,
% 9.38/6.83 (xuntil6(s216)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32122, 32118])).
% 9.38/6.83 tff(32124,plain,
% 9.38/6.83 (until5(s217)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10916, 32123])).
% 9.38/6.83 tff(32125,plain,
% 9.38/6.83 ($false),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10923, 36, 32124, 32116, 32112])).
% 9.38/6.83 tff(32126,plain,(always3(s218) | xuntil6(s218) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.83 tff(32127,plain,
% 9.38/6.83 (always3(s218)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32126, 32109, 6320])).
% 9.38/6.83 tff(32128,plain,
% 9.38/6.83 (always3(s219)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[6286, 32127])).
% 9.38/6.83 tff(32129,plain,
% 9.38/6.83 (((~![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)))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32130,plain,
% 9.38/6.83 (((~m_main_v_state(s219, c_busy)) | (~always3(s219))) <=> ((~always3(s219)) | (~m_main_v_state(s219, c_busy)))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32131,plain,
% 9.38/6.83 (((~![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))))),
% 9.38/6.83 inference(monotonicity,[status(thm)],[32130])).
% 9.38/6.83 tff(32132,plain,
% 9.38/6.83 (((~![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)))),
% 9.38/6.83 inference(transitivity,[status(thm)],[32131, 32129])).
% 9.38/6.83 tff(32133,plain,
% 9.38/6.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s219, c_busy)) | (~always3(s219)))),
% 9.38/6.83 inference(quant_inst,[status(thm)],[])).
% 9.38/6.83 tff(32134,plain,
% 9.38/6.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s219)) | (~m_main_v_state(s219, c_busy))),
% 9.38/6.83 inference(modus_ponens,[status(thm)],[32133, 32132])).
% 9.38/6.83 tff(32135,plain,
% 9.38/6.83 (~m_main_v_state(s219, c_busy)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32134, 170, 32128])).
% 9.38/6.83 tff(32136,assumption,(until5(s218)), introduced(assumption)).
% 9.38/6.83 tff(32137,plain,
% 9.38/6.83 (xuntil6(s218) | node4(s218)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10939, 36, 32136])).
% 9.38/6.83 tff(32138,plain,
% 9.38/6.83 (node4(s218)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32137, 32109])).
% 9.38/6.83 tff(32139,plain,
% 9.38/6.83 (((~![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)))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32140,plain,
% 9.38/6.83 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s218) | (~node4(s218)))),
% 9.38/6.83 inference(quant_inst,[status(thm)],[])).
% 9.38/6.83 tff(32141,plain,
% 9.38/6.83 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s218) | (~node4(s218))),
% 9.38/6.83 inference(modus_ponens,[status(thm)],[32140, 32139])).
% 9.38/6.83 tff(32142,plain,
% 9.38/6.83 (m_main_v_request(s218)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32141, 154, 32138])).
% 9.38/6.83 tff(32143,plain,
% 9.38/6.83 (((~![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))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32144,plain,
% 9.38/6.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s218, s219)) | node2(s218, s219))),
% 9.38/6.83 inference(quant_inst,[status(thm)],[])).
% 9.38/6.83 tff(32145,plain,
% 9.38/6.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s218, s219)) | node2(s218, s219)),
% 9.38/6.83 inference(modus_ponens,[status(thm)],[32144, 32143])).
% 9.38/6.83 tff(32146,plain,
% 9.38/6.83 (node2(s218, s219)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32145, 7, 6282])).
% 9.38/6.83 tff(32147,plain,
% 9.38/6.83 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32148,plain,
% 9.38/6.83 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.38/6.83 inference(quant_inst,[status(thm)],[])).
% 9.38/6.83 tff(32149,plain,
% 9.38/6.83 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 9.38/6.83 inference(modus_ponens,[status(thm)],[32148, 32147])).
% 9.38/6.83 tff(32150,plain,
% 9.38/6.83 ((~m_main_v_state(s218, c_ready)) | m_main_v_state(s219, c_busy) | (~m_main_v_request(s218))),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32149, 191, 32146])).
% 9.38/6.83 tff(32151,plain,
% 9.38/6.83 (~m_main_v_state(s218, c_ready)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32150, 32142, 32135])).
% 9.38/6.83 tff(32152,plain,
% 9.38/6.83 (((~![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)))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32153,plain,
% 9.38/6.83 (((~m_main_v_state(s218, c_busy)) | (~always3(s218))) <=> ((~always3(s218)) | (~m_main_v_state(s218, c_busy)))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32154,plain,
% 9.38/6.83 (((~![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))))),
% 9.38/6.83 inference(monotonicity,[status(thm)],[32153])).
% 9.38/6.83 tff(32155,plain,
% 9.38/6.83 (((~![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)))),
% 9.38/6.83 inference(transitivity,[status(thm)],[32154, 32152])).
% 9.38/6.83 tff(32156,plain,
% 9.38/6.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s218, c_busy)) | (~always3(s218)))),
% 9.38/6.83 inference(quant_inst,[status(thm)],[])).
% 9.38/6.83 tff(32157,plain,
% 9.38/6.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s218)) | (~m_main_v_state(s218, c_busy))),
% 9.38/6.83 inference(modus_ponens,[status(thm)],[32156, 32155])).
% 9.38/6.83 tff(32158,plain,
% 9.38/6.83 (~m_main_v_state(s218, c_busy)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32157, 170, 32127])).
% 9.38/6.83 tff(32159,plain,
% 9.38/6.83 (((~![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))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32160,plain,
% 9.38/6.83 ((~![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))),
% 9.38/6.83 inference(quant_inst,[status(thm)],[])).
% 9.38/6.83 tff(32161,plain,
% 9.38/6.83 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s218, c_busy) | m_main_v_state(s218, c_ready)),
% 9.38/6.83 inference(modus_ponens,[status(thm)],[32160, 32159])).
% 9.38/6.83 tff(32162,plain,
% 9.38/6.83 ($false),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32161, 213, 32158, 32151])).
% 9.38/6.83 tff(32163,plain,(xuntil6(s218) | (~until5(s218)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.83 tff(32164,plain,
% 9.38/6.83 (~until5(s218)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32163, 32109, 6320])).
% 9.38/6.83 tff(32165,plain,
% 9.38/6.83 (~xuntil6(s217)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10928, 32164])).
% 9.38/6.83 tff(32166,assumption,(until5(s217)), introduced(assumption)).
% 9.38/6.83 tff(32167,plain,
% 9.38/6.83 (xuntil6(s217) | node4(s217)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10923, 36, 32166])).
% 9.38/6.83 tff(32168,plain,
% 9.38/6.83 (node4(s217)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32167, 32165])).
% 9.38/6.83 tff(32169,assumption,(~m_main_v_state(s218, c_busy)), introduced(assumption)).
% 9.38/6.83 tff(32170,assumption,(node4(s217)), introduced(assumption)).
% 9.38/6.83 tff(32171,plain,
% 9.38/6.83 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s217) | (~node4(s217)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s217) | (~node4(s217)))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32172,plain,
% 9.38/6.83 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s217) | (~node4(s217)))),
% 9.38/6.83 inference(quant_inst,[status(thm)],[])).
% 9.38/6.83 tff(32173,plain,
% 9.38/6.83 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s217) | (~node4(s217))),
% 9.38/6.83 inference(modus_ponens,[status(thm)],[32172, 32171])).
% 9.38/6.83 tff(32174,plain,
% 9.38/6.83 (m_main_v_request(s217)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32173, 154, 32170])).
% 9.38/6.83 tff(32175,plain,
% 9.38/6.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s217, s218)) | node2(s217, s218))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s217, s218)) | node2(s217, s218))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32176,plain,
% 9.38/6.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s217, s218)) | node2(s217, s218))),
% 9.38/6.83 inference(quant_inst,[status(thm)],[])).
% 9.38/6.83 tff(32177,plain,
% 9.38/6.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s217, s218)) | node2(s217, s218)),
% 9.38/6.83 inference(modus_ponens,[status(thm)],[32176, 32175])).
% 9.38/6.83 tff(32178,plain,
% 9.38/6.83 (node2(s217, s218)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32177, 7, 6294])).
% 9.38/6.83 tff(32179,plain,
% 9.38/6.83 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s217, c_ready)) | (~node2(s217, s218)) | m_main_v_state(s218, c_busy) | (~m_main_v_request(s217)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s217, c_ready)) | (~node2(s217, s218)) | m_main_v_state(s218, c_busy) | (~m_main_v_request(s217)))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32180,plain,
% 9.38/6.83 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s217, c_ready)) | (~node2(s217, s218)) | m_main_v_state(s218, c_busy) | (~m_main_v_request(s217)))),
% 9.38/6.83 inference(quant_inst,[status(thm)],[])).
% 9.38/6.83 tff(32181,plain,
% 9.38/6.83 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s217, c_ready)) | (~node2(s217, s218)) | m_main_v_state(s218, c_busy) | (~m_main_v_request(s217))),
% 9.38/6.83 inference(modus_ponens,[status(thm)],[32180, 32179])).
% 9.38/6.83 tff(32182,plain,
% 9.38/6.83 ((~m_main_v_state(s217, c_ready)) | m_main_v_state(s218, c_busy) | (~m_main_v_request(s217))),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32181, 191, 32178])).
% 9.38/6.83 tff(32183,plain,
% 9.38/6.83 (~m_main_v_state(s217, c_ready)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32182, 32174, 32169])).
% 9.38/6.83 tff(32184,plain,
% 9.38/6.83 (always3(s217)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[6302, 22, 32170])).
% 9.38/6.83 tff(32185,plain,
% 9.38/6.83 (~m_main_v_state(s217, c_busy)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32083, 170, 32184])).
% 9.38/6.83 tff(32186,plain,
% 9.38/6.83 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s217, c_busy) | m_main_v_state(s217, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s217, c_busy) | m_main_v_state(s217, c_ready))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32187,plain,
% 9.38/6.83 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s217, c_busy) | m_main_v_state(s217, c_ready))),
% 9.38/6.83 inference(quant_inst,[status(thm)],[])).
% 9.38/6.83 tff(32188,plain,
% 9.38/6.83 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s217, c_busy) | m_main_v_state(s217, c_ready)),
% 9.38/6.83 inference(modus_ponens,[status(thm)],[32187, 32186])).
% 9.38/6.83 tff(32189,plain,
% 9.38/6.83 ($false),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32188, 213, 32185, 32183])).
% 9.38/6.83 tff(32190,plain,((~node4(s217)) | m_main_v_state(s218, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.38/6.83 tff(32191,plain,
% 9.38/6.83 (m_main_v_state(s218, c_busy)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32190, 32168])).
% 9.38/6.83 tff(32192,plain,
% 9.38/6.83 ($false),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32157, 170, 32127, 32191])).
% 9.38/6.83 tff(32193,plain,(xuntil6(s218) | (~until5(s217)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.83 tff(32194,plain,
% 9.38/6.83 (xuntil6(s218)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32193, 32108, 5071])).
% 9.38/6.83 tff(32195,plain,
% 9.38/6.83 (until5(s219)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10945, 32194])).
% 9.38/6.83 tff(32196,assumption,(~xuntil6(s220)), introduced(assumption)).
% 9.38/6.83 tff(32197,assumption,(~always3(s220)), introduced(assumption)).
% 9.38/6.83 tff(32198,plain,
% 9.38/6.83 (~always3(s219)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[6274, 32197])).
% 9.38/6.83 tff(32199,plain,
% 9.38/6.83 (~node4(s219)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10949, 22, 32198])).
% 9.38/6.83 tff(32200,plain,
% 9.38/6.83 (~node4(s220)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10966, 22, 32197])).
% 9.38/6.83 tff(32201,plain,
% 9.38/6.83 (node4(s220) | (~until5(s220))),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10973, 36, 32196])).
% 9.38/6.83 tff(32202,plain,
% 9.38/6.83 (~until5(s220)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32201, 32200])).
% 9.38/6.83 tff(32203,plain,
% 9.38/6.83 (~xuntil6(s219)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10962, 32202])).
% 9.38/6.83 tff(32204,plain,
% 9.38/6.83 (~until5(s219)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10956, 36, 32203, 32199])).
% 9.38/6.83 tff(32205,plain,
% 9.38/6.83 (~xuntil6(s218)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10945, 32204])).
% 9.38/6.83 tff(32206,plain,
% 9.38/6.83 (~always3(s218)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[6286, 32198])).
% 9.38/6.83 tff(32207,plain,
% 9.38/6.83 (~always3(s217)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[6298, 32206])).
% 9.38/6.83 tff(32208,plain,
% 9.38/6.83 (~node4(s217)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[6302, 22, 32207])).
% 9.38/6.83 tff(32209,plain,
% 9.38/6.83 (~always3(s216)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[6314, 32207])).
% 9.38/6.83 tff(32210,plain,
% 9.38/6.83 (~node4(s216)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[6318, 22, 32209])).
% 9.38/6.83 tff(32211,plain,
% 9.38/6.83 (~always3(s215)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[6331, 32209])).
% 9.38/6.83 tff(32212,plain,
% 9.38/6.83 (xuntil6(s215)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10898, 32211, 6320])).
% 9.38/6.83 tff(32213,plain,
% 9.38/6.83 (until5(s216)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10903, 32212])).
% 9.38/6.83 tff(32214,plain,
% 9.38/6.83 (xuntil6(s216) | node4(s216)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10910, 36, 32213])).
% 9.38/6.83 tff(32215,plain,
% 9.38/6.83 (xuntil6(s216)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32214, 32210])).
% 9.38/6.83 tff(32216,plain,
% 9.38/6.83 (until5(s217)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10916, 32215])).
% 9.38/6.83 tff(32217,plain,
% 9.38/6.83 (xuntil6(s217)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10923, 36, 32216, 32208])).
% 9.38/6.83 tff(32218,plain,
% 9.38/6.83 (until5(s218)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10928, 32217])).
% 9.38/6.83 tff(32219,plain,
% 9.38/6.83 (~node4(s218)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10932, 22, 32206])).
% 9.38/6.83 tff(32220,plain,
% 9.38/6.83 (xuntil6(s218) | (~until5(s218))),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10939, 36, 32219])).
% 9.38/6.83 tff(32221,plain,
% 9.38/6.83 ($false),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32220, 32218, 32205])).
% 9.38/6.83 tff(32222,plain,(always3(s220) | xuntil6(s220) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.83 tff(32223,plain,
% 9.38/6.83 (always3(s220)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32222, 32196, 6320])).
% 9.38/6.83 tff(32224,plain,
% 9.38/6.83 (always3(s221)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[6262, 32223])).
% 9.38/6.83 tff(32225,plain,
% 9.38/6.83 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s221)) | (~m_main_v_state(s221, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s221)) | (~m_main_v_state(s221, c_busy)))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32226,plain,
% 9.38/6.83 (((~m_main_v_state(s221, c_busy)) | (~always3(s221))) <=> ((~always3(s221)) | (~m_main_v_state(s221, c_busy)))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32227,plain,
% 9.38/6.83 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s221, c_busy)) | (~always3(s221)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s221)) | (~m_main_v_state(s221, c_busy))))),
% 9.38/6.83 inference(monotonicity,[status(thm)],[32226])).
% 9.38/6.83 tff(32228,plain,
% 9.38/6.83 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s221, c_busy)) | (~always3(s221)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s221)) | (~m_main_v_state(s221, c_busy)))),
% 9.38/6.83 inference(transitivity,[status(thm)],[32227, 32225])).
% 9.38/6.83 tff(32229,plain,
% 9.38/6.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s221, c_busy)) | (~always3(s221)))),
% 9.38/6.83 inference(quant_inst,[status(thm)],[])).
% 9.38/6.83 tff(32230,plain,
% 9.38/6.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s221)) | (~m_main_v_state(s221, c_busy))),
% 9.38/6.83 inference(modus_ponens,[status(thm)],[32229, 32228])).
% 9.38/6.83 tff(32231,plain,
% 9.38/6.83 (~m_main_v_state(s221, c_busy)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32230, 170, 32224])).
% 9.38/6.83 tff(32232,assumption,(until5(s220)), introduced(assumption)).
% 9.38/6.83 tff(32233,plain,
% 9.38/6.83 (xuntil6(s220) | node4(s220)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10973, 36, 32232])).
% 9.38/6.83 tff(32234,plain,
% 9.38/6.83 (node4(s220)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32233, 32196])).
% 9.38/6.83 tff(32235,plain,
% 9.38/6.83 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s220) | (~node4(s220)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s220) | (~node4(s220)))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32236,plain,
% 9.38/6.83 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s220) | (~node4(s220)))),
% 9.38/6.83 inference(quant_inst,[status(thm)],[])).
% 9.38/6.83 tff(32237,plain,
% 9.38/6.83 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s220) | (~node4(s220))),
% 9.38/6.83 inference(modus_ponens,[status(thm)],[32236, 32235])).
% 9.38/6.83 tff(32238,plain,
% 9.38/6.83 (m_main_v_request(s220)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32237, 154, 32234])).
% 9.38/6.83 tff(32239,plain,
% 9.38/6.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s220, s221)) | node2(s220, s221))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s220, s221)) | node2(s220, s221))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32240,plain,
% 9.38/6.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s220, s221)) | node2(s220, s221))),
% 9.38/6.83 inference(quant_inst,[status(thm)],[])).
% 9.38/6.83 tff(32241,plain,
% 9.38/6.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s220, s221)) | node2(s220, s221)),
% 9.38/6.83 inference(modus_ponens,[status(thm)],[32240, 32239])).
% 9.38/6.83 tff(32242,plain,
% 9.38/6.83 (node2(s220, s221)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32241, 7, 6258])).
% 9.38/6.83 tff(32243,plain,
% 9.38/6.83 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s220, c_ready)) | (~node2(s220, s221)) | m_main_v_state(s221, c_busy) | (~m_main_v_request(s220)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s220, c_ready)) | (~node2(s220, s221)) | m_main_v_state(s221, c_busy) | (~m_main_v_request(s220)))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32244,plain,
% 9.38/6.83 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s220, c_ready)) | (~node2(s220, s221)) | m_main_v_state(s221, c_busy) | (~m_main_v_request(s220)))),
% 9.38/6.83 inference(quant_inst,[status(thm)],[])).
% 9.38/6.83 tff(32245,plain,
% 9.38/6.83 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s220, c_ready)) | (~node2(s220, s221)) | m_main_v_state(s221, c_busy) | (~m_main_v_request(s220))),
% 9.38/6.83 inference(modus_ponens,[status(thm)],[32244, 32243])).
% 9.38/6.83 tff(32246,plain,
% 9.38/6.83 ((~m_main_v_state(s220, c_ready)) | m_main_v_state(s221, c_busy) | (~m_main_v_request(s220))),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32245, 191, 32242])).
% 9.38/6.83 tff(32247,plain,
% 9.38/6.83 (~m_main_v_state(s220, c_ready)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32246, 32238, 32231])).
% 9.38/6.83 tff(32248,plain,
% 9.38/6.83 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s220)) | (~m_main_v_state(s220, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s220)) | (~m_main_v_state(s220, c_busy)))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32249,plain,
% 9.38/6.83 (((~m_main_v_state(s220, c_busy)) | (~always3(s220))) <=> ((~always3(s220)) | (~m_main_v_state(s220, c_busy)))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32250,plain,
% 9.38/6.83 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s220, c_busy)) | (~always3(s220)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s220)) | (~m_main_v_state(s220, c_busy))))),
% 9.38/6.83 inference(monotonicity,[status(thm)],[32249])).
% 9.38/6.83 tff(32251,plain,
% 9.38/6.83 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s220, c_busy)) | (~always3(s220)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s220)) | (~m_main_v_state(s220, c_busy)))),
% 9.38/6.83 inference(transitivity,[status(thm)],[32250, 32248])).
% 9.38/6.83 tff(32252,plain,
% 9.38/6.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s220, c_busy)) | (~always3(s220)))),
% 9.38/6.83 inference(quant_inst,[status(thm)],[])).
% 9.38/6.83 tff(32253,plain,
% 9.38/6.83 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s220)) | (~m_main_v_state(s220, c_busy))),
% 9.38/6.83 inference(modus_ponens,[status(thm)],[32252, 32251])).
% 9.38/6.83 tff(32254,plain,
% 9.38/6.83 (~m_main_v_state(s220, c_busy)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32253, 170, 32223])).
% 9.38/6.83 tff(32255,plain,
% 9.38/6.83 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s220, c_busy) | m_main_v_state(s220, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s220, c_busy) | m_main_v_state(s220, c_ready))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32256,plain,
% 9.38/6.83 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s220, c_busy) | m_main_v_state(s220, c_ready))),
% 9.38/6.83 inference(quant_inst,[status(thm)],[])).
% 9.38/6.83 tff(32257,plain,
% 9.38/6.83 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s220, c_busy) | m_main_v_state(s220, c_ready)),
% 9.38/6.83 inference(modus_ponens,[status(thm)],[32256, 32255])).
% 9.38/6.83 tff(32258,plain,
% 9.38/6.83 ($false),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32257, 213, 32254, 32247])).
% 9.38/6.83 tff(32259,plain,(xuntil6(s220) | (~until5(s220)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.83 tff(32260,plain,
% 9.38/6.83 (~until5(s220)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32259, 32196, 6320])).
% 9.38/6.83 tff(32261,plain,
% 9.38/6.83 (~xuntil6(s219)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10962, 32260])).
% 9.38/6.83 tff(32262,assumption,(until5(s219)), introduced(assumption)).
% 9.38/6.83 tff(32263,plain,
% 9.38/6.83 (xuntil6(s219) | node4(s219)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10956, 36, 32262])).
% 9.38/6.83 tff(32264,plain,
% 9.38/6.83 (node4(s219)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32263, 32261])).
% 9.38/6.83 tff(32265,assumption,(~m_main_v_state(s220, c_busy)), introduced(assumption)).
% 9.38/6.83 tff(32266,assumption,(node4(s219)), introduced(assumption)).
% 9.38/6.83 tff(32267,plain,
% 9.38/6.83 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s219) | (~node4(s219)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s219) | (~node4(s219)))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32268,plain,
% 9.38/6.83 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s219) | (~node4(s219)))),
% 9.38/6.83 inference(quant_inst,[status(thm)],[])).
% 9.38/6.83 tff(32269,plain,
% 9.38/6.83 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s219) | (~node4(s219))),
% 9.38/6.83 inference(modus_ponens,[status(thm)],[32268, 32267])).
% 9.38/6.83 tff(32270,plain,
% 9.38/6.83 (m_main_v_request(s219)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32269, 154, 32266])).
% 9.38/6.83 tff(32271,plain,
% 9.38/6.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s219, s220)) | node2(s219, s220))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s219, s220)) | node2(s219, s220))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32272,plain,
% 9.38/6.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s219, s220)) | node2(s219, s220))),
% 9.38/6.83 inference(quant_inst,[status(thm)],[])).
% 9.38/6.83 tff(32273,plain,
% 9.38/6.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s219, s220)) | node2(s219, s220)),
% 9.38/6.83 inference(modus_ponens,[status(thm)],[32272, 32271])).
% 9.38/6.83 tff(32274,plain,
% 9.38/6.83 (node2(s219, s220)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32273, 7, 6270])).
% 9.38/6.83 tff(32275,plain,
% 9.38/6.83 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s219, c_ready)) | (~node2(s219, s220)) | m_main_v_state(s220, c_busy) | (~m_main_v_request(s219)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s219, c_ready)) | (~node2(s219, s220)) | m_main_v_state(s220, c_busy) | (~m_main_v_request(s219)))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32276,plain,
% 9.38/6.83 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s219, c_ready)) | (~node2(s219, s220)) | m_main_v_state(s220, c_busy) | (~m_main_v_request(s219)))),
% 9.38/6.83 inference(quant_inst,[status(thm)],[])).
% 9.38/6.83 tff(32277,plain,
% 9.38/6.83 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s219, c_ready)) | (~node2(s219, s220)) | m_main_v_state(s220, c_busy) | (~m_main_v_request(s219))),
% 9.38/6.83 inference(modus_ponens,[status(thm)],[32276, 32275])).
% 9.38/6.83 tff(32278,plain,
% 9.38/6.83 ((~m_main_v_state(s219, c_ready)) | m_main_v_state(s220, c_busy) | (~m_main_v_request(s219))),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32277, 191, 32274])).
% 9.38/6.83 tff(32279,plain,
% 9.38/6.83 (~m_main_v_state(s219, c_ready)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32278, 32270, 32265])).
% 9.38/6.83 tff(32280,plain,
% 9.38/6.83 (always3(s219)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10949, 22, 32266])).
% 9.38/6.83 tff(32281,plain,
% 9.38/6.83 (~m_main_v_state(s219, c_busy)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32134, 170, 32280])).
% 9.38/6.83 tff(32282,plain,
% 9.38/6.83 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s219, c_busy) | m_main_v_state(s219, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s219, c_busy) | m_main_v_state(s219, c_ready))),
% 9.38/6.83 inference(rewrite,[status(thm)],[])).
% 9.38/6.83 tff(32283,plain,
% 9.38/6.83 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s219, c_busy) | m_main_v_state(s219, c_ready))),
% 9.38/6.83 inference(quant_inst,[status(thm)],[])).
% 9.38/6.83 tff(32284,plain,
% 9.38/6.83 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s219, c_busy) | m_main_v_state(s219, c_ready)),
% 9.38/6.83 inference(modus_ponens,[status(thm)],[32283, 32282])).
% 9.38/6.83 tff(32285,plain,
% 9.38/6.83 ($false),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32284, 213, 32281, 32279])).
% 9.38/6.83 tff(32286,plain,((~node4(s219)) | m_main_v_state(s220, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.38/6.83 tff(32287,plain,
% 9.38/6.83 (m_main_v_state(s220, c_busy)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32286, 32264])).
% 9.38/6.83 tff(32288,plain,
% 9.38/6.83 ($false),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32253, 170, 32223, 32287])).
% 9.38/6.83 tff(32289,plain,(xuntil6(s220) | (~until5(s219)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.83 tff(32290,plain,
% 9.38/6.83 (xuntil6(s220)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32289, 32195, 5071])).
% 9.38/6.83 tff(32291,plain,
% 9.38/6.83 (until5(s221)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10979, 32290])).
% 9.38/6.83 tff(32292,assumption,(~xuntil6(s222)), introduced(assumption)).
% 9.38/6.83 tff(32293,assumption,(~always3(s222)), introduced(assumption)).
% 9.38/6.83 tff(32294,plain,
% 9.38/6.83 (~always3(s221)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[6250, 32293])).
% 9.38/6.83 tff(32295,plain,
% 9.38/6.83 (~node4(s221)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10983, 22, 32294])).
% 9.38/6.83 tff(32296,plain,
% 9.38/6.83 (~node4(s222)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[11000, 22, 32293])).
% 9.38/6.83 tff(32297,plain,
% 9.38/6.83 (node4(s222) | (~until5(s222))),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[11007, 36, 32292])).
% 9.38/6.83 tff(32298,plain,
% 9.38/6.83 (~until5(s222)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[32297, 32296])).
% 9.38/6.83 tff(32299,plain,
% 9.38/6.83 (~xuntil6(s221)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10996, 32298])).
% 9.38/6.83 tff(32300,plain,
% 9.38/6.83 (~until5(s221)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10990, 36, 32299, 32295])).
% 9.38/6.83 tff(32301,plain,
% 9.38/6.83 (~xuntil6(s220)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10979, 32300])).
% 9.38/6.83 tff(32302,plain,
% 9.38/6.83 (~always3(s220)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[6262, 32294])).
% 9.38/6.83 tff(32303,plain,
% 9.38/6.83 (~node4(s220)),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10966, 22, 32302])).
% 9.38/6.83 tff(32304,plain,
% 9.38/6.83 (xuntil6(s220) | (~until5(s220))),
% 9.38/6.83 inference(unit_resolution,[status(thm)],[10973, 36, 32303])).
% 9.38/6.84 tff(32305,plain,
% 9.38/6.84 (~until5(s220)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32304, 32301])).
% 9.38/6.84 tff(32306,plain,
% 9.38/6.84 (~xuntil6(s219)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10962, 32305])).
% 9.38/6.84 tff(32307,plain,
% 9.38/6.84 (~always3(s219)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6274, 32302])).
% 9.38/6.84 tff(32308,plain,
% 9.38/6.84 (~always3(s218)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6286, 32307])).
% 9.38/6.84 tff(32309,plain,
% 9.38/6.84 (~always3(s217)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6298, 32308])).
% 9.38/6.84 tff(32310,plain,
% 9.38/6.84 (~node4(s217)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6302, 22, 32309])).
% 9.38/6.84 tff(32311,plain,
% 9.38/6.84 (~always3(s216)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6314, 32309])).
% 9.38/6.84 tff(32312,plain,
% 9.38/6.84 (~node4(s216)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6318, 22, 32311])).
% 9.38/6.84 tff(32313,plain,
% 9.38/6.84 (~always3(s215)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6331, 32311])).
% 9.38/6.84 tff(32314,plain,
% 9.38/6.84 (xuntil6(s215)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10898, 32313, 6320])).
% 9.38/6.84 tff(32315,plain,
% 9.38/6.84 (until5(s216)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10903, 32314])).
% 9.38/6.84 tff(32316,plain,
% 9.38/6.84 (xuntil6(s216) | node4(s216)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10910, 36, 32315])).
% 9.38/6.84 tff(32317,plain,
% 9.38/6.84 (xuntil6(s216)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32316, 32312])).
% 9.38/6.84 tff(32318,plain,
% 9.38/6.84 (until5(s217)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10916, 32317])).
% 9.38/6.84 tff(32319,plain,
% 9.38/6.84 (xuntil6(s217)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10923, 36, 32318, 32310])).
% 9.38/6.84 tff(32320,plain,
% 9.38/6.84 (until5(s218)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10928, 32319])).
% 9.38/6.84 tff(32321,plain,
% 9.38/6.84 (~node4(s218)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10932, 22, 32308])).
% 9.38/6.84 tff(32322,plain,
% 9.38/6.84 (xuntil6(s218) | (~until5(s218))),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10939, 36, 32321])).
% 9.38/6.84 tff(32323,plain,
% 9.38/6.84 (xuntil6(s218)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32322, 32320])).
% 9.38/6.84 tff(32324,plain,
% 9.38/6.84 (until5(s219)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10945, 32323])).
% 9.38/6.84 tff(32325,plain,
% 9.38/6.84 (~node4(s219)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10949, 22, 32307])).
% 9.38/6.84 tff(32326,plain,
% 9.38/6.84 (xuntil6(s219) | (~until5(s219))),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10956, 36, 32325])).
% 9.38/6.84 tff(32327,plain,
% 9.38/6.84 ($false),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32326, 32324, 32306])).
% 9.38/6.84 tff(32328,plain,(always3(s222) | xuntil6(s222) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.84 tff(32329,plain,
% 9.38/6.84 (always3(s222)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32328, 32292, 6320])).
% 9.38/6.84 tff(32330,plain,
% 9.38/6.84 (always3(s223)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6238, 32329])).
% 9.38/6.84 tff(32331,plain,
% 9.38/6.84 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s223)) | (~m_main_v_state(s223, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s223)) | (~m_main_v_state(s223, c_busy)))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32332,plain,
% 9.38/6.84 (((~m_main_v_state(s223, c_busy)) | (~always3(s223))) <=> ((~always3(s223)) | (~m_main_v_state(s223, c_busy)))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32333,plain,
% 9.38/6.84 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s223, c_busy)) | (~always3(s223)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s223)) | (~m_main_v_state(s223, c_busy))))),
% 9.38/6.84 inference(monotonicity,[status(thm)],[32332])).
% 9.38/6.84 tff(32334,plain,
% 9.38/6.84 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s223, c_busy)) | (~always3(s223)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s223)) | (~m_main_v_state(s223, c_busy)))),
% 9.38/6.84 inference(transitivity,[status(thm)],[32333, 32331])).
% 9.38/6.84 tff(32335,plain,
% 9.38/6.84 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s223, c_busy)) | (~always3(s223)))),
% 9.38/6.84 inference(quant_inst,[status(thm)],[])).
% 9.38/6.84 tff(32336,plain,
% 9.38/6.84 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s223)) | (~m_main_v_state(s223, c_busy))),
% 9.38/6.84 inference(modus_ponens,[status(thm)],[32335, 32334])).
% 9.38/6.84 tff(32337,plain,
% 9.38/6.84 (~m_main_v_state(s223, c_busy)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32336, 170, 32330])).
% 9.38/6.84 tff(32338,assumption,(until5(s222)), introduced(assumption)).
% 9.38/6.84 tff(32339,plain,
% 9.38/6.84 (xuntil6(s222) | node4(s222)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11007, 36, 32338])).
% 9.38/6.84 tff(32340,plain,
% 9.38/6.84 (node4(s222)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32339, 32292])).
% 9.38/6.84 tff(32341,plain,
% 9.38/6.84 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s222) | (~node4(s222)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s222) | (~node4(s222)))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32342,plain,
% 9.38/6.84 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s222) | (~node4(s222)))),
% 9.38/6.84 inference(quant_inst,[status(thm)],[])).
% 9.38/6.84 tff(32343,plain,
% 9.38/6.84 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s222) | (~node4(s222))),
% 9.38/6.84 inference(modus_ponens,[status(thm)],[32342, 32341])).
% 9.38/6.84 tff(32344,plain,
% 9.38/6.84 (m_main_v_request(s222)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32343, 154, 32340])).
% 9.38/6.84 tff(32345,plain,
% 9.38/6.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s222, s223)) | node2(s222, s223))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s222, s223)) | node2(s222, s223))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32346,plain,
% 9.38/6.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s222, s223)) | node2(s222, s223))),
% 9.38/6.84 inference(quant_inst,[status(thm)],[])).
% 9.38/6.84 tff(32347,plain,
% 9.38/6.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s222, s223)) | node2(s222, s223)),
% 9.38/6.84 inference(modus_ponens,[status(thm)],[32346, 32345])).
% 9.38/6.84 tff(32348,plain,
% 9.38/6.84 (node2(s222, s223)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32347, 7, 6234])).
% 9.38/6.84 tff(32349,plain,
% 9.38/6.84 (((~![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(s222, c_ready)) | (~node2(s222, s223)) | m_main_v_state(s223, c_busy) | (~m_main_v_request(s222)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s222, c_ready)) | (~node2(s222, s223)) | m_main_v_state(s223, c_busy) | (~m_main_v_request(s222)))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32350,plain,
% 9.38/6.84 ((~![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(s222, c_ready)) | (~node2(s222, s223)) | m_main_v_state(s223, c_busy) | (~m_main_v_request(s222)))),
% 9.38/6.84 inference(quant_inst,[status(thm)],[])).
% 9.38/6.84 tff(32351,plain,
% 9.38/6.84 ((~![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(s222, c_ready)) | (~node2(s222, s223)) | m_main_v_state(s223, c_busy) | (~m_main_v_request(s222))),
% 9.38/6.84 inference(modus_ponens,[status(thm)],[32350, 32349])).
% 9.38/6.84 tff(32352,plain,
% 9.38/6.84 ((~m_main_v_state(s222, c_ready)) | m_main_v_state(s223, c_busy) | (~m_main_v_request(s222))),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32351, 191, 32348])).
% 9.38/6.84 tff(32353,plain,
% 9.38/6.84 (~m_main_v_state(s222, c_ready)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32352, 32344, 32337])).
% 9.38/6.84 tff(32354,plain,
% 9.38/6.84 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s222)) | (~m_main_v_state(s222, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s222)) | (~m_main_v_state(s222, c_busy)))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32355,plain,
% 9.38/6.84 (((~m_main_v_state(s222, c_busy)) | (~always3(s222))) <=> ((~always3(s222)) | (~m_main_v_state(s222, c_busy)))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32356,plain,
% 9.38/6.84 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s222, c_busy)) | (~always3(s222)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s222)) | (~m_main_v_state(s222, c_busy))))),
% 9.38/6.84 inference(monotonicity,[status(thm)],[32355])).
% 9.38/6.84 tff(32357,plain,
% 9.38/6.84 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s222, c_busy)) | (~always3(s222)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s222)) | (~m_main_v_state(s222, c_busy)))),
% 9.38/6.84 inference(transitivity,[status(thm)],[32356, 32354])).
% 9.38/6.84 tff(32358,plain,
% 9.38/6.84 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s222, c_busy)) | (~always3(s222)))),
% 9.38/6.84 inference(quant_inst,[status(thm)],[])).
% 9.38/6.84 tff(32359,plain,
% 9.38/6.84 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s222)) | (~m_main_v_state(s222, c_busy))),
% 9.38/6.84 inference(modus_ponens,[status(thm)],[32358, 32357])).
% 9.38/6.84 tff(32360,plain,
% 9.38/6.84 (~m_main_v_state(s222, c_busy)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32359, 170, 32329])).
% 9.38/6.84 tff(32361,plain,
% 9.38/6.84 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s222, c_busy) | m_main_v_state(s222, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s222, c_busy) | m_main_v_state(s222, c_ready))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32362,plain,
% 9.38/6.84 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s222, c_busy) | m_main_v_state(s222, c_ready))),
% 9.38/6.84 inference(quant_inst,[status(thm)],[])).
% 9.38/6.84 tff(32363,plain,
% 9.38/6.84 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s222, c_busy) | m_main_v_state(s222, c_ready)),
% 9.38/6.84 inference(modus_ponens,[status(thm)],[32362, 32361])).
% 9.38/6.84 tff(32364,plain,
% 9.38/6.84 ($false),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32363, 213, 32360, 32353])).
% 9.38/6.84 tff(32365,plain,(xuntil6(s222) | (~until5(s222)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.84 tff(32366,plain,
% 9.38/6.84 (~until5(s222)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32365, 32292, 6320])).
% 9.38/6.84 tff(32367,plain,
% 9.38/6.84 (~xuntil6(s221)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10996, 32366])).
% 9.38/6.84 tff(32368,assumption,(until5(s221)), introduced(assumption)).
% 9.38/6.84 tff(32369,plain,
% 9.38/6.84 (xuntil6(s221) | node4(s221)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10990, 36, 32368])).
% 9.38/6.84 tff(32370,plain,
% 9.38/6.84 (node4(s221)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32369, 32367])).
% 9.38/6.84 tff(32371,assumption,(~m_main_v_state(s222, c_busy)), introduced(assumption)).
% 9.38/6.84 tff(32372,assumption,(node4(s221)), introduced(assumption)).
% 9.38/6.84 tff(32373,plain,
% 9.38/6.84 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s221) | (~node4(s221)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s221) | (~node4(s221)))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32374,plain,
% 9.38/6.84 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s221) | (~node4(s221)))),
% 9.38/6.84 inference(quant_inst,[status(thm)],[])).
% 9.38/6.84 tff(32375,plain,
% 9.38/6.84 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s221) | (~node4(s221))),
% 9.38/6.84 inference(modus_ponens,[status(thm)],[32374, 32373])).
% 9.38/6.84 tff(32376,plain,
% 9.38/6.84 (m_main_v_request(s221)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32375, 154, 32372])).
% 9.38/6.84 tff(32377,plain,
% 9.38/6.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s221, s222)) | node2(s221, s222))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s221, s222)) | node2(s221, s222))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32378,plain,
% 9.38/6.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s221, s222)) | node2(s221, s222))),
% 9.38/6.84 inference(quant_inst,[status(thm)],[])).
% 9.38/6.84 tff(32379,plain,
% 9.38/6.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s221, s222)) | node2(s221, s222)),
% 9.38/6.84 inference(modus_ponens,[status(thm)],[32378, 32377])).
% 9.38/6.84 tff(32380,plain,
% 9.38/6.84 (node2(s221, s222)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32379, 7, 6246])).
% 9.38/6.84 tff(32381,plain,
% 9.38/6.84 (((~![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(s221, c_ready)) | (~node2(s221, s222)) | m_main_v_state(s222, c_busy) | (~m_main_v_request(s221)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s221, c_ready)) | (~node2(s221, s222)) | m_main_v_state(s222, c_busy) | (~m_main_v_request(s221)))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32382,plain,
% 9.38/6.84 ((~![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(s221, c_ready)) | (~node2(s221, s222)) | m_main_v_state(s222, c_busy) | (~m_main_v_request(s221)))),
% 9.38/6.84 inference(quant_inst,[status(thm)],[])).
% 9.38/6.84 tff(32383,plain,
% 9.38/6.84 ((~![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(s221, c_ready)) | (~node2(s221, s222)) | m_main_v_state(s222, c_busy) | (~m_main_v_request(s221))),
% 9.38/6.84 inference(modus_ponens,[status(thm)],[32382, 32381])).
% 9.38/6.84 tff(32384,plain,
% 9.38/6.84 ((~m_main_v_state(s221, c_ready)) | m_main_v_state(s222, c_busy) | (~m_main_v_request(s221))),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32383, 191, 32380])).
% 9.38/6.84 tff(32385,plain,
% 9.38/6.84 (~m_main_v_state(s221, c_ready)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32384, 32376, 32371])).
% 9.38/6.84 tff(32386,plain,
% 9.38/6.84 (always3(s221)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10983, 22, 32372])).
% 9.38/6.84 tff(32387,plain,
% 9.38/6.84 (~m_main_v_state(s221, c_busy)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32230, 170, 32386])).
% 9.38/6.84 tff(32388,plain,
% 9.38/6.84 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s221, c_busy) | m_main_v_state(s221, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s221, c_busy) | m_main_v_state(s221, c_ready))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32389,plain,
% 9.38/6.84 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s221, c_busy) | m_main_v_state(s221, c_ready))),
% 9.38/6.84 inference(quant_inst,[status(thm)],[])).
% 9.38/6.84 tff(32390,plain,
% 9.38/6.84 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s221, c_busy) | m_main_v_state(s221, c_ready)),
% 9.38/6.84 inference(modus_ponens,[status(thm)],[32389, 32388])).
% 9.38/6.84 tff(32391,plain,
% 9.38/6.84 ($false),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32390, 213, 32387, 32385])).
% 9.38/6.84 tff(32392,plain,((~node4(s221)) | m_main_v_state(s222, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.38/6.84 tff(32393,plain,
% 9.38/6.84 (m_main_v_state(s222, c_busy)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32392, 32370])).
% 9.38/6.84 tff(32394,plain,
% 9.38/6.84 ($false),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32359, 170, 32329, 32393])).
% 9.38/6.84 tff(32395,plain,(xuntil6(s222) | (~until5(s221)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.84 tff(32396,plain,
% 9.38/6.84 (xuntil6(s222)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32395, 32291, 5071])).
% 9.38/6.84 tff(32397,plain,
% 9.38/6.84 (until5(s223)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11013, 32396])).
% 9.38/6.84 tff(32398,assumption,(~xuntil6(s224)), introduced(assumption)).
% 9.38/6.84 tff(32399,assumption,(~always3(s224)), introduced(assumption)).
% 9.38/6.84 tff(32400,plain,
% 9.38/6.84 (~always3(s223)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6226, 32399])).
% 9.38/6.84 tff(32401,plain,
% 9.38/6.84 (~node4(s223)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11017, 22, 32400])).
% 9.38/6.84 tff(32402,plain,
% 9.38/6.84 (~node4(s224)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11034, 22, 32399])).
% 9.38/6.84 tff(32403,plain,
% 9.38/6.84 (node4(s224) | (~until5(s224))),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11041, 36, 32398])).
% 9.38/6.84 tff(32404,plain,
% 9.38/6.84 (~until5(s224)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32403, 32402])).
% 9.38/6.84 tff(32405,plain,
% 9.38/6.84 (~xuntil6(s223)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11030, 32404])).
% 9.38/6.84 tff(32406,plain,
% 9.38/6.84 (~until5(s223)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11024, 36, 32405, 32401])).
% 9.38/6.84 tff(32407,plain,
% 9.38/6.84 (~xuntil6(s222)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11013, 32406])).
% 9.38/6.84 tff(32408,plain,
% 9.38/6.84 (~always3(s222)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6238, 32400])).
% 9.38/6.84 tff(32409,plain,
% 9.38/6.84 (~node4(s222)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11000, 22, 32408])).
% 9.38/6.84 tff(32410,plain,
% 9.38/6.84 (xuntil6(s222) | (~until5(s222))),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11007, 36, 32409])).
% 9.38/6.84 tff(32411,plain,
% 9.38/6.84 (~until5(s222)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32410, 32407])).
% 9.38/6.84 tff(32412,plain,
% 9.38/6.84 (~xuntil6(s221)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10996, 32411])).
% 9.38/6.84 tff(32413,plain,
% 9.38/6.84 (~always3(s221)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6250, 32408])).
% 9.38/6.84 tff(32414,plain,
% 9.38/6.84 (~node4(s221)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10983, 22, 32413])).
% 9.38/6.84 tff(32415,plain,
% 9.38/6.84 (xuntil6(s221) | (~until5(s221))),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10990, 36, 32414])).
% 9.38/6.84 tff(32416,plain,
% 9.38/6.84 (~until5(s221)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32415, 32412])).
% 9.38/6.84 tff(32417,plain,
% 9.38/6.84 (~xuntil6(s220)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10979, 32416])).
% 9.38/6.84 tff(32418,plain,
% 9.38/6.84 (~always3(s220)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6262, 32413])).
% 9.38/6.84 tff(32419,plain,
% 9.38/6.84 (~always3(s219)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6274, 32418])).
% 9.38/6.84 tff(32420,plain,
% 9.38/6.84 (~always3(s218)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6286, 32419])).
% 9.38/6.84 tff(32421,plain,
% 9.38/6.84 (~always3(s217)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6298, 32420])).
% 9.38/6.84 tff(32422,plain,
% 9.38/6.84 (~node4(s217)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6302, 22, 32421])).
% 9.38/6.84 tff(32423,plain,
% 9.38/6.84 (~always3(s216)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6314, 32421])).
% 9.38/6.84 tff(32424,plain,
% 9.38/6.84 (~node4(s216)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6318, 22, 32423])).
% 9.38/6.84 tff(32425,plain,
% 9.38/6.84 (~always3(s215)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6331, 32423])).
% 9.38/6.84 tff(32426,plain,
% 9.38/6.84 (xuntil6(s215)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10898, 32425, 6320])).
% 9.38/6.84 tff(32427,plain,
% 9.38/6.84 (until5(s216)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10903, 32426])).
% 9.38/6.84 tff(32428,plain,
% 9.38/6.84 (xuntil6(s216) | node4(s216)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10910, 36, 32427])).
% 9.38/6.84 tff(32429,plain,
% 9.38/6.84 (xuntil6(s216)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32428, 32424])).
% 9.38/6.84 tff(32430,plain,
% 9.38/6.84 (until5(s217)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10916, 32429])).
% 9.38/6.84 tff(32431,plain,
% 9.38/6.84 (xuntil6(s217)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10923, 36, 32430, 32422])).
% 9.38/6.84 tff(32432,plain,
% 9.38/6.84 (until5(s218)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10928, 32431])).
% 9.38/6.84 tff(32433,plain,
% 9.38/6.84 (~node4(s218)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10932, 22, 32420])).
% 9.38/6.84 tff(32434,plain,
% 9.38/6.84 (xuntil6(s218) | (~until5(s218))),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10939, 36, 32433])).
% 9.38/6.84 tff(32435,plain,
% 9.38/6.84 (xuntil6(s218)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32434, 32432])).
% 9.38/6.84 tff(32436,plain,
% 9.38/6.84 (until5(s219)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10945, 32435])).
% 9.38/6.84 tff(32437,plain,
% 9.38/6.84 (~node4(s219)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10949, 22, 32419])).
% 9.38/6.84 tff(32438,plain,
% 9.38/6.84 (xuntil6(s219) | (~until5(s219))),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10956, 36, 32437])).
% 9.38/6.84 tff(32439,plain,
% 9.38/6.84 (xuntil6(s219)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32438, 32436])).
% 9.38/6.84 tff(32440,plain,
% 9.38/6.84 (until5(s220)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10962, 32439])).
% 9.38/6.84 tff(32441,plain,
% 9.38/6.84 (~node4(s220)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10966, 22, 32418])).
% 9.38/6.84 tff(32442,plain,
% 9.38/6.84 (xuntil6(s220) | (~until5(s220))),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10973, 36, 32441])).
% 9.38/6.84 tff(32443,plain,
% 9.38/6.84 ($false),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32442, 32440, 32417])).
% 9.38/6.84 tff(32444,plain,(always3(s224) | xuntil6(s224) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.84 tff(32445,plain,
% 9.38/6.84 (always3(s224)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32444, 32398, 6320])).
% 9.38/6.84 tff(32446,plain,
% 9.38/6.84 (always3(s225)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6214, 32445])).
% 9.38/6.84 tff(32447,plain,
% 9.38/6.84 (((~![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)))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32448,plain,
% 9.38/6.84 (((~m_main_v_state(s225, c_busy)) | (~always3(s225))) <=> ((~always3(s225)) | (~m_main_v_state(s225, c_busy)))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32449,plain,
% 9.38/6.84 (((~![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))))),
% 9.38/6.84 inference(monotonicity,[status(thm)],[32448])).
% 9.38/6.84 tff(32450,plain,
% 9.38/6.84 (((~![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)))),
% 9.38/6.84 inference(transitivity,[status(thm)],[32449, 32447])).
% 9.38/6.84 tff(32451,plain,
% 9.38/6.84 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s225, c_busy)) | (~always3(s225)))),
% 9.38/6.84 inference(quant_inst,[status(thm)],[])).
% 9.38/6.84 tff(32452,plain,
% 9.38/6.84 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s225)) | (~m_main_v_state(s225, c_busy))),
% 9.38/6.84 inference(modus_ponens,[status(thm)],[32451, 32450])).
% 9.38/6.84 tff(32453,plain,
% 9.38/6.84 (~m_main_v_state(s225, c_busy)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32452, 170, 32446])).
% 9.38/6.84 tff(32454,assumption,(until5(s224)), introduced(assumption)).
% 9.38/6.84 tff(32455,plain,
% 9.38/6.84 (xuntil6(s224) | node4(s224)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11041, 36, 32454])).
% 9.38/6.84 tff(32456,plain,
% 9.38/6.84 (node4(s224)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32455, 32398])).
% 9.38/6.84 tff(32457,plain,
% 9.38/6.84 (((~![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)))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32458,plain,
% 9.38/6.84 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s224) | (~node4(s224)))),
% 9.38/6.84 inference(quant_inst,[status(thm)],[])).
% 9.38/6.84 tff(32459,plain,
% 9.38/6.84 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s224) | (~node4(s224))),
% 9.38/6.84 inference(modus_ponens,[status(thm)],[32458, 32457])).
% 9.38/6.84 tff(32460,plain,
% 9.38/6.84 (m_main_v_request(s224)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32459, 154, 32456])).
% 9.38/6.84 tff(32461,plain,
% 9.38/6.84 (((~![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))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32462,plain,
% 9.38/6.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s224, s225)) | node2(s224, s225))),
% 9.38/6.84 inference(quant_inst,[status(thm)],[])).
% 9.38/6.84 tff(32463,plain,
% 9.38/6.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s224, s225)) | node2(s224, s225)),
% 9.38/6.84 inference(modus_ponens,[status(thm)],[32462, 32461])).
% 9.38/6.84 tff(32464,plain,
% 9.38/6.84 (node2(s224, s225)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32463, 7, 6210])).
% 9.38/6.84 tff(32465,plain,
% 9.38/6.84 (((~![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(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)))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32466,plain,
% 9.38/6.84 ((~![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(s224, c_ready)) | (~node2(s224, s225)) | m_main_v_state(s225, c_busy) | (~m_main_v_request(s224)))),
% 9.38/6.84 inference(quant_inst,[status(thm)],[])).
% 9.38/6.84 tff(32467,plain,
% 9.38/6.84 ((~![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(s224, c_ready)) | (~node2(s224, s225)) | m_main_v_state(s225, c_busy) | (~m_main_v_request(s224))),
% 9.38/6.84 inference(modus_ponens,[status(thm)],[32466, 32465])).
% 9.38/6.84 tff(32468,plain,
% 9.38/6.84 ((~m_main_v_state(s224, c_ready)) | m_main_v_state(s225, c_busy) | (~m_main_v_request(s224))),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32467, 191, 32464])).
% 9.38/6.84 tff(32469,plain,
% 9.38/6.84 (~m_main_v_state(s224, c_ready)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32468, 32460, 32453])).
% 9.38/6.84 tff(32470,plain,
% 9.38/6.84 (((~![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)))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32471,plain,
% 9.38/6.84 (((~m_main_v_state(s224, c_busy)) | (~always3(s224))) <=> ((~always3(s224)) | (~m_main_v_state(s224, c_busy)))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32472,plain,
% 9.38/6.84 (((~![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))))),
% 9.38/6.84 inference(monotonicity,[status(thm)],[32471])).
% 9.38/6.84 tff(32473,plain,
% 9.38/6.84 (((~![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)))),
% 9.38/6.84 inference(transitivity,[status(thm)],[32472, 32470])).
% 9.38/6.84 tff(32474,plain,
% 9.38/6.84 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s224, c_busy)) | (~always3(s224)))),
% 9.38/6.84 inference(quant_inst,[status(thm)],[])).
% 9.38/6.84 tff(32475,plain,
% 9.38/6.84 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s224)) | (~m_main_v_state(s224, c_busy))),
% 9.38/6.84 inference(modus_ponens,[status(thm)],[32474, 32473])).
% 9.38/6.84 tff(32476,plain,
% 9.38/6.84 (~m_main_v_state(s224, c_busy)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32475, 170, 32445])).
% 9.38/6.84 tff(32477,plain,
% 9.38/6.84 (((~![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))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32478,plain,
% 9.38/6.84 ((~![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))),
% 9.38/6.84 inference(quant_inst,[status(thm)],[])).
% 9.38/6.84 tff(32479,plain,
% 9.38/6.84 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s224, c_busy) | m_main_v_state(s224, c_ready)),
% 9.38/6.84 inference(modus_ponens,[status(thm)],[32478, 32477])).
% 9.38/6.84 tff(32480,plain,
% 9.38/6.84 ($false),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32479, 213, 32476, 32469])).
% 9.38/6.84 tff(32481,plain,(xuntil6(s224) | (~until5(s224)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.84 tff(32482,plain,
% 9.38/6.84 (~until5(s224)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32481, 32398, 6320])).
% 9.38/6.84 tff(32483,plain,
% 9.38/6.84 (~xuntil6(s223)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11030, 32482])).
% 9.38/6.84 tff(32484,assumption,(until5(s223)), introduced(assumption)).
% 9.38/6.84 tff(32485,plain,
% 9.38/6.84 (xuntil6(s223) | node4(s223)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11024, 36, 32484])).
% 9.38/6.84 tff(32486,plain,
% 9.38/6.84 (node4(s223)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32485, 32483])).
% 9.38/6.84 tff(32487,assumption,(~m_main_v_state(s224, c_busy)), introduced(assumption)).
% 9.38/6.84 tff(32488,assumption,(node4(s223)), introduced(assumption)).
% 9.38/6.84 tff(32489,plain,
% 9.38/6.84 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s223) | (~node4(s223)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s223) | (~node4(s223)))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32490,plain,
% 9.38/6.84 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s223) | (~node4(s223)))),
% 9.38/6.84 inference(quant_inst,[status(thm)],[])).
% 9.38/6.84 tff(32491,plain,
% 9.38/6.84 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s223) | (~node4(s223))),
% 9.38/6.84 inference(modus_ponens,[status(thm)],[32490, 32489])).
% 9.38/6.84 tff(32492,plain,
% 9.38/6.84 (m_main_v_request(s223)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32491, 154, 32488])).
% 9.38/6.84 tff(32493,plain,
% 9.38/6.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s223, s224)) | node2(s223, s224))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s223, s224)) | node2(s223, s224))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32494,plain,
% 9.38/6.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s223, s224)) | node2(s223, s224))),
% 9.38/6.84 inference(quant_inst,[status(thm)],[])).
% 9.38/6.84 tff(32495,plain,
% 9.38/6.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s223, s224)) | node2(s223, s224)),
% 9.38/6.84 inference(modus_ponens,[status(thm)],[32494, 32493])).
% 9.38/6.84 tff(32496,plain,
% 9.38/6.84 (node2(s223, s224)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32495, 7, 6222])).
% 9.38/6.84 tff(32497,plain,
% 9.38/6.84 (((~![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(s223, c_ready)) | (~node2(s223, s224)) | m_main_v_state(s224, c_busy) | (~m_main_v_request(s223)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s223, c_ready)) | (~node2(s223, s224)) | m_main_v_state(s224, c_busy) | (~m_main_v_request(s223)))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32498,plain,
% 9.38/6.84 ((~![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(s223, c_ready)) | (~node2(s223, s224)) | m_main_v_state(s224, c_busy) | (~m_main_v_request(s223)))),
% 9.38/6.84 inference(quant_inst,[status(thm)],[])).
% 9.38/6.84 tff(32499,plain,
% 9.38/6.84 ((~![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(s223, c_ready)) | (~node2(s223, s224)) | m_main_v_state(s224, c_busy) | (~m_main_v_request(s223))),
% 9.38/6.84 inference(modus_ponens,[status(thm)],[32498, 32497])).
% 9.38/6.84 tff(32500,plain,
% 9.38/6.84 ((~m_main_v_state(s223, c_ready)) | m_main_v_state(s224, c_busy) | (~m_main_v_request(s223))),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32499, 191, 32496])).
% 9.38/6.84 tff(32501,plain,
% 9.38/6.84 (~m_main_v_state(s223, c_ready)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32500, 32492, 32487])).
% 9.38/6.84 tff(32502,plain,
% 9.38/6.84 (always3(s223)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11017, 22, 32488])).
% 9.38/6.84 tff(32503,plain,
% 9.38/6.84 (~m_main_v_state(s223, c_busy)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32336, 170, 32502])).
% 9.38/6.84 tff(32504,plain,
% 9.38/6.84 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s223, c_busy) | m_main_v_state(s223, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s223, c_busy) | m_main_v_state(s223, c_ready))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32505,plain,
% 9.38/6.84 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s223, c_busy) | m_main_v_state(s223, c_ready))),
% 9.38/6.84 inference(quant_inst,[status(thm)],[])).
% 9.38/6.84 tff(32506,plain,
% 9.38/6.84 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s223, c_busy) | m_main_v_state(s223, c_ready)),
% 9.38/6.84 inference(modus_ponens,[status(thm)],[32505, 32504])).
% 9.38/6.84 tff(32507,plain,
% 9.38/6.84 ($false),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32506, 213, 32503, 32501])).
% 9.38/6.84 tff(32508,plain,((~node4(s223)) | m_main_v_state(s224, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.38/6.84 tff(32509,plain,
% 9.38/6.84 (m_main_v_state(s224, c_busy)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32508, 32486])).
% 9.38/6.84 tff(32510,plain,
% 9.38/6.84 ($false),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32475, 170, 32445, 32509])).
% 9.38/6.84 tff(32511,plain,(xuntil6(s224) | (~until5(s223)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.84 tff(32512,plain,
% 9.38/6.84 (xuntil6(s224)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32511, 32397, 5071])).
% 9.38/6.84 tff(32513,plain,
% 9.38/6.84 (until5(s225)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11047, 32512])).
% 9.38/6.84 tff(32514,assumption,(~xuntil6(s226)), introduced(assumption)).
% 9.38/6.84 tff(32515,assumption,(~always3(s226)), introduced(assumption)).
% 9.38/6.84 tff(32516,plain,
% 9.38/6.84 (~always3(s225)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6202, 32515])).
% 9.38/6.84 tff(32517,plain,
% 9.38/6.84 (~node4(s225)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11051, 22, 32516])).
% 9.38/6.84 tff(32518,plain,
% 9.38/6.84 (~node4(s226)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11068, 22, 32515])).
% 9.38/6.84 tff(32519,plain,
% 9.38/6.84 (node4(s226) | (~until5(s226))),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11075, 36, 32514])).
% 9.38/6.84 tff(32520,plain,
% 9.38/6.84 (~until5(s226)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32519, 32518])).
% 9.38/6.84 tff(32521,plain,
% 9.38/6.84 (~xuntil6(s225)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11064, 32520])).
% 9.38/6.84 tff(32522,plain,
% 9.38/6.84 (~until5(s225)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11058, 36, 32521, 32517])).
% 9.38/6.84 tff(32523,plain,
% 9.38/6.84 (~xuntil6(s224)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11047, 32522])).
% 9.38/6.84 tff(32524,plain,
% 9.38/6.84 (~always3(s224)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6214, 32516])).
% 9.38/6.84 tff(32525,plain,
% 9.38/6.84 (~node4(s224)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11034, 22, 32524])).
% 9.38/6.84 tff(32526,plain,
% 9.38/6.84 (xuntil6(s224) | (~until5(s224))),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11041, 36, 32525])).
% 9.38/6.84 tff(32527,plain,
% 9.38/6.84 (~until5(s224)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32526, 32523])).
% 9.38/6.84 tff(32528,plain,
% 9.38/6.84 (~xuntil6(s223)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11030, 32527])).
% 9.38/6.84 tff(32529,plain,
% 9.38/6.84 (~always3(s223)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6226, 32524])).
% 9.38/6.84 tff(32530,plain,
% 9.38/6.84 (~node4(s223)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11017, 22, 32529])).
% 9.38/6.84 tff(32531,plain,
% 9.38/6.84 (xuntil6(s223) | (~until5(s223))),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11024, 36, 32530])).
% 9.38/6.84 tff(32532,plain,
% 9.38/6.84 (~until5(s223)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32531, 32528])).
% 9.38/6.84 tff(32533,plain,
% 9.38/6.84 (~xuntil6(s222)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11013, 32532])).
% 9.38/6.84 tff(32534,plain,
% 9.38/6.84 (~always3(s222)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6238, 32529])).
% 9.38/6.84 tff(32535,plain,
% 9.38/6.84 (~node4(s222)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11000, 22, 32534])).
% 9.38/6.84 tff(32536,plain,
% 9.38/6.84 (xuntil6(s222) | (~until5(s222))),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[11007, 36, 32535])).
% 9.38/6.84 tff(32537,plain,
% 9.38/6.84 (~until5(s222)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32536, 32533])).
% 9.38/6.84 tff(32538,plain,
% 9.38/6.84 (~xuntil6(s221)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10996, 32537])).
% 9.38/6.84 tff(32539,plain,
% 9.38/6.84 (~always3(s221)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6250, 32534])).
% 9.38/6.84 tff(32540,plain,
% 9.38/6.84 (~always3(s220)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6262, 32539])).
% 9.38/6.84 tff(32541,plain,
% 9.38/6.84 (~always3(s219)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6274, 32540])).
% 9.38/6.84 tff(32542,plain,
% 9.38/6.84 (~always3(s218)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6286, 32541])).
% 9.38/6.84 tff(32543,plain,
% 9.38/6.84 (~always3(s217)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6298, 32542])).
% 9.38/6.84 tff(32544,plain,
% 9.38/6.84 (~node4(s217)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6302, 22, 32543])).
% 9.38/6.84 tff(32545,plain,
% 9.38/6.84 (~always3(s216)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6314, 32543])).
% 9.38/6.84 tff(32546,plain,
% 9.38/6.84 (~node4(s216)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6318, 22, 32545])).
% 9.38/6.84 tff(32547,plain,
% 9.38/6.84 (~always3(s215)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6331, 32545])).
% 9.38/6.84 tff(32548,plain,
% 9.38/6.84 (xuntil6(s215)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10898, 32547, 6320])).
% 9.38/6.84 tff(32549,plain,
% 9.38/6.84 (until5(s216)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10903, 32548])).
% 9.38/6.84 tff(32550,plain,
% 9.38/6.84 (xuntil6(s216) | node4(s216)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10910, 36, 32549])).
% 9.38/6.84 tff(32551,plain,
% 9.38/6.84 (xuntil6(s216)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32550, 32546])).
% 9.38/6.84 tff(32552,plain,
% 9.38/6.84 (until5(s217)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10916, 32551])).
% 9.38/6.84 tff(32553,plain,
% 9.38/6.84 (xuntil6(s217)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10923, 36, 32552, 32544])).
% 9.38/6.84 tff(32554,plain,
% 9.38/6.84 (until5(s218)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10928, 32553])).
% 9.38/6.84 tff(32555,plain,
% 9.38/6.84 (~node4(s218)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10932, 22, 32542])).
% 9.38/6.84 tff(32556,plain,
% 9.38/6.84 (xuntil6(s218) | (~until5(s218))),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10939, 36, 32555])).
% 9.38/6.84 tff(32557,plain,
% 9.38/6.84 (xuntil6(s218)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32556, 32554])).
% 9.38/6.84 tff(32558,plain,
% 9.38/6.84 (until5(s219)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10945, 32557])).
% 9.38/6.84 tff(32559,plain,
% 9.38/6.84 (~node4(s219)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10949, 22, 32541])).
% 9.38/6.84 tff(32560,plain,
% 9.38/6.84 (xuntil6(s219) | (~until5(s219))),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10956, 36, 32559])).
% 9.38/6.84 tff(32561,plain,
% 9.38/6.84 (xuntil6(s219)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32560, 32558])).
% 9.38/6.84 tff(32562,plain,
% 9.38/6.84 (until5(s220)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10962, 32561])).
% 9.38/6.84 tff(32563,plain,
% 9.38/6.84 (~node4(s220)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10966, 22, 32540])).
% 9.38/6.84 tff(32564,plain,
% 9.38/6.84 (xuntil6(s220) | (~until5(s220))),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10973, 36, 32563])).
% 9.38/6.84 tff(32565,plain,
% 9.38/6.84 (xuntil6(s220)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32564, 32562])).
% 9.38/6.84 tff(32566,plain,
% 9.38/6.84 (until5(s221)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10979, 32565])).
% 9.38/6.84 tff(32567,plain,
% 9.38/6.84 (~node4(s221)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10983, 22, 32539])).
% 9.38/6.84 tff(32568,plain,
% 9.38/6.84 (xuntil6(s221) | (~until5(s221))),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[10990, 36, 32567])).
% 9.38/6.84 tff(32569,plain,
% 9.38/6.84 ($false),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32568, 32566, 32538])).
% 9.38/6.84 tff(32570,plain,(always3(s226) | xuntil6(s226) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.84 tff(32571,plain,
% 9.38/6.84 (always3(s226)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32570, 32514, 6320])).
% 9.38/6.84 tff(32572,plain,
% 9.38/6.84 (always3(s227)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[6190, 32571])).
% 9.38/6.84 tff(32573,plain,
% 9.38/6.84 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s227)) | (~m_main_v_state(s227, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s227)) | (~m_main_v_state(s227, c_busy)))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32574,plain,
% 9.38/6.84 (((~m_main_v_state(s227, c_busy)) | (~always3(s227))) <=> ((~always3(s227)) | (~m_main_v_state(s227, c_busy)))),
% 9.38/6.84 inference(rewrite,[status(thm)],[])).
% 9.38/6.84 tff(32575,plain,
% 9.38/6.84 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s227, c_busy)) | (~always3(s227)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s227)) | (~m_main_v_state(s227, c_busy))))),
% 9.38/6.84 inference(monotonicity,[status(thm)],[32574])).
% 9.38/6.84 tff(32576,plain,
% 9.38/6.84 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s227, c_busy)) | (~always3(s227)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s227)) | (~m_main_v_state(s227, c_busy)))),
% 9.38/6.84 inference(transitivity,[status(thm)],[32575, 32573])).
% 9.38/6.84 tff(32577,plain,
% 9.38/6.84 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s227, c_busy)) | (~always3(s227)))),
% 9.38/6.84 inference(quant_inst,[status(thm)],[])).
% 9.38/6.84 tff(32578,plain,
% 9.38/6.84 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s227)) | (~m_main_v_state(s227, c_busy))),
% 9.38/6.84 inference(modus_ponens,[status(thm)],[32577, 32576])).
% 9.38/6.84 tff(32579,plain,
% 9.38/6.84 (~m_main_v_state(s227, c_busy)),
% 9.38/6.84 inference(unit_resolution,[status(thm)],[32578, 170, 32572])).
% 9.38/6.84 tff(32580,assumption,(until5(s226)), introduced(assumption)).
% 9.38/6.85 tff(32581,plain,
% 9.38/6.85 (xuntil6(s226) | node4(s226)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11075, 36, 32580])).
% 9.38/6.85 tff(32582,plain,
% 9.38/6.85 (node4(s226)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32581, 32514])).
% 9.38/6.85 tff(32583,plain,
% 9.38/6.85 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s226) | (~node4(s226)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s226) | (~node4(s226)))),
% 9.38/6.85 inference(rewrite,[status(thm)],[])).
% 9.38/6.85 tff(32584,plain,
% 9.38/6.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s226) | (~node4(s226)))),
% 9.38/6.85 inference(quant_inst,[status(thm)],[])).
% 9.38/6.85 tff(32585,plain,
% 9.38/6.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s226) | (~node4(s226))),
% 9.38/6.85 inference(modus_ponens,[status(thm)],[32584, 32583])).
% 9.38/6.85 tff(32586,plain,
% 9.38/6.85 (m_main_v_request(s226)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32585, 154, 32582])).
% 9.38/6.85 tff(32587,plain,
% 9.38/6.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s226, s227)) | node2(s226, s227))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s226, s227)) | node2(s226, s227))),
% 9.38/6.85 inference(rewrite,[status(thm)],[])).
% 9.38/6.85 tff(32588,plain,
% 9.38/6.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s226, s227)) | node2(s226, s227))),
% 9.38/6.85 inference(quant_inst,[status(thm)],[])).
% 9.38/6.85 tff(32589,plain,
% 9.38/6.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s226, s227)) | node2(s226, s227)),
% 9.38/6.85 inference(modus_ponens,[status(thm)],[32588, 32587])).
% 9.38/6.85 tff(32590,plain,
% 9.38/6.85 (node2(s226, s227)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32589, 7, 6186])).
% 9.38/6.85 tff(32591,plain,
% 9.38/6.85 (((~![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(s226, c_ready)) | (~node2(s226, s227)) | m_main_v_state(s227, c_busy) | (~m_main_v_request(s226)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s226, c_ready)) | (~node2(s226, s227)) | m_main_v_state(s227, c_busy) | (~m_main_v_request(s226)))),
% 9.38/6.85 inference(rewrite,[status(thm)],[])).
% 9.38/6.85 tff(32592,plain,
% 9.38/6.85 ((~![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(s226, c_ready)) | (~node2(s226, s227)) | m_main_v_state(s227, c_busy) | (~m_main_v_request(s226)))),
% 9.38/6.85 inference(quant_inst,[status(thm)],[])).
% 9.38/6.85 tff(32593,plain,
% 9.38/6.85 ((~![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(s226, c_ready)) | (~node2(s226, s227)) | m_main_v_state(s227, c_busy) | (~m_main_v_request(s226))),
% 9.38/6.85 inference(modus_ponens,[status(thm)],[32592, 32591])).
% 9.38/6.85 tff(32594,plain,
% 9.38/6.85 ((~m_main_v_state(s226, c_ready)) | m_main_v_state(s227, c_busy) | (~m_main_v_request(s226))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32593, 191, 32590])).
% 9.38/6.85 tff(32595,plain,
% 9.38/6.85 (~m_main_v_state(s226, c_ready)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32594, 32586, 32579])).
% 9.38/6.85 tff(32596,plain,
% 9.38/6.85 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s226, c_busy) | m_main_v_state(s226, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s226, c_busy) | m_main_v_state(s226, c_ready))),
% 9.38/6.85 inference(rewrite,[status(thm)],[])).
% 9.38/6.85 tff(32597,plain,
% 9.38/6.85 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s226, c_busy) | m_main_v_state(s226, c_ready))),
% 9.38/6.85 inference(quant_inst,[status(thm)],[])).
% 9.38/6.85 tff(32598,plain,
% 9.38/6.85 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s226, c_busy) | m_main_v_state(s226, c_ready)),
% 9.38/6.85 inference(modus_ponens,[status(thm)],[32597, 32596])).
% 9.38/6.85 tff(32599,plain,
% 9.38/6.85 (m_main_v_state(s226, c_busy)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32598, 213, 32595])).
% 9.38/6.85 tff(32600,plain,
% 9.38/6.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s226)) | (~m_main_v_state(s226, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s226)) | (~m_main_v_state(s226, c_busy)))),
% 9.38/6.85 inference(rewrite,[status(thm)],[])).
% 9.38/6.85 tff(32601,plain,
% 9.38/6.85 (((~m_main_v_state(s226, c_busy)) | (~always3(s226))) <=> ((~always3(s226)) | (~m_main_v_state(s226, c_busy)))),
% 9.38/6.85 inference(rewrite,[status(thm)],[])).
% 9.38/6.85 tff(32602,plain,
% 9.38/6.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s226, c_busy)) | (~always3(s226)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s226)) | (~m_main_v_state(s226, c_busy))))),
% 9.38/6.85 inference(monotonicity,[status(thm)],[32601])).
% 9.38/6.85 tff(32603,plain,
% 9.38/6.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s226, c_busy)) | (~always3(s226)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s226)) | (~m_main_v_state(s226, c_busy)))),
% 9.38/6.85 inference(transitivity,[status(thm)],[32602, 32600])).
% 9.38/6.85 tff(32604,plain,
% 9.38/6.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s226, c_busy)) | (~always3(s226)))),
% 9.38/6.85 inference(quant_inst,[status(thm)],[])).
% 9.38/6.85 tff(32605,plain,
% 9.38/6.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s226)) | (~m_main_v_state(s226, c_busy))),
% 9.38/6.85 inference(modus_ponens,[status(thm)],[32604, 32603])).
% 9.38/6.85 tff(32606,plain,
% 9.38/6.85 ($false),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32605, 170, 32571, 32599])).
% 9.38/6.85 tff(32607,plain,(xuntil6(s226) | (~until5(s226)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.85 tff(32608,plain,
% 9.38/6.85 (~until5(s226)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32607, 32514, 6320])).
% 9.38/6.85 tff(32609,plain,
% 9.38/6.85 (~xuntil6(s225)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11064, 32608])).
% 9.38/6.85 tff(32610,assumption,(until5(s225)), introduced(assumption)).
% 9.38/6.85 tff(32611,plain,
% 9.38/6.85 (xuntil6(s225) | node4(s225)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11058, 36, 32610])).
% 9.38/6.85 tff(32612,plain,
% 9.38/6.85 (node4(s225)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32611, 32609])).
% 9.38/6.85 tff(32613,assumption,(~m_main_v_state(s226, c_busy)), introduced(assumption)).
% 9.38/6.85 tff(32614,assumption,(node4(s225)), introduced(assumption)).
% 9.38/6.85 tff(32615,plain,
% 9.38/6.85 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s225) | (~node4(s225)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s225) | (~node4(s225)))),
% 9.38/6.85 inference(rewrite,[status(thm)],[])).
% 9.38/6.85 tff(32616,plain,
% 9.38/6.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s225) | (~node4(s225)))),
% 9.38/6.85 inference(quant_inst,[status(thm)],[])).
% 9.38/6.85 tff(32617,plain,
% 9.38/6.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s225) | (~node4(s225))),
% 9.38/6.85 inference(modus_ponens,[status(thm)],[32616, 32615])).
% 9.38/6.85 tff(32618,plain,
% 9.38/6.85 (m_main_v_request(s225)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32617, 154, 32614])).
% 9.38/6.85 tff(32619,plain,
% 9.38/6.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s225, s226)) | node2(s225, s226))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s225, s226)) | node2(s225, s226))),
% 9.38/6.85 inference(rewrite,[status(thm)],[])).
% 9.38/6.85 tff(32620,plain,
% 9.38/6.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s225, s226)) | node2(s225, s226))),
% 9.38/6.85 inference(quant_inst,[status(thm)],[])).
% 9.38/6.85 tff(32621,plain,
% 9.38/6.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s225, s226)) | node2(s225, s226)),
% 9.38/6.85 inference(modus_ponens,[status(thm)],[32620, 32619])).
% 9.38/6.85 tff(32622,plain,
% 9.38/6.85 (node2(s225, s226)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32621, 7, 6198])).
% 9.38/6.85 tff(32623,plain,
% 9.38/6.85 (((~![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(s225, c_ready)) | (~node2(s225, s226)) | m_main_v_state(s226, c_busy) | (~m_main_v_request(s225)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s225, c_ready)) | (~node2(s225, s226)) | m_main_v_state(s226, c_busy) | (~m_main_v_request(s225)))),
% 9.38/6.85 inference(rewrite,[status(thm)],[])).
% 9.38/6.85 tff(32624,plain,
% 9.38/6.85 ((~![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(s225, c_ready)) | (~node2(s225, s226)) | m_main_v_state(s226, c_busy) | (~m_main_v_request(s225)))),
% 9.38/6.85 inference(quant_inst,[status(thm)],[])).
% 9.38/6.85 tff(32625,plain,
% 9.38/6.85 ((~![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(s225, c_ready)) | (~node2(s225, s226)) | m_main_v_state(s226, c_busy) | (~m_main_v_request(s225))),
% 9.38/6.85 inference(modus_ponens,[status(thm)],[32624, 32623])).
% 9.38/6.85 tff(32626,plain,
% 9.38/6.85 ((~m_main_v_state(s225, c_ready)) | m_main_v_state(s226, c_busy) | (~m_main_v_request(s225))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32625, 191, 32622])).
% 9.38/6.85 tff(32627,plain,
% 9.38/6.85 (~m_main_v_state(s225, c_ready)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32626, 32618, 32613])).
% 9.38/6.85 tff(32628,plain,
% 9.38/6.85 (always3(s225)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11051, 22, 32614])).
% 9.38/6.85 tff(32629,plain,
% 9.38/6.85 (~m_main_v_state(s225, c_busy)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32452, 170, 32628])).
% 9.38/6.85 tff(32630,plain,
% 9.38/6.85 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s225, c_busy) | m_main_v_state(s225, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s225, c_busy) | m_main_v_state(s225, c_ready))),
% 9.38/6.85 inference(rewrite,[status(thm)],[])).
% 9.38/6.85 tff(32631,plain,
% 9.38/6.85 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s225, c_busy) | m_main_v_state(s225, c_ready))),
% 9.38/6.85 inference(quant_inst,[status(thm)],[])).
% 9.38/6.85 tff(32632,plain,
% 9.38/6.85 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s225, c_busy) | m_main_v_state(s225, c_ready)),
% 9.38/6.85 inference(modus_ponens,[status(thm)],[32631, 32630])).
% 9.38/6.85 tff(32633,plain,
% 9.38/6.85 ($false),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32632, 213, 32629, 32627])).
% 9.38/6.85 tff(32634,plain,((~node4(s225)) | m_main_v_state(s226, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.38/6.85 tff(32635,plain,
% 9.38/6.85 (m_main_v_state(s226, c_busy)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32634, 32612])).
% 9.38/6.85 tff(32636,plain,
% 9.38/6.85 ($false),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32605, 170, 32571, 32635])).
% 9.38/6.85 tff(32637,plain,(xuntil6(s226) | (~until5(s225)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.85 tff(32638,plain,
% 9.38/6.85 (xuntil6(s226)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32637, 32513, 5071])).
% 9.38/6.85 tff(32639,plain,
% 9.38/6.85 (until5(s227)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11081, 32638])).
% 9.38/6.85 tff(32640,assumption,(~xuntil6(s239)), introduced(assumption)).
% 9.38/6.85 tff(32641,assumption,(~always3(s239)), introduced(assumption)).
% 9.38/6.85 tff(32642,plain,
% 9.38/6.85 (~always3(s238)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6046, 32641])).
% 9.38/6.85 tff(32643,plain,
% 9.38/6.85 (~node4(s238)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11272, 22, 32642])).
% 9.38/6.85 tff(32644,plain,
% 9.38/6.85 (~node4(s239)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11289, 22, 32641])).
% 9.38/6.85 tff(32645,plain,
% 9.38/6.85 (node4(s239) | (~until5(s239))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11296, 36, 32640])).
% 9.38/6.85 tff(32646,plain,
% 9.38/6.85 (~until5(s239)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32645, 32644])).
% 9.38/6.85 tff(32647,plain,
% 9.38/6.85 (~xuntil6(s238)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11285, 32646])).
% 9.38/6.85 tff(32648,plain,
% 9.38/6.85 (~until5(s238)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11279, 36, 32647, 32643])).
% 9.38/6.85 tff(32649,plain,
% 9.38/6.85 (~xuntil6(s237)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11268, 32648])).
% 9.38/6.85 tff(32650,plain,
% 9.38/6.85 (~always3(s237)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6058, 32642])).
% 9.38/6.85 tff(32651,plain,
% 9.38/6.85 (~node4(s237)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11255, 22, 32650])).
% 9.38/6.85 tff(32652,plain,
% 9.38/6.85 (xuntil6(s237) | (~until5(s237))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11262, 36, 32651])).
% 9.38/6.85 tff(32653,plain,
% 9.38/6.85 (~until5(s237)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32652, 32649])).
% 9.38/6.85 tff(32654,plain,
% 9.38/6.85 (~xuntil6(s236)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11251, 32653])).
% 9.38/6.85 tff(32655,plain,
% 9.38/6.85 (~always3(s236)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6070, 32650])).
% 9.38/6.85 tff(32656,plain,
% 9.38/6.85 (~node4(s236)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11238, 22, 32655])).
% 9.38/6.85 tff(32657,plain,
% 9.38/6.85 (xuntil6(s236) | (~until5(s236))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11245, 36, 32656])).
% 9.38/6.85 tff(32658,plain,
% 9.38/6.85 (~until5(s236)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32657, 32654])).
% 9.38/6.85 tff(32659,plain,
% 9.38/6.85 (~xuntil6(s235)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11234, 32658])).
% 9.38/6.85 tff(32660,plain,
% 9.38/6.85 (~always3(s235)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6082, 32655])).
% 9.38/6.85 tff(32661,plain,
% 9.38/6.85 (~node4(s235)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11221, 22, 32660])).
% 9.38/6.85 tff(32662,plain,
% 9.38/6.85 (xuntil6(s235) | (~until5(s235))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11228, 36, 32661])).
% 9.38/6.85 tff(32663,plain,
% 9.38/6.85 (~until5(s235)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32662, 32659])).
% 9.38/6.85 tff(32664,plain,
% 9.38/6.85 (~xuntil6(s234)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11217, 32663])).
% 9.38/6.85 tff(32665,plain,
% 9.38/6.85 (~always3(s234)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6094, 32660])).
% 9.38/6.85 tff(32666,plain,
% 9.38/6.85 (~node4(s234)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11204, 22, 32665])).
% 9.38/6.85 tff(32667,plain,
% 9.38/6.85 (xuntil6(s234) | (~until5(s234))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11211, 36, 32666])).
% 9.38/6.85 tff(32668,plain,
% 9.38/6.85 (~until5(s234)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32667, 32664])).
% 9.38/6.85 tff(32669,plain,
% 9.38/6.85 (~xuntil6(s233)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11200, 32668])).
% 9.38/6.85 tff(32670,plain,
% 9.38/6.85 (~always3(s233)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6106, 32665])).
% 9.38/6.85 tff(32671,plain,
% 9.38/6.85 (~node4(s233)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11187, 22, 32670])).
% 9.38/6.85 tff(32672,plain,
% 9.38/6.85 (xuntil6(s233) | (~until5(s233))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11194, 36, 32671])).
% 9.38/6.85 tff(32673,plain,
% 9.38/6.85 (~until5(s233)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32672, 32669])).
% 9.38/6.85 tff(32674,plain,
% 9.38/6.85 (~xuntil6(s232)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11183, 32673])).
% 9.38/6.85 tff(32675,plain,
% 9.38/6.85 (~always3(s232)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6118, 32670])).
% 9.38/6.85 tff(32676,plain,
% 9.38/6.85 (~node4(s232)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11170, 22, 32675])).
% 9.38/6.85 tff(32677,plain,
% 9.38/6.85 (xuntil6(s232) | (~until5(s232))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11177, 36, 32676])).
% 9.38/6.85 tff(32678,plain,
% 9.38/6.85 (~until5(s232)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32677, 32674])).
% 9.38/6.85 tff(32679,plain,
% 9.38/6.85 (~xuntil6(s231)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11166, 32678])).
% 9.38/6.85 tff(32680,plain,
% 9.38/6.85 (~always3(s231)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6130, 32675])).
% 9.38/6.85 tff(32681,plain,
% 9.38/6.85 (~node4(s231)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11153, 22, 32680])).
% 9.38/6.85 tff(32682,plain,
% 9.38/6.85 (xuntil6(s231) | (~until5(s231))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11160, 36, 32681])).
% 9.38/6.85 tff(32683,plain,
% 9.38/6.85 (~until5(s231)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32682, 32679])).
% 9.38/6.85 tff(32684,plain,
% 9.38/6.85 (~xuntil6(s230)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11149, 32683])).
% 9.38/6.85 tff(32685,plain,
% 9.38/6.85 (~always3(s230)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6142, 32680])).
% 9.38/6.85 tff(32686,plain,
% 9.38/6.85 (~node4(s230)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11136, 22, 32685])).
% 9.38/6.85 tff(32687,plain,
% 9.38/6.85 (xuntil6(s230) | (~until5(s230))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11143, 36, 32686])).
% 9.38/6.85 tff(32688,plain,
% 9.38/6.85 (~until5(s230)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32687, 32684])).
% 9.38/6.85 tff(32689,plain,
% 9.38/6.85 (~xuntil6(s229)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11132, 32688])).
% 9.38/6.85 tff(32690,plain,
% 9.38/6.85 (~always3(s229)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6154, 32685])).
% 9.38/6.85 tff(32691,plain,
% 9.38/6.85 (~node4(s229)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11119, 22, 32690])).
% 9.38/6.85 tff(32692,plain,
% 9.38/6.85 (xuntil6(s229) | (~until5(s229))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11126, 36, 32691])).
% 9.38/6.85 tff(32693,plain,
% 9.38/6.85 (~until5(s229)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32692, 32689])).
% 9.38/6.85 tff(32694,plain,
% 9.38/6.85 (~xuntil6(s228)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11115, 32693])).
% 9.38/6.85 tff(32695,plain,
% 9.38/6.85 (~always3(s228)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6166, 32690])).
% 9.38/6.85 tff(32696,plain,
% 9.38/6.85 (~node4(s228)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11102, 22, 32695])).
% 9.38/6.85 tff(32697,plain,
% 9.38/6.85 (xuntil6(s228) | (~until5(s228))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11109, 36, 32696])).
% 9.38/6.85 tff(32698,plain,
% 9.38/6.85 (~until5(s228)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32697, 32694])).
% 9.38/6.85 tff(32699,plain,
% 9.38/6.85 (~always3(s227)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6178, 32695])).
% 9.38/6.85 tff(32700,plain,
% 9.38/6.85 (~always3(s226)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6190, 32699])).
% 9.38/6.85 tff(32701,plain,
% 9.38/6.85 (~always3(s225)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6202, 32700])).
% 9.38/6.85 tff(32702,plain,
% 9.38/6.85 (~always3(s224)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6214, 32701])).
% 9.38/6.85 tff(32703,plain,
% 9.38/6.85 (~always3(s223)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6226, 32702])).
% 9.38/6.85 tff(32704,plain,
% 9.38/6.85 (~always3(s222)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6238, 32703])).
% 9.38/6.85 tff(32705,plain,
% 9.38/6.85 (~always3(s221)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6250, 32704])).
% 9.38/6.85 tff(32706,plain,
% 9.38/6.85 (~always3(s220)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6262, 32705])).
% 9.38/6.85 tff(32707,plain,
% 9.38/6.85 (~always3(s219)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6274, 32706])).
% 9.38/6.85 tff(32708,plain,
% 9.38/6.85 (~always3(s218)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6286, 32707])).
% 9.38/6.85 tff(32709,plain,
% 9.38/6.85 (~always3(s217)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6298, 32708])).
% 9.38/6.85 tff(32710,plain,
% 9.38/6.85 (~node4(s217)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6302, 22, 32709])).
% 9.38/6.85 tff(32711,plain,
% 9.38/6.85 (~always3(s216)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6314, 32709])).
% 9.38/6.85 tff(32712,plain,
% 9.38/6.85 (~node4(s216)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6318, 22, 32711])).
% 9.38/6.85 tff(32713,plain,
% 9.38/6.85 (~always3(s215)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6331, 32711])).
% 9.38/6.85 tff(32714,plain,
% 9.38/6.85 (xuntil6(s215)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10898, 32713, 6320])).
% 9.38/6.85 tff(32715,plain,
% 9.38/6.85 (until5(s216)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10903, 32714])).
% 9.38/6.85 tff(32716,plain,
% 9.38/6.85 (xuntil6(s216) | node4(s216)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10910, 36, 32715])).
% 9.38/6.85 tff(32717,plain,
% 9.38/6.85 (xuntil6(s216)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32716, 32712])).
% 9.38/6.85 tff(32718,plain,
% 9.38/6.85 (until5(s217)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10916, 32717])).
% 9.38/6.85 tff(32719,plain,
% 9.38/6.85 (xuntil6(s217)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10923, 36, 32718, 32710])).
% 9.38/6.85 tff(32720,plain,
% 9.38/6.85 (until5(s218)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10928, 32719])).
% 9.38/6.85 tff(32721,plain,
% 9.38/6.85 (~node4(s218)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10932, 22, 32708])).
% 9.38/6.85 tff(32722,plain,
% 9.38/6.85 (xuntil6(s218) | (~until5(s218))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10939, 36, 32721])).
% 9.38/6.85 tff(32723,plain,
% 9.38/6.85 (xuntil6(s218)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32722, 32720])).
% 9.38/6.85 tff(32724,plain,
% 9.38/6.85 (until5(s219)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10945, 32723])).
% 9.38/6.85 tff(32725,plain,
% 9.38/6.85 (~node4(s219)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10949, 22, 32707])).
% 9.38/6.85 tff(32726,plain,
% 9.38/6.85 (xuntil6(s219) | (~until5(s219))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10956, 36, 32725])).
% 9.38/6.85 tff(32727,plain,
% 9.38/6.85 (xuntil6(s219)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32726, 32724])).
% 9.38/6.85 tff(32728,plain,
% 9.38/6.85 (until5(s220)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10962, 32727])).
% 9.38/6.85 tff(32729,plain,
% 9.38/6.85 (~node4(s220)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10966, 22, 32706])).
% 9.38/6.85 tff(32730,plain,
% 9.38/6.85 (xuntil6(s220) | (~until5(s220))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10973, 36, 32729])).
% 9.38/6.85 tff(32731,plain,
% 9.38/6.85 (xuntil6(s220)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32730, 32728])).
% 9.38/6.85 tff(32732,plain,
% 9.38/6.85 (until5(s221)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10979, 32731])).
% 9.38/6.85 tff(32733,plain,
% 9.38/6.85 (~node4(s221)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10983, 22, 32705])).
% 9.38/6.85 tff(32734,plain,
% 9.38/6.85 (xuntil6(s221) | (~until5(s221))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10990, 36, 32733])).
% 9.38/6.85 tff(32735,plain,
% 9.38/6.85 (xuntil6(s221)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32734, 32732])).
% 9.38/6.85 tff(32736,plain,
% 9.38/6.85 (until5(s222)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10996, 32735])).
% 9.38/6.85 tff(32737,plain,
% 9.38/6.85 (~node4(s222)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11000, 22, 32704])).
% 9.38/6.85 tff(32738,plain,
% 9.38/6.85 (xuntil6(s222) | (~until5(s222))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11007, 36, 32737])).
% 9.38/6.85 tff(32739,plain,
% 9.38/6.85 (xuntil6(s222)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32738, 32736])).
% 9.38/6.85 tff(32740,plain,
% 9.38/6.85 (until5(s223)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11013, 32739])).
% 9.38/6.85 tff(32741,plain,
% 9.38/6.85 (~node4(s223)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11017, 22, 32703])).
% 9.38/6.85 tff(32742,plain,
% 9.38/6.85 (xuntil6(s223) | (~until5(s223))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11024, 36, 32741])).
% 9.38/6.85 tff(32743,plain,
% 9.38/6.85 (xuntil6(s223)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32742, 32740])).
% 9.38/6.85 tff(32744,plain,
% 9.38/6.85 (until5(s224)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11030, 32743])).
% 9.38/6.85 tff(32745,plain,
% 9.38/6.85 (~node4(s224)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11034, 22, 32702])).
% 9.38/6.85 tff(32746,plain,
% 9.38/6.85 (xuntil6(s224) | (~until5(s224))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11041, 36, 32745])).
% 9.38/6.85 tff(32747,plain,
% 9.38/6.85 (xuntil6(s224)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32746, 32744])).
% 9.38/6.85 tff(32748,plain,
% 9.38/6.85 (until5(s225)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11047, 32747])).
% 9.38/6.85 tff(32749,plain,
% 9.38/6.85 (~node4(s225)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11051, 22, 32701])).
% 9.38/6.85 tff(32750,plain,
% 9.38/6.85 (xuntil6(s225) | (~until5(s225))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11058, 36, 32749])).
% 9.38/6.85 tff(32751,plain,
% 9.38/6.85 (xuntil6(s225)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32750, 32748])).
% 9.38/6.85 tff(32752,plain,
% 9.38/6.85 (until5(s226)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11064, 32751])).
% 9.38/6.85 tff(32753,plain,
% 9.38/6.85 (~node4(s226)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11068, 22, 32700])).
% 9.38/6.85 tff(32754,plain,
% 9.38/6.85 (xuntil6(s226) | (~until5(s226))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11075, 36, 32753])).
% 9.38/6.85 tff(32755,plain,
% 9.38/6.85 (xuntil6(s226)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32754, 32752])).
% 9.38/6.85 tff(32756,plain,
% 9.38/6.85 (until5(s227)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11081, 32755])).
% 9.38/6.85 tff(32757,plain,
% 9.38/6.85 (~node4(s227)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11085, 22, 32699])).
% 9.38/6.85 tff(32758,plain,
% 9.38/6.85 (xuntil6(s227) | (~until5(s227))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11092, 36, 32757])).
% 9.38/6.85 tff(32759,plain,
% 9.38/6.85 (xuntil6(s227)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32758, 32756])).
% 9.38/6.85 tff(32760,plain,
% 9.38/6.85 ($false),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11098, 32759, 32698])).
% 9.38/6.85 tff(32761,plain,(always3(s239) | xuntil6(s239) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.85 tff(32762,plain,
% 9.38/6.85 (always3(s239)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32761, 32640, 6320])).
% 9.38/6.85 tff(32763,plain,
% 9.38/6.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s239)) | (~m_main_v_state(s239, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s239)) | (~m_main_v_state(s239, c_busy)))),
% 9.38/6.85 inference(rewrite,[status(thm)],[])).
% 9.38/6.85 tff(32764,plain,
% 9.38/6.85 (((~m_main_v_state(s239, c_busy)) | (~always3(s239))) <=> ((~always3(s239)) | (~m_main_v_state(s239, c_busy)))),
% 9.38/6.85 inference(rewrite,[status(thm)],[])).
% 9.38/6.85 tff(32765,plain,
% 9.38/6.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s239, c_busy)) | (~always3(s239)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s239)) | (~m_main_v_state(s239, c_busy))))),
% 9.38/6.85 inference(monotonicity,[status(thm)],[32764])).
% 9.38/6.85 tff(32766,plain,
% 9.38/6.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s239, c_busy)) | (~always3(s239)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s239)) | (~m_main_v_state(s239, c_busy)))),
% 9.38/6.85 inference(transitivity,[status(thm)],[32765, 32763])).
% 9.38/6.85 tff(32767,plain,
% 9.38/6.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s239, c_busy)) | (~always3(s239)))),
% 9.38/6.85 inference(quant_inst,[status(thm)],[])).
% 9.38/6.85 tff(32768,plain,
% 9.38/6.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s239)) | (~m_main_v_state(s239, c_busy))),
% 9.38/6.85 inference(modus_ponens,[status(thm)],[32767, 32766])).
% 9.38/6.85 tff(32769,plain,
% 9.38/6.85 (~m_main_v_state(s239, c_busy)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32768, 170, 32762])).
% 9.38/6.85 tff(32770,plain,
% 9.38/6.85 (always3(s240)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6034, 32762])).
% 9.38/6.85 tff(32771,plain,
% 9.38/6.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s240)) | (~m_main_v_state(s240, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s240)) | (~m_main_v_state(s240, c_busy)))),
% 9.38/6.85 inference(rewrite,[status(thm)],[])).
% 9.38/6.85 tff(32772,plain,
% 9.38/6.85 (((~m_main_v_state(s240, c_busy)) | (~always3(s240))) <=> ((~always3(s240)) | (~m_main_v_state(s240, c_busy)))),
% 9.38/6.85 inference(rewrite,[status(thm)],[])).
% 9.38/6.85 tff(32773,plain,
% 9.38/6.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s240, c_busy)) | (~always3(s240)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s240)) | (~m_main_v_state(s240, c_busy))))),
% 9.38/6.85 inference(monotonicity,[status(thm)],[32772])).
% 9.38/6.85 tff(32774,plain,
% 9.38/6.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s240, c_busy)) | (~always3(s240)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s240)) | (~m_main_v_state(s240, c_busy)))),
% 9.38/6.85 inference(transitivity,[status(thm)],[32773, 32771])).
% 9.38/6.85 tff(32775,plain,
% 9.38/6.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s240, c_busy)) | (~always3(s240)))),
% 9.38/6.85 inference(quant_inst,[status(thm)],[])).
% 9.38/6.85 tff(32776,plain,
% 9.38/6.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s240)) | (~m_main_v_state(s240, c_busy))),
% 9.38/6.85 inference(modus_ponens,[status(thm)],[32775, 32774])).
% 9.38/6.85 tff(32777,plain,
% 9.38/6.85 (~m_main_v_state(s240, c_busy)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32776, 170, 32770])).
% 9.38/6.85 tff(32778,plain,
% 9.38/6.85 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s239, c_busy) | m_main_v_state(s239, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s239, c_busy) | m_main_v_state(s239, c_ready))),
% 9.38/6.85 inference(rewrite,[status(thm)],[])).
% 9.38/6.85 tff(32779,plain,
% 9.38/6.85 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s239, c_busy) | m_main_v_state(s239, c_ready))),
% 9.38/6.85 inference(quant_inst,[status(thm)],[])).
% 9.38/6.85 tff(32780,plain,
% 9.38/6.85 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s239, c_busy) | m_main_v_state(s239, c_ready)),
% 9.38/6.85 inference(modus_ponens,[status(thm)],[32779, 32778])).
% 9.38/6.85 tff(32781,plain,
% 9.38/6.85 (m_main_v_state(s239, c_ready)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32780, 213, 32769])).
% 9.38/6.85 tff(32782,plain,
% 9.38/6.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s239, s240)) | node2(s239, s240))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s239, s240)) | node2(s239, s240))),
% 9.38/6.85 inference(rewrite,[status(thm)],[])).
% 9.38/6.85 tff(32783,plain,
% 9.38/6.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s239, s240)) | node2(s239, s240))),
% 9.38/6.85 inference(quant_inst,[status(thm)],[])).
% 9.38/6.85 tff(32784,plain,
% 9.38/6.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s239, s240)) | node2(s239, s240)),
% 9.38/6.85 inference(modus_ponens,[status(thm)],[32783, 32782])).
% 9.38/6.85 tff(32785,plain,
% 9.38/6.85 (node2(s239, s240)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32784, 7, 6030])).
% 9.38/6.85 tff(32786,plain,
% 9.38/6.85 (((~![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(s239, c_ready)) | (~node2(s239, s240)) | m_main_v_state(s240, c_busy) | (~m_main_v_request(s239)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s239, c_ready)) | (~node2(s239, s240)) | m_main_v_state(s240, c_busy) | (~m_main_v_request(s239)))),
% 9.38/6.85 inference(rewrite,[status(thm)],[])).
% 9.38/6.85 tff(32787,plain,
% 9.38/6.85 ((~![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(s239, c_ready)) | (~node2(s239, s240)) | m_main_v_state(s240, c_busy) | (~m_main_v_request(s239)))),
% 9.38/6.85 inference(quant_inst,[status(thm)],[])).
% 9.38/6.85 tff(32788,plain,
% 9.38/6.85 ((~![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(s239, c_ready)) | (~node2(s239, s240)) | m_main_v_state(s240, c_busy) | (~m_main_v_request(s239))),
% 9.38/6.85 inference(modus_ponens,[status(thm)],[32787, 32786])).
% 9.38/6.85 tff(32789,plain,
% 9.38/6.85 ((~m_main_v_state(s239, c_ready)) | m_main_v_state(s240, c_busy) | (~m_main_v_request(s239))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32788, 191, 32785])).
% 9.38/6.85 tff(32790,plain,
% 9.38/6.85 (~m_main_v_request(s239)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32789, 32781, 32777])).
% 9.38/6.85 tff(32791,plain,
% 9.38/6.85 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s239) | (~node4(s239)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s239) | (~node4(s239)))),
% 9.38/6.85 inference(rewrite,[status(thm)],[])).
% 9.38/6.85 tff(32792,plain,
% 9.38/6.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s239) | (~node4(s239)))),
% 9.38/6.85 inference(quant_inst,[status(thm)],[])).
% 9.38/6.85 tff(32793,plain,
% 9.38/6.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s239) | (~node4(s239))),
% 9.38/6.85 inference(modus_ponens,[status(thm)],[32792, 32791])).
% 9.38/6.85 tff(32794,plain,
% 9.38/6.85 (~node4(s239)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32793, 154, 32790])).
% 9.38/6.85 tff(32795,plain,
% 9.38/6.85 (~until5(s239)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32645, 32794])).
% 9.38/6.85 tff(32796,plain,
% 9.38/6.85 (~xuntil6(s238)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11285, 32795])).
% 9.38/6.85 tff(32797,assumption,(~always3(s228)), introduced(assumption)).
% 9.38/6.85 tff(32798,plain,
% 9.38/6.85 (~always3(s227)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6178, 32797])).
% 9.38/6.85 tff(32799,plain,
% 9.38/6.85 (~always3(s226)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6190, 32798])).
% 9.38/6.85 tff(32800,plain,
% 9.38/6.85 (~always3(s225)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6202, 32799])).
% 9.38/6.85 tff(32801,plain,
% 9.38/6.85 (~always3(s224)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6214, 32800])).
% 9.38/6.85 tff(32802,plain,
% 9.38/6.85 (~always3(s223)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6226, 32801])).
% 9.38/6.85 tff(32803,plain,
% 9.38/6.85 (~always3(s222)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6238, 32802])).
% 9.38/6.85 tff(32804,plain,
% 9.38/6.85 (~always3(s221)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6250, 32803])).
% 9.38/6.85 tff(32805,plain,
% 9.38/6.85 (~always3(s220)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6262, 32804])).
% 9.38/6.85 tff(32806,plain,
% 9.38/6.85 (~always3(s219)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6274, 32805])).
% 9.38/6.85 tff(32807,plain,
% 9.38/6.85 (~always3(s218)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6286, 32806])).
% 9.38/6.85 tff(32808,plain,
% 9.38/6.85 (~always3(s217)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6298, 32807])).
% 9.38/6.85 tff(32809,plain,
% 9.38/6.85 (~node4(s217)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6302, 22, 32808])).
% 9.38/6.85 tff(32810,plain,
% 9.38/6.85 (~always3(s216)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6314, 32808])).
% 9.38/6.85 tff(32811,plain,
% 9.38/6.85 (~node4(s216)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6318, 22, 32810])).
% 9.38/6.85 tff(32812,plain,
% 9.38/6.85 (~always3(s215)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6331, 32810])).
% 9.38/6.85 tff(32813,plain,
% 9.38/6.85 (xuntil6(s215)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10898, 32812, 6320])).
% 9.38/6.85 tff(32814,plain,
% 9.38/6.85 (until5(s216)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10903, 32813])).
% 9.38/6.85 tff(32815,plain,
% 9.38/6.85 (xuntil6(s216) | node4(s216)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10910, 36, 32814])).
% 9.38/6.85 tff(32816,plain,
% 9.38/6.85 (xuntil6(s216)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32815, 32811])).
% 9.38/6.85 tff(32817,plain,
% 9.38/6.85 (until5(s217)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10916, 32816])).
% 9.38/6.85 tff(32818,plain,
% 9.38/6.85 (xuntil6(s217)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10923, 36, 32817, 32809])).
% 9.38/6.85 tff(32819,plain,
% 9.38/6.85 (until5(s218)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10928, 32818])).
% 9.38/6.85 tff(32820,plain,
% 9.38/6.85 (~node4(s218)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10932, 22, 32807])).
% 9.38/6.85 tff(32821,plain,
% 9.38/6.85 (xuntil6(s218) | (~until5(s218))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10939, 36, 32820])).
% 9.38/6.85 tff(32822,plain,
% 9.38/6.85 (xuntil6(s218)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32821, 32819])).
% 9.38/6.85 tff(32823,plain,
% 9.38/6.85 (until5(s219)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10945, 32822])).
% 9.38/6.85 tff(32824,plain,
% 9.38/6.85 (~node4(s219)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10949, 22, 32806])).
% 9.38/6.85 tff(32825,plain,
% 9.38/6.85 (xuntil6(s219) | (~until5(s219))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10956, 36, 32824])).
% 9.38/6.85 tff(32826,plain,
% 9.38/6.85 (xuntil6(s219)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32825, 32823])).
% 9.38/6.85 tff(32827,plain,
% 9.38/6.85 (until5(s220)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10962, 32826])).
% 9.38/6.85 tff(32828,plain,
% 9.38/6.85 (~node4(s220)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10966, 22, 32805])).
% 9.38/6.85 tff(32829,plain,
% 9.38/6.85 (xuntil6(s220) | (~until5(s220))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10973, 36, 32828])).
% 9.38/6.85 tff(32830,plain,
% 9.38/6.85 (xuntil6(s220)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32829, 32827])).
% 9.38/6.85 tff(32831,plain,
% 9.38/6.85 (until5(s221)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10979, 32830])).
% 9.38/6.85 tff(32832,plain,
% 9.38/6.85 (~node4(s221)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10983, 22, 32804])).
% 9.38/6.85 tff(32833,plain,
% 9.38/6.85 (xuntil6(s221) | (~until5(s221))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10990, 36, 32832])).
% 9.38/6.85 tff(32834,plain,
% 9.38/6.85 (xuntil6(s221)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32833, 32831])).
% 9.38/6.85 tff(32835,plain,
% 9.38/6.85 (until5(s222)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[10996, 32834])).
% 9.38/6.85 tff(32836,plain,
% 9.38/6.85 (~node4(s222)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11000, 22, 32803])).
% 9.38/6.85 tff(32837,plain,
% 9.38/6.85 (xuntil6(s222) | (~until5(s222))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11007, 36, 32836])).
% 9.38/6.85 tff(32838,plain,
% 9.38/6.85 (xuntil6(s222)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32837, 32835])).
% 9.38/6.85 tff(32839,plain,
% 9.38/6.85 (until5(s223)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11013, 32838])).
% 9.38/6.85 tff(32840,plain,
% 9.38/6.85 (~node4(s223)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11017, 22, 32802])).
% 9.38/6.85 tff(32841,plain,
% 9.38/6.85 (xuntil6(s223) | (~until5(s223))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11024, 36, 32840])).
% 9.38/6.85 tff(32842,plain,
% 9.38/6.85 (xuntil6(s223)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32841, 32839])).
% 9.38/6.85 tff(32843,plain,
% 9.38/6.85 (until5(s224)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11030, 32842])).
% 9.38/6.85 tff(32844,plain,
% 9.38/6.85 (~node4(s224)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11034, 22, 32801])).
% 9.38/6.85 tff(32845,plain,
% 9.38/6.85 (xuntil6(s224) | (~until5(s224))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11041, 36, 32844])).
% 9.38/6.85 tff(32846,plain,
% 9.38/6.85 (xuntil6(s224)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32845, 32843])).
% 9.38/6.85 tff(32847,plain,
% 9.38/6.85 (until5(s225)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11047, 32846])).
% 9.38/6.85 tff(32848,plain,
% 9.38/6.85 (~node4(s225)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11051, 22, 32800])).
% 9.38/6.85 tff(32849,plain,
% 9.38/6.85 (xuntil6(s225) | (~until5(s225))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11058, 36, 32848])).
% 9.38/6.85 tff(32850,plain,
% 9.38/6.85 (xuntil6(s225)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32849, 32847])).
% 9.38/6.85 tff(32851,plain,
% 9.38/6.85 (until5(s226)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11064, 32850])).
% 9.38/6.85 tff(32852,plain,
% 9.38/6.85 (~node4(s226)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11068, 22, 32799])).
% 9.38/6.85 tff(32853,plain,
% 9.38/6.85 (xuntil6(s226) | (~until5(s226))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11075, 36, 32852])).
% 9.38/6.85 tff(32854,plain,
% 9.38/6.85 (xuntil6(s226)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32853, 32851])).
% 9.38/6.85 tff(32855,plain,
% 9.38/6.85 (until5(s227)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11081, 32854])).
% 9.38/6.85 tff(32856,assumption,(~xuntil6(s238)), introduced(assumption)).
% 9.38/6.85 tff(32857,assumption,(~always3(s238)), introduced(assumption)).
% 9.38/6.85 tff(32858,plain,
% 9.38/6.85 (~always3(s237)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6058, 32857])).
% 9.38/6.85 tff(32859,plain,
% 9.38/6.85 (~always3(s236)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6070, 32858])).
% 9.38/6.85 tff(32860,plain,
% 9.38/6.85 (~always3(s235)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6082, 32859])).
% 9.38/6.85 tff(32861,plain,
% 9.38/6.85 (~always3(s234)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6094, 32860])).
% 9.38/6.85 tff(32862,plain,
% 9.38/6.85 (~always3(s233)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6106, 32861])).
% 9.38/6.85 tff(32863,plain,
% 9.38/6.85 (~always3(s232)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6118, 32862])).
% 9.38/6.85 tff(32864,plain,
% 9.38/6.85 (~always3(s231)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6130, 32863])).
% 9.38/6.85 tff(32865,plain,
% 9.38/6.85 (~always3(s230)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6142, 32864])).
% 9.38/6.85 tff(32866,plain,
% 9.38/6.85 (~always3(s229)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6154, 32865])).
% 9.38/6.85 tff(32867,plain,
% 9.38/6.85 (~always3(s228)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6166, 32866])).
% 9.38/6.85 tff(32868,plain,
% 9.38/6.85 (~node4(s228)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11102, 22, 32867])).
% 9.38/6.85 tff(32869,plain,
% 9.38/6.85 (~always3(s227)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[6178, 32867])).
% 9.38/6.85 tff(32870,plain,
% 9.38/6.85 (~node4(s227)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11085, 22, 32869])).
% 9.38/6.85 tff(32871,assumption,(until5(s227)), introduced(assumption)).
% 9.38/6.85 tff(32872,plain,
% 9.38/6.85 (xuntil6(s227) | node4(s227)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11092, 36, 32871])).
% 9.38/6.85 tff(32873,plain,
% 9.38/6.85 (xuntil6(s227)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32872, 32870])).
% 9.38/6.85 tff(32874,plain,
% 9.38/6.85 (until5(s228)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11098, 32873])).
% 9.38/6.85 tff(32875,plain,
% 9.38/6.85 (xuntil6(s228)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11109, 36, 32874, 32868])).
% 9.38/6.85 tff(32876,plain,
% 9.38/6.85 (until5(s229)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11115, 32875])).
% 9.38/6.85 tff(32877,plain,
% 9.38/6.85 (~node4(s229)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11119, 22, 32866])).
% 9.38/6.85 tff(32878,plain,
% 9.38/6.85 (xuntil6(s229) | (~until5(s229))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11126, 36, 32877])).
% 9.38/6.85 tff(32879,plain,
% 9.38/6.85 (xuntil6(s229)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32878, 32876])).
% 9.38/6.85 tff(32880,plain,
% 9.38/6.85 (until5(s230)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11132, 32879])).
% 9.38/6.85 tff(32881,plain,
% 9.38/6.85 (~node4(s230)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11136, 22, 32865])).
% 9.38/6.85 tff(32882,plain,
% 9.38/6.85 (xuntil6(s230) | (~until5(s230))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11143, 36, 32881])).
% 9.38/6.85 tff(32883,plain,
% 9.38/6.85 (xuntil6(s230)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32882, 32880])).
% 9.38/6.85 tff(32884,plain,
% 9.38/6.85 (until5(s231)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11149, 32883])).
% 9.38/6.85 tff(32885,plain,
% 9.38/6.85 (~node4(s231)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11153, 22, 32864])).
% 9.38/6.85 tff(32886,plain,
% 9.38/6.85 (xuntil6(s231) | (~until5(s231))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11160, 36, 32885])).
% 9.38/6.85 tff(32887,plain,
% 9.38/6.85 (xuntil6(s231)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32886, 32884])).
% 9.38/6.85 tff(32888,plain,
% 9.38/6.85 (until5(s232)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11166, 32887])).
% 9.38/6.85 tff(32889,plain,
% 9.38/6.85 (~node4(s232)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11170, 22, 32863])).
% 9.38/6.85 tff(32890,plain,
% 9.38/6.85 (xuntil6(s232) | (~until5(s232))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11177, 36, 32889])).
% 9.38/6.85 tff(32891,plain,
% 9.38/6.85 (xuntil6(s232)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32890, 32888])).
% 9.38/6.85 tff(32892,plain,
% 9.38/6.85 (until5(s233)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11183, 32891])).
% 9.38/6.85 tff(32893,plain,
% 9.38/6.85 (~node4(s233)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11187, 22, 32862])).
% 9.38/6.85 tff(32894,plain,
% 9.38/6.85 (xuntil6(s233) | (~until5(s233))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11194, 36, 32893])).
% 9.38/6.85 tff(32895,plain,
% 9.38/6.85 (xuntil6(s233)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32894, 32892])).
% 9.38/6.85 tff(32896,plain,
% 9.38/6.85 (until5(s234)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11200, 32895])).
% 9.38/6.85 tff(32897,plain,
% 9.38/6.85 (~node4(s234)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11204, 22, 32861])).
% 9.38/6.85 tff(32898,plain,
% 9.38/6.85 (xuntil6(s234) | (~until5(s234))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11211, 36, 32897])).
% 9.38/6.85 tff(32899,plain,
% 9.38/6.85 (xuntil6(s234)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32898, 32896])).
% 9.38/6.85 tff(32900,plain,
% 9.38/6.85 (until5(s235)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11217, 32899])).
% 9.38/6.85 tff(32901,plain,
% 9.38/6.85 (~node4(s235)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11221, 22, 32860])).
% 9.38/6.85 tff(32902,plain,
% 9.38/6.85 (xuntil6(s235) | (~until5(s235))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11228, 36, 32901])).
% 9.38/6.85 tff(32903,plain,
% 9.38/6.85 (xuntil6(s235)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32902, 32900])).
% 9.38/6.85 tff(32904,plain,
% 9.38/6.85 (until5(s236)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11234, 32903])).
% 9.38/6.85 tff(32905,plain,
% 9.38/6.85 (~node4(s236)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11238, 22, 32859])).
% 9.38/6.85 tff(32906,plain,
% 9.38/6.85 (xuntil6(s236) | (~until5(s236))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11245, 36, 32905])).
% 9.38/6.85 tff(32907,plain,
% 9.38/6.85 (xuntil6(s236)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32906, 32904])).
% 9.38/6.85 tff(32908,plain,
% 9.38/6.85 (until5(s237)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11251, 32907])).
% 9.38/6.85 tff(32909,plain,
% 9.38/6.85 (~node4(s237)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11255, 22, 32858])).
% 9.38/6.85 tff(32910,plain,
% 9.38/6.85 (xuntil6(s237) | (~until5(s237))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11262, 36, 32909])).
% 9.38/6.85 tff(32911,plain,
% 9.38/6.85 (xuntil6(s237)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32910, 32908])).
% 9.38/6.85 tff(32912,plain,
% 9.38/6.85 (until5(s238)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11268, 32911])).
% 9.38/6.85 tff(32913,plain,
% 9.38/6.85 (node4(s238) | (~until5(s238))),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11279, 36, 32856])).
% 9.38/6.85 tff(32914,plain,
% 9.38/6.85 (node4(s238)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32913, 32912])).
% 9.38/6.85 tff(32915,plain,
% 9.38/6.85 ($false),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[11272, 22, 32857, 32914])).
% 9.38/6.85 tff(32916,plain,(always3(s238) | xuntil6(s238) | (~until5(s227))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.85 tff(32917,plain,
% 9.38/6.85 (always3(s238)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32916, 32855, 32856])).
% 9.38/6.85 tff(32918,plain,
% 9.38/6.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s238)) | (~m_main_v_state(s238, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s238)) | (~m_main_v_state(s238, c_busy)))),
% 9.38/6.85 inference(rewrite,[status(thm)],[])).
% 9.38/6.85 tff(32919,plain,
% 9.38/6.85 (((~m_main_v_state(s238, c_busy)) | (~always3(s238))) <=> ((~always3(s238)) | (~m_main_v_state(s238, c_busy)))),
% 9.38/6.85 inference(rewrite,[status(thm)],[])).
% 9.38/6.85 tff(32920,plain,
% 9.38/6.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s238, c_busy)) | (~always3(s238)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s238)) | (~m_main_v_state(s238, c_busy))))),
% 9.38/6.85 inference(monotonicity,[status(thm)],[32919])).
% 9.38/6.85 tff(32921,plain,
% 9.38/6.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s238, c_busy)) | (~always3(s238)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s238)) | (~m_main_v_state(s238, c_busy)))),
% 9.38/6.85 inference(transitivity,[status(thm)],[32920, 32918])).
% 9.38/6.85 tff(32922,plain,
% 9.38/6.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s238, c_busy)) | (~always3(s238)))),
% 9.38/6.85 inference(quant_inst,[status(thm)],[])).
% 9.38/6.85 tff(32923,plain,
% 9.38/6.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s238)) | (~m_main_v_state(s238, c_busy))),
% 9.38/6.85 inference(modus_ponens,[status(thm)],[32922, 32921])).
% 9.38/6.85 tff(32924,plain,
% 9.38/6.85 (~m_main_v_state(s238, c_busy)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32923, 170, 32917])).
% 9.38/6.85 tff(32925,assumption,(~m_main_v_state(s239, c_busy)), introduced(assumption)).
% 9.38/6.85 tff(32926,plain,
% 9.38/6.85 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s238, c_busy) | m_main_v_state(s238, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s238, c_busy) | m_main_v_state(s238, c_ready))),
% 9.38/6.85 inference(rewrite,[status(thm)],[])).
% 9.38/6.85 tff(32927,plain,
% 9.38/6.85 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s238, c_busy) | m_main_v_state(s238, c_ready))),
% 9.38/6.85 inference(quant_inst,[status(thm)],[])).
% 9.38/6.85 tff(32928,plain,
% 9.38/6.85 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s238, c_busy) | m_main_v_state(s238, c_ready)),
% 9.38/6.85 inference(modus_ponens,[status(thm)],[32927, 32926])).
% 9.38/6.85 tff(32929,plain,
% 9.38/6.85 (m_main_v_state(s238, c_ready)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32928, 213, 32924])).
% 9.38/6.85 tff(32930,plain,
% 9.38/6.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s238, s239)) | node2(s238, s239))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s238, s239)) | node2(s238, s239))),
% 9.38/6.85 inference(rewrite,[status(thm)],[])).
% 9.38/6.85 tff(32931,plain,
% 9.38/6.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s238, s239)) | node2(s238, s239))),
% 9.38/6.85 inference(quant_inst,[status(thm)],[])).
% 9.38/6.85 tff(32932,plain,
% 9.38/6.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s238, s239)) | node2(s238, s239)),
% 9.38/6.85 inference(modus_ponens,[status(thm)],[32931, 32930])).
% 9.38/6.85 tff(32933,plain,
% 9.38/6.85 (node2(s238, s239)),
% 9.38/6.85 inference(unit_resolution,[status(thm)],[32932, 7, 6042])).
% 9.38/6.85 tff(32934,plain,
% 9.38/6.85 (((~![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(s238, c_ready)) | (~node2(s238, s239)) | m_main_v_state(s239, c_busy) | (~m_main_v_request(s238)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s238, c_ready)) | (~node2(s238, s239)) | m_main_v_state(s239, c_busy) | (~m_main_v_request(s238)))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(32935,plain,
% 9.38/6.86 ((~![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(s238, c_ready)) | (~node2(s238, s239)) | m_main_v_state(s239, c_busy) | (~m_main_v_request(s238)))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(32936,plain,
% 9.38/6.86 ((~![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(s238, c_ready)) | (~node2(s238, s239)) | m_main_v_state(s239, c_busy) | (~m_main_v_request(s238))),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[32935, 32934])).
% 9.38/6.86 tff(32937,plain,
% 9.38/6.86 ((~m_main_v_state(s238, c_ready)) | m_main_v_state(s239, c_busy) | (~m_main_v_request(s238))),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[32936, 191, 32933])).
% 9.38/6.86 tff(32938,plain,
% 9.38/6.86 (~m_main_v_request(s238)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[32937, 32929, 32925])).
% 9.38/6.86 tff(32939,plain,
% 9.38/6.86 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s238) | (~node4(s238)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s238) | (~node4(s238)))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(32940,plain,
% 9.38/6.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s238) | (~node4(s238)))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(32941,plain,
% 9.38/6.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s238) | (~node4(s238))),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[32940, 32939])).
% 9.38/6.86 tff(32942,plain,
% 9.38/6.86 (~node4(s238)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[32941, 154, 32938])).
% 9.38/6.86 tff(32943,plain,
% 9.38/6.86 (~until5(s238)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[32913, 32942])).
% 9.38/6.86 tff(32944,plain,
% 9.38/6.86 (~xuntil6(s237)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11268, 32943])).
% 9.38/6.86 tff(32945,assumption,(~xuntil6(s237)), introduced(assumption)).
% 9.38/6.86 tff(32946,assumption,(until5(s236)), introduced(assumption)).
% 9.38/6.86 tff(32947,assumption,(~always3(s237)), introduced(assumption)).
% 9.38/6.86 tff(32948,plain,
% 9.38/6.86 (~always3(s236)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[6070, 32947])).
% 9.38/6.86 tff(32949,plain,
% 9.38/6.86 (~node4(s236)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11238, 22, 32948])).
% 9.38/6.86 tff(32950,plain,
% 9.38/6.86 (xuntil6(s236) | node4(s236)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11245, 36, 32946])).
% 9.38/6.86 tff(32951,plain,
% 9.38/6.86 (xuntil6(s236)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[32950, 32949])).
% 9.38/6.86 tff(32952,plain,
% 9.38/6.86 (until5(s237)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11251, 32951])).
% 9.38/6.86 tff(32953,plain,
% 9.38/6.86 (node4(s237) | (~until5(s237))),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11262, 36, 32945])).
% 9.38/6.86 tff(32954,plain,
% 9.38/6.86 (node4(s237)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[32953, 32952])).
% 9.38/6.86 tff(32955,plain,
% 9.38/6.86 ($false),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11255, 22, 32947, 32954])).
% 9.38/6.86 tff(32956,plain,(always3(s237) | xuntil6(s237) | (~until5(s236))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.86 tff(32957,plain,
% 9.38/6.86 (always3(s237)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[32956, 32946, 32945])).
% 9.38/6.86 tff(32958,plain,
% 9.38/6.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s237)) | (~m_main_v_state(s237, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s237)) | (~m_main_v_state(s237, c_busy)))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(32959,plain,
% 9.38/6.86 (((~m_main_v_state(s237, c_busy)) | (~always3(s237))) <=> ((~always3(s237)) | (~m_main_v_state(s237, c_busy)))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(32960,plain,
% 9.38/6.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s237, c_busy)) | (~always3(s237)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s237)) | (~m_main_v_state(s237, c_busy))))),
% 9.38/6.86 inference(monotonicity,[status(thm)],[32959])).
% 9.38/6.86 tff(32961,plain,
% 9.38/6.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s237, c_busy)) | (~always3(s237)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s237)) | (~m_main_v_state(s237, c_busy)))),
% 9.38/6.86 inference(transitivity,[status(thm)],[32960, 32958])).
% 9.38/6.86 tff(32962,plain,
% 9.38/6.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s237, c_busy)) | (~always3(s237)))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(32963,plain,
% 9.38/6.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s237)) | (~m_main_v_state(s237, c_busy))),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[32962, 32961])).
% 9.38/6.86 tff(32964,plain,
% 9.38/6.86 (~m_main_v_state(s237, c_busy)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[32963, 170, 32957])).
% 9.38/6.86 tff(32965,assumption,(~m_main_v_state(s238, c_busy)), introduced(assumption)).
% 9.38/6.86 tff(32966,plain,
% 9.38/6.86 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s237, c_busy) | m_main_v_state(s237, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s237, c_busy) | m_main_v_state(s237, c_ready))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(32967,plain,
% 9.38/6.86 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s237, c_busy) | m_main_v_state(s237, c_ready))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(32968,plain,
% 9.38/6.86 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s237, c_busy) | m_main_v_state(s237, c_ready)),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[32967, 32966])).
% 9.38/6.86 tff(32969,plain,
% 9.38/6.86 (m_main_v_state(s237, c_ready)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[32968, 213, 32964])).
% 9.38/6.86 tff(32970,plain,
% 9.38/6.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s237, s238)) | node2(s237, s238))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s237, s238)) | node2(s237, s238))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(32971,plain,
% 9.38/6.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s237, s238)) | node2(s237, s238))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(32972,plain,
% 9.38/6.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s237, s238)) | node2(s237, s238)),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[32971, 32970])).
% 9.38/6.86 tff(32973,plain,
% 9.38/6.86 (node2(s237, s238)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[32972, 7, 6054])).
% 9.38/6.86 tff(32974,plain,
% 9.38/6.86 (((~![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(s237, c_ready)) | (~node2(s237, s238)) | m_main_v_state(s238, c_busy) | (~m_main_v_request(s237)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s237, c_ready)) | (~node2(s237, s238)) | m_main_v_state(s238, c_busy) | (~m_main_v_request(s237)))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(32975,plain,
% 9.38/6.86 ((~![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(s237, c_ready)) | (~node2(s237, s238)) | m_main_v_state(s238, c_busy) | (~m_main_v_request(s237)))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(32976,plain,
% 9.38/6.86 ((~![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(s237, c_ready)) | (~node2(s237, s238)) | m_main_v_state(s238, c_busy) | (~m_main_v_request(s237))),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[32975, 32974])).
% 9.38/6.86 tff(32977,plain,
% 9.38/6.86 ((~m_main_v_state(s237, c_ready)) | m_main_v_state(s238, c_busy) | (~m_main_v_request(s237))),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[32976, 191, 32973])).
% 9.38/6.86 tff(32978,plain,
% 9.38/6.86 (~m_main_v_request(s237)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[32977, 32969, 32965])).
% 9.38/6.86 tff(32979,plain,
% 9.38/6.86 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s237) | (~node4(s237)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s237) | (~node4(s237)))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(32980,plain,
% 9.38/6.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s237) | (~node4(s237)))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(32981,plain,
% 9.38/6.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s237) | (~node4(s237))),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[32980, 32979])).
% 9.38/6.86 tff(32982,plain,
% 9.38/6.86 (~node4(s237)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[32981, 154, 32978])).
% 9.38/6.86 tff(32983,plain,
% 9.38/6.86 (~until5(s237)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[32953, 32982])).
% 9.38/6.86 tff(32984,plain,
% 9.38/6.86 (~xuntil6(s236)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11251, 32983])).
% 9.38/6.86 tff(32985,plain,
% 9.38/6.86 (node4(s236)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[32950, 32984])).
% 9.38/6.86 tff(32986,plain,
% 9.38/6.86 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s236) | (~node4(s236)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s236) | (~node4(s236)))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(32987,plain,
% 9.38/6.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s236) | (~node4(s236)))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(32988,plain,
% 9.38/6.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s236) | (~node4(s236))),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[32987, 32986])).
% 9.38/6.86 tff(32989,plain,
% 9.38/6.86 (m_main_v_request(s236)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[32988, 154, 32985])).
% 9.38/6.86 tff(32990,plain,
% 9.38/6.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s236, s237)) | node2(s236, s237))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s236, s237)) | node2(s236, s237))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(32991,plain,
% 9.38/6.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s236, s237)) | node2(s236, s237))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(32992,plain,
% 9.38/6.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s236, s237)) | node2(s236, s237)),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[32991, 32990])).
% 9.38/6.86 tff(32993,plain,
% 9.38/6.86 (node2(s236, s237)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[32992, 7, 6066])).
% 9.38/6.86 tff(32994,plain,
% 9.38/6.86 (((~![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(s236, c_ready)) | (~node2(s236, s237)) | m_main_v_state(s237, c_busy) | (~m_main_v_request(s236)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s236, c_ready)) | (~node2(s236, s237)) | m_main_v_state(s237, c_busy) | (~m_main_v_request(s236)))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(32995,plain,
% 9.38/6.86 ((~![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(s236, c_ready)) | (~node2(s236, s237)) | m_main_v_state(s237, c_busy) | (~m_main_v_request(s236)))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(32996,plain,
% 9.38/6.86 ((~![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(s236, c_ready)) | (~node2(s236, s237)) | m_main_v_state(s237, c_busy) | (~m_main_v_request(s236))),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[32995, 32994])).
% 9.38/6.86 tff(32997,plain,
% 9.38/6.86 ((~m_main_v_state(s236, c_ready)) | m_main_v_state(s237, c_busy) | (~m_main_v_request(s236))),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[32996, 191, 32993])).
% 9.38/6.86 tff(32998,plain,
% 9.38/6.86 (~m_main_v_state(s236, c_ready)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[32997, 32989, 32964])).
% 9.38/6.86 tff(32999,plain,
% 9.38/6.86 (always3(s236)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11238, 22, 32985])).
% 9.38/6.86 tff(33000,plain,
% 9.38/6.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s236)) | (~m_main_v_state(s236, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s236)) | (~m_main_v_state(s236, c_busy)))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(33001,plain,
% 9.38/6.86 (((~m_main_v_state(s236, c_busy)) | (~always3(s236))) <=> ((~always3(s236)) | (~m_main_v_state(s236, c_busy)))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(33002,plain,
% 9.38/6.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s236, c_busy)) | (~always3(s236)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s236)) | (~m_main_v_state(s236, c_busy))))),
% 9.38/6.86 inference(monotonicity,[status(thm)],[33001])).
% 9.38/6.86 tff(33003,plain,
% 9.38/6.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s236, c_busy)) | (~always3(s236)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s236)) | (~m_main_v_state(s236, c_busy)))),
% 9.38/6.86 inference(transitivity,[status(thm)],[33002, 33000])).
% 9.38/6.86 tff(33004,plain,
% 9.38/6.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s236, c_busy)) | (~always3(s236)))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(33005,plain,
% 9.38/6.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s236)) | (~m_main_v_state(s236, c_busy))),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[33004, 33003])).
% 9.38/6.86 tff(33006,plain,
% 9.38/6.86 (~m_main_v_state(s236, c_busy)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33005, 170, 32999])).
% 9.38/6.86 tff(33007,plain,
% 9.38/6.86 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s236, c_busy) | m_main_v_state(s236, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s236, c_busy) | m_main_v_state(s236, c_ready))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(33008,plain,
% 9.38/6.86 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s236, c_busy) | m_main_v_state(s236, c_ready))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(33009,plain,
% 9.38/6.86 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s236, c_busy) | m_main_v_state(s236, c_ready)),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[33008, 33007])).
% 9.38/6.86 tff(33010,plain,
% 9.38/6.86 ($false),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33009, 213, 33006, 32998])).
% 9.38/6.86 tff(33011,plain,((~until5(s236)) | xuntil6(s237) | m_main_v_state(s238, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.38/6.86 tff(33012,plain,
% 9.38/6.86 (~until5(s236)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33011, 32944, 32924])).
% 9.38/6.86 tff(33013,plain,
% 9.38/6.86 (~xuntil6(s235)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11234, 33012])).
% 9.38/6.86 tff(33014,assumption,(~always3(s235)), introduced(assumption)).
% 9.38/6.86 tff(33015,plain,
% 9.38/6.86 (~always3(s234)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[6094, 33014])).
% 9.38/6.86 tff(33016,plain,
% 9.38/6.86 (~node4(s234)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11204, 22, 33015])).
% 9.38/6.86 tff(33017,plain,
% 9.38/6.86 (~node4(s235)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11221, 22, 33014])).
% 9.38/6.86 tff(33018,assumption,(~xuntil6(s235)), introduced(assumption)).
% 9.38/6.86 tff(33019,plain,
% 9.38/6.86 (node4(s235) | (~until5(s235))),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11228, 36, 33018])).
% 9.38/6.86 tff(33020,plain,
% 9.38/6.86 (~until5(s235)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33019, 33017])).
% 9.38/6.86 tff(33021,plain,
% 9.38/6.86 (~xuntil6(s234)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11217, 33020])).
% 9.38/6.86 tff(33022,plain,
% 9.38/6.86 (~until5(s234)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11211, 36, 33021, 33016])).
% 9.38/6.86 tff(33023,plain,
% 9.38/6.86 (~xuntil6(s233)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11200, 33022])).
% 9.38/6.86 tff(33024,plain,
% 9.38/6.86 (~always3(s233)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[6106, 33015])).
% 9.38/6.86 tff(33025,plain,
% 9.38/6.86 (~node4(s233)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11187, 22, 33024])).
% 9.38/6.86 tff(33026,plain,
% 9.38/6.86 (xuntil6(s233) | (~until5(s233))),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11194, 36, 33025])).
% 9.38/6.86 tff(33027,plain,
% 9.38/6.86 (~until5(s233)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33026, 33023])).
% 9.38/6.86 tff(33028,plain,
% 9.38/6.86 (~xuntil6(s232)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11183, 33027])).
% 9.38/6.86 tff(33029,plain,
% 9.38/6.86 (~always3(s232)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[6118, 33024])).
% 9.38/6.86 tff(33030,plain,
% 9.38/6.86 (~node4(s232)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11170, 22, 33029])).
% 9.38/6.86 tff(33031,plain,
% 9.38/6.86 (xuntil6(s232) | (~until5(s232))),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11177, 36, 33030])).
% 9.38/6.86 tff(33032,plain,
% 9.38/6.86 (~until5(s232)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33031, 33028])).
% 9.38/6.86 tff(33033,plain,
% 9.38/6.86 (~xuntil6(s231)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11166, 33032])).
% 9.38/6.86 tff(33034,plain,
% 9.38/6.86 (~always3(s231)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[6130, 33029])).
% 9.38/6.86 tff(33035,plain,
% 9.38/6.86 (~always3(s230)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[6142, 33034])).
% 9.38/6.86 tff(33036,plain,
% 9.38/6.86 (~always3(s229)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[6154, 33035])).
% 9.38/6.86 tff(33037,plain,
% 9.38/6.86 (~always3(s228)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[6166, 33036])).
% 9.38/6.86 tff(33038,plain,
% 9.38/6.86 (~node4(s228)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11102, 22, 33037])).
% 9.38/6.86 tff(33039,plain,
% 9.38/6.86 (~always3(s227)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[6178, 33037])).
% 9.38/6.86 tff(33040,plain,
% 9.38/6.86 (~node4(s227)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11085, 22, 33039])).
% 9.38/6.86 tff(33041,plain,
% 9.38/6.86 (xuntil6(s227)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[32872, 33040])).
% 9.38/6.86 tff(33042,plain,
% 9.38/6.86 (until5(s228)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11098, 33041])).
% 9.38/6.86 tff(33043,plain,
% 9.38/6.86 (xuntil6(s228)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11109, 36, 33042, 33038])).
% 9.38/6.86 tff(33044,plain,
% 9.38/6.86 (until5(s229)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11115, 33043])).
% 9.38/6.86 tff(33045,plain,
% 9.38/6.86 (~node4(s229)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11119, 22, 33036])).
% 9.38/6.86 tff(33046,plain,
% 9.38/6.86 (xuntil6(s229) | (~until5(s229))),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11126, 36, 33045])).
% 9.38/6.86 tff(33047,plain,
% 9.38/6.86 (xuntil6(s229)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33046, 33044])).
% 9.38/6.86 tff(33048,plain,
% 9.38/6.86 (until5(s230)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11132, 33047])).
% 9.38/6.86 tff(33049,plain,
% 9.38/6.86 (~node4(s230)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11136, 22, 33035])).
% 9.38/6.86 tff(33050,plain,
% 9.38/6.86 (xuntil6(s230) | (~until5(s230))),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11143, 36, 33049])).
% 9.38/6.86 tff(33051,plain,
% 9.38/6.86 (xuntil6(s230)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33050, 33048])).
% 9.38/6.86 tff(33052,plain,
% 9.38/6.86 (until5(s231)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11149, 33051])).
% 9.38/6.86 tff(33053,plain,
% 9.38/6.86 (~node4(s231)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11153, 22, 33034])).
% 9.38/6.86 tff(33054,plain,
% 9.38/6.86 (xuntil6(s231) | (~until5(s231))),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11160, 36, 33053])).
% 9.38/6.86 tff(33055,plain,
% 9.38/6.86 ($false),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33054, 33052, 33033])).
% 9.38/6.86 tff(33056,plain,(always3(s235) | (~until5(s227)) | xuntil6(s235)), inference(lemma,lemma(discharge,[]))).
% 9.38/6.86 tff(33057,plain,
% 9.38/6.86 (always3(s235)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33056, 33013, 32855])).
% 9.38/6.86 tff(33058,plain,
% 9.38/6.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s235)) | (~m_main_v_state(s235, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s235)) | (~m_main_v_state(s235, c_busy)))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(33059,plain,
% 9.38/6.86 (((~m_main_v_state(s235, c_busy)) | (~always3(s235))) <=> ((~always3(s235)) | (~m_main_v_state(s235, c_busy)))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(33060,plain,
% 9.38/6.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s235, c_busy)) | (~always3(s235)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s235)) | (~m_main_v_state(s235, c_busy))))),
% 9.38/6.86 inference(monotonicity,[status(thm)],[33059])).
% 9.38/6.86 tff(33061,plain,
% 9.38/6.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s235, c_busy)) | (~always3(s235)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s235)) | (~m_main_v_state(s235, c_busy)))),
% 9.38/6.86 inference(transitivity,[status(thm)],[33060, 33058])).
% 9.38/6.86 tff(33062,plain,
% 9.38/6.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s235, c_busy)) | (~always3(s235)))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(33063,plain,
% 9.38/6.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s235)) | (~m_main_v_state(s235, c_busy))),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[33062, 33061])).
% 9.38/6.86 tff(33064,plain,
% 9.38/6.86 (~m_main_v_state(s235, c_busy)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33063, 170, 33057])).
% 9.38/6.86 tff(33065,assumption,(~m_main_v_state(s235, c_busy)), introduced(assumption)).
% 9.38/6.86 tff(33066,assumption,(node4(s234)), introduced(assumption)).
% 9.38/6.86 tff(33067,plain,
% 9.38/6.86 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s234) | (~node4(s234)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s234) | (~node4(s234)))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(33068,plain,
% 9.38/6.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s234) | (~node4(s234)))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(33069,plain,
% 9.38/6.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s234) | (~node4(s234))),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[33068, 33067])).
% 9.38/6.86 tff(33070,plain,
% 9.38/6.86 (m_main_v_request(s234)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33069, 154, 33066])).
% 9.38/6.86 tff(33071,plain,
% 9.38/6.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s234, s235)) | node2(s234, s235))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s234, s235)) | node2(s234, s235))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(33072,plain,
% 9.38/6.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s234, s235)) | node2(s234, s235))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(33073,plain,
% 9.38/6.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s234, s235)) | node2(s234, s235)),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[33072, 33071])).
% 9.38/6.86 tff(33074,plain,
% 9.38/6.86 (node2(s234, s235)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33073, 7, 6090])).
% 9.38/6.86 tff(33075,plain,
% 9.38/6.86 (((~![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(s234, c_ready)) | (~node2(s234, s235)) | m_main_v_state(s235, c_busy) | (~m_main_v_request(s234)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s234, c_ready)) | (~node2(s234, s235)) | m_main_v_state(s235, c_busy) | (~m_main_v_request(s234)))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(33076,plain,
% 9.38/6.86 ((~![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(s234, c_ready)) | (~node2(s234, s235)) | m_main_v_state(s235, c_busy) | (~m_main_v_request(s234)))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(33077,plain,
% 9.38/6.86 ((~![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(s234, c_ready)) | (~node2(s234, s235)) | m_main_v_state(s235, c_busy) | (~m_main_v_request(s234))),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[33076, 33075])).
% 9.38/6.86 tff(33078,plain,
% 9.38/6.86 ((~m_main_v_state(s234, c_ready)) | m_main_v_state(s235, c_busy) | (~m_main_v_request(s234))),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33077, 191, 33074])).
% 9.38/6.86 tff(33079,plain,
% 9.38/6.86 (~m_main_v_state(s234, c_ready)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33078, 33070, 33065])).
% 9.38/6.86 tff(33080,plain,
% 9.38/6.86 (always3(s234)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11204, 22, 33066])).
% 9.38/6.86 tff(33081,plain,
% 9.38/6.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s234)) | (~m_main_v_state(s234, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s234)) | (~m_main_v_state(s234, c_busy)))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(33082,plain,
% 9.38/6.86 (((~m_main_v_state(s234, c_busy)) | (~always3(s234))) <=> ((~always3(s234)) | (~m_main_v_state(s234, c_busy)))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(33083,plain,
% 9.38/6.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s234, c_busy)) | (~always3(s234)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s234)) | (~m_main_v_state(s234, c_busy))))),
% 9.38/6.86 inference(monotonicity,[status(thm)],[33082])).
% 9.38/6.86 tff(33084,plain,
% 9.38/6.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s234, c_busy)) | (~always3(s234)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s234)) | (~m_main_v_state(s234, c_busy)))),
% 9.38/6.86 inference(transitivity,[status(thm)],[33083, 33081])).
% 9.38/6.86 tff(33085,plain,
% 9.38/6.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s234, c_busy)) | (~always3(s234)))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(33086,plain,
% 9.38/6.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s234)) | (~m_main_v_state(s234, c_busy))),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[33085, 33084])).
% 9.38/6.86 tff(33087,plain,
% 9.38/6.86 (~m_main_v_state(s234, c_busy)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33086, 170, 33080])).
% 9.38/6.86 tff(33088,plain,
% 9.38/6.86 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s234, c_busy) | m_main_v_state(s234, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s234, c_busy) | m_main_v_state(s234, c_ready))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(33089,plain,
% 9.38/6.86 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s234, c_busy) | m_main_v_state(s234, c_ready))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(33090,plain,
% 9.38/6.86 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s234, c_busy) | m_main_v_state(s234, c_ready)),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[33089, 33088])).
% 9.38/6.86 tff(33091,plain,
% 9.38/6.86 ($false),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33090, 213, 33087, 33079])).
% 9.38/6.86 tff(33092,plain,((~node4(s234)) | m_main_v_state(s235, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.38/6.86 tff(33093,plain,
% 9.38/6.86 (~node4(s234)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33092, 33064])).
% 9.38/6.86 tff(33094,plain,
% 9.38/6.86 (always3(s236)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[6082, 33057])).
% 9.38/6.86 tff(33095,plain,
% 9.38/6.86 (~m_main_v_state(s236, c_busy)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33005, 170, 33094])).
% 9.38/6.86 tff(33096,plain,
% 9.38/6.86 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s235, c_busy) | m_main_v_state(s235, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s235, c_busy) | m_main_v_state(s235, c_ready))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(33097,plain,
% 9.38/6.86 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s235, c_busy) | m_main_v_state(s235, c_ready))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(33098,plain,
% 9.38/6.86 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s235, c_busy) | m_main_v_state(s235, c_ready)),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[33097, 33096])).
% 9.38/6.86 tff(33099,plain,
% 9.38/6.86 (m_main_v_state(s235, c_ready)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33098, 213, 33064])).
% 9.38/6.86 tff(33100,plain,
% 9.38/6.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s235, s236)) | node2(s235, s236))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s235, s236)) | node2(s235, s236))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(33101,plain,
% 9.38/6.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s235, s236)) | node2(s235, s236))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(33102,plain,
% 9.38/6.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s235, s236)) | node2(s235, s236)),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[33101, 33100])).
% 9.38/6.86 tff(33103,plain,
% 9.38/6.86 (node2(s235, s236)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33102, 7, 6078])).
% 9.38/6.86 tff(33104,plain,
% 9.38/6.86 (((~![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(s235, c_ready)) | (~node2(s235, s236)) | m_main_v_state(s236, c_busy) | (~m_main_v_request(s235)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s235, c_ready)) | (~node2(s235, s236)) | m_main_v_state(s236, c_busy) | (~m_main_v_request(s235)))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(33105,plain,
% 9.38/6.86 ((~![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(s235, c_ready)) | (~node2(s235, s236)) | m_main_v_state(s236, c_busy) | (~m_main_v_request(s235)))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(33106,plain,
% 9.38/6.86 ((~![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(s235, c_ready)) | (~node2(s235, s236)) | m_main_v_state(s236, c_busy) | (~m_main_v_request(s235))),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[33105, 33104])).
% 9.38/6.86 tff(33107,plain,
% 9.38/6.86 ((~m_main_v_state(s235, c_ready)) | m_main_v_state(s236, c_busy) | (~m_main_v_request(s235))),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33106, 191, 33103])).
% 9.38/6.86 tff(33108,plain,
% 9.38/6.86 (~m_main_v_request(s235)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33107, 33099, 33095])).
% 9.38/6.86 tff(33109,plain,
% 9.38/6.86 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s235) | (~node4(s235)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s235) | (~node4(s235)))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(33110,plain,
% 9.38/6.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s235) | (~node4(s235)))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(33111,plain,
% 9.38/6.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s235) | (~node4(s235))),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[33110, 33109])).
% 9.38/6.86 tff(33112,plain,
% 9.38/6.86 (~node4(s235)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33111, 154, 33108])).
% 9.38/6.86 tff(33113,plain,
% 9.38/6.86 (node4(s235) | (~until5(s235))),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11228, 36, 33013])).
% 9.38/6.86 tff(33114,plain,
% 9.38/6.86 (~until5(s235)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33113, 33112])).
% 9.38/6.86 tff(33115,plain,
% 9.38/6.86 (~xuntil6(s234)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11217, 33114])).
% 9.38/6.86 tff(33116,plain,
% 9.38/6.86 (~until5(s234)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11211, 36, 33115, 33093])).
% 9.38/6.86 tff(33117,plain,
% 9.38/6.86 (~xuntil6(s233)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11200, 33116])).
% 9.38/6.86 tff(33118,assumption,(~always3(s233)), introduced(assumption)).
% 9.38/6.86 tff(33119,plain,
% 9.38/6.86 (~always3(s232)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[6118, 33118])).
% 9.38/6.86 tff(33120,plain,
% 9.38/6.86 (~node4(s232)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11170, 22, 33119])).
% 9.38/6.86 tff(33121,plain,
% 9.38/6.86 (~node4(s233)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11187, 22, 33118])).
% 9.38/6.86 tff(33122,assumption,(~xuntil6(s233)), introduced(assumption)).
% 9.38/6.86 tff(33123,plain,
% 9.38/6.86 (node4(s233) | (~until5(s233))),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11194, 36, 33122])).
% 9.38/6.86 tff(33124,plain,
% 9.38/6.86 (~until5(s233)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33123, 33121])).
% 9.38/6.86 tff(33125,plain,
% 9.38/6.86 (~xuntil6(s232)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11183, 33124])).
% 9.38/6.86 tff(33126,plain,
% 9.38/6.86 (~until5(s232)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11177, 36, 33125, 33120])).
% 9.38/6.86 tff(33127,plain,
% 9.38/6.86 (~xuntil6(s231)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11166, 33126])).
% 9.38/6.86 tff(33128,plain,
% 9.38/6.86 (~always3(s231)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[6130, 33119])).
% 9.38/6.86 tff(33129,plain,
% 9.38/6.86 (~node4(s231)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11153, 22, 33128])).
% 9.38/6.86 tff(33130,plain,
% 9.38/6.86 (xuntil6(s231) | (~until5(s231))),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11160, 36, 33129])).
% 9.38/6.86 tff(33131,plain,
% 9.38/6.86 (~until5(s231)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33130, 33127])).
% 9.38/6.86 tff(33132,plain,
% 9.38/6.86 (~xuntil6(s230)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11149, 33131])).
% 9.38/6.86 tff(33133,plain,
% 9.38/6.86 (~always3(s230)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[6142, 33128])).
% 9.38/6.86 tff(33134,plain,
% 9.38/6.86 (~always3(s229)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[6154, 33133])).
% 9.38/6.86 tff(33135,plain,
% 9.38/6.86 (~always3(s228)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[6166, 33134])).
% 9.38/6.86 tff(33136,plain,
% 9.38/6.86 (~node4(s228)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11102, 22, 33135])).
% 9.38/6.86 tff(33137,plain,
% 9.38/6.86 (~always3(s227)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[6178, 33135])).
% 9.38/6.86 tff(33138,plain,
% 9.38/6.86 (~node4(s227)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11085, 22, 33137])).
% 9.38/6.86 tff(33139,plain,
% 9.38/6.86 (xuntil6(s227)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[32872, 33138])).
% 9.38/6.86 tff(33140,plain,
% 9.38/6.86 (until5(s228)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11098, 33139])).
% 9.38/6.86 tff(33141,plain,
% 9.38/6.86 (xuntil6(s228)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11109, 36, 33140, 33136])).
% 9.38/6.86 tff(33142,plain,
% 9.38/6.86 (until5(s229)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11115, 33141])).
% 9.38/6.86 tff(33143,plain,
% 9.38/6.86 (~node4(s229)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11119, 22, 33134])).
% 9.38/6.86 tff(33144,plain,
% 9.38/6.86 (xuntil6(s229) | (~until5(s229))),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11126, 36, 33143])).
% 9.38/6.86 tff(33145,plain,
% 9.38/6.86 (xuntil6(s229)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33144, 33142])).
% 9.38/6.86 tff(33146,plain,
% 9.38/6.86 (until5(s230)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11132, 33145])).
% 9.38/6.86 tff(33147,plain,
% 9.38/6.86 (~node4(s230)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11136, 22, 33133])).
% 9.38/6.86 tff(33148,plain,
% 9.38/6.86 (xuntil6(s230) | (~until5(s230))),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11143, 36, 33147])).
% 9.38/6.86 tff(33149,plain,
% 9.38/6.86 ($false),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33148, 33146, 33132])).
% 9.38/6.86 tff(33150,plain,(always3(s233) | (~until5(s227)) | xuntil6(s233)), inference(lemma,lemma(discharge,[]))).
% 9.38/6.86 tff(33151,plain,
% 9.38/6.86 (always3(s233)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33150, 33117, 32855])).
% 9.38/6.86 tff(33152,plain,
% 9.38/6.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s233)) | (~m_main_v_state(s233, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s233)) | (~m_main_v_state(s233, c_busy)))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(33153,plain,
% 9.38/6.86 (((~m_main_v_state(s233, c_busy)) | (~always3(s233))) <=> ((~always3(s233)) | (~m_main_v_state(s233, c_busy)))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(33154,plain,
% 9.38/6.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s233, c_busy)) | (~always3(s233)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s233)) | (~m_main_v_state(s233, c_busy))))),
% 9.38/6.86 inference(monotonicity,[status(thm)],[33153])).
% 9.38/6.86 tff(33155,plain,
% 9.38/6.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s233, c_busy)) | (~always3(s233)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s233)) | (~m_main_v_state(s233, c_busy)))),
% 9.38/6.86 inference(transitivity,[status(thm)],[33154, 33152])).
% 9.38/6.86 tff(33156,plain,
% 9.38/6.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s233, c_busy)) | (~always3(s233)))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(33157,plain,
% 9.38/6.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s233)) | (~m_main_v_state(s233, c_busy))),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[33156, 33155])).
% 9.38/6.86 tff(33158,plain,
% 9.38/6.86 (~m_main_v_state(s233, c_busy)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33157, 170, 33151])).
% 9.38/6.86 tff(33159,assumption,(~m_main_v_state(s233, c_busy)), introduced(assumption)).
% 9.38/6.86 tff(33160,assumption,(node4(s232)), introduced(assumption)).
% 9.38/6.86 tff(33161,plain,
% 9.38/6.86 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s232) | (~node4(s232)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s232) | (~node4(s232)))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(33162,plain,
% 9.38/6.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s232) | (~node4(s232)))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(33163,plain,
% 9.38/6.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s232) | (~node4(s232))),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[33162, 33161])).
% 9.38/6.86 tff(33164,plain,
% 9.38/6.86 (m_main_v_request(s232)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33163, 154, 33160])).
% 9.38/6.86 tff(33165,plain,
% 9.38/6.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s232, s233)) | node2(s232, s233))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s232, s233)) | node2(s232, s233))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(33166,plain,
% 9.38/6.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s232, s233)) | node2(s232, s233))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(33167,plain,
% 9.38/6.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s232, s233)) | node2(s232, s233)),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[33166, 33165])).
% 9.38/6.86 tff(33168,plain,
% 9.38/6.86 (node2(s232, s233)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33167, 7, 6114])).
% 9.38/6.86 tff(33169,plain,
% 9.38/6.86 (((~![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(s232, c_ready)) | (~node2(s232, s233)) | m_main_v_state(s233, c_busy) | (~m_main_v_request(s232)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s232, c_ready)) | (~node2(s232, s233)) | m_main_v_state(s233, c_busy) | (~m_main_v_request(s232)))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(33170,plain,
% 9.38/6.86 ((~![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(s232, c_ready)) | (~node2(s232, s233)) | m_main_v_state(s233, c_busy) | (~m_main_v_request(s232)))),
% 9.38/6.86 inference(quant_inst,[status(thm)],[])).
% 9.38/6.86 tff(33171,plain,
% 9.38/6.86 ((~![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(s232, c_ready)) | (~node2(s232, s233)) | m_main_v_state(s233, c_busy) | (~m_main_v_request(s232))),
% 9.38/6.86 inference(modus_ponens,[status(thm)],[33170, 33169])).
% 9.38/6.86 tff(33172,plain,
% 9.38/6.86 ((~m_main_v_state(s232, c_ready)) | m_main_v_state(s233, c_busy) | (~m_main_v_request(s232))),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33171, 191, 33168])).
% 9.38/6.86 tff(33173,plain,
% 9.38/6.86 (~m_main_v_state(s232, c_ready)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[33172, 33164, 33159])).
% 9.38/6.86 tff(33174,plain,
% 9.38/6.86 (always3(s232)),
% 9.38/6.86 inference(unit_resolution,[status(thm)],[11170, 22, 33160])).
% 9.38/6.86 tff(33175,plain,
% 9.38/6.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s232)) | (~m_main_v_state(s232, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s232)) | (~m_main_v_state(s232, c_busy)))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(33176,plain,
% 9.38/6.86 (((~m_main_v_state(s232, c_busy)) | (~always3(s232))) <=> ((~always3(s232)) | (~m_main_v_state(s232, c_busy)))),
% 9.38/6.86 inference(rewrite,[status(thm)],[])).
% 9.38/6.86 tff(33177,plain,
% 9.38/6.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s232, c_busy)) | (~always3(s232)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s232)) | (~m_main_v_state(s232, c_busy))))),
% 9.38/6.86 inference(monotonicity,[status(thm)],[33176])).
% 9.38/6.86 tff(33178,plain,
% 9.38/6.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s232, c_busy)) | (~always3(s232)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s232)) | (~m_main_v_state(s232, c_busy)))),
% 9.38/6.87 inference(transitivity,[status(thm)],[33177, 33175])).
% 9.38/6.87 tff(33179,plain,
% 9.38/6.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s232, c_busy)) | (~always3(s232)))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33180,plain,
% 9.38/6.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s232)) | (~m_main_v_state(s232, c_busy))),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33179, 33178])).
% 9.38/6.87 tff(33181,plain,
% 9.38/6.87 (~m_main_v_state(s232, c_busy)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33180, 170, 33174])).
% 9.38/6.87 tff(33182,plain,
% 9.38/6.87 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s232, c_busy) | m_main_v_state(s232, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s232, c_busy) | m_main_v_state(s232, c_ready))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33183,plain,
% 9.38/6.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s232, c_busy) | m_main_v_state(s232, c_ready))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33184,plain,
% 9.38/6.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s232, c_busy) | m_main_v_state(s232, c_ready)),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33183, 33182])).
% 9.38/6.87 tff(33185,plain,
% 9.38/6.87 ($false),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33184, 213, 33181, 33173])).
% 9.38/6.87 tff(33186,plain,((~node4(s232)) | m_main_v_state(s233, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.38/6.87 tff(33187,plain,
% 9.38/6.87 (~node4(s232)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33186, 33158])).
% 9.38/6.87 tff(33188,plain,
% 9.38/6.87 (always3(s234)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[6106, 33151])).
% 9.38/6.87 tff(33189,plain,
% 9.38/6.87 (~m_main_v_state(s234, c_busy)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33086, 170, 33188])).
% 9.38/6.87 tff(33190,plain,
% 9.38/6.87 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s233, c_busy) | m_main_v_state(s233, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s233, c_busy) | m_main_v_state(s233, c_ready))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33191,plain,
% 9.38/6.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s233, c_busy) | m_main_v_state(s233, c_ready))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33192,plain,
% 9.38/6.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s233, c_busy) | m_main_v_state(s233, c_ready)),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33191, 33190])).
% 9.38/6.87 tff(33193,plain,
% 9.38/6.87 (m_main_v_state(s233, c_ready)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33192, 213, 33158])).
% 9.38/6.87 tff(33194,plain,
% 9.38/6.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s233, s234)) | node2(s233, s234))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s233, s234)) | node2(s233, s234))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33195,plain,
% 9.38/6.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s233, s234)) | node2(s233, s234))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33196,plain,
% 9.38/6.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s233, s234)) | node2(s233, s234)),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33195, 33194])).
% 9.38/6.87 tff(33197,plain,
% 9.38/6.87 (node2(s233, s234)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33196, 7, 6102])).
% 9.38/6.87 tff(33198,plain,
% 9.38/6.87 (((~![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(s233, c_ready)) | (~node2(s233, s234)) | m_main_v_state(s234, c_busy) | (~m_main_v_request(s233)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s233, c_ready)) | (~node2(s233, s234)) | m_main_v_state(s234, c_busy) | (~m_main_v_request(s233)))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33199,plain,
% 9.38/6.87 ((~![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(s233, c_ready)) | (~node2(s233, s234)) | m_main_v_state(s234, c_busy) | (~m_main_v_request(s233)))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33200,plain,
% 9.38/6.87 ((~![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(s233, c_ready)) | (~node2(s233, s234)) | m_main_v_state(s234, c_busy) | (~m_main_v_request(s233))),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33199, 33198])).
% 9.38/6.87 tff(33201,plain,
% 9.38/6.87 ((~m_main_v_state(s233, c_ready)) | m_main_v_state(s234, c_busy) | (~m_main_v_request(s233))),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33200, 191, 33197])).
% 9.38/6.87 tff(33202,plain,
% 9.38/6.87 (~m_main_v_request(s233)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33201, 33193, 33189])).
% 9.38/6.87 tff(33203,plain,
% 9.38/6.87 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s233) | (~node4(s233)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s233) | (~node4(s233)))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33204,plain,
% 9.38/6.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s233) | (~node4(s233)))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33205,plain,
% 9.38/6.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s233) | (~node4(s233))),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33204, 33203])).
% 9.38/6.87 tff(33206,plain,
% 9.38/6.87 (~node4(s233)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33205, 154, 33202])).
% 9.38/6.87 tff(33207,plain,
% 9.38/6.87 (node4(s233) | (~until5(s233))),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11194, 36, 33117])).
% 9.38/6.87 tff(33208,plain,
% 9.38/6.87 (~until5(s233)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33207, 33206])).
% 9.38/6.87 tff(33209,plain,
% 9.38/6.87 (~xuntil6(s232)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11183, 33208])).
% 9.38/6.87 tff(33210,plain,
% 9.38/6.87 (~until5(s232)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11177, 36, 33209, 33187])).
% 9.38/6.87 tff(33211,plain,
% 9.38/6.87 (~xuntil6(s231)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11166, 33210])).
% 9.38/6.87 tff(33212,assumption,(~always3(s231)), introduced(assumption)).
% 9.38/6.87 tff(33213,plain,
% 9.38/6.87 (~always3(s230)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[6142, 33212])).
% 9.38/6.87 tff(33214,plain,
% 9.38/6.87 (~node4(s230)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11136, 22, 33213])).
% 9.38/6.87 tff(33215,plain,
% 9.38/6.87 (~node4(s231)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11153, 22, 33212])).
% 9.38/6.87 tff(33216,assumption,(~xuntil6(s231)), introduced(assumption)).
% 9.38/6.87 tff(33217,plain,
% 9.38/6.87 (node4(s231) | (~until5(s231))),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11160, 36, 33216])).
% 9.38/6.87 tff(33218,plain,
% 9.38/6.87 (~until5(s231)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33217, 33215])).
% 9.38/6.87 tff(33219,plain,
% 9.38/6.87 (~xuntil6(s230)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11149, 33218])).
% 9.38/6.87 tff(33220,plain,
% 9.38/6.87 (~until5(s230)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11143, 36, 33219, 33214])).
% 9.38/6.87 tff(33221,plain,
% 9.38/6.87 (~xuntil6(s229)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11132, 33220])).
% 9.38/6.87 tff(33222,plain,
% 9.38/6.87 (~always3(s229)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[6154, 33213])).
% 9.38/6.87 tff(33223,plain,
% 9.38/6.87 (~always3(s228)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[6166, 33222])).
% 9.38/6.87 tff(33224,plain,
% 9.38/6.87 (~node4(s228)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11102, 22, 33223])).
% 9.38/6.87 tff(33225,plain,
% 9.38/6.87 (~always3(s227)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[6178, 33223])).
% 9.38/6.87 tff(33226,plain,
% 9.38/6.87 (~node4(s227)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11085, 22, 33225])).
% 9.38/6.87 tff(33227,plain,
% 9.38/6.87 (xuntil6(s227)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[32872, 33226])).
% 9.38/6.87 tff(33228,plain,
% 9.38/6.87 (until5(s228)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11098, 33227])).
% 9.38/6.87 tff(33229,plain,
% 9.38/6.87 (xuntil6(s228)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11109, 36, 33228, 33224])).
% 9.38/6.87 tff(33230,plain,
% 9.38/6.87 (until5(s229)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11115, 33229])).
% 9.38/6.87 tff(33231,plain,
% 9.38/6.87 (~node4(s229)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11119, 22, 33222])).
% 9.38/6.87 tff(33232,plain,
% 9.38/6.87 (xuntil6(s229) | (~until5(s229))),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11126, 36, 33231])).
% 9.38/6.87 tff(33233,plain,
% 9.38/6.87 ($false),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33232, 33230, 33221])).
% 9.38/6.87 tff(33234,plain,(always3(s231) | (~until5(s227)) | xuntil6(s231)), inference(lemma,lemma(discharge,[]))).
% 9.38/6.87 tff(33235,plain,
% 9.38/6.87 (always3(s231)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33234, 33211, 32855])).
% 9.38/6.87 tff(33236,plain,
% 9.38/6.87 (((~![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)))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33237,plain,
% 9.38/6.87 (((~m_main_v_state(s231, c_busy)) | (~always3(s231))) <=> ((~always3(s231)) | (~m_main_v_state(s231, c_busy)))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33238,plain,
% 9.38/6.87 (((~![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))))),
% 9.38/6.87 inference(monotonicity,[status(thm)],[33237])).
% 9.38/6.87 tff(33239,plain,
% 9.38/6.87 (((~![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)))),
% 9.38/6.87 inference(transitivity,[status(thm)],[33238, 33236])).
% 9.38/6.87 tff(33240,plain,
% 9.38/6.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s231, c_busy)) | (~always3(s231)))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33241,plain,
% 9.38/6.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s231)) | (~m_main_v_state(s231, c_busy))),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33240, 33239])).
% 9.38/6.87 tff(33242,plain,
% 9.38/6.87 (~m_main_v_state(s231, c_busy)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33241, 170, 33235])).
% 9.38/6.87 tff(33243,assumption,(~m_main_v_state(s231, c_busy)), introduced(assumption)).
% 9.38/6.87 tff(33244,assumption,(node4(s230)), introduced(assumption)).
% 9.38/6.87 tff(33245,plain,
% 9.38/6.87 (((~![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)))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33246,plain,
% 9.38/6.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s230) | (~node4(s230)))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33247,plain,
% 9.38/6.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s230) | (~node4(s230))),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33246, 33245])).
% 9.38/6.87 tff(33248,plain,
% 9.38/6.87 (m_main_v_request(s230)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33247, 154, 33244])).
% 9.38/6.87 tff(33249,plain,
% 9.38/6.87 (((~![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))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33250,plain,
% 9.38/6.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s230, s231)) | node2(s230, s231))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33251,plain,
% 9.38/6.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s230, s231)) | node2(s230, s231)),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33250, 33249])).
% 9.38/6.87 tff(33252,plain,
% 9.38/6.87 (node2(s230, s231)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33251, 7, 6138])).
% 9.38/6.87 tff(33253,plain,
% 9.38/6.87 (((~![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(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)))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33254,plain,
% 9.38/6.87 ((~![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(s230, c_ready)) | (~node2(s230, s231)) | m_main_v_state(s231, c_busy) | (~m_main_v_request(s230)))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33255,plain,
% 9.38/6.87 ((~![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(s230, c_ready)) | (~node2(s230, s231)) | m_main_v_state(s231, c_busy) | (~m_main_v_request(s230))),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33254, 33253])).
% 9.38/6.87 tff(33256,plain,
% 9.38/6.87 ((~m_main_v_state(s230, c_ready)) | m_main_v_state(s231, c_busy) | (~m_main_v_request(s230))),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33255, 191, 33252])).
% 9.38/6.87 tff(33257,plain,
% 9.38/6.87 (~m_main_v_state(s230, c_ready)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33256, 33248, 33243])).
% 9.38/6.87 tff(33258,plain,
% 9.38/6.87 (always3(s230)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11136, 22, 33244])).
% 9.38/6.87 tff(33259,plain,
% 9.38/6.87 (((~![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)))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33260,plain,
% 9.38/6.87 (((~m_main_v_state(s230, c_busy)) | (~always3(s230))) <=> ((~always3(s230)) | (~m_main_v_state(s230, c_busy)))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33261,plain,
% 9.38/6.87 (((~![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))))),
% 9.38/6.87 inference(monotonicity,[status(thm)],[33260])).
% 9.38/6.87 tff(33262,plain,
% 9.38/6.87 (((~![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)))),
% 9.38/6.87 inference(transitivity,[status(thm)],[33261, 33259])).
% 9.38/6.87 tff(33263,plain,
% 9.38/6.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s230, c_busy)) | (~always3(s230)))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33264,plain,
% 9.38/6.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s230)) | (~m_main_v_state(s230, c_busy))),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33263, 33262])).
% 9.38/6.87 tff(33265,plain,
% 9.38/6.87 (~m_main_v_state(s230, c_busy)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33264, 170, 33258])).
% 9.38/6.87 tff(33266,plain,
% 9.38/6.87 (((~![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))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33267,plain,
% 9.38/6.87 ((~![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))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33268,plain,
% 9.38/6.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s230, c_busy) | m_main_v_state(s230, c_ready)),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33267, 33266])).
% 9.38/6.87 tff(33269,plain,
% 9.38/6.87 ($false),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33268, 213, 33265, 33257])).
% 9.38/6.87 tff(33270,plain,((~node4(s230)) | m_main_v_state(s231, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.38/6.87 tff(33271,plain,
% 9.38/6.87 (~node4(s230)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33270, 33242])).
% 9.38/6.87 tff(33272,plain,
% 9.38/6.87 (always3(s232)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[6130, 33235])).
% 9.38/6.87 tff(33273,plain,
% 9.38/6.87 (~m_main_v_state(s232, c_busy)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33180, 170, 33272])).
% 9.38/6.87 tff(33274,plain,
% 9.38/6.87 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s231, c_busy) | m_main_v_state(s231, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s231, c_busy) | m_main_v_state(s231, c_ready))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33275,plain,
% 9.38/6.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s231, c_busy) | m_main_v_state(s231, c_ready))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33276,plain,
% 9.38/6.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s231, c_busy) | m_main_v_state(s231, c_ready)),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33275, 33274])).
% 9.38/6.87 tff(33277,plain,
% 9.38/6.87 (m_main_v_state(s231, c_ready)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33276, 213, 33242])).
% 9.38/6.87 tff(33278,plain,
% 9.38/6.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s231, s232)) | node2(s231, s232))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s231, s232)) | node2(s231, s232))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33279,plain,
% 9.38/6.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s231, s232)) | node2(s231, s232))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33280,plain,
% 9.38/6.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s231, s232)) | node2(s231, s232)),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33279, 33278])).
% 9.38/6.87 tff(33281,plain,
% 9.38/6.87 (node2(s231, s232)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33280, 7, 6126])).
% 9.38/6.87 tff(33282,plain,
% 9.38/6.87 (((~![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(s231, c_ready)) | (~node2(s231, s232)) | m_main_v_state(s232, c_busy) | (~m_main_v_request(s231)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s231, c_ready)) | (~node2(s231, s232)) | m_main_v_state(s232, c_busy) | (~m_main_v_request(s231)))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33283,plain,
% 9.38/6.87 ((~![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(s231, c_ready)) | (~node2(s231, s232)) | m_main_v_state(s232, c_busy) | (~m_main_v_request(s231)))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33284,plain,
% 9.38/6.87 ((~![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(s231, c_ready)) | (~node2(s231, s232)) | m_main_v_state(s232, c_busy) | (~m_main_v_request(s231))),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33283, 33282])).
% 9.38/6.87 tff(33285,plain,
% 9.38/6.87 ((~m_main_v_state(s231, c_ready)) | m_main_v_state(s232, c_busy) | (~m_main_v_request(s231))),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33284, 191, 33281])).
% 9.38/6.87 tff(33286,plain,
% 9.38/6.87 (~m_main_v_request(s231)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33285, 33277, 33273])).
% 9.38/6.87 tff(33287,plain,
% 9.38/6.87 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s231) | (~node4(s231)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s231) | (~node4(s231)))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33288,plain,
% 9.38/6.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s231) | (~node4(s231)))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33289,plain,
% 9.38/6.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s231) | (~node4(s231))),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33288, 33287])).
% 9.38/6.87 tff(33290,plain,
% 9.38/6.87 (~node4(s231)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33289, 154, 33286])).
% 9.38/6.87 tff(33291,plain,
% 9.38/6.87 (node4(s231) | (~until5(s231))),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11160, 36, 33211])).
% 9.38/6.87 tff(33292,plain,
% 9.38/6.87 (~until5(s231)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33291, 33290])).
% 9.38/6.87 tff(33293,plain,
% 9.38/6.87 (~xuntil6(s230)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11149, 33292])).
% 9.38/6.87 tff(33294,plain,
% 9.38/6.87 (~until5(s230)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11143, 36, 33293, 33271])).
% 9.38/6.87 tff(33295,plain,
% 9.38/6.87 (~xuntil6(s229)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11132, 33294])).
% 9.38/6.87 tff(33296,assumption,(~always3(s229)), introduced(assumption)).
% 9.38/6.87 tff(33297,plain,
% 9.38/6.87 (~always3(s228)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[6166, 33296])).
% 9.38/6.87 tff(33298,plain,
% 9.38/6.87 (~node4(s228)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11102, 22, 33297])).
% 9.38/6.87 tff(33299,plain,
% 9.38/6.87 (~node4(s229)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11119, 22, 33296])).
% 9.38/6.87 tff(33300,assumption,(~xuntil6(s229)), introduced(assumption)).
% 9.38/6.87 tff(33301,plain,
% 9.38/6.87 (node4(s229) | (~until5(s229))),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11126, 36, 33300])).
% 9.38/6.87 tff(33302,plain,
% 9.38/6.87 (~until5(s229)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33301, 33299])).
% 9.38/6.87 tff(33303,plain,
% 9.38/6.87 (~xuntil6(s228)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11115, 33302])).
% 9.38/6.87 tff(33304,plain,
% 9.38/6.87 (~always3(s227)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[6178, 33297])).
% 9.38/6.87 tff(33305,plain,
% 9.38/6.87 (~node4(s227)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11085, 22, 33304])).
% 9.38/6.87 tff(33306,plain,
% 9.38/6.87 (xuntil6(s227)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[32872, 33305])).
% 9.38/6.87 tff(33307,plain,
% 9.38/6.87 (until5(s228)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11098, 33306])).
% 9.38/6.87 tff(33308,plain,
% 9.38/6.87 ($false),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11109, 36, 33307, 33303, 33298])).
% 9.38/6.87 tff(33309,plain,(always3(s229) | (~until5(s227)) | xuntil6(s229)), inference(lemma,lemma(discharge,[]))).
% 9.38/6.87 tff(33310,plain,
% 9.38/6.87 (always3(s229)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33309, 33295, 32855])).
% 9.38/6.87 tff(33311,plain,
% 9.38/6.87 (always3(s230)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[6154, 33310])).
% 9.38/6.87 tff(33312,plain,
% 9.38/6.87 (~m_main_v_state(s230, c_busy)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33264, 170, 33311])).
% 9.38/6.87 tff(33313,assumption,(node4(s227)), introduced(assumption)).
% 9.38/6.87 tff(33314,plain,
% 9.38/6.87 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s227) | (~node4(s227)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s227) | (~node4(s227)))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33315,plain,
% 9.38/6.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s227) | (~node4(s227)))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33316,plain,
% 9.38/6.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s227) | (~node4(s227))),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33315, 33314])).
% 9.38/6.87 tff(33317,plain,
% 9.38/6.87 (m_main_v_request(s227)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33316, 154, 33313])).
% 9.38/6.87 tff(33318,plain,
% 9.38/6.87 (always3(s227)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11085, 22, 33313])).
% 9.38/6.87 tff(33319,plain,
% 9.38/6.87 (always3(s228)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[6178, 33318])).
% 9.38/6.87 tff(33320,plain,
% 9.38/6.87 (((~![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)))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33321,plain,
% 9.38/6.87 (((~m_main_v_state(s228, c_busy)) | (~always3(s228))) <=> ((~always3(s228)) | (~m_main_v_state(s228, c_busy)))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33322,plain,
% 9.38/6.87 (((~![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))))),
% 9.38/6.87 inference(monotonicity,[status(thm)],[33321])).
% 9.38/6.87 tff(33323,plain,
% 9.38/6.87 (((~![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)))),
% 9.38/6.87 inference(transitivity,[status(thm)],[33322, 33320])).
% 9.38/6.87 tff(33324,plain,
% 9.38/6.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s228, c_busy)) | (~always3(s228)))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33325,plain,
% 9.38/6.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s228)) | (~m_main_v_state(s228, c_busy))),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33324, 33323])).
% 9.38/6.87 tff(33326,plain,
% 9.38/6.87 (~m_main_v_state(s228, c_busy)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33325, 170, 33319])).
% 9.38/6.87 tff(33327,plain,
% 9.38/6.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s227, s228)) | node2(s227, s228))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s227, s228)) | node2(s227, s228))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33328,plain,
% 9.38/6.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s227, s228)) | node2(s227, s228))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33329,plain,
% 9.38/6.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s227, s228)) | node2(s227, s228)),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33328, 33327])).
% 9.38/6.87 tff(33330,plain,
% 9.38/6.87 (node2(s227, s228)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33329, 7, 6174])).
% 9.38/6.87 tff(33331,plain,
% 9.38/6.87 (((~![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(s227, c_ready)) | (~node2(s227, s228)) | m_main_v_state(s228, c_busy) | (~m_main_v_request(s227)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s227, c_ready)) | (~node2(s227, s228)) | m_main_v_state(s228, c_busy) | (~m_main_v_request(s227)))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33332,plain,
% 9.38/6.87 ((~![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(s227, c_ready)) | (~node2(s227, s228)) | m_main_v_state(s228, c_busy) | (~m_main_v_request(s227)))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33333,plain,
% 9.38/6.87 ((~![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(s227, c_ready)) | (~node2(s227, s228)) | m_main_v_state(s228, c_busy) | (~m_main_v_request(s227))),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33332, 33331])).
% 9.38/6.87 tff(33334,plain,
% 9.38/6.87 ((~m_main_v_state(s227, c_ready)) | m_main_v_state(s228, c_busy) | (~m_main_v_request(s227))),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33333, 191, 33330])).
% 9.38/6.87 tff(33335,plain,
% 9.38/6.87 (~m_main_v_state(s227, c_ready)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33334, 33326, 33317])).
% 9.38/6.87 tff(33336,plain,
% 9.38/6.87 (~m_main_v_state(s227, c_busy)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[32578, 170, 33318])).
% 9.38/6.87 tff(33337,plain,
% 9.38/6.87 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s227, c_busy) | m_main_v_state(s227, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s227, c_busy) | m_main_v_state(s227, c_ready))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33338,plain,
% 9.38/6.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s227, c_busy) | m_main_v_state(s227, c_ready))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33339,plain,
% 9.38/6.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s227, c_busy) | m_main_v_state(s227, c_ready)),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33338, 33337])).
% 9.38/6.87 tff(33340,plain,
% 9.38/6.87 ($false),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33339, 213, 33336, 33335])).
% 9.38/6.87 tff(33341,plain,(~node4(s227)), inference(lemma,lemma(discharge,[]))).
% 9.38/6.87 tff(33342,plain,
% 9.38/6.87 (xuntil6(s227) | (~until5(s227))),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11092, 36, 33341])).
% 9.38/6.87 tff(33343,plain,
% 9.38/6.87 (xuntil6(s227)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33342, 32855])).
% 9.38/6.87 tff(33344,plain,
% 9.38/6.87 (until5(s228)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11098, 33343])).
% 9.38/6.87 tff(33345,plain,
% 9.38/6.87 (~node4(s228)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11102, 22, 32797])).
% 9.38/6.87 tff(33346,plain,
% 9.38/6.87 (xuntil6(s228) | (~until5(s228))),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11109, 36, 33345])).
% 9.38/6.87 tff(33347,plain,
% 9.38/6.87 (xuntil6(s228)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33346, 33344])).
% 9.38/6.87 tff(33348,plain,
% 9.38/6.87 (until5(s229)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11115, 33347])).
% 9.38/6.87 tff(33349,plain,
% 9.38/6.87 (xuntil6(s229) | node4(s229)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11126, 36, 33348])).
% 9.38/6.87 tff(33350,plain,
% 9.38/6.87 (node4(s229)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33349, 33295])).
% 9.38/6.87 tff(33351,plain,
% 9.38/6.87 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s229) | (~node4(s229)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s229) | (~node4(s229)))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33352,plain,
% 9.38/6.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s229) | (~node4(s229)))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33353,plain,
% 9.38/6.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s229) | (~node4(s229))),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33352, 33351])).
% 9.38/6.87 tff(33354,plain,
% 9.38/6.87 (m_main_v_request(s229)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33353, 154, 33350])).
% 9.38/6.87 tff(33355,plain,
% 9.38/6.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s229, s230)) | node2(s229, s230))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s229, s230)) | node2(s229, s230))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33356,plain,
% 9.38/6.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s229, s230)) | node2(s229, s230))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33357,plain,
% 9.38/6.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s229, s230)) | node2(s229, s230)),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33356, 33355])).
% 9.38/6.87 tff(33358,plain,
% 9.38/6.87 (node2(s229, s230)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33357, 7, 6150])).
% 9.38/6.87 tff(33359,plain,
% 9.38/6.87 (((~![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(s229, c_ready)) | (~node2(s229, s230)) | m_main_v_state(s230, c_busy) | (~m_main_v_request(s229)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s229, c_ready)) | (~node2(s229, s230)) | m_main_v_state(s230, c_busy) | (~m_main_v_request(s229)))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33360,plain,
% 9.38/6.87 ((~![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(s229, c_ready)) | (~node2(s229, s230)) | m_main_v_state(s230, c_busy) | (~m_main_v_request(s229)))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33361,plain,
% 9.38/6.87 ((~![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(s229, c_ready)) | (~node2(s229, s230)) | m_main_v_state(s230, c_busy) | (~m_main_v_request(s229))),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33360, 33359])).
% 9.38/6.87 tff(33362,plain,
% 9.38/6.87 ((~m_main_v_state(s229, c_ready)) | m_main_v_state(s230, c_busy) | (~m_main_v_request(s229))),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33361, 191, 33358])).
% 9.38/6.87 tff(33363,plain,
% 9.38/6.87 (~m_main_v_state(s229, c_ready)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33362, 33354, 33312])).
% 9.38/6.87 tff(33364,plain,
% 9.38/6.87 (((~![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)))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33365,plain,
% 9.38/6.87 (((~m_main_v_state(s229, c_busy)) | (~always3(s229))) <=> ((~always3(s229)) | (~m_main_v_state(s229, c_busy)))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33366,plain,
% 9.38/6.87 (((~![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))))),
% 9.38/6.87 inference(monotonicity,[status(thm)],[33365])).
% 9.38/6.87 tff(33367,plain,
% 9.38/6.87 (((~![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)))),
% 9.38/6.87 inference(transitivity,[status(thm)],[33366, 33364])).
% 9.38/6.87 tff(33368,plain,
% 9.38/6.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s229, c_busy)) | (~always3(s229)))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33369,plain,
% 9.38/6.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s229)) | (~m_main_v_state(s229, c_busy))),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33368, 33367])).
% 9.38/6.87 tff(33370,plain,
% 9.38/6.87 (~m_main_v_state(s229, c_busy)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33369, 170, 33310])).
% 9.38/6.87 tff(33371,plain,
% 9.38/6.87 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s229, c_busy) | m_main_v_state(s229, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s229, c_busy) | m_main_v_state(s229, c_ready))),
% 9.38/6.87 inference(rewrite,[status(thm)],[])).
% 9.38/6.87 tff(33372,plain,
% 9.38/6.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s229, c_busy) | m_main_v_state(s229, c_ready))),
% 9.38/6.87 inference(quant_inst,[status(thm)],[])).
% 9.38/6.87 tff(33373,plain,
% 9.38/6.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s229, c_busy) | m_main_v_state(s229, c_ready)),
% 9.38/6.87 inference(modus_ponens,[status(thm)],[33372, 33371])).
% 9.38/6.87 tff(33374,plain,
% 9.38/6.87 ($false),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33373, 213, 33370, 33363])).
% 9.38/6.87 tff(33375,plain,(always3(s228) | xuntil6(s238) | m_main_v_state(s239, c_busy) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.87 tff(33376,plain,
% 9.38/6.87 (always3(s228)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33375, 32796, 32769, 6320])).
% 9.38/6.87 tff(33377,plain,
% 9.38/6.87 (always3(s229)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[6166, 33376])).
% 9.38/6.87 tff(33378,plain,
% 9.38/6.87 (always3(s230)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[6154, 33377])).
% 9.38/6.87 tff(33379,plain,
% 9.38/6.87 (always3(s231)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[6142, 33378])).
% 9.38/6.87 tff(33380,plain,
% 9.38/6.87 (always3(s232)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[6130, 33379])).
% 9.38/6.87 tff(33381,plain,
% 9.38/6.87 (always3(s233)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[6118, 33380])).
% 9.38/6.87 tff(33382,plain,
% 9.38/6.87 (always3(s234)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[6106, 33381])).
% 9.38/6.87 tff(33383,plain,
% 9.38/6.87 (~m_main_v_state(s234, c_busy)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33086, 170, 33382])).
% 9.38/6.87 tff(33384,plain,
% 9.38/6.87 (~m_main_v_state(s233, c_busy)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33157, 170, 33381])).
% 9.38/6.87 tff(33385,plain,
% 9.38/6.87 (m_main_v_state(s233, c_ready)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33192, 213, 33384])).
% 9.38/6.87 tff(33386,plain,
% 9.38/6.87 (~m_main_v_request(s233)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33201, 33385, 33383])).
% 9.38/6.87 tff(33387,plain,
% 9.38/6.87 (~node4(s233)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33205, 154, 33386])).
% 9.38/6.87 tff(33388,plain,
% 9.38/6.87 (always3(s238)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[32916, 32796, 32871])).
% 9.38/6.87 tff(33389,plain,
% 9.38/6.87 (~m_main_v_state(s238, c_busy)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[32923, 170, 33388])).
% 9.38/6.87 tff(33390,plain,
% 9.38/6.87 (m_main_v_state(s238, c_ready)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[32928, 213, 33389])).
% 9.38/6.87 tff(33391,plain,
% 9.38/6.87 (~m_main_v_request(s238)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[32937, 33390, 32769])).
% 9.38/6.87 tff(33392,plain,
% 9.38/6.87 (~node4(s238)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[32941, 154, 33391])).
% 9.38/6.87 tff(33393,plain,
% 9.38/6.87 (node4(s238) | (~until5(s238))),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[11279, 36, 32796])).
% 9.38/6.87 tff(33394,plain,
% 9.38/6.87 (~until5(s238)),
% 9.38/6.87 inference(unit_resolution,[status(thm)],[33393, 33392])).
% 9.38/6.87 tff(33395,plain,
% 9.38/6.88 (~xuntil6(s237)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11268, 33394])).
% 9.38/6.88 tff(33396,plain,
% 9.38/6.88 (~until5(s236)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33011, 33395, 33389])).
% 9.38/6.88 tff(33397,plain,
% 9.38/6.88 (~xuntil6(s235)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11234, 33396])).
% 9.38/6.88 tff(33398,plain,
% 9.38/6.88 (always3(s235)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6094, 33382])).
% 9.38/6.88 tff(33399,plain,
% 9.38/6.88 (always3(s236)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6082, 33398])).
% 9.38/6.88 tff(33400,plain,
% 9.38/6.88 (~m_main_v_state(s236, c_busy)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33005, 170, 33399])).
% 9.38/6.88 tff(33401,plain,
% 9.38/6.88 (~m_main_v_state(s235, c_busy)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33063, 170, 33398])).
% 9.38/6.88 tff(33402,assumption,(~m_main_v_state(s234, c_busy)), introduced(assumption)).
% 9.38/6.88 tff(33403,assumption,(~m_main_v_state(s234, c_ready)), introduced(assumption)).
% 9.38/6.88 tff(33404,plain,
% 9.38/6.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s233, s234)) | m_main_v_state(s234, c_busy) | node1(s233) | m_main_v_state(s234, 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(s233, s234)) | m_main_v_state(s234, c_busy) | node1(s233) | m_main_v_state(s234, c_ready))),
% 9.38/6.88 inference(rewrite,[status(thm)],[])).
% 9.38/6.88 tff(33405,plain,
% 9.38/6.88 ((node1(s233) | m_main_v_state(s234, c_ready) | (~node2(s233, s234)) | m_main_v_state(s234, c_busy)) <=> ((~node2(s233, s234)) | m_main_v_state(s234, c_busy) | node1(s233) | m_main_v_state(s234, c_ready))),
% 9.38/6.88 inference(rewrite,[status(thm)],[])).
% 9.38/6.88 tff(33406,plain,
% 9.38/6.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s233) | m_main_v_state(s234, c_ready) | (~node2(s233, s234)) | m_main_v_state(s234, 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(s233, s234)) | m_main_v_state(s234, c_busy) | node1(s233) | m_main_v_state(s234, c_ready)))),
% 9.38/6.88 inference(monotonicity,[status(thm)],[33405])).
% 9.38/6.88 tff(33407,plain,
% 9.38/6.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s233) | m_main_v_state(s234, c_ready) | (~node2(s233, s234)) | m_main_v_state(s234, 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(s233, s234)) | m_main_v_state(s234, c_busy) | node1(s233) | m_main_v_state(s234, c_ready))),
% 9.38/6.88 inference(transitivity,[status(thm)],[33406, 33404])).
% 9.38/6.88 tff(33408,plain,
% 9.38/6.88 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s233) | m_main_v_state(s234, c_ready) | (~node2(s233, s234)) | m_main_v_state(s234, c_busy))),
% 9.38/6.88 inference(quant_inst,[status(thm)],[])).
% 9.38/6.88 tff(33409,plain,
% 9.38/6.88 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s233, s234)) | m_main_v_state(s234, c_busy) | node1(s233) | m_main_v_state(s234, c_ready)),
% 9.38/6.88 inference(modus_ponens,[status(thm)],[33408, 33407])).
% 9.38/6.88 tff(33410,plain,
% 9.38/6.88 (m_main_v_state(s234, c_busy) | node1(s233) | m_main_v_state(s234, c_ready)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33409, 4166, 33197])).
% 9.38/6.88 tff(33411,plain,
% 9.38/6.88 (node1(s233)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33410, 33403, 33402])).
% 9.38/6.88 tff(33412,plain,
% 9.38/6.88 (node1(s233)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33410, 33402, 33403])).
% 9.38/6.88 tff(33413,assumption,(m_main_v_state(s233, c_ready)), introduced(assumption)).
% 9.38/6.88 tff(33414,plain,
% 9.38/6.88 (~m_main_v_request(s233)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33201, 33402, 33413])).
% 9.38/6.88 tff(33415,plain,
% 9.38/6.88 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s233) | (~node1(s233)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s233) | (~node1(s233)))),
% 9.38/6.88 inference(rewrite,[status(thm)],[])).
% 9.38/6.88 tff(33416,plain,
% 9.38/6.88 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s233) | (~node1(s233)))),
% 9.38/6.88 inference(quant_inst,[status(thm)],[])).
% 9.38/6.88 tff(33417,plain,
% 9.38/6.88 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s233) | (~node1(s233))),
% 9.38/6.88 inference(modus_ponens,[status(thm)],[33416, 33415])).
% 9.38/6.88 tff(33418,plain,
% 9.38/6.88 ($false),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33417, 14380, 33414, 33412])).
% 9.38/6.88 tff(33419,plain,(m_main_v_state(s234, c_busy) | m_main_v_state(s234, c_ready) | (~m_main_v_state(s233, c_ready))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.88 tff(33420,plain,
% 9.38/6.88 (~m_main_v_state(s233, c_ready)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33419, 33403, 33402])).
% 9.38/6.88 tff(33421,plain,
% 9.38/6.88 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s233, c_ready) | (~node1(s233)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s233, c_ready) | (~node1(s233)))),
% 9.38/6.88 inference(rewrite,[status(thm)],[])).
% 9.38/6.88 tff(33422,plain,
% 9.38/6.88 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s233, c_ready) | (~node1(s233)))),
% 9.38/6.88 inference(quant_inst,[status(thm)],[])).
% 9.38/6.88 tff(33423,plain,
% 9.38/6.88 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s233, c_ready) | (~node1(s233))),
% 9.38/6.88 inference(modus_ponens,[status(thm)],[33422, 33421])).
% 9.38/6.88 tff(33424,plain,
% 9.38/6.88 ($false),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33423, 4151, 33420, 33411])).
% 9.38/6.88 tff(33425,plain,(m_main_v_state(s234, c_ready) | m_main_v_state(s234, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.38/6.88 tff(33426,plain,
% 9.38/6.88 (m_main_v_state(s234, c_ready)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33425, 33383])).
% 9.38/6.88 tff(33427,assumption,(~m_main_v_state(s235, c_ready)), introduced(assumption)).
% 9.38/6.88 tff(33428,plain,
% 9.38/6.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s234, s235)) | m_main_v_state(s235, c_busy) | node1(s234) | m_main_v_state(s235, 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(s234, s235)) | m_main_v_state(s235, c_busy) | node1(s234) | m_main_v_state(s235, c_ready))),
% 9.38/6.88 inference(rewrite,[status(thm)],[])).
% 9.38/6.88 tff(33429,plain,
% 9.38/6.88 ((node1(s234) | m_main_v_state(s235, c_ready) | (~node2(s234, s235)) | m_main_v_state(s235, c_busy)) <=> ((~node2(s234, s235)) | m_main_v_state(s235, c_busy) | node1(s234) | m_main_v_state(s235, c_ready))),
% 9.38/6.88 inference(rewrite,[status(thm)],[])).
% 9.38/6.88 tff(33430,plain,
% 9.38/6.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s234) | m_main_v_state(s235, c_ready) | (~node2(s234, s235)) | m_main_v_state(s235, 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(s234, s235)) | m_main_v_state(s235, c_busy) | node1(s234) | m_main_v_state(s235, c_ready)))),
% 9.38/6.88 inference(monotonicity,[status(thm)],[33429])).
% 9.38/6.88 tff(33431,plain,
% 9.38/6.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s234) | m_main_v_state(s235, c_ready) | (~node2(s234, s235)) | m_main_v_state(s235, 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(s234, s235)) | m_main_v_state(s235, c_busy) | node1(s234) | m_main_v_state(s235, c_ready))),
% 9.38/6.88 inference(transitivity,[status(thm)],[33430, 33428])).
% 9.38/6.88 tff(33432,plain,
% 9.38/6.88 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s234) | m_main_v_state(s235, c_ready) | (~node2(s234, s235)) | m_main_v_state(s235, c_busy))),
% 9.38/6.88 inference(quant_inst,[status(thm)],[])).
% 9.38/6.88 tff(33433,plain,
% 9.38/6.88 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s234, s235)) | m_main_v_state(s235, c_busy) | node1(s234) | m_main_v_state(s235, c_ready)),
% 9.38/6.88 inference(modus_ponens,[status(thm)],[33432, 33431])).
% 9.38/6.88 tff(33434,plain,
% 9.38/6.88 (m_main_v_state(s235, c_busy) | node1(s234) | m_main_v_state(s235, c_ready)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33433, 4166, 33074])).
% 9.38/6.88 tff(33435,plain,
% 9.38/6.88 (node1(s234)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33434, 33065, 33427])).
% 9.38/6.88 tff(33436,assumption,(m_main_v_state(s234, c_ready)), introduced(assumption)).
% 9.38/6.88 tff(33437,plain,
% 9.38/6.88 (~m_main_v_request(s234)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33078, 33065, 33436])).
% 9.38/6.88 tff(33438,plain,
% 9.38/6.88 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s234) | (~node1(s234)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s234) | (~node1(s234)))),
% 9.38/6.88 inference(rewrite,[status(thm)],[])).
% 9.38/6.88 tff(33439,plain,
% 9.38/6.88 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s234) | (~node1(s234)))),
% 9.38/6.88 inference(quant_inst,[status(thm)],[])).
% 9.38/6.88 tff(33440,plain,
% 9.38/6.88 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s234) | (~node1(s234))),
% 9.38/6.88 inference(modus_ponens,[status(thm)],[33439, 33438])).
% 9.38/6.88 tff(33441,plain,
% 9.38/6.88 ($false),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33440, 14380, 33437, 33435])).
% 9.38/6.88 tff(33442,plain,(m_main_v_state(s235, c_busy) | (~m_main_v_state(s234, c_ready)) | m_main_v_state(s235, c_ready)), inference(lemma,lemma(discharge,[]))).
% 9.38/6.88 tff(33443,plain,
% 9.38/6.88 (m_main_v_state(s235, c_ready)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33442, 33426, 33401])).
% 9.38/6.88 tff(33444,plain,
% 9.38/6.88 (~m_main_v_request(s235)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33107, 33443, 33400])).
% 9.38/6.88 tff(33445,plain,
% 9.38/6.88 (~node4(s235)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33111, 154, 33444])).
% 9.38/6.88 tff(33446,plain,
% 9.38/6.88 (xuntil6(s235) | (~until5(s235))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11228, 36, 33445])).
% 9.38/6.88 tff(33447,plain,
% 9.38/6.88 (~until5(s235)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33446, 33397])).
% 9.38/6.88 tff(33448,plain,
% 9.38/6.88 (~xuntil6(s234)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11217, 33447])).
% 9.38/6.88 tff(33449,plain,
% 9.38/6.88 (~node4(s234)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33092, 33401])).
% 9.38/6.88 tff(33450,plain,
% 9.38/6.88 (xuntil6(s234) | (~until5(s234))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11211, 36, 33449])).
% 9.38/6.88 tff(33451,plain,
% 9.38/6.88 (~until5(s234)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33450, 33448])).
% 9.38/6.88 tff(33452,plain,
% 9.38/6.88 (~xuntil6(s233)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11200, 33451])).
% 9.38/6.88 tff(33453,plain,
% 9.38/6.88 (~until5(s233)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11194, 36, 33452, 33387])).
% 9.38/6.88 tff(33454,plain,
% 9.38/6.88 (~xuntil6(s232)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11183, 33453])).
% 9.38/6.88 tff(33455,plain,
% 9.38/6.88 (~m_main_v_state(s232, c_busy)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33180, 170, 33380])).
% 9.38/6.88 tff(33456,plain,
% 9.38/6.88 (~m_main_v_state(s231, c_busy)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33241, 170, 33379])).
% 9.38/6.88 tff(33457,plain,
% 9.38/6.88 (m_main_v_state(s231, c_ready)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33276, 213, 33456])).
% 9.38/6.88 tff(33458,plain,
% 9.38/6.88 (~m_main_v_request(s231)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33285, 33457, 33455])).
% 9.38/6.88 tff(33459,plain,
% 9.38/6.88 (~node4(s231)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33289, 154, 33458])).
% 9.38/6.88 tff(33460,plain,
% 9.38/6.88 (~node4(s230)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33270, 33456])).
% 9.38/6.88 tff(33461,plain,
% 9.38/6.88 (~m_main_v_state(s230, c_busy)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33264, 170, 33378])).
% 9.38/6.88 tff(33462,plain,
% 9.38/6.88 (~m_main_v_state(s229, c_busy)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33369, 170, 33377])).
% 9.38/6.88 tff(33463,plain,
% 9.38/6.88 (~m_main_v_state(s228, c_busy)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33325, 170, 33376])).
% 9.38/6.88 tff(33464,assumption,(~m_main_v_state(s228, c_ready)), introduced(assumption)).
% 9.38/6.88 tff(33465,assumption,(~m_main_v_state(s228, c_busy)), introduced(assumption)).
% 9.38/6.88 tff(33466,plain,
% 9.38/6.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s227, s228)) | m_main_v_state(s228, c_busy) | node1(s227) | m_main_v_state(s228, 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(s227, s228)) | m_main_v_state(s228, c_busy) | node1(s227) | m_main_v_state(s228, c_ready))),
% 9.38/6.88 inference(rewrite,[status(thm)],[])).
% 9.38/6.88 tff(33467,plain,
% 9.38/6.88 ((node1(s227) | m_main_v_state(s228, c_ready) | (~node2(s227, s228)) | m_main_v_state(s228, c_busy)) <=> ((~node2(s227, s228)) | m_main_v_state(s228, c_busy) | node1(s227) | m_main_v_state(s228, c_ready))),
% 9.38/6.88 inference(rewrite,[status(thm)],[])).
% 9.38/6.88 tff(33468,plain,
% 9.38/6.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s227) | m_main_v_state(s228, c_ready) | (~node2(s227, s228)) | m_main_v_state(s228, 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(s227, s228)) | m_main_v_state(s228, c_busy) | node1(s227) | m_main_v_state(s228, c_ready)))),
% 9.38/6.88 inference(monotonicity,[status(thm)],[33467])).
% 9.38/6.88 tff(33469,plain,
% 9.38/6.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s227) | m_main_v_state(s228, c_ready) | (~node2(s227, s228)) | m_main_v_state(s228, 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(s227, s228)) | m_main_v_state(s228, c_busy) | node1(s227) | m_main_v_state(s228, c_ready))),
% 9.38/6.88 inference(transitivity,[status(thm)],[33468, 33466])).
% 9.38/6.88 tff(33470,plain,
% 9.38/6.88 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s227) | m_main_v_state(s228, c_ready) | (~node2(s227, s228)) | m_main_v_state(s228, c_busy))),
% 9.38/6.88 inference(quant_inst,[status(thm)],[])).
% 9.38/6.88 tff(33471,plain,
% 9.38/6.88 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s227, s228)) | m_main_v_state(s228, c_busy) | node1(s227) | m_main_v_state(s228, c_ready)),
% 9.38/6.88 inference(modus_ponens,[status(thm)],[33470, 33469])).
% 9.38/6.88 tff(33472,plain,
% 9.38/6.88 (m_main_v_state(s228, c_busy) | node1(s227) | m_main_v_state(s228, c_ready)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33471, 4166, 33330])).
% 9.38/6.88 tff(33473,plain,
% 9.38/6.88 (node1(s227)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33472, 33465, 33464])).
% 9.38/6.88 tff(33474,assumption,(m_main_v_state(s227, c_ready)), introduced(assumption)).
% 9.38/6.88 tff(33475,plain,
% 9.38/6.88 (~m_main_v_request(s227)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33334, 33465, 33474])).
% 9.38/6.88 tff(33476,plain,
% 9.38/6.88 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s227) | (~node1(s227)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s227) | (~node1(s227)))),
% 9.38/6.88 inference(rewrite,[status(thm)],[])).
% 9.38/6.88 tff(33477,plain,
% 9.38/6.88 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s227) | (~node1(s227)))),
% 9.38/6.88 inference(quant_inst,[status(thm)],[])).
% 9.38/6.88 tff(33478,plain,
% 9.38/6.88 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s227) | (~node1(s227))),
% 9.38/6.88 inference(modus_ponens,[status(thm)],[33477, 33476])).
% 9.38/6.88 tff(33479,plain,
% 9.38/6.88 ($false),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33478, 14380, 33475, 33473])).
% 9.38/6.88 tff(33480,plain,(m_main_v_state(s228, c_busy) | m_main_v_state(s228, c_ready) | (~m_main_v_state(s227, c_ready))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.88 tff(33481,plain,
% 9.38/6.88 (~m_main_v_state(s227, c_ready)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33480, 33465, 33464])).
% 9.38/6.88 tff(33482,plain,
% 9.38/6.88 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s227, c_ready) | (~node1(s227)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s227, c_ready) | (~node1(s227)))),
% 9.38/6.88 inference(rewrite,[status(thm)],[])).
% 9.38/6.88 tff(33483,plain,
% 9.38/6.88 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s227, c_ready) | (~node1(s227)))),
% 9.38/6.88 inference(quant_inst,[status(thm)],[])).
% 9.38/6.88 tff(33484,plain,
% 9.38/6.88 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s227, c_ready) | (~node1(s227))),
% 9.38/6.88 inference(modus_ponens,[status(thm)],[33483, 33482])).
% 9.38/6.88 tff(33485,plain,
% 9.38/6.88 ($false),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33484, 4151, 33481, 33473])).
% 9.38/6.88 tff(33486,plain,(m_main_v_state(s228, c_busy) | m_main_v_state(s228, c_ready)), inference(lemma,lemma(discharge,[]))).
% 9.38/6.88 tff(33487,plain,
% 9.38/6.88 (m_main_v_state(s228, c_ready)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33486, 33463])).
% 9.38/6.88 tff(33488,assumption,(~m_main_v_state(s229, c_ready)), introduced(assumption)).
% 9.38/6.88 tff(33489,assumption,(~m_main_v_state(s229, c_busy)), introduced(assumption)).
% 9.38/6.88 tff(33490,plain,
% 9.38/6.88 (((~![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))),
% 9.38/6.88 inference(rewrite,[status(thm)],[])).
% 9.38/6.88 tff(33491,plain,
% 9.38/6.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s228, s229)) | node2(s228, s229))),
% 9.38/6.88 inference(quant_inst,[status(thm)],[])).
% 9.38/6.88 tff(33492,plain,
% 9.38/6.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s228, s229)) | node2(s228, s229)),
% 9.38/6.88 inference(modus_ponens,[status(thm)],[33491, 33490])).
% 9.38/6.88 tff(33493,plain,
% 9.38/6.88 (node2(s228, s229)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33492, 7, 6162])).
% 9.38/6.88 tff(33494,plain,
% 9.38/6.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s228, s229)) | m_main_v_state(s229, c_busy) | node1(s228) | m_main_v_state(s229, 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(s228, s229)) | m_main_v_state(s229, c_busy) | node1(s228) | m_main_v_state(s229, c_ready))),
% 9.38/6.88 inference(rewrite,[status(thm)],[])).
% 9.38/6.88 tff(33495,plain,
% 9.38/6.88 ((node1(s228) | m_main_v_state(s229, c_ready) | (~node2(s228, s229)) | m_main_v_state(s229, c_busy)) <=> ((~node2(s228, s229)) | m_main_v_state(s229, c_busy) | node1(s228) | m_main_v_state(s229, c_ready))),
% 9.38/6.88 inference(rewrite,[status(thm)],[])).
% 9.38/6.88 tff(33496,plain,
% 9.38/6.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s228) | m_main_v_state(s229, c_ready) | (~node2(s228, s229)) | m_main_v_state(s229, 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(s228, s229)) | m_main_v_state(s229, c_busy) | node1(s228) | m_main_v_state(s229, c_ready)))),
% 9.38/6.88 inference(monotonicity,[status(thm)],[33495])).
% 9.38/6.88 tff(33497,plain,
% 9.38/6.88 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s228) | m_main_v_state(s229, c_ready) | (~node2(s228, s229)) | m_main_v_state(s229, 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(s228, s229)) | m_main_v_state(s229, c_busy) | node1(s228) | m_main_v_state(s229, c_ready))),
% 9.38/6.88 inference(transitivity,[status(thm)],[33496, 33494])).
% 9.38/6.88 tff(33498,plain,
% 9.38/6.88 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s228) | m_main_v_state(s229, c_ready) | (~node2(s228, s229)) | m_main_v_state(s229, c_busy))),
% 9.38/6.88 inference(quant_inst,[status(thm)],[])).
% 9.38/6.88 tff(33499,plain,
% 9.38/6.88 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s228, s229)) | m_main_v_state(s229, c_busy) | node1(s228) | m_main_v_state(s229, c_ready)),
% 9.38/6.88 inference(modus_ponens,[status(thm)],[33498, 33497])).
% 9.38/6.88 tff(33500,plain,
% 9.38/6.88 (m_main_v_state(s229, c_busy) | node1(s228) | m_main_v_state(s229, c_ready)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33499, 4166, 33493])).
% 9.38/6.88 tff(33501,plain,
% 9.38/6.88 (node1(s228)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33500, 33489, 33488])).
% 9.38/6.88 tff(33502,assumption,(m_main_v_state(s228, c_ready)), introduced(assumption)).
% 9.38/6.88 tff(33503,plain,
% 9.38/6.88 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.38/6.88 inference(rewrite,[status(thm)],[])).
% 9.38/6.88 tff(33504,plain,
% 9.38/6.88 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.38/6.88 inference(quant_inst,[status(thm)],[])).
% 9.38/6.88 tff(33505,plain,
% 9.38/6.88 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 9.38/6.88 inference(modus_ponens,[status(thm)],[33504, 33503])).
% 9.38/6.88 tff(33506,plain,
% 9.38/6.88 ((~m_main_v_state(s228, c_ready)) | m_main_v_state(s229, c_busy) | (~m_main_v_request(s228))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33505, 191, 33493])).
% 9.38/6.88 tff(33507,plain,
% 9.38/6.88 (~m_main_v_request(s228)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33506, 33489, 33502])).
% 9.38/6.88 tff(33508,plain,
% 9.38/6.88 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s228) | (~node1(s228)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s228) | (~node1(s228)))),
% 9.38/6.88 inference(rewrite,[status(thm)],[])).
% 9.38/6.88 tff(33509,plain,
% 9.38/6.88 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s228) | (~node1(s228)))),
% 9.38/6.88 inference(quant_inst,[status(thm)],[])).
% 9.38/6.88 tff(33510,plain,
% 9.38/6.88 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s228) | (~node1(s228))),
% 9.38/6.88 inference(modus_ponens,[status(thm)],[33509, 33508])).
% 9.38/6.88 tff(33511,plain,
% 9.38/6.88 ($false),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33510, 14380, 33507, 33501])).
% 9.38/6.88 tff(33512,plain,(m_main_v_state(s229, c_busy) | m_main_v_state(s229, c_ready) | (~m_main_v_state(s228, c_ready))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.88 tff(33513,plain,
% 9.38/6.88 (m_main_v_state(s229, c_ready)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33512, 33487, 33462])).
% 9.38/6.88 tff(33514,plain,
% 9.38/6.88 (~m_main_v_request(s229)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33362, 33513, 33461])).
% 9.38/6.88 tff(33515,plain,
% 9.38/6.88 (~node4(s229)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33353, 154, 33514])).
% 9.38/6.88 tff(33516,assumption,(node4(s228)), introduced(assumption)).
% 9.38/6.88 tff(33517,plain,
% 9.38/6.88 (((~![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)))),
% 9.38/6.88 inference(rewrite,[status(thm)],[])).
% 9.38/6.88 tff(33518,plain,
% 9.38/6.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s228) | (~node4(s228)))),
% 9.38/6.88 inference(quant_inst,[status(thm)],[])).
% 9.38/6.88 tff(33519,plain,
% 9.38/6.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s228) | (~node4(s228))),
% 9.38/6.88 inference(modus_ponens,[status(thm)],[33518, 33517])).
% 9.38/6.88 tff(33520,plain,
% 9.38/6.88 (m_main_v_request(s228)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33519, 154, 33516])).
% 9.38/6.88 tff(33521,plain,
% 9.38/6.88 (~m_main_v_state(s228, c_ready)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33506, 33520, 33489])).
% 9.38/6.88 tff(33522,plain,
% 9.38/6.88 (always3(s228)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11102, 22, 33516])).
% 9.38/6.88 tff(33523,plain,
% 9.38/6.88 (~m_main_v_state(s228, c_busy)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33325, 170, 33522])).
% 9.38/6.88 tff(33524,plain,
% 9.38/6.88 (((~![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))),
% 9.38/6.88 inference(rewrite,[status(thm)],[])).
% 9.38/6.88 tff(33525,plain,
% 9.38/6.88 ((~![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))),
% 9.38/6.88 inference(quant_inst,[status(thm)],[])).
% 9.38/6.88 tff(33526,plain,
% 9.38/6.88 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s228, c_busy) | m_main_v_state(s228, c_ready)),
% 9.38/6.88 inference(modus_ponens,[status(thm)],[33525, 33524])).
% 9.38/6.88 tff(33527,plain,
% 9.38/6.88 ($false),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33526, 213, 33523, 33521])).
% 9.38/6.88 tff(33528,plain,((~node4(s228)) | m_main_v_state(s229, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.38/6.88 tff(33529,plain,
% 9.38/6.88 (~node4(s228)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33528, 33462])).
% 9.38/6.88 tff(33530,plain,
% 9.38/6.88 (xuntil6(s227)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33342, 32871])).
% 9.38/6.88 tff(33531,plain,
% 9.38/6.88 (until5(s228)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11098, 33530])).
% 9.38/6.88 tff(33532,plain,
% 9.38/6.88 (xuntil6(s228) | node4(s228)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11109, 36, 33531])).
% 9.38/6.88 tff(33533,plain,
% 9.38/6.88 (xuntil6(s228)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33532, 33529])).
% 9.38/6.88 tff(33534,plain,
% 9.38/6.88 (until5(s229)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11115, 33533])).
% 9.38/6.88 tff(33535,plain,
% 9.38/6.88 (xuntil6(s229) | node4(s229)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11126, 36, 33534])).
% 9.38/6.88 tff(33536,plain,
% 9.38/6.88 (xuntil6(s229)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33535, 33515])).
% 9.38/6.88 tff(33537,plain,
% 9.38/6.88 (until5(s230)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11132, 33536])).
% 9.38/6.88 tff(33538,plain,
% 9.38/6.88 (xuntil6(s230)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11143, 36, 33537, 33460])).
% 9.38/6.88 tff(33539,plain,
% 9.38/6.88 (until5(s231)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11149, 33538])).
% 9.38/6.88 tff(33540,plain,
% 9.38/6.88 (xuntil6(s231)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11160, 36, 33539, 33459])).
% 9.38/6.88 tff(33541,plain,
% 9.38/6.88 (until5(s232)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11166, 33540])).
% 9.38/6.88 tff(33542,plain,
% 9.38/6.88 (~node4(s232)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33186, 33384])).
% 9.38/6.88 tff(33543,plain,
% 9.38/6.88 (xuntil6(s232) | (~until5(s232))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11177, 36, 33542])).
% 9.38/6.88 tff(33544,plain,
% 9.38/6.88 ($false),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33543, 33541, 33454])).
% 9.38/6.88 tff(33545,plain,(xuntil6(s239) | (~until5(s227)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.88 tff(33546,plain,
% 9.38/6.88 (xuntil6(s239)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33545, 32639, 5071])).
% 9.38/6.88 tff(33547,plain,
% 9.38/6.88 (until5(s240)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11302, 33546])).
% 9.38/6.88 tff(33548,assumption,(~xuntil6(s241)), introduced(assumption)).
% 9.38/6.88 tff(33549,assumption,(~always3(s241)), introduced(assumption)).
% 9.38/6.88 tff(33550,plain,
% 9.38/6.88 (~always3(s240)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6022, 33549])).
% 9.38/6.88 tff(33551,plain,
% 9.38/6.88 (~node4(s240)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11306, 22, 33550])).
% 9.38/6.88 tff(33552,plain,
% 9.38/6.88 (~node4(s241)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11323, 22, 33549])).
% 9.38/6.88 tff(33553,plain,
% 9.38/6.88 (node4(s241) | (~until5(s241))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11330, 36, 33548])).
% 9.38/6.88 tff(33554,plain,
% 9.38/6.88 (~until5(s241)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33553, 33552])).
% 9.38/6.88 tff(33555,plain,
% 9.38/6.88 (~xuntil6(s240)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11319, 33554])).
% 9.38/6.88 tff(33556,plain,
% 9.38/6.88 (~until5(s240)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11313, 36, 33555, 33551])).
% 9.38/6.88 tff(33557,plain,
% 9.38/6.88 (~xuntil6(s239)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11302, 33556])).
% 9.38/6.88 tff(33558,plain,
% 9.38/6.88 (~always3(s239)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6034, 33550])).
% 9.38/6.88 tff(33559,plain,
% 9.38/6.88 (~node4(s239)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11289, 22, 33558])).
% 9.38/6.88 tff(33560,plain,
% 9.38/6.88 (xuntil6(s239) | (~until5(s239))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11296, 36, 33559])).
% 9.38/6.88 tff(33561,plain,
% 9.38/6.88 (~until5(s239)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33560, 33557])).
% 9.38/6.88 tff(33562,plain,
% 9.38/6.88 (~xuntil6(s238)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11285, 33561])).
% 9.38/6.88 tff(33563,plain,
% 9.38/6.88 (~always3(s238)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6046, 33558])).
% 9.38/6.88 tff(33564,plain,
% 9.38/6.88 (~node4(s238)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11272, 22, 33563])).
% 9.38/6.88 tff(33565,plain,
% 9.38/6.88 (xuntil6(s238) | (~until5(s238))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11279, 36, 33564])).
% 9.38/6.88 tff(33566,plain,
% 9.38/6.88 (~until5(s238)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33565, 33562])).
% 9.38/6.88 tff(33567,plain,
% 9.38/6.88 (~xuntil6(s237)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11268, 33566])).
% 9.38/6.88 tff(33568,plain,
% 9.38/6.88 (~always3(s237)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6058, 33563])).
% 9.38/6.88 tff(33569,plain,
% 9.38/6.88 (~node4(s237)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11255, 22, 33568])).
% 9.38/6.88 tff(33570,plain,
% 9.38/6.88 (xuntil6(s237) | (~until5(s237))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11262, 36, 33569])).
% 9.38/6.88 tff(33571,plain,
% 9.38/6.88 (~until5(s237)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33570, 33567])).
% 9.38/6.88 tff(33572,plain,
% 9.38/6.88 (~xuntil6(s236)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11251, 33571])).
% 9.38/6.88 tff(33573,plain,
% 9.38/6.88 (~always3(s236)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6070, 33568])).
% 9.38/6.88 tff(33574,plain,
% 9.38/6.88 (~node4(s236)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11238, 22, 33573])).
% 9.38/6.88 tff(33575,plain,
% 9.38/6.88 (xuntil6(s236) | (~until5(s236))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11245, 36, 33574])).
% 9.38/6.88 tff(33576,plain,
% 9.38/6.88 (~until5(s236)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33575, 33572])).
% 9.38/6.88 tff(33577,plain,
% 9.38/6.88 (~xuntil6(s235)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11234, 33576])).
% 9.38/6.88 tff(33578,plain,
% 9.38/6.88 (~always3(s235)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6082, 33573])).
% 9.38/6.88 tff(33579,plain,
% 9.38/6.88 (~node4(s235)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11221, 22, 33578])).
% 9.38/6.88 tff(33580,plain,
% 9.38/6.88 (xuntil6(s235) | (~until5(s235))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11228, 36, 33579])).
% 9.38/6.88 tff(33581,plain,
% 9.38/6.88 (~until5(s235)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33580, 33577])).
% 9.38/6.88 tff(33582,plain,
% 9.38/6.88 (~xuntil6(s234)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11217, 33581])).
% 9.38/6.88 tff(33583,plain,
% 9.38/6.88 (~always3(s234)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6094, 33578])).
% 9.38/6.88 tff(33584,plain,
% 9.38/6.88 (~node4(s234)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11204, 22, 33583])).
% 9.38/6.88 tff(33585,plain,
% 9.38/6.88 (xuntil6(s234) | (~until5(s234))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11211, 36, 33584])).
% 9.38/6.88 tff(33586,plain,
% 9.38/6.88 (~until5(s234)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33585, 33582])).
% 9.38/6.88 tff(33587,plain,
% 9.38/6.88 (~xuntil6(s233)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11200, 33586])).
% 9.38/6.88 tff(33588,plain,
% 9.38/6.88 (~always3(s233)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6106, 33583])).
% 9.38/6.88 tff(33589,plain,
% 9.38/6.88 (~node4(s233)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11187, 22, 33588])).
% 9.38/6.88 tff(33590,plain,
% 9.38/6.88 (xuntil6(s233) | (~until5(s233))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11194, 36, 33589])).
% 9.38/6.88 tff(33591,plain,
% 9.38/6.88 (~until5(s233)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33590, 33587])).
% 9.38/6.88 tff(33592,plain,
% 9.38/6.88 (~xuntil6(s232)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11183, 33591])).
% 9.38/6.88 tff(33593,plain,
% 9.38/6.88 (~always3(s232)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6118, 33588])).
% 9.38/6.88 tff(33594,plain,
% 9.38/6.88 (~node4(s232)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11170, 22, 33593])).
% 9.38/6.88 tff(33595,plain,
% 9.38/6.88 (xuntil6(s232) | (~until5(s232))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11177, 36, 33594])).
% 9.38/6.88 tff(33596,plain,
% 9.38/6.88 (~until5(s232)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33595, 33592])).
% 9.38/6.88 tff(33597,plain,
% 9.38/6.88 (~xuntil6(s231)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11166, 33596])).
% 9.38/6.88 tff(33598,plain,
% 9.38/6.88 (~always3(s231)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6130, 33593])).
% 9.38/6.88 tff(33599,plain,
% 9.38/6.88 (~node4(s231)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11153, 22, 33598])).
% 9.38/6.88 tff(33600,plain,
% 9.38/6.88 (xuntil6(s231) | (~until5(s231))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11160, 36, 33599])).
% 9.38/6.88 tff(33601,plain,
% 9.38/6.88 (~until5(s231)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33600, 33597])).
% 9.38/6.88 tff(33602,plain,
% 9.38/6.88 (~xuntil6(s230)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11149, 33601])).
% 9.38/6.88 tff(33603,plain,
% 9.38/6.88 (~always3(s230)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6142, 33598])).
% 9.38/6.88 tff(33604,plain,
% 9.38/6.88 (~node4(s230)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11136, 22, 33603])).
% 9.38/6.88 tff(33605,plain,
% 9.38/6.88 (xuntil6(s230) | (~until5(s230))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11143, 36, 33604])).
% 9.38/6.88 tff(33606,plain,
% 9.38/6.88 (~until5(s230)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33605, 33602])).
% 9.38/6.88 tff(33607,plain,
% 9.38/6.88 (~xuntil6(s229)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11132, 33606])).
% 9.38/6.88 tff(33608,plain,
% 9.38/6.88 (~always3(s229)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6154, 33603])).
% 9.38/6.88 tff(33609,plain,
% 9.38/6.88 (~node4(s229)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11119, 22, 33608])).
% 9.38/6.88 tff(33610,plain,
% 9.38/6.88 (xuntil6(s229) | (~until5(s229))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11126, 36, 33609])).
% 9.38/6.88 tff(33611,plain,
% 9.38/6.88 (~until5(s229)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33610, 33607])).
% 9.38/6.88 tff(33612,plain,
% 9.38/6.88 (~always3(s228)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6166, 33608])).
% 9.38/6.88 tff(33613,plain,
% 9.38/6.88 (~always3(s227)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6178, 33612])).
% 9.38/6.88 tff(33614,plain,
% 9.38/6.88 (~always3(s226)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6190, 33613])).
% 9.38/6.88 tff(33615,plain,
% 9.38/6.88 (~always3(s225)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6202, 33614])).
% 9.38/6.88 tff(33616,plain,
% 9.38/6.88 (~always3(s224)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6214, 33615])).
% 9.38/6.88 tff(33617,plain,
% 9.38/6.88 (~always3(s223)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6226, 33616])).
% 9.38/6.88 tff(33618,plain,
% 9.38/6.88 (~always3(s222)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6238, 33617])).
% 9.38/6.88 tff(33619,plain,
% 9.38/6.88 (~always3(s221)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6250, 33618])).
% 9.38/6.88 tff(33620,plain,
% 9.38/6.88 (~always3(s220)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6262, 33619])).
% 9.38/6.88 tff(33621,plain,
% 9.38/6.88 (~always3(s219)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6274, 33620])).
% 9.38/6.88 tff(33622,plain,
% 9.38/6.88 (~always3(s218)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6286, 33621])).
% 9.38/6.88 tff(33623,plain,
% 9.38/6.88 (~always3(s217)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6298, 33622])).
% 9.38/6.88 tff(33624,plain,
% 9.38/6.88 (~node4(s217)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6302, 22, 33623])).
% 9.38/6.88 tff(33625,plain,
% 9.38/6.88 (~always3(s216)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6314, 33623])).
% 9.38/6.88 tff(33626,plain,
% 9.38/6.88 (~node4(s216)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6318, 22, 33625])).
% 9.38/6.88 tff(33627,plain,
% 9.38/6.88 (~always3(s215)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[6331, 33625])).
% 9.38/6.88 tff(33628,plain,
% 9.38/6.88 (xuntil6(s215)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[10898, 33627, 6320])).
% 9.38/6.88 tff(33629,plain,
% 9.38/6.88 (until5(s216)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[10903, 33628])).
% 9.38/6.88 tff(33630,plain,
% 9.38/6.88 (xuntil6(s216) | node4(s216)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[10910, 36, 33629])).
% 9.38/6.88 tff(33631,plain,
% 9.38/6.88 (xuntil6(s216)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33630, 33626])).
% 9.38/6.88 tff(33632,plain,
% 9.38/6.88 (until5(s217)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[10916, 33631])).
% 9.38/6.88 tff(33633,plain,
% 9.38/6.88 (xuntil6(s217)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[10923, 36, 33632, 33624])).
% 9.38/6.88 tff(33634,plain,
% 9.38/6.88 (until5(s218)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[10928, 33633])).
% 9.38/6.88 tff(33635,plain,
% 9.38/6.88 (~node4(s218)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[10932, 22, 33622])).
% 9.38/6.88 tff(33636,plain,
% 9.38/6.88 (xuntil6(s218) | (~until5(s218))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[10939, 36, 33635])).
% 9.38/6.88 tff(33637,plain,
% 9.38/6.88 (xuntil6(s218)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33636, 33634])).
% 9.38/6.88 tff(33638,plain,
% 9.38/6.88 (until5(s219)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[10945, 33637])).
% 9.38/6.88 tff(33639,plain,
% 9.38/6.88 (~node4(s219)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[10949, 22, 33621])).
% 9.38/6.88 tff(33640,plain,
% 9.38/6.88 (xuntil6(s219) | (~until5(s219))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[10956, 36, 33639])).
% 9.38/6.88 tff(33641,plain,
% 9.38/6.88 (xuntil6(s219)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33640, 33638])).
% 9.38/6.88 tff(33642,plain,
% 9.38/6.88 (until5(s220)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[10962, 33641])).
% 9.38/6.88 tff(33643,plain,
% 9.38/6.88 (~node4(s220)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[10966, 22, 33620])).
% 9.38/6.88 tff(33644,plain,
% 9.38/6.88 (xuntil6(s220) | (~until5(s220))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[10973, 36, 33643])).
% 9.38/6.88 tff(33645,plain,
% 9.38/6.88 (xuntil6(s220)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33644, 33642])).
% 9.38/6.88 tff(33646,plain,
% 9.38/6.88 (until5(s221)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[10979, 33645])).
% 9.38/6.88 tff(33647,plain,
% 9.38/6.88 (~node4(s221)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[10983, 22, 33619])).
% 9.38/6.88 tff(33648,plain,
% 9.38/6.88 (xuntil6(s221) | (~until5(s221))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[10990, 36, 33647])).
% 9.38/6.88 tff(33649,plain,
% 9.38/6.88 (xuntil6(s221)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33648, 33646])).
% 9.38/6.88 tff(33650,plain,
% 9.38/6.88 (until5(s222)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[10996, 33649])).
% 9.38/6.88 tff(33651,plain,
% 9.38/6.88 (~node4(s222)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11000, 22, 33618])).
% 9.38/6.88 tff(33652,plain,
% 9.38/6.88 (xuntil6(s222) | (~until5(s222))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11007, 36, 33651])).
% 9.38/6.88 tff(33653,plain,
% 9.38/6.88 (xuntil6(s222)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33652, 33650])).
% 9.38/6.88 tff(33654,plain,
% 9.38/6.88 (until5(s223)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11013, 33653])).
% 9.38/6.88 tff(33655,plain,
% 9.38/6.88 (~node4(s223)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11017, 22, 33617])).
% 9.38/6.88 tff(33656,plain,
% 9.38/6.88 (xuntil6(s223) | (~until5(s223))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11024, 36, 33655])).
% 9.38/6.88 tff(33657,plain,
% 9.38/6.88 (xuntil6(s223)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33656, 33654])).
% 9.38/6.88 tff(33658,plain,
% 9.38/6.88 (until5(s224)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11030, 33657])).
% 9.38/6.88 tff(33659,plain,
% 9.38/6.88 (~node4(s224)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11034, 22, 33616])).
% 9.38/6.88 tff(33660,plain,
% 9.38/6.88 (xuntil6(s224) | (~until5(s224))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11041, 36, 33659])).
% 9.38/6.88 tff(33661,plain,
% 9.38/6.88 (xuntil6(s224)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33660, 33658])).
% 9.38/6.88 tff(33662,plain,
% 9.38/6.88 (until5(s225)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11047, 33661])).
% 9.38/6.88 tff(33663,plain,
% 9.38/6.88 (~node4(s225)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11051, 22, 33615])).
% 9.38/6.88 tff(33664,plain,
% 9.38/6.88 (xuntil6(s225) | (~until5(s225))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11058, 36, 33663])).
% 9.38/6.88 tff(33665,plain,
% 9.38/6.88 (xuntil6(s225)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33664, 33662])).
% 9.38/6.88 tff(33666,plain,
% 9.38/6.88 (until5(s226)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11064, 33665])).
% 9.38/6.88 tff(33667,plain,
% 9.38/6.88 (~node4(s226)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11068, 22, 33614])).
% 9.38/6.88 tff(33668,plain,
% 9.38/6.88 (xuntil6(s226) | (~until5(s226))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11075, 36, 33667])).
% 9.38/6.88 tff(33669,plain,
% 9.38/6.88 (xuntil6(s226)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33668, 33666])).
% 9.38/6.88 tff(33670,plain,
% 9.38/6.88 (until5(s227)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11081, 33669])).
% 9.38/6.88 tff(33671,plain,
% 9.38/6.88 (~node4(s227)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11085, 22, 33613])).
% 9.38/6.88 tff(33672,plain,
% 9.38/6.88 (xuntil6(s227) | (~until5(s227))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11092, 36, 33671])).
% 9.38/6.88 tff(33673,plain,
% 9.38/6.88 (xuntil6(s227)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33672, 33670])).
% 9.38/6.88 tff(33674,plain,
% 9.38/6.88 (until5(s228)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11098, 33673])).
% 9.38/6.88 tff(33675,plain,
% 9.38/6.88 (~node4(s228)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11102, 22, 33612])).
% 9.38/6.88 tff(33676,plain,
% 9.38/6.88 (xuntil6(s228) | (~until5(s228))),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11109, 36, 33675])).
% 9.38/6.88 tff(33677,plain,
% 9.38/6.88 (xuntil6(s228)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33676, 33674])).
% 9.38/6.88 tff(33678,plain,
% 9.38/6.88 ($false),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[11115, 33677, 33611])).
% 9.38/6.88 tff(33679,plain,(always3(s241) | xuntil6(s241) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.88 tff(33680,plain,
% 9.38/6.88 (always3(s241)),
% 9.38/6.88 inference(unit_resolution,[status(thm)],[33679, 33548, 6320])).
% 9.38/6.89 tff(33681,plain,
% 9.38/6.89 (always3(s242)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6010, 33680])).
% 9.38/6.89 tff(33682,plain,
% 9.38/6.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s242)) | (~m_main_v_state(s242, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s242)) | (~m_main_v_state(s242, c_busy)))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33683,plain,
% 9.38/6.89 (((~m_main_v_state(s242, c_busy)) | (~always3(s242))) <=> ((~always3(s242)) | (~m_main_v_state(s242, c_busy)))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33684,plain,
% 9.38/6.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s242, c_busy)) | (~always3(s242)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s242)) | (~m_main_v_state(s242, c_busy))))),
% 9.38/6.89 inference(monotonicity,[status(thm)],[33683])).
% 9.38/6.89 tff(33685,plain,
% 9.38/6.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s242, c_busy)) | (~always3(s242)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s242)) | (~m_main_v_state(s242, c_busy)))),
% 9.38/6.89 inference(transitivity,[status(thm)],[33684, 33682])).
% 9.38/6.89 tff(33686,plain,
% 9.38/6.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s242, c_busy)) | (~always3(s242)))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(33687,plain,
% 9.38/6.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s242)) | (~m_main_v_state(s242, c_busy))),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[33686, 33685])).
% 9.38/6.89 tff(33688,plain,
% 9.38/6.89 (~m_main_v_state(s242, c_busy)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33687, 170, 33681])).
% 9.38/6.89 tff(33689,plain,
% 9.38/6.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s241)) | (~m_main_v_state(s241, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s241)) | (~m_main_v_state(s241, c_busy)))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33690,plain,
% 9.38/6.89 (((~m_main_v_state(s241, c_busy)) | (~always3(s241))) <=> ((~always3(s241)) | (~m_main_v_state(s241, c_busy)))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33691,plain,
% 9.38/6.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s241, c_busy)) | (~always3(s241)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s241)) | (~m_main_v_state(s241, c_busy))))),
% 9.38/6.89 inference(monotonicity,[status(thm)],[33690])).
% 9.38/6.89 tff(33692,plain,
% 9.38/6.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s241, c_busy)) | (~always3(s241)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s241)) | (~m_main_v_state(s241, c_busy)))),
% 9.38/6.89 inference(transitivity,[status(thm)],[33691, 33689])).
% 9.38/6.89 tff(33693,plain,
% 9.38/6.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s241, c_busy)) | (~always3(s241)))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(33694,plain,
% 9.38/6.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s241)) | (~m_main_v_state(s241, c_busy))),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[33693, 33692])).
% 9.38/6.89 tff(33695,plain,
% 9.38/6.89 (~m_main_v_state(s241, c_busy)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33694, 170, 33680])).
% 9.38/6.89 tff(33696,plain,
% 9.38/6.89 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s241, c_busy) | m_main_v_state(s241, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s241, c_busy) | m_main_v_state(s241, c_ready))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33697,plain,
% 9.38/6.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s241, c_busy) | m_main_v_state(s241, c_ready))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(33698,plain,
% 9.38/6.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s241, c_busy) | m_main_v_state(s241, c_ready)),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[33697, 33696])).
% 9.38/6.89 tff(33699,plain,
% 9.38/6.89 (m_main_v_state(s241, c_ready)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33698, 213, 33695])).
% 9.38/6.89 tff(33700,assumption,(~m_main_v_state(s241, c_busy)), introduced(assumption)).
% 9.38/6.89 tff(33701,assumption,(node4(s240)), introduced(assumption)).
% 9.38/6.89 tff(33702,plain,
% 9.38/6.89 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s240) | (~node4(s240)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s240) | (~node4(s240)))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33703,plain,
% 9.38/6.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s240) | (~node4(s240)))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(33704,plain,
% 9.38/6.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s240) | (~node4(s240))),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[33703, 33702])).
% 9.38/6.89 tff(33705,plain,
% 9.38/6.89 (m_main_v_request(s240)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33704, 154, 33701])).
% 9.38/6.89 tff(33706,plain,
% 9.38/6.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s240, s241)) | node2(s240, s241))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s240, s241)) | node2(s240, s241))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33707,plain,
% 9.38/6.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s240, s241)) | node2(s240, s241))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(33708,plain,
% 9.38/6.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s240, s241)) | node2(s240, s241)),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[33707, 33706])).
% 9.38/6.89 tff(33709,plain,
% 9.38/6.89 (node2(s240, s241)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33708, 7, 6018])).
% 9.38/6.89 tff(33710,plain,
% 9.38/6.89 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s240, c_ready)) | (~node2(s240, s241)) | m_main_v_state(s241, c_busy) | (~m_main_v_request(s240)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s240, c_ready)) | (~node2(s240, s241)) | m_main_v_state(s241, c_busy) | (~m_main_v_request(s240)))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33711,plain,
% 9.38/6.89 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s240, c_ready)) | (~node2(s240, s241)) | m_main_v_state(s241, c_busy) | (~m_main_v_request(s240)))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(33712,plain,
% 9.38/6.89 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s240, c_ready)) | (~node2(s240, s241)) | m_main_v_state(s241, c_busy) | (~m_main_v_request(s240))),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[33711, 33710])).
% 9.38/6.89 tff(33713,plain,
% 9.38/6.89 ((~m_main_v_state(s240, c_ready)) | m_main_v_state(s241, c_busy) | (~m_main_v_request(s240))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33712, 191, 33709])).
% 9.38/6.89 tff(33714,plain,
% 9.38/6.89 (~m_main_v_state(s240, c_ready)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33713, 33705, 33700])).
% 9.38/6.89 tff(33715,plain,
% 9.38/6.89 (always3(s240)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11306, 22, 33701])).
% 9.38/6.89 tff(33716,plain,
% 9.38/6.89 (~m_main_v_state(s240, c_busy)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[32776, 170, 33715])).
% 9.38/6.89 tff(33717,plain,
% 9.38/6.89 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s240, c_busy) | m_main_v_state(s240, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s240, c_busy) | m_main_v_state(s240, c_ready))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33718,plain,
% 9.38/6.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s240, c_busy) | m_main_v_state(s240, c_ready))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(33719,plain,
% 9.38/6.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s240, c_busy) | m_main_v_state(s240, c_ready)),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[33718, 33717])).
% 9.38/6.89 tff(33720,plain,
% 9.38/6.89 ($false),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33719, 213, 33716, 33714])).
% 9.38/6.89 tff(33721,plain,((~node4(s240)) | m_main_v_state(s241, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.38/6.89 tff(33722,plain,
% 9.38/6.89 (~node4(s240)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33721, 33695])).
% 9.38/6.89 tff(33723,assumption,(until5(s240)), introduced(assumption)).
% 9.38/6.89 tff(33724,plain,
% 9.38/6.89 (xuntil6(s240) | node4(s240)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11313, 36, 33723])).
% 9.38/6.89 tff(33725,plain,
% 9.38/6.89 (xuntil6(s240)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33724, 33722])).
% 9.38/6.89 tff(33726,plain,
% 9.38/6.89 (until5(s241)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11319, 33725])).
% 9.38/6.89 tff(33727,plain,
% 9.38/6.89 (node4(s241)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33553, 33726])).
% 9.38/6.89 tff(33728,plain,
% 9.38/6.89 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s241) | (~node4(s241)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s241) | (~node4(s241)))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33729,plain,
% 9.38/6.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s241) | (~node4(s241)))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(33730,plain,
% 9.38/6.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s241) | (~node4(s241))),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[33729, 33728])).
% 9.38/6.89 tff(33731,plain,
% 9.38/6.89 (m_main_v_request(s241)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33730, 154, 33727])).
% 9.38/6.89 tff(33732,plain,
% 9.38/6.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s241, s242)) | node2(s241, s242))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s241, s242)) | node2(s241, s242))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33733,plain,
% 9.38/6.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s241, s242)) | node2(s241, s242))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(33734,plain,
% 9.38/6.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s241, s242)) | node2(s241, s242)),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[33733, 33732])).
% 9.38/6.89 tff(33735,plain,
% 9.38/6.89 (node2(s241, s242)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33734, 7, 6006])).
% 9.38/6.89 tff(33736,plain,
% 9.38/6.89 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s241, c_ready)) | (~node2(s241, s242)) | m_main_v_state(s242, c_busy) | (~m_main_v_request(s241)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s241, c_ready)) | (~node2(s241, s242)) | m_main_v_state(s242, c_busy) | (~m_main_v_request(s241)))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33737,plain,
% 9.38/6.89 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s241, c_ready)) | (~node2(s241, s242)) | m_main_v_state(s242, c_busy) | (~m_main_v_request(s241)))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(33738,plain,
% 9.38/6.89 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s241, c_ready)) | (~node2(s241, s242)) | m_main_v_state(s242, c_busy) | (~m_main_v_request(s241))),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[33737, 33736])).
% 9.38/6.89 tff(33739,plain,
% 9.38/6.89 ((~m_main_v_state(s241, c_ready)) | m_main_v_state(s242, c_busy) | (~m_main_v_request(s241))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33738, 191, 33735])).
% 9.38/6.89 tff(33740,plain,
% 9.38/6.89 ($false),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33739, 33731, 33699, 33688])).
% 9.38/6.89 tff(33741,plain,(xuntil6(s241) | (~until5(s240)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.89 tff(33742,plain,
% 9.38/6.89 (xuntil6(s241)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33741, 33547, 5071])).
% 9.38/6.89 tff(33743,plain,
% 9.38/6.89 (until5(s242)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11336, 33742])).
% 9.38/6.89 tff(33744,assumption,(~xuntil6(s244)), introduced(assumption)).
% 9.38/6.89 tff(33745,assumption,(~always3(s244)), introduced(assumption)).
% 9.38/6.89 tff(33746,plain,
% 9.38/6.89 (~always3(s243)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[5986, 33745])).
% 9.38/6.89 tff(33747,plain,
% 9.38/6.89 (~node4(s243)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11357, 22, 33746])).
% 9.38/6.89 tff(33748,plain,
% 9.38/6.89 (~node4(s244)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11374, 22, 33745])).
% 9.38/6.89 tff(33749,plain,
% 9.38/6.89 (node4(s244) | (~until5(s244))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11381, 36, 33744])).
% 9.38/6.89 tff(33750,plain,
% 9.38/6.89 (~until5(s244)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33749, 33748])).
% 9.38/6.89 tff(33751,plain,
% 9.38/6.89 (~xuntil6(s243)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11370, 33750])).
% 9.38/6.89 tff(33752,plain,
% 9.38/6.89 (~until5(s243)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11364, 36, 33751, 33747])).
% 9.38/6.89 tff(33753,plain,
% 9.38/6.89 (~xuntil6(s242)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11353, 33752])).
% 9.38/6.89 tff(33754,plain,
% 9.38/6.89 (~always3(s242)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[5998, 33746])).
% 9.38/6.89 tff(33755,plain,
% 9.38/6.89 (~node4(s242)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11340, 22, 33754])).
% 9.38/6.89 tff(33756,plain,
% 9.38/6.89 (xuntil6(s242) | (~until5(s242))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11347, 36, 33755])).
% 9.38/6.89 tff(33757,plain,
% 9.38/6.89 (~until5(s242)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33756, 33753])).
% 9.38/6.89 tff(33758,plain,
% 9.38/6.89 (~xuntil6(s241)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11336, 33757])).
% 9.38/6.89 tff(33759,plain,
% 9.38/6.89 (~always3(s241)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6010, 33754])).
% 9.38/6.89 tff(33760,plain,
% 9.38/6.89 (~node4(s241)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11323, 22, 33759])).
% 9.38/6.89 tff(33761,plain,
% 9.38/6.89 (xuntil6(s241) | (~until5(s241))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11330, 36, 33760])).
% 9.38/6.89 tff(33762,plain,
% 9.38/6.89 (~until5(s241)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33761, 33758])).
% 9.38/6.89 tff(33763,plain,
% 9.38/6.89 (~xuntil6(s240)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11319, 33762])).
% 9.38/6.89 tff(33764,plain,
% 9.38/6.89 (~always3(s240)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6022, 33759])).
% 9.38/6.89 tff(33765,plain,
% 9.38/6.89 (~node4(s240)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11306, 22, 33764])).
% 9.38/6.89 tff(33766,plain,
% 9.38/6.89 (xuntil6(s240) | (~until5(s240))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11313, 36, 33765])).
% 9.38/6.89 tff(33767,plain,
% 9.38/6.89 (~until5(s240)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33766, 33763])).
% 9.38/6.89 tff(33768,plain,
% 9.38/6.89 (~xuntil6(s239)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11302, 33767])).
% 9.38/6.89 tff(33769,plain,
% 9.38/6.89 (~always3(s239)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6034, 33764])).
% 9.38/6.89 tff(33770,plain,
% 9.38/6.89 (~node4(s239)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11289, 22, 33769])).
% 9.38/6.89 tff(33771,plain,
% 9.38/6.89 (xuntil6(s239) | (~until5(s239))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11296, 36, 33770])).
% 9.38/6.89 tff(33772,plain,
% 9.38/6.89 (~until5(s239)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33771, 33768])).
% 9.38/6.89 tff(33773,plain,
% 9.38/6.89 (~xuntil6(s238)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11285, 33772])).
% 9.38/6.89 tff(33774,plain,
% 9.38/6.89 (~always3(s238)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6046, 33769])).
% 9.38/6.89 tff(33775,plain,
% 9.38/6.89 (~node4(s238)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11272, 22, 33774])).
% 9.38/6.89 tff(33776,plain,
% 9.38/6.89 (xuntil6(s238) | (~until5(s238))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11279, 36, 33775])).
% 9.38/6.89 tff(33777,plain,
% 9.38/6.89 (~until5(s238)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33776, 33773])).
% 9.38/6.89 tff(33778,plain,
% 9.38/6.89 (~xuntil6(s237)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11268, 33777])).
% 9.38/6.89 tff(33779,plain,
% 9.38/6.89 (~always3(s237)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6058, 33774])).
% 9.38/6.89 tff(33780,plain,
% 9.38/6.89 (~node4(s237)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11255, 22, 33779])).
% 9.38/6.89 tff(33781,plain,
% 9.38/6.89 (xuntil6(s237) | (~until5(s237))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11262, 36, 33780])).
% 9.38/6.89 tff(33782,plain,
% 9.38/6.89 (~until5(s237)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33781, 33778])).
% 9.38/6.89 tff(33783,plain,
% 9.38/6.89 (~xuntil6(s236)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11251, 33782])).
% 9.38/6.89 tff(33784,plain,
% 9.38/6.89 (~always3(s236)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6070, 33779])).
% 9.38/6.89 tff(33785,plain,
% 9.38/6.89 (~node4(s236)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11238, 22, 33784])).
% 9.38/6.89 tff(33786,plain,
% 9.38/6.89 (xuntil6(s236) | (~until5(s236))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11245, 36, 33785])).
% 9.38/6.89 tff(33787,plain,
% 9.38/6.89 (~until5(s236)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33786, 33783])).
% 9.38/6.89 tff(33788,plain,
% 9.38/6.89 (~xuntil6(s235)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11234, 33787])).
% 9.38/6.89 tff(33789,plain,
% 9.38/6.89 (~always3(s235)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6082, 33784])).
% 9.38/6.89 tff(33790,plain,
% 9.38/6.89 (~node4(s235)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11221, 22, 33789])).
% 9.38/6.89 tff(33791,plain,
% 9.38/6.89 (xuntil6(s235) | (~until5(s235))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11228, 36, 33790])).
% 9.38/6.89 tff(33792,plain,
% 9.38/6.89 (~until5(s235)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33791, 33788])).
% 9.38/6.89 tff(33793,plain,
% 9.38/6.89 (~xuntil6(s234)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11217, 33792])).
% 9.38/6.89 tff(33794,plain,
% 9.38/6.89 (~always3(s234)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6094, 33789])).
% 9.38/6.89 tff(33795,plain,
% 9.38/6.89 (~node4(s234)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11204, 22, 33794])).
% 9.38/6.89 tff(33796,plain,
% 9.38/6.89 (xuntil6(s234) | (~until5(s234))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11211, 36, 33795])).
% 9.38/6.89 tff(33797,plain,
% 9.38/6.89 (~until5(s234)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33796, 33793])).
% 9.38/6.89 tff(33798,plain,
% 9.38/6.89 (~xuntil6(s233)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11200, 33797])).
% 9.38/6.89 tff(33799,plain,
% 9.38/6.89 (~always3(s233)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6106, 33794])).
% 9.38/6.89 tff(33800,plain,
% 9.38/6.89 (~node4(s233)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11187, 22, 33799])).
% 9.38/6.89 tff(33801,plain,
% 9.38/6.89 (xuntil6(s233) | (~until5(s233))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11194, 36, 33800])).
% 9.38/6.89 tff(33802,plain,
% 9.38/6.89 (~until5(s233)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33801, 33798])).
% 9.38/6.89 tff(33803,plain,
% 9.38/6.89 (~xuntil6(s232)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11183, 33802])).
% 9.38/6.89 tff(33804,plain,
% 9.38/6.89 (~always3(s232)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6118, 33799])).
% 9.38/6.89 tff(33805,plain,
% 9.38/6.89 (~node4(s232)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11170, 22, 33804])).
% 9.38/6.89 tff(33806,plain,
% 9.38/6.89 (xuntil6(s232) | (~until5(s232))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11177, 36, 33805])).
% 9.38/6.89 tff(33807,plain,
% 9.38/6.89 (~until5(s232)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33806, 33803])).
% 9.38/6.89 tff(33808,plain,
% 9.38/6.89 (~xuntil6(s231)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11166, 33807])).
% 9.38/6.89 tff(33809,plain,
% 9.38/6.89 (~always3(s231)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6130, 33804])).
% 9.38/6.89 tff(33810,plain,
% 9.38/6.89 (~node4(s231)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11153, 22, 33809])).
% 9.38/6.89 tff(33811,plain,
% 9.38/6.89 (xuntil6(s231) | (~until5(s231))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11160, 36, 33810])).
% 9.38/6.89 tff(33812,plain,
% 9.38/6.89 (~until5(s231)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33811, 33808])).
% 9.38/6.89 tff(33813,plain,
% 9.38/6.89 (~xuntil6(s230)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11149, 33812])).
% 9.38/6.89 tff(33814,plain,
% 9.38/6.89 (~always3(s230)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6142, 33809])).
% 9.38/6.89 tff(33815,plain,
% 9.38/6.89 (~always3(s229)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6154, 33814])).
% 9.38/6.89 tff(33816,plain,
% 9.38/6.89 (~always3(s228)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6166, 33815])).
% 9.38/6.89 tff(33817,plain,
% 9.38/6.89 (~always3(s227)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6178, 33816])).
% 9.38/6.89 tff(33818,plain,
% 9.38/6.89 (~always3(s226)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6190, 33817])).
% 9.38/6.89 tff(33819,plain,
% 9.38/6.89 (~always3(s225)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6202, 33818])).
% 9.38/6.89 tff(33820,plain,
% 9.38/6.89 (~always3(s224)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6214, 33819])).
% 9.38/6.89 tff(33821,plain,
% 9.38/6.89 (~always3(s223)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6226, 33820])).
% 9.38/6.89 tff(33822,plain,
% 9.38/6.89 (~always3(s222)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6238, 33821])).
% 9.38/6.89 tff(33823,plain,
% 9.38/6.89 (~always3(s221)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6250, 33822])).
% 9.38/6.89 tff(33824,plain,
% 9.38/6.89 (~always3(s220)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6262, 33823])).
% 9.38/6.89 tff(33825,plain,
% 9.38/6.89 (~always3(s219)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6274, 33824])).
% 9.38/6.89 tff(33826,plain,
% 9.38/6.89 (~always3(s218)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6286, 33825])).
% 9.38/6.89 tff(33827,plain,
% 9.38/6.89 (~always3(s217)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6298, 33826])).
% 9.38/6.89 tff(33828,plain,
% 9.38/6.89 (~node4(s217)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6302, 22, 33827])).
% 9.38/6.89 tff(33829,plain,
% 9.38/6.89 (~always3(s216)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6314, 33827])).
% 9.38/6.89 tff(33830,plain,
% 9.38/6.89 (~node4(s216)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6318, 22, 33829])).
% 9.38/6.89 tff(33831,plain,
% 9.38/6.89 (~always3(s215)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[6331, 33829])).
% 9.38/6.89 tff(33832,plain,
% 9.38/6.89 (xuntil6(s215)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[10898, 33831, 6320])).
% 9.38/6.89 tff(33833,plain,
% 9.38/6.89 (until5(s216)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[10903, 33832])).
% 9.38/6.89 tff(33834,plain,
% 9.38/6.89 (xuntil6(s216) | node4(s216)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[10910, 36, 33833])).
% 9.38/6.89 tff(33835,plain,
% 9.38/6.89 (xuntil6(s216)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33834, 33830])).
% 9.38/6.89 tff(33836,plain,
% 9.38/6.89 (until5(s217)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[10916, 33835])).
% 9.38/6.89 tff(33837,plain,
% 9.38/6.89 (xuntil6(s217)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[10923, 36, 33836, 33828])).
% 9.38/6.89 tff(33838,plain,
% 9.38/6.89 (until5(s218)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[10928, 33837])).
% 9.38/6.89 tff(33839,plain,
% 9.38/6.89 (~node4(s218)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[10932, 22, 33826])).
% 9.38/6.89 tff(33840,plain,
% 9.38/6.89 (xuntil6(s218) | (~until5(s218))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[10939, 36, 33839])).
% 9.38/6.89 tff(33841,plain,
% 9.38/6.89 (xuntil6(s218)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33840, 33838])).
% 9.38/6.89 tff(33842,plain,
% 9.38/6.89 (until5(s219)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[10945, 33841])).
% 9.38/6.89 tff(33843,plain,
% 9.38/6.89 (~node4(s219)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[10949, 22, 33825])).
% 9.38/6.89 tff(33844,plain,
% 9.38/6.89 (xuntil6(s219) | (~until5(s219))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[10956, 36, 33843])).
% 9.38/6.89 tff(33845,plain,
% 9.38/6.89 (xuntil6(s219)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33844, 33842])).
% 9.38/6.89 tff(33846,plain,
% 9.38/6.89 (until5(s220)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[10962, 33845])).
% 9.38/6.89 tff(33847,plain,
% 9.38/6.89 (~node4(s220)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[10966, 22, 33824])).
% 9.38/6.89 tff(33848,plain,
% 9.38/6.89 (xuntil6(s220) | (~until5(s220))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[10973, 36, 33847])).
% 9.38/6.89 tff(33849,plain,
% 9.38/6.89 (xuntil6(s220)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33848, 33846])).
% 9.38/6.89 tff(33850,plain,
% 9.38/6.89 (until5(s221)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[10979, 33849])).
% 9.38/6.89 tff(33851,plain,
% 9.38/6.89 (~node4(s221)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[10983, 22, 33823])).
% 9.38/6.89 tff(33852,plain,
% 9.38/6.89 (xuntil6(s221) | (~until5(s221))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[10990, 36, 33851])).
% 9.38/6.89 tff(33853,plain,
% 9.38/6.89 (xuntil6(s221)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33852, 33850])).
% 9.38/6.89 tff(33854,plain,
% 9.38/6.89 (until5(s222)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[10996, 33853])).
% 9.38/6.89 tff(33855,plain,
% 9.38/6.89 (~node4(s222)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11000, 22, 33822])).
% 9.38/6.89 tff(33856,plain,
% 9.38/6.89 (xuntil6(s222) | (~until5(s222))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11007, 36, 33855])).
% 9.38/6.89 tff(33857,plain,
% 9.38/6.89 (xuntil6(s222)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33856, 33854])).
% 9.38/6.89 tff(33858,plain,
% 9.38/6.89 (until5(s223)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11013, 33857])).
% 9.38/6.89 tff(33859,plain,
% 9.38/6.89 (~node4(s223)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11017, 22, 33821])).
% 9.38/6.89 tff(33860,plain,
% 9.38/6.89 (xuntil6(s223) | (~until5(s223))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11024, 36, 33859])).
% 9.38/6.89 tff(33861,plain,
% 9.38/6.89 (xuntil6(s223)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33860, 33858])).
% 9.38/6.89 tff(33862,plain,
% 9.38/6.89 (until5(s224)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11030, 33861])).
% 9.38/6.89 tff(33863,plain,
% 9.38/6.89 (~node4(s224)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11034, 22, 33820])).
% 9.38/6.89 tff(33864,plain,
% 9.38/6.89 (xuntil6(s224) | (~until5(s224))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11041, 36, 33863])).
% 9.38/6.89 tff(33865,plain,
% 9.38/6.89 (xuntil6(s224)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33864, 33862])).
% 9.38/6.89 tff(33866,plain,
% 9.38/6.89 (until5(s225)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11047, 33865])).
% 9.38/6.89 tff(33867,plain,
% 9.38/6.89 (~node4(s225)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11051, 22, 33819])).
% 9.38/6.89 tff(33868,plain,
% 9.38/6.89 (xuntil6(s225) | (~until5(s225))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11058, 36, 33867])).
% 9.38/6.89 tff(33869,plain,
% 9.38/6.89 (xuntil6(s225)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33868, 33866])).
% 9.38/6.89 tff(33870,plain,
% 9.38/6.89 (until5(s226)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11064, 33869])).
% 9.38/6.89 tff(33871,plain,
% 9.38/6.89 (~node4(s226)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11068, 22, 33818])).
% 9.38/6.89 tff(33872,plain,
% 9.38/6.89 (xuntil6(s226) | (~until5(s226))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11075, 36, 33871])).
% 9.38/6.89 tff(33873,plain,
% 9.38/6.89 (xuntil6(s226)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33872, 33870])).
% 9.38/6.89 tff(33874,plain,
% 9.38/6.89 (until5(s227)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11081, 33873])).
% 9.38/6.89 tff(33875,plain,
% 9.38/6.89 (~node4(s227)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11085, 22, 33817])).
% 9.38/6.89 tff(33876,plain,
% 9.38/6.89 (xuntil6(s227) | (~until5(s227))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11092, 36, 33875])).
% 9.38/6.89 tff(33877,plain,
% 9.38/6.89 (xuntil6(s227)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33876, 33874])).
% 9.38/6.89 tff(33878,plain,
% 9.38/6.89 (until5(s228)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11098, 33877])).
% 9.38/6.89 tff(33879,plain,
% 9.38/6.89 (~node4(s228)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11102, 22, 33816])).
% 9.38/6.89 tff(33880,plain,
% 9.38/6.89 (xuntil6(s228) | (~until5(s228))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11109, 36, 33879])).
% 9.38/6.89 tff(33881,plain,
% 9.38/6.89 (xuntil6(s228)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33880, 33878])).
% 9.38/6.89 tff(33882,plain,
% 9.38/6.89 (until5(s229)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11115, 33881])).
% 9.38/6.89 tff(33883,plain,
% 9.38/6.89 (~node4(s229)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11119, 22, 33815])).
% 9.38/6.89 tff(33884,plain,
% 9.38/6.89 (xuntil6(s229) | (~until5(s229))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11126, 36, 33883])).
% 9.38/6.89 tff(33885,plain,
% 9.38/6.89 (xuntil6(s229)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33884, 33882])).
% 9.38/6.89 tff(33886,plain,
% 9.38/6.89 (until5(s230)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11132, 33885])).
% 9.38/6.89 tff(33887,plain,
% 9.38/6.89 (~node4(s230)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11136, 22, 33814])).
% 9.38/6.89 tff(33888,plain,
% 9.38/6.89 (xuntil6(s230) | (~until5(s230))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11143, 36, 33887])).
% 9.38/6.89 tff(33889,plain,
% 9.38/6.89 ($false),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33888, 33886, 33813])).
% 9.38/6.89 tff(33890,plain,(always3(s244) | xuntil6(s244) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.89 tff(33891,plain,
% 9.38/6.89 (always3(s244)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33890, 33744, 6320])).
% 9.38/6.89 tff(33892,plain,
% 9.38/6.89 (always3(s245)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[5974, 33891])).
% 9.38/6.89 tff(33893,plain,
% 9.38/6.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s245)) | (~m_main_v_state(s245, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s245)) | (~m_main_v_state(s245, c_busy)))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33894,plain,
% 9.38/6.89 (((~m_main_v_state(s245, c_busy)) | (~always3(s245))) <=> ((~always3(s245)) | (~m_main_v_state(s245, c_busy)))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33895,plain,
% 9.38/6.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s245, c_busy)) | (~always3(s245)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s245)) | (~m_main_v_state(s245, c_busy))))),
% 9.38/6.89 inference(monotonicity,[status(thm)],[33894])).
% 9.38/6.89 tff(33896,plain,
% 9.38/6.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s245, c_busy)) | (~always3(s245)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s245)) | (~m_main_v_state(s245, c_busy)))),
% 9.38/6.89 inference(transitivity,[status(thm)],[33895, 33893])).
% 9.38/6.89 tff(33897,plain,
% 9.38/6.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s245, c_busy)) | (~always3(s245)))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(33898,plain,
% 9.38/6.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s245)) | (~m_main_v_state(s245, c_busy))),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[33897, 33896])).
% 9.38/6.89 tff(33899,plain,
% 9.38/6.89 (~m_main_v_state(s245, c_busy)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33898, 170, 33892])).
% 9.38/6.89 tff(33900,plain,
% 9.38/6.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s244)) | (~m_main_v_state(s244, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s244)) | (~m_main_v_state(s244, c_busy)))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33901,plain,
% 9.38/6.89 (((~m_main_v_state(s244, c_busy)) | (~always3(s244))) <=> ((~always3(s244)) | (~m_main_v_state(s244, c_busy)))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33902,plain,
% 9.38/6.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s244, c_busy)) | (~always3(s244)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s244)) | (~m_main_v_state(s244, c_busy))))),
% 9.38/6.89 inference(monotonicity,[status(thm)],[33901])).
% 9.38/6.89 tff(33903,plain,
% 9.38/6.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s244, c_busy)) | (~always3(s244)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s244)) | (~m_main_v_state(s244, c_busy)))),
% 9.38/6.89 inference(transitivity,[status(thm)],[33902, 33900])).
% 9.38/6.89 tff(33904,plain,
% 9.38/6.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s244, c_busy)) | (~always3(s244)))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(33905,plain,
% 9.38/6.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s244)) | (~m_main_v_state(s244, c_busy))),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[33904, 33903])).
% 9.38/6.89 tff(33906,plain,
% 9.38/6.89 (~m_main_v_state(s244, c_busy)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33905, 170, 33891])).
% 9.38/6.89 tff(33907,plain,
% 9.38/6.89 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s244, c_busy) | m_main_v_state(s244, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s244, c_busy) | m_main_v_state(s244, c_ready))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33908,plain,
% 9.38/6.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s244, c_busy) | m_main_v_state(s244, c_ready))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(33909,plain,
% 9.38/6.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s244, c_busy) | m_main_v_state(s244, c_ready)),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[33908, 33907])).
% 9.38/6.89 tff(33910,plain,
% 9.38/6.89 (m_main_v_state(s244, c_ready)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33909, 213, 33906])).
% 9.38/6.89 tff(33911,assumption,(until5(s242)), introduced(assumption)).
% 9.38/6.89 tff(33912,assumption,(~xuntil6(s243)), introduced(assumption)).
% 9.38/6.89 tff(33913,assumption,(~always3(s243)), introduced(assumption)).
% 9.38/6.89 tff(33914,plain,
% 9.38/6.89 (~always3(s242)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[5998, 33913])).
% 9.38/6.89 tff(33915,plain,
% 9.38/6.89 (~node4(s242)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11340, 22, 33914])).
% 9.38/6.89 tff(33916,plain,
% 9.38/6.89 (xuntil6(s242) | node4(s242)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11347, 36, 33911])).
% 9.38/6.89 tff(33917,plain,
% 9.38/6.89 (xuntil6(s242)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33916, 33915])).
% 9.38/6.89 tff(33918,plain,
% 9.38/6.89 (until5(s243)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11353, 33917])).
% 9.38/6.89 tff(33919,plain,
% 9.38/6.89 (node4(s243) | (~until5(s243))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11364, 36, 33912])).
% 9.38/6.89 tff(33920,plain,
% 9.38/6.89 (node4(s243)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33919, 33918])).
% 9.38/6.89 tff(33921,plain,
% 9.38/6.89 ($false),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11357, 22, 33913, 33920])).
% 9.38/6.89 tff(33922,plain,(always3(s243) | xuntil6(s243) | (~until5(s242))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.89 tff(33923,plain,
% 9.38/6.89 (always3(s243)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33922, 33911, 33912])).
% 9.38/6.89 tff(33924,plain,
% 9.38/6.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s243)) | (~m_main_v_state(s243, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s243)) | (~m_main_v_state(s243, c_busy)))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33925,plain,
% 9.38/6.89 (((~m_main_v_state(s243, c_busy)) | (~always3(s243))) <=> ((~always3(s243)) | (~m_main_v_state(s243, c_busy)))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33926,plain,
% 9.38/6.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s243, c_busy)) | (~always3(s243)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s243)) | (~m_main_v_state(s243, c_busy))))),
% 9.38/6.89 inference(monotonicity,[status(thm)],[33925])).
% 9.38/6.89 tff(33927,plain,
% 9.38/6.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s243, c_busy)) | (~always3(s243)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s243)) | (~m_main_v_state(s243, c_busy)))),
% 9.38/6.89 inference(transitivity,[status(thm)],[33926, 33924])).
% 9.38/6.89 tff(33928,plain,
% 9.38/6.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s243, c_busy)) | (~always3(s243)))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(33929,plain,
% 9.38/6.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s243)) | (~m_main_v_state(s243, c_busy))),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[33928, 33927])).
% 9.38/6.89 tff(33930,plain,
% 9.38/6.89 (~m_main_v_state(s243, c_busy)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33929, 170, 33923])).
% 9.38/6.89 tff(33931,assumption,(~m_main_v_state(s244, c_busy)), introduced(assumption)).
% 9.38/6.89 tff(33932,plain,
% 9.38/6.89 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s243, c_busy) | m_main_v_state(s243, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s243, c_busy) | m_main_v_state(s243, c_ready))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33933,plain,
% 9.38/6.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s243, c_busy) | m_main_v_state(s243, c_ready))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(33934,plain,
% 9.38/6.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s243, c_busy) | m_main_v_state(s243, c_ready)),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[33933, 33932])).
% 9.38/6.89 tff(33935,plain,
% 9.38/6.89 (m_main_v_state(s243, c_ready)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33934, 213, 33930])).
% 9.38/6.89 tff(33936,plain,
% 9.38/6.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s243, s244)) | node2(s243, s244))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s243, s244)) | node2(s243, s244))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33937,plain,
% 9.38/6.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s243, s244)) | node2(s243, s244))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(33938,plain,
% 9.38/6.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s243, s244)) | node2(s243, s244)),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[33937, 33936])).
% 9.38/6.89 tff(33939,plain,
% 9.38/6.89 (node2(s243, s244)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33938, 7, 5982])).
% 9.38/6.89 tff(33940,plain,
% 9.38/6.89 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s243, c_ready)) | (~node2(s243, s244)) | m_main_v_state(s244, c_busy) | (~m_main_v_request(s243)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s243, c_ready)) | (~node2(s243, s244)) | m_main_v_state(s244, c_busy) | (~m_main_v_request(s243)))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33941,plain,
% 9.38/6.89 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s243, c_ready)) | (~node2(s243, s244)) | m_main_v_state(s244, c_busy) | (~m_main_v_request(s243)))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(33942,plain,
% 9.38/6.89 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s243, c_ready)) | (~node2(s243, s244)) | m_main_v_state(s244, c_busy) | (~m_main_v_request(s243))),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[33941, 33940])).
% 9.38/6.89 tff(33943,plain,
% 9.38/6.89 ((~m_main_v_state(s243, c_ready)) | m_main_v_state(s244, c_busy) | (~m_main_v_request(s243))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33942, 191, 33939])).
% 9.38/6.89 tff(33944,plain,
% 9.38/6.89 (~m_main_v_request(s243)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33943, 33935, 33931])).
% 9.38/6.89 tff(33945,plain,
% 9.38/6.89 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s243) | (~node4(s243)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s243) | (~node4(s243)))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33946,plain,
% 9.38/6.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s243) | (~node4(s243)))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(33947,plain,
% 9.38/6.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s243) | (~node4(s243))),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[33946, 33945])).
% 9.38/6.89 tff(33948,plain,
% 9.38/6.89 (~node4(s243)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33947, 154, 33944])).
% 9.38/6.89 tff(33949,plain,
% 9.38/6.89 (~until5(s243)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33919, 33948])).
% 9.38/6.89 tff(33950,plain,
% 9.38/6.89 (~xuntil6(s242)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11353, 33949])).
% 9.38/6.89 tff(33951,plain,
% 9.38/6.89 (node4(s242)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33916, 33950])).
% 9.38/6.89 tff(33952,plain,
% 9.38/6.89 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s242) | (~node4(s242)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s242) | (~node4(s242)))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33953,plain,
% 9.38/6.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s242) | (~node4(s242)))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(33954,plain,
% 9.38/6.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s242) | (~node4(s242))),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[33953, 33952])).
% 9.38/6.89 tff(33955,plain,
% 9.38/6.89 (m_main_v_request(s242)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33954, 154, 33951])).
% 9.38/6.89 tff(33956,plain,
% 9.38/6.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s242, s243)) | node2(s242, s243))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s242, s243)) | node2(s242, s243))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33957,plain,
% 9.38/6.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s242, s243)) | node2(s242, s243))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(33958,plain,
% 9.38/6.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s242, s243)) | node2(s242, s243)),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[33957, 33956])).
% 9.38/6.89 tff(33959,plain,
% 9.38/6.89 (node2(s242, s243)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33958, 7, 5994])).
% 9.38/6.89 tff(33960,plain,
% 9.38/6.89 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s242, c_ready)) | (~node2(s242, s243)) | m_main_v_state(s243, c_busy) | (~m_main_v_request(s242)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s242, c_ready)) | (~node2(s242, s243)) | m_main_v_state(s243, c_busy) | (~m_main_v_request(s242)))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33961,plain,
% 9.38/6.89 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s242, c_ready)) | (~node2(s242, s243)) | m_main_v_state(s243, c_busy) | (~m_main_v_request(s242)))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(33962,plain,
% 9.38/6.89 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s242, c_ready)) | (~node2(s242, s243)) | m_main_v_state(s243, c_busy) | (~m_main_v_request(s242))),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[33961, 33960])).
% 9.38/6.89 tff(33963,plain,
% 9.38/6.89 ((~m_main_v_state(s242, c_ready)) | m_main_v_state(s243, c_busy) | (~m_main_v_request(s242))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33962, 191, 33959])).
% 9.38/6.89 tff(33964,plain,
% 9.38/6.89 (~m_main_v_state(s242, c_ready)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33963, 33955, 33930])).
% 9.38/6.89 tff(33965,plain,
% 9.38/6.89 (always3(s242)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11340, 22, 33951])).
% 9.38/6.89 tff(33966,plain,
% 9.38/6.89 (~m_main_v_state(s242, c_busy)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33687, 170, 33965])).
% 9.38/6.89 tff(33967,plain,
% 9.38/6.89 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s242, c_busy) | m_main_v_state(s242, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s242, c_busy) | m_main_v_state(s242, c_ready))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33968,plain,
% 9.38/6.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s242, c_busy) | m_main_v_state(s242, c_ready))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(33969,plain,
% 9.38/6.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s242, c_busy) | m_main_v_state(s242, c_ready)),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[33968, 33967])).
% 9.38/6.89 tff(33970,plain,
% 9.38/6.89 ($false),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33969, 213, 33966, 33964])).
% 9.38/6.89 tff(33971,plain,((~until5(s242)) | xuntil6(s243) | m_main_v_state(s244, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.38/6.89 tff(33972,plain,
% 9.38/6.89 (xuntil6(s243)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33971, 33906, 33911])).
% 9.38/6.89 tff(33973,plain,
% 9.38/6.89 (until5(s244)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11370, 33972])).
% 9.38/6.89 tff(33974,plain,
% 9.38/6.89 (node4(s244)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33749, 33973])).
% 9.38/6.89 tff(33975,plain,
% 9.38/6.89 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s244) | (~node4(s244)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s244) | (~node4(s244)))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33976,plain,
% 9.38/6.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s244) | (~node4(s244)))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(33977,plain,
% 9.38/6.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s244) | (~node4(s244))),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[33976, 33975])).
% 9.38/6.89 tff(33978,plain,
% 9.38/6.89 (m_main_v_request(s244)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33977, 154, 33974])).
% 9.38/6.89 tff(33979,plain,
% 9.38/6.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s244, s245)) | node2(s244, s245))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s244, s245)) | node2(s244, s245))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33980,plain,
% 9.38/6.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s244, s245)) | node2(s244, s245))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(33981,plain,
% 9.38/6.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s244, s245)) | node2(s244, s245)),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[33980, 33979])).
% 9.38/6.89 tff(33982,plain,
% 9.38/6.89 (node2(s244, s245)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33981, 7, 5970])).
% 9.38/6.89 tff(33983,plain,
% 9.38/6.89 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s244, c_ready)) | (~node2(s244, s245)) | m_main_v_state(s245, c_busy) | (~m_main_v_request(s244)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s244, c_ready)) | (~node2(s244, s245)) | m_main_v_state(s245, c_busy) | (~m_main_v_request(s244)))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(33984,plain,
% 9.38/6.89 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s244, c_ready)) | (~node2(s244, s245)) | m_main_v_state(s245, c_busy) | (~m_main_v_request(s244)))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(33985,plain,
% 9.38/6.89 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s244, c_ready)) | (~node2(s244, s245)) | m_main_v_state(s245, c_busy) | (~m_main_v_request(s244))),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[33984, 33983])).
% 9.38/6.89 tff(33986,plain,
% 9.38/6.89 ((~m_main_v_state(s244, c_ready)) | m_main_v_state(s245, c_busy) | (~m_main_v_request(s244))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33985, 191, 33982])).
% 9.38/6.89 tff(33987,plain,
% 9.38/6.89 ($false),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33986, 33978, 33910, 33899])).
% 9.38/6.89 tff(33988,plain,(xuntil6(s244) | (~until5(s242)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.38/6.89 tff(33989,plain,
% 9.38/6.89 (xuntil6(s244)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[33988, 33743, 5071])).
% 9.38/6.89 tff(33990,plain,
% 9.38/6.89 (until5(s245)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11387, 33989])).
% 9.38/6.89 tff(33991,assumption,(~xuntil6(s246)), introduced(assumption)).
% 9.38/6.89 tff(33992,assumption,(~always3(s246)), introduced(assumption)).
% 9.38/6.89 tff(33993,plain,
% 9.38/6.89 (~always3(s245)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[5962, 33992])).
% 9.38/6.89 tff(33994,plain,
% 9.38/6.89 (~node4(s245)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11391, 22, 33993])).
% 9.38/6.89 tff(33995,plain,
% 9.38/6.89 (~node4(s246)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[11408, 22, 33992])).
% 9.38/6.90 tff(33996,plain,
% 9.38/6.90 (node4(s246) | (~until5(s246))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11415, 36, 33991])).
% 9.38/6.90 tff(33997,plain,
% 9.38/6.90 (~until5(s246)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[33996, 33995])).
% 9.38/6.90 tff(33998,plain,
% 9.38/6.90 (~xuntil6(s245)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11404, 33997])).
% 9.38/6.90 tff(33999,plain,
% 9.38/6.90 (~until5(s245)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11398, 36, 33998, 33994])).
% 9.38/6.90 tff(34000,plain,
% 9.38/6.90 (~xuntil6(s244)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11387, 33999])).
% 9.38/6.90 tff(34001,plain,
% 9.38/6.90 (~always3(s244)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[5974, 33993])).
% 9.38/6.90 tff(34002,plain,
% 9.38/6.90 (~node4(s244)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11374, 22, 34001])).
% 9.38/6.90 tff(34003,plain,
% 9.38/6.90 (xuntil6(s244) | (~until5(s244))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11381, 36, 34002])).
% 9.38/6.90 tff(34004,plain,
% 9.38/6.90 (~until5(s244)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[34003, 34000])).
% 9.38/6.90 tff(34005,plain,
% 9.38/6.90 (~xuntil6(s243)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11370, 34004])).
% 9.38/6.90 tff(34006,plain,
% 9.38/6.90 (~always3(s243)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[5986, 34001])).
% 9.38/6.90 tff(34007,plain,
% 9.38/6.90 (~node4(s243)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11357, 22, 34006])).
% 9.38/6.90 tff(34008,plain,
% 9.38/6.90 (xuntil6(s243) | (~until5(s243))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11364, 36, 34007])).
% 9.38/6.90 tff(34009,plain,
% 9.38/6.90 (~until5(s243)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[34008, 34005])).
% 9.38/6.90 tff(34010,plain,
% 9.38/6.90 (~xuntil6(s242)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11353, 34009])).
% 9.38/6.90 tff(34011,plain,
% 9.38/6.90 (~always3(s242)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[5998, 34006])).
% 9.38/6.90 tff(34012,plain,
% 9.38/6.90 (~node4(s242)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11340, 22, 34011])).
% 9.38/6.90 tff(34013,plain,
% 9.38/6.90 (xuntil6(s242) | (~until5(s242))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11347, 36, 34012])).
% 9.38/6.90 tff(34014,plain,
% 9.38/6.90 (~until5(s242)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[34013, 34010])).
% 9.38/6.90 tff(34015,plain,
% 9.38/6.90 (~xuntil6(s241)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11336, 34014])).
% 9.38/6.90 tff(34016,plain,
% 9.38/6.90 (~always3(s241)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6010, 34011])).
% 9.38/6.90 tff(34017,plain,
% 9.38/6.90 (~node4(s241)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11323, 22, 34016])).
% 9.38/6.90 tff(34018,plain,
% 9.38/6.90 (xuntil6(s241) | (~until5(s241))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11330, 36, 34017])).
% 9.38/6.90 tff(34019,plain,
% 9.38/6.90 (~until5(s241)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[34018, 34015])).
% 9.38/6.90 tff(34020,plain,
% 9.38/6.90 (~xuntil6(s240)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11319, 34019])).
% 9.38/6.90 tff(34021,plain,
% 9.38/6.90 (~always3(s240)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6022, 34016])).
% 9.38/6.90 tff(34022,plain,
% 9.38/6.90 (~node4(s240)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11306, 22, 34021])).
% 9.38/6.90 tff(34023,plain,
% 9.38/6.90 (xuntil6(s240) | (~until5(s240))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11313, 36, 34022])).
% 9.38/6.90 tff(34024,plain,
% 9.38/6.90 (~until5(s240)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[34023, 34020])).
% 9.38/6.90 tff(34025,plain,
% 9.38/6.90 (~xuntil6(s239)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11302, 34024])).
% 9.38/6.90 tff(34026,plain,
% 9.38/6.90 (~always3(s239)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6034, 34021])).
% 9.38/6.90 tff(34027,plain,
% 9.38/6.90 (~node4(s239)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11289, 22, 34026])).
% 9.38/6.90 tff(34028,plain,
% 9.38/6.90 (xuntil6(s239) | (~until5(s239))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11296, 36, 34027])).
% 9.38/6.90 tff(34029,plain,
% 9.38/6.90 (~until5(s239)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[34028, 34025])).
% 9.38/6.90 tff(34030,plain,
% 9.38/6.90 (~xuntil6(s238)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11285, 34029])).
% 9.38/6.90 tff(34031,plain,
% 9.38/6.90 (~always3(s238)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6046, 34026])).
% 9.38/6.90 tff(34032,plain,
% 9.38/6.90 (~node4(s238)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11272, 22, 34031])).
% 9.38/6.90 tff(34033,plain,
% 9.38/6.90 (xuntil6(s238) | (~until5(s238))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11279, 36, 34032])).
% 9.38/6.90 tff(34034,plain,
% 9.38/6.90 (~until5(s238)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[34033, 34030])).
% 9.38/6.90 tff(34035,plain,
% 9.38/6.90 (~xuntil6(s237)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11268, 34034])).
% 9.38/6.90 tff(34036,plain,
% 9.38/6.90 (~always3(s237)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6058, 34031])).
% 9.38/6.90 tff(34037,plain,
% 9.38/6.90 (~node4(s237)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11255, 22, 34036])).
% 9.38/6.90 tff(34038,plain,
% 9.38/6.90 (xuntil6(s237) | (~until5(s237))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11262, 36, 34037])).
% 9.38/6.90 tff(34039,plain,
% 9.38/6.90 (~until5(s237)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[34038, 34035])).
% 9.38/6.90 tff(34040,plain,
% 9.38/6.90 (~xuntil6(s236)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11251, 34039])).
% 9.38/6.90 tff(34041,plain,
% 9.38/6.90 (~always3(s236)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6070, 34036])).
% 9.38/6.90 tff(34042,plain,
% 9.38/6.90 (~node4(s236)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11238, 22, 34041])).
% 9.38/6.90 tff(34043,plain,
% 9.38/6.90 (xuntil6(s236) | (~until5(s236))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11245, 36, 34042])).
% 9.38/6.90 tff(34044,plain,
% 9.38/6.90 (~until5(s236)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[34043, 34040])).
% 9.38/6.90 tff(34045,plain,
% 9.38/6.90 (~xuntil6(s235)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11234, 34044])).
% 9.38/6.90 tff(34046,plain,
% 9.38/6.90 (~always3(s235)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6082, 34041])).
% 9.38/6.90 tff(34047,plain,
% 9.38/6.90 (~node4(s235)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11221, 22, 34046])).
% 9.38/6.90 tff(34048,plain,
% 9.38/6.90 (xuntil6(s235) | (~until5(s235))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11228, 36, 34047])).
% 9.38/6.90 tff(34049,plain,
% 9.38/6.90 (~until5(s235)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[34048, 34045])).
% 9.38/6.90 tff(34050,plain,
% 9.38/6.90 (~xuntil6(s234)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11217, 34049])).
% 9.38/6.90 tff(34051,plain,
% 9.38/6.90 (~always3(s234)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6094, 34046])).
% 9.38/6.90 tff(34052,plain,
% 9.38/6.90 (~node4(s234)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11204, 22, 34051])).
% 9.38/6.90 tff(34053,plain,
% 9.38/6.90 (xuntil6(s234) | (~until5(s234))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11211, 36, 34052])).
% 9.38/6.90 tff(34054,plain,
% 9.38/6.90 (~until5(s234)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[34053, 34050])).
% 9.38/6.90 tff(34055,plain,
% 9.38/6.90 (~xuntil6(s233)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11200, 34054])).
% 9.38/6.90 tff(34056,plain,
% 9.38/6.90 (~always3(s233)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6106, 34051])).
% 9.38/6.90 tff(34057,plain,
% 9.38/6.90 (~node4(s233)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11187, 22, 34056])).
% 9.38/6.90 tff(34058,plain,
% 9.38/6.90 (xuntil6(s233) | (~until5(s233))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11194, 36, 34057])).
% 9.38/6.90 tff(34059,plain,
% 9.38/6.90 (~until5(s233)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[34058, 34055])).
% 9.38/6.90 tff(34060,plain,
% 9.38/6.90 (~xuntil6(s232)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11183, 34059])).
% 9.38/6.90 tff(34061,plain,
% 9.38/6.90 (~always3(s232)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6118, 34056])).
% 9.38/6.90 tff(34062,plain,
% 9.38/6.90 (~node4(s232)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11170, 22, 34061])).
% 9.38/6.90 tff(34063,plain,
% 9.38/6.90 (xuntil6(s232) | (~until5(s232))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11177, 36, 34062])).
% 9.38/6.90 tff(34064,plain,
% 9.38/6.90 (~until5(s232)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[34063, 34060])).
% 9.38/6.90 tff(34065,plain,
% 9.38/6.90 (~xuntil6(s231)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[11166, 34064])).
% 9.38/6.90 tff(34066,plain,
% 9.38/6.90 (~always3(s231)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6130, 34061])).
% 9.38/6.90 tff(34067,plain,
% 9.38/6.90 (~always3(s230)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6142, 34066])).
% 9.38/6.90 tff(34068,plain,
% 9.38/6.90 (~always3(s229)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6154, 34067])).
% 9.38/6.90 tff(34069,plain,
% 9.38/6.90 (~always3(s228)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6166, 34068])).
% 9.38/6.90 tff(34070,plain,
% 9.38/6.90 (~always3(s227)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6178, 34069])).
% 9.38/6.90 tff(34071,plain,
% 9.38/6.90 (~always3(s226)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6190, 34070])).
% 9.38/6.90 tff(34072,plain,
% 9.38/6.90 (~always3(s225)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6202, 34071])).
% 9.38/6.90 tff(34073,plain,
% 9.38/6.90 (~always3(s224)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6214, 34072])).
% 9.38/6.90 tff(34074,plain,
% 9.38/6.90 (~always3(s223)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6226, 34073])).
% 9.38/6.90 tff(34075,plain,
% 9.38/6.90 (~always3(s222)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6238, 34074])).
% 9.38/6.90 tff(34076,plain,
% 9.38/6.90 (~always3(s221)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6250, 34075])).
% 9.38/6.90 tff(34077,plain,
% 9.38/6.90 (~always3(s220)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6262, 34076])).
% 9.38/6.90 tff(34078,plain,
% 9.38/6.90 (~always3(s219)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6274, 34077])).
% 9.38/6.90 tff(34079,plain,
% 9.38/6.90 (~always3(s218)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6286, 34078])).
% 9.38/6.90 tff(34080,plain,
% 9.38/6.90 (~always3(s217)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6298, 34079])).
% 9.38/6.90 tff(34081,plain,
% 9.38/6.90 (~node4(s217)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6302, 22, 34080])).
% 9.38/6.90 tff(34082,plain,
% 9.38/6.90 (~always3(s216)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6314, 34080])).
% 9.38/6.90 tff(34083,plain,
% 9.38/6.90 (~node4(s216)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6318, 22, 34082])).
% 9.38/6.90 tff(34084,plain,
% 9.38/6.90 (~always3(s215)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[6331, 34082])).
% 9.38/6.90 tff(34085,plain,
% 9.38/6.90 (xuntil6(s215)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[10898, 34084, 6320])).
% 9.38/6.90 tff(34086,plain,
% 9.38/6.90 (until5(s216)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[10903, 34085])).
% 9.38/6.90 tff(34087,plain,
% 9.38/6.90 (xuntil6(s216) | node4(s216)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[10910, 36, 34086])).
% 9.38/6.90 tff(34088,plain,
% 9.38/6.90 (xuntil6(s216)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[34087, 34083])).
% 9.38/6.90 tff(34089,plain,
% 9.38/6.90 (until5(s217)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[10916, 34088])).
% 9.38/6.90 tff(34090,plain,
% 9.38/6.90 (xuntil6(s217)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[10923, 36, 34089, 34081])).
% 9.38/6.90 tff(34091,plain,
% 9.38/6.90 (until5(s218)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[10928, 34090])).
% 9.38/6.90 tff(34092,plain,
% 9.38/6.90 (~node4(s218)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[10932, 22, 34079])).
% 9.38/6.90 tff(34093,plain,
% 9.38/6.90 (xuntil6(s218) | (~until5(s218))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[10939, 36, 34092])).
% 9.46/6.90 tff(34094,plain,
% 9.46/6.90 (xuntil6(s218)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34093, 34091])).
% 9.46/6.90 tff(34095,plain,
% 9.46/6.90 (until5(s219)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10945, 34094])).
% 9.46/6.90 tff(34096,plain,
% 9.46/6.90 (~node4(s219)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10949, 22, 34078])).
% 9.46/6.90 tff(34097,plain,
% 9.46/6.90 (xuntil6(s219) | (~until5(s219))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10956, 36, 34096])).
% 9.46/6.90 tff(34098,plain,
% 9.46/6.90 (xuntil6(s219)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34097, 34095])).
% 9.46/6.90 tff(34099,plain,
% 9.46/6.90 (until5(s220)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10962, 34098])).
% 9.46/6.90 tff(34100,plain,
% 9.46/6.90 (~node4(s220)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10966, 22, 34077])).
% 9.46/6.90 tff(34101,plain,
% 9.46/6.90 (xuntil6(s220) | (~until5(s220))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10973, 36, 34100])).
% 9.46/6.90 tff(34102,plain,
% 9.46/6.90 (xuntil6(s220)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34101, 34099])).
% 9.46/6.90 tff(34103,plain,
% 9.46/6.90 (until5(s221)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10979, 34102])).
% 9.46/6.90 tff(34104,plain,
% 9.46/6.90 (~node4(s221)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10983, 22, 34076])).
% 9.46/6.90 tff(34105,plain,
% 9.46/6.90 (xuntil6(s221) | (~until5(s221))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10990, 36, 34104])).
% 9.46/6.90 tff(34106,plain,
% 9.46/6.90 (xuntil6(s221)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34105, 34103])).
% 9.46/6.90 tff(34107,plain,
% 9.46/6.90 (until5(s222)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10996, 34106])).
% 9.46/6.90 tff(34108,plain,
% 9.46/6.90 (~node4(s222)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11000, 22, 34075])).
% 9.46/6.90 tff(34109,plain,
% 9.46/6.90 (xuntil6(s222) | (~until5(s222))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11007, 36, 34108])).
% 9.46/6.90 tff(34110,plain,
% 9.46/6.90 (xuntil6(s222)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34109, 34107])).
% 9.46/6.90 tff(34111,plain,
% 9.46/6.90 (until5(s223)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11013, 34110])).
% 9.46/6.90 tff(34112,plain,
% 9.46/6.90 (~node4(s223)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11017, 22, 34074])).
% 9.46/6.90 tff(34113,plain,
% 9.46/6.90 (xuntil6(s223) | (~until5(s223))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11024, 36, 34112])).
% 9.46/6.90 tff(34114,plain,
% 9.46/6.90 (xuntil6(s223)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34113, 34111])).
% 9.46/6.90 tff(34115,plain,
% 9.46/6.90 (until5(s224)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11030, 34114])).
% 9.46/6.90 tff(34116,plain,
% 9.46/6.90 (~node4(s224)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11034, 22, 34073])).
% 9.46/6.90 tff(34117,plain,
% 9.46/6.90 (xuntil6(s224) | (~until5(s224))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11041, 36, 34116])).
% 9.46/6.90 tff(34118,plain,
% 9.46/6.90 (xuntil6(s224)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34117, 34115])).
% 9.46/6.90 tff(34119,plain,
% 9.46/6.90 (until5(s225)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11047, 34118])).
% 9.46/6.90 tff(34120,plain,
% 9.46/6.90 (~node4(s225)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11051, 22, 34072])).
% 9.46/6.90 tff(34121,plain,
% 9.46/6.90 (xuntil6(s225) | (~until5(s225))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11058, 36, 34120])).
% 9.46/6.90 tff(34122,plain,
% 9.46/6.90 (xuntil6(s225)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34121, 34119])).
% 9.46/6.90 tff(34123,plain,
% 9.46/6.90 (until5(s226)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11064, 34122])).
% 9.46/6.90 tff(34124,plain,
% 9.46/6.90 (~node4(s226)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11068, 22, 34071])).
% 9.46/6.90 tff(34125,plain,
% 9.46/6.90 (xuntil6(s226) | (~until5(s226))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11075, 36, 34124])).
% 9.46/6.90 tff(34126,plain,
% 9.46/6.90 (xuntil6(s226)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34125, 34123])).
% 9.46/6.90 tff(34127,plain,
% 9.46/6.90 (until5(s227)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11081, 34126])).
% 9.46/6.90 tff(34128,plain,
% 9.46/6.90 (~node4(s227)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11085, 22, 34070])).
% 9.46/6.90 tff(34129,plain,
% 9.46/6.90 (xuntil6(s227) | (~until5(s227))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11092, 36, 34128])).
% 9.46/6.90 tff(34130,plain,
% 9.46/6.90 (xuntil6(s227)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34129, 34127])).
% 9.46/6.90 tff(34131,plain,
% 9.46/6.90 (until5(s228)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11098, 34130])).
% 9.46/6.90 tff(34132,plain,
% 9.46/6.90 (~node4(s228)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11102, 22, 34069])).
% 9.46/6.90 tff(34133,plain,
% 9.46/6.90 (xuntil6(s228) | (~until5(s228))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11109, 36, 34132])).
% 9.46/6.90 tff(34134,plain,
% 9.46/6.90 (xuntil6(s228)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34133, 34131])).
% 9.46/6.90 tff(34135,plain,
% 9.46/6.90 (until5(s229)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11115, 34134])).
% 9.46/6.90 tff(34136,plain,
% 9.46/6.90 (~node4(s229)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11119, 22, 34068])).
% 9.46/6.90 tff(34137,plain,
% 9.46/6.90 (xuntil6(s229) | (~until5(s229))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11126, 36, 34136])).
% 9.46/6.90 tff(34138,plain,
% 9.46/6.90 (xuntil6(s229)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34137, 34135])).
% 9.46/6.90 tff(34139,plain,
% 9.46/6.90 (until5(s230)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11132, 34138])).
% 9.46/6.90 tff(34140,plain,
% 9.46/6.90 (~node4(s230)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11136, 22, 34067])).
% 9.46/6.90 tff(34141,plain,
% 9.46/6.90 (xuntil6(s230) | (~until5(s230))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11143, 36, 34140])).
% 9.46/6.90 tff(34142,plain,
% 9.46/6.90 (xuntil6(s230)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34141, 34139])).
% 9.46/6.90 tff(34143,plain,
% 9.46/6.90 (until5(s231)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11149, 34142])).
% 9.46/6.90 tff(34144,plain,
% 9.46/6.90 (~node4(s231)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11153, 22, 34066])).
% 9.46/6.90 tff(34145,plain,
% 9.46/6.90 (xuntil6(s231) | (~until5(s231))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11160, 36, 34144])).
% 9.46/6.90 tff(34146,plain,
% 9.46/6.90 ($false),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34145, 34143, 34065])).
% 9.46/6.90 tff(34147,plain,(always3(s246) | xuntil6(s246) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.46/6.90 tff(34148,plain,
% 9.46/6.90 (always3(s246)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34147, 33991, 6320])).
% 9.46/6.90 tff(34149,plain,
% 9.46/6.90 (always3(s247)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[5950, 34148])).
% 9.46/6.90 tff(34150,plain,
% 9.46/6.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s247)) | (~m_main_v_state(s247, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s247)) | (~m_main_v_state(s247, c_busy)))),
% 9.46/6.90 inference(rewrite,[status(thm)],[])).
% 9.46/6.90 tff(34151,plain,
% 9.46/6.90 (((~m_main_v_state(s247, c_busy)) | (~always3(s247))) <=> ((~always3(s247)) | (~m_main_v_state(s247, c_busy)))),
% 9.46/6.90 inference(rewrite,[status(thm)],[])).
% 9.46/6.90 tff(34152,plain,
% 9.46/6.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s247, c_busy)) | (~always3(s247)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s247)) | (~m_main_v_state(s247, c_busy))))),
% 9.46/6.90 inference(monotonicity,[status(thm)],[34151])).
% 9.46/6.90 tff(34153,plain,
% 9.46/6.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s247, c_busy)) | (~always3(s247)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s247)) | (~m_main_v_state(s247, c_busy)))),
% 9.46/6.90 inference(transitivity,[status(thm)],[34152, 34150])).
% 9.46/6.90 tff(34154,plain,
% 9.46/6.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s247, c_busy)) | (~always3(s247)))),
% 9.46/6.90 inference(quant_inst,[status(thm)],[])).
% 9.46/6.90 tff(34155,plain,
% 9.46/6.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s247)) | (~m_main_v_state(s247, c_busy))),
% 9.46/6.90 inference(modus_ponens,[status(thm)],[34154, 34153])).
% 9.46/6.90 tff(34156,plain,
% 9.46/6.90 (~m_main_v_state(s247, c_busy)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34155, 170, 34149])).
% 9.46/6.90 tff(34157,plain,
% 9.46/6.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s246)) | (~m_main_v_state(s246, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s246)) | (~m_main_v_state(s246, c_busy)))),
% 9.46/6.90 inference(rewrite,[status(thm)],[])).
% 9.46/6.90 tff(34158,plain,
% 9.46/6.90 (((~m_main_v_state(s246, c_busy)) | (~always3(s246))) <=> ((~always3(s246)) | (~m_main_v_state(s246, c_busy)))),
% 9.46/6.90 inference(rewrite,[status(thm)],[])).
% 9.46/6.90 tff(34159,plain,
% 9.46/6.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s246, c_busy)) | (~always3(s246)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s246)) | (~m_main_v_state(s246, c_busy))))),
% 9.46/6.90 inference(monotonicity,[status(thm)],[34158])).
% 9.46/6.90 tff(34160,plain,
% 9.46/6.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s246, c_busy)) | (~always3(s246)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s246)) | (~m_main_v_state(s246, c_busy)))),
% 9.46/6.90 inference(transitivity,[status(thm)],[34159, 34157])).
% 9.46/6.90 tff(34161,plain,
% 9.46/6.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s246, c_busy)) | (~always3(s246)))),
% 9.46/6.90 inference(quant_inst,[status(thm)],[])).
% 9.46/6.90 tff(34162,plain,
% 9.46/6.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s246)) | (~m_main_v_state(s246, c_busy))),
% 9.46/6.90 inference(modus_ponens,[status(thm)],[34161, 34160])).
% 9.46/6.90 tff(34163,plain,
% 9.46/6.90 (~m_main_v_state(s246, c_busy)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34162, 170, 34148])).
% 9.46/6.90 tff(34164,plain,
% 9.46/6.90 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s246, c_busy) | m_main_v_state(s246, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s246, c_busy) | m_main_v_state(s246, c_ready))),
% 9.46/6.90 inference(rewrite,[status(thm)],[])).
% 9.46/6.90 tff(34165,plain,
% 9.46/6.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s246, c_busy) | m_main_v_state(s246, c_ready))),
% 9.46/6.90 inference(quant_inst,[status(thm)],[])).
% 9.46/6.90 tff(34166,plain,
% 9.46/6.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s246, c_busy) | m_main_v_state(s246, c_ready)),
% 9.46/6.90 inference(modus_ponens,[status(thm)],[34165, 34164])).
% 9.46/6.90 tff(34167,plain,
% 9.46/6.90 (m_main_v_state(s246, c_ready)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34166, 213, 34163])).
% 9.46/6.90 tff(34168,assumption,(~m_main_v_state(s246, c_busy)), introduced(assumption)).
% 9.46/6.90 tff(34169,assumption,(node4(s245)), introduced(assumption)).
% 9.46/6.90 tff(34170,plain,
% 9.46/6.90 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s245) | (~node4(s245)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s245) | (~node4(s245)))),
% 9.46/6.90 inference(rewrite,[status(thm)],[])).
% 9.46/6.90 tff(34171,plain,
% 9.46/6.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s245) | (~node4(s245)))),
% 9.46/6.90 inference(quant_inst,[status(thm)],[])).
% 9.46/6.90 tff(34172,plain,
% 9.46/6.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s245) | (~node4(s245))),
% 9.46/6.90 inference(modus_ponens,[status(thm)],[34171, 34170])).
% 9.46/6.90 tff(34173,plain,
% 9.46/6.90 (m_main_v_request(s245)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34172, 154, 34169])).
% 9.46/6.90 tff(34174,plain,
% 9.46/6.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s245, s246)) | node2(s245, s246))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s245, s246)) | node2(s245, s246))),
% 9.46/6.90 inference(rewrite,[status(thm)],[])).
% 9.46/6.90 tff(34175,plain,
% 9.46/6.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s245, s246)) | node2(s245, s246))),
% 9.46/6.90 inference(quant_inst,[status(thm)],[])).
% 9.46/6.90 tff(34176,plain,
% 9.46/6.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s245, s246)) | node2(s245, s246)),
% 9.46/6.90 inference(modus_ponens,[status(thm)],[34175, 34174])).
% 9.46/6.90 tff(34177,plain,
% 9.46/6.90 (node2(s245, s246)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34176, 7, 5958])).
% 9.46/6.90 tff(34178,plain,
% 9.46/6.90 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s245, c_ready)) | (~node2(s245, s246)) | m_main_v_state(s246, c_busy) | (~m_main_v_request(s245)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s245, c_ready)) | (~node2(s245, s246)) | m_main_v_state(s246, c_busy) | (~m_main_v_request(s245)))),
% 9.46/6.90 inference(rewrite,[status(thm)],[])).
% 9.46/6.90 tff(34179,plain,
% 9.46/6.90 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s245, c_ready)) | (~node2(s245, s246)) | m_main_v_state(s246, c_busy) | (~m_main_v_request(s245)))),
% 9.46/6.90 inference(quant_inst,[status(thm)],[])).
% 9.46/6.90 tff(34180,plain,
% 9.46/6.90 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s245, c_ready)) | (~node2(s245, s246)) | m_main_v_state(s246, c_busy) | (~m_main_v_request(s245))),
% 9.46/6.90 inference(modus_ponens,[status(thm)],[34179, 34178])).
% 9.46/6.90 tff(34181,plain,
% 9.46/6.90 ((~m_main_v_state(s245, c_ready)) | m_main_v_state(s246, c_busy) | (~m_main_v_request(s245))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34180, 191, 34177])).
% 9.46/6.90 tff(34182,plain,
% 9.46/6.90 (~m_main_v_state(s245, c_ready)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34181, 34173, 34168])).
% 9.46/6.90 tff(34183,plain,
% 9.46/6.90 (always3(s245)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11391, 22, 34169])).
% 9.46/6.90 tff(34184,plain,
% 9.46/6.90 (~m_main_v_state(s245, c_busy)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[33898, 170, 34183])).
% 9.46/6.90 tff(34185,plain,
% 9.46/6.90 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s245, c_busy) | m_main_v_state(s245, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s245, c_busy) | m_main_v_state(s245, c_ready))),
% 9.46/6.90 inference(rewrite,[status(thm)],[])).
% 9.46/6.90 tff(34186,plain,
% 9.46/6.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s245, c_busy) | m_main_v_state(s245, c_ready))),
% 9.46/6.90 inference(quant_inst,[status(thm)],[])).
% 9.46/6.90 tff(34187,plain,
% 9.46/6.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s245, c_busy) | m_main_v_state(s245, c_ready)),
% 9.46/6.90 inference(modus_ponens,[status(thm)],[34186, 34185])).
% 9.46/6.90 tff(34188,plain,
% 9.46/6.90 ($false),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34187, 213, 34184, 34182])).
% 9.46/6.90 tff(34189,plain,((~node4(s245)) | m_main_v_state(s246, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.46/6.90 tff(34190,plain,
% 9.46/6.90 (~node4(s245)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34189, 34163])).
% 9.46/6.90 tff(34191,assumption,(until5(s245)), introduced(assumption)).
% 9.46/6.90 tff(34192,plain,
% 9.46/6.90 (xuntil6(s245) | node4(s245)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11398, 36, 34191])).
% 9.46/6.90 tff(34193,plain,
% 9.46/6.90 (xuntil6(s245)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34192, 34190])).
% 9.46/6.90 tff(34194,plain,
% 9.46/6.90 (until5(s246)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11404, 34193])).
% 9.46/6.90 tff(34195,plain,
% 9.46/6.90 (node4(s246)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[33996, 34194])).
% 9.46/6.90 tff(34196,plain,
% 9.46/6.90 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s246) | (~node4(s246)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s246) | (~node4(s246)))),
% 9.46/6.90 inference(rewrite,[status(thm)],[])).
% 9.46/6.90 tff(34197,plain,
% 9.46/6.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s246) | (~node4(s246)))),
% 9.46/6.90 inference(quant_inst,[status(thm)],[])).
% 9.46/6.90 tff(34198,plain,
% 9.46/6.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s246) | (~node4(s246))),
% 9.46/6.90 inference(modus_ponens,[status(thm)],[34197, 34196])).
% 9.46/6.90 tff(34199,plain,
% 9.46/6.90 (m_main_v_request(s246)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34198, 154, 34195])).
% 9.46/6.90 tff(34200,plain,
% 9.46/6.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s246, s247)) | node2(s246, s247))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s246, s247)) | node2(s246, s247))),
% 9.46/6.90 inference(rewrite,[status(thm)],[])).
% 9.46/6.90 tff(34201,plain,
% 9.46/6.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s246, s247)) | node2(s246, s247))),
% 9.46/6.90 inference(quant_inst,[status(thm)],[])).
% 9.46/6.90 tff(34202,plain,
% 9.46/6.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s246, s247)) | node2(s246, s247)),
% 9.46/6.90 inference(modus_ponens,[status(thm)],[34201, 34200])).
% 9.46/6.90 tff(34203,plain,
% 9.46/6.90 (node2(s246, s247)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34202, 7, 5946])).
% 9.46/6.90 tff(34204,plain,
% 9.46/6.90 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s246, c_ready)) | (~node2(s246, s247)) | m_main_v_state(s247, c_busy) | (~m_main_v_request(s246)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s246, c_ready)) | (~node2(s246, s247)) | m_main_v_state(s247, c_busy) | (~m_main_v_request(s246)))),
% 9.46/6.90 inference(rewrite,[status(thm)],[])).
% 9.46/6.90 tff(34205,plain,
% 9.46/6.90 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s246, c_ready)) | (~node2(s246, s247)) | m_main_v_state(s247, c_busy) | (~m_main_v_request(s246)))),
% 9.46/6.90 inference(quant_inst,[status(thm)],[])).
% 9.46/6.90 tff(34206,plain,
% 9.46/6.90 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s246, c_ready)) | (~node2(s246, s247)) | m_main_v_state(s247, c_busy) | (~m_main_v_request(s246))),
% 9.46/6.90 inference(modus_ponens,[status(thm)],[34205, 34204])).
% 9.46/6.90 tff(34207,plain,
% 9.46/6.90 ((~m_main_v_state(s246, c_ready)) | m_main_v_state(s247, c_busy) | (~m_main_v_request(s246))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34206, 191, 34203])).
% 9.46/6.90 tff(34208,plain,
% 9.46/6.90 ($false),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34207, 34199, 34167, 34156])).
% 9.46/6.90 tff(34209,plain,(xuntil6(s246) | (~until5(s245)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.46/6.90 tff(34210,plain,
% 9.46/6.90 (xuntil6(s246)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34209, 33990, 5071])).
% 9.46/6.90 tff(34211,plain,
% 9.46/6.90 (until5(s247)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11421, 34210])).
% 9.46/6.90 tff(34212,assumption,(~xuntil6(s248)), introduced(assumption)).
% 9.46/6.90 tff(34213,assumption,(~always3(s248)), introduced(assumption)).
% 9.46/6.90 tff(34214,plain,
% 9.46/6.90 (~always3(s247)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[5938, 34213])).
% 9.46/6.90 tff(34215,plain,
% 9.46/6.90 (~node4(s247)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11425, 22, 34214])).
% 9.46/6.90 tff(34216,plain,
% 9.46/6.90 (~node4(s248)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11442, 22, 34213])).
% 9.46/6.90 tff(34217,plain,
% 9.46/6.90 (node4(s248) | (~until5(s248))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11449, 36, 34212])).
% 9.46/6.90 tff(34218,plain,
% 9.46/6.90 (~until5(s248)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34217, 34216])).
% 9.46/6.90 tff(34219,plain,
% 9.46/6.90 (~xuntil6(s247)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11438, 34218])).
% 9.46/6.90 tff(34220,plain,
% 9.46/6.90 (~until5(s247)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11432, 36, 34219, 34215])).
% 9.46/6.90 tff(34221,plain,
% 9.46/6.90 (~xuntil6(s246)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11421, 34220])).
% 9.46/6.90 tff(34222,plain,
% 9.46/6.90 (~always3(s246)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[5950, 34214])).
% 9.46/6.90 tff(34223,plain,
% 9.46/6.90 (~node4(s246)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11408, 22, 34222])).
% 9.46/6.90 tff(34224,plain,
% 9.46/6.90 (xuntil6(s246) | (~until5(s246))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11415, 36, 34223])).
% 9.46/6.90 tff(34225,plain,
% 9.46/6.90 (~until5(s246)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34224, 34221])).
% 9.46/6.90 tff(34226,plain,
% 9.46/6.90 (~xuntil6(s245)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11404, 34225])).
% 9.46/6.90 tff(34227,plain,
% 9.46/6.90 (~always3(s245)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[5962, 34222])).
% 9.46/6.90 tff(34228,plain,
% 9.46/6.90 (~node4(s245)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11391, 22, 34227])).
% 9.46/6.90 tff(34229,plain,
% 9.46/6.90 (xuntil6(s245) | (~until5(s245))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11398, 36, 34228])).
% 9.46/6.90 tff(34230,plain,
% 9.46/6.90 (~until5(s245)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34229, 34226])).
% 9.46/6.90 tff(34231,plain,
% 9.46/6.90 (~xuntil6(s244)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11387, 34230])).
% 9.46/6.90 tff(34232,plain,
% 9.46/6.90 (~always3(s244)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[5974, 34227])).
% 9.46/6.90 tff(34233,plain,
% 9.46/6.90 (~node4(s244)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11374, 22, 34232])).
% 9.46/6.90 tff(34234,plain,
% 9.46/6.90 (xuntil6(s244) | (~until5(s244))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11381, 36, 34233])).
% 9.46/6.90 tff(34235,plain,
% 9.46/6.90 (~until5(s244)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34234, 34231])).
% 9.46/6.90 tff(34236,plain,
% 9.46/6.90 (~xuntil6(s243)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11370, 34235])).
% 9.46/6.90 tff(34237,plain,
% 9.46/6.90 (~always3(s243)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[5986, 34232])).
% 9.46/6.90 tff(34238,plain,
% 9.46/6.90 (~node4(s243)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11357, 22, 34237])).
% 9.46/6.90 tff(34239,plain,
% 9.46/6.90 (xuntil6(s243) | (~until5(s243))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11364, 36, 34238])).
% 9.46/6.90 tff(34240,plain,
% 9.46/6.90 (~until5(s243)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34239, 34236])).
% 9.46/6.90 tff(34241,plain,
% 9.46/6.90 (~xuntil6(s242)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11353, 34240])).
% 9.46/6.90 tff(34242,plain,
% 9.46/6.90 (~always3(s242)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[5998, 34237])).
% 9.46/6.90 tff(34243,plain,
% 9.46/6.90 (~node4(s242)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11340, 22, 34242])).
% 9.46/6.90 tff(34244,plain,
% 9.46/6.90 (xuntil6(s242) | (~until5(s242))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11347, 36, 34243])).
% 9.46/6.90 tff(34245,plain,
% 9.46/6.90 (~until5(s242)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34244, 34241])).
% 9.46/6.90 tff(34246,plain,
% 9.46/6.90 (~xuntil6(s241)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11336, 34245])).
% 9.46/6.90 tff(34247,plain,
% 9.46/6.90 (~always3(s241)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6010, 34242])).
% 9.46/6.90 tff(34248,plain,
% 9.46/6.90 (~node4(s241)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11323, 22, 34247])).
% 9.46/6.90 tff(34249,plain,
% 9.46/6.90 (xuntil6(s241) | (~until5(s241))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11330, 36, 34248])).
% 9.46/6.90 tff(34250,plain,
% 9.46/6.90 (~until5(s241)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34249, 34246])).
% 9.46/6.90 tff(34251,plain,
% 9.46/6.90 (~xuntil6(s240)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11319, 34250])).
% 9.46/6.90 tff(34252,plain,
% 9.46/6.90 (~always3(s240)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6022, 34247])).
% 9.46/6.90 tff(34253,plain,
% 9.46/6.90 (~node4(s240)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11306, 22, 34252])).
% 9.46/6.90 tff(34254,plain,
% 9.46/6.90 (xuntil6(s240) | (~until5(s240))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11313, 36, 34253])).
% 9.46/6.90 tff(34255,plain,
% 9.46/6.90 (~until5(s240)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34254, 34251])).
% 9.46/6.90 tff(34256,plain,
% 9.46/6.90 (~xuntil6(s239)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11302, 34255])).
% 9.46/6.90 tff(34257,plain,
% 9.46/6.90 (~always3(s239)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6034, 34252])).
% 9.46/6.90 tff(34258,plain,
% 9.46/6.90 (~node4(s239)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11289, 22, 34257])).
% 9.46/6.90 tff(34259,plain,
% 9.46/6.90 (xuntil6(s239) | (~until5(s239))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11296, 36, 34258])).
% 9.46/6.90 tff(34260,plain,
% 9.46/6.90 (~until5(s239)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34259, 34256])).
% 9.46/6.90 tff(34261,plain,
% 9.46/6.90 (~xuntil6(s238)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11285, 34260])).
% 9.46/6.90 tff(34262,plain,
% 9.46/6.90 (~always3(s238)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6046, 34257])).
% 9.46/6.90 tff(34263,plain,
% 9.46/6.90 (~node4(s238)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11272, 22, 34262])).
% 9.46/6.90 tff(34264,plain,
% 9.46/6.90 (xuntil6(s238) | (~until5(s238))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11279, 36, 34263])).
% 9.46/6.90 tff(34265,plain,
% 9.46/6.90 (~until5(s238)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34264, 34261])).
% 9.46/6.90 tff(34266,plain,
% 9.46/6.90 (~xuntil6(s237)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11268, 34265])).
% 9.46/6.90 tff(34267,plain,
% 9.46/6.90 (~always3(s237)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6058, 34262])).
% 9.46/6.90 tff(34268,plain,
% 9.46/6.90 (~node4(s237)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11255, 22, 34267])).
% 9.46/6.90 tff(34269,plain,
% 9.46/6.90 (xuntil6(s237) | (~until5(s237))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11262, 36, 34268])).
% 9.46/6.90 tff(34270,plain,
% 9.46/6.90 (~until5(s237)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34269, 34266])).
% 9.46/6.90 tff(34271,plain,
% 9.46/6.90 (~xuntil6(s236)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11251, 34270])).
% 9.46/6.90 tff(34272,plain,
% 9.46/6.90 (~always3(s236)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6070, 34267])).
% 9.46/6.90 tff(34273,plain,
% 9.46/6.90 (~node4(s236)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11238, 22, 34272])).
% 9.46/6.90 tff(34274,plain,
% 9.46/6.90 (xuntil6(s236) | (~until5(s236))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11245, 36, 34273])).
% 9.46/6.90 tff(34275,plain,
% 9.46/6.90 (~until5(s236)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34274, 34271])).
% 9.46/6.90 tff(34276,plain,
% 9.46/6.90 (~xuntil6(s235)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11234, 34275])).
% 9.46/6.90 tff(34277,plain,
% 9.46/6.90 (~always3(s235)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6082, 34272])).
% 9.46/6.90 tff(34278,plain,
% 9.46/6.90 (~node4(s235)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11221, 22, 34277])).
% 9.46/6.90 tff(34279,plain,
% 9.46/6.90 (xuntil6(s235) | (~until5(s235))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11228, 36, 34278])).
% 9.46/6.90 tff(34280,plain,
% 9.46/6.90 (~until5(s235)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34279, 34276])).
% 9.46/6.90 tff(34281,plain,
% 9.46/6.90 (~xuntil6(s234)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11217, 34280])).
% 9.46/6.90 tff(34282,plain,
% 9.46/6.90 (~always3(s234)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6094, 34277])).
% 9.46/6.90 tff(34283,plain,
% 9.46/6.90 (~node4(s234)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11204, 22, 34282])).
% 9.46/6.90 tff(34284,plain,
% 9.46/6.90 (xuntil6(s234) | (~until5(s234))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11211, 36, 34283])).
% 9.46/6.90 tff(34285,plain,
% 9.46/6.90 (~until5(s234)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34284, 34281])).
% 9.46/6.90 tff(34286,plain,
% 9.46/6.90 (~xuntil6(s233)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11200, 34285])).
% 9.46/6.90 tff(34287,plain,
% 9.46/6.90 (~always3(s233)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6106, 34282])).
% 9.46/6.90 tff(34288,plain,
% 9.46/6.90 (~node4(s233)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11187, 22, 34287])).
% 9.46/6.90 tff(34289,plain,
% 9.46/6.90 (xuntil6(s233) | (~until5(s233))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11194, 36, 34288])).
% 9.46/6.90 tff(34290,plain,
% 9.46/6.90 (~until5(s233)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34289, 34286])).
% 9.46/6.90 tff(34291,plain,
% 9.46/6.90 (~xuntil6(s232)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11183, 34290])).
% 9.46/6.90 tff(34292,plain,
% 9.46/6.90 (~always3(s232)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6118, 34287])).
% 9.46/6.90 tff(34293,plain,
% 9.46/6.90 (~always3(s231)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6130, 34292])).
% 9.46/6.90 tff(34294,plain,
% 9.46/6.90 (~always3(s230)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6142, 34293])).
% 9.46/6.90 tff(34295,plain,
% 9.46/6.90 (~always3(s229)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6154, 34294])).
% 9.46/6.90 tff(34296,plain,
% 9.46/6.90 (~always3(s228)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6166, 34295])).
% 9.46/6.90 tff(34297,plain,
% 9.46/6.90 (~always3(s227)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6178, 34296])).
% 9.46/6.90 tff(34298,plain,
% 9.46/6.90 (~always3(s226)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6190, 34297])).
% 9.46/6.90 tff(34299,plain,
% 9.46/6.90 (~always3(s225)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6202, 34298])).
% 9.46/6.90 tff(34300,plain,
% 9.46/6.90 (~always3(s224)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6214, 34299])).
% 9.46/6.90 tff(34301,plain,
% 9.46/6.90 (~always3(s223)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6226, 34300])).
% 9.46/6.90 tff(34302,plain,
% 9.46/6.90 (~always3(s222)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6238, 34301])).
% 9.46/6.90 tff(34303,plain,
% 9.46/6.90 (~always3(s221)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6250, 34302])).
% 9.46/6.90 tff(34304,plain,
% 9.46/6.90 (~always3(s220)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6262, 34303])).
% 9.46/6.90 tff(34305,plain,
% 9.46/6.90 (~always3(s219)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6274, 34304])).
% 9.46/6.90 tff(34306,plain,
% 9.46/6.90 (~always3(s218)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6286, 34305])).
% 9.46/6.90 tff(34307,plain,
% 9.46/6.90 (~always3(s217)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6298, 34306])).
% 9.46/6.90 tff(34308,plain,
% 9.46/6.90 (~node4(s217)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6302, 22, 34307])).
% 9.46/6.90 tff(34309,plain,
% 9.46/6.90 (~always3(s216)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6314, 34307])).
% 9.46/6.90 tff(34310,plain,
% 9.46/6.90 (~node4(s216)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6318, 22, 34309])).
% 9.46/6.90 tff(34311,plain,
% 9.46/6.90 (~always3(s215)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[6331, 34309])).
% 9.46/6.90 tff(34312,plain,
% 9.46/6.90 (xuntil6(s215)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10898, 34311, 6320])).
% 9.46/6.90 tff(34313,plain,
% 9.46/6.90 (until5(s216)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10903, 34312])).
% 9.46/6.90 tff(34314,plain,
% 9.46/6.90 (xuntil6(s216) | node4(s216)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10910, 36, 34313])).
% 9.46/6.90 tff(34315,plain,
% 9.46/6.90 (xuntil6(s216)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34314, 34310])).
% 9.46/6.90 tff(34316,plain,
% 9.46/6.90 (until5(s217)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10916, 34315])).
% 9.46/6.90 tff(34317,plain,
% 9.46/6.90 (xuntil6(s217)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10923, 36, 34316, 34308])).
% 9.46/6.90 tff(34318,plain,
% 9.46/6.90 (until5(s218)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10928, 34317])).
% 9.46/6.90 tff(34319,plain,
% 9.46/6.90 (~node4(s218)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10932, 22, 34306])).
% 9.46/6.90 tff(34320,plain,
% 9.46/6.90 (xuntil6(s218) | (~until5(s218))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10939, 36, 34319])).
% 9.46/6.90 tff(34321,plain,
% 9.46/6.90 (xuntil6(s218)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34320, 34318])).
% 9.46/6.90 tff(34322,plain,
% 9.46/6.90 (until5(s219)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10945, 34321])).
% 9.46/6.90 tff(34323,plain,
% 9.46/6.90 (~node4(s219)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10949, 22, 34305])).
% 9.46/6.90 tff(34324,plain,
% 9.46/6.90 (xuntil6(s219) | (~until5(s219))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10956, 36, 34323])).
% 9.46/6.90 tff(34325,plain,
% 9.46/6.90 (xuntil6(s219)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34324, 34322])).
% 9.46/6.90 tff(34326,plain,
% 9.46/6.90 (until5(s220)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10962, 34325])).
% 9.46/6.90 tff(34327,plain,
% 9.46/6.90 (~node4(s220)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10966, 22, 34304])).
% 9.46/6.90 tff(34328,plain,
% 9.46/6.90 (xuntil6(s220) | (~until5(s220))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10973, 36, 34327])).
% 9.46/6.90 tff(34329,plain,
% 9.46/6.90 (xuntil6(s220)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34328, 34326])).
% 9.46/6.90 tff(34330,plain,
% 9.46/6.90 (until5(s221)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10979, 34329])).
% 9.46/6.90 tff(34331,plain,
% 9.46/6.90 (~node4(s221)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10983, 22, 34303])).
% 9.46/6.90 tff(34332,plain,
% 9.46/6.90 (xuntil6(s221) | (~until5(s221))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10990, 36, 34331])).
% 9.46/6.90 tff(34333,plain,
% 9.46/6.90 (xuntil6(s221)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34332, 34330])).
% 9.46/6.90 tff(34334,plain,
% 9.46/6.90 (until5(s222)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[10996, 34333])).
% 9.46/6.90 tff(34335,plain,
% 9.46/6.90 (~node4(s222)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11000, 22, 34302])).
% 9.46/6.90 tff(34336,plain,
% 9.46/6.90 (xuntil6(s222) | (~until5(s222))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11007, 36, 34335])).
% 9.46/6.90 tff(34337,plain,
% 9.46/6.90 (xuntil6(s222)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34336, 34334])).
% 9.46/6.90 tff(34338,plain,
% 9.46/6.90 (until5(s223)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11013, 34337])).
% 9.46/6.90 tff(34339,plain,
% 9.46/6.90 (~node4(s223)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11017, 22, 34301])).
% 9.46/6.90 tff(34340,plain,
% 9.46/6.90 (xuntil6(s223) | (~until5(s223))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11024, 36, 34339])).
% 9.46/6.90 tff(34341,plain,
% 9.46/6.90 (xuntil6(s223)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34340, 34338])).
% 9.46/6.90 tff(34342,plain,
% 9.46/6.90 (until5(s224)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11030, 34341])).
% 9.46/6.90 tff(34343,plain,
% 9.46/6.90 (~node4(s224)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11034, 22, 34300])).
% 9.46/6.90 tff(34344,plain,
% 9.46/6.90 (xuntil6(s224) | (~until5(s224))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11041, 36, 34343])).
% 9.46/6.90 tff(34345,plain,
% 9.46/6.90 (xuntil6(s224)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34344, 34342])).
% 9.46/6.90 tff(34346,plain,
% 9.46/6.90 (until5(s225)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11047, 34345])).
% 9.46/6.90 tff(34347,plain,
% 9.46/6.90 (~node4(s225)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11051, 22, 34299])).
% 9.46/6.90 tff(34348,plain,
% 9.46/6.90 (xuntil6(s225) | (~until5(s225))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11058, 36, 34347])).
% 9.46/6.90 tff(34349,plain,
% 9.46/6.90 (xuntil6(s225)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34348, 34346])).
% 9.46/6.90 tff(34350,plain,
% 9.46/6.90 (until5(s226)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11064, 34349])).
% 9.46/6.90 tff(34351,plain,
% 9.46/6.90 (~node4(s226)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11068, 22, 34298])).
% 9.46/6.90 tff(34352,plain,
% 9.46/6.90 (xuntil6(s226) | (~until5(s226))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11075, 36, 34351])).
% 9.46/6.90 tff(34353,plain,
% 9.46/6.90 (xuntil6(s226)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34352, 34350])).
% 9.46/6.90 tff(34354,plain,
% 9.46/6.90 (until5(s227)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11081, 34353])).
% 9.46/6.90 tff(34355,plain,
% 9.46/6.90 (~node4(s227)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11085, 22, 34297])).
% 9.46/6.90 tff(34356,plain,
% 9.46/6.90 (xuntil6(s227) | (~until5(s227))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11092, 36, 34355])).
% 9.46/6.90 tff(34357,plain,
% 9.46/6.90 (xuntil6(s227)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34356, 34354])).
% 9.46/6.90 tff(34358,plain,
% 9.46/6.90 (until5(s228)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11098, 34357])).
% 9.46/6.90 tff(34359,plain,
% 9.46/6.90 (~node4(s228)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11102, 22, 34296])).
% 9.46/6.90 tff(34360,plain,
% 9.46/6.90 (xuntil6(s228) | (~until5(s228))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11109, 36, 34359])).
% 9.46/6.90 tff(34361,plain,
% 9.46/6.90 (xuntil6(s228)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34360, 34358])).
% 9.46/6.90 tff(34362,plain,
% 9.46/6.90 (until5(s229)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11115, 34361])).
% 9.46/6.90 tff(34363,plain,
% 9.46/6.90 (~node4(s229)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11119, 22, 34295])).
% 9.46/6.90 tff(34364,plain,
% 9.46/6.90 (xuntil6(s229) | (~until5(s229))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11126, 36, 34363])).
% 9.46/6.90 tff(34365,plain,
% 9.46/6.90 (xuntil6(s229)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34364, 34362])).
% 9.46/6.90 tff(34366,plain,
% 9.46/6.90 (until5(s230)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11132, 34365])).
% 9.46/6.90 tff(34367,plain,
% 9.46/6.90 (~node4(s230)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11136, 22, 34294])).
% 9.46/6.90 tff(34368,plain,
% 9.46/6.90 (xuntil6(s230) | (~until5(s230))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11143, 36, 34367])).
% 9.46/6.90 tff(34369,plain,
% 9.46/6.90 (xuntil6(s230)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34368, 34366])).
% 9.46/6.90 tff(34370,plain,
% 9.46/6.90 (until5(s231)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11149, 34369])).
% 9.46/6.90 tff(34371,plain,
% 9.46/6.90 (~node4(s231)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11153, 22, 34293])).
% 9.46/6.90 tff(34372,plain,
% 9.46/6.90 (xuntil6(s231) | (~until5(s231))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11160, 36, 34371])).
% 9.46/6.90 tff(34373,plain,
% 9.46/6.90 (xuntil6(s231)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34372, 34370])).
% 9.46/6.90 tff(34374,plain,
% 9.46/6.90 (until5(s232)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11166, 34373])).
% 9.46/6.90 tff(34375,plain,
% 9.46/6.90 (~node4(s232)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11170, 22, 34292])).
% 9.46/6.90 tff(34376,plain,
% 9.46/6.90 (xuntil6(s232) | (~until5(s232))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11177, 36, 34375])).
% 9.46/6.90 tff(34377,plain,
% 9.46/6.90 ($false),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34376, 34374, 34291])).
% 9.46/6.90 tff(34378,plain,(always3(s248) | xuntil6(s248) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.46/6.90 tff(34379,plain,
% 9.46/6.90 (always3(s248)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34378, 34212, 6320])).
% 9.46/6.90 tff(34380,plain,
% 9.46/6.90 (always3(s249)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[5926, 34379])).
% 9.46/6.90 tff(34381,plain,
% 9.46/6.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s249)) | (~m_main_v_state(s249, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s249)) | (~m_main_v_state(s249, c_busy)))),
% 9.46/6.90 inference(rewrite,[status(thm)],[])).
% 9.46/6.90 tff(34382,plain,
% 9.46/6.90 (((~m_main_v_state(s249, c_busy)) | (~always3(s249))) <=> ((~always3(s249)) | (~m_main_v_state(s249, c_busy)))),
% 9.46/6.90 inference(rewrite,[status(thm)],[])).
% 9.46/6.90 tff(34383,plain,
% 9.46/6.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s249, c_busy)) | (~always3(s249)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s249)) | (~m_main_v_state(s249, c_busy))))),
% 9.46/6.90 inference(monotonicity,[status(thm)],[34382])).
% 9.46/6.90 tff(34384,plain,
% 9.46/6.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s249, c_busy)) | (~always3(s249)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s249)) | (~m_main_v_state(s249, c_busy)))),
% 9.46/6.90 inference(transitivity,[status(thm)],[34383, 34381])).
% 9.46/6.90 tff(34385,plain,
% 9.46/6.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s249, c_busy)) | (~always3(s249)))),
% 9.46/6.90 inference(quant_inst,[status(thm)],[])).
% 9.46/6.90 tff(34386,plain,
% 9.46/6.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s249)) | (~m_main_v_state(s249, c_busy))),
% 9.46/6.90 inference(modus_ponens,[status(thm)],[34385, 34384])).
% 9.46/6.90 tff(34387,plain,
% 9.46/6.90 (~m_main_v_state(s249, c_busy)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34386, 170, 34380])).
% 9.46/6.90 tff(34388,assumption,(until5(s248)), introduced(assumption)).
% 9.46/6.90 tff(34389,plain,
% 9.46/6.90 (xuntil6(s248) | node4(s248)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[11449, 36, 34388])).
% 9.46/6.90 tff(34390,plain,
% 9.46/6.90 (node4(s248)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34389, 34212])).
% 9.46/6.90 tff(34391,plain,
% 9.46/6.90 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s248) | (~node4(s248)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s248) | (~node4(s248)))),
% 9.46/6.90 inference(rewrite,[status(thm)],[])).
% 9.46/6.90 tff(34392,plain,
% 9.46/6.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s248) | (~node4(s248)))),
% 9.46/6.90 inference(quant_inst,[status(thm)],[])).
% 9.46/6.90 tff(34393,plain,
% 9.46/6.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s248) | (~node4(s248))),
% 9.46/6.90 inference(modus_ponens,[status(thm)],[34392, 34391])).
% 9.46/6.90 tff(34394,plain,
% 9.46/6.90 (m_main_v_request(s248)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34393, 154, 34390])).
% 9.46/6.90 tff(34395,plain,
% 9.46/6.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s248, s249)) | node2(s248, s249))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s248, s249)) | node2(s248, s249))),
% 9.46/6.90 inference(rewrite,[status(thm)],[])).
% 9.46/6.90 tff(34396,plain,
% 9.46/6.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s248, s249)) | node2(s248, s249))),
% 9.46/6.90 inference(quant_inst,[status(thm)],[])).
% 9.46/6.90 tff(34397,plain,
% 9.46/6.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s248, s249)) | node2(s248, s249)),
% 9.46/6.90 inference(modus_ponens,[status(thm)],[34396, 34395])).
% 9.46/6.90 tff(34398,plain,
% 9.46/6.90 (node2(s248, s249)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34397, 7, 5922])).
% 9.46/6.90 tff(34399,plain,
% 9.46/6.90 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s248, c_ready)) | (~node2(s248, s249)) | m_main_v_state(s249, c_busy) | (~m_main_v_request(s248)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s248, c_ready)) | (~node2(s248, s249)) | m_main_v_state(s249, c_busy) | (~m_main_v_request(s248)))),
% 9.46/6.90 inference(rewrite,[status(thm)],[])).
% 9.46/6.90 tff(34400,plain,
% 9.46/6.90 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s248, c_ready)) | (~node2(s248, s249)) | m_main_v_state(s249, c_busy) | (~m_main_v_request(s248)))),
% 9.46/6.90 inference(quant_inst,[status(thm)],[])).
% 9.46/6.90 tff(34401,plain,
% 9.46/6.90 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s248, c_ready)) | (~node2(s248, s249)) | m_main_v_state(s249, c_busy) | (~m_main_v_request(s248))),
% 9.46/6.90 inference(modus_ponens,[status(thm)],[34400, 34399])).
% 9.46/6.90 tff(34402,plain,
% 9.46/6.90 ((~m_main_v_state(s248, c_ready)) | m_main_v_state(s249, c_busy) | (~m_main_v_request(s248))),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34401, 191, 34398])).
% 9.46/6.90 tff(34403,plain,
% 9.46/6.90 (~m_main_v_state(s248, c_ready)),
% 9.46/6.90 inference(unit_resolution,[status(thm)],[34402, 34394, 34387])).
% 9.46/6.90 tff(34404,assumption,(~m_main_v_state(s248, c_busy)), introduced(assumption)).
% 9.46/6.90 tff(34405,assumption,(~m_main_v_state(s248, c_ready)), introduced(assumption)).
% 9.46/6.90 tff(34406,plain,
% 9.46/6.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s247, s248)) | node2(s247, s248))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s247, s248)) | node2(s247, s248))),
% 9.46/6.91 inference(rewrite,[status(thm)],[])).
% 9.46/6.91 tff(34407,plain,
% 9.46/6.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s247, s248)) | node2(s247, s248))),
% 9.46/6.91 inference(quant_inst,[status(thm)],[])).
% 9.46/6.91 tff(34408,plain,
% 9.46/6.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s247, s248)) | node2(s247, s248)),
% 9.46/6.91 inference(modus_ponens,[status(thm)],[34407, 34406])).
% 9.46/6.91 tff(34409,plain,
% 9.46/6.91 (node2(s247, s248)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34408, 7, 5934])).
% 9.46/6.91 tff(34410,plain,
% 9.46/6.91 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s247, s248)) | m_main_v_state(s248, c_busy) | node1(s247) | m_main_v_state(s248, 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(s247, s248)) | m_main_v_state(s248, c_busy) | node1(s247) | m_main_v_state(s248, c_ready))),
% 9.46/6.91 inference(rewrite,[status(thm)],[])).
% 9.46/6.91 tff(34411,plain,
% 9.46/6.91 ((node1(s247) | m_main_v_state(s248, c_ready) | (~node2(s247, s248)) | m_main_v_state(s248, c_busy)) <=> ((~node2(s247, s248)) | m_main_v_state(s248, c_busy) | node1(s247) | m_main_v_state(s248, c_ready))),
% 9.46/6.91 inference(rewrite,[status(thm)],[])).
% 9.46/6.91 tff(34412,plain,
% 9.46/6.91 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s247) | m_main_v_state(s248, c_ready) | (~node2(s247, s248)) | m_main_v_state(s248, 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(s247, s248)) | m_main_v_state(s248, c_busy) | node1(s247) | m_main_v_state(s248, c_ready)))),
% 9.46/6.91 inference(monotonicity,[status(thm)],[34411])).
% 9.46/6.91 tff(34413,plain,
% 9.46/6.91 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s247) | m_main_v_state(s248, c_ready) | (~node2(s247, s248)) | m_main_v_state(s248, 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(s247, s248)) | m_main_v_state(s248, c_busy) | node1(s247) | m_main_v_state(s248, c_ready))),
% 9.46/6.91 inference(transitivity,[status(thm)],[34412, 34410])).
% 9.46/6.91 tff(34414,plain,
% 9.46/6.91 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s247) | m_main_v_state(s248, c_ready) | (~node2(s247, s248)) | m_main_v_state(s248, c_busy))),
% 9.46/6.91 inference(quant_inst,[status(thm)],[])).
% 9.46/6.91 tff(34415,plain,
% 9.46/6.91 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s247, s248)) | m_main_v_state(s248, c_busy) | node1(s247) | m_main_v_state(s248, c_ready)),
% 9.46/6.91 inference(modus_ponens,[status(thm)],[34414, 34413])).
% 9.46/6.91 tff(34416,plain,
% 9.46/6.91 (m_main_v_state(s248, c_busy) | node1(s247) | m_main_v_state(s248, c_ready)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34415, 4166, 34409])).
% 9.46/6.91 tff(34417,plain,
% 9.46/6.91 (node1(s247)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34416, 34404, 34405])).
% 9.46/6.91 tff(34418,plain,
% 9.46/6.91 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s247, c_ready) | (~node1(s247)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s247, c_ready) | (~node1(s247)))),
% 9.46/6.91 inference(rewrite,[status(thm)],[])).
% 9.46/6.91 tff(34419,plain,
% 9.46/6.91 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s247, c_ready) | (~node1(s247)))),
% 9.46/6.91 inference(quant_inst,[status(thm)],[])).
% 9.46/6.91 tff(34420,plain,
% 9.46/6.91 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s247, c_ready) | (~node1(s247))),
% 9.46/6.91 inference(modus_ponens,[status(thm)],[34419, 34418])).
% 9.46/6.91 tff(34421,plain,
% 9.46/6.91 (m_main_v_state(s247, c_ready)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34420, 4151, 34417])).
% 9.46/6.91 tff(34422,plain,
% 9.46/6.91 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s247) | (~node1(s247)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s247) | (~node1(s247)))),
% 9.46/6.91 inference(rewrite,[status(thm)],[])).
% 9.46/6.91 tff(34423,plain,
% 9.46/6.91 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s247) | (~node1(s247)))),
% 9.46/6.91 inference(quant_inst,[status(thm)],[])).
% 9.46/6.91 tff(34424,plain,
% 9.46/6.91 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s247) | (~node1(s247))),
% 9.46/6.91 inference(modus_ponens,[status(thm)],[34423, 34422])).
% 9.46/6.91 tff(34425,plain,
% 9.46/6.91 (m_main_v_request(s247)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34424, 14380, 34417])).
% 9.46/6.91 tff(34426,plain,
% 9.46/6.91 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s247, c_ready)) | (~node2(s247, s248)) | m_main_v_state(s248, c_busy) | (~m_main_v_request(s247)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s247, c_ready)) | (~node2(s247, s248)) | m_main_v_state(s248, c_busy) | (~m_main_v_request(s247)))),
% 9.46/6.91 inference(rewrite,[status(thm)],[])).
% 9.46/6.91 tff(34427,plain,
% 9.46/6.91 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s247, c_ready)) | (~node2(s247, s248)) | m_main_v_state(s248, c_busy) | (~m_main_v_request(s247)))),
% 9.46/6.91 inference(quant_inst,[status(thm)],[])).
% 9.46/6.91 tff(34428,plain,
% 9.46/6.91 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s247, c_ready)) | (~node2(s247, s248)) | m_main_v_state(s248, c_busy) | (~m_main_v_request(s247))),
% 9.46/6.91 inference(modus_ponens,[status(thm)],[34427, 34426])).
% 9.46/6.91 tff(34429,plain,
% 9.46/6.91 ((~m_main_v_state(s247, c_ready)) | m_main_v_state(s248, c_busy) | (~m_main_v_request(s247))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34428, 191, 34409])).
% 9.46/6.91 tff(34430,plain,
% 9.46/6.91 ($false),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34429, 34425, 34421, 34404])).
% 9.46/6.91 tff(34431,plain,(m_main_v_state(s248, c_busy) | m_main_v_state(s248, c_ready)), inference(lemma,lemma(discharge,[]))).
% 9.46/6.91 tff(34432,plain,
% 9.46/6.91 (m_main_v_state(s248, c_busy)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34431, 34403])).
% 9.46/6.91 tff(34433,plain,
% 9.46/6.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s248)) | (~m_main_v_state(s248, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s248)) | (~m_main_v_state(s248, c_busy)))),
% 9.46/6.91 inference(rewrite,[status(thm)],[])).
% 9.46/6.91 tff(34434,plain,
% 9.46/6.91 (((~m_main_v_state(s248, c_busy)) | (~always3(s248))) <=> ((~always3(s248)) | (~m_main_v_state(s248, c_busy)))),
% 9.46/6.91 inference(rewrite,[status(thm)],[])).
% 9.46/6.91 tff(34435,plain,
% 9.46/6.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s248, c_busy)) | (~always3(s248)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s248)) | (~m_main_v_state(s248, c_busy))))),
% 9.46/6.91 inference(monotonicity,[status(thm)],[34434])).
% 9.46/6.91 tff(34436,plain,
% 9.46/6.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s248, c_busy)) | (~always3(s248)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s248)) | (~m_main_v_state(s248, c_busy)))),
% 9.46/6.91 inference(transitivity,[status(thm)],[34435, 34433])).
% 9.46/6.91 tff(34437,plain,
% 9.46/6.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s248, c_busy)) | (~always3(s248)))),
% 9.46/6.91 inference(quant_inst,[status(thm)],[])).
% 9.46/6.91 tff(34438,plain,
% 9.46/6.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s248)) | (~m_main_v_state(s248, c_busy))),
% 9.46/6.91 inference(modus_ponens,[status(thm)],[34437, 34436])).
% 9.46/6.91 tff(34439,plain,
% 9.46/6.91 ($false),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34438, 170, 34379, 34432])).
% 9.46/6.91 tff(34440,plain,(xuntil6(s248) | (~until5(s248)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.46/6.91 tff(34441,plain,
% 9.46/6.91 (~until5(s248)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34440, 34212, 6320])).
% 9.46/6.91 tff(34442,plain,
% 9.46/6.91 (~xuntil6(s247)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11438, 34441])).
% 9.46/6.91 tff(34443,assumption,(until5(s247)), introduced(assumption)).
% 9.46/6.91 tff(34444,plain,
% 9.46/6.91 (xuntil6(s247) | node4(s247)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11432, 36, 34443])).
% 9.46/6.91 tff(34445,plain,
% 9.46/6.91 (node4(s247)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34444, 34442])).
% 9.46/6.91 tff(34446,assumption,(node4(s247)), introduced(assumption)).
% 9.46/6.91 tff(34447,plain,
% 9.46/6.91 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s247) | (~node4(s247)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s247) | (~node4(s247)))),
% 9.46/6.91 inference(rewrite,[status(thm)],[])).
% 9.46/6.91 tff(34448,plain,
% 9.46/6.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s247) | (~node4(s247)))),
% 9.46/6.91 inference(quant_inst,[status(thm)],[])).
% 9.46/6.91 tff(34449,plain,
% 9.46/6.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s247) | (~node4(s247))),
% 9.46/6.91 inference(modus_ponens,[status(thm)],[34448, 34447])).
% 9.46/6.91 tff(34450,plain,
% 9.46/6.91 (m_main_v_request(s247)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34449, 154, 34446])).
% 9.46/6.91 tff(34451,plain,
% 9.46/6.91 (~m_main_v_state(s247, c_ready)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34429, 34450, 34404])).
% 9.46/6.91 tff(34452,plain,
% 9.46/6.91 (always3(s247)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11425, 22, 34446])).
% 9.46/6.91 tff(34453,plain,
% 9.46/6.91 (~m_main_v_state(s247, c_busy)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34155, 170, 34452])).
% 9.46/6.91 tff(34454,plain,
% 9.46/6.91 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s247, c_busy) | m_main_v_state(s247, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s247, c_busy) | m_main_v_state(s247, c_ready))),
% 9.46/6.91 inference(rewrite,[status(thm)],[])).
% 9.46/6.91 tff(34455,plain,
% 9.46/6.91 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s247, c_busy) | m_main_v_state(s247, c_ready))),
% 9.46/6.91 inference(quant_inst,[status(thm)],[])).
% 9.46/6.91 tff(34456,plain,
% 9.46/6.91 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s247, c_busy) | m_main_v_state(s247, c_ready)),
% 9.46/6.91 inference(modus_ponens,[status(thm)],[34455, 34454])).
% 9.46/6.91 tff(34457,plain,
% 9.46/6.91 ($false),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34456, 213, 34453, 34451])).
% 9.46/6.91 tff(34458,plain,((~node4(s247)) | m_main_v_state(s248, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.46/6.91 tff(34459,plain,
% 9.46/6.91 (m_main_v_state(s248, c_busy)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34458, 34445])).
% 9.46/6.91 tff(34460,plain,
% 9.46/6.91 ($false),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34438, 170, 34379, 34459])).
% 9.46/6.91 tff(34461,plain,(xuntil6(s248) | (~until5(s247)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.46/6.91 tff(34462,plain,
% 9.46/6.91 (xuntil6(s248)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34461, 34211, 5071])).
% 9.46/6.91 tff(34463,plain,
% 9.46/6.91 (until5(s249)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11455, 34462])).
% 9.46/6.91 tff(34464,assumption,(~xuntil6(s250)), introduced(assumption)).
% 9.46/6.91 tff(34465,assumption,(~always3(s250)), introduced(assumption)).
% 9.46/6.91 tff(34466,plain,
% 9.46/6.91 (~always3(s249)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[5914, 34465])).
% 9.46/6.91 tff(34467,plain,
% 9.46/6.91 (~node4(s249)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11459, 22, 34466])).
% 9.46/6.91 tff(34468,plain,
% 9.46/6.91 (~node4(s250)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11476, 22, 34465])).
% 9.46/6.91 tff(34469,plain,
% 9.46/6.91 (node4(s250) | (~until5(s250))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11483, 36, 34464])).
% 9.46/6.91 tff(34470,plain,
% 9.46/6.91 (~until5(s250)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34469, 34468])).
% 9.46/6.91 tff(34471,plain,
% 9.46/6.91 (~xuntil6(s249)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11472, 34470])).
% 9.46/6.91 tff(34472,plain,
% 9.46/6.91 (~until5(s249)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11466, 36, 34471, 34467])).
% 9.46/6.91 tff(34473,plain,
% 9.46/6.91 (~xuntil6(s248)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11455, 34472])).
% 9.46/6.91 tff(34474,plain,
% 9.46/6.91 (~always3(s248)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[5926, 34466])).
% 9.46/6.91 tff(34475,plain,
% 9.46/6.91 (~node4(s248)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11442, 22, 34474])).
% 9.46/6.91 tff(34476,plain,
% 9.46/6.91 (xuntil6(s248) | (~until5(s248))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11449, 36, 34475])).
% 9.46/6.91 tff(34477,plain,
% 9.46/6.91 (~until5(s248)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34476, 34473])).
% 9.46/6.91 tff(34478,plain,
% 9.46/6.91 (~xuntil6(s247)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11438, 34477])).
% 9.46/6.91 tff(34479,plain,
% 9.46/6.91 (~always3(s247)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[5938, 34474])).
% 9.46/6.91 tff(34480,plain,
% 9.46/6.91 (~node4(s247)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11425, 22, 34479])).
% 9.46/6.91 tff(34481,plain,
% 9.46/6.91 (xuntil6(s247) | (~until5(s247))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11432, 36, 34480])).
% 9.46/6.91 tff(34482,plain,
% 9.46/6.91 (~until5(s247)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34481, 34478])).
% 9.46/6.91 tff(34483,plain,
% 9.46/6.91 (~xuntil6(s246)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11421, 34482])).
% 9.46/6.91 tff(34484,plain,
% 9.46/6.91 (~always3(s246)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[5950, 34479])).
% 9.46/6.91 tff(34485,plain,
% 9.46/6.91 (~node4(s246)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11408, 22, 34484])).
% 9.46/6.91 tff(34486,plain,
% 9.46/6.91 (xuntil6(s246) | (~until5(s246))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11415, 36, 34485])).
% 9.46/6.91 tff(34487,plain,
% 9.46/6.91 (~until5(s246)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34486, 34483])).
% 9.46/6.91 tff(34488,plain,
% 9.46/6.91 (~xuntil6(s245)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11404, 34487])).
% 9.46/6.91 tff(34489,plain,
% 9.46/6.91 (~always3(s245)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[5962, 34484])).
% 9.46/6.91 tff(34490,plain,
% 9.46/6.91 (~node4(s245)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11391, 22, 34489])).
% 9.46/6.91 tff(34491,plain,
% 9.46/6.91 (xuntil6(s245) | (~until5(s245))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11398, 36, 34490])).
% 9.46/6.91 tff(34492,plain,
% 9.46/6.91 (~until5(s245)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34491, 34488])).
% 9.46/6.91 tff(34493,plain,
% 9.46/6.91 (~xuntil6(s244)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11387, 34492])).
% 9.46/6.91 tff(34494,plain,
% 9.46/6.91 (~always3(s244)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[5974, 34489])).
% 9.46/6.91 tff(34495,plain,
% 9.46/6.91 (~node4(s244)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11374, 22, 34494])).
% 9.46/6.91 tff(34496,plain,
% 9.46/6.91 (xuntil6(s244) | (~until5(s244))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11381, 36, 34495])).
% 9.46/6.91 tff(34497,plain,
% 9.46/6.91 (~until5(s244)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34496, 34493])).
% 9.46/6.91 tff(34498,plain,
% 9.46/6.91 (~xuntil6(s243)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11370, 34497])).
% 9.46/6.91 tff(34499,plain,
% 9.46/6.91 (~always3(s243)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[5986, 34494])).
% 9.46/6.91 tff(34500,plain,
% 9.46/6.91 (~node4(s243)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11357, 22, 34499])).
% 9.46/6.91 tff(34501,plain,
% 9.46/6.91 (xuntil6(s243) | (~until5(s243))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11364, 36, 34500])).
% 9.46/6.91 tff(34502,plain,
% 9.46/6.91 (~until5(s243)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34501, 34498])).
% 9.46/6.91 tff(34503,plain,
% 9.46/6.91 (~xuntil6(s242)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11353, 34502])).
% 9.46/6.91 tff(34504,plain,
% 9.46/6.91 (~always3(s242)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[5998, 34499])).
% 9.46/6.91 tff(34505,plain,
% 9.46/6.91 (~node4(s242)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11340, 22, 34504])).
% 9.46/6.91 tff(34506,plain,
% 9.46/6.91 (xuntil6(s242) | (~until5(s242))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11347, 36, 34505])).
% 9.46/6.91 tff(34507,plain,
% 9.46/6.91 (~until5(s242)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34506, 34503])).
% 9.46/6.91 tff(34508,plain,
% 9.46/6.91 (~xuntil6(s241)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11336, 34507])).
% 9.46/6.91 tff(34509,plain,
% 9.46/6.91 (~always3(s241)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6010, 34504])).
% 9.46/6.91 tff(34510,plain,
% 9.46/6.91 (~node4(s241)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11323, 22, 34509])).
% 9.46/6.91 tff(34511,plain,
% 9.46/6.91 (xuntil6(s241) | (~until5(s241))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11330, 36, 34510])).
% 9.46/6.91 tff(34512,plain,
% 9.46/6.91 (~until5(s241)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34511, 34508])).
% 9.46/6.91 tff(34513,plain,
% 9.46/6.91 (~xuntil6(s240)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11319, 34512])).
% 9.46/6.91 tff(34514,plain,
% 9.46/6.91 (~always3(s240)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6022, 34509])).
% 9.46/6.91 tff(34515,plain,
% 9.46/6.91 (~node4(s240)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11306, 22, 34514])).
% 9.46/6.91 tff(34516,plain,
% 9.46/6.91 (xuntil6(s240) | (~until5(s240))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11313, 36, 34515])).
% 9.46/6.91 tff(34517,plain,
% 9.46/6.91 (~until5(s240)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34516, 34513])).
% 9.46/6.91 tff(34518,plain,
% 9.46/6.91 (~xuntil6(s239)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11302, 34517])).
% 9.46/6.91 tff(34519,plain,
% 9.46/6.91 (~always3(s239)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6034, 34514])).
% 9.46/6.91 tff(34520,plain,
% 9.46/6.91 (~node4(s239)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11289, 22, 34519])).
% 9.46/6.91 tff(34521,plain,
% 9.46/6.91 (xuntil6(s239) | (~until5(s239))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11296, 36, 34520])).
% 9.46/6.91 tff(34522,plain,
% 9.46/6.91 (~until5(s239)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34521, 34518])).
% 9.46/6.91 tff(34523,plain,
% 9.46/6.91 (~xuntil6(s238)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11285, 34522])).
% 9.46/6.91 tff(34524,plain,
% 9.46/6.91 (~always3(s238)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6046, 34519])).
% 9.46/6.91 tff(34525,plain,
% 9.46/6.91 (~node4(s238)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11272, 22, 34524])).
% 9.46/6.91 tff(34526,plain,
% 9.46/6.91 (xuntil6(s238) | (~until5(s238))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11279, 36, 34525])).
% 9.46/6.91 tff(34527,plain,
% 9.46/6.91 (~until5(s238)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34526, 34523])).
% 9.46/6.91 tff(34528,plain,
% 9.46/6.91 (~xuntil6(s237)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11268, 34527])).
% 9.46/6.91 tff(34529,plain,
% 9.46/6.91 (~always3(s237)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6058, 34524])).
% 9.46/6.91 tff(34530,plain,
% 9.46/6.91 (~node4(s237)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11255, 22, 34529])).
% 9.46/6.91 tff(34531,plain,
% 9.46/6.91 (xuntil6(s237) | (~until5(s237))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11262, 36, 34530])).
% 9.46/6.91 tff(34532,plain,
% 9.46/6.91 (~until5(s237)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34531, 34528])).
% 9.46/6.91 tff(34533,plain,
% 9.46/6.91 (~xuntil6(s236)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11251, 34532])).
% 9.46/6.91 tff(34534,plain,
% 9.46/6.91 (~always3(s236)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6070, 34529])).
% 9.46/6.91 tff(34535,plain,
% 9.46/6.91 (~node4(s236)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11238, 22, 34534])).
% 9.46/6.91 tff(34536,plain,
% 9.46/6.91 (xuntil6(s236) | (~until5(s236))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11245, 36, 34535])).
% 9.46/6.91 tff(34537,plain,
% 9.46/6.91 (~until5(s236)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34536, 34533])).
% 9.46/6.91 tff(34538,plain,
% 9.46/6.91 (~xuntil6(s235)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11234, 34537])).
% 9.46/6.91 tff(34539,plain,
% 9.46/6.91 (~always3(s235)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6082, 34534])).
% 9.46/6.91 tff(34540,plain,
% 9.46/6.91 (~node4(s235)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11221, 22, 34539])).
% 9.46/6.91 tff(34541,plain,
% 9.46/6.91 (xuntil6(s235) | (~until5(s235))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11228, 36, 34540])).
% 9.46/6.91 tff(34542,plain,
% 9.46/6.91 (~until5(s235)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34541, 34538])).
% 9.46/6.91 tff(34543,plain,
% 9.46/6.91 (~xuntil6(s234)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11217, 34542])).
% 9.46/6.91 tff(34544,plain,
% 9.46/6.91 (~always3(s234)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6094, 34539])).
% 9.46/6.91 tff(34545,plain,
% 9.46/6.91 (~node4(s234)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11204, 22, 34544])).
% 9.46/6.91 tff(34546,plain,
% 9.46/6.91 (xuntil6(s234) | (~until5(s234))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11211, 36, 34545])).
% 9.46/6.91 tff(34547,plain,
% 9.46/6.91 (~until5(s234)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34546, 34543])).
% 9.46/6.91 tff(34548,plain,
% 9.46/6.91 (~xuntil6(s233)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11200, 34547])).
% 9.46/6.91 tff(34549,plain,
% 9.46/6.91 (~always3(s233)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6106, 34544])).
% 9.46/6.91 tff(34550,plain,
% 9.46/6.91 (~always3(s232)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6118, 34549])).
% 9.46/6.91 tff(34551,plain,
% 9.46/6.91 (~always3(s231)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6130, 34550])).
% 9.46/6.91 tff(34552,plain,
% 9.46/6.91 (~always3(s230)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6142, 34551])).
% 9.46/6.91 tff(34553,plain,
% 9.46/6.91 (~always3(s229)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6154, 34552])).
% 9.46/6.91 tff(34554,plain,
% 9.46/6.91 (~always3(s228)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6166, 34553])).
% 9.46/6.91 tff(34555,plain,
% 9.46/6.91 (~always3(s227)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6178, 34554])).
% 9.46/6.91 tff(34556,plain,
% 9.46/6.91 (~always3(s226)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6190, 34555])).
% 9.46/6.91 tff(34557,plain,
% 9.46/6.91 (~always3(s225)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6202, 34556])).
% 9.46/6.91 tff(34558,plain,
% 9.46/6.91 (~always3(s224)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6214, 34557])).
% 9.46/6.91 tff(34559,plain,
% 9.46/6.91 (~always3(s223)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6226, 34558])).
% 9.46/6.91 tff(34560,plain,
% 9.46/6.91 (~always3(s222)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6238, 34559])).
% 9.46/6.91 tff(34561,plain,
% 9.46/6.91 (~always3(s221)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6250, 34560])).
% 9.46/6.91 tff(34562,plain,
% 9.46/6.91 (~always3(s220)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6262, 34561])).
% 9.46/6.91 tff(34563,plain,
% 9.46/6.91 (~always3(s219)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6274, 34562])).
% 9.46/6.91 tff(34564,plain,
% 9.46/6.91 (~always3(s218)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6286, 34563])).
% 9.46/6.91 tff(34565,plain,
% 9.46/6.91 (~always3(s217)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6298, 34564])).
% 9.46/6.91 tff(34566,plain,
% 9.46/6.91 (~node4(s217)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6302, 22, 34565])).
% 9.46/6.91 tff(34567,plain,
% 9.46/6.91 (~always3(s216)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6314, 34565])).
% 9.46/6.91 tff(34568,plain,
% 9.46/6.91 (~node4(s216)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6318, 22, 34567])).
% 9.46/6.91 tff(34569,plain,
% 9.46/6.91 (~always3(s215)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[6331, 34567])).
% 9.46/6.91 tff(34570,plain,
% 9.46/6.91 (xuntil6(s215)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[10898, 34569, 6320])).
% 9.46/6.91 tff(34571,plain,
% 9.46/6.91 (until5(s216)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[10903, 34570])).
% 9.46/6.91 tff(34572,plain,
% 9.46/6.91 (xuntil6(s216) | node4(s216)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[10910, 36, 34571])).
% 9.46/6.91 tff(34573,plain,
% 9.46/6.91 (xuntil6(s216)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34572, 34568])).
% 9.46/6.91 tff(34574,plain,
% 9.46/6.91 (until5(s217)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[10916, 34573])).
% 9.46/6.91 tff(34575,plain,
% 9.46/6.91 (xuntil6(s217)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[10923, 36, 34574, 34566])).
% 9.46/6.91 tff(34576,plain,
% 9.46/6.91 (until5(s218)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[10928, 34575])).
% 9.46/6.91 tff(34577,plain,
% 9.46/6.91 (~node4(s218)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[10932, 22, 34564])).
% 9.46/6.91 tff(34578,plain,
% 9.46/6.91 (xuntil6(s218) | (~until5(s218))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[10939, 36, 34577])).
% 9.46/6.91 tff(34579,plain,
% 9.46/6.91 (xuntil6(s218)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34578, 34576])).
% 9.46/6.91 tff(34580,plain,
% 9.46/6.91 (until5(s219)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[10945, 34579])).
% 9.46/6.91 tff(34581,plain,
% 9.46/6.91 (~node4(s219)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[10949, 22, 34563])).
% 9.46/6.91 tff(34582,plain,
% 9.46/6.91 (xuntil6(s219) | (~until5(s219))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[10956, 36, 34581])).
% 9.46/6.91 tff(34583,plain,
% 9.46/6.91 (xuntil6(s219)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34582, 34580])).
% 9.46/6.91 tff(34584,plain,
% 9.46/6.91 (until5(s220)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[10962, 34583])).
% 9.46/6.91 tff(34585,plain,
% 9.46/6.91 (~node4(s220)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[10966, 22, 34562])).
% 9.46/6.91 tff(34586,plain,
% 9.46/6.91 (xuntil6(s220) | (~until5(s220))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[10973, 36, 34585])).
% 9.46/6.91 tff(34587,plain,
% 9.46/6.91 (xuntil6(s220)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34586, 34584])).
% 9.46/6.91 tff(34588,plain,
% 9.46/6.91 (until5(s221)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[10979, 34587])).
% 9.46/6.91 tff(34589,plain,
% 9.46/6.91 (~node4(s221)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[10983, 22, 34561])).
% 9.46/6.91 tff(34590,plain,
% 9.46/6.91 (xuntil6(s221) | (~until5(s221))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[10990, 36, 34589])).
% 9.46/6.91 tff(34591,plain,
% 9.46/6.91 (xuntil6(s221)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34590, 34588])).
% 9.46/6.91 tff(34592,plain,
% 9.46/6.91 (until5(s222)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[10996, 34591])).
% 9.46/6.91 tff(34593,plain,
% 9.46/6.91 (~node4(s222)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11000, 22, 34560])).
% 9.46/6.91 tff(34594,plain,
% 9.46/6.91 (xuntil6(s222) | (~until5(s222))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11007, 36, 34593])).
% 9.46/6.91 tff(34595,plain,
% 9.46/6.91 (xuntil6(s222)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34594, 34592])).
% 9.46/6.91 tff(34596,plain,
% 9.46/6.91 (until5(s223)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11013, 34595])).
% 9.46/6.91 tff(34597,plain,
% 9.46/6.91 (~node4(s223)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11017, 22, 34559])).
% 9.46/6.91 tff(34598,plain,
% 9.46/6.91 (xuntil6(s223) | (~until5(s223))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11024, 36, 34597])).
% 9.46/6.91 tff(34599,plain,
% 9.46/6.91 (xuntil6(s223)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34598, 34596])).
% 9.46/6.91 tff(34600,plain,
% 9.46/6.91 (until5(s224)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11030, 34599])).
% 9.46/6.91 tff(34601,plain,
% 9.46/6.91 (~node4(s224)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11034, 22, 34558])).
% 9.46/6.91 tff(34602,plain,
% 9.46/6.91 (xuntil6(s224) | (~until5(s224))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11041, 36, 34601])).
% 9.46/6.91 tff(34603,plain,
% 9.46/6.91 (xuntil6(s224)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34602, 34600])).
% 9.46/6.91 tff(34604,plain,
% 9.46/6.91 (until5(s225)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11047, 34603])).
% 9.46/6.91 tff(34605,plain,
% 9.46/6.91 (~node4(s225)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11051, 22, 34557])).
% 9.46/6.91 tff(34606,plain,
% 9.46/6.91 (xuntil6(s225) | (~until5(s225))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11058, 36, 34605])).
% 9.46/6.91 tff(34607,plain,
% 9.46/6.91 (xuntil6(s225)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34606, 34604])).
% 9.46/6.91 tff(34608,plain,
% 9.46/6.91 (until5(s226)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11064, 34607])).
% 9.46/6.91 tff(34609,plain,
% 9.46/6.91 (~node4(s226)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11068, 22, 34556])).
% 9.46/6.91 tff(34610,plain,
% 9.46/6.91 (xuntil6(s226) | (~until5(s226))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11075, 36, 34609])).
% 9.46/6.91 tff(34611,plain,
% 9.46/6.91 (xuntil6(s226)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34610, 34608])).
% 9.46/6.91 tff(34612,plain,
% 9.46/6.91 (until5(s227)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11081, 34611])).
% 9.46/6.91 tff(34613,plain,
% 9.46/6.91 (~node4(s227)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11085, 22, 34555])).
% 9.46/6.91 tff(34614,plain,
% 9.46/6.91 (xuntil6(s227) | (~until5(s227))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11092, 36, 34613])).
% 9.46/6.91 tff(34615,plain,
% 9.46/6.91 (xuntil6(s227)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34614, 34612])).
% 9.46/6.91 tff(34616,plain,
% 9.46/6.91 (until5(s228)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11098, 34615])).
% 9.46/6.91 tff(34617,plain,
% 9.46/6.91 (~node4(s228)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11102, 22, 34554])).
% 9.46/6.91 tff(34618,plain,
% 9.46/6.91 (xuntil6(s228) | (~until5(s228))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11109, 36, 34617])).
% 9.46/6.91 tff(34619,plain,
% 9.46/6.91 (xuntil6(s228)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34618, 34616])).
% 9.46/6.91 tff(34620,plain,
% 9.46/6.91 (until5(s229)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11115, 34619])).
% 9.46/6.91 tff(34621,plain,
% 9.46/6.91 (~node4(s229)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11119, 22, 34553])).
% 9.46/6.91 tff(34622,plain,
% 9.46/6.91 (xuntil6(s229) | (~until5(s229))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11126, 36, 34621])).
% 9.46/6.91 tff(34623,plain,
% 9.46/6.91 (xuntil6(s229)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34622, 34620])).
% 9.46/6.91 tff(34624,plain,
% 9.46/6.91 (until5(s230)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11132, 34623])).
% 9.46/6.91 tff(34625,plain,
% 9.46/6.91 (~node4(s230)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11136, 22, 34552])).
% 9.46/6.91 tff(34626,plain,
% 9.46/6.91 (xuntil6(s230) | (~until5(s230))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11143, 36, 34625])).
% 9.46/6.91 tff(34627,plain,
% 9.46/6.91 (xuntil6(s230)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34626, 34624])).
% 9.46/6.91 tff(34628,plain,
% 9.46/6.91 (until5(s231)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11149, 34627])).
% 9.46/6.91 tff(34629,plain,
% 9.46/6.91 (~node4(s231)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11153, 22, 34551])).
% 9.46/6.91 tff(34630,plain,
% 9.46/6.91 (xuntil6(s231) | (~until5(s231))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11160, 36, 34629])).
% 9.46/6.91 tff(34631,plain,
% 9.46/6.91 (xuntil6(s231)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34630, 34628])).
% 9.46/6.91 tff(34632,plain,
% 9.46/6.91 (until5(s232)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11166, 34631])).
% 9.46/6.91 tff(34633,plain,
% 9.46/6.91 (~node4(s232)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11170, 22, 34550])).
% 9.46/6.91 tff(34634,plain,
% 9.46/6.91 (xuntil6(s232) | (~until5(s232))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11177, 36, 34633])).
% 9.46/6.91 tff(34635,plain,
% 9.46/6.91 (xuntil6(s232)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34634, 34632])).
% 9.46/6.91 tff(34636,plain,
% 9.46/6.91 (until5(s233)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11183, 34635])).
% 9.46/6.91 tff(34637,plain,
% 9.46/6.91 (~node4(s233)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11187, 22, 34549])).
% 9.46/6.91 tff(34638,plain,
% 9.46/6.91 (xuntil6(s233) | (~until5(s233))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11194, 36, 34637])).
% 9.46/6.91 tff(34639,plain,
% 9.46/6.91 ($false),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34638, 34636, 34548])).
% 9.46/6.91 tff(34640,plain,(always3(s250) | xuntil6(s250) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.46/6.91 tff(34641,plain,
% 9.46/6.91 (always3(s250)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34640, 34464, 6320])).
% 9.46/6.91 tff(34642,plain,
% 9.46/6.91 (always3(s251)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[5902, 34641])).
% 9.46/6.91 tff(34643,plain,
% 9.46/6.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s251)) | (~m_main_v_state(s251, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s251)) | (~m_main_v_state(s251, c_busy)))),
% 9.46/6.91 inference(rewrite,[status(thm)],[])).
% 9.46/6.91 tff(34644,plain,
% 9.46/6.91 (((~m_main_v_state(s251, c_busy)) | (~always3(s251))) <=> ((~always3(s251)) | (~m_main_v_state(s251, c_busy)))),
% 9.46/6.91 inference(rewrite,[status(thm)],[])).
% 9.46/6.91 tff(34645,plain,
% 9.46/6.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s251, c_busy)) | (~always3(s251)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s251)) | (~m_main_v_state(s251, c_busy))))),
% 9.46/6.91 inference(monotonicity,[status(thm)],[34644])).
% 9.46/6.91 tff(34646,plain,
% 9.46/6.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s251, c_busy)) | (~always3(s251)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s251)) | (~m_main_v_state(s251, c_busy)))),
% 9.46/6.91 inference(transitivity,[status(thm)],[34645, 34643])).
% 9.46/6.91 tff(34647,plain,
% 9.46/6.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s251, c_busy)) | (~always3(s251)))),
% 9.46/6.91 inference(quant_inst,[status(thm)],[])).
% 9.46/6.91 tff(34648,plain,
% 9.46/6.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s251)) | (~m_main_v_state(s251, c_busy))),
% 9.46/6.91 inference(modus_ponens,[status(thm)],[34647, 34646])).
% 9.46/6.91 tff(34649,plain,
% 9.46/6.91 (~m_main_v_state(s251, c_busy)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34648, 170, 34642])).
% 9.46/6.91 tff(34650,plain,
% 9.46/6.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s250)) | (~m_main_v_state(s250, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s250)) | (~m_main_v_state(s250, c_busy)))),
% 9.46/6.91 inference(rewrite,[status(thm)],[])).
% 9.46/6.91 tff(34651,plain,
% 9.46/6.91 (((~m_main_v_state(s250, c_busy)) | (~always3(s250))) <=> ((~always3(s250)) | (~m_main_v_state(s250, c_busy)))),
% 9.46/6.91 inference(rewrite,[status(thm)],[])).
% 9.46/6.91 tff(34652,plain,
% 9.46/6.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s250, c_busy)) | (~always3(s250)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s250)) | (~m_main_v_state(s250, c_busy))))),
% 9.46/6.91 inference(monotonicity,[status(thm)],[34651])).
% 9.46/6.91 tff(34653,plain,
% 9.46/6.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s250, c_busy)) | (~always3(s250)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s250)) | (~m_main_v_state(s250, c_busy)))),
% 9.46/6.91 inference(transitivity,[status(thm)],[34652, 34650])).
% 9.46/6.91 tff(34654,plain,
% 9.46/6.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s250, c_busy)) | (~always3(s250)))),
% 9.46/6.91 inference(quant_inst,[status(thm)],[])).
% 9.46/6.91 tff(34655,plain,
% 9.46/6.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s250)) | (~m_main_v_state(s250, c_busy))),
% 9.46/6.91 inference(modus_ponens,[status(thm)],[34654, 34653])).
% 9.46/6.91 tff(34656,plain,
% 9.46/6.91 (~m_main_v_state(s250, c_busy)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34655, 170, 34641])).
% 9.46/6.91 tff(34657,plain,
% 9.46/6.91 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s250, c_busy) | m_main_v_state(s250, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s250, c_busy) | m_main_v_state(s250, c_ready))),
% 9.46/6.91 inference(rewrite,[status(thm)],[])).
% 9.46/6.91 tff(34658,plain,
% 9.46/6.91 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s250, c_busy) | m_main_v_state(s250, c_ready))),
% 9.46/6.91 inference(quant_inst,[status(thm)],[])).
% 9.46/6.91 tff(34659,plain,
% 9.46/6.91 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s250, c_busy) | m_main_v_state(s250, c_ready)),
% 9.46/6.91 inference(modus_ponens,[status(thm)],[34658, 34657])).
% 9.46/6.91 tff(34660,plain,
% 9.46/6.91 (m_main_v_state(s250, c_ready)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34659, 213, 34656])).
% 9.46/6.91 tff(34661,assumption,(~m_main_v_state(s250, c_busy)), introduced(assumption)).
% 9.46/6.91 tff(34662,assumption,(node4(s249)), introduced(assumption)).
% 9.46/6.91 tff(34663,plain,
% 9.46/6.91 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s249) | (~node4(s249)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s249) | (~node4(s249)))),
% 9.46/6.91 inference(rewrite,[status(thm)],[])).
% 9.46/6.91 tff(34664,plain,
% 9.46/6.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s249) | (~node4(s249)))),
% 9.46/6.91 inference(quant_inst,[status(thm)],[])).
% 9.46/6.91 tff(34665,plain,
% 9.46/6.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s249) | (~node4(s249))),
% 9.46/6.91 inference(modus_ponens,[status(thm)],[34664, 34663])).
% 9.46/6.91 tff(34666,plain,
% 9.46/6.91 (m_main_v_request(s249)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34665, 154, 34662])).
% 9.46/6.91 tff(34667,plain,
% 9.46/6.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s249, s250)) | node2(s249, s250))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s249, s250)) | node2(s249, s250))),
% 9.46/6.91 inference(rewrite,[status(thm)],[])).
% 9.46/6.91 tff(34668,plain,
% 9.46/6.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s249, s250)) | node2(s249, s250))),
% 9.46/6.91 inference(quant_inst,[status(thm)],[])).
% 9.46/6.91 tff(34669,plain,
% 9.46/6.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s249, s250)) | node2(s249, s250)),
% 9.46/6.91 inference(modus_ponens,[status(thm)],[34668, 34667])).
% 9.46/6.91 tff(34670,plain,
% 9.46/6.91 (node2(s249, s250)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34669, 7, 5910])).
% 9.46/6.91 tff(34671,plain,
% 9.46/6.91 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s249, c_ready)) | (~node2(s249, s250)) | m_main_v_state(s250, c_busy) | (~m_main_v_request(s249)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s249, c_ready)) | (~node2(s249, s250)) | m_main_v_state(s250, c_busy) | (~m_main_v_request(s249)))),
% 9.46/6.91 inference(rewrite,[status(thm)],[])).
% 9.46/6.91 tff(34672,plain,
% 9.46/6.91 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s249, c_ready)) | (~node2(s249, s250)) | m_main_v_state(s250, c_busy) | (~m_main_v_request(s249)))),
% 9.46/6.91 inference(quant_inst,[status(thm)],[])).
% 9.46/6.91 tff(34673,plain,
% 9.46/6.91 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s249, c_ready)) | (~node2(s249, s250)) | m_main_v_state(s250, c_busy) | (~m_main_v_request(s249))),
% 9.46/6.91 inference(modus_ponens,[status(thm)],[34672, 34671])).
% 9.46/6.91 tff(34674,plain,
% 9.46/6.91 ((~m_main_v_state(s249, c_ready)) | m_main_v_state(s250, c_busy) | (~m_main_v_request(s249))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34673, 191, 34670])).
% 9.46/6.91 tff(34675,plain,
% 9.46/6.91 (~m_main_v_state(s249, c_ready)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34674, 34666, 34661])).
% 9.46/6.91 tff(34676,plain,
% 9.46/6.91 (always3(s249)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11459, 22, 34662])).
% 9.46/6.91 tff(34677,plain,
% 9.46/6.91 (~m_main_v_state(s249, c_busy)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34386, 170, 34676])).
% 9.46/6.91 tff(34678,plain,
% 9.46/6.91 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s249, c_busy) | m_main_v_state(s249, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s249, c_busy) | m_main_v_state(s249, c_ready))),
% 9.46/6.91 inference(rewrite,[status(thm)],[])).
% 9.46/6.91 tff(34679,plain,
% 9.46/6.91 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s249, c_busy) | m_main_v_state(s249, c_ready))),
% 9.46/6.91 inference(quant_inst,[status(thm)],[])).
% 9.46/6.91 tff(34680,plain,
% 9.46/6.91 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s249, c_busy) | m_main_v_state(s249, c_ready)),
% 9.46/6.91 inference(modus_ponens,[status(thm)],[34679, 34678])).
% 9.46/6.91 tff(34681,plain,
% 9.46/6.91 ($false),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34680, 213, 34677, 34675])).
% 9.46/6.91 tff(34682,plain,((~node4(s249)) | m_main_v_state(s250, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.46/6.91 tff(34683,plain,
% 9.46/6.91 (~node4(s249)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34682, 34656])).
% 9.46/6.91 tff(34684,assumption,(until5(s249)), introduced(assumption)).
% 9.46/6.91 tff(34685,plain,
% 9.46/6.91 (xuntil6(s249) | node4(s249)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11466, 36, 34684])).
% 9.46/6.91 tff(34686,plain,
% 9.46/6.91 (xuntil6(s249)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34685, 34683])).
% 9.46/6.91 tff(34687,plain,
% 9.46/6.91 (until5(s250)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11472, 34686])).
% 9.46/6.91 tff(34688,plain,
% 9.46/6.91 (node4(s250)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34469, 34687])).
% 9.46/6.91 tff(34689,plain,
% 9.46/6.91 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s250) | (~node4(s250)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s250) | (~node4(s250)))),
% 9.46/6.91 inference(rewrite,[status(thm)],[])).
% 9.46/6.91 tff(34690,plain,
% 9.46/6.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s250) | (~node4(s250)))),
% 9.46/6.91 inference(quant_inst,[status(thm)],[])).
% 9.46/6.91 tff(34691,plain,
% 9.46/6.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s250) | (~node4(s250))),
% 9.46/6.91 inference(modus_ponens,[status(thm)],[34690, 34689])).
% 9.46/6.91 tff(34692,plain,
% 9.46/6.91 (m_main_v_request(s250)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34691, 154, 34688])).
% 9.46/6.91 tff(34693,plain,
% 9.46/6.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s250, s251)) | node2(s250, s251))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s250, s251)) | node2(s250, s251))),
% 9.46/6.91 inference(rewrite,[status(thm)],[])).
% 9.46/6.91 tff(34694,plain,
% 9.46/6.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s250, s251)) | node2(s250, s251))),
% 9.46/6.91 inference(quant_inst,[status(thm)],[])).
% 9.46/6.91 tff(34695,plain,
% 9.46/6.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s250, s251)) | node2(s250, s251)),
% 9.46/6.91 inference(modus_ponens,[status(thm)],[34694, 34693])).
% 9.46/6.91 tff(34696,plain,
% 9.46/6.91 (node2(s250, s251)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34695, 7, 5898])).
% 9.46/6.91 tff(34697,plain,
% 9.46/6.91 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s250, c_ready)) | (~node2(s250, s251)) | m_main_v_state(s251, c_busy) | (~m_main_v_request(s250)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s250, c_ready)) | (~node2(s250, s251)) | m_main_v_state(s251, c_busy) | (~m_main_v_request(s250)))),
% 9.46/6.91 inference(rewrite,[status(thm)],[])).
% 9.46/6.91 tff(34698,plain,
% 9.46/6.91 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s250, c_ready)) | (~node2(s250, s251)) | m_main_v_state(s251, c_busy) | (~m_main_v_request(s250)))),
% 9.46/6.91 inference(quant_inst,[status(thm)],[])).
% 9.46/6.91 tff(34699,plain,
% 9.46/6.91 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s250, c_ready)) | (~node2(s250, s251)) | m_main_v_state(s251, c_busy) | (~m_main_v_request(s250))),
% 9.46/6.91 inference(modus_ponens,[status(thm)],[34698, 34697])).
% 9.46/6.91 tff(34700,plain,
% 9.46/6.91 ((~m_main_v_state(s250, c_ready)) | m_main_v_state(s251, c_busy) | (~m_main_v_request(s250))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34699, 191, 34696])).
% 9.46/6.91 tff(34701,plain,
% 9.46/6.91 ($false),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34700, 34692, 34660, 34649])).
% 9.46/6.91 tff(34702,plain,(xuntil6(s250) | (~until5(s249)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.46/6.91 tff(34703,plain,
% 9.46/6.91 (xuntil6(s250)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34702, 34463, 5071])).
% 9.46/6.91 tff(34704,plain,
% 9.46/6.91 (until5(s251)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11489, 34703])).
% 9.46/6.91 tff(34705,assumption,(~xuntil6(s252)), introduced(assumption)).
% 9.46/6.91 tff(34706,assumption,(until5(s251)), introduced(assumption)).
% 9.46/6.91 tff(34707,assumption,(~always3(s252)), introduced(assumption)).
% 9.46/6.91 tff(34708,plain,
% 9.46/6.91 (~node4(s252)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11510, 22, 34707])).
% 9.46/6.91 tff(34709,plain,
% 9.46/6.91 (node4(s252) | (~until5(s252))),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11517, 36, 34705])).
% 9.46/6.91 tff(34710,plain,
% 9.46/6.91 (~until5(s252)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34709, 34708])).
% 9.46/6.91 tff(34711,plain,
% 9.46/6.91 (~always3(s251)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[5890, 34707])).
% 9.46/6.91 tff(34712,plain,
% 9.46/6.91 (~node4(s251)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11493, 22, 34711])).
% 9.46/6.91 tff(34713,plain,
% 9.46/6.91 (xuntil6(s251) | node4(s251)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11500, 36, 34706])).
% 9.46/6.91 tff(34714,plain,
% 9.46/6.91 (xuntil6(s251)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34713, 34712])).
% 9.46/6.91 tff(34715,plain,
% 9.46/6.91 ($false),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[11506, 34714, 34710])).
% 9.46/6.91 tff(34716,plain,(always3(s252) | (~until5(s251)) | xuntil6(s252)), inference(lemma,lemma(discharge,[]))).
% 9.46/6.91 tff(34717,plain,
% 9.46/6.91 (always3(s252)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34716, 34706, 34705])).
% 9.46/6.91 tff(34718,plain,
% 9.46/6.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s252)) | (~m_main_v_state(s252, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s252)) | (~m_main_v_state(s252, c_busy)))),
% 9.46/6.91 inference(rewrite,[status(thm)],[])).
% 9.46/6.91 tff(34719,plain,
% 9.46/6.91 (((~m_main_v_state(s252, c_busy)) | (~always3(s252))) <=> ((~always3(s252)) | (~m_main_v_state(s252, c_busy)))),
% 9.46/6.91 inference(rewrite,[status(thm)],[])).
% 9.46/6.91 tff(34720,plain,
% 9.46/6.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s252, c_busy)) | (~always3(s252)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s252)) | (~m_main_v_state(s252, c_busy))))),
% 9.46/6.91 inference(monotonicity,[status(thm)],[34719])).
% 9.46/6.91 tff(34721,plain,
% 9.46/6.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s252, c_busy)) | (~always3(s252)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s252)) | (~m_main_v_state(s252, c_busy)))),
% 9.46/6.91 inference(transitivity,[status(thm)],[34720, 34718])).
% 9.46/6.91 tff(34722,plain,
% 9.46/6.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s252, c_busy)) | (~always3(s252)))),
% 9.46/6.91 inference(quant_inst,[status(thm)],[])).
% 9.46/6.91 tff(34723,plain,
% 9.46/6.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s252)) | (~m_main_v_state(s252, c_busy))),
% 9.46/6.91 inference(modus_ponens,[status(thm)],[34722, 34721])).
% 9.46/6.91 tff(34724,plain,
% 9.46/6.91 (~m_main_v_state(s252, c_busy)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[34723, 170, 34717])).
% 9.46/6.91 tff(34725,plain,
% 9.46/6.91 (always3(s253)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[5878, 34717])).
% 9.46/6.91 tff(34726,plain,
% 9.46/6.91 (~m_main_v_state(s253, c_busy)),
% 9.46/6.91 inference(unit_resolution,[status(thm)],[5115, 170, 34725])).
% 9.46/6.92 tff(34727,plain,
% 9.46/6.92 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s252, c_busy) | m_main_v_state(s252, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s252, c_busy) | m_main_v_state(s252, c_ready))),
% 9.46/6.92 inference(rewrite,[status(thm)],[])).
% 9.46/6.92 tff(34728,plain,
% 9.46/6.92 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s252, c_busy) | m_main_v_state(s252, c_ready))),
% 9.46/6.92 inference(quant_inst,[status(thm)],[])).
% 9.46/6.92 tff(34729,plain,
% 9.46/6.92 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s252, c_busy) | m_main_v_state(s252, c_ready)),
% 9.46/6.92 inference(modus_ponens,[status(thm)],[34728, 34727])).
% 9.46/6.92 tff(34730,plain,
% 9.46/6.92 (m_main_v_state(s252, c_ready)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34729, 213, 34724])).
% 9.46/6.92 tff(34731,plain,
% 9.46/6.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s252, s253)) | node2(s252, s253))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s252, s253)) | node2(s252, s253))),
% 9.46/6.92 inference(rewrite,[status(thm)],[])).
% 9.46/6.92 tff(34732,plain,
% 9.46/6.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s252, s253)) | node2(s252, s253))),
% 9.46/6.92 inference(quant_inst,[status(thm)],[])).
% 9.46/6.92 tff(34733,plain,
% 9.46/6.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s252, s253)) | node2(s252, s253)),
% 9.46/6.92 inference(modus_ponens,[status(thm)],[34732, 34731])).
% 9.46/6.92 tff(34734,plain,
% 9.46/6.92 (node2(s252, s253)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34733, 7, 5874])).
% 9.46/6.92 tff(34735,plain,
% 9.46/6.92 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s252, c_ready)) | (~node2(s252, s253)) | m_main_v_state(s253, c_busy) | (~m_main_v_request(s252)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s252, c_ready)) | (~node2(s252, s253)) | m_main_v_state(s253, c_busy) | (~m_main_v_request(s252)))),
% 9.46/6.92 inference(rewrite,[status(thm)],[])).
% 9.46/6.92 tff(34736,plain,
% 9.46/6.92 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s252, c_ready)) | (~node2(s252, s253)) | m_main_v_state(s253, c_busy) | (~m_main_v_request(s252)))),
% 9.46/6.92 inference(quant_inst,[status(thm)],[])).
% 9.46/6.92 tff(34737,plain,
% 9.46/6.92 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s252, c_ready)) | (~node2(s252, s253)) | m_main_v_state(s253, c_busy) | (~m_main_v_request(s252))),
% 9.46/6.92 inference(modus_ponens,[status(thm)],[34736, 34735])).
% 9.46/6.92 tff(34738,plain,
% 9.46/6.92 ((~m_main_v_state(s252, c_ready)) | m_main_v_state(s253, c_busy) | (~m_main_v_request(s252))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34737, 191, 34734])).
% 9.46/6.92 tff(34739,plain,
% 9.46/6.92 (~m_main_v_request(s252)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34738, 34730, 34726])).
% 9.46/6.92 tff(34740,plain,
% 9.46/6.92 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s252) | (~node4(s252)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s252) | (~node4(s252)))),
% 9.46/6.92 inference(rewrite,[status(thm)],[])).
% 9.46/6.92 tff(34741,plain,
% 9.46/6.92 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s252) | (~node4(s252)))),
% 9.46/6.92 inference(quant_inst,[status(thm)],[])).
% 9.46/6.92 tff(34742,plain,
% 9.46/6.92 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s252) | (~node4(s252))),
% 9.46/6.92 inference(modus_ponens,[status(thm)],[34741, 34740])).
% 9.46/6.92 tff(34743,plain,
% 9.46/6.92 (~node4(s252)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34742, 154, 34739])).
% 9.46/6.92 tff(34744,plain,
% 9.46/6.92 (~until5(s252)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34709, 34743])).
% 9.46/6.92 tff(34745,plain,
% 9.46/6.92 (~xuntil6(s251)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11506, 34744])).
% 9.46/6.92 tff(34746,plain,
% 9.46/6.92 (node4(s251)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34713, 34745])).
% 9.46/6.92 tff(34747,plain,
% 9.46/6.92 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s251) | (~node4(s251)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s251) | (~node4(s251)))),
% 9.46/6.92 inference(rewrite,[status(thm)],[])).
% 9.46/6.92 tff(34748,plain,
% 9.46/6.92 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s251) | (~node4(s251)))),
% 9.46/6.92 inference(quant_inst,[status(thm)],[])).
% 9.46/6.92 tff(34749,plain,
% 9.46/6.92 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s251) | (~node4(s251))),
% 9.46/6.92 inference(modus_ponens,[status(thm)],[34748, 34747])).
% 9.46/6.92 tff(34750,plain,
% 9.46/6.92 (m_main_v_request(s251)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34749, 154, 34746])).
% 9.46/6.92 tff(34751,plain,
% 9.46/6.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s251, s252)) | node2(s251, s252))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s251, s252)) | node2(s251, s252))),
% 9.46/6.92 inference(rewrite,[status(thm)],[])).
% 9.46/6.92 tff(34752,plain,
% 9.46/6.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s251, s252)) | node2(s251, s252))),
% 9.46/6.92 inference(quant_inst,[status(thm)],[])).
% 9.46/6.92 tff(34753,plain,
% 9.46/6.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s251, s252)) | node2(s251, s252)),
% 9.46/6.92 inference(modus_ponens,[status(thm)],[34752, 34751])).
% 9.46/6.92 tff(34754,plain,
% 9.46/6.92 (node2(s251, s252)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34753, 7, 5886])).
% 9.46/6.92 tff(34755,plain,
% 9.46/6.92 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s251, c_ready)) | (~node2(s251, s252)) | m_main_v_state(s252, c_busy) | (~m_main_v_request(s251)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s251, c_ready)) | (~node2(s251, s252)) | m_main_v_state(s252, c_busy) | (~m_main_v_request(s251)))),
% 9.46/6.92 inference(rewrite,[status(thm)],[])).
% 9.46/6.92 tff(34756,plain,
% 9.46/6.92 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s251, c_ready)) | (~node2(s251, s252)) | m_main_v_state(s252, c_busy) | (~m_main_v_request(s251)))),
% 9.46/6.92 inference(quant_inst,[status(thm)],[])).
% 9.46/6.92 tff(34757,plain,
% 9.46/6.92 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s251, c_ready)) | (~node2(s251, s252)) | m_main_v_state(s252, c_busy) | (~m_main_v_request(s251))),
% 9.46/6.92 inference(modus_ponens,[status(thm)],[34756, 34755])).
% 9.46/6.92 tff(34758,plain,
% 9.46/6.92 ((~m_main_v_state(s251, c_ready)) | m_main_v_state(s252, c_busy) | (~m_main_v_request(s251))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34757, 191, 34754])).
% 9.46/6.92 tff(34759,plain,
% 9.46/6.92 (~m_main_v_state(s251, c_ready)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34758, 34750, 34724])).
% 9.46/6.92 tff(34760,plain,
% 9.46/6.92 (always3(s251)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11493, 22, 34746])).
% 9.46/6.92 tff(34761,plain,
% 9.46/6.92 (~m_main_v_state(s251, c_busy)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34648, 170, 34760])).
% 9.46/6.92 tff(34762,plain,
% 9.46/6.92 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s251, c_busy) | m_main_v_state(s251, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s251, c_busy) | m_main_v_state(s251, c_ready))),
% 9.46/6.92 inference(rewrite,[status(thm)],[])).
% 9.46/6.92 tff(34763,plain,
% 9.46/6.92 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s251, c_busy) | m_main_v_state(s251, c_ready))),
% 9.46/6.92 inference(quant_inst,[status(thm)],[])).
% 9.46/6.92 tff(34764,plain,
% 9.46/6.92 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s251, c_busy) | m_main_v_state(s251, c_ready)),
% 9.46/6.92 inference(modus_ponens,[status(thm)],[34763, 34762])).
% 9.46/6.92 tff(34765,plain,
% 9.46/6.92 ($false),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34764, 213, 34761, 34759])).
% 9.46/6.92 tff(34766,plain,((~until5(s251)) | xuntil6(s252)), inference(lemma,lemma(discharge,[]))).
% 9.46/6.92 tff(34767,plain,
% 9.46/6.92 (xuntil6(s252)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34766, 34704])).
% 9.46/6.92 tff(34768,plain,
% 9.46/6.92 (until5(s253)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11523, 34767])).
% 9.46/6.92 tff(34769,assumption,(~xuntil6(s254)), introduced(assumption)).
% 9.46/6.92 tff(34770,assumption,(~always3(s254)), introduced(assumption)).
% 9.46/6.92 tff(34771,plain,
% 9.46/6.92 (~always3(s253)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5092, 34770])).
% 9.46/6.92 tff(34772,plain,
% 9.46/6.92 (~always3(s252)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5878, 34771])).
% 9.46/6.92 tff(34773,plain,
% 9.46/6.92 (~node4(s252)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11510, 22, 34772])).
% 9.46/6.92 tff(34774,plain,
% 9.46/6.92 (~node4(s254)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11541, 22, 34770])).
% 9.46/6.92 tff(34775,plain,
% 9.46/6.92 (node4(s254) | (~until5(s254))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11548, 36, 34769])).
% 9.46/6.92 tff(34776,plain,
% 9.46/6.92 (~until5(s254)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34775, 34774])).
% 9.46/6.92 tff(34777,plain,
% 9.46/6.92 (~xuntil6(s253)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11537, 34776])).
% 9.46/6.92 tff(34778,plain,
% 9.46/6.92 (~until5(s253)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11532, 34777])).
% 9.46/6.92 tff(34779,plain,
% 9.46/6.92 (~xuntil6(s252)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11523, 34778])).
% 9.46/6.92 tff(34780,plain,
% 9.46/6.92 (~until5(s252)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11517, 36, 34779, 34773])).
% 9.46/6.92 tff(34781,plain,
% 9.46/6.92 (~xuntil6(s251)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11506, 34780])).
% 9.46/6.92 tff(34782,plain,
% 9.46/6.92 (~always3(s251)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5890, 34772])).
% 9.46/6.92 tff(34783,plain,
% 9.46/6.92 (~node4(s251)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11493, 22, 34782])).
% 9.46/6.92 tff(34784,plain,
% 9.46/6.92 (xuntil6(s251) | (~until5(s251))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11500, 36, 34783])).
% 9.46/6.92 tff(34785,plain,
% 9.46/6.92 (~until5(s251)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34784, 34781])).
% 9.46/6.92 tff(34786,plain,
% 9.46/6.92 (~xuntil6(s250)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11489, 34785])).
% 9.46/6.92 tff(34787,plain,
% 9.46/6.92 (~always3(s250)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5902, 34782])).
% 9.46/6.92 tff(34788,plain,
% 9.46/6.92 (~node4(s250)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11476, 22, 34787])).
% 9.46/6.92 tff(34789,plain,
% 9.46/6.92 (xuntil6(s250) | (~until5(s250))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11483, 36, 34788])).
% 9.46/6.92 tff(34790,plain,
% 9.46/6.92 (~until5(s250)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34789, 34786])).
% 9.46/6.92 tff(34791,plain,
% 9.46/6.92 (~xuntil6(s249)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11472, 34790])).
% 9.46/6.92 tff(34792,plain,
% 9.46/6.92 (~always3(s249)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5914, 34787])).
% 9.46/6.92 tff(34793,plain,
% 9.46/6.92 (~node4(s249)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11459, 22, 34792])).
% 9.46/6.92 tff(34794,plain,
% 9.46/6.92 (xuntil6(s249) | (~until5(s249))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11466, 36, 34793])).
% 9.46/6.92 tff(34795,plain,
% 9.46/6.92 (~until5(s249)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34794, 34791])).
% 9.46/6.92 tff(34796,plain,
% 9.46/6.92 (~xuntil6(s248)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11455, 34795])).
% 9.46/6.92 tff(34797,plain,
% 9.46/6.92 (~always3(s248)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5926, 34792])).
% 9.46/6.92 tff(34798,plain,
% 9.46/6.92 (~node4(s248)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11442, 22, 34797])).
% 9.46/6.92 tff(34799,plain,
% 9.46/6.92 (xuntil6(s248) | (~until5(s248))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11449, 36, 34798])).
% 9.46/6.92 tff(34800,plain,
% 9.46/6.92 (~until5(s248)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34799, 34796])).
% 9.46/6.92 tff(34801,plain,
% 9.46/6.92 (~xuntil6(s247)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11438, 34800])).
% 9.46/6.92 tff(34802,plain,
% 9.46/6.92 (~always3(s247)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5938, 34797])).
% 9.46/6.92 tff(34803,plain,
% 9.46/6.92 (~node4(s247)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11425, 22, 34802])).
% 9.46/6.92 tff(34804,plain,
% 9.46/6.92 (xuntil6(s247) | (~until5(s247))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11432, 36, 34803])).
% 9.46/6.92 tff(34805,plain,
% 9.46/6.92 (~until5(s247)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34804, 34801])).
% 9.46/6.92 tff(34806,plain,
% 9.46/6.92 (~xuntil6(s246)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11421, 34805])).
% 9.46/6.92 tff(34807,plain,
% 9.46/6.92 (~always3(s246)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5950, 34802])).
% 9.46/6.92 tff(34808,plain,
% 9.46/6.92 (~node4(s246)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11408, 22, 34807])).
% 9.46/6.92 tff(34809,plain,
% 9.46/6.92 (xuntil6(s246) | (~until5(s246))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11415, 36, 34808])).
% 9.46/6.92 tff(34810,plain,
% 9.46/6.92 (~until5(s246)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34809, 34806])).
% 9.46/6.92 tff(34811,plain,
% 9.46/6.92 (~xuntil6(s245)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11404, 34810])).
% 9.46/6.92 tff(34812,plain,
% 9.46/6.92 (~always3(s245)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5962, 34807])).
% 9.46/6.92 tff(34813,plain,
% 9.46/6.92 (~node4(s245)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11391, 22, 34812])).
% 9.46/6.92 tff(34814,plain,
% 9.46/6.92 (xuntil6(s245) | (~until5(s245))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11398, 36, 34813])).
% 9.46/6.92 tff(34815,plain,
% 9.46/6.92 (~until5(s245)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34814, 34811])).
% 9.46/6.92 tff(34816,plain,
% 9.46/6.92 (~xuntil6(s244)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11387, 34815])).
% 9.46/6.92 tff(34817,plain,
% 9.46/6.92 (~always3(s244)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5974, 34812])).
% 9.46/6.92 tff(34818,plain,
% 9.46/6.92 (~node4(s244)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11374, 22, 34817])).
% 9.46/6.92 tff(34819,plain,
% 9.46/6.92 (xuntil6(s244) | (~until5(s244))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11381, 36, 34818])).
% 9.46/6.92 tff(34820,plain,
% 9.46/6.92 (~until5(s244)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34819, 34816])).
% 9.46/6.92 tff(34821,plain,
% 9.46/6.92 (~xuntil6(s243)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11370, 34820])).
% 9.46/6.92 tff(34822,plain,
% 9.46/6.92 (~always3(s243)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5986, 34817])).
% 9.46/6.92 tff(34823,plain,
% 9.46/6.92 (~node4(s243)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11357, 22, 34822])).
% 9.46/6.92 tff(34824,plain,
% 9.46/6.92 (xuntil6(s243) | (~until5(s243))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11364, 36, 34823])).
% 9.46/6.92 tff(34825,plain,
% 9.46/6.92 (~until5(s243)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34824, 34821])).
% 9.46/6.92 tff(34826,plain,
% 9.46/6.92 (~xuntil6(s242)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11353, 34825])).
% 9.46/6.92 tff(34827,plain,
% 9.46/6.92 (~always3(s242)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5998, 34822])).
% 9.46/6.92 tff(34828,plain,
% 9.46/6.92 (~node4(s242)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11340, 22, 34827])).
% 9.46/6.92 tff(34829,plain,
% 9.46/6.92 (xuntil6(s242) | (~until5(s242))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11347, 36, 34828])).
% 9.46/6.92 tff(34830,plain,
% 9.46/6.92 (~until5(s242)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34829, 34826])).
% 9.46/6.92 tff(34831,plain,
% 9.46/6.92 (~xuntil6(s241)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11336, 34830])).
% 9.46/6.92 tff(34832,plain,
% 9.46/6.92 (~always3(s241)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6010, 34827])).
% 9.46/6.92 tff(34833,plain,
% 9.46/6.92 (~node4(s241)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11323, 22, 34832])).
% 9.46/6.92 tff(34834,plain,
% 9.46/6.92 (xuntil6(s241) | (~until5(s241))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11330, 36, 34833])).
% 9.46/6.92 tff(34835,plain,
% 9.46/6.92 (~until5(s241)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34834, 34831])).
% 9.46/6.92 tff(34836,plain,
% 9.46/6.92 (~xuntil6(s240)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11319, 34835])).
% 9.46/6.92 tff(34837,plain,
% 9.46/6.92 (~always3(s240)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6022, 34832])).
% 9.46/6.92 tff(34838,plain,
% 9.46/6.92 (~node4(s240)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11306, 22, 34837])).
% 9.46/6.92 tff(34839,plain,
% 9.46/6.92 (xuntil6(s240) | (~until5(s240))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11313, 36, 34838])).
% 9.46/6.92 tff(34840,plain,
% 9.46/6.92 (~until5(s240)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34839, 34836])).
% 9.46/6.92 tff(34841,plain,
% 9.46/6.92 (~xuntil6(s239)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11302, 34840])).
% 9.46/6.92 tff(34842,plain,
% 9.46/6.92 (~always3(s239)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6034, 34837])).
% 9.46/6.92 tff(34843,plain,
% 9.46/6.92 (~node4(s239)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11289, 22, 34842])).
% 9.46/6.92 tff(34844,plain,
% 9.46/6.92 (xuntil6(s239) | (~until5(s239))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11296, 36, 34843])).
% 9.46/6.92 tff(34845,plain,
% 9.46/6.92 (~until5(s239)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34844, 34841])).
% 9.46/6.92 tff(34846,plain,
% 9.46/6.92 (~xuntil6(s238)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11285, 34845])).
% 9.46/6.92 tff(34847,plain,
% 9.46/6.92 (~always3(s238)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6046, 34842])).
% 9.46/6.92 tff(34848,plain,
% 9.46/6.92 (~node4(s238)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11272, 22, 34847])).
% 9.46/6.92 tff(34849,plain,
% 9.46/6.92 (xuntil6(s238) | (~until5(s238))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11279, 36, 34848])).
% 9.46/6.92 tff(34850,plain,
% 9.46/6.92 (~until5(s238)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34849, 34846])).
% 9.46/6.92 tff(34851,plain,
% 9.46/6.92 (~xuntil6(s237)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11268, 34850])).
% 9.46/6.92 tff(34852,plain,
% 9.46/6.92 (~always3(s237)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6058, 34847])).
% 9.46/6.92 tff(34853,plain,
% 9.46/6.92 (~node4(s237)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11255, 22, 34852])).
% 9.46/6.92 tff(34854,plain,
% 9.46/6.92 (xuntil6(s237) | (~until5(s237))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11262, 36, 34853])).
% 9.46/6.92 tff(34855,plain,
% 9.46/6.92 (~until5(s237)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34854, 34851])).
% 9.46/6.92 tff(34856,plain,
% 9.46/6.92 (~xuntil6(s236)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11251, 34855])).
% 9.46/6.92 tff(34857,plain,
% 9.46/6.92 (~always3(s236)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6070, 34852])).
% 9.46/6.92 tff(34858,plain,
% 9.46/6.92 (~node4(s236)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11238, 22, 34857])).
% 9.46/6.92 tff(34859,plain,
% 9.46/6.92 (xuntil6(s236) | (~until5(s236))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11245, 36, 34858])).
% 9.46/6.92 tff(34860,plain,
% 9.46/6.92 (~until5(s236)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34859, 34856])).
% 9.46/6.92 tff(34861,plain,
% 9.46/6.92 (~xuntil6(s235)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11234, 34860])).
% 9.46/6.92 tff(34862,plain,
% 9.46/6.92 (~always3(s235)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6082, 34857])).
% 9.46/6.92 tff(34863,plain,
% 9.46/6.92 (~node4(s235)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11221, 22, 34862])).
% 9.46/6.92 tff(34864,plain,
% 9.46/6.92 (xuntil6(s235) | (~until5(s235))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11228, 36, 34863])).
% 9.46/6.92 tff(34865,plain,
% 9.46/6.92 (~until5(s235)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34864, 34861])).
% 9.46/6.92 tff(34866,plain,
% 9.46/6.92 (~always3(s234)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6094, 34862])).
% 9.46/6.92 tff(34867,plain,
% 9.46/6.92 (~always3(s233)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6106, 34866])).
% 9.46/6.92 tff(34868,plain,
% 9.46/6.92 (~always3(s232)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6118, 34867])).
% 9.46/6.92 tff(34869,plain,
% 9.46/6.92 (~always3(s231)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6130, 34868])).
% 9.46/6.92 tff(34870,plain,
% 9.46/6.92 (~always3(s230)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6142, 34869])).
% 9.46/6.92 tff(34871,plain,
% 9.46/6.92 (~always3(s229)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6154, 34870])).
% 9.46/6.92 tff(34872,plain,
% 9.46/6.92 (~always3(s228)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6166, 34871])).
% 9.46/6.92 tff(34873,plain,
% 9.46/6.92 (~always3(s227)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6178, 34872])).
% 9.46/6.92 tff(34874,plain,
% 9.46/6.92 (~always3(s226)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6190, 34873])).
% 9.46/6.92 tff(34875,plain,
% 9.46/6.92 (~always3(s225)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6202, 34874])).
% 9.46/6.92 tff(34876,plain,
% 9.46/6.92 (~always3(s224)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6214, 34875])).
% 9.46/6.92 tff(34877,plain,
% 9.46/6.92 (~always3(s223)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6226, 34876])).
% 9.46/6.92 tff(34878,plain,
% 9.46/6.92 (~always3(s222)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6238, 34877])).
% 9.46/6.92 tff(34879,plain,
% 9.46/6.92 (~always3(s221)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6250, 34878])).
% 9.46/6.92 tff(34880,plain,
% 9.46/6.92 (~always3(s220)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6262, 34879])).
% 9.46/6.92 tff(34881,plain,
% 9.46/6.92 (~always3(s219)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6274, 34880])).
% 9.46/6.92 tff(34882,plain,
% 9.46/6.92 (~always3(s218)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6286, 34881])).
% 9.46/6.92 tff(34883,plain,
% 9.46/6.92 (~always3(s217)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6298, 34882])).
% 9.46/6.92 tff(34884,plain,
% 9.46/6.92 (~node4(s217)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6302, 22, 34883])).
% 9.46/6.92 tff(34885,plain,
% 9.46/6.92 (~always3(s216)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6314, 34883])).
% 9.46/6.92 tff(34886,plain,
% 9.46/6.92 (~node4(s216)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6318, 22, 34885])).
% 9.46/6.92 tff(34887,plain,
% 9.46/6.92 (~always3(s215)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6331, 34885])).
% 9.46/6.92 tff(34888,plain,
% 9.46/6.92 (xuntil6(s215)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10898, 34887, 6320])).
% 9.46/6.92 tff(34889,plain,
% 9.46/6.92 (until5(s216)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10903, 34888])).
% 9.46/6.92 tff(34890,plain,
% 9.46/6.92 (xuntil6(s216) | node4(s216)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10910, 36, 34889])).
% 9.46/6.92 tff(34891,plain,
% 9.46/6.92 (xuntil6(s216)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34890, 34886])).
% 9.46/6.92 tff(34892,plain,
% 9.46/6.92 (until5(s217)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10916, 34891])).
% 9.46/6.92 tff(34893,plain,
% 9.46/6.92 (xuntil6(s217)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10923, 36, 34892, 34884])).
% 9.46/6.92 tff(34894,plain,
% 9.46/6.92 (until5(s218)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10928, 34893])).
% 9.46/6.92 tff(34895,plain,
% 9.46/6.92 (~node4(s218)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10932, 22, 34882])).
% 9.46/6.92 tff(34896,plain,
% 9.46/6.92 (xuntil6(s218) | (~until5(s218))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10939, 36, 34895])).
% 9.46/6.92 tff(34897,plain,
% 9.46/6.92 (xuntil6(s218)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34896, 34894])).
% 9.46/6.92 tff(34898,plain,
% 9.46/6.92 (until5(s219)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10945, 34897])).
% 9.46/6.92 tff(34899,plain,
% 9.46/6.92 (~node4(s219)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10949, 22, 34881])).
% 9.46/6.92 tff(34900,plain,
% 9.46/6.92 (xuntil6(s219) | (~until5(s219))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10956, 36, 34899])).
% 9.46/6.92 tff(34901,plain,
% 9.46/6.92 (xuntil6(s219)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34900, 34898])).
% 9.46/6.92 tff(34902,plain,
% 9.46/6.92 (until5(s220)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10962, 34901])).
% 9.46/6.92 tff(34903,plain,
% 9.46/6.92 (~node4(s220)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10966, 22, 34880])).
% 9.46/6.92 tff(34904,plain,
% 9.46/6.92 (xuntil6(s220) | (~until5(s220))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10973, 36, 34903])).
% 9.46/6.92 tff(34905,plain,
% 9.46/6.92 (xuntil6(s220)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34904, 34902])).
% 9.46/6.92 tff(34906,plain,
% 9.46/6.92 (until5(s221)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10979, 34905])).
% 9.46/6.92 tff(34907,plain,
% 9.46/6.92 (~node4(s221)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10983, 22, 34879])).
% 9.46/6.92 tff(34908,plain,
% 9.46/6.92 (xuntil6(s221) | (~until5(s221))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10990, 36, 34907])).
% 9.46/6.92 tff(34909,plain,
% 9.46/6.92 (xuntil6(s221)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34908, 34906])).
% 9.46/6.92 tff(34910,plain,
% 9.46/6.92 (until5(s222)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10996, 34909])).
% 9.46/6.92 tff(34911,plain,
% 9.46/6.92 (~node4(s222)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11000, 22, 34878])).
% 9.46/6.92 tff(34912,plain,
% 9.46/6.92 (xuntil6(s222) | (~until5(s222))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11007, 36, 34911])).
% 9.46/6.92 tff(34913,plain,
% 9.46/6.92 (xuntil6(s222)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34912, 34910])).
% 9.46/6.92 tff(34914,plain,
% 9.46/6.92 (until5(s223)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11013, 34913])).
% 9.46/6.92 tff(34915,plain,
% 9.46/6.92 (~node4(s223)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11017, 22, 34877])).
% 9.46/6.92 tff(34916,plain,
% 9.46/6.92 (xuntil6(s223) | (~until5(s223))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11024, 36, 34915])).
% 9.46/6.92 tff(34917,plain,
% 9.46/6.92 (xuntil6(s223)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34916, 34914])).
% 9.46/6.92 tff(34918,plain,
% 9.46/6.92 (until5(s224)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11030, 34917])).
% 9.46/6.92 tff(34919,plain,
% 9.46/6.92 (~node4(s224)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11034, 22, 34876])).
% 9.46/6.92 tff(34920,plain,
% 9.46/6.92 (xuntil6(s224) | (~until5(s224))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11041, 36, 34919])).
% 9.46/6.92 tff(34921,plain,
% 9.46/6.92 (xuntil6(s224)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34920, 34918])).
% 9.46/6.92 tff(34922,plain,
% 9.46/6.92 (until5(s225)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11047, 34921])).
% 9.46/6.92 tff(34923,plain,
% 9.46/6.92 (~node4(s225)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11051, 22, 34875])).
% 9.46/6.92 tff(34924,plain,
% 9.46/6.92 (xuntil6(s225) | (~until5(s225))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11058, 36, 34923])).
% 9.46/6.92 tff(34925,plain,
% 9.46/6.92 (xuntil6(s225)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34924, 34922])).
% 9.46/6.92 tff(34926,plain,
% 9.46/6.92 (until5(s226)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11064, 34925])).
% 9.46/6.92 tff(34927,plain,
% 9.46/6.92 (~node4(s226)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11068, 22, 34874])).
% 9.46/6.92 tff(34928,plain,
% 9.46/6.92 (xuntil6(s226) | (~until5(s226))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11075, 36, 34927])).
% 9.46/6.92 tff(34929,plain,
% 9.46/6.92 (xuntil6(s226)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34928, 34926])).
% 9.46/6.92 tff(34930,plain,
% 9.46/6.92 (until5(s227)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11081, 34929])).
% 9.46/6.92 tff(34931,plain,
% 9.46/6.92 (~node4(s227)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11085, 22, 34873])).
% 9.46/6.92 tff(34932,plain,
% 9.46/6.92 (xuntil6(s227) | (~until5(s227))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11092, 36, 34931])).
% 9.46/6.92 tff(34933,plain,
% 9.46/6.92 (xuntil6(s227)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34932, 34930])).
% 9.46/6.92 tff(34934,plain,
% 9.46/6.92 (until5(s228)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11098, 34933])).
% 9.46/6.92 tff(34935,plain,
% 9.46/6.92 (~node4(s228)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11102, 22, 34872])).
% 9.46/6.92 tff(34936,plain,
% 9.46/6.92 (xuntil6(s228) | (~until5(s228))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11109, 36, 34935])).
% 9.46/6.92 tff(34937,plain,
% 9.46/6.92 (xuntil6(s228)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34936, 34934])).
% 9.46/6.92 tff(34938,plain,
% 9.46/6.92 (until5(s229)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11115, 34937])).
% 9.46/6.92 tff(34939,plain,
% 9.46/6.92 (~node4(s229)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11119, 22, 34871])).
% 9.46/6.92 tff(34940,plain,
% 9.46/6.92 (xuntil6(s229) | (~until5(s229))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11126, 36, 34939])).
% 9.46/6.92 tff(34941,plain,
% 9.46/6.92 (xuntil6(s229)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34940, 34938])).
% 9.46/6.92 tff(34942,plain,
% 9.46/6.92 (until5(s230)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11132, 34941])).
% 9.46/6.92 tff(34943,plain,
% 9.46/6.92 (~node4(s230)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11136, 22, 34870])).
% 9.46/6.92 tff(34944,plain,
% 9.46/6.92 (xuntil6(s230) | (~until5(s230))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11143, 36, 34943])).
% 9.46/6.92 tff(34945,plain,
% 9.46/6.92 (xuntil6(s230)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34944, 34942])).
% 9.46/6.92 tff(34946,plain,
% 9.46/6.92 (until5(s231)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11149, 34945])).
% 9.46/6.92 tff(34947,plain,
% 9.46/6.92 (~node4(s231)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11153, 22, 34869])).
% 9.46/6.92 tff(34948,plain,
% 9.46/6.92 (xuntil6(s231) | (~until5(s231))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11160, 36, 34947])).
% 9.46/6.92 tff(34949,plain,
% 9.46/6.92 (xuntil6(s231)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34948, 34946])).
% 9.46/6.92 tff(34950,plain,
% 9.46/6.92 (until5(s232)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11166, 34949])).
% 9.46/6.92 tff(34951,plain,
% 9.46/6.92 (~node4(s232)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11170, 22, 34868])).
% 9.46/6.92 tff(34952,plain,
% 9.46/6.92 (xuntil6(s232) | (~until5(s232))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11177, 36, 34951])).
% 9.46/6.92 tff(34953,plain,
% 9.46/6.92 (xuntil6(s232)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34952, 34950])).
% 9.46/6.92 tff(34954,plain,
% 9.46/6.92 (until5(s233)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11183, 34953])).
% 9.46/6.92 tff(34955,plain,
% 9.46/6.92 (~node4(s233)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11187, 22, 34867])).
% 9.46/6.92 tff(34956,plain,
% 9.46/6.92 (xuntil6(s233) | (~until5(s233))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11194, 36, 34955])).
% 9.46/6.92 tff(34957,plain,
% 9.46/6.92 (xuntil6(s233)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34956, 34954])).
% 9.46/6.92 tff(34958,plain,
% 9.46/6.92 (until5(s234)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11200, 34957])).
% 9.46/6.92 tff(34959,plain,
% 9.46/6.92 (~node4(s234)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11204, 22, 34866])).
% 9.46/6.92 tff(34960,plain,
% 9.46/6.92 (xuntil6(s234) | (~until5(s234))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11211, 36, 34959])).
% 9.46/6.92 tff(34961,plain,
% 9.46/6.92 (xuntil6(s234)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34960, 34958])).
% 9.46/6.92 tff(34962,plain,
% 9.46/6.92 ($false),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11217, 34961, 34865])).
% 9.46/6.92 tff(34963,plain,(always3(s254) | node4(s253) | xuntil6(s254) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.46/6.92 tff(34964,plain,
% 9.46/6.92 (always3(s254)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34963, 11525, 6320, 34769])).
% 9.46/6.92 tff(34965,plain,
% 9.46/6.92 (always3(s255)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5865, 34964])).
% 9.46/6.92 tff(34966,plain,
% 9.46/6.92 (((~![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)))),
% 9.46/6.92 inference(rewrite,[status(thm)],[])).
% 9.46/6.92 tff(34967,plain,
% 9.46/6.92 (((~m_main_v_state(s255, c_busy)) | (~always3(s255))) <=> ((~always3(s255)) | (~m_main_v_state(s255, c_busy)))),
% 9.46/6.92 inference(rewrite,[status(thm)],[])).
% 9.46/6.92 tff(34968,plain,
% 9.46/6.92 (((~![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))))),
% 9.46/6.92 inference(monotonicity,[status(thm)],[34967])).
% 9.46/6.92 tff(34969,plain,
% 9.46/6.92 (((~![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)))),
% 9.46/6.92 inference(transitivity,[status(thm)],[34968, 34966])).
% 9.46/6.92 tff(34970,plain,
% 9.46/6.92 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s255, c_busy)) | (~always3(s255)))),
% 9.46/6.92 inference(quant_inst,[status(thm)],[])).
% 9.46/6.92 tff(34971,plain,
% 9.46/6.92 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s255)) | (~m_main_v_state(s255, c_busy))),
% 9.46/6.92 inference(modus_ponens,[status(thm)],[34970, 34969])).
% 9.46/6.92 tff(34972,plain,
% 9.46/6.92 (~m_main_v_state(s255, c_busy)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34971, 170, 34965])).
% 9.46/6.92 tff(34973,assumption,(until5(s253)), introduced(assumption)).
% 9.46/6.92 tff(34974,plain,
% 9.46/6.92 (xuntil6(s253) | node4(s253)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11531, 36, 34973])).
% 9.46/6.92 tff(34975,plain,
% 9.46/6.92 (xuntil6(s253)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34974, 11525])).
% 9.46/6.92 tff(34976,plain,
% 9.46/6.92 (until5(s254)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11537, 34975])).
% 9.46/6.92 tff(34977,plain,
% 9.46/6.92 (node4(s254)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34775, 34976])).
% 9.46/6.92 tff(34978,plain,
% 9.46/6.92 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s254) | (~node4(s254)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s254) | (~node4(s254)))),
% 9.46/6.92 inference(rewrite,[status(thm)],[])).
% 9.46/6.92 tff(34979,plain,
% 9.46/6.92 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s254) | (~node4(s254)))),
% 9.46/6.92 inference(quant_inst,[status(thm)],[])).
% 9.46/6.92 tff(34980,plain,
% 9.46/6.92 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s254) | (~node4(s254))),
% 9.46/6.92 inference(modus_ponens,[status(thm)],[34979, 34978])).
% 9.46/6.92 tff(34981,plain,
% 9.46/6.92 (m_main_v_request(s254)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34980, 154, 34977])).
% 9.46/6.92 tff(34982,plain,
% 9.46/6.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s254, s255)) | node2(s254, s255))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s254, s255)) | node2(s254, s255))),
% 9.46/6.92 inference(rewrite,[status(thm)],[])).
% 9.46/6.92 tff(34983,plain,
% 9.46/6.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s254, s255)) | node2(s254, s255))),
% 9.46/6.92 inference(quant_inst,[status(thm)],[])).
% 9.46/6.92 tff(34984,plain,
% 9.46/6.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s254, s255)) | node2(s254, s255)),
% 9.46/6.92 inference(modus_ponens,[status(thm)],[34983, 34982])).
% 9.46/6.92 tff(34985,plain,
% 9.46/6.92 (node2(s254, s255)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34984, 7, 5861])).
% 9.46/6.92 tff(34986,plain,
% 9.46/6.92 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s254, c_ready)) | (~node2(s254, s255)) | m_main_v_state(s255, c_busy) | (~m_main_v_request(s254)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s254, c_ready)) | (~node2(s254, s255)) | m_main_v_state(s255, c_busy) | (~m_main_v_request(s254)))),
% 9.46/6.92 inference(rewrite,[status(thm)],[])).
% 9.46/6.92 tff(34987,plain,
% 9.46/6.92 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s254, c_ready)) | (~node2(s254, s255)) | m_main_v_state(s255, c_busy) | (~m_main_v_request(s254)))),
% 9.46/6.92 inference(quant_inst,[status(thm)],[])).
% 9.46/6.92 tff(34988,plain,
% 9.46/6.92 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s254, c_ready)) | (~node2(s254, s255)) | m_main_v_state(s255, c_busy) | (~m_main_v_request(s254))),
% 9.46/6.92 inference(modus_ponens,[status(thm)],[34987, 34986])).
% 9.46/6.92 tff(34989,plain,
% 9.46/6.92 ((~m_main_v_state(s254, c_ready)) | m_main_v_state(s255, c_busy) | (~m_main_v_request(s254))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34988, 191, 34985])).
% 9.46/6.92 tff(34990,plain,
% 9.46/6.92 (~m_main_v_state(s254, c_ready)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34989, 34981, 34972])).
% 9.46/6.92 tff(34991,plain,
% 9.46/6.92 (~m_main_v_state(s254, c_busy)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5099, 170, 34964])).
% 9.46/6.92 tff(34992,plain,
% 9.46/6.92 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s254, c_busy) | m_main_v_state(s254, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s254, c_busy) | m_main_v_state(s254, c_ready))),
% 9.46/6.92 inference(rewrite,[status(thm)],[])).
% 9.46/6.92 tff(34993,plain,
% 9.46/6.92 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s254, c_busy) | m_main_v_state(s254, c_ready))),
% 9.46/6.92 inference(quant_inst,[status(thm)],[])).
% 9.46/6.92 tff(34994,plain,
% 9.46/6.92 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s254, c_busy) | m_main_v_state(s254, c_ready)),
% 9.46/6.92 inference(modus_ponens,[status(thm)],[34993, 34992])).
% 9.46/6.92 tff(34995,plain,
% 9.46/6.92 ($false),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34994, 213, 34991, 34990])).
% 9.46/6.92 tff(34996,plain,(node4(s253) | xuntil6(s254) | (~until5(s253)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.46/6.92 tff(34997,plain,
% 9.46/6.92 (xuntil6(s254) | (~until5(s253)) | (~until5(s58))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34996, 5121])).
% 9.46/6.92 tff(34998,plain,
% 9.46/6.92 (xuntil6(s254)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[34997, 34768, 5071])).
% 9.46/6.92 tff(34999,plain,
% 9.46/6.92 (until5(s255)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11554, 34998])).
% 9.46/6.92 tff(35000,assumption,(~xuntil6(s276)), introduced(assumption)).
% 9.46/6.92 tff(35001,assumption,(~always3(s257)), introduced(assumption)).
% 9.46/6.92 tff(35002,plain,
% 9.46/6.92 (~always3(s256)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5841, 35001])).
% 9.46/6.92 tff(35003,plain,
% 9.46/6.92 (~always3(s255)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5853, 35002])).
% 9.46/6.92 tff(35004,plain,
% 9.46/6.92 (~always3(s254)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5865, 35003])).
% 9.46/6.92 tff(35005,plain,
% 9.46/6.92 (~always3(s253)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5092, 35004])).
% 9.46/6.92 tff(35006,plain,
% 9.46/6.92 (~node4(s253)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5080, 22, 35005])).
% 9.46/6.92 tff(35007,assumption,(~always3(s276)), introduced(assumption)).
% 9.46/6.92 tff(35008,plain,
% 9.46/6.92 (~always3(s275)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5613, 35007])).
% 9.46/6.92 tff(35009,plain,
% 9.46/6.92 (~node4(s275)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11898, 22, 35008])).
% 9.46/6.92 tff(35010,plain,
% 9.46/6.92 (~node4(s276)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11915, 22, 35007])).
% 9.46/6.92 tff(35011,plain,
% 9.46/6.92 (node4(s276) | (~until5(s276))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11922, 36, 35000])).
% 9.46/6.92 tff(35012,plain,
% 9.46/6.92 (~until5(s276)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35011, 35010])).
% 9.46/6.92 tff(35013,plain,
% 9.46/6.92 (~xuntil6(s275)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11911, 35012])).
% 9.46/6.92 tff(35014,plain,
% 9.46/6.92 (~until5(s275)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11905, 36, 35013, 35009])).
% 9.46/6.92 tff(35015,plain,
% 9.46/6.92 (~xuntil6(s274)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11894, 35014])).
% 9.46/6.92 tff(35016,plain,
% 9.46/6.92 (~always3(s274)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5625, 35008])).
% 9.46/6.92 tff(35017,plain,
% 9.46/6.92 (~node4(s274)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11881, 22, 35016])).
% 9.46/6.92 tff(35018,plain,
% 9.46/6.92 (xuntil6(s274) | (~until5(s274))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11888, 36, 35017])).
% 9.46/6.92 tff(35019,plain,
% 9.46/6.92 (~until5(s274)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35018, 35015])).
% 9.46/6.92 tff(35020,plain,
% 9.46/6.92 (~xuntil6(s273)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11877, 35019])).
% 9.46/6.92 tff(35021,plain,
% 9.46/6.92 (~always3(s273)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5637, 35016])).
% 9.46/6.92 tff(35022,plain,
% 9.46/6.92 (~node4(s273)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11864, 22, 35021])).
% 9.46/6.92 tff(35023,plain,
% 9.46/6.92 (xuntil6(s273) | (~until5(s273))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11871, 36, 35022])).
% 9.46/6.92 tff(35024,plain,
% 9.46/6.92 (~until5(s273)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35023, 35020])).
% 9.46/6.92 tff(35025,plain,
% 9.46/6.92 (~xuntil6(s272)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11860, 35024])).
% 9.46/6.92 tff(35026,plain,
% 9.46/6.92 (~always3(s272)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5649, 35021])).
% 9.46/6.92 tff(35027,plain,
% 9.46/6.92 (~node4(s272)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11847, 22, 35026])).
% 9.46/6.92 tff(35028,plain,
% 9.46/6.92 (xuntil6(s272) | (~until5(s272))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11854, 36, 35027])).
% 9.46/6.92 tff(35029,plain,
% 9.46/6.92 (~until5(s272)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35028, 35025])).
% 9.46/6.92 tff(35030,plain,
% 9.46/6.92 (~xuntil6(s271)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11843, 35029])).
% 9.46/6.92 tff(35031,plain,
% 9.46/6.92 (~always3(s271)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5661, 35026])).
% 9.46/6.92 tff(35032,plain,
% 9.46/6.92 (~node4(s271)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11830, 22, 35031])).
% 9.46/6.92 tff(35033,plain,
% 9.46/6.92 (xuntil6(s271) | (~until5(s271))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11837, 36, 35032])).
% 9.46/6.92 tff(35034,plain,
% 9.46/6.92 (~until5(s271)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35033, 35030])).
% 9.46/6.92 tff(35035,plain,
% 9.46/6.92 (~xuntil6(s270)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11826, 35034])).
% 9.46/6.92 tff(35036,plain,
% 9.46/6.92 (~always3(s270)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5673, 35031])).
% 9.46/6.92 tff(35037,plain,
% 9.46/6.92 (~node4(s270)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11813, 22, 35036])).
% 9.46/6.92 tff(35038,plain,
% 9.46/6.92 (xuntil6(s270) | (~until5(s270))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11820, 36, 35037])).
% 9.46/6.92 tff(35039,plain,
% 9.46/6.92 (~until5(s270)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35038, 35035])).
% 9.46/6.92 tff(35040,plain,
% 9.46/6.92 (~xuntil6(s269)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11809, 35039])).
% 9.46/6.92 tff(35041,plain,
% 9.46/6.92 (~always3(s269)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5685, 35036])).
% 9.46/6.92 tff(35042,plain,
% 9.46/6.92 (~node4(s269)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11796, 22, 35041])).
% 9.46/6.92 tff(35043,plain,
% 9.46/6.92 (xuntil6(s269) | (~until5(s269))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11803, 36, 35042])).
% 9.46/6.92 tff(35044,plain,
% 9.46/6.92 (~until5(s269)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35043, 35040])).
% 9.46/6.92 tff(35045,plain,
% 9.46/6.92 (~xuntil6(s268)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11792, 35044])).
% 9.46/6.92 tff(35046,plain,
% 9.46/6.92 (~always3(s268)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5697, 35041])).
% 9.46/6.92 tff(35047,plain,
% 9.46/6.92 (~node4(s268)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11779, 22, 35046])).
% 9.46/6.92 tff(35048,plain,
% 9.46/6.92 (xuntil6(s268) | (~until5(s268))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11786, 36, 35047])).
% 9.46/6.92 tff(35049,plain,
% 9.46/6.92 (~until5(s268)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35048, 35045])).
% 9.46/6.92 tff(35050,plain,
% 9.46/6.92 (~xuntil6(s267)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11775, 35049])).
% 9.46/6.92 tff(35051,plain,
% 9.46/6.92 (~always3(s267)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5709, 35046])).
% 9.46/6.92 tff(35052,plain,
% 9.46/6.92 (~node4(s267)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11762, 22, 35051])).
% 9.46/6.92 tff(35053,plain,
% 9.46/6.92 (xuntil6(s267) | (~until5(s267))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11769, 36, 35052])).
% 9.46/6.92 tff(35054,plain,
% 9.46/6.92 (~until5(s267)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35053, 35050])).
% 9.46/6.92 tff(35055,plain,
% 9.46/6.92 (~xuntil6(s266)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11758, 35054])).
% 9.46/6.92 tff(35056,plain,
% 9.46/6.92 (~always3(s266)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5721, 35051])).
% 9.46/6.92 tff(35057,plain,
% 9.46/6.92 (~node4(s266)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11745, 22, 35056])).
% 9.46/6.92 tff(35058,plain,
% 9.46/6.92 (xuntil6(s266) | (~until5(s266))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11752, 36, 35057])).
% 9.46/6.92 tff(35059,plain,
% 9.46/6.92 (~until5(s266)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35058, 35055])).
% 9.46/6.92 tff(35060,plain,
% 9.46/6.92 (~xuntil6(s265)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11741, 35059])).
% 9.46/6.92 tff(35061,plain,
% 9.46/6.92 (~always3(s265)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5733, 35056])).
% 9.46/6.92 tff(35062,plain,
% 9.46/6.92 (~node4(s265)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11728, 22, 35061])).
% 9.46/6.92 tff(35063,plain,
% 9.46/6.92 (xuntil6(s265) | (~until5(s265))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11735, 36, 35062])).
% 9.46/6.92 tff(35064,plain,
% 9.46/6.92 (~until5(s265)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35063, 35060])).
% 9.46/6.92 tff(35065,plain,
% 9.46/6.92 (~xuntil6(s264)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11724, 35064])).
% 9.46/6.92 tff(35066,plain,
% 9.46/6.92 (~always3(s264)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5745, 35061])).
% 9.46/6.92 tff(35067,plain,
% 9.46/6.92 (~node4(s264)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11711, 22, 35066])).
% 9.46/6.92 tff(35068,plain,
% 9.46/6.92 (xuntil6(s264) | (~until5(s264))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11718, 36, 35067])).
% 9.46/6.92 tff(35069,plain,
% 9.46/6.92 (~until5(s264)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35068, 35065])).
% 9.46/6.92 tff(35070,plain,
% 9.46/6.92 (~xuntil6(s263)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11707, 35069])).
% 9.46/6.92 tff(35071,plain,
% 9.46/6.92 (~always3(s263)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5757, 35066])).
% 9.46/6.92 tff(35072,plain,
% 9.46/6.92 (~node4(s263)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11694, 22, 35071])).
% 9.46/6.92 tff(35073,plain,
% 9.46/6.92 (xuntil6(s263) | (~until5(s263))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11701, 36, 35072])).
% 9.46/6.92 tff(35074,plain,
% 9.46/6.92 (~until5(s263)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35073, 35070])).
% 9.46/6.92 tff(35075,plain,
% 9.46/6.92 (~xuntil6(s262)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11690, 35074])).
% 9.46/6.92 tff(35076,plain,
% 9.46/6.92 (~always3(s262)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5769, 35071])).
% 9.46/6.92 tff(35077,plain,
% 9.46/6.92 (~node4(s262)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11677, 22, 35076])).
% 9.46/6.92 tff(35078,plain,
% 9.46/6.92 (xuntil6(s262) | (~until5(s262))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11684, 36, 35077])).
% 9.46/6.92 tff(35079,plain,
% 9.46/6.92 (~until5(s262)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35078, 35075])).
% 9.46/6.92 tff(35080,plain,
% 9.46/6.92 (~xuntil6(s261)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11673, 35079])).
% 9.46/6.92 tff(35081,plain,
% 9.46/6.92 (~always3(s261)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5781, 35076])).
% 9.46/6.92 tff(35082,plain,
% 9.46/6.92 (~node4(s261)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11660, 22, 35081])).
% 9.46/6.92 tff(35083,plain,
% 9.46/6.92 (xuntil6(s261) | (~until5(s261))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11667, 36, 35082])).
% 9.46/6.92 tff(35084,plain,
% 9.46/6.92 (~until5(s261)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35083, 35080])).
% 9.46/6.92 tff(35085,plain,
% 9.46/6.92 (~xuntil6(s260)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11656, 35084])).
% 9.46/6.92 tff(35086,plain,
% 9.46/6.92 (~always3(s260)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5793, 35081])).
% 9.46/6.92 tff(35087,plain,
% 9.46/6.92 (~node4(s260)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11643, 22, 35086])).
% 9.46/6.92 tff(35088,plain,
% 9.46/6.92 (xuntil6(s260) | (~until5(s260))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11650, 36, 35087])).
% 9.46/6.92 tff(35089,plain,
% 9.46/6.92 (~until5(s260)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35088, 35085])).
% 9.46/6.92 tff(35090,plain,
% 9.46/6.92 (~xuntil6(s259)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11639, 35089])).
% 9.46/6.92 tff(35091,plain,
% 9.46/6.92 (~always3(s259)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5805, 35086])).
% 9.46/6.92 tff(35092,plain,
% 9.46/6.92 (~node4(s259)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11626, 22, 35091])).
% 9.46/6.92 tff(35093,plain,
% 9.46/6.92 (xuntil6(s259) | (~until5(s259))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11633, 36, 35092])).
% 9.46/6.92 tff(35094,plain,
% 9.46/6.92 (~until5(s259)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35093, 35090])).
% 9.46/6.92 tff(35095,plain,
% 9.46/6.92 (~xuntil6(s258)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11622, 35094])).
% 9.46/6.92 tff(35096,plain,
% 9.46/6.92 (~always3(s258)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5817, 35091])).
% 9.46/6.92 tff(35097,plain,
% 9.46/6.92 (~node4(s258)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11609, 22, 35096])).
% 9.46/6.92 tff(35098,plain,
% 9.46/6.92 (xuntil6(s258) | (~until5(s258))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11616, 36, 35097])).
% 9.46/6.92 tff(35099,plain,
% 9.46/6.92 (~until5(s258)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35098, 35095])).
% 9.46/6.92 tff(35100,plain,
% 9.46/6.92 (~xuntil6(s257)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11605, 35099])).
% 9.46/6.92 tff(35101,plain,
% 9.46/6.92 (~always3(s257)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5829, 35096])).
% 9.46/6.92 tff(35102,plain,
% 9.46/6.92 (~node4(s257)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11592, 22, 35101])).
% 9.46/6.92 tff(35103,plain,
% 9.46/6.92 (xuntil6(s257) | (~until5(s257))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11599, 36, 35102])).
% 9.46/6.92 tff(35104,plain,
% 9.46/6.92 (~until5(s257)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35103, 35100])).
% 9.46/6.92 tff(35105,plain,
% 9.46/6.92 (~xuntil6(s256)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11588, 35104])).
% 9.46/6.92 tff(35106,plain,
% 9.46/6.92 (~always3(s256)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5841, 35101])).
% 9.46/6.92 tff(35107,plain,
% 9.46/6.92 (~node4(s256)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11575, 22, 35106])).
% 9.46/6.92 tff(35108,plain,
% 9.46/6.92 (xuntil6(s256) | (~until5(s256))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11582, 36, 35107])).
% 9.46/6.92 tff(35109,plain,
% 9.46/6.92 (~until5(s256)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35108, 35105])).
% 9.46/6.92 tff(35110,plain,
% 9.46/6.92 (~xuntil6(s255)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11571, 35109])).
% 9.46/6.92 tff(35111,plain,
% 9.46/6.92 (~always3(s255)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5853, 35106])).
% 9.46/6.92 tff(35112,plain,
% 9.46/6.92 (~node4(s255)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11558, 22, 35111])).
% 9.46/6.92 tff(35113,plain,
% 9.46/6.92 (xuntil6(s255) | (~until5(s255))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11565, 36, 35112])).
% 9.46/6.92 tff(35114,plain,
% 9.46/6.92 (~until5(s255)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35113, 35110])).
% 9.46/6.92 tff(35115,plain,
% 9.46/6.92 (~xuntil6(s254)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11554, 35114])).
% 9.46/6.92 tff(35116,plain,
% 9.46/6.92 (~always3(s254)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5865, 35111])).
% 9.46/6.92 tff(35117,plain,
% 9.46/6.92 (~node4(s254)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11541, 22, 35116])).
% 9.46/6.92 tff(35118,plain,
% 9.46/6.92 (xuntil6(s254) | (~until5(s254))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11548, 36, 35117])).
% 9.46/6.92 tff(35119,plain,
% 9.46/6.92 (~until5(s254)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35118, 35115])).
% 9.46/6.92 tff(35120,plain,
% 9.46/6.92 (~xuntil6(s253)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11537, 35119])).
% 9.46/6.92 tff(35121,plain,
% 9.46/6.92 (~until5(s253)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11532, 35120])).
% 9.46/6.92 tff(35122,plain,
% 9.46/6.92 (~xuntil6(s252)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11523, 35121])).
% 9.46/6.92 tff(35123,plain,
% 9.46/6.92 (~always3(s253)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5092, 35116])).
% 9.46/6.92 tff(35124,plain,
% 9.46/6.92 (~always3(s252)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5878, 35123])).
% 9.46/6.92 tff(35125,plain,
% 9.46/6.92 (~node4(s252)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11510, 22, 35124])).
% 9.46/6.92 tff(35126,plain,
% 9.46/6.92 (xuntil6(s252) | (~until5(s252))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11517, 36, 35125])).
% 9.46/6.92 tff(35127,plain,
% 9.46/6.92 (~until5(s252)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35126, 35122])).
% 9.46/6.92 tff(35128,plain,
% 9.46/6.92 (~xuntil6(s251)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11506, 35127])).
% 9.46/6.92 tff(35129,plain,
% 9.46/6.92 (~always3(s251)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5890, 35124])).
% 9.46/6.92 tff(35130,plain,
% 9.46/6.92 (~node4(s251)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11493, 22, 35129])).
% 9.46/6.92 tff(35131,plain,
% 9.46/6.92 (xuntil6(s251) | (~until5(s251))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11500, 36, 35130])).
% 9.46/6.92 tff(35132,plain,
% 9.46/6.92 (~until5(s251)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35131, 35128])).
% 9.46/6.92 tff(35133,plain,
% 9.46/6.92 (~xuntil6(s250)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11489, 35132])).
% 9.46/6.92 tff(35134,plain,
% 9.46/6.92 (~always3(s250)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5902, 35129])).
% 9.46/6.92 tff(35135,plain,
% 9.46/6.92 (~node4(s250)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11476, 22, 35134])).
% 9.46/6.92 tff(35136,plain,
% 9.46/6.92 (xuntil6(s250) | (~until5(s250))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11483, 36, 35135])).
% 9.46/6.92 tff(35137,plain,
% 9.46/6.92 (~until5(s250)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35136, 35133])).
% 9.46/6.92 tff(35138,plain,
% 9.46/6.92 (~xuntil6(s249)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11472, 35137])).
% 9.46/6.92 tff(35139,plain,
% 9.46/6.92 (~always3(s249)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5914, 35134])).
% 9.46/6.92 tff(35140,plain,
% 9.46/6.92 (~node4(s249)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11459, 22, 35139])).
% 9.46/6.92 tff(35141,plain,
% 9.46/6.92 (xuntil6(s249) | (~until5(s249))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11466, 36, 35140])).
% 9.46/6.92 tff(35142,plain,
% 9.46/6.92 (~until5(s249)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35141, 35138])).
% 9.46/6.92 tff(35143,plain,
% 9.46/6.92 (~xuntil6(s248)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11455, 35142])).
% 9.46/6.92 tff(35144,plain,
% 9.46/6.92 (~always3(s248)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5926, 35139])).
% 9.46/6.92 tff(35145,plain,
% 9.46/6.92 (~node4(s248)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11442, 22, 35144])).
% 9.46/6.92 tff(35146,plain,
% 9.46/6.92 (xuntil6(s248) | (~until5(s248))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11449, 36, 35145])).
% 9.46/6.92 tff(35147,plain,
% 9.46/6.92 (~until5(s248)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35146, 35143])).
% 9.46/6.92 tff(35148,plain,
% 9.46/6.92 (~xuntil6(s247)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11438, 35147])).
% 9.46/6.92 tff(35149,plain,
% 9.46/6.92 (~always3(s247)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5938, 35144])).
% 9.46/6.92 tff(35150,plain,
% 9.46/6.92 (~node4(s247)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11425, 22, 35149])).
% 9.46/6.92 tff(35151,plain,
% 9.46/6.92 (xuntil6(s247) | (~until5(s247))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11432, 36, 35150])).
% 9.46/6.92 tff(35152,plain,
% 9.46/6.92 (~until5(s247)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35151, 35148])).
% 9.46/6.92 tff(35153,plain,
% 9.46/6.92 (~xuntil6(s246)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11421, 35152])).
% 9.46/6.92 tff(35154,plain,
% 9.46/6.92 (~always3(s246)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5950, 35149])).
% 9.46/6.92 tff(35155,plain,
% 9.46/6.92 (~always3(s245)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5962, 35154])).
% 9.46/6.92 tff(35156,plain,
% 9.46/6.92 (~always3(s244)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5974, 35155])).
% 9.46/6.92 tff(35157,plain,
% 9.46/6.92 (~always3(s243)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5986, 35156])).
% 9.46/6.92 tff(35158,plain,
% 9.46/6.92 (~always3(s242)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[5998, 35157])).
% 9.46/6.92 tff(35159,plain,
% 9.46/6.92 (~always3(s241)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6010, 35158])).
% 9.46/6.92 tff(35160,plain,
% 9.46/6.92 (~always3(s240)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6022, 35159])).
% 9.46/6.92 tff(35161,plain,
% 9.46/6.92 (~always3(s239)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6034, 35160])).
% 9.46/6.92 tff(35162,plain,
% 9.46/6.92 (~always3(s238)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6046, 35161])).
% 9.46/6.92 tff(35163,plain,
% 9.46/6.92 (~always3(s237)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6058, 35162])).
% 9.46/6.92 tff(35164,plain,
% 9.46/6.92 (~always3(s236)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6070, 35163])).
% 9.46/6.92 tff(35165,plain,
% 9.46/6.92 (~always3(s235)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6082, 35164])).
% 9.46/6.92 tff(35166,plain,
% 9.46/6.92 (~always3(s234)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6094, 35165])).
% 9.46/6.92 tff(35167,plain,
% 9.46/6.92 (~always3(s233)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6106, 35166])).
% 9.46/6.92 tff(35168,plain,
% 9.46/6.92 (~always3(s232)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6118, 35167])).
% 9.46/6.92 tff(35169,plain,
% 9.46/6.92 (~always3(s231)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6130, 35168])).
% 9.46/6.92 tff(35170,plain,
% 9.46/6.92 (~always3(s230)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6142, 35169])).
% 9.46/6.92 tff(35171,plain,
% 9.46/6.92 (~always3(s229)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6154, 35170])).
% 9.46/6.92 tff(35172,plain,
% 9.46/6.92 (~always3(s228)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6166, 35171])).
% 9.46/6.92 tff(35173,plain,
% 9.46/6.92 (~always3(s227)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6178, 35172])).
% 9.46/6.92 tff(35174,plain,
% 9.46/6.92 (~always3(s226)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6190, 35173])).
% 9.46/6.92 tff(35175,plain,
% 9.46/6.92 (~always3(s225)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6202, 35174])).
% 9.46/6.92 tff(35176,plain,
% 9.46/6.92 (~always3(s224)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6214, 35175])).
% 9.46/6.92 tff(35177,plain,
% 9.46/6.92 (~always3(s223)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6226, 35176])).
% 9.46/6.92 tff(35178,plain,
% 9.46/6.92 (~always3(s222)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6238, 35177])).
% 9.46/6.92 tff(35179,plain,
% 9.46/6.92 (~always3(s221)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6250, 35178])).
% 9.46/6.92 tff(35180,plain,
% 9.46/6.92 (~always3(s220)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6262, 35179])).
% 9.46/6.92 tff(35181,plain,
% 9.46/6.92 (~always3(s219)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6274, 35180])).
% 9.46/6.92 tff(35182,plain,
% 9.46/6.92 (~always3(s218)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6286, 35181])).
% 9.46/6.92 tff(35183,plain,
% 9.46/6.92 (~always3(s217)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6298, 35182])).
% 9.46/6.92 tff(35184,plain,
% 9.46/6.92 (~node4(s217)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6302, 22, 35183])).
% 9.46/6.92 tff(35185,plain,
% 9.46/6.92 (~always3(s216)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6314, 35183])).
% 9.46/6.92 tff(35186,plain,
% 9.46/6.92 (~node4(s216)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6318, 22, 35185])).
% 9.46/6.92 tff(35187,plain,
% 9.46/6.92 (~always3(s215)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[6331, 35185])).
% 9.46/6.92 tff(35188,plain,
% 9.46/6.92 (xuntil6(s215)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10898, 35187, 6320])).
% 9.46/6.92 tff(35189,plain,
% 9.46/6.92 (until5(s216)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10903, 35188])).
% 9.46/6.92 tff(35190,plain,
% 9.46/6.92 (xuntil6(s216) | node4(s216)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10910, 36, 35189])).
% 9.46/6.92 tff(35191,plain,
% 9.46/6.92 (xuntil6(s216)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35190, 35186])).
% 9.46/6.92 tff(35192,plain,
% 9.46/6.92 (until5(s217)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10916, 35191])).
% 9.46/6.92 tff(35193,plain,
% 9.46/6.92 (xuntil6(s217)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10923, 36, 35192, 35184])).
% 9.46/6.92 tff(35194,plain,
% 9.46/6.92 (until5(s218)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10928, 35193])).
% 9.46/6.92 tff(35195,plain,
% 9.46/6.92 (~node4(s218)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10932, 22, 35182])).
% 9.46/6.92 tff(35196,plain,
% 9.46/6.92 (xuntil6(s218) | (~until5(s218))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10939, 36, 35195])).
% 9.46/6.92 tff(35197,plain,
% 9.46/6.92 (xuntil6(s218)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35196, 35194])).
% 9.46/6.92 tff(35198,plain,
% 9.46/6.92 (until5(s219)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10945, 35197])).
% 9.46/6.92 tff(35199,plain,
% 9.46/6.92 (~node4(s219)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10949, 22, 35181])).
% 9.46/6.92 tff(35200,plain,
% 9.46/6.92 (xuntil6(s219) | (~until5(s219))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10956, 36, 35199])).
% 9.46/6.92 tff(35201,plain,
% 9.46/6.92 (xuntil6(s219)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35200, 35198])).
% 9.46/6.92 tff(35202,plain,
% 9.46/6.92 (until5(s220)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10962, 35201])).
% 9.46/6.92 tff(35203,plain,
% 9.46/6.92 (~node4(s220)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10966, 22, 35180])).
% 9.46/6.92 tff(35204,plain,
% 9.46/6.92 (xuntil6(s220) | (~until5(s220))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10973, 36, 35203])).
% 9.46/6.92 tff(35205,plain,
% 9.46/6.92 (xuntil6(s220)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35204, 35202])).
% 9.46/6.92 tff(35206,plain,
% 9.46/6.92 (until5(s221)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10979, 35205])).
% 9.46/6.92 tff(35207,plain,
% 9.46/6.92 (~node4(s221)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10983, 22, 35179])).
% 9.46/6.92 tff(35208,plain,
% 9.46/6.92 (xuntil6(s221) | (~until5(s221))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10990, 36, 35207])).
% 9.46/6.92 tff(35209,plain,
% 9.46/6.92 (xuntil6(s221)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35208, 35206])).
% 9.46/6.92 tff(35210,plain,
% 9.46/6.92 (until5(s222)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[10996, 35209])).
% 9.46/6.92 tff(35211,plain,
% 9.46/6.92 (~node4(s222)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11000, 22, 35178])).
% 9.46/6.92 tff(35212,plain,
% 9.46/6.92 (xuntil6(s222) | (~until5(s222))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11007, 36, 35211])).
% 9.46/6.92 tff(35213,plain,
% 9.46/6.92 (xuntil6(s222)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35212, 35210])).
% 9.46/6.92 tff(35214,plain,
% 9.46/6.92 (until5(s223)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11013, 35213])).
% 9.46/6.92 tff(35215,plain,
% 9.46/6.92 (~node4(s223)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11017, 22, 35177])).
% 9.46/6.92 tff(35216,plain,
% 9.46/6.92 (xuntil6(s223) | (~until5(s223))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11024, 36, 35215])).
% 9.46/6.92 tff(35217,plain,
% 9.46/6.92 (xuntil6(s223)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35216, 35214])).
% 9.46/6.92 tff(35218,plain,
% 9.46/6.92 (until5(s224)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11030, 35217])).
% 9.46/6.92 tff(35219,plain,
% 9.46/6.92 (~node4(s224)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11034, 22, 35176])).
% 9.46/6.92 tff(35220,plain,
% 9.46/6.92 (xuntil6(s224) | (~until5(s224))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11041, 36, 35219])).
% 9.46/6.92 tff(35221,plain,
% 9.46/6.92 (xuntil6(s224)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35220, 35218])).
% 9.46/6.92 tff(35222,plain,
% 9.46/6.92 (until5(s225)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11047, 35221])).
% 9.46/6.92 tff(35223,plain,
% 9.46/6.92 (~node4(s225)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11051, 22, 35175])).
% 9.46/6.92 tff(35224,plain,
% 9.46/6.92 (xuntil6(s225) | (~until5(s225))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11058, 36, 35223])).
% 9.46/6.92 tff(35225,plain,
% 9.46/6.92 (xuntil6(s225)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35224, 35222])).
% 9.46/6.92 tff(35226,plain,
% 9.46/6.92 (until5(s226)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11064, 35225])).
% 9.46/6.92 tff(35227,plain,
% 9.46/6.92 (~node4(s226)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11068, 22, 35174])).
% 9.46/6.92 tff(35228,plain,
% 9.46/6.92 (xuntil6(s226) | (~until5(s226))),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[11075, 36, 35227])).
% 9.46/6.92 tff(35229,plain,
% 9.46/6.92 (xuntil6(s226)),
% 9.46/6.92 inference(unit_resolution,[status(thm)],[35228, 35226])).
% 9.46/6.92 tff(35230,plain,
% 9.46/6.93 (until5(s227)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11081, 35229])).
% 9.46/6.93 tff(35231,plain,
% 9.46/6.93 (~node4(s227)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11085, 22, 35173])).
% 9.46/6.93 tff(35232,plain,
% 9.46/6.93 (xuntil6(s227) | (~until5(s227))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11092, 36, 35231])).
% 9.46/6.93 tff(35233,plain,
% 9.46/6.93 (xuntil6(s227)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35232, 35230])).
% 9.46/6.93 tff(35234,plain,
% 9.46/6.93 (until5(s228)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11098, 35233])).
% 9.46/6.93 tff(35235,plain,
% 9.46/6.93 (~node4(s228)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11102, 22, 35172])).
% 9.46/6.93 tff(35236,plain,
% 9.46/6.93 (xuntil6(s228) | (~until5(s228))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11109, 36, 35235])).
% 9.46/6.93 tff(35237,plain,
% 9.46/6.93 (xuntil6(s228)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35236, 35234])).
% 9.46/6.93 tff(35238,plain,
% 9.46/6.93 (until5(s229)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11115, 35237])).
% 9.46/6.93 tff(35239,plain,
% 9.46/6.93 (~node4(s229)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11119, 22, 35171])).
% 9.46/6.93 tff(35240,plain,
% 9.46/6.93 (xuntil6(s229) | (~until5(s229))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11126, 36, 35239])).
% 9.46/6.93 tff(35241,plain,
% 9.46/6.93 (xuntil6(s229)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35240, 35238])).
% 9.46/6.93 tff(35242,plain,
% 9.46/6.93 (until5(s230)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11132, 35241])).
% 9.46/6.93 tff(35243,plain,
% 9.46/6.93 (~node4(s230)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11136, 22, 35170])).
% 9.46/6.93 tff(35244,plain,
% 9.46/6.93 (xuntil6(s230) | (~until5(s230))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11143, 36, 35243])).
% 9.46/6.93 tff(35245,plain,
% 9.46/6.93 (xuntil6(s230)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35244, 35242])).
% 9.46/6.93 tff(35246,plain,
% 9.46/6.93 (until5(s231)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11149, 35245])).
% 9.46/6.93 tff(35247,plain,
% 9.46/6.93 (~node4(s231)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11153, 22, 35169])).
% 9.46/6.93 tff(35248,plain,
% 9.46/6.93 (xuntil6(s231) | (~until5(s231))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11160, 36, 35247])).
% 9.46/6.93 tff(35249,plain,
% 9.46/6.93 (xuntil6(s231)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35248, 35246])).
% 9.46/6.93 tff(35250,plain,
% 9.46/6.93 (until5(s232)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11166, 35249])).
% 9.46/6.93 tff(35251,plain,
% 9.46/6.93 (~node4(s232)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11170, 22, 35168])).
% 9.46/6.93 tff(35252,plain,
% 9.46/6.93 (xuntil6(s232) | (~until5(s232))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11177, 36, 35251])).
% 9.46/6.93 tff(35253,plain,
% 9.46/6.93 (xuntil6(s232)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35252, 35250])).
% 9.46/6.93 tff(35254,plain,
% 9.46/6.93 (until5(s233)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11183, 35253])).
% 9.46/6.93 tff(35255,plain,
% 9.46/6.93 (~node4(s233)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11187, 22, 35167])).
% 9.46/6.93 tff(35256,plain,
% 9.46/6.93 (xuntil6(s233) | (~until5(s233))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11194, 36, 35255])).
% 9.46/6.93 tff(35257,plain,
% 9.46/6.93 (xuntil6(s233)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35256, 35254])).
% 9.46/6.93 tff(35258,plain,
% 9.46/6.93 (until5(s234)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11200, 35257])).
% 9.46/6.93 tff(35259,plain,
% 9.46/6.93 (~node4(s234)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11204, 22, 35166])).
% 9.46/6.93 tff(35260,plain,
% 9.46/6.93 (xuntil6(s234) | (~until5(s234))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11211, 36, 35259])).
% 9.46/6.93 tff(35261,plain,
% 9.46/6.93 (xuntil6(s234)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35260, 35258])).
% 9.46/6.93 tff(35262,plain,
% 9.46/6.93 (until5(s235)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11217, 35261])).
% 9.46/6.93 tff(35263,plain,
% 9.46/6.93 (~node4(s235)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11221, 22, 35165])).
% 9.46/6.93 tff(35264,plain,
% 9.46/6.93 (xuntil6(s235) | (~until5(s235))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11228, 36, 35263])).
% 9.46/6.93 tff(35265,plain,
% 9.46/6.93 (xuntil6(s235)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35264, 35262])).
% 9.46/6.93 tff(35266,plain,
% 9.46/6.93 (until5(s236)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11234, 35265])).
% 9.46/6.93 tff(35267,plain,
% 9.46/6.93 (~node4(s236)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11238, 22, 35164])).
% 9.46/6.93 tff(35268,plain,
% 9.46/6.93 (xuntil6(s236) | (~until5(s236))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11245, 36, 35267])).
% 9.46/6.93 tff(35269,plain,
% 9.46/6.93 (xuntil6(s236)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35268, 35266])).
% 9.46/6.93 tff(35270,plain,
% 9.46/6.93 (until5(s237)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11251, 35269])).
% 9.46/6.93 tff(35271,plain,
% 9.46/6.93 (~node4(s237)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11255, 22, 35163])).
% 9.46/6.93 tff(35272,plain,
% 9.46/6.93 (xuntil6(s237) | (~until5(s237))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11262, 36, 35271])).
% 9.46/6.93 tff(35273,plain,
% 9.46/6.93 (xuntil6(s237)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35272, 35270])).
% 9.46/6.93 tff(35274,plain,
% 9.46/6.93 (until5(s238)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11268, 35273])).
% 9.46/6.93 tff(35275,plain,
% 9.46/6.93 (~node4(s238)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11272, 22, 35162])).
% 9.46/6.93 tff(35276,plain,
% 9.46/6.93 (xuntil6(s238) | (~until5(s238))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11279, 36, 35275])).
% 9.46/6.93 tff(35277,plain,
% 9.46/6.93 (xuntil6(s238)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35276, 35274])).
% 9.46/6.93 tff(35278,plain,
% 9.46/6.93 (until5(s239)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11285, 35277])).
% 9.46/6.93 tff(35279,plain,
% 9.46/6.93 (~node4(s239)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11289, 22, 35161])).
% 9.46/6.93 tff(35280,plain,
% 9.46/6.93 (xuntil6(s239) | (~until5(s239))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11296, 36, 35279])).
% 9.46/6.93 tff(35281,plain,
% 9.46/6.93 (xuntil6(s239)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35280, 35278])).
% 9.46/6.93 tff(35282,plain,
% 9.46/6.93 (until5(s240)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11302, 35281])).
% 9.46/6.93 tff(35283,plain,
% 9.46/6.93 (~node4(s240)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11306, 22, 35160])).
% 9.46/6.93 tff(35284,plain,
% 9.46/6.93 (xuntil6(s240) | (~until5(s240))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11313, 36, 35283])).
% 9.46/6.93 tff(35285,plain,
% 9.46/6.93 (xuntil6(s240)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35284, 35282])).
% 9.46/6.93 tff(35286,plain,
% 9.46/6.93 (until5(s241)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11319, 35285])).
% 9.46/6.93 tff(35287,plain,
% 9.46/6.93 (~node4(s241)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11323, 22, 35159])).
% 9.46/6.93 tff(35288,plain,
% 9.46/6.93 (xuntil6(s241) | (~until5(s241))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11330, 36, 35287])).
% 9.46/6.93 tff(35289,plain,
% 9.46/6.93 (xuntil6(s241)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35288, 35286])).
% 9.46/6.93 tff(35290,plain,
% 9.46/6.93 (until5(s242)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11336, 35289])).
% 9.46/6.93 tff(35291,plain,
% 9.46/6.93 (~node4(s242)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11340, 22, 35158])).
% 9.46/6.93 tff(35292,plain,
% 9.46/6.93 (xuntil6(s242) | (~until5(s242))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11347, 36, 35291])).
% 9.46/6.93 tff(35293,plain,
% 9.46/6.93 (xuntil6(s242)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35292, 35290])).
% 9.46/6.93 tff(35294,plain,
% 9.46/6.93 (until5(s243)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11353, 35293])).
% 9.46/6.93 tff(35295,plain,
% 9.46/6.93 (~node4(s243)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11357, 22, 35157])).
% 9.46/6.93 tff(35296,plain,
% 9.46/6.93 (xuntil6(s243) | (~until5(s243))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11364, 36, 35295])).
% 9.46/6.93 tff(35297,plain,
% 9.46/6.93 (xuntil6(s243)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35296, 35294])).
% 9.46/6.93 tff(35298,plain,
% 9.46/6.93 (until5(s244)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11370, 35297])).
% 9.46/6.93 tff(35299,plain,
% 9.46/6.93 (~node4(s244)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11374, 22, 35156])).
% 9.46/6.93 tff(35300,plain,
% 9.46/6.93 (xuntil6(s244) | (~until5(s244))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11381, 36, 35299])).
% 9.46/6.93 tff(35301,plain,
% 9.46/6.93 (xuntil6(s244)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35300, 35298])).
% 9.46/6.93 tff(35302,plain,
% 9.46/6.93 (until5(s245)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11387, 35301])).
% 9.46/6.93 tff(35303,plain,
% 9.46/6.93 (~node4(s245)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11391, 22, 35155])).
% 9.46/6.93 tff(35304,plain,
% 9.46/6.93 (xuntil6(s245) | (~until5(s245))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11398, 36, 35303])).
% 9.46/6.93 tff(35305,plain,
% 9.46/6.93 (xuntil6(s245)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35304, 35302])).
% 9.46/6.93 tff(35306,plain,
% 9.46/6.93 (until5(s246)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11404, 35305])).
% 9.46/6.93 tff(35307,plain,
% 9.46/6.93 (~node4(s246)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11408, 22, 35154])).
% 9.46/6.93 tff(35308,plain,
% 9.46/6.93 (xuntil6(s246) | (~until5(s246))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11415, 36, 35307])).
% 9.46/6.93 tff(35309,plain,
% 9.46/6.93 ($false),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35308, 35306, 35153])).
% 9.46/6.93 tff(35310,plain,(always3(s276) | node4(s253) | xuntil6(s276) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.46/6.93 tff(35311,plain,
% 9.46/6.93 (always3(s276)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35310, 35006, 6320, 35000])).
% 9.46/6.93 tff(35312,plain,
% 9.46/6.93 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s276)) | (~m_main_v_state(s276, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s276)) | (~m_main_v_state(s276, c_busy)))),
% 9.46/6.93 inference(rewrite,[status(thm)],[])).
% 9.46/6.93 tff(35313,plain,
% 9.46/6.93 (((~m_main_v_state(s276, c_busy)) | (~always3(s276))) <=> ((~always3(s276)) | (~m_main_v_state(s276, c_busy)))),
% 9.46/6.93 inference(rewrite,[status(thm)],[])).
% 9.46/6.93 tff(35314,plain,
% 9.46/6.93 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s276, c_busy)) | (~always3(s276)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s276)) | (~m_main_v_state(s276, c_busy))))),
% 9.46/6.93 inference(monotonicity,[status(thm)],[35313])).
% 9.46/6.93 tff(35315,plain,
% 9.46/6.93 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s276, c_busy)) | (~always3(s276)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s276)) | (~m_main_v_state(s276, c_busy)))),
% 9.46/6.93 inference(transitivity,[status(thm)],[35314, 35312])).
% 9.46/6.93 tff(35316,plain,
% 9.46/6.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s276, c_busy)) | (~always3(s276)))),
% 9.46/6.93 inference(quant_inst,[status(thm)],[])).
% 9.46/6.93 tff(35317,plain,
% 9.46/6.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s276)) | (~m_main_v_state(s276, c_busy))),
% 9.46/6.93 inference(modus_ponens,[status(thm)],[35316, 35315])).
% 9.46/6.93 tff(35318,plain,
% 9.46/6.93 (~m_main_v_state(s276, c_busy)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35317, 170, 35311])).
% 9.46/6.93 tff(35319,assumption,(~m_main_v_state(s276, c_busy)), introduced(assumption)).
% 9.46/6.93 tff(35320,assumption,(node4(s275)), introduced(assumption)).
% 9.46/6.93 tff(35321,plain,
% 9.46/6.93 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s275) | (~node4(s275)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s275) | (~node4(s275)))),
% 9.46/6.93 inference(rewrite,[status(thm)],[])).
% 9.46/6.93 tff(35322,plain,
% 9.46/6.93 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s275) | (~node4(s275)))),
% 9.46/6.93 inference(quant_inst,[status(thm)],[])).
% 9.46/6.93 tff(35323,plain,
% 9.46/6.93 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s275) | (~node4(s275))),
% 9.46/6.93 inference(modus_ponens,[status(thm)],[35322, 35321])).
% 9.46/6.93 tff(35324,plain,
% 9.46/6.93 (m_main_v_request(s275)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35323, 154, 35320])).
% 9.46/6.93 tff(35325,plain,
% 9.46/6.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s275, s276)) | node2(s275, s276))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s275, s276)) | node2(s275, s276))),
% 9.46/6.93 inference(rewrite,[status(thm)],[])).
% 9.46/6.93 tff(35326,plain,
% 9.46/6.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s275, s276)) | node2(s275, s276))),
% 9.46/6.93 inference(quant_inst,[status(thm)],[])).
% 9.46/6.93 tff(35327,plain,
% 9.46/6.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s275, s276)) | node2(s275, s276)),
% 9.46/6.93 inference(modus_ponens,[status(thm)],[35326, 35325])).
% 9.46/6.93 tff(35328,plain,
% 9.46/6.93 (node2(s275, s276)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35327, 7, 5609])).
% 9.46/6.93 tff(35329,plain,
% 9.46/6.93 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s275, c_ready)) | (~node2(s275, s276)) | m_main_v_state(s276, c_busy) | (~m_main_v_request(s275)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s275, c_ready)) | (~node2(s275, s276)) | m_main_v_state(s276, c_busy) | (~m_main_v_request(s275)))),
% 9.46/6.93 inference(rewrite,[status(thm)],[])).
% 9.46/6.93 tff(35330,plain,
% 9.46/6.93 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s275, c_ready)) | (~node2(s275, s276)) | m_main_v_state(s276, c_busy) | (~m_main_v_request(s275)))),
% 9.46/6.93 inference(quant_inst,[status(thm)],[])).
% 9.46/6.93 tff(35331,plain,
% 9.46/6.93 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s275, c_ready)) | (~node2(s275, s276)) | m_main_v_state(s276, c_busy) | (~m_main_v_request(s275))),
% 9.46/6.93 inference(modus_ponens,[status(thm)],[35330, 35329])).
% 9.46/6.93 tff(35332,plain,
% 9.46/6.93 ((~m_main_v_state(s275, c_ready)) | m_main_v_state(s276, c_busy) | (~m_main_v_request(s275))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35331, 191, 35328])).
% 9.46/6.93 tff(35333,plain,
% 9.46/6.93 (~m_main_v_state(s275, c_ready)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35332, 35324, 35319])).
% 9.46/6.93 tff(35334,plain,
% 9.46/6.93 (always3(s275)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11898, 22, 35320])).
% 9.46/6.93 tff(35335,plain,
% 9.46/6.93 (((~![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)))),
% 9.46/6.93 inference(rewrite,[status(thm)],[])).
% 9.46/6.93 tff(35336,plain,
% 9.46/6.93 (((~m_main_v_state(s275, c_busy)) | (~always3(s275))) <=> ((~always3(s275)) | (~m_main_v_state(s275, c_busy)))),
% 9.46/6.93 inference(rewrite,[status(thm)],[])).
% 9.46/6.93 tff(35337,plain,
% 9.46/6.93 (((~![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))))),
% 9.46/6.93 inference(monotonicity,[status(thm)],[35336])).
% 9.46/6.93 tff(35338,plain,
% 9.46/6.93 (((~![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)))),
% 9.46/6.93 inference(transitivity,[status(thm)],[35337, 35335])).
% 9.46/6.93 tff(35339,plain,
% 9.46/6.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s275, c_busy)) | (~always3(s275)))),
% 9.46/6.93 inference(quant_inst,[status(thm)],[])).
% 9.46/6.93 tff(35340,plain,
% 9.46/6.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s275)) | (~m_main_v_state(s275, c_busy))),
% 9.46/6.93 inference(modus_ponens,[status(thm)],[35339, 35338])).
% 9.46/6.93 tff(35341,plain,
% 9.46/6.93 (~m_main_v_state(s275, c_busy)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35340, 170, 35334])).
% 9.46/6.93 tff(35342,plain,
% 9.46/6.93 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s275, c_busy) | m_main_v_state(s275, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s275, c_busy) | m_main_v_state(s275, c_ready))),
% 9.46/6.93 inference(rewrite,[status(thm)],[])).
% 9.46/6.93 tff(35343,plain,
% 9.46/6.93 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s275, c_busy) | m_main_v_state(s275, c_ready))),
% 9.46/6.93 inference(quant_inst,[status(thm)],[])).
% 9.46/6.93 tff(35344,plain,
% 9.46/6.93 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s275, c_busy) | m_main_v_state(s275, c_ready)),
% 9.46/6.93 inference(modus_ponens,[status(thm)],[35343, 35342])).
% 9.46/6.93 tff(35345,plain,
% 9.46/6.93 ($false),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35344, 213, 35341, 35333])).
% 9.46/6.93 tff(35346,plain,((~node4(s275)) | m_main_v_state(s276, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.46/6.93 tff(35347,plain,
% 9.46/6.93 (~node4(s275)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35346, 35318])).
% 9.46/6.93 tff(35348,plain,
% 9.46/6.93 (always3(s277)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5601, 35311])).
% 9.46/6.93 tff(35349,plain,
% 9.46/6.93 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s277)) | (~m_main_v_state(s277, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s277)) | (~m_main_v_state(s277, c_busy)))),
% 9.46/6.93 inference(rewrite,[status(thm)],[])).
% 9.46/6.93 tff(35350,plain,
% 9.46/6.93 (((~m_main_v_state(s277, c_busy)) | (~always3(s277))) <=> ((~always3(s277)) | (~m_main_v_state(s277, c_busy)))),
% 9.46/6.93 inference(rewrite,[status(thm)],[])).
% 9.46/6.93 tff(35351,plain,
% 9.46/6.93 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s277, c_busy)) | (~always3(s277)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s277)) | (~m_main_v_state(s277, c_busy))))),
% 9.46/6.93 inference(monotonicity,[status(thm)],[35350])).
% 9.46/6.93 tff(35352,plain,
% 9.46/6.93 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s277, c_busy)) | (~always3(s277)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s277)) | (~m_main_v_state(s277, c_busy)))),
% 9.46/6.93 inference(transitivity,[status(thm)],[35351, 35349])).
% 9.46/6.93 tff(35353,plain,
% 9.46/6.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s277, c_busy)) | (~always3(s277)))),
% 9.46/6.93 inference(quant_inst,[status(thm)],[])).
% 9.46/6.93 tff(35354,plain,
% 9.46/6.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s277)) | (~m_main_v_state(s277, c_busy))),
% 9.46/6.93 inference(modus_ponens,[status(thm)],[35353, 35352])).
% 9.46/6.93 tff(35355,plain,
% 9.46/6.93 (~m_main_v_state(s277, c_busy)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35354, 170, 35348])).
% 9.46/6.93 tff(35356,assumption,(~m_main_v_state(s276, c_ready)), introduced(assumption)).
% 9.46/6.93 tff(35357,plain,
% 9.46/6.93 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s275, s276)) | m_main_v_state(s276, c_busy) | node1(s275) | m_main_v_state(s276, 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(s275, s276)) | m_main_v_state(s276, c_busy) | node1(s275) | m_main_v_state(s276, c_ready))),
% 9.46/6.93 inference(rewrite,[status(thm)],[])).
% 9.46/6.93 tff(35358,plain,
% 9.46/6.93 ((node1(s275) | m_main_v_state(s276, c_ready) | (~node2(s275, s276)) | m_main_v_state(s276, c_busy)) <=> ((~node2(s275, s276)) | m_main_v_state(s276, c_busy) | node1(s275) | m_main_v_state(s276, c_ready))),
% 9.46/6.93 inference(rewrite,[status(thm)],[])).
% 9.46/6.93 tff(35359,plain,
% 9.46/6.93 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s275) | m_main_v_state(s276, c_ready) | (~node2(s275, s276)) | m_main_v_state(s276, 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(s275, s276)) | m_main_v_state(s276, c_busy) | node1(s275) | m_main_v_state(s276, c_ready)))),
% 9.46/6.93 inference(monotonicity,[status(thm)],[35358])).
% 9.46/6.93 tff(35360,plain,
% 9.46/6.93 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s275) | m_main_v_state(s276, c_ready) | (~node2(s275, s276)) | m_main_v_state(s276, 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(s275, s276)) | m_main_v_state(s276, c_busy) | node1(s275) | m_main_v_state(s276, c_ready))),
% 9.46/6.93 inference(transitivity,[status(thm)],[35359, 35357])).
% 9.46/6.93 tff(35361,plain,
% 9.46/6.93 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s275) | m_main_v_state(s276, c_ready) | (~node2(s275, s276)) | m_main_v_state(s276, c_busy))),
% 9.46/6.93 inference(quant_inst,[status(thm)],[])).
% 9.46/6.93 tff(35362,plain,
% 9.46/6.93 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s275, s276)) | m_main_v_state(s276, c_busy) | node1(s275) | m_main_v_state(s276, c_ready)),
% 9.46/6.93 inference(modus_ponens,[status(thm)],[35361, 35360])).
% 9.46/6.93 tff(35363,plain,
% 9.46/6.93 (m_main_v_state(s276, c_busy) | node1(s275) | m_main_v_state(s276, c_ready)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35362, 4166, 35328])).
% 9.46/6.93 tff(35364,plain,
% 9.46/6.93 (node1(s275)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35363, 35319, 35356])).
% 9.46/6.93 tff(35365,plain,
% 9.46/6.93 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s275, c_ready) | (~node1(s275)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s275, c_ready) | (~node1(s275)))),
% 9.46/6.93 inference(rewrite,[status(thm)],[])).
% 9.46/6.93 tff(35366,plain,
% 9.46/6.93 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s275, c_ready) | (~node1(s275)))),
% 9.46/6.93 inference(quant_inst,[status(thm)],[])).
% 9.46/6.93 tff(35367,plain,
% 9.46/6.93 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s275, c_ready) | (~node1(s275))),
% 9.46/6.93 inference(modus_ponens,[status(thm)],[35366, 35365])).
% 9.46/6.93 tff(35368,plain,
% 9.46/6.93 (m_main_v_state(s275, c_ready)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35367, 4151, 35364])).
% 9.46/6.93 tff(35369,plain,
% 9.46/6.93 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s275) | (~node1(s275)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s275) | (~node1(s275)))),
% 9.46/6.93 inference(rewrite,[status(thm)],[])).
% 9.46/6.93 tff(35370,plain,
% 9.46/6.93 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s275) | (~node1(s275)))),
% 9.46/6.93 inference(quant_inst,[status(thm)],[])).
% 9.46/6.93 tff(35371,plain,
% 9.46/6.93 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s275) | (~node1(s275))),
% 9.46/6.93 inference(modus_ponens,[status(thm)],[35370, 35369])).
% 9.46/6.93 tff(35372,plain,
% 9.46/6.93 (m_main_v_request(s275)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35371, 14380, 35364])).
% 9.46/6.93 tff(35373,plain,
% 9.46/6.93 ($false),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35332, 35372, 35368, 35319])).
% 9.46/6.93 tff(35374,plain,(m_main_v_state(s276, c_busy) | m_main_v_state(s276, c_ready)), inference(lemma,lemma(discharge,[]))).
% 9.46/6.93 tff(35375,plain,
% 9.46/6.93 (m_main_v_state(s276, c_ready)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35374, 35318])).
% 9.46/6.93 tff(35376,plain,
% 9.46/6.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s276, s277)) | node2(s276, s277))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s276, s277)) | node2(s276, s277))),
% 9.46/6.93 inference(rewrite,[status(thm)],[])).
% 9.46/6.93 tff(35377,plain,
% 9.46/6.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s276, s277)) | node2(s276, s277))),
% 9.46/6.93 inference(quant_inst,[status(thm)],[])).
% 9.46/6.93 tff(35378,plain,
% 9.46/6.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s276, s277)) | node2(s276, s277)),
% 9.46/6.93 inference(modus_ponens,[status(thm)],[35377, 35376])).
% 9.46/6.93 tff(35379,plain,
% 9.46/6.93 (node2(s276, s277)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35378, 7, 5597])).
% 9.46/6.93 tff(35380,plain,
% 9.46/6.93 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s276, c_ready)) | (~node2(s276, s277)) | m_main_v_state(s277, c_busy) | (~m_main_v_request(s276)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s276, c_ready)) | (~node2(s276, s277)) | m_main_v_state(s277, c_busy) | (~m_main_v_request(s276)))),
% 9.46/6.93 inference(rewrite,[status(thm)],[])).
% 9.46/6.93 tff(35381,plain,
% 9.46/6.93 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s276, c_ready)) | (~node2(s276, s277)) | m_main_v_state(s277, c_busy) | (~m_main_v_request(s276)))),
% 9.46/6.93 inference(quant_inst,[status(thm)],[])).
% 9.46/6.93 tff(35382,plain,
% 9.46/6.93 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s276, c_ready)) | (~node2(s276, s277)) | m_main_v_state(s277, c_busy) | (~m_main_v_request(s276))),
% 9.46/6.93 inference(modus_ponens,[status(thm)],[35381, 35380])).
% 9.46/6.93 tff(35383,plain,
% 9.46/6.93 ((~m_main_v_state(s276, c_ready)) | m_main_v_state(s277, c_busy) | (~m_main_v_request(s276))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35382, 191, 35379])).
% 9.46/6.93 tff(35384,plain,
% 9.46/6.93 (~m_main_v_request(s276)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35383, 35375, 35355])).
% 9.46/6.93 tff(35385,plain,
% 9.46/6.93 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s276) | (~node4(s276)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s276) | (~node4(s276)))),
% 9.46/6.93 inference(rewrite,[status(thm)],[])).
% 9.46/6.93 tff(35386,plain,
% 9.46/6.93 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s276) | (~node4(s276)))),
% 9.46/6.93 inference(quant_inst,[status(thm)],[])).
% 9.46/6.93 tff(35387,plain,
% 9.46/6.93 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s276) | (~node4(s276))),
% 9.46/6.93 inference(modus_ponens,[status(thm)],[35386, 35385])).
% 9.46/6.93 tff(35388,plain,
% 9.46/6.93 (~node4(s276)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35387, 154, 35384])).
% 9.46/6.93 tff(35389,plain,
% 9.46/6.93 (~until5(s276)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35011, 35388])).
% 9.46/6.93 tff(35390,plain,
% 9.46/6.93 (~xuntil6(s275)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11911, 35389])).
% 9.46/6.93 tff(35391,plain,
% 9.46/6.93 (~until5(s275)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11905, 36, 35390, 35347])).
% 9.46/6.93 tff(35392,plain,
% 9.46/6.93 (~xuntil6(s274)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11894, 35391])).
% 9.46/6.93 tff(35393,assumption,(~always3(s274)), introduced(assumption)).
% 9.46/6.93 tff(35394,plain,
% 9.46/6.93 (~always3(s273)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5637, 35393])).
% 9.46/6.93 tff(35395,plain,
% 9.46/6.93 (~node4(s273)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11864, 22, 35394])).
% 9.46/6.93 tff(35396,plain,
% 9.46/6.93 (~node4(s274)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11881, 22, 35393])).
% 9.46/6.93 tff(35397,assumption,(~xuntil6(s274)), introduced(assumption)).
% 9.46/6.93 tff(35398,plain,
% 9.46/6.93 (node4(s274) | (~until5(s274))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11888, 36, 35397])).
% 9.46/6.93 tff(35399,plain,
% 9.46/6.93 (~until5(s274)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35398, 35396])).
% 9.46/6.93 tff(35400,plain,
% 9.46/6.93 (~xuntil6(s273)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11877, 35399])).
% 9.46/6.93 tff(35401,plain,
% 9.46/6.93 (~until5(s273)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11871, 36, 35400, 35395])).
% 9.46/6.93 tff(35402,plain,
% 9.46/6.93 (~xuntil6(s272)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11860, 35401])).
% 9.46/6.93 tff(35403,plain,
% 9.46/6.93 (~always3(s272)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5649, 35394])).
% 9.46/6.93 tff(35404,plain,
% 9.46/6.93 (~node4(s272)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11847, 22, 35403])).
% 9.46/6.93 tff(35405,plain,
% 9.46/6.93 (xuntil6(s272) | (~until5(s272))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11854, 36, 35404])).
% 9.46/6.93 tff(35406,plain,
% 9.46/6.93 (~until5(s272)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35405, 35402])).
% 9.46/6.93 tff(35407,plain,
% 9.46/6.93 (~xuntil6(s271)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11843, 35406])).
% 9.46/6.93 tff(35408,plain,
% 9.46/6.93 (~always3(s271)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5661, 35403])).
% 9.46/6.93 tff(35409,plain,
% 9.46/6.93 (~node4(s271)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11830, 22, 35408])).
% 9.46/6.93 tff(35410,plain,
% 9.46/6.93 (xuntil6(s271) | (~until5(s271))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11837, 36, 35409])).
% 9.46/6.93 tff(35411,plain,
% 9.46/6.93 (~until5(s271)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35410, 35407])).
% 9.46/6.93 tff(35412,plain,
% 9.46/6.93 (~xuntil6(s270)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11826, 35411])).
% 9.46/6.93 tff(35413,plain,
% 9.46/6.93 (~always3(s270)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5673, 35408])).
% 9.46/6.93 tff(35414,plain,
% 9.46/6.93 (~node4(s270)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11813, 22, 35413])).
% 9.46/6.93 tff(35415,plain,
% 9.46/6.93 (xuntil6(s270) | (~until5(s270))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11820, 36, 35414])).
% 9.46/6.93 tff(35416,plain,
% 9.46/6.93 (~until5(s270)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35415, 35412])).
% 9.46/6.93 tff(35417,plain,
% 9.46/6.93 (~xuntil6(s269)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11809, 35416])).
% 9.46/6.93 tff(35418,plain,
% 9.46/6.93 (~always3(s269)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5685, 35413])).
% 9.46/6.93 tff(35419,plain,
% 9.46/6.93 (~node4(s269)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11796, 22, 35418])).
% 9.46/6.93 tff(35420,plain,
% 9.46/6.93 (xuntil6(s269) | (~until5(s269))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11803, 36, 35419])).
% 9.46/6.93 tff(35421,plain,
% 9.46/6.93 (~until5(s269)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35420, 35417])).
% 9.46/6.93 tff(35422,plain,
% 9.46/6.93 (~xuntil6(s268)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11792, 35421])).
% 9.46/6.93 tff(35423,plain,
% 9.46/6.93 (~always3(s268)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5697, 35418])).
% 9.46/6.93 tff(35424,plain,
% 9.46/6.93 (~node4(s268)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11779, 22, 35423])).
% 9.46/6.93 tff(35425,plain,
% 9.46/6.93 (xuntil6(s268) | (~until5(s268))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11786, 36, 35424])).
% 9.46/6.93 tff(35426,plain,
% 9.46/6.93 (~until5(s268)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35425, 35422])).
% 9.46/6.93 tff(35427,plain,
% 9.46/6.93 (~xuntil6(s267)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11775, 35426])).
% 9.46/6.93 tff(35428,plain,
% 9.46/6.93 (~always3(s267)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5709, 35423])).
% 9.46/6.93 tff(35429,plain,
% 9.46/6.93 (~node4(s267)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11762, 22, 35428])).
% 9.46/6.93 tff(35430,plain,
% 9.46/6.93 (xuntil6(s267) | (~until5(s267))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11769, 36, 35429])).
% 9.46/6.93 tff(35431,plain,
% 9.46/6.93 (~until5(s267)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35430, 35427])).
% 9.46/6.93 tff(35432,plain,
% 9.46/6.93 (~xuntil6(s266)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11758, 35431])).
% 9.46/6.93 tff(35433,plain,
% 9.46/6.93 (~always3(s266)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5721, 35428])).
% 9.46/6.93 tff(35434,plain,
% 9.46/6.93 (~node4(s266)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11745, 22, 35433])).
% 9.46/6.93 tff(35435,plain,
% 9.46/6.93 (xuntil6(s266) | (~until5(s266))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11752, 36, 35434])).
% 9.46/6.93 tff(35436,plain,
% 9.46/6.93 (~until5(s266)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35435, 35432])).
% 9.46/6.93 tff(35437,plain,
% 9.46/6.93 (~xuntil6(s265)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11741, 35436])).
% 9.46/6.93 tff(35438,plain,
% 9.46/6.93 (~always3(s265)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5733, 35433])).
% 9.46/6.93 tff(35439,plain,
% 9.46/6.93 (~node4(s265)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11728, 22, 35438])).
% 9.46/6.93 tff(35440,plain,
% 9.46/6.93 (xuntil6(s265) | (~until5(s265))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11735, 36, 35439])).
% 9.46/6.93 tff(35441,plain,
% 9.46/6.93 (~until5(s265)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35440, 35437])).
% 9.46/6.93 tff(35442,plain,
% 9.46/6.93 (~xuntil6(s264)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11724, 35441])).
% 9.46/6.93 tff(35443,plain,
% 9.46/6.93 (~always3(s264)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5745, 35438])).
% 9.46/6.93 tff(35444,plain,
% 9.46/6.93 (~node4(s264)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11711, 22, 35443])).
% 9.46/6.93 tff(35445,plain,
% 9.46/6.93 (xuntil6(s264) | (~until5(s264))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11718, 36, 35444])).
% 9.46/6.93 tff(35446,plain,
% 9.46/6.93 (~until5(s264)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35445, 35442])).
% 9.46/6.93 tff(35447,plain,
% 9.46/6.93 (~xuntil6(s263)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11707, 35446])).
% 9.46/6.93 tff(35448,plain,
% 9.46/6.93 (~always3(s263)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5757, 35443])).
% 9.46/6.93 tff(35449,plain,
% 9.46/6.93 (~node4(s263)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11694, 22, 35448])).
% 9.46/6.93 tff(35450,plain,
% 9.46/6.93 (xuntil6(s263) | (~until5(s263))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11701, 36, 35449])).
% 9.46/6.93 tff(35451,plain,
% 9.46/6.93 (~until5(s263)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35450, 35447])).
% 9.46/6.93 tff(35452,plain,
% 9.46/6.93 (~xuntil6(s262)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11690, 35451])).
% 9.46/6.93 tff(35453,plain,
% 9.46/6.93 (~always3(s262)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5769, 35448])).
% 9.46/6.93 tff(35454,plain,
% 9.46/6.93 (~node4(s262)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11677, 22, 35453])).
% 9.46/6.93 tff(35455,plain,
% 9.46/6.93 (xuntil6(s262) | (~until5(s262))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11684, 36, 35454])).
% 9.46/6.93 tff(35456,plain,
% 9.46/6.93 (~until5(s262)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35455, 35452])).
% 9.46/6.93 tff(35457,plain,
% 9.46/6.93 (~xuntil6(s261)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11673, 35456])).
% 9.46/6.93 tff(35458,plain,
% 9.46/6.93 (~always3(s261)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5781, 35453])).
% 9.46/6.93 tff(35459,plain,
% 9.46/6.93 (~node4(s261)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11660, 22, 35458])).
% 9.46/6.93 tff(35460,plain,
% 9.46/6.93 (xuntil6(s261) | (~until5(s261))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11667, 36, 35459])).
% 9.46/6.93 tff(35461,plain,
% 9.46/6.93 (~until5(s261)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35460, 35457])).
% 9.46/6.93 tff(35462,plain,
% 9.46/6.93 (~xuntil6(s260)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11656, 35461])).
% 9.46/6.93 tff(35463,plain,
% 9.46/6.93 (~always3(s260)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5793, 35458])).
% 9.46/6.93 tff(35464,plain,
% 9.46/6.93 (~node4(s260)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11643, 22, 35463])).
% 9.46/6.93 tff(35465,plain,
% 9.46/6.93 (xuntil6(s260) | (~until5(s260))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11650, 36, 35464])).
% 9.46/6.93 tff(35466,plain,
% 9.46/6.93 (~until5(s260)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35465, 35462])).
% 9.46/6.93 tff(35467,plain,
% 9.46/6.93 (~xuntil6(s259)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11639, 35466])).
% 9.46/6.93 tff(35468,plain,
% 9.46/6.93 (~always3(s259)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5805, 35463])).
% 9.46/6.93 tff(35469,plain,
% 9.46/6.93 (~node4(s259)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11626, 22, 35468])).
% 9.46/6.93 tff(35470,plain,
% 9.46/6.93 (xuntil6(s259) | (~until5(s259))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11633, 36, 35469])).
% 9.46/6.93 tff(35471,plain,
% 9.46/6.93 (~until5(s259)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35470, 35467])).
% 9.46/6.93 tff(35472,plain,
% 9.46/6.93 (~xuntil6(s258)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11622, 35471])).
% 9.46/6.93 tff(35473,plain,
% 9.46/6.93 (~always3(s258)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5817, 35468])).
% 9.46/6.93 tff(35474,plain,
% 9.46/6.93 (~node4(s258)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11609, 22, 35473])).
% 9.46/6.93 tff(35475,plain,
% 9.46/6.93 (xuntil6(s258) | (~until5(s258))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11616, 36, 35474])).
% 9.46/6.93 tff(35476,plain,
% 9.46/6.93 (~until5(s258)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35475, 35472])).
% 9.46/6.93 tff(35477,plain,
% 9.46/6.93 (~xuntil6(s257)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11605, 35476])).
% 9.46/6.93 tff(35478,plain,
% 9.46/6.93 (~always3(s257)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5829, 35473])).
% 9.46/6.93 tff(35479,plain,
% 9.46/6.93 (~node4(s257)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11592, 22, 35478])).
% 9.46/6.93 tff(35480,plain,
% 9.46/6.93 (xuntil6(s257) | (~until5(s257))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11599, 36, 35479])).
% 9.46/6.93 tff(35481,plain,
% 9.46/6.93 (~until5(s257)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35480, 35477])).
% 9.46/6.93 tff(35482,plain,
% 9.46/6.93 (~xuntil6(s256)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11588, 35481])).
% 9.46/6.93 tff(35483,plain,
% 9.46/6.93 (~always3(s256)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5841, 35478])).
% 9.46/6.93 tff(35484,plain,
% 9.46/6.93 (~node4(s256)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11575, 22, 35483])).
% 9.46/6.93 tff(35485,plain,
% 9.46/6.93 (xuntil6(s256) | (~until5(s256))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11582, 36, 35484])).
% 9.46/6.93 tff(35486,plain,
% 9.46/6.93 (~until5(s256)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35485, 35482])).
% 9.46/6.93 tff(35487,plain,
% 9.46/6.93 (~xuntil6(s255)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11571, 35486])).
% 9.46/6.93 tff(35488,plain,
% 9.46/6.93 (~always3(s255)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5853, 35483])).
% 9.46/6.93 tff(35489,plain,
% 9.46/6.93 (~node4(s255)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11558, 22, 35488])).
% 9.46/6.93 tff(35490,plain,
% 9.46/6.93 (xuntil6(s255) | (~until5(s255))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11565, 36, 35489])).
% 9.46/6.93 tff(35491,plain,
% 9.46/6.93 (~until5(s255)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35490, 35487])).
% 9.46/6.93 tff(35492,plain,
% 9.46/6.93 (~xuntil6(s254)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11554, 35491])).
% 9.46/6.93 tff(35493,plain,
% 9.46/6.93 (~always3(s254)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5865, 35488])).
% 9.46/6.93 tff(35494,plain,
% 9.46/6.93 (~node4(s254)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11541, 22, 35493])).
% 9.46/6.93 tff(35495,plain,
% 9.46/6.93 (xuntil6(s254) | (~until5(s254))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11548, 36, 35494])).
% 9.46/6.93 tff(35496,plain,
% 9.46/6.93 (~until5(s254)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35495, 35492])).
% 9.46/6.93 tff(35497,plain,
% 9.46/6.93 (~xuntil6(s253)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11537, 35496])).
% 9.46/6.93 tff(35498,plain,
% 9.46/6.93 (~until5(s253)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11532, 35497])).
% 9.46/6.93 tff(35499,plain,
% 9.46/6.93 (~xuntil6(s252)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11523, 35498])).
% 9.46/6.93 tff(35500,plain,
% 9.46/6.93 (~always3(s253)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5092, 35493])).
% 9.46/6.93 tff(35501,plain,
% 9.46/6.93 (~always3(s252)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5878, 35500])).
% 9.46/6.93 tff(35502,plain,
% 9.46/6.93 (~node4(s252)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11510, 22, 35501])).
% 9.46/6.93 tff(35503,plain,
% 9.46/6.93 (xuntil6(s252) | (~until5(s252))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11517, 36, 35502])).
% 9.46/6.93 tff(35504,plain,
% 9.46/6.93 (~until5(s252)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35503, 35499])).
% 9.46/6.93 tff(35505,plain,
% 9.46/6.93 (~xuntil6(s251)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11506, 35504])).
% 9.46/6.93 tff(35506,plain,
% 9.46/6.93 (~always3(s251)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5890, 35501])).
% 9.46/6.93 tff(35507,plain,
% 9.46/6.93 (~node4(s251)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11493, 22, 35506])).
% 9.46/6.93 tff(35508,plain,
% 9.46/6.93 (xuntil6(s251) | (~until5(s251))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11500, 36, 35507])).
% 9.46/6.93 tff(35509,plain,
% 9.46/6.93 (~until5(s251)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35508, 35505])).
% 9.46/6.93 tff(35510,plain,
% 9.46/6.93 (~xuntil6(s250)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11489, 35509])).
% 9.46/6.93 tff(35511,plain,
% 9.46/6.93 (~always3(s250)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5902, 35506])).
% 9.46/6.93 tff(35512,plain,
% 9.46/6.93 (~node4(s250)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11476, 22, 35511])).
% 9.46/6.93 tff(35513,plain,
% 9.46/6.93 (xuntil6(s250) | (~until5(s250))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11483, 36, 35512])).
% 9.46/6.93 tff(35514,plain,
% 9.46/6.93 (~until5(s250)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35513, 35510])).
% 9.46/6.93 tff(35515,plain,
% 9.46/6.93 (~xuntil6(s249)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11472, 35514])).
% 9.46/6.93 tff(35516,plain,
% 9.46/6.93 (~always3(s249)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5914, 35511])).
% 9.46/6.93 tff(35517,plain,
% 9.46/6.93 (~node4(s249)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11459, 22, 35516])).
% 9.46/6.93 tff(35518,plain,
% 9.46/6.93 (xuntil6(s249) | (~until5(s249))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11466, 36, 35517])).
% 9.46/6.93 tff(35519,plain,
% 9.46/6.93 (~until5(s249)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35518, 35515])).
% 9.46/6.93 tff(35520,plain,
% 9.46/6.93 (~xuntil6(s248)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11455, 35519])).
% 9.46/6.93 tff(35521,plain,
% 9.46/6.93 (~always3(s248)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5926, 35516])).
% 9.46/6.93 tff(35522,plain,
% 9.46/6.93 (~node4(s248)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11442, 22, 35521])).
% 9.46/6.93 tff(35523,plain,
% 9.46/6.93 (xuntil6(s248) | (~until5(s248))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11449, 36, 35522])).
% 9.46/6.93 tff(35524,plain,
% 9.46/6.93 (~until5(s248)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35523, 35520])).
% 9.46/6.93 tff(35525,plain,
% 9.46/6.93 (~xuntil6(s247)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11438, 35524])).
% 9.46/6.93 tff(35526,plain,
% 9.46/6.93 (~always3(s247)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5938, 35521])).
% 9.46/6.93 tff(35527,plain,
% 9.46/6.93 (~node4(s247)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11425, 22, 35526])).
% 9.46/6.93 tff(35528,plain,
% 9.46/6.93 (xuntil6(s247) | (~until5(s247))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11432, 36, 35527])).
% 9.46/6.93 tff(35529,plain,
% 9.46/6.93 (~until5(s247)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35528, 35525])).
% 9.46/6.93 tff(35530,plain,
% 9.46/6.93 (~xuntil6(s246)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11421, 35529])).
% 9.46/6.93 tff(35531,plain,
% 9.46/6.93 (~always3(s246)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5950, 35526])).
% 9.46/6.93 tff(35532,plain,
% 9.46/6.93 (~node4(s246)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11408, 22, 35531])).
% 9.46/6.93 tff(35533,plain,
% 9.46/6.93 (xuntil6(s246) | (~until5(s246))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11415, 36, 35532])).
% 9.46/6.93 tff(35534,plain,
% 9.46/6.93 (~until5(s246)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35533, 35530])).
% 9.46/6.93 tff(35535,plain,
% 9.46/6.93 (~xuntil6(s245)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11404, 35534])).
% 9.46/6.93 tff(35536,plain,
% 9.46/6.93 (~always3(s245)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5962, 35531])).
% 9.46/6.93 tff(35537,plain,
% 9.46/6.93 (~always3(s244)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5974, 35536])).
% 9.46/6.93 tff(35538,plain,
% 9.46/6.93 (~always3(s243)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5986, 35537])).
% 9.46/6.93 tff(35539,plain,
% 9.46/6.93 (~always3(s242)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[5998, 35538])).
% 9.46/6.93 tff(35540,plain,
% 9.46/6.93 (~always3(s241)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6010, 35539])).
% 9.46/6.93 tff(35541,plain,
% 9.46/6.93 (~always3(s240)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6022, 35540])).
% 9.46/6.93 tff(35542,plain,
% 9.46/6.93 (~always3(s239)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6034, 35541])).
% 9.46/6.93 tff(35543,plain,
% 9.46/6.93 (~always3(s238)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6046, 35542])).
% 9.46/6.93 tff(35544,plain,
% 9.46/6.93 (~always3(s237)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6058, 35543])).
% 9.46/6.93 tff(35545,plain,
% 9.46/6.93 (~always3(s236)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6070, 35544])).
% 9.46/6.93 tff(35546,plain,
% 9.46/6.93 (~always3(s235)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6082, 35545])).
% 9.46/6.93 tff(35547,plain,
% 9.46/6.93 (~always3(s234)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6094, 35546])).
% 9.46/6.93 tff(35548,plain,
% 9.46/6.93 (~always3(s233)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6106, 35547])).
% 9.46/6.93 tff(35549,plain,
% 9.46/6.93 (~always3(s232)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6118, 35548])).
% 9.46/6.93 tff(35550,plain,
% 9.46/6.93 (~always3(s231)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6130, 35549])).
% 9.46/6.93 tff(35551,plain,
% 9.46/6.93 (~always3(s230)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6142, 35550])).
% 9.46/6.93 tff(35552,plain,
% 9.46/6.93 (~always3(s229)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6154, 35551])).
% 9.46/6.93 tff(35553,plain,
% 9.46/6.93 (~always3(s228)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6166, 35552])).
% 9.46/6.93 tff(35554,plain,
% 9.46/6.93 (~always3(s227)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6178, 35553])).
% 9.46/6.93 tff(35555,plain,
% 9.46/6.93 (~always3(s226)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6190, 35554])).
% 9.46/6.93 tff(35556,plain,
% 9.46/6.93 (~always3(s225)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6202, 35555])).
% 9.46/6.93 tff(35557,plain,
% 9.46/6.93 (~always3(s224)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6214, 35556])).
% 9.46/6.93 tff(35558,plain,
% 9.46/6.93 (~always3(s223)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6226, 35557])).
% 9.46/6.93 tff(35559,plain,
% 9.46/6.93 (~always3(s222)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6238, 35558])).
% 9.46/6.93 tff(35560,plain,
% 9.46/6.93 (~always3(s221)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6250, 35559])).
% 9.46/6.93 tff(35561,plain,
% 9.46/6.93 (~always3(s220)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6262, 35560])).
% 9.46/6.93 tff(35562,plain,
% 9.46/6.93 (~always3(s219)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6274, 35561])).
% 9.46/6.93 tff(35563,plain,
% 9.46/6.93 (~always3(s218)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6286, 35562])).
% 9.46/6.93 tff(35564,plain,
% 9.46/6.93 (~always3(s217)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6298, 35563])).
% 9.46/6.93 tff(35565,plain,
% 9.46/6.93 (~node4(s217)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6302, 22, 35564])).
% 9.46/6.93 tff(35566,plain,
% 9.46/6.93 (~always3(s216)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6314, 35564])).
% 9.46/6.93 tff(35567,plain,
% 9.46/6.93 (~node4(s216)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6318, 22, 35566])).
% 9.46/6.93 tff(35568,plain,
% 9.46/6.93 (~always3(s215)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[6331, 35566])).
% 9.46/6.93 tff(35569,plain,
% 9.46/6.93 (xuntil6(s215)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[10898, 35568, 6320])).
% 9.46/6.93 tff(35570,plain,
% 9.46/6.93 (until5(s216)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[10903, 35569])).
% 9.46/6.93 tff(35571,plain,
% 9.46/6.93 (xuntil6(s216) | node4(s216)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[10910, 36, 35570])).
% 9.46/6.93 tff(35572,plain,
% 9.46/6.93 (xuntil6(s216)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35571, 35567])).
% 9.46/6.93 tff(35573,plain,
% 9.46/6.93 (until5(s217)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[10916, 35572])).
% 9.46/6.93 tff(35574,plain,
% 9.46/6.93 (xuntil6(s217)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[10923, 36, 35573, 35565])).
% 9.46/6.93 tff(35575,plain,
% 9.46/6.93 (until5(s218)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[10928, 35574])).
% 9.46/6.93 tff(35576,plain,
% 9.46/6.93 (~node4(s218)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[10932, 22, 35563])).
% 9.46/6.93 tff(35577,plain,
% 9.46/6.93 (xuntil6(s218) | (~until5(s218))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[10939, 36, 35576])).
% 9.46/6.93 tff(35578,plain,
% 9.46/6.93 (xuntil6(s218)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35577, 35575])).
% 9.46/6.93 tff(35579,plain,
% 9.46/6.93 (until5(s219)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[10945, 35578])).
% 9.46/6.93 tff(35580,plain,
% 9.46/6.93 (~node4(s219)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[10949, 22, 35562])).
% 9.46/6.93 tff(35581,plain,
% 9.46/6.93 (xuntil6(s219) | (~until5(s219))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[10956, 36, 35580])).
% 9.46/6.93 tff(35582,plain,
% 9.46/6.93 (xuntil6(s219)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35581, 35579])).
% 9.46/6.93 tff(35583,plain,
% 9.46/6.93 (until5(s220)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[10962, 35582])).
% 9.46/6.93 tff(35584,plain,
% 9.46/6.93 (~node4(s220)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[10966, 22, 35561])).
% 9.46/6.93 tff(35585,plain,
% 9.46/6.93 (xuntil6(s220) | (~until5(s220))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[10973, 36, 35584])).
% 9.46/6.93 tff(35586,plain,
% 9.46/6.93 (xuntil6(s220)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35585, 35583])).
% 9.46/6.93 tff(35587,plain,
% 9.46/6.93 (until5(s221)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[10979, 35586])).
% 9.46/6.93 tff(35588,plain,
% 9.46/6.93 (~node4(s221)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[10983, 22, 35560])).
% 9.46/6.93 tff(35589,plain,
% 9.46/6.93 (xuntil6(s221) | (~until5(s221))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[10990, 36, 35588])).
% 9.46/6.93 tff(35590,plain,
% 9.46/6.93 (xuntil6(s221)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35589, 35587])).
% 9.46/6.93 tff(35591,plain,
% 9.46/6.93 (until5(s222)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[10996, 35590])).
% 9.46/6.93 tff(35592,plain,
% 9.46/6.93 (~node4(s222)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11000, 22, 35559])).
% 9.46/6.93 tff(35593,plain,
% 9.46/6.93 (xuntil6(s222) | (~until5(s222))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11007, 36, 35592])).
% 9.46/6.93 tff(35594,plain,
% 9.46/6.93 (xuntil6(s222)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35593, 35591])).
% 9.46/6.93 tff(35595,plain,
% 9.46/6.93 (until5(s223)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11013, 35594])).
% 9.46/6.93 tff(35596,plain,
% 9.46/6.93 (~node4(s223)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11017, 22, 35558])).
% 9.46/6.93 tff(35597,plain,
% 9.46/6.93 (xuntil6(s223) | (~until5(s223))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11024, 36, 35596])).
% 9.46/6.93 tff(35598,plain,
% 9.46/6.93 (xuntil6(s223)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35597, 35595])).
% 9.46/6.93 tff(35599,plain,
% 9.46/6.93 (until5(s224)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11030, 35598])).
% 9.46/6.93 tff(35600,plain,
% 9.46/6.93 (~node4(s224)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11034, 22, 35557])).
% 9.46/6.93 tff(35601,plain,
% 9.46/6.93 (xuntil6(s224) | (~until5(s224))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11041, 36, 35600])).
% 9.46/6.93 tff(35602,plain,
% 9.46/6.93 (xuntil6(s224)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35601, 35599])).
% 9.46/6.93 tff(35603,plain,
% 9.46/6.93 (until5(s225)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11047, 35602])).
% 9.46/6.93 tff(35604,plain,
% 9.46/6.93 (~node4(s225)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11051, 22, 35556])).
% 9.46/6.93 tff(35605,plain,
% 9.46/6.93 (xuntil6(s225) | (~until5(s225))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11058, 36, 35604])).
% 9.46/6.93 tff(35606,plain,
% 9.46/6.93 (xuntil6(s225)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35605, 35603])).
% 9.46/6.93 tff(35607,plain,
% 9.46/6.93 (until5(s226)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11064, 35606])).
% 9.46/6.93 tff(35608,plain,
% 9.46/6.93 (~node4(s226)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11068, 22, 35555])).
% 9.46/6.93 tff(35609,plain,
% 9.46/6.93 (xuntil6(s226) | (~until5(s226))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11075, 36, 35608])).
% 9.46/6.93 tff(35610,plain,
% 9.46/6.93 (xuntil6(s226)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35609, 35607])).
% 9.46/6.93 tff(35611,plain,
% 9.46/6.93 (until5(s227)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11081, 35610])).
% 9.46/6.93 tff(35612,plain,
% 9.46/6.93 (~node4(s227)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11085, 22, 35554])).
% 9.46/6.93 tff(35613,plain,
% 9.46/6.93 (xuntil6(s227) | (~until5(s227))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11092, 36, 35612])).
% 9.46/6.93 tff(35614,plain,
% 9.46/6.93 (xuntil6(s227)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35613, 35611])).
% 9.46/6.93 tff(35615,plain,
% 9.46/6.93 (until5(s228)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11098, 35614])).
% 9.46/6.93 tff(35616,plain,
% 9.46/6.93 (~node4(s228)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11102, 22, 35553])).
% 9.46/6.93 tff(35617,plain,
% 9.46/6.93 (xuntil6(s228) | (~until5(s228))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11109, 36, 35616])).
% 9.46/6.93 tff(35618,plain,
% 9.46/6.93 (xuntil6(s228)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35617, 35615])).
% 9.46/6.93 tff(35619,plain,
% 9.46/6.93 (until5(s229)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11115, 35618])).
% 9.46/6.93 tff(35620,plain,
% 9.46/6.93 (~node4(s229)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11119, 22, 35552])).
% 9.46/6.93 tff(35621,plain,
% 9.46/6.93 (xuntil6(s229) | (~until5(s229))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11126, 36, 35620])).
% 9.46/6.93 tff(35622,plain,
% 9.46/6.93 (xuntil6(s229)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35621, 35619])).
% 9.46/6.93 tff(35623,plain,
% 9.46/6.93 (until5(s230)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11132, 35622])).
% 9.46/6.93 tff(35624,plain,
% 9.46/6.93 (~node4(s230)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11136, 22, 35551])).
% 9.46/6.93 tff(35625,plain,
% 9.46/6.93 (xuntil6(s230) | (~until5(s230))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11143, 36, 35624])).
% 9.46/6.93 tff(35626,plain,
% 9.46/6.93 (xuntil6(s230)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35625, 35623])).
% 9.46/6.93 tff(35627,plain,
% 9.46/6.93 (until5(s231)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11149, 35626])).
% 9.46/6.93 tff(35628,plain,
% 9.46/6.93 (~node4(s231)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11153, 22, 35550])).
% 9.46/6.93 tff(35629,plain,
% 9.46/6.93 (xuntil6(s231) | (~until5(s231))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11160, 36, 35628])).
% 9.46/6.93 tff(35630,plain,
% 9.46/6.93 (xuntil6(s231)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35629, 35627])).
% 9.46/6.93 tff(35631,plain,
% 9.46/6.93 (until5(s232)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11166, 35630])).
% 9.46/6.93 tff(35632,plain,
% 9.46/6.93 (~node4(s232)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11170, 22, 35549])).
% 9.46/6.93 tff(35633,plain,
% 9.46/6.93 (xuntil6(s232) | (~until5(s232))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11177, 36, 35632])).
% 9.46/6.93 tff(35634,plain,
% 9.46/6.93 (xuntil6(s232)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35633, 35631])).
% 9.46/6.93 tff(35635,plain,
% 9.46/6.93 (until5(s233)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11183, 35634])).
% 9.46/6.93 tff(35636,plain,
% 9.46/6.93 (~node4(s233)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11187, 22, 35548])).
% 9.46/6.93 tff(35637,plain,
% 9.46/6.93 (xuntil6(s233) | (~until5(s233))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11194, 36, 35636])).
% 9.46/6.93 tff(35638,plain,
% 9.46/6.93 (xuntil6(s233)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35637, 35635])).
% 9.46/6.93 tff(35639,plain,
% 9.46/6.93 (until5(s234)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11200, 35638])).
% 9.46/6.93 tff(35640,plain,
% 9.46/6.93 (~node4(s234)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11204, 22, 35547])).
% 9.46/6.93 tff(35641,plain,
% 9.46/6.93 (xuntil6(s234) | (~until5(s234))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11211, 36, 35640])).
% 9.46/6.93 tff(35642,plain,
% 9.46/6.93 (xuntil6(s234)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35641, 35639])).
% 9.46/6.93 tff(35643,plain,
% 9.46/6.93 (until5(s235)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11217, 35642])).
% 9.46/6.93 tff(35644,plain,
% 9.46/6.93 (~node4(s235)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11221, 22, 35546])).
% 9.46/6.93 tff(35645,plain,
% 9.46/6.93 (xuntil6(s235) | (~until5(s235))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11228, 36, 35644])).
% 9.46/6.93 tff(35646,plain,
% 9.46/6.93 (xuntil6(s235)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35645, 35643])).
% 9.46/6.93 tff(35647,plain,
% 9.46/6.93 (until5(s236)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11234, 35646])).
% 9.46/6.93 tff(35648,plain,
% 9.46/6.93 (~node4(s236)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11238, 22, 35545])).
% 9.46/6.93 tff(35649,plain,
% 9.46/6.93 (xuntil6(s236) | (~until5(s236))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11245, 36, 35648])).
% 9.46/6.93 tff(35650,plain,
% 9.46/6.93 (xuntil6(s236)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35649, 35647])).
% 9.46/6.93 tff(35651,plain,
% 9.46/6.93 (until5(s237)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11251, 35650])).
% 9.46/6.93 tff(35652,plain,
% 9.46/6.93 (~node4(s237)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11255, 22, 35544])).
% 9.46/6.93 tff(35653,plain,
% 9.46/6.93 (xuntil6(s237) | (~until5(s237))),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11262, 36, 35652])).
% 9.46/6.93 tff(35654,plain,
% 9.46/6.93 (xuntil6(s237)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[35653, 35651])).
% 9.46/6.93 tff(35655,plain,
% 9.46/6.93 (until5(s238)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11268, 35654])).
% 9.46/6.93 tff(35656,plain,
% 9.46/6.93 (~node4(s238)),
% 9.46/6.93 inference(unit_resolution,[status(thm)],[11272, 22, 35543])).
% 9.46/6.94 tff(35657,plain,
% 9.46/6.94 (xuntil6(s238) | (~until5(s238))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11279, 36, 35656])).
% 9.46/6.94 tff(35658,plain,
% 9.46/6.94 (xuntil6(s238)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35657, 35655])).
% 9.46/6.94 tff(35659,plain,
% 9.46/6.94 (until5(s239)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11285, 35658])).
% 9.46/6.94 tff(35660,plain,
% 9.46/6.94 (~node4(s239)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11289, 22, 35542])).
% 9.46/6.94 tff(35661,plain,
% 9.46/6.94 (xuntil6(s239) | (~until5(s239))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11296, 36, 35660])).
% 9.46/6.94 tff(35662,plain,
% 9.46/6.94 (xuntil6(s239)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35661, 35659])).
% 9.46/6.94 tff(35663,plain,
% 9.46/6.94 (until5(s240)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11302, 35662])).
% 9.46/6.94 tff(35664,plain,
% 9.46/6.94 (~node4(s240)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11306, 22, 35541])).
% 9.46/6.94 tff(35665,plain,
% 9.46/6.94 (xuntil6(s240) | (~until5(s240))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11313, 36, 35664])).
% 9.46/6.94 tff(35666,plain,
% 9.46/6.94 (xuntil6(s240)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35665, 35663])).
% 9.46/6.94 tff(35667,plain,
% 9.46/6.94 (until5(s241)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11319, 35666])).
% 9.46/6.94 tff(35668,plain,
% 9.46/6.94 (~node4(s241)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11323, 22, 35540])).
% 9.46/6.94 tff(35669,plain,
% 9.46/6.94 (xuntil6(s241) | (~until5(s241))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11330, 36, 35668])).
% 9.46/6.94 tff(35670,plain,
% 9.46/6.94 (xuntil6(s241)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35669, 35667])).
% 9.46/6.94 tff(35671,plain,
% 9.46/6.94 (until5(s242)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11336, 35670])).
% 9.46/6.94 tff(35672,plain,
% 9.46/6.94 (~node4(s242)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11340, 22, 35539])).
% 9.46/6.94 tff(35673,plain,
% 9.46/6.94 (xuntil6(s242) | (~until5(s242))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11347, 36, 35672])).
% 9.46/6.94 tff(35674,plain,
% 9.46/6.94 (xuntil6(s242)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35673, 35671])).
% 9.46/6.94 tff(35675,plain,
% 9.46/6.94 (until5(s243)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11353, 35674])).
% 9.46/6.94 tff(35676,plain,
% 9.46/6.94 (~node4(s243)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11357, 22, 35538])).
% 9.46/6.94 tff(35677,plain,
% 9.46/6.94 (xuntil6(s243) | (~until5(s243))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11364, 36, 35676])).
% 9.46/6.94 tff(35678,plain,
% 9.46/6.94 (xuntil6(s243)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35677, 35675])).
% 9.46/6.94 tff(35679,plain,
% 9.46/6.94 (until5(s244)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11370, 35678])).
% 9.46/6.94 tff(35680,plain,
% 9.46/6.94 (~node4(s244)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11374, 22, 35537])).
% 9.46/6.94 tff(35681,plain,
% 9.46/6.94 (xuntil6(s244) | (~until5(s244))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11381, 36, 35680])).
% 9.46/6.94 tff(35682,plain,
% 9.46/6.94 (xuntil6(s244)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35681, 35679])).
% 9.46/6.94 tff(35683,plain,
% 9.46/6.94 (until5(s245)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11387, 35682])).
% 9.46/6.94 tff(35684,plain,
% 9.46/6.94 (~node4(s245)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11391, 22, 35536])).
% 9.46/6.94 tff(35685,plain,
% 9.46/6.94 (xuntil6(s245) | (~until5(s245))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11398, 36, 35684])).
% 9.46/6.94 tff(35686,plain,
% 9.46/6.94 ($false),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35685, 35683, 35535])).
% 9.46/6.94 tff(35687,plain,(always3(s274) | node4(s253) | xuntil6(s274) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.46/6.94 tff(35688,plain,
% 9.46/6.94 (always3(s274)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35687, 35392, 6320, 35006])).
% 9.46/6.94 tff(35689,plain,
% 9.46/6.94 (((~![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)))),
% 9.46/6.94 inference(rewrite,[status(thm)],[])).
% 9.46/6.94 tff(35690,plain,
% 9.46/6.94 (((~m_main_v_state(s274, c_busy)) | (~always3(s274))) <=> ((~always3(s274)) | (~m_main_v_state(s274, c_busy)))),
% 9.46/6.94 inference(rewrite,[status(thm)],[])).
% 9.46/6.94 tff(35691,plain,
% 9.46/6.94 (((~![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))))),
% 9.46/6.94 inference(monotonicity,[status(thm)],[35690])).
% 9.46/6.94 tff(35692,plain,
% 9.46/6.94 (((~![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)))),
% 9.46/6.94 inference(transitivity,[status(thm)],[35691, 35689])).
% 9.46/6.94 tff(35693,plain,
% 9.46/6.94 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s274, c_busy)) | (~always3(s274)))),
% 9.46/6.94 inference(quant_inst,[status(thm)],[])).
% 9.46/6.94 tff(35694,plain,
% 9.46/6.94 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s274)) | (~m_main_v_state(s274, c_busy))),
% 9.46/6.94 inference(modus_ponens,[status(thm)],[35693, 35692])).
% 9.46/6.94 tff(35695,plain,
% 9.46/6.94 (~m_main_v_state(s274, c_busy)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35694, 170, 35688])).
% 9.46/6.94 tff(35696,assumption,(~m_main_v_state(s274, c_busy)), introduced(assumption)).
% 9.46/6.94 tff(35697,assumption,(node4(s273)), introduced(assumption)).
% 9.46/6.94 tff(35698,plain,
% 9.46/6.94 (((~![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)))),
% 9.46/6.94 inference(rewrite,[status(thm)],[])).
% 9.46/6.94 tff(35699,plain,
% 9.46/6.94 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s273) | (~node4(s273)))),
% 9.46/6.94 inference(quant_inst,[status(thm)],[])).
% 9.46/6.94 tff(35700,plain,
% 9.46/6.94 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s273) | (~node4(s273))),
% 9.46/6.94 inference(modus_ponens,[status(thm)],[35699, 35698])).
% 9.46/6.94 tff(35701,plain,
% 9.46/6.94 (m_main_v_request(s273)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35700, 154, 35697])).
% 9.46/6.94 tff(35702,plain,
% 9.46/6.94 (((~![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))),
% 9.46/6.94 inference(rewrite,[status(thm)],[])).
% 9.46/6.94 tff(35703,plain,
% 9.46/6.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s273, s274)) | node2(s273, s274))),
% 9.46/6.94 inference(quant_inst,[status(thm)],[])).
% 9.46/6.94 tff(35704,plain,
% 9.46/6.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s273, s274)) | node2(s273, s274)),
% 9.46/6.94 inference(modus_ponens,[status(thm)],[35703, 35702])).
% 9.46/6.94 tff(35705,plain,
% 9.46/6.94 (node2(s273, s274)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35704, 7, 5633])).
% 9.46/6.94 tff(35706,plain,
% 9.46/6.94 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.46/6.94 inference(rewrite,[status(thm)],[])).
% 9.46/6.94 tff(35707,plain,
% 9.46/6.94 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.46/6.94 inference(quant_inst,[status(thm)],[])).
% 9.46/6.94 tff(35708,plain,
% 9.46/6.94 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 9.46/6.94 inference(modus_ponens,[status(thm)],[35707, 35706])).
% 9.46/6.94 tff(35709,plain,
% 9.46/6.94 ((~m_main_v_state(s273, c_ready)) | m_main_v_state(s274, c_busy) | (~m_main_v_request(s273))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35708, 191, 35705])).
% 9.46/6.94 tff(35710,plain,
% 9.46/6.94 (~m_main_v_state(s273, c_ready)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35709, 35701, 35696])).
% 9.46/6.94 tff(35711,plain,
% 9.46/6.94 (always3(s273)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11864, 22, 35697])).
% 9.46/6.94 tff(35712,plain,
% 9.46/6.94 (((~![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)))),
% 9.46/6.94 inference(rewrite,[status(thm)],[])).
% 9.46/6.94 tff(35713,plain,
% 9.46/6.94 (((~m_main_v_state(s273, c_busy)) | (~always3(s273))) <=> ((~always3(s273)) | (~m_main_v_state(s273, c_busy)))),
% 9.46/6.94 inference(rewrite,[status(thm)],[])).
% 9.46/6.94 tff(35714,plain,
% 9.46/6.94 (((~![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))))),
% 9.46/6.94 inference(monotonicity,[status(thm)],[35713])).
% 9.46/6.94 tff(35715,plain,
% 9.46/6.94 (((~![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)))),
% 9.46/6.94 inference(transitivity,[status(thm)],[35714, 35712])).
% 9.46/6.94 tff(35716,plain,
% 9.46/6.94 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s273, c_busy)) | (~always3(s273)))),
% 9.46/6.94 inference(quant_inst,[status(thm)],[])).
% 9.46/6.94 tff(35717,plain,
% 9.46/6.94 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s273)) | (~m_main_v_state(s273, c_busy))),
% 9.46/6.94 inference(modus_ponens,[status(thm)],[35716, 35715])).
% 9.46/6.94 tff(35718,plain,
% 9.46/6.94 (~m_main_v_state(s273, c_busy)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35717, 170, 35711])).
% 9.46/6.94 tff(35719,plain,
% 9.46/6.94 (((~![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))),
% 9.46/6.94 inference(rewrite,[status(thm)],[])).
% 9.46/6.94 tff(35720,plain,
% 9.46/6.94 ((~![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))),
% 9.46/6.94 inference(quant_inst,[status(thm)],[])).
% 9.46/6.94 tff(35721,plain,
% 9.46/6.94 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s273, c_busy) | m_main_v_state(s273, c_ready)),
% 9.46/6.94 inference(modus_ponens,[status(thm)],[35720, 35719])).
% 9.46/6.94 tff(35722,plain,
% 9.46/6.94 ($false),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35721, 213, 35718, 35710])).
% 9.46/6.94 tff(35723,plain,((~node4(s273)) | m_main_v_state(s274, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.46/6.94 tff(35724,plain,
% 9.46/6.94 (~node4(s273)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35723, 35695])).
% 9.46/6.94 tff(35725,plain,
% 9.46/6.94 (always3(s275)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5625, 35688])).
% 9.46/6.94 tff(35726,plain,
% 9.46/6.94 (~m_main_v_state(s275, c_busy)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35340, 170, 35725])).
% 9.46/6.94 tff(35727,plain,
% 9.46/6.94 (((~![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))),
% 9.46/6.94 inference(rewrite,[status(thm)],[])).
% 9.46/6.94 tff(35728,plain,
% 9.46/6.94 ((~![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))),
% 9.46/6.94 inference(quant_inst,[status(thm)],[])).
% 9.46/6.94 tff(35729,plain,
% 9.46/6.94 ((~![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)),
% 9.46/6.94 inference(modus_ponens,[status(thm)],[35728, 35727])).
% 9.46/6.94 tff(35730,plain,
% 9.46/6.94 (m_main_v_state(s274, c_ready)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35729, 213, 35695])).
% 9.46/6.94 tff(35731,plain,
% 9.46/6.94 (((~![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))),
% 9.46/6.94 inference(rewrite,[status(thm)],[])).
% 9.46/6.94 tff(35732,plain,
% 9.46/6.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s274, s275)) | node2(s274, s275))),
% 9.46/6.94 inference(quant_inst,[status(thm)],[])).
% 9.46/6.94 tff(35733,plain,
% 9.46/6.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s274, s275)) | node2(s274, s275)),
% 9.46/6.94 inference(modus_ponens,[status(thm)],[35732, 35731])).
% 9.46/6.94 tff(35734,plain,
% 9.46/6.94 (node2(s274, s275)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35733, 7, 5621])).
% 9.46/6.94 tff(35735,plain,
% 9.46/6.94 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.46/6.94 inference(rewrite,[status(thm)],[])).
% 9.46/6.94 tff(35736,plain,
% 9.46/6.94 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.46/6.94 inference(quant_inst,[status(thm)],[])).
% 9.46/6.94 tff(35737,plain,
% 9.46/6.94 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 9.46/6.94 inference(modus_ponens,[status(thm)],[35736, 35735])).
% 9.46/6.94 tff(35738,plain,
% 9.46/6.94 ((~m_main_v_state(s274, c_ready)) | m_main_v_state(s275, c_busy) | (~m_main_v_request(s274))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35737, 191, 35734])).
% 9.46/6.94 tff(35739,plain,
% 9.46/6.94 (~m_main_v_request(s274)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35738, 35730, 35726])).
% 9.46/6.94 tff(35740,plain,
% 9.46/6.94 (((~![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)))),
% 9.46/6.94 inference(rewrite,[status(thm)],[])).
% 9.46/6.94 tff(35741,plain,
% 9.46/6.94 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s274) | (~node4(s274)))),
% 9.46/6.94 inference(quant_inst,[status(thm)],[])).
% 9.46/6.94 tff(35742,plain,
% 9.46/6.94 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s274) | (~node4(s274))),
% 9.46/6.94 inference(modus_ponens,[status(thm)],[35741, 35740])).
% 9.46/6.94 tff(35743,plain,
% 9.46/6.94 (~node4(s274)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35742, 154, 35739])).
% 9.46/6.94 tff(35744,plain,
% 9.46/6.94 (node4(s274) | (~until5(s274))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11888, 36, 35392])).
% 9.46/6.94 tff(35745,plain,
% 9.46/6.94 (~until5(s274)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35744, 35743])).
% 9.46/6.94 tff(35746,plain,
% 9.46/6.94 (~xuntil6(s273)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11877, 35745])).
% 9.46/6.94 tff(35747,plain,
% 9.46/6.94 (~until5(s273)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11871, 36, 35746, 35724])).
% 9.46/6.94 tff(35748,plain,
% 9.46/6.94 (~xuntil6(s272)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11860, 35747])).
% 9.46/6.94 tff(35749,assumption,(~always3(s272)), introduced(assumption)).
% 9.46/6.94 tff(35750,plain,
% 9.46/6.94 (~always3(s271)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5661, 35749])).
% 9.46/6.94 tff(35751,plain,
% 9.46/6.94 (~node4(s271)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11830, 22, 35750])).
% 9.46/6.94 tff(35752,plain,
% 9.46/6.94 (~node4(s272)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11847, 22, 35749])).
% 9.46/6.94 tff(35753,assumption,(~xuntil6(s272)), introduced(assumption)).
% 9.46/6.94 tff(35754,plain,
% 9.46/6.94 (node4(s272) | (~until5(s272))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11854, 36, 35753])).
% 9.46/6.94 tff(35755,plain,
% 9.46/6.94 (~until5(s272)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35754, 35752])).
% 9.46/6.94 tff(35756,plain,
% 9.46/6.94 (~xuntil6(s271)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11843, 35755])).
% 9.46/6.94 tff(35757,plain,
% 9.46/6.94 (~until5(s271)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11837, 36, 35756, 35751])).
% 9.46/6.94 tff(35758,plain,
% 9.46/6.94 (~xuntil6(s270)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11826, 35757])).
% 9.46/6.94 tff(35759,plain,
% 9.46/6.94 (~always3(s270)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5673, 35750])).
% 9.46/6.94 tff(35760,plain,
% 9.46/6.94 (~node4(s270)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11813, 22, 35759])).
% 9.46/6.94 tff(35761,plain,
% 9.46/6.94 (xuntil6(s270) | (~until5(s270))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11820, 36, 35760])).
% 9.46/6.94 tff(35762,plain,
% 9.46/6.94 (~until5(s270)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35761, 35758])).
% 9.46/6.94 tff(35763,plain,
% 9.46/6.94 (~xuntil6(s269)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11809, 35762])).
% 9.46/6.94 tff(35764,plain,
% 9.46/6.94 (~always3(s269)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5685, 35759])).
% 9.46/6.94 tff(35765,plain,
% 9.46/6.94 (~node4(s269)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11796, 22, 35764])).
% 9.46/6.94 tff(35766,plain,
% 9.46/6.94 (xuntil6(s269) | (~until5(s269))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11803, 36, 35765])).
% 9.46/6.94 tff(35767,plain,
% 9.46/6.94 (~until5(s269)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35766, 35763])).
% 9.46/6.94 tff(35768,plain,
% 9.46/6.94 (~xuntil6(s268)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11792, 35767])).
% 9.46/6.94 tff(35769,plain,
% 9.46/6.94 (~always3(s268)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5697, 35764])).
% 9.46/6.94 tff(35770,plain,
% 9.46/6.94 (~node4(s268)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11779, 22, 35769])).
% 9.46/6.94 tff(35771,plain,
% 9.46/6.94 (xuntil6(s268) | (~until5(s268))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11786, 36, 35770])).
% 9.46/6.94 tff(35772,plain,
% 9.46/6.94 (~until5(s268)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35771, 35768])).
% 9.46/6.94 tff(35773,plain,
% 9.46/6.94 (~xuntil6(s267)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11775, 35772])).
% 9.46/6.94 tff(35774,plain,
% 9.46/6.94 (~always3(s267)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5709, 35769])).
% 9.46/6.94 tff(35775,plain,
% 9.46/6.94 (~node4(s267)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11762, 22, 35774])).
% 9.46/6.94 tff(35776,plain,
% 9.46/6.94 (xuntil6(s267) | (~until5(s267))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11769, 36, 35775])).
% 9.46/6.94 tff(35777,plain,
% 9.46/6.94 (~until5(s267)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35776, 35773])).
% 9.46/6.94 tff(35778,plain,
% 9.46/6.94 (~xuntil6(s266)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11758, 35777])).
% 9.46/6.94 tff(35779,plain,
% 9.46/6.94 (~always3(s266)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5721, 35774])).
% 9.46/6.94 tff(35780,plain,
% 9.46/6.94 (~node4(s266)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11745, 22, 35779])).
% 9.46/6.94 tff(35781,plain,
% 9.46/6.94 (xuntil6(s266) | (~until5(s266))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11752, 36, 35780])).
% 9.46/6.94 tff(35782,plain,
% 9.46/6.94 (~until5(s266)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35781, 35778])).
% 9.46/6.94 tff(35783,plain,
% 9.46/6.94 (~xuntil6(s265)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11741, 35782])).
% 9.46/6.94 tff(35784,plain,
% 9.46/6.94 (~always3(s265)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5733, 35779])).
% 9.46/6.94 tff(35785,plain,
% 9.46/6.94 (~node4(s265)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11728, 22, 35784])).
% 9.46/6.94 tff(35786,plain,
% 9.46/6.94 (xuntil6(s265) | (~until5(s265))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11735, 36, 35785])).
% 9.46/6.94 tff(35787,plain,
% 9.46/6.94 (~until5(s265)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35786, 35783])).
% 9.46/6.94 tff(35788,plain,
% 9.46/6.94 (~xuntil6(s264)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11724, 35787])).
% 9.46/6.94 tff(35789,plain,
% 9.46/6.94 (~always3(s264)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5745, 35784])).
% 9.46/6.94 tff(35790,plain,
% 9.46/6.94 (~node4(s264)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11711, 22, 35789])).
% 9.46/6.94 tff(35791,plain,
% 9.46/6.94 (xuntil6(s264) | (~until5(s264))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11718, 36, 35790])).
% 9.46/6.94 tff(35792,plain,
% 9.46/6.94 (~until5(s264)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35791, 35788])).
% 9.46/6.94 tff(35793,plain,
% 9.46/6.94 (~xuntil6(s263)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11707, 35792])).
% 9.46/6.94 tff(35794,plain,
% 9.46/6.94 (~always3(s263)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5757, 35789])).
% 9.46/6.94 tff(35795,plain,
% 9.46/6.94 (~node4(s263)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11694, 22, 35794])).
% 9.46/6.94 tff(35796,plain,
% 9.46/6.94 (xuntil6(s263) | (~until5(s263))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11701, 36, 35795])).
% 9.46/6.94 tff(35797,plain,
% 9.46/6.94 (~until5(s263)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35796, 35793])).
% 9.46/6.94 tff(35798,plain,
% 9.46/6.94 (~xuntil6(s262)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11690, 35797])).
% 9.46/6.94 tff(35799,plain,
% 9.46/6.94 (~always3(s262)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5769, 35794])).
% 9.46/6.94 tff(35800,plain,
% 9.46/6.94 (~node4(s262)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11677, 22, 35799])).
% 9.46/6.94 tff(35801,plain,
% 9.46/6.94 (xuntil6(s262) | (~until5(s262))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11684, 36, 35800])).
% 9.46/6.94 tff(35802,plain,
% 9.46/6.94 (~until5(s262)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35801, 35798])).
% 9.46/6.94 tff(35803,plain,
% 9.46/6.94 (~xuntil6(s261)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11673, 35802])).
% 9.46/6.94 tff(35804,plain,
% 9.46/6.94 (~always3(s261)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5781, 35799])).
% 9.46/6.94 tff(35805,plain,
% 9.46/6.94 (~node4(s261)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11660, 22, 35804])).
% 9.46/6.94 tff(35806,plain,
% 9.46/6.94 (xuntil6(s261) | (~until5(s261))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11667, 36, 35805])).
% 9.46/6.94 tff(35807,plain,
% 9.46/6.94 (~until5(s261)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35806, 35803])).
% 9.46/6.94 tff(35808,plain,
% 9.46/6.94 (~xuntil6(s260)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11656, 35807])).
% 9.46/6.94 tff(35809,plain,
% 9.46/6.94 (~always3(s260)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5793, 35804])).
% 9.46/6.94 tff(35810,plain,
% 9.46/6.94 (~node4(s260)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11643, 22, 35809])).
% 9.46/6.94 tff(35811,plain,
% 9.46/6.94 (xuntil6(s260) | (~until5(s260))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11650, 36, 35810])).
% 9.46/6.94 tff(35812,plain,
% 9.46/6.94 (~until5(s260)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35811, 35808])).
% 9.46/6.94 tff(35813,plain,
% 9.46/6.94 (~xuntil6(s259)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11639, 35812])).
% 9.46/6.94 tff(35814,plain,
% 9.46/6.94 (~always3(s259)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5805, 35809])).
% 9.46/6.94 tff(35815,plain,
% 9.46/6.94 (~node4(s259)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11626, 22, 35814])).
% 9.46/6.94 tff(35816,plain,
% 9.46/6.94 (xuntil6(s259) | (~until5(s259))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11633, 36, 35815])).
% 9.46/6.94 tff(35817,plain,
% 9.46/6.94 (~until5(s259)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35816, 35813])).
% 9.46/6.94 tff(35818,plain,
% 9.46/6.94 (~xuntil6(s258)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11622, 35817])).
% 9.46/6.94 tff(35819,plain,
% 9.46/6.94 (~always3(s258)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5817, 35814])).
% 9.46/6.94 tff(35820,plain,
% 9.46/6.94 (~node4(s258)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11609, 22, 35819])).
% 9.46/6.94 tff(35821,plain,
% 9.46/6.94 (xuntil6(s258) | (~until5(s258))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11616, 36, 35820])).
% 9.46/6.94 tff(35822,plain,
% 9.46/6.94 (~until5(s258)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35821, 35818])).
% 9.46/6.94 tff(35823,plain,
% 9.46/6.94 (~xuntil6(s257)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11605, 35822])).
% 9.46/6.94 tff(35824,plain,
% 9.46/6.94 (~always3(s257)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5829, 35819])).
% 9.46/6.94 tff(35825,plain,
% 9.46/6.94 (~node4(s257)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11592, 22, 35824])).
% 9.46/6.94 tff(35826,plain,
% 9.46/6.94 (xuntil6(s257) | (~until5(s257))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11599, 36, 35825])).
% 9.46/6.94 tff(35827,plain,
% 9.46/6.94 (~until5(s257)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35826, 35823])).
% 9.46/6.94 tff(35828,plain,
% 9.46/6.94 (~xuntil6(s256)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11588, 35827])).
% 9.46/6.94 tff(35829,plain,
% 9.46/6.94 (~always3(s256)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5841, 35824])).
% 9.46/6.94 tff(35830,plain,
% 9.46/6.94 (~node4(s256)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11575, 22, 35829])).
% 9.46/6.94 tff(35831,plain,
% 9.46/6.94 (xuntil6(s256) | (~until5(s256))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11582, 36, 35830])).
% 9.46/6.94 tff(35832,plain,
% 9.46/6.94 (~until5(s256)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35831, 35828])).
% 9.46/6.94 tff(35833,plain,
% 9.46/6.94 (~xuntil6(s255)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11571, 35832])).
% 9.46/6.94 tff(35834,plain,
% 9.46/6.94 (~always3(s255)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5853, 35829])).
% 9.46/6.94 tff(35835,plain,
% 9.46/6.94 (~node4(s255)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11558, 22, 35834])).
% 9.46/6.94 tff(35836,plain,
% 9.46/6.94 (xuntil6(s255) | (~until5(s255))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11565, 36, 35835])).
% 9.46/6.94 tff(35837,plain,
% 9.46/6.94 (~until5(s255)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35836, 35833])).
% 9.46/6.94 tff(35838,plain,
% 9.46/6.94 (~xuntil6(s254)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11554, 35837])).
% 9.46/6.94 tff(35839,plain,
% 9.46/6.94 (~always3(s254)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5865, 35834])).
% 9.46/6.94 tff(35840,plain,
% 9.46/6.94 (~node4(s254)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11541, 22, 35839])).
% 9.46/6.94 tff(35841,plain,
% 9.46/6.94 (xuntil6(s254) | (~until5(s254))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11548, 36, 35840])).
% 9.46/6.94 tff(35842,plain,
% 9.46/6.94 (~until5(s254)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35841, 35838])).
% 9.46/6.94 tff(35843,plain,
% 9.46/6.94 (~xuntil6(s253)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11537, 35842])).
% 9.46/6.94 tff(35844,plain,
% 9.46/6.94 (~until5(s253)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11532, 35843])).
% 9.46/6.94 tff(35845,plain,
% 9.46/6.94 (~xuntil6(s252)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11523, 35844])).
% 9.46/6.94 tff(35846,plain,
% 9.46/6.94 (~always3(s253)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5092, 35839])).
% 9.46/6.94 tff(35847,plain,
% 9.46/6.94 (~always3(s252)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5878, 35846])).
% 9.46/6.94 tff(35848,plain,
% 9.46/6.94 (~node4(s252)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11510, 22, 35847])).
% 9.46/6.94 tff(35849,plain,
% 9.46/6.94 (xuntil6(s252) | (~until5(s252))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11517, 36, 35848])).
% 9.46/6.94 tff(35850,plain,
% 9.46/6.94 (~until5(s252)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35849, 35845])).
% 9.46/6.94 tff(35851,plain,
% 9.46/6.94 (~xuntil6(s251)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11506, 35850])).
% 9.46/6.94 tff(35852,plain,
% 9.46/6.94 (~always3(s251)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5890, 35847])).
% 9.46/6.94 tff(35853,plain,
% 9.46/6.94 (~node4(s251)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11493, 22, 35852])).
% 9.46/6.94 tff(35854,plain,
% 9.46/6.94 (xuntil6(s251) | (~until5(s251))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11500, 36, 35853])).
% 9.46/6.94 tff(35855,plain,
% 9.46/6.94 (~until5(s251)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35854, 35851])).
% 9.46/6.94 tff(35856,plain,
% 9.46/6.94 (~xuntil6(s250)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11489, 35855])).
% 9.46/6.94 tff(35857,plain,
% 9.46/6.94 (~always3(s250)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5902, 35852])).
% 9.46/6.94 tff(35858,plain,
% 9.46/6.94 (~node4(s250)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11476, 22, 35857])).
% 9.46/6.94 tff(35859,plain,
% 9.46/6.94 (xuntil6(s250) | (~until5(s250))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11483, 36, 35858])).
% 9.46/6.94 tff(35860,plain,
% 9.46/6.94 (~until5(s250)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35859, 35856])).
% 9.46/6.94 tff(35861,plain,
% 9.46/6.94 (~xuntil6(s249)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11472, 35860])).
% 9.46/6.94 tff(35862,plain,
% 9.46/6.94 (~always3(s249)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5914, 35857])).
% 9.46/6.94 tff(35863,plain,
% 9.46/6.94 (~node4(s249)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11459, 22, 35862])).
% 9.46/6.94 tff(35864,plain,
% 9.46/6.94 (xuntil6(s249) | (~until5(s249))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11466, 36, 35863])).
% 9.46/6.94 tff(35865,plain,
% 9.46/6.94 (~until5(s249)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35864, 35861])).
% 9.46/6.94 tff(35866,plain,
% 9.46/6.94 (~xuntil6(s248)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11455, 35865])).
% 9.46/6.94 tff(35867,plain,
% 9.46/6.94 (~always3(s248)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5926, 35862])).
% 9.46/6.94 tff(35868,plain,
% 9.46/6.94 (~node4(s248)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11442, 22, 35867])).
% 9.46/6.94 tff(35869,plain,
% 9.46/6.94 (xuntil6(s248) | (~until5(s248))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11449, 36, 35868])).
% 9.46/6.94 tff(35870,plain,
% 9.46/6.94 (~until5(s248)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35869, 35866])).
% 9.46/6.94 tff(35871,plain,
% 9.46/6.94 (~xuntil6(s247)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11438, 35870])).
% 9.46/6.94 tff(35872,plain,
% 9.46/6.94 (~always3(s247)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5938, 35867])).
% 9.46/6.94 tff(35873,plain,
% 9.46/6.94 (~node4(s247)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11425, 22, 35872])).
% 9.46/6.94 tff(35874,plain,
% 9.46/6.94 (xuntil6(s247) | (~until5(s247))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11432, 36, 35873])).
% 9.46/6.94 tff(35875,plain,
% 9.46/6.94 (~until5(s247)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35874, 35871])).
% 9.46/6.94 tff(35876,plain,
% 9.46/6.94 (~xuntil6(s246)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11421, 35875])).
% 9.46/6.94 tff(35877,plain,
% 9.46/6.94 (~always3(s246)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5950, 35872])).
% 9.46/6.94 tff(35878,plain,
% 9.46/6.94 (~node4(s246)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11408, 22, 35877])).
% 9.46/6.94 tff(35879,plain,
% 9.46/6.94 (xuntil6(s246) | (~until5(s246))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11415, 36, 35878])).
% 9.46/6.94 tff(35880,plain,
% 9.46/6.94 (~until5(s246)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35879, 35876])).
% 9.46/6.94 tff(35881,plain,
% 9.46/6.94 (~xuntil6(s245)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11404, 35880])).
% 9.46/6.94 tff(35882,plain,
% 9.46/6.94 (~always3(s245)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5962, 35877])).
% 9.46/6.94 tff(35883,plain,
% 9.46/6.94 (~node4(s245)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11391, 22, 35882])).
% 9.46/6.94 tff(35884,plain,
% 9.46/6.94 (xuntil6(s245) | (~until5(s245))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11398, 36, 35883])).
% 9.46/6.94 tff(35885,plain,
% 9.46/6.94 (~until5(s245)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35884, 35881])).
% 9.46/6.94 tff(35886,plain,
% 9.46/6.94 (~xuntil6(s244)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11387, 35885])).
% 9.46/6.94 tff(35887,plain,
% 9.46/6.94 (~always3(s244)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5974, 35882])).
% 9.46/6.94 tff(35888,plain,
% 9.46/6.94 (~always3(s243)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5986, 35887])).
% 9.46/6.94 tff(35889,plain,
% 9.46/6.94 (~always3(s242)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[5998, 35888])).
% 9.46/6.94 tff(35890,plain,
% 9.46/6.94 (~always3(s241)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6010, 35889])).
% 9.46/6.94 tff(35891,plain,
% 9.46/6.94 (~always3(s240)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6022, 35890])).
% 9.46/6.94 tff(35892,plain,
% 9.46/6.94 (~always3(s239)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6034, 35891])).
% 9.46/6.94 tff(35893,plain,
% 9.46/6.94 (~always3(s238)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6046, 35892])).
% 9.46/6.94 tff(35894,plain,
% 9.46/6.94 (~always3(s237)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6058, 35893])).
% 9.46/6.94 tff(35895,plain,
% 9.46/6.94 (~always3(s236)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6070, 35894])).
% 9.46/6.94 tff(35896,plain,
% 9.46/6.94 (~always3(s235)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6082, 35895])).
% 9.46/6.94 tff(35897,plain,
% 9.46/6.94 (~always3(s234)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6094, 35896])).
% 9.46/6.94 tff(35898,plain,
% 9.46/6.94 (~always3(s233)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6106, 35897])).
% 9.46/6.94 tff(35899,plain,
% 9.46/6.94 (~always3(s232)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6118, 35898])).
% 9.46/6.94 tff(35900,plain,
% 9.46/6.94 (~always3(s231)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6130, 35899])).
% 9.46/6.94 tff(35901,plain,
% 9.46/6.94 (~always3(s230)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6142, 35900])).
% 9.46/6.94 tff(35902,plain,
% 9.46/6.94 (~always3(s229)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6154, 35901])).
% 9.46/6.94 tff(35903,plain,
% 9.46/6.94 (~always3(s228)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6166, 35902])).
% 9.46/6.94 tff(35904,plain,
% 9.46/6.94 (~always3(s227)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6178, 35903])).
% 9.46/6.94 tff(35905,plain,
% 9.46/6.94 (~always3(s226)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6190, 35904])).
% 9.46/6.94 tff(35906,plain,
% 9.46/6.94 (~always3(s225)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6202, 35905])).
% 9.46/6.94 tff(35907,plain,
% 9.46/6.94 (~always3(s224)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6214, 35906])).
% 9.46/6.94 tff(35908,plain,
% 9.46/6.94 (~always3(s223)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6226, 35907])).
% 9.46/6.94 tff(35909,plain,
% 9.46/6.94 (~always3(s222)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6238, 35908])).
% 9.46/6.94 tff(35910,plain,
% 9.46/6.94 (~always3(s221)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6250, 35909])).
% 9.46/6.94 tff(35911,plain,
% 9.46/6.94 (~always3(s220)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6262, 35910])).
% 9.46/6.94 tff(35912,plain,
% 9.46/6.94 (~always3(s219)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6274, 35911])).
% 9.46/6.94 tff(35913,plain,
% 9.46/6.94 (~always3(s218)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6286, 35912])).
% 9.46/6.94 tff(35914,plain,
% 9.46/6.94 (~always3(s217)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6298, 35913])).
% 9.46/6.94 tff(35915,plain,
% 9.46/6.94 (~node4(s217)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6302, 22, 35914])).
% 9.46/6.94 tff(35916,plain,
% 9.46/6.94 (~always3(s216)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6314, 35914])).
% 9.46/6.94 tff(35917,plain,
% 9.46/6.94 (~node4(s216)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6318, 22, 35916])).
% 9.46/6.94 tff(35918,plain,
% 9.46/6.94 (~always3(s215)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[6331, 35916])).
% 9.46/6.94 tff(35919,plain,
% 9.46/6.94 (xuntil6(s215)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[10898, 35918, 6320])).
% 9.46/6.94 tff(35920,plain,
% 9.46/6.94 (until5(s216)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[10903, 35919])).
% 9.46/6.94 tff(35921,plain,
% 9.46/6.94 (xuntil6(s216) | node4(s216)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[10910, 36, 35920])).
% 9.46/6.94 tff(35922,plain,
% 9.46/6.94 (xuntil6(s216)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35921, 35917])).
% 9.46/6.94 tff(35923,plain,
% 9.46/6.94 (until5(s217)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[10916, 35922])).
% 9.46/6.94 tff(35924,plain,
% 9.46/6.94 (xuntil6(s217)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[10923, 36, 35923, 35915])).
% 9.46/6.94 tff(35925,plain,
% 9.46/6.94 (until5(s218)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[10928, 35924])).
% 9.46/6.94 tff(35926,plain,
% 9.46/6.94 (~node4(s218)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[10932, 22, 35913])).
% 9.46/6.94 tff(35927,plain,
% 9.46/6.94 (xuntil6(s218) | (~until5(s218))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[10939, 36, 35926])).
% 9.46/6.94 tff(35928,plain,
% 9.46/6.94 (xuntil6(s218)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35927, 35925])).
% 9.46/6.94 tff(35929,plain,
% 9.46/6.94 (until5(s219)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[10945, 35928])).
% 9.46/6.94 tff(35930,plain,
% 9.46/6.94 (~node4(s219)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[10949, 22, 35912])).
% 9.46/6.94 tff(35931,plain,
% 9.46/6.94 (xuntil6(s219) | (~until5(s219))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[10956, 36, 35930])).
% 9.46/6.94 tff(35932,plain,
% 9.46/6.94 (xuntil6(s219)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35931, 35929])).
% 9.46/6.94 tff(35933,plain,
% 9.46/6.94 (until5(s220)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[10962, 35932])).
% 9.46/6.94 tff(35934,plain,
% 9.46/6.94 (~node4(s220)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[10966, 22, 35911])).
% 9.46/6.94 tff(35935,plain,
% 9.46/6.94 (xuntil6(s220) | (~until5(s220))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[10973, 36, 35934])).
% 9.46/6.94 tff(35936,plain,
% 9.46/6.94 (xuntil6(s220)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35935, 35933])).
% 9.46/6.94 tff(35937,plain,
% 9.46/6.94 (until5(s221)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[10979, 35936])).
% 9.46/6.94 tff(35938,plain,
% 9.46/6.94 (~node4(s221)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[10983, 22, 35910])).
% 9.46/6.94 tff(35939,plain,
% 9.46/6.94 (xuntil6(s221) | (~until5(s221))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[10990, 36, 35938])).
% 9.46/6.94 tff(35940,plain,
% 9.46/6.94 (xuntil6(s221)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35939, 35937])).
% 9.46/6.94 tff(35941,plain,
% 9.46/6.94 (until5(s222)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[10996, 35940])).
% 9.46/6.94 tff(35942,plain,
% 9.46/6.94 (~node4(s222)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11000, 22, 35909])).
% 9.46/6.94 tff(35943,plain,
% 9.46/6.94 (xuntil6(s222) | (~until5(s222))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11007, 36, 35942])).
% 9.46/6.94 tff(35944,plain,
% 9.46/6.94 (xuntil6(s222)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35943, 35941])).
% 9.46/6.94 tff(35945,plain,
% 9.46/6.94 (until5(s223)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11013, 35944])).
% 9.46/6.94 tff(35946,plain,
% 9.46/6.94 (~node4(s223)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11017, 22, 35908])).
% 9.46/6.94 tff(35947,plain,
% 9.46/6.94 (xuntil6(s223) | (~until5(s223))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11024, 36, 35946])).
% 9.46/6.94 tff(35948,plain,
% 9.46/6.94 (xuntil6(s223)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35947, 35945])).
% 9.46/6.94 tff(35949,plain,
% 9.46/6.94 (until5(s224)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11030, 35948])).
% 9.46/6.94 tff(35950,plain,
% 9.46/6.94 (~node4(s224)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11034, 22, 35907])).
% 9.46/6.94 tff(35951,plain,
% 9.46/6.94 (xuntil6(s224) | (~until5(s224))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11041, 36, 35950])).
% 9.46/6.94 tff(35952,plain,
% 9.46/6.94 (xuntil6(s224)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35951, 35949])).
% 9.46/6.94 tff(35953,plain,
% 9.46/6.94 (until5(s225)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11047, 35952])).
% 9.46/6.94 tff(35954,plain,
% 9.46/6.94 (~node4(s225)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11051, 22, 35906])).
% 9.46/6.94 tff(35955,plain,
% 9.46/6.94 (xuntil6(s225) | (~until5(s225))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11058, 36, 35954])).
% 9.46/6.94 tff(35956,plain,
% 9.46/6.94 (xuntil6(s225)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35955, 35953])).
% 9.46/6.94 tff(35957,plain,
% 9.46/6.94 (until5(s226)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11064, 35956])).
% 9.46/6.94 tff(35958,plain,
% 9.46/6.94 (~node4(s226)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11068, 22, 35905])).
% 9.46/6.94 tff(35959,plain,
% 9.46/6.94 (xuntil6(s226) | (~until5(s226))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11075, 36, 35958])).
% 9.46/6.94 tff(35960,plain,
% 9.46/6.94 (xuntil6(s226)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35959, 35957])).
% 9.46/6.94 tff(35961,plain,
% 9.46/6.94 (until5(s227)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11081, 35960])).
% 9.46/6.94 tff(35962,plain,
% 9.46/6.94 (~node4(s227)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11085, 22, 35904])).
% 9.46/6.94 tff(35963,plain,
% 9.46/6.94 (xuntil6(s227) | (~until5(s227))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11092, 36, 35962])).
% 9.46/6.94 tff(35964,plain,
% 9.46/6.94 (xuntil6(s227)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35963, 35961])).
% 9.46/6.94 tff(35965,plain,
% 9.46/6.94 (until5(s228)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11098, 35964])).
% 9.46/6.94 tff(35966,plain,
% 9.46/6.94 (~node4(s228)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11102, 22, 35903])).
% 9.46/6.94 tff(35967,plain,
% 9.46/6.94 (xuntil6(s228) | (~until5(s228))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11109, 36, 35966])).
% 9.46/6.94 tff(35968,plain,
% 9.46/6.94 (xuntil6(s228)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35967, 35965])).
% 9.46/6.94 tff(35969,plain,
% 9.46/6.94 (until5(s229)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11115, 35968])).
% 9.46/6.94 tff(35970,plain,
% 9.46/6.94 (~node4(s229)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11119, 22, 35902])).
% 9.46/6.94 tff(35971,plain,
% 9.46/6.94 (xuntil6(s229) | (~until5(s229))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11126, 36, 35970])).
% 9.46/6.94 tff(35972,plain,
% 9.46/6.94 (xuntil6(s229)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35971, 35969])).
% 9.46/6.94 tff(35973,plain,
% 9.46/6.94 (until5(s230)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11132, 35972])).
% 9.46/6.94 tff(35974,plain,
% 9.46/6.94 (~node4(s230)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11136, 22, 35901])).
% 9.46/6.94 tff(35975,plain,
% 9.46/6.94 (xuntil6(s230) | (~until5(s230))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11143, 36, 35974])).
% 9.46/6.94 tff(35976,plain,
% 9.46/6.94 (xuntil6(s230)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35975, 35973])).
% 9.46/6.94 tff(35977,plain,
% 9.46/6.94 (until5(s231)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11149, 35976])).
% 9.46/6.94 tff(35978,plain,
% 9.46/6.94 (~node4(s231)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11153, 22, 35900])).
% 9.46/6.94 tff(35979,plain,
% 9.46/6.94 (xuntil6(s231) | (~until5(s231))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11160, 36, 35978])).
% 9.46/6.94 tff(35980,plain,
% 9.46/6.94 (xuntil6(s231)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35979, 35977])).
% 9.46/6.94 tff(35981,plain,
% 9.46/6.94 (until5(s232)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11166, 35980])).
% 9.46/6.94 tff(35982,plain,
% 9.46/6.94 (~node4(s232)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11170, 22, 35899])).
% 9.46/6.94 tff(35983,plain,
% 9.46/6.94 (xuntil6(s232) | (~until5(s232))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11177, 36, 35982])).
% 9.46/6.94 tff(35984,plain,
% 9.46/6.94 (xuntil6(s232)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35983, 35981])).
% 9.46/6.94 tff(35985,plain,
% 9.46/6.94 (until5(s233)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11183, 35984])).
% 9.46/6.94 tff(35986,plain,
% 9.46/6.94 (~node4(s233)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11187, 22, 35898])).
% 9.46/6.94 tff(35987,plain,
% 9.46/6.94 (xuntil6(s233) | (~until5(s233))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11194, 36, 35986])).
% 9.46/6.94 tff(35988,plain,
% 9.46/6.94 (xuntil6(s233)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35987, 35985])).
% 9.46/6.94 tff(35989,plain,
% 9.46/6.94 (until5(s234)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11200, 35988])).
% 9.46/6.94 tff(35990,plain,
% 9.46/6.94 (~node4(s234)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11204, 22, 35897])).
% 9.46/6.94 tff(35991,plain,
% 9.46/6.94 (xuntil6(s234) | (~until5(s234))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11211, 36, 35990])).
% 9.46/6.94 tff(35992,plain,
% 9.46/6.94 (xuntil6(s234)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35991, 35989])).
% 9.46/6.94 tff(35993,plain,
% 9.46/6.94 (until5(s235)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11217, 35992])).
% 9.46/6.94 tff(35994,plain,
% 9.46/6.94 (~node4(s235)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11221, 22, 35896])).
% 9.46/6.94 tff(35995,plain,
% 9.46/6.94 (xuntil6(s235) | (~until5(s235))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11228, 36, 35994])).
% 9.46/6.94 tff(35996,plain,
% 9.46/6.94 (xuntil6(s235)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35995, 35993])).
% 9.46/6.94 tff(35997,plain,
% 9.46/6.94 (until5(s236)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11234, 35996])).
% 9.46/6.94 tff(35998,plain,
% 9.46/6.94 (~node4(s236)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11238, 22, 35895])).
% 9.46/6.94 tff(35999,plain,
% 9.46/6.94 (xuntil6(s236) | (~until5(s236))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11245, 36, 35998])).
% 9.46/6.94 tff(36000,plain,
% 9.46/6.94 (xuntil6(s236)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[35999, 35997])).
% 9.46/6.94 tff(36001,plain,
% 9.46/6.94 (until5(s237)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11251, 36000])).
% 9.46/6.94 tff(36002,plain,
% 9.46/6.94 (~node4(s237)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11255, 22, 35894])).
% 9.46/6.94 tff(36003,plain,
% 9.46/6.94 (xuntil6(s237) | (~until5(s237))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11262, 36, 36002])).
% 9.46/6.94 tff(36004,plain,
% 9.46/6.94 (xuntil6(s237)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[36003, 36001])).
% 9.46/6.94 tff(36005,plain,
% 9.46/6.94 (until5(s238)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11268, 36004])).
% 9.46/6.94 tff(36006,plain,
% 9.46/6.94 (~node4(s238)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11272, 22, 35893])).
% 9.46/6.94 tff(36007,plain,
% 9.46/6.94 (xuntil6(s238) | (~until5(s238))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11279, 36, 36006])).
% 9.46/6.94 tff(36008,plain,
% 9.46/6.94 (xuntil6(s238)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[36007, 36005])).
% 9.46/6.94 tff(36009,plain,
% 9.46/6.94 (until5(s239)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11285, 36008])).
% 9.46/6.94 tff(36010,plain,
% 9.46/6.94 (~node4(s239)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11289, 22, 35892])).
% 9.46/6.94 tff(36011,plain,
% 9.46/6.94 (xuntil6(s239) | (~until5(s239))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11296, 36, 36010])).
% 9.46/6.94 tff(36012,plain,
% 9.46/6.94 (xuntil6(s239)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[36011, 36009])).
% 9.46/6.94 tff(36013,plain,
% 9.46/6.94 (until5(s240)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11302, 36012])).
% 9.46/6.94 tff(36014,plain,
% 9.46/6.94 (~node4(s240)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11306, 22, 35891])).
% 9.46/6.94 tff(36015,plain,
% 9.46/6.94 (xuntil6(s240) | (~until5(s240))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11313, 36, 36014])).
% 9.46/6.94 tff(36016,plain,
% 9.46/6.94 (xuntil6(s240)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[36015, 36013])).
% 9.46/6.94 tff(36017,plain,
% 9.46/6.94 (until5(s241)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11319, 36016])).
% 9.46/6.94 tff(36018,plain,
% 9.46/6.94 (~node4(s241)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11323, 22, 35890])).
% 9.46/6.94 tff(36019,plain,
% 9.46/6.94 (xuntil6(s241) | (~until5(s241))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11330, 36, 36018])).
% 9.46/6.94 tff(36020,plain,
% 9.46/6.94 (xuntil6(s241)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[36019, 36017])).
% 9.46/6.94 tff(36021,plain,
% 9.46/6.94 (until5(s242)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11336, 36020])).
% 9.46/6.94 tff(36022,plain,
% 9.46/6.94 (~node4(s242)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11340, 22, 35889])).
% 9.46/6.94 tff(36023,plain,
% 9.46/6.94 (xuntil6(s242) | (~until5(s242))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11347, 36, 36022])).
% 9.46/6.94 tff(36024,plain,
% 9.46/6.94 (xuntil6(s242)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[36023, 36021])).
% 9.46/6.94 tff(36025,plain,
% 9.46/6.94 (until5(s243)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11353, 36024])).
% 9.46/6.94 tff(36026,plain,
% 9.46/6.94 (~node4(s243)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11357, 22, 35888])).
% 9.46/6.94 tff(36027,plain,
% 9.46/6.94 (xuntil6(s243) | (~until5(s243))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11364, 36, 36026])).
% 9.46/6.94 tff(36028,plain,
% 9.46/6.94 (xuntil6(s243)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[36027, 36025])).
% 9.46/6.94 tff(36029,plain,
% 9.46/6.94 (until5(s244)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11370, 36028])).
% 9.46/6.94 tff(36030,plain,
% 9.46/6.94 (~node4(s244)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11374, 22, 35887])).
% 9.46/6.94 tff(36031,plain,
% 9.46/6.94 (xuntil6(s244) | (~until5(s244))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11381, 36, 36030])).
% 9.46/6.94 tff(36032,plain,
% 9.46/6.94 ($false),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[36031, 36029, 35886])).
% 9.46/6.94 tff(36033,plain,(always3(s272) | node4(s253) | xuntil6(s272) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.46/6.94 tff(36034,plain,
% 9.46/6.94 (always3(s272)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[36033, 35748, 6320, 35006])).
% 9.46/6.94 tff(36035,plain,
% 9.46/6.94 (((~![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)))),
% 9.46/6.94 inference(rewrite,[status(thm)],[])).
% 9.46/6.94 tff(36036,plain,
% 9.46/6.94 (((~m_main_v_state(s272, c_busy)) | (~always3(s272))) <=> ((~always3(s272)) | (~m_main_v_state(s272, c_busy)))),
% 9.46/6.94 inference(rewrite,[status(thm)],[])).
% 9.46/6.94 tff(36037,plain,
% 9.46/6.94 (((~![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))))),
% 9.46/6.94 inference(monotonicity,[status(thm)],[36036])).
% 9.46/6.94 tff(36038,plain,
% 9.46/6.94 (((~![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)))),
% 9.46/6.94 inference(transitivity,[status(thm)],[36037, 36035])).
% 9.46/6.94 tff(36039,plain,
% 9.46/6.94 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s272, c_busy)) | (~always3(s272)))),
% 9.46/6.94 inference(quant_inst,[status(thm)],[])).
% 9.46/6.94 tff(36040,plain,
% 9.46/6.94 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s272)) | (~m_main_v_state(s272, c_busy))),
% 9.46/6.94 inference(modus_ponens,[status(thm)],[36039, 36038])).
% 9.46/6.94 tff(36041,plain,
% 9.46/6.94 (~m_main_v_state(s272, c_busy)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[36040, 170, 36034])).
% 9.46/6.94 tff(36042,assumption,(~m_main_v_state(s272, c_busy)), introduced(assumption)).
% 9.46/6.94 tff(36043,assumption,(node4(s271)), introduced(assumption)).
% 9.46/6.94 tff(36044,plain,
% 9.46/6.94 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s271) | (~node4(s271)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s271) | (~node4(s271)))),
% 9.46/6.94 inference(rewrite,[status(thm)],[])).
% 9.46/6.94 tff(36045,plain,
% 9.46/6.94 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s271) | (~node4(s271)))),
% 9.46/6.94 inference(quant_inst,[status(thm)],[])).
% 9.46/6.94 tff(36046,plain,
% 9.46/6.94 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s271) | (~node4(s271))),
% 9.46/6.94 inference(modus_ponens,[status(thm)],[36045, 36044])).
% 9.46/6.94 tff(36047,plain,
% 9.46/6.94 (m_main_v_request(s271)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[36046, 154, 36043])).
% 9.46/6.94 tff(36048,plain,
% 9.46/6.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s271, s272)) | node2(s271, s272))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s271, s272)) | node2(s271, s272))),
% 9.46/6.94 inference(rewrite,[status(thm)],[])).
% 9.46/6.94 tff(36049,plain,
% 9.46/6.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s271, s272)) | node2(s271, s272))),
% 9.46/6.94 inference(quant_inst,[status(thm)],[])).
% 9.46/6.94 tff(36050,plain,
% 9.46/6.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s271, s272)) | node2(s271, s272)),
% 9.46/6.94 inference(modus_ponens,[status(thm)],[36049, 36048])).
% 9.46/6.94 tff(36051,plain,
% 9.46/6.94 (node2(s271, s272)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[36050, 7, 5657])).
% 9.46/6.94 tff(36052,plain,
% 9.46/6.94 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s271, c_ready)) | (~node2(s271, s272)) | m_main_v_state(s272, c_busy) | (~m_main_v_request(s271)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s271, c_ready)) | (~node2(s271, s272)) | m_main_v_state(s272, c_busy) | (~m_main_v_request(s271)))),
% 9.46/6.94 inference(rewrite,[status(thm)],[])).
% 9.46/6.94 tff(36053,plain,
% 9.46/6.94 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s271, c_ready)) | (~node2(s271, s272)) | m_main_v_state(s272, c_busy) | (~m_main_v_request(s271)))),
% 9.46/6.94 inference(quant_inst,[status(thm)],[])).
% 9.46/6.94 tff(36054,plain,
% 9.46/6.94 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s271, c_ready)) | (~node2(s271, s272)) | m_main_v_state(s272, c_busy) | (~m_main_v_request(s271))),
% 9.46/6.94 inference(modus_ponens,[status(thm)],[36053, 36052])).
% 9.46/6.94 tff(36055,plain,
% 9.46/6.94 ((~m_main_v_state(s271, c_ready)) | m_main_v_state(s272, c_busy) | (~m_main_v_request(s271))),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[36054, 191, 36051])).
% 9.46/6.94 tff(36056,plain,
% 9.46/6.94 (~m_main_v_state(s271, c_ready)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[36055, 36047, 36042])).
% 9.46/6.94 tff(36057,plain,
% 9.46/6.94 (always3(s271)),
% 9.46/6.94 inference(unit_resolution,[status(thm)],[11830, 22, 36043])).
% 9.46/6.94 tff(36058,plain,
% 9.46/6.94 (((~![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)))),
% 9.46/6.94 inference(rewrite,[status(thm)],[])).
% 9.46/6.94 tff(36059,plain,
% 9.46/6.94 (((~m_main_v_state(s271, c_busy)) | (~always3(s271))) <=> ((~always3(s271)) | (~m_main_v_state(s271, c_busy)))),
% 9.46/6.94 inference(rewrite,[status(thm)],[])).
% 9.46/6.94 tff(36060,plain,
% 9.46/6.94 (((~![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))))),
% 9.46/6.94 inference(monotonicity,[status(thm)],[36059])).
% 9.46/6.94 tff(36061,plain,
% 9.46/6.94 (((~![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)))),
% 9.46/6.95 inference(transitivity,[status(thm)],[36060, 36058])).
% 9.46/6.95 tff(36062,plain,
% 9.46/6.95 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s271, c_busy)) | (~always3(s271)))),
% 9.46/6.95 inference(quant_inst,[status(thm)],[])).
% 9.46/6.95 tff(36063,plain,
% 9.46/6.95 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s271)) | (~m_main_v_state(s271, c_busy))),
% 9.46/6.95 inference(modus_ponens,[status(thm)],[36062, 36061])).
% 9.46/6.95 tff(36064,plain,
% 9.46/6.95 (~m_main_v_state(s271, c_busy)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36063, 170, 36057])).
% 9.46/6.95 tff(36065,plain,
% 9.46/6.95 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s271, c_busy) | m_main_v_state(s271, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s271, c_busy) | m_main_v_state(s271, c_ready))),
% 9.46/6.95 inference(rewrite,[status(thm)],[])).
% 9.46/6.95 tff(36066,plain,
% 9.46/6.95 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s271, c_busy) | m_main_v_state(s271, c_ready))),
% 9.46/6.95 inference(quant_inst,[status(thm)],[])).
% 9.46/6.95 tff(36067,plain,
% 9.46/6.95 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s271, c_busy) | m_main_v_state(s271, c_ready)),
% 9.46/6.95 inference(modus_ponens,[status(thm)],[36066, 36065])).
% 9.46/6.95 tff(36068,plain,
% 9.46/6.95 ($false),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36067, 213, 36064, 36056])).
% 9.46/6.95 tff(36069,plain,((~node4(s271)) | m_main_v_state(s272, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.46/6.95 tff(36070,plain,
% 9.46/6.95 (~node4(s271)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36069, 36041])).
% 9.46/6.95 tff(36071,plain,
% 9.46/6.95 (always3(s273)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5649, 36034])).
% 9.46/6.95 tff(36072,plain,
% 9.46/6.95 (~m_main_v_state(s273, c_busy)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[35717, 170, 36071])).
% 9.46/6.95 tff(36073,plain,
% 9.46/6.95 (((~![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))),
% 9.46/6.95 inference(rewrite,[status(thm)],[])).
% 9.46/6.95 tff(36074,plain,
% 9.46/6.95 ((~![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))),
% 9.46/6.95 inference(quant_inst,[status(thm)],[])).
% 9.46/6.95 tff(36075,plain,
% 9.46/6.95 ((~![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)),
% 9.46/6.95 inference(modus_ponens,[status(thm)],[36074, 36073])).
% 9.46/6.95 tff(36076,plain,
% 9.46/6.95 (m_main_v_state(s272, c_ready)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36075, 213, 36041])).
% 9.46/6.95 tff(36077,plain,
% 9.46/6.95 (((~![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))),
% 9.46/6.95 inference(rewrite,[status(thm)],[])).
% 9.46/6.95 tff(36078,plain,
% 9.46/6.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s272, s273)) | node2(s272, s273))),
% 9.46/6.95 inference(quant_inst,[status(thm)],[])).
% 9.46/6.95 tff(36079,plain,
% 9.46/6.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s272, s273)) | node2(s272, s273)),
% 9.46/6.95 inference(modus_ponens,[status(thm)],[36078, 36077])).
% 9.46/6.95 tff(36080,plain,
% 9.46/6.95 (node2(s272, s273)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36079, 7, 5645])).
% 9.46/6.95 tff(36081,plain,
% 9.46/6.95 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.46/6.95 inference(rewrite,[status(thm)],[])).
% 9.46/6.95 tff(36082,plain,
% 9.46/6.95 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.46/6.95 inference(quant_inst,[status(thm)],[])).
% 9.46/6.95 tff(36083,plain,
% 9.46/6.95 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 9.46/6.95 inference(modus_ponens,[status(thm)],[36082, 36081])).
% 9.46/6.95 tff(36084,plain,
% 9.46/6.95 ((~m_main_v_state(s272, c_ready)) | m_main_v_state(s273, c_busy) | (~m_main_v_request(s272))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36083, 191, 36080])).
% 9.46/6.95 tff(36085,plain,
% 9.46/6.95 (~m_main_v_request(s272)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36084, 36076, 36072])).
% 9.46/6.95 tff(36086,plain,
% 9.46/6.95 (((~![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)))),
% 9.46/6.95 inference(rewrite,[status(thm)],[])).
% 9.46/6.95 tff(36087,plain,
% 9.46/6.95 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s272) | (~node4(s272)))),
% 9.46/6.95 inference(quant_inst,[status(thm)],[])).
% 9.46/6.95 tff(36088,plain,
% 9.46/6.95 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s272) | (~node4(s272))),
% 9.46/6.95 inference(modus_ponens,[status(thm)],[36087, 36086])).
% 9.46/6.95 tff(36089,plain,
% 9.46/6.95 (~node4(s272)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36088, 154, 36085])).
% 9.46/6.95 tff(36090,plain,
% 9.46/6.95 (node4(s272) | (~until5(s272))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11854, 36, 35748])).
% 9.46/6.95 tff(36091,plain,
% 9.46/6.95 (~until5(s272)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36090, 36089])).
% 9.46/6.95 tff(36092,plain,
% 9.46/6.95 (~xuntil6(s271)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11843, 36091])).
% 9.46/6.95 tff(36093,plain,
% 9.46/6.95 (~until5(s271)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11837, 36, 36092, 36070])).
% 9.46/6.95 tff(36094,plain,
% 9.46/6.95 (~xuntil6(s270)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11826, 36093])).
% 9.46/6.95 tff(36095,assumption,(~always3(s270)), introduced(assumption)).
% 9.46/6.95 tff(36096,plain,
% 9.46/6.95 (~always3(s269)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5685, 36095])).
% 9.46/6.95 tff(36097,plain,
% 9.46/6.95 (~node4(s269)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11796, 22, 36096])).
% 9.46/6.95 tff(36098,plain,
% 9.46/6.95 (~node4(s270)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11813, 22, 36095])).
% 9.46/6.95 tff(36099,assumption,(~xuntil6(s270)), introduced(assumption)).
% 9.46/6.95 tff(36100,plain,
% 9.46/6.95 (node4(s270) | (~until5(s270))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11820, 36, 36099])).
% 9.46/6.95 tff(36101,plain,
% 9.46/6.95 (~until5(s270)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36100, 36098])).
% 9.46/6.95 tff(36102,plain,
% 9.46/6.95 (~xuntil6(s269)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11809, 36101])).
% 9.46/6.95 tff(36103,plain,
% 9.46/6.95 (~until5(s269)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11803, 36, 36102, 36097])).
% 9.46/6.95 tff(36104,plain,
% 9.46/6.95 (~xuntil6(s268)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11792, 36103])).
% 9.46/6.95 tff(36105,plain,
% 9.46/6.95 (~always3(s268)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5697, 36096])).
% 9.46/6.95 tff(36106,plain,
% 9.46/6.95 (~node4(s268)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11779, 22, 36105])).
% 9.46/6.95 tff(36107,plain,
% 9.46/6.95 (xuntil6(s268) | (~until5(s268))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11786, 36, 36106])).
% 9.46/6.95 tff(36108,plain,
% 9.46/6.95 (~until5(s268)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36107, 36104])).
% 9.46/6.95 tff(36109,plain,
% 9.46/6.95 (~xuntil6(s267)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11775, 36108])).
% 9.46/6.95 tff(36110,plain,
% 9.46/6.95 (~always3(s267)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5709, 36105])).
% 9.46/6.95 tff(36111,plain,
% 9.46/6.95 (~node4(s267)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11762, 22, 36110])).
% 9.46/6.95 tff(36112,plain,
% 9.46/6.95 (xuntil6(s267) | (~until5(s267))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11769, 36, 36111])).
% 9.46/6.95 tff(36113,plain,
% 9.46/6.95 (~until5(s267)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36112, 36109])).
% 9.46/6.95 tff(36114,plain,
% 9.46/6.95 (~xuntil6(s266)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11758, 36113])).
% 9.46/6.95 tff(36115,plain,
% 9.46/6.95 (~always3(s266)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5721, 36110])).
% 9.46/6.95 tff(36116,plain,
% 9.46/6.95 (~node4(s266)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11745, 22, 36115])).
% 9.46/6.95 tff(36117,plain,
% 9.46/6.95 (xuntil6(s266) | (~until5(s266))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11752, 36, 36116])).
% 9.46/6.95 tff(36118,plain,
% 9.46/6.95 (~until5(s266)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36117, 36114])).
% 9.46/6.95 tff(36119,plain,
% 9.46/6.95 (~xuntil6(s265)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11741, 36118])).
% 9.46/6.95 tff(36120,plain,
% 9.46/6.95 (~always3(s265)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5733, 36115])).
% 9.46/6.95 tff(36121,plain,
% 9.46/6.95 (~node4(s265)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11728, 22, 36120])).
% 9.46/6.95 tff(36122,plain,
% 9.46/6.95 (xuntil6(s265) | (~until5(s265))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11735, 36, 36121])).
% 9.46/6.95 tff(36123,plain,
% 9.46/6.95 (~until5(s265)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36122, 36119])).
% 9.46/6.95 tff(36124,plain,
% 9.46/6.95 (~xuntil6(s264)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11724, 36123])).
% 9.46/6.95 tff(36125,plain,
% 9.46/6.95 (~always3(s264)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5745, 36120])).
% 9.46/6.95 tff(36126,plain,
% 9.46/6.95 (~node4(s264)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11711, 22, 36125])).
% 9.46/6.95 tff(36127,plain,
% 9.46/6.95 (xuntil6(s264) | (~until5(s264))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11718, 36, 36126])).
% 9.46/6.95 tff(36128,plain,
% 9.46/6.95 (~until5(s264)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36127, 36124])).
% 9.46/6.95 tff(36129,plain,
% 9.46/6.95 (~xuntil6(s263)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11707, 36128])).
% 9.46/6.95 tff(36130,plain,
% 9.46/6.95 (~always3(s263)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5757, 36125])).
% 9.46/6.95 tff(36131,plain,
% 9.46/6.95 (~node4(s263)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11694, 22, 36130])).
% 9.46/6.95 tff(36132,plain,
% 9.46/6.95 (xuntil6(s263) | (~until5(s263))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11701, 36, 36131])).
% 9.46/6.95 tff(36133,plain,
% 9.46/6.95 (~until5(s263)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36132, 36129])).
% 9.46/6.95 tff(36134,plain,
% 9.46/6.95 (~xuntil6(s262)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11690, 36133])).
% 9.46/6.95 tff(36135,plain,
% 9.46/6.95 (~always3(s262)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5769, 36130])).
% 9.46/6.95 tff(36136,plain,
% 9.46/6.95 (~node4(s262)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11677, 22, 36135])).
% 9.46/6.95 tff(36137,plain,
% 9.46/6.95 (xuntil6(s262) | (~until5(s262))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11684, 36, 36136])).
% 9.46/6.95 tff(36138,plain,
% 9.46/6.95 (~until5(s262)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36137, 36134])).
% 9.46/6.95 tff(36139,plain,
% 9.46/6.95 (~xuntil6(s261)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11673, 36138])).
% 9.46/6.95 tff(36140,plain,
% 9.46/6.95 (~always3(s261)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5781, 36135])).
% 9.46/6.95 tff(36141,plain,
% 9.46/6.95 (~node4(s261)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11660, 22, 36140])).
% 9.46/6.95 tff(36142,plain,
% 9.46/6.95 (xuntil6(s261) | (~until5(s261))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11667, 36, 36141])).
% 9.46/6.95 tff(36143,plain,
% 9.46/6.95 (~until5(s261)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36142, 36139])).
% 9.46/6.95 tff(36144,plain,
% 9.46/6.95 (~xuntil6(s260)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11656, 36143])).
% 9.46/6.95 tff(36145,plain,
% 9.46/6.95 (~always3(s260)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5793, 36140])).
% 9.46/6.95 tff(36146,plain,
% 9.46/6.95 (~node4(s260)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11643, 22, 36145])).
% 9.46/6.95 tff(36147,plain,
% 9.46/6.95 (xuntil6(s260) | (~until5(s260))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11650, 36, 36146])).
% 9.46/6.95 tff(36148,plain,
% 9.46/6.95 (~until5(s260)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36147, 36144])).
% 9.46/6.95 tff(36149,plain,
% 9.46/6.95 (~xuntil6(s259)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11639, 36148])).
% 9.46/6.95 tff(36150,plain,
% 9.46/6.95 (~always3(s259)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5805, 36145])).
% 9.46/6.95 tff(36151,plain,
% 9.46/6.95 (~node4(s259)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11626, 22, 36150])).
% 9.46/6.95 tff(36152,plain,
% 9.46/6.95 (xuntil6(s259) | (~until5(s259))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11633, 36, 36151])).
% 9.46/6.95 tff(36153,plain,
% 9.46/6.95 (~until5(s259)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36152, 36149])).
% 9.46/6.95 tff(36154,plain,
% 9.46/6.95 (~xuntil6(s258)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11622, 36153])).
% 9.46/6.95 tff(36155,plain,
% 9.46/6.95 (~always3(s258)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5817, 36150])).
% 9.46/6.95 tff(36156,plain,
% 9.46/6.95 (~node4(s258)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11609, 22, 36155])).
% 9.46/6.95 tff(36157,plain,
% 9.46/6.95 (xuntil6(s258) | (~until5(s258))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11616, 36, 36156])).
% 9.46/6.95 tff(36158,plain,
% 9.46/6.95 (~until5(s258)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36157, 36154])).
% 9.46/6.95 tff(36159,plain,
% 9.46/6.95 (~xuntil6(s257)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11605, 36158])).
% 9.46/6.95 tff(36160,plain,
% 9.46/6.95 (~always3(s257)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5829, 36155])).
% 9.46/6.95 tff(36161,plain,
% 9.46/6.95 (~node4(s257)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11592, 22, 36160])).
% 9.46/6.95 tff(36162,plain,
% 9.46/6.95 (xuntil6(s257) | (~until5(s257))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11599, 36, 36161])).
% 9.46/6.95 tff(36163,plain,
% 9.46/6.95 (~until5(s257)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36162, 36159])).
% 9.46/6.95 tff(36164,plain,
% 9.46/6.95 (~xuntil6(s256)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11588, 36163])).
% 9.46/6.95 tff(36165,plain,
% 9.46/6.95 (~always3(s256)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5841, 36160])).
% 9.46/6.95 tff(36166,plain,
% 9.46/6.95 (~node4(s256)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11575, 22, 36165])).
% 9.46/6.95 tff(36167,plain,
% 9.46/6.95 (xuntil6(s256) | (~until5(s256))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11582, 36, 36166])).
% 9.46/6.95 tff(36168,plain,
% 9.46/6.95 (~until5(s256)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36167, 36164])).
% 9.46/6.95 tff(36169,plain,
% 9.46/6.95 (~xuntil6(s255)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11571, 36168])).
% 9.46/6.95 tff(36170,plain,
% 9.46/6.95 (~always3(s255)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5853, 36165])).
% 9.46/6.95 tff(36171,plain,
% 9.46/6.95 (~node4(s255)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11558, 22, 36170])).
% 9.46/6.95 tff(36172,plain,
% 9.46/6.95 (xuntil6(s255) | (~until5(s255))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11565, 36, 36171])).
% 9.46/6.95 tff(36173,plain,
% 9.46/6.95 (~until5(s255)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36172, 36169])).
% 9.46/6.95 tff(36174,plain,
% 9.46/6.95 (~xuntil6(s254)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11554, 36173])).
% 9.46/6.95 tff(36175,plain,
% 9.46/6.95 (~always3(s254)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5865, 36170])).
% 9.46/6.95 tff(36176,plain,
% 9.46/6.95 (~node4(s254)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11541, 22, 36175])).
% 9.46/6.95 tff(36177,plain,
% 9.46/6.95 (xuntil6(s254) | (~until5(s254))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11548, 36, 36176])).
% 9.46/6.95 tff(36178,plain,
% 9.46/6.95 (~until5(s254)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36177, 36174])).
% 9.46/6.95 tff(36179,plain,
% 9.46/6.95 (~xuntil6(s253)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11537, 36178])).
% 9.46/6.95 tff(36180,plain,
% 9.46/6.95 (~until5(s253)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11532, 36179])).
% 9.46/6.95 tff(36181,plain,
% 9.46/6.95 (~xuntil6(s252)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11523, 36180])).
% 9.46/6.95 tff(36182,plain,
% 9.46/6.95 (~always3(s253)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5092, 36175])).
% 9.46/6.95 tff(36183,plain,
% 9.46/6.95 (~always3(s252)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5878, 36182])).
% 9.46/6.95 tff(36184,plain,
% 9.46/6.95 (~node4(s252)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11510, 22, 36183])).
% 9.46/6.95 tff(36185,plain,
% 9.46/6.95 (xuntil6(s252) | (~until5(s252))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11517, 36, 36184])).
% 9.46/6.95 tff(36186,plain,
% 9.46/6.95 (~until5(s252)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36185, 36181])).
% 9.46/6.95 tff(36187,plain,
% 9.46/6.95 (~xuntil6(s251)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11506, 36186])).
% 9.46/6.95 tff(36188,plain,
% 9.46/6.95 (~always3(s251)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5890, 36183])).
% 9.46/6.95 tff(36189,plain,
% 9.46/6.95 (~node4(s251)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11493, 22, 36188])).
% 9.46/6.95 tff(36190,plain,
% 9.46/6.95 (xuntil6(s251) | (~until5(s251))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11500, 36, 36189])).
% 9.46/6.95 tff(36191,plain,
% 9.46/6.95 (~until5(s251)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36190, 36187])).
% 9.46/6.95 tff(36192,plain,
% 9.46/6.95 (~xuntil6(s250)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11489, 36191])).
% 9.46/6.95 tff(36193,plain,
% 9.46/6.95 (~always3(s250)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5902, 36188])).
% 9.46/6.95 tff(36194,plain,
% 9.46/6.95 (~node4(s250)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11476, 22, 36193])).
% 9.46/6.95 tff(36195,plain,
% 9.46/6.95 (xuntil6(s250) | (~until5(s250))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11483, 36, 36194])).
% 9.46/6.95 tff(36196,plain,
% 9.46/6.95 (~until5(s250)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36195, 36192])).
% 9.46/6.95 tff(36197,plain,
% 9.46/6.95 (~xuntil6(s249)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11472, 36196])).
% 9.46/6.95 tff(36198,plain,
% 9.46/6.95 (~always3(s249)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5914, 36193])).
% 9.46/6.95 tff(36199,plain,
% 9.46/6.95 (~node4(s249)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11459, 22, 36198])).
% 9.46/6.95 tff(36200,plain,
% 9.46/6.95 (xuntil6(s249) | (~until5(s249))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11466, 36, 36199])).
% 9.46/6.95 tff(36201,plain,
% 9.46/6.95 (~until5(s249)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36200, 36197])).
% 9.46/6.95 tff(36202,plain,
% 9.46/6.95 (~xuntil6(s248)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11455, 36201])).
% 9.46/6.95 tff(36203,plain,
% 9.46/6.95 (~always3(s248)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5926, 36198])).
% 9.46/6.95 tff(36204,plain,
% 9.46/6.95 (~node4(s248)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11442, 22, 36203])).
% 9.46/6.95 tff(36205,plain,
% 9.46/6.95 (xuntil6(s248) | (~until5(s248))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11449, 36, 36204])).
% 9.46/6.95 tff(36206,plain,
% 9.46/6.95 (~until5(s248)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36205, 36202])).
% 9.46/6.95 tff(36207,plain,
% 9.46/6.95 (~xuntil6(s247)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11438, 36206])).
% 9.46/6.95 tff(36208,plain,
% 9.46/6.95 (~always3(s247)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5938, 36203])).
% 9.46/6.95 tff(36209,plain,
% 9.46/6.95 (~node4(s247)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11425, 22, 36208])).
% 9.46/6.95 tff(36210,plain,
% 9.46/6.95 (xuntil6(s247) | (~until5(s247))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11432, 36, 36209])).
% 9.46/6.95 tff(36211,plain,
% 9.46/6.95 (~until5(s247)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36210, 36207])).
% 9.46/6.95 tff(36212,plain,
% 9.46/6.95 (~xuntil6(s246)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11421, 36211])).
% 9.46/6.95 tff(36213,plain,
% 9.46/6.95 (~always3(s246)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5950, 36208])).
% 9.46/6.95 tff(36214,plain,
% 9.46/6.95 (~node4(s246)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11408, 22, 36213])).
% 9.46/6.95 tff(36215,plain,
% 9.46/6.95 (xuntil6(s246) | (~until5(s246))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11415, 36, 36214])).
% 9.46/6.95 tff(36216,plain,
% 9.46/6.95 (~until5(s246)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36215, 36212])).
% 9.46/6.95 tff(36217,plain,
% 9.46/6.95 (~xuntil6(s245)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11404, 36216])).
% 9.46/6.95 tff(36218,plain,
% 9.46/6.95 (~always3(s245)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5962, 36213])).
% 9.46/6.95 tff(36219,plain,
% 9.46/6.95 (~node4(s245)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11391, 22, 36218])).
% 9.46/6.95 tff(36220,plain,
% 9.46/6.95 (xuntil6(s245) | (~until5(s245))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11398, 36, 36219])).
% 9.46/6.95 tff(36221,plain,
% 9.46/6.95 (~until5(s245)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36220, 36217])).
% 9.46/6.95 tff(36222,plain,
% 9.46/6.95 (~xuntil6(s244)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11387, 36221])).
% 9.46/6.95 tff(36223,plain,
% 9.46/6.95 (~always3(s244)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5974, 36218])).
% 9.46/6.95 tff(36224,plain,
% 9.46/6.95 (~node4(s244)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11374, 22, 36223])).
% 9.46/6.95 tff(36225,plain,
% 9.46/6.95 (xuntil6(s244) | (~until5(s244))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11381, 36, 36224])).
% 9.46/6.95 tff(36226,plain,
% 9.46/6.95 (~until5(s244)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36225, 36222])).
% 9.46/6.95 tff(36227,plain,
% 9.46/6.95 (~xuntil6(s243)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11370, 36226])).
% 9.46/6.95 tff(36228,plain,
% 9.46/6.95 (~always3(s243)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5986, 36223])).
% 9.46/6.95 tff(36229,plain,
% 9.46/6.95 (~always3(s242)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5998, 36228])).
% 9.46/6.95 tff(36230,plain,
% 9.46/6.95 (~always3(s241)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6010, 36229])).
% 9.46/6.95 tff(36231,plain,
% 9.46/6.95 (~always3(s240)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6022, 36230])).
% 9.46/6.95 tff(36232,plain,
% 9.46/6.95 (~always3(s239)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6034, 36231])).
% 9.46/6.95 tff(36233,plain,
% 9.46/6.95 (~always3(s238)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6046, 36232])).
% 9.46/6.95 tff(36234,plain,
% 9.46/6.95 (~always3(s237)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6058, 36233])).
% 9.46/6.95 tff(36235,plain,
% 9.46/6.95 (~always3(s236)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6070, 36234])).
% 9.46/6.95 tff(36236,plain,
% 9.46/6.95 (~always3(s235)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6082, 36235])).
% 9.46/6.95 tff(36237,plain,
% 9.46/6.95 (~always3(s234)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6094, 36236])).
% 9.46/6.95 tff(36238,plain,
% 9.46/6.95 (~always3(s233)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6106, 36237])).
% 9.46/6.95 tff(36239,plain,
% 9.46/6.95 (~always3(s232)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6118, 36238])).
% 9.46/6.95 tff(36240,plain,
% 9.46/6.95 (~always3(s231)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6130, 36239])).
% 9.46/6.95 tff(36241,plain,
% 9.46/6.95 (~always3(s230)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6142, 36240])).
% 9.46/6.95 tff(36242,plain,
% 9.46/6.95 (~always3(s229)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6154, 36241])).
% 9.46/6.95 tff(36243,plain,
% 9.46/6.95 (~always3(s228)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6166, 36242])).
% 9.46/6.95 tff(36244,plain,
% 9.46/6.95 (~always3(s227)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6178, 36243])).
% 9.46/6.95 tff(36245,plain,
% 9.46/6.95 (~always3(s226)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6190, 36244])).
% 9.46/6.95 tff(36246,plain,
% 9.46/6.95 (~always3(s225)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6202, 36245])).
% 9.46/6.95 tff(36247,plain,
% 9.46/6.95 (~always3(s224)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6214, 36246])).
% 9.46/6.95 tff(36248,plain,
% 9.46/6.95 (~always3(s223)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6226, 36247])).
% 9.46/6.95 tff(36249,plain,
% 9.46/6.95 (~always3(s222)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6238, 36248])).
% 9.46/6.95 tff(36250,plain,
% 9.46/6.95 (~always3(s221)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6250, 36249])).
% 9.46/6.95 tff(36251,plain,
% 9.46/6.95 (~always3(s220)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6262, 36250])).
% 9.46/6.95 tff(36252,plain,
% 9.46/6.95 (~always3(s219)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6274, 36251])).
% 9.46/6.95 tff(36253,plain,
% 9.46/6.95 (~always3(s218)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6286, 36252])).
% 9.46/6.95 tff(36254,plain,
% 9.46/6.95 (~always3(s217)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6298, 36253])).
% 9.46/6.95 tff(36255,plain,
% 9.46/6.95 (~node4(s217)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6302, 22, 36254])).
% 9.46/6.95 tff(36256,plain,
% 9.46/6.95 (~always3(s216)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6314, 36254])).
% 9.46/6.95 tff(36257,plain,
% 9.46/6.95 (~node4(s216)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6318, 22, 36256])).
% 9.46/6.95 tff(36258,plain,
% 9.46/6.95 (~always3(s215)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[6331, 36256])).
% 9.46/6.95 tff(36259,plain,
% 9.46/6.95 (xuntil6(s215)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[10898, 36258, 6320])).
% 9.46/6.95 tff(36260,plain,
% 9.46/6.95 (until5(s216)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[10903, 36259])).
% 9.46/6.95 tff(36261,plain,
% 9.46/6.95 (xuntil6(s216) | node4(s216)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[10910, 36, 36260])).
% 9.46/6.95 tff(36262,plain,
% 9.46/6.95 (xuntil6(s216)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36261, 36257])).
% 9.46/6.95 tff(36263,plain,
% 9.46/6.95 (until5(s217)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[10916, 36262])).
% 9.46/6.95 tff(36264,plain,
% 9.46/6.95 (xuntil6(s217)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[10923, 36, 36263, 36255])).
% 9.46/6.95 tff(36265,plain,
% 9.46/6.95 (until5(s218)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[10928, 36264])).
% 9.46/6.95 tff(36266,plain,
% 9.46/6.95 (~node4(s218)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[10932, 22, 36253])).
% 9.46/6.95 tff(36267,plain,
% 9.46/6.95 (xuntil6(s218) | (~until5(s218))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[10939, 36, 36266])).
% 9.46/6.95 tff(36268,plain,
% 9.46/6.95 (xuntil6(s218)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36267, 36265])).
% 9.46/6.95 tff(36269,plain,
% 9.46/6.95 (until5(s219)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[10945, 36268])).
% 9.46/6.95 tff(36270,plain,
% 9.46/6.95 (~node4(s219)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[10949, 22, 36252])).
% 9.46/6.95 tff(36271,plain,
% 9.46/6.95 (xuntil6(s219) | (~until5(s219))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[10956, 36, 36270])).
% 9.46/6.95 tff(36272,plain,
% 9.46/6.95 (xuntil6(s219)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36271, 36269])).
% 9.46/6.95 tff(36273,plain,
% 9.46/6.95 (until5(s220)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[10962, 36272])).
% 9.46/6.95 tff(36274,plain,
% 9.46/6.95 (~node4(s220)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[10966, 22, 36251])).
% 9.46/6.95 tff(36275,plain,
% 9.46/6.95 (xuntil6(s220) | (~until5(s220))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[10973, 36, 36274])).
% 9.46/6.95 tff(36276,plain,
% 9.46/6.95 (xuntil6(s220)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36275, 36273])).
% 9.46/6.95 tff(36277,plain,
% 9.46/6.95 (until5(s221)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[10979, 36276])).
% 9.46/6.95 tff(36278,plain,
% 9.46/6.95 (~node4(s221)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[10983, 22, 36250])).
% 9.46/6.95 tff(36279,plain,
% 9.46/6.95 (xuntil6(s221) | (~until5(s221))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[10990, 36, 36278])).
% 9.46/6.95 tff(36280,plain,
% 9.46/6.95 (xuntil6(s221)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36279, 36277])).
% 9.46/6.95 tff(36281,plain,
% 9.46/6.95 (until5(s222)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[10996, 36280])).
% 9.46/6.95 tff(36282,plain,
% 9.46/6.95 (~node4(s222)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11000, 22, 36249])).
% 9.46/6.95 tff(36283,plain,
% 9.46/6.95 (xuntil6(s222) | (~until5(s222))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11007, 36, 36282])).
% 9.46/6.95 tff(36284,plain,
% 9.46/6.95 (xuntil6(s222)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36283, 36281])).
% 9.46/6.95 tff(36285,plain,
% 9.46/6.95 (until5(s223)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11013, 36284])).
% 9.46/6.95 tff(36286,plain,
% 9.46/6.95 (~node4(s223)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11017, 22, 36248])).
% 9.46/6.95 tff(36287,plain,
% 9.46/6.95 (xuntil6(s223) | (~until5(s223))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11024, 36, 36286])).
% 9.46/6.95 tff(36288,plain,
% 9.46/6.95 (xuntil6(s223)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36287, 36285])).
% 9.46/6.95 tff(36289,plain,
% 9.46/6.95 (until5(s224)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11030, 36288])).
% 9.46/6.95 tff(36290,plain,
% 9.46/6.95 (~node4(s224)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11034, 22, 36247])).
% 9.46/6.95 tff(36291,plain,
% 9.46/6.95 (xuntil6(s224) | (~until5(s224))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11041, 36, 36290])).
% 9.46/6.95 tff(36292,plain,
% 9.46/6.95 (xuntil6(s224)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36291, 36289])).
% 9.46/6.95 tff(36293,plain,
% 9.46/6.95 (until5(s225)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11047, 36292])).
% 9.46/6.95 tff(36294,plain,
% 9.46/6.95 (~node4(s225)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11051, 22, 36246])).
% 9.46/6.95 tff(36295,plain,
% 9.46/6.95 (xuntil6(s225) | (~until5(s225))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11058, 36, 36294])).
% 9.46/6.95 tff(36296,plain,
% 9.46/6.95 (xuntil6(s225)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36295, 36293])).
% 9.46/6.95 tff(36297,plain,
% 9.46/6.95 (until5(s226)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11064, 36296])).
% 9.46/6.95 tff(36298,plain,
% 9.46/6.95 (~node4(s226)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11068, 22, 36245])).
% 9.46/6.95 tff(36299,plain,
% 9.46/6.95 (xuntil6(s226) | (~until5(s226))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11075, 36, 36298])).
% 9.46/6.95 tff(36300,plain,
% 9.46/6.95 (xuntil6(s226)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36299, 36297])).
% 9.46/6.95 tff(36301,plain,
% 9.46/6.95 (until5(s227)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11081, 36300])).
% 9.46/6.95 tff(36302,plain,
% 9.46/6.95 (~node4(s227)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11085, 22, 36244])).
% 9.46/6.95 tff(36303,plain,
% 9.46/6.95 (xuntil6(s227) | (~until5(s227))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11092, 36, 36302])).
% 9.46/6.95 tff(36304,plain,
% 9.46/6.95 (xuntil6(s227)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36303, 36301])).
% 9.46/6.95 tff(36305,plain,
% 9.46/6.95 (until5(s228)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11098, 36304])).
% 9.46/6.95 tff(36306,plain,
% 9.46/6.95 (~node4(s228)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11102, 22, 36243])).
% 9.46/6.95 tff(36307,plain,
% 9.46/6.95 (xuntil6(s228) | (~until5(s228))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11109, 36, 36306])).
% 9.46/6.95 tff(36308,plain,
% 9.46/6.95 (xuntil6(s228)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36307, 36305])).
% 9.46/6.95 tff(36309,plain,
% 9.46/6.95 (until5(s229)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11115, 36308])).
% 9.46/6.95 tff(36310,plain,
% 9.46/6.95 (~node4(s229)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11119, 22, 36242])).
% 9.46/6.95 tff(36311,plain,
% 9.46/6.95 (xuntil6(s229) | (~until5(s229))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11126, 36, 36310])).
% 9.46/6.95 tff(36312,plain,
% 9.46/6.95 (xuntil6(s229)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36311, 36309])).
% 9.46/6.95 tff(36313,plain,
% 9.46/6.95 (until5(s230)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11132, 36312])).
% 9.46/6.95 tff(36314,plain,
% 9.46/6.95 (~node4(s230)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11136, 22, 36241])).
% 9.46/6.95 tff(36315,plain,
% 9.46/6.95 (xuntil6(s230) | (~until5(s230))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11143, 36, 36314])).
% 9.46/6.95 tff(36316,plain,
% 9.46/6.95 (xuntil6(s230)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36315, 36313])).
% 9.46/6.95 tff(36317,plain,
% 9.46/6.95 (until5(s231)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11149, 36316])).
% 9.46/6.95 tff(36318,plain,
% 9.46/6.95 (~node4(s231)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11153, 22, 36240])).
% 9.46/6.95 tff(36319,plain,
% 9.46/6.95 (xuntil6(s231) | (~until5(s231))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11160, 36, 36318])).
% 9.46/6.95 tff(36320,plain,
% 9.46/6.95 (xuntil6(s231)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36319, 36317])).
% 9.46/6.95 tff(36321,plain,
% 9.46/6.95 (until5(s232)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11166, 36320])).
% 9.46/6.95 tff(36322,plain,
% 9.46/6.95 (~node4(s232)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11170, 22, 36239])).
% 9.46/6.95 tff(36323,plain,
% 9.46/6.95 (xuntil6(s232) | (~until5(s232))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11177, 36, 36322])).
% 9.46/6.95 tff(36324,plain,
% 9.46/6.95 (xuntil6(s232)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36323, 36321])).
% 9.46/6.95 tff(36325,plain,
% 9.46/6.95 (until5(s233)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11183, 36324])).
% 9.46/6.95 tff(36326,plain,
% 9.46/6.95 (~node4(s233)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11187, 22, 36238])).
% 9.46/6.95 tff(36327,plain,
% 9.46/6.95 (xuntil6(s233) | (~until5(s233))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11194, 36, 36326])).
% 9.46/6.95 tff(36328,plain,
% 9.46/6.95 (xuntil6(s233)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36327, 36325])).
% 9.46/6.95 tff(36329,plain,
% 9.46/6.95 (until5(s234)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11200, 36328])).
% 9.46/6.95 tff(36330,plain,
% 9.46/6.95 (~node4(s234)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11204, 22, 36237])).
% 9.46/6.95 tff(36331,plain,
% 9.46/6.95 (xuntil6(s234) | (~until5(s234))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11211, 36, 36330])).
% 9.46/6.95 tff(36332,plain,
% 9.46/6.95 (xuntil6(s234)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36331, 36329])).
% 9.46/6.95 tff(36333,plain,
% 9.46/6.95 (until5(s235)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11217, 36332])).
% 9.46/6.95 tff(36334,plain,
% 9.46/6.95 (~node4(s235)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11221, 22, 36236])).
% 9.46/6.95 tff(36335,plain,
% 9.46/6.95 (xuntil6(s235) | (~until5(s235))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11228, 36, 36334])).
% 9.46/6.95 tff(36336,plain,
% 9.46/6.95 (xuntil6(s235)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36335, 36333])).
% 9.46/6.95 tff(36337,plain,
% 9.46/6.95 (until5(s236)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11234, 36336])).
% 9.46/6.95 tff(36338,plain,
% 9.46/6.95 (~node4(s236)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11238, 22, 36235])).
% 9.46/6.95 tff(36339,plain,
% 9.46/6.95 (xuntil6(s236) | (~until5(s236))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11245, 36, 36338])).
% 9.46/6.95 tff(36340,plain,
% 9.46/6.95 (xuntil6(s236)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36339, 36337])).
% 9.46/6.95 tff(36341,plain,
% 9.46/6.95 (until5(s237)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11251, 36340])).
% 9.46/6.95 tff(36342,plain,
% 9.46/6.95 (~node4(s237)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11255, 22, 36234])).
% 9.46/6.95 tff(36343,plain,
% 9.46/6.95 (xuntil6(s237) | (~until5(s237))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11262, 36, 36342])).
% 9.46/6.95 tff(36344,plain,
% 9.46/6.95 (xuntil6(s237)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36343, 36341])).
% 9.46/6.95 tff(36345,plain,
% 9.46/6.95 (until5(s238)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11268, 36344])).
% 9.46/6.95 tff(36346,plain,
% 9.46/6.95 (~node4(s238)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11272, 22, 36233])).
% 9.46/6.95 tff(36347,plain,
% 9.46/6.95 (xuntil6(s238) | (~until5(s238))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11279, 36, 36346])).
% 9.46/6.95 tff(36348,plain,
% 9.46/6.95 (xuntil6(s238)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36347, 36345])).
% 9.46/6.95 tff(36349,plain,
% 9.46/6.95 (until5(s239)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11285, 36348])).
% 9.46/6.95 tff(36350,plain,
% 9.46/6.95 (~node4(s239)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11289, 22, 36232])).
% 9.46/6.95 tff(36351,plain,
% 9.46/6.95 (xuntil6(s239) | (~until5(s239))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11296, 36, 36350])).
% 9.46/6.95 tff(36352,plain,
% 9.46/6.95 (xuntil6(s239)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36351, 36349])).
% 9.46/6.95 tff(36353,plain,
% 9.46/6.95 (until5(s240)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11302, 36352])).
% 9.46/6.95 tff(36354,plain,
% 9.46/6.95 (~node4(s240)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11306, 22, 36231])).
% 9.46/6.95 tff(36355,plain,
% 9.46/6.95 (xuntil6(s240) | (~until5(s240))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11313, 36, 36354])).
% 9.46/6.95 tff(36356,plain,
% 9.46/6.95 (xuntil6(s240)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36355, 36353])).
% 9.46/6.95 tff(36357,plain,
% 9.46/6.95 (until5(s241)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11319, 36356])).
% 9.46/6.95 tff(36358,plain,
% 9.46/6.95 (~node4(s241)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11323, 22, 36230])).
% 9.46/6.95 tff(36359,plain,
% 9.46/6.95 (xuntil6(s241) | (~until5(s241))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11330, 36, 36358])).
% 9.46/6.95 tff(36360,plain,
% 9.46/6.95 (xuntil6(s241)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36359, 36357])).
% 9.46/6.95 tff(36361,plain,
% 9.46/6.95 (until5(s242)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11336, 36360])).
% 9.46/6.95 tff(36362,plain,
% 9.46/6.95 (~node4(s242)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11340, 22, 36229])).
% 9.46/6.95 tff(36363,plain,
% 9.46/6.95 (xuntil6(s242) | (~until5(s242))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11347, 36, 36362])).
% 9.46/6.95 tff(36364,plain,
% 9.46/6.95 (xuntil6(s242)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36363, 36361])).
% 9.46/6.95 tff(36365,plain,
% 9.46/6.95 (until5(s243)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11353, 36364])).
% 9.46/6.95 tff(36366,plain,
% 9.46/6.95 (~node4(s243)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11357, 22, 36228])).
% 9.46/6.95 tff(36367,plain,
% 9.46/6.95 (xuntil6(s243) | (~until5(s243))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11364, 36, 36366])).
% 9.46/6.95 tff(36368,plain,
% 9.46/6.95 ($false),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36367, 36365, 36227])).
% 9.46/6.95 tff(36369,plain,(always3(s270) | node4(s253) | xuntil6(s270) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.46/6.95 tff(36370,plain,
% 9.46/6.95 (always3(s270)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36369, 36094, 6320, 35006])).
% 9.46/6.95 tff(36371,plain,
% 9.46/6.95 (((~![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)))),
% 9.46/6.95 inference(rewrite,[status(thm)],[])).
% 9.46/6.95 tff(36372,plain,
% 9.46/6.95 (((~m_main_v_state(s270, c_busy)) | (~always3(s270))) <=> ((~always3(s270)) | (~m_main_v_state(s270, c_busy)))),
% 9.46/6.95 inference(rewrite,[status(thm)],[])).
% 9.46/6.95 tff(36373,plain,
% 9.46/6.95 (((~![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))))),
% 9.46/6.95 inference(monotonicity,[status(thm)],[36372])).
% 9.46/6.95 tff(36374,plain,
% 9.46/6.95 (((~![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)))),
% 9.46/6.95 inference(transitivity,[status(thm)],[36373, 36371])).
% 9.46/6.95 tff(36375,plain,
% 9.46/6.95 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s270, c_busy)) | (~always3(s270)))),
% 9.46/6.95 inference(quant_inst,[status(thm)],[])).
% 9.46/6.95 tff(36376,plain,
% 9.46/6.95 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s270)) | (~m_main_v_state(s270, c_busy))),
% 9.46/6.95 inference(modus_ponens,[status(thm)],[36375, 36374])).
% 9.46/6.95 tff(36377,plain,
% 9.46/6.95 (~m_main_v_state(s270, c_busy)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36376, 170, 36370])).
% 9.46/6.95 tff(36378,assumption,(~m_main_v_state(s270, c_busy)), introduced(assumption)).
% 9.46/6.95 tff(36379,assumption,(node4(s269)), introduced(assumption)).
% 9.46/6.95 tff(36380,plain,
% 9.46/6.95 (((~![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)))),
% 9.46/6.95 inference(rewrite,[status(thm)],[])).
% 9.46/6.95 tff(36381,plain,
% 9.46/6.95 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s269) | (~node4(s269)))),
% 9.46/6.95 inference(quant_inst,[status(thm)],[])).
% 9.46/6.95 tff(36382,plain,
% 9.46/6.95 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s269) | (~node4(s269))),
% 9.46/6.95 inference(modus_ponens,[status(thm)],[36381, 36380])).
% 9.46/6.95 tff(36383,plain,
% 9.46/6.95 (m_main_v_request(s269)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36382, 154, 36379])).
% 9.46/6.95 tff(36384,plain,
% 9.46/6.95 (((~![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))),
% 9.46/6.95 inference(rewrite,[status(thm)],[])).
% 9.46/6.95 tff(36385,plain,
% 9.46/6.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s269, s270)) | node2(s269, s270))),
% 9.46/6.95 inference(quant_inst,[status(thm)],[])).
% 9.46/6.95 tff(36386,plain,
% 9.46/6.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s269, s270)) | node2(s269, s270)),
% 9.46/6.95 inference(modus_ponens,[status(thm)],[36385, 36384])).
% 9.46/6.95 tff(36387,plain,
% 9.46/6.95 (node2(s269, s270)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36386, 7, 5681])).
% 9.46/6.95 tff(36388,plain,
% 9.46/6.95 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.46/6.95 inference(rewrite,[status(thm)],[])).
% 9.46/6.95 tff(36389,plain,
% 9.46/6.95 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.46/6.95 inference(quant_inst,[status(thm)],[])).
% 9.46/6.95 tff(36390,plain,
% 9.46/6.95 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 9.46/6.95 inference(modus_ponens,[status(thm)],[36389, 36388])).
% 9.46/6.95 tff(36391,plain,
% 9.46/6.95 ((~m_main_v_state(s269, c_ready)) | m_main_v_state(s270, c_busy) | (~m_main_v_request(s269))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36390, 191, 36387])).
% 9.46/6.95 tff(36392,plain,
% 9.46/6.95 (~m_main_v_state(s269, c_ready)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36391, 36383, 36378])).
% 9.46/6.95 tff(36393,plain,
% 9.46/6.95 (always3(s269)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11796, 22, 36379])).
% 9.46/6.95 tff(36394,plain,
% 9.46/6.95 (((~![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)))),
% 9.46/6.95 inference(rewrite,[status(thm)],[])).
% 9.46/6.95 tff(36395,plain,
% 9.46/6.95 (((~m_main_v_state(s269, c_busy)) | (~always3(s269))) <=> ((~always3(s269)) | (~m_main_v_state(s269, c_busy)))),
% 9.46/6.95 inference(rewrite,[status(thm)],[])).
% 9.46/6.95 tff(36396,plain,
% 9.46/6.95 (((~![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))))),
% 9.46/6.95 inference(monotonicity,[status(thm)],[36395])).
% 9.46/6.95 tff(36397,plain,
% 9.46/6.95 (((~![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)))),
% 9.46/6.95 inference(transitivity,[status(thm)],[36396, 36394])).
% 9.46/6.95 tff(36398,plain,
% 9.46/6.95 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s269, c_busy)) | (~always3(s269)))),
% 9.46/6.95 inference(quant_inst,[status(thm)],[])).
% 9.46/6.95 tff(36399,plain,
% 9.46/6.95 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s269)) | (~m_main_v_state(s269, c_busy))),
% 9.46/6.95 inference(modus_ponens,[status(thm)],[36398, 36397])).
% 9.46/6.95 tff(36400,plain,
% 9.46/6.95 (~m_main_v_state(s269, c_busy)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36399, 170, 36393])).
% 9.46/6.95 tff(36401,plain,
% 9.46/6.95 (((~![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))),
% 9.46/6.95 inference(rewrite,[status(thm)],[])).
% 9.46/6.95 tff(36402,plain,
% 9.46/6.95 ((~![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))),
% 9.46/6.95 inference(quant_inst,[status(thm)],[])).
% 9.46/6.95 tff(36403,plain,
% 9.46/6.95 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s269, c_busy) | m_main_v_state(s269, c_ready)),
% 9.46/6.95 inference(modus_ponens,[status(thm)],[36402, 36401])).
% 9.46/6.95 tff(36404,plain,
% 9.46/6.95 ($false),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36403, 213, 36400, 36392])).
% 9.46/6.95 tff(36405,plain,((~node4(s269)) | m_main_v_state(s270, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.46/6.95 tff(36406,plain,
% 9.46/6.95 (~node4(s269)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36405, 36377])).
% 9.46/6.95 tff(36407,plain,
% 9.46/6.95 (always3(s271)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5673, 36370])).
% 9.46/6.95 tff(36408,plain,
% 9.46/6.95 (~m_main_v_state(s271, c_busy)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36063, 170, 36407])).
% 9.46/6.95 tff(36409,plain,
% 9.46/6.95 (((~![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))),
% 9.46/6.95 inference(rewrite,[status(thm)],[])).
% 9.46/6.95 tff(36410,plain,
% 9.46/6.95 ((~![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))),
% 9.46/6.95 inference(quant_inst,[status(thm)],[])).
% 9.46/6.95 tff(36411,plain,
% 9.46/6.95 ((~![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)),
% 9.46/6.95 inference(modus_ponens,[status(thm)],[36410, 36409])).
% 9.46/6.95 tff(36412,plain,
% 9.46/6.95 (m_main_v_state(s270, c_ready)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36411, 213, 36377])).
% 9.46/6.95 tff(36413,plain,
% 9.46/6.95 (((~![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))),
% 9.46/6.95 inference(rewrite,[status(thm)],[])).
% 9.46/6.95 tff(36414,plain,
% 9.46/6.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s270, s271)) | node2(s270, s271))),
% 9.46/6.95 inference(quant_inst,[status(thm)],[])).
% 9.46/6.95 tff(36415,plain,
% 9.46/6.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s270, s271)) | node2(s270, s271)),
% 9.46/6.95 inference(modus_ponens,[status(thm)],[36414, 36413])).
% 9.46/6.95 tff(36416,plain,
% 9.46/6.95 (node2(s270, s271)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36415, 7, 5669])).
% 9.46/6.95 tff(36417,plain,
% 9.46/6.95 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.46/6.95 inference(rewrite,[status(thm)],[])).
% 9.46/6.95 tff(36418,plain,
% 9.46/6.95 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.46/6.95 inference(quant_inst,[status(thm)],[])).
% 9.46/6.95 tff(36419,plain,
% 9.46/6.95 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 9.46/6.95 inference(modus_ponens,[status(thm)],[36418, 36417])).
% 9.46/6.95 tff(36420,plain,
% 9.46/6.95 ((~m_main_v_state(s270, c_ready)) | m_main_v_state(s271, c_busy) | (~m_main_v_request(s270))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36419, 191, 36416])).
% 9.46/6.95 tff(36421,plain,
% 9.46/6.95 (~m_main_v_request(s270)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36420, 36412, 36408])).
% 9.46/6.95 tff(36422,plain,
% 9.46/6.95 (((~![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)))),
% 9.46/6.95 inference(rewrite,[status(thm)],[])).
% 9.46/6.95 tff(36423,plain,
% 9.46/6.95 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s270) | (~node4(s270)))),
% 9.46/6.95 inference(quant_inst,[status(thm)],[])).
% 9.46/6.95 tff(36424,plain,
% 9.46/6.95 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s270) | (~node4(s270))),
% 9.46/6.95 inference(modus_ponens,[status(thm)],[36423, 36422])).
% 9.46/6.95 tff(36425,plain,
% 9.46/6.95 (~node4(s270)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36424, 154, 36421])).
% 9.46/6.95 tff(36426,plain,
% 9.46/6.95 (node4(s270) | (~until5(s270))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11820, 36, 36094])).
% 9.46/6.95 tff(36427,plain,
% 9.46/6.95 (~until5(s270)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36426, 36425])).
% 9.46/6.95 tff(36428,plain,
% 9.46/6.95 (~xuntil6(s269)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11809, 36427])).
% 9.46/6.95 tff(36429,plain,
% 9.46/6.95 (~until5(s269)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11803, 36, 36428, 36406])).
% 9.46/6.95 tff(36430,plain,
% 9.46/6.95 (~xuntil6(s268)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11792, 36429])).
% 9.46/6.95 tff(36431,assumption,(~always3(s268)), introduced(assumption)).
% 9.46/6.95 tff(36432,plain,
% 9.46/6.95 (~always3(s267)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5709, 36431])).
% 9.46/6.95 tff(36433,plain,
% 9.46/6.95 (~node4(s267)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11762, 22, 36432])).
% 9.46/6.95 tff(36434,plain,
% 9.46/6.95 (~node4(s268)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11779, 22, 36431])).
% 9.46/6.95 tff(36435,assumption,(~xuntil6(s268)), introduced(assumption)).
% 9.46/6.95 tff(36436,plain,
% 9.46/6.95 (node4(s268) | (~until5(s268))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11786, 36, 36435])).
% 9.46/6.95 tff(36437,plain,
% 9.46/6.95 (~until5(s268)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36436, 36434])).
% 9.46/6.95 tff(36438,plain,
% 9.46/6.95 (~xuntil6(s267)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11775, 36437])).
% 9.46/6.95 tff(36439,plain,
% 9.46/6.95 (~until5(s267)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11769, 36, 36438, 36433])).
% 9.46/6.95 tff(36440,plain,
% 9.46/6.95 (~xuntil6(s266)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11758, 36439])).
% 9.46/6.95 tff(36441,plain,
% 9.46/6.95 (~always3(s266)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5721, 36432])).
% 9.46/6.95 tff(36442,plain,
% 9.46/6.95 (~node4(s266)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11745, 22, 36441])).
% 9.46/6.95 tff(36443,plain,
% 9.46/6.95 (xuntil6(s266) | (~until5(s266))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11752, 36, 36442])).
% 9.46/6.95 tff(36444,plain,
% 9.46/6.95 (~until5(s266)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36443, 36440])).
% 9.46/6.95 tff(36445,plain,
% 9.46/6.95 (~xuntil6(s265)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11741, 36444])).
% 9.46/6.95 tff(36446,plain,
% 9.46/6.95 (~always3(s265)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5733, 36441])).
% 9.46/6.95 tff(36447,plain,
% 9.46/6.95 (~node4(s265)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11728, 22, 36446])).
% 9.46/6.95 tff(36448,plain,
% 9.46/6.95 (xuntil6(s265) | (~until5(s265))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11735, 36, 36447])).
% 9.46/6.95 tff(36449,plain,
% 9.46/6.95 (~until5(s265)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36448, 36445])).
% 9.46/6.95 tff(36450,plain,
% 9.46/6.95 (~xuntil6(s264)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11724, 36449])).
% 9.46/6.95 tff(36451,plain,
% 9.46/6.95 (~always3(s264)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5745, 36446])).
% 9.46/6.95 tff(36452,plain,
% 9.46/6.95 (~node4(s264)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11711, 22, 36451])).
% 9.46/6.95 tff(36453,plain,
% 9.46/6.95 (xuntil6(s264) | (~until5(s264))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11718, 36, 36452])).
% 9.46/6.95 tff(36454,plain,
% 9.46/6.95 (~until5(s264)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36453, 36450])).
% 9.46/6.95 tff(36455,plain,
% 9.46/6.95 (~xuntil6(s263)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11707, 36454])).
% 9.46/6.95 tff(36456,plain,
% 9.46/6.95 (~always3(s263)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5757, 36451])).
% 9.46/6.95 tff(36457,plain,
% 9.46/6.95 (~node4(s263)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11694, 22, 36456])).
% 9.46/6.95 tff(36458,plain,
% 9.46/6.95 (xuntil6(s263) | (~until5(s263))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11701, 36, 36457])).
% 9.46/6.95 tff(36459,plain,
% 9.46/6.95 (~until5(s263)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36458, 36455])).
% 9.46/6.95 tff(36460,plain,
% 9.46/6.95 (~xuntil6(s262)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11690, 36459])).
% 9.46/6.95 tff(36461,plain,
% 9.46/6.95 (~always3(s262)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5769, 36456])).
% 9.46/6.95 tff(36462,plain,
% 9.46/6.95 (~node4(s262)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11677, 22, 36461])).
% 9.46/6.95 tff(36463,plain,
% 9.46/6.95 (xuntil6(s262) | (~until5(s262))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11684, 36, 36462])).
% 9.46/6.95 tff(36464,plain,
% 9.46/6.95 (~until5(s262)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36463, 36460])).
% 9.46/6.95 tff(36465,plain,
% 9.46/6.95 (~xuntil6(s261)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11673, 36464])).
% 9.46/6.95 tff(36466,plain,
% 9.46/6.95 (~always3(s261)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5781, 36461])).
% 9.46/6.95 tff(36467,plain,
% 9.46/6.95 (~node4(s261)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11660, 22, 36466])).
% 9.46/6.95 tff(36468,plain,
% 9.46/6.95 (xuntil6(s261) | (~until5(s261))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11667, 36, 36467])).
% 9.46/6.95 tff(36469,plain,
% 9.46/6.95 (~until5(s261)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36468, 36465])).
% 9.46/6.95 tff(36470,plain,
% 9.46/6.95 (~xuntil6(s260)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11656, 36469])).
% 9.46/6.95 tff(36471,plain,
% 9.46/6.95 (~always3(s260)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5793, 36466])).
% 9.46/6.95 tff(36472,plain,
% 9.46/6.95 (~node4(s260)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11643, 22, 36471])).
% 9.46/6.95 tff(36473,plain,
% 9.46/6.95 (xuntil6(s260) | (~until5(s260))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11650, 36, 36472])).
% 9.46/6.95 tff(36474,plain,
% 9.46/6.95 (~until5(s260)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36473, 36470])).
% 9.46/6.95 tff(36475,plain,
% 9.46/6.95 (~xuntil6(s259)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11639, 36474])).
% 9.46/6.95 tff(36476,plain,
% 9.46/6.95 (~always3(s259)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5805, 36471])).
% 9.46/6.95 tff(36477,plain,
% 9.46/6.95 (~node4(s259)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11626, 22, 36476])).
% 9.46/6.95 tff(36478,plain,
% 9.46/6.95 (xuntil6(s259) | (~until5(s259))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11633, 36, 36477])).
% 9.46/6.95 tff(36479,plain,
% 9.46/6.95 (~until5(s259)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36478, 36475])).
% 9.46/6.95 tff(36480,plain,
% 9.46/6.95 (~xuntil6(s258)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11622, 36479])).
% 9.46/6.95 tff(36481,plain,
% 9.46/6.95 (~always3(s258)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5817, 36476])).
% 9.46/6.95 tff(36482,plain,
% 9.46/6.95 (~node4(s258)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11609, 22, 36481])).
% 9.46/6.95 tff(36483,plain,
% 9.46/6.95 (xuntil6(s258) | (~until5(s258))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11616, 36, 36482])).
% 9.46/6.95 tff(36484,plain,
% 9.46/6.95 (~until5(s258)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36483, 36480])).
% 9.46/6.95 tff(36485,plain,
% 9.46/6.95 (~xuntil6(s257)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11605, 36484])).
% 9.46/6.95 tff(36486,plain,
% 9.46/6.95 (~always3(s257)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5829, 36481])).
% 9.46/6.95 tff(36487,plain,
% 9.46/6.95 (~node4(s257)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11592, 22, 36486])).
% 9.46/6.95 tff(36488,plain,
% 9.46/6.95 (xuntil6(s257) | (~until5(s257))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11599, 36, 36487])).
% 9.46/6.95 tff(36489,plain,
% 9.46/6.95 (~until5(s257)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36488, 36485])).
% 9.46/6.95 tff(36490,plain,
% 9.46/6.95 (~xuntil6(s256)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11588, 36489])).
% 9.46/6.95 tff(36491,plain,
% 9.46/6.95 (~always3(s256)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5841, 36486])).
% 9.46/6.95 tff(36492,plain,
% 9.46/6.95 (~node4(s256)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11575, 22, 36491])).
% 9.46/6.95 tff(36493,plain,
% 9.46/6.95 (xuntil6(s256) | (~until5(s256))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11582, 36, 36492])).
% 9.46/6.95 tff(36494,plain,
% 9.46/6.95 (~until5(s256)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[36493, 36490])).
% 9.46/6.95 tff(36495,plain,
% 9.46/6.95 (~xuntil6(s255)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11571, 36494])).
% 9.46/6.95 tff(36496,plain,
% 9.46/6.95 (~always3(s255)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[5853, 36491])).
% 9.46/6.95 tff(36497,plain,
% 9.46/6.95 (~node4(s255)),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11558, 22, 36496])).
% 9.46/6.95 tff(36498,plain,
% 9.46/6.95 (xuntil6(s255) | (~until5(s255))),
% 9.46/6.95 inference(unit_resolution,[status(thm)],[11565, 36, 36497])).
% 9.46/6.95 tff(36499,plain,
% 9.46/6.96 (~until5(s255)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36498, 36495])).
% 9.46/6.96 tff(36500,plain,
% 9.46/6.96 (~xuntil6(s254)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11554, 36499])).
% 9.46/6.96 tff(36501,plain,
% 9.46/6.96 (~always3(s254)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5865, 36496])).
% 9.46/6.96 tff(36502,plain,
% 9.46/6.96 (~node4(s254)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11541, 22, 36501])).
% 9.46/6.96 tff(36503,plain,
% 9.46/6.96 (xuntil6(s254) | (~until5(s254))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11548, 36, 36502])).
% 9.46/6.96 tff(36504,plain,
% 9.46/6.96 (~until5(s254)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36503, 36500])).
% 9.46/6.96 tff(36505,plain,
% 9.46/6.96 (~xuntil6(s253)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11537, 36504])).
% 9.46/6.96 tff(36506,plain,
% 9.46/6.96 (~until5(s253)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11532, 36505])).
% 9.46/6.96 tff(36507,plain,
% 9.46/6.96 (~xuntil6(s252)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11523, 36506])).
% 9.46/6.96 tff(36508,plain,
% 9.46/6.96 (~always3(s253)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5092, 36501])).
% 9.46/6.96 tff(36509,plain,
% 9.46/6.96 (~always3(s252)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5878, 36508])).
% 9.46/6.96 tff(36510,plain,
% 9.46/6.96 (~node4(s252)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11510, 22, 36509])).
% 9.46/6.96 tff(36511,plain,
% 9.46/6.96 (xuntil6(s252) | (~until5(s252))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11517, 36, 36510])).
% 9.46/6.96 tff(36512,plain,
% 9.46/6.96 (~until5(s252)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36511, 36507])).
% 9.46/6.96 tff(36513,plain,
% 9.46/6.96 (~xuntil6(s251)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11506, 36512])).
% 9.46/6.96 tff(36514,plain,
% 9.46/6.96 (~always3(s251)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5890, 36509])).
% 9.46/6.96 tff(36515,plain,
% 9.46/6.96 (~node4(s251)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11493, 22, 36514])).
% 9.46/6.96 tff(36516,plain,
% 9.46/6.96 (xuntil6(s251) | (~until5(s251))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11500, 36, 36515])).
% 9.46/6.96 tff(36517,plain,
% 9.46/6.96 (~until5(s251)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36516, 36513])).
% 9.46/6.96 tff(36518,plain,
% 9.46/6.96 (~xuntil6(s250)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11489, 36517])).
% 9.46/6.96 tff(36519,plain,
% 9.46/6.96 (~always3(s250)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5902, 36514])).
% 9.46/6.96 tff(36520,plain,
% 9.46/6.96 (~node4(s250)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11476, 22, 36519])).
% 9.46/6.96 tff(36521,plain,
% 9.46/6.96 (xuntil6(s250) | (~until5(s250))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11483, 36, 36520])).
% 9.46/6.96 tff(36522,plain,
% 9.46/6.96 (~until5(s250)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36521, 36518])).
% 9.46/6.96 tff(36523,plain,
% 9.46/6.96 (~xuntil6(s249)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11472, 36522])).
% 9.46/6.96 tff(36524,plain,
% 9.46/6.96 (~always3(s249)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5914, 36519])).
% 9.46/6.96 tff(36525,plain,
% 9.46/6.96 (~node4(s249)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11459, 22, 36524])).
% 9.46/6.96 tff(36526,plain,
% 9.46/6.96 (xuntil6(s249) | (~until5(s249))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11466, 36, 36525])).
% 9.46/6.96 tff(36527,plain,
% 9.46/6.96 (~until5(s249)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36526, 36523])).
% 9.46/6.96 tff(36528,plain,
% 9.46/6.96 (~xuntil6(s248)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11455, 36527])).
% 9.46/6.96 tff(36529,plain,
% 9.46/6.96 (~always3(s248)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5926, 36524])).
% 9.46/6.96 tff(36530,plain,
% 9.46/6.96 (~node4(s248)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11442, 22, 36529])).
% 9.46/6.96 tff(36531,plain,
% 9.46/6.96 (xuntil6(s248) | (~until5(s248))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11449, 36, 36530])).
% 9.46/6.96 tff(36532,plain,
% 9.46/6.96 (~until5(s248)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36531, 36528])).
% 9.46/6.96 tff(36533,plain,
% 9.46/6.96 (~xuntil6(s247)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11438, 36532])).
% 9.46/6.96 tff(36534,plain,
% 9.46/6.96 (~always3(s247)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5938, 36529])).
% 9.46/6.96 tff(36535,plain,
% 9.46/6.96 (~node4(s247)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11425, 22, 36534])).
% 9.46/6.96 tff(36536,plain,
% 9.46/6.96 (xuntil6(s247) | (~until5(s247))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11432, 36, 36535])).
% 9.46/6.96 tff(36537,plain,
% 9.46/6.96 (~until5(s247)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36536, 36533])).
% 9.46/6.96 tff(36538,plain,
% 9.46/6.96 (~xuntil6(s246)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11421, 36537])).
% 9.46/6.96 tff(36539,plain,
% 9.46/6.96 (~always3(s246)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5950, 36534])).
% 9.46/6.96 tff(36540,plain,
% 9.46/6.96 (~node4(s246)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11408, 22, 36539])).
% 9.46/6.96 tff(36541,plain,
% 9.46/6.96 (xuntil6(s246) | (~until5(s246))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11415, 36, 36540])).
% 9.46/6.96 tff(36542,plain,
% 9.46/6.96 (~until5(s246)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36541, 36538])).
% 9.46/6.96 tff(36543,plain,
% 9.46/6.96 (~xuntil6(s245)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11404, 36542])).
% 9.46/6.96 tff(36544,plain,
% 9.46/6.96 (~always3(s245)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5962, 36539])).
% 9.46/6.96 tff(36545,plain,
% 9.46/6.96 (~node4(s245)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11391, 22, 36544])).
% 9.46/6.96 tff(36546,plain,
% 9.46/6.96 (xuntil6(s245) | (~until5(s245))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11398, 36, 36545])).
% 9.46/6.96 tff(36547,plain,
% 9.46/6.96 (~until5(s245)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36546, 36543])).
% 9.46/6.96 tff(36548,plain,
% 9.46/6.96 (~xuntil6(s244)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11387, 36547])).
% 9.46/6.96 tff(36549,plain,
% 9.46/6.96 (~always3(s244)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5974, 36544])).
% 9.46/6.96 tff(36550,plain,
% 9.46/6.96 (~node4(s244)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11374, 22, 36549])).
% 9.46/6.96 tff(36551,plain,
% 9.46/6.96 (xuntil6(s244) | (~until5(s244))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11381, 36, 36550])).
% 9.46/6.96 tff(36552,plain,
% 9.46/6.96 (~until5(s244)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36551, 36548])).
% 9.46/6.96 tff(36553,plain,
% 9.46/6.96 (~xuntil6(s243)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11370, 36552])).
% 9.46/6.96 tff(36554,plain,
% 9.46/6.96 (~always3(s243)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5986, 36549])).
% 9.46/6.96 tff(36555,plain,
% 9.46/6.96 (~node4(s243)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11357, 22, 36554])).
% 9.46/6.96 tff(36556,plain,
% 9.46/6.96 (xuntil6(s243) | (~until5(s243))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11364, 36, 36555])).
% 9.46/6.96 tff(36557,plain,
% 9.46/6.96 (~until5(s243)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36556, 36553])).
% 9.46/6.96 tff(36558,plain,
% 9.46/6.96 (~xuntil6(s242)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11353, 36557])).
% 9.46/6.96 tff(36559,plain,
% 9.46/6.96 (~always3(s242)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5998, 36554])).
% 9.46/6.96 tff(36560,plain,
% 9.46/6.96 (~always3(s241)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6010, 36559])).
% 9.46/6.96 tff(36561,plain,
% 9.46/6.96 (~always3(s240)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6022, 36560])).
% 9.46/6.96 tff(36562,plain,
% 9.46/6.96 (~always3(s239)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6034, 36561])).
% 9.46/6.96 tff(36563,plain,
% 9.46/6.96 (~always3(s238)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6046, 36562])).
% 9.46/6.96 tff(36564,plain,
% 9.46/6.96 (~always3(s237)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6058, 36563])).
% 9.46/6.96 tff(36565,plain,
% 9.46/6.96 (~always3(s236)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6070, 36564])).
% 9.46/6.96 tff(36566,plain,
% 9.46/6.96 (~always3(s235)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6082, 36565])).
% 9.46/6.96 tff(36567,plain,
% 9.46/6.96 (~always3(s234)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6094, 36566])).
% 9.46/6.96 tff(36568,plain,
% 9.46/6.96 (~always3(s233)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6106, 36567])).
% 9.46/6.96 tff(36569,plain,
% 9.46/6.96 (~always3(s232)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6118, 36568])).
% 9.46/6.96 tff(36570,plain,
% 9.46/6.96 (~always3(s231)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6130, 36569])).
% 9.46/6.96 tff(36571,plain,
% 9.46/6.96 (~always3(s230)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6142, 36570])).
% 9.46/6.96 tff(36572,plain,
% 9.46/6.96 (~always3(s229)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6154, 36571])).
% 9.46/6.96 tff(36573,plain,
% 9.46/6.96 (~always3(s228)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6166, 36572])).
% 9.46/6.96 tff(36574,plain,
% 9.46/6.96 (~always3(s227)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6178, 36573])).
% 9.46/6.96 tff(36575,plain,
% 9.46/6.96 (~always3(s226)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6190, 36574])).
% 9.46/6.96 tff(36576,plain,
% 9.46/6.96 (~always3(s225)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6202, 36575])).
% 9.46/6.96 tff(36577,plain,
% 9.46/6.96 (~always3(s224)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6214, 36576])).
% 9.46/6.96 tff(36578,plain,
% 9.46/6.96 (~always3(s223)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6226, 36577])).
% 9.46/6.96 tff(36579,plain,
% 9.46/6.96 (~always3(s222)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6238, 36578])).
% 9.46/6.96 tff(36580,plain,
% 9.46/6.96 (~always3(s221)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6250, 36579])).
% 9.46/6.96 tff(36581,plain,
% 9.46/6.96 (~always3(s220)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6262, 36580])).
% 9.46/6.96 tff(36582,plain,
% 9.46/6.96 (~always3(s219)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6274, 36581])).
% 9.46/6.96 tff(36583,plain,
% 9.46/6.96 (~always3(s218)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6286, 36582])).
% 9.46/6.96 tff(36584,plain,
% 9.46/6.96 (~always3(s217)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6298, 36583])).
% 9.46/6.96 tff(36585,plain,
% 9.46/6.96 (~node4(s217)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6302, 22, 36584])).
% 9.46/6.96 tff(36586,plain,
% 9.46/6.96 (~always3(s216)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6314, 36584])).
% 9.46/6.96 tff(36587,plain,
% 9.46/6.96 (~node4(s216)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6318, 22, 36586])).
% 9.46/6.96 tff(36588,plain,
% 9.46/6.96 (~always3(s215)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6331, 36586])).
% 9.46/6.96 tff(36589,plain,
% 9.46/6.96 (xuntil6(s215)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10898, 36588, 6320])).
% 9.46/6.96 tff(36590,plain,
% 9.46/6.96 (until5(s216)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10903, 36589])).
% 9.46/6.96 tff(36591,plain,
% 9.46/6.96 (xuntil6(s216) | node4(s216)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10910, 36, 36590])).
% 9.46/6.96 tff(36592,plain,
% 9.46/6.96 (xuntil6(s216)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36591, 36587])).
% 9.46/6.96 tff(36593,plain,
% 9.46/6.96 (until5(s217)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10916, 36592])).
% 9.46/6.96 tff(36594,plain,
% 9.46/6.96 (xuntil6(s217)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10923, 36, 36593, 36585])).
% 9.46/6.96 tff(36595,plain,
% 9.46/6.96 (until5(s218)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10928, 36594])).
% 9.46/6.96 tff(36596,plain,
% 9.46/6.96 (~node4(s218)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10932, 22, 36583])).
% 9.46/6.96 tff(36597,plain,
% 9.46/6.96 (xuntil6(s218) | (~until5(s218))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10939, 36, 36596])).
% 9.46/6.96 tff(36598,plain,
% 9.46/6.96 (xuntil6(s218)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36597, 36595])).
% 9.46/6.96 tff(36599,plain,
% 9.46/6.96 (until5(s219)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10945, 36598])).
% 9.46/6.96 tff(36600,plain,
% 9.46/6.96 (~node4(s219)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10949, 22, 36582])).
% 9.46/6.96 tff(36601,plain,
% 9.46/6.96 (xuntil6(s219) | (~until5(s219))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10956, 36, 36600])).
% 9.46/6.96 tff(36602,plain,
% 9.46/6.96 (xuntil6(s219)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36601, 36599])).
% 9.46/6.96 tff(36603,plain,
% 9.46/6.96 (until5(s220)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10962, 36602])).
% 9.46/6.96 tff(36604,plain,
% 9.46/6.96 (~node4(s220)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10966, 22, 36581])).
% 9.46/6.96 tff(36605,plain,
% 9.46/6.96 (xuntil6(s220) | (~until5(s220))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10973, 36, 36604])).
% 9.46/6.96 tff(36606,plain,
% 9.46/6.96 (xuntil6(s220)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36605, 36603])).
% 9.46/6.96 tff(36607,plain,
% 9.46/6.96 (until5(s221)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10979, 36606])).
% 9.46/6.96 tff(36608,plain,
% 9.46/6.96 (~node4(s221)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10983, 22, 36580])).
% 9.46/6.96 tff(36609,plain,
% 9.46/6.96 (xuntil6(s221) | (~until5(s221))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10990, 36, 36608])).
% 9.46/6.96 tff(36610,plain,
% 9.46/6.96 (xuntil6(s221)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36609, 36607])).
% 9.46/6.96 tff(36611,plain,
% 9.46/6.96 (until5(s222)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10996, 36610])).
% 9.46/6.96 tff(36612,plain,
% 9.46/6.96 (~node4(s222)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11000, 22, 36579])).
% 9.46/6.96 tff(36613,plain,
% 9.46/6.96 (xuntil6(s222) | (~until5(s222))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11007, 36, 36612])).
% 9.46/6.96 tff(36614,plain,
% 9.46/6.96 (xuntil6(s222)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36613, 36611])).
% 9.46/6.96 tff(36615,plain,
% 9.46/6.96 (until5(s223)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11013, 36614])).
% 9.46/6.96 tff(36616,plain,
% 9.46/6.96 (~node4(s223)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11017, 22, 36578])).
% 9.46/6.96 tff(36617,plain,
% 9.46/6.96 (xuntil6(s223) | (~until5(s223))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11024, 36, 36616])).
% 9.46/6.96 tff(36618,plain,
% 9.46/6.96 (xuntil6(s223)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36617, 36615])).
% 9.46/6.96 tff(36619,plain,
% 9.46/6.96 (until5(s224)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11030, 36618])).
% 9.46/6.96 tff(36620,plain,
% 9.46/6.96 (~node4(s224)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11034, 22, 36577])).
% 9.46/6.96 tff(36621,plain,
% 9.46/6.96 (xuntil6(s224) | (~until5(s224))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11041, 36, 36620])).
% 9.46/6.96 tff(36622,plain,
% 9.46/6.96 (xuntil6(s224)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36621, 36619])).
% 9.46/6.96 tff(36623,plain,
% 9.46/6.96 (until5(s225)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11047, 36622])).
% 9.46/6.96 tff(36624,plain,
% 9.46/6.96 (~node4(s225)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11051, 22, 36576])).
% 9.46/6.96 tff(36625,plain,
% 9.46/6.96 (xuntil6(s225) | (~until5(s225))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11058, 36, 36624])).
% 9.46/6.96 tff(36626,plain,
% 9.46/6.96 (xuntil6(s225)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36625, 36623])).
% 9.46/6.96 tff(36627,plain,
% 9.46/6.96 (until5(s226)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11064, 36626])).
% 9.46/6.96 tff(36628,plain,
% 9.46/6.96 (~node4(s226)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11068, 22, 36575])).
% 9.46/6.96 tff(36629,plain,
% 9.46/6.96 (xuntil6(s226) | (~until5(s226))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11075, 36, 36628])).
% 9.46/6.96 tff(36630,plain,
% 9.46/6.96 (xuntil6(s226)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36629, 36627])).
% 9.46/6.96 tff(36631,plain,
% 9.46/6.96 (until5(s227)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11081, 36630])).
% 9.46/6.96 tff(36632,plain,
% 9.46/6.96 (~node4(s227)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11085, 22, 36574])).
% 9.46/6.96 tff(36633,plain,
% 9.46/6.96 (xuntil6(s227) | (~until5(s227))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11092, 36, 36632])).
% 9.46/6.96 tff(36634,plain,
% 9.46/6.96 (xuntil6(s227)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36633, 36631])).
% 9.46/6.96 tff(36635,plain,
% 9.46/6.96 (until5(s228)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11098, 36634])).
% 9.46/6.96 tff(36636,plain,
% 9.46/6.96 (~node4(s228)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11102, 22, 36573])).
% 9.46/6.96 tff(36637,plain,
% 9.46/6.96 (xuntil6(s228) | (~until5(s228))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11109, 36, 36636])).
% 9.46/6.96 tff(36638,plain,
% 9.46/6.96 (xuntil6(s228)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36637, 36635])).
% 9.46/6.96 tff(36639,plain,
% 9.46/6.96 (until5(s229)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11115, 36638])).
% 9.46/6.96 tff(36640,plain,
% 9.46/6.96 (~node4(s229)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11119, 22, 36572])).
% 9.46/6.96 tff(36641,plain,
% 9.46/6.96 (xuntil6(s229) | (~until5(s229))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11126, 36, 36640])).
% 9.46/6.96 tff(36642,plain,
% 9.46/6.96 (xuntil6(s229)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36641, 36639])).
% 9.46/6.96 tff(36643,plain,
% 9.46/6.96 (until5(s230)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11132, 36642])).
% 9.46/6.96 tff(36644,plain,
% 9.46/6.96 (~node4(s230)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11136, 22, 36571])).
% 9.46/6.96 tff(36645,plain,
% 9.46/6.96 (xuntil6(s230) | (~until5(s230))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11143, 36, 36644])).
% 9.46/6.96 tff(36646,plain,
% 9.46/6.96 (xuntil6(s230)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36645, 36643])).
% 9.46/6.96 tff(36647,plain,
% 9.46/6.96 (until5(s231)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11149, 36646])).
% 9.46/6.96 tff(36648,plain,
% 9.46/6.96 (~node4(s231)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11153, 22, 36570])).
% 9.46/6.96 tff(36649,plain,
% 9.46/6.96 (xuntil6(s231) | (~until5(s231))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11160, 36, 36648])).
% 9.46/6.96 tff(36650,plain,
% 9.46/6.96 (xuntil6(s231)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36649, 36647])).
% 9.46/6.96 tff(36651,plain,
% 9.46/6.96 (until5(s232)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11166, 36650])).
% 9.46/6.96 tff(36652,plain,
% 9.46/6.96 (~node4(s232)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11170, 22, 36569])).
% 9.46/6.96 tff(36653,plain,
% 9.46/6.96 (xuntil6(s232) | (~until5(s232))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11177, 36, 36652])).
% 9.46/6.96 tff(36654,plain,
% 9.46/6.96 (xuntil6(s232)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36653, 36651])).
% 9.46/6.96 tff(36655,plain,
% 9.46/6.96 (until5(s233)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11183, 36654])).
% 9.46/6.96 tff(36656,plain,
% 9.46/6.96 (~node4(s233)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11187, 22, 36568])).
% 9.46/6.96 tff(36657,plain,
% 9.46/6.96 (xuntil6(s233) | (~until5(s233))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11194, 36, 36656])).
% 9.46/6.96 tff(36658,plain,
% 9.46/6.96 (xuntil6(s233)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36657, 36655])).
% 9.46/6.96 tff(36659,plain,
% 9.46/6.96 (until5(s234)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11200, 36658])).
% 9.46/6.96 tff(36660,plain,
% 9.46/6.96 (~node4(s234)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11204, 22, 36567])).
% 9.46/6.96 tff(36661,plain,
% 9.46/6.96 (xuntil6(s234) | (~until5(s234))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11211, 36, 36660])).
% 9.46/6.96 tff(36662,plain,
% 9.46/6.96 (xuntil6(s234)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36661, 36659])).
% 9.46/6.96 tff(36663,plain,
% 9.46/6.96 (until5(s235)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11217, 36662])).
% 9.46/6.96 tff(36664,plain,
% 9.46/6.96 (~node4(s235)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11221, 22, 36566])).
% 9.46/6.96 tff(36665,plain,
% 9.46/6.96 (xuntil6(s235) | (~until5(s235))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11228, 36, 36664])).
% 9.46/6.96 tff(36666,plain,
% 9.46/6.96 (xuntil6(s235)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36665, 36663])).
% 9.46/6.96 tff(36667,plain,
% 9.46/6.96 (until5(s236)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11234, 36666])).
% 9.46/6.96 tff(36668,plain,
% 9.46/6.96 (~node4(s236)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11238, 22, 36565])).
% 9.46/6.96 tff(36669,plain,
% 9.46/6.96 (xuntil6(s236) | (~until5(s236))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11245, 36, 36668])).
% 9.46/6.96 tff(36670,plain,
% 9.46/6.96 (xuntil6(s236)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36669, 36667])).
% 9.46/6.96 tff(36671,plain,
% 9.46/6.96 (until5(s237)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11251, 36670])).
% 9.46/6.96 tff(36672,plain,
% 9.46/6.96 (~node4(s237)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11255, 22, 36564])).
% 9.46/6.96 tff(36673,plain,
% 9.46/6.96 (xuntil6(s237) | (~until5(s237))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11262, 36, 36672])).
% 9.46/6.96 tff(36674,plain,
% 9.46/6.96 (xuntil6(s237)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36673, 36671])).
% 9.46/6.96 tff(36675,plain,
% 9.46/6.96 (until5(s238)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11268, 36674])).
% 9.46/6.96 tff(36676,plain,
% 9.46/6.96 (~node4(s238)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11272, 22, 36563])).
% 9.46/6.96 tff(36677,plain,
% 9.46/6.96 (xuntil6(s238) | (~until5(s238))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11279, 36, 36676])).
% 9.46/6.96 tff(36678,plain,
% 9.46/6.96 (xuntil6(s238)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36677, 36675])).
% 9.46/6.96 tff(36679,plain,
% 9.46/6.96 (until5(s239)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11285, 36678])).
% 9.46/6.96 tff(36680,plain,
% 9.46/6.96 (~node4(s239)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11289, 22, 36562])).
% 9.46/6.96 tff(36681,plain,
% 9.46/6.96 (xuntil6(s239) | (~until5(s239))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11296, 36, 36680])).
% 9.46/6.96 tff(36682,plain,
% 9.46/6.96 (xuntil6(s239)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36681, 36679])).
% 9.46/6.96 tff(36683,plain,
% 9.46/6.96 (until5(s240)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11302, 36682])).
% 9.46/6.96 tff(36684,plain,
% 9.46/6.96 (~node4(s240)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11306, 22, 36561])).
% 9.46/6.96 tff(36685,plain,
% 9.46/6.96 (xuntil6(s240) | (~until5(s240))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11313, 36, 36684])).
% 9.46/6.96 tff(36686,plain,
% 9.46/6.96 (xuntil6(s240)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36685, 36683])).
% 9.46/6.96 tff(36687,plain,
% 9.46/6.96 (until5(s241)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11319, 36686])).
% 9.46/6.96 tff(36688,plain,
% 9.46/6.96 (~node4(s241)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11323, 22, 36560])).
% 9.46/6.96 tff(36689,plain,
% 9.46/6.96 (xuntil6(s241) | (~until5(s241))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11330, 36, 36688])).
% 9.46/6.96 tff(36690,plain,
% 9.46/6.96 (xuntil6(s241)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36689, 36687])).
% 9.46/6.96 tff(36691,plain,
% 9.46/6.96 (until5(s242)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11336, 36690])).
% 9.46/6.96 tff(36692,plain,
% 9.46/6.96 (~node4(s242)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11340, 22, 36559])).
% 9.46/6.96 tff(36693,plain,
% 9.46/6.96 (xuntil6(s242) | (~until5(s242))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11347, 36, 36692])).
% 9.46/6.96 tff(36694,plain,
% 9.46/6.96 ($false),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36693, 36691, 36558])).
% 9.46/6.96 tff(36695,plain,(always3(s268) | node4(s253) | xuntil6(s268) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.46/6.96 tff(36696,plain,
% 9.46/6.96 (always3(s268)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36695, 36430, 6320, 35006])).
% 9.46/6.96 tff(36697,plain,
% 9.46/6.96 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s268)) | (~m_main_v_state(s268, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s268)) | (~m_main_v_state(s268, c_busy)))),
% 9.46/6.96 inference(rewrite,[status(thm)],[])).
% 9.46/6.96 tff(36698,plain,
% 9.46/6.96 (((~m_main_v_state(s268, c_busy)) | (~always3(s268))) <=> ((~always3(s268)) | (~m_main_v_state(s268, c_busy)))),
% 9.46/6.96 inference(rewrite,[status(thm)],[])).
% 9.46/6.96 tff(36699,plain,
% 9.46/6.96 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s268, c_busy)) | (~always3(s268)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s268)) | (~m_main_v_state(s268, c_busy))))),
% 9.46/6.96 inference(monotonicity,[status(thm)],[36698])).
% 9.46/6.96 tff(36700,plain,
% 9.46/6.96 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s268, c_busy)) | (~always3(s268)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s268)) | (~m_main_v_state(s268, c_busy)))),
% 9.46/6.96 inference(transitivity,[status(thm)],[36699, 36697])).
% 9.46/6.96 tff(36701,plain,
% 9.46/6.96 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s268, c_busy)) | (~always3(s268)))),
% 9.46/6.96 inference(quant_inst,[status(thm)],[])).
% 9.46/6.96 tff(36702,plain,
% 9.46/6.96 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s268)) | (~m_main_v_state(s268, c_busy))),
% 9.46/6.96 inference(modus_ponens,[status(thm)],[36701, 36700])).
% 9.46/6.96 tff(36703,plain,
% 9.46/6.96 (~m_main_v_state(s268, c_busy)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36702, 170, 36696])).
% 9.46/6.96 tff(36704,assumption,(~m_main_v_state(s268, c_busy)), introduced(assumption)).
% 9.46/6.96 tff(36705,assumption,(node4(s267)), introduced(assumption)).
% 9.46/6.96 tff(36706,plain,
% 9.46/6.96 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s267) | (~node4(s267)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s267) | (~node4(s267)))),
% 9.46/6.96 inference(rewrite,[status(thm)],[])).
% 9.46/6.96 tff(36707,plain,
% 9.46/6.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s267) | (~node4(s267)))),
% 9.46/6.96 inference(quant_inst,[status(thm)],[])).
% 9.46/6.96 tff(36708,plain,
% 9.46/6.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s267) | (~node4(s267))),
% 9.46/6.96 inference(modus_ponens,[status(thm)],[36707, 36706])).
% 9.46/6.96 tff(36709,plain,
% 9.46/6.96 (m_main_v_request(s267)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36708, 154, 36705])).
% 9.46/6.96 tff(36710,plain,
% 9.46/6.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s267, s268)) | node2(s267, s268))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s267, s268)) | node2(s267, s268))),
% 9.46/6.96 inference(rewrite,[status(thm)],[])).
% 9.46/6.96 tff(36711,plain,
% 9.46/6.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s267, s268)) | node2(s267, s268))),
% 9.46/6.96 inference(quant_inst,[status(thm)],[])).
% 9.46/6.96 tff(36712,plain,
% 9.46/6.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s267, s268)) | node2(s267, s268)),
% 9.46/6.96 inference(modus_ponens,[status(thm)],[36711, 36710])).
% 9.46/6.96 tff(36713,plain,
% 9.46/6.96 (node2(s267, s268)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36712, 7, 5705])).
% 9.46/6.96 tff(36714,plain,
% 9.46/6.96 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s267, c_ready)) | (~node2(s267, s268)) | m_main_v_state(s268, c_busy) | (~m_main_v_request(s267)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s267, c_ready)) | (~node2(s267, s268)) | m_main_v_state(s268, c_busy) | (~m_main_v_request(s267)))),
% 9.46/6.96 inference(rewrite,[status(thm)],[])).
% 9.46/6.96 tff(36715,plain,
% 9.46/6.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s267, c_ready)) | (~node2(s267, s268)) | m_main_v_state(s268, c_busy) | (~m_main_v_request(s267)))),
% 9.46/6.96 inference(quant_inst,[status(thm)],[])).
% 9.46/6.96 tff(36716,plain,
% 9.46/6.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s267, c_ready)) | (~node2(s267, s268)) | m_main_v_state(s268, c_busy) | (~m_main_v_request(s267))),
% 9.46/6.96 inference(modus_ponens,[status(thm)],[36715, 36714])).
% 9.46/6.96 tff(36717,plain,
% 9.46/6.96 ((~m_main_v_state(s267, c_ready)) | m_main_v_state(s268, c_busy) | (~m_main_v_request(s267))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36716, 191, 36713])).
% 9.46/6.96 tff(36718,plain,
% 9.46/6.96 (~m_main_v_state(s267, c_ready)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36717, 36709, 36704])).
% 9.46/6.96 tff(36719,plain,
% 9.46/6.96 (always3(s267)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11762, 22, 36705])).
% 9.46/6.96 tff(36720,plain,
% 9.46/6.96 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s267)) | (~m_main_v_state(s267, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s267)) | (~m_main_v_state(s267, c_busy)))),
% 9.46/6.96 inference(rewrite,[status(thm)],[])).
% 9.46/6.96 tff(36721,plain,
% 9.46/6.96 (((~m_main_v_state(s267, c_busy)) | (~always3(s267))) <=> ((~always3(s267)) | (~m_main_v_state(s267, c_busy)))),
% 9.46/6.96 inference(rewrite,[status(thm)],[])).
% 9.46/6.96 tff(36722,plain,
% 9.46/6.96 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s267, c_busy)) | (~always3(s267)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s267)) | (~m_main_v_state(s267, c_busy))))),
% 9.46/6.96 inference(monotonicity,[status(thm)],[36721])).
% 9.46/6.96 tff(36723,plain,
% 9.46/6.96 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s267, c_busy)) | (~always3(s267)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s267)) | (~m_main_v_state(s267, c_busy)))),
% 9.46/6.96 inference(transitivity,[status(thm)],[36722, 36720])).
% 9.46/6.96 tff(36724,plain,
% 9.46/6.96 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s267, c_busy)) | (~always3(s267)))),
% 9.46/6.96 inference(quant_inst,[status(thm)],[])).
% 9.46/6.96 tff(36725,plain,
% 9.46/6.96 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s267)) | (~m_main_v_state(s267, c_busy))),
% 9.46/6.96 inference(modus_ponens,[status(thm)],[36724, 36723])).
% 9.46/6.96 tff(36726,plain,
% 9.46/6.96 (~m_main_v_state(s267, c_busy)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36725, 170, 36719])).
% 9.46/6.96 tff(36727,plain,
% 9.46/6.96 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s267, c_busy) | m_main_v_state(s267, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s267, c_busy) | m_main_v_state(s267, c_ready))),
% 9.46/6.96 inference(rewrite,[status(thm)],[])).
% 9.46/6.96 tff(36728,plain,
% 9.46/6.96 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s267, c_busy) | m_main_v_state(s267, c_ready))),
% 9.46/6.96 inference(quant_inst,[status(thm)],[])).
% 9.46/6.96 tff(36729,plain,
% 9.46/6.96 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s267, c_busy) | m_main_v_state(s267, c_ready)),
% 9.46/6.96 inference(modus_ponens,[status(thm)],[36728, 36727])).
% 9.46/6.96 tff(36730,plain,
% 9.46/6.96 ($false),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36729, 213, 36726, 36718])).
% 9.46/6.96 tff(36731,plain,((~node4(s267)) | m_main_v_state(s268, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.46/6.96 tff(36732,plain,
% 9.46/6.96 (~node4(s267)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36731, 36703])).
% 9.46/6.96 tff(36733,plain,
% 9.46/6.96 (always3(s269)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5697, 36696])).
% 9.46/6.96 tff(36734,plain,
% 9.46/6.96 (~m_main_v_state(s269, c_busy)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36399, 170, 36733])).
% 9.46/6.96 tff(36735,plain,
% 9.46/6.96 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s268, c_busy) | m_main_v_state(s268, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s268, c_busy) | m_main_v_state(s268, c_ready))),
% 9.46/6.96 inference(rewrite,[status(thm)],[])).
% 9.46/6.96 tff(36736,plain,
% 9.46/6.96 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s268, c_busy) | m_main_v_state(s268, c_ready))),
% 9.46/6.96 inference(quant_inst,[status(thm)],[])).
% 9.46/6.96 tff(36737,plain,
% 9.46/6.96 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s268, c_busy) | m_main_v_state(s268, c_ready)),
% 9.46/6.96 inference(modus_ponens,[status(thm)],[36736, 36735])).
% 9.46/6.96 tff(36738,plain,
% 9.46/6.96 (m_main_v_state(s268, c_ready)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36737, 213, 36703])).
% 9.46/6.96 tff(36739,plain,
% 9.46/6.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s268, s269)) | node2(s268, s269))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s268, s269)) | node2(s268, s269))),
% 9.46/6.96 inference(rewrite,[status(thm)],[])).
% 9.46/6.96 tff(36740,plain,
% 9.46/6.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s268, s269)) | node2(s268, s269))),
% 9.46/6.96 inference(quant_inst,[status(thm)],[])).
% 9.46/6.96 tff(36741,plain,
% 9.46/6.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s268, s269)) | node2(s268, s269)),
% 9.46/6.96 inference(modus_ponens,[status(thm)],[36740, 36739])).
% 9.46/6.96 tff(36742,plain,
% 9.46/6.96 (node2(s268, s269)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36741, 7, 5693])).
% 9.46/6.96 tff(36743,plain,
% 9.46/6.96 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s268, c_ready)) | (~node2(s268, s269)) | m_main_v_state(s269, c_busy) | (~m_main_v_request(s268)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s268, c_ready)) | (~node2(s268, s269)) | m_main_v_state(s269, c_busy) | (~m_main_v_request(s268)))),
% 9.46/6.96 inference(rewrite,[status(thm)],[])).
% 9.46/6.96 tff(36744,plain,
% 9.46/6.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s268, c_ready)) | (~node2(s268, s269)) | m_main_v_state(s269, c_busy) | (~m_main_v_request(s268)))),
% 9.46/6.96 inference(quant_inst,[status(thm)],[])).
% 9.46/6.96 tff(36745,plain,
% 9.46/6.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s268, c_ready)) | (~node2(s268, s269)) | m_main_v_state(s269, c_busy) | (~m_main_v_request(s268))),
% 9.46/6.96 inference(modus_ponens,[status(thm)],[36744, 36743])).
% 9.46/6.96 tff(36746,plain,
% 9.46/6.96 ((~m_main_v_state(s268, c_ready)) | m_main_v_state(s269, c_busy) | (~m_main_v_request(s268))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36745, 191, 36742])).
% 9.46/6.96 tff(36747,plain,
% 9.46/6.96 (~m_main_v_request(s268)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36746, 36738, 36734])).
% 9.46/6.96 tff(36748,plain,
% 9.46/6.96 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s268) | (~node4(s268)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s268) | (~node4(s268)))),
% 9.46/6.96 inference(rewrite,[status(thm)],[])).
% 9.46/6.96 tff(36749,plain,
% 9.46/6.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s268) | (~node4(s268)))),
% 9.46/6.96 inference(quant_inst,[status(thm)],[])).
% 9.46/6.96 tff(36750,plain,
% 9.46/6.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s268) | (~node4(s268))),
% 9.46/6.96 inference(modus_ponens,[status(thm)],[36749, 36748])).
% 9.46/6.96 tff(36751,plain,
% 9.46/6.96 (~node4(s268)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36750, 154, 36747])).
% 9.46/6.96 tff(36752,plain,
% 9.46/6.96 (node4(s268) | (~until5(s268))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11786, 36, 36430])).
% 9.46/6.96 tff(36753,plain,
% 9.46/6.96 (~until5(s268)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36752, 36751])).
% 9.46/6.96 tff(36754,plain,
% 9.46/6.96 (~xuntil6(s267)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11775, 36753])).
% 9.46/6.96 tff(36755,plain,
% 9.46/6.96 (~until5(s267)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11769, 36, 36754, 36732])).
% 9.46/6.96 tff(36756,plain,
% 9.46/6.96 (~xuntil6(s266)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11758, 36755])).
% 9.46/6.96 tff(36757,assumption,(~always3(s266)), introduced(assumption)).
% 9.46/6.96 tff(36758,plain,
% 9.46/6.96 (~always3(s265)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5733, 36757])).
% 9.46/6.96 tff(36759,plain,
% 9.46/6.96 (~node4(s265)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11728, 22, 36758])).
% 9.46/6.96 tff(36760,plain,
% 9.46/6.96 (~node4(s266)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11745, 22, 36757])).
% 9.46/6.96 tff(36761,assumption,(~xuntil6(s266)), introduced(assumption)).
% 9.46/6.96 tff(36762,plain,
% 9.46/6.96 (node4(s266) | (~until5(s266))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11752, 36, 36761])).
% 9.46/6.96 tff(36763,plain,
% 9.46/6.96 (~until5(s266)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36762, 36760])).
% 9.46/6.96 tff(36764,plain,
% 9.46/6.96 (~xuntil6(s265)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11741, 36763])).
% 9.46/6.96 tff(36765,plain,
% 9.46/6.96 (~until5(s265)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11735, 36, 36764, 36759])).
% 9.46/6.96 tff(36766,plain,
% 9.46/6.96 (~xuntil6(s264)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11724, 36765])).
% 9.46/6.96 tff(36767,plain,
% 9.46/6.96 (~always3(s264)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5745, 36758])).
% 9.46/6.96 tff(36768,plain,
% 9.46/6.96 (~node4(s264)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11711, 22, 36767])).
% 9.46/6.96 tff(36769,plain,
% 9.46/6.96 (xuntil6(s264) | (~until5(s264))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11718, 36, 36768])).
% 9.46/6.96 tff(36770,plain,
% 9.46/6.96 (~until5(s264)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36769, 36766])).
% 9.46/6.96 tff(36771,plain,
% 9.46/6.96 (~xuntil6(s263)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11707, 36770])).
% 9.46/6.96 tff(36772,plain,
% 9.46/6.96 (~always3(s263)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5757, 36767])).
% 9.46/6.96 tff(36773,plain,
% 9.46/6.96 (~node4(s263)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11694, 22, 36772])).
% 9.46/6.96 tff(36774,plain,
% 9.46/6.96 (xuntil6(s263) | (~until5(s263))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11701, 36, 36773])).
% 9.46/6.96 tff(36775,plain,
% 9.46/6.96 (~until5(s263)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36774, 36771])).
% 9.46/6.96 tff(36776,plain,
% 9.46/6.96 (~xuntil6(s262)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11690, 36775])).
% 9.46/6.96 tff(36777,plain,
% 9.46/6.96 (~always3(s262)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5769, 36772])).
% 9.46/6.96 tff(36778,plain,
% 9.46/6.96 (~node4(s262)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11677, 22, 36777])).
% 9.46/6.96 tff(36779,plain,
% 9.46/6.96 (xuntil6(s262) | (~until5(s262))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11684, 36, 36778])).
% 9.46/6.96 tff(36780,plain,
% 9.46/6.96 (~until5(s262)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36779, 36776])).
% 9.46/6.96 tff(36781,plain,
% 9.46/6.96 (~xuntil6(s261)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11673, 36780])).
% 9.46/6.96 tff(36782,plain,
% 9.46/6.96 (~always3(s261)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5781, 36777])).
% 9.46/6.96 tff(36783,plain,
% 9.46/6.96 (~node4(s261)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11660, 22, 36782])).
% 9.46/6.96 tff(36784,plain,
% 9.46/6.96 (xuntil6(s261) | (~until5(s261))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11667, 36, 36783])).
% 9.46/6.96 tff(36785,plain,
% 9.46/6.96 (~until5(s261)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36784, 36781])).
% 9.46/6.96 tff(36786,plain,
% 9.46/6.96 (~xuntil6(s260)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11656, 36785])).
% 9.46/6.96 tff(36787,plain,
% 9.46/6.96 (~always3(s260)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5793, 36782])).
% 9.46/6.96 tff(36788,plain,
% 9.46/6.96 (~node4(s260)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11643, 22, 36787])).
% 9.46/6.96 tff(36789,plain,
% 9.46/6.96 (xuntil6(s260) | (~until5(s260))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11650, 36, 36788])).
% 9.46/6.96 tff(36790,plain,
% 9.46/6.96 (~until5(s260)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36789, 36786])).
% 9.46/6.96 tff(36791,plain,
% 9.46/6.96 (~xuntil6(s259)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11639, 36790])).
% 9.46/6.96 tff(36792,plain,
% 9.46/6.96 (~always3(s259)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5805, 36787])).
% 9.46/6.96 tff(36793,plain,
% 9.46/6.96 (~node4(s259)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11626, 22, 36792])).
% 9.46/6.96 tff(36794,plain,
% 9.46/6.96 (xuntil6(s259) | (~until5(s259))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11633, 36, 36793])).
% 9.46/6.96 tff(36795,plain,
% 9.46/6.96 (~until5(s259)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36794, 36791])).
% 9.46/6.96 tff(36796,plain,
% 9.46/6.96 (~xuntil6(s258)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11622, 36795])).
% 9.46/6.96 tff(36797,plain,
% 9.46/6.96 (~always3(s258)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5817, 36792])).
% 9.46/6.96 tff(36798,plain,
% 9.46/6.96 (~node4(s258)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11609, 22, 36797])).
% 9.46/6.96 tff(36799,plain,
% 9.46/6.96 (xuntil6(s258) | (~until5(s258))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11616, 36, 36798])).
% 9.46/6.96 tff(36800,plain,
% 9.46/6.96 (~until5(s258)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36799, 36796])).
% 9.46/6.96 tff(36801,plain,
% 9.46/6.96 (~xuntil6(s257)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11605, 36800])).
% 9.46/6.96 tff(36802,plain,
% 9.46/6.96 (~always3(s257)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5829, 36797])).
% 9.46/6.96 tff(36803,plain,
% 9.46/6.96 (~node4(s257)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11592, 22, 36802])).
% 9.46/6.96 tff(36804,plain,
% 9.46/6.96 (xuntil6(s257) | (~until5(s257))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11599, 36, 36803])).
% 9.46/6.96 tff(36805,plain,
% 9.46/6.96 (~until5(s257)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36804, 36801])).
% 9.46/6.96 tff(36806,plain,
% 9.46/6.96 (~xuntil6(s256)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11588, 36805])).
% 9.46/6.96 tff(36807,plain,
% 9.46/6.96 (~always3(s256)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5841, 36802])).
% 9.46/6.96 tff(36808,plain,
% 9.46/6.96 (~node4(s256)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11575, 22, 36807])).
% 9.46/6.96 tff(36809,plain,
% 9.46/6.96 (xuntil6(s256) | (~until5(s256))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11582, 36, 36808])).
% 9.46/6.96 tff(36810,plain,
% 9.46/6.96 (~until5(s256)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36809, 36806])).
% 9.46/6.96 tff(36811,plain,
% 9.46/6.96 (~xuntil6(s255)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11571, 36810])).
% 9.46/6.96 tff(36812,plain,
% 9.46/6.96 (~always3(s255)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5853, 36807])).
% 9.46/6.96 tff(36813,plain,
% 9.46/6.96 (~node4(s255)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11558, 22, 36812])).
% 9.46/6.96 tff(36814,plain,
% 9.46/6.96 (xuntil6(s255) | (~until5(s255))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11565, 36, 36813])).
% 9.46/6.96 tff(36815,plain,
% 9.46/6.96 (~until5(s255)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36814, 36811])).
% 9.46/6.96 tff(36816,plain,
% 9.46/6.96 (~xuntil6(s254)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11554, 36815])).
% 9.46/6.96 tff(36817,plain,
% 9.46/6.96 (~always3(s254)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5865, 36812])).
% 9.46/6.96 tff(36818,plain,
% 9.46/6.96 (~node4(s254)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11541, 22, 36817])).
% 9.46/6.96 tff(36819,plain,
% 9.46/6.96 (xuntil6(s254) | (~until5(s254))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11548, 36, 36818])).
% 9.46/6.96 tff(36820,plain,
% 9.46/6.96 (~until5(s254)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36819, 36816])).
% 9.46/6.96 tff(36821,plain,
% 9.46/6.96 (~xuntil6(s253)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11537, 36820])).
% 9.46/6.96 tff(36822,plain,
% 9.46/6.96 (~until5(s253)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11532, 36821])).
% 9.46/6.96 tff(36823,plain,
% 9.46/6.96 (~xuntil6(s252)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11523, 36822])).
% 9.46/6.96 tff(36824,plain,
% 9.46/6.96 (~always3(s253)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5092, 36817])).
% 9.46/6.96 tff(36825,plain,
% 9.46/6.96 (~always3(s252)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5878, 36824])).
% 9.46/6.96 tff(36826,plain,
% 9.46/6.96 (~node4(s252)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11510, 22, 36825])).
% 9.46/6.96 tff(36827,plain,
% 9.46/6.96 (xuntil6(s252) | (~until5(s252))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11517, 36, 36826])).
% 9.46/6.96 tff(36828,plain,
% 9.46/6.96 (~until5(s252)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36827, 36823])).
% 9.46/6.96 tff(36829,plain,
% 9.46/6.96 (~xuntil6(s251)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11506, 36828])).
% 9.46/6.96 tff(36830,plain,
% 9.46/6.96 (~always3(s251)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5890, 36825])).
% 9.46/6.96 tff(36831,plain,
% 9.46/6.96 (~node4(s251)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11493, 22, 36830])).
% 9.46/6.96 tff(36832,plain,
% 9.46/6.96 (xuntil6(s251) | (~until5(s251))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11500, 36, 36831])).
% 9.46/6.96 tff(36833,plain,
% 9.46/6.96 (~until5(s251)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36832, 36829])).
% 9.46/6.96 tff(36834,plain,
% 9.46/6.96 (~xuntil6(s250)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11489, 36833])).
% 9.46/6.96 tff(36835,plain,
% 9.46/6.96 (~always3(s250)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5902, 36830])).
% 9.46/6.96 tff(36836,plain,
% 9.46/6.96 (~node4(s250)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11476, 22, 36835])).
% 9.46/6.96 tff(36837,plain,
% 9.46/6.96 (xuntil6(s250) | (~until5(s250))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11483, 36, 36836])).
% 9.46/6.96 tff(36838,plain,
% 9.46/6.96 (~until5(s250)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36837, 36834])).
% 9.46/6.96 tff(36839,plain,
% 9.46/6.96 (~xuntil6(s249)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11472, 36838])).
% 9.46/6.96 tff(36840,plain,
% 9.46/6.96 (~always3(s249)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5914, 36835])).
% 9.46/6.96 tff(36841,plain,
% 9.46/6.96 (~node4(s249)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11459, 22, 36840])).
% 9.46/6.96 tff(36842,plain,
% 9.46/6.96 (xuntil6(s249) | (~until5(s249))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11466, 36, 36841])).
% 9.46/6.96 tff(36843,plain,
% 9.46/6.96 (~until5(s249)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36842, 36839])).
% 9.46/6.96 tff(36844,plain,
% 9.46/6.96 (~xuntil6(s248)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11455, 36843])).
% 9.46/6.96 tff(36845,plain,
% 9.46/6.96 (~always3(s248)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5926, 36840])).
% 9.46/6.96 tff(36846,plain,
% 9.46/6.96 (~node4(s248)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11442, 22, 36845])).
% 9.46/6.96 tff(36847,plain,
% 9.46/6.96 (xuntil6(s248) | (~until5(s248))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11449, 36, 36846])).
% 9.46/6.96 tff(36848,plain,
% 9.46/6.96 (~until5(s248)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36847, 36844])).
% 9.46/6.96 tff(36849,plain,
% 9.46/6.96 (~xuntil6(s247)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11438, 36848])).
% 9.46/6.96 tff(36850,plain,
% 9.46/6.96 (~always3(s247)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5938, 36845])).
% 9.46/6.96 tff(36851,plain,
% 9.46/6.96 (~node4(s247)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11425, 22, 36850])).
% 9.46/6.96 tff(36852,plain,
% 9.46/6.96 (xuntil6(s247) | (~until5(s247))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11432, 36, 36851])).
% 9.46/6.96 tff(36853,plain,
% 9.46/6.96 (~until5(s247)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36852, 36849])).
% 9.46/6.96 tff(36854,plain,
% 9.46/6.96 (~xuntil6(s246)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11421, 36853])).
% 9.46/6.96 tff(36855,plain,
% 9.46/6.96 (~always3(s246)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5950, 36850])).
% 9.46/6.96 tff(36856,plain,
% 9.46/6.96 (~node4(s246)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11408, 22, 36855])).
% 9.46/6.96 tff(36857,plain,
% 9.46/6.96 (xuntil6(s246) | (~until5(s246))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11415, 36, 36856])).
% 9.46/6.96 tff(36858,plain,
% 9.46/6.96 (~until5(s246)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36857, 36854])).
% 9.46/6.96 tff(36859,plain,
% 9.46/6.96 (~xuntil6(s245)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11404, 36858])).
% 9.46/6.96 tff(36860,plain,
% 9.46/6.96 (~always3(s245)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5962, 36855])).
% 9.46/6.96 tff(36861,plain,
% 9.46/6.96 (~node4(s245)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11391, 22, 36860])).
% 9.46/6.96 tff(36862,plain,
% 9.46/6.96 (xuntil6(s245) | (~until5(s245))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11398, 36, 36861])).
% 9.46/6.96 tff(36863,plain,
% 9.46/6.96 (~until5(s245)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36862, 36859])).
% 9.46/6.96 tff(36864,plain,
% 9.46/6.96 (~xuntil6(s244)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11387, 36863])).
% 9.46/6.96 tff(36865,plain,
% 9.46/6.96 (~always3(s244)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5974, 36860])).
% 9.46/6.96 tff(36866,plain,
% 9.46/6.96 (~node4(s244)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11374, 22, 36865])).
% 9.46/6.96 tff(36867,plain,
% 9.46/6.96 (xuntil6(s244) | (~until5(s244))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11381, 36, 36866])).
% 9.46/6.96 tff(36868,plain,
% 9.46/6.96 (~until5(s244)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36867, 36864])).
% 9.46/6.96 tff(36869,plain,
% 9.46/6.96 (~xuntil6(s243)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11370, 36868])).
% 9.46/6.96 tff(36870,plain,
% 9.46/6.96 (~always3(s243)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5986, 36865])).
% 9.46/6.96 tff(36871,plain,
% 9.46/6.96 (~node4(s243)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11357, 22, 36870])).
% 9.46/6.96 tff(36872,plain,
% 9.46/6.96 (xuntil6(s243) | (~until5(s243))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11364, 36, 36871])).
% 9.46/6.96 tff(36873,plain,
% 9.46/6.96 (~until5(s243)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36872, 36869])).
% 9.46/6.96 tff(36874,plain,
% 9.46/6.96 (~xuntil6(s242)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11353, 36873])).
% 9.46/6.96 tff(36875,plain,
% 9.46/6.96 (~always3(s242)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[5998, 36870])).
% 9.46/6.96 tff(36876,plain,
% 9.46/6.96 (~node4(s242)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11340, 22, 36875])).
% 9.46/6.96 tff(36877,plain,
% 9.46/6.96 (xuntil6(s242) | (~until5(s242))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11347, 36, 36876])).
% 9.46/6.96 tff(36878,plain,
% 9.46/6.96 (~until5(s242)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36877, 36874])).
% 9.46/6.96 tff(36879,plain,
% 9.46/6.96 (~xuntil6(s241)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11336, 36878])).
% 9.46/6.96 tff(36880,plain,
% 9.46/6.96 (~always3(s241)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6010, 36875])).
% 9.46/6.96 tff(36881,plain,
% 9.46/6.96 (~always3(s240)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6022, 36880])).
% 9.46/6.96 tff(36882,plain,
% 9.46/6.96 (~always3(s239)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6034, 36881])).
% 9.46/6.96 tff(36883,plain,
% 9.46/6.96 (~always3(s238)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6046, 36882])).
% 9.46/6.96 tff(36884,plain,
% 9.46/6.96 (~always3(s237)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6058, 36883])).
% 9.46/6.96 tff(36885,plain,
% 9.46/6.96 (~always3(s236)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6070, 36884])).
% 9.46/6.96 tff(36886,plain,
% 9.46/6.96 (~always3(s235)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6082, 36885])).
% 9.46/6.96 tff(36887,plain,
% 9.46/6.96 (~always3(s234)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6094, 36886])).
% 9.46/6.96 tff(36888,plain,
% 9.46/6.96 (~always3(s233)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6106, 36887])).
% 9.46/6.96 tff(36889,plain,
% 9.46/6.96 (~always3(s232)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6118, 36888])).
% 9.46/6.96 tff(36890,plain,
% 9.46/6.96 (~always3(s231)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6130, 36889])).
% 9.46/6.96 tff(36891,plain,
% 9.46/6.96 (~always3(s230)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6142, 36890])).
% 9.46/6.96 tff(36892,plain,
% 9.46/6.96 (~always3(s229)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6154, 36891])).
% 9.46/6.96 tff(36893,plain,
% 9.46/6.96 (~always3(s228)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6166, 36892])).
% 9.46/6.96 tff(36894,plain,
% 9.46/6.96 (~always3(s227)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6178, 36893])).
% 9.46/6.96 tff(36895,plain,
% 9.46/6.96 (~always3(s226)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6190, 36894])).
% 9.46/6.96 tff(36896,plain,
% 9.46/6.96 (~always3(s225)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6202, 36895])).
% 9.46/6.96 tff(36897,plain,
% 9.46/6.96 (~always3(s224)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6214, 36896])).
% 9.46/6.96 tff(36898,plain,
% 9.46/6.96 (~always3(s223)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6226, 36897])).
% 9.46/6.96 tff(36899,plain,
% 9.46/6.96 (~always3(s222)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6238, 36898])).
% 9.46/6.96 tff(36900,plain,
% 9.46/6.96 (~always3(s221)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6250, 36899])).
% 9.46/6.96 tff(36901,plain,
% 9.46/6.96 (~always3(s220)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6262, 36900])).
% 9.46/6.96 tff(36902,plain,
% 9.46/6.96 (~always3(s219)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6274, 36901])).
% 9.46/6.96 tff(36903,plain,
% 9.46/6.96 (~always3(s218)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6286, 36902])).
% 9.46/6.96 tff(36904,plain,
% 9.46/6.96 (~always3(s217)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6298, 36903])).
% 9.46/6.96 tff(36905,plain,
% 9.46/6.96 (~node4(s217)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6302, 22, 36904])).
% 9.46/6.96 tff(36906,plain,
% 9.46/6.96 (~always3(s216)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6314, 36904])).
% 9.46/6.96 tff(36907,plain,
% 9.46/6.96 (~node4(s216)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6318, 22, 36906])).
% 9.46/6.96 tff(36908,plain,
% 9.46/6.96 (~always3(s215)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[6331, 36906])).
% 9.46/6.96 tff(36909,plain,
% 9.46/6.96 (xuntil6(s215)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10898, 36908, 6320])).
% 9.46/6.96 tff(36910,plain,
% 9.46/6.96 (until5(s216)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10903, 36909])).
% 9.46/6.96 tff(36911,plain,
% 9.46/6.96 (xuntil6(s216) | node4(s216)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10910, 36, 36910])).
% 9.46/6.96 tff(36912,plain,
% 9.46/6.96 (xuntil6(s216)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36911, 36907])).
% 9.46/6.96 tff(36913,plain,
% 9.46/6.96 (until5(s217)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10916, 36912])).
% 9.46/6.96 tff(36914,plain,
% 9.46/6.96 (xuntil6(s217)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10923, 36, 36913, 36905])).
% 9.46/6.96 tff(36915,plain,
% 9.46/6.96 (until5(s218)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10928, 36914])).
% 9.46/6.96 tff(36916,plain,
% 9.46/6.96 (~node4(s218)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10932, 22, 36903])).
% 9.46/6.96 tff(36917,plain,
% 9.46/6.96 (xuntil6(s218) | (~until5(s218))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10939, 36, 36916])).
% 9.46/6.96 tff(36918,plain,
% 9.46/6.96 (xuntil6(s218)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36917, 36915])).
% 9.46/6.96 tff(36919,plain,
% 9.46/6.96 (until5(s219)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10945, 36918])).
% 9.46/6.96 tff(36920,plain,
% 9.46/6.96 (~node4(s219)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10949, 22, 36902])).
% 9.46/6.96 tff(36921,plain,
% 9.46/6.96 (xuntil6(s219) | (~until5(s219))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10956, 36, 36920])).
% 9.46/6.96 tff(36922,plain,
% 9.46/6.96 (xuntil6(s219)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36921, 36919])).
% 9.46/6.96 tff(36923,plain,
% 9.46/6.96 (until5(s220)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10962, 36922])).
% 9.46/6.96 tff(36924,plain,
% 9.46/6.96 (~node4(s220)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10966, 22, 36901])).
% 9.46/6.96 tff(36925,plain,
% 9.46/6.96 (xuntil6(s220) | (~until5(s220))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10973, 36, 36924])).
% 9.46/6.96 tff(36926,plain,
% 9.46/6.96 (xuntil6(s220)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36925, 36923])).
% 9.46/6.96 tff(36927,plain,
% 9.46/6.96 (until5(s221)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10979, 36926])).
% 9.46/6.96 tff(36928,plain,
% 9.46/6.96 (~node4(s221)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10983, 22, 36900])).
% 9.46/6.96 tff(36929,plain,
% 9.46/6.96 (xuntil6(s221) | (~until5(s221))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10990, 36, 36928])).
% 9.46/6.96 tff(36930,plain,
% 9.46/6.96 (xuntil6(s221)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36929, 36927])).
% 9.46/6.96 tff(36931,plain,
% 9.46/6.96 (until5(s222)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[10996, 36930])).
% 9.46/6.96 tff(36932,plain,
% 9.46/6.96 (~node4(s222)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11000, 22, 36899])).
% 9.46/6.96 tff(36933,plain,
% 9.46/6.96 (xuntil6(s222) | (~until5(s222))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11007, 36, 36932])).
% 9.46/6.96 tff(36934,plain,
% 9.46/6.96 (xuntil6(s222)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36933, 36931])).
% 9.46/6.96 tff(36935,plain,
% 9.46/6.96 (until5(s223)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11013, 36934])).
% 9.46/6.96 tff(36936,plain,
% 9.46/6.96 (~node4(s223)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11017, 22, 36898])).
% 9.46/6.96 tff(36937,plain,
% 9.46/6.96 (xuntil6(s223) | (~until5(s223))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11024, 36, 36936])).
% 9.46/6.96 tff(36938,plain,
% 9.46/6.96 (xuntil6(s223)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36937, 36935])).
% 9.46/6.96 tff(36939,plain,
% 9.46/6.96 (until5(s224)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11030, 36938])).
% 9.46/6.96 tff(36940,plain,
% 9.46/6.96 (~node4(s224)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11034, 22, 36897])).
% 9.46/6.96 tff(36941,plain,
% 9.46/6.96 (xuntil6(s224) | (~until5(s224))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11041, 36, 36940])).
% 9.46/6.96 tff(36942,plain,
% 9.46/6.96 (xuntil6(s224)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36941, 36939])).
% 9.46/6.96 tff(36943,plain,
% 9.46/6.96 (until5(s225)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11047, 36942])).
% 9.46/6.96 tff(36944,plain,
% 9.46/6.96 (~node4(s225)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11051, 22, 36896])).
% 9.46/6.96 tff(36945,plain,
% 9.46/6.96 (xuntil6(s225) | (~until5(s225))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11058, 36, 36944])).
% 9.46/6.96 tff(36946,plain,
% 9.46/6.96 (xuntil6(s225)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36945, 36943])).
% 9.46/6.96 tff(36947,plain,
% 9.46/6.96 (until5(s226)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11064, 36946])).
% 9.46/6.96 tff(36948,plain,
% 9.46/6.96 (~node4(s226)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11068, 22, 36895])).
% 9.46/6.96 tff(36949,plain,
% 9.46/6.96 (xuntil6(s226) | (~until5(s226))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11075, 36, 36948])).
% 9.46/6.96 tff(36950,plain,
% 9.46/6.96 (xuntil6(s226)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36949, 36947])).
% 9.46/6.96 tff(36951,plain,
% 9.46/6.96 (until5(s227)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11081, 36950])).
% 9.46/6.96 tff(36952,plain,
% 9.46/6.96 (~node4(s227)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11085, 22, 36894])).
% 9.46/6.96 tff(36953,plain,
% 9.46/6.96 (xuntil6(s227) | (~until5(s227))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11092, 36, 36952])).
% 9.46/6.96 tff(36954,plain,
% 9.46/6.96 (xuntil6(s227)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36953, 36951])).
% 9.46/6.96 tff(36955,plain,
% 9.46/6.96 (until5(s228)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11098, 36954])).
% 9.46/6.96 tff(36956,plain,
% 9.46/6.96 (~node4(s228)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11102, 22, 36893])).
% 9.46/6.96 tff(36957,plain,
% 9.46/6.96 (xuntil6(s228) | (~until5(s228))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11109, 36, 36956])).
% 9.46/6.96 tff(36958,plain,
% 9.46/6.96 (xuntil6(s228)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36957, 36955])).
% 9.46/6.96 tff(36959,plain,
% 9.46/6.96 (until5(s229)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11115, 36958])).
% 9.46/6.96 tff(36960,plain,
% 9.46/6.96 (~node4(s229)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11119, 22, 36892])).
% 9.46/6.96 tff(36961,plain,
% 9.46/6.96 (xuntil6(s229) | (~until5(s229))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11126, 36, 36960])).
% 9.46/6.96 tff(36962,plain,
% 9.46/6.96 (xuntil6(s229)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36961, 36959])).
% 9.46/6.96 tff(36963,plain,
% 9.46/6.96 (until5(s230)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11132, 36962])).
% 9.46/6.96 tff(36964,plain,
% 9.46/6.96 (~node4(s230)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11136, 22, 36891])).
% 9.46/6.96 tff(36965,plain,
% 9.46/6.96 (xuntil6(s230) | (~until5(s230))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11143, 36, 36964])).
% 9.46/6.96 tff(36966,plain,
% 9.46/6.96 (xuntil6(s230)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36965, 36963])).
% 9.46/6.96 tff(36967,plain,
% 9.46/6.96 (until5(s231)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11149, 36966])).
% 9.46/6.96 tff(36968,plain,
% 9.46/6.96 (~node4(s231)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11153, 22, 36890])).
% 9.46/6.96 tff(36969,plain,
% 9.46/6.96 (xuntil6(s231) | (~until5(s231))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11160, 36, 36968])).
% 9.46/6.96 tff(36970,plain,
% 9.46/6.96 (xuntil6(s231)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36969, 36967])).
% 9.46/6.96 tff(36971,plain,
% 9.46/6.96 (until5(s232)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11166, 36970])).
% 9.46/6.96 tff(36972,plain,
% 9.46/6.96 (~node4(s232)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11170, 22, 36889])).
% 9.46/6.96 tff(36973,plain,
% 9.46/6.96 (xuntil6(s232) | (~until5(s232))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11177, 36, 36972])).
% 9.46/6.96 tff(36974,plain,
% 9.46/6.96 (xuntil6(s232)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36973, 36971])).
% 9.46/6.96 tff(36975,plain,
% 9.46/6.96 (until5(s233)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11183, 36974])).
% 9.46/6.96 tff(36976,plain,
% 9.46/6.96 (~node4(s233)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11187, 22, 36888])).
% 9.46/6.96 tff(36977,plain,
% 9.46/6.96 (xuntil6(s233) | (~until5(s233))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11194, 36, 36976])).
% 9.46/6.96 tff(36978,plain,
% 9.46/6.96 (xuntil6(s233)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36977, 36975])).
% 9.46/6.96 tff(36979,plain,
% 9.46/6.96 (until5(s234)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11200, 36978])).
% 9.46/6.96 tff(36980,plain,
% 9.46/6.96 (~node4(s234)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11204, 22, 36887])).
% 9.46/6.96 tff(36981,plain,
% 9.46/6.96 (xuntil6(s234) | (~until5(s234))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11211, 36, 36980])).
% 9.46/6.96 tff(36982,plain,
% 9.46/6.96 (xuntil6(s234)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36981, 36979])).
% 9.46/6.96 tff(36983,plain,
% 9.46/6.96 (until5(s235)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11217, 36982])).
% 9.46/6.96 tff(36984,plain,
% 9.46/6.96 (~node4(s235)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11221, 22, 36886])).
% 9.46/6.96 tff(36985,plain,
% 9.46/6.96 (xuntil6(s235) | (~until5(s235))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11228, 36, 36984])).
% 9.46/6.96 tff(36986,plain,
% 9.46/6.96 (xuntil6(s235)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36985, 36983])).
% 9.46/6.96 tff(36987,plain,
% 9.46/6.96 (until5(s236)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11234, 36986])).
% 9.46/6.96 tff(36988,plain,
% 9.46/6.96 (~node4(s236)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11238, 22, 36885])).
% 9.46/6.96 tff(36989,plain,
% 9.46/6.96 (xuntil6(s236) | (~until5(s236))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11245, 36, 36988])).
% 9.46/6.96 tff(36990,plain,
% 9.46/6.96 (xuntil6(s236)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36989, 36987])).
% 9.46/6.96 tff(36991,plain,
% 9.46/6.96 (until5(s237)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11251, 36990])).
% 9.46/6.96 tff(36992,plain,
% 9.46/6.96 (~node4(s237)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11255, 22, 36884])).
% 9.46/6.96 tff(36993,plain,
% 9.46/6.96 (xuntil6(s237) | (~until5(s237))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11262, 36, 36992])).
% 9.46/6.96 tff(36994,plain,
% 9.46/6.96 (xuntil6(s237)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36993, 36991])).
% 9.46/6.96 tff(36995,plain,
% 9.46/6.96 (until5(s238)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11268, 36994])).
% 9.46/6.96 tff(36996,plain,
% 9.46/6.96 (~node4(s238)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11272, 22, 36883])).
% 9.46/6.96 tff(36997,plain,
% 9.46/6.96 (xuntil6(s238) | (~until5(s238))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11279, 36, 36996])).
% 9.46/6.96 tff(36998,plain,
% 9.46/6.96 (xuntil6(s238)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[36997, 36995])).
% 9.46/6.96 tff(36999,plain,
% 9.46/6.96 (until5(s239)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11285, 36998])).
% 9.46/6.96 tff(37000,plain,
% 9.46/6.96 (~node4(s239)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11289, 22, 36882])).
% 9.46/6.96 tff(37001,plain,
% 9.46/6.96 (xuntil6(s239) | (~until5(s239))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11296, 36, 37000])).
% 9.46/6.96 tff(37002,plain,
% 9.46/6.96 (xuntil6(s239)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[37001, 36999])).
% 9.46/6.96 tff(37003,plain,
% 9.46/6.96 (until5(s240)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11302, 37002])).
% 9.46/6.96 tff(37004,plain,
% 9.46/6.96 (~node4(s240)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11306, 22, 36881])).
% 9.46/6.96 tff(37005,plain,
% 9.46/6.96 (xuntil6(s240) | (~until5(s240))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11313, 36, 37004])).
% 9.46/6.96 tff(37006,plain,
% 9.46/6.96 (xuntil6(s240)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[37005, 37003])).
% 9.46/6.96 tff(37007,plain,
% 9.46/6.96 (until5(s241)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11319, 37006])).
% 9.46/6.96 tff(37008,plain,
% 9.46/6.96 (~node4(s241)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11323, 22, 36880])).
% 9.46/6.96 tff(37009,plain,
% 9.46/6.96 (xuntil6(s241) | (~until5(s241))),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[11330, 36, 37008])).
% 9.46/6.96 tff(37010,plain,
% 9.46/6.96 ($false),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[37009, 37007, 36879])).
% 9.46/6.96 tff(37011,plain,(always3(s266) | node4(s253) | xuntil6(s266) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.46/6.96 tff(37012,plain,
% 9.46/6.96 (always3(s266)),
% 9.46/6.96 inference(unit_resolution,[status(thm)],[37011, 36756, 6320, 35006])).
% 9.46/6.96 tff(37013,plain,
% 9.46/6.96 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s266)) | (~m_main_v_state(s266, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s266)) | (~m_main_v_state(s266, c_busy)))),
% 9.46/6.96 inference(rewrite,[status(thm)],[])).
% 9.46/6.96 tff(37014,plain,
% 9.46/6.96 (((~m_main_v_state(s266, c_busy)) | (~always3(s266))) <=> ((~always3(s266)) | (~m_main_v_state(s266, c_busy)))),
% 9.46/6.96 inference(rewrite,[status(thm)],[])).
% 9.46/6.96 tff(37015,plain,
% 9.46/6.96 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s266, c_busy)) | (~always3(s266)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s266)) | (~m_main_v_state(s266, c_busy))))),
% 9.46/6.96 inference(monotonicity,[status(thm)],[37014])).
% 9.46/6.96 tff(37016,plain,
% 9.46/6.96 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s266, c_busy)) | (~always3(s266)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s266)) | (~m_main_v_state(s266, c_busy)))),
% 9.46/6.97 inference(transitivity,[status(thm)],[37015, 37013])).
% 9.46/6.97 tff(37017,plain,
% 9.46/6.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s266, c_busy)) | (~always3(s266)))),
% 9.46/6.97 inference(quant_inst,[status(thm)],[])).
% 9.46/6.97 tff(37018,plain,
% 9.46/6.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s266)) | (~m_main_v_state(s266, c_busy))),
% 9.46/6.97 inference(modus_ponens,[status(thm)],[37017, 37016])).
% 9.46/6.97 tff(37019,plain,
% 9.46/6.97 (~m_main_v_state(s266, c_busy)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37018, 170, 37012])).
% 9.46/6.97 tff(37020,plain,
% 9.46/6.97 (always3(s267)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[5721, 37012])).
% 9.46/6.97 tff(37021,plain,
% 9.46/6.97 (~m_main_v_state(s267, c_busy)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[36725, 170, 37020])).
% 9.46/6.97 tff(37022,plain,
% 9.46/6.97 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s266, c_busy) | m_main_v_state(s266, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s266, c_busy) | m_main_v_state(s266, c_ready))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37023,plain,
% 9.46/6.97 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s266, c_busy) | m_main_v_state(s266, c_ready))),
% 9.46/6.97 inference(quant_inst,[status(thm)],[])).
% 9.46/6.97 tff(37024,plain,
% 9.46/6.97 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s266, c_busy) | m_main_v_state(s266, c_ready)),
% 9.46/6.97 inference(modus_ponens,[status(thm)],[37023, 37022])).
% 9.46/6.97 tff(37025,plain,
% 9.46/6.97 (m_main_v_state(s266, c_ready)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37024, 213, 37019])).
% 9.46/6.97 tff(37026,plain,
% 9.46/6.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s266, s267)) | node2(s266, s267))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s266, s267)) | node2(s266, s267))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37027,plain,
% 9.46/6.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s266, s267)) | node2(s266, s267))),
% 9.46/6.97 inference(quant_inst,[status(thm)],[])).
% 9.46/6.97 tff(37028,plain,
% 9.46/6.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s266, s267)) | node2(s266, s267)),
% 9.46/6.97 inference(modus_ponens,[status(thm)],[37027, 37026])).
% 9.46/6.97 tff(37029,plain,
% 9.46/6.97 (node2(s266, s267)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37028, 7, 5717])).
% 9.46/6.97 tff(37030,plain,
% 9.46/6.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s266, c_ready)) | (~node2(s266, s267)) | m_main_v_state(s267, c_busy) | (~m_main_v_request(s266)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s266, c_ready)) | (~node2(s266, s267)) | m_main_v_state(s267, c_busy) | (~m_main_v_request(s266)))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37031,plain,
% 9.46/6.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s266, c_ready)) | (~node2(s266, s267)) | m_main_v_state(s267, c_busy) | (~m_main_v_request(s266)))),
% 9.46/6.97 inference(quant_inst,[status(thm)],[])).
% 9.46/6.97 tff(37032,plain,
% 9.46/6.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s266, c_ready)) | (~node2(s266, s267)) | m_main_v_state(s267, c_busy) | (~m_main_v_request(s266))),
% 9.46/6.97 inference(modus_ponens,[status(thm)],[37031, 37030])).
% 9.46/6.97 tff(37033,plain,
% 9.46/6.97 ((~m_main_v_state(s266, c_ready)) | m_main_v_state(s267, c_busy) | (~m_main_v_request(s266))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37032, 191, 37029])).
% 9.46/6.97 tff(37034,plain,
% 9.46/6.97 (~m_main_v_request(s266)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37033, 37025, 37021])).
% 9.46/6.97 tff(37035,plain,
% 9.46/6.97 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s266) | (~node4(s266)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s266) | (~node4(s266)))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37036,plain,
% 9.46/6.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s266) | (~node4(s266)))),
% 9.46/6.97 inference(quant_inst,[status(thm)],[])).
% 9.46/6.97 tff(37037,plain,
% 9.46/6.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s266) | (~node4(s266))),
% 9.46/6.97 inference(modus_ponens,[status(thm)],[37036, 37035])).
% 9.46/6.97 tff(37038,plain,
% 9.46/6.97 (~node4(s266)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37037, 154, 37034])).
% 9.46/6.97 tff(37039,plain,
% 9.46/6.97 (node4(s266) | (~until5(s266))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11752, 36, 36756])).
% 9.46/6.97 tff(37040,plain,
% 9.46/6.97 (~until5(s266)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37039, 37038])).
% 9.46/6.97 tff(37041,plain,
% 9.46/6.97 (~xuntil6(s265)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11741, 37040])).
% 9.46/6.97 tff(37042,assumption,(~xuntil6(s265)), introduced(assumption)).
% 9.46/6.97 tff(37043,assumption,(until5(s262)), introduced(assumption)).
% 9.46/6.97 tff(37044,assumption,(~always3(s265)), introduced(assumption)).
% 9.46/6.97 tff(37045,plain,
% 9.46/6.97 (~always3(s264)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[5745, 37044])).
% 9.46/6.97 tff(37046,plain,
% 9.46/6.97 (~always3(s263)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[5757, 37045])).
% 9.46/6.97 tff(37047,plain,
% 9.46/6.97 (~node4(s263)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11694, 22, 37046])).
% 9.46/6.97 tff(37048,plain,
% 9.46/6.97 (~always3(s262)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[5769, 37046])).
% 9.46/6.97 tff(37049,plain,
% 9.46/6.97 (~node4(s262)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11677, 22, 37048])).
% 9.46/6.97 tff(37050,plain,
% 9.46/6.97 (xuntil6(s262) | node4(s262)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11684, 36, 37043])).
% 9.46/6.97 tff(37051,plain,
% 9.46/6.97 (xuntil6(s262)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37050, 37049])).
% 9.46/6.97 tff(37052,plain,
% 9.46/6.97 (until5(s263)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11690, 37051])).
% 9.46/6.97 tff(37053,plain,
% 9.46/6.97 (xuntil6(s263)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11701, 36, 37052, 37047])).
% 9.46/6.97 tff(37054,plain,
% 9.46/6.97 (until5(s264)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11707, 37053])).
% 9.46/6.97 tff(37055,plain,
% 9.46/6.97 (~node4(s264)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11711, 22, 37045])).
% 9.46/6.97 tff(37056,plain,
% 9.46/6.97 (xuntil6(s264) | (~until5(s264))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11718, 36, 37055])).
% 9.46/6.97 tff(37057,plain,
% 9.46/6.97 (xuntil6(s264)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37056, 37054])).
% 9.46/6.97 tff(37058,plain,
% 9.46/6.97 (until5(s265)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11724, 37057])).
% 9.46/6.97 tff(37059,plain,
% 9.46/6.97 (node4(s265) | (~until5(s265))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11735, 36, 37042])).
% 9.46/6.97 tff(37060,plain,
% 9.46/6.97 (node4(s265)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37059, 37058])).
% 9.46/6.97 tff(37061,plain,
% 9.46/6.97 ($false),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11728, 22, 37044, 37060])).
% 9.46/6.97 tff(37062,plain,(always3(s265) | xuntil6(s265) | (~until5(s262))), inference(lemma,lemma(discharge,[]))).
% 9.46/6.97 tff(37063,plain,
% 9.46/6.97 (always3(s265)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37062, 37043, 37042])).
% 9.46/6.97 tff(37064,plain,
% 9.46/6.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s265)) | (~m_main_v_state(s265, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s265)) | (~m_main_v_state(s265, c_busy)))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37065,plain,
% 9.46/6.97 (((~m_main_v_state(s265, c_busy)) | (~always3(s265))) <=> ((~always3(s265)) | (~m_main_v_state(s265, c_busy)))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37066,plain,
% 9.46/6.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s265, c_busy)) | (~always3(s265)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s265)) | (~m_main_v_state(s265, c_busy))))),
% 9.46/6.97 inference(monotonicity,[status(thm)],[37065])).
% 9.46/6.97 tff(37067,plain,
% 9.46/6.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s265, c_busy)) | (~always3(s265)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s265)) | (~m_main_v_state(s265, c_busy)))),
% 9.46/6.97 inference(transitivity,[status(thm)],[37066, 37064])).
% 9.46/6.97 tff(37068,plain,
% 9.46/6.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s265, c_busy)) | (~always3(s265)))),
% 9.46/6.97 inference(quant_inst,[status(thm)],[])).
% 9.46/6.97 tff(37069,plain,
% 9.46/6.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s265)) | (~m_main_v_state(s265, c_busy))),
% 9.46/6.97 inference(modus_ponens,[status(thm)],[37068, 37067])).
% 9.46/6.97 tff(37070,plain,
% 9.46/6.97 (~m_main_v_state(s265, c_busy)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37069, 170, 37063])).
% 9.46/6.97 tff(37071,assumption,(~m_main_v_state(s265, c_busy)), introduced(assumption)).
% 9.46/6.97 tff(37072,assumption,(node4(s264)), introduced(assumption)).
% 9.46/6.97 tff(37073,plain,
% 9.46/6.97 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s264) | (~node4(s264)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s264) | (~node4(s264)))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37074,plain,
% 9.46/6.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s264) | (~node4(s264)))),
% 9.46/6.97 inference(quant_inst,[status(thm)],[])).
% 9.46/6.97 tff(37075,plain,
% 9.46/6.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s264) | (~node4(s264))),
% 9.46/6.97 inference(modus_ponens,[status(thm)],[37074, 37073])).
% 9.46/6.97 tff(37076,plain,
% 9.46/6.97 (m_main_v_request(s264)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37075, 154, 37072])).
% 9.46/6.97 tff(37077,plain,
% 9.46/6.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s264, s265)) | node2(s264, s265))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s264, s265)) | node2(s264, s265))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37078,plain,
% 9.46/6.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s264, s265)) | node2(s264, s265))),
% 9.46/6.97 inference(quant_inst,[status(thm)],[])).
% 9.46/6.97 tff(37079,plain,
% 9.46/6.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s264, s265)) | node2(s264, s265)),
% 9.46/6.97 inference(modus_ponens,[status(thm)],[37078, 37077])).
% 9.46/6.97 tff(37080,plain,
% 9.46/6.97 (node2(s264, s265)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37079, 7, 5741])).
% 9.46/6.97 tff(37081,plain,
% 9.46/6.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s264, c_ready)) | (~node2(s264, s265)) | m_main_v_state(s265, c_busy) | (~m_main_v_request(s264)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s264, c_ready)) | (~node2(s264, s265)) | m_main_v_state(s265, c_busy) | (~m_main_v_request(s264)))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37082,plain,
% 9.46/6.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s264, c_ready)) | (~node2(s264, s265)) | m_main_v_state(s265, c_busy) | (~m_main_v_request(s264)))),
% 9.46/6.97 inference(quant_inst,[status(thm)],[])).
% 9.46/6.97 tff(37083,plain,
% 9.46/6.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s264, c_ready)) | (~node2(s264, s265)) | m_main_v_state(s265, c_busy) | (~m_main_v_request(s264))),
% 9.46/6.97 inference(modus_ponens,[status(thm)],[37082, 37081])).
% 9.46/6.97 tff(37084,plain,
% 9.46/6.97 ((~m_main_v_state(s264, c_ready)) | m_main_v_state(s265, c_busy) | (~m_main_v_request(s264))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37083, 191, 37080])).
% 9.46/6.97 tff(37085,plain,
% 9.46/6.97 (~m_main_v_state(s264, c_ready)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37084, 37076, 37071])).
% 9.46/6.97 tff(37086,plain,
% 9.46/6.97 (always3(s264)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11711, 22, 37072])).
% 9.46/6.97 tff(37087,plain,
% 9.46/6.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s264)) | (~m_main_v_state(s264, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s264)) | (~m_main_v_state(s264, c_busy)))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37088,plain,
% 9.46/6.97 (((~m_main_v_state(s264, c_busy)) | (~always3(s264))) <=> ((~always3(s264)) | (~m_main_v_state(s264, c_busy)))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37089,plain,
% 9.46/6.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s264, c_busy)) | (~always3(s264)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s264)) | (~m_main_v_state(s264, c_busy))))),
% 9.46/6.97 inference(monotonicity,[status(thm)],[37088])).
% 9.46/6.97 tff(37090,plain,
% 9.46/6.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s264, c_busy)) | (~always3(s264)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s264)) | (~m_main_v_state(s264, c_busy)))),
% 9.46/6.97 inference(transitivity,[status(thm)],[37089, 37087])).
% 9.46/6.97 tff(37091,plain,
% 9.46/6.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s264, c_busy)) | (~always3(s264)))),
% 9.46/6.97 inference(quant_inst,[status(thm)],[])).
% 9.46/6.97 tff(37092,plain,
% 9.46/6.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s264)) | (~m_main_v_state(s264, c_busy))),
% 9.46/6.97 inference(modus_ponens,[status(thm)],[37091, 37090])).
% 9.46/6.97 tff(37093,plain,
% 9.46/6.97 (~m_main_v_state(s264, c_busy)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37092, 170, 37086])).
% 9.46/6.97 tff(37094,plain,
% 9.46/6.97 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s264, c_busy) | m_main_v_state(s264, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s264, c_busy) | m_main_v_state(s264, c_ready))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37095,plain,
% 9.46/6.97 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s264, c_busy) | m_main_v_state(s264, c_ready))),
% 9.46/6.97 inference(quant_inst,[status(thm)],[])).
% 9.46/6.97 tff(37096,plain,
% 9.46/6.97 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s264, c_busy) | m_main_v_state(s264, c_ready)),
% 9.46/6.97 inference(modus_ponens,[status(thm)],[37095, 37094])).
% 9.46/6.97 tff(37097,plain,
% 9.46/6.97 ($false),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37096, 213, 37093, 37085])).
% 9.46/6.97 tff(37098,plain,((~node4(s264)) | m_main_v_state(s265, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.46/6.97 tff(37099,plain,
% 9.46/6.97 (~node4(s264)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37098, 37070])).
% 9.46/6.97 tff(37100,assumption,(~m_main_v_state(s266, c_busy)), introduced(assumption)).
% 9.46/6.97 tff(37101,plain,
% 9.46/6.97 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s265, c_busy) | m_main_v_state(s265, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s265, c_busy) | m_main_v_state(s265, c_ready))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37102,plain,
% 9.46/6.97 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s265, c_busy) | m_main_v_state(s265, c_ready))),
% 9.46/6.97 inference(quant_inst,[status(thm)],[])).
% 9.46/6.97 tff(37103,plain,
% 9.46/6.97 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s265, c_busy) | m_main_v_state(s265, c_ready)),
% 9.46/6.97 inference(modus_ponens,[status(thm)],[37102, 37101])).
% 9.46/6.97 tff(37104,plain,
% 9.46/6.97 (m_main_v_state(s265, c_ready)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37103, 213, 37070])).
% 9.46/6.97 tff(37105,plain,
% 9.46/6.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s265, s266)) | node2(s265, s266))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s265, s266)) | node2(s265, s266))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37106,plain,
% 9.46/6.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s265, s266)) | node2(s265, s266))),
% 9.46/6.97 inference(quant_inst,[status(thm)],[])).
% 9.46/6.97 tff(37107,plain,
% 9.46/6.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s265, s266)) | node2(s265, s266)),
% 9.46/6.97 inference(modus_ponens,[status(thm)],[37106, 37105])).
% 9.46/6.97 tff(37108,plain,
% 9.46/6.97 (node2(s265, s266)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37107, 7, 5729])).
% 9.46/6.97 tff(37109,plain,
% 9.46/6.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s265, c_ready)) | (~node2(s265, s266)) | m_main_v_state(s266, c_busy) | (~m_main_v_request(s265)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s265, c_ready)) | (~node2(s265, s266)) | m_main_v_state(s266, c_busy) | (~m_main_v_request(s265)))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37110,plain,
% 9.46/6.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s265, c_ready)) | (~node2(s265, s266)) | m_main_v_state(s266, c_busy) | (~m_main_v_request(s265)))),
% 9.46/6.97 inference(quant_inst,[status(thm)],[])).
% 9.46/6.97 tff(37111,plain,
% 9.46/6.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s265, c_ready)) | (~node2(s265, s266)) | m_main_v_state(s266, c_busy) | (~m_main_v_request(s265))),
% 9.46/6.97 inference(modus_ponens,[status(thm)],[37110, 37109])).
% 9.46/6.97 tff(37112,plain,
% 9.46/6.97 ((~m_main_v_state(s265, c_ready)) | m_main_v_state(s266, c_busy) | (~m_main_v_request(s265))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37111, 191, 37108])).
% 9.46/6.97 tff(37113,plain,
% 9.46/6.97 (~m_main_v_request(s265)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37112, 37104, 37100])).
% 9.46/6.97 tff(37114,plain,
% 9.46/6.97 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s265) | (~node4(s265)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s265) | (~node4(s265)))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37115,plain,
% 9.46/6.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s265) | (~node4(s265)))),
% 9.46/6.97 inference(quant_inst,[status(thm)],[])).
% 9.46/6.97 tff(37116,plain,
% 9.46/6.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s265) | (~node4(s265))),
% 9.46/6.97 inference(modus_ponens,[status(thm)],[37115, 37114])).
% 9.46/6.97 tff(37117,plain,
% 9.46/6.97 (~node4(s265)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37116, 154, 37113])).
% 9.46/6.97 tff(37118,plain,
% 9.46/6.97 (~until5(s265)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37059, 37117])).
% 9.46/6.97 tff(37119,plain,
% 9.46/6.97 (~xuntil6(s264)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11724, 37118])).
% 9.46/6.97 tff(37120,plain,
% 9.46/6.97 (node4(s264) | (~until5(s264))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11718, 36, 37119])).
% 9.46/6.97 tff(37121,plain,
% 9.46/6.97 (~until5(s264)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37120, 37099])).
% 9.46/6.97 tff(37122,plain,
% 9.46/6.97 (~xuntil6(s263)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11707, 37121])).
% 9.46/6.97 tff(37123,assumption,(~always3(s263)), introduced(assumption)).
% 9.46/6.97 tff(37124,plain,
% 9.46/6.97 (~node4(s263)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11694, 22, 37123])).
% 9.46/6.97 tff(37125,assumption,(~xuntil6(s263)), introduced(assumption)).
% 9.46/6.97 tff(37126,plain,
% 9.46/6.97 (node4(s263) | (~until5(s263))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11701, 36, 37125])).
% 9.46/6.97 tff(37127,plain,
% 9.46/6.97 (~until5(s263)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37126, 37124])).
% 9.46/6.97 tff(37128,plain,
% 9.46/6.97 (~always3(s262)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[5769, 37123])).
% 9.46/6.97 tff(37129,plain,
% 9.46/6.97 (~node4(s262)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11677, 22, 37128])).
% 9.46/6.97 tff(37130,plain,
% 9.46/6.97 (xuntil6(s262)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37050, 37129])).
% 9.46/6.97 tff(37131,plain,
% 9.46/6.97 ($false),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11690, 37130, 37127])).
% 9.46/6.97 tff(37132,plain,(always3(s263) | (~until5(s262)) | xuntil6(s263)), inference(lemma,lemma(discharge,[]))).
% 9.46/6.97 tff(37133,plain,
% 9.46/6.97 (always3(s263)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37132, 37043, 37122])).
% 9.46/6.97 tff(37134,plain,
% 9.46/6.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s263)) | (~m_main_v_state(s263, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s263)) | (~m_main_v_state(s263, c_busy)))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37135,plain,
% 9.46/6.97 (((~m_main_v_state(s263, c_busy)) | (~always3(s263))) <=> ((~always3(s263)) | (~m_main_v_state(s263, c_busy)))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37136,plain,
% 9.46/6.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s263, c_busy)) | (~always3(s263)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s263)) | (~m_main_v_state(s263, c_busy))))),
% 9.46/6.97 inference(monotonicity,[status(thm)],[37135])).
% 9.46/6.97 tff(37137,plain,
% 9.46/6.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s263, c_busy)) | (~always3(s263)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s263)) | (~m_main_v_state(s263, c_busy)))),
% 9.46/6.97 inference(transitivity,[status(thm)],[37136, 37134])).
% 9.46/6.97 tff(37138,plain,
% 9.46/6.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s263, c_busy)) | (~always3(s263)))),
% 9.46/6.97 inference(quant_inst,[status(thm)],[])).
% 9.46/6.97 tff(37139,plain,
% 9.46/6.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s263)) | (~m_main_v_state(s263, c_busy))),
% 9.46/6.97 inference(modus_ponens,[status(thm)],[37138, 37137])).
% 9.46/6.97 tff(37140,plain,
% 9.46/6.97 (~m_main_v_state(s263, c_busy)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37139, 170, 37133])).
% 9.46/6.97 tff(37141,plain,
% 9.46/6.97 (always3(s264)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[5757, 37133])).
% 9.46/6.97 tff(37142,plain,
% 9.46/6.97 (~m_main_v_state(s264, c_busy)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37092, 170, 37141])).
% 9.46/6.97 tff(37143,plain,
% 9.46/6.97 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s263, c_busy) | m_main_v_state(s263, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s263, c_busy) | m_main_v_state(s263, c_ready))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37144,plain,
% 9.46/6.97 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s263, c_busy) | m_main_v_state(s263, c_ready))),
% 9.46/6.97 inference(quant_inst,[status(thm)],[])).
% 9.46/6.97 tff(37145,plain,
% 9.46/6.97 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s263, c_busy) | m_main_v_state(s263, c_ready)),
% 9.46/6.97 inference(modus_ponens,[status(thm)],[37144, 37143])).
% 9.46/6.97 tff(37146,plain,
% 9.46/6.97 (m_main_v_state(s263, c_ready)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37145, 213, 37140])).
% 9.46/6.97 tff(37147,plain,
% 9.46/6.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s263, s264)) | node2(s263, s264))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s263, s264)) | node2(s263, s264))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37148,plain,
% 9.46/6.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s263, s264)) | node2(s263, s264))),
% 9.46/6.97 inference(quant_inst,[status(thm)],[])).
% 9.46/6.97 tff(37149,plain,
% 9.46/6.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s263, s264)) | node2(s263, s264)),
% 9.46/6.97 inference(modus_ponens,[status(thm)],[37148, 37147])).
% 9.46/6.97 tff(37150,plain,
% 9.46/6.97 (node2(s263, s264)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37149, 7, 5753])).
% 9.46/6.97 tff(37151,plain,
% 9.46/6.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s263, c_ready)) | (~node2(s263, s264)) | m_main_v_state(s264, c_busy) | (~m_main_v_request(s263)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s263, c_ready)) | (~node2(s263, s264)) | m_main_v_state(s264, c_busy) | (~m_main_v_request(s263)))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37152,plain,
% 9.46/6.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s263, c_ready)) | (~node2(s263, s264)) | m_main_v_state(s264, c_busy) | (~m_main_v_request(s263)))),
% 9.46/6.97 inference(quant_inst,[status(thm)],[])).
% 9.46/6.97 tff(37153,plain,
% 9.46/6.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s263, c_ready)) | (~node2(s263, s264)) | m_main_v_state(s264, c_busy) | (~m_main_v_request(s263))),
% 9.46/6.97 inference(modus_ponens,[status(thm)],[37152, 37151])).
% 9.46/6.97 tff(37154,plain,
% 9.46/6.97 ((~m_main_v_state(s263, c_ready)) | m_main_v_state(s264, c_busy) | (~m_main_v_request(s263))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37153, 191, 37150])).
% 9.46/6.97 tff(37155,plain,
% 9.46/6.97 (~m_main_v_request(s263)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37154, 37146, 37142])).
% 9.46/6.97 tff(37156,plain,
% 9.46/6.97 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s263) | (~node4(s263)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s263) | (~node4(s263)))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37157,plain,
% 9.46/6.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s263) | (~node4(s263)))),
% 9.46/6.97 inference(quant_inst,[status(thm)],[])).
% 9.46/6.97 tff(37158,plain,
% 9.46/6.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s263) | (~node4(s263))),
% 9.46/6.97 inference(modus_ponens,[status(thm)],[37157, 37156])).
% 9.46/6.97 tff(37159,plain,
% 9.46/6.97 (~node4(s263)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37158, 154, 37155])).
% 9.46/6.97 tff(37160,plain,
% 9.46/6.97 (node4(s263) | (~until5(s263))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11701, 36, 37122])).
% 9.46/6.97 tff(37161,plain,
% 9.46/6.97 (~until5(s263)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37160, 37159])).
% 9.46/6.97 tff(37162,plain,
% 9.46/6.97 (~xuntil6(s262)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11690, 37161])).
% 9.46/6.97 tff(37163,plain,
% 9.46/6.97 (node4(s262)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37050, 37162])).
% 9.46/6.97 tff(37164,plain,
% 9.46/6.97 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s262) | (~node4(s262)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s262) | (~node4(s262)))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37165,plain,
% 9.46/6.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s262) | (~node4(s262)))),
% 9.46/6.97 inference(quant_inst,[status(thm)],[])).
% 9.46/6.97 tff(37166,plain,
% 9.46/6.97 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s262) | (~node4(s262))),
% 9.46/6.97 inference(modus_ponens,[status(thm)],[37165, 37164])).
% 9.46/6.97 tff(37167,plain,
% 9.46/6.97 (m_main_v_request(s262)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37166, 154, 37163])).
% 9.46/6.97 tff(37168,plain,
% 9.46/6.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s262, s263)) | node2(s262, s263))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s262, s263)) | node2(s262, s263))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37169,plain,
% 9.46/6.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s262, s263)) | node2(s262, s263))),
% 9.46/6.97 inference(quant_inst,[status(thm)],[])).
% 9.46/6.97 tff(37170,plain,
% 9.46/6.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s262, s263)) | node2(s262, s263)),
% 9.46/6.97 inference(modus_ponens,[status(thm)],[37169, 37168])).
% 9.46/6.97 tff(37171,plain,
% 9.46/6.97 (node2(s262, s263)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37170, 7, 5765])).
% 9.46/6.97 tff(37172,plain,
% 9.46/6.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s262, c_ready)) | (~node2(s262, s263)) | m_main_v_state(s263, c_busy) | (~m_main_v_request(s262)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s262, c_ready)) | (~node2(s262, s263)) | m_main_v_state(s263, c_busy) | (~m_main_v_request(s262)))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37173,plain,
% 9.46/6.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s262, c_ready)) | (~node2(s262, s263)) | m_main_v_state(s263, c_busy) | (~m_main_v_request(s262)))),
% 9.46/6.97 inference(quant_inst,[status(thm)],[])).
% 9.46/6.97 tff(37174,plain,
% 9.46/6.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s262, c_ready)) | (~node2(s262, s263)) | m_main_v_state(s263, c_busy) | (~m_main_v_request(s262))),
% 9.46/6.97 inference(modus_ponens,[status(thm)],[37173, 37172])).
% 9.46/6.97 tff(37175,plain,
% 9.46/6.97 ((~m_main_v_state(s262, c_ready)) | m_main_v_state(s263, c_busy) | (~m_main_v_request(s262))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37174, 191, 37171])).
% 9.46/6.97 tff(37176,plain,
% 9.46/6.97 (~m_main_v_state(s262, c_ready)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37175, 37167, 37140])).
% 9.46/6.97 tff(37177,plain,
% 9.46/6.97 (always3(s262)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11677, 22, 37163])).
% 9.46/6.97 tff(37178,plain,
% 9.46/6.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s262)) | (~m_main_v_state(s262, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s262)) | (~m_main_v_state(s262, c_busy)))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37179,plain,
% 9.46/6.97 (((~m_main_v_state(s262, c_busy)) | (~always3(s262))) <=> ((~always3(s262)) | (~m_main_v_state(s262, c_busy)))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37180,plain,
% 9.46/6.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s262, c_busy)) | (~always3(s262)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s262)) | (~m_main_v_state(s262, c_busy))))),
% 9.46/6.97 inference(monotonicity,[status(thm)],[37179])).
% 9.46/6.97 tff(37181,plain,
% 9.46/6.97 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s262, c_busy)) | (~always3(s262)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s262)) | (~m_main_v_state(s262, c_busy)))),
% 9.46/6.97 inference(transitivity,[status(thm)],[37180, 37178])).
% 9.46/6.97 tff(37182,plain,
% 9.46/6.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s262, c_busy)) | (~always3(s262)))),
% 9.46/6.97 inference(quant_inst,[status(thm)],[])).
% 9.46/6.97 tff(37183,plain,
% 9.46/6.97 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s262)) | (~m_main_v_state(s262, c_busy))),
% 9.46/6.97 inference(modus_ponens,[status(thm)],[37182, 37181])).
% 9.46/6.97 tff(37184,plain,
% 9.46/6.97 (~m_main_v_state(s262, c_busy)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37183, 170, 37177])).
% 9.46/6.97 tff(37185,plain,
% 9.46/6.97 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s262, c_busy) | m_main_v_state(s262, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s262, c_busy) | m_main_v_state(s262, c_ready))),
% 9.46/6.97 inference(rewrite,[status(thm)],[])).
% 9.46/6.97 tff(37186,plain,
% 9.46/6.97 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s262, c_busy) | m_main_v_state(s262, c_ready))),
% 9.46/6.97 inference(quant_inst,[status(thm)],[])).
% 9.46/6.97 tff(37187,plain,
% 9.46/6.97 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s262, c_busy) | m_main_v_state(s262, c_ready)),
% 9.46/6.97 inference(modus_ponens,[status(thm)],[37186, 37185])).
% 9.46/6.97 tff(37188,plain,
% 9.46/6.97 ($false),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37187, 213, 37184, 37176])).
% 9.46/6.97 tff(37189,plain,((~until5(s262)) | xuntil6(s265) | m_main_v_state(s266, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.46/6.97 tff(37190,plain,
% 9.46/6.97 (~until5(s262)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37189, 37041, 37019])).
% 9.46/6.97 tff(37191,plain,
% 9.46/6.97 (~xuntil6(s261)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11673, 37190])).
% 9.46/6.97 tff(37192,assumption,(~always3(s261)), introduced(assumption)).
% 9.46/6.97 tff(37193,plain,
% 9.46/6.97 (~always3(s260)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[5793, 37192])).
% 9.46/6.97 tff(37194,plain,
% 9.46/6.97 (~node4(s260)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11643, 22, 37193])).
% 9.46/6.97 tff(37195,plain,
% 9.46/6.97 (~node4(s261)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11660, 22, 37192])).
% 9.46/6.97 tff(37196,assumption,(~xuntil6(s261)), introduced(assumption)).
% 9.46/6.97 tff(37197,plain,
% 9.46/6.97 (node4(s261) | (~until5(s261))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11667, 36, 37196])).
% 9.46/6.97 tff(37198,plain,
% 9.46/6.97 (~until5(s261)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37197, 37195])).
% 9.46/6.97 tff(37199,plain,
% 9.46/6.97 (~xuntil6(s260)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11656, 37198])).
% 9.46/6.97 tff(37200,plain,
% 9.46/6.97 (~until5(s260)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11650, 36, 37199, 37194])).
% 9.46/6.97 tff(37201,plain,
% 9.46/6.97 (~xuntil6(s259)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11639, 37200])).
% 9.46/6.97 tff(37202,plain,
% 9.46/6.97 (~always3(s259)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[5805, 37193])).
% 9.46/6.97 tff(37203,plain,
% 9.46/6.97 (~node4(s259)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11626, 22, 37202])).
% 9.46/6.97 tff(37204,plain,
% 9.46/6.97 (xuntil6(s259) | (~until5(s259))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11633, 36, 37203])).
% 9.46/6.97 tff(37205,plain,
% 9.46/6.97 (~until5(s259)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37204, 37201])).
% 9.46/6.97 tff(37206,plain,
% 9.46/6.97 (~xuntil6(s258)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11622, 37205])).
% 9.46/6.97 tff(37207,plain,
% 9.46/6.97 (~always3(s258)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[5817, 37202])).
% 9.46/6.97 tff(37208,plain,
% 9.46/6.97 (~node4(s258)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11609, 22, 37207])).
% 9.46/6.97 tff(37209,plain,
% 9.46/6.97 (xuntil6(s258) | (~until5(s258))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11616, 36, 37208])).
% 9.46/6.97 tff(37210,plain,
% 9.46/6.97 (~until5(s258)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37209, 37206])).
% 9.46/6.97 tff(37211,plain,
% 9.46/6.97 (~xuntil6(s257)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11605, 37210])).
% 9.46/6.97 tff(37212,plain,
% 9.46/6.97 (~always3(s257)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[5829, 37207])).
% 9.46/6.97 tff(37213,plain,
% 9.46/6.97 (~node4(s257)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11592, 22, 37212])).
% 9.46/6.97 tff(37214,plain,
% 9.46/6.97 (xuntil6(s257) | (~until5(s257))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11599, 36, 37213])).
% 9.46/6.97 tff(37215,plain,
% 9.46/6.97 (~until5(s257)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37214, 37211])).
% 9.46/6.97 tff(37216,plain,
% 9.46/6.97 (~xuntil6(s256)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11588, 37215])).
% 9.46/6.97 tff(37217,plain,
% 9.46/6.97 (~always3(s256)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[5841, 37212])).
% 9.46/6.97 tff(37218,plain,
% 9.46/6.97 (~node4(s256)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11575, 22, 37217])).
% 9.46/6.97 tff(37219,plain,
% 9.46/6.97 (xuntil6(s256) | (~until5(s256))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11582, 36, 37218])).
% 9.46/6.97 tff(37220,plain,
% 9.46/6.97 (~until5(s256)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37219, 37216])).
% 9.46/6.97 tff(37221,plain,
% 9.46/6.97 (~xuntil6(s255)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11571, 37220])).
% 9.46/6.97 tff(37222,plain,
% 9.46/6.97 (~always3(s255)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[5853, 37217])).
% 9.46/6.97 tff(37223,plain,
% 9.46/6.97 (~node4(s255)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11558, 22, 37222])).
% 9.46/6.97 tff(37224,plain,
% 9.46/6.97 (xuntil6(s255) | (~until5(s255))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11565, 36, 37223])).
% 9.46/6.97 tff(37225,plain,
% 9.46/6.97 (~until5(s255)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37224, 37221])).
% 9.46/6.97 tff(37226,plain,
% 9.46/6.97 (~xuntil6(s254)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11554, 37225])).
% 9.46/6.97 tff(37227,plain,
% 9.46/6.97 (~always3(s254)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[5865, 37222])).
% 9.46/6.97 tff(37228,plain,
% 9.46/6.97 (~node4(s254)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11541, 22, 37227])).
% 9.46/6.97 tff(37229,plain,
% 9.46/6.97 (xuntil6(s254) | (~until5(s254))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11548, 36, 37228])).
% 9.46/6.97 tff(37230,plain,
% 9.46/6.97 (~until5(s254)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37229, 37226])).
% 9.46/6.97 tff(37231,plain,
% 9.46/6.97 (~xuntil6(s253)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11537, 37230])).
% 9.46/6.97 tff(37232,plain,
% 9.46/6.97 (~until5(s253)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11532, 37231])).
% 9.46/6.97 tff(37233,plain,
% 9.46/6.97 (~xuntil6(s252)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11523, 37232])).
% 9.46/6.97 tff(37234,plain,
% 9.46/6.97 (~always3(s253)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[5092, 37227])).
% 9.46/6.97 tff(37235,plain,
% 9.46/6.97 (~always3(s252)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[5878, 37234])).
% 9.46/6.97 tff(37236,plain,
% 9.46/6.97 (~node4(s252)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11510, 22, 37235])).
% 9.46/6.97 tff(37237,plain,
% 9.46/6.97 (xuntil6(s252) | (~until5(s252))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11517, 36, 37236])).
% 9.46/6.97 tff(37238,plain,
% 9.46/6.97 (~until5(s252)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37237, 37233])).
% 9.46/6.97 tff(37239,plain,
% 9.46/6.97 (~xuntil6(s251)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11506, 37238])).
% 9.46/6.97 tff(37240,plain,
% 9.46/6.97 (~always3(s251)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[5890, 37235])).
% 9.46/6.97 tff(37241,plain,
% 9.46/6.97 (~node4(s251)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11493, 22, 37240])).
% 9.46/6.97 tff(37242,plain,
% 9.46/6.97 (xuntil6(s251) | (~until5(s251))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11500, 36, 37241])).
% 9.46/6.97 tff(37243,plain,
% 9.46/6.97 (~until5(s251)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37242, 37239])).
% 9.46/6.97 tff(37244,plain,
% 9.46/6.97 (~xuntil6(s250)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11489, 37243])).
% 9.46/6.97 tff(37245,plain,
% 9.46/6.97 (~always3(s250)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[5902, 37240])).
% 9.46/6.97 tff(37246,plain,
% 9.46/6.97 (~node4(s250)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11476, 22, 37245])).
% 9.46/6.97 tff(37247,plain,
% 9.46/6.97 (xuntil6(s250) | (~until5(s250))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11483, 36, 37246])).
% 9.46/6.97 tff(37248,plain,
% 9.46/6.97 (~until5(s250)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37247, 37244])).
% 9.46/6.97 tff(37249,plain,
% 9.46/6.97 (~xuntil6(s249)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11472, 37248])).
% 9.46/6.97 tff(37250,plain,
% 9.46/6.97 (~always3(s249)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[5914, 37245])).
% 9.46/6.97 tff(37251,plain,
% 9.46/6.97 (~node4(s249)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11459, 22, 37250])).
% 9.46/6.97 tff(37252,plain,
% 9.46/6.97 (xuntil6(s249) | (~until5(s249))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11466, 36, 37251])).
% 9.46/6.97 tff(37253,plain,
% 9.46/6.97 (~until5(s249)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37252, 37249])).
% 9.46/6.97 tff(37254,plain,
% 9.46/6.97 (~xuntil6(s248)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11455, 37253])).
% 9.46/6.97 tff(37255,plain,
% 9.46/6.97 (~always3(s248)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[5926, 37250])).
% 9.46/6.97 tff(37256,plain,
% 9.46/6.97 (~node4(s248)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11442, 22, 37255])).
% 9.46/6.97 tff(37257,plain,
% 9.46/6.97 (xuntil6(s248) | (~until5(s248))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11449, 36, 37256])).
% 9.46/6.97 tff(37258,plain,
% 9.46/6.97 (~until5(s248)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37257, 37254])).
% 9.46/6.97 tff(37259,plain,
% 9.46/6.97 (~xuntil6(s247)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11438, 37258])).
% 9.46/6.97 tff(37260,plain,
% 9.46/6.97 (~always3(s247)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[5938, 37255])).
% 9.46/6.97 tff(37261,plain,
% 9.46/6.97 (~node4(s247)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11425, 22, 37260])).
% 9.46/6.97 tff(37262,plain,
% 9.46/6.97 (xuntil6(s247) | (~until5(s247))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11432, 36, 37261])).
% 9.46/6.97 tff(37263,plain,
% 9.46/6.97 (~until5(s247)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37262, 37259])).
% 9.46/6.97 tff(37264,plain,
% 9.46/6.97 (~xuntil6(s246)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11421, 37263])).
% 9.46/6.97 tff(37265,plain,
% 9.46/6.97 (~always3(s246)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[5950, 37260])).
% 9.46/6.97 tff(37266,plain,
% 9.46/6.97 (~node4(s246)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11408, 22, 37265])).
% 9.46/6.97 tff(37267,plain,
% 9.46/6.97 (xuntil6(s246) | (~until5(s246))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11415, 36, 37266])).
% 9.46/6.97 tff(37268,plain,
% 9.46/6.97 (~until5(s246)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37267, 37264])).
% 9.46/6.97 tff(37269,plain,
% 9.46/6.97 (~xuntil6(s245)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11404, 37268])).
% 9.46/6.97 tff(37270,plain,
% 9.46/6.97 (~always3(s245)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[5962, 37265])).
% 9.46/6.97 tff(37271,plain,
% 9.46/6.97 (~node4(s245)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11391, 22, 37270])).
% 9.46/6.97 tff(37272,plain,
% 9.46/6.97 (xuntil6(s245) | (~until5(s245))),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11398, 36, 37271])).
% 9.46/6.97 tff(37273,plain,
% 9.46/6.97 (~until5(s245)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[37272, 37269])).
% 9.46/6.97 tff(37274,plain,
% 9.46/6.97 (~xuntil6(s244)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11387, 37273])).
% 9.46/6.97 tff(37275,plain,
% 9.46/6.97 (~always3(s244)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[5974, 37270])).
% 9.46/6.97 tff(37276,plain,
% 9.46/6.97 (~node4(s244)),
% 9.46/6.97 inference(unit_resolution,[status(thm)],[11374, 22, 37275])).
% 9.46/6.98 tff(37277,plain,
% 9.46/6.98 (xuntil6(s244) | (~until5(s244))),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[11381, 36, 37276])).
% 9.46/6.98 tff(37278,plain,
% 9.46/6.98 (~until5(s244)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[37277, 37274])).
% 9.46/6.98 tff(37279,plain,
% 9.46/6.98 (~xuntil6(s243)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[11370, 37278])).
% 9.46/6.98 tff(37280,plain,
% 9.46/6.98 (~always3(s243)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[5986, 37275])).
% 9.46/6.98 tff(37281,plain,
% 9.46/6.98 (~node4(s243)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[11357, 22, 37280])).
% 9.46/6.98 tff(37282,plain,
% 9.46/6.98 (xuntil6(s243) | (~until5(s243))),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[11364, 36, 37281])).
% 9.46/6.98 tff(37283,plain,
% 9.46/6.98 (~until5(s243)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[37282, 37279])).
% 9.46/6.98 tff(37284,plain,
% 9.46/6.98 (~xuntil6(s242)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[11353, 37283])).
% 9.46/6.98 tff(37285,plain,
% 9.46/6.98 (~always3(s242)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[5998, 37280])).
% 9.46/6.98 tff(37286,plain,
% 9.46/6.98 (~node4(s242)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[11340, 22, 37285])).
% 9.46/6.98 tff(37287,plain,
% 9.46/6.98 (xuntil6(s242) | (~until5(s242))),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[11347, 36, 37286])).
% 9.46/6.98 tff(37288,plain,
% 9.46/6.98 (~until5(s242)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[37287, 37284])).
% 9.46/6.98 tff(37289,plain,
% 9.46/6.98 (~xuntil6(s241)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[11336, 37288])).
% 9.46/6.98 tff(37290,plain,
% 9.46/6.98 (~always3(s241)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[6010, 37285])).
% 9.46/6.98 tff(37291,plain,
% 9.46/6.98 (~node4(s241)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[11323, 22, 37290])).
% 9.46/6.98 tff(37292,plain,
% 9.46/6.98 (xuntil6(s241) | (~until5(s241))),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[11330, 36, 37291])).
% 9.46/6.98 tff(37293,plain,
% 9.46/6.98 (~until5(s241)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[37292, 37289])).
% 9.46/6.98 tff(37294,plain,
% 9.46/6.98 (~xuntil6(s240)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[11319, 37293])).
% 9.46/6.98 tff(37295,plain,
% 9.46/6.98 (~always3(s240)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[6022, 37290])).
% 9.46/6.98 tff(37296,plain,
% 9.46/6.98 (~node4(s240)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[11306, 22, 37295])).
% 9.46/6.98 tff(37297,plain,
% 9.46/6.98 (xuntil6(s240) | (~until5(s240))),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[11313, 36, 37296])).
% 9.46/6.98 tff(37298,plain,
% 9.46/6.98 (~until5(s240)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[37297, 37294])).
% 9.46/6.98 tff(37299,plain,
% 9.46/6.98 (~xuntil6(s239)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[11302, 37298])).
% 9.46/6.98 tff(37300,plain,
% 9.46/6.98 (~always3(s239)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[6034, 37295])).
% 9.46/6.98 tff(37301,plain,
% 9.46/6.98 (~node4(s239)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[11289, 22, 37300])).
% 9.46/6.98 tff(37302,plain,
% 9.46/6.98 (xuntil6(s239) | (~until5(s239))),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[11296, 36, 37301])).
% 9.46/6.98 tff(37303,plain,
% 9.46/6.98 (~until5(s239)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[37302, 37299])).
% 9.46/6.98 tff(37304,plain,
% 9.46/6.98 (~always3(s238)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[6046, 37300])).
% 9.46/6.98 tff(37305,plain,
% 9.46/6.98 (~always3(s237)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[6058, 37304])).
% 9.46/6.98 tff(37306,plain,
% 9.46/6.98 (~always3(s236)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[6070, 37305])).
% 9.46/6.98 tff(37307,plain,
% 9.46/6.98 (~always3(s235)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[6082, 37306])).
% 9.46/6.98 tff(37308,plain,
% 9.46/6.98 (~always3(s234)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[6094, 37307])).
% 9.46/6.98 tff(37309,plain,
% 9.46/6.98 (~always3(s233)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[6106, 37308])).
% 9.46/6.98 tff(37310,plain,
% 9.46/6.98 (~always3(s232)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[6118, 37309])).
% 9.46/6.98 tff(37311,plain,
% 9.46/6.98 (~always3(s231)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[6130, 37310])).
% 9.46/6.98 tff(37312,plain,
% 9.46/6.98 (~always3(s230)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[6142, 37311])).
% 9.46/6.98 tff(37313,plain,
% 9.46/6.98 (~always3(s229)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[6154, 37312])).
% 9.46/6.98 tff(37314,plain,
% 9.46/6.98 (~always3(s228)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[6166, 37313])).
% 9.46/6.98 tff(37315,plain,
% 9.46/6.98 (~always3(s227)),
% 9.46/6.98 inference(unit_resolution,[status(thm)],[6178, 37314])).
% 9.46/6.98 tff(37316,plain,
% 9.46/6.98 (~always3(s226)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6190, 37315])).
% 9.54/6.98 tff(37317,plain,
% 9.54/6.98 (~always3(s225)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6202, 37316])).
% 9.54/6.98 tff(37318,plain,
% 9.54/6.98 (~always3(s224)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6214, 37317])).
% 9.54/6.98 tff(37319,plain,
% 9.54/6.98 (~always3(s223)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6226, 37318])).
% 9.54/6.98 tff(37320,plain,
% 9.54/6.98 (~always3(s222)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6238, 37319])).
% 9.54/6.98 tff(37321,plain,
% 9.54/6.98 (~always3(s221)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6250, 37320])).
% 9.54/6.98 tff(37322,plain,
% 9.54/6.98 (~always3(s220)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6262, 37321])).
% 9.54/6.98 tff(37323,plain,
% 9.54/6.98 (~always3(s219)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6274, 37322])).
% 9.54/6.98 tff(37324,plain,
% 9.54/6.98 (~always3(s218)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6286, 37323])).
% 9.54/6.98 tff(37325,plain,
% 9.54/6.98 (~always3(s217)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6298, 37324])).
% 9.54/6.98 tff(37326,plain,
% 9.54/6.98 (~node4(s217)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6302, 22, 37325])).
% 9.54/6.98 tff(37327,plain,
% 9.54/6.98 (~always3(s216)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6314, 37325])).
% 9.54/6.98 tff(37328,plain,
% 9.54/6.98 (~node4(s216)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6318, 22, 37327])).
% 9.54/6.98 tff(37329,plain,
% 9.54/6.98 (~always3(s215)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6331, 37327])).
% 9.54/6.98 tff(37330,plain,
% 9.54/6.98 (xuntil6(s215)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10898, 37329, 6320])).
% 9.54/6.98 tff(37331,plain,
% 9.54/6.98 (until5(s216)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10903, 37330])).
% 9.54/6.98 tff(37332,plain,
% 9.54/6.98 (xuntil6(s216) | node4(s216)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10910, 36, 37331])).
% 9.54/6.98 tff(37333,plain,
% 9.54/6.98 (xuntil6(s216)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37332, 37328])).
% 9.54/6.98 tff(37334,plain,
% 9.54/6.98 (until5(s217)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10916, 37333])).
% 9.54/6.98 tff(37335,plain,
% 9.54/6.98 (xuntil6(s217)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10923, 36, 37334, 37326])).
% 9.54/6.98 tff(37336,plain,
% 9.54/6.98 (until5(s218)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10928, 37335])).
% 9.54/6.98 tff(37337,plain,
% 9.54/6.98 (~node4(s218)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10932, 22, 37324])).
% 9.54/6.98 tff(37338,plain,
% 9.54/6.98 (xuntil6(s218) | (~until5(s218))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10939, 36, 37337])).
% 9.54/6.98 tff(37339,plain,
% 9.54/6.98 (xuntil6(s218)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37338, 37336])).
% 9.54/6.98 tff(37340,plain,
% 9.54/6.98 (until5(s219)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10945, 37339])).
% 9.54/6.98 tff(37341,plain,
% 9.54/6.98 (~node4(s219)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10949, 22, 37323])).
% 9.54/6.98 tff(37342,plain,
% 9.54/6.98 (xuntil6(s219) | (~until5(s219))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10956, 36, 37341])).
% 9.54/6.98 tff(37343,plain,
% 9.54/6.98 (xuntil6(s219)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37342, 37340])).
% 9.54/6.98 tff(37344,plain,
% 9.54/6.98 (until5(s220)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10962, 37343])).
% 9.54/6.98 tff(37345,plain,
% 9.54/6.98 (~node4(s220)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10966, 22, 37322])).
% 9.54/6.98 tff(37346,plain,
% 9.54/6.98 (xuntil6(s220) | (~until5(s220))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10973, 36, 37345])).
% 9.54/6.98 tff(37347,plain,
% 9.54/6.98 (xuntil6(s220)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37346, 37344])).
% 9.54/6.98 tff(37348,plain,
% 9.54/6.98 (until5(s221)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10979, 37347])).
% 9.54/6.98 tff(37349,plain,
% 9.54/6.98 (~node4(s221)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10983, 22, 37321])).
% 9.54/6.98 tff(37350,plain,
% 9.54/6.98 (xuntil6(s221) | (~until5(s221))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10990, 36, 37349])).
% 9.54/6.98 tff(37351,plain,
% 9.54/6.98 (xuntil6(s221)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37350, 37348])).
% 9.54/6.98 tff(37352,plain,
% 9.54/6.98 (until5(s222)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10996, 37351])).
% 9.54/6.98 tff(37353,plain,
% 9.54/6.98 (~node4(s222)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11000, 22, 37320])).
% 9.54/6.98 tff(37354,plain,
% 9.54/6.98 (xuntil6(s222) | (~until5(s222))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11007, 36, 37353])).
% 9.54/6.98 tff(37355,plain,
% 9.54/6.98 (xuntil6(s222)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37354, 37352])).
% 9.54/6.98 tff(37356,plain,
% 9.54/6.98 (until5(s223)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11013, 37355])).
% 9.54/6.98 tff(37357,plain,
% 9.54/6.98 (~node4(s223)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11017, 22, 37319])).
% 9.54/6.98 tff(37358,plain,
% 9.54/6.98 (xuntil6(s223) | (~until5(s223))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11024, 36, 37357])).
% 9.54/6.98 tff(37359,plain,
% 9.54/6.98 (xuntil6(s223)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37358, 37356])).
% 9.54/6.98 tff(37360,plain,
% 9.54/6.98 (until5(s224)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11030, 37359])).
% 9.54/6.98 tff(37361,plain,
% 9.54/6.98 (~node4(s224)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11034, 22, 37318])).
% 9.54/6.98 tff(37362,plain,
% 9.54/6.98 (xuntil6(s224) | (~until5(s224))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11041, 36, 37361])).
% 9.54/6.98 tff(37363,plain,
% 9.54/6.98 (xuntil6(s224)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37362, 37360])).
% 9.54/6.98 tff(37364,plain,
% 9.54/6.98 (until5(s225)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11047, 37363])).
% 9.54/6.98 tff(37365,plain,
% 9.54/6.98 (~node4(s225)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11051, 22, 37317])).
% 9.54/6.98 tff(37366,plain,
% 9.54/6.98 (xuntil6(s225) | (~until5(s225))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11058, 36, 37365])).
% 9.54/6.98 tff(37367,plain,
% 9.54/6.98 (xuntil6(s225)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37366, 37364])).
% 9.54/6.98 tff(37368,plain,
% 9.54/6.98 (until5(s226)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11064, 37367])).
% 9.54/6.98 tff(37369,plain,
% 9.54/6.98 (~node4(s226)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11068, 22, 37316])).
% 9.54/6.98 tff(37370,plain,
% 9.54/6.98 (xuntil6(s226) | (~until5(s226))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11075, 36, 37369])).
% 9.54/6.98 tff(37371,plain,
% 9.54/6.98 (xuntil6(s226)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37370, 37368])).
% 9.54/6.98 tff(37372,plain,
% 9.54/6.98 (until5(s227)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11081, 37371])).
% 9.54/6.98 tff(37373,plain,
% 9.54/6.98 (~node4(s227)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11085, 22, 37315])).
% 9.54/6.98 tff(37374,plain,
% 9.54/6.98 (xuntil6(s227) | (~until5(s227))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11092, 36, 37373])).
% 9.54/6.98 tff(37375,plain,
% 9.54/6.98 (xuntil6(s227)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37374, 37372])).
% 9.54/6.98 tff(37376,plain,
% 9.54/6.98 (until5(s228)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11098, 37375])).
% 9.54/6.98 tff(37377,plain,
% 9.54/6.98 (~node4(s228)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11102, 22, 37314])).
% 9.54/6.98 tff(37378,plain,
% 9.54/6.98 (xuntil6(s228) | (~until5(s228))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11109, 36, 37377])).
% 9.54/6.98 tff(37379,plain,
% 9.54/6.98 (xuntil6(s228)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37378, 37376])).
% 9.54/6.98 tff(37380,plain,
% 9.54/6.98 (until5(s229)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11115, 37379])).
% 9.54/6.98 tff(37381,plain,
% 9.54/6.98 (~node4(s229)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11119, 22, 37313])).
% 9.54/6.98 tff(37382,plain,
% 9.54/6.98 (xuntil6(s229) | (~until5(s229))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11126, 36, 37381])).
% 9.54/6.98 tff(37383,plain,
% 9.54/6.98 (xuntil6(s229)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37382, 37380])).
% 9.54/6.98 tff(37384,plain,
% 9.54/6.98 (until5(s230)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11132, 37383])).
% 9.54/6.98 tff(37385,plain,
% 9.54/6.98 (~node4(s230)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11136, 22, 37312])).
% 9.54/6.98 tff(37386,plain,
% 9.54/6.98 (xuntil6(s230) | (~until5(s230))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11143, 36, 37385])).
% 9.54/6.98 tff(37387,plain,
% 9.54/6.98 (xuntil6(s230)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37386, 37384])).
% 9.54/6.98 tff(37388,plain,
% 9.54/6.98 (until5(s231)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11149, 37387])).
% 9.54/6.98 tff(37389,plain,
% 9.54/6.98 (~node4(s231)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11153, 22, 37311])).
% 9.54/6.98 tff(37390,plain,
% 9.54/6.98 (xuntil6(s231) | (~until5(s231))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11160, 36, 37389])).
% 9.54/6.98 tff(37391,plain,
% 9.54/6.98 (xuntil6(s231)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37390, 37388])).
% 9.54/6.98 tff(37392,plain,
% 9.54/6.98 (until5(s232)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11166, 37391])).
% 9.54/6.98 tff(37393,plain,
% 9.54/6.98 (~node4(s232)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11170, 22, 37310])).
% 9.54/6.98 tff(37394,plain,
% 9.54/6.98 (xuntil6(s232) | (~until5(s232))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11177, 36, 37393])).
% 9.54/6.98 tff(37395,plain,
% 9.54/6.98 (xuntil6(s232)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37394, 37392])).
% 9.54/6.98 tff(37396,plain,
% 9.54/6.98 (until5(s233)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11183, 37395])).
% 9.54/6.98 tff(37397,plain,
% 9.54/6.98 (~node4(s233)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11187, 22, 37309])).
% 9.54/6.98 tff(37398,plain,
% 9.54/6.98 (xuntil6(s233) | (~until5(s233))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11194, 36, 37397])).
% 9.54/6.98 tff(37399,plain,
% 9.54/6.98 (xuntil6(s233)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37398, 37396])).
% 9.54/6.98 tff(37400,plain,
% 9.54/6.98 (until5(s234)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11200, 37399])).
% 9.54/6.98 tff(37401,plain,
% 9.54/6.98 (~node4(s234)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11204, 22, 37308])).
% 9.54/6.98 tff(37402,plain,
% 9.54/6.98 (xuntil6(s234) | (~until5(s234))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11211, 36, 37401])).
% 9.54/6.98 tff(37403,plain,
% 9.54/6.98 (xuntil6(s234)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37402, 37400])).
% 9.54/6.98 tff(37404,plain,
% 9.54/6.98 (until5(s235)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11217, 37403])).
% 9.54/6.98 tff(37405,plain,
% 9.54/6.98 (~node4(s235)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11221, 22, 37307])).
% 9.54/6.98 tff(37406,plain,
% 9.54/6.98 (xuntil6(s235) | (~until5(s235))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11228, 36, 37405])).
% 9.54/6.98 tff(37407,plain,
% 9.54/6.98 (xuntil6(s235)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37406, 37404])).
% 9.54/6.98 tff(37408,plain,
% 9.54/6.98 (until5(s236)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11234, 37407])).
% 9.54/6.98 tff(37409,plain,
% 9.54/6.98 (~node4(s236)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11238, 22, 37306])).
% 9.54/6.98 tff(37410,plain,
% 9.54/6.98 (xuntil6(s236) | (~until5(s236))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11245, 36, 37409])).
% 9.54/6.98 tff(37411,plain,
% 9.54/6.98 (xuntil6(s236)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37410, 37408])).
% 9.54/6.98 tff(37412,plain,
% 9.54/6.98 (until5(s237)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11251, 37411])).
% 9.54/6.98 tff(37413,plain,
% 9.54/6.98 (~node4(s237)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11255, 22, 37305])).
% 9.54/6.98 tff(37414,plain,
% 9.54/6.98 (xuntil6(s237) | (~until5(s237))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11262, 36, 37413])).
% 9.54/6.98 tff(37415,plain,
% 9.54/6.98 (xuntil6(s237)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37414, 37412])).
% 9.54/6.98 tff(37416,plain,
% 9.54/6.98 (until5(s238)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11268, 37415])).
% 9.54/6.98 tff(37417,plain,
% 9.54/6.98 (~node4(s238)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11272, 22, 37304])).
% 9.54/6.98 tff(37418,plain,
% 9.54/6.98 (xuntil6(s238) | (~until5(s238))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11279, 36, 37417])).
% 9.54/6.98 tff(37419,plain,
% 9.54/6.98 (xuntil6(s238)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37418, 37416])).
% 9.54/6.98 tff(37420,plain,
% 9.54/6.98 ($false),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11285, 37419, 37303])).
% 9.54/6.98 tff(37421,plain,(always3(s261) | node4(s253) | xuntil6(s261) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.54/6.98 tff(37422,plain,
% 9.54/6.98 (always3(s261)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37421, 37191, 6320, 35006])).
% 9.54/6.98 tff(37423,plain,
% 9.54/6.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s261)) | (~m_main_v_state(s261, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s261)) | (~m_main_v_state(s261, c_busy)))),
% 9.54/6.98 inference(rewrite,[status(thm)],[])).
% 9.54/6.98 tff(37424,plain,
% 9.54/6.98 (((~m_main_v_state(s261, c_busy)) | (~always3(s261))) <=> ((~always3(s261)) | (~m_main_v_state(s261, c_busy)))),
% 9.54/6.98 inference(rewrite,[status(thm)],[])).
% 9.54/6.98 tff(37425,plain,
% 9.54/6.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s261, c_busy)) | (~always3(s261)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s261)) | (~m_main_v_state(s261, c_busy))))),
% 9.54/6.98 inference(monotonicity,[status(thm)],[37424])).
% 9.54/6.98 tff(37426,plain,
% 9.54/6.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s261, c_busy)) | (~always3(s261)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s261)) | (~m_main_v_state(s261, c_busy)))),
% 9.54/6.98 inference(transitivity,[status(thm)],[37425, 37423])).
% 9.54/6.98 tff(37427,plain,
% 9.54/6.98 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s261, c_busy)) | (~always3(s261)))),
% 9.54/6.98 inference(quant_inst,[status(thm)],[])).
% 9.54/6.98 tff(37428,plain,
% 9.54/6.98 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s261)) | (~m_main_v_state(s261, c_busy))),
% 9.54/6.98 inference(modus_ponens,[status(thm)],[37427, 37426])).
% 9.54/6.98 tff(37429,plain,
% 9.54/6.98 (~m_main_v_state(s261, c_busy)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37428, 170, 37422])).
% 9.54/6.98 tff(37430,assumption,(~m_main_v_state(s261, c_busy)), introduced(assumption)).
% 9.54/6.98 tff(37431,assumption,(node4(s260)), introduced(assumption)).
% 9.54/6.98 tff(37432,plain,
% 9.54/6.98 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s260) | (~node4(s260)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s260) | (~node4(s260)))),
% 9.54/6.98 inference(rewrite,[status(thm)],[])).
% 9.54/6.98 tff(37433,plain,
% 9.54/6.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s260) | (~node4(s260)))),
% 9.54/6.98 inference(quant_inst,[status(thm)],[])).
% 9.54/6.98 tff(37434,plain,
% 9.54/6.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s260) | (~node4(s260))),
% 9.54/6.98 inference(modus_ponens,[status(thm)],[37433, 37432])).
% 9.54/6.98 tff(37435,plain,
% 9.54/6.98 (m_main_v_request(s260)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37434, 154, 37431])).
% 9.54/6.98 tff(37436,plain,
% 9.54/6.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s260, s261)) | node2(s260, s261))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s260, s261)) | node2(s260, s261))),
% 9.54/6.98 inference(rewrite,[status(thm)],[])).
% 9.54/6.98 tff(37437,plain,
% 9.54/6.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s260, s261)) | node2(s260, s261))),
% 9.54/6.98 inference(quant_inst,[status(thm)],[])).
% 9.54/6.98 tff(37438,plain,
% 9.54/6.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s260, s261)) | node2(s260, s261)),
% 9.54/6.98 inference(modus_ponens,[status(thm)],[37437, 37436])).
% 9.54/6.98 tff(37439,plain,
% 9.54/6.98 (node2(s260, s261)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37438, 7, 5789])).
% 9.54/6.98 tff(37440,plain,
% 9.54/6.98 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s260, c_ready)) | (~node2(s260, s261)) | m_main_v_state(s261, c_busy) | (~m_main_v_request(s260)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s260, c_ready)) | (~node2(s260, s261)) | m_main_v_state(s261, c_busy) | (~m_main_v_request(s260)))),
% 9.54/6.98 inference(rewrite,[status(thm)],[])).
% 9.54/6.98 tff(37441,plain,
% 9.54/6.98 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s260, c_ready)) | (~node2(s260, s261)) | m_main_v_state(s261, c_busy) | (~m_main_v_request(s260)))),
% 9.54/6.98 inference(quant_inst,[status(thm)],[])).
% 9.54/6.98 tff(37442,plain,
% 9.54/6.98 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s260, c_ready)) | (~node2(s260, s261)) | m_main_v_state(s261, c_busy) | (~m_main_v_request(s260))),
% 9.54/6.98 inference(modus_ponens,[status(thm)],[37441, 37440])).
% 9.54/6.98 tff(37443,plain,
% 9.54/6.98 ((~m_main_v_state(s260, c_ready)) | m_main_v_state(s261, c_busy) | (~m_main_v_request(s260))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37442, 191, 37439])).
% 9.54/6.98 tff(37444,plain,
% 9.54/6.98 (~m_main_v_state(s260, c_ready)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37443, 37435, 37430])).
% 9.54/6.98 tff(37445,plain,
% 9.54/6.98 (always3(s260)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11643, 22, 37431])).
% 9.54/6.98 tff(37446,plain,
% 9.54/6.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s260)) | (~m_main_v_state(s260, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s260)) | (~m_main_v_state(s260, c_busy)))),
% 9.54/6.98 inference(rewrite,[status(thm)],[])).
% 9.54/6.98 tff(37447,plain,
% 9.54/6.98 (((~m_main_v_state(s260, c_busy)) | (~always3(s260))) <=> ((~always3(s260)) | (~m_main_v_state(s260, c_busy)))),
% 9.54/6.98 inference(rewrite,[status(thm)],[])).
% 9.54/6.98 tff(37448,plain,
% 9.54/6.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s260, c_busy)) | (~always3(s260)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s260)) | (~m_main_v_state(s260, c_busy))))),
% 9.54/6.98 inference(monotonicity,[status(thm)],[37447])).
% 9.54/6.98 tff(37449,plain,
% 9.54/6.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s260, c_busy)) | (~always3(s260)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s260)) | (~m_main_v_state(s260, c_busy)))),
% 9.54/6.98 inference(transitivity,[status(thm)],[37448, 37446])).
% 9.54/6.98 tff(37450,plain,
% 9.54/6.98 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s260, c_busy)) | (~always3(s260)))),
% 9.54/6.98 inference(quant_inst,[status(thm)],[])).
% 9.54/6.98 tff(37451,plain,
% 9.54/6.98 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s260)) | (~m_main_v_state(s260, c_busy))),
% 9.54/6.98 inference(modus_ponens,[status(thm)],[37450, 37449])).
% 9.54/6.98 tff(37452,plain,
% 9.54/6.98 (~m_main_v_state(s260, c_busy)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37451, 170, 37445])).
% 9.54/6.98 tff(37453,plain,
% 9.54/6.98 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s260, c_busy) | m_main_v_state(s260, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s260, c_busy) | m_main_v_state(s260, c_ready))),
% 9.54/6.98 inference(rewrite,[status(thm)],[])).
% 9.54/6.98 tff(37454,plain,
% 9.54/6.98 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s260, c_busy) | m_main_v_state(s260, c_ready))),
% 9.54/6.98 inference(quant_inst,[status(thm)],[])).
% 9.54/6.98 tff(37455,plain,
% 9.54/6.98 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s260, c_busy) | m_main_v_state(s260, c_ready)),
% 9.54/6.98 inference(modus_ponens,[status(thm)],[37454, 37453])).
% 9.54/6.98 tff(37456,plain,
% 9.54/6.98 ($false),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37455, 213, 37452, 37444])).
% 9.54/6.98 tff(37457,plain,((~node4(s260)) | m_main_v_state(s261, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.54/6.98 tff(37458,plain,
% 9.54/6.98 (~node4(s260)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37457, 37429])).
% 9.54/6.98 tff(37459,plain,
% 9.54/6.98 (always3(s262)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[5781, 37422])).
% 9.54/6.98 tff(37460,plain,
% 9.54/6.98 (~m_main_v_state(s262, c_busy)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37183, 170, 37459])).
% 9.54/6.98 tff(37461,plain,
% 9.54/6.98 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s261, c_busy) | m_main_v_state(s261, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s261, c_busy) | m_main_v_state(s261, c_ready))),
% 9.54/6.98 inference(rewrite,[status(thm)],[])).
% 9.54/6.98 tff(37462,plain,
% 9.54/6.98 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s261, c_busy) | m_main_v_state(s261, c_ready))),
% 9.54/6.98 inference(quant_inst,[status(thm)],[])).
% 9.54/6.98 tff(37463,plain,
% 9.54/6.98 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s261, c_busy) | m_main_v_state(s261, c_ready)),
% 9.54/6.98 inference(modus_ponens,[status(thm)],[37462, 37461])).
% 9.54/6.98 tff(37464,plain,
% 9.54/6.98 (m_main_v_state(s261, c_ready)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37463, 213, 37429])).
% 9.54/6.98 tff(37465,plain,
% 9.54/6.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s261, s262)) | node2(s261, s262))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s261, s262)) | node2(s261, s262))),
% 9.54/6.98 inference(rewrite,[status(thm)],[])).
% 9.54/6.98 tff(37466,plain,
% 9.54/6.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s261, s262)) | node2(s261, s262))),
% 9.54/6.98 inference(quant_inst,[status(thm)],[])).
% 9.54/6.98 tff(37467,plain,
% 9.54/6.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s261, s262)) | node2(s261, s262)),
% 9.54/6.98 inference(modus_ponens,[status(thm)],[37466, 37465])).
% 9.54/6.98 tff(37468,plain,
% 9.54/6.98 (node2(s261, s262)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37467, 7, 5777])).
% 9.54/6.98 tff(37469,plain,
% 9.54/6.98 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s261, c_ready)) | (~node2(s261, s262)) | m_main_v_state(s262, c_busy) | (~m_main_v_request(s261)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s261, c_ready)) | (~node2(s261, s262)) | m_main_v_state(s262, c_busy) | (~m_main_v_request(s261)))),
% 9.54/6.98 inference(rewrite,[status(thm)],[])).
% 9.54/6.98 tff(37470,plain,
% 9.54/6.98 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s261, c_ready)) | (~node2(s261, s262)) | m_main_v_state(s262, c_busy) | (~m_main_v_request(s261)))),
% 9.54/6.98 inference(quant_inst,[status(thm)],[])).
% 9.54/6.98 tff(37471,plain,
% 9.54/6.98 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s261, c_ready)) | (~node2(s261, s262)) | m_main_v_state(s262, c_busy) | (~m_main_v_request(s261))),
% 9.54/6.98 inference(modus_ponens,[status(thm)],[37470, 37469])).
% 9.54/6.98 tff(37472,plain,
% 9.54/6.98 ((~m_main_v_state(s261, c_ready)) | m_main_v_state(s262, c_busy) | (~m_main_v_request(s261))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37471, 191, 37468])).
% 9.54/6.98 tff(37473,plain,
% 9.54/6.98 (~m_main_v_request(s261)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37472, 37464, 37460])).
% 9.54/6.98 tff(37474,plain,
% 9.54/6.98 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s261) | (~node4(s261)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s261) | (~node4(s261)))),
% 9.54/6.98 inference(rewrite,[status(thm)],[])).
% 9.54/6.98 tff(37475,plain,
% 9.54/6.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s261) | (~node4(s261)))),
% 9.54/6.98 inference(quant_inst,[status(thm)],[])).
% 9.54/6.98 tff(37476,plain,
% 9.54/6.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s261) | (~node4(s261))),
% 9.54/6.98 inference(modus_ponens,[status(thm)],[37475, 37474])).
% 9.54/6.98 tff(37477,plain,
% 9.54/6.98 (~node4(s261)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37476, 154, 37473])).
% 9.54/6.98 tff(37478,plain,
% 9.54/6.98 (node4(s261) | (~until5(s261))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11667, 36, 37191])).
% 9.54/6.98 tff(37479,plain,
% 9.54/6.98 (~until5(s261)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37478, 37477])).
% 9.54/6.98 tff(37480,plain,
% 9.54/6.98 (~xuntil6(s260)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11656, 37479])).
% 9.54/6.98 tff(37481,plain,
% 9.54/6.98 (~until5(s260)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11650, 36, 37480, 37458])).
% 9.54/6.98 tff(37482,plain,
% 9.54/6.98 (~xuntil6(s259)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11639, 37481])).
% 9.54/6.98 tff(37483,assumption,(~always3(s259)), introduced(assumption)).
% 9.54/6.98 tff(37484,plain,
% 9.54/6.98 (~always3(s258)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[5817, 37483])).
% 9.54/6.98 tff(37485,plain,
% 9.54/6.98 (~node4(s258)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11609, 22, 37484])).
% 9.54/6.98 tff(37486,plain,
% 9.54/6.98 (~node4(s259)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11626, 22, 37483])).
% 9.54/6.98 tff(37487,assumption,(~xuntil6(s259)), introduced(assumption)).
% 9.54/6.98 tff(37488,plain,
% 9.54/6.98 (node4(s259) | (~until5(s259))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11633, 36, 37487])).
% 9.54/6.98 tff(37489,plain,
% 9.54/6.98 (~until5(s259)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37488, 37486])).
% 9.54/6.98 tff(37490,plain,
% 9.54/6.98 (~xuntil6(s258)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11622, 37489])).
% 9.54/6.98 tff(37491,plain,
% 9.54/6.98 (~until5(s258)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11616, 36, 37490, 37485])).
% 9.54/6.98 tff(37492,plain,
% 9.54/6.98 (~xuntil6(s257)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11605, 37491])).
% 9.54/6.98 tff(37493,plain,
% 9.54/6.98 (~always3(s257)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[5829, 37484])).
% 9.54/6.98 tff(37494,plain,
% 9.54/6.98 (~node4(s257)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11592, 22, 37493])).
% 9.54/6.98 tff(37495,plain,
% 9.54/6.98 (xuntil6(s257) | (~until5(s257))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11599, 36, 37494])).
% 9.54/6.98 tff(37496,plain,
% 9.54/6.98 (~until5(s257)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37495, 37492])).
% 9.54/6.98 tff(37497,plain,
% 9.54/6.98 (~xuntil6(s256)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11588, 37496])).
% 9.54/6.98 tff(37498,plain,
% 9.54/6.98 (~always3(s256)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[5841, 37493])).
% 9.54/6.98 tff(37499,plain,
% 9.54/6.98 (~node4(s256)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11575, 22, 37498])).
% 9.54/6.98 tff(37500,plain,
% 9.54/6.98 (xuntil6(s256) | (~until5(s256))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11582, 36, 37499])).
% 9.54/6.98 tff(37501,plain,
% 9.54/6.98 (~until5(s256)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37500, 37497])).
% 9.54/6.98 tff(37502,plain,
% 9.54/6.98 (~xuntil6(s255)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11571, 37501])).
% 9.54/6.98 tff(37503,plain,
% 9.54/6.98 (~always3(s255)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[5853, 37498])).
% 9.54/6.98 tff(37504,plain,
% 9.54/6.98 (~node4(s255)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11558, 22, 37503])).
% 9.54/6.98 tff(37505,plain,
% 9.54/6.98 (xuntil6(s255) | (~until5(s255))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11565, 36, 37504])).
% 9.54/6.98 tff(37506,plain,
% 9.54/6.98 (~until5(s255)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37505, 37502])).
% 9.54/6.98 tff(37507,plain,
% 9.54/6.98 (~xuntil6(s254)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11554, 37506])).
% 9.54/6.98 tff(37508,plain,
% 9.54/6.98 (~always3(s254)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[5865, 37503])).
% 9.54/6.98 tff(37509,plain,
% 9.54/6.98 (~node4(s254)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11541, 22, 37508])).
% 9.54/6.98 tff(37510,plain,
% 9.54/6.98 (xuntil6(s254) | (~until5(s254))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11548, 36, 37509])).
% 9.54/6.98 tff(37511,plain,
% 9.54/6.98 (~until5(s254)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37510, 37507])).
% 9.54/6.98 tff(37512,plain,
% 9.54/6.98 (~xuntil6(s253)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11537, 37511])).
% 9.54/6.98 tff(37513,plain,
% 9.54/6.98 (~until5(s253)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11532, 37512])).
% 9.54/6.98 tff(37514,plain,
% 9.54/6.98 (~xuntil6(s252)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11523, 37513])).
% 9.54/6.98 tff(37515,plain,
% 9.54/6.98 (~always3(s253)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[5092, 37508])).
% 9.54/6.98 tff(37516,plain,
% 9.54/6.98 (~always3(s252)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[5878, 37515])).
% 9.54/6.98 tff(37517,plain,
% 9.54/6.98 (~node4(s252)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11510, 22, 37516])).
% 9.54/6.98 tff(37518,plain,
% 9.54/6.98 (xuntil6(s252) | (~until5(s252))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11517, 36, 37517])).
% 9.54/6.98 tff(37519,plain,
% 9.54/6.98 (~until5(s252)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37518, 37514])).
% 9.54/6.98 tff(37520,plain,
% 9.54/6.98 (~xuntil6(s251)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11506, 37519])).
% 9.54/6.98 tff(37521,plain,
% 9.54/6.98 (~always3(s251)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[5890, 37516])).
% 9.54/6.98 tff(37522,plain,
% 9.54/6.98 (~node4(s251)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11493, 22, 37521])).
% 9.54/6.98 tff(37523,plain,
% 9.54/6.98 (xuntil6(s251) | (~until5(s251))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11500, 36, 37522])).
% 9.54/6.98 tff(37524,plain,
% 9.54/6.98 (~until5(s251)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37523, 37520])).
% 9.54/6.98 tff(37525,plain,
% 9.54/6.98 (~xuntil6(s250)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11489, 37524])).
% 9.54/6.98 tff(37526,plain,
% 9.54/6.98 (~always3(s250)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[5902, 37521])).
% 9.54/6.98 tff(37527,plain,
% 9.54/6.98 (~node4(s250)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11476, 22, 37526])).
% 9.54/6.98 tff(37528,plain,
% 9.54/6.98 (xuntil6(s250) | (~until5(s250))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11483, 36, 37527])).
% 9.54/6.98 tff(37529,plain,
% 9.54/6.98 (~until5(s250)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37528, 37525])).
% 9.54/6.98 tff(37530,plain,
% 9.54/6.98 (~xuntil6(s249)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11472, 37529])).
% 9.54/6.98 tff(37531,plain,
% 9.54/6.98 (~always3(s249)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[5914, 37526])).
% 9.54/6.98 tff(37532,plain,
% 9.54/6.98 (~node4(s249)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11459, 22, 37531])).
% 9.54/6.98 tff(37533,plain,
% 9.54/6.98 (xuntil6(s249) | (~until5(s249))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11466, 36, 37532])).
% 9.54/6.98 tff(37534,plain,
% 9.54/6.98 (~until5(s249)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37533, 37530])).
% 9.54/6.98 tff(37535,plain,
% 9.54/6.98 (~xuntil6(s248)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11455, 37534])).
% 9.54/6.98 tff(37536,plain,
% 9.54/6.98 (~always3(s248)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[5926, 37531])).
% 9.54/6.98 tff(37537,plain,
% 9.54/6.98 (~node4(s248)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11442, 22, 37536])).
% 9.54/6.98 tff(37538,plain,
% 9.54/6.98 (xuntil6(s248) | (~until5(s248))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11449, 36, 37537])).
% 9.54/6.98 tff(37539,plain,
% 9.54/6.98 (~until5(s248)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37538, 37535])).
% 9.54/6.98 tff(37540,plain,
% 9.54/6.98 (~xuntil6(s247)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11438, 37539])).
% 9.54/6.98 tff(37541,plain,
% 9.54/6.98 (~always3(s247)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[5938, 37536])).
% 9.54/6.98 tff(37542,plain,
% 9.54/6.98 (~node4(s247)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11425, 22, 37541])).
% 9.54/6.98 tff(37543,plain,
% 9.54/6.98 (xuntil6(s247) | (~until5(s247))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11432, 36, 37542])).
% 9.54/6.98 tff(37544,plain,
% 9.54/6.98 (~until5(s247)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37543, 37540])).
% 9.54/6.98 tff(37545,plain,
% 9.54/6.98 (~xuntil6(s246)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11421, 37544])).
% 9.54/6.98 tff(37546,plain,
% 9.54/6.98 (~always3(s246)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[5950, 37541])).
% 9.54/6.98 tff(37547,plain,
% 9.54/6.98 (~node4(s246)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11408, 22, 37546])).
% 9.54/6.98 tff(37548,plain,
% 9.54/6.98 (xuntil6(s246) | (~until5(s246))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11415, 36, 37547])).
% 9.54/6.98 tff(37549,plain,
% 9.54/6.98 (~until5(s246)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37548, 37545])).
% 9.54/6.98 tff(37550,plain,
% 9.54/6.98 (~xuntil6(s245)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11404, 37549])).
% 9.54/6.98 tff(37551,plain,
% 9.54/6.98 (~always3(s245)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[5962, 37546])).
% 9.54/6.98 tff(37552,plain,
% 9.54/6.98 (~node4(s245)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11391, 22, 37551])).
% 9.54/6.98 tff(37553,plain,
% 9.54/6.98 (xuntil6(s245) | (~until5(s245))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11398, 36, 37552])).
% 9.54/6.98 tff(37554,plain,
% 9.54/6.98 (~until5(s245)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37553, 37550])).
% 9.54/6.98 tff(37555,plain,
% 9.54/6.98 (~xuntil6(s244)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11387, 37554])).
% 9.54/6.98 tff(37556,plain,
% 9.54/6.98 (~always3(s244)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[5974, 37551])).
% 9.54/6.98 tff(37557,plain,
% 9.54/6.98 (~node4(s244)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11374, 22, 37556])).
% 9.54/6.98 tff(37558,plain,
% 9.54/6.98 (xuntil6(s244) | (~until5(s244))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11381, 36, 37557])).
% 9.54/6.98 tff(37559,plain,
% 9.54/6.98 (~until5(s244)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37558, 37555])).
% 9.54/6.98 tff(37560,plain,
% 9.54/6.98 (~xuntil6(s243)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11370, 37559])).
% 9.54/6.98 tff(37561,plain,
% 9.54/6.98 (~always3(s243)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[5986, 37556])).
% 9.54/6.98 tff(37562,plain,
% 9.54/6.98 (~node4(s243)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11357, 22, 37561])).
% 9.54/6.98 tff(37563,plain,
% 9.54/6.98 (xuntil6(s243) | (~until5(s243))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11364, 36, 37562])).
% 9.54/6.98 tff(37564,plain,
% 9.54/6.98 (~until5(s243)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37563, 37560])).
% 9.54/6.98 tff(37565,plain,
% 9.54/6.98 (~xuntil6(s242)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11353, 37564])).
% 9.54/6.98 tff(37566,plain,
% 9.54/6.98 (~always3(s242)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[5998, 37561])).
% 9.54/6.98 tff(37567,plain,
% 9.54/6.98 (~node4(s242)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11340, 22, 37566])).
% 9.54/6.98 tff(37568,plain,
% 9.54/6.98 (xuntil6(s242) | (~until5(s242))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11347, 36, 37567])).
% 9.54/6.98 tff(37569,plain,
% 9.54/6.98 (~until5(s242)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37568, 37565])).
% 9.54/6.98 tff(37570,plain,
% 9.54/6.98 (~xuntil6(s241)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11336, 37569])).
% 9.54/6.98 tff(37571,plain,
% 9.54/6.98 (~always3(s241)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6010, 37566])).
% 9.54/6.98 tff(37572,plain,
% 9.54/6.98 (~node4(s241)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11323, 22, 37571])).
% 9.54/6.98 tff(37573,plain,
% 9.54/6.98 (xuntil6(s241) | (~until5(s241))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11330, 36, 37572])).
% 9.54/6.98 tff(37574,plain,
% 9.54/6.98 (~until5(s241)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37573, 37570])).
% 9.54/6.98 tff(37575,plain,
% 9.54/6.98 (~xuntil6(s240)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11319, 37574])).
% 9.54/6.98 tff(37576,plain,
% 9.54/6.98 (~always3(s240)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6022, 37571])).
% 9.54/6.98 tff(37577,plain,
% 9.54/6.98 (~node4(s240)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11306, 22, 37576])).
% 9.54/6.98 tff(37578,plain,
% 9.54/6.98 (xuntil6(s240) | (~until5(s240))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11313, 36, 37577])).
% 9.54/6.98 tff(37579,plain,
% 9.54/6.98 (~until5(s240)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37578, 37575])).
% 9.54/6.98 tff(37580,plain,
% 9.54/6.98 (~xuntil6(s239)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11302, 37579])).
% 9.54/6.98 tff(37581,plain,
% 9.54/6.98 (~always3(s239)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6034, 37576])).
% 9.54/6.98 tff(37582,plain,
% 9.54/6.98 (~node4(s239)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11289, 22, 37581])).
% 9.54/6.98 tff(37583,plain,
% 9.54/6.98 (xuntil6(s239) | (~until5(s239))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11296, 36, 37582])).
% 9.54/6.98 tff(37584,plain,
% 9.54/6.98 (~until5(s239)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37583, 37580])).
% 9.54/6.98 tff(37585,plain,
% 9.54/6.98 (~xuntil6(s238)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11285, 37584])).
% 9.54/6.98 tff(37586,plain,
% 9.54/6.98 (~always3(s238)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6046, 37581])).
% 9.54/6.98 tff(37587,plain,
% 9.54/6.98 (~node4(s238)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11272, 22, 37586])).
% 9.54/6.98 tff(37588,plain,
% 9.54/6.98 (xuntil6(s238) | (~until5(s238))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11279, 36, 37587])).
% 9.54/6.98 tff(37589,plain,
% 9.54/6.98 (~until5(s238)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37588, 37585])).
% 9.54/6.98 tff(37590,plain,
% 9.54/6.98 (~always3(s237)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6058, 37586])).
% 9.54/6.98 tff(37591,plain,
% 9.54/6.98 (~always3(s236)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6070, 37590])).
% 9.54/6.98 tff(37592,plain,
% 9.54/6.98 (~always3(s235)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6082, 37591])).
% 9.54/6.98 tff(37593,plain,
% 9.54/6.98 (~always3(s234)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6094, 37592])).
% 9.54/6.98 tff(37594,plain,
% 9.54/6.98 (~always3(s233)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6106, 37593])).
% 9.54/6.98 tff(37595,plain,
% 9.54/6.98 (~always3(s232)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6118, 37594])).
% 9.54/6.98 tff(37596,plain,
% 9.54/6.98 (~always3(s231)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6130, 37595])).
% 9.54/6.98 tff(37597,plain,
% 9.54/6.98 (~always3(s230)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6142, 37596])).
% 9.54/6.98 tff(37598,plain,
% 9.54/6.98 (~always3(s229)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6154, 37597])).
% 9.54/6.98 tff(37599,plain,
% 9.54/6.98 (~always3(s228)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6166, 37598])).
% 9.54/6.98 tff(37600,plain,
% 9.54/6.98 (~always3(s227)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6178, 37599])).
% 9.54/6.98 tff(37601,plain,
% 9.54/6.98 (~always3(s226)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6190, 37600])).
% 9.54/6.98 tff(37602,plain,
% 9.54/6.98 (~always3(s225)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6202, 37601])).
% 9.54/6.98 tff(37603,plain,
% 9.54/6.98 (~always3(s224)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6214, 37602])).
% 9.54/6.98 tff(37604,plain,
% 9.54/6.98 (~always3(s223)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6226, 37603])).
% 9.54/6.98 tff(37605,plain,
% 9.54/6.98 (~always3(s222)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6238, 37604])).
% 9.54/6.98 tff(37606,plain,
% 9.54/6.98 (~always3(s221)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6250, 37605])).
% 9.54/6.98 tff(37607,plain,
% 9.54/6.98 (~always3(s220)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6262, 37606])).
% 9.54/6.98 tff(37608,plain,
% 9.54/6.98 (~always3(s219)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6274, 37607])).
% 9.54/6.98 tff(37609,plain,
% 9.54/6.98 (~always3(s218)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6286, 37608])).
% 9.54/6.98 tff(37610,plain,
% 9.54/6.98 (~always3(s217)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6298, 37609])).
% 9.54/6.98 tff(37611,plain,
% 9.54/6.98 (~node4(s217)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6302, 22, 37610])).
% 9.54/6.98 tff(37612,plain,
% 9.54/6.98 (~always3(s216)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6314, 37610])).
% 9.54/6.98 tff(37613,plain,
% 9.54/6.98 (~node4(s216)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6318, 22, 37612])).
% 9.54/6.98 tff(37614,plain,
% 9.54/6.98 (~always3(s215)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[6331, 37612])).
% 9.54/6.98 tff(37615,plain,
% 9.54/6.98 (xuntil6(s215)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10898, 37614, 6320])).
% 9.54/6.98 tff(37616,plain,
% 9.54/6.98 (until5(s216)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10903, 37615])).
% 9.54/6.98 tff(37617,plain,
% 9.54/6.98 (xuntil6(s216) | node4(s216)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10910, 36, 37616])).
% 9.54/6.98 tff(37618,plain,
% 9.54/6.98 (xuntil6(s216)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37617, 37613])).
% 9.54/6.98 tff(37619,plain,
% 9.54/6.98 (until5(s217)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10916, 37618])).
% 9.54/6.98 tff(37620,plain,
% 9.54/6.98 (xuntil6(s217)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10923, 36, 37619, 37611])).
% 9.54/6.98 tff(37621,plain,
% 9.54/6.98 (until5(s218)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10928, 37620])).
% 9.54/6.98 tff(37622,plain,
% 9.54/6.98 (~node4(s218)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10932, 22, 37609])).
% 9.54/6.98 tff(37623,plain,
% 9.54/6.98 (xuntil6(s218) | (~until5(s218))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10939, 36, 37622])).
% 9.54/6.98 tff(37624,plain,
% 9.54/6.98 (xuntil6(s218)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37623, 37621])).
% 9.54/6.98 tff(37625,plain,
% 9.54/6.98 (until5(s219)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10945, 37624])).
% 9.54/6.98 tff(37626,plain,
% 9.54/6.98 (~node4(s219)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10949, 22, 37608])).
% 9.54/6.98 tff(37627,plain,
% 9.54/6.98 (xuntil6(s219) | (~until5(s219))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10956, 36, 37626])).
% 9.54/6.98 tff(37628,plain,
% 9.54/6.98 (xuntil6(s219)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37627, 37625])).
% 9.54/6.98 tff(37629,plain,
% 9.54/6.98 (until5(s220)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10962, 37628])).
% 9.54/6.98 tff(37630,plain,
% 9.54/6.98 (~node4(s220)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10966, 22, 37607])).
% 9.54/6.98 tff(37631,plain,
% 9.54/6.98 (xuntil6(s220) | (~until5(s220))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10973, 36, 37630])).
% 9.54/6.98 tff(37632,plain,
% 9.54/6.98 (xuntil6(s220)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37631, 37629])).
% 9.54/6.98 tff(37633,plain,
% 9.54/6.98 (until5(s221)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10979, 37632])).
% 9.54/6.98 tff(37634,plain,
% 9.54/6.98 (~node4(s221)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10983, 22, 37606])).
% 9.54/6.98 tff(37635,plain,
% 9.54/6.98 (xuntil6(s221) | (~until5(s221))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10990, 36, 37634])).
% 9.54/6.98 tff(37636,plain,
% 9.54/6.98 (xuntil6(s221)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37635, 37633])).
% 9.54/6.98 tff(37637,plain,
% 9.54/6.98 (until5(s222)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[10996, 37636])).
% 9.54/6.98 tff(37638,plain,
% 9.54/6.98 (~node4(s222)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11000, 22, 37605])).
% 9.54/6.98 tff(37639,plain,
% 9.54/6.98 (xuntil6(s222) | (~until5(s222))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11007, 36, 37638])).
% 9.54/6.98 tff(37640,plain,
% 9.54/6.98 (xuntil6(s222)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37639, 37637])).
% 9.54/6.98 tff(37641,plain,
% 9.54/6.98 (until5(s223)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11013, 37640])).
% 9.54/6.98 tff(37642,plain,
% 9.54/6.98 (~node4(s223)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11017, 22, 37604])).
% 9.54/6.98 tff(37643,plain,
% 9.54/6.98 (xuntil6(s223) | (~until5(s223))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11024, 36, 37642])).
% 9.54/6.98 tff(37644,plain,
% 9.54/6.98 (xuntil6(s223)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37643, 37641])).
% 9.54/6.98 tff(37645,plain,
% 9.54/6.98 (until5(s224)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11030, 37644])).
% 9.54/6.98 tff(37646,plain,
% 9.54/6.98 (~node4(s224)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11034, 22, 37603])).
% 9.54/6.98 tff(37647,plain,
% 9.54/6.98 (xuntil6(s224) | (~until5(s224))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11041, 36, 37646])).
% 9.54/6.98 tff(37648,plain,
% 9.54/6.98 (xuntil6(s224)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37647, 37645])).
% 9.54/6.98 tff(37649,plain,
% 9.54/6.98 (until5(s225)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11047, 37648])).
% 9.54/6.98 tff(37650,plain,
% 9.54/6.98 (~node4(s225)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11051, 22, 37602])).
% 9.54/6.98 tff(37651,plain,
% 9.54/6.98 (xuntil6(s225) | (~until5(s225))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11058, 36, 37650])).
% 9.54/6.98 tff(37652,plain,
% 9.54/6.98 (xuntil6(s225)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37651, 37649])).
% 9.54/6.98 tff(37653,plain,
% 9.54/6.98 (until5(s226)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11064, 37652])).
% 9.54/6.98 tff(37654,plain,
% 9.54/6.98 (~node4(s226)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11068, 22, 37601])).
% 9.54/6.98 tff(37655,plain,
% 9.54/6.98 (xuntil6(s226) | (~until5(s226))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11075, 36, 37654])).
% 9.54/6.98 tff(37656,plain,
% 9.54/6.98 (xuntil6(s226)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37655, 37653])).
% 9.54/6.98 tff(37657,plain,
% 9.54/6.98 (until5(s227)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11081, 37656])).
% 9.54/6.98 tff(37658,plain,
% 9.54/6.98 (~node4(s227)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11085, 22, 37600])).
% 9.54/6.98 tff(37659,plain,
% 9.54/6.98 (xuntil6(s227) | (~until5(s227))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11092, 36, 37658])).
% 9.54/6.98 tff(37660,plain,
% 9.54/6.98 (xuntil6(s227)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37659, 37657])).
% 9.54/6.98 tff(37661,plain,
% 9.54/6.98 (until5(s228)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11098, 37660])).
% 9.54/6.98 tff(37662,plain,
% 9.54/6.98 (~node4(s228)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11102, 22, 37599])).
% 9.54/6.98 tff(37663,plain,
% 9.54/6.98 (xuntil6(s228) | (~until5(s228))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11109, 36, 37662])).
% 9.54/6.98 tff(37664,plain,
% 9.54/6.98 (xuntil6(s228)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37663, 37661])).
% 9.54/6.98 tff(37665,plain,
% 9.54/6.98 (until5(s229)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11115, 37664])).
% 9.54/6.98 tff(37666,plain,
% 9.54/6.98 (~node4(s229)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11119, 22, 37598])).
% 9.54/6.98 tff(37667,plain,
% 9.54/6.98 (xuntil6(s229) | (~until5(s229))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11126, 36, 37666])).
% 9.54/6.98 tff(37668,plain,
% 9.54/6.98 (xuntil6(s229)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37667, 37665])).
% 9.54/6.98 tff(37669,plain,
% 9.54/6.98 (until5(s230)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11132, 37668])).
% 9.54/6.98 tff(37670,plain,
% 9.54/6.98 (~node4(s230)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11136, 22, 37597])).
% 9.54/6.98 tff(37671,plain,
% 9.54/6.98 (xuntil6(s230) | (~until5(s230))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11143, 36, 37670])).
% 9.54/6.98 tff(37672,plain,
% 9.54/6.98 (xuntil6(s230)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37671, 37669])).
% 9.54/6.98 tff(37673,plain,
% 9.54/6.98 (until5(s231)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11149, 37672])).
% 9.54/6.98 tff(37674,plain,
% 9.54/6.98 (~node4(s231)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11153, 22, 37596])).
% 9.54/6.98 tff(37675,plain,
% 9.54/6.98 (xuntil6(s231) | (~until5(s231))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11160, 36, 37674])).
% 9.54/6.98 tff(37676,plain,
% 9.54/6.98 (xuntil6(s231)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37675, 37673])).
% 9.54/6.98 tff(37677,plain,
% 9.54/6.98 (until5(s232)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11166, 37676])).
% 9.54/6.98 tff(37678,plain,
% 9.54/6.98 (~node4(s232)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11170, 22, 37595])).
% 9.54/6.98 tff(37679,plain,
% 9.54/6.98 (xuntil6(s232) | (~until5(s232))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11177, 36, 37678])).
% 9.54/6.98 tff(37680,plain,
% 9.54/6.98 (xuntil6(s232)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37679, 37677])).
% 9.54/6.98 tff(37681,plain,
% 9.54/6.98 (until5(s233)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11183, 37680])).
% 9.54/6.98 tff(37682,plain,
% 9.54/6.98 (~node4(s233)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11187, 22, 37594])).
% 9.54/6.98 tff(37683,plain,
% 9.54/6.98 (xuntil6(s233) | (~until5(s233))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11194, 36, 37682])).
% 9.54/6.98 tff(37684,plain,
% 9.54/6.98 (xuntil6(s233)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37683, 37681])).
% 9.54/6.98 tff(37685,plain,
% 9.54/6.98 (until5(s234)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11200, 37684])).
% 9.54/6.98 tff(37686,plain,
% 9.54/6.98 (~node4(s234)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11204, 22, 37593])).
% 9.54/6.98 tff(37687,plain,
% 9.54/6.98 (xuntil6(s234) | (~until5(s234))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11211, 36, 37686])).
% 9.54/6.98 tff(37688,plain,
% 9.54/6.98 (xuntil6(s234)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37687, 37685])).
% 9.54/6.98 tff(37689,plain,
% 9.54/6.98 (until5(s235)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11217, 37688])).
% 9.54/6.98 tff(37690,plain,
% 9.54/6.98 (~node4(s235)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11221, 22, 37592])).
% 9.54/6.98 tff(37691,plain,
% 9.54/6.98 (xuntil6(s235) | (~until5(s235))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11228, 36, 37690])).
% 9.54/6.98 tff(37692,plain,
% 9.54/6.98 (xuntil6(s235)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37691, 37689])).
% 9.54/6.98 tff(37693,plain,
% 9.54/6.98 (until5(s236)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11234, 37692])).
% 9.54/6.98 tff(37694,plain,
% 9.54/6.98 (~node4(s236)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11238, 22, 37591])).
% 9.54/6.98 tff(37695,plain,
% 9.54/6.98 (xuntil6(s236) | (~until5(s236))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11245, 36, 37694])).
% 9.54/6.98 tff(37696,plain,
% 9.54/6.98 (xuntil6(s236)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37695, 37693])).
% 9.54/6.98 tff(37697,plain,
% 9.54/6.98 (until5(s237)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11251, 37696])).
% 9.54/6.98 tff(37698,plain,
% 9.54/6.98 (~node4(s237)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11255, 22, 37590])).
% 9.54/6.98 tff(37699,plain,
% 9.54/6.98 (xuntil6(s237) | (~until5(s237))),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11262, 36, 37698])).
% 9.54/6.98 tff(37700,plain,
% 9.54/6.98 (xuntil6(s237)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37699, 37697])).
% 9.54/6.98 tff(37701,plain,
% 9.54/6.98 ($false),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[11268, 37700, 37589])).
% 9.54/6.98 tff(37702,plain,(always3(s259) | node4(s253) | xuntil6(s259) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.54/6.98 tff(37703,plain,
% 9.54/6.98 (always3(s259)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37702, 37482, 6320, 35006])).
% 9.54/6.98 tff(37704,plain,
% 9.54/6.98 (always3(s260)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[5805, 37703])).
% 9.54/6.98 tff(37705,plain,
% 9.54/6.98 (~m_main_v_state(s260, c_busy)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37451, 170, 37704])).
% 9.54/6.98 tff(37706,plain,
% 9.54/6.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s259)) | (~m_main_v_state(s259, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s259)) | (~m_main_v_state(s259, c_busy)))),
% 9.54/6.98 inference(rewrite,[status(thm)],[])).
% 9.54/6.98 tff(37707,plain,
% 9.54/6.98 (((~m_main_v_state(s259, c_busy)) | (~always3(s259))) <=> ((~always3(s259)) | (~m_main_v_state(s259, c_busy)))),
% 9.54/6.98 inference(rewrite,[status(thm)],[])).
% 9.54/6.98 tff(37708,plain,
% 9.54/6.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s259, c_busy)) | (~always3(s259)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s259)) | (~m_main_v_state(s259, c_busy))))),
% 9.54/6.98 inference(monotonicity,[status(thm)],[37707])).
% 9.54/6.98 tff(37709,plain,
% 9.54/6.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s259, c_busy)) | (~always3(s259)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s259)) | (~m_main_v_state(s259, c_busy)))),
% 9.54/6.98 inference(transitivity,[status(thm)],[37708, 37706])).
% 9.54/6.98 tff(37710,plain,
% 9.54/6.98 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s259, c_busy)) | (~always3(s259)))),
% 9.54/6.98 inference(quant_inst,[status(thm)],[])).
% 9.54/6.98 tff(37711,plain,
% 9.54/6.98 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s259)) | (~m_main_v_state(s259, c_busy))),
% 9.54/6.98 inference(modus_ponens,[status(thm)],[37710, 37709])).
% 9.54/6.98 tff(37712,plain,
% 9.54/6.98 (~m_main_v_state(s259, c_busy)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37711, 170, 37703])).
% 9.54/6.98 tff(37713,plain,
% 9.54/6.98 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s259, c_busy) | m_main_v_state(s259, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s259, c_busy) | m_main_v_state(s259, c_ready))),
% 9.54/6.98 inference(rewrite,[status(thm)],[])).
% 9.54/6.98 tff(37714,plain,
% 9.54/6.98 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s259, c_busy) | m_main_v_state(s259, c_ready))),
% 9.54/6.98 inference(quant_inst,[status(thm)],[])).
% 9.54/6.98 tff(37715,plain,
% 9.54/6.98 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s259, c_busy) | m_main_v_state(s259, c_ready)),
% 9.54/6.98 inference(modus_ponens,[status(thm)],[37714, 37713])).
% 9.54/6.98 tff(37716,plain,
% 9.54/6.98 (m_main_v_state(s259, c_ready)),
% 9.54/6.98 inference(unit_resolution,[status(thm)],[37715, 213, 37712])).
% 9.54/6.98 tff(37717,assumption,(~m_main_v_state(s259, c_busy)), introduced(assumption)).
% 9.54/6.99 tff(37718,assumption,(node4(s258)), introduced(assumption)).
% 9.54/6.99 tff(37719,plain,
% 9.54/6.99 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s258) | (~node4(s258)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s258) | (~node4(s258)))),
% 9.54/6.99 inference(rewrite,[status(thm)],[])).
% 9.54/6.99 tff(37720,plain,
% 9.54/6.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s258) | (~node4(s258)))),
% 9.54/6.99 inference(quant_inst,[status(thm)],[])).
% 9.54/6.99 tff(37721,plain,
% 9.54/6.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s258) | (~node4(s258))),
% 9.54/6.99 inference(modus_ponens,[status(thm)],[37720, 37719])).
% 9.54/6.99 tff(37722,plain,
% 9.54/6.99 (m_main_v_request(s258)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37721, 154, 37718])).
% 9.54/6.99 tff(37723,plain,
% 9.54/6.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s258, s259)) | node2(s258, s259))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s258, s259)) | node2(s258, s259))),
% 9.54/6.99 inference(rewrite,[status(thm)],[])).
% 9.54/6.99 tff(37724,plain,
% 9.54/6.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s258, s259)) | node2(s258, s259))),
% 9.54/6.99 inference(quant_inst,[status(thm)],[])).
% 9.54/6.99 tff(37725,plain,
% 9.54/6.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s258, s259)) | node2(s258, s259)),
% 9.54/6.99 inference(modus_ponens,[status(thm)],[37724, 37723])).
% 9.54/6.99 tff(37726,plain,
% 9.54/6.99 (node2(s258, s259)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37725, 7, 5813])).
% 9.54/6.99 tff(37727,plain,
% 9.54/6.99 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s258, c_ready)) | (~node2(s258, s259)) | m_main_v_state(s259, c_busy) | (~m_main_v_request(s258)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s258, c_ready)) | (~node2(s258, s259)) | m_main_v_state(s259, c_busy) | (~m_main_v_request(s258)))),
% 9.54/6.99 inference(rewrite,[status(thm)],[])).
% 9.54/6.99 tff(37728,plain,
% 9.54/6.99 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s258, c_ready)) | (~node2(s258, s259)) | m_main_v_state(s259, c_busy) | (~m_main_v_request(s258)))),
% 9.54/6.99 inference(quant_inst,[status(thm)],[])).
% 9.54/6.99 tff(37729,plain,
% 9.54/6.99 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s258, c_ready)) | (~node2(s258, s259)) | m_main_v_state(s259, c_busy) | (~m_main_v_request(s258))),
% 9.54/6.99 inference(modus_ponens,[status(thm)],[37728, 37727])).
% 9.54/6.99 tff(37730,plain,
% 9.54/6.99 ((~m_main_v_state(s258, c_ready)) | m_main_v_state(s259, c_busy) | (~m_main_v_request(s258))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37729, 191, 37726])).
% 9.54/6.99 tff(37731,plain,
% 9.54/6.99 (~m_main_v_state(s258, c_ready)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37730, 37722, 37717])).
% 9.54/6.99 tff(37732,plain,
% 9.54/6.99 (always3(s258)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11609, 22, 37718])).
% 9.54/6.99 tff(37733,plain,
% 9.54/6.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s258)) | (~m_main_v_state(s258, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s258)) | (~m_main_v_state(s258, c_busy)))),
% 9.54/6.99 inference(rewrite,[status(thm)],[])).
% 9.54/6.99 tff(37734,plain,
% 9.54/6.99 (((~m_main_v_state(s258, c_busy)) | (~always3(s258))) <=> ((~always3(s258)) | (~m_main_v_state(s258, c_busy)))),
% 9.54/6.99 inference(rewrite,[status(thm)],[])).
% 9.54/6.99 tff(37735,plain,
% 9.54/6.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s258, c_busy)) | (~always3(s258)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s258)) | (~m_main_v_state(s258, c_busy))))),
% 9.54/6.99 inference(monotonicity,[status(thm)],[37734])).
% 9.54/6.99 tff(37736,plain,
% 9.54/6.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s258, c_busy)) | (~always3(s258)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s258)) | (~m_main_v_state(s258, c_busy)))),
% 9.54/6.99 inference(transitivity,[status(thm)],[37735, 37733])).
% 9.54/6.99 tff(37737,plain,
% 9.54/6.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s258, c_busy)) | (~always3(s258)))),
% 9.54/6.99 inference(quant_inst,[status(thm)],[])).
% 9.54/6.99 tff(37738,plain,
% 9.54/6.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s258)) | (~m_main_v_state(s258, c_busy))),
% 9.54/6.99 inference(modus_ponens,[status(thm)],[37737, 37736])).
% 9.54/6.99 tff(37739,plain,
% 9.54/6.99 (~m_main_v_state(s258, c_busy)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37738, 170, 37732])).
% 9.54/6.99 tff(37740,plain,
% 9.54/6.99 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s258, c_busy) | m_main_v_state(s258, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s258, c_busy) | m_main_v_state(s258, c_ready))),
% 9.54/6.99 inference(rewrite,[status(thm)],[])).
% 9.54/6.99 tff(37741,plain,
% 9.54/6.99 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s258, c_busy) | m_main_v_state(s258, c_ready))),
% 9.54/6.99 inference(quant_inst,[status(thm)],[])).
% 9.54/6.99 tff(37742,plain,
% 9.54/6.99 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s258, c_busy) | m_main_v_state(s258, c_ready)),
% 9.54/6.99 inference(modus_ponens,[status(thm)],[37741, 37740])).
% 9.54/6.99 tff(37743,plain,
% 9.54/6.99 ($false),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37742, 213, 37739, 37731])).
% 9.54/6.99 tff(37744,plain,((~node4(s258)) | m_main_v_state(s259, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.54/6.99 tff(37745,plain,
% 9.54/6.99 (~node4(s258)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37744, 37712])).
% 9.54/6.99 tff(37746,plain,
% 9.54/6.99 (~node4(s256)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11575, 22, 35002])).
% 9.54/6.99 tff(37747,plain,
% 9.54/6.99 (~node4(s257)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11592, 22, 35001])).
% 9.54/6.99 tff(37748,assumption,(~xuntil6(s257)), introduced(assumption)).
% 9.54/6.99 tff(37749,plain,
% 9.54/6.99 (node4(s257) | (~until5(s257))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11599, 36, 37748])).
% 9.54/6.99 tff(37750,plain,
% 9.54/6.99 (~until5(s257)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37749, 37747])).
% 9.54/6.99 tff(37751,plain,
% 9.54/6.99 (~xuntil6(s256)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11588, 37750])).
% 9.54/6.99 tff(37752,plain,
% 9.54/6.99 (~until5(s256)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11582, 36, 37751, 37746])).
% 9.54/6.99 tff(37753,plain,
% 9.54/6.99 (~xuntil6(s255)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11571, 37752])).
% 9.54/6.99 tff(37754,plain,
% 9.54/6.99 (~node4(s255)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11558, 22, 35003])).
% 9.54/6.99 tff(37755,plain,
% 9.54/6.99 (xuntil6(s255) | (~until5(s255))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11565, 36, 37754])).
% 9.54/6.99 tff(37756,plain,
% 9.54/6.99 (~until5(s255)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37755, 37753])).
% 9.54/6.99 tff(37757,plain,
% 9.54/6.99 (~xuntil6(s254)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11554, 37756])).
% 9.54/6.99 tff(37758,plain,
% 9.54/6.99 (~node4(s254)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11541, 22, 35004])).
% 9.54/6.99 tff(37759,plain,
% 9.54/6.99 (xuntil6(s254) | (~until5(s254))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11548, 36, 37758])).
% 9.54/6.99 tff(37760,plain,
% 9.54/6.99 (~until5(s254)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37759, 37757])).
% 9.54/6.99 tff(37761,plain,
% 9.54/6.99 (~xuntil6(s253)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11537, 37760])).
% 9.54/6.99 tff(37762,plain,
% 9.54/6.99 (~until5(s253)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11532, 37761])).
% 9.54/6.99 tff(37763,plain,
% 9.54/6.99 (~xuntil6(s252)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11523, 37762])).
% 9.54/6.99 tff(37764,plain,
% 9.54/6.99 (~always3(s252)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[5878, 35005])).
% 9.54/6.99 tff(37765,plain,
% 9.54/6.99 (~node4(s252)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11510, 22, 37764])).
% 9.54/6.99 tff(37766,plain,
% 9.54/6.99 (xuntil6(s252) | (~until5(s252))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11517, 36, 37765])).
% 9.54/6.99 tff(37767,plain,
% 9.54/6.99 (~until5(s252)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37766, 37763])).
% 9.54/6.99 tff(37768,plain,
% 9.54/6.99 (~xuntil6(s251)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11506, 37767])).
% 9.54/6.99 tff(37769,plain,
% 9.54/6.99 (~always3(s251)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[5890, 37764])).
% 9.54/6.99 tff(37770,plain,
% 9.54/6.99 (~node4(s251)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11493, 22, 37769])).
% 9.54/6.99 tff(37771,plain,
% 9.54/6.99 (xuntil6(s251) | (~until5(s251))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11500, 36, 37770])).
% 9.54/6.99 tff(37772,plain,
% 9.54/6.99 (~until5(s251)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37771, 37768])).
% 9.54/6.99 tff(37773,plain,
% 9.54/6.99 (~xuntil6(s250)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11489, 37772])).
% 9.54/6.99 tff(37774,plain,
% 9.54/6.99 (~always3(s250)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[5902, 37769])).
% 9.54/6.99 tff(37775,plain,
% 9.54/6.99 (~node4(s250)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11476, 22, 37774])).
% 9.54/6.99 tff(37776,plain,
% 9.54/6.99 (xuntil6(s250) | (~until5(s250))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11483, 36, 37775])).
% 9.54/6.99 tff(37777,plain,
% 9.54/6.99 (~until5(s250)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37776, 37773])).
% 9.54/6.99 tff(37778,plain,
% 9.54/6.99 (~xuntil6(s249)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11472, 37777])).
% 9.54/6.99 tff(37779,plain,
% 9.54/6.99 (~always3(s249)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[5914, 37774])).
% 9.54/6.99 tff(37780,plain,
% 9.54/6.99 (~node4(s249)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11459, 22, 37779])).
% 9.54/6.99 tff(37781,plain,
% 9.54/6.99 (xuntil6(s249) | (~until5(s249))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11466, 36, 37780])).
% 9.54/6.99 tff(37782,plain,
% 9.54/6.99 (~until5(s249)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37781, 37778])).
% 9.54/6.99 tff(37783,plain,
% 9.54/6.99 (~xuntil6(s248)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11455, 37782])).
% 9.54/6.99 tff(37784,plain,
% 9.54/6.99 (~always3(s248)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[5926, 37779])).
% 9.54/6.99 tff(37785,plain,
% 9.54/6.99 (~node4(s248)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11442, 22, 37784])).
% 9.54/6.99 tff(37786,plain,
% 9.54/6.99 (xuntil6(s248) | (~until5(s248))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11449, 36, 37785])).
% 9.54/6.99 tff(37787,plain,
% 9.54/6.99 (~until5(s248)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37786, 37783])).
% 9.54/6.99 tff(37788,plain,
% 9.54/6.99 (~xuntil6(s247)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11438, 37787])).
% 9.54/6.99 tff(37789,plain,
% 9.54/6.99 (~always3(s247)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[5938, 37784])).
% 9.54/6.99 tff(37790,plain,
% 9.54/6.99 (~node4(s247)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11425, 22, 37789])).
% 9.54/6.99 tff(37791,plain,
% 9.54/6.99 (xuntil6(s247) | (~until5(s247))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11432, 36, 37790])).
% 9.54/6.99 tff(37792,plain,
% 9.54/6.99 (~until5(s247)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37791, 37788])).
% 9.54/6.99 tff(37793,plain,
% 9.54/6.99 (~xuntil6(s246)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11421, 37792])).
% 9.54/6.99 tff(37794,plain,
% 9.54/6.99 (~always3(s246)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[5950, 37789])).
% 9.54/6.99 tff(37795,plain,
% 9.54/6.99 (~node4(s246)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11408, 22, 37794])).
% 9.54/6.99 tff(37796,plain,
% 9.54/6.99 (xuntil6(s246) | (~until5(s246))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11415, 36, 37795])).
% 9.54/6.99 tff(37797,plain,
% 9.54/6.99 (~until5(s246)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37796, 37793])).
% 9.54/6.99 tff(37798,plain,
% 9.54/6.99 (~xuntil6(s245)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11404, 37797])).
% 9.54/6.99 tff(37799,plain,
% 9.54/6.99 (~always3(s245)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[5962, 37794])).
% 9.54/6.99 tff(37800,plain,
% 9.54/6.99 (~node4(s245)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11391, 22, 37799])).
% 9.54/6.99 tff(37801,plain,
% 9.54/6.99 (xuntil6(s245) | (~until5(s245))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11398, 36, 37800])).
% 9.54/6.99 tff(37802,plain,
% 9.54/6.99 (~until5(s245)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37801, 37798])).
% 9.54/6.99 tff(37803,plain,
% 9.54/6.99 (~xuntil6(s244)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11387, 37802])).
% 9.54/6.99 tff(37804,plain,
% 9.54/6.99 (~always3(s244)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[5974, 37799])).
% 9.54/6.99 tff(37805,plain,
% 9.54/6.99 (~node4(s244)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11374, 22, 37804])).
% 9.54/6.99 tff(37806,plain,
% 9.54/6.99 (xuntil6(s244) | (~until5(s244))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11381, 36, 37805])).
% 9.54/6.99 tff(37807,plain,
% 9.54/6.99 (~until5(s244)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37806, 37803])).
% 9.54/6.99 tff(37808,plain,
% 9.54/6.99 (~xuntil6(s243)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11370, 37807])).
% 9.54/6.99 tff(37809,plain,
% 9.54/6.99 (~always3(s243)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[5986, 37804])).
% 9.54/6.99 tff(37810,plain,
% 9.54/6.99 (~node4(s243)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11357, 22, 37809])).
% 9.54/6.99 tff(37811,plain,
% 9.54/6.99 (xuntil6(s243) | (~until5(s243))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11364, 36, 37810])).
% 9.54/6.99 tff(37812,plain,
% 9.54/6.99 (~until5(s243)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37811, 37808])).
% 9.54/6.99 tff(37813,plain,
% 9.54/6.99 (~xuntil6(s242)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11353, 37812])).
% 9.54/6.99 tff(37814,plain,
% 9.54/6.99 (~always3(s242)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[5998, 37809])).
% 9.54/6.99 tff(37815,plain,
% 9.54/6.99 (~node4(s242)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11340, 22, 37814])).
% 9.54/6.99 tff(37816,plain,
% 9.54/6.99 (xuntil6(s242) | (~until5(s242))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11347, 36, 37815])).
% 9.54/6.99 tff(37817,plain,
% 9.54/6.99 (~until5(s242)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37816, 37813])).
% 9.54/6.99 tff(37818,plain,
% 9.54/6.99 (~xuntil6(s241)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11336, 37817])).
% 9.54/6.99 tff(37819,plain,
% 9.54/6.99 (~always3(s241)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6010, 37814])).
% 9.54/6.99 tff(37820,plain,
% 9.54/6.99 (~node4(s241)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11323, 22, 37819])).
% 9.54/6.99 tff(37821,plain,
% 9.54/6.99 (xuntil6(s241) | (~until5(s241))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11330, 36, 37820])).
% 9.54/6.99 tff(37822,plain,
% 9.54/6.99 (~until5(s241)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37821, 37818])).
% 9.54/6.99 tff(37823,plain,
% 9.54/6.99 (~xuntil6(s240)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11319, 37822])).
% 9.54/6.99 tff(37824,plain,
% 9.54/6.99 (~always3(s240)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6022, 37819])).
% 9.54/6.99 tff(37825,plain,
% 9.54/6.99 (~node4(s240)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11306, 22, 37824])).
% 9.54/6.99 tff(37826,plain,
% 9.54/6.99 (xuntil6(s240) | (~until5(s240))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11313, 36, 37825])).
% 9.54/6.99 tff(37827,plain,
% 9.54/6.99 (~until5(s240)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37826, 37823])).
% 9.54/6.99 tff(37828,plain,
% 9.54/6.99 (~xuntil6(s239)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11302, 37827])).
% 9.54/6.99 tff(37829,plain,
% 9.54/6.99 (~always3(s239)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6034, 37824])).
% 9.54/6.99 tff(37830,plain,
% 9.54/6.99 (~node4(s239)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11289, 22, 37829])).
% 9.54/6.99 tff(37831,plain,
% 9.54/6.99 (xuntil6(s239) | (~until5(s239))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11296, 36, 37830])).
% 9.54/6.99 tff(37832,plain,
% 9.54/6.99 (~until5(s239)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37831, 37828])).
% 9.54/6.99 tff(37833,plain,
% 9.54/6.99 (~xuntil6(s238)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11285, 37832])).
% 9.54/6.99 tff(37834,plain,
% 9.54/6.99 (~always3(s238)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6046, 37829])).
% 9.54/6.99 tff(37835,plain,
% 9.54/6.99 (~node4(s238)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11272, 22, 37834])).
% 9.54/6.99 tff(37836,plain,
% 9.54/6.99 (xuntil6(s238) | (~until5(s238))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11279, 36, 37835])).
% 9.54/6.99 tff(37837,plain,
% 9.54/6.99 (~until5(s238)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37836, 37833])).
% 9.54/6.99 tff(37838,plain,
% 9.54/6.99 (~xuntil6(s237)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11268, 37837])).
% 9.54/6.99 tff(37839,plain,
% 9.54/6.99 (~always3(s237)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6058, 37834])).
% 9.54/6.99 tff(37840,plain,
% 9.54/6.99 (~node4(s237)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11255, 22, 37839])).
% 9.54/6.99 tff(37841,plain,
% 9.54/6.99 (xuntil6(s237) | (~until5(s237))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11262, 36, 37840])).
% 9.54/6.99 tff(37842,plain,
% 9.54/6.99 (~until5(s237)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37841, 37838])).
% 9.54/6.99 tff(37843,plain,
% 9.54/6.99 (~always3(s236)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6070, 37839])).
% 9.54/6.99 tff(37844,plain,
% 9.54/6.99 (~always3(s235)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6082, 37843])).
% 9.54/6.99 tff(37845,plain,
% 9.54/6.99 (~always3(s234)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6094, 37844])).
% 9.54/6.99 tff(37846,plain,
% 9.54/6.99 (~always3(s233)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6106, 37845])).
% 9.54/6.99 tff(37847,plain,
% 9.54/6.99 (~always3(s232)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6118, 37846])).
% 9.54/6.99 tff(37848,plain,
% 9.54/6.99 (~always3(s231)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6130, 37847])).
% 9.54/6.99 tff(37849,plain,
% 9.54/6.99 (~always3(s230)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6142, 37848])).
% 9.54/6.99 tff(37850,plain,
% 9.54/6.99 (~always3(s229)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6154, 37849])).
% 9.54/6.99 tff(37851,plain,
% 9.54/6.99 (~always3(s228)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6166, 37850])).
% 9.54/6.99 tff(37852,plain,
% 9.54/6.99 (~always3(s227)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6178, 37851])).
% 9.54/6.99 tff(37853,plain,
% 9.54/6.99 (~always3(s226)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6190, 37852])).
% 9.54/6.99 tff(37854,plain,
% 9.54/6.99 (~always3(s225)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6202, 37853])).
% 9.54/6.99 tff(37855,plain,
% 9.54/6.99 (~always3(s224)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6214, 37854])).
% 9.54/6.99 tff(37856,plain,
% 9.54/6.99 (~always3(s223)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6226, 37855])).
% 9.54/6.99 tff(37857,plain,
% 9.54/6.99 (~always3(s222)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6238, 37856])).
% 9.54/6.99 tff(37858,plain,
% 9.54/6.99 (~always3(s221)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6250, 37857])).
% 9.54/6.99 tff(37859,plain,
% 9.54/6.99 (~always3(s220)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6262, 37858])).
% 9.54/6.99 tff(37860,plain,
% 9.54/6.99 (~always3(s219)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6274, 37859])).
% 9.54/6.99 tff(37861,plain,
% 9.54/6.99 (~always3(s218)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6286, 37860])).
% 9.54/6.99 tff(37862,plain,
% 9.54/6.99 (~always3(s217)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6298, 37861])).
% 9.54/6.99 tff(37863,plain,
% 9.54/6.99 (~node4(s217)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6302, 22, 37862])).
% 9.54/6.99 tff(37864,plain,
% 9.54/6.99 (~always3(s216)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6314, 37862])).
% 9.54/6.99 tff(37865,plain,
% 9.54/6.99 (~node4(s216)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6318, 22, 37864])).
% 9.54/6.99 tff(37866,plain,
% 9.54/6.99 (~always3(s215)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[6331, 37864])).
% 9.54/6.99 tff(37867,plain,
% 9.54/6.99 (xuntil6(s215)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[10898, 37866, 6320])).
% 9.54/6.99 tff(37868,plain,
% 9.54/6.99 (until5(s216)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[10903, 37867])).
% 9.54/6.99 tff(37869,plain,
% 9.54/6.99 (xuntil6(s216) | node4(s216)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[10910, 36, 37868])).
% 9.54/6.99 tff(37870,plain,
% 9.54/6.99 (xuntil6(s216)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37869, 37865])).
% 9.54/6.99 tff(37871,plain,
% 9.54/6.99 (until5(s217)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[10916, 37870])).
% 9.54/6.99 tff(37872,plain,
% 9.54/6.99 (xuntil6(s217)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[10923, 36, 37871, 37863])).
% 9.54/6.99 tff(37873,plain,
% 9.54/6.99 (until5(s218)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[10928, 37872])).
% 9.54/6.99 tff(37874,plain,
% 9.54/6.99 (~node4(s218)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[10932, 22, 37861])).
% 9.54/6.99 tff(37875,plain,
% 9.54/6.99 (xuntil6(s218) | (~until5(s218))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[10939, 36, 37874])).
% 9.54/6.99 tff(37876,plain,
% 9.54/6.99 (xuntil6(s218)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37875, 37873])).
% 9.54/6.99 tff(37877,plain,
% 9.54/6.99 (until5(s219)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[10945, 37876])).
% 9.54/6.99 tff(37878,plain,
% 9.54/6.99 (~node4(s219)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[10949, 22, 37860])).
% 9.54/6.99 tff(37879,plain,
% 9.54/6.99 (xuntil6(s219) | (~until5(s219))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[10956, 36, 37878])).
% 9.54/6.99 tff(37880,plain,
% 9.54/6.99 (xuntil6(s219)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37879, 37877])).
% 9.54/6.99 tff(37881,plain,
% 9.54/6.99 (until5(s220)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[10962, 37880])).
% 9.54/6.99 tff(37882,plain,
% 9.54/6.99 (~node4(s220)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[10966, 22, 37859])).
% 9.54/6.99 tff(37883,plain,
% 9.54/6.99 (xuntil6(s220) | (~until5(s220))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[10973, 36, 37882])).
% 9.54/6.99 tff(37884,plain,
% 9.54/6.99 (xuntil6(s220)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37883, 37881])).
% 9.54/6.99 tff(37885,plain,
% 9.54/6.99 (until5(s221)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[10979, 37884])).
% 9.54/6.99 tff(37886,plain,
% 9.54/6.99 (~node4(s221)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[10983, 22, 37858])).
% 9.54/6.99 tff(37887,plain,
% 9.54/6.99 (xuntil6(s221) | (~until5(s221))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[10990, 36, 37886])).
% 9.54/6.99 tff(37888,plain,
% 9.54/6.99 (xuntil6(s221)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37887, 37885])).
% 9.54/6.99 tff(37889,plain,
% 9.54/6.99 (until5(s222)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[10996, 37888])).
% 9.54/6.99 tff(37890,plain,
% 9.54/6.99 (~node4(s222)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11000, 22, 37857])).
% 9.54/6.99 tff(37891,plain,
% 9.54/6.99 (xuntil6(s222) | (~until5(s222))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11007, 36, 37890])).
% 9.54/6.99 tff(37892,plain,
% 9.54/6.99 (xuntil6(s222)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37891, 37889])).
% 9.54/6.99 tff(37893,plain,
% 9.54/6.99 (until5(s223)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11013, 37892])).
% 9.54/6.99 tff(37894,plain,
% 9.54/6.99 (~node4(s223)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11017, 22, 37856])).
% 9.54/6.99 tff(37895,plain,
% 9.54/6.99 (xuntil6(s223) | (~until5(s223))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11024, 36, 37894])).
% 9.54/6.99 tff(37896,plain,
% 9.54/6.99 (xuntil6(s223)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37895, 37893])).
% 9.54/6.99 tff(37897,plain,
% 9.54/6.99 (until5(s224)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11030, 37896])).
% 9.54/6.99 tff(37898,plain,
% 9.54/6.99 (~node4(s224)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11034, 22, 37855])).
% 9.54/6.99 tff(37899,plain,
% 9.54/6.99 (xuntil6(s224) | (~until5(s224))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11041, 36, 37898])).
% 9.54/6.99 tff(37900,plain,
% 9.54/6.99 (xuntil6(s224)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37899, 37897])).
% 9.54/6.99 tff(37901,plain,
% 9.54/6.99 (until5(s225)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11047, 37900])).
% 9.54/6.99 tff(37902,plain,
% 9.54/6.99 (~node4(s225)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11051, 22, 37854])).
% 9.54/6.99 tff(37903,plain,
% 9.54/6.99 (xuntil6(s225) | (~until5(s225))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11058, 36, 37902])).
% 9.54/6.99 tff(37904,plain,
% 9.54/6.99 (xuntil6(s225)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37903, 37901])).
% 9.54/6.99 tff(37905,plain,
% 9.54/6.99 (until5(s226)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11064, 37904])).
% 9.54/6.99 tff(37906,plain,
% 9.54/6.99 (~node4(s226)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11068, 22, 37853])).
% 9.54/6.99 tff(37907,plain,
% 9.54/6.99 (xuntil6(s226) | (~until5(s226))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11075, 36, 37906])).
% 9.54/6.99 tff(37908,plain,
% 9.54/6.99 (xuntil6(s226)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37907, 37905])).
% 9.54/6.99 tff(37909,plain,
% 9.54/6.99 (until5(s227)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11081, 37908])).
% 9.54/6.99 tff(37910,plain,
% 9.54/6.99 (~node4(s227)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11085, 22, 37852])).
% 9.54/6.99 tff(37911,plain,
% 9.54/6.99 (xuntil6(s227) | (~until5(s227))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11092, 36, 37910])).
% 9.54/6.99 tff(37912,plain,
% 9.54/6.99 (xuntil6(s227)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37911, 37909])).
% 9.54/6.99 tff(37913,plain,
% 9.54/6.99 (until5(s228)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11098, 37912])).
% 9.54/6.99 tff(37914,plain,
% 9.54/6.99 (~node4(s228)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11102, 22, 37851])).
% 9.54/6.99 tff(37915,plain,
% 9.54/6.99 (xuntil6(s228) | (~until5(s228))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11109, 36, 37914])).
% 9.54/6.99 tff(37916,plain,
% 9.54/6.99 (xuntil6(s228)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37915, 37913])).
% 9.54/6.99 tff(37917,plain,
% 9.54/6.99 (until5(s229)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11115, 37916])).
% 9.54/6.99 tff(37918,plain,
% 9.54/6.99 (~node4(s229)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11119, 22, 37850])).
% 9.54/6.99 tff(37919,plain,
% 9.54/6.99 (xuntil6(s229) | (~until5(s229))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11126, 36, 37918])).
% 9.54/6.99 tff(37920,plain,
% 9.54/6.99 (xuntil6(s229)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37919, 37917])).
% 9.54/6.99 tff(37921,plain,
% 9.54/6.99 (until5(s230)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11132, 37920])).
% 9.54/6.99 tff(37922,plain,
% 9.54/6.99 (~node4(s230)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11136, 22, 37849])).
% 9.54/6.99 tff(37923,plain,
% 9.54/6.99 (xuntil6(s230) | (~until5(s230))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11143, 36, 37922])).
% 9.54/6.99 tff(37924,plain,
% 9.54/6.99 (xuntil6(s230)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37923, 37921])).
% 9.54/6.99 tff(37925,plain,
% 9.54/6.99 (until5(s231)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11149, 37924])).
% 9.54/6.99 tff(37926,plain,
% 9.54/6.99 (~node4(s231)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11153, 22, 37848])).
% 9.54/6.99 tff(37927,plain,
% 9.54/6.99 (xuntil6(s231) | (~until5(s231))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11160, 36, 37926])).
% 9.54/6.99 tff(37928,plain,
% 9.54/6.99 (xuntil6(s231)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37927, 37925])).
% 9.54/6.99 tff(37929,plain,
% 9.54/6.99 (until5(s232)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11166, 37928])).
% 9.54/6.99 tff(37930,plain,
% 9.54/6.99 (~node4(s232)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11170, 22, 37847])).
% 9.54/6.99 tff(37931,plain,
% 9.54/6.99 (xuntil6(s232) | (~until5(s232))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11177, 36, 37930])).
% 9.54/6.99 tff(37932,plain,
% 9.54/6.99 (xuntil6(s232)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37931, 37929])).
% 9.54/6.99 tff(37933,plain,
% 9.54/6.99 (until5(s233)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11183, 37932])).
% 9.54/6.99 tff(37934,plain,
% 9.54/6.99 (~node4(s233)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11187, 22, 37846])).
% 9.54/6.99 tff(37935,plain,
% 9.54/6.99 (xuntil6(s233) | (~until5(s233))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11194, 36, 37934])).
% 9.54/6.99 tff(37936,plain,
% 9.54/6.99 (xuntil6(s233)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37935, 37933])).
% 9.54/6.99 tff(37937,plain,
% 9.54/6.99 (until5(s234)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11200, 37936])).
% 9.54/6.99 tff(37938,plain,
% 9.54/6.99 (~node4(s234)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11204, 22, 37845])).
% 9.54/6.99 tff(37939,plain,
% 9.54/6.99 (xuntil6(s234) | (~until5(s234))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11211, 36, 37938])).
% 9.54/6.99 tff(37940,plain,
% 9.54/6.99 (xuntil6(s234)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37939, 37937])).
% 9.54/6.99 tff(37941,plain,
% 9.54/6.99 (until5(s235)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11217, 37940])).
% 9.54/6.99 tff(37942,plain,
% 9.54/6.99 (~node4(s235)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11221, 22, 37844])).
% 9.54/6.99 tff(37943,plain,
% 9.54/6.99 (xuntil6(s235) | (~until5(s235))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11228, 36, 37942])).
% 9.54/6.99 tff(37944,plain,
% 9.54/6.99 (xuntil6(s235)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37943, 37941])).
% 9.54/6.99 tff(37945,plain,
% 9.54/6.99 (until5(s236)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11234, 37944])).
% 9.54/6.99 tff(37946,plain,
% 9.54/6.99 (~node4(s236)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11238, 22, 37843])).
% 9.54/6.99 tff(37947,plain,
% 9.54/6.99 (xuntil6(s236) | (~until5(s236))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11245, 36, 37946])).
% 9.54/6.99 tff(37948,plain,
% 9.54/6.99 (xuntil6(s236)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37947, 37945])).
% 9.54/6.99 tff(37949,plain,
% 9.54/6.99 ($false),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11251, 37948, 37842])).
% 9.54/6.99 tff(37950,plain,(always3(s257) | node4(s253) | xuntil6(s257) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.54/6.99 tff(37951,plain,
% 9.54/6.99 (xuntil6(s257)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37950, 35006, 6320, 35001])).
% 9.54/6.99 tff(37952,plain,
% 9.54/6.99 (until5(s258)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11605, 37951])).
% 9.54/6.99 tff(37953,plain,
% 9.54/6.99 (xuntil6(s258) | node4(s258)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11616, 36, 37952])).
% 9.54/6.99 tff(37954,plain,
% 9.54/6.99 (xuntil6(s258)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37953, 37745])).
% 9.54/6.99 tff(37955,plain,
% 9.54/6.99 (until5(s259)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11622, 37954])).
% 9.54/6.99 tff(37956,plain,
% 9.54/6.99 (node4(s259) | (~until5(s259))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11633, 36, 37482])).
% 9.54/6.99 tff(37957,plain,
% 9.54/6.99 (node4(s259)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37956, 37955])).
% 9.54/6.99 tff(37958,plain,
% 9.54/6.99 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s259) | (~node4(s259)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s259) | (~node4(s259)))),
% 9.54/6.99 inference(rewrite,[status(thm)],[])).
% 9.54/6.99 tff(37959,plain,
% 9.54/6.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s259) | (~node4(s259)))),
% 9.54/6.99 inference(quant_inst,[status(thm)],[])).
% 9.54/6.99 tff(37960,plain,
% 9.54/6.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s259) | (~node4(s259))),
% 9.54/6.99 inference(modus_ponens,[status(thm)],[37959, 37958])).
% 9.54/6.99 tff(37961,plain,
% 9.54/6.99 (m_main_v_request(s259)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37960, 154, 37957])).
% 9.54/6.99 tff(37962,plain,
% 9.54/6.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s259, s260)) | node2(s259, s260))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s259, s260)) | node2(s259, s260))),
% 9.54/6.99 inference(rewrite,[status(thm)],[])).
% 9.54/6.99 tff(37963,plain,
% 9.54/6.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s259, s260)) | node2(s259, s260))),
% 9.54/6.99 inference(quant_inst,[status(thm)],[])).
% 9.54/6.99 tff(37964,plain,
% 9.54/6.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s259, s260)) | node2(s259, s260)),
% 9.54/6.99 inference(modus_ponens,[status(thm)],[37963, 37962])).
% 9.54/6.99 tff(37965,plain,
% 9.54/6.99 (node2(s259, s260)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37964, 7, 5801])).
% 9.54/6.99 tff(37966,plain,
% 9.54/6.99 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s259, c_ready)) | (~node2(s259, s260)) | m_main_v_state(s260, c_busy) | (~m_main_v_request(s259)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s259, c_ready)) | (~node2(s259, s260)) | m_main_v_state(s260, c_busy) | (~m_main_v_request(s259)))),
% 9.54/6.99 inference(rewrite,[status(thm)],[])).
% 9.54/6.99 tff(37967,plain,
% 9.54/6.99 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s259, c_ready)) | (~node2(s259, s260)) | m_main_v_state(s260, c_busy) | (~m_main_v_request(s259)))),
% 9.54/6.99 inference(quant_inst,[status(thm)],[])).
% 9.54/6.99 tff(37968,plain,
% 9.54/6.99 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s259, c_ready)) | (~node2(s259, s260)) | m_main_v_state(s260, c_busy) | (~m_main_v_request(s259))),
% 9.54/6.99 inference(modus_ponens,[status(thm)],[37967, 37966])).
% 9.54/6.99 tff(37969,plain,
% 9.54/6.99 ((~m_main_v_state(s259, c_ready)) | m_main_v_state(s260, c_busy) | (~m_main_v_request(s259))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37968, 191, 37965])).
% 9.54/6.99 tff(37970,plain,
% 9.54/6.99 ($false),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37969, 37961, 37716, 37705])).
% 9.54/6.99 tff(37971,plain,(always3(s257) | (~until5(s58)) | xuntil6(s276)), inference(lemma,lemma(discharge,[]))).
% 9.54/6.99 tff(37972,plain,
% 9.54/6.99 (always3(s257)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37971, 35000, 6320])).
% 9.54/6.99 tff(37973,plain,
% 9.54/6.99 (always3(s258)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[5829, 37972])).
% 9.54/6.99 tff(37974,plain,
% 9.54/6.99 (always3(s259)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[5817, 37973])).
% 9.54/6.99 tff(37975,plain,
% 9.54/6.99 (always3(s260)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[5805, 37974])).
% 9.54/6.99 tff(37976,plain,
% 9.54/6.99 (always3(s261)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[5793, 37975])).
% 9.54/6.99 tff(37977,plain,
% 9.54/6.99 (always3(s262)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[5781, 37976])).
% 9.54/6.99 tff(37978,plain,
% 9.54/6.99 (always3(s263)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[5769, 37977])).
% 9.54/6.99 tff(37979,plain,
% 9.54/6.99 (always3(s264)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[5757, 37978])).
% 9.54/6.99 tff(37980,plain,
% 9.54/6.99 (always3(s265)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[5745, 37979])).
% 9.54/6.99 tff(37981,plain,
% 9.54/6.99 (always3(s266)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[5733, 37980])).
% 9.54/6.99 tff(37982,plain,
% 9.54/6.99 (~m_main_v_state(s266, c_busy)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37018, 170, 37981])).
% 9.54/6.99 tff(37983,plain,
% 9.54/6.99 (~m_main_v_state(s260, c_busy)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37451, 170, 37975])).
% 9.54/6.99 tff(37984,plain,
% 9.54/6.99 (~m_main_v_state(s259, c_busy)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37711, 170, 37974])).
% 9.54/6.99 tff(37985,plain,
% 9.54/6.99 (m_main_v_state(s259, c_ready)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37715, 213, 37984])).
% 9.54/6.99 tff(37986,plain,
% 9.54/6.99 (~m_main_v_request(s259)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37969, 37985, 37983])).
% 9.54/6.99 tff(37987,plain,
% 9.54/6.99 (~node4(s259)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37960, 154, 37986])).
% 9.54/6.99 tff(37988,plain,
% 9.54/6.99 (~node4(s258)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37744, 37984])).
% 9.54/6.99 tff(37989,plain,
% 9.54/6.99 (~m_main_v_state(s258, c_busy)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37738, 170, 37973])).
% 9.54/6.99 tff(37990,plain,
% 9.54/6.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s257)) | (~m_main_v_state(s257, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s257)) | (~m_main_v_state(s257, c_busy)))),
% 9.54/6.99 inference(rewrite,[status(thm)],[])).
% 9.54/6.99 tff(37991,plain,
% 9.54/6.99 (((~m_main_v_state(s257, c_busy)) | (~always3(s257))) <=> ((~always3(s257)) | (~m_main_v_state(s257, c_busy)))),
% 9.54/6.99 inference(rewrite,[status(thm)],[])).
% 9.54/6.99 tff(37992,plain,
% 9.54/6.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s257, c_busy)) | (~always3(s257)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s257)) | (~m_main_v_state(s257, c_busy))))),
% 9.54/6.99 inference(monotonicity,[status(thm)],[37991])).
% 9.54/6.99 tff(37993,plain,
% 9.54/6.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s257, c_busy)) | (~always3(s257)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s257)) | (~m_main_v_state(s257, c_busy)))),
% 9.54/6.99 inference(transitivity,[status(thm)],[37992, 37990])).
% 9.54/6.99 tff(37994,plain,
% 9.54/6.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s257, c_busy)) | (~always3(s257)))),
% 9.54/6.99 inference(quant_inst,[status(thm)],[])).
% 9.54/6.99 tff(37995,plain,
% 9.54/6.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s257)) | (~m_main_v_state(s257, c_busy))),
% 9.54/6.99 inference(modus_ponens,[status(thm)],[37994, 37993])).
% 9.54/6.99 tff(37996,plain,
% 9.54/6.99 (~m_main_v_state(s257, c_busy)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[37995, 170, 37972])).
% 9.54/6.99 tff(37997,assumption,(~m_main_v_state(s257, c_busy)), introduced(assumption)).
% 9.54/6.99 tff(37998,assumption,(~m_main_v_state(s257, c_ready)), introduced(assumption)).
% 9.54/6.99 tff(37999,plain,
% 9.54/6.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s256, s257)) | node2(s256, s257))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s256, s257)) | node2(s256, s257))),
% 9.54/6.99 inference(rewrite,[status(thm)],[])).
% 9.54/6.99 tff(38000,plain,
% 9.54/6.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s256, s257)) | node2(s256, s257))),
% 9.54/6.99 inference(quant_inst,[status(thm)],[])).
% 9.54/6.99 tff(38001,plain,
% 9.54/6.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s256, s257)) | node2(s256, s257)),
% 9.54/6.99 inference(modus_ponens,[status(thm)],[38000, 37999])).
% 9.54/6.99 tff(38002,plain,
% 9.54/6.99 (node2(s256, s257)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[38001, 7, 5837])).
% 9.54/6.99 tff(38003,plain,
% 9.54/6.99 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s256, s257)) | m_main_v_state(s257, c_busy) | node1(s256) | m_main_v_state(s257, 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(s256, s257)) | m_main_v_state(s257, c_busy) | node1(s256) | m_main_v_state(s257, c_ready))),
% 9.54/6.99 inference(rewrite,[status(thm)],[])).
% 9.54/6.99 tff(38004,plain,
% 9.54/6.99 ((node1(s256) | m_main_v_state(s257, c_ready) | (~node2(s256, s257)) | m_main_v_state(s257, c_busy)) <=> ((~node2(s256, s257)) | m_main_v_state(s257, c_busy) | node1(s256) | m_main_v_state(s257, c_ready))),
% 9.54/6.99 inference(rewrite,[status(thm)],[])).
% 9.54/6.99 tff(38005,plain,
% 9.54/6.99 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s256) | m_main_v_state(s257, c_ready) | (~node2(s256, s257)) | m_main_v_state(s257, 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(s256, s257)) | m_main_v_state(s257, c_busy) | node1(s256) | m_main_v_state(s257, c_ready)))),
% 9.54/6.99 inference(monotonicity,[status(thm)],[38004])).
% 9.54/6.99 tff(38006,plain,
% 9.54/6.99 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s256) | m_main_v_state(s257, c_ready) | (~node2(s256, s257)) | m_main_v_state(s257, 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(s256, s257)) | m_main_v_state(s257, c_busy) | node1(s256) | m_main_v_state(s257, c_ready))),
% 9.54/6.99 inference(transitivity,[status(thm)],[38005, 38003])).
% 9.54/6.99 tff(38007,plain,
% 9.54/6.99 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s256) | m_main_v_state(s257, c_ready) | (~node2(s256, s257)) | m_main_v_state(s257, c_busy))),
% 9.54/6.99 inference(quant_inst,[status(thm)],[])).
% 9.54/6.99 tff(38008,plain,
% 9.54/6.99 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s256, s257)) | m_main_v_state(s257, c_busy) | node1(s256) | m_main_v_state(s257, c_ready)),
% 9.54/6.99 inference(modus_ponens,[status(thm)],[38007, 38006])).
% 9.54/6.99 tff(38009,plain,
% 9.54/6.99 (m_main_v_state(s257, c_busy) | node1(s256) | m_main_v_state(s257, c_ready)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[38008, 4166, 38002])).
% 9.54/6.99 tff(38010,plain,
% 9.54/6.99 (node1(s256)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[38009, 37997, 37998])).
% 9.54/6.99 tff(38011,plain,
% 9.54/6.99 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s256, c_ready) | (~node1(s256)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s256, c_ready) | (~node1(s256)))),
% 9.54/6.99 inference(rewrite,[status(thm)],[])).
% 9.54/6.99 tff(38012,plain,
% 9.54/6.99 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s256, c_ready) | (~node1(s256)))),
% 9.54/6.99 inference(quant_inst,[status(thm)],[])).
% 9.54/6.99 tff(38013,plain,
% 9.54/6.99 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s256, c_ready) | (~node1(s256))),
% 9.54/6.99 inference(modus_ponens,[status(thm)],[38012, 38011])).
% 9.54/6.99 tff(38014,plain,
% 9.54/6.99 (m_main_v_state(s256, c_ready)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[38013, 4151, 38010])).
% 9.54/6.99 tff(38015,plain,
% 9.54/6.99 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s256) | (~node1(s256)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s256) | (~node1(s256)))),
% 9.54/6.99 inference(rewrite,[status(thm)],[])).
% 9.54/6.99 tff(38016,plain,
% 9.54/6.99 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s256) | (~node1(s256)))),
% 9.54/6.99 inference(quant_inst,[status(thm)],[])).
% 9.54/6.99 tff(38017,plain,
% 9.54/6.99 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s256) | (~node1(s256))),
% 9.54/6.99 inference(modus_ponens,[status(thm)],[38016, 38015])).
% 9.54/6.99 tff(38018,plain,
% 9.54/6.99 (m_main_v_request(s256)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[38017, 14380, 38010])).
% 9.54/6.99 tff(38019,plain,
% 9.54/6.99 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s256, c_ready)) | (~node2(s256, s257)) | m_main_v_state(s257, c_busy) | (~m_main_v_request(s256)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s256, c_ready)) | (~node2(s256, s257)) | m_main_v_state(s257, c_busy) | (~m_main_v_request(s256)))),
% 9.54/6.99 inference(rewrite,[status(thm)],[])).
% 9.54/6.99 tff(38020,plain,
% 9.54/6.99 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s256, c_ready)) | (~node2(s256, s257)) | m_main_v_state(s257, c_busy) | (~m_main_v_request(s256)))),
% 9.54/6.99 inference(quant_inst,[status(thm)],[])).
% 9.54/6.99 tff(38021,plain,
% 9.54/6.99 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s256, c_ready)) | (~node2(s256, s257)) | m_main_v_state(s257, c_busy) | (~m_main_v_request(s256))),
% 9.54/6.99 inference(modus_ponens,[status(thm)],[38020, 38019])).
% 9.54/6.99 tff(38022,plain,
% 9.54/6.99 ((~m_main_v_state(s256, c_ready)) | m_main_v_state(s257, c_busy) | (~m_main_v_request(s256))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[38021, 191, 38002])).
% 9.54/6.99 tff(38023,plain,
% 9.54/6.99 ($false),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[38022, 38018, 38014, 37997])).
% 9.54/6.99 tff(38024,plain,(m_main_v_state(s257, c_busy) | m_main_v_state(s257, c_ready)), inference(lemma,lemma(discharge,[]))).
% 9.54/6.99 tff(38025,plain,
% 9.54/6.99 (m_main_v_state(s257, c_ready)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[38024, 37996])).
% 9.54/6.99 tff(38026,plain,
% 9.54/6.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s257, s258)) | node2(s257, s258))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s257, s258)) | node2(s257, s258))),
% 9.54/6.99 inference(rewrite,[status(thm)],[])).
% 9.54/6.99 tff(38027,plain,
% 9.54/6.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s257, s258)) | node2(s257, s258))),
% 9.54/6.99 inference(quant_inst,[status(thm)],[])).
% 9.54/6.99 tff(38028,plain,
% 9.54/6.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s257, s258)) | node2(s257, s258)),
% 9.54/6.99 inference(modus_ponens,[status(thm)],[38027, 38026])).
% 9.54/6.99 tff(38029,plain,
% 9.54/6.99 (node2(s257, s258)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[38028, 7, 5825])).
% 9.54/6.99 tff(38030,plain,
% 9.54/6.99 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s257, c_ready)) | (~node2(s257, s258)) | m_main_v_state(s258, c_busy) | (~m_main_v_request(s257)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s257, c_ready)) | (~node2(s257, s258)) | m_main_v_state(s258, c_busy) | (~m_main_v_request(s257)))),
% 9.54/6.99 inference(rewrite,[status(thm)],[])).
% 9.54/6.99 tff(38031,plain,
% 9.54/6.99 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s257, c_ready)) | (~node2(s257, s258)) | m_main_v_state(s258, c_busy) | (~m_main_v_request(s257)))),
% 9.54/6.99 inference(quant_inst,[status(thm)],[])).
% 9.54/6.99 tff(38032,plain,
% 9.54/6.99 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s257, c_ready)) | (~node2(s257, s258)) | m_main_v_state(s258, c_busy) | (~m_main_v_request(s257))),
% 9.54/6.99 inference(modus_ponens,[status(thm)],[38031, 38030])).
% 9.54/6.99 tff(38033,plain,
% 9.54/6.99 ((~m_main_v_state(s257, c_ready)) | m_main_v_state(s258, c_busy) | (~m_main_v_request(s257))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[38032, 191, 38029])).
% 9.54/6.99 tff(38034,plain,
% 9.54/6.99 (~m_main_v_request(s257)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[38033, 38025, 37989])).
% 9.54/6.99 tff(38035,plain,
% 9.54/6.99 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s257) | (~node4(s257)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s257) | (~node4(s257)))),
% 9.54/6.99 inference(rewrite,[status(thm)],[])).
% 9.54/6.99 tff(38036,plain,
% 9.54/6.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s257) | (~node4(s257)))),
% 9.54/6.99 inference(quant_inst,[status(thm)],[])).
% 9.54/6.99 tff(38037,plain,
% 9.54/6.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s257) | (~node4(s257))),
% 9.54/6.99 inference(modus_ponens,[status(thm)],[38036, 38035])).
% 9.54/6.99 tff(38038,plain,
% 9.54/6.99 (~node4(s257)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[38037, 154, 38034])).
% 9.54/6.99 tff(38039,assumption,(until5(s255)), introduced(assumption)).
% 9.54/6.99 tff(38040,assumption,(~xuntil6(s256)), introduced(assumption)).
% 9.54/6.99 tff(38041,assumption,(~always3(s256)), introduced(assumption)).
% 9.54/6.99 tff(38042,plain,
% 9.54/6.99 (~always3(s255)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[5853, 38041])).
% 9.54/6.99 tff(38043,plain,
% 9.54/6.99 (~node4(s255)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11558, 22, 38042])).
% 9.54/6.99 tff(38044,plain,
% 9.54/6.99 (xuntil6(s255) | node4(s255)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11565, 36, 38039])).
% 9.54/6.99 tff(38045,plain,
% 9.54/6.99 (xuntil6(s255)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[38044, 38043])).
% 9.54/6.99 tff(38046,plain,
% 9.54/6.99 (until5(s256)),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11571, 38045])).
% 9.54/6.99 tff(38047,plain,
% 9.54/6.99 (node4(s256) | (~until5(s256))),
% 9.54/6.99 inference(unit_resolution,[status(thm)],[11582, 36, 38040])).
% 9.54/6.99 tff(38048,plain,
% 9.54/6.99 (node4(s256)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38047, 38046])).
% 9.54/7.00 tff(38049,plain,
% 9.54/7.00 ($false),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11575, 22, 38041, 38048])).
% 9.54/7.00 tff(38050,plain,(always3(s256) | xuntil6(s256) | (~until5(s255))), inference(lemma,lemma(discharge,[]))).
% 9.54/7.00 tff(38051,plain,
% 9.54/7.00 (always3(s256)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38050, 38039, 38040])).
% 9.54/7.00 tff(38052,plain,
% 9.54/7.00 (((~![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)))),
% 9.54/7.00 inference(rewrite,[status(thm)],[])).
% 9.54/7.00 tff(38053,plain,
% 9.54/7.00 (((~m_main_v_state(s256, c_busy)) | (~always3(s256))) <=> ((~always3(s256)) | (~m_main_v_state(s256, c_busy)))),
% 9.54/7.00 inference(rewrite,[status(thm)],[])).
% 9.54/7.00 tff(38054,plain,
% 9.54/7.00 (((~![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))))),
% 9.54/7.00 inference(monotonicity,[status(thm)],[38053])).
% 9.54/7.00 tff(38055,plain,
% 9.54/7.00 (((~![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)))),
% 9.54/7.00 inference(transitivity,[status(thm)],[38054, 38052])).
% 9.54/7.00 tff(38056,plain,
% 9.54/7.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s256, c_busy)) | (~always3(s256)))),
% 9.54/7.00 inference(quant_inst,[status(thm)],[])).
% 9.54/7.00 tff(38057,plain,
% 9.54/7.00 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s256)) | (~m_main_v_state(s256, c_busy))),
% 9.54/7.00 inference(modus_ponens,[status(thm)],[38056, 38055])).
% 9.54/7.00 tff(38058,plain,
% 9.54/7.00 (~m_main_v_state(s256, c_busy)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38057, 170, 38051])).
% 9.54/7.00 tff(38059,plain,
% 9.54/7.00 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s256, c_busy) | m_main_v_state(s256, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s256, c_busy) | m_main_v_state(s256, c_ready))),
% 9.54/7.00 inference(rewrite,[status(thm)],[])).
% 9.54/7.00 tff(38060,plain,
% 9.54/7.00 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s256, c_busy) | m_main_v_state(s256, c_ready))),
% 9.54/7.00 inference(quant_inst,[status(thm)],[])).
% 9.54/7.00 tff(38061,plain,
% 9.54/7.00 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s256, c_busy) | m_main_v_state(s256, c_ready)),
% 9.54/7.00 inference(modus_ponens,[status(thm)],[38060, 38059])).
% 9.54/7.00 tff(38062,plain,
% 9.54/7.00 (m_main_v_state(s256, c_ready)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38061, 213, 38058])).
% 9.54/7.00 tff(38063,plain,
% 9.54/7.00 (~m_main_v_request(s256)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38022, 38062, 37997])).
% 9.54/7.00 tff(38064,plain,
% 9.54/7.00 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s256) | (~node4(s256)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s256) | (~node4(s256)))),
% 9.54/7.00 inference(rewrite,[status(thm)],[])).
% 9.54/7.00 tff(38065,plain,
% 9.54/7.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s256) | (~node4(s256)))),
% 9.54/7.00 inference(quant_inst,[status(thm)],[])).
% 9.54/7.00 tff(38066,plain,
% 9.54/7.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s256) | (~node4(s256))),
% 9.54/7.00 inference(modus_ponens,[status(thm)],[38065, 38064])).
% 9.54/7.00 tff(38067,plain,
% 9.54/7.00 (~node4(s256)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38066, 154, 38063])).
% 9.54/7.00 tff(38068,plain,
% 9.54/7.00 (~until5(s256)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38047, 38067])).
% 9.54/7.00 tff(38069,plain,
% 9.54/7.00 (~xuntil6(s255)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11571, 38068])).
% 9.54/7.00 tff(38070,plain,
% 9.54/7.00 (node4(s255)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38044, 38069])).
% 9.54/7.00 tff(38071,plain,
% 9.54/7.00 (((~![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)))),
% 9.54/7.00 inference(rewrite,[status(thm)],[])).
% 9.54/7.00 tff(38072,plain,
% 9.54/7.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s255) | (~node4(s255)))),
% 9.54/7.00 inference(quant_inst,[status(thm)],[])).
% 9.54/7.00 tff(38073,plain,
% 9.54/7.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s255) | (~node4(s255))),
% 9.54/7.00 inference(modus_ponens,[status(thm)],[38072, 38071])).
% 9.54/7.00 tff(38074,plain,
% 9.54/7.00 (m_main_v_request(s255)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38073, 154, 38070])).
% 9.54/7.00 tff(38075,plain,
% 9.54/7.00 (((~![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))),
% 9.54/7.00 inference(rewrite,[status(thm)],[])).
% 9.54/7.00 tff(38076,plain,
% 9.54/7.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s255, s256)) | node2(s255, s256))),
% 9.54/7.00 inference(quant_inst,[status(thm)],[])).
% 9.54/7.00 tff(38077,plain,
% 9.54/7.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s255, s256)) | node2(s255, s256)),
% 9.54/7.00 inference(modus_ponens,[status(thm)],[38076, 38075])).
% 9.54/7.00 tff(38078,plain,
% 9.54/7.00 (node2(s255, s256)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38077, 7, 5849])).
% 9.54/7.00 tff(38079,plain,
% 9.54/7.00 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.54/7.00 inference(rewrite,[status(thm)],[])).
% 9.54/7.00 tff(38080,plain,
% 9.54/7.00 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.54/7.00 inference(quant_inst,[status(thm)],[])).
% 9.54/7.00 tff(38081,plain,
% 9.54/7.00 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 9.54/7.00 inference(modus_ponens,[status(thm)],[38080, 38079])).
% 9.54/7.00 tff(38082,plain,
% 9.54/7.00 ((~m_main_v_state(s255, c_ready)) | m_main_v_state(s256, c_busy) | (~m_main_v_request(s255))),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38081, 191, 38078])).
% 9.54/7.00 tff(38083,plain,
% 9.54/7.00 (~m_main_v_state(s255, c_ready)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38082, 38074, 38058])).
% 9.54/7.00 tff(38084,plain,
% 9.54/7.00 (always3(s255)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11558, 22, 38070])).
% 9.54/7.00 tff(38085,plain,
% 9.54/7.00 (~m_main_v_state(s255, c_busy)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[34971, 170, 38084])).
% 9.54/7.00 tff(38086,plain,
% 9.54/7.00 (((~![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))),
% 9.54/7.00 inference(rewrite,[status(thm)],[])).
% 9.54/7.00 tff(38087,plain,
% 9.54/7.00 ((~![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))),
% 9.54/7.00 inference(quant_inst,[status(thm)],[])).
% 9.54/7.00 tff(38088,plain,
% 9.54/7.00 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s255, c_busy) | m_main_v_state(s255, c_ready)),
% 9.54/7.00 inference(modus_ponens,[status(thm)],[38087, 38086])).
% 9.54/7.00 tff(38089,plain,
% 9.54/7.00 ($false),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38088, 213, 38085, 38083])).
% 9.54/7.00 tff(38090,plain,((~until5(s255)) | xuntil6(s256) | m_main_v_state(s257, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.54/7.00 tff(38091,plain,
% 9.54/7.00 (xuntil6(s256)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38090, 37996, 38039])).
% 9.54/7.00 tff(38092,plain,
% 9.54/7.00 (until5(s257)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11588, 38091])).
% 9.54/7.00 tff(38093,plain,
% 9.54/7.00 (xuntil6(s257) | node4(s257)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11599, 36, 38092])).
% 9.54/7.00 tff(38094,plain,
% 9.54/7.00 (xuntil6(s257)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38093, 38038])).
% 9.54/7.00 tff(38095,plain,
% 9.54/7.00 (until5(s258)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11605, 38094])).
% 9.54/7.00 tff(38096,plain,
% 9.54/7.00 (xuntil6(s258)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11616, 36, 38095, 37988])).
% 9.54/7.00 tff(38097,plain,
% 9.54/7.00 (until5(s259)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11622, 38096])).
% 9.54/7.00 tff(38098,plain,
% 9.54/7.00 (xuntil6(s259)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11633, 36, 38097, 37987])).
% 9.54/7.00 tff(38099,plain,
% 9.54/7.00 (until5(s260)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11639, 38098])).
% 9.54/7.00 tff(38100,plain,
% 9.54/7.00 (~m_main_v_state(s261, c_busy)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[37428, 170, 37976])).
% 9.54/7.00 tff(38101,plain,
% 9.54/7.00 (~node4(s260)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[37457, 38100])).
% 9.54/7.00 tff(38102,plain,
% 9.54/7.00 (xuntil6(s260) | (~until5(s260))),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11650, 36, 38101])).
% 9.54/7.00 tff(38103,plain,
% 9.54/7.00 (xuntil6(s260)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38102, 38099])).
% 9.54/7.00 tff(38104,plain,
% 9.54/7.00 (until5(s261)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11656, 38103])).
% 9.54/7.00 tff(38105,plain,
% 9.54/7.00 (~m_main_v_state(s262, c_busy)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[37183, 170, 37977])).
% 9.54/7.00 tff(38106,assumption,(~m_main_v_state(s260, c_busy)), introduced(assumption)).
% 9.54/7.00 tff(38107,assumption,(~m_main_v_state(s260, c_ready)), introduced(assumption)).
% 9.54/7.00 tff(38108,plain,
% 9.54/7.00 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s259, s260)) | m_main_v_state(s260, c_busy) | node1(s259) | m_main_v_state(s260, 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(s259, s260)) | m_main_v_state(s260, c_busy) | node1(s259) | m_main_v_state(s260, c_ready))),
% 9.54/7.00 inference(rewrite,[status(thm)],[])).
% 9.54/7.00 tff(38109,plain,
% 9.54/7.00 ((node1(s259) | m_main_v_state(s260, c_ready) | (~node2(s259, s260)) | m_main_v_state(s260, c_busy)) <=> ((~node2(s259, s260)) | m_main_v_state(s260, c_busy) | node1(s259) | m_main_v_state(s260, c_ready))),
% 9.54/7.00 inference(rewrite,[status(thm)],[])).
% 9.54/7.00 tff(38110,plain,
% 9.54/7.00 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s259) | m_main_v_state(s260, c_ready) | (~node2(s259, s260)) | m_main_v_state(s260, 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(s259, s260)) | m_main_v_state(s260, c_busy) | node1(s259) | m_main_v_state(s260, c_ready)))),
% 9.54/7.00 inference(monotonicity,[status(thm)],[38109])).
% 9.54/7.00 tff(38111,plain,
% 9.54/7.00 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s259) | m_main_v_state(s260, c_ready) | (~node2(s259, s260)) | m_main_v_state(s260, 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(s259, s260)) | m_main_v_state(s260, c_busy) | node1(s259) | m_main_v_state(s260, c_ready))),
% 9.54/7.00 inference(transitivity,[status(thm)],[38110, 38108])).
% 9.54/7.00 tff(38112,plain,
% 9.54/7.00 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s259) | m_main_v_state(s260, c_ready) | (~node2(s259, s260)) | m_main_v_state(s260, c_busy))),
% 9.54/7.00 inference(quant_inst,[status(thm)],[])).
% 9.54/7.00 tff(38113,plain,
% 9.54/7.00 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s259, s260)) | m_main_v_state(s260, c_busy) | node1(s259) | m_main_v_state(s260, c_ready)),
% 9.54/7.00 inference(modus_ponens,[status(thm)],[38112, 38111])).
% 9.54/7.00 tff(38114,plain,
% 9.54/7.00 (m_main_v_state(s260, c_busy) | node1(s259) | m_main_v_state(s260, c_ready)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38113, 4166, 37965])).
% 9.54/7.00 tff(38115,plain,
% 9.54/7.00 (node1(s259)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38114, 38107, 38106])).
% 9.54/7.00 tff(38116,plain,
% 9.54/7.00 (node1(s259)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38114, 38106, 38107])).
% 9.54/7.00 tff(38117,assumption,(m_main_v_state(s259, c_ready)), introduced(assumption)).
% 9.54/7.00 tff(38118,plain,
% 9.54/7.00 (~m_main_v_request(s259)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[37969, 38106, 38117])).
% 9.54/7.00 tff(38119,plain,
% 9.54/7.00 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s259) | (~node1(s259)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s259) | (~node1(s259)))),
% 9.54/7.00 inference(rewrite,[status(thm)],[])).
% 9.54/7.00 tff(38120,plain,
% 9.54/7.00 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s259) | (~node1(s259)))),
% 9.54/7.00 inference(quant_inst,[status(thm)],[])).
% 9.54/7.00 tff(38121,plain,
% 9.54/7.00 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s259) | (~node1(s259))),
% 9.54/7.00 inference(modus_ponens,[status(thm)],[38120, 38119])).
% 9.54/7.00 tff(38122,plain,
% 9.54/7.00 ($false),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38121, 14380, 38118, 38116])).
% 9.54/7.00 tff(38123,plain,(m_main_v_state(s260, c_busy) | m_main_v_state(s260, c_ready) | (~m_main_v_state(s259, c_ready))), inference(lemma,lemma(discharge,[]))).
% 9.54/7.00 tff(38124,plain,
% 9.54/7.00 (~m_main_v_state(s259, c_ready)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38123, 38107, 38106])).
% 9.54/7.00 tff(38125,plain,
% 9.54/7.00 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s259, c_ready) | (~node1(s259)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s259, c_ready) | (~node1(s259)))),
% 9.54/7.00 inference(rewrite,[status(thm)],[])).
% 9.54/7.00 tff(38126,plain,
% 9.54/7.00 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s259, c_ready) | (~node1(s259)))),
% 9.54/7.00 inference(quant_inst,[status(thm)],[])).
% 9.54/7.00 tff(38127,plain,
% 9.54/7.00 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s259, c_ready) | (~node1(s259))),
% 9.54/7.00 inference(modus_ponens,[status(thm)],[38126, 38125])).
% 9.54/7.00 tff(38128,plain,
% 9.54/7.00 ($false),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38127, 4151, 38124, 38115])).
% 9.54/7.00 tff(38129,plain,(m_main_v_state(s260, c_ready) | m_main_v_state(s260, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.54/7.00 tff(38130,plain,
% 9.54/7.00 (m_main_v_state(s260, c_ready)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38129, 37983])).
% 9.54/7.00 tff(38131,assumption,(~m_main_v_state(s261, c_ready)), introduced(assumption)).
% 9.54/7.00 tff(38132,plain,
% 9.54/7.00 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s260, s261)) | m_main_v_state(s261, c_busy) | node1(s260) | m_main_v_state(s261, 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(s260, s261)) | m_main_v_state(s261, c_busy) | node1(s260) | m_main_v_state(s261, c_ready))),
% 9.54/7.00 inference(rewrite,[status(thm)],[])).
% 9.54/7.00 tff(38133,plain,
% 9.54/7.00 ((node1(s260) | m_main_v_state(s261, c_ready) | (~node2(s260, s261)) | m_main_v_state(s261, c_busy)) <=> ((~node2(s260, s261)) | m_main_v_state(s261, c_busy) | node1(s260) | m_main_v_state(s261, c_ready))),
% 9.54/7.00 inference(rewrite,[status(thm)],[])).
% 9.54/7.00 tff(38134,plain,
% 9.54/7.00 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s260) | m_main_v_state(s261, c_ready) | (~node2(s260, s261)) | m_main_v_state(s261, 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(s260, s261)) | m_main_v_state(s261, c_busy) | node1(s260) | m_main_v_state(s261, c_ready)))),
% 9.54/7.00 inference(monotonicity,[status(thm)],[38133])).
% 9.54/7.00 tff(38135,plain,
% 9.54/7.00 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s260) | m_main_v_state(s261, c_ready) | (~node2(s260, s261)) | m_main_v_state(s261, 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(s260, s261)) | m_main_v_state(s261, c_busy) | node1(s260) | m_main_v_state(s261, c_ready))),
% 9.54/7.00 inference(transitivity,[status(thm)],[38134, 38132])).
% 9.54/7.00 tff(38136,plain,
% 9.54/7.00 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s260) | m_main_v_state(s261, c_ready) | (~node2(s260, s261)) | m_main_v_state(s261, c_busy))),
% 9.54/7.00 inference(quant_inst,[status(thm)],[])).
% 9.54/7.00 tff(38137,plain,
% 9.54/7.00 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s260, s261)) | m_main_v_state(s261, c_busy) | node1(s260) | m_main_v_state(s261, c_ready)),
% 9.54/7.00 inference(modus_ponens,[status(thm)],[38136, 38135])).
% 9.54/7.00 tff(38138,plain,
% 9.54/7.00 (m_main_v_state(s261, c_busy) | node1(s260) | m_main_v_state(s261, c_ready)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38137, 4166, 37439])).
% 9.54/7.00 tff(38139,plain,
% 9.54/7.00 (node1(s260)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38138, 37430, 38131])).
% 9.54/7.00 tff(38140,assumption,(m_main_v_state(s260, c_ready)), introduced(assumption)).
% 9.54/7.00 tff(38141,plain,
% 9.54/7.00 (~m_main_v_request(s260)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[37443, 37430, 38140])).
% 9.54/7.00 tff(38142,plain,
% 9.54/7.00 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s260) | (~node1(s260)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s260) | (~node1(s260)))),
% 9.54/7.00 inference(rewrite,[status(thm)],[])).
% 9.54/7.00 tff(38143,plain,
% 9.54/7.00 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s260) | (~node1(s260)))),
% 9.54/7.00 inference(quant_inst,[status(thm)],[])).
% 9.54/7.00 tff(38144,plain,
% 9.54/7.00 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s260) | (~node1(s260))),
% 9.54/7.00 inference(modus_ponens,[status(thm)],[38143, 38142])).
% 9.54/7.00 tff(38145,plain,
% 9.54/7.00 ($false),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38144, 14380, 38141, 38139])).
% 9.54/7.00 tff(38146,plain,(m_main_v_state(s261, c_busy) | (~m_main_v_state(s260, c_ready)) | m_main_v_state(s261, c_ready)), inference(lemma,lemma(discharge,[]))).
% 9.54/7.00 tff(38147,plain,
% 9.54/7.00 (m_main_v_state(s261, c_ready)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38146, 38130, 38100])).
% 9.54/7.00 tff(38148,plain,
% 9.54/7.00 (~m_main_v_request(s261)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[37472, 38147, 38105])).
% 9.54/7.00 tff(38149,plain,
% 9.54/7.00 (~node4(s261)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[37476, 154, 38148])).
% 9.54/7.00 tff(38150,plain,
% 9.54/7.00 (xuntil6(s261) | (~until5(s261))),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11667, 36, 38149])).
% 9.54/7.00 tff(38151,plain,
% 9.54/7.00 (xuntil6(s261)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38150, 38104])).
% 9.54/7.00 tff(38152,plain,
% 9.54/7.00 (until5(s262)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11673, 38151])).
% 9.54/7.00 tff(38153,plain,
% 9.54/7.00 (xuntil6(s265)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[37189, 38152, 37982])).
% 9.54/7.00 tff(38154,plain,
% 9.54/7.00 (until5(s266)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11741, 38153])).
% 9.54/7.00 tff(38155,plain,
% 9.54/7.00 (always3(s267)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[5721, 37981])).
% 9.54/7.00 tff(38156,plain,
% 9.54/7.00 (~m_main_v_state(s267, c_busy)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[36725, 170, 38155])).
% 9.54/7.00 tff(38157,plain,
% 9.54/7.00 (~m_main_v_state(s265, c_busy)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[37069, 170, 37980])).
% 9.54/7.00 tff(38158,assumption,(~m_main_v_state(s265, c_ready)), introduced(assumption)).
% 9.54/7.00 tff(38159,plain,
% 9.54/7.00 ($false),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[37103, 213, 37071, 38158])).
% 9.54/7.00 tff(38160,plain,(m_main_v_state(s265, c_ready) | m_main_v_state(s265, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.54/7.00 tff(38161,plain,
% 9.54/7.00 (m_main_v_state(s265, c_ready)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38160, 38157])).
% 9.54/7.00 tff(38162,assumption,(~m_main_v_state(s266, c_ready)), introduced(assumption)).
% 9.54/7.00 tff(38163,plain,
% 9.54/7.00 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s265, s266)) | m_main_v_state(s266, c_busy) | node1(s265) | m_main_v_state(s266, 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(s265, s266)) | m_main_v_state(s266, c_busy) | node1(s265) | m_main_v_state(s266, c_ready))),
% 9.54/7.00 inference(rewrite,[status(thm)],[])).
% 9.54/7.00 tff(38164,plain,
% 9.54/7.00 ((node1(s265) | m_main_v_state(s266, c_ready) | (~node2(s265, s266)) | m_main_v_state(s266, c_busy)) <=> ((~node2(s265, s266)) | m_main_v_state(s266, c_busy) | node1(s265) | m_main_v_state(s266, c_ready))),
% 9.54/7.00 inference(rewrite,[status(thm)],[])).
% 9.54/7.00 tff(38165,plain,
% 9.54/7.00 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s265) | m_main_v_state(s266, c_ready) | (~node2(s265, s266)) | m_main_v_state(s266, 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(s265, s266)) | m_main_v_state(s266, c_busy) | node1(s265) | m_main_v_state(s266, c_ready)))),
% 9.54/7.00 inference(monotonicity,[status(thm)],[38164])).
% 9.54/7.00 tff(38166,plain,
% 9.54/7.00 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s265) | m_main_v_state(s266, c_ready) | (~node2(s265, s266)) | m_main_v_state(s266, 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(s265, s266)) | m_main_v_state(s266, c_busy) | node1(s265) | m_main_v_state(s266, c_ready))),
% 9.54/7.00 inference(transitivity,[status(thm)],[38165, 38163])).
% 9.54/7.00 tff(38167,plain,
% 9.54/7.00 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s265) | m_main_v_state(s266, c_ready) | (~node2(s265, s266)) | m_main_v_state(s266, c_busy))),
% 9.54/7.00 inference(quant_inst,[status(thm)],[])).
% 9.54/7.00 tff(38168,plain,
% 9.54/7.00 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s265, s266)) | m_main_v_state(s266, c_busy) | node1(s265) | m_main_v_state(s266, c_ready)),
% 9.54/7.00 inference(modus_ponens,[status(thm)],[38167, 38166])).
% 9.54/7.00 tff(38169,plain,
% 9.54/7.00 (m_main_v_state(s266, c_busy) | node1(s265) | m_main_v_state(s266, c_ready)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38168, 4166, 37108])).
% 9.54/7.00 tff(38170,plain,
% 9.54/7.00 (node1(s265)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38169, 37100, 38162])).
% 9.54/7.00 tff(38171,assumption,(m_main_v_state(s265, c_ready)), introduced(assumption)).
% 9.54/7.00 tff(38172,plain,
% 9.54/7.00 (~m_main_v_request(s265)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[37112, 37100, 38171])).
% 9.54/7.00 tff(38173,plain,
% 9.54/7.00 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s265) | (~node1(s265)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s265) | (~node1(s265)))),
% 9.54/7.00 inference(rewrite,[status(thm)],[])).
% 9.54/7.00 tff(38174,plain,
% 9.54/7.00 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s265) | (~node1(s265)))),
% 9.54/7.00 inference(quant_inst,[status(thm)],[])).
% 9.54/7.00 tff(38175,plain,
% 9.54/7.00 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s265) | (~node1(s265))),
% 9.54/7.00 inference(modus_ponens,[status(thm)],[38174, 38173])).
% 9.54/7.00 tff(38176,plain,
% 9.54/7.00 ($false),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38175, 14380, 38172, 38170])).
% 9.54/7.00 tff(38177,plain,(m_main_v_state(s266, c_busy) | m_main_v_state(s266, c_ready) | (~m_main_v_state(s265, c_ready))), inference(lemma,lemma(discharge,[]))).
% 9.54/7.00 tff(38178,plain,
% 9.54/7.00 (m_main_v_state(s266, c_ready)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38177, 38161, 37982])).
% 9.54/7.00 tff(38179,plain,
% 9.54/7.00 (~m_main_v_request(s266)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[37033, 38178, 38156])).
% 9.54/7.00 tff(38180,plain,
% 9.54/7.00 (~node4(s266)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[37037, 154, 38179])).
% 9.54/7.00 tff(38181,plain,
% 9.54/7.00 (xuntil6(s266) | (~until5(s266))),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11752, 36, 38180])).
% 9.54/7.00 tff(38182,plain,
% 9.54/7.00 (xuntil6(s266)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38181, 38154])).
% 9.54/7.00 tff(38183,plain,
% 9.54/7.00 (until5(s267)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11758, 38182])).
% 9.54/7.00 tff(38184,plain,
% 9.54/7.00 (always3(s268)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[5709, 38155])).
% 9.54/7.00 tff(38185,plain,
% 9.54/7.00 (~m_main_v_state(s268, c_busy)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[36702, 170, 38184])).
% 9.54/7.00 tff(38186,plain,
% 9.54/7.00 (~node4(s267)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[36731, 38185])).
% 9.54/7.00 tff(38187,plain,
% 9.54/7.00 (xuntil6(s267) | (~until5(s267))),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11769, 36, 38186])).
% 9.54/7.00 tff(38188,plain,
% 9.54/7.00 (xuntil6(s267)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38187, 38183])).
% 9.54/7.00 tff(38189,plain,
% 9.54/7.00 (until5(s268)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11775, 38188])).
% 9.54/7.00 tff(38190,plain,
% 9.54/7.00 (always3(s269)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[5697, 38184])).
% 9.54/7.00 tff(38191,plain,
% 9.54/7.00 (always3(s270)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[5685, 38190])).
% 9.54/7.00 tff(38192,plain,
% 9.54/7.00 (always3(s271)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[5673, 38191])).
% 9.54/7.00 tff(38193,plain,
% 9.54/7.00 (always3(s272)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[5661, 38192])).
% 9.54/7.00 tff(38194,plain,
% 9.54/7.00 (always3(s273)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[5649, 38193])).
% 9.54/7.00 tff(38195,plain,
% 9.54/7.00 (always3(s274)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[5637, 38194])).
% 9.54/7.00 tff(38196,plain,
% 9.54/7.00 (always3(s275)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[5625, 38195])).
% 9.54/7.00 tff(38197,plain,
% 9.54/7.00 (~m_main_v_state(s275, c_busy)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[35340, 170, 38196])).
% 9.54/7.00 tff(38198,plain,
% 9.54/7.00 (~m_main_v_state(s274, c_busy)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[35694, 170, 38195])).
% 9.54/7.00 tff(38199,plain,
% 9.54/7.00 (m_main_v_state(s274, c_ready)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[35729, 213, 38198])).
% 9.54/7.00 tff(38200,plain,
% 9.54/7.00 (~m_main_v_request(s274)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[35738, 38199, 38197])).
% 9.54/7.00 tff(38201,plain,
% 9.54/7.00 (~node4(s274)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[35742, 154, 38200])).
% 9.54/7.00 tff(38202,plain,
% 9.54/7.00 (always3(s276) | xuntil6(s276) | (~until5(s58))),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[35310, 5121])).
% 9.54/7.00 tff(38203,plain,
% 9.54/7.00 (always3(s276)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38202, 35000, 6320])).
% 9.54/7.00 tff(38204,plain,
% 9.54/7.00 (~m_main_v_state(s276, c_busy)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[35317, 170, 38203])).
% 9.54/7.00 tff(38205,plain,
% 9.54/7.00 (~node4(s275)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[35346, 38204])).
% 9.54/7.00 tff(38206,plain,
% 9.54/7.00 (always3(s277)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[5601, 38203])).
% 9.54/7.00 tff(38207,plain,
% 9.54/7.00 (~m_main_v_state(s277, c_busy)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[35354, 170, 38206])).
% 9.54/7.00 tff(38208,plain,
% 9.54/7.00 (m_main_v_state(s276, c_ready)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[35374, 38204])).
% 9.54/7.00 tff(38209,plain,
% 9.54/7.00 (~m_main_v_request(s276)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[35383, 38208, 38207])).
% 9.54/7.00 tff(38210,plain,
% 9.54/7.00 (~node4(s276)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[35387, 154, 38209])).
% 9.54/7.00 tff(38211,plain,
% 9.54/7.00 (~until5(s276)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[35011, 38210])).
% 9.54/7.00 tff(38212,plain,
% 9.54/7.00 (~xuntil6(s275)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11911, 38211])).
% 9.54/7.00 tff(38213,plain,
% 9.54/7.00 (~until5(s275)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11905, 36, 38212, 38205])).
% 9.54/7.00 tff(38214,plain,
% 9.54/7.00 (~xuntil6(s274)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11894, 38213])).
% 9.54/7.00 tff(38215,plain,
% 9.54/7.00 (~until5(s274)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11888, 36, 38214, 38201])).
% 9.54/7.00 tff(38216,plain,
% 9.54/7.00 (~xuntil6(s273)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11877, 38215])).
% 9.54/7.00 tff(38217,plain,
% 9.54/7.00 (~node4(s273)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[35723, 38198])).
% 9.54/7.00 tff(38218,plain,
% 9.54/7.00 (xuntil6(s273) | (~until5(s273))),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11871, 36, 38217])).
% 9.54/7.00 tff(38219,plain,
% 9.54/7.00 (~until5(s273)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38218, 38216])).
% 9.54/7.00 tff(38220,plain,
% 9.54/7.00 (~xuntil6(s272)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[11860, 38219])).
% 9.54/7.00 tff(38221,plain,
% 9.54/7.00 (~m_main_v_state(s273, c_busy)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[35717, 170, 38194])).
% 9.54/7.00 tff(38222,plain,
% 9.54/7.00 (~m_main_v_state(s272, c_busy)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[36040, 170, 38193])).
% 9.54/7.00 tff(38223,plain,
% 9.54/7.00 (~m_main_v_state(s271, c_busy)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[36063, 170, 38192])).
% 9.54/7.00 tff(38224,assumption,(~m_main_v_state(s271, c_busy)), introduced(assumption)).
% 9.54/7.00 tff(38225,assumption,(~m_main_v_state(s271, c_ready)), introduced(assumption)).
% 9.54/7.00 tff(38226,plain,
% 9.54/7.00 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s270, s271)) | m_main_v_state(s271, c_busy) | node1(s270) | m_main_v_state(s271, 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(s270, s271)) | m_main_v_state(s271, c_busy) | node1(s270) | m_main_v_state(s271, c_ready))),
% 9.54/7.00 inference(rewrite,[status(thm)],[])).
% 9.54/7.00 tff(38227,plain,
% 9.54/7.00 ((node1(s270) | m_main_v_state(s271, c_ready) | (~node2(s270, s271)) | m_main_v_state(s271, c_busy)) <=> ((~node2(s270, s271)) | m_main_v_state(s271, c_busy) | node1(s270) | m_main_v_state(s271, c_ready))),
% 9.54/7.00 inference(rewrite,[status(thm)],[])).
% 9.54/7.00 tff(38228,plain,
% 9.54/7.00 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s270) | m_main_v_state(s271, c_ready) | (~node2(s270, s271)) | m_main_v_state(s271, 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(s270, s271)) | m_main_v_state(s271, c_busy) | node1(s270) | m_main_v_state(s271, c_ready)))),
% 9.54/7.00 inference(monotonicity,[status(thm)],[38227])).
% 9.54/7.00 tff(38229,plain,
% 9.54/7.00 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s270) | m_main_v_state(s271, c_ready) | (~node2(s270, s271)) | m_main_v_state(s271, 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(s270, s271)) | m_main_v_state(s271, c_busy) | node1(s270) | m_main_v_state(s271, c_ready))),
% 9.54/7.00 inference(transitivity,[status(thm)],[38228, 38226])).
% 9.54/7.00 tff(38230,plain,
% 9.54/7.00 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s270) | m_main_v_state(s271, c_ready) | (~node2(s270, s271)) | m_main_v_state(s271, c_busy))),
% 9.54/7.00 inference(quant_inst,[status(thm)],[])).
% 9.54/7.00 tff(38231,plain,
% 9.54/7.00 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s270, s271)) | m_main_v_state(s271, c_busy) | node1(s270) | m_main_v_state(s271, c_ready)),
% 9.54/7.00 inference(modus_ponens,[status(thm)],[38230, 38229])).
% 9.54/7.00 tff(38232,plain,
% 9.54/7.00 (m_main_v_state(s271, c_busy) | node1(s270) | m_main_v_state(s271, c_ready)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38231, 4166, 36416])).
% 9.54/7.00 tff(38233,plain,
% 9.54/7.00 (node1(s270)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38232, 38225, 38224])).
% 9.54/7.00 tff(38234,plain,
% 9.54/7.00 (node1(s270)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38232, 38224, 38225])).
% 9.54/7.00 tff(38235,assumption,(m_main_v_state(s270, c_ready)), introduced(assumption)).
% 9.54/7.00 tff(38236,plain,
% 9.54/7.00 (~m_main_v_request(s270)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[36420, 38224, 38235])).
% 9.54/7.00 tff(38237,plain,
% 9.54/7.00 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s270) | (~node1(s270)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s270) | (~node1(s270)))),
% 9.54/7.00 inference(rewrite,[status(thm)],[])).
% 9.54/7.00 tff(38238,plain,
% 9.54/7.00 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s270) | (~node1(s270)))),
% 9.54/7.00 inference(quant_inst,[status(thm)],[])).
% 9.54/7.00 tff(38239,plain,
% 9.54/7.00 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s270) | (~node1(s270))),
% 9.54/7.00 inference(modus_ponens,[status(thm)],[38238, 38237])).
% 9.54/7.00 tff(38240,plain,
% 9.54/7.00 ($false),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38239, 14380, 38236, 38234])).
% 9.54/7.00 tff(38241,plain,(m_main_v_state(s271, c_busy) | m_main_v_state(s271, c_ready) | (~m_main_v_state(s270, c_ready))), inference(lemma,lemma(discharge,[]))).
% 9.54/7.00 tff(38242,plain,
% 9.54/7.00 (~m_main_v_state(s270, c_ready)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38241, 38225, 38224])).
% 9.54/7.00 tff(38243,plain,
% 9.54/7.00 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s270, c_ready) | (~node1(s270)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s270, c_ready) | (~node1(s270)))),
% 9.54/7.00 inference(rewrite,[status(thm)],[])).
% 9.54/7.00 tff(38244,plain,
% 9.54/7.00 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s270, c_ready) | (~node1(s270)))),
% 9.54/7.00 inference(quant_inst,[status(thm)],[])).
% 9.54/7.00 tff(38245,plain,
% 9.54/7.00 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s270, c_ready) | (~node1(s270))),
% 9.54/7.00 inference(modus_ponens,[status(thm)],[38244, 38243])).
% 9.54/7.00 tff(38246,plain,
% 9.54/7.00 ($false),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38245, 4151, 38242, 38233])).
% 9.54/7.00 tff(38247,plain,(m_main_v_state(s271, c_ready) | m_main_v_state(s271, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.54/7.00 tff(38248,plain,
% 9.54/7.00 (m_main_v_state(s271, c_ready)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38247, 38223])).
% 9.54/7.00 tff(38249,assumption,(~m_main_v_state(s272, c_ready)), introduced(assumption)).
% 9.54/7.00 tff(38250,plain,
% 9.54/7.00 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s271, s272)) | m_main_v_state(s272, c_busy) | node1(s271) | m_main_v_state(s272, 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(s271, s272)) | m_main_v_state(s272, c_busy) | node1(s271) | m_main_v_state(s272, c_ready))),
% 9.54/7.00 inference(rewrite,[status(thm)],[])).
% 9.54/7.00 tff(38251,plain,
% 9.54/7.00 ((node1(s271) | m_main_v_state(s272, c_ready) | (~node2(s271, s272)) | m_main_v_state(s272, c_busy)) <=> ((~node2(s271, s272)) | m_main_v_state(s272, c_busy) | node1(s271) | m_main_v_state(s272, c_ready))),
% 9.54/7.00 inference(rewrite,[status(thm)],[])).
% 9.54/7.00 tff(38252,plain,
% 9.54/7.00 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s271) | m_main_v_state(s272, c_ready) | (~node2(s271, s272)) | m_main_v_state(s272, 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(s271, s272)) | m_main_v_state(s272, c_busy) | node1(s271) | m_main_v_state(s272, c_ready)))),
% 9.54/7.00 inference(monotonicity,[status(thm)],[38251])).
% 9.54/7.00 tff(38253,plain,
% 9.54/7.00 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s271) | m_main_v_state(s272, c_ready) | (~node2(s271, s272)) | m_main_v_state(s272, 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(s271, s272)) | m_main_v_state(s272, c_busy) | node1(s271) | m_main_v_state(s272, c_ready))),
% 9.54/7.00 inference(transitivity,[status(thm)],[38252, 38250])).
% 9.54/7.00 tff(38254,plain,
% 9.54/7.00 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s271) | m_main_v_state(s272, c_ready) | (~node2(s271, s272)) | m_main_v_state(s272, c_busy))),
% 9.54/7.00 inference(quant_inst,[status(thm)],[])).
% 9.54/7.00 tff(38255,plain,
% 9.54/7.00 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s271, s272)) | m_main_v_state(s272, c_busy) | node1(s271) | m_main_v_state(s272, c_ready)),
% 9.54/7.00 inference(modus_ponens,[status(thm)],[38254, 38253])).
% 9.54/7.00 tff(38256,plain,
% 9.54/7.00 (m_main_v_state(s272, c_busy) | node1(s271) | m_main_v_state(s272, c_ready)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38255, 4166, 36051])).
% 9.54/7.00 tff(38257,plain,
% 9.54/7.00 (node1(s271)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[38256, 36042, 38249])).
% 9.54/7.00 tff(38258,assumption,(m_main_v_state(s271, c_ready)), introduced(assumption)).
% 9.54/7.00 tff(38259,plain,
% 9.54/7.00 (~m_main_v_request(s271)),
% 9.54/7.00 inference(unit_resolution,[status(thm)],[36055, 36042, 38258])).
% 9.54/7.00 tff(38260,plain,
% 9.54/7.00 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s271) | (~node1(s271)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s271) | (~node1(s271)))),
% 9.54/7.01 inference(rewrite,[status(thm)],[])).
% 9.54/7.01 tff(38261,plain,
% 9.54/7.01 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s271) | (~node1(s271)))),
% 9.54/7.01 inference(quant_inst,[status(thm)],[])).
% 9.54/7.01 tff(38262,plain,
% 9.54/7.01 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s271) | (~node1(s271))),
% 9.54/7.01 inference(modus_ponens,[status(thm)],[38261, 38260])).
% 9.54/7.01 tff(38263,plain,
% 9.54/7.01 ($false),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38262, 14380, 38259, 38257])).
% 9.54/7.01 tff(38264,plain,(m_main_v_state(s272, c_busy) | m_main_v_state(s272, c_ready) | (~m_main_v_state(s271, c_ready))), inference(lemma,lemma(discharge,[]))).
% 9.54/7.01 tff(38265,plain,
% 9.54/7.01 (m_main_v_state(s272, c_ready)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38264, 38248, 38222])).
% 9.54/7.01 tff(38266,plain,
% 9.54/7.01 (~m_main_v_request(s272)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[36084, 38265, 38221])).
% 9.54/7.01 tff(38267,plain,
% 9.54/7.01 (~node4(s272)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[36088, 154, 38266])).
% 9.54/7.01 tff(38268,plain,
% 9.54/7.01 (xuntil6(s272) | (~until5(s272))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11854, 36, 38267])).
% 9.54/7.01 tff(38269,plain,
% 9.54/7.01 (~until5(s272)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38268, 38220])).
% 9.54/7.01 tff(38270,plain,
% 9.54/7.01 (~xuntil6(s271)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11843, 38269])).
% 9.54/7.01 tff(38271,plain,
% 9.54/7.01 (~node4(s271)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[36069, 38222])).
% 9.54/7.01 tff(38272,plain,
% 9.54/7.01 (xuntil6(s271) | (~until5(s271))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11837, 36, 38271])).
% 9.54/7.01 tff(38273,plain,
% 9.54/7.01 (~until5(s271)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38272, 38270])).
% 9.54/7.01 tff(38274,plain,
% 9.54/7.01 (~xuntil6(s270)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11826, 38273])).
% 9.54/7.01 tff(38275,plain,
% 9.54/7.01 (~m_main_v_state(s270, c_busy)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[36376, 170, 38191])).
% 9.54/7.01 tff(38276,plain,
% 9.54/7.01 (~m_main_v_state(s269, c_busy)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[36399, 170, 38190])).
% 9.54/7.01 tff(38277,assumption,(~m_main_v_state(s269, c_busy)), introduced(assumption)).
% 9.54/7.01 tff(38278,assumption,(~m_main_v_state(s269, c_ready)), introduced(assumption)).
% 9.54/7.01 tff(38279,plain,
% 9.54/7.01 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s268, s269)) | m_main_v_state(s269, c_busy) | node1(s268) | m_main_v_state(s269, 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(s268, s269)) | m_main_v_state(s269, c_busy) | node1(s268) | m_main_v_state(s269, c_ready))),
% 9.54/7.01 inference(rewrite,[status(thm)],[])).
% 9.54/7.01 tff(38280,plain,
% 9.54/7.01 ((node1(s268) | m_main_v_state(s269, c_ready) | (~node2(s268, s269)) | m_main_v_state(s269, c_busy)) <=> ((~node2(s268, s269)) | m_main_v_state(s269, c_busy) | node1(s268) | m_main_v_state(s269, c_ready))),
% 9.54/7.01 inference(rewrite,[status(thm)],[])).
% 9.54/7.01 tff(38281,plain,
% 9.54/7.01 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s268) | m_main_v_state(s269, c_ready) | (~node2(s268, s269)) | m_main_v_state(s269, 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(s268, s269)) | m_main_v_state(s269, c_busy) | node1(s268) | m_main_v_state(s269, c_ready)))),
% 9.54/7.01 inference(monotonicity,[status(thm)],[38280])).
% 9.54/7.01 tff(38282,plain,
% 9.54/7.01 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s268) | m_main_v_state(s269, c_ready) | (~node2(s268, s269)) | m_main_v_state(s269, 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(s268, s269)) | m_main_v_state(s269, c_busy) | node1(s268) | m_main_v_state(s269, c_ready))),
% 9.54/7.01 inference(transitivity,[status(thm)],[38281, 38279])).
% 9.54/7.01 tff(38283,plain,
% 9.54/7.01 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s268) | m_main_v_state(s269, c_ready) | (~node2(s268, s269)) | m_main_v_state(s269, c_busy))),
% 9.54/7.01 inference(quant_inst,[status(thm)],[])).
% 9.54/7.01 tff(38284,plain,
% 9.54/7.01 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s268, s269)) | m_main_v_state(s269, c_busy) | node1(s268) | m_main_v_state(s269, c_ready)),
% 9.54/7.01 inference(modus_ponens,[status(thm)],[38283, 38282])).
% 9.54/7.01 tff(38285,plain,
% 9.54/7.01 (m_main_v_state(s269, c_busy) | node1(s268) | m_main_v_state(s269, c_ready)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38284, 4166, 36742])).
% 9.54/7.01 tff(38286,plain,
% 9.54/7.01 (node1(s268)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38285, 38278, 38277])).
% 9.54/7.01 tff(38287,plain,
% 9.54/7.01 (node1(s268)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38285, 38277, 38278])).
% 9.54/7.01 tff(38288,assumption,(m_main_v_state(s268, c_ready)), introduced(assumption)).
% 9.54/7.01 tff(38289,plain,
% 9.54/7.01 (~m_main_v_request(s268)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[36746, 38277, 38288])).
% 9.54/7.01 tff(38290,plain,
% 9.54/7.01 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s268) | (~node1(s268)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s268) | (~node1(s268)))),
% 9.54/7.01 inference(rewrite,[status(thm)],[])).
% 9.54/7.01 tff(38291,plain,
% 9.54/7.01 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s268) | (~node1(s268)))),
% 9.54/7.01 inference(quant_inst,[status(thm)],[])).
% 9.54/7.01 tff(38292,plain,
% 9.54/7.01 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s268) | (~node1(s268))),
% 9.54/7.01 inference(modus_ponens,[status(thm)],[38291, 38290])).
% 9.54/7.01 tff(38293,plain,
% 9.54/7.01 ($false),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38292, 14380, 38289, 38287])).
% 9.54/7.01 tff(38294,plain,(m_main_v_state(s269, c_busy) | m_main_v_state(s269, c_ready) | (~m_main_v_state(s268, c_ready))), inference(lemma,lemma(discharge,[]))).
% 9.54/7.01 tff(38295,plain,
% 9.54/7.01 (~m_main_v_state(s268, c_ready)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38294, 38278, 38277])).
% 9.54/7.01 tff(38296,plain,
% 9.54/7.01 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s268, c_ready) | (~node1(s268)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s268, c_ready) | (~node1(s268)))),
% 9.54/7.01 inference(rewrite,[status(thm)],[])).
% 9.54/7.01 tff(38297,plain,
% 9.54/7.01 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s268, c_ready) | (~node1(s268)))),
% 9.54/7.01 inference(quant_inst,[status(thm)],[])).
% 9.54/7.01 tff(38298,plain,
% 9.54/7.01 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s268, c_ready) | (~node1(s268))),
% 9.54/7.01 inference(modus_ponens,[status(thm)],[38297, 38296])).
% 9.54/7.01 tff(38299,plain,
% 9.54/7.01 ($false),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38298, 4151, 38295, 38286])).
% 9.54/7.01 tff(38300,plain,(m_main_v_state(s269, c_ready) | m_main_v_state(s269, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.54/7.01 tff(38301,plain,
% 9.54/7.01 (m_main_v_state(s269, c_ready)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38300, 38276])).
% 9.54/7.01 tff(38302,assumption,(~m_main_v_state(s270, c_ready)), introduced(assumption)).
% 9.54/7.01 tff(38303,plain,
% 9.54/7.01 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s269, s270)) | m_main_v_state(s270, c_busy) | node1(s269) | m_main_v_state(s270, 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(s269, s270)) | m_main_v_state(s270, c_busy) | node1(s269) | m_main_v_state(s270, c_ready))),
% 9.54/7.01 inference(rewrite,[status(thm)],[])).
% 9.54/7.01 tff(38304,plain,
% 9.54/7.01 ((node1(s269) | m_main_v_state(s270, c_ready) | (~node2(s269, s270)) | m_main_v_state(s270, c_busy)) <=> ((~node2(s269, s270)) | m_main_v_state(s270, c_busy) | node1(s269) | m_main_v_state(s270, c_ready))),
% 9.54/7.01 inference(rewrite,[status(thm)],[])).
% 9.54/7.01 tff(38305,plain,
% 9.54/7.01 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s269) | m_main_v_state(s270, c_ready) | (~node2(s269, s270)) | m_main_v_state(s270, 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(s269, s270)) | m_main_v_state(s270, c_busy) | node1(s269) | m_main_v_state(s270, c_ready)))),
% 9.54/7.01 inference(monotonicity,[status(thm)],[38304])).
% 9.54/7.01 tff(38306,plain,
% 9.54/7.01 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s269) | m_main_v_state(s270, c_ready) | (~node2(s269, s270)) | m_main_v_state(s270, 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(s269, s270)) | m_main_v_state(s270, c_busy) | node1(s269) | m_main_v_state(s270, c_ready))),
% 9.54/7.01 inference(transitivity,[status(thm)],[38305, 38303])).
% 9.54/7.01 tff(38307,plain,
% 9.54/7.01 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s269) | m_main_v_state(s270, c_ready) | (~node2(s269, s270)) | m_main_v_state(s270, c_busy))),
% 9.54/7.01 inference(quant_inst,[status(thm)],[])).
% 9.54/7.01 tff(38308,plain,
% 9.54/7.01 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s269, s270)) | m_main_v_state(s270, c_busy) | node1(s269) | m_main_v_state(s270, c_ready)),
% 9.54/7.01 inference(modus_ponens,[status(thm)],[38307, 38306])).
% 9.54/7.01 tff(38309,plain,
% 9.54/7.01 (m_main_v_state(s270, c_busy) | node1(s269) | m_main_v_state(s270, c_ready)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38308, 4166, 36387])).
% 9.54/7.01 tff(38310,plain,
% 9.54/7.01 (node1(s269)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38309, 36378, 38302])).
% 9.54/7.01 tff(38311,assumption,(m_main_v_state(s269, c_ready)), introduced(assumption)).
% 9.54/7.01 tff(38312,plain,
% 9.54/7.01 (~m_main_v_request(s269)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[36391, 36378, 38311])).
% 9.54/7.01 tff(38313,plain,
% 9.54/7.01 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s269) | (~node1(s269)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s269) | (~node1(s269)))),
% 9.54/7.01 inference(rewrite,[status(thm)],[])).
% 9.54/7.01 tff(38314,plain,
% 9.54/7.01 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s269) | (~node1(s269)))),
% 9.54/7.01 inference(quant_inst,[status(thm)],[])).
% 9.54/7.01 tff(38315,plain,
% 9.54/7.01 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s269) | (~node1(s269))),
% 9.54/7.01 inference(modus_ponens,[status(thm)],[38314, 38313])).
% 9.54/7.01 tff(38316,plain,
% 9.54/7.01 ($false),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38315, 14380, 38312, 38310])).
% 9.54/7.01 tff(38317,plain,(m_main_v_state(s270, c_busy) | (~m_main_v_state(s269, c_ready)) | m_main_v_state(s270, c_ready)), inference(lemma,lemma(discharge,[]))).
% 9.54/7.01 tff(38318,plain,
% 9.54/7.01 (m_main_v_state(s270, c_ready)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38317, 38301, 38275])).
% 9.54/7.01 tff(38319,plain,
% 9.54/7.01 (~m_main_v_request(s270)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[36420, 38318, 38223])).
% 9.54/7.01 tff(38320,plain,
% 9.54/7.01 (~node4(s270)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[36424, 154, 38319])).
% 9.54/7.01 tff(38321,plain,
% 9.54/7.01 (xuntil6(s270) | (~until5(s270))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11820, 36, 38320])).
% 9.54/7.01 tff(38322,plain,
% 9.54/7.01 (~until5(s270)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38321, 38274])).
% 9.54/7.01 tff(38323,plain,
% 9.54/7.01 (~xuntil6(s269)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11809, 38322])).
% 9.54/7.01 tff(38324,plain,
% 9.54/7.01 (~node4(s269)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[36405, 38275])).
% 9.54/7.01 tff(38325,plain,
% 9.54/7.01 (xuntil6(s269) | (~until5(s269))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11803, 36, 38324])).
% 9.54/7.01 tff(38326,plain,
% 9.54/7.01 (~until5(s269)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38325, 38323])).
% 9.54/7.01 tff(38327,plain,
% 9.54/7.01 (~xuntil6(s268)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11792, 38326])).
% 9.54/7.01 tff(38328,assumption,(~m_main_v_state(s267, c_ready)), introduced(assumption)).
% 9.54/7.01 tff(38329,assumption,(~m_main_v_state(s267, c_busy)), introduced(assumption)).
% 9.54/7.01 tff(38330,plain,
% 9.54/7.01 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s266, s267)) | m_main_v_state(s267, c_busy) | node1(s266) | m_main_v_state(s267, 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(s266, s267)) | m_main_v_state(s267, c_busy) | node1(s266) | m_main_v_state(s267, c_ready))),
% 9.54/7.01 inference(rewrite,[status(thm)],[])).
% 9.54/7.01 tff(38331,plain,
% 9.54/7.01 ((node1(s266) | m_main_v_state(s267, c_ready) | (~node2(s266, s267)) | m_main_v_state(s267, c_busy)) <=> ((~node2(s266, s267)) | m_main_v_state(s267, c_busy) | node1(s266) | m_main_v_state(s267, c_ready))),
% 9.54/7.01 inference(rewrite,[status(thm)],[])).
% 9.54/7.01 tff(38332,plain,
% 9.54/7.01 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s266) | m_main_v_state(s267, c_ready) | (~node2(s266, s267)) | m_main_v_state(s267, 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(s266, s267)) | m_main_v_state(s267, c_busy) | node1(s266) | m_main_v_state(s267, c_ready)))),
% 9.54/7.01 inference(monotonicity,[status(thm)],[38331])).
% 9.54/7.01 tff(38333,plain,
% 9.54/7.01 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s266) | m_main_v_state(s267, c_ready) | (~node2(s266, s267)) | m_main_v_state(s267, 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(s266, s267)) | m_main_v_state(s267, c_busy) | node1(s266) | m_main_v_state(s267, c_ready))),
% 9.54/7.01 inference(transitivity,[status(thm)],[38332, 38330])).
% 9.54/7.01 tff(38334,plain,
% 9.54/7.01 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s266) | m_main_v_state(s267, c_ready) | (~node2(s266, s267)) | m_main_v_state(s267, c_busy))),
% 9.54/7.01 inference(quant_inst,[status(thm)],[])).
% 9.54/7.01 tff(38335,plain,
% 9.54/7.01 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s266, s267)) | m_main_v_state(s267, c_busy) | node1(s266) | m_main_v_state(s267, c_ready)),
% 9.54/7.01 inference(modus_ponens,[status(thm)],[38334, 38333])).
% 9.54/7.01 tff(38336,plain,
% 9.54/7.01 (m_main_v_state(s267, c_busy) | node1(s266) | m_main_v_state(s267, c_ready)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38335, 4166, 37029])).
% 9.54/7.01 tff(38337,plain,
% 9.54/7.01 (node1(s266)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38336, 38329, 38328])).
% 9.54/7.01 tff(38338,assumption,(m_main_v_state(s266, c_ready)), introduced(assumption)).
% 9.54/7.01 tff(38339,plain,
% 9.54/7.01 (~m_main_v_request(s266)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[37033, 38329, 38338])).
% 9.54/7.01 tff(38340,plain,
% 9.54/7.01 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s266) | (~node1(s266)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s266) | (~node1(s266)))),
% 9.54/7.01 inference(rewrite,[status(thm)],[])).
% 9.54/7.01 tff(38341,plain,
% 9.54/7.01 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s266) | (~node1(s266)))),
% 9.54/7.01 inference(quant_inst,[status(thm)],[])).
% 9.54/7.01 tff(38342,plain,
% 9.54/7.01 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s266) | (~node1(s266))),
% 9.54/7.01 inference(modus_ponens,[status(thm)],[38341, 38340])).
% 9.54/7.01 tff(38343,plain,
% 9.54/7.01 ($false),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38342, 14380, 38339, 38337])).
% 9.54/7.01 tff(38344,plain,(m_main_v_state(s267, c_busy) | m_main_v_state(s267, c_ready) | (~m_main_v_state(s266, c_ready))), inference(lemma,lemma(discharge,[]))).
% 9.54/7.01 tff(38345,plain,
% 9.54/7.01 (m_main_v_state(s267, c_ready)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38344, 38178, 38156])).
% 9.54/7.01 tff(38346,assumption,(~m_main_v_state(s268, c_ready)), introduced(assumption)).
% 9.54/7.01 tff(38347,plain,
% 9.54/7.01 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s267, s268)) | m_main_v_state(s268, c_busy) | node1(s267) | m_main_v_state(s268, 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(s267, s268)) | m_main_v_state(s268, c_busy) | node1(s267) | m_main_v_state(s268, c_ready))),
% 9.54/7.01 inference(rewrite,[status(thm)],[])).
% 9.54/7.01 tff(38348,plain,
% 9.54/7.01 ((node1(s267) | m_main_v_state(s268, c_ready) | (~node2(s267, s268)) | m_main_v_state(s268, c_busy)) <=> ((~node2(s267, s268)) | m_main_v_state(s268, c_busy) | node1(s267) | m_main_v_state(s268, c_ready))),
% 9.54/7.01 inference(rewrite,[status(thm)],[])).
% 9.54/7.01 tff(38349,plain,
% 9.54/7.01 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s267) | m_main_v_state(s268, c_ready) | (~node2(s267, s268)) | m_main_v_state(s268, 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(s267, s268)) | m_main_v_state(s268, c_busy) | node1(s267) | m_main_v_state(s268, c_ready)))),
% 9.54/7.01 inference(monotonicity,[status(thm)],[38348])).
% 9.54/7.01 tff(38350,plain,
% 9.54/7.01 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s267) | m_main_v_state(s268, c_ready) | (~node2(s267, s268)) | m_main_v_state(s268, 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(s267, s268)) | m_main_v_state(s268, c_busy) | node1(s267) | m_main_v_state(s268, c_ready))),
% 9.54/7.01 inference(transitivity,[status(thm)],[38349, 38347])).
% 9.54/7.01 tff(38351,plain,
% 9.54/7.01 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s267) | m_main_v_state(s268, c_ready) | (~node2(s267, s268)) | m_main_v_state(s268, c_busy))),
% 9.54/7.01 inference(quant_inst,[status(thm)],[])).
% 9.54/7.01 tff(38352,plain,
% 9.54/7.01 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s267, s268)) | m_main_v_state(s268, c_busy) | node1(s267) | m_main_v_state(s268, c_ready)),
% 9.54/7.01 inference(modus_ponens,[status(thm)],[38351, 38350])).
% 9.54/7.01 tff(38353,plain,
% 9.54/7.01 (m_main_v_state(s268, c_busy) | node1(s267) | m_main_v_state(s268, c_ready)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38352, 4166, 36713])).
% 9.54/7.01 tff(38354,plain,
% 9.54/7.01 (node1(s267)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38353, 36704, 38346])).
% 9.54/7.01 tff(38355,assumption,(m_main_v_state(s267, c_ready)), introduced(assumption)).
% 9.54/7.01 tff(38356,plain,
% 9.54/7.01 (~m_main_v_request(s267)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[36717, 36704, 38355])).
% 9.54/7.01 tff(38357,plain,
% 9.54/7.01 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s267) | (~node1(s267)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s267) | (~node1(s267)))),
% 9.54/7.01 inference(rewrite,[status(thm)],[])).
% 9.54/7.01 tff(38358,plain,
% 9.54/7.01 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s267) | (~node1(s267)))),
% 9.54/7.01 inference(quant_inst,[status(thm)],[])).
% 9.54/7.01 tff(38359,plain,
% 9.54/7.01 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s267) | (~node1(s267))),
% 9.54/7.01 inference(modus_ponens,[status(thm)],[38358, 38357])).
% 9.54/7.01 tff(38360,plain,
% 9.54/7.01 ($false),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38359, 14380, 38356, 38354])).
% 9.54/7.01 tff(38361,plain,(m_main_v_state(s268, c_busy) | m_main_v_state(s268, c_ready) | (~m_main_v_state(s267, c_ready))), inference(lemma,lemma(discharge,[]))).
% 9.54/7.01 tff(38362,plain,
% 9.54/7.01 (m_main_v_state(s268, c_ready)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38361, 38345, 38185])).
% 9.54/7.01 tff(38363,plain,
% 9.54/7.01 (~m_main_v_request(s268)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[36746, 38362, 38276])).
% 9.54/7.01 tff(38364,plain,
% 9.54/7.01 (~node4(s268)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[36750, 154, 38363])).
% 9.54/7.01 tff(38365,plain,
% 9.54/7.01 (xuntil6(s268) | (~until5(s268))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11786, 36, 38364])).
% 9.54/7.01 tff(38366,plain,
% 9.54/7.01 ($false),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38365, 38327, 38189])).
% 9.54/7.01 tff(38367,plain,(xuntil6(s276) | (~until5(s255)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.54/7.01 tff(38368,plain,
% 9.54/7.01 (xuntil6(s276)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38367, 34999, 5071])).
% 9.54/7.01 tff(38369,plain,
% 9.54/7.01 (until5(s277)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11928, 38368])).
% 9.54/7.01 tff(38370,assumption,(~xuntil6(s314)), introduced(assumption)).
% 9.54/7.01 tff(38371,assumption,(~always3(s314)), introduced(assumption)).
% 9.54/7.01 tff(38372,plain,
% 9.54/7.01 (~always3(s313)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5157, 38371])).
% 9.54/7.01 tff(38373,plain,
% 9.54/7.01 (~node4(s313)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12544, 22, 38372])).
% 9.54/7.01 tff(38374,plain,
% 9.54/7.01 (~node4(s314)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12561, 22, 38371])).
% 9.54/7.01 tff(38375,plain,
% 9.54/7.01 (node4(s314) | (~until5(s314))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12568, 36, 38370])).
% 9.54/7.01 tff(38376,plain,
% 9.54/7.01 (~until5(s314)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38375, 38374])).
% 9.54/7.01 tff(38377,plain,
% 9.54/7.01 (~xuntil6(s313)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12557, 38376])).
% 9.54/7.01 tff(38378,plain,
% 9.54/7.01 (~until5(s313)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12551, 36, 38377, 38373])).
% 9.54/7.01 tff(38379,plain,
% 9.54/7.01 (~xuntil6(s312)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12540, 38378])).
% 9.54/7.01 tff(38380,plain,
% 9.54/7.01 (~always3(s312)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5169, 38372])).
% 9.54/7.01 tff(38381,plain,
% 9.54/7.01 (~node4(s312)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12527, 22, 38380])).
% 9.54/7.01 tff(38382,plain,
% 9.54/7.01 (xuntil6(s312) | (~until5(s312))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12534, 36, 38381])).
% 9.54/7.01 tff(38383,plain,
% 9.54/7.01 (~until5(s312)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38382, 38379])).
% 9.54/7.01 tff(38384,plain,
% 9.54/7.01 (~xuntil6(s311)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12523, 38383])).
% 9.54/7.01 tff(38385,plain,
% 9.54/7.01 (~always3(s311)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5181, 38380])).
% 9.54/7.01 tff(38386,plain,
% 9.54/7.01 (~node4(s311)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12510, 22, 38385])).
% 9.54/7.01 tff(38387,plain,
% 9.54/7.01 (xuntil6(s311) | (~until5(s311))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12517, 36, 38386])).
% 9.54/7.01 tff(38388,plain,
% 9.54/7.01 (~until5(s311)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38387, 38384])).
% 9.54/7.01 tff(38389,plain,
% 9.54/7.01 (~xuntil6(s310)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12506, 38388])).
% 9.54/7.01 tff(38390,plain,
% 9.54/7.01 (~always3(s310)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5193, 38385])).
% 9.54/7.01 tff(38391,plain,
% 9.54/7.01 (~node4(s310)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12493, 22, 38390])).
% 9.54/7.01 tff(38392,plain,
% 9.54/7.01 (xuntil6(s310) | (~until5(s310))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12500, 36, 38391])).
% 9.54/7.01 tff(38393,plain,
% 9.54/7.01 (~until5(s310)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38392, 38389])).
% 9.54/7.01 tff(38394,plain,
% 9.54/7.01 (~xuntil6(s309)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12489, 38393])).
% 9.54/7.01 tff(38395,plain,
% 9.54/7.01 (~always3(s309)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5205, 38390])).
% 9.54/7.01 tff(38396,plain,
% 9.54/7.01 (~node4(s309)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12476, 22, 38395])).
% 9.54/7.01 tff(38397,plain,
% 9.54/7.01 (xuntil6(s309) | (~until5(s309))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12483, 36, 38396])).
% 9.54/7.01 tff(38398,plain,
% 9.54/7.01 (~until5(s309)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38397, 38394])).
% 9.54/7.01 tff(38399,plain,
% 9.54/7.01 (~xuntil6(s308)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12472, 38398])).
% 9.54/7.01 tff(38400,plain,
% 9.54/7.01 (~always3(s308)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5217, 38395])).
% 9.54/7.01 tff(38401,plain,
% 9.54/7.01 (~node4(s308)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12459, 22, 38400])).
% 9.54/7.01 tff(38402,plain,
% 9.54/7.01 (xuntil6(s308) | (~until5(s308))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12466, 36, 38401])).
% 9.54/7.01 tff(38403,plain,
% 9.54/7.01 (~until5(s308)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38402, 38399])).
% 9.54/7.01 tff(38404,plain,
% 9.54/7.01 (~xuntil6(s307)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12455, 38403])).
% 9.54/7.01 tff(38405,plain,
% 9.54/7.01 (~always3(s307)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5229, 38400])).
% 9.54/7.01 tff(38406,plain,
% 9.54/7.01 (~node4(s307)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12442, 22, 38405])).
% 9.54/7.01 tff(38407,plain,
% 9.54/7.01 (xuntil6(s307) | (~until5(s307))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12449, 36, 38406])).
% 9.54/7.01 tff(38408,plain,
% 9.54/7.01 (~until5(s307)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38407, 38404])).
% 9.54/7.01 tff(38409,plain,
% 9.54/7.01 (~xuntil6(s306)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12438, 38408])).
% 9.54/7.01 tff(38410,plain,
% 9.54/7.01 (~always3(s306)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5241, 38405])).
% 9.54/7.01 tff(38411,plain,
% 9.54/7.01 (~node4(s306)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12425, 22, 38410])).
% 9.54/7.01 tff(38412,plain,
% 9.54/7.01 (xuntil6(s306) | (~until5(s306))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12432, 36, 38411])).
% 9.54/7.01 tff(38413,plain,
% 9.54/7.01 (~until5(s306)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38412, 38409])).
% 9.54/7.01 tff(38414,plain,
% 9.54/7.01 (~xuntil6(s305)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12421, 38413])).
% 9.54/7.01 tff(38415,plain,
% 9.54/7.01 (~always3(s305)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5253, 38410])).
% 9.54/7.01 tff(38416,plain,
% 9.54/7.01 (~node4(s305)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12408, 22, 38415])).
% 9.54/7.01 tff(38417,plain,
% 9.54/7.01 (xuntil6(s305) | (~until5(s305))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12415, 36, 38416])).
% 9.54/7.01 tff(38418,plain,
% 9.54/7.01 (~until5(s305)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38417, 38414])).
% 9.54/7.01 tff(38419,plain,
% 9.54/7.01 (~xuntil6(s304)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12404, 38418])).
% 9.54/7.01 tff(38420,plain,
% 9.54/7.01 (~always3(s304)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5265, 38415])).
% 9.54/7.01 tff(38421,plain,
% 9.54/7.01 (~node4(s304)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12391, 22, 38420])).
% 9.54/7.01 tff(38422,plain,
% 9.54/7.01 (xuntil6(s304) | (~until5(s304))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12398, 36, 38421])).
% 9.54/7.01 tff(38423,plain,
% 9.54/7.01 (~until5(s304)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38422, 38419])).
% 9.54/7.01 tff(38424,plain,
% 9.54/7.01 (~xuntil6(s303)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12387, 38423])).
% 9.54/7.01 tff(38425,plain,
% 9.54/7.01 (~always3(s303)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5277, 38420])).
% 9.54/7.01 tff(38426,plain,
% 9.54/7.01 (~node4(s303)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12374, 22, 38425])).
% 9.54/7.01 tff(38427,plain,
% 9.54/7.01 (xuntil6(s303) | (~until5(s303))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12381, 36, 38426])).
% 9.54/7.01 tff(38428,plain,
% 9.54/7.01 (~until5(s303)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38427, 38424])).
% 9.54/7.01 tff(38429,plain,
% 9.54/7.01 (~xuntil6(s302)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12370, 38428])).
% 9.54/7.01 tff(38430,plain,
% 9.54/7.01 (~always3(s302)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5289, 38425])).
% 9.54/7.01 tff(38431,plain,
% 9.54/7.01 (~node4(s302)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12357, 22, 38430])).
% 9.54/7.01 tff(38432,plain,
% 9.54/7.01 (xuntil6(s302) | (~until5(s302))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12364, 36, 38431])).
% 9.54/7.01 tff(38433,plain,
% 9.54/7.01 (~until5(s302)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38432, 38429])).
% 9.54/7.01 tff(38434,plain,
% 9.54/7.01 (~xuntil6(s301)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12353, 38433])).
% 9.54/7.01 tff(38435,plain,
% 9.54/7.01 (~always3(s301)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5301, 38430])).
% 9.54/7.01 tff(38436,plain,
% 9.54/7.01 (~node4(s301)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12340, 22, 38435])).
% 9.54/7.01 tff(38437,plain,
% 9.54/7.01 (xuntil6(s301) | (~until5(s301))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12347, 36, 38436])).
% 9.54/7.01 tff(38438,plain,
% 9.54/7.01 (~until5(s301)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38437, 38434])).
% 9.54/7.01 tff(38439,plain,
% 9.54/7.01 (~xuntil6(s300)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12336, 38438])).
% 9.54/7.01 tff(38440,plain,
% 9.54/7.01 (~always3(s300)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5313, 38435])).
% 9.54/7.01 tff(38441,plain,
% 9.54/7.01 (~node4(s300)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12323, 22, 38440])).
% 9.54/7.01 tff(38442,plain,
% 9.54/7.01 (xuntil6(s300) | (~until5(s300))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12330, 36, 38441])).
% 9.54/7.01 tff(38443,plain,
% 9.54/7.01 (~until5(s300)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38442, 38439])).
% 9.54/7.01 tff(38444,plain,
% 9.54/7.01 (~xuntil6(s299)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12319, 38443])).
% 9.54/7.01 tff(38445,plain,
% 9.54/7.01 (~always3(s299)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5325, 38440])).
% 9.54/7.01 tff(38446,plain,
% 9.54/7.01 (~node4(s299)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12306, 22, 38445])).
% 9.54/7.01 tff(38447,plain,
% 9.54/7.01 (xuntil6(s299) | (~until5(s299))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12313, 36, 38446])).
% 9.54/7.01 tff(38448,plain,
% 9.54/7.01 (~until5(s299)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38447, 38444])).
% 9.54/7.01 tff(38449,plain,
% 9.54/7.01 (~xuntil6(s298)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12302, 38448])).
% 9.54/7.01 tff(38450,plain,
% 9.54/7.01 (~always3(s298)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5337, 38445])).
% 9.54/7.01 tff(38451,plain,
% 9.54/7.01 (~node4(s298)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12289, 22, 38450])).
% 9.54/7.01 tff(38452,plain,
% 9.54/7.01 (xuntil6(s298) | (~until5(s298))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12296, 36, 38451])).
% 9.54/7.01 tff(38453,plain,
% 9.54/7.01 (~until5(s298)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38452, 38449])).
% 9.54/7.01 tff(38454,plain,
% 9.54/7.01 (~xuntil6(s297)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12285, 38453])).
% 9.54/7.01 tff(38455,plain,
% 9.54/7.01 (~always3(s297)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5349, 38450])).
% 9.54/7.01 tff(38456,plain,
% 9.54/7.01 (~node4(s297)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12272, 22, 38455])).
% 9.54/7.01 tff(38457,plain,
% 9.54/7.01 (xuntil6(s297) | (~until5(s297))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12279, 36, 38456])).
% 9.54/7.01 tff(38458,plain,
% 9.54/7.01 (~until5(s297)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38457, 38454])).
% 9.54/7.01 tff(38459,plain,
% 9.54/7.01 (~xuntil6(s296)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12268, 38458])).
% 9.54/7.01 tff(38460,plain,
% 9.54/7.01 (~always3(s296)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5361, 38455])).
% 9.54/7.01 tff(38461,plain,
% 9.54/7.01 (~node4(s296)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12255, 22, 38460])).
% 9.54/7.01 tff(38462,plain,
% 9.54/7.01 (xuntil6(s296) | (~until5(s296))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12262, 36, 38461])).
% 9.54/7.01 tff(38463,plain,
% 9.54/7.01 (~until5(s296)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38462, 38459])).
% 9.54/7.01 tff(38464,plain,
% 9.54/7.01 (~xuntil6(s295)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12251, 38463])).
% 9.54/7.01 tff(38465,plain,
% 9.54/7.01 (~always3(s295)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5373, 38460])).
% 9.54/7.01 tff(38466,plain,
% 9.54/7.01 (~node4(s295)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12238, 22, 38465])).
% 9.54/7.01 tff(38467,plain,
% 9.54/7.01 (xuntil6(s295) | (~until5(s295))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12245, 36, 38466])).
% 9.54/7.01 tff(38468,plain,
% 9.54/7.01 (~until5(s295)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38467, 38464])).
% 9.54/7.01 tff(38469,plain,
% 9.54/7.01 (~xuntil6(s294)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12234, 38468])).
% 9.54/7.01 tff(38470,plain,
% 9.54/7.01 (~always3(s294)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5385, 38465])).
% 9.54/7.01 tff(38471,plain,
% 9.54/7.01 (~node4(s294)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12221, 22, 38470])).
% 9.54/7.01 tff(38472,plain,
% 9.54/7.01 (xuntil6(s294) | (~until5(s294))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12228, 36, 38471])).
% 9.54/7.01 tff(38473,plain,
% 9.54/7.01 (~until5(s294)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38472, 38469])).
% 9.54/7.01 tff(38474,plain,
% 9.54/7.01 (~xuntil6(s293)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12217, 38473])).
% 9.54/7.01 tff(38475,plain,
% 9.54/7.01 (~always3(s293)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5397, 38470])).
% 9.54/7.01 tff(38476,plain,
% 9.54/7.01 (~node4(s293)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12204, 22, 38475])).
% 9.54/7.01 tff(38477,plain,
% 9.54/7.01 (xuntil6(s293) | (~until5(s293))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12211, 36, 38476])).
% 9.54/7.01 tff(38478,plain,
% 9.54/7.01 (~until5(s293)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38477, 38474])).
% 9.54/7.01 tff(38479,plain,
% 9.54/7.01 (~xuntil6(s292)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12200, 38478])).
% 9.54/7.01 tff(38480,plain,
% 9.54/7.01 (~always3(s292)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5409, 38475])).
% 9.54/7.01 tff(38481,plain,
% 9.54/7.01 (~node4(s292)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12187, 22, 38480])).
% 9.54/7.01 tff(38482,plain,
% 9.54/7.01 (xuntil6(s292) | (~until5(s292))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12194, 36, 38481])).
% 9.54/7.01 tff(38483,plain,
% 9.54/7.01 (~until5(s292)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38482, 38479])).
% 9.54/7.01 tff(38484,plain,
% 9.54/7.01 (~xuntil6(s291)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12183, 38483])).
% 9.54/7.01 tff(38485,plain,
% 9.54/7.01 (~always3(s291)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5421, 38480])).
% 9.54/7.01 tff(38486,plain,
% 9.54/7.01 (~node4(s291)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12170, 22, 38485])).
% 9.54/7.01 tff(38487,plain,
% 9.54/7.01 (xuntil6(s291) | (~until5(s291))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12177, 36, 38486])).
% 9.54/7.01 tff(38488,plain,
% 9.54/7.01 (~until5(s291)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38487, 38484])).
% 9.54/7.01 tff(38489,plain,
% 9.54/7.01 (~xuntil6(s290)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12166, 38488])).
% 9.54/7.01 tff(38490,plain,
% 9.54/7.01 (~always3(s290)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5433, 38485])).
% 9.54/7.01 tff(38491,plain,
% 9.54/7.01 (~node4(s290)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12153, 22, 38490])).
% 9.54/7.01 tff(38492,plain,
% 9.54/7.01 (xuntil6(s290) | (~until5(s290))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12160, 36, 38491])).
% 9.54/7.01 tff(38493,plain,
% 9.54/7.01 (~until5(s290)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38492, 38489])).
% 9.54/7.01 tff(38494,plain,
% 9.54/7.01 (~xuntil6(s289)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12149, 38493])).
% 9.54/7.01 tff(38495,plain,
% 9.54/7.01 (~always3(s289)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5445, 38490])).
% 9.54/7.01 tff(38496,plain,
% 9.54/7.01 (~node4(s289)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12136, 22, 38495])).
% 9.54/7.01 tff(38497,plain,
% 9.54/7.01 (xuntil6(s289) | (~until5(s289))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12143, 36, 38496])).
% 9.54/7.01 tff(38498,plain,
% 9.54/7.01 (~until5(s289)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38497, 38494])).
% 9.54/7.01 tff(38499,plain,
% 9.54/7.01 (~xuntil6(s288)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12132, 38498])).
% 9.54/7.01 tff(38500,plain,
% 9.54/7.01 (~always3(s288)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5457, 38495])).
% 9.54/7.01 tff(38501,plain,
% 9.54/7.01 (~node4(s288)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12119, 22, 38500])).
% 9.54/7.01 tff(38502,plain,
% 9.54/7.01 (xuntil6(s288) | (~until5(s288))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12126, 36, 38501])).
% 9.54/7.01 tff(38503,plain,
% 9.54/7.01 (~until5(s288)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38502, 38499])).
% 9.54/7.01 tff(38504,plain,
% 9.54/7.01 (~xuntil6(s287)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12115, 38503])).
% 9.54/7.01 tff(38505,plain,
% 9.54/7.01 (~always3(s287)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5469, 38500])).
% 9.54/7.01 tff(38506,plain,
% 9.54/7.01 (~node4(s287)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12102, 22, 38505])).
% 9.54/7.01 tff(38507,plain,
% 9.54/7.01 (xuntil6(s287) | (~until5(s287))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12109, 36, 38506])).
% 9.54/7.01 tff(38508,plain,
% 9.54/7.01 (~until5(s287)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38507, 38504])).
% 9.54/7.01 tff(38509,plain,
% 9.54/7.01 (~xuntil6(s286)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12098, 38508])).
% 9.54/7.01 tff(38510,plain,
% 9.54/7.01 (~always3(s286)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5481, 38505])).
% 9.54/7.01 tff(38511,plain,
% 9.54/7.01 (~node4(s286)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12085, 22, 38510])).
% 9.54/7.01 tff(38512,plain,
% 9.54/7.01 (xuntil6(s286) | (~until5(s286))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12092, 36, 38511])).
% 9.54/7.01 tff(38513,plain,
% 9.54/7.01 (~until5(s286)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38512, 38509])).
% 9.54/7.01 tff(38514,plain,
% 9.54/7.01 (~xuntil6(s285)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12081, 38513])).
% 9.54/7.01 tff(38515,plain,
% 9.54/7.01 (~always3(s285)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5493, 38510])).
% 9.54/7.01 tff(38516,plain,
% 9.54/7.01 (~node4(s285)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12068, 22, 38515])).
% 9.54/7.01 tff(38517,plain,
% 9.54/7.01 (xuntil6(s285) | (~until5(s285))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12075, 36, 38516])).
% 9.54/7.01 tff(38518,plain,
% 9.54/7.01 (~until5(s285)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38517, 38514])).
% 9.54/7.01 tff(38519,plain,
% 9.54/7.01 (~xuntil6(s284)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12064, 38518])).
% 9.54/7.01 tff(38520,plain,
% 9.54/7.01 (~always3(s284)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5505, 38515])).
% 9.54/7.01 tff(38521,plain,
% 9.54/7.01 (~node4(s284)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12051, 22, 38520])).
% 9.54/7.01 tff(38522,plain,
% 9.54/7.01 (xuntil6(s284) | (~until5(s284))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12058, 36, 38521])).
% 9.54/7.01 tff(38523,plain,
% 9.54/7.01 (~until5(s284)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38522, 38519])).
% 9.54/7.01 tff(38524,plain,
% 9.54/7.01 (~xuntil6(s283)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12047, 38523])).
% 9.54/7.01 tff(38525,plain,
% 9.54/7.01 (~always3(s283)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5517, 38520])).
% 9.54/7.01 tff(38526,plain,
% 9.54/7.01 (~node4(s283)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12034, 22, 38525])).
% 9.54/7.01 tff(38527,plain,
% 9.54/7.01 (xuntil6(s283) | (~until5(s283))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12041, 36, 38526])).
% 9.54/7.01 tff(38528,plain,
% 9.54/7.01 (~until5(s283)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38527, 38524])).
% 9.54/7.01 tff(38529,plain,
% 9.54/7.01 (~xuntil6(s282)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12030, 38528])).
% 9.54/7.01 tff(38530,plain,
% 9.54/7.01 (~always3(s282)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5529, 38525])).
% 9.54/7.01 tff(38531,plain,
% 9.54/7.01 (~node4(s282)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12017, 22, 38530])).
% 9.54/7.01 tff(38532,plain,
% 9.54/7.01 (xuntil6(s282) | (~until5(s282))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12024, 36, 38531])).
% 9.54/7.01 tff(38533,plain,
% 9.54/7.01 (~until5(s282)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38532, 38529])).
% 9.54/7.01 tff(38534,plain,
% 9.54/7.01 (~xuntil6(s281)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12013, 38533])).
% 9.54/7.01 tff(38535,plain,
% 9.54/7.01 (~always3(s281)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5541, 38530])).
% 9.54/7.01 tff(38536,plain,
% 9.54/7.01 (~node4(s281)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12000, 22, 38535])).
% 9.54/7.01 tff(38537,plain,
% 9.54/7.01 (xuntil6(s281) | (~until5(s281))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[12007, 36, 38536])).
% 9.54/7.01 tff(38538,plain,
% 9.54/7.01 (~until5(s281)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38537, 38534])).
% 9.54/7.01 tff(38539,plain,
% 9.54/7.01 (~xuntil6(s280)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11996, 38538])).
% 9.54/7.01 tff(38540,plain,
% 9.54/7.01 (~always3(s280)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5553, 38535])).
% 9.54/7.01 tff(38541,plain,
% 9.54/7.01 (~node4(s280)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11983, 22, 38540])).
% 9.54/7.01 tff(38542,plain,
% 9.54/7.01 (xuntil6(s280) | (~until5(s280))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11990, 36, 38541])).
% 9.54/7.01 tff(38543,plain,
% 9.54/7.01 (~until5(s280)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38542, 38539])).
% 9.54/7.01 tff(38544,plain,
% 9.54/7.01 (~xuntil6(s279)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11979, 38543])).
% 9.54/7.01 tff(38545,plain,
% 9.54/7.01 (~always3(s279)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5565, 38540])).
% 9.54/7.01 tff(38546,plain,
% 9.54/7.01 (~node4(s279)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11966, 22, 38545])).
% 9.54/7.01 tff(38547,plain,
% 9.54/7.01 (xuntil6(s279) | (~until5(s279))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11973, 36, 38546])).
% 9.54/7.01 tff(38548,plain,
% 9.54/7.01 (~until5(s279)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38547, 38544])).
% 9.54/7.01 tff(38549,plain,
% 9.54/7.01 (~xuntil6(s278)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11962, 38548])).
% 9.54/7.01 tff(38550,plain,
% 9.54/7.01 (~always3(s278)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5577, 38545])).
% 9.54/7.01 tff(38551,plain,
% 9.54/7.01 (~node4(s278)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11949, 22, 38550])).
% 9.54/7.01 tff(38552,plain,
% 9.54/7.01 (xuntil6(s278) | (~until5(s278))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11956, 36, 38551])).
% 9.54/7.01 tff(38553,plain,
% 9.54/7.01 (~until5(s278)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38552, 38549])).
% 9.54/7.01 tff(38554,plain,
% 9.54/7.01 (~xuntil6(s277)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11945, 38553])).
% 9.54/7.01 tff(38555,plain,
% 9.54/7.01 (~always3(s277)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5589, 38550])).
% 9.54/7.01 tff(38556,plain,
% 9.54/7.01 (~node4(s277)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11932, 22, 38555])).
% 9.54/7.01 tff(38557,plain,
% 9.54/7.01 (xuntil6(s277) | (~until5(s277))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11939, 36, 38556])).
% 9.54/7.01 tff(38558,plain,
% 9.54/7.01 (~until5(s277)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38557, 38554])).
% 9.54/7.01 tff(38559,plain,
% 9.54/7.01 (~xuntil6(s276)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11928, 38558])).
% 9.54/7.01 tff(38560,plain,
% 9.54/7.01 (~always3(s276)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5601, 38555])).
% 9.54/7.01 tff(38561,plain,
% 9.54/7.01 (~node4(s276)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11915, 22, 38560])).
% 9.54/7.01 tff(38562,plain,
% 9.54/7.01 (xuntil6(s276) | (~until5(s276))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11922, 36, 38561])).
% 9.54/7.01 tff(38563,plain,
% 9.54/7.01 (~until5(s276)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38562, 38559])).
% 9.54/7.01 tff(38564,plain,
% 9.54/7.01 (~xuntil6(s275)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11911, 38563])).
% 9.54/7.01 tff(38565,plain,
% 9.54/7.01 (~always3(s275)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5613, 38560])).
% 9.54/7.01 tff(38566,plain,
% 9.54/7.01 (~node4(s275)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11898, 22, 38565])).
% 9.54/7.01 tff(38567,plain,
% 9.54/7.01 (xuntil6(s275) | (~until5(s275))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11905, 36, 38566])).
% 9.54/7.01 tff(38568,plain,
% 9.54/7.01 (~until5(s275)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38567, 38564])).
% 9.54/7.01 tff(38569,plain,
% 9.54/7.01 (~xuntil6(s274)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11894, 38568])).
% 9.54/7.01 tff(38570,plain,
% 9.54/7.01 (~always3(s274)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5625, 38565])).
% 9.54/7.01 tff(38571,plain,
% 9.54/7.01 (~node4(s274)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11881, 22, 38570])).
% 9.54/7.01 tff(38572,plain,
% 9.54/7.01 (xuntil6(s274) | (~until5(s274))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11888, 36, 38571])).
% 9.54/7.01 tff(38573,plain,
% 9.54/7.01 (~until5(s274)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38572, 38569])).
% 9.54/7.01 tff(38574,plain,
% 9.54/7.01 (~xuntil6(s273)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11877, 38573])).
% 9.54/7.01 tff(38575,plain,
% 9.54/7.01 (~always3(s273)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5637, 38570])).
% 9.54/7.01 tff(38576,plain,
% 9.54/7.01 (~node4(s273)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11864, 22, 38575])).
% 9.54/7.01 tff(38577,plain,
% 9.54/7.01 (xuntil6(s273) | (~until5(s273))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11871, 36, 38576])).
% 9.54/7.01 tff(38578,plain,
% 9.54/7.01 (~until5(s273)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38577, 38574])).
% 9.54/7.01 tff(38579,plain,
% 9.54/7.01 (~xuntil6(s272)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11860, 38578])).
% 9.54/7.01 tff(38580,plain,
% 9.54/7.01 (~always3(s272)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5649, 38575])).
% 9.54/7.01 tff(38581,plain,
% 9.54/7.01 (~node4(s272)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11847, 22, 38580])).
% 9.54/7.01 tff(38582,plain,
% 9.54/7.01 (xuntil6(s272) | (~until5(s272))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11854, 36, 38581])).
% 9.54/7.01 tff(38583,plain,
% 9.54/7.01 (~until5(s272)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38582, 38579])).
% 9.54/7.01 tff(38584,plain,
% 9.54/7.01 (~xuntil6(s271)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11843, 38583])).
% 9.54/7.01 tff(38585,plain,
% 9.54/7.01 (~always3(s271)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5661, 38580])).
% 9.54/7.01 tff(38586,plain,
% 9.54/7.01 (~node4(s271)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11830, 22, 38585])).
% 9.54/7.01 tff(38587,plain,
% 9.54/7.01 (xuntil6(s271) | (~until5(s271))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11837, 36, 38586])).
% 9.54/7.01 tff(38588,plain,
% 9.54/7.01 (~until5(s271)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38587, 38584])).
% 9.54/7.01 tff(38589,plain,
% 9.54/7.01 (~xuntil6(s270)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11826, 38588])).
% 9.54/7.01 tff(38590,plain,
% 9.54/7.01 (~always3(s270)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5673, 38585])).
% 9.54/7.01 tff(38591,plain,
% 9.54/7.01 (~node4(s270)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11813, 22, 38590])).
% 9.54/7.01 tff(38592,plain,
% 9.54/7.01 (xuntil6(s270) | (~until5(s270))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11820, 36, 38591])).
% 9.54/7.01 tff(38593,plain,
% 9.54/7.01 (~until5(s270)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38592, 38589])).
% 9.54/7.01 tff(38594,plain,
% 9.54/7.01 (~xuntil6(s269)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11809, 38593])).
% 9.54/7.01 tff(38595,plain,
% 9.54/7.01 (~always3(s269)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5685, 38590])).
% 9.54/7.01 tff(38596,plain,
% 9.54/7.01 (~node4(s269)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11796, 22, 38595])).
% 9.54/7.01 tff(38597,plain,
% 9.54/7.01 (xuntil6(s269) | (~until5(s269))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11803, 36, 38596])).
% 9.54/7.01 tff(38598,plain,
% 9.54/7.01 (~until5(s269)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38597, 38594])).
% 9.54/7.01 tff(38599,plain,
% 9.54/7.01 (~xuntil6(s268)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11792, 38598])).
% 9.54/7.01 tff(38600,plain,
% 9.54/7.01 (~always3(s268)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5697, 38595])).
% 9.54/7.01 tff(38601,plain,
% 9.54/7.01 (~node4(s268)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11779, 22, 38600])).
% 9.54/7.01 tff(38602,plain,
% 9.54/7.01 (xuntil6(s268) | (~until5(s268))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11786, 36, 38601])).
% 9.54/7.01 tff(38603,plain,
% 9.54/7.01 (~until5(s268)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38602, 38599])).
% 9.54/7.01 tff(38604,plain,
% 9.54/7.01 (~xuntil6(s267)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11775, 38603])).
% 9.54/7.01 tff(38605,plain,
% 9.54/7.01 (~always3(s267)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5709, 38600])).
% 9.54/7.01 tff(38606,plain,
% 9.54/7.01 (~node4(s267)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11762, 22, 38605])).
% 9.54/7.01 tff(38607,plain,
% 9.54/7.01 (xuntil6(s267) | (~until5(s267))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11769, 36, 38606])).
% 9.54/7.01 tff(38608,plain,
% 9.54/7.01 (~until5(s267)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38607, 38604])).
% 9.54/7.01 tff(38609,plain,
% 9.54/7.01 (~xuntil6(s266)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11758, 38608])).
% 9.54/7.01 tff(38610,plain,
% 9.54/7.01 (~always3(s266)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5721, 38605])).
% 9.54/7.01 tff(38611,plain,
% 9.54/7.01 (~node4(s266)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11745, 22, 38610])).
% 9.54/7.01 tff(38612,plain,
% 9.54/7.01 (xuntil6(s266) | (~until5(s266))),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11752, 36, 38611])).
% 9.54/7.01 tff(38613,plain,
% 9.54/7.01 (~until5(s266)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38612, 38609])).
% 9.54/7.01 tff(38614,plain,
% 9.54/7.01 (~xuntil6(s265)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[11741, 38613])).
% 9.54/7.01 tff(38615,plain,
% 9.54/7.01 (~always3(s265)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5733, 38610])).
% 9.54/7.01 tff(38616,plain,
% 9.54/7.01 (~always3(s264)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5745, 38615])).
% 9.54/7.01 tff(38617,plain,
% 9.54/7.01 (~always3(s263)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5757, 38616])).
% 9.54/7.01 tff(38618,plain,
% 9.54/7.01 (~always3(s262)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5769, 38617])).
% 9.54/7.01 tff(38619,plain,
% 9.54/7.01 (~always3(s261)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5781, 38618])).
% 9.54/7.01 tff(38620,plain,
% 9.54/7.01 (~always3(s260)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5793, 38619])).
% 9.54/7.01 tff(38621,plain,
% 9.54/7.01 (~always3(s259)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5805, 38620])).
% 9.54/7.01 tff(38622,plain,
% 9.54/7.01 (~always3(s258)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5817, 38621])).
% 9.54/7.01 tff(38623,plain,
% 9.54/7.01 (~always3(s257)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5829, 38622])).
% 9.54/7.01 tff(38624,plain,
% 9.54/7.01 (~always3(s256)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5841, 38623])).
% 9.54/7.01 tff(38625,plain,
% 9.54/7.01 (~always3(s255)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5853, 38624])).
% 9.54/7.01 tff(38626,plain,
% 9.54/7.01 (~always3(s254)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5865, 38625])).
% 9.54/7.01 tff(38627,plain,
% 9.54/7.01 (~always3(s253)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5092, 38626])).
% 9.54/7.01 tff(38628,plain,
% 9.54/7.01 (~always3(s252)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5878, 38627])).
% 9.54/7.01 tff(38629,plain,
% 9.54/7.01 (~always3(s251)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5890, 38628])).
% 9.54/7.01 tff(38630,plain,
% 9.54/7.01 (~always3(s250)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5902, 38629])).
% 9.54/7.01 tff(38631,plain,
% 9.54/7.01 (~always3(s249)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5914, 38630])).
% 9.54/7.01 tff(38632,plain,
% 9.54/7.01 (~always3(s248)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5926, 38631])).
% 9.54/7.01 tff(38633,plain,
% 9.54/7.01 (~always3(s247)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5938, 38632])).
% 9.54/7.01 tff(38634,plain,
% 9.54/7.01 (~always3(s246)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5950, 38633])).
% 9.54/7.01 tff(38635,plain,
% 9.54/7.01 (~always3(s245)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5962, 38634])).
% 9.54/7.01 tff(38636,plain,
% 9.54/7.01 (~always3(s244)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5974, 38635])).
% 9.54/7.01 tff(38637,plain,
% 9.54/7.01 (~always3(s243)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5986, 38636])).
% 9.54/7.01 tff(38638,plain,
% 9.54/7.01 (~always3(s242)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[5998, 38637])).
% 9.54/7.01 tff(38639,plain,
% 9.54/7.01 (~always3(s241)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6010, 38638])).
% 9.54/7.01 tff(38640,plain,
% 9.54/7.01 (~always3(s240)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6022, 38639])).
% 9.54/7.01 tff(38641,plain,
% 9.54/7.01 (~always3(s239)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6034, 38640])).
% 9.54/7.01 tff(38642,plain,
% 9.54/7.01 (~always3(s238)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6046, 38641])).
% 9.54/7.01 tff(38643,plain,
% 9.54/7.01 (~always3(s237)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6058, 38642])).
% 9.54/7.01 tff(38644,plain,
% 9.54/7.01 (~always3(s236)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6070, 38643])).
% 9.54/7.01 tff(38645,plain,
% 9.54/7.01 (~always3(s235)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6082, 38644])).
% 9.54/7.01 tff(38646,plain,
% 9.54/7.01 (~always3(s234)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6094, 38645])).
% 9.54/7.01 tff(38647,plain,
% 9.54/7.01 (~always3(s233)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6106, 38646])).
% 9.54/7.01 tff(38648,plain,
% 9.54/7.01 (~always3(s232)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6118, 38647])).
% 9.54/7.01 tff(38649,plain,
% 9.54/7.01 (~always3(s231)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6130, 38648])).
% 9.54/7.01 tff(38650,plain,
% 9.54/7.01 (~always3(s230)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6142, 38649])).
% 9.54/7.01 tff(38651,plain,
% 9.54/7.01 (~always3(s229)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6154, 38650])).
% 9.54/7.01 tff(38652,plain,
% 9.54/7.01 (~always3(s228)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6166, 38651])).
% 9.54/7.01 tff(38653,plain,
% 9.54/7.01 (~always3(s227)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6178, 38652])).
% 9.54/7.01 tff(38654,plain,
% 9.54/7.01 (~always3(s226)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6190, 38653])).
% 9.54/7.01 tff(38655,plain,
% 9.54/7.01 (~always3(s225)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6202, 38654])).
% 9.54/7.01 tff(38656,plain,
% 9.54/7.01 (~always3(s224)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6214, 38655])).
% 9.54/7.01 tff(38657,plain,
% 9.54/7.01 (~always3(s223)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6226, 38656])).
% 9.54/7.01 tff(38658,plain,
% 9.54/7.01 (~always3(s222)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6238, 38657])).
% 9.54/7.01 tff(38659,plain,
% 9.54/7.01 (~always3(s221)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6250, 38658])).
% 9.54/7.01 tff(38660,plain,
% 9.54/7.01 (~always3(s220)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6262, 38659])).
% 9.54/7.01 tff(38661,plain,
% 9.54/7.01 (~always3(s219)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6274, 38660])).
% 9.54/7.01 tff(38662,plain,
% 9.54/7.01 (~always3(s218)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6286, 38661])).
% 9.54/7.01 tff(38663,plain,
% 9.54/7.01 (~always3(s217)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6298, 38662])).
% 9.54/7.01 tff(38664,plain,
% 9.54/7.01 (~node4(s217)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6302, 22, 38663])).
% 9.54/7.01 tff(38665,plain,
% 9.54/7.01 (~always3(s216)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6314, 38663])).
% 9.54/7.01 tff(38666,plain,
% 9.54/7.01 (~node4(s216)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6318, 22, 38665])).
% 9.54/7.01 tff(38667,plain,
% 9.54/7.01 (~always3(s215)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[6331, 38665])).
% 9.54/7.01 tff(38668,plain,
% 9.54/7.01 (xuntil6(s215)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[10898, 38667, 6320])).
% 9.54/7.01 tff(38669,plain,
% 9.54/7.01 (until5(s216)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[10903, 38668])).
% 9.54/7.01 tff(38670,plain,
% 9.54/7.01 (xuntil6(s216) | node4(s216)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[10910, 36, 38669])).
% 9.54/7.01 tff(38671,plain,
% 9.54/7.01 (xuntil6(s216)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[38670, 38666])).
% 9.54/7.01 tff(38672,plain,
% 9.54/7.01 (until5(s217)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[10916, 38671])).
% 9.54/7.01 tff(38673,plain,
% 9.54/7.01 (xuntil6(s217)),
% 9.54/7.01 inference(unit_resolution,[status(thm)],[10923, 36, 38672, 38664])).
% 9.54/7.01 tff(38674,plain,
% 9.54/7.01 (until5(s218)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10928, 38673])).
% 9.54/7.02 tff(38675,plain,
% 9.54/7.02 (~node4(s218)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10932, 22, 38662])).
% 9.54/7.02 tff(38676,plain,
% 9.54/7.02 (xuntil6(s218) | (~until5(s218))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10939, 36, 38675])).
% 9.54/7.02 tff(38677,plain,
% 9.54/7.02 (xuntil6(s218)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38676, 38674])).
% 9.54/7.02 tff(38678,plain,
% 9.54/7.02 (until5(s219)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10945, 38677])).
% 9.54/7.02 tff(38679,plain,
% 9.54/7.02 (~node4(s219)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10949, 22, 38661])).
% 9.54/7.02 tff(38680,plain,
% 9.54/7.02 (xuntil6(s219) | (~until5(s219))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10956, 36, 38679])).
% 9.54/7.02 tff(38681,plain,
% 9.54/7.02 (xuntil6(s219)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38680, 38678])).
% 9.54/7.02 tff(38682,plain,
% 9.54/7.02 (until5(s220)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10962, 38681])).
% 9.54/7.02 tff(38683,plain,
% 9.54/7.02 (~node4(s220)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10966, 22, 38660])).
% 9.54/7.02 tff(38684,plain,
% 9.54/7.02 (xuntil6(s220) | (~until5(s220))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10973, 36, 38683])).
% 9.54/7.02 tff(38685,plain,
% 9.54/7.02 (xuntil6(s220)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38684, 38682])).
% 9.54/7.02 tff(38686,plain,
% 9.54/7.02 (until5(s221)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10979, 38685])).
% 9.54/7.02 tff(38687,plain,
% 9.54/7.02 (~node4(s221)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10983, 22, 38659])).
% 9.54/7.02 tff(38688,plain,
% 9.54/7.02 (xuntil6(s221) | (~until5(s221))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10990, 36, 38687])).
% 9.54/7.02 tff(38689,plain,
% 9.54/7.02 (xuntil6(s221)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38688, 38686])).
% 9.54/7.02 tff(38690,plain,
% 9.54/7.02 (until5(s222)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10996, 38689])).
% 9.54/7.02 tff(38691,plain,
% 9.54/7.02 (~node4(s222)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11000, 22, 38658])).
% 9.54/7.02 tff(38692,plain,
% 9.54/7.02 (xuntil6(s222) | (~until5(s222))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11007, 36, 38691])).
% 9.54/7.02 tff(38693,plain,
% 9.54/7.02 (xuntil6(s222)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38692, 38690])).
% 9.54/7.02 tff(38694,plain,
% 9.54/7.02 (until5(s223)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11013, 38693])).
% 9.54/7.02 tff(38695,plain,
% 9.54/7.02 (~node4(s223)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11017, 22, 38657])).
% 9.54/7.02 tff(38696,plain,
% 9.54/7.02 (xuntil6(s223) | (~until5(s223))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11024, 36, 38695])).
% 9.54/7.02 tff(38697,plain,
% 9.54/7.02 (xuntil6(s223)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38696, 38694])).
% 9.54/7.02 tff(38698,plain,
% 9.54/7.02 (until5(s224)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11030, 38697])).
% 9.54/7.02 tff(38699,plain,
% 9.54/7.02 (~node4(s224)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11034, 22, 38656])).
% 9.54/7.02 tff(38700,plain,
% 9.54/7.02 (xuntil6(s224) | (~until5(s224))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11041, 36, 38699])).
% 9.54/7.02 tff(38701,plain,
% 9.54/7.02 (xuntil6(s224)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38700, 38698])).
% 9.54/7.02 tff(38702,plain,
% 9.54/7.02 (until5(s225)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11047, 38701])).
% 9.54/7.02 tff(38703,plain,
% 9.54/7.02 (~node4(s225)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11051, 22, 38655])).
% 9.54/7.02 tff(38704,plain,
% 9.54/7.02 (xuntil6(s225) | (~until5(s225))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11058, 36, 38703])).
% 9.54/7.02 tff(38705,plain,
% 9.54/7.02 (xuntil6(s225)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38704, 38702])).
% 9.54/7.02 tff(38706,plain,
% 9.54/7.02 (until5(s226)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11064, 38705])).
% 9.54/7.02 tff(38707,plain,
% 9.54/7.02 (~node4(s226)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11068, 22, 38654])).
% 9.54/7.02 tff(38708,plain,
% 9.54/7.02 (xuntil6(s226) | (~until5(s226))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11075, 36, 38707])).
% 9.54/7.02 tff(38709,plain,
% 9.54/7.02 (xuntil6(s226)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38708, 38706])).
% 9.54/7.02 tff(38710,plain,
% 9.54/7.02 (until5(s227)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11081, 38709])).
% 9.54/7.02 tff(38711,plain,
% 9.54/7.02 (~node4(s227)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11085, 22, 38653])).
% 9.54/7.02 tff(38712,plain,
% 9.54/7.02 (xuntil6(s227) | (~until5(s227))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11092, 36, 38711])).
% 9.54/7.02 tff(38713,plain,
% 9.54/7.02 (xuntil6(s227)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38712, 38710])).
% 9.54/7.02 tff(38714,plain,
% 9.54/7.02 (until5(s228)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11098, 38713])).
% 9.54/7.02 tff(38715,plain,
% 9.54/7.02 (~node4(s228)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11102, 22, 38652])).
% 9.54/7.02 tff(38716,plain,
% 9.54/7.02 (xuntil6(s228) | (~until5(s228))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11109, 36, 38715])).
% 9.54/7.02 tff(38717,plain,
% 9.54/7.02 (xuntil6(s228)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38716, 38714])).
% 9.54/7.02 tff(38718,plain,
% 9.54/7.02 (until5(s229)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11115, 38717])).
% 9.54/7.02 tff(38719,plain,
% 9.54/7.02 (~node4(s229)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11119, 22, 38651])).
% 9.54/7.02 tff(38720,plain,
% 9.54/7.02 (xuntil6(s229) | (~until5(s229))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11126, 36, 38719])).
% 9.54/7.02 tff(38721,plain,
% 9.54/7.02 (xuntil6(s229)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38720, 38718])).
% 9.54/7.02 tff(38722,plain,
% 9.54/7.02 (until5(s230)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11132, 38721])).
% 9.54/7.02 tff(38723,plain,
% 9.54/7.02 (~node4(s230)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11136, 22, 38650])).
% 9.54/7.02 tff(38724,plain,
% 9.54/7.02 (xuntil6(s230) | (~until5(s230))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11143, 36, 38723])).
% 9.54/7.02 tff(38725,plain,
% 9.54/7.02 (xuntil6(s230)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38724, 38722])).
% 9.54/7.02 tff(38726,plain,
% 9.54/7.02 (until5(s231)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11149, 38725])).
% 9.54/7.02 tff(38727,plain,
% 9.54/7.02 (~node4(s231)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11153, 22, 38649])).
% 9.54/7.02 tff(38728,plain,
% 9.54/7.02 (xuntil6(s231) | (~until5(s231))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11160, 36, 38727])).
% 9.54/7.02 tff(38729,plain,
% 9.54/7.02 (xuntil6(s231)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38728, 38726])).
% 9.54/7.02 tff(38730,plain,
% 9.54/7.02 (until5(s232)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11166, 38729])).
% 9.54/7.02 tff(38731,plain,
% 9.54/7.02 (~node4(s232)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11170, 22, 38648])).
% 9.54/7.02 tff(38732,plain,
% 9.54/7.02 (xuntil6(s232) | (~until5(s232))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11177, 36, 38731])).
% 9.54/7.02 tff(38733,plain,
% 9.54/7.02 (xuntil6(s232)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38732, 38730])).
% 9.54/7.02 tff(38734,plain,
% 9.54/7.02 (until5(s233)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11183, 38733])).
% 9.54/7.02 tff(38735,plain,
% 9.54/7.02 (~node4(s233)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11187, 22, 38647])).
% 9.54/7.02 tff(38736,plain,
% 9.54/7.02 (xuntil6(s233) | (~until5(s233))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11194, 36, 38735])).
% 9.54/7.02 tff(38737,plain,
% 9.54/7.02 (xuntil6(s233)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38736, 38734])).
% 9.54/7.02 tff(38738,plain,
% 9.54/7.02 (until5(s234)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11200, 38737])).
% 9.54/7.02 tff(38739,plain,
% 9.54/7.02 (~node4(s234)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11204, 22, 38646])).
% 9.54/7.02 tff(38740,plain,
% 9.54/7.02 (xuntil6(s234) | (~until5(s234))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11211, 36, 38739])).
% 9.54/7.02 tff(38741,plain,
% 9.54/7.02 (xuntil6(s234)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38740, 38738])).
% 9.54/7.02 tff(38742,plain,
% 9.54/7.02 (until5(s235)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11217, 38741])).
% 9.54/7.02 tff(38743,plain,
% 9.54/7.02 (~node4(s235)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11221, 22, 38645])).
% 9.54/7.02 tff(38744,plain,
% 9.54/7.02 (xuntil6(s235) | (~until5(s235))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11228, 36, 38743])).
% 9.54/7.02 tff(38745,plain,
% 9.54/7.02 (xuntil6(s235)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38744, 38742])).
% 9.54/7.02 tff(38746,plain,
% 9.54/7.02 (until5(s236)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11234, 38745])).
% 9.54/7.02 tff(38747,plain,
% 9.54/7.02 (~node4(s236)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11238, 22, 38644])).
% 9.54/7.02 tff(38748,plain,
% 9.54/7.02 (xuntil6(s236) | (~until5(s236))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11245, 36, 38747])).
% 9.54/7.02 tff(38749,plain,
% 9.54/7.02 (xuntil6(s236)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38748, 38746])).
% 9.54/7.02 tff(38750,plain,
% 9.54/7.02 (until5(s237)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11251, 38749])).
% 9.54/7.02 tff(38751,plain,
% 9.54/7.02 (~node4(s237)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11255, 22, 38643])).
% 9.54/7.02 tff(38752,plain,
% 9.54/7.02 (xuntil6(s237) | (~until5(s237))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11262, 36, 38751])).
% 9.54/7.02 tff(38753,plain,
% 9.54/7.02 (xuntil6(s237)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38752, 38750])).
% 9.54/7.02 tff(38754,plain,
% 9.54/7.02 (until5(s238)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11268, 38753])).
% 9.54/7.02 tff(38755,plain,
% 9.54/7.02 (~node4(s238)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11272, 22, 38642])).
% 9.54/7.02 tff(38756,plain,
% 9.54/7.02 (xuntil6(s238) | (~until5(s238))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11279, 36, 38755])).
% 9.54/7.02 tff(38757,plain,
% 9.54/7.02 (xuntil6(s238)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38756, 38754])).
% 9.54/7.02 tff(38758,plain,
% 9.54/7.02 (until5(s239)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11285, 38757])).
% 9.54/7.02 tff(38759,plain,
% 9.54/7.02 (~node4(s239)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11289, 22, 38641])).
% 9.54/7.02 tff(38760,plain,
% 9.54/7.02 (xuntil6(s239) | (~until5(s239))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11296, 36, 38759])).
% 9.54/7.02 tff(38761,plain,
% 9.54/7.02 (xuntil6(s239)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38760, 38758])).
% 9.54/7.02 tff(38762,plain,
% 9.54/7.02 (until5(s240)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11302, 38761])).
% 9.54/7.02 tff(38763,plain,
% 9.54/7.02 (~node4(s240)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11306, 22, 38640])).
% 9.54/7.02 tff(38764,plain,
% 9.54/7.02 (xuntil6(s240) | (~until5(s240))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11313, 36, 38763])).
% 9.54/7.02 tff(38765,plain,
% 9.54/7.02 (xuntil6(s240)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38764, 38762])).
% 9.54/7.02 tff(38766,plain,
% 9.54/7.02 (until5(s241)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11319, 38765])).
% 9.54/7.02 tff(38767,plain,
% 9.54/7.02 (~node4(s241)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11323, 22, 38639])).
% 9.54/7.02 tff(38768,plain,
% 9.54/7.02 (xuntil6(s241) | (~until5(s241))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11330, 36, 38767])).
% 9.54/7.02 tff(38769,plain,
% 9.54/7.02 (xuntil6(s241)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38768, 38766])).
% 9.54/7.02 tff(38770,plain,
% 9.54/7.02 (until5(s242)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11336, 38769])).
% 9.54/7.02 tff(38771,plain,
% 9.54/7.02 (~node4(s242)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11340, 22, 38638])).
% 9.54/7.02 tff(38772,plain,
% 9.54/7.02 (xuntil6(s242) | (~until5(s242))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11347, 36, 38771])).
% 9.54/7.02 tff(38773,plain,
% 9.54/7.02 (xuntil6(s242)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38772, 38770])).
% 9.54/7.02 tff(38774,plain,
% 9.54/7.02 (until5(s243)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11353, 38773])).
% 9.54/7.02 tff(38775,plain,
% 9.54/7.02 (~node4(s243)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11357, 22, 38637])).
% 9.54/7.02 tff(38776,plain,
% 9.54/7.02 (xuntil6(s243) | (~until5(s243))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11364, 36, 38775])).
% 9.54/7.02 tff(38777,plain,
% 9.54/7.02 (xuntil6(s243)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38776, 38774])).
% 9.54/7.02 tff(38778,plain,
% 9.54/7.02 (until5(s244)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11370, 38777])).
% 9.54/7.02 tff(38779,plain,
% 9.54/7.02 (~node4(s244)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11374, 22, 38636])).
% 9.54/7.02 tff(38780,plain,
% 9.54/7.02 (xuntil6(s244) | (~until5(s244))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11381, 36, 38779])).
% 9.54/7.02 tff(38781,plain,
% 9.54/7.02 (xuntil6(s244)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38780, 38778])).
% 9.54/7.02 tff(38782,plain,
% 9.54/7.02 (until5(s245)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11387, 38781])).
% 9.54/7.02 tff(38783,plain,
% 9.54/7.02 (~node4(s245)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11391, 22, 38635])).
% 9.54/7.02 tff(38784,plain,
% 9.54/7.02 (xuntil6(s245) | (~until5(s245))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11398, 36, 38783])).
% 9.54/7.02 tff(38785,plain,
% 9.54/7.02 (xuntil6(s245)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38784, 38782])).
% 9.54/7.02 tff(38786,plain,
% 9.54/7.02 (until5(s246)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11404, 38785])).
% 9.54/7.02 tff(38787,plain,
% 9.54/7.02 (~node4(s246)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11408, 22, 38634])).
% 9.54/7.02 tff(38788,plain,
% 9.54/7.02 (xuntil6(s246) | (~until5(s246))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11415, 36, 38787])).
% 9.54/7.02 tff(38789,plain,
% 9.54/7.02 (xuntil6(s246)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38788, 38786])).
% 9.54/7.02 tff(38790,plain,
% 9.54/7.02 (until5(s247)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11421, 38789])).
% 9.54/7.02 tff(38791,plain,
% 9.54/7.02 (~node4(s247)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11425, 22, 38633])).
% 9.54/7.02 tff(38792,plain,
% 9.54/7.02 (xuntil6(s247) | (~until5(s247))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11432, 36, 38791])).
% 9.54/7.02 tff(38793,plain,
% 9.54/7.02 (xuntil6(s247)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38792, 38790])).
% 9.54/7.02 tff(38794,plain,
% 9.54/7.02 (until5(s248)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11438, 38793])).
% 9.54/7.02 tff(38795,plain,
% 9.54/7.02 (~node4(s248)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11442, 22, 38632])).
% 9.54/7.02 tff(38796,plain,
% 9.54/7.02 (xuntil6(s248) | (~until5(s248))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11449, 36, 38795])).
% 9.54/7.02 tff(38797,plain,
% 9.54/7.02 (xuntil6(s248)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38796, 38794])).
% 9.54/7.02 tff(38798,plain,
% 9.54/7.02 (until5(s249)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11455, 38797])).
% 9.54/7.02 tff(38799,plain,
% 9.54/7.02 (~node4(s249)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11459, 22, 38631])).
% 9.54/7.02 tff(38800,plain,
% 9.54/7.02 (xuntil6(s249) | (~until5(s249))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11466, 36, 38799])).
% 9.54/7.02 tff(38801,plain,
% 9.54/7.02 (xuntil6(s249)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38800, 38798])).
% 9.54/7.02 tff(38802,plain,
% 9.54/7.02 (until5(s250)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11472, 38801])).
% 9.54/7.02 tff(38803,plain,
% 9.54/7.02 (~node4(s250)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11476, 22, 38630])).
% 9.54/7.02 tff(38804,plain,
% 9.54/7.02 (xuntil6(s250) | (~until5(s250))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11483, 36, 38803])).
% 9.54/7.02 tff(38805,plain,
% 9.54/7.02 (xuntil6(s250)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38804, 38802])).
% 9.54/7.02 tff(38806,plain,
% 9.54/7.02 (until5(s251)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11489, 38805])).
% 9.54/7.02 tff(38807,plain,
% 9.54/7.02 (~node4(s251)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11493, 22, 38629])).
% 9.54/7.02 tff(38808,plain,
% 9.54/7.02 (xuntil6(s251) | (~until5(s251))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11500, 36, 38807])).
% 9.54/7.02 tff(38809,plain,
% 9.54/7.02 (xuntil6(s251)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38808, 38806])).
% 9.54/7.02 tff(38810,plain,
% 9.54/7.02 (until5(s252)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11506, 38809])).
% 9.54/7.02 tff(38811,plain,
% 9.54/7.02 (~node4(s252)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11510, 22, 38628])).
% 9.54/7.02 tff(38812,plain,
% 9.54/7.02 (xuntil6(s252) | (~until5(s252))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11517, 36, 38811])).
% 9.54/7.02 tff(38813,plain,
% 9.54/7.02 (xuntil6(s252)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38812, 38810])).
% 9.54/7.02 tff(38814,plain,
% 9.54/7.02 (until5(s253)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11523, 38813])).
% 9.54/7.02 tff(38815,plain,
% 9.54/7.02 (xuntil6(s253)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11532, 38814])).
% 9.54/7.02 tff(38816,plain,
% 9.54/7.02 (until5(s254)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11537, 38815])).
% 9.54/7.02 tff(38817,plain,
% 9.54/7.02 (~node4(s254)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11541, 22, 38626])).
% 9.54/7.02 tff(38818,plain,
% 9.54/7.02 (xuntil6(s254) | (~until5(s254))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11548, 36, 38817])).
% 9.54/7.02 tff(38819,plain,
% 9.54/7.02 (xuntil6(s254)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38818, 38816])).
% 9.54/7.02 tff(38820,plain,
% 9.54/7.02 (until5(s255)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11554, 38819])).
% 9.54/7.02 tff(38821,plain,
% 9.54/7.02 (~node4(s255)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11558, 22, 38625])).
% 9.54/7.02 tff(38822,plain,
% 9.54/7.02 (xuntil6(s255) | (~until5(s255))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11565, 36, 38821])).
% 9.54/7.02 tff(38823,plain,
% 9.54/7.02 (xuntil6(s255)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38822, 38820])).
% 9.54/7.02 tff(38824,plain,
% 9.54/7.02 (until5(s256)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11571, 38823])).
% 9.54/7.02 tff(38825,plain,
% 9.54/7.02 (~node4(s256)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11575, 22, 38624])).
% 9.54/7.02 tff(38826,plain,
% 9.54/7.02 (xuntil6(s256) | (~until5(s256))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11582, 36, 38825])).
% 9.54/7.02 tff(38827,plain,
% 9.54/7.02 (xuntil6(s256)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38826, 38824])).
% 9.54/7.02 tff(38828,plain,
% 9.54/7.02 (until5(s257)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11588, 38827])).
% 9.54/7.02 tff(38829,plain,
% 9.54/7.02 (~node4(s257)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11592, 22, 38623])).
% 9.54/7.02 tff(38830,plain,
% 9.54/7.02 (xuntil6(s257) | (~until5(s257))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11599, 36, 38829])).
% 9.54/7.02 tff(38831,plain,
% 9.54/7.02 (xuntil6(s257)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38830, 38828])).
% 9.54/7.02 tff(38832,plain,
% 9.54/7.02 (until5(s258)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11605, 38831])).
% 9.54/7.02 tff(38833,plain,
% 9.54/7.02 (~node4(s258)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11609, 22, 38622])).
% 9.54/7.02 tff(38834,plain,
% 9.54/7.02 (xuntil6(s258) | (~until5(s258))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11616, 36, 38833])).
% 9.54/7.02 tff(38835,plain,
% 9.54/7.02 (xuntil6(s258)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38834, 38832])).
% 9.54/7.02 tff(38836,plain,
% 9.54/7.02 (until5(s259)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11622, 38835])).
% 9.54/7.02 tff(38837,plain,
% 9.54/7.02 (~node4(s259)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11626, 22, 38621])).
% 9.54/7.02 tff(38838,plain,
% 9.54/7.02 (xuntil6(s259) | (~until5(s259))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11633, 36, 38837])).
% 9.54/7.02 tff(38839,plain,
% 9.54/7.02 (xuntil6(s259)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38838, 38836])).
% 9.54/7.02 tff(38840,plain,
% 9.54/7.02 (until5(s260)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11639, 38839])).
% 9.54/7.02 tff(38841,plain,
% 9.54/7.02 (~node4(s260)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11643, 22, 38620])).
% 9.54/7.02 tff(38842,plain,
% 9.54/7.02 (xuntil6(s260) | (~until5(s260))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11650, 36, 38841])).
% 9.54/7.02 tff(38843,plain,
% 9.54/7.02 (xuntil6(s260)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38842, 38840])).
% 9.54/7.02 tff(38844,plain,
% 9.54/7.02 (until5(s261)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11656, 38843])).
% 9.54/7.02 tff(38845,plain,
% 9.54/7.02 (~node4(s261)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11660, 22, 38619])).
% 9.54/7.02 tff(38846,plain,
% 9.54/7.02 (xuntil6(s261) | (~until5(s261))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11667, 36, 38845])).
% 9.54/7.02 tff(38847,plain,
% 9.54/7.02 (xuntil6(s261)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38846, 38844])).
% 9.54/7.02 tff(38848,plain,
% 9.54/7.02 (until5(s262)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11673, 38847])).
% 9.54/7.02 tff(38849,plain,
% 9.54/7.02 (~node4(s262)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11677, 22, 38618])).
% 9.54/7.02 tff(38850,plain,
% 9.54/7.02 (xuntil6(s262) | (~until5(s262))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11684, 36, 38849])).
% 9.54/7.02 tff(38851,plain,
% 9.54/7.02 (xuntil6(s262)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38850, 38848])).
% 9.54/7.02 tff(38852,plain,
% 9.54/7.02 (until5(s263)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11690, 38851])).
% 9.54/7.02 tff(38853,plain,
% 9.54/7.02 (~node4(s263)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11694, 22, 38617])).
% 9.54/7.02 tff(38854,plain,
% 9.54/7.02 (xuntil6(s263) | (~until5(s263))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11701, 36, 38853])).
% 9.54/7.02 tff(38855,plain,
% 9.54/7.02 (xuntil6(s263)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38854, 38852])).
% 9.54/7.02 tff(38856,plain,
% 9.54/7.02 (until5(s264)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11707, 38855])).
% 9.54/7.02 tff(38857,plain,
% 9.54/7.02 (~node4(s264)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11711, 22, 38616])).
% 9.54/7.02 tff(38858,plain,
% 9.54/7.02 (xuntil6(s264) | (~until5(s264))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11718, 36, 38857])).
% 9.54/7.02 tff(38859,plain,
% 9.54/7.02 (xuntil6(s264)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38858, 38856])).
% 9.54/7.02 tff(38860,plain,
% 9.54/7.02 (until5(s265)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11724, 38859])).
% 9.54/7.02 tff(38861,plain,
% 9.54/7.02 (~node4(s265)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11728, 22, 38615])).
% 9.54/7.02 tff(38862,plain,
% 9.54/7.02 (xuntil6(s265) | (~until5(s265))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11735, 36, 38861])).
% 9.54/7.02 tff(38863,plain,
% 9.54/7.02 ($false),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38862, 38860, 38614])).
% 9.54/7.02 tff(38864,plain,(always3(s314) | node4(s253) | xuntil6(s314) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.54/7.02 tff(38865,plain,
% 9.54/7.02 (always3(s314) | xuntil6(s314) | (~until5(s58))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38864, 5121])).
% 9.54/7.02 tff(38866,plain,
% 9.54/7.02 (always3(s314)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38865, 38370, 6320])).
% 9.54/7.02 tff(38867,plain,
% 9.54/7.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s314)) | (~m_main_v_state(s314, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s314)) | (~m_main_v_state(s314, c_busy)))),
% 9.54/7.02 inference(rewrite,[status(thm)],[])).
% 9.54/7.02 tff(38868,plain,
% 9.54/7.02 (((~m_main_v_state(s314, c_busy)) | (~always3(s314))) <=> ((~always3(s314)) | (~m_main_v_state(s314, c_busy)))),
% 9.54/7.02 inference(rewrite,[status(thm)],[])).
% 9.54/7.02 tff(38869,plain,
% 9.54/7.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s314, c_busy)) | (~always3(s314)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s314)) | (~m_main_v_state(s314, c_busy))))),
% 9.54/7.02 inference(monotonicity,[status(thm)],[38868])).
% 9.54/7.02 tff(38870,plain,
% 9.54/7.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s314, c_busy)) | (~always3(s314)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s314)) | (~m_main_v_state(s314, c_busy)))),
% 9.54/7.02 inference(transitivity,[status(thm)],[38869, 38867])).
% 9.54/7.02 tff(38871,plain,
% 9.54/7.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s314, c_busy)) | (~always3(s314)))),
% 9.54/7.02 inference(quant_inst,[status(thm)],[])).
% 9.54/7.02 tff(38872,plain,
% 9.54/7.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s314)) | (~m_main_v_state(s314, c_busy))),
% 9.54/7.02 inference(modus_ponens,[status(thm)],[38871, 38870])).
% 9.54/7.02 tff(38873,plain,
% 9.54/7.02 (~m_main_v_state(s314, c_busy)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38872, 170, 38866])).
% 9.54/7.02 tff(38874,assumption,(~always3(s289)), introduced(assumption)).
% 9.54/7.02 tff(38875,plain,
% 9.54/7.02 (~always3(s288)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5457, 38874])).
% 9.54/7.02 tff(38876,plain,
% 9.54/7.02 (~always3(s287)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5469, 38875])).
% 9.54/7.02 tff(38877,plain,
% 9.54/7.02 (~always3(s286)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5481, 38876])).
% 9.54/7.02 tff(38878,plain,
% 9.54/7.02 (~always3(s285)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5493, 38877])).
% 9.54/7.02 tff(38879,plain,
% 9.54/7.02 (~always3(s284)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5505, 38878])).
% 9.54/7.02 tff(38880,plain,
% 9.54/7.02 (~always3(s283)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5517, 38879])).
% 9.54/7.02 tff(38881,plain,
% 9.54/7.02 (~always3(s282)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5529, 38880])).
% 9.54/7.02 tff(38882,plain,
% 9.54/7.02 (~always3(s281)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5541, 38881])).
% 9.54/7.02 tff(38883,plain,
% 9.54/7.02 (~always3(s280)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5553, 38882])).
% 9.54/7.02 tff(38884,plain,
% 9.54/7.02 (~always3(s279)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5565, 38883])).
% 9.54/7.02 tff(38885,plain,
% 9.54/7.02 (~always3(s278)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5577, 38884])).
% 9.54/7.02 tff(38886,plain,
% 9.54/7.02 (~always3(s277)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5589, 38885])).
% 9.54/7.02 tff(38887,plain,
% 9.54/7.02 (~always3(s276)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5601, 38886])).
% 9.54/7.02 tff(38888,plain,
% 9.54/7.02 (~always3(s275)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5613, 38887])).
% 9.54/7.02 tff(38889,plain,
% 9.54/7.02 (~always3(s274)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5625, 38888])).
% 9.54/7.02 tff(38890,plain,
% 9.54/7.02 (~always3(s273)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5637, 38889])).
% 9.54/7.02 tff(38891,plain,
% 9.54/7.02 (~always3(s272)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5649, 38890])).
% 9.54/7.02 tff(38892,plain,
% 9.54/7.02 (~always3(s271)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5661, 38891])).
% 9.54/7.02 tff(38893,plain,
% 9.54/7.02 (~always3(s270)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5673, 38892])).
% 9.54/7.02 tff(38894,plain,
% 9.54/7.02 (~always3(s269)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5685, 38893])).
% 9.54/7.02 tff(38895,plain,
% 9.54/7.02 (~always3(s268)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5697, 38894])).
% 9.54/7.02 tff(38896,plain,
% 9.54/7.02 (~always3(s267)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5709, 38895])).
% 9.54/7.02 tff(38897,plain,
% 9.54/7.02 (~always3(s266)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5721, 38896])).
% 9.54/7.02 tff(38898,plain,
% 9.54/7.02 (~always3(s265)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5733, 38897])).
% 9.54/7.02 tff(38899,plain,
% 9.54/7.02 (~always3(s264)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5745, 38898])).
% 9.54/7.02 tff(38900,plain,
% 9.54/7.02 (~always3(s263)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5757, 38899])).
% 9.54/7.02 tff(38901,plain,
% 9.54/7.02 (~always3(s262)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5769, 38900])).
% 9.54/7.02 tff(38902,plain,
% 9.54/7.02 (~always3(s261)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5781, 38901])).
% 9.54/7.02 tff(38903,plain,
% 9.54/7.02 (~always3(s260)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5793, 38902])).
% 9.54/7.02 tff(38904,plain,
% 9.54/7.02 (~always3(s259)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5805, 38903])).
% 9.54/7.02 tff(38905,plain,
% 9.54/7.02 (~always3(s258)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5817, 38904])).
% 9.54/7.02 tff(38906,plain,
% 9.54/7.02 (~always3(s257)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5829, 38905])).
% 9.54/7.02 tff(38907,plain,
% 9.54/7.02 (~always3(s256)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5841, 38906])).
% 9.54/7.02 tff(38908,plain,
% 9.54/7.02 (~always3(s255)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5853, 38907])).
% 9.54/7.02 tff(38909,plain,
% 9.54/7.02 (~always3(s254)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5865, 38908])).
% 9.54/7.02 tff(38910,plain,
% 9.54/7.02 (~always3(s253)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5092, 38909])).
% 9.54/7.02 tff(38911,plain,
% 9.54/7.02 (~node4(s253)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5080, 22, 38910])).
% 9.54/7.02 tff(38912,plain,
% 9.54/7.02 (always3(s314)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38864, 38911, 6320, 38370])).
% 9.54/7.02 tff(38913,plain,
% 9.54/7.02 (~m_main_v_state(s314, c_busy)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38872, 170, 38912])).
% 9.54/7.02 tff(38914,plain,
% 9.54/7.02 (always3(s315)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5145, 38912])).
% 9.54/7.02 tff(38915,plain,
% 9.54/7.02 (~m_main_v_state(s315, c_busy)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[14299, 170, 38914])).
% 9.54/7.02 tff(38916,plain,
% 9.54/7.02 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s314, c_busy) | m_main_v_state(s314, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s314, c_busy) | m_main_v_state(s314, c_ready))),
% 9.54/7.02 inference(rewrite,[status(thm)],[])).
% 9.54/7.02 tff(38917,plain,
% 9.54/7.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s314, c_busy) | m_main_v_state(s314, c_ready))),
% 9.54/7.02 inference(quant_inst,[status(thm)],[])).
% 9.54/7.02 tff(38918,plain,
% 9.54/7.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s314, c_busy) | m_main_v_state(s314, c_ready)),
% 9.54/7.02 inference(modus_ponens,[status(thm)],[38917, 38916])).
% 9.54/7.02 tff(38919,plain,
% 9.54/7.02 (m_main_v_state(s314, c_ready)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38918, 213, 38913])).
% 9.54/7.02 tff(38920,plain,
% 9.54/7.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s314, s315)) | node2(s314, s315))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s314, s315)) | node2(s314, s315))),
% 9.54/7.02 inference(rewrite,[status(thm)],[])).
% 9.54/7.02 tff(38921,plain,
% 9.54/7.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s314, s315)) | node2(s314, s315))),
% 9.54/7.02 inference(quant_inst,[status(thm)],[])).
% 9.54/7.02 tff(38922,plain,
% 9.54/7.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s314, s315)) | node2(s314, s315)),
% 9.54/7.02 inference(modus_ponens,[status(thm)],[38921, 38920])).
% 9.54/7.02 tff(38923,plain,
% 9.54/7.02 (node2(s314, s315)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38922, 7, 5141])).
% 9.54/7.02 tff(38924,plain,
% 9.54/7.02 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s314, c_ready)) | (~node2(s314, s315)) | m_main_v_state(s315, c_busy) | (~m_main_v_request(s314)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s314, c_ready)) | (~node2(s314, s315)) | m_main_v_state(s315, c_busy) | (~m_main_v_request(s314)))),
% 9.54/7.02 inference(rewrite,[status(thm)],[])).
% 9.54/7.02 tff(38925,plain,
% 9.54/7.02 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s314, c_ready)) | (~node2(s314, s315)) | m_main_v_state(s315, c_busy) | (~m_main_v_request(s314)))),
% 9.54/7.02 inference(quant_inst,[status(thm)],[])).
% 9.54/7.02 tff(38926,plain,
% 9.54/7.02 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s314, c_ready)) | (~node2(s314, s315)) | m_main_v_state(s315, c_busy) | (~m_main_v_request(s314))),
% 9.54/7.02 inference(modus_ponens,[status(thm)],[38925, 38924])).
% 9.54/7.02 tff(38927,plain,
% 9.54/7.02 ((~m_main_v_state(s314, c_ready)) | m_main_v_state(s315, c_busy) | (~m_main_v_request(s314))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38926, 191, 38923])).
% 9.54/7.02 tff(38928,plain,
% 9.54/7.02 (~m_main_v_request(s314)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38927, 38919, 38915])).
% 9.54/7.02 tff(38929,plain,
% 9.54/7.02 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s314) | (~node4(s314)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s314) | (~node4(s314)))),
% 9.54/7.02 inference(rewrite,[status(thm)],[])).
% 9.54/7.02 tff(38930,plain,
% 9.54/7.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s314) | (~node4(s314)))),
% 9.54/7.02 inference(quant_inst,[status(thm)],[])).
% 9.54/7.02 tff(38931,plain,
% 9.54/7.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s314) | (~node4(s314))),
% 9.54/7.02 inference(modus_ponens,[status(thm)],[38930, 38929])).
% 9.54/7.02 tff(38932,plain,
% 9.54/7.02 (~node4(s314)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38931, 154, 38928])).
% 9.54/7.02 tff(38933,plain,
% 9.54/7.02 (~until5(s314)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[38375, 38932])).
% 9.54/7.02 tff(38934,plain,
% 9.54/7.02 (~xuntil6(s313)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[12557, 38933])).
% 9.54/7.02 tff(38935,assumption,(~always3(s313)), introduced(assumption)).
% 9.54/7.02 tff(38936,plain,
% 9.54/7.02 (~always3(s312)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5169, 38935])).
% 9.54/7.02 tff(38937,plain,
% 9.54/7.02 (~always3(s311)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5181, 38936])).
% 9.54/7.02 tff(38938,plain,
% 9.54/7.02 (~always3(s310)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5193, 38937])).
% 9.54/7.02 tff(38939,plain,
% 9.54/7.02 (~always3(s309)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5205, 38938])).
% 9.54/7.02 tff(38940,plain,
% 9.54/7.02 (~always3(s308)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5217, 38939])).
% 9.54/7.02 tff(38941,plain,
% 9.54/7.02 (~always3(s307)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5229, 38940])).
% 9.54/7.02 tff(38942,plain,
% 9.54/7.02 (~always3(s306)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5241, 38941])).
% 9.54/7.02 tff(38943,plain,
% 9.54/7.02 (~always3(s305)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5253, 38942])).
% 9.54/7.02 tff(38944,plain,
% 9.54/7.02 (~always3(s304)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5265, 38943])).
% 9.54/7.02 tff(38945,plain,
% 9.54/7.02 (~always3(s303)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5277, 38944])).
% 9.54/7.02 tff(38946,plain,
% 9.54/7.02 (~always3(s302)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5289, 38945])).
% 9.54/7.02 tff(38947,plain,
% 9.54/7.02 (~always3(s301)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5301, 38946])).
% 9.54/7.02 tff(38948,plain,
% 9.54/7.02 (~always3(s300)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5313, 38947])).
% 9.54/7.02 tff(38949,plain,
% 9.54/7.02 (~always3(s299)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5325, 38948])).
% 9.54/7.02 tff(38950,plain,
% 9.54/7.02 (~always3(s298)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5337, 38949])).
% 9.54/7.02 tff(38951,plain,
% 9.54/7.02 (~always3(s297)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5349, 38950])).
% 9.54/7.02 tff(38952,plain,
% 9.54/7.02 (~always3(s296)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5361, 38951])).
% 9.54/7.02 tff(38953,plain,
% 9.54/7.02 (~always3(s295)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5373, 38952])).
% 9.54/7.02 tff(38954,plain,
% 9.54/7.02 (~always3(s294)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5385, 38953])).
% 9.54/7.02 tff(38955,plain,
% 9.54/7.02 (~always3(s293)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5397, 38954])).
% 9.54/7.02 tff(38956,plain,
% 9.54/7.02 (~always3(s292)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5409, 38955])).
% 9.54/7.02 tff(38957,plain,
% 9.54/7.02 (~always3(s291)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5421, 38956])).
% 9.54/7.02 tff(38958,plain,
% 9.54/7.02 (~always3(s290)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5433, 38957])).
% 9.54/7.02 tff(38959,plain,
% 9.54/7.02 (~always3(s289)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5445, 38958])).
% 9.54/7.02 tff(38960,plain,
% 9.54/7.02 (~always3(s288)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5457, 38959])).
% 9.54/7.02 tff(38961,plain,
% 9.54/7.02 (~always3(s287)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5469, 38960])).
% 9.54/7.02 tff(38962,plain,
% 9.54/7.02 (~always3(s286)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5481, 38961])).
% 9.54/7.02 tff(38963,plain,
% 9.54/7.02 (~always3(s285)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5493, 38962])).
% 9.54/7.02 tff(38964,plain,
% 9.54/7.02 (~always3(s284)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5505, 38963])).
% 9.54/7.02 tff(38965,plain,
% 9.54/7.02 (~always3(s283)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5517, 38964])).
% 9.54/7.02 tff(38966,plain,
% 9.54/7.02 (~always3(s282)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5529, 38965])).
% 9.54/7.02 tff(38967,plain,
% 9.54/7.02 (~always3(s281)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5541, 38966])).
% 9.54/7.02 tff(38968,plain,
% 9.54/7.02 (~always3(s280)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5553, 38967])).
% 9.54/7.02 tff(38969,plain,
% 9.54/7.02 (~always3(s279)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5565, 38968])).
% 9.54/7.02 tff(38970,plain,
% 9.54/7.02 (~always3(s278)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5577, 38969])).
% 9.54/7.02 tff(38971,plain,
% 9.54/7.02 (~always3(s277)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5589, 38970])).
% 9.54/7.02 tff(38972,plain,
% 9.54/7.02 (~always3(s276)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5601, 38971])).
% 9.54/7.02 tff(38973,plain,
% 9.54/7.02 (~always3(s275)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5613, 38972])).
% 9.54/7.02 tff(38974,plain,
% 9.54/7.02 (~always3(s274)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5625, 38973])).
% 9.54/7.02 tff(38975,plain,
% 9.54/7.02 (~always3(s273)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5637, 38974])).
% 9.54/7.02 tff(38976,plain,
% 9.54/7.02 (~always3(s272)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5649, 38975])).
% 9.54/7.02 tff(38977,plain,
% 9.54/7.02 (~always3(s271)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5661, 38976])).
% 9.54/7.02 tff(38978,plain,
% 9.54/7.02 (~always3(s270)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5673, 38977])).
% 9.54/7.02 tff(38979,plain,
% 9.54/7.02 (~always3(s269)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5685, 38978])).
% 9.54/7.02 tff(38980,plain,
% 9.54/7.02 (~always3(s268)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5697, 38979])).
% 9.54/7.02 tff(38981,plain,
% 9.54/7.02 (~always3(s267)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5709, 38980])).
% 9.54/7.02 tff(38982,plain,
% 9.54/7.02 (~always3(s266)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5721, 38981])).
% 9.54/7.02 tff(38983,plain,
% 9.54/7.02 (~always3(s265)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5733, 38982])).
% 9.54/7.02 tff(38984,plain,
% 9.54/7.02 (~always3(s264)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5745, 38983])).
% 9.54/7.02 tff(38985,plain,
% 9.54/7.02 (~always3(s263)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5757, 38984])).
% 9.54/7.02 tff(38986,plain,
% 9.54/7.02 (~always3(s262)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5769, 38985])).
% 9.54/7.02 tff(38987,plain,
% 9.54/7.02 (~always3(s261)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5781, 38986])).
% 9.54/7.02 tff(38988,plain,
% 9.54/7.02 (~always3(s260)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5793, 38987])).
% 9.54/7.02 tff(38989,plain,
% 9.54/7.02 (~always3(s259)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5805, 38988])).
% 9.54/7.02 tff(38990,plain,
% 9.54/7.02 (~always3(s258)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5817, 38989])).
% 9.54/7.02 tff(38991,plain,
% 9.54/7.02 (~always3(s257)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5829, 38990])).
% 9.54/7.02 tff(38992,plain,
% 9.54/7.02 (~always3(s256)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5841, 38991])).
% 9.54/7.02 tff(38993,plain,
% 9.54/7.02 (~always3(s255)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5853, 38992])).
% 9.54/7.02 tff(38994,plain,
% 9.54/7.02 (~always3(s254)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5865, 38993])).
% 9.54/7.02 tff(38995,plain,
% 9.54/7.02 (~always3(s253)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5092, 38994])).
% 9.54/7.02 tff(38996,plain,
% 9.54/7.02 (~always3(s252)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5878, 38995])).
% 9.54/7.02 tff(38997,plain,
% 9.54/7.02 (~always3(s251)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5890, 38996])).
% 9.54/7.02 tff(38998,plain,
% 9.54/7.02 (~always3(s250)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5902, 38997])).
% 9.54/7.02 tff(38999,plain,
% 9.54/7.02 (~always3(s249)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5914, 38998])).
% 9.54/7.02 tff(39000,plain,
% 9.54/7.02 (~always3(s248)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5926, 38999])).
% 9.54/7.02 tff(39001,plain,
% 9.54/7.02 (~always3(s247)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5938, 39000])).
% 9.54/7.02 tff(39002,plain,
% 9.54/7.02 (~always3(s246)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5950, 39001])).
% 9.54/7.02 tff(39003,plain,
% 9.54/7.02 (~always3(s245)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5962, 39002])).
% 9.54/7.02 tff(39004,plain,
% 9.54/7.02 (~always3(s244)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5974, 39003])).
% 9.54/7.02 tff(39005,plain,
% 9.54/7.02 (~always3(s243)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5986, 39004])).
% 9.54/7.02 tff(39006,plain,
% 9.54/7.02 (~always3(s242)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[5998, 39005])).
% 9.54/7.02 tff(39007,plain,
% 9.54/7.02 (~always3(s241)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6010, 39006])).
% 9.54/7.02 tff(39008,plain,
% 9.54/7.02 (~always3(s240)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6022, 39007])).
% 9.54/7.02 tff(39009,plain,
% 9.54/7.02 (~always3(s239)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6034, 39008])).
% 9.54/7.02 tff(39010,plain,
% 9.54/7.02 (~always3(s238)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6046, 39009])).
% 9.54/7.02 tff(39011,plain,
% 9.54/7.02 (~always3(s237)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6058, 39010])).
% 9.54/7.02 tff(39012,plain,
% 9.54/7.02 (~always3(s236)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6070, 39011])).
% 9.54/7.02 tff(39013,plain,
% 9.54/7.02 (~always3(s235)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6082, 39012])).
% 9.54/7.02 tff(39014,plain,
% 9.54/7.02 (~always3(s234)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6094, 39013])).
% 9.54/7.02 tff(39015,plain,
% 9.54/7.02 (~always3(s233)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6106, 39014])).
% 9.54/7.02 tff(39016,plain,
% 9.54/7.02 (~always3(s232)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6118, 39015])).
% 9.54/7.02 tff(39017,plain,
% 9.54/7.02 (~always3(s231)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6130, 39016])).
% 9.54/7.02 tff(39018,plain,
% 9.54/7.02 (~always3(s230)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6142, 39017])).
% 9.54/7.02 tff(39019,plain,
% 9.54/7.02 (~always3(s229)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6154, 39018])).
% 9.54/7.02 tff(39020,plain,
% 9.54/7.02 (~always3(s228)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6166, 39019])).
% 9.54/7.02 tff(39021,plain,
% 9.54/7.02 (~always3(s227)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6178, 39020])).
% 9.54/7.02 tff(39022,plain,
% 9.54/7.02 (~always3(s226)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6190, 39021])).
% 9.54/7.02 tff(39023,plain,
% 9.54/7.02 (~always3(s225)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6202, 39022])).
% 9.54/7.02 tff(39024,plain,
% 9.54/7.02 (~always3(s224)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6214, 39023])).
% 9.54/7.02 tff(39025,plain,
% 9.54/7.02 (~always3(s223)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6226, 39024])).
% 9.54/7.02 tff(39026,plain,
% 9.54/7.02 (~always3(s222)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6238, 39025])).
% 9.54/7.02 tff(39027,plain,
% 9.54/7.02 (~always3(s221)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6250, 39026])).
% 9.54/7.02 tff(39028,plain,
% 9.54/7.02 (~always3(s220)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6262, 39027])).
% 9.54/7.02 tff(39029,plain,
% 9.54/7.02 (~always3(s219)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6274, 39028])).
% 9.54/7.02 tff(39030,plain,
% 9.54/7.02 (~always3(s218)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6286, 39029])).
% 9.54/7.02 tff(39031,plain,
% 9.54/7.02 (~always3(s217)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6298, 39030])).
% 9.54/7.02 tff(39032,plain,
% 9.54/7.02 (~node4(s217)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6302, 22, 39031])).
% 9.54/7.02 tff(39033,plain,
% 9.54/7.02 (~always3(s216)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6314, 39031])).
% 9.54/7.02 tff(39034,plain,
% 9.54/7.02 (~node4(s216)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6318, 22, 39033])).
% 9.54/7.02 tff(39035,plain,
% 9.54/7.02 (~always3(s215)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[6331, 39033])).
% 9.54/7.02 tff(39036,plain,
% 9.54/7.02 (xuntil6(s215)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10898, 39035, 6320])).
% 9.54/7.02 tff(39037,plain,
% 9.54/7.02 (until5(s216)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10903, 39036])).
% 9.54/7.02 tff(39038,plain,
% 9.54/7.02 (xuntil6(s216) | node4(s216)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10910, 36, 39037])).
% 9.54/7.02 tff(39039,plain,
% 9.54/7.02 (xuntil6(s216)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39038, 39034])).
% 9.54/7.02 tff(39040,plain,
% 9.54/7.02 (until5(s217)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10916, 39039])).
% 9.54/7.02 tff(39041,plain,
% 9.54/7.02 (xuntil6(s217)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10923, 36, 39040, 39032])).
% 9.54/7.02 tff(39042,plain,
% 9.54/7.02 (until5(s218)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10928, 39041])).
% 9.54/7.02 tff(39043,plain,
% 9.54/7.02 (~node4(s218)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10932, 22, 39030])).
% 9.54/7.02 tff(39044,plain,
% 9.54/7.02 (xuntil6(s218) | (~until5(s218))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10939, 36, 39043])).
% 9.54/7.02 tff(39045,plain,
% 9.54/7.02 (xuntil6(s218)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39044, 39042])).
% 9.54/7.02 tff(39046,plain,
% 9.54/7.02 (until5(s219)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10945, 39045])).
% 9.54/7.02 tff(39047,plain,
% 9.54/7.02 (~node4(s219)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10949, 22, 39029])).
% 9.54/7.02 tff(39048,plain,
% 9.54/7.02 (xuntil6(s219) | (~until5(s219))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10956, 36, 39047])).
% 9.54/7.02 tff(39049,plain,
% 9.54/7.02 (xuntil6(s219)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39048, 39046])).
% 9.54/7.02 tff(39050,plain,
% 9.54/7.02 (until5(s220)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10962, 39049])).
% 9.54/7.02 tff(39051,plain,
% 9.54/7.02 (~node4(s220)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10966, 22, 39028])).
% 9.54/7.02 tff(39052,plain,
% 9.54/7.02 (xuntil6(s220) | (~until5(s220))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10973, 36, 39051])).
% 9.54/7.02 tff(39053,plain,
% 9.54/7.02 (xuntil6(s220)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39052, 39050])).
% 9.54/7.02 tff(39054,plain,
% 9.54/7.02 (until5(s221)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10979, 39053])).
% 9.54/7.02 tff(39055,plain,
% 9.54/7.02 (~node4(s221)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10983, 22, 39027])).
% 9.54/7.02 tff(39056,plain,
% 9.54/7.02 (xuntil6(s221) | (~until5(s221))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10990, 36, 39055])).
% 9.54/7.02 tff(39057,plain,
% 9.54/7.02 (xuntil6(s221)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39056, 39054])).
% 9.54/7.02 tff(39058,plain,
% 9.54/7.02 (until5(s222)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[10996, 39057])).
% 9.54/7.02 tff(39059,plain,
% 9.54/7.02 (~node4(s222)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11000, 22, 39026])).
% 9.54/7.02 tff(39060,plain,
% 9.54/7.02 (xuntil6(s222) | (~until5(s222))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11007, 36, 39059])).
% 9.54/7.02 tff(39061,plain,
% 9.54/7.02 (xuntil6(s222)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39060, 39058])).
% 9.54/7.02 tff(39062,plain,
% 9.54/7.02 (until5(s223)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11013, 39061])).
% 9.54/7.02 tff(39063,plain,
% 9.54/7.02 (~node4(s223)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11017, 22, 39025])).
% 9.54/7.02 tff(39064,plain,
% 9.54/7.02 (xuntil6(s223) | (~until5(s223))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11024, 36, 39063])).
% 9.54/7.02 tff(39065,plain,
% 9.54/7.02 (xuntil6(s223)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39064, 39062])).
% 9.54/7.02 tff(39066,plain,
% 9.54/7.02 (until5(s224)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11030, 39065])).
% 9.54/7.02 tff(39067,plain,
% 9.54/7.02 (~node4(s224)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11034, 22, 39024])).
% 9.54/7.02 tff(39068,plain,
% 9.54/7.02 (xuntil6(s224) | (~until5(s224))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11041, 36, 39067])).
% 9.54/7.02 tff(39069,plain,
% 9.54/7.02 (xuntil6(s224)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39068, 39066])).
% 9.54/7.02 tff(39070,plain,
% 9.54/7.02 (until5(s225)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11047, 39069])).
% 9.54/7.02 tff(39071,plain,
% 9.54/7.02 (~node4(s225)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11051, 22, 39023])).
% 9.54/7.02 tff(39072,plain,
% 9.54/7.02 (xuntil6(s225) | (~until5(s225))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11058, 36, 39071])).
% 9.54/7.02 tff(39073,plain,
% 9.54/7.02 (xuntil6(s225)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39072, 39070])).
% 9.54/7.02 tff(39074,plain,
% 9.54/7.02 (until5(s226)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11064, 39073])).
% 9.54/7.02 tff(39075,plain,
% 9.54/7.02 (~node4(s226)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11068, 22, 39022])).
% 9.54/7.02 tff(39076,plain,
% 9.54/7.02 (xuntil6(s226) | (~until5(s226))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11075, 36, 39075])).
% 9.54/7.02 tff(39077,plain,
% 9.54/7.02 (xuntil6(s226)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39076, 39074])).
% 9.54/7.02 tff(39078,plain,
% 9.54/7.02 (until5(s227)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11081, 39077])).
% 9.54/7.02 tff(39079,plain,
% 9.54/7.02 (~node4(s227)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11085, 22, 39021])).
% 9.54/7.02 tff(39080,plain,
% 9.54/7.02 (xuntil6(s227) | (~until5(s227))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11092, 36, 39079])).
% 9.54/7.02 tff(39081,plain,
% 9.54/7.02 (xuntil6(s227)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39080, 39078])).
% 9.54/7.02 tff(39082,plain,
% 9.54/7.02 (until5(s228)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11098, 39081])).
% 9.54/7.02 tff(39083,plain,
% 9.54/7.02 (~node4(s228)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11102, 22, 39020])).
% 9.54/7.02 tff(39084,plain,
% 9.54/7.02 (xuntil6(s228) | (~until5(s228))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11109, 36, 39083])).
% 9.54/7.02 tff(39085,plain,
% 9.54/7.02 (xuntil6(s228)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39084, 39082])).
% 9.54/7.02 tff(39086,plain,
% 9.54/7.02 (until5(s229)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11115, 39085])).
% 9.54/7.02 tff(39087,plain,
% 9.54/7.02 (~node4(s229)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11119, 22, 39019])).
% 9.54/7.02 tff(39088,plain,
% 9.54/7.02 (xuntil6(s229) | (~until5(s229))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11126, 36, 39087])).
% 9.54/7.02 tff(39089,plain,
% 9.54/7.02 (xuntil6(s229)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39088, 39086])).
% 9.54/7.02 tff(39090,plain,
% 9.54/7.02 (until5(s230)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11132, 39089])).
% 9.54/7.02 tff(39091,plain,
% 9.54/7.02 (~node4(s230)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11136, 22, 39018])).
% 9.54/7.02 tff(39092,plain,
% 9.54/7.02 (xuntil6(s230) | (~until5(s230))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11143, 36, 39091])).
% 9.54/7.02 tff(39093,plain,
% 9.54/7.02 (xuntil6(s230)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39092, 39090])).
% 9.54/7.02 tff(39094,plain,
% 9.54/7.02 (until5(s231)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11149, 39093])).
% 9.54/7.02 tff(39095,plain,
% 9.54/7.02 (~node4(s231)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11153, 22, 39017])).
% 9.54/7.02 tff(39096,plain,
% 9.54/7.02 (xuntil6(s231) | (~until5(s231))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11160, 36, 39095])).
% 9.54/7.02 tff(39097,plain,
% 9.54/7.02 (xuntil6(s231)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39096, 39094])).
% 9.54/7.02 tff(39098,plain,
% 9.54/7.02 (until5(s232)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11166, 39097])).
% 9.54/7.02 tff(39099,plain,
% 9.54/7.02 (~node4(s232)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11170, 22, 39016])).
% 9.54/7.02 tff(39100,plain,
% 9.54/7.02 (xuntil6(s232) | (~until5(s232))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11177, 36, 39099])).
% 9.54/7.02 tff(39101,plain,
% 9.54/7.02 (xuntil6(s232)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39100, 39098])).
% 9.54/7.02 tff(39102,plain,
% 9.54/7.02 (until5(s233)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11183, 39101])).
% 9.54/7.02 tff(39103,plain,
% 9.54/7.02 (~node4(s233)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11187, 22, 39015])).
% 9.54/7.02 tff(39104,plain,
% 9.54/7.02 (xuntil6(s233) | (~until5(s233))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11194, 36, 39103])).
% 9.54/7.02 tff(39105,plain,
% 9.54/7.02 (xuntil6(s233)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39104, 39102])).
% 9.54/7.02 tff(39106,plain,
% 9.54/7.02 (until5(s234)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11200, 39105])).
% 9.54/7.02 tff(39107,plain,
% 9.54/7.02 (~node4(s234)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11204, 22, 39014])).
% 9.54/7.02 tff(39108,plain,
% 9.54/7.02 (xuntil6(s234) | (~until5(s234))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11211, 36, 39107])).
% 9.54/7.02 tff(39109,plain,
% 9.54/7.02 (xuntil6(s234)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39108, 39106])).
% 9.54/7.02 tff(39110,plain,
% 9.54/7.02 (until5(s235)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11217, 39109])).
% 9.54/7.02 tff(39111,plain,
% 9.54/7.02 (~node4(s235)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11221, 22, 39013])).
% 9.54/7.02 tff(39112,plain,
% 9.54/7.02 (xuntil6(s235) | (~until5(s235))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11228, 36, 39111])).
% 9.54/7.02 tff(39113,plain,
% 9.54/7.02 (xuntil6(s235)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39112, 39110])).
% 9.54/7.02 tff(39114,plain,
% 9.54/7.02 (until5(s236)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11234, 39113])).
% 9.54/7.02 tff(39115,plain,
% 9.54/7.02 (~node4(s236)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11238, 22, 39012])).
% 9.54/7.02 tff(39116,plain,
% 9.54/7.02 (xuntil6(s236) | (~until5(s236))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11245, 36, 39115])).
% 9.54/7.02 tff(39117,plain,
% 9.54/7.02 (xuntil6(s236)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39116, 39114])).
% 9.54/7.02 tff(39118,plain,
% 9.54/7.02 (until5(s237)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11251, 39117])).
% 9.54/7.02 tff(39119,plain,
% 9.54/7.02 (~node4(s237)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11255, 22, 39011])).
% 9.54/7.02 tff(39120,plain,
% 9.54/7.02 (xuntil6(s237) | (~until5(s237))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11262, 36, 39119])).
% 9.54/7.02 tff(39121,plain,
% 9.54/7.02 (xuntil6(s237)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39120, 39118])).
% 9.54/7.02 tff(39122,plain,
% 9.54/7.02 (until5(s238)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11268, 39121])).
% 9.54/7.02 tff(39123,plain,
% 9.54/7.02 (~node4(s238)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11272, 22, 39010])).
% 9.54/7.02 tff(39124,plain,
% 9.54/7.02 (xuntil6(s238) | (~until5(s238))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11279, 36, 39123])).
% 9.54/7.02 tff(39125,plain,
% 9.54/7.02 (xuntil6(s238)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39124, 39122])).
% 9.54/7.02 tff(39126,plain,
% 9.54/7.02 (until5(s239)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11285, 39125])).
% 9.54/7.02 tff(39127,plain,
% 9.54/7.02 (~node4(s239)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11289, 22, 39009])).
% 9.54/7.02 tff(39128,plain,
% 9.54/7.02 (xuntil6(s239) | (~until5(s239))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11296, 36, 39127])).
% 9.54/7.02 tff(39129,plain,
% 9.54/7.02 (xuntil6(s239)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39128, 39126])).
% 9.54/7.02 tff(39130,plain,
% 9.54/7.02 (until5(s240)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11302, 39129])).
% 9.54/7.02 tff(39131,plain,
% 9.54/7.02 (~node4(s240)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11306, 22, 39008])).
% 9.54/7.02 tff(39132,plain,
% 9.54/7.02 (xuntil6(s240) | (~until5(s240))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11313, 36, 39131])).
% 9.54/7.02 tff(39133,plain,
% 9.54/7.02 (xuntil6(s240)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39132, 39130])).
% 9.54/7.02 tff(39134,plain,
% 9.54/7.02 (until5(s241)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11319, 39133])).
% 9.54/7.02 tff(39135,plain,
% 9.54/7.02 (~node4(s241)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11323, 22, 39007])).
% 9.54/7.02 tff(39136,plain,
% 9.54/7.02 (xuntil6(s241) | (~until5(s241))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11330, 36, 39135])).
% 9.54/7.02 tff(39137,plain,
% 9.54/7.02 (xuntil6(s241)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39136, 39134])).
% 9.54/7.02 tff(39138,plain,
% 9.54/7.02 (until5(s242)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11336, 39137])).
% 9.54/7.02 tff(39139,plain,
% 9.54/7.02 (~node4(s242)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11340, 22, 39006])).
% 9.54/7.02 tff(39140,plain,
% 9.54/7.02 (xuntil6(s242) | (~until5(s242))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11347, 36, 39139])).
% 9.54/7.02 tff(39141,plain,
% 9.54/7.02 (xuntil6(s242)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39140, 39138])).
% 9.54/7.02 tff(39142,plain,
% 9.54/7.02 (until5(s243)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11353, 39141])).
% 9.54/7.02 tff(39143,plain,
% 9.54/7.02 (~node4(s243)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11357, 22, 39005])).
% 9.54/7.02 tff(39144,plain,
% 9.54/7.02 (xuntil6(s243) | (~until5(s243))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11364, 36, 39143])).
% 9.54/7.02 tff(39145,plain,
% 9.54/7.02 (xuntil6(s243)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39144, 39142])).
% 9.54/7.02 tff(39146,plain,
% 9.54/7.02 (until5(s244)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11370, 39145])).
% 9.54/7.02 tff(39147,plain,
% 9.54/7.02 (~node4(s244)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11374, 22, 39004])).
% 9.54/7.02 tff(39148,plain,
% 9.54/7.02 (xuntil6(s244) | (~until5(s244))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11381, 36, 39147])).
% 9.54/7.02 tff(39149,plain,
% 9.54/7.02 (xuntil6(s244)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39148, 39146])).
% 9.54/7.02 tff(39150,plain,
% 9.54/7.02 (until5(s245)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11387, 39149])).
% 9.54/7.02 tff(39151,plain,
% 9.54/7.02 (~node4(s245)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11391, 22, 39003])).
% 9.54/7.02 tff(39152,plain,
% 9.54/7.02 (xuntil6(s245) | (~until5(s245))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11398, 36, 39151])).
% 9.54/7.02 tff(39153,plain,
% 9.54/7.02 (xuntil6(s245)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39152, 39150])).
% 9.54/7.02 tff(39154,plain,
% 9.54/7.02 (until5(s246)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11404, 39153])).
% 9.54/7.02 tff(39155,plain,
% 9.54/7.02 (~node4(s246)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11408, 22, 39002])).
% 9.54/7.02 tff(39156,plain,
% 9.54/7.02 (xuntil6(s246) | (~until5(s246))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11415, 36, 39155])).
% 9.54/7.02 tff(39157,plain,
% 9.54/7.02 (xuntil6(s246)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39156, 39154])).
% 9.54/7.02 tff(39158,plain,
% 9.54/7.02 (until5(s247)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11421, 39157])).
% 9.54/7.02 tff(39159,plain,
% 9.54/7.02 (~node4(s247)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11425, 22, 39001])).
% 9.54/7.02 tff(39160,plain,
% 9.54/7.02 (xuntil6(s247) | (~until5(s247))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11432, 36, 39159])).
% 9.54/7.02 tff(39161,plain,
% 9.54/7.02 (xuntil6(s247)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39160, 39158])).
% 9.54/7.02 tff(39162,plain,
% 9.54/7.02 (until5(s248)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11438, 39161])).
% 9.54/7.02 tff(39163,plain,
% 9.54/7.02 (~node4(s248)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11442, 22, 39000])).
% 9.54/7.02 tff(39164,plain,
% 9.54/7.02 (xuntil6(s248) | (~until5(s248))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11449, 36, 39163])).
% 9.54/7.02 tff(39165,plain,
% 9.54/7.02 (xuntil6(s248)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39164, 39162])).
% 9.54/7.02 tff(39166,plain,
% 9.54/7.02 (until5(s249)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11455, 39165])).
% 9.54/7.02 tff(39167,plain,
% 9.54/7.02 (~node4(s249)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11459, 22, 38999])).
% 9.54/7.02 tff(39168,plain,
% 9.54/7.02 (xuntil6(s249) | (~until5(s249))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11466, 36, 39167])).
% 9.54/7.02 tff(39169,plain,
% 9.54/7.02 (xuntil6(s249)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39168, 39166])).
% 9.54/7.02 tff(39170,plain,
% 9.54/7.02 (until5(s250)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11472, 39169])).
% 9.54/7.02 tff(39171,plain,
% 9.54/7.02 (~node4(s250)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11476, 22, 38998])).
% 9.54/7.02 tff(39172,plain,
% 9.54/7.02 (xuntil6(s250) | (~until5(s250))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11483, 36, 39171])).
% 9.54/7.02 tff(39173,plain,
% 9.54/7.02 (xuntil6(s250)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39172, 39170])).
% 9.54/7.02 tff(39174,plain,
% 9.54/7.02 (until5(s251)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11489, 39173])).
% 9.54/7.02 tff(39175,plain,
% 9.54/7.02 (~node4(s251)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11493, 22, 38997])).
% 9.54/7.02 tff(39176,plain,
% 9.54/7.02 (xuntil6(s251) | (~until5(s251))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11500, 36, 39175])).
% 9.54/7.02 tff(39177,plain,
% 9.54/7.02 (xuntil6(s251)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39176, 39174])).
% 9.54/7.02 tff(39178,plain,
% 9.54/7.02 (until5(s252)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11506, 39177])).
% 9.54/7.02 tff(39179,plain,
% 9.54/7.02 (~node4(s252)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11510, 22, 38996])).
% 9.54/7.02 tff(39180,plain,
% 9.54/7.02 (xuntil6(s252) | (~until5(s252))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11517, 36, 39179])).
% 9.54/7.02 tff(39181,plain,
% 9.54/7.02 (xuntil6(s252)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39180, 39178])).
% 9.54/7.02 tff(39182,plain,
% 9.54/7.02 (until5(s253)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11523, 39181])).
% 9.54/7.02 tff(39183,plain,
% 9.54/7.02 (xuntil6(s253)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11532, 39182])).
% 9.54/7.02 tff(39184,plain,
% 9.54/7.02 (until5(s254)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11537, 39183])).
% 9.54/7.02 tff(39185,plain,
% 9.54/7.02 (~node4(s254)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11541, 22, 38994])).
% 9.54/7.02 tff(39186,plain,
% 9.54/7.02 (xuntil6(s254) | (~until5(s254))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11548, 36, 39185])).
% 9.54/7.02 tff(39187,plain,
% 9.54/7.02 (xuntil6(s254)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39186, 39184])).
% 9.54/7.02 tff(39188,plain,
% 9.54/7.02 (until5(s255)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11554, 39187])).
% 9.54/7.02 tff(39189,plain,
% 9.54/7.02 (~node4(s255)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11558, 22, 38993])).
% 9.54/7.02 tff(39190,plain,
% 9.54/7.02 (xuntil6(s255) | (~until5(s255))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11565, 36, 39189])).
% 9.54/7.02 tff(39191,plain,
% 9.54/7.02 (xuntil6(s255)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39190, 39188])).
% 9.54/7.02 tff(39192,plain,
% 9.54/7.02 (until5(s256)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11571, 39191])).
% 9.54/7.02 tff(39193,plain,
% 9.54/7.02 (~node4(s256)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11575, 22, 38992])).
% 9.54/7.02 tff(39194,plain,
% 9.54/7.02 (xuntil6(s256) | (~until5(s256))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11582, 36, 39193])).
% 9.54/7.02 tff(39195,plain,
% 9.54/7.02 (xuntil6(s256)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39194, 39192])).
% 9.54/7.02 tff(39196,plain,
% 9.54/7.02 (until5(s257)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11588, 39195])).
% 9.54/7.02 tff(39197,plain,
% 9.54/7.02 (~node4(s257)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11592, 22, 38991])).
% 9.54/7.02 tff(39198,plain,
% 9.54/7.02 (xuntil6(s257) | (~until5(s257))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11599, 36, 39197])).
% 9.54/7.02 tff(39199,plain,
% 9.54/7.02 (xuntil6(s257)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39198, 39196])).
% 9.54/7.02 tff(39200,plain,
% 9.54/7.02 (until5(s258)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11605, 39199])).
% 9.54/7.02 tff(39201,plain,
% 9.54/7.02 (~node4(s258)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11609, 22, 38990])).
% 9.54/7.02 tff(39202,plain,
% 9.54/7.02 (xuntil6(s258) | (~until5(s258))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11616, 36, 39201])).
% 9.54/7.02 tff(39203,plain,
% 9.54/7.02 (xuntil6(s258)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39202, 39200])).
% 9.54/7.02 tff(39204,plain,
% 9.54/7.02 (until5(s259)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11622, 39203])).
% 9.54/7.02 tff(39205,plain,
% 9.54/7.02 (~node4(s259)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11626, 22, 38989])).
% 9.54/7.02 tff(39206,plain,
% 9.54/7.02 (xuntil6(s259) | (~until5(s259))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11633, 36, 39205])).
% 9.54/7.02 tff(39207,plain,
% 9.54/7.02 (xuntil6(s259)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39206, 39204])).
% 9.54/7.02 tff(39208,plain,
% 9.54/7.02 (until5(s260)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11639, 39207])).
% 9.54/7.02 tff(39209,plain,
% 9.54/7.02 (~node4(s260)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11643, 22, 38988])).
% 9.54/7.02 tff(39210,plain,
% 9.54/7.02 (xuntil6(s260) | (~until5(s260))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11650, 36, 39209])).
% 9.54/7.02 tff(39211,plain,
% 9.54/7.02 (xuntil6(s260)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39210, 39208])).
% 9.54/7.02 tff(39212,plain,
% 9.54/7.02 (until5(s261)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11656, 39211])).
% 9.54/7.02 tff(39213,plain,
% 9.54/7.02 (~node4(s261)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11660, 22, 38987])).
% 9.54/7.02 tff(39214,plain,
% 9.54/7.02 (xuntil6(s261) | (~until5(s261))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11667, 36, 39213])).
% 9.54/7.02 tff(39215,plain,
% 9.54/7.02 (xuntil6(s261)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39214, 39212])).
% 9.54/7.02 tff(39216,plain,
% 9.54/7.02 (until5(s262)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11673, 39215])).
% 9.54/7.02 tff(39217,plain,
% 9.54/7.02 (~node4(s262)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11677, 22, 38986])).
% 9.54/7.02 tff(39218,plain,
% 9.54/7.02 (xuntil6(s262) | (~until5(s262))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11684, 36, 39217])).
% 9.54/7.02 tff(39219,plain,
% 9.54/7.02 (xuntil6(s262)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39218, 39216])).
% 9.54/7.02 tff(39220,plain,
% 9.54/7.02 (until5(s263)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11690, 39219])).
% 9.54/7.02 tff(39221,plain,
% 9.54/7.02 (~node4(s263)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11694, 22, 38985])).
% 9.54/7.02 tff(39222,plain,
% 9.54/7.02 (xuntil6(s263) | (~until5(s263))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11701, 36, 39221])).
% 9.54/7.02 tff(39223,plain,
% 9.54/7.02 (xuntil6(s263)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39222, 39220])).
% 9.54/7.02 tff(39224,plain,
% 9.54/7.02 (until5(s264)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11707, 39223])).
% 9.54/7.02 tff(39225,plain,
% 9.54/7.02 (~node4(s264)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11711, 22, 38984])).
% 9.54/7.02 tff(39226,plain,
% 9.54/7.02 (xuntil6(s264) | (~until5(s264))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11718, 36, 39225])).
% 9.54/7.02 tff(39227,plain,
% 9.54/7.02 (xuntil6(s264)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39226, 39224])).
% 9.54/7.02 tff(39228,plain,
% 9.54/7.02 (until5(s265)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11724, 39227])).
% 9.54/7.02 tff(39229,plain,
% 9.54/7.02 (~node4(s265)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11728, 22, 38983])).
% 9.54/7.02 tff(39230,plain,
% 9.54/7.02 (xuntil6(s265) | (~until5(s265))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11735, 36, 39229])).
% 9.54/7.02 tff(39231,plain,
% 9.54/7.02 (xuntil6(s265)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39230, 39228])).
% 9.54/7.02 tff(39232,plain,
% 9.54/7.02 (until5(s266)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11741, 39231])).
% 9.54/7.02 tff(39233,plain,
% 9.54/7.02 (~node4(s266)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11745, 22, 38982])).
% 9.54/7.02 tff(39234,plain,
% 9.54/7.02 (xuntil6(s266) | (~until5(s266))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11752, 36, 39233])).
% 9.54/7.02 tff(39235,plain,
% 9.54/7.02 (xuntil6(s266)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39234, 39232])).
% 9.54/7.02 tff(39236,plain,
% 9.54/7.02 (until5(s267)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11758, 39235])).
% 9.54/7.02 tff(39237,plain,
% 9.54/7.02 (~node4(s267)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11762, 22, 38981])).
% 9.54/7.02 tff(39238,plain,
% 9.54/7.02 (xuntil6(s267) | (~until5(s267))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11769, 36, 39237])).
% 9.54/7.02 tff(39239,plain,
% 9.54/7.02 (xuntil6(s267)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39238, 39236])).
% 9.54/7.02 tff(39240,plain,
% 9.54/7.02 (until5(s268)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11775, 39239])).
% 9.54/7.02 tff(39241,plain,
% 9.54/7.02 (~node4(s268)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11779, 22, 38980])).
% 9.54/7.02 tff(39242,plain,
% 9.54/7.02 (xuntil6(s268) | (~until5(s268))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11786, 36, 39241])).
% 9.54/7.02 tff(39243,plain,
% 9.54/7.02 (xuntil6(s268)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39242, 39240])).
% 9.54/7.02 tff(39244,plain,
% 9.54/7.02 (until5(s269)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11792, 39243])).
% 9.54/7.02 tff(39245,plain,
% 9.54/7.02 (~node4(s269)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11796, 22, 38979])).
% 9.54/7.02 tff(39246,plain,
% 9.54/7.02 (xuntil6(s269) | (~until5(s269))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11803, 36, 39245])).
% 9.54/7.02 tff(39247,plain,
% 9.54/7.02 (xuntil6(s269)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39246, 39244])).
% 9.54/7.02 tff(39248,plain,
% 9.54/7.02 (until5(s270)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11809, 39247])).
% 9.54/7.02 tff(39249,plain,
% 9.54/7.02 (~node4(s270)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11813, 22, 38978])).
% 9.54/7.02 tff(39250,plain,
% 9.54/7.02 (xuntil6(s270) | (~until5(s270))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11820, 36, 39249])).
% 9.54/7.02 tff(39251,plain,
% 9.54/7.02 (xuntil6(s270)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39250, 39248])).
% 9.54/7.02 tff(39252,plain,
% 9.54/7.02 (until5(s271)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11826, 39251])).
% 9.54/7.02 tff(39253,plain,
% 9.54/7.02 (~node4(s271)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11830, 22, 38977])).
% 9.54/7.02 tff(39254,plain,
% 9.54/7.02 (xuntil6(s271) | (~until5(s271))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11837, 36, 39253])).
% 9.54/7.02 tff(39255,plain,
% 9.54/7.02 (xuntil6(s271)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39254, 39252])).
% 9.54/7.02 tff(39256,plain,
% 9.54/7.02 (until5(s272)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11843, 39255])).
% 9.54/7.02 tff(39257,plain,
% 9.54/7.02 (~node4(s272)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11847, 22, 38976])).
% 9.54/7.02 tff(39258,plain,
% 9.54/7.02 (xuntil6(s272) | (~until5(s272))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11854, 36, 39257])).
% 9.54/7.02 tff(39259,plain,
% 9.54/7.02 (xuntil6(s272)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39258, 39256])).
% 9.54/7.02 tff(39260,plain,
% 9.54/7.02 (until5(s273)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11860, 39259])).
% 9.54/7.02 tff(39261,plain,
% 9.54/7.02 (~node4(s273)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11864, 22, 38975])).
% 9.54/7.02 tff(39262,plain,
% 9.54/7.02 (xuntil6(s273) | (~until5(s273))),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[11871, 36, 39261])).
% 9.54/7.02 tff(39263,plain,
% 9.54/7.02 (xuntil6(s273)),
% 9.54/7.02 inference(unit_resolution,[status(thm)],[39262, 39260])).
% 9.54/7.02 tff(39264,plain,
% 9.54/7.03 (until5(s274)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11877, 39263])).
% 9.54/7.03 tff(39265,plain,
% 9.54/7.03 (~node4(s274)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11881, 22, 38974])).
% 9.54/7.03 tff(39266,plain,
% 9.54/7.03 (xuntil6(s274) | (~until5(s274))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11888, 36, 39265])).
% 9.54/7.03 tff(39267,plain,
% 9.54/7.03 (xuntil6(s274)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39266, 39264])).
% 9.54/7.03 tff(39268,plain,
% 9.54/7.03 (until5(s275)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11894, 39267])).
% 9.54/7.03 tff(39269,plain,
% 9.54/7.03 (~node4(s275)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11898, 22, 38973])).
% 9.54/7.03 tff(39270,plain,
% 9.54/7.03 (xuntil6(s275) | (~until5(s275))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11905, 36, 39269])).
% 9.54/7.03 tff(39271,plain,
% 9.54/7.03 (xuntil6(s275)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39270, 39268])).
% 9.54/7.03 tff(39272,plain,
% 9.54/7.03 (until5(s276)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11911, 39271])).
% 9.54/7.03 tff(39273,plain,
% 9.54/7.03 (~node4(s276)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11915, 22, 38972])).
% 9.54/7.03 tff(39274,plain,
% 9.54/7.03 (xuntil6(s276) | (~until5(s276))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11922, 36, 39273])).
% 9.54/7.03 tff(39275,plain,
% 9.54/7.03 (xuntil6(s276)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39274, 39272])).
% 9.54/7.03 tff(39276,plain,
% 9.54/7.03 (until5(s277)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11928, 39275])).
% 9.54/7.03 tff(39277,plain,
% 9.54/7.03 (~node4(s277)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11932, 22, 38971])).
% 9.54/7.03 tff(39278,plain,
% 9.54/7.03 (xuntil6(s277) | (~until5(s277))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11939, 36, 39277])).
% 9.54/7.03 tff(39279,plain,
% 9.54/7.03 (xuntil6(s277)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39278, 39276])).
% 9.54/7.03 tff(39280,plain,
% 9.54/7.03 (until5(s278)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11945, 39279])).
% 9.54/7.03 tff(39281,plain,
% 9.54/7.03 (~node4(s278)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11949, 22, 38970])).
% 9.54/7.03 tff(39282,plain,
% 9.54/7.03 (xuntil6(s278) | (~until5(s278))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11956, 36, 39281])).
% 9.54/7.03 tff(39283,plain,
% 9.54/7.03 (xuntil6(s278)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39282, 39280])).
% 9.54/7.03 tff(39284,plain,
% 9.54/7.03 (until5(s279)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11962, 39283])).
% 9.54/7.03 tff(39285,plain,
% 9.54/7.03 (~node4(s279)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11966, 22, 38969])).
% 9.54/7.03 tff(39286,plain,
% 9.54/7.03 (xuntil6(s279) | (~until5(s279))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11973, 36, 39285])).
% 9.54/7.03 tff(39287,plain,
% 9.54/7.03 (xuntil6(s279)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39286, 39284])).
% 9.54/7.03 tff(39288,plain,
% 9.54/7.03 (until5(s280)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11979, 39287])).
% 9.54/7.03 tff(39289,plain,
% 9.54/7.03 (~node4(s280)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11983, 22, 38968])).
% 9.54/7.03 tff(39290,plain,
% 9.54/7.03 (xuntil6(s280) | (~until5(s280))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11990, 36, 39289])).
% 9.54/7.03 tff(39291,plain,
% 9.54/7.03 (xuntil6(s280)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39290, 39288])).
% 9.54/7.03 tff(39292,plain,
% 9.54/7.03 (until5(s281)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11996, 39291])).
% 9.54/7.03 tff(39293,plain,
% 9.54/7.03 (~node4(s281)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12000, 22, 38967])).
% 9.54/7.03 tff(39294,plain,
% 9.54/7.03 (xuntil6(s281) | (~until5(s281))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12007, 36, 39293])).
% 9.54/7.03 tff(39295,plain,
% 9.54/7.03 (xuntil6(s281)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39294, 39292])).
% 9.54/7.03 tff(39296,plain,
% 9.54/7.03 (until5(s282)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12013, 39295])).
% 9.54/7.03 tff(39297,plain,
% 9.54/7.03 (~node4(s282)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12017, 22, 38966])).
% 9.54/7.03 tff(39298,plain,
% 9.54/7.03 (xuntil6(s282) | (~until5(s282))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12024, 36, 39297])).
% 9.54/7.03 tff(39299,plain,
% 9.54/7.03 (xuntil6(s282)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39298, 39296])).
% 9.54/7.03 tff(39300,plain,
% 9.54/7.03 (until5(s283)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12030, 39299])).
% 9.54/7.03 tff(39301,plain,
% 9.54/7.03 (~node4(s283)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12034, 22, 38965])).
% 9.54/7.03 tff(39302,plain,
% 9.54/7.03 (xuntil6(s283) | (~until5(s283))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12041, 36, 39301])).
% 9.54/7.03 tff(39303,plain,
% 9.54/7.03 (xuntil6(s283)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39302, 39300])).
% 9.54/7.03 tff(39304,plain,
% 9.54/7.03 (until5(s284)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12047, 39303])).
% 9.54/7.03 tff(39305,plain,
% 9.54/7.03 (~node4(s284)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12051, 22, 38964])).
% 9.54/7.03 tff(39306,plain,
% 9.54/7.03 (xuntil6(s284) | (~until5(s284))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12058, 36, 39305])).
% 9.54/7.03 tff(39307,plain,
% 9.54/7.03 (xuntil6(s284)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39306, 39304])).
% 9.54/7.03 tff(39308,plain,
% 9.54/7.03 (until5(s285)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12064, 39307])).
% 9.54/7.03 tff(39309,plain,
% 9.54/7.03 (~node4(s285)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12068, 22, 38963])).
% 9.54/7.03 tff(39310,plain,
% 9.54/7.03 (xuntil6(s285) | (~until5(s285))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12075, 36, 39309])).
% 9.54/7.03 tff(39311,plain,
% 9.54/7.03 (xuntil6(s285)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39310, 39308])).
% 9.54/7.03 tff(39312,plain,
% 9.54/7.03 (until5(s286)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12081, 39311])).
% 9.54/7.03 tff(39313,plain,
% 9.54/7.03 (~node4(s286)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12085, 22, 38962])).
% 9.54/7.03 tff(39314,plain,
% 9.54/7.03 (xuntil6(s286) | (~until5(s286))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12092, 36, 39313])).
% 9.54/7.03 tff(39315,plain,
% 9.54/7.03 (xuntil6(s286)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39314, 39312])).
% 9.54/7.03 tff(39316,plain,
% 9.54/7.03 (until5(s287)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12098, 39315])).
% 9.54/7.03 tff(39317,plain,
% 9.54/7.03 (~node4(s287)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12102, 22, 38961])).
% 9.54/7.03 tff(39318,plain,
% 9.54/7.03 (xuntil6(s287) | (~until5(s287))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12109, 36, 39317])).
% 9.54/7.03 tff(39319,plain,
% 9.54/7.03 (xuntil6(s287)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39318, 39316])).
% 9.54/7.03 tff(39320,plain,
% 9.54/7.03 (until5(s288)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12115, 39319])).
% 9.54/7.03 tff(39321,plain,
% 9.54/7.03 (~node4(s288)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12119, 22, 38960])).
% 9.54/7.03 tff(39322,plain,
% 9.54/7.03 (xuntil6(s288) | (~until5(s288))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12126, 36, 39321])).
% 9.54/7.03 tff(39323,plain,
% 9.54/7.03 (xuntil6(s288)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39322, 39320])).
% 9.54/7.03 tff(39324,plain,
% 9.54/7.03 (until5(s289)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12132, 39323])).
% 9.54/7.03 tff(39325,plain,
% 9.54/7.03 (~node4(s289)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12136, 22, 38959])).
% 9.54/7.03 tff(39326,plain,
% 9.54/7.03 (xuntil6(s289) | (~until5(s289))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12143, 36, 39325])).
% 9.54/7.03 tff(39327,plain,
% 9.54/7.03 (xuntil6(s289)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39326, 39324])).
% 9.54/7.03 tff(39328,plain,
% 9.54/7.03 (until5(s290)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12149, 39327])).
% 9.54/7.03 tff(39329,plain,
% 9.54/7.03 (~node4(s290)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12153, 22, 38958])).
% 9.54/7.03 tff(39330,plain,
% 9.54/7.03 (xuntil6(s290) | (~until5(s290))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12160, 36, 39329])).
% 9.54/7.03 tff(39331,plain,
% 9.54/7.03 (xuntil6(s290)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39330, 39328])).
% 9.54/7.03 tff(39332,plain,
% 9.54/7.03 (until5(s291)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12166, 39331])).
% 9.54/7.03 tff(39333,plain,
% 9.54/7.03 (~node4(s291)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12170, 22, 38957])).
% 9.54/7.03 tff(39334,plain,
% 9.54/7.03 (xuntil6(s291) | (~until5(s291))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12177, 36, 39333])).
% 9.54/7.03 tff(39335,plain,
% 9.54/7.03 (xuntil6(s291)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39334, 39332])).
% 9.54/7.03 tff(39336,plain,
% 9.54/7.03 (until5(s292)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12183, 39335])).
% 9.54/7.03 tff(39337,plain,
% 9.54/7.03 (~node4(s292)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12187, 22, 38956])).
% 9.54/7.03 tff(39338,plain,
% 9.54/7.03 (xuntil6(s292) | (~until5(s292))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12194, 36, 39337])).
% 9.54/7.03 tff(39339,plain,
% 9.54/7.03 (xuntil6(s292)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39338, 39336])).
% 9.54/7.03 tff(39340,plain,
% 9.54/7.03 (until5(s293)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12200, 39339])).
% 9.54/7.03 tff(39341,plain,
% 9.54/7.03 (~node4(s293)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12204, 22, 38955])).
% 9.54/7.03 tff(39342,plain,
% 9.54/7.03 (xuntil6(s293) | (~until5(s293))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12211, 36, 39341])).
% 9.54/7.03 tff(39343,plain,
% 9.54/7.03 (xuntil6(s293)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39342, 39340])).
% 9.54/7.03 tff(39344,plain,
% 9.54/7.03 (until5(s294)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12217, 39343])).
% 9.54/7.03 tff(39345,plain,
% 9.54/7.03 (~node4(s294)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12221, 22, 38954])).
% 9.54/7.03 tff(39346,plain,
% 9.54/7.03 (xuntil6(s294) | (~until5(s294))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12228, 36, 39345])).
% 9.54/7.03 tff(39347,plain,
% 9.54/7.03 (xuntil6(s294)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39346, 39344])).
% 9.54/7.03 tff(39348,plain,
% 9.54/7.03 (until5(s295)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12234, 39347])).
% 9.54/7.03 tff(39349,plain,
% 9.54/7.03 (~node4(s295)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12238, 22, 38953])).
% 9.54/7.03 tff(39350,plain,
% 9.54/7.03 (xuntil6(s295) | (~until5(s295))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12245, 36, 39349])).
% 9.54/7.03 tff(39351,plain,
% 9.54/7.03 (xuntil6(s295)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39350, 39348])).
% 9.54/7.03 tff(39352,plain,
% 9.54/7.03 (until5(s296)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12251, 39351])).
% 9.54/7.03 tff(39353,plain,
% 9.54/7.03 (~node4(s296)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12255, 22, 38952])).
% 9.54/7.03 tff(39354,plain,
% 9.54/7.03 (xuntil6(s296) | (~until5(s296))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12262, 36, 39353])).
% 9.54/7.03 tff(39355,plain,
% 9.54/7.03 (xuntil6(s296)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39354, 39352])).
% 9.54/7.03 tff(39356,plain,
% 9.54/7.03 (until5(s297)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12268, 39355])).
% 9.54/7.03 tff(39357,plain,
% 9.54/7.03 (~node4(s297)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12272, 22, 38951])).
% 9.54/7.03 tff(39358,plain,
% 9.54/7.03 (xuntil6(s297) | (~until5(s297))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12279, 36, 39357])).
% 9.54/7.03 tff(39359,plain,
% 9.54/7.03 (xuntil6(s297)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39358, 39356])).
% 9.54/7.03 tff(39360,plain,
% 9.54/7.03 (until5(s298)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12285, 39359])).
% 9.54/7.03 tff(39361,plain,
% 9.54/7.03 (~node4(s298)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12289, 22, 38950])).
% 9.54/7.03 tff(39362,plain,
% 9.54/7.03 (xuntil6(s298) | (~until5(s298))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12296, 36, 39361])).
% 9.54/7.03 tff(39363,plain,
% 9.54/7.03 (xuntil6(s298)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39362, 39360])).
% 9.54/7.03 tff(39364,plain,
% 9.54/7.03 (until5(s299)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12302, 39363])).
% 9.54/7.03 tff(39365,plain,
% 9.54/7.03 (~node4(s299)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12306, 22, 38949])).
% 9.54/7.03 tff(39366,plain,
% 9.54/7.03 (xuntil6(s299) | (~until5(s299))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12313, 36, 39365])).
% 9.54/7.03 tff(39367,plain,
% 9.54/7.03 (xuntil6(s299)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39366, 39364])).
% 9.54/7.03 tff(39368,plain,
% 9.54/7.03 (until5(s300)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12319, 39367])).
% 9.54/7.03 tff(39369,plain,
% 9.54/7.03 (~node4(s300)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12323, 22, 38948])).
% 9.54/7.03 tff(39370,plain,
% 9.54/7.03 (xuntil6(s300) | (~until5(s300))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12330, 36, 39369])).
% 9.54/7.03 tff(39371,plain,
% 9.54/7.03 (xuntil6(s300)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39370, 39368])).
% 9.54/7.03 tff(39372,plain,
% 9.54/7.03 (until5(s301)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12336, 39371])).
% 9.54/7.03 tff(39373,plain,
% 9.54/7.03 (~node4(s301)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12340, 22, 38947])).
% 9.54/7.03 tff(39374,plain,
% 9.54/7.03 (xuntil6(s301) | (~until5(s301))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12347, 36, 39373])).
% 9.54/7.03 tff(39375,plain,
% 9.54/7.03 (xuntil6(s301)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39374, 39372])).
% 9.54/7.03 tff(39376,plain,
% 9.54/7.03 (until5(s302)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12353, 39375])).
% 9.54/7.03 tff(39377,plain,
% 9.54/7.03 (~node4(s302)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12357, 22, 38946])).
% 9.54/7.03 tff(39378,plain,
% 9.54/7.03 (xuntil6(s302) | (~until5(s302))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12364, 36, 39377])).
% 9.54/7.03 tff(39379,plain,
% 9.54/7.03 (xuntil6(s302)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39378, 39376])).
% 9.54/7.03 tff(39380,plain,
% 9.54/7.03 (until5(s303)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12370, 39379])).
% 9.54/7.03 tff(39381,plain,
% 9.54/7.03 (~node4(s303)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12374, 22, 38945])).
% 9.54/7.03 tff(39382,plain,
% 9.54/7.03 (xuntil6(s303) | (~until5(s303))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12381, 36, 39381])).
% 9.54/7.03 tff(39383,plain,
% 9.54/7.03 (xuntil6(s303)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39382, 39380])).
% 9.54/7.03 tff(39384,plain,
% 9.54/7.03 (until5(s304)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12387, 39383])).
% 9.54/7.03 tff(39385,plain,
% 9.54/7.03 (~node4(s304)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12391, 22, 38944])).
% 9.54/7.03 tff(39386,plain,
% 9.54/7.03 (xuntil6(s304) | (~until5(s304))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12398, 36, 39385])).
% 9.54/7.03 tff(39387,plain,
% 9.54/7.03 (xuntil6(s304)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39386, 39384])).
% 9.54/7.03 tff(39388,plain,
% 9.54/7.03 (until5(s305)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12404, 39387])).
% 9.54/7.03 tff(39389,plain,
% 9.54/7.03 (~node4(s305)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12408, 22, 38943])).
% 9.54/7.03 tff(39390,plain,
% 9.54/7.03 (xuntil6(s305) | (~until5(s305))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12415, 36, 39389])).
% 9.54/7.03 tff(39391,plain,
% 9.54/7.03 (xuntil6(s305)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39390, 39388])).
% 9.54/7.03 tff(39392,plain,
% 9.54/7.03 (until5(s306)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12421, 39391])).
% 9.54/7.03 tff(39393,plain,
% 9.54/7.03 (~node4(s306)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12425, 22, 38942])).
% 9.54/7.03 tff(39394,plain,
% 9.54/7.03 (xuntil6(s306) | (~until5(s306))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12432, 36, 39393])).
% 9.54/7.03 tff(39395,plain,
% 9.54/7.03 (xuntil6(s306)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39394, 39392])).
% 9.54/7.03 tff(39396,plain,
% 9.54/7.03 (until5(s307)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12438, 39395])).
% 9.54/7.03 tff(39397,plain,
% 9.54/7.03 (~node4(s307)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12442, 22, 38941])).
% 9.54/7.03 tff(39398,plain,
% 9.54/7.03 (xuntil6(s307) | (~until5(s307))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12449, 36, 39397])).
% 9.54/7.03 tff(39399,plain,
% 9.54/7.03 (xuntil6(s307)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39398, 39396])).
% 9.54/7.03 tff(39400,plain,
% 9.54/7.03 (until5(s308)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12455, 39399])).
% 9.54/7.03 tff(39401,plain,
% 9.54/7.03 (~node4(s308)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12459, 22, 38940])).
% 9.54/7.03 tff(39402,plain,
% 9.54/7.03 (xuntil6(s308) | (~until5(s308))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12466, 36, 39401])).
% 9.54/7.03 tff(39403,plain,
% 9.54/7.03 (xuntil6(s308)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39402, 39400])).
% 9.54/7.03 tff(39404,plain,
% 9.54/7.03 (until5(s309)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12472, 39403])).
% 9.54/7.03 tff(39405,plain,
% 9.54/7.03 (~node4(s309)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12476, 22, 38939])).
% 9.54/7.03 tff(39406,plain,
% 9.54/7.03 (xuntil6(s309) | (~until5(s309))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12483, 36, 39405])).
% 9.54/7.03 tff(39407,plain,
% 9.54/7.03 (xuntil6(s309)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39406, 39404])).
% 9.54/7.03 tff(39408,plain,
% 9.54/7.03 (until5(s310)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12489, 39407])).
% 9.54/7.03 tff(39409,plain,
% 9.54/7.03 (~node4(s310)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12493, 22, 38938])).
% 9.54/7.03 tff(39410,plain,
% 9.54/7.03 (xuntil6(s310) | (~until5(s310))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12500, 36, 39409])).
% 9.54/7.03 tff(39411,plain,
% 9.54/7.03 (xuntil6(s310)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39410, 39408])).
% 9.54/7.03 tff(39412,plain,
% 9.54/7.03 (until5(s311)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12506, 39411])).
% 9.54/7.03 tff(39413,plain,
% 9.54/7.03 (~node4(s311)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12510, 22, 38937])).
% 9.54/7.03 tff(39414,plain,
% 9.54/7.03 (xuntil6(s311) | (~until5(s311))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12517, 36, 39413])).
% 9.54/7.03 tff(39415,plain,
% 9.54/7.03 (xuntil6(s311)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39414, 39412])).
% 9.54/7.03 tff(39416,plain,
% 9.54/7.03 (until5(s312)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12523, 39415])).
% 9.54/7.03 tff(39417,plain,
% 9.54/7.03 (~node4(s312)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12527, 22, 38936])).
% 9.54/7.03 tff(39418,plain,
% 9.54/7.03 (xuntil6(s312) | (~until5(s312))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12534, 36, 39417])).
% 9.54/7.03 tff(39419,plain,
% 9.54/7.03 (xuntil6(s312)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39418, 39416])).
% 9.54/7.03 tff(39420,plain,
% 9.54/7.03 (until5(s313)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12540, 39419])).
% 9.54/7.03 tff(39421,assumption,(~xuntil6(s313)), introduced(assumption)).
% 9.54/7.03 tff(39422,plain,
% 9.54/7.03 (node4(s313) | (~until5(s313))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12551, 36, 39421])).
% 9.54/7.03 tff(39423,plain,
% 9.54/7.03 (node4(s313)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39422, 39420])).
% 9.54/7.03 tff(39424,plain,
% 9.54/7.03 ($false),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12544, 22, 38935, 39423])).
% 9.54/7.03 tff(39425,plain,(always3(s313) | xuntil6(s313) | node4(s253) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.54/7.03 tff(39426,plain,
% 9.54/7.03 (always3(s313)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39425, 38934, 6320, 38911])).
% 9.54/7.03 tff(39427,plain,
% 9.54/7.03 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s313)) | (~m_main_v_state(s313, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s313)) | (~m_main_v_state(s313, c_busy)))),
% 9.54/7.03 inference(rewrite,[status(thm)],[])).
% 9.54/7.03 tff(39428,plain,
% 9.54/7.03 (((~m_main_v_state(s313, c_busy)) | (~always3(s313))) <=> ((~always3(s313)) | (~m_main_v_state(s313, c_busy)))),
% 9.54/7.03 inference(rewrite,[status(thm)],[])).
% 9.54/7.03 tff(39429,plain,
% 9.54/7.03 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s313, c_busy)) | (~always3(s313)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s313)) | (~m_main_v_state(s313, c_busy))))),
% 9.54/7.03 inference(monotonicity,[status(thm)],[39428])).
% 9.54/7.03 tff(39430,plain,
% 9.54/7.03 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s313, c_busy)) | (~always3(s313)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s313)) | (~m_main_v_state(s313, c_busy)))),
% 9.54/7.03 inference(transitivity,[status(thm)],[39429, 39427])).
% 9.54/7.03 tff(39431,plain,
% 9.54/7.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s313, c_busy)) | (~always3(s313)))),
% 9.54/7.03 inference(quant_inst,[status(thm)],[])).
% 9.54/7.03 tff(39432,plain,
% 9.54/7.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s313)) | (~m_main_v_state(s313, c_busy))),
% 9.54/7.03 inference(modus_ponens,[status(thm)],[39431, 39430])).
% 9.54/7.03 tff(39433,plain,
% 9.54/7.03 (~m_main_v_state(s313, c_busy)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39432, 170, 39426])).
% 9.54/7.03 tff(39434,plain,
% 9.54/7.03 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s313, c_busy) | m_main_v_state(s313, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s313, c_busy) | m_main_v_state(s313, c_ready))),
% 9.54/7.03 inference(rewrite,[status(thm)],[])).
% 9.54/7.03 tff(39435,plain,
% 9.54/7.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s313, c_busy) | m_main_v_state(s313, c_ready))),
% 9.54/7.03 inference(quant_inst,[status(thm)],[])).
% 9.54/7.03 tff(39436,plain,
% 9.54/7.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s313, c_busy) | m_main_v_state(s313, c_ready)),
% 9.54/7.03 inference(modus_ponens,[status(thm)],[39435, 39434])).
% 9.54/7.03 tff(39437,plain,
% 9.54/7.03 (m_main_v_state(s313, c_ready)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39436, 213, 39433])).
% 9.54/7.03 tff(39438,plain,
% 9.54/7.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s313, s314)) | node2(s313, s314))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s313, s314)) | node2(s313, s314))),
% 9.54/7.03 inference(rewrite,[status(thm)],[])).
% 9.54/7.03 tff(39439,plain,
% 9.54/7.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s313, s314)) | node2(s313, s314))),
% 9.54/7.03 inference(quant_inst,[status(thm)],[])).
% 9.54/7.03 tff(39440,plain,
% 9.54/7.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s313, s314)) | node2(s313, s314)),
% 9.54/7.03 inference(modus_ponens,[status(thm)],[39439, 39438])).
% 9.54/7.03 tff(39441,plain,
% 9.54/7.03 (node2(s313, s314)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39440, 7, 5153])).
% 9.54/7.03 tff(39442,plain,
% 9.54/7.03 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s313, c_ready)) | (~node2(s313, s314)) | m_main_v_state(s314, c_busy) | (~m_main_v_request(s313)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s313, c_ready)) | (~node2(s313, s314)) | m_main_v_state(s314, c_busy) | (~m_main_v_request(s313)))),
% 9.54/7.03 inference(rewrite,[status(thm)],[])).
% 9.54/7.03 tff(39443,plain,
% 9.54/7.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s313, c_ready)) | (~node2(s313, s314)) | m_main_v_state(s314, c_busy) | (~m_main_v_request(s313)))),
% 9.54/7.03 inference(quant_inst,[status(thm)],[])).
% 9.54/7.03 tff(39444,plain,
% 9.54/7.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s313, c_ready)) | (~node2(s313, s314)) | m_main_v_state(s314, c_busy) | (~m_main_v_request(s313))),
% 9.54/7.03 inference(modus_ponens,[status(thm)],[39443, 39442])).
% 9.54/7.03 tff(39445,plain,
% 9.54/7.03 ((~m_main_v_state(s313, c_ready)) | m_main_v_state(s314, c_busy) | (~m_main_v_request(s313))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39444, 191, 39441])).
% 9.54/7.03 tff(39446,plain,
% 9.54/7.03 (~m_main_v_request(s313)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39445, 39437, 38913])).
% 9.54/7.03 tff(39447,plain,
% 9.54/7.03 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s313) | (~node4(s313)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s313) | (~node4(s313)))),
% 9.54/7.03 inference(rewrite,[status(thm)],[])).
% 9.54/7.03 tff(39448,plain,
% 9.54/7.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s313) | (~node4(s313)))),
% 9.54/7.03 inference(quant_inst,[status(thm)],[])).
% 9.54/7.03 tff(39449,plain,
% 9.54/7.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s313) | (~node4(s313))),
% 9.54/7.03 inference(modus_ponens,[status(thm)],[39448, 39447])).
% 9.54/7.03 tff(39450,plain,
% 9.54/7.03 (~node4(s313)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39449, 154, 39446])).
% 9.54/7.03 tff(39451,plain,
% 9.54/7.03 (node4(s313) | (~until5(s313))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12551, 36, 38934])).
% 9.54/7.03 tff(39452,plain,
% 9.54/7.03 (~until5(s313)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39451, 39450])).
% 9.54/7.03 tff(39453,plain,
% 9.54/7.03 (~xuntil6(s312)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12540, 39452])).
% 9.54/7.03 tff(39454,assumption,(~always3(s312)), introduced(assumption)).
% 9.54/7.03 tff(39455,plain,
% 9.54/7.03 (~always3(s311)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5181, 39454])).
% 9.54/7.03 tff(39456,plain,
% 9.54/7.03 (~always3(s310)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5193, 39455])).
% 9.54/7.03 tff(39457,plain,
% 9.54/7.03 (~always3(s309)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5205, 39456])).
% 9.54/7.03 tff(39458,plain,
% 9.54/7.03 (~always3(s308)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5217, 39457])).
% 9.54/7.03 tff(39459,plain,
% 9.54/7.03 (~always3(s307)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5229, 39458])).
% 9.54/7.03 tff(39460,plain,
% 9.54/7.03 (~always3(s306)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5241, 39459])).
% 9.54/7.03 tff(39461,plain,
% 9.54/7.03 (~always3(s305)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5253, 39460])).
% 9.54/7.03 tff(39462,plain,
% 9.54/7.03 (~always3(s304)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5265, 39461])).
% 9.54/7.03 tff(39463,plain,
% 9.54/7.03 (~always3(s303)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5277, 39462])).
% 9.54/7.03 tff(39464,plain,
% 9.54/7.03 (~always3(s302)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5289, 39463])).
% 9.54/7.03 tff(39465,plain,
% 9.54/7.03 (~always3(s301)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5301, 39464])).
% 9.54/7.03 tff(39466,plain,
% 9.54/7.03 (~always3(s300)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5313, 39465])).
% 9.54/7.03 tff(39467,plain,
% 9.54/7.03 (~always3(s299)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5325, 39466])).
% 9.54/7.03 tff(39468,plain,
% 9.54/7.03 (~always3(s298)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5337, 39467])).
% 9.54/7.03 tff(39469,plain,
% 9.54/7.03 (~always3(s297)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5349, 39468])).
% 9.54/7.03 tff(39470,plain,
% 9.54/7.03 (~always3(s296)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5361, 39469])).
% 9.54/7.03 tff(39471,plain,
% 9.54/7.03 (~always3(s295)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5373, 39470])).
% 9.54/7.03 tff(39472,plain,
% 9.54/7.03 (~always3(s294)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5385, 39471])).
% 9.54/7.03 tff(39473,plain,
% 9.54/7.03 (~always3(s293)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5397, 39472])).
% 9.54/7.03 tff(39474,plain,
% 9.54/7.03 (~always3(s292)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5409, 39473])).
% 9.54/7.03 tff(39475,plain,
% 9.54/7.03 (~always3(s291)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5421, 39474])).
% 9.54/7.03 tff(39476,plain,
% 9.54/7.03 (~always3(s290)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5433, 39475])).
% 9.54/7.03 tff(39477,plain,
% 9.54/7.03 (~always3(s289)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5445, 39476])).
% 9.54/7.03 tff(39478,plain,
% 9.54/7.03 (~always3(s288)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5457, 39477])).
% 9.54/7.03 tff(39479,plain,
% 9.54/7.03 (~always3(s287)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5469, 39478])).
% 9.54/7.03 tff(39480,plain,
% 9.54/7.03 (~always3(s286)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5481, 39479])).
% 9.54/7.03 tff(39481,plain,
% 9.54/7.03 (~always3(s285)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5493, 39480])).
% 9.54/7.03 tff(39482,plain,
% 9.54/7.03 (~always3(s284)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5505, 39481])).
% 9.54/7.03 tff(39483,plain,
% 9.54/7.03 (~always3(s283)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5517, 39482])).
% 9.54/7.03 tff(39484,plain,
% 9.54/7.03 (~always3(s282)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5529, 39483])).
% 9.54/7.03 tff(39485,plain,
% 9.54/7.03 (~always3(s281)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5541, 39484])).
% 9.54/7.03 tff(39486,plain,
% 9.54/7.03 (~always3(s280)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5553, 39485])).
% 9.54/7.03 tff(39487,plain,
% 9.54/7.03 (~always3(s279)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5565, 39486])).
% 9.54/7.03 tff(39488,plain,
% 9.54/7.03 (~always3(s278)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5577, 39487])).
% 9.54/7.03 tff(39489,plain,
% 9.54/7.03 (~always3(s277)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5589, 39488])).
% 9.54/7.03 tff(39490,plain,
% 9.54/7.03 (~always3(s276)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5601, 39489])).
% 9.54/7.03 tff(39491,plain,
% 9.54/7.03 (~always3(s275)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5613, 39490])).
% 9.54/7.03 tff(39492,plain,
% 9.54/7.03 (~always3(s274)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5625, 39491])).
% 9.54/7.03 tff(39493,plain,
% 9.54/7.03 (~always3(s273)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5637, 39492])).
% 9.54/7.03 tff(39494,plain,
% 9.54/7.03 (~always3(s272)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5649, 39493])).
% 9.54/7.03 tff(39495,plain,
% 9.54/7.03 (~always3(s271)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5661, 39494])).
% 9.54/7.03 tff(39496,plain,
% 9.54/7.03 (~always3(s270)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5673, 39495])).
% 9.54/7.03 tff(39497,plain,
% 9.54/7.03 (~always3(s269)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5685, 39496])).
% 9.54/7.03 tff(39498,plain,
% 9.54/7.03 (~always3(s268)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5697, 39497])).
% 9.54/7.03 tff(39499,plain,
% 9.54/7.03 (~always3(s267)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5709, 39498])).
% 9.54/7.03 tff(39500,plain,
% 9.54/7.03 (~always3(s266)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5721, 39499])).
% 9.54/7.03 tff(39501,plain,
% 9.54/7.03 (~always3(s265)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5733, 39500])).
% 9.54/7.03 tff(39502,plain,
% 9.54/7.03 (~always3(s264)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5745, 39501])).
% 9.54/7.03 tff(39503,plain,
% 9.54/7.03 (~always3(s263)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5757, 39502])).
% 9.54/7.03 tff(39504,plain,
% 9.54/7.03 (~always3(s262)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5769, 39503])).
% 9.54/7.03 tff(39505,plain,
% 9.54/7.03 (~always3(s261)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5781, 39504])).
% 9.54/7.03 tff(39506,plain,
% 9.54/7.03 (~always3(s260)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5793, 39505])).
% 9.54/7.03 tff(39507,plain,
% 9.54/7.03 (~always3(s259)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5805, 39506])).
% 9.54/7.03 tff(39508,plain,
% 9.54/7.03 (~always3(s258)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5817, 39507])).
% 9.54/7.03 tff(39509,plain,
% 9.54/7.03 (~always3(s257)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5829, 39508])).
% 9.54/7.03 tff(39510,plain,
% 9.54/7.03 (~always3(s256)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5841, 39509])).
% 9.54/7.03 tff(39511,plain,
% 9.54/7.03 (~always3(s255)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5853, 39510])).
% 9.54/7.03 tff(39512,plain,
% 9.54/7.03 (~always3(s254)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5865, 39511])).
% 9.54/7.03 tff(39513,plain,
% 9.54/7.03 (~always3(s253)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5092, 39512])).
% 9.54/7.03 tff(39514,plain,
% 9.54/7.03 (~always3(s252)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5878, 39513])).
% 9.54/7.03 tff(39515,plain,
% 9.54/7.03 (~always3(s251)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5890, 39514])).
% 9.54/7.03 tff(39516,plain,
% 9.54/7.03 (~always3(s250)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5902, 39515])).
% 9.54/7.03 tff(39517,plain,
% 9.54/7.03 (~always3(s249)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5914, 39516])).
% 9.54/7.03 tff(39518,plain,
% 9.54/7.03 (~always3(s248)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5926, 39517])).
% 9.54/7.03 tff(39519,plain,
% 9.54/7.03 (~always3(s247)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5938, 39518])).
% 9.54/7.03 tff(39520,plain,
% 9.54/7.03 (~always3(s246)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5950, 39519])).
% 9.54/7.03 tff(39521,plain,
% 9.54/7.03 (~always3(s245)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5962, 39520])).
% 9.54/7.03 tff(39522,plain,
% 9.54/7.03 (~always3(s244)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5974, 39521])).
% 9.54/7.03 tff(39523,plain,
% 9.54/7.03 (~always3(s243)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5986, 39522])).
% 9.54/7.03 tff(39524,plain,
% 9.54/7.03 (~always3(s242)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[5998, 39523])).
% 9.54/7.03 tff(39525,plain,
% 9.54/7.03 (~always3(s241)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6010, 39524])).
% 9.54/7.03 tff(39526,plain,
% 9.54/7.03 (~always3(s240)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6022, 39525])).
% 9.54/7.03 tff(39527,plain,
% 9.54/7.03 (~always3(s239)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6034, 39526])).
% 9.54/7.03 tff(39528,plain,
% 9.54/7.03 (~always3(s238)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6046, 39527])).
% 9.54/7.03 tff(39529,plain,
% 9.54/7.03 (~always3(s237)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6058, 39528])).
% 9.54/7.03 tff(39530,plain,
% 9.54/7.03 (~always3(s236)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6070, 39529])).
% 9.54/7.03 tff(39531,plain,
% 9.54/7.03 (~always3(s235)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6082, 39530])).
% 9.54/7.03 tff(39532,plain,
% 9.54/7.03 (~always3(s234)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6094, 39531])).
% 9.54/7.03 tff(39533,plain,
% 9.54/7.03 (~always3(s233)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6106, 39532])).
% 9.54/7.03 tff(39534,plain,
% 9.54/7.03 (~always3(s232)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6118, 39533])).
% 9.54/7.03 tff(39535,plain,
% 9.54/7.03 (~always3(s231)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6130, 39534])).
% 9.54/7.03 tff(39536,plain,
% 9.54/7.03 (~always3(s230)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6142, 39535])).
% 9.54/7.03 tff(39537,plain,
% 9.54/7.03 (~always3(s229)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6154, 39536])).
% 9.54/7.03 tff(39538,plain,
% 9.54/7.03 (~always3(s228)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6166, 39537])).
% 9.54/7.03 tff(39539,plain,
% 9.54/7.03 (~always3(s227)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6178, 39538])).
% 9.54/7.03 tff(39540,plain,
% 9.54/7.03 (~always3(s226)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6190, 39539])).
% 9.54/7.03 tff(39541,plain,
% 9.54/7.03 (~always3(s225)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6202, 39540])).
% 9.54/7.03 tff(39542,plain,
% 9.54/7.03 (~always3(s224)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6214, 39541])).
% 9.54/7.03 tff(39543,plain,
% 9.54/7.03 (~always3(s223)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6226, 39542])).
% 9.54/7.03 tff(39544,plain,
% 9.54/7.03 (~always3(s222)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6238, 39543])).
% 9.54/7.03 tff(39545,plain,
% 9.54/7.03 (~always3(s221)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6250, 39544])).
% 9.54/7.03 tff(39546,plain,
% 9.54/7.03 (~always3(s220)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6262, 39545])).
% 9.54/7.03 tff(39547,plain,
% 9.54/7.03 (~always3(s219)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6274, 39546])).
% 9.54/7.03 tff(39548,plain,
% 9.54/7.03 (~always3(s218)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6286, 39547])).
% 9.54/7.03 tff(39549,plain,
% 9.54/7.03 (~always3(s217)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6298, 39548])).
% 9.54/7.03 tff(39550,plain,
% 9.54/7.03 (~node4(s217)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6302, 22, 39549])).
% 9.54/7.03 tff(39551,plain,
% 9.54/7.03 (~always3(s216)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6314, 39549])).
% 9.54/7.03 tff(39552,plain,
% 9.54/7.03 (~node4(s216)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6318, 22, 39551])).
% 9.54/7.03 tff(39553,plain,
% 9.54/7.03 (~always3(s215)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[6331, 39551])).
% 9.54/7.03 tff(39554,plain,
% 9.54/7.03 (xuntil6(s215)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[10898, 39553, 6320])).
% 9.54/7.03 tff(39555,plain,
% 9.54/7.03 (until5(s216)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[10903, 39554])).
% 9.54/7.03 tff(39556,plain,
% 9.54/7.03 (xuntil6(s216) | node4(s216)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[10910, 36, 39555])).
% 9.54/7.03 tff(39557,plain,
% 9.54/7.03 (xuntil6(s216)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39556, 39552])).
% 9.54/7.03 tff(39558,plain,
% 9.54/7.03 (until5(s217)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[10916, 39557])).
% 9.54/7.03 tff(39559,plain,
% 9.54/7.03 (xuntil6(s217)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[10923, 36, 39558, 39550])).
% 9.54/7.03 tff(39560,plain,
% 9.54/7.03 (until5(s218)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[10928, 39559])).
% 9.54/7.03 tff(39561,plain,
% 9.54/7.03 (~node4(s218)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[10932, 22, 39548])).
% 9.54/7.03 tff(39562,plain,
% 9.54/7.03 (xuntil6(s218) | (~until5(s218))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[10939, 36, 39561])).
% 9.54/7.03 tff(39563,plain,
% 9.54/7.03 (xuntil6(s218)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39562, 39560])).
% 9.54/7.03 tff(39564,plain,
% 9.54/7.03 (until5(s219)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[10945, 39563])).
% 9.54/7.03 tff(39565,plain,
% 9.54/7.03 (~node4(s219)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[10949, 22, 39547])).
% 9.54/7.03 tff(39566,plain,
% 9.54/7.03 (xuntil6(s219) | (~until5(s219))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[10956, 36, 39565])).
% 9.54/7.03 tff(39567,plain,
% 9.54/7.03 (xuntil6(s219)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39566, 39564])).
% 9.54/7.03 tff(39568,plain,
% 9.54/7.03 (until5(s220)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[10962, 39567])).
% 9.54/7.03 tff(39569,plain,
% 9.54/7.03 (~node4(s220)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[10966, 22, 39546])).
% 9.54/7.03 tff(39570,plain,
% 9.54/7.03 (xuntil6(s220) | (~until5(s220))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[10973, 36, 39569])).
% 9.54/7.03 tff(39571,plain,
% 9.54/7.03 (xuntil6(s220)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39570, 39568])).
% 9.54/7.03 tff(39572,plain,
% 9.54/7.03 (until5(s221)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[10979, 39571])).
% 9.54/7.03 tff(39573,plain,
% 9.54/7.03 (~node4(s221)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[10983, 22, 39545])).
% 9.54/7.03 tff(39574,plain,
% 9.54/7.03 (xuntil6(s221) | (~until5(s221))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[10990, 36, 39573])).
% 9.54/7.03 tff(39575,plain,
% 9.54/7.03 (xuntil6(s221)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39574, 39572])).
% 9.54/7.03 tff(39576,plain,
% 9.54/7.03 (until5(s222)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[10996, 39575])).
% 9.54/7.03 tff(39577,plain,
% 9.54/7.03 (~node4(s222)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11000, 22, 39544])).
% 9.54/7.03 tff(39578,plain,
% 9.54/7.03 (xuntil6(s222) | (~until5(s222))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11007, 36, 39577])).
% 9.54/7.03 tff(39579,plain,
% 9.54/7.03 (xuntil6(s222)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39578, 39576])).
% 9.54/7.03 tff(39580,plain,
% 9.54/7.03 (until5(s223)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11013, 39579])).
% 9.54/7.03 tff(39581,plain,
% 9.54/7.03 (~node4(s223)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11017, 22, 39543])).
% 9.54/7.03 tff(39582,plain,
% 9.54/7.03 (xuntil6(s223) | (~until5(s223))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11024, 36, 39581])).
% 9.54/7.03 tff(39583,plain,
% 9.54/7.03 (xuntil6(s223)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39582, 39580])).
% 9.54/7.03 tff(39584,plain,
% 9.54/7.03 (until5(s224)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11030, 39583])).
% 9.54/7.03 tff(39585,plain,
% 9.54/7.03 (~node4(s224)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11034, 22, 39542])).
% 9.54/7.03 tff(39586,plain,
% 9.54/7.03 (xuntil6(s224) | (~until5(s224))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11041, 36, 39585])).
% 9.54/7.03 tff(39587,plain,
% 9.54/7.03 (xuntil6(s224)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39586, 39584])).
% 9.54/7.03 tff(39588,plain,
% 9.54/7.03 (until5(s225)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11047, 39587])).
% 9.54/7.03 tff(39589,plain,
% 9.54/7.03 (~node4(s225)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11051, 22, 39541])).
% 9.54/7.03 tff(39590,plain,
% 9.54/7.03 (xuntil6(s225) | (~until5(s225))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11058, 36, 39589])).
% 9.54/7.03 tff(39591,plain,
% 9.54/7.03 (xuntil6(s225)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39590, 39588])).
% 9.54/7.03 tff(39592,plain,
% 9.54/7.03 (until5(s226)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11064, 39591])).
% 9.54/7.03 tff(39593,plain,
% 9.54/7.03 (~node4(s226)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11068, 22, 39540])).
% 9.54/7.03 tff(39594,plain,
% 9.54/7.03 (xuntil6(s226) | (~until5(s226))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11075, 36, 39593])).
% 9.54/7.03 tff(39595,plain,
% 9.54/7.03 (xuntil6(s226)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39594, 39592])).
% 9.54/7.03 tff(39596,plain,
% 9.54/7.03 (until5(s227)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11081, 39595])).
% 9.54/7.03 tff(39597,plain,
% 9.54/7.03 (~node4(s227)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11085, 22, 39539])).
% 9.54/7.03 tff(39598,plain,
% 9.54/7.03 (xuntil6(s227) | (~until5(s227))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11092, 36, 39597])).
% 9.54/7.03 tff(39599,plain,
% 9.54/7.03 (xuntil6(s227)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39598, 39596])).
% 9.54/7.03 tff(39600,plain,
% 9.54/7.03 (until5(s228)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11098, 39599])).
% 9.54/7.03 tff(39601,plain,
% 9.54/7.03 (~node4(s228)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11102, 22, 39538])).
% 9.54/7.03 tff(39602,plain,
% 9.54/7.03 (xuntil6(s228) | (~until5(s228))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11109, 36, 39601])).
% 9.54/7.03 tff(39603,plain,
% 9.54/7.03 (xuntil6(s228)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39602, 39600])).
% 9.54/7.03 tff(39604,plain,
% 9.54/7.03 (until5(s229)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11115, 39603])).
% 9.54/7.03 tff(39605,plain,
% 9.54/7.03 (~node4(s229)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11119, 22, 39537])).
% 9.54/7.03 tff(39606,plain,
% 9.54/7.03 (xuntil6(s229) | (~until5(s229))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11126, 36, 39605])).
% 9.54/7.03 tff(39607,plain,
% 9.54/7.03 (xuntil6(s229)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39606, 39604])).
% 9.54/7.03 tff(39608,plain,
% 9.54/7.03 (until5(s230)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11132, 39607])).
% 9.54/7.03 tff(39609,plain,
% 9.54/7.03 (~node4(s230)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11136, 22, 39536])).
% 9.54/7.03 tff(39610,plain,
% 9.54/7.03 (xuntil6(s230) | (~until5(s230))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11143, 36, 39609])).
% 9.54/7.03 tff(39611,plain,
% 9.54/7.03 (xuntil6(s230)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39610, 39608])).
% 9.54/7.03 tff(39612,plain,
% 9.54/7.03 (until5(s231)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11149, 39611])).
% 9.54/7.03 tff(39613,plain,
% 9.54/7.03 (~node4(s231)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11153, 22, 39535])).
% 9.54/7.03 tff(39614,plain,
% 9.54/7.03 (xuntil6(s231) | (~until5(s231))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11160, 36, 39613])).
% 9.54/7.03 tff(39615,plain,
% 9.54/7.03 (xuntil6(s231)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39614, 39612])).
% 9.54/7.03 tff(39616,plain,
% 9.54/7.03 (until5(s232)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11166, 39615])).
% 9.54/7.03 tff(39617,plain,
% 9.54/7.03 (~node4(s232)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11170, 22, 39534])).
% 9.54/7.03 tff(39618,plain,
% 9.54/7.03 (xuntil6(s232) | (~until5(s232))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11177, 36, 39617])).
% 9.54/7.03 tff(39619,plain,
% 9.54/7.03 (xuntil6(s232)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39618, 39616])).
% 9.54/7.03 tff(39620,plain,
% 9.54/7.03 (until5(s233)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11183, 39619])).
% 9.54/7.03 tff(39621,plain,
% 9.54/7.03 (~node4(s233)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11187, 22, 39533])).
% 9.54/7.03 tff(39622,plain,
% 9.54/7.03 (xuntil6(s233) | (~until5(s233))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11194, 36, 39621])).
% 9.54/7.03 tff(39623,plain,
% 9.54/7.03 (xuntil6(s233)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39622, 39620])).
% 9.54/7.03 tff(39624,plain,
% 9.54/7.03 (until5(s234)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11200, 39623])).
% 9.54/7.03 tff(39625,plain,
% 9.54/7.03 (~node4(s234)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11204, 22, 39532])).
% 9.54/7.03 tff(39626,plain,
% 9.54/7.03 (xuntil6(s234) | (~until5(s234))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11211, 36, 39625])).
% 9.54/7.03 tff(39627,plain,
% 9.54/7.03 (xuntil6(s234)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39626, 39624])).
% 9.54/7.03 tff(39628,plain,
% 9.54/7.03 (until5(s235)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11217, 39627])).
% 9.54/7.03 tff(39629,plain,
% 9.54/7.03 (~node4(s235)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11221, 22, 39531])).
% 9.54/7.03 tff(39630,plain,
% 9.54/7.03 (xuntil6(s235) | (~until5(s235))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11228, 36, 39629])).
% 9.54/7.03 tff(39631,plain,
% 9.54/7.03 (xuntil6(s235)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39630, 39628])).
% 9.54/7.03 tff(39632,plain,
% 9.54/7.03 (until5(s236)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11234, 39631])).
% 9.54/7.03 tff(39633,plain,
% 9.54/7.03 (~node4(s236)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11238, 22, 39530])).
% 9.54/7.03 tff(39634,plain,
% 9.54/7.03 (xuntil6(s236) | (~until5(s236))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11245, 36, 39633])).
% 9.54/7.03 tff(39635,plain,
% 9.54/7.03 (xuntil6(s236)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39634, 39632])).
% 9.54/7.03 tff(39636,plain,
% 9.54/7.03 (until5(s237)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11251, 39635])).
% 9.54/7.03 tff(39637,plain,
% 9.54/7.03 (~node4(s237)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11255, 22, 39529])).
% 9.54/7.03 tff(39638,plain,
% 9.54/7.03 (xuntil6(s237) | (~until5(s237))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11262, 36, 39637])).
% 9.54/7.03 tff(39639,plain,
% 9.54/7.03 (xuntil6(s237)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39638, 39636])).
% 9.54/7.03 tff(39640,plain,
% 9.54/7.03 (until5(s238)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11268, 39639])).
% 9.54/7.03 tff(39641,plain,
% 9.54/7.03 (~node4(s238)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11272, 22, 39528])).
% 9.54/7.03 tff(39642,plain,
% 9.54/7.03 (xuntil6(s238) | (~until5(s238))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11279, 36, 39641])).
% 9.54/7.03 tff(39643,plain,
% 9.54/7.03 (xuntil6(s238)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39642, 39640])).
% 9.54/7.03 tff(39644,plain,
% 9.54/7.03 (until5(s239)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11285, 39643])).
% 9.54/7.03 tff(39645,plain,
% 9.54/7.03 (~node4(s239)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11289, 22, 39527])).
% 9.54/7.03 tff(39646,plain,
% 9.54/7.03 (xuntil6(s239) | (~until5(s239))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11296, 36, 39645])).
% 9.54/7.03 tff(39647,plain,
% 9.54/7.03 (xuntil6(s239)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39646, 39644])).
% 9.54/7.03 tff(39648,plain,
% 9.54/7.03 (until5(s240)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11302, 39647])).
% 9.54/7.03 tff(39649,plain,
% 9.54/7.03 (~node4(s240)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11306, 22, 39526])).
% 9.54/7.03 tff(39650,plain,
% 9.54/7.03 (xuntil6(s240) | (~until5(s240))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11313, 36, 39649])).
% 9.54/7.03 tff(39651,plain,
% 9.54/7.03 (xuntil6(s240)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39650, 39648])).
% 9.54/7.03 tff(39652,plain,
% 9.54/7.03 (until5(s241)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11319, 39651])).
% 9.54/7.03 tff(39653,plain,
% 9.54/7.03 (~node4(s241)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11323, 22, 39525])).
% 9.54/7.03 tff(39654,plain,
% 9.54/7.03 (xuntil6(s241) | (~until5(s241))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11330, 36, 39653])).
% 9.54/7.03 tff(39655,plain,
% 9.54/7.03 (xuntil6(s241)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39654, 39652])).
% 9.54/7.03 tff(39656,plain,
% 9.54/7.03 (until5(s242)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11336, 39655])).
% 9.54/7.03 tff(39657,plain,
% 9.54/7.03 (~node4(s242)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11340, 22, 39524])).
% 9.54/7.03 tff(39658,plain,
% 9.54/7.03 (xuntil6(s242) | (~until5(s242))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11347, 36, 39657])).
% 9.54/7.03 tff(39659,plain,
% 9.54/7.03 (xuntil6(s242)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39658, 39656])).
% 9.54/7.03 tff(39660,plain,
% 9.54/7.03 (until5(s243)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11353, 39659])).
% 9.54/7.03 tff(39661,plain,
% 9.54/7.03 (~node4(s243)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11357, 22, 39523])).
% 9.54/7.03 tff(39662,plain,
% 9.54/7.03 (xuntil6(s243) | (~until5(s243))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11364, 36, 39661])).
% 9.54/7.03 tff(39663,plain,
% 9.54/7.03 (xuntil6(s243)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39662, 39660])).
% 9.54/7.03 tff(39664,plain,
% 9.54/7.03 (until5(s244)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11370, 39663])).
% 9.54/7.03 tff(39665,plain,
% 9.54/7.03 (~node4(s244)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11374, 22, 39522])).
% 9.54/7.03 tff(39666,plain,
% 9.54/7.03 (xuntil6(s244) | (~until5(s244))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11381, 36, 39665])).
% 9.54/7.03 tff(39667,plain,
% 9.54/7.03 (xuntil6(s244)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39666, 39664])).
% 9.54/7.03 tff(39668,plain,
% 9.54/7.03 (until5(s245)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11387, 39667])).
% 9.54/7.03 tff(39669,plain,
% 9.54/7.03 (~node4(s245)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11391, 22, 39521])).
% 9.54/7.03 tff(39670,plain,
% 9.54/7.03 (xuntil6(s245) | (~until5(s245))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11398, 36, 39669])).
% 9.54/7.03 tff(39671,plain,
% 9.54/7.03 (xuntil6(s245)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39670, 39668])).
% 9.54/7.03 tff(39672,plain,
% 9.54/7.03 (until5(s246)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11404, 39671])).
% 9.54/7.03 tff(39673,plain,
% 9.54/7.03 (~node4(s246)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11408, 22, 39520])).
% 9.54/7.03 tff(39674,plain,
% 9.54/7.03 (xuntil6(s246) | (~until5(s246))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11415, 36, 39673])).
% 9.54/7.03 tff(39675,plain,
% 9.54/7.03 (xuntil6(s246)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39674, 39672])).
% 9.54/7.03 tff(39676,plain,
% 9.54/7.03 (until5(s247)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11421, 39675])).
% 9.54/7.03 tff(39677,plain,
% 9.54/7.03 (~node4(s247)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11425, 22, 39519])).
% 9.54/7.03 tff(39678,plain,
% 9.54/7.03 (xuntil6(s247) | (~until5(s247))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11432, 36, 39677])).
% 9.54/7.03 tff(39679,plain,
% 9.54/7.03 (xuntil6(s247)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39678, 39676])).
% 9.54/7.03 tff(39680,plain,
% 9.54/7.03 (until5(s248)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11438, 39679])).
% 9.54/7.03 tff(39681,plain,
% 9.54/7.03 (~node4(s248)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11442, 22, 39518])).
% 9.54/7.03 tff(39682,plain,
% 9.54/7.03 (xuntil6(s248) | (~until5(s248))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11449, 36, 39681])).
% 9.54/7.03 tff(39683,plain,
% 9.54/7.03 (xuntil6(s248)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39682, 39680])).
% 9.54/7.03 tff(39684,plain,
% 9.54/7.03 (until5(s249)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11455, 39683])).
% 9.54/7.03 tff(39685,plain,
% 9.54/7.03 (~node4(s249)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11459, 22, 39517])).
% 9.54/7.03 tff(39686,plain,
% 9.54/7.03 (xuntil6(s249) | (~until5(s249))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11466, 36, 39685])).
% 9.54/7.03 tff(39687,plain,
% 9.54/7.03 (xuntil6(s249)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39686, 39684])).
% 9.54/7.03 tff(39688,plain,
% 9.54/7.03 (until5(s250)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11472, 39687])).
% 9.54/7.03 tff(39689,plain,
% 9.54/7.03 (~node4(s250)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11476, 22, 39516])).
% 9.54/7.03 tff(39690,plain,
% 9.54/7.03 (xuntil6(s250) | (~until5(s250))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11483, 36, 39689])).
% 9.54/7.03 tff(39691,plain,
% 9.54/7.03 (xuntil6(s250)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39690, 39688])).
% 9.54/7.03 tff(39692,plain,
% 9.54/7.03 (until5(s251)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11489, 39691])).
% 9.54/7.03 tff(39693,plain,
% 9.54/7.03 (~node4(s251)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11493, 22, 39515])).
% 9.54/7.03 tff(39694,plain,
% 9.54/7.03 (xuntil6(s251) | (~until5(s251))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11500, 36, 39693])).
% 9.54/7.03 tff(39695,plain,
% 9.54/7.03 (xuntil6(s251)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39694, 39692])).
% 9.54/7.03 tff(39696,plain,
% 9.54/7.03 (until5(s252)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11506, 39695])).
% 9.54/7.03 tff(39697,plain,
% 9.54/7.03 (~node4(s252)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11510, 22, 39514])).
% 9.54/7.03 tff(39698,plain,
% 9.54/7.03 (xuntil6(s252) | (~until5(s252))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11517, 36, 39697])).
% 9.54/7.03 tff(39699,plain,
% 9.54/7.03 (xuntil6(s252)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39698, 39696])).
% 9.54/7.03 tff(39700,plain,
% 9.54/7.03 (until5(s253)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11523, 39699])).
% 9.54/7.03 tff(39701,plain,
% 9.54/7.03 (xuntil6(s253)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11532, 39700])).
% 9.54/7.03 tff(39702,plain,
% 9.54/7.03 (until5(s254)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11537, 39701])).
% 9.54/7.03 tff(39703,plain,
% 9.54/7.03 (~node4(s254)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11541, 22, 39512])).
% 9.54/7.03 tff(39704,plain,
% 9.54/7.03 (xuntil6(s254) | (~until5(s254))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11548, 36, 39703])).
% 9.54/7.03 tff(39705,plain,
% 9.54/7.03 (xuntil6(s254)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39704, 39702])).
% 9.54/7.03 tff(39706,plain,
% 9.54/7.03 (until5(s255)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11554, 39705])).
% 9.54/7.03 tff(39707,plain,
% 9.54/7.03 (~node4(s255)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11558, 22, 39511])).
% 9.54/7.03 tff(39708,plain,
% 9.54/7.03 (xuntil6(s255) | (~until5(s255))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11565, 36, 39707])).
% 9.54/7.03 tff(39709,plain,
% 9.54/7.03 (xuntil6(s255)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39708, 39706])).
% 9.54/7.03 tff(39710,plain,
% 9.54/7.03 (until5(s256)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11571, 39709])).
% 9.54/7.03 tff(39711,plain,
% 9.54/7.03 (~node4(s256)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11575, 22, 39510])).
% 9.54/7.03 tff(39712,plain,
% 9.54/7.03 (xuntil6(s256) | (~until5(s256))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11582, 36, 39711])).
% 9.54/7.03 tff(39713,plain,
% 9.54/7.03 (xuntil6(s256)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39712, 39710])).
% 9.54/7.03 tff(39714,plain,
% 9.54/7.03 (until5(s257)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11588, 39713])).
% 9.54/7.03 tff(39715,plain,
% 9.54/7.03 (~node4(s257)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11592, 22, 39509])).
% 9.54/7.03 tff(39716,plain,
% 9.54/7.03 (xuntil6(s257) | (~until5(s257))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11599, 36, 39715])).
% 9.54/7.03 tff(39717,plain,
% 9.54/7.03 (xuntil6(s257)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39716, 39714])).
% 9.54/7.03 tff(39718,plain,
% 9.54/7.03 (until5(s258)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11605, 39717])).
% 9.54/7.03 tff(39719,plain,
% 9.54/7.03 (~node4(s258)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11609, 22, 39508])).
% 9.54/7.03 tff(39720,plain,
% 9.54/7.03 (xuntil6(s258) | (~until5(s258))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11616, 36, 39719])).
% 9.54/7.03 tff(39721,plain,
% 9.54/7.03 (xuntil6(s258)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39720, 39718])).
% 9.54/7.03 tff(39722,plain,
% 9.54/7.03 (until5(s259)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11622, 39721])).
% 9.54/7.03 tff(39723,plain,
% 9.54/7.03 (~node4(s259)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11626, 22, 39507])).
% 9.54/7.03 tff(39724,plain,
% 9.54/7.03 (xuntil6(s259) | (~until5(s259))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11633, 36, 39723])).
% 9.54/7.03 tff(39725,plain,
% 9.54/7.03 (xuntil6(s259)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39724, 39722])).
% 9.54/7.03 tff(39726,plain,
% 9.54/7.03 (until5(s260)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11639, 39725])).
% 9.54/7.03 tff(39727,plain,
% 9.54/7.03 (~node4(s260)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11643, 22, 39506])).
% 9.54/7.03 tff(39728,plain,
% 9.54/7.03 (xuntil6(s260) | (~until5(s260))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11650, 36, 39727])).
% 9.54/7.03 tff(39729,plain,
% 9.54/7.03 (xuntil6(s260)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39728, 39726])).
% 9.54/7.03 tff(39730,plain,
% 9.54/7.03 (until5(s261)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11656, 39729])).
% 9.54/7.03 tff(39731,plain,
% 9.54/7.03 (~node4(s261)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11660, 22, 39505])).
% 9.54/7.03 tff(39732,plain,
% 9.54/7.03 (xuntil6(s261) | (~until5(s261))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11667, 36, 39731])).
% 9.54/7.03 tff(39733,plain,
% 9.54/7.03 (xuntil6(s261)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39732, 39730])).
% 9.54/7.03 tff(39734,plain,
% 9.54/7.03 (until5(s262)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11673, 39733])).
% 9.54/7.03 tff(39735,plain,
% 9.54/7.03 (~node4(s262)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11677, 22, 39504])).
% 9.54/7.03 tff(39736,plain,
% 9.54/7.03 (xuntil6(s262) | (~until5(s262))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11684, 36, 39735])).
% 9.54/7.03 tff(39737,plain,
% 9.54/7.03 (xuntil6(s262)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39736, 39734])).
% 9.54/7.03 tff(39738,plain,
% 9.54/7.03 (until5(s263)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11690, 39737])).
% 9.54/7.03 tff(39739,plain,
% 9.54/7.03 (~node4(s263)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11694, 22, 39503])).
% 9.54/7.03 tff(39740,plain,
% 9.54/7.03 (xuntil6(s263) | (~until5(s263))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11701, 36, 39739])).
% 9.54/7.03 tff(39741,plain,
% 9.54/7.03 (xuntil6(s263)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39740, 39738])).
% 9.54/7.03 tff(39742,plain,
% 9.54/7.03 (until5(s264)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11707, 39741])).
% 9.54/7.03 tff(39743,plain,
% 9.54/7.03 (~node4(s264)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11711, 22, 39502])).
% 9.54/7.03 tff(39744,plain,
% 9.54/7.03 (xuntil6(s264) | (~until5(s264))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11718, 36, 39743])).
% 9.54/7.03 tff(39745,plain,
% 9.54/7.03 (xuntil6(s264)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39744, 39742])).
% 9.54/7.03 tff(39746,plain,
% 9.54/7.03 (until5(s265)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11724, 39745])).
% 9.54/7.03 tff(39747,plain,
% 9.54/7.03 (~node4(s265)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11728, 22, 39501])).
% 9.54/7.03 tff(39748,plain,
% 9.54/7.03 (xuntil6(s265) | (~until5(s265))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11735, 36, 39747])).
% 9.54/7.03 tff(39749,plain,
% 9.54/7.03 (xuntil6(s265)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39748, 39746])).
% 9.54/7.03 tff(39750,plain,
% 9.54/7.03 (until5(s266)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11741, 39749])).
% 9.54/7.03 tff(39751,plain,
% 9.54/7.03 (~node4(s266)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11745, 22, 39500])).
% 9.54/7.03 tff(39752,plain,
% 9.54/7.03 (xuntil6(s266) | (~until5(s266))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11752, 36, 39751])).
% 9.54/7.03 tff(39753,plain,
% 9.54/7.03 (xuntil6(s266)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39752, 39750])).
% 9.54/7.03 tff(39754,plain,
% 9.54/7.03 (until5(s267)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11758, 39753])).
% 9.54/7.03 tff(39755,plain,
% 9.54/7.03 (~node4(s267)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11762, 22, 39499])).
% 9.54/7.03 tff(39756,plain,
% 9.54/7.03 (xuntil6(s267) | (~until5(s267))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11769, 36, 39755])).
% 9.54/7.03 tff(39757,plain,
% 9.54/7.03 (xuntil6(s267)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39756, 39754])).
% 9.54/7.03 tff(39758,plain,
% 9.54/7.03 (until5(s268)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11775, 39757])).
% 9.54/7.03 tff(39759,plain,
% 9.54/7.03 (~node4(s268)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11779, 22, 39498])).
% 9.54/7.03 tff(39760,plain,
% 9.54/7.03 (xuntil6(s268) | (~until5(s268))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11786, 36, 39759])).
% 9.54/7.03 tff(39761,plain,
% 9.54/7.03 (xuntil6(s268)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39760, 39758])).
% 9.54/7.03 tff(39762,plain,
% 9.54/7.03 (until5(s269)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11792, 39761])).
% 9.54/7.03 tff(39763,plain,
% 9.54/7.03 (~node4(s269)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11796, 22, 39497])).
% 9.54/7.03 tff(39764,plain,
% 9.54/7.03 (xuntil6(s269) | (~until5(s269))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11803, 36, 39763])).
% 9.54/7.03 tff(39765,plain,
% 9.54/7.03 (xuntil6(s269)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39764, 39762])).
% 9.54/7.03 tff(39766,plain,
% 9.54/7.03 (until5(s270)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11809, 39765])).
% 9.54/7.03 tff(39767,plain,
% 9.54/7.03 (~node4(s270)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11813, 22, 39496])).
% 9.54/7.03 tff(39768,plain,
% 9.54/7.03 (xuntil6(s270) | (~until5(s270))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11820, 36, 39767])).
% 9.54/7.03 tff(39769,plain,
% 9.54/7.03 (xuntil6(s270)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39768, 39766])).
% 9.54/7.03 tff(39770,plain,
% 9.54/7.03 (until5(s271)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11826, 39769])).
% 9.54/7.03 tff(39771,plain,
% 9.54/7.03 (~node4(s271)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11830, 22, 39495])).
% 9.54/7.03 tff(39772,plain,
% 9.54/7.03 (xuntil6(s271) | (~until5(s271))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11837, 36, 39771])).
% 9.54/7.03 tff(39773,plain,
% 9.54/7.03 (xuntil6(s271)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39772, 39770])).
% 9.54/7.03 tff(39774,plain,
% 9.54/7.03 (until5(s272)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11843, 39773])).
% 9.54/7.03 tff(39775,plain,
% 9.54/7.03 (~node4(s272)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11847, 22, 39494])).
% 9.54/7.03 tff(39776,plain,
% 9.54/7.03 (xuntil6(s272) | (~until5(s272))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11854, 36, 39775])).
% 9.54/7.03 tff(39777,plain,
% 9.54/7.03 (xuntil6(s272)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39776, 39774])).
% 9.54/7.03 tff(39778,plain,
% 9.54/7.03 (until5(s273)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11860, 39777])).
% 9.54/7.03 tff(39779,plain,
% 9.54/7.03 (~node4(s273)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11864, 22, 39493])).
% 9.54/7.03 tff(39780,plain,
% 9.54/7.03 (xuntil6(s273) | (~until5(s273))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11871, 36, 39779])).
% 9.54/7.03 tff(39781,plain,
% 9.54/7.03 (xuntil6(s273)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39780, 39778])).
% 9.54/7.03 tff(39782,plain,
% 9.54/7.03 (until5(s274)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11877, 39781])).
% 9.54/7.03 tff(39783,plain,
% 9.54/7.03 (~node4(s274)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11881, 22, 39492])).
% 9.54/7.03 tff(39784,plain,
% 9.54/7.03 (xuntil6(s274) | (~until5(s274))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11888, 36, 39783])).
% 9.54/7.03 tff(39785,plain,
% 9.54/7.03 (xuntil6(s274)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39784, 39782])).
% 9.54/7.03 tff(39786,plain,
% 9.54/7.03 (until5(s275)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11894, 39785])).
% 9.54/7.03 tff(39787,plain,
% 9.54/7.03 (~node4(s275)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11898, 22, 39491])).
% 9.54/7.03 tff(39788,plain,
% 9.54/7.03 (xuntil6(s275) | (~until5(s275))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11905, 36, 39787])).
% 9.54/7.03 tff(39789,plain,
% 9.54/7.03 (xuntil6(s275)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39788, 39786])).
% 9.54/7.03 tff(39790,plain,
% 9.54/7.03 (until5(s276)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11911, 39789])).
% 9.54/7.03 tff(39791,plain,
% 9.54/7.03 (~node4(s276)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11915, 22, 39490])).
% 9.54/7.03 tff(39792,plain,
% 9.54/7.03 (xuntil6(s276) | (~until5(s276))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11922, 36, 39791])).
% 9.54/7.03 tff(39793,plain,
% 9.54/7.03 (xuntil6(s276)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39792, 39790])).
% 9.54/7.03 tff(39794,plain,
% 9.54/7.03 (until5(s277)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11928, 39793])).
% 9.54/7.03 tff(39795,plain,
% 9.54/7.03 (~node4(s277)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11932, 22, 39489])).
% 9.54/7.03 tff(39796,plain,
% 9.54/7.03 (xuntil6(s277) | (~until5(s277))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11939, 36, 39795])).
% 9.54/7.03 tff(39797,plain,
% 9.54/7.03 (xuntil6(s277)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39796, 39794])).
% 9.54/7.03 tff(39798,plain,
% 9.54/7.03 (until5(s278)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11945, 39797])).
% 9.54/7.03 tff(39799,plain,
% 9.54/7.03 (~node4(s278)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11949, 22, 39488])).
% 9.54/7.03 tff(39800,plain,
% 9.54/7.03 (xuntil6(s278) | (~until5(s278))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11956, 36, 39799])).
% 9.54/7.03 tff(39801,plain,
% 9.54/7.03 (xuntil6(s278)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39800, 39798])).
% 9.54/7.03 tff(39802,plain,
% 9.54/7.03 (until5(s279)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11962, 39801])).
% 9.54/7.03 tff(39803,plain,
% 9.54/7.03 (~node4(s279)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11966, 22, 39487])).
% 9.54/7.03 tff(39804,plain,
% 9.54/7.03 (xuntil6(s279) | (~until5(s279))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11973, 36, 39803])).
% 9.54/7.03 tff(39805,plain,
% 9.54/7.03 (xuntil6(s279)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39804, 39802])).
% 9.54/7.03 tff(39806,plain,
% 9.54/7.03 (until5(s280)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11979, 39805])).
% 9.54/7.03 tff(39807,plain,
% 9.54/7.03 (~node4(s280)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11983, 22, 39486])).
% 9.54/7.03 tff(39808,plain,
% 9.54/7.03 (xuntil6(s280) | (~until5(s280))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11990, 36, 39807])).
% 9.54/7.03 tff(39809,plain,
% 9.54/7.03 (xuntil6(s280)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39808, 39806])).
% 9.54/7.03 tff(39810,plain,
% 9.54/7.03 (until5(s281)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[11996, 39809])).
% 9.54/7.03 tff(39811,plain,
% 9.54/7.03 (~node4(s281)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12000, 22, 39485])).
% 9.54/7.03 tff(39812,plain,
% 9.54/7.03 (xuntil6(s281) | (~until5(s281))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12007, 36, 39811])).
% 9.54/7.03 tff(39813,plain,
% 9.54/7.03 (xuntil6(s281)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39812, 39810])).
% 9.54/7.03 tff(39814,plain,
% 9.54/7.03 (until5(s282)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12013, 39813])).
% 9.54/7.03 tff(39815,plain,
% 9.54/7.03 (~node4(s282)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12017, 22, 39484])).
% 9.54/7.03 tff(39816,plain,
% 9.54/7.03 (xuntil6(s282) | (~until5(s282))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12024, 36, 39815])).
% 9.54/7.03 tff(39817,plain,
% 9.54/7.03 (xuntil6(s282)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39816, 39814])).
% 9.54/7.03 tff(39818,plain,
% 9.54/7.03 (until5(s283)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12030, 39817])).
% 9.54/7.03 tff(39819,plain,
% 9.54/7.03 (~node4(s283)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12034, 22, 39483])).
% 9.54/7.03 tff(39820,plain,
% 9.54/7.03 (xuntil6(s283) | (~until5(s283))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12041, 36, 39819])).
% 9.54/7.03 tff(39821,plain,
% 9.54/7.03 (xuntil6(s283)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39820, 39818])).
% 9.54/7.03 tff(39822,plain,
% 9.54/7.03 (until5(s284)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12047, 39821])).
% 9.54/7.03 tff(39823,plain,
% 9.54/7.03 (~node4(s284)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12051, 22, 39482])).
% 9.54/7.03 tff(39824,plain,
% 9.54/7.03 (xuntil6(s284) | (~until5(s284))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12058, 36, 39823])).
% 9.54/7.03 tff(39825,plain,
% 9.54/7.03 (xuntil6(s284)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39824, 39822])).
% 9.54/7.03 tff(39826,plain,
% 9.54/7.03 (until5(s285)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12064, 39825])).
% 9.54/7.03 tff(39827,plain,
% 9.54/7.03 (~node4(s285)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12068, 22, 39481])).
% 9.54/7.03 tff(39828,plain,
% 9.54/7.03 (xuntil6(s285) | (~until5(s285))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12075, 36, 39827])).
% 9.54/7.03 tff(39829,plain,
% 9.54/7.03 (xuntil6(s285)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39828, 39826])).
% 9.54/7.03 tff(39830,plain,
% 9.54/7.03 (until5(s286)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12081, 39829])).
% 9.54/7.03 tff(39831,plain,
% 9.54/7.03 (~node4(s286)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12085, 22, 39480])).
% 9.54/7.03 tff(39832,plain,
% 9.54/7.03 (xuntil6(s286) | (~until5(s286))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12092, 36, 39831])).
% 9.54/7.03 tff(39833,plain,
% 9.54/7.03 (xuntil6(s286)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39832, 39830])).
% 9.54/7.03 tff(39834,plain,
% 9.54/7.03 (until5(s287)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12098, 39833])).
% 9.54/7.03 tff(39835,plain,
% 9.54/7.03 (~node4(s287)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12102, 22, 39479])).
% 9.54/7.03 tff(39836,plain,
% 9.54/7.03 (xuntil6(s287) | (~until5(s287))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12109, 36, 39835])).
% 9.54/7.03 tff(39837,plain,
% 9.54/7.03 (xuntil6(s287)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39836, 39834])).
% 9.54/7.03 tff(39838,plain,
% 9.54/7.03 (until5(s288)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12115, 39837])).
% 9.54/7.03 tff(39839,plain,
% 9.54/7.03 (~node4(s288)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12119, 22, 39478])).
% 9.54/7.03 tff(39840,plain,
% 9.54/7.03 (xuntil6(s288) | (~until5(s288))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12126, 36, 39839])).
% 9.54/7.03 tff(39841,plain,
% 9.54/7.03 (xuntil6(s288)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39840, 39838])).
% 9.54/7.03 tff(39842,plain,
% 9.54/7.03 (until5(s289)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12132, 39841])).
% 9.54/7.03 tff(39843,plain,
% 9.54/7.03 (~node4(s289)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12136, 22, 39477])).
% 9.54/7.03 tff(39844,plain,
% 9.54/7.03 (xuntil6(s289) | (~until5(s289))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12143, 36, 39843])).
% 9.54/7.03 tff(39845,plain,
% 9.54/7.03 (xuntil6(s289)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39844, 39842])).
% 9.54/7.03 tff(39846,plain,
% 9.54/7.03 (until5(s290)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12149, 39845])).
% 9.54/7.03 tff(39847,plain,
% 9.54/7.03 (~node4(s290)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12153, 22, 39476])).
% 9.54/7.03 tff(39848,plain,
% 9.54/7.03 (xuntil6(s290) | (~until5(s290))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12160, 36, 39847])).
% 9.54/7.03 tff(39849,plain,
% 9.54/7.03 (xuntil6(s290)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39848, 39846])).
% 9.54/7.03 tff(39850,plain,
% 9.54/7.03 (until5(s291)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12166, 39849])).
% 9.54/7.03 tff(39851,plain,
% 9.54/7.03 (~node4(s291)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12170, 22, 39475])).
% 9.54/7.03 tff(39852,plain,
% 9.54/7.03 (xuntil6(s291) | (~until5(s291))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12177, 36, 39851])).
% 9.54/7.03 tff(39853,plain,
% 9.54/7.03 (xuntil6(s291)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39852, 39850])).
% 9.54/7.03 tff(39854,plain,
% 9.54/7.03 (until5(s292)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12183, 39853])).
% 9.54/7.03 tff(39855,plain,
% 9.54/7.03 (~node4(s292)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12187, 22, 39474])).
% 9.54/7.03 tff(39856,plain,
% 9.54/7.03 (xuntil6(s292) | (~until5(s292))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12194, 36, 39855])).
% 9.54/7.03 tff(39857,plain,
% 9.54/7.03 (xuntil6(s292)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39856, 39854])).
% 9.54/7.03 tff(39858,plain,
% 9.54/7.03 (until5(s293)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12200, 39857])).
% 9.54/7.03 tff(39859,plain,
% 9.54/7.03 (~node4(s293)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12204, 22, 39473])).
% 9.54/7.03 tff(39860,plain,
% 9.54/7.03 (xuntil6(s293) | (~until5(s293))),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[12211, 36, 39859])).
% 9.54/7.03 tff(39861,plain,
% 9.54/7.03 (xuntil6(s293)),
% 9.54/7.03 inference(unit_resolution,[status(thm)],[39860, 39858])).
% 9.54/7.04 tff(39862,plain,
% 9.54/7.04 (until5(s294)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12217, 39861])).
% 9.54/7.04 tff(39863,plain,
% 9.54/7.04 (~node4(s294)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12221, 22, 39472])).
% 9.54/7.04 tff(39864,plain,
% 9.54/7.04 (xuntil6(s294) | (~until5(s294))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12228, 36, 39863])).
% 9.54/7.04 tff(39865,plain,
% 9.54/7.04 (xuntil6(s294)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39864, 39862])).
% 9.54/7.04 tff(39866,plain,
% 9.54/7.04 (until5(s295)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12234, 39865])).
% 9.54/7.04 tff(39867,plain,
% 9.54/7.04 (~node4(s295)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12238, 22, 39471])).
% 9.54/7.04 tff(39868,plain,
% 9.54/7.04 (xuntil6(s295) | (~until5(s295))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12245, 36, 39867])).
% 9.54/7.04 tff(39869,plain,
% 9.54/7.04 (xuntil6(s295)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39868, 39866])).
% 9.54/7.04 tff(39870,plain,
% 9.54/7.04 (until5(s296)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12251, 39869])).
% 9.54/7.04 tff(39871,plain,
% 9.54/7.04 (~node4(s296)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12255, 22, 39470])).
% 9.54/7.04 tff(39872,plain,
% 9.54/7.04 (xuntil6(s296) | (~until5(s296))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12262, 36, 39871])).
% 9.54/7.04 tff(39873,plain,
% 9.54/7.04 (xuntil6(s296)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39872, 39870])).
% 9.54/7.04 tff(39874,plain,
% 9.54/7.04 (until5(s297)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12268, 39873])).
% 9.54/7.04 tff(39875,plain,
% 9.54/7.04 (~node4(s297)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12272, 22, 39469])).
% 9.54/7.04 tff(39876,plain,
% 9.54/7.04 (xuntil6(s297) | (~until5(s297))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12279, 36, 39875])).
% 9.54/7.04 tff(39877,plain,
% 9.54/7.04 (xuntil6(s297)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39876, 39874])).
% 9.54/7.04 tff(39878,plain,
% 9.54/7.04 (until5(s298)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12285, 39877])).
% 9.54/7.04 tff(39879,plain,
% 9.54/7.04 (~node4(s298)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12289, 22, 39468])).
% 9.54/7.04 tff(39880,plain,
% 9.54/7.04 (xuntil6(s298) | (~until5(s298))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12296, 36, 39879])).
% 9.54/7.04 tff(39881,plain,
% 9.54/7.04 (xuntil6(s298)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39880, 39878])).
% 9.54/7.04 tff(39882,plain,
% 9.54/7.04 (until5(s299)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12302, 39881])).
% 9.54/7.04 tff(39883,plain,
% 9.54/7.04 (~node4(s299)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12306, 22, 39467])).
% 9.54/7.04 tff(39884,plain,
% 9.54/7.04 (xuntil6(s299) | (~until5(s299))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12313, 36, 39883])).
% 9.54/7.04 tff(39885,plain,
% 9.54/7.04 (xuntil6(s299)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39884, 39882])).
% 9.54/7.04 tff(39886,plain,
% 9.54/7.04 (until5(s300)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12319, 39885])).
% 9.54/7.04 tff(39887,plain,
% 9.54/7.04 (~node4(s300)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12323, 22, 39466])).
% 9.54/7.04 tff(39888,plain,
% 9.54/7.04 (xuntil6(s300) | (~until5(s300))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12330, 36, 39887])).
% 9.54/7.04 tff(39889,plain,
% 9.54/7.04 (xuntil6(s300)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39888, 39886])).
% 9.54/7.04 tff(39890,plain,
% 9.54/7.04 (until5(s301)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12336, 39889])).
% 9.54/7.04 tff(39891,plain,
% 9.54/7.04 (~node4(s301)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12340, 22, 39465])).
% 9.54/7.04 tff(39892,plain,
% 9.54/7.04 (xuntil6(s301) | (~until5(s301))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12347, 36, 39891])).
% 9.54/7.04 tff(39893,plain,
% 9.54/7.04 (xuntil6(s301)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39892, 39890])).
% 9.54/7.04 tff(39894,plain,
% 9.54/7.04 (until5(s302)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12353, 39893])).
% 9.54/7.04 tff(39895,plain,
% 9.54/7.04 (~node4(s302)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12357, 22, 39464])).
% 9.54/7.04 tff(39896,plain,
% 9.54/7.04 (xuntil6(s302) | (~until5(s302))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12364, 36, 39895])).
% 9.54/7.04 tff(39897,plain,
% 9.54/7.04 (xuntil6(s302)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39896, 39894])).
% 9.54/7.04 tff(39898,plain,
% 9.54/7.04 (until5(s303)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12370, 39897])).
% 9.54/7.04 tff(39899,plain,
% 9.54/7.04 (~node4(s303)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12374, 22, 39463])).
% 9.54/7.04 tff(39900,plain,
% 9.54/7.04 (xuntil6(s303) | (~until5(s303))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12381, 36, 39899])).
% 9.54/7.04 tff(39901,plain,
% 9.54/7.04 (xuntil6(s303)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39900, 39898])).
% 9.54/7.04 tff(39902,plain,
% 9.54/7.04 (until5(s304)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12387, 39901])).
% 9.54/7.04 tff(39903,plain,
% 9.54/7.04 (~node4(s304)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12391, 22, 39462])).
% 9.54/7.04 tff(39904,plain,
% 9.54/7.04 (xuntil6(s304) | (~until5(s304))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12398, 36, 39903])).
% 9.54/7.04 tff(39905,plain,
% 9.54/7.04 (xuntil6(s304)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39904, 39902])).
% 9.54/7.04 tff(39906,plain,
% 9.54/7.04 (until5(s305)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12404, 39905])).
% 9.54/7.04 tff(39907,plain,
% 9.54/7.04 (~node4(s305)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12408, 22, 39461])).
% 9.54/7.04 tff(39908,plain,
% 9.54/7.04 (xuntil6(s305) | (~until5(s305))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12415, 36, 39907])).
% 9.54/7.04 tff(39909,plain,
% 9.54/7.04 (xuntil6(s305)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39908, 39906])).
% 9.54/7.04 tff(39910,plain,
% 9.54/7.04 (until5(s306)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12421, 39909])).
% 9.54/7.04 tff(39911,plain,
% 9.54/7.04 (~node4(s306)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12425, 22, 39460])).
% 9.54/7.04 tff(39912,plain,
% 9.54/7.04 (xuntil6(s306) | (~until5(s306))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12432, 36, 39911])).
% 9.54/7.04 tff(39913,plain,
% 9.54/7.04 (xuntil6(s306)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39912, 39910])).
% 9.54/7.04 tff(39914,plain,
% 9.54/7.04 (until5(s307)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12438, 39913])).
% 9.54/7.04 tff(39915,plain,
% 9.54/7.04 (~node4(s307)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12442, 22, 39459])).
% 9.54/7.04 tff(39916,plain,
% 9.54/7.04 (xuntil6(s307) | (~until5(s307))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12449, 36, 39915])).
% 9.54/7.04 tff(39917,plain,
% 9.54/7.04 (xuntil6(s307)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39916, 39914])).
% 9.54/7.04 tff(39918,plain,
% 9.54/7.04 (until5(s308)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12455, 39917])).
% 9.54/7.04 tff(39919,plain,
% 9.54/7.04 (~node4(s308)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12459, 22, 39458])).
% 9.54/7.04 tff(39920,plain,
% 9.54/7.04 (xuntil6(s308) | (~until5(s308))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12466, 36, 39919])).
% 9.54/7.04 tff(39921,plain,
% 9.54/7.04 (xuntil6(s308)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39920, 39918])).
% 9.54/7.04 tff(39922,plain,
% 9.54/7.04 (until5(s309)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12472, 39921])).
% 9.54/7.04 tff(39923,plain,
% 9.54/7.04 (~node4(s309)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12476, 22, 39457])).
% 9.54/7.04 tff(39924,plain,
% 9.54/7.04 (xuntil6(s309) | (~until5(s309))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12483, 36, 39923])).
% 9.54/7.04 tff(39925,plain,
% 9.54/7.04 (xuntil6(s309)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39924, 39922])).
% 9.54/7.04 tff(39926,plain,
% 9.54/7.04 (until5(s310)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12489, 39925])).
% 9.54/7.04 tff(39927,plain,
% 9.54/7.04 (~node4(s310)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12493, 22, 39456])).
% 9.54/7.04 tff(39928,plain,
% 9.54/7.04 (xuntil6(s310) | (~until5(s310))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12500, 36, 39927])).
% 9.54/7.04 tff(39929,plain,
% 9.54/7.04 (xuntil6(s310)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39928, 39926])).
% 9.54/7.04 tff(39930,plain,
% 9.54/7.04 (until5(s311)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12506, 39929])).
% 9.54/7.04 tff(39931,plain,
% 9.54/7.04 (~node4(s311)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12510, 22, 39455])).
% 9.54/7.04 tff(39932,plain,
% 9.54/7.04 (xuntil6(s311) | (~until5(s311))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12517, 36, 39931])).
% 9.54/7.04 tff(39933,plain,
% 9.54/7.04 (xuntil6(s311)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39932, 39930])).
% 9.54/7.04 tff(39934,plain,
% 9.54/7.04 (until5(s312)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12523, 39933])).
% 9.54/7.04 tff(39935,assumption,(~xuntil6(s312)), introduced(assumption)).
% 9.54/7.04 tff(39936,plain,
% 9.54/7.04 (node4(s312) | (~until5(s312))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12534, 36, 39935])).
% 9.54/7.04 tff(39937,plain,
% 9.54/7.04 (node4(s312)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39936, 39934])).
% 9.54/7.04 tff(39938,plain,
% 9.54/7.04 ($false),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12527, 22, 39454, 39937])).
% 9.54/7.04 tff(39939,plain,(always3(s312) | xuntil6(s312) | node4(s253) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.54/7.04 tff(39940,plain,
% 9.54/7.04 (always3(s312)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39939, 39453, 6320, 38911])).
% 9.54/7.04 tff(39941,plain,
% 9.54/7.04 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s312)) | (~m_main_v_state(s312, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s312)) | (~m_main_v_state(s312, c_busy)))),
% 9.54/7.04 inference(rewrite,[status(thm)],[])).
% 9.54/7.04 tff(39942,plain,
% 9.54/7.04 (((~m_main_v_state(s312, c_busy)) | (~always3(s312))) <=> ((~always3(s312)) | (~m_main_v_state(s312, c_busy)))),
% 9.54/7.04 inference(rewrite,[status(thm)],[])).
% 9.54/7.04 tff(39943,plain,
% 9.54/7.04 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s312, c_busy)) | (~always3(s312)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s312)) | (~m_main_v_state(s312, c_busy))))),
% 9.54/7.04 inference(monotonicity,[status(thm)],[39942])).
% 9.54/7.04 tff(39944,plain,
% 9.54/7.04 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s312, c_busy)) | (~always3(s312)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s312)) | (~m_main_v_state(s312, c_busy)))),
% 9.54/7.04 inference(transitivity,[status(thm)],[39943, 39941])).
% 9.54/7.04 tff(39945,plain,
% 9.54/7.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s312, c_busy)) | (~always3(s312)))),
% 9.54/7.04 inference(quant_inst,[status(thm)],[])).
% 9.54/7.04 tff(39946,plain,
% 9.54/7.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s312)) | (~m_main_v_state(s312, c_busy))),
% 9.54/7.04 inference(modus_ponens,[status(thm)],[39945, 39944])).
% 9.54/7.04 tff(39947,plain,
% 9.54/7.04 (~m_main_v_state(s312, c_busy)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39946, 170, 39940])).
% 9.54/7.04 tff(39948,plain,
% 9.54/7.04 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s312, c_busy) | m_main_v_state(s312, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s312, c_busy) | m_main_v_state(s312, c_ready))),
% 9.54/7.04 inference(rewrite,[status(thm)],[])).
% 9.54/7.04 tff(39949,plain,
% 9.54/7.04 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s312, c_busy) | m_main_v_state(s312, c_ready))),
% 9.54/7.04 inference(quant_inst,[status(thm)],[])).
% 9.54/7.04 tff(39950,plain,
% 9.54/7.04 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s312, c_busy) | m_main_v_state(s312, c_ready)),
% 9.54/7.04 inference(modus_ponens,[status(thm)],[39949, 39948])).
% 9.54/7.04 tff(39951,plain,
% 9.54/7.04 (m_main_v_state(s312, c_ready)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39950, 213, 39947])).
% 9.54/7.04 tff(39952,plain,
% 9.54/7.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s312, s313)) | node2(s312, s313))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s312, s313)) | node2(s312, s313))),
% 9.54/7.04 inference(rewrite,[status(thm)],[])).
% 9.54/7.04 tff(39953,plain,
% 9.54/7.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s312, s313)) | node2(s312, s313))),
% 9.54/7.04 inference(quant_inst,[status(thm)],[])).
% 9.54/7.04 tff(39954,plain,
% 9.54/7.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s312, s313)) | node2(s312, s313)),
% 9.54/7.04 inference(modus_ponens,[status(thm)],[39953, 39952])).
% 9.54/7.04 tff(39955,plain,
% 9.54/7.04 (node2(s312, s313)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39954, 7, 5165])).
% 9.54/7.04 tff(39956,plain,
% 9.54/7.04 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s312, c_ready)) | (~node2(s312, s313)) | m_main_v_state(s313, c_busy) | (~m_main_v_request(s312)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s312, c_ready)) | (~node2(s312, s313)) | m_main_v_state(s313, c_busy) | (~m_main_v_request(s312)))),
% 9.54/7.04 inference(rewrite,[status(thm)],[])).
% 9.54/7.04 tff(39957,plain,
% 9.54/7.04 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s312, c_ready)) | (~node2(s312, s313)) | m_main_v_state(s313, c_busy) | (~m_main_v_request(s312)))),
% 9.54/7.04 inference(quant_inst,[status(thm)],[])).
% 9.54/7.04 tff(39958,plain,
% 9.54/7.04 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s312, c_ready)) | (~node2(s312, s313)) | m_main_v_state(s313, c_busy) | (~m_main_v_request(s312))),
% 9.54/7.04 inference(modus_ponens,[status(thm)],[39957, 39956])).
% 9.54/7.04 tff(39959,plain,
% 9.54/7.04 ((~m_main_v_state(s312, c_ready)) | m_main_v_state(s313, c_busy) | (~m_main_v_request(s312))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39958, 191, 39955])).
% 9.54/7.04 tff(39960,plain,
% 9.54/7.04 (~m_main_v_request(s312)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39959, 39951, 39433])).
% 9.54/7.04 tff(39961,plain,
% 9.54/7.04 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s312) | (~node4(s312)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s312) | (~node4(s312)))),
% 9.54/7.04 inference(rewrite,[status(thm)],[])).
% 9.54/7.04 tff(39962,plain,
% 9.54/7.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s312) | (~node4(s312)))),
% 9.54/7.04 inference(quant_inst,[status(thm)],[])).
% 9.54/7.04 tff(39963,plain,
% 9.54/7.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s312) | (~node4(s312))),
% 9.54/7.04 inference(modus_ponens,[status(thm)],[39962, 39961])).
% 9.54/7.04 tff(39964,plain,
% 9.54/7.04 (~node4(s312)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39963, 154, 39960])).
% 9.54/7.04 tff(39965,plain,
% 9.54/7.04 (node4(s312) | (~until5(s312))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12534, 36, 39453])).
% 9.54/7.04 tff(39966,plain,
% 9.54/7.04 (~until5(s312)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[39965, 39964])).
% 9.54/7.04 tff(39967,plain,
% 9.54/7.04 (~xuntil6(s311)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12523, 39966])).
% 9.54/7.04 tff(39968,assumption,(~always3(s311)), introduced(assumption)).
% 9.54/7.04 tff(39969,plain,
% 9.54/7.04 (~always3(s310)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5193, 39968])).
% 9.54/7.04 tff(39970,plain,
% 9.54/7.04 (~always3(s309)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5205, 39969])).
% 9.54/7.04 tff(39971,plain,
% 9.54/7.04 (~always3(s308)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5217, 39970])).
% 9.54/7.04 tff(39972,plain,
% 9.54/7.04 (~always3(s307)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5229, 39971])).
% 9.54/7.04 tff(39973,plain,
% 9.54/7.04 (~always3(s306)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5241, 39972])).
% 9.54/7.04 tff(39974,plain,
% 9.54/7.04 (~always3(s305)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5253, 39973])).
% 9.54/7.04 tff(39975,plain,
% 9.54/7.04 (~always3(s304)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5265, 39974])).
% 9.54/7.04 tff(39976,plain,
% 9.54/7.04 (~always3(s303)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5277, 39975])).
% 9.54/7.04 tff(39977,plain,
% 9.54/7.04 (~always3(s302)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5289, 39976])).
% 9.54/7.04 tff(39978,plain,
% 9.54/7.04 (~always3(s301)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5301, 39977])).
% 9.54/7.04 tff(39979,plain,
% 9.54/7.04 (~always3(s300)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5313, 39978])).
% 9.54/7.04 tff(39980,plain,
% 9.54/7.04 (~always3(s299)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5325, 39979])).
% 9.54/7.04 tff(39981,plain,
% 9.54/7.04 (~always3(s298)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5337, 39980])).
% 9.54/7.04 tff(39982,plain,
% 9.54/7.04 (~always3(s297)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5349, 39981])).
% 9.54/7.04 tff(39983,plain,
% 9.54/7.04 (~always3(s296)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5361, 39982])).
% 9.54/7.04 tff(39984,plain,
% 9.54/7.04 (~always3(s295)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5373, 39983])).
% 9.54/7.04 tff(39985,plain,
% 9.54/7.04 (~always3(s294)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5385, 39984])).
% 9.54/7.04 tff(39986,plain,
% 9.54/7.04 (~always3(s293)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5397, 39985])).
% 9.54/7.04 tff(39987,plain,
% 9.54/7.04 (~always3(s292)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5409, 39986])).
% 9.54/7.04 tff(39988,plain,
% 9.54/7.04 (~always3(s291)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5421, 39987])).
% 9.54/7.04 tff(39989,plain,
% 9.54/7.04 (~always3(s290)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5433, 39988])).
% 9.54/7.04 tff(39990,plain,
% 9.54/7.04 (~always3(s289)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5445, 39989])).
% 9.54/7.04 tff(39991,plain,
% 9.54/7.04 (~always3(s288)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5457, 39990])).
% 9.54/7.04 tff(39992,plain,
% 9.54/7.04 (~always3(s287)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5469, 39991])).
% 9.54/7.04 tff(39993,plain,
% 9.54/7.04 (~always3(s286)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5481, 39992])).
% 9.54/7.04 tff(39994,plain,
% 9.54/7.04 (~always3(s285)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5493, 39993])).
% 9.54/7.04 tff(39995,plain,
% 9.54/7.04 (~always3(s284)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5505, 39994])).
% 9.54/7.04 tff(39996,plain,
% 9.54/7.04 (~always3(s283)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5517, 39995])).
% 9.54/7.04 tff(39997,plain,
% 9.54/7.04 (~always3(s282)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5529, 39996])).
% 9.54/7.04 tff(39998,plain,
% 9.54/7.04 (~always3(s281)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5541, 39997])).
% 9.54/7.04 tff(39999,plain,
% 9.54/7.04 (~always3(s280)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5553, 39998])).
% 9.54/7.04 tff(40000,plain,
% 9.54/7.04 (~always3(s279)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5565, 39999])).
% 9.54/7.04 tff(40001,plain,
% 9.54/7.04 (~always3(s278)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5577, 40000])).
% 9.54/7.04 tff(40002,plain,
% 9.54/7.04 (~always3(s277)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5589, 40001])).
% 9.54/7.04 tff(40003,plain,
% 9.54/7.04 (~always3(s276)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5601, 40002])).
% 9.54/7.04 tff(40004,plain,
% 9.54/7.04 (~always3(s275)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5613, 40003])).
% 9.54/7.04 tff(40005,plain,
% 9.54/7.04 (~always3(s274)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5625, 40004])).
% 9.54/7.04 tff(40006,plain,
% 9.54/7.04 (~always3(s273)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5637, 40005])).
% 9.54/7.04 tff(40007,plain,
% 9.54/7.04 (~always3(s272)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5649, 40006])).
% 9.54/7.04 tff(40008,plain,
% 9.54/7.04 (~always3(s271)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5661, 40007])).
% 9.54/7.04 tff(40009,plain,
% 9.54/7.04 (~always3(s270)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5673, 40008])).
% 9.54/7.04 tff(40010,plain,
% 9.54/7.04 (~always3(s269)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5685, 40009])).
% 9.54/7.04 tff(40011,plain,
% 9.54/7.04 (~always3(s268)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5697, 40010])).
% 9.54/7.04 tff(40012,plain,
% 9.54/7.04 (~always3(s267)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5709, 40011])).
% 9.54/7.04 tff(40013,plain,
% 9.54/7.04 (~always3(s266)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5721, 40012])).
% 9.54/7.04 tff(40014,plain,
% 9.54/7.04 (~always3(s265)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5733, 40013])).
% 9.54/7.04 tff(40015,plain,
% 9.54/7.04 (~always3(s264)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5745, 40014])).
% 9.54/7.04 tff(40016,plain,
% 9.54/7.04 (~always3(s263)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5757, 40015])).
% 9.54/7.04 tff(40017,plain,
% 9.54/7.04 (~always3(s262)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5769, 40016])).
% 9.54/7.04 tff(40018,plain,
% 9.54/7.04 (~always3(s261)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5781, 40017])).
% 9.54/7.04 tff(40019,plain,
% 9.54/7.04 (~always3(s260)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5793, 40018])).
% 9.54/7.04 tff(40020,plain,
% 9.54/7.04 (~always3(s259)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5805, 40019])).
% 9.54/7.04 tff(40021,plain,
% 9.54/7.04 (~always3(s258)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5817, 40020])).
% 9.54/7.04 tff(40022,plain,
% 9.54/7.04 (~always3(s257)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5829, 40021])).
% 9.54/7.04 tff(40023,plain,
% 9.54/7.04 (~always3(s256)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5841, 40022])).
% 9.54/7.04 tff(40024,plain,
% 9.54/7.04 (~always3(s255)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5853, 40023])).
% 9.54/7.04 tff(40025,plain,
% 9.54/7.04 (~always3(s254)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5865, 40024])).
% 9.54/7.04 tff(40026,plain,
% 9.54/7.04 (~always3(s253)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5092, 40025])).
% 9.54/7.04 tff(40027,plain,
% 9.54/7.04 (~always3(s252)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5878, 40026])).
% 9.54/7.04 tff(40028,plain,
% 9.54/7.04 (~always3(s251)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5890, 40027])).
% 9.54/7.04 tff(40029,plain,
% 9.54/7.04 (~always3(s250)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5902, 40028])).
% 9.54/7.04 tff(40030,plain,
% 9.54/7.04 (~always3(s249)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5914, 40029])).
% 9.54/7.04 tff(40031,plain,
% 9.54/7.04 (~always3(s248)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5926, 40030])).
% 9.54/7.04 tff(40032,plain,
% 9.54/7.04 (~always3(s247)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5938, 40031])).
% 9.54/7.04 tff(40033,plain,
% 9.54/7.04 (~always3(s246)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5950, 40032])).
% 9.54/7.04 tff(40034,plain,
% 9.54/7.04 (~always3(s245)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5962, 40033])).
% 9.54/7.04 tff(40035,plain,
% 9.54/7.04 (~always3(s244)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5974, 40034])).
% 9.54/7.04 tff(40036,plain,
% 9.54/7.04 (~always3(s243)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5986, 40035])).
% 9.54/7.04 tff(40037,plain,
% 9.54/7.04 (~always3(s242)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[5998, 40036])).
% 9.54/7.04 tff(40038,plain,
% 9.54/7.04 (~always3(s241)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6010, 40037])).
% 9.54/7.04 tff(40039,plain,
% 9.54/7.04 (~always3(s240)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6022, 40038])).
% 9.54/7.04 tff(40040,plain,
% 9.54/7.04 (~always3(s239)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6034, 40039])).
% 9.54/7.04 tff(40041,plain,
% 9.54/7.04 (~always3(s238)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6046, 40040])).
% 9.54/7.04 tff(40042,plain,
% 9.54/7.04 (~always3(s237)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6058, 40041])).
% 9.54/7.04 tff(40043,plain,
% 9.54/7.04 (~always3(s236)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6070, 40042])).
% 9.54/7.04 tff(40044,plain,
% 9.54/7.04 (~always3(s235)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6082, 40043])).
% 9.54/7.04 tff(40045,plain,
% 9.54/7.04 (~always3(s234)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6094, 40044])).
% 9.54/7.04 tff(40046,plain,
% 9.54/7.04 (~always3(s233)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6106, 40045])).
% 9.54/7.04 tff(40047,plain,
% 9.54/7.04 (~always3(s232)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6118, 40046])).
% 9.54/7.04 tff(40048,plain,
% 9.54/7.04 (~always3(s231)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6130, 40047])).
% 9.54/7.04 tff(40049,plain,
% 9.54/7.04 (~always3(s230)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6142, 40048])).
% 9.54/7.04 tff(40050,plain,
% 9.54/7.04 (~always3(s229)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6154, 40049])).
% 9.54/7.04 tff(40051,plain,
% 9.54/7.04 (~always3(s228)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6166, 40050])).
% 9.54/7.04 tff(40052,plain,
% 9.54/7.04 (~always3(s227)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6178, 40051])).
% 9.54/7.04 tff(40053,plain,
% 9.54/7.04 (~always3(s226)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6190, 40052])).
% 9.54/7.04 tff(40054,plain,
% 9.54/7.04 (~always3(s225)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6202, 40053])).
% 9.54/7.04 tff(40055,plain,
% 9.54/7.04 (~always3(s224)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6214, 40054])).
% 9.54/7.04 tff(40056,plain,
% 9.54/7.04 (~always3(s223)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6226, 40055])).
% 9.54/7.04 tff(40057,plain,
% 9.54/7.04 (~always3(s222)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6238, 40056])).
% 9.54/7.04 tff(40058,plain,
% 9.54/7.04 (~always3(s221)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6250, 40057])).
% 9.54/7.04 tff(40059,plain,
% 9.54/7.04 (~always3(s220)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6262, 40058])).
% 9.54/7.04 tff(40060,plain,
% 9.54/7.04 (~always3(s219)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6274, 40059])).
% 9.54/7.04 tff(40061,plain,
% 9.54/7.04 (~always3(s218)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6286, 40060])).
% 9.54/7.04 tff(40062,plain,
% 9.54/7.04 (~always3(s217)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6298, 40061])).
% 9.54/7.04 tff(40063,plain,
% 9.54/7.04 (~node4(s217)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6302, 22, 40062])).
% 9.54/7.04 tff(40064,plain,
% 9.54/7.04 (~always3(s216)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6314, 40062])).
% 9.54/7.04 tff(40065,plain,
% 9.54/7.04 (~node4(s216)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6318, 22, 40064])).
% 9.54/7.04 tff(40066,plain,
% 9.54/7.04 (~always3(s215)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[6331, 40064])).
% 9.54/7.04 tff(40067,plain,
% 9.54/7.04 (xuntil6(s215)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[10898, 40066, 6320])).
% 9.54/7.04 tff(40068,plain,
% 9.54/7.04 (until5(s216)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[10903, 40067])).
% 9.54/7.04 tff(40069,plain,
% 9.54/7.04 (xuntil6(s216) | node4(s216)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[10910, 36, 40068])).
% 9.54/7.04 tff(40070,plain,
% 9.54/7.04 (xuntil6(s216)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40069, 40065])).
% 9.54/7.04 tff(40071,plain,
% 9.54/7.04 (until5(s217)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[10916, 40070])).
% 9.54/7.04 tff(40072,plain,
% 9.54/7.04 (xuntil6(s217)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[10923, 36, 40071, 40063])).
% 9.54/7.04 tff(40073,plain,
% 9.54/7.04 (until5(s218)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[10928, 40072])).
% 9.54/7.04 tff(40074,plain,
% 9.54/7.04 (~node4(s218)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[10932, 22, 40061])).
% 9.54/7.04 tff(40075,plain,
% 9.54/7.04 (xuntil6(s218) | (~until5(s218))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[10939, 36, 40074])).
% 9.54/7.04 tff(40076,plain,
% 9.54/7.04 (xuntil6(s218)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40075, 40073])).
% 9.54/7.04 tff(40077,plain,
% 9.54/7.04 (until5(s219)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[10945, 40076])).
% 9.54/7.04 tff(40078,plain,
% 9.54/7.04 (~node4(s219)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[10949, 22, 40060])).
% 9.54/7.04 tff(40079,plain,
% 9.54/7.04 (xuntil6(s219) | (~until5(s219))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[10956, 36, 40078])).
% 9.54/7.04 tff(40080,plain,
% 9.54/7.04 (xuntil6(s219)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40079, 40077])).
% 9.54/7.04 tff(40081,plain,
% 9.54/7.04 (until5(s220)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[10962, 40080])).
% 9.54/7.04 tff(40082,plain,
% 9.54/7.04 (~node4(s220)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[10966, 22, 40059])).
% 9.54/7.04 tff(40083,plain,
% 9.54/7.04 (xuntil6(s220) | (~until5(s220))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[10973, 36, 40082])).
% 9.54/7.04 tff(40084,plain,
% 9.54/7.04 (xuntil6(s220)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40083, 40081])).
% 9.54/7.04 tff(40085,plain,
% 9.54/7.04 (until5(s221)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[10979, 40084])).
% 9.54/7.04 tff(40086,plain,
% 9.54/7.04 (~node4(s221)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[10983, 22, 40058])).
% 9.54/7.04 tff(40087,plain,
% 9.54/7.04 (xuntil6(s221) | (~until5(s221))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[10990, 36, 40086])).
% 9.54/7.04 tff(40088,plain,
% 9.54/7.04 (xuntil6(s221)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40087, 40085])).
% 9.54/7.04 tff(40089,plain,
% 9.54/7.04 (until5(s222)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[10996, 40088])).
% 9.54/7.04 tff(40090,plain,
% 9.54/7.04 (~node4(s222)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11000, 22, 40057])).
% 9.54/7.04 tff(40091,plain,
% 9.54/7.04 (xuntil6(s222) | (~until5(s222))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11007, 36, 40090])).
% 9.54/7.04 tff(40092,plain,
% 9.54/7.04 (xuntil6(s222)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40091, 40089])).
% 9.54/7.04 tff(40093,plain,
% 9.54/7.04 (until5(s223)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11013, 40092])).
% 9.54/7.04 tff(40094,plain,
% 9.54/7.04 (~node4(s223)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11017, 22, 40056])).
% 9.54/7.04 tff(40095,plain,
% 9.54/7.04 (xuntil6(s223) | (~until5(s223))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11024, 36, 40094])).
% 9.54/7.04 tff(40096,plain,
% 9.54/7.04 (xuntil6(s223)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40095, 40093])).
% 9.54/7.04 tff(40097,plain,
% 9.54/7.04 (until5(s224)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11030, 40096])).
% 9.54/7.04 tff(40098,plain,
% 9.54/7.04 (~node4(s224)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11034, 22, 40055])).
% 9.54/7.04 tff(40099,plain,
% 9.54/7.04 (xuntil6(s224) | (~until5(s224))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11041, 36, 40098])).
% 9.54/7.04 tff(40100,plain,
% 9.54/7.04 (xuntil6(s224)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40099, 40097])).
% 9.54/7.04 tff(40101,plain,
% 9.54/7.04 (until5(s225)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11047, 40100])).
% 9.54/7.04 tff(40102,plain,
% 9.54/7.04 (~node4(s225)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11051, 22, 40054])).
% 9.54/7.04 tff(40103,plain,
% 9.54/7.04 (xuntil6(s225) | (~until5(s225))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11058, 36, 40102])).
% 9.54/7.04 tff(40104,plain,
% 9.54/7.04 (xuntil6(s225)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40103, 40101])).
% 9.54/7.04 tff(40105,plain,
% 9.54/7.04 (until5(s226)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11064, 40104])).
% 9.54/7.04 tff(40106,plain,
% 9.54/7.04 (~node4(s226)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11068, 22, 40053])).
% 9.54/7.04 tff(40107,plain,
% 9.54/7.04 (xuntil6(s226) | (~until5(s226))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11075, 36, 40106])).
% 9.54/7.04 tff(40108,plain,
% 9.54/7.04 (xuntil6(s226)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40107, 40105])).
% 9.54/7.04 tff(40109,plain,
% 9.54/7.04 (until5(s227)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11081, 40108])).
% 9.54/7.04 tff(40110,plain,
% 9.54/7.04 (~node4(s227)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11085, 22, 40052])).
% 9.54/7.04 tff(40111,plain,
% 9.54/7.04 (xuntil6(s227) | (~until5(s227))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11092, 36, 40110])).
% 9.54/7.04 tff(40112,plain,
% 9.54/7.04 (xuntil6(s227)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40111, 40109])).
% 9.54/7.04 tff(40113,plain,
% 9.54/7.04 (until5(s228)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11098, 40112])).
% 9.54/7.04 tff(40114,plain,
% 9.54/7.04 (~node4(s228)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11102, 22, 40051])).
% 9.54/7.04 tff(40115,plain,
% 9.54/7.04 (xuntil6(s228) | (~until5(s228))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11109, 36, 40114])).
% 9.54/7.04 tff(40116,plain,
% 9.54/7.04 (xuntil6(s228)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40115, 40113])).
% 9.54/7.04 tff(40117,plain,
% 9.54/7.04 (until5(s229)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11115, 40116])).
% 9.54/7.04 tff(40118,plain,
% 9.54/7.04 (~node4(s229)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11119, 22, 40050])).
% 9.54/7.04 tff(40119,plain,
% 9.54/7.04 (xuntil6(s229) | (~until5(s229))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11126, 36, 40118])).
% 9.54/7.04 tff(40120,plain,
% 9.54/7.04 (xuntil6(s229)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40119, 40117])).
% 9.54/7.04 tff(40121,plain,
% 9.54/7.04 (until5(s230)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11132, 40120])).
% 9.54/7.04 tff(40122,plain,
% 9.54/7.04 (~node4(s230)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11136, 22, 40049])).
% 9.54/7.04 tff(40123,plain,
% 9.54/7.04 (xuntil6(s230) | (~until5(s230))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11143, 36, 40122])).
% 9.54/7.04 tff(40124,plain,
% 9.54/7.04 (xuntil6(s230)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40123, 40121])).
% 9.54/7.04 tff(40125,plain,
% 9.54/7.04 (until5(s231)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11149, 40124])).
% 9.54/7.04 tff(40126,plain,
% 9.54/7.04 (~node4(s231)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11153, 22, 40048])).
% 9.54/7.04 tff(40127,plain,
% 9.54/7.04 (xuntil6(s231) | (~until5(s231))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11160, 36, 40126])).
% 9.54/7.04 tff(40128,plain,
% 9.54/7.04 (xuntil6(s231)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40127, 40125])).
% 9.54/7.04 tff(40129,plain,
% 9.54/7.04 (until5(s232)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11166, 40128])).
% 9.54/7.04 tff(40130,plain,
% 9.54/7.04 (~node4(s232)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11170, 22, 40047])).
% 9.54/7.04 tff(40131,plain,
% 9.54/7.04 (xuntil6(s232) | (~until5(s232))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11177, 36, 40130])).
% 9.54/7.04 tff(40132,plain,
% 9.54/7.04 (xuntil6(s232)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40131, 40129])).
% 9.54/7.04 tff(40133,plain,
% 9.54/7.04 (until5(s233)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11183, 40132])).
% 9.54/7.04 tff(40134,plain,
% 9.54/7.04 (~node4(s233)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11187, 22, 40046])).
% 9.54/7.04 tff(40135,plain,
% 9.54/7.04 (xuntil6(s233) | (~until5(s233))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11194, 36, 40134])).
% 9.54/7.04 tff(40136,plain,
% 9.54/7.04 (xuntil6(s233)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40135, 40133])).
% 9.54/7.04 tff(40137,plain,
% 9.54/7.04 (until5(s234)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11200, 40136])).
% 9.54/7.04 tff(40138,plain,
% 9.54/7.04 (~node4(s234)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11204, 22, 40045])).
% 9.54/7.04 tff(40139,plain,
% 9.54/7.04 (xuntil6(s234) | (~until5(s234))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11211, 36, 40138])).
% 9.54/7.04 tff(40140,plain,
% 9.54/7.04 (xuntil6(s234)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40139, 40137])).
% 9.54/7.04 tff(40141,plain,
% 9.54/7.04 (until5(s235)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11217, 40140])).
% 9.54/7.04 tff(40142,plain,
% 9.54/7.04 (~node4(s235)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11221, 22, 40044])).
% 9.54/7.04 tff(40143,plain,
% 9.54/7.04 (xuntil6(s235) | (~until5(s235))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11228, 36, 40142])).
% 9.54/7.04 tff(40144,plain,
% 9.54/7.04 (xuntil6(s235)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40143, 40141])).
% 9.54/7.04 tff(40145,plain,
% 9.54/7.04 (until5(s236)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11234, 40144])).
% 9.54/7.04 tff(40146,plain,
% 9.54/7.04 (~node4(s236)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11238, 22, 40043])).
% 9.54/7.04 tff(40147,plain,
% 9.54/7.04 (xuntil6(s236) | (~until5(s236))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11245, 36, 40146])).
% 9.54/7.04 tff(40148,plain,
% 9.54/7.04 (xuntil6(s236)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40147, 40145])).
% 9.54/7.04 tff(40149,plain,
% 9.54/7.04 (until5(s237)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11251, 40148])).
% 9.54/7.04 tff(40150,plain,
% 9.54/7.04 (~node4(s237)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11255, 22, 40042])).
% 9.54/7.04 tff(40151,plain,
% 9.54/7.04 (xuntil6(s237) | (~until5(s237))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11262, 36, 40150])).
% 9.54/7.04 tff(40152,plain,
% 9.54/7.04 (xuntil6(s237)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40151, 40149])).
% 9.54/7.04 tff(40153,plain,
% 9.54/7.04 (until5(s238)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11268, 40152])).
% 9.54/7.04 tff(40154,plain,
% 9.54/7.04 (~node4(s238)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11272, 22, 40041])).
% 9.54/7.04 tff(40155,plain,
% 9.54/7.04 (xuntil6(s238) | (~until5(s238))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11279, 36, 40154])).
% 9.54/7.04 tff(40156,plain,
% 9.54/7.04 (xuntil6(s238)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40155, 40153])).
% 9.54/7.04 tff(40157,plain,
% 9.54/7.04 (until5(s239)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11285, 40156])).
% 9.54/7.04 tff(40158,plain,
% 9.54/7.04 (~node4(s239)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11289, 22, 40040])).
% 9.54/7.04 tff(40159,plain,
% 9.54/7.04 (xuntil6(s239) | (~until5(s239))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11296, 36, 40158])).
% 9.54/7.04 tff(40160,plain,
% 9.54/7.04 (xuntil6(s239)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40159, 40157])).
% 9.54/7.04 tff(40161,plain,
% 9.54/7.04 (until5(s240)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11302, 40160])).
% 9.54/7.04 tff(40162,plain,
% 9.54/7.04 (~node4(s240)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11306, 22, 40039])).
% 9.54/7.04 tff(40163,plain,
% 9.54/7.04 (xuntil6(s240) | (~until5(s240))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11313, 36, 40162])).
% 9.54/7.04 tff(40164,plain,
% 9.54/7.04 (xuntil6(s240)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40163, 40161])).
% 9.54/7.04 tff(40165,plain,
% 9.54/7.04 (until5(s241)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11319, 40164])).
% 9.54/7.04 tff(40166,plain,
% 9.54/7.04 (~node4(s241)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11323, 22, 40038])).
% 9.54/7.04 tff(40167,plain,
% 9.54/7.04 (xuntil6(s241) | (~until5(s241))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11330, 36, 40166])).
% 9.54/7.04 tff(40168,plain,
% 9.54/7.04 (xuntil6(s241)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40167, 40165])).
% 9.54/7.04 tff(40169,plain,
% 9.54/7.04 (until5(s242)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11336, 40168])).
% 9.54/7.04 tff(40170,plain,
% 9.54/7.04 (~node4(s242)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11340, 22, 40037])).
% 9.54/7.04 tff(40171,plain,
% 9.54/7.04 (xuntil6(s242) | (~until5(s242))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11347, 36, 40170])).
% 9.54/7.04 tff(40172,plain,
% 9.54/7.04 (xuntil6(s242)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40171, 40169])).
% 9.54/7.04 tff(40173,plain,
% 9.54/7.04 (until5(s243)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11353, 40172])).
% 9.54/7.04 tff(40174,plain,
% 9.54/7.04 (~node4(s243)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11357, 22, 40036])).
% 9.54/7.04 tff(40175,plain,
% 9.54/7.04 (xuntil6(s243) | (~until5(s243))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11364, 36, 40174])).
% 9.54/7.04 tff(40176,plain,
% 9.54/7.04 (xuntil6(s243)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40175, 40173])).
% 9.54/7.04 tff(40177,plain,
% 9.54/7.04 (until5(s244)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11370, 40176])).
% 9.54/7.04 tff(40178,plain,
% 9.54/7.04 (~node4(s244)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11374, 22, 40035])).
% 9.54/7.04 tff(40179,plain,
% 9.54/7.04 (xuntil6(s244) | (~until5(s244))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11381, 36, 40178])).
% 9.54/7.04 tff(40180,plain,
% 9.54/7.04 (xuntil6(s244)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40179, 40177])).
% 9.54/7.04 tff(40181,plain,
% 9.54/7.04 (until5(s245)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11387, 40180])).
% 9.54/7.04 tff(40182,plain,
% 9.54/7.04 (~node4(s245)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11391, 22, 40034])).
% 9.54/7.04 tff(40183,plain,
% 9.54/7.04 (xuntil6(s245) | (~until5(s245))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11398, 36, 40182])).
% 9.54/7.04 tff(40184,plain,
% 9.54/7.04 (xuntil6(s245)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40183, 40181])).
% 9.54/7.04 tff(40185,plain,
% 9.54/7.04 (until5(s246)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11404, 40184])).
% 9.54/7.04 tff(40186,plain,
% 9.54/7.04 (~node4(s246)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11408, 22, 40033])).
% 9.54/7.04 tff(40187,plain,
% 9.54/7.04 (xuntil6(s246) | (~until5(s246))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11415, 36, 40186])).
% 9.54/7.04 tff(40188,plain,
% 9.54/7.04 (xuntil6(s246)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40187, 40185])).
% 9.54/7.04 tff(40189,plain,
% 9.54/7.04 (until5(s247)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11421, 40188])).
% 9.54/7.04 tff(40190,plain,
% 9.54/7.04 (~node4(s247)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11425, 22, 40032])).
% 9.54/7.04 tff(40191,plain,
% 9.54/7.04 (xuntil6(s247) | (~until5(s247))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11432, 36, 40190])).
% 9.54/7.04 tff(40192,plain,
% 9.54/7.04 (xuntil6(s247)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40191, 40189])).
% 9.54/7.04 tff(40193,plain,
% 9.54/7.04 (until5(s248)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11438, 40192])).
% 9.54/7.04 tff(40194,plain,
% 9.54/7.04 (~node4(s248)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11442, 22, 40031])).
% 9.54/7.04 tff(40195,plain,
% 9.54/7.04 (xuntil6(s248) | (~until5(s248))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11449, 36, 40194])).
% 9.54/7.04 tff(40196,plain,
% 9.54/7.04 (xuntil6(s248)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40195, 40193])).
% 9.54/7.04 tff(40197,plain,
% 9.54/7.04 (until5(s249)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11455, 40196])).
% 9.54/7.04 tff(40198,plain,
% 9.54/7.04 (~node4(s249)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11459, 22, 40030])).
% 9.54/7.04 tff(40199,plain,
% 9.54/7.04 (xuntil6(s249) | (~until5(s249))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11466, 36, 40198])).
% 9.54/7.04 tff(40200,plain,
% 9.54/7.04 (xuntil6(s249)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40199, 40197])).
% 9.54/7.04 tff(40201,plain,
% 9.54/7.04 (until5(s250)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11472, 40200])).
% 9.54/7.04 tff(40202,plain,
% 9.54/7.04 (~node4(s250)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11476, 22, 40029])).
% 9.54/7.04 tff(40203,plain,
% 9.54/7.04 (xuntil6(s250) | (~until5(s250))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11483, 36, 40202])).
% 9.54/7.04 tff(40204,plain,
% 9.54/7.04 (xuntil6(s250)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40203, 40201])).
% 9.54/7.04 tff(40205,plain,
% 9.54/7.04 (until5(s251)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11489, 40204])).
% 9.54/7.04 tff(40206,plain,
% 9.54/7.04 (~node4(s251)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11493, 22, 40028])).
% 9.54/7.04 tff(40207,plain,
% 9.54/7.04 (xuntil6(s251) | (~until5(s251))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11500, 36, 40206])).
% 9.54/7.04 tff(40208,plain,
% 9.54/7.04 (xuntil6(s251)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40207, 40205])).
% 9.54/7.04 tff(40209,plain,
% 9.54/7.04 (until5(s252)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11506, 40208])).
% 9.54/7.04 tff(40210,plain,
% 9.54/7.04 (~node4(s252)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11510, 22, 40027])).
% 9.54/7.04 tff(40211,plain,
% 9.54/7.04 (xuntil6(s252) | (~until5(s252))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11517, 36, 40210])).
% 9.54/7.04 tff(40212,plain,
% 9.54/7.04 (xuntil6(s252)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40211, 40209])).
% 9.54/7.04 tff(40213,plain,
% 9.54/7.04 (until5(s253)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11523, 40212])).
% 9.54/7.04 tff(40214,plain,
% 9.54/7.04 (xuntil6(s253)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11532, 40213])).
% 9.54/7.04 tff(40215,plain,
% 9.54/7.04 (until5(s254)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11537, 40214])).
% 9.54/7.04 tff(40216,plain,
% 9.54/7.04 (~node4(s254)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11541, 22, 40025])).
% 9.54/7.04 tff(40217,plain,
% 9.54/7.04 (xuntil6(s254) | (~until5(s254))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11548, 36, 40216])).
% 9.54/7.04 tff(40218,plain,
% 9.54/7.04 (xuntil6(s254)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40217, 40215])).
% 9.54/7.04 tff(40219,plain,
% 9.54/7.04 (until5(s255)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11554, 40218])).
% 9.54/7.04 tff(40220,plain,
% 9.54/7.04 (~node4(s255)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11558, 22, 40024])).
% 9.54/7.04 tff(40221,plain,
% 9.54/7.04 (xuntil6(s255) | (~until5(s255))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11565, 36, 40220])).
% 9.54/7.04 tff(40222,plain,
% 9.54/7.04 (xuntil6(s255)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40221, 40219])).
% 9.54/7.04 tff(40223,plain,
% 9.54/7.04 (until5(s256)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11571, 40222])).
% 9.54/7.04 tff(40224,plain,
% 9.54/7.04 (~node4(s256)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11575, 22, 40023])).
% 9.54/7.04 tff(40225,plain,
% 9.54/7.04 (xuntil6(s256) | (~until5(s256))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11582, 36, 40224])).
% 9.54/7.04 tff(40226,plain,
% 9.54/7.04 (xuntil6(s256)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40225, 40223])).
% 9.54/7.04 tff(40227,plain,
% 9.54/7.04 (until5(s257)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11588, 40226])).
% 9.54/7.04 tff(40228,plain,
% 9.54/7.04 (~node4(s257)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11592, 22, 40022])).
% 9.54/7.04 tff(40229,plain,
% 9.54/7.04 (xuntil6(s257) | (~until5(s257))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11599, 36, 40228])).
% 9.54/7.04 tff(40230,plain,
% 9.54/7.04 (xuntil6(s257)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40229, 40227])).
% 9.54/7.04 tff(40231,plain,
% 9.54/7.04 (until5(s258)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11605, 40230])).
% 9.54/7.04 tff(40232,plain,
% 9.54/7.04 (~node4(s258)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11609, 22, 40021])).
% 9.54/7.04 tff(40233,plain,
% 9.54/7.04 (xuntil6(s258) | (~until5(s258))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11616, 36, 40232])).
% 9.54/7.04 tff(40234,plain,
% 9.54/7.04 (xuntil6(s258)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40233, 40231])).
% 9.54/7.04 tff(40235,plain,
% 9.54/7.04 (until5(s259)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11622, 40234])).
% 9.54/7.04 tff(40236,plain,
% 9.54/7.04 (~node4(s259)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11626, 22, 40020])).
% 9.54/7.04 tff(40237,plain,
% 9.54/7.04 (xuntil6(s259) | (~until5(s259))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11633, 36, 40236])).
% 9.54/7.04 tff(40238,plain,
% 9.54/7.04 (xuntil6(s259)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40237, 40235])).
% 9.54/7.04 tff(40239,plain,
% 9.54/7.04 (until5(s260)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11639, 40238])).
% 9.54/7.04 tff(40240,plain,
% 9.54/7.04 (~node4(s260)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11643, 22, 40019])).
% 9.54/7.04 tff(40241,plain,
% 9.54/7.04 (xuntil6(s260) | (~until5(s260))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11650, 36, 40240])).
% 9.54/7.04 tff(40242,plain,
% 9.54/7.04 (xuntil6(s260)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40241, 40239])).
% 9.54/7.04 tff(40243,plain,
% 9.54/7.04 (until5(s261)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11656, 40242])).
% 9.54/7.04 tff(40244,plain,
% 9.54/7.04 (~node4(s261)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11660, 22, 40018])).
% 9.54/7.04 tff(40245,plain,
% 9.54/7.04 (xuntil6(s261) | (~until5(s261))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11667, 36, 40244])).
% 9.54/7.04 tff(40246,plain,
% 9.54/7.04 (xuntil6(s261)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40245, 40243])).
% 9.54/7.04 tff(40247,plain,
% 9.54/7.04 (until5(s262)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11673, 40246])).
% 9.54/7.04 tff(40248,plain,
% 9.54/7.04 (~node4(s262)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11677, 22, 40017])).
% 9.54/7.04 tff(40249,plain,
% 9.54/7.04 (xuntil6(s262) | (~until5(s262))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11684, 36, 40248])).
% 9.54/7.04 tff(40250,plain,
% 9.54/7.04 (xuntil6(s262)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40249, 40247])).
% 9.54/7.04 tff(40251,plain,
% 9.54/7.04 (until5(s263)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11690, 40250])).
% 9.54/7.04 tff(40252,plain,
% 9.54/7.04 (~node4(s263)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11694, 22, 40016])).
% 9.54/7.04 tff(40253,plain,
% 9.54/7.04 (xuntil6(s263) | (~until5(s263))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11701, 36, 40252])).
% 9.54/7.04 tff(40254,plain,
% 9.54/7.04 (xuntil6(s263)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40253, 40251])).
% 9.54/7.04 tff(40255,plain,
% 9.54/7.04 (until5(s264)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11707, 40254])).
% 9.54/7.04 tff(40256,plain,
% 9.54/7.04 (~node4(s264)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11711, 22, 40015])).
% 9.54/7.04 tff(40257,plain,
% 9.54/7.04 (xuntil6(s264) | (~until5(s264))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11718, 36, 40256])).
% 9.54/7.04 tff(40258,plain,
% 9.54/7.04 (xuntil6(s264)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40257, 40255])).
% 9.54/7.04 tff(40259,plain,
% 9.54/7.04 (until5(s265)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11724, 40258])).
% 9.54/7.04 tff(40260,plain,
% 9.54/7.04 (~node4(s265)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11728, 22, 40014])).
% 9.54/7.04 tff(40261,plain,
% 9.54/7.04 (xuntil6(s265) | (~until5(s265))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11735, 36, 40260])).
% 9.54/7.04 tff(40262,plain,
% 9.54/7.04 (xuntil6(s265)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40261, 40259])).
% 9.54/7.04 tff(40263,plain,
% 9.54/7.04 (until5(s266)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11741, 40262])).
% 9.54/7.04 tff(40264,plain,
% 9.54/7.04 (~node4(s266)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11745, 22, 40013])).
% 9.54/7.04 tff(40265,plain,
% 9.54/7.04 (xuntil6(s266) | (~until5(s266))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11752, 36, 40264])).
% 9.54/7.04 tff(40266,plain,
% 9.54/7.04 (xuntil6(s266)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40265, 40263])).
% 9.54/7.04 tff(40267,plain,
% 9.54/7.04 (until5(s267)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11758, 40266])).
% 9.54/7.04 tff(40268,plain,
% 9.54/7.04 (~node4(s267)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11762, 22, 40012])).
% 9.54/7.04 tff(40269,plain,
% 9.54/7.04 (xuntil6(s267) | (~until5(s267))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11769, 36, 40268])).
% 9.54/7.04 tff(40270,plain,
% 9.54/7.04 (xuntil6(s267)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40269, 40267])).
% 9.54/7.04 tff(40271,plain,
% 9.54/7.04 (until5(s268)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11775, 40270])).
% 9.54/7.04 tff(40272,plain,
% 9.54/7.04 (~node4(s268)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11779, 22, 40011])).
% 9.54/7.04 tff(40273,plain,
% 9.54/7.04 (xuntil6(s268) | (~until5(s268))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11786, 36, 40272])).
% 9.54/7.04 tff(40274,plain,
% 9.54/7.04 (xuntil6(s268)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40273, 40271])).
% 9.54/7.04 tff(40275,plain,
% 9.54/7.04 (until5(s269)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11792, 40274])).
% 9.54/7.04 tff(40276,plain,
% 9.54/7.04 (~node4(s269)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11796, 22, 40010])).
% 9.54/7.04 tff(40277,plain,
% 9.54/7.04 (xuntil6(s269) | (~until5(s269))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11803, 36, 40276])).
% 9.54/7.04 tff(40278,plain,
% 9.54/7.04 (xuntil6(s269)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40277, 40275])).
% 9.54/7.04 tff(40279,plain,
% 9.54/7.04 (until5(s270)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11809, 40278])).
% 9.54/7.04 tff(40280,plain,
% 9.54/7.04 (~node4(s270)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11813, 22, 40009])).
% 9.54/7.04 tff(40281,plain,
% 9.54/7.04 (xuntil6(s270) | (~until5(s270))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11820, 36, 40280])).
% 9.54/7.04 tff(40282,plain,
% 9.54/7.04 (xuntil6(s270)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40281, 40279])).
% 9.54/7.04 tff(40283,plain,
% 9.54/7.04 (until5(s271)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11826, 40282])).
% 9.54/7.04 tff(40284,plain,
% 9.54/7.04 (~node4(s271)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11830, 22, 40008])).
% 9.54/7.04 tff(40285,plain,
% 9.54/7.04 (xuntil6(s271) | (~until5(s271))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11837, 36, 40284])).
% 9.54/7.04 tff(40286,plain,
% 9.54/7.04 (xuntil6(s271)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40285, 40283])).
% 9.54/7.04 tff(40287,plain,
% 9.54/7.04 (until5(s272)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11843, 40286])).
% 9.54/7.04 tff(40288,plain,
% 9.54/7.04 (~node4(s272)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11847, 22, 40007])).
% 9.54/7.04 tff(40289,plain,
% 9.54/7.04 (xuntil6(s272) | (~until5(s272))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11854, 36, 40288])).
% 9.54/7.04 tff(40290,plain,
% 9.54/7.04 (xuntil6(s272)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40289, 40287])).
% 9.54/7.04 tff(40291,plain,
% 9.54/7.04 (until5(s273)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11860, 40290])).
% 9.54/7.04 tff(40292,plain,
% 9.54/7.04 (~node4(s273)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11864, 22, 40006])).
% 9.54/7.04 tff(40293,plain,
% 9.54/7.04 (xuntil6(s273) | (~until5(s273))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11871, 36, 40292])).
% 9.54/7.04 tff(40294,plain,
% 9.54/7.04 (xuntil6(s273)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40293, 40291])).
% 9.54/7.04 tff(40295,plain,
% 9.54/7.04 (until5(s274)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11877, 40294])).
% 9.54/7.04 tff(40296,plain,
% 9.54/7.04 (~node4(s274)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11881, 22, 40005])).
% 9.54/7.04 tff(40297,plain,
% 9.54/7.04 (xuntil6(s274) | (~until5(s274))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11888, 36, 40296])).
% 9.54/7.04 tff(40298,plain,
% 9.54/7.04 (xuntil6(s274)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40297, 40295])).
% 9.54/7.04 tff(40299,plain,
% 9.54/7.04 (until5(s275)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11894, 40298])).
% 9.54/7.04 tff(40300,plain,
% 9.54/7.04 (~node4(s275)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11898, 22, 40004])).
% 9.54/7.04 tff(40301,plain,
% 9.54/7.04 (xuntil6(s275) | (~until5(s275))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11905, 36, 40300])).
% 9.54/7.04 tff(40302,plain,
% 9.54/7.04 (xuntil6(s275)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40301, 40299])).
% 9.54/7.04 tff(40303,plain,
% 9.54/7.04 (until5(s276)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11911, 40302])).
% 9.54/7.04 tff(40304,plain,
% 9.54/7.04 (~node4(s276)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11915, 22, 40003])).
% 9.54/7.04 tff(40305,plain,
% 9.54/7.04 (xuntil6(s276) | (~until5(s276))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11922, 36, 40304])).
% 9.54/7.04 tff(40306,plain,
% 9.54/7.04 (xuntil6(s276)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40305, 40303])).
% 9.54/7.04 tff(40307,plain,
% 9.54/7.04 (until5(s277)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11928, 40306])).
% 9.54/7.04 tff(40308,plain,
% 9.54/7.04 (~node4(s277)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11932, 22, 40002])).
% 9.54/7.04 tff(40309,plain,
% 9.54/7.04 (xuntil6(s277) | (~until5(s277))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11939, 36, 40308])).
% 9.54/7.04 tff(40310,plain,
% 9.54/7.04 (xuntil6(s277)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40309, 40307])).
% 9.54/7.04 tff(40311,plain,
% 9.54/7.04 (until5(s278)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11945, 40310])).
% 9.54/7.04 tff(40312,plain,
% 9.54/7.04 (~node4(s278)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11949, 22, 40001])).
% 9.54/7.04 tff(40313,plain,
% 9.54/7.04 (xuntil6(s278) | (~until5(s278))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11956, 36, 40312])).
% 9.54/7.04 tff(40314,plain,
% 9.54/7.04 (xuntil6(s278)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40313, 40311])).
% 9.54/7.04 tff(40315,plain,
% 9.54/7.04 (until5(s279)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11962, 40314])).
% 9.54/7.04 tff(40316,plain,
% 9.54/7.04 (~node4(s279)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11966, 22, 40000])).
% 9.54/7.04 tff(40317,plain,
% 9.54/7.04 (xuntil6(s279) | (~until5(s279))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11973, 36, 40316])).
% 9.54/7.04 tff(40318,plain,
% 9.54/7.04 (xuntil6(s279)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40317, 40315])).
% 9.54/7.04 tff(40319,plain,
% 9.54/7.04 (until5(s280)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11979, 40318])).
% 9.54/7.04 tff(40320,plain,
% 9.54/7.04 (~node4(s280)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11983, 22, 39999])).
% 9.54/7.04 tff(40321,plain,
% 9.54/7.04 (xuntil6(s280) | (~until5(s280))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11990, 36, 40320])).
% 9.54/7.04 tff(40322,plain,
% 9.54/7.04 (xuntil6(s280)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40321, 40319])).
% 9.54/7.04 tff(40323,plain,
% 9.54/7.04 (until5(s281)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[11996, 40322])).
% 9.54/7.04 tff(40324,plain,
% 9.54/7.04 (~node4(s281)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12000, 22, 39998])).
% 9.54/7.04 tff(40325,plain,
% 9.54/7.04 (xuntil6(s281) | (~until5(s281))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12007, 36, 40324])).
% 9.54/7.04 tff(40326,plain,
% 9.54/7.04 (xuntil6(s281)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40325, 40323])).
% 9.54/7.04 tff(40327,plain,
% 9.54/7.04 (until5(s282)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12013, 40326])).
% 9.54/7.04 tff(40328,plain,
% 9.54/7.04 (~node4(s282)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12017, 22, 39997])).
% 9.54/7.04 tff(40329,plain,
% 9.54/7.04 (xuntil6(s282) | (~until5(s282))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12024, 36, 40328])).
% 9.54/7.04 tff(40330,plain,
% 9.54/7.04 (xuntil6(s282)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40329, 40327])).
% 9.54/7.04 tff(40331,plain,
% 9.54/7.04 (until5(s283)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12030, 40330])).
% 9.54/7.04 tff(40332,plain,
% 9.54/7.04 (~node4(s283)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12034, 22, 39996])).
% 9.54/7.04 tff(40333,plain,
% 9.54/7.04 (xuntil6(s283) | (~until5(s283))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12041, 36, 40332])).
% 9.54/7.04 tff(40334,plain,
% 9.54/7.04 (xuntil6(s283)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40333, 40331])).
% 9.54/7.04 tff(40335,plain,
% 9.54/7.04 (until5(s284)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12047, 40334])).
% 9.54/7.04 tff(40336,plain,
% 9.54/7.04 (~node4(s284)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12051, 22, 39995])).
% 9.54/7.04 tff(40337,plain,
% 9.54/7.04 (xuntil6(s284) | (~until5(s284))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12058, 36, 40336])).
% 9.54/7.04 tff(40338,plain,
% 9.54/7.04 (xuntil6(s284)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40337, 40335])).
% 9.54/7.04 tff(40339,plain,
% 9.54/7.04 (until5(s285)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12064, 40338])).
% 9.54/7.04 tff(40340,plain,
% 9.54/7.04 (~node4(s285)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12068, 22, 39994])).
% 9.54/7.04 tff(40341,plain,
% 9.54/7.04 (xuntil6(s285) | (~until5(s285))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12075, 36, 40340])).
% 9.54/7.04 tff(40342,plain,
% 9.54/7.04 (xuntil6(s285)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40341, 40339])).
% 9.54/7.04 tff(40343,plain,
% 9.54/7.04 (until5(s286)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12081, 40342])).
% 9.54/7.04 tff(40344,plain,
% 9.54/7.04 (~node4(s286)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12085, 22, 39993])).
% 9.54/7.04 tff(40345,plain,
% 9.54/7.04 (xuntil6(s286) | (~until5(s286))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12092, 36, 40344])).
% 9.54/7.04 tff(40346,plain,
% 9.54/7.04 (xuntil6(s286)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40345, 40343])).
% 9.54/7.04 tff(40347,plain,
% 9.54/7.04 (until5(s287)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12098, 40346])).
% 9.54/7.04 tff(40348,plain,
% 9.54/7.04 (~node4(s287)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12102, 22, 39992])).
% 9.54/7.04 tff(40349,plain,
% 9.54/7.04 (xuntil6(s287) | (~until5(s287))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12109, 36, 40348])).
% 9.54/7.04 tff(40350,plain,
% 9.54/7.04 (xuntil6(s287)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40349, 40347])).
% 9.54/7.04 tff(40351,plain,
% 9.54/7.04 (until5(s288)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12115, 40350])).
% 9.54/7.04 tff(40352,plain,
% 9.54/7.04 (~node4(s288)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12119, 22, 39991])).
% 9.54/7.04 tff(40353,plain,
% 9.54/7.04 (xuntil6(s288) | (~until5(s288))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12126, 36, 40352])).
% 9.54/7.04 tff(40354,plain,
% 9.54/7.04 (xuntil6(s288)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40353, 40351])).
% 9.54/7.04 tff(40355,plain,
% 9.54/7.04 (until5(s289)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12132, 40354])).
% 9.54/7.04 tff(40356,plain,
% 9.54/7.04 (~node4(s289)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12136, 22, 39990])).
% 9.54/7.04 tff(40357,plain,
% 9.54/7.04 (xuntil6(s289) | (~until5(s289))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12143, 36, 40356])).
% 9.54/7.04 tff(40358,plain,
% 9.54/7.04 (xuntil6(s289)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40357, 40355])).
% 9.54/7.04 tff(40359,plain,
% 9.54/7.04 (until5(s290)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12149, 40358])).
% 9.54/7.04 tff(40360,plain,
% 9.54/7.04 (~node4(s290)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12153, 22, 39989])).
% 9.54/7.04 tff(40361,plain,
% 9.54/7.04 (xuntil6(s290) | (~until5(s290))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12160, 36, 40360])).
% 9.54/7.04 tff(40362,plain,
% 9.54/7.04 (xuntil6(s290)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40361, 40359])).
% 9.54/7.04 tff(40363,plain,
% 9.54/7.04 (until5(s291)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12166, 40362])).
% 9.54/7.04 tff(40364,plain,
% 9.54/7.04 (~node4(s291)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12170, 22, 39988])).
% 9.54/7.04 tff(40365,plain,
% 9.54/7.04 (xuntil6(s291) | (~until5(s291))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12177, 36, 40364])).
% 9.54/7.04 tff(40366,plain,
% 9.54/7.04 (xuntil6(s291)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40365, 40363])).
% 9.54/7.04 tff(40367,plain,
% 9.54/7.04 (until5(s292)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12183, 40366])).
% 9.54/7.04 tff(40368,plain,
% 9.54/7.04 (~node4(s292)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12187, 22, 39987])).
% 9.54/7.04 tff(40369,plain,
% 9.54/7.04 (xuntil6(s292) | (~until5(s292))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12194, 36, 40368])).
% 9.54/7.04 tff(40370,plain,
% 9.54/7.04 (xuntil6(s292)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40369, 40367])).
% 9.54/7.04 tff(40371,plain,
% 9.54/7.04 (until5(s293)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12200, 40370])).
% 9.54/7.04 tff(40372,plain,
% 9.54/7.04 (~node4(s293)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12204, 22, 39986])).
% 9.54/7.04 tff(40373,plain,
% 9.54/7.04 (xuntil6(s293) | (~until5(s293))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12211, 36, 40372])).
% 9.54/7.04 tff(40374,plain,
% 9.54/7.04 (xuntil6(s293)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40373, 40371])).
% 9.54/7.04 tff(40375,plain,
% 9.54/7.04 (until5(s294)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12217, 40374])).
% 9.54/7.04 tff(40376,plain,
% 9.54/7.04 (~node4(s294)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12221, 22, 39985])).
% 9.54/7.04 tff(40377,plain,
% 9.54/7.04 (xuntil6(s294) | (~until5(s294))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12228, 36, 40376])).
% 9.54/7.04 tff(40378,plain,
% 9.54/7.04 (xuntil6(s294)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40377, 40375])).
% 9.54/7.04 tff(40379,plain,
% 9.54/7.04 (until5(s295)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12234, 40378])).
% 9.54/7.04 tff(40380,plain,
% 9.54/7.04 (~node4(s295)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12238, 22, 39984])).
% 9.54/7.04 tff(40381,plain,
% 9.54/7.04 (xuntil6(s295) | (~until5(s295))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12245, 36, 40380])).
% 9.54/7.04 tff(40382,plain,
% 9.54/7.04 (xuntil6(s295)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40381, 40379])).
% 9.54/7.04 tff(40383,plain,
% 9.54/7.04 (until5(s296)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12251, 40382])).
% 9.54/7.04 tff(40384,plain,
% 9.54/7.04 (~node4(s296)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12255, 22, 39983])).
% 9.54/7.04 tff(40385,plain,
% 9.54/7.04 (xuntil6(s296) | (~until5(s296))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12262, 36, 40384])).
% 9.54/7.04 tff(40386,plain,
% 9.54/7.04 (xuntil6(s296)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40385, 40383])).
% 9.54/7.04 tff(40387,plain,
% 9.54/7.04 (until5(s297)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12268, 40386])).
% 9.54/7.04 tff(40388,plain,
% 9.54/7.04 (~node4(s297)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12272, 22, 39982])).
% 9.54/7.04 tff(40389,plain,
% 9.54/7.04 (xuntil6(s297) | (~until5(s297))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12279, 36, 40388])).
% 9.54/7.04 tff(40390,plain,
% 9.54/7.04 (xuntil6(s297)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40389, 40387])).
% 9.54/7.04 tff(40391,plain,
% 9.54/7.04 (until5(s298)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12285, 40390])).
% 9.54/7.04 tff(40392,plain,
% 9.54/7.04 (~node4(s298)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12289, 22, 39981])).
% 9.54/7.04 tff(40393,plain,
% 9.54/7.04 (xuntil6(s298) | (~until5(s298))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12296, 36, 40392])).
% 9.54/7.04 tff(40394,plain,
% 9.54/7.04 (xuntil6(s298)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40393, 40391])).
% 9.54/7.04 tff(40395,plain,
% 9.54/7.04 (until5(s299)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12302, 40394])).
% 9.54/7.04 tff(40396,plain,
% 9.54/7.04 (~node4(s299)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12306, 22, 39980])).
% 9.54/7.04 tff(40397,plain,
% 9.54/7.04 (xuntil6(s299) | (~until5(s299))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12313, 36, 40396])).
% 9.54/7.04 tff(40398,plain,
% 9.54/7.04 (xuntil6(s299)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40397, 40395])).
% 9.54/7.04 tff(40399,plain,
% 9.54/7.04 (until5(s300)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12319, 40398])).
% 9.54/7.04 tff(40400,plain,
% 9.54/7.04 (~node4(s300)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12323, 22, 39979])).
% 9.54/7.04 tff(40401,plain,
% 9.54/7.04 (xuntil6(s300) | (~until5(s300))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12330, 36, 40400])).
% 9.54/7.04 tff(40402,plain,
% 9.54/7.04 (xuntil6(s300)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40401, 40399])).
% 9.54/7.04 tff(40403,plain,
% 9.54/7.04 (until5(s301)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12336, 40402])).
% 9.54/7.04 tff(40404,plain,
% 9.54/7.04 (~node4(s301)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12340, 22, 39978])).
% 9.54/7.04 tff(40405,plain,
% 9.54/7.04 (xuntil6(s301) | (~until5(s301))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12347, 36, 40404])).
% 9.54/7.04 tff(40406,plain,
% 9.54/7.04 (xuntil6(s301)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40405, 40403])).
% 9.54/7.04 tff(40407,plain,
% 9.54/7.04 (until5(s302)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12353, 40406])).
% 9.54/7.04 tff(40408,plain,
% 9.54/7.04 (~node4(s302)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12357, 22, 39977])).
% 9.54/7.04 tff(40409,plain,
% 9.54/7.04 (xuntil6(s302) | (~until5(s302))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12364, 36, 40408])).
% 9.54/7.04 tff(40410,plain,
% 9.54/7.04 (xuntil6(s302)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40409, 40407])).
% 9.54/7.04 tff(40411,plain,
% 9.54/7.04 (until5(s303)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12370, 40410])).
% 9.54/7.04 tff(40412,plain,
% 9.54/7.04 (~node4(s303)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12374, 22, 39976])).
% 9.54/7.04 tff(40413,plain,
% 9.54/7.04 (xuntil6(s303) | (~until5(s303))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12381, 36, 40412])).
% 9.54/7.04 tff(40414,plain,
% 9.54/7.04 (xuntil6(s303)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40413, 40411])).
% 9.54/7.04 tff(40415,plain,
% 9.54/7.04 (until5(s304)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12387, 40414])).
% 9.54/7.04 tff(40416,plain,
% 9.54/7.04 (~node4(s304)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12391, 22, 39975])).
% 9.54/7.04 tff(40417,plain,
% 9.54/7.04 (xuntil6(s304) | (~until5(s304))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12398, 36, 40416])).
% 9.54/7.04 tff(40418,plain,
% 9.54/7.04 (xuntil6(s304)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40417, 40415])).
% 9.54/7.04 tff(40419,plain,
% 9.54/7.04 (until5(s305)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12404, 40418])).
% 9.54/7.04 tff(40420,plain,
% 9.54/7.04 (~node4(s305)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12408, 22, 39974])).
% 9.54/7.04 tff(40421,plain,
% 9.54/7.04 (xuntil6(s305) | (~until5(s305))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12415, 36, 40420])).
% 9.54/7.04 tff(40422,plain,
% 9.54/7.04 (xuntil6(s305)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40421, 40419])).
% 9.54/7.04 tff(40423,plain,
% 9.54/7.04 (until5(s306)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12421, 40422])).
% 9.54/7.04 tff(40424,plain,
% 9.54/7.04 (~node4(s306)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12425, 22, 39973])).
% 9.54/7.04 tff(40425,plain,
% 9.54/7.04 (xuntil6(s306) | (~until5(s306))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12432, 36, 40424])).
% 9.54/7.04 tff(40426,plain,
% 9.54/7.04 (xuntil6(s306)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40425, 40423])).
% 9.54/7.04 tff(40427,plain,
% 9.54/7.04 (until5(s307)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12438, 40426])).
% 9.54/7.04 tff(40428,plain,
% 9.54/7.04 (~node4(s307)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12442, 22, 39972])).
% 9.54/7.04 tff(40429,plain,
% 9.54/7.04 (xuntil6(s307) | (~until5(s307))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12449, 36, 40428])).
% 9.54/7.04 tff(40430,plain,
% 9.54/7.04 (xuntil6(s307)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40429, 40427])).
% 9.54/7.04 tff(40431,plain,
% 9.54/7.04 (until5(s308)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12455, 40430])).
% 9.54/7.04 tff(40432,plain,
% 9.54/7.04 (~node4(s308)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12459, 22, 39971])).
% 9.54/7.04 tff(40433,plain,
% 9.54/7.04 (xuntil6(s308) | (~until5(s308))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12466, 36, 40432])).
% 9.54/7.04 tff(40434,plain,
% 9.54/7.04 (xuntil6(s308)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40433, 40431])).
% 9.54/7.04 tff(40435,plain,
% 9.54/7.04 (until5(s309)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12472, 40434])).
% 9.54/7.04 tff(40436,plain,
% 9.54/7.04 (~node4(s309)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12476, 22, 39970])).
% 9.54/7.04 tff(40437,plain,
% 9.54/7.04 (xuntil6(s309) | (~until5(s309))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12483, 36, 40436])).
% 9.54/7.04 tff(40438,plain,
% 9.54/7.04 (xuntil6(s309)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40437, 40435])).
% 9.54/7.04 tff(40439,plain,
% 9.54/7.04 (until5(s310)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12489, 40438])).
% 9.54/7.04 tff(40440,plain,
% 9.54/7.04 (~node4(s310)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12493, 22, 39969])).
% 9.54/7.04 tff(40441,plain,
% 9.54/7.04 (xuntil6(s310) | (~until5(s310))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12500, 36, 40440])).
% 9.54/7.04 tff(40442,plain,
% 9.54/7.04 (xuntil6(s310)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40441, 40439])).
% 9.54/7.04 tff(40443,plain,
% 9.54/7.04 (until5(s311)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12506, 40442])).
% 9.54/7.04 tff(40444,assumption,(~xuntil6(s311)), introduced(assumption)).
% 9.54/7.04 tff(40445,plain,
% 9.54/7.04 (node4(s311) | (~until5(s311))),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12517, 36, 40444])).
% 9.54/7.04 tff(40446,plain,
% 9.54/7.04 (node4(s311)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40445, 40443])).
% 9.54/7.04 tff(40447,plain,
% 9.54/7.04 ($false),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[12510, 22, 39968, 40446])).
% 9.54/7.04 tff(40448,plain,(always3(s311) | xuntil6(s311) | node4(s253) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.54/7.04 tff(40449,plain,
% 9.54/7.04 (always3(s311)),
% 9.54/7.04 inference(unit_resolution,[status(thm)],[40448, 39967, 6320, 38911])).
% 9.54/7.05 tff(40450,plain,
% 9.54/7.05 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s311)) | (~m_main_v_state(s311, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s311)) | (~m_main_v_state(s311, c_busy)))),
% 9.54/7.05 inference(rewrite,[status(thm)],[])).
% 9.54/7.05 tff(40451,plain,
% 9.54/7.05 (((~m_main_v_state(s311, c_busy)) | (~always3(s311))) <=> ((~always3(s311)) | (~m_main_v_state(s311, c_busy)))),
% 9.54/7.05 inference(rewrite,[status(thm)],[])).
% 9.54/7.05 tff(40452,plain,
% 9.54/7.05 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s311, c_busy)) | (~always3(s311)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s311)) | (~m_main_v_state(s311, c_busy))))),
% 9.54/7.05 inference(monotonicity,[status(thm)],[40451])).
% 9.54/7.05 tff(40453,plain,
% 9.54/7.05 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s311, c_busy)) | (~always3(s311)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s311)) | (~m_main_v_state(s311, c_busy)))),
% 9.54/7.05 inference(transitivity,[status(thm)],[40452, 40450])).
% 9.54/7.05 tff(40454,plain,
% 9.54/7.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s311, c_busy)) | (~always3(s311)))),
% 9.54/7.05 inference(quant_inst,[status(thm)],[])).
% 9.54/7.05 tff(40455,plain,
% 9.54/7.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s311)) | (~m_main_v_state(s311, c_busy))),
% 9.54/7.05 inference(modus_ponens,[status(thm)],[40454, 40453])).
% 9.54/7.05 tff(40456,plain,
% 9.54/7.05 (~m_main_v_state(s311, c_busy)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40455, 170, 40449])).
% 9.54/7.05 tff(40457,plain,
% 9.54/7.05 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s311, c_busy) | m_main_v_state(s311, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s311, c_busy) | m_main_v_state(s311, c_ready))),
% 9.54/7.05 inference(rewrite,[status(thm)],[])).
% 9.54/7.05 tff(40458,plain,
% 9.54/7.05 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s311, c_busy) | m_main_v_state(s311, c_ready))),
% 9.54/7.05 inference(quant_inst,[status(thm)],[])).
% 9.54/7.05 tff(40459,plain,
% 9.54/7.05 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s311, c_busy) | m_main_v_state(s311, c_ready)),
% 9.54/7.05 inference(modus_ponens,[status(thm)],[40458, 40457])).
% 9.54/7.05 tff(40460,plain,
% 9.54/7.05 (m_main_v_state(s311, c_ready)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40459, 213, 40456])).
% 9.54/7.05 tff(40461,plain,
% 9.54/7.05 (~node4(s288)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12119, 22, 38875])).
% 9.54/7.05 tff(40462,plain,
% 9.54/7.05 (~node4(s289)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12136, 22, 38874])).
% 9.54/7.05 tff(40463,assumption,(~xuntil6(s289)), introduced(assumption)).
% 9.54/7.05 tff(40464,plain,
% 9.54/7.05 (node4(s289) | (~until5(s289))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12143, 36, 40463])).
% 9.54/7.05 tff(40465,plain,
% 9.54/7.05 (~until5(s289)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40464, 40462])).
% 9.54/7.05 tff(40466,plain,
% 9.54/7.05 (~xuntil6(s288)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12132, 40465])).
% 9.54/7.05 tff(40467,plain,
% 9.54/7.05 (~until5(s288)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12126, 36, 40466, 40461])).
% 9.54/7.05 tff(40468,plain,
% 9.54/7.05 (~xuntil6(s287)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12115, 40467])).
% 9.54/7.05 tff(40469,plain,
% 9.54/7.05 (~node4(s287)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12102, 22, 38876])).
% 9.54/7.05 tff(40470,plain,
% 9.54/7.05 (xuntil6(s287) | (~until5(s287))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12109, 36, 40469])).
% 9.54/7.05 tff(40471,plain,
% 9.54/7.05 (~until5(s287)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40470, 40468])).
% 9.54/7.05 tff(40472,plain,
% 9.54/7.05 (~xuntil6(s286)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12098, 40471])).
% 9.54/7.05 tff(40473,plain,
% 9.54/7.05 (~node4(s286)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12085, 22, 38877])).
% 9.54/7.05 tff(40474,plain,
% 9.54/7.05 (xuntil6(s286) | (~until5(s286))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12092, 36, 40473])).
% 9.54/7.05 tff(40475,plain,
% 9.54/7.05 (~until5(s286)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40474, 40472])).
% 9.54/7.05 tff(40476,plain,
% 9.54/7.05 (~xuntil6(s285)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12081, 40475])).
% 9.54/7.05 tff(40477,plain,
% 9.54/7.05 (~node4(s285)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12068, 22, 38878])).
% 9.54/7.05 tff(40478,plain,
% 9.54/7.05 (xuntil6(s285) | (~until5(s285))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12075, 36, 40477])).
% 9.54/7.05 tff(40479,plain,
% 9.54/7.05 (~until5(s285)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40478, 40476])).
% 9.54/7.05 tff(40480,plain,
% 9.54/7.05 (~xuntil6(s284)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12064, 40479])).
% 9.54/7.05 tff(40481,plain,
% 9.54/7.05 (~node4(s284)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12051, 22, 38879])).
% 9.54/7.05 tff(40482,plain,
% 9.54/7.05 (xuntil6(s284) | (~until5(s284))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12058, 36, 40481])).
% 9.54/7.05 tff(40483,plain,
% 9.54/7.05 (~until5(s284)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40482, 40480])).
% 9.54/7.05 tff(40484,plain,
% 9.54/7.05 (~xuntil6(s283)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12047, 40483])).
% 9.54/7.05 tff(40485,plain,
% 9.54/7.05 (~node4(s283)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12034, 22, 38880])).
% 9.54/7.05 tff(40486,plain,
% 9.54/7.05 (xuntil6(s283) | (~until5(s283))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12041, 36, 40485])).
% 9.54/7.05 tff(40487,plain,
% 9.54/7.05 (~until5(s283)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40486, 40484])).
% 9.54/7.05 tff(40488,plain,
% 9.54/7.05 (~xuntil6(s282)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12030, 40487])).
% 9.54/7.05 tff(40489,plain,
% 9.54/7.05 (~node4(s282)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12017, 22, 38881])).
% 9.54/7.05 tff(40490,plain,
% 9.54/7.05 (xuntil6(s282) | (~until5(s282))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12024, 36, 40489])).
% 9.54/7.05 tff(40491,plain,
% 9.54/7.05 (~until5(s282)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40490, 40488])).
% 9.54/7.05 tff(40492,plain,
% 9.54/7.05 (~xuntil6(s281)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12013, 40491])).
% 9.54/7.05 tff(40493,plain,
% 9.54/7.05 (~node4(s281)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12000, 22, 38882])).
% 9.54/7.05 tff(40494,plain,
% 9.54/7.05 (xuntil6(s281) | (~until5(s281))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12007, 36, 40493])).
% 9.54/7.05 tff(40495,plain,
% 9.54/7.05 (~until5(s281)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40494, 40492])).
% 9.54/7.05 tff(40496,plain,
% 9.54/7.05 (~xuntil6(s280)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11996, 40495])).
% 9.54/7.05 tff(40497,plain,
% 9.54/7.05 (~node4(s280)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11983, 22, 38883])).
% 9.54/7.05 tff(40498,plain,
% 9.54/7.05 (xuntil6(s280) | (~until5(s280))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11990, 36, 40497])).
% 9.54/7.05 tff(40499,plain,
% 9.54/7.05 (~until5(s280)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40498, 40496])).
% 9.54/7.05 tff(40500,plain,
% 9.54/7.05 (~xuntil6(s279)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11979, 40499])).
% 9.54/7.05 tff(40501,plain,
% 9.54/7.05 (~node4(s279)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11966, 22, 38884])).
% 9.54/7.05 tff(40502,plain,
% 9.54/7.05 (xuntil6(s279) | (~until5(s279))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11973, 36, 40501])).
% 9.54/7.05 tff(40503,plain,
% 9.54/7.05 (~until5(s279)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40502, 40500])).
% 9.54/7.05 tff(40504,plain,
% 9.54/7.05 (~xuntil6(s278)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11962, 40503])).
% 9.54/7.05 tff(40505,plain,
% 9.54/7.05 (~node4(s278)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11949, 22, 38885])).
% 9.54/7.05 tff(40506,plain,
% 9.54/7.05 (xuntil6(s278) | (~until5(s278))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11956, 36, 40505])).
% 9.54/7.05 tff(40507,plain,
% 9.54/7.05 (~until5(s278)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40506, 40504])).
% 9.54/7.05 tff(40508,plain,
% 9.54/7.05 (~xuntil6(s277)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11945, 40507])).
% 9.54/7.05 tff(40509,plain,
% 9.54/7.05 (~node4(s277)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11932, 22, 38886])).
% 9.54/7.05 tff(40510,plain,
% 9.54/7.05 (xuntil6(s277) | (~until5(s277))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11939, 36, 40509])).
% 9.54/7.05 tff(40511,plain,
% 9.54/7.05 (~until5(s277)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40510, 40508])).
% 9.54/7.05 tff(40512,plain,
% 9.54/7.05 (~xuntil6(s276)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11928, 40511])).
% 9.54/7.05 tff(40513,plain,
% 9.54/7.05 (~node4(s276)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11915, 22, 38887])).
% 9.54/7.05 tff(40514,plain,
% 9.54/7.05 (xuntil6(s276) | (~until5(s276))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11922, 36, 40513])).
% 9.54/7.05 tff(40515,plain,
% 9.54/7.05 (~until5(s276)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40514, 40512])).
% 9.54/7.05 tff(40516,plain,
% 9.54/7.05 (~xuntil6(s275)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11911, 40515])).
% 9.54/7.05 tff(40517,plain,
% 9.54/7.05 (~node4(s275)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11898, 22, 38888])).
% 9.54/7.05 tff(40518,plain,
% 9.54/7.05 (xuntil6(s275) | (~until5(s275))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11905, 36, 40517])).
% 9.54/7.05 tff(40519,plain,
% 9.54/7.05 (~until5(s275)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40518, 40516])).
% 9.54/7.05 tff(40520,plain,
% 9.54/7.05 (~xuntil6(s274)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11894, 40519])).
% 9.54/7.05 tff(40521,plain,
% 9.54/7.05 (~node4(s274)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11881, 22, 38889])).
% 9.54/7.05 tff(40522,plain,
% 9.54/7.05 (xuntil6(s274) | (~until5(s274))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11888, 36, 40521])).
% 9.54/7.05 tff(40523,plain,
% 9.54/7.05 (~until5(s274)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40522, 40520])).
% 9.54/7.05 tff(40524,plain,
% 9.54/7.05 (~xuntil6(s273)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11877, 40523])).
% 9.54/7.05 tff(40525,plain,
% 9.54/7.05 (~node4(s273)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11864, 22, 38890])).
% 9.54/7.05 tff(40526,plain,
% 9.54/7.05 (xuntil6(s273) | (~until5(s273))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11871, 36, 40525])).
% 9.54/7.05 tff(40527,plain,
% 9.54/7.05 (~until5(s273)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40526, 40524])).
% 9.54/7.05 tff(40528,plain,
% 9.54/7.05 (~xuntil6(s272)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11860, 40527])).
% 9.54/7.05 tff(40529,plain,
% 9.54/7.05 (~node4(s272)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11847, 22, 38891])).
% 9.54/7.05 tff(40530,plain,
% 9.54/7.05 (xuntil6(s272) | (~until5(s272))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11854, 36, 40529])).
% 9.54/7.05 tff(40531,plain,
% 9.54/7.05 (~until5(s272)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40530, 40528])).
% 9.54/7.05 tff(40532,plain,
% 9.54/7.05 (~xuntil6(s271)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11843, 40531])).
% 9.54/7.05 tff(40533,plain,
% 9.54/7.05 (~node4(s271)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11830, 22, 38892])).
% 9.54/7.05 tff(40534,plain,
% 9.54/7.05 (xuntil6(s271) | (~until5(s271))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11837, 36, 40533])).
% 9.54/7.05 tff(40535,plain,
% 9.54/7.05 (~until5(s271)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40534, 40532])).
% 9.54/7.05 tff(40536,plain,
% 9.54/7.05 (~xuntil6(s270)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11826, 40535])).
% 9.54/7.05 tff(40537,plain,
% 9.54/7.05 (~node4(s270)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11813, 22, 38893])).
% 9.54/7.05 tff(40538,plain,
% 9.54/7.05 (xuntil6(s270) | (~until5(s270))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11820, 36, 40537])).
% 9.54/7.05 tff(40539,plain,
% 9.54/7.05 (~until5(s270)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40538, 40536])).
% 9.54/7.05 tff(40540,plain,
% 9.54/7.05 (~xuntil6(s269)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11809, 40539])).
% 9.54/7.05 tff(40541,plain,
% 9.54/7.05 (~node4(s269)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11796, 22, 38894])).
% 9.54/7.05 tff(40542,plain,
% 9.54/7.05 (xuntil6(s269) | (~until5(s269))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11803, 36, 40541])).
% 9.54/7.05 tff(40543,plain,
% 9.54/7.05 (~until5(s269)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40542, 40540])).
% 9.54/7.05 tff(40544,plain,
% 9.54/7.05 (~xuntil6(s268)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11792, 40543])).
% 9.54/7.05 tff(40545,plain,
% 9.54/7.05 (~node4(s268)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11779, 22, 38895])).
% 9.54/7.05 tff(40546,plain,
% 9.54/7.05 (xuntil6(s268) | (~until5(s268))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11786, 36, 40545])).
% 9.54/7.05 tff(40547,plain,
% 9.54/7.05 (~until5(s268)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40546, 40544])).
% 9.54/7.05 tff(40548,plain,
% 9.54/7.05 (~xuntil6(s267)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11775, 40547])).
% 9.54/7.05 tff(40549,plain,
% 9.54/7.05 (~node4(s267)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11762, 22, 38896])).
% 9.54/7.05 tff(40550,plain,
% 9.54/7.05 (xuntil6(s267) | (~until5(s267))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11769, 36, 40549])).
% 9.54/7.05 tff(40551,plain,
% 9.54/7.05 (~until5(s267)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40550, 40548])).
% 9.54/7.05 tff(40552,plain,
% 9.54/7.05 (~xuntil6(s266)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11758, 40551])).
% 9.54/7.05 tff(40553,plain,
% 9.54/7.05 (~node4(s266)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11745, 22, 38897])).
% 9.54/7.05 tff(40554,plain,
% 9.54/7.05 (xuntil6(s266) | (~until5(s266))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11752, 36, 40553])).
% 9.54/7.05 tff(40555,plain,
% 9.54/7.05 (~until5(s266)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40554, 40552])).
% 9.54/7.05 tff(40556,plain,
% 9.54/7.05 (~xuntil6(s265)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11741, 40555])).
% 9.54/7.05 tff(40557,plain,
% 9.54/7.05 (~node4(s265)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11728, 22, 38898])).
% 9.54/7.05 tff(40558,plain,
% 9.54/7.05 (xuntil6(s265) | (~until5(s265))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11735, 36, 40557])).
% 9.54/7.05 tff(40559,plain,
% 9.54/7.05 (~until5(s265)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40558, 40556])).
% 9.54/7.05 tff(40560,plain,
% 9.54/7.05 (~xuntil6(s264)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11724, 40559])).
% 9.54/7.05 tff(40561,plain,
% 9.54/7.05 (~node4(s264)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11711, 22, 38899])).
% 9.54/7.05 tff(40562,plain,
% 9.54/7.05 (xuntil6(s264) | (~until5(s264))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11718, 36, 40561])).
% 9.54/7.05 tff(40563,plain,
% 9.54/7.05 (~until5(s264)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40562, 40560])).
% 9.54/7.05 tff(40564,plain,
% 9.54/7.05 (~xuntil6(s263)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11707, 40563])).
% 9.54/7.05 tff(40565,plain,
% 9.54/7.05 (~node4(s263)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11694, 22, 38900])).
% 9.54/7.05 tff(40566,plain,
% 9.54/7.05 (xuntil6(s263) | (~until5(s263))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11701, 36, 40565])).
% 9.54/7.05 tff(40567,plain,
% 9.54/7.05 (~until5(s263)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40566, 40564])).
% 9.54/7.05 tff(40568,plain,
% 9.54/7.05 (~xuntil6(s262)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11690, 40567])).
% 9.54/7.05 tff(40569,plain,
% 9.54/7.05 (~node4(s262)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11677, 22, 38901])).
% 9.54/7.05 tff(40570,plain,
% 9.54/7.05 (xuntil6(s262) | (~until5(s262))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11684, 36, 40569])).
% 9.54/7.05 tff(40571,plain,
% 9.54/7.05 (~until5(s262)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40570, 40568])).
% 9.54/7.05 tff(40572,plain,
% 9.54/7.05 (~xuntil6(s261)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11673, 40571])).
% 9.54/7.05 tff(40573,plain,
% 9.54/7.05 (~node4(s261)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11660, 22, 38902])).
% 9.54/7.05 tff(40574,plain,
% 9.54/7.05 (xuntil6(s261) | (~until5(s261))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11667, 36, 40573])).
% 9.54/7.05 tff(40575,plain,
% 9.54/7.05 (~until5(s261)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40574, 40572])).
% 9.54/7.05 tff(40576,plain,
% 9.54/7.05 (~xuntil6(s260)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11656, 40575])).
% 9.54/7.05 tff(40577,plain,
% 9.54/7.05 (~node4(s260)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11643, 22, 38903])).
% 9.54/7.05 tff(40578,plain,
% 9.54/7.05 (xuntil6(s260) | (~until5(s260))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11650, 36, 40577])).
% 9.54/7.05 tff(40579,plain,
% 9.54/7.05 (~until5(s260)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40578, 40576])).
% 9.54/7.05 tff(40580,plain,
% 9.54/7.05 (~xuntil6(s259)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11639, 40579])).
% 9.54/7.05 tff(40581,plain,
% 9.54/7.05 (~node4(s259)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11626, 22, 38904])).
% 9.54/7.05 tff(40582,plain,
% 9.54/7.05 (xuntil6(s259) | (~until5(s259))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11633, 36, 40581])).
% 9.54/7.05 tff(40583,plain,
% 9.54/7.05 (~until5(s259)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40582, 40580])).
% 9.54/7.05 tff(40584,plain,
% 9.54/7.05 (~xuntil6(s258)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11622, 40583])).
% 9.54/7.05 tff(40585,plain,
% 9.54/7.05 (~node4(s258)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11609, 22, 38905])).
% 9.54/7.05 tff(40586,plain,
% 9.54/7.05 (xuntil6(s258) | (~until5(s258))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11616, 36, 40585])).
% 9.54/7.05 tff(40587,plain,
% 9.54/7.05 (~until5(s258)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40586, 40584])).
% 9.54/7.05 tff(40588,plain,
% 9.54/7.05 (~xuntil6(s257)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11605, 40587])).
% 9.54/7.05 tff(40589,plain,
% 9.54/7.05 (~node4(s257)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11592, 22, 38906])).
% 9.54/7.05 tff(40590,plain,
% 9.54/7.05 (xuntil6(s257) | (~until5(s257))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11599, 36, 40589])).
% 9.54/7.05 tff(40591,plain,
% 9.54/7.05 (~until5(s257)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40590, 40588])).
% 9.54/7.05 tff(40592,plain,
% 9.54/7.05 (~xuntil6(s256)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11588, 40591])).
% 9.54/7.05 tff(40593,plain,
% 9.54/7.05 (~node4(s256)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11575, 22, 38907])).
% 9.54/7.05 tff(40594,plain,
% 9.54/7.05 (xuntil6(s256) | (~until5(s256))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11582, 36, 40593])).
% 9.54/7.05 tff(40595,plain,
% 9.54/7.05 (~until5(s256)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40594, 40592])).
% 9.54/7.05 tff(40596,plain,
% 9.54/7.05 (~xuntil6(s255)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11571, 40595])).
% 9.54/7.05 tff(40597,plain,
% 9.54/7.05 (~node4(s255)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11558, 22, 38908])).
% 9.54/7.05 tff(40598,plain,
% 9.54/7.05 (xuntil6(s255) | (~until5(s255))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11565, 36, 40597])).
% 9.54/7.05 tff(40599,plain,
% 9.54/7.05 (~until5(s255)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40598, 40596])).
% 9.54/7.05 tff(40600,plain,
% 9.54/7.05 (~xuntil6(s254)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11554, 40599])).
% 9.54/7.05 tff(40601,plain,
% 9.54/7.05 (~node4(s254)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11541, 22, 38909])).
% 9.54/7.05 tff(40602,plain,
% 9.54/7.05 (xuntil6(s254) | (~until5(s254))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11548, 36, 40601])).
% 9.54/7.05 tff(40603,plain,
% 9.54/7.05 (~until5(s254)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40602, 40600])).
% 9.54/7.05 tff(40604,plain,
% 9.54/7.05 (~xuntil6(s253)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11537, 40603])).
% 9.54/7.05 tff(40605,plain,
% 9.54/7.05 (~until5(s253)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11532, 40604])).
% 9.54/7.05 tff(40606,plain,
% 9.54/7.05 (~always3(s252)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5878, 38910])).
% 9.54/7.05 tff(40607,plain,
% 9.54/7.05 (~always3(s251)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5890, 40606])).
% 9.54/7.05 tff(40608,plain,
% 9.54/7.05 (~always3(s250)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5902, 40607])).
% 9.54/7.05 tff(40609,plain,
% 9.54/7.05 (~always3(s249)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5914, 40608])).
% 9.54/7.05 tff(40610,plain,
% 9.54/7.05 (~always3(s248)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5926, 40609])).
% 9.54/7.05 tff(40611,plain,
% 9.54/7.05 (~always3(s247)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5938, 40610])).
% 9.54/7.05 tff(40612,plain,
% 9.54/7.05 (~always3(s246)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5950, 40611])).
% 9.54/7.05 tff(40613,plain,
% 9.54/7.05 (~always3(s245)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5962, 40612])).
% 9.54/7.05 tff(40614,plain,
% 9.54/7.05 (~always3(s244)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5974, 40613])).
% 9.54/7.05 tff(40615,plain,
% 9.54/7.05 (~always3(s243)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5986, 40614])).
% 9.54/7.05 tff(40616,plain,
% 9.54/7.05 (~always3(s242)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5998, 40615])).
% 9.54/7.05 tff(40617,plain,
% 9.54/7.05 (~always3(s241)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6010, 40616])).
% 9.54/7.05 tff(40618,plain,
% 9.54/7.05 (~always3(s240)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6022, 40617])).
% 9.54/7.05 tff(40619,plain,
% 9.54/7.05 (~always3(s239)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6034, 40618])).
% 9.54/7.05 tff(40620,plain,
% 9.54/7.05 (~always3(s238)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6046, 40619])).
% 9.54/7.05 tff(40621,plain,
% 9.54/7.05 (~always3(s237)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6058, 40620])).
% 9.54/7.05 tff(40622,plain,
% 9.54/7.05 (~always3(s236)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6070, 40621])).
% 9.54/7.05 tff(40623,plain,
% 9.54/7.05 (~always3(s235)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6082, 40622])).
% 9.54/7.05 tff(40624,plain,
% 9.54/7.05 (~always3(s234)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6094, 40623])).
% 9.54/7.05 tff(40625,plain,
% 9.54/7.05 (~always3(s233)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6106, 40624])).
% 9.54/7.05 tff(40626,plain,
% 9.54/7.05 (~always3(s232)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6118, 40625])).
% 9.54/7.05 tff(40627,plain,
% 9.54/7.05 (~always3(s231)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6130, 40626])).
% 9.54/7.05 tff(40628,plain,
% 9.54/7.05 (~always3(s230)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6142, 40627])).
% 9.54/7.05 tff(40629,plain,
% 9.54/7.05 (~always3(s229)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6154, 40628])).
% 9.54/7.05 tff(40630,plain,
% 9.54/7.05 (~always3(s228)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6166, 40629])).
% 9.54/7.05 tff(40631,plain,
% 9.54/7.05 (~always3(s227)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6178, 40630])).
% 9.54/7.05 tff(40632,plain,
% 9.54/7.05 (~always3(s226)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6190, 40631])).
% 9.54/7.05 tff(40633,plain,
% 9.54/7.05 (~always3(s225)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6202, 40632])).
% 9.54/7.05 tff(40634,plain,
% 9.54/7.05 (~always3(s224)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6214, 40633])).
% 9.54/7.05 tff(40635,plain,
% 9.54/7.05 (~always3(s223)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6226, 40634])).
% 9.54/7.05 tff(40636,plain,
% 9.54/7.05 (~always3(s222)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6238, 40635])).
% 9.54/7.05 tff(40637,plain,
% 9.54/7.05 (~always3(s221)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6250, 40636])).
% 9.54/7.05 tff(40638,plain,
% 9.54/7.05 (~always3(s220)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6262, 40637])).
% 9.54/7.05 tff(40639,plain,
% 9.54/7.05 (~always3(s219)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6274, 40638])).
% 9.54/7.05 tff(40640,plain,
% 9.54/7.05 (~always3(s218)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6286, 40639])).
% 9.54/7.05 tff(40641,plain,
% 9.54/7.05 (~always3(s217)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6298, 40640])).
% 9.54/7.05 tff(40642,plain,
% 9.54/7.05 (~node4(s217)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6302, 22, 40641])).
% 9.54/7.05 tff(40643,plain,
% 9.54/7.05 (~always3(s216)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6314, 40641])).
% 9.54/7.05 tff(40644,plain,
% 9.54/7.05 (~node4(s216)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6318, 22, 40643])).
% 9.54/7.05 tff(40645,plain,
% 9.54/7.05 (~always3(s215)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[6331, 40643])).
% 9.54/7.05 tff(40646,plain,
% 9.54/7.05 (xuntil6(s215)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[10898, 40645, 6320])).
% 9.54/7.05 tff(40647,plain,
% 9.54/7.05 (until5(s216)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[10903, 40646])).
% 9.54/7.05 tff(40648,plain,
% 9.54/7.05 (xuntil6(s216) | node4(s216)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[10910, 36, 40647])).
% 9.54/7.05 tff(40649,plain,
% 9.54/7.05 (xuntil6(s216)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40648, 40644])).
% 9.54/7.05 tff(40650,plain,
% 9.54/7.05 (until5(s217)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[10916, 40649])).
% 9.54/7.05 tff(40651,plain,
% 9.54/7.05 (xuntil6(s217)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[10923, 36, 40650, 40642])).
% 9.54/7.05 tff(40652,plain,
% 9.54/7.05 (until5(s218)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[10928, 40651])).
% 9.54/7.05 tff(40653,plain,
% 9.54/7.05 (~node4(s218)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[10932, 22, 40640])).
% 9.54/7.05 tff(40654,plain,
% 9.54/7.05 (xuntil6(s218) | (~until5(s218))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[10939, 36, 40653])).
% 9.54/7.05 tff(40655,plain,
% 9.54/7.05 (xuntil6(s218)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40654, 40652])).
% 9.54/7.05 tff(40656,plain,
% 9.54/7.05 (until5(s219)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[10945, 40655])).
% 9.54/7.05 tff(40657,plain,
% 9.54/7.05 (~node4(s219)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[10949, 22, 40639])).
% 9.54/7.05 tff(40658,plain,
% 9.54/7.05 (xuntil6(s219) | (~until5(s219))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[10956, 36, 40657])).
% 9.54/7.05 tff(40659,plain,
% 9.54/7.05 (xuntil6(s219)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40658, 40656])).
% 9.54/7.05 tff(40660,plain,
% 9.54/7.05 (until5(s220)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[10962, 40659])).
% 9.54/7.05 tff(40661,plain,
% 9.54/7.05 (~node4(s220)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[10966, 22, 40638])).
% 9.54/7.05 tff(40662,plain,
% 9.54/7.05 (xuntil6(s220) | (~until5(s220))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[10973, 36, 40661])).
% 9.54/7.05 tff(40663,plain,
% 9.54/7.05 (xuntil6(s220)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40662, 40660])).
% 9.54/7.05 tff(40664,plain,
% 9.54/7.05 (until5(s221)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[10979, 40663])).
% 9.54/7.05 tff(40665,plain,
% 9.54/7.05 (~node4(s221)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[10983, 22, 40637])).
% 9.54/7.05 tff(40666,plain,
% 9.54/7.05 (xuntil6(s221) | (~until5(s221))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[10990, 36, 40665])).
% 9.54/7.05 tff(40667,plain,
% 9.54/7.05 (xuntil6(s221)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40666, 40664])).
% 9.54/7.05 tff(40668,plain,
% 9.54/7.05 (until5(s222)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[10996, 40667])).
% 9.54/7.05 tff(40669,plain,
% 9.54/7.05 (~node4(s222)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11000, 22, 40636])).
% 9.54/7.05 tff(40670,plain,
% 9.54/7.05 (xuntil6(s222) | (~until5(s222))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11007, 36, 40669])).
% 9.54/7.05 tff(40671,plain,
% 9.54/7.05 (xuntil6(s222)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40670, 40668])).
% 9.54/7.05 tff(40672,plain,
% 9.54/7.05 (until5(s223)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11013, 40671])).
% 9.54/7.05 tff(40673,plain,
% 9.54/7.05 (~node4(s223)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11017, 22, 40635])).
% 9.54/7.05 tff(40674,plain,
% 9.54/7.05 (xuntil6(s223) | (~until5(s223))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11024, 36, 40673])).
% 9.54/7.05 tff(40675,plain,
% 9.54/7.05 (xuntil6(s223)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40674, 40672])).
% 9.54/7.05 tff(40676,plain,
% 9.54/7.05 (until5(s224)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11030, 40675])).
% 9.54/7.05 tff(40677,plain,
% 9.54/7.05 (~node4(s224)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11034, 22, 40634])).
% 9.54/7.05 tff(40678,plain,
% 9.54/7.05 (xuntil6(s224) | (~until5(s224))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11041, 36, 40677])).
% 9.54/7.05 tff(40679,plain,
% 9.54/7.05 (xuntil6(s224)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40678, 40676])).
% 9.54/7.05 tff(40680,plain,
% 9.54/7.05 (until5(s225)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11047, 40679])).
% 9.54/7.05 tff(40681,plain,
% 9.54/7.05 (~node4(s225)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11051, 22, 40633])).
% 9.54/7.05 tff(40682,plain,
% 9.54/7.05 (xuntil6(s225) | (~until5(s225))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11058, 36, 40681])).
% 9.54/7.05 tff(40683,plain,
% 9.54/7.05 (xuntil6(s225)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40682, 40680])).
% 9.54/7.05 tff(40684,plain,
% 9.54/7.05 (until5(s226)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11064, 40683])).
% 9.54/7.05 tff(40685,plain,
% 9.54/7.05 (~node4(s226)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11068, 22, 40632])).
% 9.54/7.05 tff(40686,plain,
% 9.54/7.05 (xuntil6(s226) | (~until5(s226))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11075, 36, 40685])).
% 9.54/7.05 tff(40687,plain,
% 9.54/7.05 (xuntil6(s226)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40686, 40684])).
% 9.54/7.05 tff(40688,plain,
% 9.54/7.05 (until5(s227)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11081, 40687])).
% 9.54/7.05 tff(40689,plain,
% 9.54/7.05 (~node4(s227)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11085, 22, 40631])).
% 9.54/7.05 tff(40690,plain,
% 9.54/7.05 (xuntil6(s227) | (~until5(s227))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11092, 36, 40689])).
% 9.54/7.05 tff(40691,plain,
% 9.54/7.05 (xuntil6(s227)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40690, 40688])).
% 9.54/7.05 tff(40692,plain,
% 9.54/7.05 (until5(s228)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11098, 40691])).
% 9.54/7.05 tff(40693,plain,
% 9.54/7.05 (~node4(s228)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11102, 22, 40630])).
% 9.54/7.05 tff(40694,plain,
% 9.54/7.05 (xuntil6(s228) | (~until5(s228))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11109, 36, 40693])).
% 9.54/7.05 tff(40695,plain,
% 9.54/7.05 (xuntil6(s228)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40694, 40692])).
% 9.54/7.05 tff(40696,plain,
% 9.54/7.05 (until5(s229)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11115, 40695])).
% 9.54/7.05 tff(40697,plain,
% 9.54/7.05 (~node4(s229)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11119, 22, 40629])).
% 9.54/7.05 tff(40698,plain,
% 9.54/7.05 (xuntil6(s229) | (~until5(s229))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11126, 36, 40697])).
% 9.54/7.05 tff(40699,plain,
% 9.54/7.05 (xuntil6(s229)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40698, 40696])).
% 9.54/7.05 tff(40700,plain,
% 9.54/7.05 (until5(s230)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11132, 40699])).
% 9.54/7.05 tff(40701,plain,
% 9.54/7.05 (~node4(s230)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11136, 22, 40628])).
% 9.54/7.05 tff(40702,plain,
% 9.54/7.05 (xuntil6(s230) | (~until5(s230))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11143, 36, 40701])).
% 9.54/7.05 tff(40703,plain,
% 9.54/7.05 (xuntil6(s230)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40702, 40700])).
% 9.54/7.05 tff(40704,plain,
% 9.54/7.05 (until5(s231)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11149, 40703])).
% 9.54/7.05 tff(40705,plain,
% 9.54/7.05 (~node4(s231)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11153, 22, 40627])).
% 9.54/7.05 tff(40706,plain,
% 9.54/7.05 (xuntil6(s231) | (~until5(s231))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11160, 36, 40705])).
% 9.54/7.05 tff(40707,plain,
% 9.54/7.05 (xuntil6(s231)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40706, 40704])).
% 9.54/7.05 tff(40708,plain,
% 9.54/7.05 (until5(s232)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11166, 40707])).
% 9.54/7.05 tff(40709,plain,
% 9.54/7.05 (~node4(s232)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11170, 22, 40626])).
% 9.54/7.05 tff(40710,plain,
% 9.54/7.05 (xuntil6(s232) | (~until5(s232))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11177, 36, 40709])).
% 9.54/7.05 tff(40711,plain,
% 9.54/7.05 (xuntil6(s232)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40710, 40708])).
% 9.54/7.05 tff(40712,plain,
% 9.54/7.05 (until5(s233)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11183, 40711])).
% 9.54/7.05 tff(40713,plain,
% 9.54/7.05 (~node4(s233)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11187, 22, 40625])).
% 9.54/7.05 tff(40714,plain,
% 9.54/7.05 (xuntil6(s233) | (~until5(s233))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11194, 36, 40713])).
% 9.54/7.05 tff(40715,plain,
% 9.54/7.05 (xuntil6(s233)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40714, 40712])).
% 9.54/7.05 tff(40716,plain,
% 9.54/7.05 (until5(s234)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11200, 40715])).
% 9.54/7.05 tff(40717,plain,
% 9.54/7.05 (~node4(s234)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11204, 22, 40624])).
% 9.54/7.05 tff(40718,plain,
% 9.54/7.05 (xuntil6(s234) | (~until5(s234))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11211, 36, 40717])).
% 9.54/7.05 tff(40719,plain,
% 9.54/7.05 (xuntil6(s234)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40718, 40716])).
% 9.54/7.05 tff(40720,plain,
% 9.54/7.05 (until5(s235)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11217, 40719])).
% 9.54/7.05 tff(40721,plain,
% 9.54/7.05 (~node4(s235)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11221, 22, 40623])).
% 9.54/7.05 tff(40722,plain,
% 9.54/7.05 (xuntil6(s235) | (~until5(s235))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11228, 36, 40721])).
% 9.54/7.05 tff(40723,plain,
% 9.54/7.05 (xuntil6(s235)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40722, 40720])).
% 9.54/7.05 tff(40724,plain,
% 9.54/7.05 (until5(s236)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11234, 40723])).
% 9.54/7.05 tff(40725,plain,
% 9.54/7.05 (~node4(s236)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11238, 22, 40622])).
% 9.54/7.05 tff(40726,plain,
% 9.54/7.05 (xuntil6(s236) | (~until5(s236))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11245, 36, 40725])).
% 9.54/7.05 tff(40727,plain,
% 9.54/7.05 (xuntil6(s236)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40726, 40724])).
% 9.54/7.05 tff(40728,plain,
% 9.54/7.05 (until5(s237)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11251, 40727])).
% 9.54/7.05 tff(40729,plain,
% 9.54/7.05 (~node4(s237)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11255, 22, 40621])).
% 9.54/7.05 tff(40730,plain,
% 9.54/7.05 (xuntil6(s237) | (~until5(s237))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11262, 36, 40729])).
% 9.54/7.05 tff(40731,plain,
% 9.54/7.05 (xuntil6(s237)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40730, 40728])).
% 9.54/7.05 tff(40732,plain,
% 9.54/7.05 (until5(s238)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11268, 40731])).
% 9.54/7.05 tff(40733,plain,
% 9.54/7.05 (~node4(s238)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11272, 22, 40620])).
% 9.54/7.05 tff(40734,plain,
% 9.54/7.05 (xuntil6(s238) | (~until5(s238))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11279, 36, 40733])).
% 9.54/7.05 tff(40735,plain,
% 9.54/7.05 (xuntil6(s238)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40734, 40732])).
% 9.54/7.05 tff(40736,plain,
% 9.54/7.05 (until5(s239)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11285, 40735])).
% 9.54/7.05 tff(40737,plain,
% 9.54/7.05 (~node4(s239)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11289, 22, 40619])).
% 9.54/7.05 tff(40738,plain,
% 9.54/7.05 (xuntil6(s239) | (~until5(s239))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11296, 36, 40737])).
% 9.54/7.05 tff(40739,plain,
% 9.54/7.05 (xuntil6(s239)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40738, 40736])).
% 9.54/7.05 tff(40740,plain,
% 9.54/7.05 (until5(s240)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11302, 40739])).
% 9.54/7.05 tff(40741,plain,
% 9.54/7.05 (~node4(s240)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11306, 22, 40618])).
% 9.54/7.05 tff(40742,plain,
% 9.54/7.05 (xuntil6(s240) | (~until5(s240))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11313, 36, 40741])).
% 9.54/7.05 tff(40743,plain,
% 9.54/7.05 (xuntil6(s240)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40742, 40740])).
% 9.54/7.05 tff(40744,plain,
% 9.54/7.05 (until5(s241)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11319, 40743])).
% 9.54/7.05 tff(40745,plain,
% 9.54/7.05 (~node4(s241)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11323, 22, 40617])).
% 9.54/7.05 tff(40746,plain,
% 9.54/7.05 (xuntil6(s241) | (~until5(s241))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11330, 36, 40745])).
% 9.54/7.05 tff(40747,plain,
% 9.54/7.05 (xuntil6(s241)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40746, 40744])).
% 9.54/7.05 tff(40748,plain,
% 9.54/7.05 (until5(s242)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11336, 40747])).
% 9.54/7.05 tff(40749,plain,
% 9.54/7.05 (~node4(s242)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11340, 22, 40616])).
% 9.54/7.05 tff(40750,plain,
% 9.54/7.05 (xuntil6(s242) | (~until5(s242))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11347, 36, 40749])).
% 9.54/7.05 tff(40751,plain,
% 9.54/7.05 (xuntil6(s242)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40750, 40748])).
% 9.54/7.05 tff(40752,plain,
% 9.54/7.05 (until5(s243)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11353, 40751])).
% 9.54/7.05 tff(40753,plain,
% 9.54/7.05 (~node4(s243)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11357, 22, 40615])).
% 9.54/7.05 tff(40754,plain,
% 9.54/7.05 (xuntil6(s243) | (~until5(s243))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11364, 36, 40753])).
% 9.54/7.05 tff(40755,plain,
% 9.54/7.05 (xuntil6(s243)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40754, 40752])).
% 9.54/7.05 tff(40756,plain,
% 9.54/7.05 (until5(s244)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11370, 40755])).
% 9.54/7.05 tff(40757,plain,
% 9.54/7.05 (~node4(s244)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11374, 22, 40614])).
% 9.54/7.05 tff(40758,plain,
% 9.54/7.05 (xuntil6(s244) | (~until5(s244))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11381, 36, 40757])).
% 9.54/7.05 tff(40759,plain,
% 9.54/7.05 (xuntil6(s244)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40758, 40756])).
% 9.54/7.05 tff(40760,plain,
% 9.54/7.05 (until5(s245)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11387, 40759])).
% 9.54/7.05 tff(40761,plain,
% 9.54/7.05 (~node4(s245)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11391, 22, 40613])).
% 9.54/7.05 tff(40762,plain,
% 9.54/7.05 (xuntil6(s245) | (~until5(s245))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11398, 36, 40761])).
% 9.54/7.05 tff(40763,plain,
% 9.54/7.05 (xuntil6(s245)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40762, 40760])).
% 9.54/7.05 tff(40764,plain,
% 9.54/7.05 (until5(s246)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11404, 40763])).
% 9.54/7.05 tff(40765,plain,
% 9.54/7.05 (~node4(s246)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11408, 22, 40612])).
% 9.54/7.05 tff(40766,plain,
% 9.54/7.05 (xuntil6(s246) | (~until5(s246))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11415, 36, 40765])).
% 9.54/7.05 tff(40767,plain,
% 9.54/7.05 (xuntil6(s246)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40766, 40764])).
% 9.54/7.05 tff(40768,plain,
% 9.54/7.05 (until5(s247)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11421, 40767])).
% 9.54/7.05 tff(40769,plain,
% 9.54/7.05 (~node4(s247)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11425, 22, 40611])).
% 9.54/7.05 tff(40770,plain,
% 9.54/7.05 (xuntil6(s247) | (~until5(s247))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11432, 36, 40769])).
% 9.54/7.05 tff(40771,plain,
% 9.54/7.05 (xuntil6(s247)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40770, 40768])).
% 9.54/7.05 tff(40772,plain,
% 9.54/7.05 (until5(s248)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11438, 40771])).
% 9.54/7.05 tff(40773,plain,
% 9.54/7.05 (~node4(s248)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11442, 22, 40610])).
% 9.54/7.05 tff(40774,plain,
% 9.54/7.05 (xuntil6(s248) | (~until5(s248))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11449, 36, 40773])).
% 9.54/7.05 tff(40775,plain,
% 9.54/7.05 (xuntil6(s248)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40774, 40772])).
% 9.54/7.05 tff(40776,plain,
% 9.54/7.05 (until5(s249)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11455, 40775])).
% 9.54/7.05 tff(40777,plain,
% 9.54/7.05 (~node4(s249)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11459, 22, 40609])).
% 9.54/7.05 tff(40778,plain,
% 9.54/7.05 (xuntil6(s249) | (~until5(s249))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11466, 36, 40777])).
% 9.54/7.05 tff(40779,plain,
% 9.54/7.05 (xuntil6(s249)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40778, 40776])).
% 9.54/7.05 tff(40780,plain,
% 9.54/7.05 (until5(s250)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11472, 40779])).
% 9.54/7.05 tff(40781,plain,
% 9.54/7.05 (~node4(s250)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11476, 22, 40608])).
% 9.54/7.05 tff(40782,plain,
% 9.54/7.05 (xuntil6(s250) | (~until5(s250))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11483, 36, 40781])).
% 9.54/7.05 tff(40783,plain,
% 9.54/7.05 (xuntil6(s250)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40782, 40780])).
% 9.54/7.05 tff(40784,plain,
% 9.54/7.05 (until5(s251)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11489, 40783])).
% 9.54/7.05 tff(40785,plain,
% 9.54/7.05 (~node4(s251)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11493, 22, 40607])).
% 9.54/7.05 tff(40786,plain,
% 9.54/7.05 (xuntil6(s251) | (~until5(s251))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11500, 36, 40785])).
% 9.54/7.05 tff(40787,plain,
% 9.54/7.05 (xuntil6(s251)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40786, 40784])).
% 9.54/7.05 tff(40788,plain,
% 9.54/7.05 (until5(s252)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11506, 40787])).
% 9.54/7.05 tff(40789,plain,
% 9.54/7.05 (~node4(s252)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11510, 22, 40606])).
% 9.54/7.05 tff(40790,plain,
% 9.54/7.05 (xuntil6(s252) | (~until5(s252))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11517, 36, 40789])).
% 9.54/7.05 tff(40791,plain,
% 9.54/7.05 (xuntil6(s252)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40790, 40788])).
% 9.54/7.05 tff(40792,plain,
% 9.54/7.05 ($false),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[11523, 40791, 40605])).
% 9.54/7.05 tff(40793,plain,(always3(s289) | node4(s253) | xuntil6(s289) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.54/7.05 tff(40794,plain,
% 9.54/7.05 (xuntil6(s289)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40793, 38911, 6320, 38874])).
% 9.54/7.05 tff(40795,plain,
% 9.54/7.05 (until5(s290)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12149, 40794])).
% 9.54/7.05 tff(40796,assumption,(~xuntil6(s310)), introduced(assumption)).
% 9.54/7.05 tff(40797,assumption,(until5(s290)), introduced(assumption)).
% 9.54/7.05 tff(40798,assumption,(~always3(s310)), introduced(assumption)).
% 9.54/7.05 tff(40799,plain,
% 9.54/7.05 (~always3(s309)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5205, 40798])).
% 9.54/7.05 tff(40800,plain,
% 9.54/7.05 (~always3(s308)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5217, 40799])).
% 9.54/7.05 tff(40801,plain,
% 9.54/7.05 (~always3(s307)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5229, 40800])).
% 9.54/7.05 tff(40802,plain,
% 9.54/7.05 (~always3(s306)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5241, 40801])).
% 9.54/7.05 tff(40803,plain,
% 9.54/7.05 (~always3(s305)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5253, 40802])).
% 9.54/7.05 tff(40804,plain,
% 9.54/7.05 (~always3(s304)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5265, 40803])).
% 9.54/7.05 tff(40805,plain,
% 9.54/7.05 (~always3(s303)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5277, 40804])).
% 9.54/7.05 tff(40806,plain,
% 9.54/7.05 (~always3(s302)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5289, 40805])).
% 9.54/7.05 tff(40807,plain,
% 9.54/7.05 (~always3(s301)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5301, 40806])).
% 9.54/7.05 tff(40808,plain,
% 9.54/7.05 (~always3(s300)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5313, 40807])).
% 9.54/7.05 tff(40809,plain,
% 9.54/7.05 (~always3(s299)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5325, 40808])).
% 9.54/7.05 tff(40810,plain,
% 9.54/7.05 (~always3(s298)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5337, 40809])).
% 9.54/7.05 tff(40811,plain,
% 9.54/7.05 (~always3(s297)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5349, 40810])).
% 9.54/7.05 tff(40812,plain,
% 9.54/7.05 (~always3(s296)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5361, 40811])).
% 9.54/7.05 tff(40813,plain,
% 9.54/7.05 (~always3(s295)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5373, 40812])).
% 9.54/7.05 tff(40814,plain,
% 9.54/7.05 (~always3(s294)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5385, 40813])).
% 9.54/7.05 tff(40815,plain,
% 9.54/7.05 (~always3(s293)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5397, 40814])).
% 9.54/7.05 tff(40816,plain,
% 9.54/7.05 (~always3(s292)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5409, 40815])).
% 9.54/7.05 tff(40817,plain,
% 9.54/7.05 (~always3(s291)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5421, 40816])).
% 9.54/7.05 tff(40818,plain,
% 9.54/7.05 (~node4(s291)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12170, 22, 40817])).
% 9.54/7.05 tff(40819,plain,
% 9.54/7.05 (~always3(s290)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5433, 40817])).
% 9.54/7.05 tff(40820,plain,
% 9.54/7.05 (~node4(s290)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12153, 22, 40819])).
% 9.54/7.05 tff(40821,plain,
% 9.54/7.05 (xuntil6(s290) | node4(s290)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12160, 36, 40797])).
% 9.54/7.05 tff(40822,plain,
% 9.54/7.05 (xuntil6(s290)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40821, 40820])).
% 9.54/7.05 tff(40823,plain,
% 9.54/7.05 (until5(s291)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12166, 40822])).
% 9.54/7.05 tff(40824,plain,
% 9.54/7.05 (xuntil6(s291)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12177, 36, 40823, 40818])).
% 9.54/7.05 tff(40825,plain,
% 9.54/7.05 (until5(s292)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12183, 40824])).
% 9.54/7.05 tff(40826,plain,
% 9.54/7.05 (~node4(s292)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12187, 22, 40816])).
% 9.54/7.05 tff(40827,plain,
% 9.54/7.05 (xuntil6(s292) | (~until5(s292))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12194, 36, 40826])).
% 9.54/7.05 tff(40828,plain,
% 9.54/7.05 (xuntil6(s292)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40827, 40825])).
% 9.54/7.05 tff(40829,plain,
% 9.54/7.05 (until5(s293)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12200, 40828])).
% 9.54/7.05 tff(40830,plain,
% 9.54/7.05 (~node4(s293)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12204, 22, 40815])).
% 9.54/7.05 tff(40831,plain,
% 9.54/7.05 (xuntil6(s293) | (~until5(s293))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12211, 36, 40830])).
% 9.54/7.05 tff(40832,plain,
% 9.54/7.05 (xuntil6(s293)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40831, 40829])).
% 9.54/7.05 tff(40833,plain,
% 9.54/7.05 (until5(s294)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12217, 40832])).
% 9.54/7.05 tff(40834,plain,
% 9.54/7.05 (~node4(s294)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12221, 22, 40814])).
% 9.54/7.05 tff(40835,plain,
% 9.54/7.05 (xuntil6(s294) | (~until5(s294))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12228, 36, 40834])).
% 9.54/7.05 tff(40836,plain,
% 9.54/7.05 (xuntil6(s294)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40835, 40833])).
% 9.54/7.05 tff(40837,plain,
% 9.54/7.05 (until5(s295)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12234, 40836])).
% 9.54/7.05 tff(40838,plain,
% 9.54/7.05 (~node4(s295)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12238, 22, 40813])).
% 9.54/7.05 tff(40839,plain,
% 9.54/7.05 (xuntil6(s295) | (~until5(s295))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12245, 36, 40838])).
% 9.54/7.05 tff(40840,plain,
% 9.54/7.05 (xuntil6(s295)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40839, 40837])).
% 9.54/7.05 tff(40841,plain,
% 9.54/7.05 (until5(s296)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12251, 40840])).
% 9.54/7.05 tff(40842,plain,
% 9.54/7.05 (~node4(s296)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12255, 22, 40812])).
% 9.54/7.05 tff(40843,plain,
% 9.54/7.05 (xuntil6(s296) | (~until5(s296))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12262, 36, 40842])).
% 9.54/7.05 tff(40844,plain,
% 9.54/7.05 (xuntil6(s296)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40843, 40841])).
% 9.54/7.05 tff(40845,plain,
% 9.54/7.05 (until5(s297)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12268, 40844])).
% 9.54/7.05 tff(40846,plain,
% 9.54/7.05 (~node4(s297)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12272, 22, 40811])).
% 9.54/7.05 tff(40847,plain,
% 9.54/7.05 (xuntil6(s297) | (~until5(s297))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12279, 36, 40846])).
% 9.54/7.05 tff(40848,plain,
% 9.54/7.05 (xuntil6(s297)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40847, 40845])).
% 9.54/7.05 tff(40849,plain,
% 9.54/7.05 (until5(s298)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12285, 40848])).
% 9.54/7.05 tff(40850,plain,
% 9.54/7.05 (~node4(s298)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12289, 22, 40810])).
% 9.54/7.05 tff(40851,plain,
% 9.54/7.05 (xuntil6(s298) | (~until5(s298))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12296, 36, 40850])).
% 9.54/7.05 tff(40852,plain,
% 9.54/7.05 (xuntil6(s298)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40851, 40849])).
% 9.54/7.05 tff(40853,plain,
% 9.54/7.05 (until5(s299)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12302, 40852])).
% 9.54/7.05 tff(40854,plain,
% 9.54/7.05 (~node4(s299)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12306, 22, 40809])).
% 9.54/7.05 tff(40855,plain,
% 9.54/7.05 (xuntil6(s299) | (~until5(s299))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12313, 36, 40854])).
% 9.54/7.05 tff(40856,plain,
% 9.54/7.05 (xuntil6(s299)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40855, 40853])).
% 9.54/7.05 tff(40857,plain,
% 9.54/7.05 (until5(s300)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12319, 40856])).
% 9.54/7.05 tff(40858,plain,
% 9.54/7.05 (~node4(s300)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12323, 22, 40808])).
% 9.54/7.05 tff(40859,plain,
% 9.54/7.05 (xuntil6(s300) | (~until5(s300))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12330, 36, 40858])).
% 9.54/7.05 tff(40860,plain,
% 9.54/7.05 (xuntil6(s300)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40859, 40857])).
% 9.54/7.05 tff(40861,plain,
% 9.54/7.05 (until5(s301)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12336, 40860])).
% 9.54/7.05 tff(40862,plain,
% 9.54/7.05 (~node4(s301)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12340, 22, 40807])).
% 9.54/7.05 tff(40863,plain,
% 9.54/7.05 (xuntil6(s301) | (~until5(s301))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12347, 36, 40862])).
% 9.54/7.05 tff(40864,plain,
% 9.54/7.05 (xuntil6(s301)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40863, 40861])).
% 9.54/7.05 tff(40865,plain,
% 9.54/7.05 (until5(s302)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12353, 40864])).
% 9.54/7.05 tff(40866,plain,
% 9.54/7.05 (~node4(s302)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12357, 22, 40806])).
% 9.54/7.05 tff(40867,plain,
% 9.54/7.05 (xuntil6(s302) | (~until5(s302))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12364, 36, 40866])).
% 9.54/7.05 tff(40868,plain,
% 9.54/7.05 (xuntil6(s302)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40867, 40865])).
% 9.54/7.05 tff(40869,plain,
% 9.54/7.05 (until5(s303)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12370, 40868])).
% 9.54/7.05 tff(40870,plain,
% 9.54/7.05 (~node4(s303)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12374, 22, 40805])).
% 9.54/7.05 tff(40871,plain,
% 9.54/7.05 (xuntil6(s303) | (~until5(s303))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12381, 36, 40870])).
% 9.54/7.05 tff(40872,plain,
% 9.54/7.05 (xuntil6(s303)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40871, 40869])).
% 9.54/7.05 tff(40873,plain,
% 9.54/7.05 (until5(s304)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12387, 40872])).
% 9.54/7.05 tff(40874,plain,
% 9.54/7.05 (~node4(s304)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12391, 22, 40804])).
% 9.54/7.05 tff(40875,plain,
% 9.54/7.05 (xuntil6(s304) | (~until5(s304))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12398, 36, 40874])).
% 9.54/7.05 tff(40876,plain,
% 9.54/7.05 (xuntil6(s304)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40875, 40873])).
% 9.54/7.05 tff(40877,plain,
% 9.54/7.05 (until5(s305)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12404, 40876])).
% 9.54/7.05 tff(40878,plain,
% 9.54/7.05 (~node4(s305)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12408, 22, 40803])).
% 9.54/7.05 tff(40879,plain,
% 9.54/7.05 (xuntil6(s305) | (~until5(s305))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12415, 36, 40878])).
% 9.54/7.05 tff(40880,plain,
% 9.54/7.05 (xuntil6(s305)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40879, 40877])).
% 9.54/7.05 tff(40881,plain,
% 9.54/7.05 (until5(s306)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12421, 40880])).
% 9.54/7.05 tff(40882,plain,
% 9.54/7.05 (~node4(s306)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12425, 22, 40802])).
% 9.54/7.05 tff(40883,plain,
% 9.54/7.05 (xuntil6(s306) | (~until5(s306))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12432, 36, 40882])).
% 9.54/7.05 tff(40884,plain,
% 9.54/7.05 (xuntil6(s306)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40883, 40881])).
% 9.54/7.05 tff(40885,plain,
% 9.54/7.05 (until5(s307)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12438, 40884])).
% 9.54/7.05 tff(40886,plain,
% 9.54/7.05 (~node4(s307)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12442, 22, 40801])).
% 9.54/7.05 tff(40887,plain,
% 9.54/7.05 (xuntil6(s307) | (~until5(s307))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12449, 36, 40886])).
% 9.54/7.05 tff(40888,plain,
% 9.54/7.05 (xuntil6(s307)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40887, 40885])).
% 9.54/7.05 tff(40889,plain,
% 9.54/7.05 (until5(s308)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12455, 40888])).
% 9.54/7.05 tff(40890,plain,
% 9.54/7.05 (~node4(s308)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12459, 22, 40800])).
% 9.54/7.05 tff(40891,plain,
% 9.54/7.05 (xuntil6(s308) | (~until5(s308))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12466, 36, 40890])).
% 9.54/7.05 tff(40892,plain,
% 9.54/7.05 (xuntil6(s308)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40891, 40889])).
% 9.54/7.05 tff(40893,plain,
% 9.54/7.05 (until5(s309)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12472, 40892])).
% 9.54/7.05 tff(40894,plain,
% 9.54/7.05 (~node4(s309)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12476, 22, 40799])).
% 9.54/7.05 tff(40895,plain,
% 9.54/7.05 (xuntil6(s309) | (~until5(s309))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12483, 36, 40894])).
% 9.54/7.05 tff(40896,plain,
% 9.54/7.05 (xuntil6(s309)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40895, 40893])).
% 9.54/7.05 tff(40897,plain,
% 9.54/7.05 (until5(s310)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12489, 40896])).
% 9.54/7.05 tff(40898,plain,
% 9.54/7.05 (node4(s310) | (~until5(s310))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12500, 36, 40796])).
% 9.54/7.05 tff(40899,plain,
% 9.54/7.05 (node4(s310)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40898, 40897])).
% 9.54/7.05 tff(40900,plain,
% 9.54/7.05 ($false),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12493, 22, 40798, 40899])).
% 9.54/7.05 tff(40901,plain,(always3(s310) | xuntil6(s310) | (~until5(s290))), inference(lemma,lemma(discharge,[]))).
% 9.54/7.05 tff(40902,plain,
% 9.54/7.05 (always3(s310)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40901, 40797, 40796])).
% 9.54/7.05 tff(40903,plain,
% 9.54/7.05 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s310)) | (~m_main_v_state(s310, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s310)) | (~m_main_v_state(s310, c_busy)))),
% 9.54/7.05 inference(rewrite,[status(thm)],[])).
% 9.54/7.05 tff(40904,plain,
% 9.54/7.05 (((~m_main_v_state(s310, c_busy)) | (~always3(s310))) <=> ((~always3(s310)) | (~m_main_v_state(s310, c_busy)))),
% 9.54/7.05 inference(rewrite,[status(thm)],[])).
% 9.54/7.05 tff(40905,plain,
% 9.54/7.05 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s310, c_busy)) | (~always3(s310)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s310)) | (~m_main_v_state(s310, c_busy))))),
% 9.54/7.05 inference(monotonicity,[status(thm)],[40904])).
% 9.54/7.05 tff(40906,plain,
% 9.54/7.05 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s310, c_busy)) | (~always3(s310)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s310)) | (~m_main_v_state(s310, c_busy)))),
% 9.54/7.05 inference(transitivity,[status(thm)],[40905, 40903])).
% 9.54/7.05 tff(40907,plain,
% 9.54/7.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s310, c_busy)) | (~always3(s310)))),
% 9.54/7.05 inference(quant_inst,[status(thm)],[])).
% 9.54/7.05 tff(40908,plain,
% 9.54/7.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s310)) | (~m_main_v_state(s310, c_busy))),
% 9.54/7.05 inference(modus_ponens,[status(thm)],[40907, 40906])).
% 9.54/7.05 tff(40909,plain,
% 9.54/7.05 (~m_main_v_state(s310, c_busy)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40908, 170, 40902])).
% 9.54/7.05 tff(40910,assumption,(~m_main_v_state(s311, c_busy)), introduced(assumption)).
% 9.54/7.05 tff(40911,plain,
% 9.54/7.05 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s310, c_busy) | m_main_v_state(s310, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s310, c_busy) | m_main_v_state(s310, c_ready))),
% 9.54/7.05 inference(rewrite,[status(thm)],[])).
% 9.54/7.05 tff(40912,plain,
% 9.54/7.05 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s310, c_busy) | m_main_v_state(s310, c_ready))),
% 9.54/7.05 inference(quant_inst,[status(thm)],[])).
% 9.54/7.05 tff(40913,plain,
% 9.54/7.05 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s310, c_busy) | m_main_v_state(s310, c_ready)),
% 9.54/7.05 inference(modus_ponens,[status(thm)],[40912, 40911])).
% 9.54/7.05 tff(40914,plain,
% 9.54/7.05 (m_main_v_state(s310, c_ready)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40913, 213, 40909])).
% 9.54/7.05 tff(40915,plain,
% 9.54/7.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s310, s311)) | node2(s310, s311))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s310, s311)) | node2(s310, s311))),
% 9.54/7.05 inference(rewrite,[status(thm)],[])).
% 9.54/7.05 tff(40916,plain,
% 9.54/7.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s310, s311)) | node2(s310, s311))),
% 9.54/7.05 inference(quant_inst,[status(thm)],[])).
% 9.54/7.05 tff(40917,plain,
% 9.54/7.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s310, s311)) | node2(s310, s311)),
% 9.54/7.05 inference(modus_ponens,[status(thm)],[40916, 40915])).
% 9.54/7.05 tff(40918,plain,
% 9.54/7.05 (node2(s310, s311)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40917, 7, 5189])).
% 9.54/7.05 tff(40919,plain,
% 9.54/7.05 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s310, c_ready)) | (~node2(s310, s311)) | m_main_v_state(s311, c_busy) | (~m_main_v_request(s310)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s310, c_ready)) | (~node2(s310, s311)) | m_main_v_state(s311, c_busy) | (~m_main_v_request(s310)))),
% 9.54/7.05 inference(rewrite,[status(thm)],[])).
% 9.54/7.05 tff(40920,plain,
% 9.54/7.05 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s310, c_ready)) | (~node2(s310, s311)) | m_main_v_state(s311, c_busy) | (~m_main_v_request(s310)))),
% 9.54/7.05 inference(quant_inst,[status(thm)],[])).
% 9.54/7.05 tff(40921,plain,
% 9.54/7.05 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s310, c_ready)) | (~node2(s310, s311)) | m_main_v_state(s311, c_busy) | (~m_main_v_request(s310))),
% 9.54/7.05 inference(modus_ponens,[status(thm)],[40920, 40919])).
% 9.54/7.05 tff(40922,plain,
% 9.54/7.05 ((~m_main_v_state(s310, c_ready)) | m_main_v_state(s311, c_busy) | (~m_main_v_request(s310))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40921, 191, 40918])).
% 9.54/7.05 tff(40923,plain,
% 9.54/7.05 (~m_main_v_request(s310)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40922, 40914, 40910])).
% 9.54/7.05 tff(40924,plain,
% 9.54/7.05 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s310) | (~node4(s310)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s310) | (~node4(s310)))),
% 9.54/7.05 inference(rewrite,[status(thm)],[])).
% 9.54/7.05 tff(40925,plain,
% 9.54/7.05 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s310) | (~node4(s310)))),
% 9.54/7.05 inference(quant_inst,[status(thm)],[])).
% 9.54/7.05 tff(40926,plain,
% 9.54/7.05 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s310) | (~node4(s310))),
% 9.54/7.05 inference(modus_ponens,[status(thm)],[40925, 40924])).
% 9.54/7.05 tff(40927,plain,
% 9.54/7.05 (~node4(s310)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40926, 154, 40923])).
% 9.54/7.05 tff(40928,plain,
% 9.54/7.05 (~until5(s310)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40898, 40927])).
% 9.54/7.05 tff(40929,plain,
% 9.54/7.05 (~xuntil6(s309)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12489, 40928])).
% 9.54/7.05 tff(40930,assumption,(~xuntil6(s309)), introduced(assumption)).
% 9.54/7.05 tff(40931,assumption,(until5(s306)), introduced(assumption)).
% 9.54/7.05 tff(40932,assumption,(~always3(s309)), introduced(assumption)).
% 9.54/7.05 tff(40933,plain,
% 9.54/7.05 (~always3(s308)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5217, 40932])).
% 9.54/7.05 tff(40934,plain,
% 9.54/7.05 (~always3(s307)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5229, 40933])).
% 9.54/7.05 tff(40935,plain,
% 9.54/7.05 (~node4(s307)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12442, 22, 40934])).
% 9.54/7.05 tff(40936,plain,
% 9.54/7.05 (~always3(s306)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[5241, 40934])).
% 9.54/7.05 tff(40937,plain,
% 9.54/7.05 (~node4(s306)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12425, 22, 40936])).
% 9.54/7.05 tff(40938,plain,
% 9.54/7.05 (xuntil6(s306) | node4(s306)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12432, 36, 40931])).
% 9.54/7.05 tff(40939,plain,
% 9.54/7.05 (xuntil6(s306)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40938, 40937])).
% 9.54/7.05 tff(40940,plain,
% 9.54/7.05 (until5(s307)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12438, 40939])).
% 9.54/7.05 tff(40941,plain,
% 9.54/7.05 (xuntil6(s307)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12449, 36, 40940, 40935])).
% 9.54/7.05 tff(40942,plain,
% 9.54/7.05 (until5(s308)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12455, 40941])).
% 9.54/7.05 tff(40943,plain,
% 9.54/7.05 (~node4(s308)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12459, 22, 40933])).
% 9.54/7.05 tff(40944,plain,
% 9.54/7.05 (xuntil6(s308) | (~until5(s308))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12466, 36, 40943])).
% 9.54/7.05 tff(40945,plain,
% 9.54/7.05 (xuntil6(s308)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40944, 40942])).
% 9.54/7.05 tff(40946,plain,
% 9.54/7.05 (until5(s309)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12472, 40945])).
% 9.54/7.05 tff(40947,plain,
% 9.54/7.05 (node4(s309) | (~until5(s309))),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12483, 36, 40930])).
% 9.54/7.05 tff(40948,plain,
% 9.54/7.05 (node4(s309)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40947, 40946])).
% 9.54/7.05 tff(40949,plain,
% 9.54/7.05 ($false),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[12476, 22, 40932, 40948])).
% 9.54/7.05 tff(40950,plain,(always3(s309) | xuntil6(s309) | (~until5(s306))), inference(lemma,lemma(discharge,[]))).
% 9.54/7.05 tff(40951,plain,
% 9.54/7.05 (always3(s309)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40950, 40931, 40930])).
% 9.54/7.05 tff(40952,plain,
% 9.54/7.05 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s309)) | (~m_main_v_state(s309, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s309)) | (~m_main_v_state(s309, c_busy)))),
% 9.54/7.05 inference(rewrite,[status(thm)],[])).
% 9.54/7.05 tff(40953,plain,
% 9.54/7.05 (((~m_main_v_state(s309, c_busy)) | (~always3(s309))) <=> ((~always3(s309)) | (~m_main_v_state(s309, c_busy)))),
% 9.54/7.05 inference(rewrite,[status(thm)],[])).
% 9.54/7.05 tff(40954,plain,
% 9.54/7.05 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s309, c_busy)) | (~always3(s309)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s309)) | (~m_main_v_state(s309, c_busy))))),
% 9.54/7.05 inference(monotonicity,[status(thm)],[40953])).
% 9.54/7.05 tff(40955,plain,
% 9.54/7.05 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s309, c_busy)) | (~always3(s309)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s309)) | (~m_main_v_state(s309, c_busy)))),
% 9.54/7.05 inference(transitivity,[status(thm)],[40954, 40952])).
% 9.54/7.05 tff(40956,plain,
% 9.54/7.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s309, c_busy)) | (~always3(s309)))),
% 9.54/7.05 inference(quant_inst,[status(thm)],[])).
% 9.54/7.05 tff(40957,plain,
% 9.54/7.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s309)) | (~m_main_v_state(s309, c_busy))),
% 9.54/7.05 inference(modus_ponens,[status(thm)],[40956, 40955])).
% 9.54/7.05 tff(40958,plain,
% 9.54/7.05 (~m_main_v_state(s309, c_busy)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40957, 170, 40951])).
% 9.54/7.05 tff(40959,assumption,(~m_main_v_state(s309, c_busy)), introduced(assumption)).
% 9.54/7.05 tff(40960,assumption,(node4(s308)), introduced(assumption)).
% 9.54/7.05 tff(40961,plain,
% 9.54/7.05 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s308) | (~node4(s308)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s308) | (~node4(s308)))),
% 9.54/7.05 inference(rewrite,[status(thm)],[])).
% 9.54/7.05 tff(40962,plain,
% 9.54/7.05 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s308) | (~node4(s308)))),
% 9.54/7.05 inference(quant_inst,[status(thm)],[])).
% 9.54/7.05 tff(40963,plain,
% 9.54/7.05 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s308) | (~node4(s308))),
% 9.54/7.05 inference(modus_ponens,[status(thm)],[40962, 40961])).
% 9.54/7.05 tff(40964,plain,
% 9.54/7.05 (m_main_v_request(s308)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40963, 154, 40960])).
% 9.54/7.05 tff(40965,plain,
% 9.54/7.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s308, s309)) | node2(s308, s309))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s308, s309)) | node2(s308, s309))),
% 9.54/7.05 inference(rewrite,[status(thm)],[])).
% 9.54/7.05 tff(40966,plain,
% 9.54/7.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s308, s309)) | node2(s308, s309))),
% 9.54/7.05 inference(quant_inst,[status(thm)],[])).
% 9.54/7.05 tff(40967,plain,
% 9.54/7.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s308, s309)) | node2(s308, s309)),
% 9.54/7.05 inference(modus_ponens,[status(thm)],[40966, 40965])).
% 9.54/7.05 tff(40968,plain,
% 9.54/7.05 (node2(s308, s309)),
% 9.54/7.05 inference(unit_resolution,[status(thm)],[40967, 7, 5213])).
% 9.54/7.05 tff(40969,plain,
% 9.54/7.05 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s308, c_ready)) | (~node2(s308, s309)) | m_main_v_state(s309, c_busy) | (~m_main_v_request(s308)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s308, c_ready)) | (~node2(s308, s309)) | m_main_v_state(s309, c_busy) | (~m_main_v_request(s308)))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(40970,plain,
% 9.54/7.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s308, c_ready)) | (~node2(s308, s309)) | m_main_v_state(s309, c_busy) | (~m_main_v_request(s308)))),
% 9.54/7.06 inference(quant_inst,[status(thm)],[])).
% 9.54/7.06 tff(40971,plain,
% 9.54/7.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s308, c_ready)) | (~node2(s308, s309)) | m_main_v_state(s309, c_busy) | (~m_main_v_request(s308))),
% 9.54/7.06 inference(modus_ponens,[status(thm)],[40970, 40969])).
% 9.54/7.06 tff(40972,plain,
% 9.54/7.06 ((~m_main_v_state(s308, c_ready)) | m_main_v_state(s309, c_busy) | (~m_main_v_request(s308))),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[40971, 191, 40968])).
% 9.54/7.06 tff(40973,plain,
% 9.54/7.06 (~m_main_v_state(s308, c_ready)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[40972, 40964, 40959])).
% 9.54/7.06 tff(40974,plain,
% 9.54/7.06 (always3(s308)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12459, 22, 40960])).
% 9.54/7.06 tff(40975,plain,
% 9.54/7.06 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s308)) | (~m_main_v_state(s308, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s308)) | (~m_main_v_state(s308, c_busy)))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(40976,plain,
% 9.54/7.06 (((~m_main_v_state(s308, c_busy)) | (~always3(s308))) <=> ((~always3(s308)) | (~m_main_v_state(s308, c_busy)))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(40977,plain,
% 9.54/7.06 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s308, c_busy)) | (~always3(s308)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s308)) | (~m_main_v_state(s308, c_busy))))),
% 9.54/7.06 inference(monotonicity,[status(thm)],[40976])).
% 9.54/7.06 tff(40978,plain,
% 9.54/7.06 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s308, c_busy)) | (~always3(s308)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s308)) | (~m_main_v_state(s308, c_busy)))),
% 9.54/7.06 inference(transitivity,[status(thm)],[40977, 40975])).
% 9.54/7.06 tff(40979,plain,
% 9.54/7.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s308, c_busy)) | (~always3(s308)))),
% 9.54/7.06 inference(quant_inst,[status(thm)],[])).
% 9.54/7.06 tff(40980,plain,
% 9.54/7.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s308)) | (~m_main_v_state(s308, c_busy))),
% 9.54/7.06 inference(modus_ponens,[status(thm)],[40979, 40978])).
% 9.54/7.06 tff(40981,plain,
% 9.54/7.06 (~m_main_v_state(s308, c_busy)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[40980, 170, 40974])).
% 9.54/7.06 tff(40982,plain,
% 9.54/7.06 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s308, c_busy) | m_main_v_state(s308, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s308, c_busy) | m_main_v_state(s308, c_ready))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(40983,plain,
% 9.54/7.06 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s308, c_busy) | m_main_v_state(s308, c_ready))),
% 9.54/7.06 inference(quant_inst,[status(thm)],[])).
% 9.54/7.06 tff(40984,plain,
% 9.54/7.06 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s308, c_busy) | m_main_v_state(s308, c_ready)),
% 9.54/7.06 inference(modus_ponens,[status(thm)],[40983, 40982])).
% 9.54/7.06 tff(40985,plain,
% 9.54/7.06 ($false),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[40984, 213, 40981, 40973])).
% 9.54/7.06 tff(40986,plain,((~node4(s308)) | m_main_v_state(s309, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.54/7.06 tff(40987,plain,
% 9.54/7.06 (~node4(s308)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[40986, 40958])).
% 9.54/7.06 tff(40988,assumption,(~m_main_v_state(s310, c_busy)), introduced(assumption)).
% 9.54/7.06 tff(40989,plain,
% 9.54/7.06 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s309, c_busy) | m_main_v_state(s309, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s309, c_busy) | m_main_v_state(s309, c_ready))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(40990,plain,
% 9.54/7.06 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s309, c_busy) | m_main_v_state(s309, c_ready))),
% 9.54/7.06 inference(quant_inst,[status(thm)],[])).
% 9.54/7.06 tff(40991,plain,
% 9.54/7.06 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s309, c_busy) | m_main_v_state(s309, c_ready)),
% 9.54/7.06 inference(modus_ponens,[status(thm)],[40990, 40989])).
% 9.54/7.06 tff(40992,plain,
% 9.54/7.06 (m_main_v_state(s309, c_ready)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[40991, 213, 40958])).
% 9.54/7.06 tff(40993,plain,
% 9.54/7.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s309, s310)) | node2(s309, s310))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s309, s310)) | node2(s309, s310))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(40994,plain,
% 9.54/7.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s309, s310)) | node2(s309, s310))),
% 9.54/7.06 inference(quant_inst,[status(thm)],[])).
% 9.54/7.06 tff(40995,plain,
% 9.54/7.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s309, s310)) | node2(s309, s310)),
% 9.54/7.06 inference(modus_ponens,[status(thm)],[40994, 40993])).
% 9.54/7.06 tff(40996,plain,
% 9.54/7.06 (node2(s309, s310)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[40995, 7, 5201])).
% 9.54/7.06 tff(40997,plain,
% 9.54/7.06 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s309, c_ready)) | (~node2(s309, s310)) | m_main_v_state(s310, c_busy) | (~m_main_v_request(s309)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s309, c_ready)) | (~node2(s309, s310)) | m_main_v_state(s310, c_busy) | (~m_main_v_request(s309)))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(40998,plain,
% 9.54/7.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s309, c_ready)) | (~node2(s309, s310)) | m_main_v_state(s310, c_busy) | (~m_main_v_request(s309)))),
% 9.54/7.06 inference(quant_inst,[status(thm)],[])).
% 9.54/7.06 tff(40999,plain,
% 9.54/7.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s309, c_ready)) | (~node2(s309, s310)) | m_main_v_state(s310, c_busy) | (~m_main_v_request(s309))),
% 9.54/7.06 inference(modus_ponens,[status(thm)],[40998, 40997])).
% 9.54/7.06 tff(41000,plain,
% 9.54/7.06 ((~m_main_v_state(s309, c_ready)) | m_main_v_state(s310, c_busy) | (~m_main_v_request(s309))),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[40999, 191, 40996])).
% 9.54/7.06 tff(41001,plain,
% 9.54/7.06 (~m_main_v_request(s309)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41000, 40992, 40988])).
% 9.54/7.06 tff(41002,plain,
% 9.54/7.06 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s309) | (~node4(s309)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s309) | (~node4(s309)))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(41003,plain,
% 9.54/7.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s309) | (~node4(s309)))),
% 9.54/7.06 inference(quant_inst,[status(thm)],[])).
% 9.54/7.06 tff(41004,plain,
% 9.54/7.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s309) | (~node4(s309))),
% 9.54/7.06 inference(modus_ponens,[status(thm)],[41003, 41002])).
% 9.54/7.06 tff(41005,plain,
% 9.54/7.06 (~node4(s309)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41004, 154, 41001])).
% 9.54/7.06 tff(41006,plain,
% 9.54/7.06 (~until5(s309)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[40947, 41005])).
% 9.54/7.06 tff(41007,plain,
% 9.54/7.06 (~xuntil6(s308)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12472, 41006])).
% 9.54/7.06 tff(41008,plain,
% 9.54/7.06 (node4(s308) | (~until5(s308))),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12466, 36, 41007])).
% 9.54/7.06 tff(41009,plain,
% 9.54/7.06 (~until5(s308)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41008, 40987])).
% 9.54/7.06 tff(41010,plain,
% 9.54/7.06 (~xuntil6(s307)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12455, 41009])).
% 9.54/7.06 tff(41011,assumption,(~always3(s307)), introduced(assumption)).
% 9.54/7.06 tff(41012,plain,
% 9.54/7.06 (~node4(s307)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12442, 22, 41011])).
% 9.54/7.06 tff(41013,assumption,(~xuntil6(s307)), introduced(assumption)).
% 9.54/7.06 tff(41014,plain,
% 9.54/7.06 (node4(s307) | (~until5(s307))),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12449, 36, 41013])).
% 9.54/7.06 tff(41015,plain,
% 9.54/7.06 (~until5(s307)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41014, 41012])).
% 9.54/7.06 tff(41016,plain,
% 9.54/7.06 (~always3(s306)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[5241, 41011])).
% 9.54/7.06 tff(41017,plain,
% 9.54/7.06 (~node4(s306)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12425, 22, 41016])).
% 9.54/7.06 tff(41018,plain,
% 9.54/7.06 (xuntil6(s306)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[40938, 41017])).
% 9.54/7.06 tff(41019,plain,
% 9.54/7.06 ($false),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12438, 41018, 41015])).
% 9.54/7.06 tff(41020,plain,(always3(s307) | (~until5(s306)) | xuntil6(s307)), inference(lemma,lemma(discharge,[]))).
% 9.54/7.06 tff(41021,plain,
% 9.54/7.06 (always3(s307)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41020, 40931, 41010])).
% 9.54/7.06 tff(41022,plain,
% 9.54/7.06 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s307)) | (~m_main_v_state(s307, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s307)) | (~m_main_v_state(s307, c_busy)))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(41023,plain,
% 9.54/7.06 (((~m_main_v_state(s307, c_busy)) | (~always3(s307))) <=> ((~always3(s307)) | (~m_main_v_state(s307, c_busy)))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(41024,plain,
% 9.54/7.06 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s307, c_busy)) | (~always3(s307)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s307)) | (~m_main_v_state(s307, c_busy))))),
% 9.54/7.06 inference(monotonicity,[status(thm)],[41023])).
% 9.54/7.06 tff(41025,plain,
% 9.54/7.06 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s307, c_busy)) | (~always3(s307)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s307)) | (~m_main_v_state(s307, c_busy)))),
% 9.54/7.06 inference(transitivity,[status(thm)],[41024, 41022])).
% 9.54/7.06 tff(41026,plain,
% 9.54/7.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s307, c_busy)) | (~always3(s307)))),
% 9.54/7.06 inference(quant_inst,[status(thm)],[])).
% 9.54/7.06 tff(41027,plain,
% 9.54/7.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s307)) | (~m_main_v_state(s307, c_busy))),
% 9.54/7.06 inference(modus_ponens,[status(thm)],[41026, 41025])).
% 9.54/7.06 tff(41028,plain,
% 9.54/7.06 (~m_main_v_state(s307, c_busy)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41027, 170, 41021])).
% 9.54/7.06 tff(41029,plain,
% 9.54/7.06 (always3(s308)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[5229, 41021])).
% 9.54/7.06 tff(41030,plain,
% 9.54/7.06 (~m_main_v_state(s308, c_busy)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[40980, 170, 41029])).
% 9.54/7.06 tff(41031,plain,
% 9.54/7.06 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s307, c_busy) | m_main_v_state(s307, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s307, c_busy) | m_main_v_state(s307, c_ready))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(41032,plain,
% 9.54/7.06 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s307, c_busy) | m_main_v_state(s307, c_ready))),
% 9.54/7.06 inference(quant_inst,[status(thm)],[])).
% 9.54/7.06 tff(41033,plain,
% 9.54/7.06 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s307, c_busy) | m_main_v_state(s307, c_ready)),
% 9.54/7.06 inference(modus_ponens,[status(thm)],[41032, 41031])).
% 9.54/7.06 tff(41034,plain,
% 9.54/7.06 (m_main_v_state(s307, c_ready)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41033, 213, 41028])).
% 9.54/7.06 tff(41035,plain,
% 9.54/7.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s307, s308)) | node2(s307, s308))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s307, s308)) | node2(s307, s308))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(41036,plain,
% 9.54/7.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s307, s308)) | node2(s307, s308))),
% 9.54/7.06 inference(quant_inst,[status(thm)],[])).
% 9.54/7.06 tff(41037,plain,
% 9.54/7.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s307, s308)) | node2(s307, s308)),
% 9.54/7.06 inference(modus_ponens,[status(thm)],[41036, 41035])).
% 9.54/7.06 tff(41038,plain,
% 9.54/7.06 (node2(s307, s308)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41037, 7, 5225])).
% 9.54/7.06 tff(41039,plain,
% 9.54/7.06 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s307, c_ready)) | (~node2(s307, s308)) | m_main_v_state(s308, c_busy) | (~m_main_v_request(s307)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s307, c_ready)) | (~node2(s307, s308)) | m_main_v_state(s308, c_busy) | (~m_main_v_request(s307)))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(41040,plain,
% 9.54/7.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s307, c_ready)) | (~node2(s307, s308)) | m_main_v_state(s308, c_busy) | (~m_main_v_request(s307)))),
% 9.54/7.06 inference(quant_inst,[status(thm)],[])).
% 9.54/7.06 tff(41041,plain,
% 9.54/7.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s307, c_ready)) | (~node2(s307, s308)) | m_main_v_state(s308, c_busy) | (~m_main_v_request(s307))),
% 9.54/7.06 inference(modus_ponens,[status(thm)],[41040, 41039])).
% 9.54/7.06 tff(41042,plain,
% 9.54/7.06 ((~m_main_v_state(s307, c_ready)) | m_main_v_state(s308, c_busy) | (~m_main_v_request(s307))),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41041, 191, 41038])).
% 9.54/7.06 tff(41043,plain,
% 9.54/7.06 (~m_main_v_request(s307)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41042, 41034, 41030])).
% 9.54/7.06 tff(41044,plain,
% 9.54/7.06 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s307) | (~node4(s307)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s307) | (~node4(s307)))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(41045,plain,
% 9.54/7.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s307) | (~node4(s307)))),
% 9.54/7.06 inference(quant_inst,[status(thm)],[])).
% 9.54/7.06 tff(41046,plain,
% 9.54/7.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s307) | (~node4(s307))),
% 9.54/7.06 inference(modus_ponens,[status(thm)],[41045, 41044])).
% 9.54/7.06 tff(41047,plain,
% 9.54/7.06 (~node4(s307)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41046, 154, 41043])).
% 9.54/7.06 tff(41048,plain,
% 9.54/7.06 (node4(s307) | (~until5(s307))),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12449, 36, 41010])).
% 9.54/7.06 tff(41049,plain,
% 9.54/7.06 (~until5(s307)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41048, 41047])).
% 9.54/7.06 tff(41050,plain,
% 9.54/7.06 (~xuntil6(s306)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12438, 41049])).
% 9.54/7.06 tff(41051,plain,
% 9.54/7.06 (node4(s306)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[40938, 41050])).
% 9.54/7.06 tff(41052,plain,
% 9.54/7.06 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s306) | (~node4(s306)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s306) | (~node4(s306)))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(41053,plain,
% 9.54/7.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s306) | (~node4(s306)))),
% 9.54/7.06 inference(quant_inst,[status(thm)],[])).
% 9.54/7.06 tff(41054,plain,
% 9.54/7.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s306) | (~node4(s306))),
% 9.54/7.06 inference(modus_ponens,[status(thm)],[41053, 41052])).
% 9.54/7.06 tff(41055,plain,
% 9.54/7.06 (m_main_v_request(s306)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41054, 154, 41051])).
% 9.54/7.06 tff(41056,plain,
% 9.54/7.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s306, s307)) | node2(s306, s307))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s306, s307)) | node2(s306, s307))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(41057,plain,
% 9.54/7.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s306, s307)) | node2(s306, s307))),
% 9.54/7.06 inference(quant_inst,[status(thm)],[])).
% 9.54/7.06 tff(41058,plain,
% 9.54/7.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s306, s307)) | node2(s306, s307)),
% 9.54/7.06 inference(modus_ponens,[status(thm)],[41057, 41056])).
% 9.54/7.06 tff(41059,plain,
% 9.54/7.06 (node2(s306, s307)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41058, 7, 5237])).
% 9.54/7.06 tff(41060,plain,
% 9.54/7.06 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s306, c_ready)) | (~node2(s306, s307)) | m_main_v_state(s307, c_busy) | (~m_main_v_request(s306)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s306, c_ready)) | (~node2(s306, s307)) | m_main_v_state(s307, c_busy) | (~m_main_v_request(s306)))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(41061,plain,
% 9.54/7.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s306, c_ready)) | (~node2(s306, s307)) | m_main_v_state(s307, c_busy) | (~m_main_v_request(s306)))),
% 9.54/7.06 inference(quant_inst,[status(thm)],[])).
% 9.54/7.06 tff(41062,plain,
% 9.54/7.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s306, c_ready)) | (~node2(s306, s307)) | m_main_v_state(s307, c_busy) | (~m_main_v_request(s306))),
% 9.54/7.06 inference(modus_ponens,[status(thm)],[41061, 41060])).
% 9.54/7.06 tff(41063,plain,
% 9.54/7.06 ((~m_main_v_state(s306, c_ready)) | m_main_v_state(s307, c_busy) | (~m_main_v_request(s306))),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41062, 191, 41059])).
% 9.54/7.06 tff(41064,plain,
% 9.54/7.06 (~m_main_v_state(s306, c_ready)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41063, 41055, 41028])).
% 9.54/7.06 tff(41065,plain,
% 9.54/7.06 (always3(s306)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12425, 22, 41051])).
% 9.54/7.06 tff(41066,plain,
% 9.54/7.06 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s306)) | (~m_main_v_state(s306, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s306)) | (~m_main_v_state(s306, c_busy)))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(41067,plain,
% 9.54/7.06 (((~m_main_v_state(s306, c_busy)) | (~always3(s306))) <=> ((~always3(s306)) | (~m_main_v_state(s306, c_busy)))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(41068,plain,
% 9.54/7.06 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s306, c_busy)) | (~always3(s306)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s306)) | (~m_main_v_state(s306, c_busy))))),
% 9.54/7.06 inference(monotonicity,[status(thm)],[41067])).
% 9.54/7.06 tff(41069,plain,
% 9.54/7.06 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s306, c_busy)) | (~always3(s306)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s306)) | (~m_main_v_state(s306, c_busy)))),
% 9.54/7.06 inference(transitivity,[status(thm)],[41068, 41066])).
% 9.54/7.06 tff(41070,plain,
% 9.54/7.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s306, c_busy)) | (~always3(s306)))),
% 9.54/7.06 inference(quant_inst,[status(thm)],[])).
% 9.54/7.06 tff(41071,plain,
% 9.54/7.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s306)) | (~m_main_v_state(s306, c_busy))),
% 9.54/7.06 inference(modus_ponens,[status(thm)],[41070, 41069])).
% 9.54/7.06 tff(41072,plain,
% 9.54/7.06 (~m_main_v_state(s306, c_busy)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41071, 170, 41065])).
% 9.54/7.06 tff(41073,plain,
% 9.54/7.06 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s306, c_busy) | m_main_v_state(s306, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s306, c_busy) | m_main_v_state(s306, c_ready))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(41074,plain,
% 9.54/7.06 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s306, c_busy) | m_main_v_state(s306, c_ready))),
% 9.54/7.06 inference(quant_inst,[status(thm)],[])).
% 9.54/7.06 tff(41075,plain,
% 9.54/7.06 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s306, c_busy) | m_main_v_state(s306, c_ready)),
% 9.54/7.06 inference(modus_ponens,[status(thm)],[41074, 41073])).
% 9.54/7.06 tff(41076,plain,
% 9.54/7.06 ($false),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41075, 213, 41072, 41064])).
% 9.54/7.06 tff(41077,plain,((~until5(s306)) | xuntil6(s309) | m_main_v_state(s310, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.54/7.06 tff(41078,plain,
% 9.54/7.06 (~until5(s306)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41077, 40929, 40909])).
% 9.54/7.06 tff(41079,plain,
% 9.54/7.06 (~xuntil6(s305)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12421, 41078])).
% 9.54/7.06 tff(41080,assumption,(~always3(s305)), introduced(assumption)).
% 9.54/7.06 tff(41081,plain,
% 9.54/7.06 (~always3(s304)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[5265, 41080])).
% 9.54/7.06 tff(41082,plain,
% 9.54/7.06 (~node4(s304)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12391, 22, 41081])).
% 9.54/7.06 tff(41083,plain,
% 9.54/7.06 (~node4(s305)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12408, 22, 41080])).
% 9.54/7.06 tff(41084,assumption,(~xuntil6(s305)), introduced(assumption)).
% 9.54/7.06 tff(41085,plain,
% 9.54/7.06 (node4(s305) | (~until5(s305))),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12415, 36, 41084])).
% 9.54/7.06 tff(41086,plain,
% 9.54/7.06 (~until5(s305)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41085, 41083])).
% 9.54/7.06 tff(41087,plain,
% 9.54/7.06 (~xuntil6(s304)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12404, 41086])).
% 9.54/7.06 tff(41088,plain,
% 9.54/7.06 (~until5(s304)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12398, 36, 41087, 41082])).
% 9.54/7.06 tff(41089,plain,
% 9.54/7.06 (~xuntil6(s303)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12387, 41088])).
% 9.54/7.06 tff(41090,plain,
% 9.54/7.06 (~always3(s303)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[5277, 41081])).
% 9.54/7.06 tff(41091,plain,
% 9.54/7.06 (~node4(s303)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12374, 22, 41090])).
% 9.54/7.06 tff(41092,plain,
% 9.54/7.06 (xuntil6(s303) | (~until5(s303))),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12381, 36, 41091])).
% 9.54/7.06 tff(41093,plain,
% 9.54/7.06 (~until5(s303)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41092, 41089])).
% 9.54/7.06 tff(41094,plain,
% 9.54/7.06 (~xuntil6(s302)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12370, 41093])).
% 9.54/7.06 tff(41095,plain,
% 9.54/7.06 (~always3(s302)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[5289, 41090])).
% 9.54/7.06 tff(41096,plain,
% 9.54/7.06 (~node4(s302)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12357, 22, 41095])).
% 9.54/7.06 tff(41097,plain,
% 9.54/7.06 (xuntil6(s302) | (~until5(s302))),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12364, 36, 41096])).
% 9.54/7.06 tff(41098,plain,
% 9.54/7.06 (~until5(s302)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41097, 41094])).
% 9.54/7.06 tff(41099,plain,
% 9.54/7.06 (~xuntil6(s301)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12353, 41098])).
% 9.54/7.06 tff(41100,plain,
% 9.54/7.06 (~always3(s301)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[5301, 41095])).
% 9.54/7.06 tff(41101,plain,
% 9.54/7.06 (~node4(s301)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12340, 22, 41100])).
% 9.54/7.06 tff(41102,plain,
% 9.54/7.06 (xuntil6(s301) | (~until5(s301))),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12347, 36, 41101])).
% 9.54/7.06 tff(41103,plain,
% 9.54/7.06 (~until5(s301)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41102, 41099])).
% 9.54/7.06 tff(41104,plain,
% 9.54/7.06 (~xuntil6(s300)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12336, 41103])).
% 9.54/7.06 tff(41105,plain,
% 9.54/7.06 (~always3(s300)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[5313, 41100])).
% 9.54/7.06 tff(41106,plain,
% 9.54/7.06 (~node4(s300)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12323, 22, 41105])).
% 9.54/7.06 tff(41107,plain,
% 9.54/7.06 (xuntil6(s300) | (~until5(s300))),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12330, 36, 41106])).
% 9.54/7.06 tff(41108,plain,
% 9.54/7.06 (~until5(s300)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41107, 41104])).
% 9.54/7.06 tff(41109,plain,
% 9.54/7.06 (~xuntil6(s299)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12319, 41108])).
% 9.54/7.06 tff(41110,plain,
% 9.54/7.06 (~always3(s299)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[5325, 41105])).
% 9.54/7.06 tff(41111,plain,
% 9.54/7.06 (~node4(s299)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12306, 22, 41110])).
% 9.54/7.06 tff(41112,plain,
% 9.54/7.06 (xuntil6(s299) | (~until5(s299))),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12313, 36, 41111])).
% 9.54/7.06 tff(41113,plain,
% 9.54/7.06 (~until5(s299)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41112, 41109])).
% 9.54/7.06 tff(41114,plain,
% 9.54/7.06 (~xuntil6(s298)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12302, 41113])).
% 9.54/7.06 tff(41115,plain,
% 9.54/7.06 (~always3(s298)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[5337, 41110])).
% 9.54/7.06 tff(41116,plain,
% 9.54/7.06 (~node4(s298)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12289, 22, 41115])).
% 9.54/7.06 tff(41117,plain,
% 9.54/7.06 (xuntil6(s298) | (~until5(s298))),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12296, 36, 41116])).
% 9.54/7.06 tff(41118,plain,
% 9.54/7.06 (~until5(s298)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41117, 41114])).
% 9.54/7.06 tff(41119,plain,
% 9.54/7.06 (~always3(s297)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[5349, 41115])).
% 9.54/7.06 tff(41120,plain,
% 9.54/7.06 (~always3(s296)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[5361, 41119])).
% 9.54/7.06 tff(41121,plain,
% 9.54/7.06 (~always3(s295)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[5373, 41120])).
% 9.54/7.06 tff(41122,plain,
% 9.54/7.06 (~always3(s294)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[5385, 41121])).
% 9.54/7.06 tff(41123,plain,
% 9.54/7.06 (~always3(s293)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[5397, 41122])).
% 9.54/7.06 tff(41124,plain,
% 9.54/7.06 (~always3(s292)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[5409, 41123])).
% 9.54/7.06 tff(41125,plain,
% 9.54/7.06 (~always3(s291)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[5421, 41124])).
% 9.54/7.06 tff(41126,plain,
% 9.54/7.06 (~node4(s291)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12170, 22, 41125])).
% 9.54/7.06 tff(41127,plain,
% 9.54/7.06 (~always3(s290)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[5433, 41125])).
% 9.54/7.06 tff(41128,plain,
% 9.54/7.06 (~node4(s290)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12153, 22, 41127])).
% 9.54/7.06 tff(41129,plain,
% 9.54/7.06 (xuntil6(s290)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[40821, 41128])).
% 9.54/7.06 tff(41130,plain,
% 9.54/7.06 (until5(s291)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12166, 41129])).
% 9.54/7.06 tff(41131,plain,
% 9.54/7.06 (xuntil6(s291)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12177, 36, 41130, 41126])).
% 9.54/7.06 tff(41132,plain,
% 9.54/7.06 (until5(s292)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12183, 41131])).
% 9.54/7.06 tff(41133,plain,
% 9.54/7.06 (~node4(s292)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12187, 22, 41124])).
% 9.54/7.06 tff(41134,plain,
% 9.54/7.06 (xuntil6(s292) | (~until5(s292))),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12194, 36, 41133])).
% 9.54/7.06 tff(41135,plain,
% 9.54/7.06 (xuntil6(s292)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41134, 41132])).
% 9.54/7.06 tff(41136,plain,
% 9.54/7.06 (until5(s293)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12200, 41135])).
% 9.54/7.06 tff(41137,plain,
% 9.54/7.06 (~node4(s293)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12204, 22, 41123])).
% 9.54/7.06 tff(41138,plain,
% 9.54/7.06 (xuntil6(s293) | (~until5(s293))),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12211, 36, 41137])).
% 9.54/7.06 tff(41139,plain,
% 9.54/7.06 (xuntil6(s293)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41138, 41136])).
% 9.54/7.06 tff(41140,plain,
% 9.54/7.06 (until5(s294)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12217, 41139])).
% 9.54/7.06 tff(41141,plain,
% 9.54/7.06 (~node4(s294)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12221, 22, 41122])).
% 9.54/7.06 tff(41142,plain,
% 9.54/7.06 (xuntil6(s294) | (~until5(s294))),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12228, 36, 41141])).
% 9.54/7.06 tff(41143,plain,
% 9.54/7.06 (xuntil6(s294)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41142, 41140])).
% 9.54/7.06 tff(41144,plain,
% 9.54/7.06 (until5(s295)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12234, 41143])).
% 9.54/7.06 tff(41145,plain,
% 9.54/7.06 (~node4(s295)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12238, 22, 41121])).
% 9.54/7.06 tff(41146,plain,
% 9.54/7.06 (xuntil6(s295) | (~until5(s295))),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12245, 36, 41145])).
% 9.54/7.06 tff(41147,plain,
% 9.54/7.06 (xuntil6(s295)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41146, 41144])).
% 9.54/7.06 tff(41148,plain,
% 9.54/7.06 (until5(s296)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12251, 41147])).
% 9.54/7.06 tff(41149,plain,
% 9.54/7.06 (~node4(s296)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12255, 22, 41120])).
% 9.54/7.06 tff(41150,plain,
% 9.54/7.06 (xuntil6(s296) | (~until5(s296))),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12262, 36, 41149])).
% 9.54/7.06 tff(41151,plain,
% 9.54/7.06 (xuntil6(s296)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41150, 41148])).
% 9.54/7.06 tff(41152,plain,
% 9.54/7.06 (until5(s297)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12268, 41151])).
% 9.54/7.06 tff(41153,plain,
% 9.54/7.06 (~node4(s297)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12272, 22, 41119])).
% 9.54/7.06 tff(41154,plain,
% 9.54/7.06 (xuntil6(s297) | (~until5(s297))),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12279, 36, 41153])).
% 9.54/7.06 tff(41155,plain,
% 9.54/7.06 (xuntil6(s297)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41154, 41152])).
% 9.54/7.06 tff(41156,plain,
% 9.54/7.06 ($false),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12285, 41155, 41118])).
% 9.54/7.06 tff(41157,plain,(always3(s305) | (~until5(s290)) | xuntil6(s305)), inference(lemma,lemma(discharge,[]))).
% 9.54/7.06 tff(41158,plain,
% 9.54/7.06 (always3(s305)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41157, 40797, 41079])).
% 9.54/7.06 tff(41159,plain,
% 9.54/7.06 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s305)) | (~m_main_v_state(s305, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s305)) | (~m_main_v_state(s305, c_busy)))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(41160,plain,
% 9.54/7.06 (((~m_main_v_state(s305, c_busy)) | (~always3(s305))) <=> ((~always3(s305)) | (~m_main_v_state(s305, c_busy)))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(41161,plain,
% 9.54/7.06 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s305, c_busy)) | (~always3(s305)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s305)) | (~m_main_v_state(s305, c_busy))))),
% 9.54/7.06 inference(monotonicity,[status(thm)],[41160])).
% 9.54/7.06 tff(41162,plain,
% 9.54/7.06 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s305, c_busy)) | (~always3(s305)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s305)) | (~m_main_v_state(s305, c_busy)))),
% 9.54/7.06 inference(transitivity,[status(thm)],[41161, 41159])).
% 9.54/7.06 tff(41163,plain,
% 9.54/7.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s305, c_busy)) | (~always3(s305)))),
% 9.54/7.06 inference(quant_inst,[status(thm)],[])).
% 9.54/7.06 tff(41164,plain,
% 9.54/7.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s305)) | (~m_main_v_state(s305, c_busy))),
% 9.54/7.06 inference(modus_ponens,[status(thm)],[41163, 41162])).
% 9.54/7.06 tff(41165,plain,
% 9.54/7.06 (~m_main_v_state(s305, c_busy)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41164, 170, 41158])).
% 9.54/7.06 tff(41166,plain,
% 9.54/7.06 (always3(s306)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[5253, 41158])).
% 9.54/7.06 tff(41167,plain,
% 9.54/7.06 (~m_main_v_state(s306, c_busy)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41071, 170, 41166])).
% 9.54/7.06 tff(41168,plain,
% 9.54/7.06 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s305, c_busy) | m_main_v_state(s305, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s305, c_busy) | m_main_v_state(s305, c_ready))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(41169,plain,
% 9.54/7.06 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s305, c_busy) | m_main_v_state(s305, c_ready))),
% 9.54/7.06 inference(quant_inst,[status(thm)],[])).
% 9.54/7.06 tff(41170,plain,
% 9.54/7.06 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s305, c_busy) | m_main_v_state(s305, c_ready)),
% 9.54/7.06 inference(modus_ponens,[status(thm)],[41169, 41168])).
% 9.54/7.06 tff(41171,plain,
% 9.54/7.06 (m_main_v_state(s305, c_ready)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41170, 213, 41165])).
% 9.54/7.06 tff(41172,plain,
% 9.54/7.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s305, s306)) | node2(s305, s306))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s305, s306)) | node2(s305, s306))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(41173,plain,
% 9.54/7.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s305, s306)) | node2(s305, s306))),
% 9.54/7.06 inference(quant_inst,[status(thm)],[])).
% 9.54/7.06 tff(41174,plain,
% 9.54/7.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s305, s306)) | node2(s305, s306)),
% 9.54/7.06 inference(modus_ponens,[status(thm)],[41173, 41172])).
% 9.54/7.06 tff(41175,plain,
% 9.54/7.06 (node2(s305, s306)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41174, 7, 5249])).
% 9.54/7.06 tff(41176,plain,
% 9.54/7.06 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s305, c_ready)) | (~node2(s305, s306)) | m_main_v_state(s306, c_busy) | (~m_main_v_request(s305)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s305, c_ready)) | (~node2(s305, s306)) | m_main_v_state(s306, c_busy) | (~m_main_v_request(s305)))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(41177,plain,
% 9.54/7.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s305, c_ready)) | (~node2(s305, s306)) | m_main_v_state(s306, c_busy) | (~m_main_v_request(s305)))),
% 9.54/7.06 inference(quant_inst,[status(thm)],[])).
% 9.54/7.06 tff(41178,plain,
% 9.54/7.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s305, c_ready)) | (~node2(s305, s306)) | m_main_v_state(s306, c_busy) | (~m_main_v_request(s305))),
% 9.54/7.06 inference(modus_ponens,[status(thm)],[41177, 41176])).
% 9.54/7.06 tff(41179,plain,
% 9.54/7.06 ((~m_main_v_state(s305, c_ready)) | m_main_v_state(s306, c_busy) | (~m_main_v_request(s305))),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41178, 191, 41175])).
% 9.54/7.06 tff(41180,plain,
% 9.54/7.06 (~m_main_v_request(s305)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41179, 41171, 41167])).
% 9.54/7.06 tff(41181,plain,
% 9.54/7.06 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s305) | (~node4(s305)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s305) | (~node4(s305)))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(41182,plain,
% 9.54/7.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s305) | (~node4(s305)))),
% 9.54/7.06 inference(quant_inst,[status(thm)],[])).
% 9.54/7.06 tff(41183,plain,
% 9.54/7.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s305) | (~node4(s305))),
% 9.54/7.06 inference(modus_ponens,[status(thm)],[41182, 41181])).
% 9.54/7.06 tff(41184,plain,
% 9.54/7.06 (~node4(s305)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41183, 154, 41180])).
% 9.54/7.06 tff(41185,plain,
% 9.54/7.06 (node4(s305) | (~until5(s305))),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12415, 36, 41079])).
% 9.54/7.06 tff(41186,plain,
% 9.54/7.06 (~until5(s305)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41185, 41184])).
% 9.54/7.06 tff(41187,plain,
% 9.54/7.06 (~xuntil6(s304)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12404, 41186])).
% 9.54/7.06 tff(41188,assumption,(~xuntil6(s304)), introduced(assumption)).
% 9.54/7.06 tff(41189,assumption,(until5(s303)), introduced(assumption)).
% 9.54/7.06 tff(41190,assumption,(~always3(s304)), introduced(assumption)).
% 9.54/7.06 tff(41191,plain,
% 9.54/7.06 (~always3(s303)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[5277, 41190])).
% 9.54/7.06 tff(41192,plain,
% 9.54/7.06 (~node4(s303)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12374, 22, 41191])).
% 9.54/7.06 tff(41193,plain,
% 9.54/7.06 (xuntil6(s303) | node4(s303)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12381, 36, 41189])).
% 9.54/7.06 tff(41194,plain,
% 9.54/7.06 (xuntil6(s303)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41193, 41192])).
% 9.54/7.06 tff(41195,plain,
% 9.54/7.06 (until5(s304)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12387, 41194])).
% 9.54/7.06 tff(41196,plain,
% 9.54/7.06 (node4(s304) | (~until5(s304))),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12398, 36, 41188])).
% 9.54/7.06 tff(41197,plain,
% 9.54/7.06 (node4(s304)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41196, 41195])).
% 9.54/7.06 tff(41198,plain,
% 9.54/7.06 ($false),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[12391, 22, 41190, 41197])).
% 9.54/7.06 tff(41199,plain,(always3(s304) | xuntil6(s304) | (~until5(s303))), inference(lemma,lemma(discharge,[]))).
% 9.54/7.06 tff(41200,plain,
% 9.54/7.06 (always3(s304)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41199, 41189, 41188])).
% 9.54/7.06 tff(41201,plain,
% 9.54/7.06 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s304)) | (~m_main_v_state(s304, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s304)) | (~m_main_v_state(s304, c_busy)))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(41202,plain,
% 9.54/7.06 (((~m_main_v_state(s304, c_busy)) | (~always3(s304))) <=> ((~always3(s304)) | (~m_main_v_state(s304, c_busy)))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(41203,plain,
% 9.54/7.06 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s304, c_busy)) | (~always3(s304)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s304)) | (~m_main_v_state(s304, c_busy))))),
% 9.54/7.06 inference(monotonicity,[status(thm)],[41202])).
% 9.54/7.06 tff(41204,plain,
% 9.54/7.06 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s304, c_busy)) | (~always3(s304)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s304)) | (~m_main_v_state(s304, c_busy)))),
% 9.54/7.06 inference(transitivity,[status(thm)],[41203, 41201])).
% 9.54/7.06 tff(41205,plain,
% 9.54/7.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s304, c_busy)) | (~always3(s304)))),
% 9.54/7.06 inference(quant_inst,[status(thm)],[])).
% 9.54/7.06 tff(41206,plain,
% 9.54/7.06 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s304)) | (~m_main_v_state(s304, c_busy))),
% 9.54/7.06 inference(modus_ponens,[status(thm)],[41205, 41204])).
% 9.54/7.06 tff(41207,plain,
% 9.54/7.06 (~m_main_v_state(s304, c_busy)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41206, 170, 41200])).
% 9.54/7.06 tff(41208,assumption,(~m_main_v_state(s305, c_busy)), introduced(assumption)).
% 9.54/7.06 tff(41209,plain,
% 9.54/7.06 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s304, c_busy) | m_main_v_state(s304, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s304, c_busy) | m_main_v_state(s304, c_ready))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(41210,plain,
% 9.54/7.06 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s304, c_busy) | m_main_v_state(s304, c_ready))),
% 9.54/7.06 inference(quant_inst,[status(thm)],[])).
% 9.54/7.06 tff(41211,plain,
% 9.54/7.06 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s304, c_busy) | m_main_v_state(s304, c_ready)),
% 9.54/7.06 inference(modus_ponens,[status(thm)],[41210, 41209])).
% 9.54/7.06 tff(41212,plain,
% 9.54/7.06 (m_main_v_state(s304, c_ready)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41211, 213, 41207])).
% 9.54/7.06 tff(41213,plain,
% 9.54/7.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s304, s305)) | node2(s304, s305))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s304, s305)) | node2(s304, s305))),
% 9.54/7.06 inference(rewrite,[status(thm)],[])).
% 9.54/7.06 tff(41214,plain,
% 9.54/7.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s304, s305)) | node2(s304, s305))),
% 9.54/7.06 inference(quant_inst,[status(thm)],[])).
% 9.54/7.06 tff(41215,plain,
% 9.54/7.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s304, s305)) | node2(s304, s305)),
% 9.54/7.06 inference(modus_ponens,[status(thm)],[41214, 41213])).
% 9.54/7.06 tff(41216,plain,
% 9.54/7.06 (node2(s304, s305)),
% 9.54/7.06 inference(unit_resolution,[status(thm)],[41215, 7, 5261])).
% 9.54/7.07 tff(41217,plain,
% 9.54/7.07 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s304, c_ready)) | (~node2(s304, s305)) | m_main_v_state(s305, c_busy) | (~m_main_v_request(s304)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s304, c_ready)) | (~node2(s304, s305)) | m_main_v_state(s305, c_busy) | (~m_main_v_request(s304)))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41218,plain,
% 9.54/7.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s304, c_ready)) | (~node2(s304, s305)) | m_main_v_state(s305, c_busy) | (~m_main_v_request(s304)))),
% 9.54/7.07 inference(quant_inst,[status(thm)],[])).
% 9.54/7.07 tff(41219,plain,
% 9.54/7.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s304, c_ready)) | (~node2(s304, s305)) | m_main_v_state(s305, c_busy) | (~m_main_v_request(s304))),
% 9.54/7.07 inference(modus_ponens,[status(thm)],[41218, 41217])).
% 9.54/7.07 tff(41220,plain,
% 9.54/7.07 ((~m_main_v_state(s304, c_ready)) | m_main_v_state(s305, c_busy) | (~m_main_v_request(s304))),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41219, 191, 41216])).
% 9.54/7.07 tff(41221,plain,
% 9.54/7.07 (~m_main_v_request(s304)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41220, 41212, 41208])).
% 9.54/7.07 tff(41222,plain,
% 9.54/7.07 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s304) | (~node4(s304)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s304) | (~node4(s304)))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41223,plain,
% 9.54/7.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s304) | (~node4(s304)))),
% 9.54/7.07 inference(quant_inst,[status(thm)],[])).
% 9.54/7.07 tff(41224,plain,
% 9.54/7.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s304) | (~node4(s304))),
% 9.54/7.07 inference(modus_ponens,[status(thm)],[41223, 41222])).
% 9.54/7.07 tff(41225,plain,
% 9.54/7.07 (~node4(s304)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41224, 154, 41221])).
% 9.54/7.07 tff(41226,plain,
% 9.54/7.07 (~until5(s304)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41196, 41225])).
% 9.54/7.07 tff(41227,plain,
% 9.54/7.07 (~xuntil6(s303)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12387, 41226])).
% 9.54/7.07 tff(41228,plain,
% 9.54/7.07 (node4(s303)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41193, 41227])).
% 9.54/7.07 tff(41229,plain,
% 9.54/7.07 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s303) | (~node4(s303)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s303) | (~node4(s303)))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41230,plain,
% 9.54/7.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s303) | (~node4(s303)))),
% 9.54/7.07 inference(quant_inst,[status(thm)],[])).
% 9.54/7.07 tff(41231,plain,
% 9.54/7.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s303) | (~node4(s303))),
% 9.54/7.07 inference(modus_ponens,[status(thm)],[41230, 41229])).
% 9.54/7.07 tff(41232,plain,
% 9.54/7.07 (m_main_v_request(s303)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41231, 154, 41228])).
% 9.54/7.07 tff(41233,plain,
% 9.54/7.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s303, s304)) | node2(s303, s304))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s303, s304)) | node2(s303, s304))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41234,plain,
% 9.54/7.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s303, s304)) | node2(s303, s304))),
% 9.54/7.07 inference(quant_inst,[status(thm)],[])).
% 9.54/7.07 tff(41235,plain,
% 9.54/7.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s303, s304)) | node2(s303, s304)),
% 9.54/7.07 inference(modus_ponens,[status(thm)],[41234, 41233])).
% 9.54/7.07 tff(41236,plain,
% 9.54/7.07 (node2(s303, s304)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41235, 7, 5273])).
% 9.54/7.07 tff(41237,plain,
% 9.54/7.07 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s303, c_ready)) | (~node2(s303, s304)) | m_main_v_state(s304, c_busy) | (~m_main_v_request(s303)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s303, c_ready)) | (~node2(s303, s304)) | m_main_v_state(s304, c_busy) | (~m_main_v_request(s303)))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41238,plain,
% 9.54/7.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s303, c_ready)) | (~node2(s303, s304)) | m_main_v_state(s304, c_busy) | (~m_main_v_request(s303)))),
% 9.54/7.07 inference(quant_inst,[status(thm)],[])).
% 9.54/7.07 tff(41239,plain,
% 9.54/7.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s303, c_ready)) | (~node2(s303, s304)) | m_main_v_state(s304, c_busy) | (~m_main_v_request(s303))),
% 9.54/7.07 inference(modus_ponens,[status(thm)],[41238, 41237])).
% 9.54/7.07 tff(41240,plain,
% 9.54/7.07 ((~m_main_v_state(s303, c_ready)) | m_main_v_state(s304, c_busy) | (~m_main_v_request(s303))),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41239, 191, 41236])).
% 9.54/7.07 tff(41241,plain,
% 9.54/7.07 (~m_main_v_state(s303, c_ready)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41240, 41232, 41207])).
% 9.54/7.07 tff(41242,plain,
% 9.54/7.07 (always3(s303)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12374, 22, 41228])).
% 9.54/7.07 tff(41243,plain,
% 9.54/7.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s303)) | (~m_main_v_state(s303, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s303)) | (~m_main_v_state(s303, c_busy)))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41244,plain,
% 9.54/7.07 (((~m_main_v_state(s303, c_busy)) | (~always3(s303))) <=> ((~always3(s303)) | (~m_main_v_state(s303, c_busy)))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41245,plain,
% 9.54/7.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s303, c_busy)) | (~always3(s303)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s303)) | (~m_main_v_state(s303, c_busy))))),
% 9.54/7.07 inference(monotonicity,[status(thm)],[41244])).
% 9.54/7.07 tff(41246,plain,
% 9.54/7.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s303, c_busy)) | (~always3(s303)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s303)) | (~m_main_v_state(s303, c_busy)))),
% 9.54/7.07 inference(transitivity,[status(thm)],[41245, 41243])).
% 9.54/7.07 tff(41247,plain,
% 9.54/7.07 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s303, c_busy)) | (~always3(s303)))),
% 9.54/7.07 inference(quant_inst,[status(thm)],[])).
% 9.54/7.07 tff(41248,plain,
% 9.54/7.07 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s303)) | (~m_main_v_state(s303, c_busy))),
% 9.54/7.07 inference(modus_ponens,[status(thm)],[41247, 41246])).
% 9.54/7.07 tff(41249,plain,
% 9.54/7.07 (~m_main_v_state(s303, c_busy)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41248, 170, 41242])).
% 9.54/7.07 tff(41250,plain,
% 9.54/7.07 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s303, c_busy) | m_main_v_state(s303, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s303, c_busy) | m_main_v_state(s303, c_ready))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41251,plain,
% 9.54/7.07 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s303, c_busy) | m_main_v_state(s303, c_ready))),
% 9.54/7.07 inference(quant_inst,[status(thm)],[])).
% 9.54/7.07 tff(41252,plain,
% 9.54/7.07 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s303, c_busy) | m_main_v_state(s303, c_ready)),
% 9.54/7.07 inference(modus_ponens,[status(thm)],[41251, 41250])).
% 9.54/7.07 tff(41253,plain,
% 9.54/7.07 ($false),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41252, 213, 41249, 41241])).
% 9.54/7.07 tff(41254,plain,((~until5(s303)) | xuntil6(s304) | m_main_v_state(s305, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.54/7.07 tff(41255,plain,
% 9.54/7.07 (~until5(s303)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41254, 41187, 41165])).
% 9.54/7.07 tff(41256,plain,
% 9.54/7.07 (~xuntil6(s302)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12370, 41255])).
% 9.54/7.07 tff(41257,assumption,(~always3(s302)), introduced(assumption)).
% 9.54/7.07 tff(41258,plain,
% 9.54/7.07 (~always3(s301)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[5301, 41257])).
% 9.54/7.07 tff(41259,plain,
% 9.54/7.07 (~node4(s301)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12340, 22, 41258])).
% 9.54/7.07 tff(41260,plain,
% 9.54/7.07 (~node4(s302)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12357, 22, 41257])).
% 9.54/7.07 tff(41261,assumption,(~xuntil6(s302)), introduced(assumption)).
% 9.54/7.07 tff(41262,plain,
% 9.54/7.07 (node4(s302) | (~until5(s302))),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12364, 36, 41261])).
% 9.54/7.07 tff(41263,plain,
% 9.54/7.07 (~until5(s302)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41262, 41260])).
% 9.54/7.07 tff(41264,plain,
% 9.54/7.07 (~xuntil6(s301)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12353, 41263])).
% 9.54/7.07 tff(41265,plain,
% 9.54/7.07 (~until5(s301)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12347, 36, 41264, 41259])).
% 9.54/7.07 tff(41266,plain,
% 9.54/7.07 (~xuntil6(s300)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12336, 41265])).
% 9.54/7.07 tff(41267,plain,
% 9.54/7.07 (~always3(s300)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[5313, 41258])).
% 9.54/7.07 tff(41268,plain,
% 9.54/7.07 (~node4(s300)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12323, 22, 41267])).
% 9.54/7.07 tff(41269,plain,
% 9.54/7.07 (xuntil6(s300) | (~until5(s300))),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12330, 36, 41268])).
% 9.54/7.07 tff(41270,plain,
% 9.54/7.07 (~until5(s300)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41269, 41266])).
% 9.54/7.07 tff(41271,plain,
% 9.54/7.07 (~xuntil6(s299)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12319, 41270])).
% 9.54/7.07 tff(41272,plain,
% 9.54/7.07 (~always3(s299)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[5325, 41267])).
% 9.54/7.07 tff(41273,plain,
% 9.54/7.07 (~node4(s299)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12306, 22, 41272])).
% 9.54/7.07 tff(41274,plain,
% 9.54/7.07 (xuntil6(s299) | (~until5(s299))),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12313, 36, 41273])).
% 9.54/7.07 tff(41275,plain,
% 9.54/7.07 (~until5(s299)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41274, 41271])).
% 9.54/7.07 tff(41276,plain,
% 9.54/7.07 (~xuntil6(s298)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12302, 41275])).
% 9.54/7.07 tff(41277,plain,
% 9.54/7.07 (~always3(s298)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[5337, 41272])).
% 9.54/7.07 tff(41278,plain,
% 9.54/7.07 (~node4(s298)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12289, 22, 41277])).
% 9.54/7.07 tff(41279,plain,
% 9.54/7.07 (xuntil6(s298) | (~until5(s298))),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12296, 36, 41278])).
% 9.54/7.07 tff(41280,plain,
% 9.54/7.07 (~until5(s298)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41279, 41276])).
% 9.54/7.07 tff(41281,plain,
% 9.54/7.07 (~xuntil6(s297)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12285, 41280])).
% 9.54/7.07 tff(41282,plain,
% 9.54/7.07 (~always3(s297)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[5349, 41277])).
% 9.54/7.07 tff(41283,plain,
% 9.54/7.07 (~node4(s297)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12272, 22, 41282])).
% 9.54/7.07 tff(41284,plain,
% 9.54/7.07 (xuntil6(s297) | (~until5(s297))),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12279, 36, 41283])).
% 9.54/7.07 tff(41285,plain,
% 9.54/7.07 (~until5(s297)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41284, 41281])).
% 9.54/7.07 tff(41286,plain,
% 9.54/7.07 (~xuntil6(s296)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12268, 41285])).
% 9.54/7.07 tff(41287,plain,
% 9.54/7.07 (~always3(s296)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[5361, 41282])).
% 9.54/7.07 tff(41288,plain,
% 9.54/7.07 (~always3(s295)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[5373, 41287])).
% 9.54/7.07 tff(41289,plain,
% 9.54/7.07 (~always3(s294)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[5385, 41288])).
% 9.54/7.07 tff(41290,plain,
% 9.54/7.07 (~always3(s293)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[5397, 41289])).
% 9.54/7.07 tff(41291,plain,
% 9.54/7.07 (~always3(s292)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[5409, 41290])).
% 9.54/7.07 tff(41292,plain,
% 9.54/7.07 (~always3(s291)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[5421, 41291])).
% 9.54/7.07 tff(41293,plain,
% 9.54/7.07 (~node4(s291)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12170, 22, 41292])).
% 9.54/7.07 tff(41294,plain,
% 9.54/7.07 (~always3(s290)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[5433, 41292])).
% 9.54/7.07 tff(41295,plain,
% 9.54/7.07 (~node4(s290)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12153, 22, 41294])).
% 9.54/7.07 tff(41296,plain,
% 9.54/7.07 (xuntil6(s290)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[40821, 41295])).
% 9.54/7.07 tff(41297,plain,
% 9.54/7.07 (until5(s291)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12166, 41296])).
% 9.54/7.07 tff(41298,plain,
% 9.54/7.07 (xuntil6(s291)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12177, 36, 41297, 41293])).
% 9.54/7.07 tff(41299,plain,
% 9.54/7.07 (until5(s292)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12183, 41298])).
% 9.54/7.07 tff(41300,plain,
% 9.54/7.07 (~node4(s292)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12187, 22, 41291])).
% 9.54/7.07 tff(41301,plain,
% 9.54/7.07 (xuntil6(s292) | (~until5(s292))),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12194, 36, 41300])).
% 9.54/7.07 tff(41302,plain,
% 9.54/7.07 (xuntil6(s292)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41301, 41299])).
% 9.54/7.07 tff(41303,plain,
% 9.54/7.07 (until5(s293)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12200, 41302])).
% 9.54/7.07 tff(41304,plain,
% 9.54/7.07 (~node4(s293)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12204, 22, 41290])).
% 9.54/7.07 tff(41305,plain,
% 9.54/7.07 (xuntil6(s293) | (~until5(s293))),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12211, 36, 41304])).
% 9.54/7.07 tff(41306,plain,
% 9.54/7.07 (xuntil6(s293)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41305, 41303])).
% 9.54/7.07 tff(41307,plain,
% 9.54/7.07 (until5(s294)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12217, 41306])).
% 9.54/7.07 tff(41308,plain,
% 9.54/7.07 (~node4(s294)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12221, 22, 41289])).
% 9.54/7.07 tff(41309,plain,
% 9.54/7.07 (xuntil6(s294) | (~until5(s294))),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12228, 36, 41308])).
% 9.54/7.07 tff(41310,plain,
% 9.54/7.07 (xuntil6(s294)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41309, 41307])).
% 9.54/7.07 tff(41311,plain,
% 9.54/7.07 (until5(s295)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12234, 41310])).
% 9.54/7.07 tff(41312,plain,
% 9.54/7.07 (~node4(s295)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12238, 22, 41288])).
% 9.54/7.07 tff(41313,plain,
% 9.54/7.07 (xuntil6(s295) | (~until5(s295))),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12245, 36, 41312])).
% 9.54/7.07 tff(41314,plain,
% 9.54/7.07 (xuntil6(s295)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41313, 41311])).
% 9.54/7.07 tff(41315,plain,
% 9.54/7.07 (until5(s296)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12251, 41314])).
% 9.54/7.07 tff(41316,plain,
% 9.54/7.07 (~node4(s296)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12255, 22, 41287])).
% 9.54/7.07 tff(41317,plain,
% 9.54/7.07 (xuntil6(s296) | (~until5(s296))),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12262, 36, 41316])).
% 9.54/7.07 tff(41318,plain,
% 9.54/7.07 ($false),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41317, 41315, 41286])).
% 9.54/7.07 tff(41319,plain,(always3(s302) | (~until5(s290)) | xuntil6(s302)), inference(lemma,lemma(discharge,[]))).
% 9.54/7.07 tff(41320,plain,
% 9.54/7.07 (always3(s302)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41319, 40797, 41256])).
% 9.54/7.07 tff(41321,plain,
% 9.54/7.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s302)) | (~m_main_v_state(s302, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s302)) | (~m_main_v_state(s302, c_busy)))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41322,plain,
% 9.54/7.07 (((~m_main_v_state(s302, c_busy)) | (~always3(s302))) <=> ((~always3(s302)) | (~m_main_v_state(s302, c_busy)))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41323,plain,
% 9.54/7.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s302, c_busy)) | (~always3(s302)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s302)) | (~m_main_v_state(s302, c_busy))))),
% 9.54/7.07 inference(monotonicity,[status(thm)],[41322])).
% 9.54/7.07 tff(41324,plain,
% 9.54/7.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s302, c_busy)) | (~always3(s302)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s302)) | (~m_main_v_state(s302, c_busy)))),
% 9.54/7.07 inference(transitivity,[status(thm)],[41323, 41321])).
% 9.54/7.07 tff(41325,plain,
% 9.54/7.07 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s302, c_busy)) | (~always3(s302)))),
% 9.54/7.07 inference(quant_inst,[status(thm)],[])).
% 9.54/7.07 tff(41326,plain,
% 9.54/7.07 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s302)) | (~m_main_v_state(s302, c_busy))),
% 9.54/7.07 inference(modus_ponens,[status(thm)],[41325, 41324])).
% 9.54/7.07 tff(41327,plain,
% 9.54/7.07 (~m_main_v_state(s302, c_busy)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41326, 170, 41320])).
% 9.54/7.07 tff(41328,plain,
% 9.54/7.07 (always3(s303)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[5289, 41320])).
% 9.54/7.07 tff(41329,plain,
% 9.54/7.07 (~m_main_v_state(s303, c_busy)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41248, 170, 41328])).
% 9.54/7.07 tff(41330,plain,
% 9.54/7.07 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s302, c_busy) | m_main_v_state(s302, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s302, c_busy) | m_main_v_state(s302, c_ready))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41331,plain,
% 9.54/7.07 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s302, c_busy) | m_main_v_state(s302, c_ready))),
% 9.54/7.07 inference(quant_inst,[status(thm)],[])).
% 9.54/7.07 tff(41332,plain,
% 9.54/7.07 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s302, c_busy) | m_main_v_state(s302, c_ready)),
% 9.54/7.07 inference(modus_ponens,[status(thm)],[41331, 41330])).
% 9.54/7.07 tff(41333,plain,
% 9.54/7.07 (m_main_v_state(s302, c_ready)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41332, 213, 41327])).
% 9.54/7.07 tff(41334,plain,
% 9.54/7.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s302, s303)) | node2(s302, s303))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s302, s303)) | node2(s302, s303))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41335,plain,
% 9.54/7.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s302, s303)) | node2(s302, s303))),
% 9.54/7.07 inference(quant_inst,[status(thm)],[])).
% 9.54/7.07 tff(41336,plain,
% 9.54/7.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s302, s303)) | node2(s302, s303)),
% 9.54/7.07 inference(modus_ponens,[status(thm)],[41335, 41334])).
% 9.54/7.07 tff(41337,plain,
% 9.54/7.07 (node2(s302, s303)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41336, 7, 5285])).
% 9.54/7.07 tff(41338,plain,
% 9.54/7.07 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s302, c_ready)) | (~node2(s302, s303)) | m_main_v_state(s303, c_busy) | (~m_main_v_request(s302)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s302, c_ready)) | (~node2(s302, s303)) | m_main_v_state(s303, c_busy) | (~m_main_v_request(s302)))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41339,plain,
% 9.54/7.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s302, c_ready)) | (~node2(s302, s303)) | m_main_v_state(s303, c_busy) | (~m_main_v_request(s302)))),
% 9.54/7.07 inference(quant_inst,[status(thm)],[])).
% 9.54/7.07 tff(41340,plain,
% 9.54/7.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s302, c_ready)) | (~node2(s302, s303)) | m_main_v_state(s303, c_busy) | (~m_main_v_request(s302))),
% 9.54/7.07 inference(modus_ponens,[status(thm)],[41339, 41338])).
% 9.54/7.07 tff(41341,plain,
% 9.54/7.07 ((~m_main_v_state(s302, c_ready)) | m_main_v_state(s303, c_busy) | (~m_main_v_request(s302))),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41340, 191, 41337])).
% 9.54/7.07 tff(41342,plain,
% 9.54/7.07 (~m_main_v_request(s302)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41341, 41333, 41329])).
% 9.54/7.07 tff(41343,plain,
% 9.54/7.07 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s302) | (~node4(s302)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s302) | (~node4(s302)))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41344,plain,
% 9.54/7.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s302) | (~node4(s302)))),
% 9.54/7.07 inference(quant_inst,[status(thm)],[])).
% 9.54/7.07 tff(41345,plain,
% 9.54/7.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s302) | (~node4(s302))),
% 9.54/7.07 inference(modus_ponens,[status(thm)],[41344, 41343])).
% 9.54/7.07 tff(41346,plain,
% 9.54/7.07 (~node4(s302)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41345, 154, 41342])).
% 9.54/7.07 tff(41347,plain,
% 9.54/7.07 (node4(s302) | (~until5(s302))),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12364, 36, 41256])).
% 9.54/7.07 tff(41348,plain,
% 9.54/7.07 (~until5(s302)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41347, 41346])).
% 9.54/7.07 tff(41349,plain,
% 9.54/7.07 (~xuntil6(s301)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12353, 41348])).
% 9.54/7.07 tff(41350,assumption,(~xuntil6(s301)), introduced(assumption)).
% 9.54/7.07 tff(41351,assumption,(until5(s300)), introduced(assumption)).
% 9.54/7.07 tff(41352,assumption,(~always3(s301)), introduced(assumption)).
% 9.54/7.07 tff(41353,plain,
% 9.54/7.07 (~always3(s300)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[5313, 41352])).
% 9.54/7.07 tff(41354,plain,
% 9.54/7.07 (~node4(s300)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12323, 22, 41353])).
% 9.54/7.07 tff(41355,plain,
% 9.54/7.07 (xuntil6(s300) | node4(s300)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12330, 36, 41351])).
% 9.54/7.07 tff(41356,plain,
% 9.54/7.07 (xuntil6(s300)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41355, 41354])).
% 9.54/7.07 tff(41357,plain,
% 9.54/7.07 (until5(s301)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12336, 41356])).
% 9.54/7.07 tff(41358,plain,
% 9.54/7.07 (node4(s301) | (~until5(s301))),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12347, 36, 41350])).
% 9.54/7.07 tff(41359,plain,
% 9.54/7.07 (node4(s301)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41358, 41357])).
% 9.54/7.07 tff(41360,plain,
% 9.54/7.07 ($false),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12340, 22, 41352, 41359])).
% 9.54/7.07 tff(41361,plain,(always3(s301) | xuntil6(s301) | (~until5(s300))), inference(lemma,lemma(discharge,[]))).
% 9.54/7.07 tff(41362,plain,
% 9.54/7.07 (always3(s301)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41361, 41351, 41350])).
% 9.54/7.07 tff(41363,plain,
% 9.54/7.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s301)) | (~m_main_v_state(s301, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s301)) | (~m_main_v_state(s301, c_busy)))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41364,plain,
% 9.54/7.07 (((~m_main_v_state(s301, c_busy)) | (~always3(s301))) <=> ((~always3(s301)) | (~m_main_v_state(s301, c_busy)))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41365,plain,
% 9.54/7.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s301, c_busy)) | (~always3(s301)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s301)) | (~m_main_v_state(s301, c_busy))))),
% 9.54/7.07 inference(monotonicity,[status(thm)],[41364])).
% 9.54/7.07 tff(41366,plain,
% 9.54/7.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s301, c_busy)) | (~always3(s301)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s301)) | (~m_main_v_state(s301, c_busy)))),
% 9.54/7.07 inference(transitivity,[status(thm)],[41365, 41363])).
% 9.54/7.07 tff(41367,plain,
% 9.54/7.07 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s301, c_busy)) | (~always3(s301)))),
% 9.54/7.07 inference(quant_inst,[status(thm)],[])).
% 9.54/7.07 tff(41368,plain,
% 9.54/7.07 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s301)) | (~m_main_v_state(s301, c_busy))),
% 9.54/7.07 inference(modus_ponens,[status(thm)],[41367, 41366])).
% 9.54/7.07 tff(41369,plain,
% 9.54/7.07 (~m_main_v_state(s301, c_busy)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41368, 170, 41362])).
% 9.54/7.07 tff(41370,assumption,(~m_main_v_state(s302, c_busy)), introduced(assumption)).
% 9.54/7.07 tff(41371,plain,
% 9.54/7.07 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s301, c_busy) | m_main_v_state(s301, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s301, c_busy) | m_main_v_state(s301, c_ready))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41372,plain,
% 9.54/7.07 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s301, c_busy) | m_main_v_state(s301, c_ready))),
% 9.54/7.07 inference(quant_inst,[status(thm)],[])).
% 9.54/7.07 tff(41373,plain,
% 9.54/7.07 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s301, c_busy) | m_main_v_state(s301, c_ready)),
% 9.54/7.07 inference(modus_ponens,[status(thm)],[41372, 41371])).
% 9.54/7.07 tff(41374,plain,
% 9.54/7.07 (m_main_v_state(s301, c_ready)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41373, 213, 41369])).
% 9.54/7.07 tff(41375,plain,
% 9.54/7.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s301, s302)) | node2(s301, s302))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s301, s302)) | node2(s301, s302))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41376,plain,
% 9.54/7.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s301, s302)) | node2(s301, s302))),
% 9.54/7.07 inference(quant_inst,[status(thm)],[])).
% 9.54/7.07 tff(41377,plain,
% 9.54/7.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s301, s302)) | node2(s301, s302)),
% 9.54/7.07 inference(modus_ponens,[status(thm)],[41376, 41375])).
% 9.54/7.07 tff(41378,plain,
% 9.54/7.07 (node2(s301, s302)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41377, 7, 5297])).
% 9.54/7.07 tff(41379,plain,
% 9.54/7.07 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s301, c_ready)) | (~node2(s301, s302)) | m_main_v_state(s302, c_busy) | (~m_main_v_request(s301)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s301, c_ready)) | (~node2(s301, s302)) | m_main_v_state(s302, c_busy) | (~m_main_v_request(s301)))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41380,plain,
% 9.54/7.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s301, c_ready)) | (~node2(s301, s302)) | m_main_v_state(s302, c_busy) | (~m_main_v_request(s301)))),
% 9.54/7.07 inference(quant_inst,[status(thm)],[])).
% 9.54/7.07 tff(41381,plain,
% 9.54/7.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s301, c_ready)) | (~node2(s301, s302)) | m_main_v_state(s302, c_busy) | (~m_main_v_request(s301))),
% 9.54/7.07 inference(modus_ponens,[status(thm)],[41380, 41379])).
% 9.54/7.07 tff(41382,plain,
% 9.54/7.07 ((~m_main_v_state(s301, c_ready)) | m_main_v_state(s302, c_busy) | (~m_main_v_request(s301))),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41381, 191, 41378])).
% 9.54/7.07 tff(41383,plain,
% 9.54/7.07 (~m_main_v_request(s301)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41382, 41374, 41370])).
% 9.54/7.07 tff(41384,plain,
% 9.54/7.07 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s301) | (~node4(s301)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s301) | (~node4(s301)))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41385,plain,
% 9.54/7.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s301) | (~node4(s301)))),
% 9.54/7.07 inference(quant_inst,[status(thm)],[])).
% 9.54/7.07 tff(41386,plain,
% 9.54/7.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s301) | (~node4(s301))),
% 9.54/7.07 inference(modus_ponens,[status(thm)],[41385, 41384])).
% 9.54/7.07 tff(41387,plain,
% 9.54/7.07 (~node4(s301)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41386, 154, 41383])).
% 9.54/7.07 tff(41388,plain,
% 9.54/7.07 (~until5(s301)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41358, 41387])).
% 9.54/7.07 tff(41389,plain,
% 9.54/7.07 (~xuntil6(s300)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12336, 41388])).
% 9.54/7.07 tff(41390,plain,
% 9.54/7.07 (node4(s300)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41355, 41389])).
% 9.54/7.07 tff(41391,plain,
% 9.54/7.07 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s300) | (~node4(s300)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s300) | (~node4(s300)))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41392,plain,
% 9.54/7.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s300) | (~node4(s300)))),
% 9.54/7.07 inference(quant_inst,[status(thm)],[])).
% 9.54/7.07 tff(41393,plain,
% 9.54/7.07 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s300) | (~node4(s300))),
% 9.54/7.07 inference(modus_ponens,[status(thm)],[41392, 41391])).
% 9.54/7.07 tff(41394,plain,
% 9.54/7.07 (m_main_v_request(s300)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41393, 154, 41390])).
% 9.54/7.07 tff(41395,plain,
% 9.54/7.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s300, s301)) | node2(s300, s301))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s300, s301)) | node2(s300, s301))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41396,plain,
% 9.54/7.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s300, s301)) | node2(s300, s301))),
% 9.54/7.07 inference(quant_inst,[status(thm)],[])).
% 9.54/7.07 tff(41397,plain,
% 9.54/7.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s300, s301)) | node2(s300, s301)),
% 9.54/7.07 inference(modus_ponens,[status(thm)],[41396, 41395])).
% 9.54/7.07 tff(41398,plain,
% 9.54/7.07 (node2(s300, s301)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41397, 7, 5309])).
% 9.54/7.07 tff(41399,plain,
% 9.54/7.07 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s300, c_ready)) | (~node2(s300, s301)) | m_main_v_state(s301, c_busy) | (~m_main_v_request(s300)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s300, c_ready)) | (~node2(s300, s301)) | m_main_v_state(s301, c_busy) | (~m_main_v_request(s300)))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41400,plain,
% 9.54/7.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s300, c_ready)) | (~node2(s300, s301)) | m_main_v_state(s301, c_busy) | (~m_main_v_request(s300)))),
% 9.54/7.07 inference(quant_inst,[status(thm)],[])).
% 9.54/7.07 tff(41401,plain,
% 9.54/7.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s300, c_ready)) | (~node2(s300, s301)) | m_main_v_state(s301, c_busy) | (~m_main_v_request(s300))),
% 9.54/7.07 inference(modus_ponens,[status(thm)],[41400, 41399])).
% 9.54/7.07 tff(41402,plain,
% 9.54/7.07 ((~m_main_v_state(s300, c_ready)) | m_main_v_state(s301, c_busy) | (~m_main_v_request(s300))),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41401, 191, 41398])).
% 9.54/7.07 tff(41403,plain,
% 9.54/7.07 (~m_main_v_state(s300, c_ready)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41402, 41394, 41369])).
% 9.54/7.07 tff(41404,plain,
% 9.54/7.07 (always3(s300)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12323, 22, 41390])).
% 9.54/7.07 tff(41405,plain,
% 9.54/7.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s300)) | (~m_main_v_state(s300, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s300)) | (~m_main_v_state(s300, c_busy)))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41406,plain,
% 9.54/7.07 (((~m_main_v_state(s300, c_busy)) | (~always3(s300))) <=> ((~always3(s300)) | (~m_main_v_state(s300, c_busy)))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41407,plain,
% 9.54/7.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s300, c_busy)) | (~always3(s300)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s300)) | (~m_main_v_state(s300, c_busy))))),
% 9.54/7.07 inference(monotonicity,[status(thm)],[41406])).
% 9.54/7.07 tff(41408,plain,
% 9.54/7.07 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s300, c_busy)) | (~always3(s300)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s300)) | (~m_main_v_state(s300, c_busy)))),
% 9.54/7.07 inference(transitivity,[status(thm)],[41407, 41405])).
% 9.54/7.07 tff(41409,plain,
% 9.54/7.07 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s300, c_busy)) | (~always3(s300)))),
% 9.54/7.07 inference(quant_inst,[status(thm)],[])).
% 9.54/7.07 tff(41410,plain,
% 9.54/7.07 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s300)) | (~m_main_v_state(s300, c_busy))),
% 9.54/7.07 inference(modus_ponens,[status(thm)],[41409, 41408])).
% 9.54/7.07 tff(41411,plain,
% 9.54/7.07 (~m_main_v_state(s300, c_busy)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41410, 170, 41404])).
% 9.54/7.07 tff(41412,plain,
% 9.54/7.07 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s300, c_busy) | m_main_v_state(s300, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s300, c_busy) | m_main_v_state(s300, c_ready))),
% 9.54/7.07 inference(rewrite,[status(thm)],[])).
% 9.54/7.07 tff(41413,plain,
% 9.54/7.07 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s300, c_busy) | m_main_v_state(s300, c_ready))),
% 9.54/7.07 inference(quant_inst,[status(thm)],[])).
% 9.54/7.07 tff(41414,plain,
% 9.54/7.07 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s300, c_busy) | m_main_v_state(s300, c_ready)),
% 9.54/7.07 inference(modus_ponens,[status(thm)],[41413, 41412])).
% 9.54/7.07 tff(41415,plain,
% 9.54/7.07 ($false),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41414, 213, 41411, 41403])).
% 9.54/7.07 tff(41416,plain,((~until5(s300)) | xuntil6(s301) | m_main_v_state(s302, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.54/7.07 tff(41417,plain,
% 9.54/7.07 (~until5(s300)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41416, 41349, 41327])).
% 9.54/7.07 tff(41418,plain,
% 9.54/7.07 (~xuntil6(s299)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12319, 41417])).
% 9.54/7.07 tff(41419,assumption,(~always3(s299)), introduced(assumption)).
% 9.54/7.07 tff(41420,plain,
% 9.54/7.07 (~always3(s298)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[5337, 41419])).
% 9.54/7.07 tff(41421,plain,
% 9.54/7.07 (~node4(s298)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12289, 22, 41420])).
% 9.54/7.07 tff(41422,plain,
% 9.54/7.07 (~node4(s299)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12306, 22, 41419])).
% 9.54/7.07 tff(41423,assumption,(~xuntil6(s299)), introduced(assumption)).
% 9.54/7.07 tff(41424,plain,
% 9.54/7.07 (node4(s299) | (~until5(s299))),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12313, 36, 41423])).
% 9.54/7.07 tff(41425,plain,
% 9.54/7.07 (~until5(s299)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41424, 41422])).
% 9.54/7.07 tff(41426,plain,
% 9.54/7.07 (~xuntil6(s298)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12302, 41425])).
% 9.54/7.07 tff(41427,plain,
% 9.54/7.07 (~until5(s298)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12296, 36, 41426, 41421])).
% 9.54/7.07 tff(41428,plain,
% 9.54/7.07 (~xuntil6(s297)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12285, 41427])).
% 9.54/7.07 tff(41429,plain,
% 9.54/7.07 (~always3(s297)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[5349, 41420])).
% 9.54/7.07 tff(41430,plain,
% 9.54/7.07 (~node4(s297)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12272, 22, 41429])).
% 9.54/7.07 tff(41431,plain,
% 9.54/7.07 (xuntil6(s297) | (~until5(s297))),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12279, 36, 41430])).
% 9.54/7.07 tff(41432,plain,
% 9.54/7.07 (~until5(s297)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41431, 41428])).
% 9.54/7.07 tff(41433,plain,
% 9.54/7.07 (~xuntil6(s296)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12268, 41432])).
% 9.54/7.07 tff(41434,plain,
% 9.54/7.07 (~always3(s296)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[5361, 41429])).
% 9.54/7.07 tff(41435,plain,
% 9.54/7.07 (~node4(s296)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12255, 22, 41434])).
% 9.54/7.07 tff(41436,plain,
% 9.54/7.07 (xuntil6(s296) | (~until5(s296))),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12262, 36, 41435])).
% 9.54/7.07 tff(41437,plain,
% 9.54/7.07 (~until5(s296)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41436, 41433])).
% 9.54/7.07 tff(41438,plain,
% 9.54/7.07 (~xuntil6(s295)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12251, 41437])).
% 9.54/7.07 tff(41439,plain,
% 9.54/7.07 (~always3(s295)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[5373, 41434])).
% 9.54/7.07 tff(41440,plain,
% 9.54/7.07 (~node4(s295)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12238, 22, 41439])).
% 9.54/7.07 tff(41441,plain,
% 9.54/7.07 (xuntil6(s295) | (~until5(s295))),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12245, 36, 41440])).
% 9.54/7.07 tff(41442,plain,
% 9.54/7.07 (~until5(s295)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41441, 41438])).
% 9.54/7.07 tff(41443,plain,
% 9.54/7.07 (~always3(s294)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[5385, 41439])).
% 9.54/7.07 tff(41444,plain,
% 9.54/7.07 (~always3(s293)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[5397, 41443])).
% 9.54/7.07 tff(41445,plain,
% 9.54/7.07 (~always3(s292)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[5409, 41444])).
% 9.54/7.07 tff(41446,plain,
% 9.54/7.07 (~always3(s291)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[5421, 41445])).
% 9.54/7.07 tff(41447,plain,
% 9.54/7.07 (~node4(s291)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12170, 22, 41446])).
% 9.54/7.07 tff(41448,plain,
% 9.54/7.07 (~always3(s290)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[5433, 41446])).
% 9.54/7.07 tff(41449,plain,
% 9.54/7.07 (~node4(s290)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12153, 22, 41448])).
% 9.54/7.07 tff(41450,plain,
% 9.54/7.07 (xuntil6(s290)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[40821, 41449])).
% 9.54/7.07 tff(41451,plain,
% 9.54/7.07 (until5(s291)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12166, 41450])).
% 9.54/7.07 tff(41452,plain,
% 9.54/7.07 (xuntil6(s291)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12177, 36, 41451, 41447])).
% 9.54/7.07 tff(41453,plain,
% 9.54/7.07 (until5(s292)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12183, 41452])).
% 9.54/7.07 tff(41454,plain,
% 9.54/7.07 (~node4(s292)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12187, 22, 41445])).
% 9.54/7.07 tff(41455,plain,
% 9.54/7.07 (xuntil6(s292) | (~until5(s292))),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12194, 36, 41454])).
% 9.54/7.07 tff(41456,plain,
% 9.54/7.07 (xuntil6(s292)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[41455, 41453])).
% 9.54/7.07 tff(41457,plain,
% 9.54/7.07 (until5(s293)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12200, 41456])).
% 9.54/7.07 tff(41458,plain,
% 9.54/7.07 (~node4(s293)),
% 9.54/7.07 inference(unit_resolution,[status(thm)],[12204, 22, 41444])).
% 9.54/7.08 tff(41459,plain,
% 9.54/7.08 (xuntil6(s293) | (~until5(s293))),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12211, 36, 41458])).
% 9.54/7.08 tff(41460,plain,
% 9.54/7.08 (xuntil6(s293)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41459, 41457])).
% 9.54/7.08 tff(41461,plain,
% 9.54/7.08 (until5(s294)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12217, 41460])).
% 9.54/7.08 tff(41462,plain,
% 9.54/7.08 (~node4(s294)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12221, 22, 41443])).
% 9.54/7.08 tff(41463,plain,
% 9.54/7.08 (xuntil6(s294) | (~until5(s294))),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12228, 36, 41462])).
% 9.54/7.08 tff(41464,plain,
% 9.54/7.08 (xuntil6(s294)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41463, 41461])).
% 9.54/7.08 tff(41465,plain,
% 9.54/7.08 ($false),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12234, 41464, 41442])).
% 9.54/7.08 tff(41466,plain,(always3(s299) | (~until5(s290)) | xuntil6(s299)), inference(lemma,lemma(discharge,[]))).
% 9.54/7.08 tff(41467,plain,
% 9.54/7.08 (always3(s299)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41466, 40797, 41418])).
% 9.54/7.08 tff(41468,plain,
% 9.54/7.08 (((~![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)))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41469,plain,
% 9.54/7.08 (((~m_main_v_state(s299, c_busy)) | (~always3(s299))) <=> ((~always3(s299)) | (~m_main_v_state(s299, c_busy)))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41470,plain,
% 9.54/7.08 (((~![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))))),
% 9.54/7.08 inference(monotonicity,[status(thm)],[41469])).
% 9.54/7.08 tff(41471,plain,
% 9.54/7.08 (((~![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)))),
% 9.54/7.08 inference(transitivity,[status(thm)],[41470, 41468])).
% 9.54/7.08 tff(41472,plain,
% 9.54/7.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s299, c_busy)) | (~always3(s299)))),
% 9.54/7.08 inference(quant_inst,[status(thm)],[])).
% 9.54/7.08 tff(41473,plain,
% 9.54/7.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s299)) | (~m_main_v_state(s299, c_busy))),
% 9.54/7.08 inference(modus_ponens,[status(thm)],[41472, 41471])).
% 9.54/7.08 tff(41474,plain,
% 9.54/7.08 (~m_main_v_state(s299, c_busy)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41473, 170, 41467])).
% 9.54/7.08 tff(41475,assumption,(~m_main_v_state(s299, c_busy)), introduced(assumption)).
% 9.54/7.08 tff(41476,assumption,(node4(s298)), introduced(assumption)).
% 9.54/7.08 tff(41477,plain,
% 9.54/7.08 (((~![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)))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41478,plain,
% 9.54/7.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s298) | (~node4(s298)))),
% 9.54/7.08 inference(quant_inst,[status(thm)],[])).
% 9.54/7.08 tff(41479,plain,
% 9.54/7.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s298) | (~node4(s298))),
% 9.54/7.08 inference(modus_ponens,[status(thm)],[41478, 41477])).
% 9.54/7.08 tff(41480,plain,
% 9.54/7.08 (m_main_v_request(s298)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41479, 154, 41476])).
% 9.54/7.08 tff(41481,plain,
% 9.54/7.08 (((~![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))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41482,plain,
% 9.54/7.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s298, s299)) | node2(s298, s299))),
% 9.54/7.08 inference(quant_inst,[status(thm)],[])).
% 9.54/7.08 tff(41483,plain,
% 9.54/7.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s298, s299)) | node2(s298, s299)),
% 9.54/7.08 inference(modus_ponens,[status(thm)],[41482, 41481])).
% 9.54/7.08 tff(41484,plain,
% 9.54/7.08 (node2(s298, s299)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41483, 7, 5333])).
% 9.54/7.08 tff(41485,plain,
% 9.54/7.08 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41486,plain,
% 9.54/7.08 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.54/7.08 inference(quant_inst,[status(thm)],[])).
% 9.54/7.08 tff(41487,plain,
% 9.54/7.08 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 9.54/7.08 inference(modus_ponens,[status(thm)],[41486, 41485])).
% 9.54/7.08 tff(41488,plain,
% 9.54/7.08 ((~m_main_v_state(s298, c_ready)) | m_main_v_state(s299, c_busy) | (~m_main_v_request(s298))),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41487, 191, 41484])).
% 9.54/7.08 tff(41489,plain,
% 9.54/7.08 (~m_main_v_state(s298, c_ready)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41488, 41480, 41475])).
% 9.54/7.08 tff(41490,plain,
% 9.54/7.08 (always3(s298)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12289, 22, 41476])).
% 9.54/7.08 tff(41491,plain,
% 9.54/7.08 (((~![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)))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41492,plain,
% 9.54/7.08 (((~m_main_v_state(s298, c_busy)) | (~always3(s298))) <=> ((~always3(s298)) | (~m_main_v_state(s298, c_busy)))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41493,plain,
% 9.54/7.08 (((~![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))))),
% 9.54/7.08 inference(monotonicity,[status(thm)],[41492])).
% 9.54/7.08 tff(41494,plain,
% 9.54/7.08 (((~![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)))),
% 9.54/7.08 inference(transitivity,[status(thm)],[41493, 41491])).
% 9.54/7.08 tff(41495,plain,
% 9.54/7.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s298, c_busy)) | (~always3(s298)))),
% 9.54/7.08 inference(quant_inst,[status(thm)],[])).
% 9.54/7.08 tff(41496,plain,
% 9.54/7.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s298)) | (~m_main_v_state(s298, c_busy))),
% 9.54/7.08 inference(modus_ponens,[status(thm)],[41495, 41494])).
% 9.54/7.08 tff(41497,plain,
% 9.54/7.08 (~m_main_v_state(s298, c_busy)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41496, 170, 41490])).
% 9.54/7.08 tff(41498,plain,
% 9.54/7.08 (((~![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))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41499,plain,
% 9.54/7.08 ((~![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))),
% 9.54/7.08 inference(quant_inst,[status(thm)],[])).
% 9.54/7.08 tff(41500,plain,
% 9.54/7.08 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s298, c_busy) | m_main_v_state(s298, c_ready)),
% 9.54/7.08 inference(modus_ponens,[status(thm)],[41499, 41498])).
% 9.54/7.08 tff(41501,plain,
% 9.54/7.08 ($false),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41500, 213, 41497, 41489])).
% 9.54/7.08 tff(41502,plain,((~node4(s298)) | m_main_v_state(s299, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.54/7.08 tff(41503,plain,
% 9.54/7.08 (~node4(s298)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41502, 41474])).
% 9.54/7.08 tff(41504,plain,
% 9.54/7.08 (always3(s300)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[5325, 41467])).
% 9.54/7.08 tff(41505,plain,
% 9.54/7.08 (~m_main_v_state(s300, c_busy)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41410, 170, 41504])).
% 9.54/7.08 tff(41506,plain,
% 9.54/7.08 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s299, c_busy) | m_main_v_state(s299, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s299, c_busy) | m_main_v_state(s299, c_ready))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41507,plain,
% 9.54/7.08 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s299, c_busy) | m_main_v_state(s299, c_ready))),
% 9.54/7.08 inference(quant_inst,[status(thm)],[])).
% 9.54/7.08 tff(41508,plain,
% 9.54/7.08 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s299, c_busy) | m_main_v_state(s299, c_ready)),
% 9.54/7.08 inference(modus_ponens,[status(thm)],[41507, 41506])).
% 9.54/7.08 tff(41509,plain,
% 9.54/7.08 (m_main_v_state(s299, c_ready)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41508, 213, 41474])).
% 9.54/7.08 tff(41510,plain,
% 9.54/7.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s299, s300)) | node2(s299, s300))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s299, s300)) | node2(s299, s300))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41511,plain,
% 9.54/7.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s299, s300)) | node2(s299, s300))),
% 9.54/7.08 inference(quant_inst,[status(thm)],[])).
% 9.54/7.08 tff(41512,plain,
% 9.54/7.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s299, s300)) | node2(s299, s300)),
% 9.54/7.08 inference(modus_ponens,[status(thm)],[41511, 41510])).
% 9.54/7.08 tff(41513,plain,
% 9.54/7.08 (node2(s299, s300)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41512, 7, 5321])).
% 9.54/7.08 tff(41514,plain,
% 9.54/7.08 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s299, c_ready)) | (~node2(s299, s300)) | m_main_v_state(s300, c_busy) | (~m_main_v_request(s299)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s299, c_ready)) | (~node2(s299, s300)) | m_main_v_state(s300, c_busy) | (~m_main_v_request(s299)))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41515,plain,
% 9.54/7.08 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s299, c_ready)) | (~node2(s299, s300)) | m_main_v_state(s300, c_busy) | (~m_main_v_request(s299)))),
% 9.54/7.08 inference(quant_inst,[status(thm)],[])).
% 9.54/7.08 tff(41516,plain,
% 9.54/7.08 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s299, c_ready)) | (~node2(s299, s300)) | m_main_v_state(s300, c_busy) | (~m_main_v_request(s299))),
% 9.54/7.08 inference(modus_ponens,[status(thm)],[41515, 41514])).
% 9.54/7.08 tff(41517,plain,
% 9.54/7.08 ((~m_main_v_state(s299, c_ready)) | m_main_v_state(s300, c_busy) | (~m_main_v_request(s299))),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41516, 191, 41513])).
% 9.54/7.08 tff(41518,plain,
% 9.54/7.08 (~m_main_v_request(s299)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41517, 41509, 41505])).
% 9.54/7.08 tff(41519,plain,
% 9.54/7.08 (((~![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)))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41520,plain,
% 9.54/7.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s299) | (~node4(s299)))),
% 9.54/7.08 inference(quant_inst,[status(thm)],[])).
% 9.54/7.08 tff(41521,plain,
% 9.54/7.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s299) | (~node4(s299))),
% 9.54/7.08 inference(modus_ponens,[status(thm)],[41520, 41519])).
% 9.54/7.08 tff(41522,plain,
% 9.54/7.08 (~node4(s299)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41521, 154, 41518])).
% 9.54/7.08 tff(41523,plain,
% 9.54/7.08 (node4(s299) | (~until5(s299))),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12313, 36, 41418])).
% 9.54/7.08 tff(41524,plain,
% 9.54/7.08 (~until5(s299)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41523, 41522])).
% 9.54/7.08 tff(41525,plain,
% 9.54/7.08 (~xuntil6(s298)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12302, 41524])).
% 9.54/7.08 tff(41526,plain,
% 9.54/7.08 (node4(s298) | (~until5(s298))),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12296, 36, 41525])).
% 9.54/7.08 tff(41527,plain,
% 9.54/7.08 (~until5(s298)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41526, 41503])).
% 9.54/7.08 tff(41528,plain,
% 9.54/7.08 (~xuntil6(s297)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12285, 41527])).
% 9.54/7.08 tff(41529,assumption,(~always3(s297)), introduced(assumption)).
% 9.54/7.08 tff(41530,plain,
% 9.54/7.08 (~always3(s296)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[5361, 41529])).
% 9.54/7.08 tff(41531,plain,
% 9.54/7.08 (~node4(s296)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12255, 22, 41530])).
% 9.54/7.08 tff(41532,plain,
% 9.54/7.08 (~node4(s297)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12272, 22, 41529])).
% 9.54/7.08 tff(41533,assumption,(~xuntil6(s297)), introduced(assumption)).
% 9.54/7.08 tff(41534,plain,
% 9.54/7.08 (node4(s297) | (~until5(s297))),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12279, 36, 41533])).
% 9.54/7.08 tff(41535,plain,
% 9.54/7.08 (~until5(s297)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41534, 41532])).
% 9.54/7.08 tff(41536,plain,
% 9.54/7.08 (~xuntil6(s296)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12268, 41535])).
% 9.54/7.08 tff(41537,plain,
% 9.54/7.08 (~until5(s296)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12262, 36, 41536, 41531])).
% 9.54/7.08 tff(41538,plain,
% 9.54/7.08 (~xuntil6(s295)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12251, 41537])).
% 9.54/7.08 tff(41539,plain,
% 9.54/7.08 (~always3(s295)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[5373, 41530])).
% 9.54/7.08 tff(41540,plain,
% 9.54/7.08 (~node4(s295)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12238, 22, 41539])).
% 9.54/7.08 tff(41541,plain,
% 9.54/7.08 (xuntil6(s295) | (~until5(s295))),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12245, 36, 41540])).
% 9.54/7.08 tff(41542,plain,
% 9.54/7.08 (~until5(s295)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41541, 41538])).
% 9.54/7.08 tff(41543,plain,
% 9.54/7.08 (~xuntil6(s294)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12234, 41542])).
% 9.54/7.08 tff(41544,plain,
% 9.54/7.08 (~always3(s294)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[5385, 41539])).
% 9.54/7.08 tff(41545,plain,
% 9.54/7.08 (~node4(s294)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12221, 22, 41544])).
% 9.54/7.08 tff(41546,plain,
% 9.54/7.08 (xuntil6(s294) | (~until5(s294))),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12228, 36, 41545])).
% 9.54/7.08 tff(41547,plain,
% 9.54/7.08 (~until5(s294)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41546, 41543])).
% 9.54/7.08 tff(41548,plain,
% 9.54/7.08 (~always3(s293)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[5397, 41544])).
% 9.54/7.08 tff(41549,plain,
% 9.54/7.08 (~always3(s292)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[5409, 41548])).
% 9.54/7.08 tff(41550,plain,
% 9.54/7.08 (~always3(s291)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[5421, 41549])).
% 9.54/7.08 tff(41551,plain,
% 9.54/7.08 (~node4(s291)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12170, 22, 41550])).
% 9.54/7.08 tff(41552,plain,
% 9.54/7.08 (~always3(s290)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[5433, 41550])).
% 9.54/7.08 tff(41553,plain,
% 9.54/7.08 (~node4(s290)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12153, 22, 41552])).
% 9.54/7.08 tff(41554,plain,
% 9.54/7.08 (xuntil6(s290)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[40821, 41553])).
% 9.54/7.08 tff(41555,plain,
% 9.54/7.08 (until5(s291)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12166, 41554])).
% 9.54/7.08 tff(41556,plain,
% 9.54/7.08 (xuntil6(s291)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12177, 36, 41555, 41551])).
% 9.54/7.08 tff(41557,plain,
% 9.54/7.08 (until5(s292)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12183, 41556])).
% 9.54/7.08 tff(41558,plain,
% 9.54/7.08 (~node4(s292)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12187, 22, 41549])).
% 9.54/7.08 tff(41559,plain,
% 9.54/7.08 (xuntil6(s292) | (~until5(s292))),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12194, 36, 41558])).
% 9.54/7.08 tff(41560,plain,
% 9.54/7.08 (xuntil6(s292)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41559, 41557])).
% 9.54/7.08 tff(41561,plain,
% 9.54/7.08 (until5(s293)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12200, 41560])).
% 9.54/7.08 tff(41562,plain,
% 9.54/7.08 (~node4(s293)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12204, 22, 41548])).
% 9.54/7.08 tff(41563,plain,
% 9.54/7.08 (xuntil6(s293) | (~until5(s293))),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12211, 36, 41562])).
% 9.54/7.08 tff(41564,plain,
% 9.54/7.08 (xuntil6(s293)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41563, 41561])).
% 9.54/7.08 tff(41565,plain,
% 9.54/7.08 ($false),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12217, 41564, 41547])).
% 9.54/7.08 tff(41566,plain,(always3(s297) | (~until5(s290)) | xuntil6(s297)), inference(lemma,lemma(discharge,[]))).
% 9.54/7.08 tff(41567,plain,
% 9.54/7.08 (always3(s297)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41566, 40797, 41528])).
% 9.54/7.08 tff(41568,plain,
% 9.54/7.08 (((~![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)))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41569,plain,
% 9.54/7.08 (((~m_main_v_state(s297, c_busy)) | (~always3(s297))) <=> ((~always3(s297)) | (~m_main_v_state(s297, c_busy)))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41570,plain,
% 9.54/7.08 (((~![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))))),
% 9.54/7.08 inference(monotonicity,[status(thm)],[41569])).
% 9.54/7.08 tff(41571,plain,
% 9.54/7.08 (((~![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)))),
% 9.54/7.08 inference(transitivity,[status(thm)],[41570, 41568])).
% 9.54/7.08 tff(41572,plain,
% 9.54/7.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s297, c_busy)) | (~always3(s297)))),
% 9.54/7.08 inference(quant_inst,[status(thm)],[])).
% 9.54/7.08 tff(41573,plain,
% 9.54/7.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s297)) | (~m_main_v_state(s297, c_busy))),
% 9.54/7.08 inference(modus_ponens,[status(thm)],[41572, 41571])).
% 9.54/7.08 tff(41574,plain,
% 9.54/7.08 (~m_main_v_state(s297, c_busy)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41573, 170, 41567])).
% 9.54/7.08 tff(41575,plain,
% 9.54/7.08 (always3(s298)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[5349, 41567])).
% 9.54/7.08 tff(41576,plain,
% 9.54/7.08 (~m_main_v_state(s298, c_busy)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41496, 170, 41575])).
% 9.54/7.08 tff(41577,plain,
% 9.54/7.08 (((~![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))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41578,plain,
% 9.54/7.08 ((~![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))),
% 9.54/7.08 inference(quant_inst,[status(thm)],[])).
% 9.54/7.08 tff(41579,plain,
% 9.54/7.08 ((~![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)),
% 9.54/7.08 inference(modus_ponens,[status(thm)],[41578, 41577])).
% 9.54/7.08 tff(41580,plain,
% 9.54/7.08 (m_main_v_state(s297, c_ready)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41579, 213, 41574])).
% 9.54/7.08 tff(41581,plain,
% 9.54/7.08 (((~![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))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41582,plain,
% 9.54/7.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s297, s298)) | node2(s297, s298))),
% 9.54/7.08 inference(quant_inst,[status(thm)],[])).
% 9.54/7.08 tff(41583,plain,
% 9.54/7.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s297, s298)) | node2(s297, s298)),
% 9.54/7.08 inference(modus_ponens,[status(thm)],[41582, 41581])).
% 9.54/7.08 tff(41584,plain,
% 9.54/7.08 (node2(s297, s298)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41583, 7, 5345])).
% 9.54/7.08 tff(41585,plain,
% 9.54/7.08 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41586,plain,
% 9.54/7.08 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.54/7.08 inference(quant_inst,[status(thm)],[])).
% 9.54/7.08 tff(41587,plain,
% 9.54/7.08 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 9.54/7.08 inference(modus_ponens,[status(thm)],[41586, 41585])).
% 9.54/7.08 tff(41588,plain,
% 9.54/7.08 ((~m_main_v_state(s297, c_ready)) | m_main_v_state(s298, c_busy) | (~m_main_v_request(s297))),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41587, 191, 41584])).
% 9.54/7.08 tff(41589,plain,
% 9.54/7.08 (~m_main_v_request(s297)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41588, 41580, 41576])).
% 9.54/7.08 tff(41590,plain,
% 9.54/7.08 (((~![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)))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41591,plain,
% 9.54/7.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s297) | (~node4(s297)))),
% 9.54/7.08 inference(quant_inst,[status(thm)],[])).
% 9.54/7.08 tff(41592,plain,
% 9.54/7.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s297) | (~node4(s297))),
% 9.54/7.08 inference(modus_ponens,[status(thm)],[41591, 41590])).
% 9.54/7.08 tff(41593,plain,
% 9.54/7.08 (~node4(s297)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41592, 154, 41589])).
% 9.54/7.08 tff(41594,plain,
% 9.54/7.08 (node4(s297) | (~until5(s297))),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12279, 36, 41528])).
% 9.54/7.08 tff(41595,plain,
% 9.54/7.08 (~until5(s297)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41594, 41593])).
% 9.54/7.08 tff(41596,plain,
% 9.54/7.08 (~xuntil6(s296)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12268, 41595])).
% 9.54/7.08 tff(41597,assumption,(~xuntil6(s296)), introduced(assumption)).
% 9.54/7.08 tff(41598,assumption,(until5(s295)), introduced(assumption)).
% 9.54/7.08 tff(41599,assumption,(~always3(s296)), introduced(assumption)).
% 9.54/7.08 tff(41600,plain,
% 9.54/7.08 (~always3(s295)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[5373, 41599])).
% 9.54/7.08 tff(41601,plain,
% 9.54/7.08 (~node4(s295)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12238, 22, 41600])).
% 9.54/7.08 tff(41602,plain,
% 9.54/7.08 (xuntil6(s295) | node4(s295)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12245, 36, 41598])).
% 9.54/7.08 tff(41603,plain,
% 9.54/7.08 (xuntil6(s295)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41602, 41601])).
% 9.54/7.08 tff(41604,plain,
% 9.54/7.08 (until5(s296)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12251, 41603])).
% 9.54/7.08 tff(41605,plain,
% 9.54/7.08 (node4(s296) | (~until5(s296))),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12262, 36, 41597])).
% 9.54/7.08 tff(41606,plain,
% 9.54/7.08 (node4(s296)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41605, 41604])).
% 9.54/7.08 tff(41607,plain,
% 9.54/7.08 ($false),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12255, 22, 41599, 41606])).
% 9.54/7.08 tff(41608,plain,(always3(s296) | xuntil6(s296) | (~until5(s295))), inference(lemma,lemma(discharge,[]))).
% 9.54/7.08 tff(41609,plain,
% 9.54/7.08 (always3(s296)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41608, 41598, 41597])).
% 9.54/7.08 tff(41610,plain,
% 9.54/7.08 (((~![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)))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41611,plain,
% 9.54/7.08 (((~m_main_v_state(s296, c_busy)) | (~always3(s296))) <=> ((~always3(s296)) | (~m_main_v_state(s296, c_busy)))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41612,plain,
% 9.54/7.08 (((~![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))))),
% 9.54/7.08 inference(monotonicity,[status(thm)],[41611])).
% 9.54/7.08 tff(41613,plain,
% 9.54/7.08 (((~![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)))),
% 9.54/7.08 inference(transitivity,[status(thm)],[41612, 41610])).
% 9.54/7.08 tff(41614,plain,
% 9.54/7.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s296, c_busy)) | (~always3(s296)))),
% 9.54/7.08 inference(quant_inst,[status(thm)],[])).
% 9.54/7.08 tff(41615,plain,
% 9.54/7.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s296)) | (~m_main_v_state(s296, c_busy))),
% 9.54/7.08 inference(modus_ponens,[status(thm)],[41614, 41613])).
% 9.54/7.08 tff(41616,plain,
% 9.54/7.08 (~m_main_v_state(s296, c_busy)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41615, 170, 41609])).
% 9.54/7.08 tff(41617,assumption,(~m_main_v_state(s297, c_busy)), introduced(assumption)).
% 9.54/7.08 tff(41618,plain,
% 9.54/7.08 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s296, c_busy) | m_main_v_state(s296, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s296, c_busy) | m_main_v_state(s296, c_ready))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41619,plain,
% 9.54/7.08 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s296, c_busy) | m_main_v_state(s296, c_ready))),
% 9.54/7.08 inference(quant_inst,[status(thm)],[])).
% 9.54/7.08 tff(41620,plain,
% 9.54/7.08 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s296, c_busy) | m_main_v_state(s296, c_ready)),
% 9.54/7.08 inference(modus_ponens,[status(thm)],[41619, 41618])).
% 9.54/7.08 tff(41621,plain,
% 9.54/7.08 (m_main_v_state(s296, c_ready)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41620, 213, 41616])).
% 9.54/7.08 tff(41622,plain,
% 9.54/7.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s296, s297)) | node2(s296, s297))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s296, s297)) | node2(s296, s297))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41623,plain,
% 9.54/7.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s296, s297)) | node2(s296, s297))),
% 9.54/7.08 inference(quant_inst,[status(thm)],[])).
% 9.54/7.08 tff(41624,plain,
% 9.54/7.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s296, s297)) | node2(s296, s297)),
% 9.54/7.08 inference(modus_ponens,[status(thm)],[41623, 41622])).
% 9.54/7.08 tff(41625,plain,
% 9.54/7.08 (node2(s296, s297)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41624, 7, 5357])).
% 9.54/7.08 tff(41626,plain,
% 9.54/7.08 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s296, c_ready)) | (~node2(s296, s297)) | m_main_v_state(s297, c_busy) | (~m_main_v_request(s296)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s296, c_ready)) | (~node2(s296, s297)) | m_main_v_state(s297, c_busy) | (~m_main_v_request(s296)))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41627,plain,
% 9.54/7.08 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s296, c_ready)) | (~node2(s296, s297)) | m_main_v_state(s297, c_busy) | (~m_main_v_request(s296)))),
% 9.54/7.08 inference(quant_inst,[status(thm)],[])).
% 9.54/7.08 tff(41628,plain,
% 9.54/7.08 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s296, c_ready)) | (~node2(s296, s297)) | m_main_v_state(s297, c_busy) | (~m_main_v_request(s296))),
% 9.54/7.08 inference(modus_ponens,[status(thm)],[41627, 41626])).
% 9.54/7.08 tff(41629,plain,
% 9.54/7.08 ((~m_main_v_state(s296, c_ready)) | m_main_v_state(s297, c_busy) | (~m_main_v_request(s296))),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41628, 191, 41625])).
% 9.54/7.08 tff(41630,plain,
% 9.54/7.08 (~m_main_v_request(s296)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41629, 41621, 41617])).
% 9.54/7.08 tff(41631,plain,
% 9.54/7.08 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s296) | (~node4(s296)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s296) | (~node4(s296)))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41632,plain,
% 9.54/7.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s296) | (~node4(s296)))),
% 9.54/7.08 inference(quant_inst,[status(thm)],[])).
% 9.54/7.08 tff(41633,plain,
% 9.54/7.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s296) | (~node4(s296))),
% 9.54/7.08 inference(modus_ponens,[status(thm)],[41632, 41631])).
% 9.54/7.08 tff(41634,plain,
% 9.54/7.08 (~node4(s296)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41633, 154, 41630])).
% 9.54/7.08 tff(41635,plain,
% 9.54/7.08 (~until5(s296)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41605, 41634])).
% 9.54/7.08 tff(41636,plain,
% 9.54/7.08 (~xuntil6(s295)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12251, 41635])).
% 9.54/7.08 tff(41637,plain,
% 9.54/7.08 (node4(s295)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41602, 41636])).
% 9.54/7.08 tff(41638,plain,
% 9.54/7.08 (((~![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)))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41639,plain,
% 9.54/7.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s295) | (~node4(s295)))),
% 9.54/7.08 inference(quant_inst,[status(thm)],[])).
% 9.54/7.08 tff(41640,plain,
% 9.54/7.08 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s295) | (~node4(s295))),
% 9.54/7.08 inference(modus_ponens,[status(thm)],[41639, 41638])).
% 9.54/7.08 tff(41641,plain,
% 9.54/7.08 (m_main_v_request(s295)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41640, 154, 41637])).
% 9.54/7.08 tff(41642,plain,
% 9.54/7.08 (((~![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))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41643,plain,
% 9.54/7.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s295, s296)) | node2(s295, s296))),
% 9.54/7.08 inference(quant_inst,[status(thm)],[])).
% 9.54/7.08 tff(41644,plain,
% 9.54/7.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s295, s296)) | node2(s295, s296)),
% 9.54/7.08 inference(modus_ponens,[status(thm)],[41643, 41642])).
% 9.54/7.08 tff(41645,plain,
% 9.54/7.08 (node2(s295, s296)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41644, 7, 5369])).
% 9.54/7.08 tff(41646,plain,
% 9.54/7.08 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41647,plain,
% 9.54/7.08 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.54/7.08 inference(quant_inst,[status(thm)],[])).
% 9.54/7.08 tff(41648,plain,
% 9.54/7.08 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 9.54/7.08 inference(modus_ponens,[status(thm)],[41647, 41646])).
% 9.54/7.08 tff(41649,plain,
% 9.54/7.08 ((~m_main_v_state(s295, c_ready)) | m_main_v_state(s296, c_busy) | (~m_main_v_request(s295))),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41648, 191, 41645])).
% 9.54/7.08 tff(41650,plain,
% 9.54/7.08 (~m_main_v_state(s295, c_ready)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41649, 41641, 41616])).
% 9.54/7.08 tff(41651,plain,
% 9.54/7.08 (always3(s295)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12238, 22, 41637])).
% 9.54/7.08 tff(41652,plain,
% 9.54/7.08 (((~![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)))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41653,plain,
% 9.54/7.08 (((~m_main_v_state(s295, c_busy)) | (~always3(s295))) <=> ((~always3(s295)) | (~m_main_v_state(s295, c_busy)))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41654,plain,
% 9.54/7.08 (((~![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))))),
% 9.54/7.08 inference(monotonicity,[status(thm)],[41653])).
% 9.54/7.08 tff(41655,plain,
% 9.54/7.08 (((~![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)))),
% 9.54/7.08 inference(transitivity,[status(thm)],[41654, 41652])).
% 9.54/7.08 tff(41656,plain,
% 9.54/7.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s295, c_busy)) | (~always3(s295)))),
% 9.54/7.08 inference(quant_inst,[status(thm)],[])).
% 9.54/7.08 tff(41657,plain,
% 9.54/7.08 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s295)) | (~m_main_v_state(s295, c_busy))),
% 9.54/7.08 inference(modus_ponens,[status(thm)],[41656, 41655])).
% 9.54/7.08 tff(41658,plain,
% 9.54/7.08 (~m_main_v_state(s295, c_busy)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41657, 170, 41651])).
% 9.54/7.08 tff(41659,plain,
% 9.54/7.08 (((~![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))),
% 9.54/7.08 inference(rewrite,[status(thm)],[])).
% 9.54/7.08 tff(41660,plain,
% 9.54/7.08 ((~![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))),
% 9.54/7.08 inference(quant_inst,[status(thm)],[])).
% 9.54/7.08 tff(41661,plain,
% 9.54/7.08 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s295, c_busy) | m_main_v_state(s295, c_ready)),
% 9.54/7.08 inference(modus_ponens,[status(thm)],[41660, 41659])).
% 9.54/7.08 tff(41662,plain,
% 9.54/7.08 ($false),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41661, 213, 41658, 41650])).
% 9.54/7.08 tff(41663,plain,((~until5(s295)) | xuntil6(s296) | m_main_v_state(s297, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.54/7.08 tff(41664,plain,
% 9.54/7.08 (~until5(s295)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41663, 41596, 41574])).
% 9.54/7.08 tff(41665,plain,
% 9.54/7.08 (~xuntil6(s294)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12234, 41664])).
% 9.54/7.08 tff(41666,assumption,(~always3(s294)), introduced(assumption)).
% 9.54/7.08 tff(41667,plain,
% 9.54/7.08 (~always3(s293)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[5397, 41666])).
% 9.54/7.08 tff(41668,plain,
% 9.54/7.08 (~node4(s293)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12204, 22, 41667])).
% 9.54/7.08 tff(41669,plain,
% 9.54/7.08 (~node4(s294)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12221, 22, 41666])).
% 9.54/7.08 tff(41670,assumption,(~xuntil6(s294)), introduced(assumption)).
% 9.54/7.08 tff(41671,plain,
% 9.54/7.08 (node4(s294) | (~until5(s294))),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12228, 36, 41670])).
% 9.54/7.08 tff(41672,plain,
% 9.54/7.08 (~until5(s294)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[41671, 41669])).
% 9.54/7.08 tff(41673,plain,
% 9.54/7.08 (~xuntil6(s293)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12217, 41672])).
% 9.54/7.08 tff(41674,plain,
% 9.54/7.08 (~until5(s293)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12211, 36, 41673, 41668])).
% 9.54/7.08 tff(41675,plain,
% 9.54/7.08 (~xuntil6(s292)),
% 9.54/7.08 inference(unit_resolution,[status(thm)],[12200, 41674])).
% 9.54/7.09 tff(41676,plain,
% 9.54/7.09 (~always3(s292)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[5409, 41667])).
% 9.54/7.09 tff(41677,plain,
% 9.54/7.09 (~always3(s291)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[5421, 41676])).
% 9.54/7.09 tff(41678,plain,
% 9.54/7.09 (~node4(s291)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[12170, 22, 41677])).
% 9.54/7.09 tff(41679,plain,
% 9.54/7.09 (~always3(s290)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[5433, 41677])).
% 9.54/7.09 tff(41680,plain,
% 9.54/7.09 (~node4(s290)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[12153, 22, 41679])).
% 9.54/7.09 tff(41681,plain,
% 9.54/7.09 (xuntil6(s290)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[40821, 41680])).
% 9.54/7.09 tff(41682,plain,
% 9.54/7.09 (until5(s291)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[12166, 41681])).
% 9.54/7.09 tff(41683,plain,
% 9.54/7.09 (xuntil6(s291)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[12177, 36, 41682, 41678])).
% 9.54/7.09 tff(41684,plain,
% 9.54/7.09 (until5(s292)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[12183, 41683])).
% 9.54/7.09 tff(41685,plain,
% 9.54/7.09 (~node4(s292)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[12187, 22, 41676])).
% 9.54/7.09 tff(41686,plain,
% 9.54/7.09 (xuntil6(s292) | (~until5(s292))),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[12194, 36, 41685])).
% 9.54/7.09 tff(41687,plain,
% 9.54/7.09 ($false),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41686, 41684, 41675])).
% 9.54/7.09 tff(41688,plain,(always3(s294) | (~until5(s290)) | xuntil6(s294)), inference(lemma,lemma(discharge,[]))).
% 9.54/7.09 tff(41689,plain,
% 9.54/7.09 (always3(s294)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41688, 40797, 41665])).
% 9.54/7.09 tff(41690,plain,
% 9.54/7.09 (((~![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)))),
% 9.54/7.09 inference(rewrite,[status(thm)],[])).
% 9.54/7.09 tff(41691,plain,
% 9.54/7.09 (((~m_main_v_state(s294, c_busy)) | (~always3(s294))) <=> ((~always3(s294)) | (~m_main_v_state(s294, c_busy)))),
% 9.54/7.09 inference(rewrite,[status(thm)],[])).
% 9.54/7.09 tff(41692,plain,
% 9.54/7.09 (((~![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))))),
% 9.54/7.09 inference(monotonicity,[status(thm)],[41691])).
% 9.54/7.09 tff(41693,plain,
% 9.54/7.09 (((~![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)))),
% 9.54/7.09 inference(transitivity,[status(thm)],[41692, 41690])).
% 9.54/7.09 tff(41694,plain,
% 9.54/7.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s294, c_busy)) | (~always3(s294)))),
% 9.54/7.09 inference(quant_inst,[status(thm)],[])).
% 9.54/7.09 tff(41695,plain,
% 9.54/7.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s294)) | (~m_main_v_state(s294, c_busy))),
% 9.54/7.09 inference(modus_ponens,[status(thm)],[41694, 41693])).
% 9.54/7.09 tff(41696,plain,
% 9.54/7.09 (~m_main_v_state(s294, c_busy)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41695, 170, 41689])).
% 9.54/7.09 tff(41697,plain,
% 9.54/7.09 (always3(s295)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[5385, 41689])).
% 9.54/7.09 tff(41698,plain,
% 9.54/7.09 (~m_main_v_state(s295, c_busy)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41657, 170, 41697])).
% 9.54/7.09 tff(41699,plain,
% 9.54/7.09 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s294, c_busy) | m_main_v_state(s294, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s294, c_busy) | m_main_v_state(s294, c_ready))),
% 9.54/7.09 inference(rewrite,[status(thm)],[])).
% 9.54/7.09 tff(41700,plain,
% 9.54/7.09 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s294, c_busy) | m_main_v_state(s294, c_ready))),
% 9.54/7.09 inference(quant_inst,[status(thm)],[])).
% 9.54/7.09 tff(41701,plain,
% 9.54/7.09 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s294, c_busy) | m_main_v_state(s294, c_ready)),
% 9.54/7.09 inference(modus_ponens,[status(thm)],[41700, 41699])).
% 9.54/7.09 tff(41702,plain,
% 9.54/7.09 (m_main_v_state(s294, c_ready)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41701, 213, 41696])).
% 9.54/7.09 tff(41703,plain,
% 9.54/7.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s294, s295)) | node2(s294, s295))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s294, s295)) | node2(s294, s295))),
% 9.54/7.09 inference(rewrite,[status(thm)],[])).
% 9.54/7.09 tff(41704,plain,
% 9.54/7.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s294, s295)) | node2(s294, s295))),
% 9.54/7.09 inference(quant_inst,[status(thm)],[])).
% 9.54/7.09 tff(41705,plain,
% 9.54/7.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s294, s295)) | node2(s294, s295)),
% 9.54/7.09 inference(modus_ponens,[status(thm)],[41704, 41703])).
% 9.54/7.09 tff(41706,plain,
% 9.54/7.09 (node2(s294, s295)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41705, 7, 5381])).
% 9.54/7.09 tff(41707,plain,
% 9.54/7.09 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s294, c_ready)) | (~node2(s294, s295)) | m_main_v_state(s295, c_busy) | (~m_main_v_request(s294)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s294, c_ready)) | (~node2(s294, s295)) | m_main_v_state(s295, c_busy) | (~m_main_v_request(s294)))),
% 9.54/7.09 inference(rewrite,[status(thm)],[])).
% 9.54/7.09 tff(41708,plain,
% 9.54/7.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s294, c_ready)) | (~node2(s294, s295)) | m_main_v_state(s295, c_busy) | (~m_main_v_request(s294)))),
% 9.54/7.09 inference(quant_inst,[status(thm)],[])).
% 9.54/7.09 tff(41709,plain,
% 9.54/7.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s294, c_ready)) | (~node2(s294, s295)) | m_main_v_state(s295, c_busy) | (~m_main_v_request(s294))),
% 9.54/7.09 inference(modus_ponens,[status(thm)],[41708, 41707])).
% 9.54/7.09 tff(41710,plain,
% 9.54/7.09 ((~m_main_v_state(s294, c_ready)) | m_main_v_state(s295, c_busy) | (~m_main_v_request(s294))),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41709, 191, 41706])).
% 9.54/7.09 tff(41711,plain,
% 9.54/7.09 (~m_main_v_request(s294)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41710, 41702, 41698])).
% 9.54/7.09 tff(41712,plain,
% 9.54/7.09 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s294) | (~node4(s294)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s294) | (~node4(s294)))),
% 9.54/7.09 inference(rewrite,[status(thm)],[])).
% 9.54/7.09 tff(41713,plain,
% 9.54/7.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s294) | (~node4(s294)))),
% 9.54/7.09 inference(quant_inst,[status(thm)],[])).
% 9.54/7.09 tff(41714,plain,
% 9.54/7.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s294) | (~node4(s294))),
% 9.54/7.09 inference(modus_ponens,[status(thm)],[41713, 41712])).
% 9.54/7.09 tff(41715,plain,
% 9.54/7.09 (~node4(s294)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41714, 154, 41711])).
% 9.54/7.09 tff(41716,plain,
% 9.54/7.09 (node4(s294) | (~until5(s294))),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[12228, 36, 41665])).
% 9.54/7.09 tff(41717,plain,
% 9.54/7.09 (~until5(s294)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41716, 41715])).
% 9.54/7.09 tff(41718,plain,
% 9.54/7.09 (~xuntil6(s293)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[12217, 41717])).
% 9.54/7.09 tff(41719,assumption,(~xuntil6(s293)), introduced(assumption)).
% 9.54/7.09 tff(41720,assumption,(until5(s292)), introduced(assumption)).
% 9.54/7.09 tff(41721,assumption,(~always3(s293)), introduced(assumption)).
% 9.54/7.09 tff(41722,plain,
% 9.54/7.09 (~always3(s292)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[5409, 41721])).
% 9.54/7.09 tff(41723,plain,
% 9.54/7.09 (~node4(s292)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[12187, 22, 41722])).
% 9.54/7.09 tff(41724,plain,
% 9.54/7.09 (xuntil6(s292) | node4(s292)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[12194, 36, 41720])).
% 9.54/7.09 tff(41725,plain,
% 9.54/7.09 (xuntil6(s292)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41724, 41723])).
% 9.54/7.09 tff(41726,plain,
% 9.54/7.09 (until5(s293)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[12200, 41725])).
% 9.54/7.09 tff(41727,plain,
% 9.54/7.09 (node4(s293) | (~until5(s293))),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[12211, 36, 41719])).
% 9.54/7.09 tff(41728,plain,
% 9.54/7.09 (node4(s293)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41727, 41726])).
% 9.54/7.09 tff(41729,plain,
% 9.54/7.09 ($false),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[12204, 22, 41721, 41728])).
% 9.54/7.09 tff(41730,plain,(always3(s293) | xuntil6(s293) | (~until5(s292))), inference(lemma,lemma(discharge,[]))).
% 9.54/7.09 tff(41731,plain,
% 9.54/7.09 (always3(s293)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41730, 41720, 41719])).
% 9.54/7.09 tff(41732,plain,
% 9.54/7.09 (((~![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)))),
% 9.54/7.09 inference(rewrite,[status(thm)],[])).
% 9.54/7.09 tff(41733,plain,
% 9.54/7.09 (((~m_main_v_state(s293, c_busy)) | (~always3(s293))) <=> ((~always3(s293)) | (~m_main_v_state(s293, c_busy)))),
% 9.54/7.09 inference(rewrite,[status(thm)],[])).
% 9.54/7.09 tff(41734,plain,
% 9.54/7.09 (((~![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))))),
% 9.54/7.09 inference(monotonicity,[status(thm)],[41733])).
% 9.54/7.09 tff(41735,plain,
% 9.54/7.09 (((~![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)))),
% 9.54/7.09 inference(transitivity,[status(thm)],[41734, 41732])).
% 9.54/7.09 tff(41736,plain,
% 9.54/7.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s293, c_busy)) | (~always3(s293)))),
% 9.54/7.09 inference(quant_inst,[status(thm)],[])).
% 9.54/7.09 tff(41737,plain,
% 9.54/7.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s293)) | (~m_main_v_state(s293, c_busy))),
% 9.54/7.09 inference(modus_ponens,[status(thm)],[41736, 41735])).
% 9.54/7.09 tff(41738,plain,
% 9.54/7.09 (~m_main_v_state(s293, c_busy)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41737, 170, 41731])).
% 9.54/7.09 tff(41739,assumption,(~m_main_v_state(s294, c_busy)), introduced(assumption)).
% 9.54/7.09 tff(41740,plain,
% 9.54/7.09 (((~![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))),
% 9.54/7.09 inference(rewrite,[status(thm)],[])).
% 9.54/7.09 tff(41741,plain,
% 9.54/7.09 ((~![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))),
% 9.54/7.09 inference(quant_inst,[status(thm)],[])).
% 9.54/7.09 tff(41742,plain,
% 9.54/7.09 ((~![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)),
% 9.54/7.09 inference(modus_ponens,[status(thm)],[41741, 41740])).
% 9.54/7.09 tff(41743,plain,
% 9.54/7.09 (m_main_v_state(s293, c_ready)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41742, 213, 41738])).
% 9.54/7.09 tff(41744,plain,
% 9.54/7.09 (((~![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))),
% 9.54/7.09 inference(rewrite,[status(thm)],[])).
% 9.54/7.09 tff(41745,plain,
% 9.54/7.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s293, s294)) | node2(s293, s294))),
% 9.54/7.09 inference(quant_inst,[status(thm)],[])).
% 9.54/7.09 tff(41746,plain,
% 9.54/7.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s293, s294)) | node2(s293, s294)),
% 9.54/7.09 inference(modus_ponens,[status(thm)],[41745, 41744])).
% 9.54/7.09 tff(41747,plain,
% 9.54/7.09 (node2(s293, s294)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41746, 7, 5393])).
% 9.54/7.09 tff(41748,plain,
% 9.54/7.09 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.54/7.09 inference(rewrite,[status(thm)],[])).
% 9.54/7.09 tff(41749,plain,
% 9.54/7.09 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.54/7.09 inference(quant_inst,[status(thm)],[])).
% 9.54/7.09 tff(41750,plain,
% 9.54/7.09 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 9.54/7.09 inference(modus_ponens,[status(thm)],[41749, 41748])).
% 9.54/7.09 tff(41751,plain,
% 9.54/7.09 ((~m_main_v_state(s293, c_ready)) | m_main_v_state(s294, c_busy) | (~m_main_v_request(s293))),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41750, 191, 41747])).
% 9.54/7.09 tff(41752,plain,
% 9.54/7.09 (~m_main_v_request(s293)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41751, 41743, 41739])).
% 9.54/7.09 tff(41753,plain,
% 9.54/7.09 (((~![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)))),
% 9.54/7.09 inference(rewrite,[status(thm)],[])).
% 9.54/7.09 tff(41754,plain,
% 9.54/7.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s293) | (~node4(s293)))),
% 9.54/7.09 inference(quant_inst,[status(thm)],[])).
% 9.54/7.09 tff(41755,plain,
% 9.54/7.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s293) | (~node4(s293))),
% 9.54/7.09 inference(modus_ponens,[status(thm)],[41754, 41753])).
% 9.54/7.09 tff(41756,plain,
% 9.54/7.09 (~node4(s293)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41755, 154, 41752])).
% 9.54/7.09 tff(41757,plain,
% 9.54/7.09 (~until5(s293)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41727, 41756])).
% 9.54/7.09 tff(41758,plain,
% 9.54/7.09 (~xuntil6(s292)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[12200, 41757])).
% 9.54/7.09 tff(41759,plain,
% 9.54/7.09 (node4(s292)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41724, 41758])).
% 9.54/7.09 tff(41760,plain,
% 9.54/7.09 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s292) | (~node4(s292)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s292) | (~node4(s292)))),
% 9.54/7.09 inference(rewrite,[status(thm)],[])).
% 9.54/7.09 tff(41761,plain,
% 9.54/7.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s292) | (~node4(s292)))),
% 9.54/7.09 inference(quant_inst,[status(thm)],[])).
% 9.54/7.09 tff(41762,plain,
% 9.54/7.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s292) | (~node4(s292))),
% 9.54/7.09 inference(modus_ponens,[status(thm)],[41761, 41760])).
% 9.54/7.09 tff(41763,plain,
% 9.54/7.09 (m_main_v_request(s292)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41762, 154, 41759])).
% 9.54/7.09 tff(41764,plain,
% 9.54/7.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s292, s293)) | node2(s292, s293))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s292, s293)) | node2(s292, s293))),
% 9.54/7.09 inference(rewrite,[status(thm)],[])).
% 9.54/7.09 tff(41765,plain,
% 9.54/7.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s292, s293)) | node2(s292, s293))),
% 9.54/7.09 inference(quant_inst,[status(thm)],[])).
% 9.54/7.09 tff(41766,plain,
% 9.54/7.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s292, s293)) | node2(s292, s293)),
% 9.54/7.09 inference(modus_ponens,[status(thm)],[41765, 41764])).
% 9.54/7.09 tff(41767,plain,
% 9.54/7.09 (node2(s292, s293)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41766, 7, 5405])).
% 9.54/7.09 tff(41768,plain,
% 9.54/7.09 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s292, c_ready)) | (~node2(s292, s293)) | m_main_v_state(s293, c_busy) | (~m_main_v_request(s292)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s292, c_ready)) | (~node2(s292, s293)) | m_main_v_state(s293, c_busy) | (~m_main_v_request(s292)))),
% 9.54/7.09 inference(rewrite,[status(thm)],[])).
% 9.54/7.09 tff(41769,plain,
% 9.54/7.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s292, c_ready)) | (~node2(s292, s293)) | m_main_v_state(s293, c_busy) | (~m_main_v_request(s292)))),
% 9.54/7.09 inference(quant_inst,[status(thm)],[])).
% 9.54/7.09 tff(41770,plain,
% 9.54/7.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s292, c_ready)) | (~node2(s292, s293)) | m_main_v_state(s293, c_busy) | (~m_main_v_request(s292))),
% 9.54/7.09 inference(modus_ponens,[status(thm)],[41769, 41768])).
% 9.54/7.09 tff(41771,plain,
% 9.54/7.09 ((~m_main_v_state(s292, c_ready)) | m_main_v_state(s293, c_busy) | (~m_main_v_request(s292))),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41770, 191, 41767])).
% 9.54/7.09 tff(41772,plain,
% 9.54/7.09 (~m_main_v_state(s292, c_ready)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41771, 41763, 41738])).
% 9.54/7.09 tff(41773,plain,
% 9.54/7.09 (always3(s292)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[12187, 22, 41759])).
% 9.54/7.09 tff(41774,plain,
% 9.54/7.09 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s292)) | (~m_main_v_state(s292, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s292)) | (~m_main_v_state(s292, c_busy)))),
% 9.54/7.09 inference(rewrite,[status(thm)],[])).
% 9.54/7.09 tff(41775,plain,
% 9.54/7.09 (((~m_main_v_state(s292, c_busy)) | (~always3(s292))) <=> ((~always3(s292)) | (~m_main_v_state(s292, c_busy)))),
% 9.54/7.09 inference(rewrite,[status(thm)],[])).
% 9.54/7.09 tff(41776,plain,
% 9.54/7.09 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s292, c_busy)) | (~always3(s292)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s292)) | (~m_main_v_state(s292, c_busy))))),
% 9.54/7.09 inference(monotonicity,[status(thm)],[41775])).
% 9.54/7.09 tff(41777,plain,
% 9.54/7.09 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s292, c_busy)) | (~always3(s292)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s292)) | (~m_main_v_state(s292, c_busy)))),
% 9.54/7.09 inference(transitivity,[status(thm)],[41776, 41774])).
% 9.54/7.09 tff(41778,plain,
% 9.54/7.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s292, c_busy)) | (~always3(s292)))),
% 9.54/7.09 inference(quant_inst,[status(thm)],[])).
% 9.54/7.09 tff(41779,plain,
% 9.54/7.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s292)) | (~m_main_v_state(s292, c_busy))),
% 9.54/7.09 inference(modus_ponens,[status(thm)],[41778, 41777])).
% 9.54/7.09 tff(41780,plain,
% 9.54/7.09 (~m_main_v_state(s292, c_busy)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41779, 170, 41773])).
% 9.54/7.09 tff(41781,plain,
% 9.54/7.09 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s292, c_busy) | m_main_v_state(s292, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s292, c_busy) | m_main_v_state(s292, c_ready))),
% 9.54/7.09 inference(rewrite,[status(thm)],[])).
% 9.54/7.09 tff(41782,plain,
% 9.54/7.09 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s292, c_busy) | m_main_v_state(s292, c_ready))),
% 9.54/7.09 inference(quant_inst,[status(thm)],[])).
% 9.54/7.09 tff(41783,plain,
% 9.54/7.09 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s292, c_busy) | m_main_v_state(s292, c_ready)),
% 9.54/7.09 inference(modus_ponens,[status(thm)],[41782, 41781])).
% 9.54/7.09 tff(41784,plain,
% 9.54/7.09 ($false),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41783, 213, 41780, 41772])).
% 9.54/7.09 tff(41785,plain,((~until5(s292)) | xuntil6(s293) | m_main_v_state(s294, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.54/7.09 tff(41786,plain,
% 9.54/7.09 (~until5(s292)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41785, 41718, 41696])).
% 9.54/7.09 tff(41787,plain,
% 9.54/7.09 (~xuntil6(s291)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[12183, 41786])).
% 9.54/7.09 tff(41788,assumption,(~always3(s291)), introduced(assumption)).
% 9.54/7.09 tff(41789,plain,
% 9.54/7.09 (~node4(s291)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[12170, 22, 41788])).
% 9.54/7.09 tff(41790,assumption,(~xuntil6(s291)), introduced(assumption)).
% 9.54/7.09 tff(41791,plain,
% 9.54/7.09 (node4(s291) | (~until5(s291))),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[12177, 36, 41790])).
% 9.54/7.09 tff(41792,plain,
% 9.54/7.09 (~until5(s291)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41791, 41789])).
% 9.54/7.09 tff(41793,plain,
% 9.54/7.09 (~always3(s290)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[5433, 41788])).
% 9.54/7.09 tff(41794,plain,
% 9.54/7.09 (~node4(s290)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[12153, 22, 41793])).
% 9.54/7.09 tff(41795,plain,
% 9.54/7.09 (xuntil6(s290)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[40821, 41794])).
% 9.54/7.09 tff(41796,plain,
% 9.54/7.09 ($false),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[12166, 41795, 41792])).
% 9.54/7.09 tff(41797,plain,(always3(s291) | (~until5(s290)) | xuntil6(s291)), inference(lemma,lemma(discharge,[]))).
% 9.54/7.09 tff(41798,plain,
% 9.54/7.09 (always3(s291)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41797, 40797, 41787])).
% 9.54/7.09 tff(41799,plain,
% 9.54/7.09 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s291)) | (~m_main_v_state(s291, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s291)) | (~m_main_v_state(s291, c_busy)))),
% 9.54/7.09 inference(rewrite,[status(thm)],[])).
% 9.54/7.09 tff(41800,plain,
% 9.54/7.09 (((~m_main_v_state(s291, c_busy)) | (~always3(s291))) <=> ((~always3(s291)) | (~m_main_v_state(s291, c_busy)))),
% 9.54/7.09 inference(rewrite,[status(thm)],[])).
% 9.54/7.09 tff(41801,plain,
% 9.54/7.09 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s291, c_busy)) | (~always3(s291)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s291)) | (~m_main_v_state(s291, c_busy))))),
% 9.54/7.09 inference(monotonicity,[status(thm)],[41800])).
% 9.54/7.09 tff(41802,plain,
% 9.54/7.09 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s291, c_busy)) | (~always3(s291)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s291)) | (~m_main_v_state(s291, c_busy)))),
% 9.54/7.09 inference(transitivity,[status(thm)],[41801, 41799])).
% 9.54/7.09 tff(41803,plain,
% 9.54/7.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s291, c_busy)) | (~always3(s291)))),
% 9.54/7.09 inference(quant_inst,[status(thm)],[])).
% 9.54/7.09 tff(41804,plain,
% 9.54/7.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s291)) | (~m_main_v_state(s291, c_busy))),
% 9.54/7.09 inference(modus_ponens,[status(thm)],[41803, 41802])).
% 9.54/7.09 tff(41805,plain,
% 9.54/7.09 (~m_main_v_state(s291, c_busy)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41804, 170, 41798])).
% 9.54/7.09 tff(41806,plain,
% 9.54/7.09 (always3(s292)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[5421, 41798])).
% 9.54/7.09 tff(41807,plain,
% 9.54/7.09 (~m_main_v_state(s292, c_busy)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41779, 170, 41806])).
% 9.54/7.09 tff(41808,plain,
% 9.54/7.09 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s291, c_busy) | m_main_v_state(s291, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s291, c_busy) | m_main_v_state(s291, c_ready))),
% 9.54/7.09 inference(rewrite,[status(thm)],[])).
% 9.54/7.09 tff(41809,plain,
% 9.54/7.09 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s291, c_busy) | m_main_v_state(s291, c_ready))),
% 9.54/7.09 inference(quant_inst,[status(thm)],[])).
% 9.54/7.09 tff(41810,plain,
% 9.54/7.09 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s291, c_busy) | m_main_v_state(s291, c_ready)),
% 9.54/7.09 inference(modus_ponens,[status(thm)],[41809, 41808])).
% 9.54/7.09 tff(41811,plain,
% 9.54/7.09 (m_main_v_state(s291, c_ready)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41810, 213, 41805])).
% 9.54/7.09 tff(41812,plain,
% 9.54/7.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s291, s292)) | node2(s291, s292))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s291, s292)) | node2(s291, s292))),
% 9.54/7.09 inference(rewrite,[status(thm)],[])).
% 9.54/7.09 tff(41813,plain,
% 9.54/7.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s291, s292)) | node2(s291, s292))),
% 9.54/7.09 inference(quant_inst,[status(thm)],[])).
% 9.54/7.09 tff(41814,plain,
% 9.54/7.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s291, s292)) | node2(s291, s292)),
% 9.54/7.09 inference(modus_ponens,[status(thm)],[41813, 41812])).
% 9.54/7.09 tff(41815,plain,
% 9.54/7.09 (node2(s291, s292)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41814, 7, 5417])).
% 9.54/7.09 tff(41816,plain,
% 9.54/7.09 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s291, c_ready)) | (~node2(s291, s292)) | m_main_v_state(s292, c_busy) | (~m_main_v_request(s291)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s291, c_ready)) | (~node2(s291, s292)) | m_main_v_state(s292, c_busy) | (~m_main_v_request(s291)))),
% 9.54/7.09 inference(rewrite,[status(thm)],[])).
% 9.54/7.09 tff(41817,plain,
% 9.54/7.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s291, c_ready)) | (~node2(s291, s292)) | m_main_v_state(s292, c_busy) | (~m_main_v_request(s291)))),
% 9.54/7.09 inference(quant_inst,[status(thm)],[])).
% 9.54/7.09 tff(41818,plain,
% 9.54/7.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s291, c_ready)) | (~node2(s291, s292)) | m_main_v_state(s292, c_busy) | (~m_main_v_request(s291))),
% 9.54/7.09 inference(modus_ponens,[status(thm)],[41817, 41816])).
% 9.54/7.09 tff(41819,plain,
% 9.54/7.09 ((~m_main_v_state(s291, c_ready)) | m_main_v_state(s292, c_busy) | (~m_main_v_request(s291))),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41818, 191, 41815])).
% 9.54/7.09 tff(41820,plain,
% 9.54/7.09 (~m_main_v_request(s291)),
% 9.54/7.09 inference(unit_resolution,[status(thm)],[41819, 41811, 41807])).
% 9.54/7.09 tff(41821,plain,
% 9.54/7.09 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s291) | (~node4(s291)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s291) | (~node4(s291)))),
% 9.54/7.09 inference(rewrite,[status(thm)],[])).
% 9.54/7.09 tff(41822,plain,
% 9.54/7.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s291) | (~node4(s291)))),
% 9.65/7.09 inference(quant_inst,[status(thm)],[])).
% 9.65/7.09 tff(41823,plain,
% 9.65/7.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s291) | (~node4(s291))),
% 9.65/7.09 inference(modus_ponens,[status(thm)],[41822, 41821])).
% 9.65/7.09 tff(41824,plain,
% 9.65/7.09 (~node4(s291)),
% 9.65/7.09 inference(unit_resolution,[status(thm)],[41823, 154, 41820])).
% 9.65/7.09 tff(41825,plain,
% 9.65/7.09 (node4(s291) | (~until5(s291))),
% 9.65/7.09 inference(unit_resolution,[status(thm)],[12177, 36, 41787])).
% 9.65/7.09 tff(41826,plain,
% 9.65/7.09 (~until5(s291)),
% 9.65/7.09 inference(unit_resolution,[status(thm)],[41825, 41824])).
% 9.65/7.09 tff(41827,plain,
% 9.65/7.09 (~xuntil6(s290)),
% 9.65/7.09 inference(unit_resolution,[status(thm)],[12166, 41826])).
% 9.65/7.09 tff(41828,plain,
% 9.65/7.09 (node4(s290)),
% 9.65/7.09 inference(unit_resolution,[status(thm)],[40821, 41827])).
% 9.65/7.09 tff(41829,plain,
% 9.65/7.09 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s290) | (~node4(s290)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s290) | (~node4(s290)))),
% 9.65/7.09 inference(rewrite,[status(thm)],[])).
% 9.65/7.09 tff(41830,plain,
% 9.65/7.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s290) | (~node4(s290)))),
% 9.65/7.09 inference(quant_inst,[status(thm)],[])).
% 9.65/7.09 tff(41831,plain,
% 9.65/7.09 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s290) | (~node4(s290))),
% 9.65/7.09 inference(modus_ponens,[status(thm)],[41830, 41829])).
% 9.65/7.09 tff(41832,plain,
% 9.65/7.09 (m_main_v_request(s290)),
% 9.65/7.09 inference(unit_resolution,[status(thm)],[41831, 154, 41828])).
% 9.65/7.09 tff(41833,plain,
% 9.65/7.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s290, s291)) | node2(s290, s291))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s290, s291)) | node2(s290, s291))),
% 9.65/7.09 inference(rewrite,[status(thm)],[])).
% 9.65/7.09 tff(41834,plain,
% 9.65/7.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s290, s291)) | node2(s290, s291))),
% 9.65/7.09 inference(quant_inst,[status(thm)],[])).
% 9.65/7.09 tff(41835,plain,
% 9.65/7.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s290, s291)) | node2(s290, s291)),
% 9.65/7.09 inference(modus_ponens,[status(thm)],[41834, 41833])).
% 9.65/7.09 tff(41836,plain,
% 9.65/7.09 (node2(s290, s291)),
% 9.65/7.09 inference(unit_resolution,[status(thm)],[41835, 7, 5429])).
% 9.65/7.09 tff(41837,plain,
% 9.65/7.09 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s290, c_ready)) | (~node2(s290, s291)) | m_main_v_state(s291, c_busy) | (~m_main_v_request(s290)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s290, c_ready)) | (~node2(s290, s291)) | m_main_v_state(s291, c_busy) | (~m_main_v_request(s290)))),
% 9.65/7.09 inference(rewrite,[status(thm)],[])).
% 9.65/7.09 tff(41838,plain,
% 9.65/7.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s290, c_ready)) | (~node2(s290, s291)) | m_main_v_state(s291, c_busy) | (~m_main_v_request(s290)))),
% 9.65/7.09 inference(quant_inst,[status(thm)],[])).
% 9.65/7.09 tff(41839,plain,
% 9.65/7.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s290, c_ready)) | (~node2(s290, s291)) | m_main_v_state(s291, c_busy) | (~m_main_v_request(s290))),
% 9.65/7.09 inference(modus_ponens,[status(thm)],[41838, 41837])).
% 9.65/7.09 tff(41840,plain,
% 9.65/7.09 ((~m_main_v_state(s290, c_ready)) | m_main_v_state(s291, c_busy) | (~m_main_v_request(s290))),
% 9.65/7.09 inference(unit_resolution,[status(thm)],[41839, 191, 41836])).
% 9.65/7.09 tff(41841,plain,
% 9.65/7.09 (~m_main_v_state(s290, c_ready)),
% 9.65/7.09 inference(unit_resolution,[status(thm)],[41840, 41832, 41805])).
% 9.65/7.09 tff(41842,plain,
% 9.65/7.09 (always3(s290)),
% 9.65/7.09 inference(unit_resolution,[status(thm)],[12153, 22, 41828])).
% 9.65/7.09 tff(41843,plain,
% 9.65/7.09 (((~![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)))),
% 9.65/7.09 inference(rewrite,[status(thm)],[])).
% 9.65/7.09 tff(41844,plain,
% 9.65/7.09 (((~m_main_v_state(s290, c_busy)) | (~always3(s290))) <=> ((~always3(s290)) | (~m_main_v_state(s290, c_busy)))),
% 9.65/7.09 inference(rewrite,[status(thm)],[])).
% 9.65/7.09 tff(41845,plain,
% 9.65/7.09 (((~![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))))),
% 9.65/7.09 inference(monotonicity,[status(thm)],[41844])).
% 9.65/7.09 tff(41846,plain,
% 9.65/7.09 (((~![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)))),
% 9.65/7.09 inference(transitivity,[status(thm)],[41845, 41843])).
% 9.65/7.09 tff(41847,plain,
% 9.65/7.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s290, c_busy)) | (~always3(s290)))),
% 9.65/7.09 inference(quant_inst,[status(thm)],[])).
% 9.65/7.09 tff(41848,plain,
% 9.65/7.09 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s290)) | (~m_main_v_state(s290, c_busy))),
% 9.65/7.09 inference(modus_ponens,[status(thm)],[41847, 41846])).
% 9.65/7.09 tff(41849,plain,
% 9.65/7.09 (~m_main_v_state(s290, c_busy)),
% 9.65/7.09 inference(unit_resolution,[status(thm)],[41848, 170, 41842])).
% 9.65/7.09 tff(41850,plain,
% 9.65/7.09 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s290, c_busy) | m_main_v_state(s290, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s290, c_busy) | m_main_v_state(s290, c_ready))),
% 9.65/7.09 inference(rewrite,[status(thm)],[])).
% 9.65/7.09 tff(41851,plain,
% 9.65/7.09 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s290, c_busy) | m_main_v_state(s290, c_ready))),
% 9.65/7.09 inference(quant_inst,[status(thm)],[])).
% 9.65/7.09 tff(41852,plain,
% 9.65/7.09 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s290, c_busy) | m_main_v_state(s290, c_ready)),
% 9.65/7.10 inference(modus_ponens,[status(thm)],[41851, 41850])).
% 9.65/7.10 tff(41853,plain,
% 9.65/7.10 ($false),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41852, 213, 41849, 41841])).
% 9.65/7.10 tff(41854,plain,((~until5(s290)) | xuntil6(s310) | m_main_v_state(s311, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.65/7.10 tff(41855,plain,
% 9.65/7.10 (xuntil6(s310)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41854, 40456, 40795])).
% 9.65/7.10 tff(41856,plain,
% 9.65/7.10 (until5(s311)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12506, 41855])).
% 9.65/7.10 tff(41857,plain,
% 9.65/7.10 (node4(s311) | (~until5(s311))),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12517, 36, 39967])).
% 9.65/7.10 tff(41858,plain,
% 9.65/7.10 (node4(s311)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41857, 41856])).
% 9.65/7.10 tff(41859,plain,
% 9.65/7.10 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s311) | (~node4(s311)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s311) | (~node4(s311)))),
% 9.65/7.10 inference(rewrite,[status(thm)],[])).
% 9.65/7.10 tff(41860,plain,
% 9.65/7.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s311) | (~node4(s311)))),
% 9.65/7.10 inference(quant_inst,[status(thm)],[])).
% 9.65/7.10 tff(41861,plain,
% 9.65/7.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s311) | (~node4(s311))),
% 9.65/7.10 inference(modus_ponens,[status(thm)],[41860, 41859])).
% 9.65/7.10 tff(41862,plain,
% 9.65/7.10 (m_main_v_request(s311)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41861, 154, 41858])).
% 9.65/7.10 tff(41863,plain,
% 9.65/7.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s311, s312)) | node2(s311, s312))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s311, s312)) | node2(s311, s312))),
% 9.65/7.10 inference(rewrite,[status(thm)],[])).
% 9.65/7.10 tff(41864,plain,
% 9.65/7.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s311, s312)) | node2(s311, s312))),
% 9.65/7.10 inference(quant_inst,[status(thm)],[])).
% 9.65/7.10 tff(41865,plain,
% 9.65/7.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s311, s312)) | node2(s311, s312)),
% 9.65/7.10 inference(modus_ponens,[status(thm)],[41864, 41863])).
% 9.65/7.10 tff(41866,plain,
% 9.65/7.10 (node2(s311, s312)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41865, 7, 5177])).
% 9.65/7.10 tff(41867,plain,
% 9.65/7.10 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s311, c_ready)) | (~node2(s311, s312)) | m_main_v_state(s312, c_busy) | (~m_main_v_request(s311)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s311, c_ready)) | (~node2(s311, s312)) | m_main_v_state(s312, c_busy) | (~m_main_v_request(s311)))),
% 9.65/7.10 inference(rewrite,[status(thm)],[])).
% 9.65/7.10 tff(41868,plain,
% 9.65/7.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s311, c_ready)) | (~node2(s311, s312)) | m_main_v_state(s312, c_busy) | (~m_main_v_request(s311)))),
% 9.65/7.10 inference(quant_inst,[status(thm)],[])).
% 9.65/7.10 tff(41869,plain,
% 9.65/7.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s311, c_ready)) | (~node2(s311, s312)) | m_main_v_state(s312, c_busy) | (~m_main_v_request(s311))),
% 9.65/7.10 inference(modus_ponens,[status(thm)],[41868, 41867])).
% 9.65/7.10 tff(41870,plain,
% 9.65/7.10 ((~m_main_v_state(s311, c_ready)) | m_main_v_state(s312, c_busy) | (~m_main_v_request(s311))),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41869, 191, 41866])).
% 9.65/7.10 tff(41871,plain,
% 9.65/7.10 ($false),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41870, 41862, 40460, 39947])).
% 9.65/7.10 tff(41872,plain,(always3(s289) | (~until5(s58)) | xuntil6(s314)), inference(lemma,lemma(discharge,[]))).
% 9.65/7.10 tff(41873,plain,
% 9.65/7.10 (always3(s289)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41872, 38370, 6320])).
% 9.65/7.10 tff(41874,plain,
% 9.65/7.10 (always3(s290)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5445, 41873])).
% 9.65/7.10 tff(41875,plain,
% 9.65/7.10 (always3(s291)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5433, 41874])).
% 9.65/7.10 tff(41876,plain,
% 9.65/7.10 (always3(s292)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5421, 41875])).
% 9.65/7.10 tff(41877,plain,
% 9.65/7.10 (always3(s293)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5409, 41876])).
% 9.65/7.10 tff(41878,plain,
% 9.65/7.10 (always3(s294)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5397, 41877])).
% 9.65/7.10 tff(41879,plain,
% 9.65/7.10 (always3(s295)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5385, 41878])).
% 9.65/7.10 tff(41880,plain,
% 9.65/7.10 (always3(s296)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5373, 41879])).
% 9.65/7.10 tff(41881,plain,
% 9.65/7.10 (always3(s297)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5361, 41880])).
% 9.65/7.10 tff(41882,plain,
% 9.65/7.10 (always3(s298)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5349, 41881])).
% 9.65/7.10 tff(41883,plain,
% 9.65/7.10 (always3(s299)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5337, 41882])).
% 9.65/7.10 tff(41884,plain,
% 9.65/7.10 (always3(s300)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5325, 41883])).
% 9.65/7.10 tff(41885,plain,
% 9.65/7.10 (always3(s301)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5313, 41884])).
% 9.65/7.10 tff(41886,plain,
% 9.65/7.10 (always3(s302)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5301, 41885])).
% 9.65/7.10 tff(41887,plain,
% 9.65/7.10 (always3(s303)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5289, 41886])).
% 9.65/7.10 tff(41888,plain,
% 9.65/7.10 (always3(s304)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5277, 41887])).
% 9.65/7.10 tff(41889,plain,
% 9.65/7.10 (always3(s305)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5265, 41888])).
% 9.65/7.10 tff(41890,plain,
% 9.65/7.10 (always3(s306)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5253, 41889])).
% 9.65/7.10 tff(41891,plain,
% 9.65/7.10 (always3(s307)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5241, 41890])).
% 9.65/7.10 tff(41892,plain,
% 9.65/7.10 (always3(s308)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5229, 41891])).
% 9.65/7.10 tff(41893,plain,
% 9.65/7.10 (always3(s309)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5217, 41892])).
% 9.65/7.10 tff(41894,plain,
% 9.65/7.10 (always3(s310)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5205, 41893])).
% 9.65/7.10 tff(41895,plain,
% 9.65/7.10 (always3(s311)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5193, 41894])).
% 9.65/7.10 tff(41896,plain,
% 9.65/7.10 (always3(s312)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5181, 41895])).
% 9.65/7.10 tff(41897,plain,
% 9.65/7.10 (always3(s313)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5169, 41896])).
% 9.65/7.10 tff(41898,plain,
% 9.65/7.10 (~m_main_v_state(s313, c_busy)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[39432, 170, 41897])).
% 9.65/7.10 tff(41899,plain,
% 9.65/7.10 (m_main_v_state(s313, c_ready)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[39436, 213, 41898])).
% 9.65/7.10 tff(41900,plain,
% 9.65/7.10 (~m_main_v_request(s313)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[39445, 41899, 38873])).
% 9.65/7.10 tff(41901,plain,
% 9.65/7.10 (~node4(s313)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[39449, 154, 41900])).
% 9.65/7.10 tff(41902,plain,
% 9.65/7.10 (always3(s315)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5145, 38866])).
% 9.65/7.10 tff(41903,plain,
% 9.65/7.10 (~m_main_v_state(s315, c_busy)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[14299, 170, 41902])).
% 9.65/7.10 tff(41904,plain,
% 9.65/7.10 (m_main_v_state(s314, c_ready)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[38918, 213, 38873])).
% 9.65/7.10 tff(41905,plain,
% 9.65/7.10 (~m_main_v_request(s314)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[38927, 41904, 41903])).
% 9.65/7.10 tff(41906,plain,
% 9.65/7.10 (~node4(s314)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[38931, 154, 41905])).
% 9.65/7.10 tff(41907,plain,
% 9.65/7.10 (~until5(s314)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[38375, 41906])).
% 9.65/7.10 tff(41908,plain,
% 9.65/7.10 (~xuntil6(s313)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12557, 41907])).
% 9.65/7.10 tff(41909,plain,
% 9.65/7.10 (~until5(s313)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12551, 36, 41908, 41901])).
% 9.65/7.10 tff(41910,plain,
% 9.65/7.10 (~m_main_v_state(s312, c_busy)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[39946, 170, 41896])).
% 9.65/7.10 tff(41911,plain,
% 9.65/7.10 (m_main_v_state(s312, c_ready)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[39950, 213, 41910])).
% 9.65/7.10 tff(41912,plain,
% 9.65/7.10 (~m_main_v_request(s312)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[39959, 41911, 41898])).
% 9.65/7.10 tff(41913,plain,
% 9.65/7.10 (~node4(s312)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[39963, 154, 41912])).
% 9.65/7.10 tff(41914,plain,
% 9.65/7.10 (~m_main_v_state(s311, c_busy)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[40455, 170, 41895])).
% 9.65/7.10 tff(41915,plain,
% 9.65/7.10 (m_main_v_state(s311, c_ready)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[40459, 213, 41914])).
% 9.65/7.10 tff(41916,plain,
% 9.65/7.10 (~m_main_v_request(s311)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41870, 41915, 41910])).
% 9.65/7.10 tff(41917,plain,
% 9.65/7.10 (~node4(s311)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41861, 154, 41916])).
% 9.65/7.10 tff(41918,plain,
% 9.65/7.10 (((~![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)))),
% 9.65/7.10 inference(rewrite,[status(thm)],[])).
% 9.65/7.10 tff(41919,plain,
% 9.65/7.10 (((~m_main_v_state(s289, c_busy)) | (~always3(s289))) <=> ((~always3(s289)) | (~m_main_v_state(s289, c_busy)))),
% 9.65/7.10 inference(rewrite,[status(thm)],[])).
% 9.65/7.10 tff(41920,plain,
% 9.65/7.10 (((~![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))))),
% 9.65/7.10 inference(monotonicity,[status(thm)],[41919])).
% 9.65/7.10 tff(41921,plain,
% 9.65/7.10 (((~![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)))),
% 9.65/7.10 inference(transitivity,[status(thm)],[41920, 41918])).
% 9.65/7.10 tff(41922,plain,
% 9.65/7.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s289, c_busy)) | (~always3(s289)))),
% 9.65/7.10 inference(quant_inst,[status(thm)],[])).
% 9.65/7.10 tff(41923,plain,
% 9.65/7.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s289)) | (~m_main_v_state(s289, c_busy))),
% 9.65/7.10 inference(modus_ponens,[status(thm)],[41922, 41921])).
% 9.65/7.10 tff(41924,plain,
% 9.65/7.10 (~m_main_v_state(s289, c_busy)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41923, 170, 41873])).
% 9.65/7.10 tff(41925,assumption,(~m_main_v_state(s289, c_busy)), introduced(assumption)).
% 9.65/7.10 tff(41926,assumption,(node1(s288)), introduced(assumption)).
% 9.65/7.10 tff(41927,plain,
% 9.65/7.10 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s288, c_ready) | (~node1(s288)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s288, c_ready) | (~node1(s288)))),
% 9.65/7.10 inference(rewrite,[status(thm)],[])).
% 9.65/7.10 tff(41928,plain,
% 9.65/7.10 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s288, c_ready) | (~node1(s288)))),
% 9.65/7.10 inference(quant_inst,[status(thm)],[])).
% 9.65/7.10 tff(41929,plain,
% 9.65/7.10 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s288, c_ready) | (~node1(s288))),
% 9.65/7.10 inference(modus_ponens,[status(thm)],[41928, 41927])).
% 9.65/7.10 tff(41930,plain,
% 9.65/7.10 (m_main_v_state(s288, c_ready)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41929, 4151, 41926])).
% 9.65/7.10 tff(41931,plain,
% 9.65/7.10 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s288) | (~node1(s288)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s288) | (~node1(s288)))),
% 9.65/7.10 inference(rewrite,[status(thm)],[])).
% 9.65/7.10 tff(41932,plain,
% 9.65/7.10 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s288) | (~node1(s288)))),
% 9.65/7.10 inference(quant_inst,[status(thm)],[])).
% 9.65/7.10 tff(41933,plain,
% 9.65/7.10 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s288) | (~node1(s288))),
% 9.65/7.10 inference(modus_ponens,[status(thm)],[41932, 41931])).
% 9.65/7.10 tff(41934,plain,
% 9.65/7.10 (m_main_v_request(s288)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41933, 14380, 41926])).
% 9.65/7.10 tff(41935,plain,
% 9.65/7.10 (((~![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))),
% 9.65/7.10 inference(rewrite,[status(thm)],[])).
% 9.65/7.10 tff(41936,plain,
% 9.65/7.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s288, s289)) | node2(s288, s289))),
% 9.65/7.10 inference(quant_inst,[status(thm)],[])).
% 9.65/7.10 tff(41937,plain,
% 9.65/7.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s288, s289)) | node2(s288, s289)),
% 9.65/7.10 inference(modus_ponens,[status(thm)],[41936, 41935])).
% 9.65/7.10 tff(41938,plain,
% 9.65/7.10 (node2(s288, s289)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41937, 7, 5453])).
% 9.65/7.10 tff(41939,plain,
% 9.65/7.10 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.65/7.10 inference(rewrite,[status(thm)],[])).
% 9.65/7.10 tff(41940,plain,
% 9.65/7.10 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.65/7.10 inference(quant_inst,[status(thm)],[])).
% 9.65/7.10 tff(41941,plain,
% 9.65/7.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s288, c_ready)) | (~node2(s288, s289)) | m_main_v_state(s289, c_busy) | (~m_main_v_request(s288))),
% 9.65/7.10 inference(modus_ponens,[status(thm)],[41940, 41939])).
% 9.65/7.10 tff(41942,plain,
% 9.65/7.10 ((~m_main_v_state(s288, c_ready)) | m_main_v_state(s289, c_busy) | (~m_main_v_request(s288))),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41941, 191, 41938])).
% 9.65/7.10 tff(41943,plain,
% 9.65/7.10 ($false),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41942, 41934, 41930, 41925])).
% 9.65/7.10 tff(41944,plain,((~node1(s288)) | m_main_v_state(s289, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.65/7.10 tff(41945,plain,
% 9.65/7.10 (~node1(s288)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41944, 41924])).
% 9.65/7.10 tff(41946,plain,
% 9.65/7.10 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s288, s289)) | m_main_v_state(s289, c_busy) | node1(s288) | m_main_v_state(s289, 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(s288, s289)) | m_main_v_state(s289, c_busy) | node1(s288) | m_main_v_state(s289, c_ready))),
% 9.65/7.10 inference(rewrite,[status(thm)],[])).
% 9.65/7.10 tff(41947,plain,
% 9.65/7.10 ((node1(s288) | m_main_v_state(s289, c_ready) | (~node2(s288, s289)) | m_main_v_state(s289, c_busy)) <=> ((~node2(s288, s289)) | m_main_v_state(s289, c_busy) | node1(s288) | m_main_v_state(s289, c_ready))),
% 9.65/7.10 inference(rewrite,[status(thm)],[])).
% 9.65/7.10 tff(41948,plain,
% 9.65/7.10 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s288) | m_main_v_state(s289, c_ready) | (~node2(s288, s289)) | m_main_v_state(s289, 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(s288, s289)) | m_main_v_state(s289, c_busy) | node1(s288) | m_main_v_state(s289, c_ready)))),
% 9.65/7.10 inference(monotonicity,[status(thm)],[41947])).
% 9.65/7.10 tff(41949,plain,
% 9.65/7.10 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s288) | m_main_v_state(s289, c_ready) | (~node2(s288, s289)) | m_main_v_state(s289, 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(s288, s289)) | m_main_v_state(s289, c_busy) | node1(s288) | m_main_v_state(s289, c_ready))),
% 9.65/7.10 inference(transitivity,[status(thm)],[41948, 41946])).
% 9.65/7.10 tff(41950,plain,
% 9.65/7.10 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s288) | m_main_v_state(s289, c_ready) | (~node2(s288, s289)) | m_main_v_state(s289, c_busy))),
% 9.65/7.10 inference(quant_inst,[status(thm)],[])).
% 9.65/7.10 tff(41951,plain,
% 9.65/7.10 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s288, s289)) | m_main_v_state(s289, c_busy) | node1(s288) | m_main_v_state(s289, c_ready)),
% 9.65/7.10 inference(modus_ponens,[status(thm)],[41950, 41949])).
% 9.65/7.10 tff(41952,plain,
% 9.65/7.10 (m_main_v_state(s289, c_busy) | node1(s288) | m_main_v_state(s289, c_ready)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41951, 4166, 41938])).
% 9.65/7.10 tff(41953,plain,
% 9.65/7.10 (m_main_v_state(s289, c_ready)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41952, 41924, 41945])).
% 9.65/7.10 tff(41954,plain,
% 9.65/7.10 (~m_main_v_state(s290, c_busy)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41848, 170, 41874])).
% 9.65/7.10 tff(41955,plain,
% 9.65/7.10 (((~![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))),
% 9.65/7.10 inference(rewrite,[status(thm)],[])).
% 9.65/7.10 tff(41956,plain,
% 9.65/7.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s289, s290)) | node2(s289, s290))),
% 9.65/7.10 inference(quant_inst,[status(thm)],[])).
% 9.65/7.10 tff(41957,plain,
% 9.65/7.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s289, s290)) | node2(s289, s290)),
% 9.65/7.10 inference(modus_ponens,[status(thm)],[41956, 41955])).
% 9.65/7.10 tff(41958,plain,
% 9.65/7.10 (node2(s289, s290)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41957, 7, 5441])).
% 9.65/7.10 tff(41959,plain,
% 9.65/7.10 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.65/7.10 inference(rewrite,[status(thm)],[])).
% 9.65/7.10 tff(41960,plain,
% 9.65/7.10 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.65/7.10 inference(quant_inst,[status(thm)],[])).
% 9.65/7.10 tff(41961,plain,
% 9.65/7.10 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 9.65/7.10 inference(modus_ponens,[status(thm)],[41960, 41959])).
% 9.65/7.10 tff(41962,plain,
% 9.65/7.10 ((~m_main_v_state(s289, c_ready)) | m_main_v_state(s290, c_busy) | (~m_main_v_request(s289))),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41961, 191, 41958])).
% 9.65/7.10 tff(41963,plain,
% 9.65/7.10 (~m_main_v_request(s289)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41962, 41954, 41953])).
% 9.65/7.10 tff(41964,plain,
% 9.65/7.10 (((~![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)))),
% 9.65/7.10 inference(rewrite,[status(thm)],[])).
% 9.65/7.10 tff(41965,plain,
% 9.65/7.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s289) | (~node4(s289)))),
% 9.65/7.10 inference(quant_inst,[status(thm)],[])).
% 9.65/7.10 tff(41966,plain,
% 9.65/7.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s289) | (~node4(s289))),
% 9.65/7.10 inference(modus_ponens,[status(thm)],[41965, 41964])).
% 9.65/7.10 tff(41967,plain,
% 9.65/7.10 (~node4(s289)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41966, 154, 41963])).
% 9.65/7.10 tff(41968,assumption,(until5(s277)), introduced(assumption)).
% 9.65/7.10 tff(41969,assumption,(~xuntil6(s288)), introduced(assumption)).
% 9.65/7.10 tff(41970,assumption,(~always3(s288)), introduced(assumption)).
% 9.65/7.10 tff(41971,plain,
% 9.65/7.10 (~always3(s287)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5469, 41970])).
% 9.65/7.10 tff(41972,plain,
% 9.65/7.10 (~always3(s286)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5481, 41971])).
% 9.65/7.10 tff(41973,plain,
% 9.65/7.10 (~always3(s285)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5493, 41972])).
% 9.65/7.10 tff(41974,plain,
% 9.65/7.10 (~always3(s284)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5505, 41973])).
% 9.65/7.10 tff(41975,plain,
% 9.65/7.10 (~always3(s283)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5517, 41974])).
% 9.65/7.10 tff(41976,plain,
% 9.65/7.10 (~always3(s282)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5529, 41975])).
% 9.65/7.10 tff(41977,plain,
% 9.65/7.10 (~always3(s281)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5541, 41976])).
% 9.65/7.10 tff(41978,plain,
% 9.65/7.10 (~always3(s280)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5553, 41977])).
% 9.65/7.10 tff(41979,plain,
% 9.65/7.10 (~always3(s279)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5565, 41978])).
% 9.65/7.10 tff(41980,plain,
% 9.65/7.10 (~always3(s278)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5577, 41979])).
% 9.65/7.10 tff(41981,plain,
% 9.65/7.10 (~node4(s278)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[11949, 22, 41980])).
% 9.65/7.10 tff(41982,plain,
% 9.65/7.10 (~always3(s277)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5589, 41980])).
% 9.65/7.10 tff(41983,plain,
% 9.65/7.10 (~node4(s277)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[11932, 22, 41982])).
% 9.65/7.10 tff(41984,plain,
% 9.65/7.10 (xuntil6(s277) | node4(s277)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[11939, 36, 41968])).
% 9.65/7.10 tff(41985,plain,
% 9.65/7.10 (xuntil6(s277)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41984, 41983])).
% 9.65/7.10 tff(41986,plain,
% 9.65/7.10 (until5(s278)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[11945, 41985])).
% 9.65/7.10 tff(41987,plain,
% 9.65/7.10 (xuntil6(s278)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[11956, 36, 41986, 41981])).
% 9.65/7.10 tff(41988,plain,
% 9.65/7.10 (until5(s279)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[11962, 41987])).
% 9.65/7.10 tff(41989,plain,
% 9.65/7.10 (~node4(s279)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[11966, 22, 41979])).
% 9.65/7.10 tff(41990,plain,
% 9.65/7.10 (xuntil6(s279) | (~until5(s279))),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[11973, 36, 41989])).
% 9.65/7.10 tff(41991,plain,
% 9.65/7.10 (xuntil6(s279)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41990, 41988])).
% 9.65/7.10 tff(41992,plain,
% 9.65/7.10 (until5(s280)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[11979, 41991])).
% 9.65/7.10 tff(41993,plain,
% 9.65/7.10 (~node4(s280)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[11983, 22, 41978])).
% 9.65/7.10 tff(41994,plain,
% 9.65/7.10 (xuntil6(s280) | (~until5(s280))),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[11990, 36, 41993])).
% 9.65/7.10 tff(41995,plain,
% 9.65/7.10 (xuntil6(s280)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41994, 41992])).
% 9.65/7.10 tff(41996,plain,
% 9.65/7.10 (until5(s281)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[11996, 41995])).
% 9.65/7.10 tff(41997,plain,
% 9.65/7.10 (~node4(s281)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12000, 22, 41977])).
% 9.65/7.10 tff(41998,plain,
% 9.65/7.10 (xuntil6(s281) | (~until5(s281))),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12007, 36, 41997])).
% 9.65/7.10 tff(41999,plain,
% 9.65/7.10 (xuntil6(s281)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41998, 41996])).
% 9.65/7.10 tff(42000,plain,
% 9.65/7.10 (until5(s282)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12013, 41999])).
% 9.65/7.10 tff(42001,plain,
% 9.65/7.10 (~node4(s282)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12017, 22, 41976])).
% 9.65/7.10 tff(42002,plain,
% 9.65/7.10 (xuntil6(s282) | (~until5(s282))),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12024, 36, 42001])).
% 9.65/7.10 tff(42003,plain,
% 9.65/7.10 (xuntil6(s282)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42002, 42000])).
% 9.65/7.10 tff(42004,plain,
% 9.65/7.10 (until5(s283)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12030, 42003])).
% 9.65/7.10 tff(42005,plain,
% 9.65/7.10 (~node4(s283)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12034, 22, 41975])).
% 9.65/7.10 tff(42006,plain,
% 9.65/7.10 (xuntil6(s283) | (~until5(s283))),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12041, 36, 42005])).
% 9.65/7.10 tff(42007,plain,
% 9.65/7.10 (xuntil6(s283)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42006, 42004])).
% 9.65/7.10 tff(42008,plain,
% 9.65/7.10 (until5(s284)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12047, 42007])).
% 9.65/7.10 tff(42009,plain,
% 9.65/7.10 (~node4(s284)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12051, 22, 41974])).
% 9.65/7.10 tff(42010,plain,
% 9.65/7.10 (xuntil6(s284) | (~until5(s284))),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12058, 36, 42009])).
% 9.65/7.10 tff(42011,plain,
% 9.65/7.10 (xuntil6(s284)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42010, 42008])).
% 9.65/7.10 tff(42012,plain,
% 9.65/7.10 (until5(s285)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12064, 42011])).
% 9.65/7.10 tff(42013,plain,
% 9.65/7.10 (~node4(s285)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12068, 22, 41973])).
% 9.65/7.10 tff(42014,plain,
% 9.65/7.10 (xuntil6(s285) | (~until5(s285))),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12075, 36, 42013])).
% 9.65/7.10 tff(42015,plain,
% 9.65/7.10 (xuntil6(s285)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42014, 42012])).
% 9.65/7.10 tff(42016,plain,
% 9.65/7.10 (until5(s286)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12081, 42015])).
% 9.65/7.10 tff(42017,plain,
% 9.65/7.10 (~node4(s286)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12085, 22, 41972])).
% 9.65/7.10 tff(42018,plain,
% 9.65/7.10 (xuntil6(s286) | (~until5(s286))),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12092, 36, 42017])).
% 9.65/7.10 tff(42019,plain,
% 9.65/7.10 (xuntil6(s286)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42018, 42016])).
% 9.65/7.10 tff(42020,plain,
% 9.65/7.10 (until5(s287)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12098, 42019])).
% 9.65/7.10 tff(42021,plain,
% 9.65/7.10 (~node4(s287)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12102, 22, 41971])).
% 9.65/7.10 tff(42022,plain,
% 9.65/7.10 (xuntil6(s287) | (~until5(s287))),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12109, 36, 42021])).
% 9.65/7.10 tff(42023,plain,
% 9.65/7.10 (xuntil6(s287)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42022, 42020])).
% 9.65/7.10 tff(42024,plain,
% 9.65/7.10 (until5(s288)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12115, 42023])).
% 9.65/7.10 tff(42025,plain,
% 9.65/7.10 (node4(s288) | (~until5(s288))),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12126, 36, 41969])).
% 9.65/7.10 tff(42026,plain,
% 9.65/7.10 (node4(s288)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42025, 42024])).
% 9.65/7.10 tff(42027,plain,
% 9.65/7.10 ($false),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12119, 22, 41970, 42026])).
% 9.65/7.10 tff(42028,plain,(always3(s288) | xuntil6(s288) | (~until5(s277))), inference(lemma,lemma(discharge,[]))).
% 9.65/7.10 tff(42029,plain,
% 9.65/7.10 (always3(s288)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42028, 41968, 41969])).
% 9.65/7.10 tff(42030,plain,
% 9.65/7.10 (((~![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)))),
% 9.65/7.10 inference(rewrite,[status(thm)],[])).
% 9.65/7.10 tff(42031,plain,
% 9.65/7.10 (((~m_main_v_state(s288, c_busy)) | (~always3(s288))) <=> ((~always3(s288)) | (~m_main_v_state(s288, c_busy)))),
% 9.65/7.10 inference(rewrite,[status(thm)],[])).
% 9.65/7.10 tff(42032,plain,
% 9.65/7.10 (((~![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))))),
% 9.65/7.10 inference(monotonicity,[status(thm)],[42031])).
% 9.65/7.10 tff(42033,plain,
% 9.65/7.10 (((~![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)))),
% 9.65/7.10 inference(transitivity,[status(thm)],[42032, 42030])).
% 9.65/7.10 tff(42034,plain,
% 9.65/7.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s288, c_busy)) | (~always3(s288)))),
% 9.65/7.10 inference(quant_inst,[status(thm)],[])).
% 9.65/7.10 tff(42035,plain,
% 9.65/7.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s288)) | (~m_main_v_state(s288, c_busy))),
% 9.65/7.10 inference(modus_ponens,[status(thm)],[42034, 42033])).
% 9.65/7.10 tff(42036,plain,
% 9.65/7.10 (~m_main_v_state(s288, c_busy)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42035, 170, 42029])).
% 9.65/7.10 tff(42037,assumption,(~m_main_v_state(s288, c_busy)), introduced(assumption)).
% 9.65/7.10 tff(42038,assumption,(node4(s287)), introduced(assumption)).
% 9.65/7.10 tff(42039,plain,
% 9.65/7.10 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s287) | (~node4(s287)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s287) | (~node4(s287)))),
% 9.65/7.10 inference(rewrite,[status(thm)],[])).
% 9.65/7.10 tff(42040,plain,
% 9.65/7.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s287) | (~node4(s287)))),
% 9.65/7.10 inference(quant_inst,[status(thm)],[])).
% 9.65/7.10 tff(42041,plain,
% 9.65/7.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s287) | (~node4(s287))),
% 9.65/7.10 inference(modus_ponens,[status(thm)],[42040, 42039])).
% 9.65/7.10 tff(42042,plain,
% 9.65/7.10 (m_main_v_request(s287)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42041, 154, 42038])).
% 9.65/7.10 tff(42043,plain,
% 9.65/7.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s287, s288)) | node2(s287, s288))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s287, s288)) | node2(s287, s288))),
% 9.65/7.10 inference(rewrite,[status(thm)],[])).
% 9.65/7.10 tff(42044,plain,
% 9.65/7.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s287, s288)) | node2(s287, s288))),
% 9.65/7.10 inference(quant_inst,[status(thm)],[])).
% 9.65/7.10 tff(42045,plain,
% 9.65/7.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s287, s288)) | node2(s287, s288)),
% 9.65/7.10 inference(modus_ponens,[status(thm)],[42044, 42043])).
% 9.65/7.10 tff(42046,plain,
% 9.65/7.10 (node2(s287, s288)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42045, 7, 5465])).
% 9.65/7.10 tff(42047,plain,
% 9.65/7.10 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s287, c_ready)) | (~node2(s287, s288)) | m_main_v_state(s288, c_busy) | (~m_main_v_request(s287)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s287, c_ready)) | (~node2(s287, s288)) | m_main_v_state(s288, c_busy) | (~m_main_v_request(s287)))),
% 9.65/7.10 inference(rewrite,[status(thm)],[])).
% 9.65/7.10 tff(42048,plain,
% 9.65/7.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s287, c_ready)) | (~node2(s287, s288)) | m_main_v_state(s288, c_busy) | (~m_main_v_request(s287)))),
% 9.65/7.10 inference(quant_inst,[status(thm)],[])).
% 9.65/7.10 tff(42049,plain,
% 9.65/7.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s287, c_ready)) | (~node2(s287, s288)) | m_main_v_state(s288, c_busy) | (~m_main_v_request(s287))),
% 9.65/7.10 inference(modus_ponens,[status(thm)],[42048, 42047])).
% 9.65/7.10 tff(42050,plain,
% 9.65/7.10 ((~m_main_v_state(s287, c_ready)) | m_main_v_state(s288, c_busy) | (~m_main_v_request(s287))),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42049, 191, 42046])).
% 9.65/7.10 tff(42051,plain,
% 9.65/7.10 (~m_main_v_state(s287, c_ready)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42050, 42042, 42037])).
% 9.65/7.10 tff(42052,plain,
% 9.65/7.10 (always3(s287)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12102, 22, 42038])).
% 9.65/7.10 tff(42053,plain,
% 9.65/7.10 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s287)) | (~m_main_v_state(s287, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s287)) | (~m_main_v_state(s287, c_busy)))),
% 9.65/7.10 inference(rewrite,[status(thm)],[])).
% 9.65/7.10 tff(42054,plain,
% 9.65/7.10 (((~m_main_v_state(s287, c_busy)) | (~always3(s287))) <=> ((~always3(s287)) | (~m_main_v_state(s287, c_busy)))),
% 9.65/7.10 inference(rewrite,[status(thm)],[])).
% 9.65/7.10 tff(42055,plain,
% 9.65/7.10 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s287, c_busy)) | (~always3(s287)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s287)) | (~m_main_v_state(s287, c_busy))))),
% 9.65/7.10 inference(monotonicity,[status(thm)],[42054])).
% 9.65/7.10 tff(42056,plain,
% 9.65/7.10 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s287, c_busy)) | (~always3(s287)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s287)) | (~m_main_v_state(s287, c_busy)))),
% 9.65/7.10 inference(transitivity,[status(thm)],[42055, 42053])).
% 9.65/7.10 tff(42057,plain,
% 9.65/7.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s287, c_busy)) | (~always3(s287)))),
% 9.65/7.10 inference(quant_inst,[status(thm)],[])).
% 9.65/7.10 tff(42058,plain,
% 9.65/7.10 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s287)) | (~m_main_v_state(s287, c_busy))),
% 9.65/7.10 inference(modus_ponens,[status(thm)],[42057, 42056])).
% 9.65/7.10 tff(42059,plain,
% 9.65/7.10 (~m_main_v_state(s287, c_busy)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42058, 170, 42052])).
% 9.65/7.10 tff(42060,plain,
% 9.65/7.10 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s287, c_busy) | m_main_v_state(s287, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s287, c_busy) | m_main_v_state(s287, c_ready))),
% 9.65/7.10 inference(rewrite,[status(thm)],[])).
% 9.65/7.10 tff(42061,plain,
% 9.65/7.10 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s287, c_busy) | m_main_v_state(s287, c_ready))),
% 9.65/7.10 inference(quant_inst,[status(thm)],[])).
% 9.65/7.10 tff(42062,plain,
% 9.65/7.10 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s287, c_busy) | m_main_v_state(s287, c_ready)),
% 9.65/7.10 inference(modus_ponens,[status(thm)],[42061, 42060])).
% 9.65/7.10 tff(42063,plain,
% 9.65/7.10 ($false),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42062, 213, 42059, 42051])).
% 9.65/7.10 tff(42064,plain,((~node4(s287)) | m_main_v_state(s288, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.65/7.10 tff(42065,plain,
% 9.65/7.10 (~node4(s287)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42064, 42036])).
% 9.65/7.10 tff(42066,plain,
% 9.65/7.10 (((~![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))),
% 9.65/7.10 inference(rewrite,[status(thm)],[])).
% 9.65/7.10 tff(42067,plain,
% 9.65/7.10 ((~![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))),
% 9.65/7.10 inference(quant_inst,[status(thm)],[])).
% 9.65/7.10 tff(42068,plain,
% 9.65/7.10 ((~![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)),
% 9.65/7.10 inference(modus_ponens,[status(thm)],[42067, 42066])).
% 9.65/7.10 tff(42069,plain,
% 9.65/7.10 (m_main_v_state(s288, c_ready)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42068, 213, 42036])).
% 9.65/7.10 tff(42070,plain,
% 9.65/7.10 (~m_main_v_request(s288)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41942, 42069, 41925])).
% 9.65/7.10 tff(42071,plain,
% 9.65/7.10 (((~![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)))),
% 9.65/7.10 inference(rewrite,[status(thm)],[])).
% 9.65/7.10 tff(42072,plain,
% 9.65/7.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s288) | (~node4(s288)))),
% 9.65/7.10 inference(quant_inst,[status(thm)],[])).
% 9.65/7.10 tff(42073,plain,
% 9.65/7.10 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s288) | (~node4(s288))),
% 9.65/7.10 inference(modus_ponens,[status(thm)],[42072, 42071])).
% 9.65/7.10 tff(42074,plain,
% 9.65/7.10 (~node4(s288)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42073, 154, 42070])).
% 9.65/7.10 tff(42075,plain,
% 9.65/7.10 (~until5(s288)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42025, 42074])).
% 9.65/7.10 tff(42076,plain,
% 9.65/7.10 (~xuntil6(s287)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12115, 42075])).
% 9.65/7.10 tff(42077,plain,
% 9.65/7.10 (node4(s287) | (~until5(s287))),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12109, 36, 42076])).
% 9.65/7.10 tff(42078,plain,
% 9.65/7.10 (~until5(s287)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42077, 42065])).
% 9.65/7.10 tff(42079,plain,
% 9.65/7.10 (~xuntil6(s286)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12098, 42078])).
% 9.65/7.10 tff(42080,assumption,(~always3(s286)), introduced(assumption)).
% 9.65/7.10 tff(42081,plain,
% 9.65/7.10 (~always3(s285)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5493, 42080])).
% 9.65/7.10 tff(42082,plain,
% 9.65/7.10 (~node4(s285)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12068, 22, 42081])).
% 9.65/7.10 tff(42083,plain,
% 9.65/7.10 (~node4(s286)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12085, 22, 42080])).
% 9.65/7.10 tff(42084,assumption,(~xuntil6(s286)), introduced(assumption)).
% 9.65/7.10 tff(42085,plain,
% 9.65/7.10 (node4(s286) | (~until5(s286))),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12092, 36, 42084])).
% 9.65/7.10 tff(42086,plain,
% 9.65/7.10 (~until5(s286)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42085, 42083])).
% 9.65/7.10 tff(42087,plain,
% 9.65/7.10 (~xuntil6(s285)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12081, 42086])).
% 9.65/7.10 tff(42088,plain,
% 9.65/7.10 (~until5(s285)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12075, 36, 42087, 42082])).
% 9.65/7.10 tff(42089,plain,
% 9.65/7.10 (~xuntil6(s284)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12064, 42088])).
% 9.65/7.10 tff(42090,plain,
% 9.65/7.10 (~always3(s284)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5505, 42081])).
% 9.65/7.10 tff(42091,plain,
% 9.65/7.10 (~node4(s284)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12051, 22, 42090])).
% 9.65/7.10 tff(42092,plain,
% 9.65/7.10 (xuntil6(s284) | (~until5(s284))),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12058, 36, 42091])).
% 9.65/7.10 tff(42093,plain,
% 9.65/7.10 (~until5(s284)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42092, 42089])).
% 9.65/7.10 tff(42094,plain,
% 9.65/7.10 (~xuntil6(s283)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12047, 42093])).
% 9.65/7.10 tff(42095,plain,
% 9.65/7.10 (~always3(s283)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5517, 42090])).
% 9.65/7.10 tff(42096,plain,
% 9.65/7.10 (~node4(s283)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12034, 22, 42095])).
% 9.65/7.10 tff(42097,plain,
% 9.65/7.10 (xuntil6(s283) | (~until5(s283))),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12041, 36, 42096])).
% 9.65/7.10 tff(42098,plain,
% 9.65/7.10 (~until5(s283)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42097, 42094])).
% 9.65/7.10 tff(42099,plain,
% 9.65/7.10 (~xuntil6(s282)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12030, 42098])).
% 9.65/7.10 tff(42100,plain,
% 9.65/7.10 (~always3(s282)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5529, 42095])).
% 9.65/7.10 tff(42101,plain,
% 9.65/7.10 (~node4(s282)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12017, 22, 42100])).
% 9.65/7.10 tff(42102,plain,
% 9.65/7.10 (xuntil6(s282) | (~until5(s282))),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12024, 36, 42101])).
% 9.65/7.10 tff(42103,plain,
% 9.65/7.10 (~until5(s282)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42102, 42099])).
% 9.65/7.10 tff(42104,plain,
% 9.65/7.10 (~always3(s281)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5541, 42100])).
% 9.65/7.10 tff(42105,plain,
% 9.65/7.10 (~always3(s280)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5553, 42104])).
% 9.65/7.10 tff(42106,plain,
% 9.65/7.10 (~always3(s279)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5565, 42105])).
% 9.65/7.10 tff(42107,plain,
% 9.65/7.10 (~always3(s278)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5577, 42106])).
% 9.65/7.10 tff(42108,plain,
% 9.65/7.10 (~node4(s278)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[11949, 22, 42107])).
% 9.65/7.10 tff(42109,plain,
% 9.65/7.10 (~always3(s277)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[5589, 42107])).
% 9.65/7.10 tff(42110,plain,
% 9.65/7.10 (~node4(s277)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[11932, 22, 42109])).
% 9.65/7.10 tff(42111,plain,
% 9.65/7.10 (xuntil6(s277)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[41984, 42110])).
% 9.65/7.10 tff(42112,plain,
% 9.65/7.10 (until5(s278)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[11945, 42111])).
% 9.65/7.10 tff(42113,plain,
% 9.65/7.10 (xuntil6(s278)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[11956, 36, 42112, 42108])).
% 9.65/7.10 tff(42114,plain,
% 9.65/7.10 (until5(s279)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[11962, 42113])).
% 9.65/7.10 tff(42115,plain,
% 9.65/7.10 (~node4(s279)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[11966, 22, 42106])).
% 9.65/7.10 tff(42116,plain,
% 9.65/7.10 (xuntil6(s279) | (~until5(s279))),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[11973, 36, 42115])).
% 9.65/7.10 tff(42117,plain,
% 9.65/7.10 (xuntil6(s279)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42116, 42114])).
% 9.65/7.10 tff(42118,plain,
% 9.65/7.10 (until5(s280)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[11979, 42117])).
% 9.65/7.10 tff(42119,plain,
% 9.65/7.10 (~node4(s280)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[11983, 22, 42105])).
% 9.65/7.10 tff(42120,plain,
% 9.65/7.10 (xuntil6(s280) | (~until5(s280))),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[11990, 36, 42119])).
% 9.65/7.10 tff(42121,plain,
% 9.65/7.10 (xuntil6(s280)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42120, 42118])).
% 9.65/7.10 tff(42122,plain,
% 9.65/7.10 (until5(s281)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[11996, 42121])).
% 9.65/7.10 tff(42123,plain,
% 9.65/7.10 (~node4(s281)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12000, 22, 42104])).
% 9.65/7.10 tff(42124,plain,
% 9.65/7.10 (xuntil6(s281) | (~until5(s281))),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12007, 36, 42123])).
% 9.65/7.10 tff(42125,plain,
% 9.65/7.10 (xuntil6(s281)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42124, 42122])).
% 9.65/7.10 tff(42126,plain,
% 9.65/7.10 ($false),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[12013, 42125, 42103])).
% 9.65/7.10 tff(42127,plain,(always3(s286) | (~until5(s277)) | xuntil6(s286)), inference(lemma,lemma(discharge,[]))).
% 9.65/7.10 tff(42128,plain,
% 9.65/7.10 (always3(s286)),
% 9.65/7.10 inference(unit_resolution,[status(thm)],[42127, 41968, 42079])).
% 9.65/7.10 tff(42129,plain,
% 9.65/7.11 (((~![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)))),
% 9.65/7.11 inference(rewrite,[status(thm)],[])).
% 9.65/7.11 tff(42130,plain,
% 9.65/7.11 (((~m_main_v_state(s286, c_busy)) | (~always3(s286))) <=> ((~always3(s286)) | (~m_main_v_state(s286, c_busy)))),
% 9.65/7.11 inference(rewrite,[status(thm)],[])).
% 9.65/7.11 tff(42131,plain,
% 9.65/7.11 (((~![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))))),
% 9.65/7.11 inference(monotonicity,[status(thm)],[42130])).
% 9.65/7.11 tff(42132,plain,
% 9.65/7.11 (((~![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)))),
% 9.65/7.11 inference(transitivity,[status(thm)],[42131, 42129])).
% 9.65/7.11 tff(42133,plain,
% 9.65/7.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s286, c_busy)) | (~always3(s286)))),
% 9.65/7.11 inference(quant_inst,[status(thm)],[])).
% 9.65/7.11 tff(42134,plain,
% 9.65/7.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s286)) | (~m_main_v_state(s286, c_busy))),
% 9.65/7.11 inference(modus_ponens,[status(thm)],[42133, 42132])).
% 9.65/7.11 tff(42135,plain,
% 9.65/7.11 (~m_main_v_state(s286, c_busy)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42134, 170, 42128])).
% 9.65/7.11 tff(42136,assumption,(~m_main_v_state(s286, c_busy)), introduced(assumption)).
% 9.65/7.11 tff(42137,assumption,(node4(s285)), introduced(assumption)).
% 9.65/7.11 tff(42138,plain,
% 9.65/7.11 (((~![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)))),
% 9.65/7.11 inference(rewrite,[status(thm)],[])).
% 9.65/7.11 tff(42139,plain,
% 9.65/7.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s285) | (~node4(s285)))),
% 9.65/7.11 inference(quant_inst,[status(thm)],[])).
% 9.65/7.11 tff(42140,plain,
% 9.65/7.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s285) | (~node4(s285))),
% 9.65/7.11 inference(modus_ponens,[status(thm)],[42139, 42138])).
% 9.65/7.11 tff(42141,plain,
% 9.65/7.11 (m_main_v_request(s285)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42140, 154, 42137])).
% 9.65/7.11 tff(42142,plain,
% 9.65/7.11 (((~![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))),
% 9.65/7.11 inference(rewrite,[status(thm)],[])).
% 9.65/7.11 tff(42143,plain,
% 9.65/7.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s285, s286)) | node2(s285, s286))),
% 9.65/7.11 inference(quant_inst,[status(thm)],[])).
% 9.65/7.11 tff(42144,plain,
% 9.65/7.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s285, s286)) | node2(s285, s286)),
% 9.65/7.11 inference(modus_ponens,[status(thm)],[42143, 42142])).
% 9.65/7.11 tff(42145,plain,
% 9.65/7.11 (node2(s285, s286)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42144, 7, 5489])).
% 9.65/7.11 tff(42146,plain,
% 9.65/7.11 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.65/7.11 inference(rewrite,[status(thm)],[])).
% 9.65/7.11 tff(42147,plain,
% 9.65/7.11 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 9.65/7.11 inference(quant_inst,[status(thm)],[])).
% 9.65/7.11 tff(42148,plain,
% 9.65/7.11 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 9.65/7.11 inference(modus_ponens,[status(thm)],[42147, 42146])).
% 9.65/7.11 tff(42149,plain,
% 9.65/7.11 ((~m_main_v_state(s285, c_ready)) | m_main_v_state(s286, c_busy) | (~m_main_v_request(s285))),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42148, 191, 42145])).
% 9.65/7.11 tff(42150,plain,
% 9.65/7.11 (~m_main_v_state(s285, c_ready)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42149, 42141, 42136])).
% 9.65/7.11 tff(42151,plain,
% 9.65/7.11 (always3(s285)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12068, 22, 42137])).
% 9.65/7.11 tff(42152,plain,
% 9.65/7.11 (((~![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)))),
% 9.65/7.11 inference(rewrite,[status(thm)],[])).
% 9.65/7.11 tff(42153,plain,
% 9.65/7.11 (((~m_main_v_state(s285, c_busy)) | (~always3(s285))) <=> ((~always3(s285)) | (~m_main_v_state(s285, c_busy)))),
% 9.65/7.11 inference(rewrite,[status(thm)],[])).
% 9.65/7.11 tff(42154,plain,
% 9.65/7.11 (((~![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))))),
% 9.65/7.11 inference(monotonicity,[status(thm)],[42153])).
% 9.65/7.11 tff(42155,plain,
% 9.65/7.11 (((~![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)))),
% 9.65/7.11 inference(transitivity,[status(thm)],[42154, 42152])).
% 9.65/7.11 tff(42156,plain,
% 9.65/7.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s285, c_busy)) | (~always3(s285)))),
% 9.65/7.11 inference(quant_inst,[status(thm)],[])).
% 9.65/7.11 tff(42157,plain,
% 9.65/7.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s285)) | (~m_main_v_state(s285, c_busy))),
% 9.65/7.11 inference(modus_ponens,[status(thm)],[42156, 42155])).
% 9.65/7.11 tff(42158,plain,
% 9.65/7.11 (~m_main_v_state(s285, c_busy)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42157, 170, 42151])).
% 9.65/7.11 tff(42159,plain,
% 9.65/7.11 (((~![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))),
% 9.65/7.11 inference(rewrite,[status(thm)],[])).
% 9.65/7.11 tff(42160,plain,
% 9.65/7.11 ((~![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))),
% 9.65/7.11 inference(quant_inst,[status(thm)],[])).
% 9.65/7.11 tff(42161,plain,
% 9.65/7.11 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s285, c_busy) | m_main_v_state(s285, c_ready)),
% 9.65/7.11 inference(modus_ponens,[status(thm)],[42160, 42159])).
% 9.65/7.11 tff(42162,plain,
% 9.65/7.11 ($false),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42161, 213, 42158, 42150])).
% 9.65/7.11 tff(42163,plain,((~node4(s285)) | m_main_v_state(s286, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.65/7.11 tff(42164,plain,
% 9.65/7.11 (~node4(s285)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42163, 42135])).
% 9.65/7.11 tff(42165,plain,
% 9.65/7.11 (always3(s287)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[5481, 42128])).
% 9.65/7.11 tff(42166,plain,
% 9.65/7.11 (~m_main_v_state(s287, c_busy)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42058, 170, 42165])).
% 9.65/7.11 tff(42167,plain,
% 9.65/7.11 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s286, c_busy) | m_main_v_state(s286, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s286, c_busy) | m_main_v_state(s286, c_ready))),
% 9.65/7.11 inference(rewrite,[status(thm)],[])).
% 9.65/7.11 tff(42168,plain,
% 9.65/7.11 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s286, c_busy) | m_main_v_state(s286, c_ready))),
% 9.65/7.11 inference(quant_inst,[status(thm)],[])).
% 9.65/7.11 tff(42169,plain,
% 9.65/7.11 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s286, c_busy) | m_main_v_state(s286, c_ready)),
% 9.65/7.11 inference(modus_ponens,[status(thm)],[42168, 42167])).
% 9.65/7.11 tff(42170,plain,
% 9.65/7.11 (m_main_v_state(s286, c_ready)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42169, 213, 42135])).
% 9.65/7.11 tff(42171,plain,
% 9.65/7.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s286, s287)) | node2(s286, s287))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s286, s287)) | node2(s286, s287))),
% 9.65/7.11 inference(rewrite,[status(thm)],[])).
% 9.65/7.11 tff(42172,plain,
% 9.65/7.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s286, s287)) | node2(s286, s287))),
% 9.65/7.11 inference(quant_inst,[status(thm)],[])).
% 9.65/7.11 tff(42173,plain,
% 9.65/7.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s286, s287)) | node2(s286, s287)),
% 9.65/7.11 inference(modus_ponens,[status(thm)],[42172, 42171])).
% 9.65/7.11 tff(42174,plain,
% 9.65/7.11 (node2(s286, s287)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42173, 7, 5477])).
% 9.65/7.11 tff(42175,plain,
% 9.65/7.11 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s286, c_ready)) | (~node2(s286, s287)) | m_main_v_state(s287, c_busy) | (~m_main_v_request(s286)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s286, c_ready)) | (~node2(s286, s287)) | m_main_v_state(s287, c_busy) | (~m_main_v_request(s286)))),
% 9.65/7.11 inference(rewrite,[status(thm)],[])).
% 9.65/7.11 tff(42176,plain,
% 9.65/7.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s286, c_ready)) | (~node2(s286, s287)) | m_main_v_state(s287, c_busy) | (~m_main_v_request(s286)))),
% 9.65/7.11 inference(quant_inst,[status(thm)],[])).
% 9.65/7.11 tff(42177,plain,
% 9.65/7.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s286, c_ready)) | (~node2(s286, s287)) | m_main_v_state(s287, c_busy) | (~m_main_v_request(s286))),
% 9.65/7.11 inference(modus_ponens,[status(thm)],[42176, 42175])).
% 9.65/7.11 tff(42178,plain,
% 9.65/7.11 ((~m_main_v_state(s286, c_ready)) | m_main_v_state(s287, c_busy) | (~m_main_v_request(s286))),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42177, 191, 42174])).
% 9.65/7.11 tff(42179,plain,
% 9.65/7.11 (~m_main_v_request(s286)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42178, 42170, 42166])).
% 9.65/7.11 tff(42180,plain,
% 9.65/7.11 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s286) | (~node4(s286)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s286) | (~node4(s286)))),
% 9.65/7.11 inference(rewrite,[status(thm)],[])).
% 9.65/7.11 tff(42181,plain,
% 9.65/7.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s286) | (~node4(s286)))),
% 9.65/7.11 inference(quant_inst,[status(thm)],[])).
% 9.65/7.11 tff(42182,plain,
% 9.65/7.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s286) | (~node4(s286))),
% 9.65/7.11 inference(modus_ponens,[status(thm)],[42181, 42180])).
% 9.65/7.11 tff(42183,plain,
% 9.65/7.11 (~node4(s286)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42182, 154, 42179])).
% 9.65/7.11 tff(42184,plain,
% 9.65/7.11 (node4(s286) | (~until5(s286))),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12092, 36, 42079])).
% 9.65/7.11 tff(42185,plain,
% 9.65/7.11 (~until5(s286)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42184, 42183])).
% 9.65/7.11 tff(42186,plain,
% 9.65/7.11 (~xuntil6(s285)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12081, 42185])).
% 9.65/7.11 tff(42187,plain,
% 9.65/7.11 (node4(s285) | (~until5(s285))),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12075, 36, 42186])).
% 9.65/7.11 tff(42188,plain,
% 9.65/7.11 (~until5(s285)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42187, 42164])).
% 9.65/7.11 tff(42189,plain,
% 9.65/7.11 (~xuntil6(s284)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12064, 42188])).
% 9.65/7.11 tff(42190,assumption,(~always3(s284)), introduced(assumption)).
% 9.65/7.11 tff(42191,plain,
% 9.65/7.11 (~always3(s283)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[5517, 42190])).
% 9.65/7.11 tff(42192,plain,
% 9.65/7.11 (~node4(s283)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12034, 22, 42191])).
% 9.65/7.11 tff(42193,plain,
% 9.65/7.11 (~node4(s284)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12051, 22, 42190])).
% 9.65/7.11 tff(42194,assumption,(~xuntil6(s284)), introduced(assumption)).
% 9.65/7.11 tff(42195,plain,
% 9.65/7.11 (node4(s284) | (~until5(s284))),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12058, 36, 42194])).
% 9.65/7.11 tff(42196,plain,
% 9.65/7.11 (~until5(s284)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42195, 42193])).
% 9.65/7.11 tff(42197,plain,
% 9.65/7.11 (~xuntil6(s283)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12047, 42196])).
% 9.65/7.11 tff(42198,plain,
% 9.65/7.11 (~until5(s283)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12041, 36, 42197, 42192])).
% 9.65/7.11 tff(42199,plain,
% 9.65/7.11 (~xuntil6(s282)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12030, 42198])).
% 9.65/7.11 tff(42200,plain,
% 9.65/7.11 (~always3(s282)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[5529, 42191])).
% 9.65/7.11 tff(42201,plain,
% 9.65/7.11 (~node4(s282)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12017, 22, 42200])).
% 9.65/7.11 tff(42202,plain,
% 9.65/7.11 (xuntil6(s282) | (~until5(s282))),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12024, 36, 42201])).
% 9.65/7.11 tff(42203,plain,
% 9.65/7.11 (~until5(s282)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42202, 42199])).
% 9.65/7.11 tff(42204,plain,
% 9.65/7.11 (~xuntil6(s281)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12013, 42203])).
% 9.65/7.11 tff(42205,plain,
% 9.65/7.11 (~always3(s281)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[5541, 42200])).
% 9.65/7.11 tff(42206,plain,
% 9.65/7.11 (~node4(s281)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12000, 22, 42205])).
% 9.65/7.11 tff(42207,plain,
% 9.65/7.11 (xuntil6(s281) | (~until5(s281))),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12007, 36, 42206])).
% 9.65/7.11 tff(42208,plain,
% 9.65/7.11 (~until5(s281)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42207, 42204])).
% 9.65/7.11 tff(42209,plain,
% 9.65/7.11 (~always3(s280)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[5553, 42205])).
% 9.65/7.11 tff(42210,plain,
% 9.65/7.11 (~always3(s279)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[5565, 42209])).
% 9.65/7.11 tff(42211,plain,
% 9.65/7.11 (~always3(s278)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[5577, 42210])).
% 9.65/7.11 tff(42212,plain,
% 9.65/7.11 (~node4(s278)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[11949, 22, 42211])).
% 9.65/7.11 tff(42213,plain,
% 9.65/7.11 (~always3(s277)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[5589, 42211])).
% 9.65/7.11 tff(42214,plain,
% 9.65/7.11 (~node4(s277)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[11932, 22, 42213])).
% 9.65/7.11 tff(42215,plain,
% 9.65/7.11 (xuntil6(s277)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[41984, 42214])).
% 9.65/7.11 tff(42216,plain,
% 9.65/7.11 (until5(s278)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[11945, 42215])).
% 9.65/7.11 tff(42217,plain,
% 9.65/7.11 (xuntil6(s278)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[11956, 36, 42216, 42212])).
% 9.65/7.11 tff(42218,plain,
% 9.65/7.11 (until5(s279)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[11962, 42217])).
% 9.65/7.11 tff(42219,plain,
% 9.65/7.11 (~node4(s279)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[11966, 22, 42210])).
% 9.65/7.11 tff(42220,plain,
% 9.65/7.11 (xuntil6(s279) | (~until5(s279))),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[11973, 36, 42219])).
% 9.65/7.11 tff(42221,plain,
% 9.65/7.11 (xuntil6(s279)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42220, 42218])).
% 9.65/7.11 tff(42222,plain,
% 9.65/7.11 (until5(s280)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[11979, 42221])).
% 9.65/7.11 tff(42223,plain,
% 9.65/7.11 (~node4(s280)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[11983, 22, 42209])).
% 9.65/7.11 tff(42224,plain,
% 9.65/7.11 (xuntil6(s280) | (~until5(s280))),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[11990, 36, 42223])).
% 9.65/7.11 tff(42225,plain,
% 9.65/7.11 (xuntil6(s280)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42224, 42222])).
% 9.65/7.11 tff(42226,plain,
% 9.65/7.11 ($false),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[11996, 42225, 42208])).
% 9.65/7.11 tff(42227,plain,(always3(s284) | (~until5(s277)) | xuntil6(s284)), inference(lemma,lemma(discharge,[]))).
% 9.65/7.11 tff(42228,plain,
% 9.65/7.11 (always3(s284)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42227, 41968, 42189])).
% 9.65/7.11 tff(42229,plain,
% 9.65/7.11 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s284)) | (~m_main_v_state(s284, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s284)) | (~m_main_v_state(s284, c_busy)))),
% 9.65/7.11 inference(rewrite,[status(thm)],[])).
% 9.65/7.11 tff(42230,plain,
% 9.65/7.11 (((~m_main_v_state(s284, c_busy)) | (~always3(s284))) <=> ((~always3(s284)) | (~m_main_v_state(s284, c_busy)))),
% 9.65/7.11 inference(rewrite,[status(thm)],[])).
% 9.65/7.11 tff(42231,plain,
% 9.65/7.11 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s284, c_busy)) | (~always3(s284)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s284)) | (~m_main_v_state(s284, c_busy))))),
% 9.65/7.11 inference(monotonicity,[status(thm)],[42230])).
% 9.65/7.11 tff(42232,plain,
% 9.65/7.11 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s284, c_busy)) | (~always3(s284)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s284)) | (~m_main_v_state(s284, c_busy)))),
% 9.65/7.11 inference(transitivity,[status(thm)],[42231, 42229])).
% 9.65/7.11 tff(42233,plain,
% 9.65/7.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s284, c_busy)) | (~always3(s284)))),
% 9.65/7.11 inference(quant_inst,[status(thm)],[])).
% 9.65/7.11 tff(42234,plain,
% 9.65/7.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s284)) | (~m_main_v_state(s284, c_busy))),
% 9.65/7.11 inference(modus_ponens,[status(thm)],[42233, 42232])).
% 9.65/7.11 tff(42235,plain,
% 9.65/7.11 (~m_main_v_state(s284, c_busy)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42234, 170, 42228])).
% 9.65/7.11 tff(42236,assumption,(~m_main_v_state(s284, c_busy)), introduced(assumption)).
% 9.65/7.11 tff(42237,assumption,(node4(s283)), introduced(assumption)).
% 9.65/7.11 tff(42238,plain,
% 9.65/7.11 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s283) | (~node4(s283)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s283) | (~node4(s283)))),
% 9.65/7.11 inference(rewrite,[status(thm)],[])).
% 9.65/7.11 tff(42239,plain,
% 9.65/7.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s283) | (~node4(s283)))),
% 9.65/7.11 inference(quant_inst,[status(thm)],[])).
% 9.65/7.11 tff(42240,plain,
% 9.65/7.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s283) | (~node4(s283))),
% 9.65/7.11 inference(modus_ponens,[status(thm)],[42239, 42238])).
% 9.65/7.11 tff(42241,plain,
% 9.65/7.11 (m_main_v_request(s283)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42240, 154, 42237])).
% 9.65/7.11 tff(42242,plain,
% 9.65/7.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s283, s284)) | node2(s283, s284))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s283, s284)) | node2(s283, s284))),
% 9.65/7.11 inference(rewrite,[status(thm)],[])).
% 9.65/7.11 tff(42243,plain,
% 9.65/7.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s283, s284)) | node2(s283, s284))),
% 9.65/7.11 inference(quant_inst,[status(thm)],[])).
% 9.65/7.11 tff(42244,plain,
% 9.65/7.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s283, s284)) | node2(s283, s284)),
% 9.65/7.11 inference(modus_ponens,[status(thm)],[42243, 42242])).
% 9.65/7.11 tff(42245,plain,
% 9.65/7.11 (node2(s283, s284)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42244, 7, 5513])).
% 9.65/7.11 tff(42246,plain,
% 9.65/7.11 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s283, c_ready)) | (~node2(s283, s284)) | m_main_v_state(s284, c_busy) | (~m_main_v_request(s283)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s283, c_ready)) | (~node2(s283, s284)) | m_main_v_state(s284, c_busy) | (~m_main_v_request(s283)))),
% 9.65/7.11 inference(rewrite,[status(thm)],[])).
% 9.65/7.11 tff(42247,plain,
% 9.65/7.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s283, c_ready)) | (~node2(s283, s284)) | m_main_v_state(s284, c_busy) | (~m_main_v_request(s283)))),
% 9.65/7.11 inference(quant_inst,[status(thm)],[])).
% 9.65/7.11 tff(42248,plain,
% 9.65/7.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s283, c_ready)) | (~node2(s283, s284)) | m_main_v_state(s284, c_busy) | (~m_main_v_request(s283))),
% 9.65/7.11 inference(modus_ponens,[status(thm)],[42247, 42246])).
% 9.65/7.11 tff(42249,plain,
% 9.65/7.11 ((~m_main_v_state(s283, c_ready)) | m_main_v_state(s284, c_busy) | (~m_main_v_request(s283))),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42248, 191, 42245])).
% 9.65/7.11 tff(42250,plain,
% 9.65/7.11 (~m_main_v_state(s283, c_ready)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42249, 42241, 42236])).
% 9.65/7.11 tff(42251,plain,
% 9.65/7.11 (always3(s283)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12034, 22, 42237])).
% 9.65/7.11 tff(42252,plain,
% 9.65/7.11 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s283)) | (~m_main_v_state(s283, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s283)) | (~m_main_v_state(s283, c_busy)))),
% 9.65/7.11 inference(rewrite,[status(thm)],[])).
% 9.65/7.11 tff(42253,plain,
% 9.65/7.11 (((~m_main_v_state(s283, c_busy)) | (~always3(s283))) <=> ((~always3(s283)) | (~m_main_v_state(s283, c_busy)))),
% 9.65/7.11 inference(rewrite,[status(thm)],[])).
% 9.65/7.11 tff(42254,plain,
% 9.65/7.11 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s283, c_busy)) | (~always3(s283)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s283)) | (~m_main_v_state(s283, c_busy))))),
% 9.65/7.11 inference(monotonicity,[status(thm)],[42253])).
% 9.65/7.11 tff(42255,plain,
% 9.65/7.11 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s283, c_busy)) | (~always3(s283)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s283)) | (~m_main_v_state(s283, c_busy)))),
% 9.65/7.11 inference(transitivity,[status(thm)],[42254, 42252])).
% 9.65/7.11 tff(42256,plain,
% 9.65/7.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s283, c_busy)) | (~always3(s283)))),
% 9.65/7.11 inference(quant_inst,[status(thm)],[])).
% 9.65/7.11 tff(42257,plain,
% 9.65/7.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s283)) | (~m_main_v_state(s283, c_busy))),
% 9.65/7.11 inference(modus_ponens,[status(thm)],[42256, 42255])).
% 9.65/7.11 tff(42258,plain,
% 9.65/7.11 (~m_main_v_state(s283, c_busy)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42257, 170, 42251])).
% 9.65/7.11 tff(42259,plain,
% 9.65/7.11 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s283, c_busy) | m_main_v_state(s283, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s283, c_busy) | m_main_v_state(s283, c_ready))),
% 9.65/7.11 inference(rewrite,[status(thm)],[])).
% 9.65/7.11 tff(42260,plain,
% 9.65/7.11 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s283, c_busy) | m_main_v_state(s283, c_ready))),
% 9.65/7.11 inference(quant_inst,[status(thm)],[])).
% 9.65/7.11 tff(42261,plain,
% 9.65/7.11 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s283, c_busy) | m_main_v_state(s283, c_ready)),
% 9.65/7.11 inference(modus_ponens,[status(thm)],[42260, 42259])).
% 9.65/7.11 tff(42262,plain,
% 9.65/7.11 ($false),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42261, 213, 42258, 42250])).
% 9.65/7.11 tff(42263,plain,((~node4(s283)) | m_main_v_state(s284, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.65/7.11 tff(42264,plain,
% 9.65/7.11 (~node4(s283)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42263, 42235])).
% 9.65/7.11 tff(42265,plain,
% 9.65/7.11 (always3(s285)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[5505, 42228])).
% 9.65/7.11 tff(42266,plain,
% 9.65/7.11 (~m_main_v_state(s285, c_busy)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42157, 170, 42265])).
% 9.65/7.11 tff(42267,plain,
% 9.65/7.11 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s284, c_busy) | m_main_v_state(s284, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s284, c_busy) | m_main_v_state(s284, c_ready))),
% 9.65/7.11 inference(rewrite,[status(thm)],[])).
% 9.65/7.11 tff(42268,plain,
% 9.65/7.11 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s284, c_busy) | m_main_v_state(s284, c_ready))),
% 9.65/7.11 inference(quant_inst,[status(thm)],[])).
% 9.65/7.11 tff(42269,plain,
% 9.65/7.11 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s284, c_busy) | m_main_v_state(s284, c_ready)),
% 9.65/7.11 inference(modus_ponens,[status(thm)],[42268, 42267])).
% 9.65/7.11 tff(42270,plain,
% 9.65/7.11 (m_main_v_state(s284, c_ready)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42269, 213, 42235])).
% 9.65/7.11 tff(42271,plain,
% 9.65/7.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s284, s285)) | node2(s284, s285))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s284, s285)) | node2(s284, s285))),
% 9.65/7.11 inference(rewrite,[status(thm)],[])).
% 9.65/7.11 tff(42272,plain,
% 9.65/7.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s284, s285)) | node2(s284, s285))),
% 9.65/7.11 inference(quant_inst,[status(thm)],[])).
% 9.65/7.11 tff(42273,plain,
% 9.65/7.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s284, s285)) | node2(s284, s285)),
% 9.65/7.11 inference(modus_ponens,[status(thm)],[42272, 42271])).
% 9.65/7.11 tff(42274,plain,
% 9.65/7.11 (node2(s284, s285)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42273, 7, 5501])).
% 9.65/7.11 tff(42275,plain,
% 9.65/7.11 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s284, c_ready)) | (~node2(s284, s285)) | m_main_v_state(s285, c_busy) | (~m_main_v_request(s284)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s284, c_ready)) | (~node2(s284, s285)) | m_main_v_state(s285, c_busy) | (~m_main_v_request(s284)))),
% 9.65/7.11 inference(rewrite,[status(thm)],[])).
% 9.65/7.11 tff(42276,plain,
% 9.65/7.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s284, c_ready)) | (~node2(s284, s285)) | m_main_v_state(s285, c_busy) | (~m_main_v_request(s284)))),
% 9.65/7.11 inference(quant_inst,[status(thm)],[])).
% 9.65/7.11 tff(42277,plain,
% 9.65/7.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s284, c_ready)) | (~node2(s284, s285)) | m_main_v_state(s285, c_busy) | (~m_main_v_request(s284))),
% 9.65/7.11 inference(modus_ponens,[status(thm)],[42276, 42275])).
% 9.65/7.11 tff(42278,plain,
% 9.65/7.11 ((~m_main_v_state(s284, c_ready)) | m_main_v_state(s285, c_busy) | (~m_main_v_request(s284))),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42277, 191, 42274])).
% 9.65/7.11 tff(42279,plain,
% 9.65/7.11 (~m_main_v_request(s284)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42278, 42270, 42266])).
% 9.65/7.11 tff(42280,plain,
% 9.65/7.11 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s284) | (~node4(s284)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s284) | (~node4(s284)))),
% 9.65/7.11 inference(rewrite,[status(thm)],[])).
% 9.65/7.11 tff(42281,plain,
% 9.65/7.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s284) | (~node4(s284)))),
% 9.65/7.11 inference(quant_inst,[status(thm)],[])).
% 9.65/7.11 tff(42282,plain,
% 9.65/7.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s284) | (~node4(s284))),
% 9.65/7.11 inference(modus_ponens,[status(thm)],[42281, 42280])).
% 9.65/7.11 tff(42283,plain,
% 9.65/7.11 (~node4(s284)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42282, 154, 42279])).
% 9.65/7.11 tff(42284,plain,
% 9.65/7.11 (node4(s284) | (~until5(s284))),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12058, 36, 42189])).
% 9.65/7.11 tff(42285,plain,
% 9.65/7.11 (~until5(s284)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42284, 42283])).
% 9.65/7.11 tff(42286,plain,
% 9.65/7.11 (~xuntil6(s283)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12047, 42285])).
% 9.65/7.11 tff(42287,plain,
% 9.65/7.11 (node4(s283) | (~until5(s283))),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12041, 36, 42286])).
% 9.65/7.11 tff(42288,plain,
% 9.65/7.11 (~until5(s283)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42287, 42264])).
% 9.65/7.11 tff(42289,plain,
% 9.65/7.11 (~xuntil6(s282)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12030, 42288])).
% 9.65/7.11 tff(42290,assumption,(~always3(s282)), introduced(assumption)).
% 9.65/7.11 tff(42291,plain,
% 9.65/7.11 (~always3(s281)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[5541, 42290])).
% 9.65/7.11 tff(42292,plain,
% 9.65/7.11 (~node4(s281)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12000, 22, 42291])).
% 9.65/7.11 tff(42293,plain,
% 9.65/7.11 (~node4(s282)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12017, 22, 42290])).
% 9.65/7.11 tff(42294,assumption,(~xuntil6(s282)), introduced(assumption)).
% 9.65/7.11 tff(42295,plain,
% 9.65/7.11 (node4(s282) | (~until5(s282))),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12024, 36, 42294])).
% 9.65/7.11 tff(42296,plain,
% 9.65/7.11 (~until5(s282)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42295, 42293])).
% 9.65/7.11 tff(42297,plain,
% 9.65/7.11 (~xuntil6(s281)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12013, 42296])).
% 9.65/7.11 tff(42298,plain,
% 9.65/7.11 (~until5(s281)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[12007, 36, 42297, 42292])).
% 9.65/7.11 tff(42299,plain,
% 9.65/7.11 (~xuntil6(s280)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[11996, 42298])).
% 9.65/7.11 tff(42300,plain,
% 9.65/7.11 (~always3(s280)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[5553, 42291])).
% 9.65/7.11 tff(42301,plain,
% 9.65/7.11 (~node4(s280)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[11983, 22, 42300])).
% 9.65/7.11 tff(42302,plain,
% 9.65/7.11 (xuntil6(s280) | (~until5(s280))),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[11990, 36, 42301])).
% 9.65/7.11 tff(42303,plain,
% 9.65/7.11 (~until5(s280)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[42302, 42299])).
% 9.65/7.11 tff(42304,plain,
% 9.65/7.11 (~always3(s279)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[5565, 42300])).
% 9.65/7.11 tff(42305,plain,
% 9.65/7.11 (~always3(s278)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[5577, 42304])).
% 9.65/7.11 tff(42306,plain,
% 9.65/7.11 (~node4(s278)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[11949, 22, 42305])).
% 9.65/7.11 tff(42307,plain,
% 9.65/7.11 (~always3(s277)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[5589, 42305])).
% 9.65/7.11 tff(42308,plain,
% 9.65/7.11 (~node4(s277)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[11932, 22, 42307])).
% 9.65/7.11 tff(42309,plain,
% 9.65/7.11 (xuntil6(s277)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[41984, 42308])).
% 9.65/7.11 tff(42310,plain,
% 9.65/7.11 (until5(s278)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[11945, 42309])).
% 9.65/7.11 tff(42311,plain,
% 9.65/7.11 (xuntil6(s278)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[11956, 36, 42310, 42306])).
% 9.65/7.11 tff(42312,plain,
% 9.65/7.11 (until5(s279)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[11962, 42311])).
% 9.65/7.11 tff(42313,plain,
% 9.65/7.11 (~node4(s279)),
% 9.65/7.11 inference(unit_resolution,[status(thm)],[11966, 22, 42304])).
% 9.65/7.11 tff(42314,plain,
% 9.65/7.11 (xuntil6(s279) | (~until5(s279))),
% 9.67/7.11 inference(unit_resolution,[status(thm)],[11973, 36, 42313])).
% 9.67/7.11 tff(42315,plain,
% 9.67/7.11 (xuntil6(s279)),
% 9.67/7.11 inference(unit_resolution,[status(thm)],[42314, 42312])).
% 9.67/7.11 tff(42316,plain,
% 9.67/7.11 ($false),
% 9.67/7.11 inference(unit_resolution,[status(thm)],[11979, 42315, 42303])).
% 9.67/7.11 tff(42317,plain,(always3(s282) | (~until5(s277)) | xuntil6(s282)), inference(lemma,lemma(discharge,[]))).
% 9.67/7.11 tff(42318,plain,
% 9.67/7.11 (always3(s282)),
% 9.67/7.11 inference(unit_resolution,[status(thm)],[42317, 41968, 42289])).
% 9.67/7.11 tff(42319,plain,
% 9.67/7.11 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s282)) | (~m_main_v_state(s282, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s282)) | (~m_main_v_state(s282, c_busy)))),
% 9.67/7.11 inference(rewrite,[status(thm)],[])).
% 9.67/7.11 tff(42320,plain,
% 9.67/7.11 (((~m_main_v_state(s282, c_busy)) | (~always3(s282))) <=> ((~always3(s282)) | (~m_main_v_state(s282, c_busy)))),
% 9.67/7.11 inference(rewrite,[status(thm)],[])).
% 9.67/7.11 tff(42321,plain,
% 9.67/7.11 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s282, c_busy)) | (~always3(s282)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s282)) | (~m_main_v_state(s282, c_busy))))),
% 9.67/7.11 inference(monotonicity,[status(thm)],[42320])).
% 9.67/7.11 tff(42322,plain,
% 9.67/7.11 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s282, c_busy)) | (~always3(s282)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s282)) | (~m_main_v_state(s282, c_busy)))),
% 9.67/7.11 inference(transitivity,[status(thm)],[42321, 42319])).
% 9.67/7.11 tff(42323,plain,
% 9.67/7.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s282, c_busy)) | (~always3(s282)))),
% 9.67/7.11 inference(quant_inst,[status(thm)],[])).
% 9.67/7.11 tff(42324,plain,
% 9.67/7.11 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s282)) | (~m_main_v_state(s282, c_busy))),
% 9.67/7.11 inference(modus_ponens,[status(thm)],[42323, 42322])).
% 9.67/7.11 tff(42325,plain,
% 9.67/7.11 (~m_main_v_state(s282, c_busy)),
% 9.67/7.11 inference(unit_resolution,[status(thm)],[42324, 170, 42318])).
% 9.67/7.11 tff(42326,assumption,(~m_main_v_state(s282, c_busy)), introduced(assumption)).
% 9.67/7.11 tff(42327,assumption,(node4(s281)), introduced(assumption)).
% 9.67/7.11 tff(42328,plain,
% 9.67/7.11 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s281) | (~node4(s281)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s281) | (~node4(s281)))),
% 9.67/7.11 inference(rewrite,[status(thm)],[])).
% 9.67/7.11 tff(42329,plain,
% 9.67/7.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s281) | (~node4(s281)))),
% 9.67/7.11 inference(quant_inst,[status(thm)],[])).
% 9.67/7.11 tff(42330,plain,
% 9.67/7.11 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s281) | (~node4(s281))),
% 9.67/7.11 inference(modus_ponens,[status(thm)],[42329, 42328])).
% 9.67/7.11 tff(42331,plain,
% 9.67/7.11 (m_main_v_request(s281)),
% 9.67/7.11 inference(unit_resolution,[status(thm)],[42330, 154, 42327])).
% 9.67/7.11 tff(42332,plain,
% 9.67/7.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s281, s282)) | node2(s281, s282))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s281, s282)) | node2(s281, s282))),
% 9.67/7.11 inference(rewrite,[status(thm)],[])).
% 9.67/7.11 tff(42333,plain,
% 9.67/7.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s281, s282)) | node2(s281, s282))),
% 9.67/7.11 inference(quant_inst,[status(thm)],[])).
% 9.67/7.11 tff(42334,plain,
% 9.67/7.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s281, s282)) | node2(s281, s282)),
% 9.67/7.11 inference(modus_ponens,[status(thm)],[42333, 42332])).
% 9.67/7.11 tff(42335,plain,
% 9.67/7.11 (node2(s281, s282)),
% 9.67/7.11 inference(unit_resolution,[status(thm)],[42334, 7, 5537])).
% 9.67/7.11 tff(42336,plain,
% 9.67/7.11 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s281, c_ready)) | (~node2(s281, s282)) | m_main_v_state(s282, c_busy) | (~m_main_v_request(s281)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s281, c_ready)) | (~node2(s281, s282)) | m_main_v_state(s282, c_busy) | (~m_main_v_request(s281)))),
% 9.67/7.11 inference(rewrite,[status(thm)],[])).
% 9.67/7.11 tff(42337,plain,
% 9.67/7.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s281, c_ready)) | (~node2(s281, s282)) | m_main_v_state(s282, c_busy) | (~m_main_v_request(s281)))),
% 9.67/7.11 inference(quant_inst,[status(thm)],[])).
% 9.67/7.11 tff(42338,plain,
% 9.67/7.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s281, c_ready)) | (~node2(s281, s282)) | m_main_v_state(s282, c_busy) | (~m_main_v_request(s281))),
% 9.67/7.11 inference(modus_ponens,[status(thm)],[42337, 42336])).
% 9.67/7.11 tff(42339,plain,
% 9.67/7.11 ((~m_main_v_state(s281, c_ready)) | m_main_v_state(s282, c_busy) | (~m_main_v_request(s281))),
% 9.67/7.11 inference(unit_resolution,[status(thm)],[42338, 191, 42335])).
% 9.67/7.11 tff(42340,plain,
% 9.67/7.11 (~m_main_v_state(s281, c_ready)),
% 9.67/7.11 inference(unit_resolution,[status(thm)],[42339, 42331, 42326])).
% 9.67/7.11 tff(42341,plain,
% 9.67/7.11 (always3(s281)),
% 9.67/7.11 inference(unit_resolution,[status(thm)],[12000, 22, 42327])).
% 9.67/7.11 tff(42342,plain,
% 9.67/7.11 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s281)) | (~m_main_v_state(s281, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s281)) | (~m_main_v_state(s281, c_busy)))),
% 9.67/7.11 inference(rewrite,[status(thm)],[])).
% 9.67/7.11 tff(42343,plain,
% 9.67/7.11 (((~m_main_v_state(s281, c_busy)) | (~always3(s281))) <=> ((~always3(s281)) | (~m_main_v_state(s281, c_busy)))),
% 9.67/7.11 inference(rewrite,[status(thm)],[])).
% 9.67/7.11 tff(42344,plain,
% 9.67/7.11 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s281, c_busy)) | (~always3(s281)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s281)) | (~m_main_v_state(s281, c_busy))))),
% 9.67/7.11 inference(monotonicity,[status(thm)],[42343])).
% 9.67/7.11 tff(42345,plain,
% 9.67/7.11 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s281, c_busy)) | (~always3(s281)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s281)) | (~m_main_v_state(s281, c_busy)))),
% 9.67/7.12 inference(transitivity,[status(thm)],[42344, 42342])).
% 9.67/7.12 tff(42346,plain,
% 9.67/7.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s281, c_busy)) | (~always3(s281)))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42347,plain,
% 9.67/7.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s281)) | (~m_main_v_state(s281, c_busy))),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42346, 42345])).
% 9.67/7.12 tff(42348,plain,
% 9.67/7.12 (~m_main_v_state(s281, c_busy)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42347, 170, 42341])).
% 9.67/7.12 tff(42349,plain,
% 9.67/7.12 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s281, c_busy) | m_main_v_state(s281, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s281, c_busy) | m_main_v_state(s281, c_ready))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42350,plain,
% 9.67/7.12 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s281, c_busy) | m_main_v_state(s281, c_ready))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42351,plain,
% 9.67/7.12 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s281, c_busy) | m_main_v_state(s281, c_ready)),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42350, 42349])).
% 9.67/7.12 tff(42352,plain,
% 9.67/7.12 ($false),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42351, 213, 42348, 42340])).
% 9.67/7.12 tff(42353,plain,((~node4(s281)) | m_main_v_state(s282, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.67/7.12 tff(42354,plain,
% 9.67/7.12 (~node4(s281)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42353, 42325])).
% 9.67/7.12 tff(42355,plain,
% 9.67/7.12 (always3(s283)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[5529, 42318])).
% 9.67/7.12 tff(42356,plain,
% 9.67/7.12 (~m_main_v_state(s283, c_busy)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42257, 170, 42355])).
% 9.67/7.12 tff(42357,plain,
% 9.67/7.12 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s282, c_busy) | m_main_v_state(s282, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s282, c_busy) | m_main_v_state(s282, c_ready))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42358,plain,
% 9.67/7.12 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s282, c_busy) | m_main_v_state(s282, c_ready))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42359,plain,
% 9.67/7.12 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s282, c_busy) | m_main_v_state(s282, c_ready)),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42358, 42357])).
% 9.67/7.12 tff(42360,plain,
% 9.67/7.12 (m_main_v_state(s282, c_ready)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42359, 213, 42325])).
% 9.67/7.12 tff(42361,plain,
% 9.67/7.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s282, s283)) | node2(s282, s283))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s282, s283)) | node2(s282, s283))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42362,plain,
% 9.67/7.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s282, s283)) | node2(s282, s283))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42363,plain,
% 9.67/7.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s282, s283)) | node2(s282, s283)),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42362, 42361])).
% 9.67/7.12 tff(42364,plain,
% 9.67/7.12 (node2(s282, s283)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42363, 7, 5525])).
% 9.67/7.12 tff(42365,plain,
% 9.67/7.12 (((~![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)))) | ((~m_main_v_state(s282, c_ready)) | (~node2(s282, s283)) | m_main_v_state(s283, c_busy) | (~m_main_v_request(s282)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s282, c_ready)) | (~node2(s282, s283)) | m_main_v_state(s283, c_busy) | (~m_main_v_request(s282)))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42366,plain,
% 9.67/7.12 ((~![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)))) | ((~m_main_v_state(s282, c_ready)) | (~node2(s282, s283)) | m_main_v_state(s283, c_busy) | (~m_main_v_request(s282)))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42367,plain,
% 9.67/7.12 ((~![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)))) | (~m_main_v_state(s282, c_ready)) | (~node2(s282, s283)) | m_main_v_state(s283, c_busy) | (~m_main_v_request(s282))),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42366, 42365])).
% 9.67/7.12 tff(42368,plain,
% 9.67/7.12 ((~m_main_v_state(s282, c_ready)) | m_main_v_state(s283, c_busy) | (~m_main_v_request(s282))),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42367, 191, 42364])).
% 9.67/7.12 tff(42369,plain,
% 9.67/7.12 (~m_main_v_request(s282)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42368, 42360, 42356])).
% 9.67/7.12 tff(42370,plain,
% 9.67/7.12 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s282) | (~node4(s282)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s282) | (~node4(s282)))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42371,plain,
% 9.67/7.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s282) | (~node4(s282)))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42372,plain,
% 9.67/7.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s282) | (~node4(s282))),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42371, 42370])).
% 9.67/7.12 tff(42373,plain,
% 9.67/7.12 (~node4(s282)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42372, 154, 42369])).
% 9.67/7.12 tff(42374,plain,
% 9.67/7.12 (node4(s282) | (~until5(s282))),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[12024, 36, 42289])).
% 9.67/7.12 tff(42375,plain,
% 9.67/7.12 (~until5(s282)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42374, 42373])).
% 9.67/7.12 tff(42376,plain,
% 9.67/7.12 (~xuntil6(s281)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[12013, 42375])).
% 9.67/7.12 tff(42377,plain,
% 9.67/7.12 (node4(s281) | (~until5(s281))),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[12007, 36, 42376])).
% 9.67/7.12 tff(42378,plain,
% 9.67/7.12 (~until5(s281)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42377, 42354])).
% 9.67/7.12 tff(42379,plain,
% 9.67/7.12 (~xuntil6(s280)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[11996, 42378])).
% 9.67/7.12 tff(42380,assumption,(~always3(s280)), introduced(assumption)).
% 9.67/7.12 tff(42381,plain,
% 9.67/7.12 (~always3(s279)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[5565, 42380])).
% 9.67/7.12 tff(42382,plain,
% 9.67/7.12 (~node4(s279)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[11966, 22, 42381])).
% 9.67/7.12 tff(42383,plain,
% 9.67/7.12 (~node4(s280)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[11983, 22, 42380])).
% 9.67/7.12 tff(42384,assumption,(~xuntil6(s280)), introduced(assumption)).
% 9.67/7.12 tff(42385,plain,
% 9.67/7.12 (node4(s280) | (~until5(s280))),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[11990, 36, 42384])).
% 9.67/7.12 tff(42386,plain,
% 9.67/7.12 (~until5(s280)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42385, 42383])).
% 9.67/7.12 tff(42387,plain,
% 9.67/7.12 (~xuntil6(s279)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[11979, 42386])).
% 9.67/7.12 tff(42388,plain,
% 9.67/7.12 (~until5(s279)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[11973, 36, 42387, 42382])).
% 9.67/7.12 tff(42389,plain,
% 9.67/7.12 (~always3(s278)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[5577, 42381])).
% 9.67/7.12 tff(42390,plain,
% 9.67/7.12 (~node4(s278)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[11949, 22, 42389])).
% 9.67/7.12 tff(42391,plain,
% 9.67/7.12 (~always3(s277)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[5589, 42389])).
% 9.67/7.12 tff(42392,plain,
% 9.67/7.12 (~node4(s277)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[11932, 22, 42391])).
% 9.67/7.12 tff(42393,plain,
% 9.67/7.12 (xuntil6(s277)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[41984, 42392])).
% 9.67/7.12 tff(42394,plain,
% 9.67/7.12 (until5(s278)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[11945, 42393])).
% 9.67/7.12 tff(42395,plain,
% 9.67/7.12 (xuntil6(s278)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[11956, 36, 42394, 42390])).
% 9.67/7.12 tff(42396,plain,
% 9.67/7.12 ($false),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[11962, 42395, 42388])).
% 9.67/7.12 tff(42397,plain,(always3(s280) | (~until5(s277)) | xuntil6(s280)), inference(lemma,lemma(discharge,[]))).
% 9.67/7.12 tff(42398,plain,
% 9.67/7.12 (always3(s280)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42397, 41968, 42379])).
% 9.67/7.12 tff(42399,plain,
% 9.67/7.12 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s280)) | (~m_main_v_state(s280, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s280)) | (~m_main_v_state(s280, c_busy)))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42400,plain,
% 9.67/7.12 (((~m_main_v_state(s280, c_busy)) | (~always3(s280))) <=> ((~always3(s280)) | (~m_main_v_state(s280, c_busy)))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42401,plain,
% 9.67/7.12 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s280, c_busy)) | (~always3(s280)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s280)) | (~m_main_v_state(s280, c_busy))))),
% 9.67/7.12 inference(monotonicity,[status(thm)],[42400])).
% 9.67/7.12 tff(42402,plain,
% 9.67/7.12 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s280, c_busy)) | (~always3(s280)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s280)) | (~m_main_v_state(s280, c_busy)))),
% 9.67/7.12 inference(transitivity,[status(thm)],[42401, 42399])).
% 9.67/7.12 tff(42403,plain,
% 9.67/7.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s280, c_busy)) | (~always3(s280)))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42404,plain,
% 9.67/7.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s280)) | (~m_main_v_state(s280, c_busy))),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42403, 42402])).
% 9.67/7.12 tff(42405,plain,
% 9.67/7.12 (~m_main_v_state(s280, c_busy)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42404, 170, 42398])).
% 9.67/7.12 tff(42406,assumption,(~m_main_v_state(s280, c_busy)), introduced(assumption)).
% 9.67/7.12 tff(42407,assumption,(node4(s279)), introduced(assumption)).
% 9.67/7.12 tff(42408,plain,
% 9.67/7.12 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s279) | (~node4(s279)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s279) | (~node4(s279)))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42409,plain,
% 9.67/7.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s279) | (~node4(s279)))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42410,plain,
% 9.67/7.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s279) | (~node4(s279))),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42409, 42408])).
% 9.67/7.12 tff(42411,plain,
% 9.67/7.12 (m_main_v_request(s279)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42410, 154, 42407])).
% 9.67/7.12 tff(42412,plain,
% 9.67/7.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s279, s280)) | node2(s279, s280))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s279, s280)) | node2(s279, s280))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42413,plain,
% 9.67/7.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s279, s280)) | node2(s279, s280))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42414,plain,
% 9.67/7.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s279, s280)) | node2(s279, s280)),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42413, 42412])).
% 9.67/7.12 tff(42415,plain,
% 9.67/7.12 (node2(s279, s280)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42414, 7, 5561])).
% 9.67/7.12 tff(42416,plain,
% 9.67/7.12 (((~![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)))) | ((~m_main_v_state(s279, c_ready)) | (~node2(s279, s280)) | m_main_v_state(s280, c_busy) | (~m_main_v_request(s279)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s279, c_ready)) | (~node2(s279, s280)) | m_main_v_state(s280, c_busy) | (~m_main_v_request(s279)))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42417,plain,
% 9.67/7.12 ((~![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)))) | ((~m_main_v_state(s279, c_ready)) | (~node2(s279, s280)) | m_main_v_state(s280, c_busy) | (~m_main_v_request(s279)))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42418,plain,
% 9.67/7.12 ((~![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)))) | (~m_main_v_state(s279, c_ready)) | (~node2(s279, s280)) | m_main_v_state(s280, c_busy) | (~m_main_v_request(s279))),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42417, 42416])).
% 9.67/7.12 tff(42419,plain,
% 9.67/7.12 ((~m_main_v_state(s279, c_ready)) | m_main_v_state(s280, c_busy) | (~m_main_v_request(s279))),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42418, 191, 42415])).
% 9.67/7.12 tff(42420,plain,
% 9.67/7.12 (~m_main_v_state(s279, c_ready)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42419, 42411, 42406])).
% 9.67/7.12 tff(42421,plain,
% 9.67/7.12 (always3(s279)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[11966, 22, 42407])).
% 9.67/7.12 tff(42422,plain,
% 9.67/7.12 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s279)) | (~m_main_v_state(s279, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s279)) | (~m_main_v_state(s279, c_busy)))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42423,plain,
% 9.67/7.12 (((~m_main_v_state(s279, c_busy)) | (~always3(s279))) <=> ((~always3(s279)) | (~m_main_v_state(s279, c_busy)))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42424,plain,
% 9.67/7.12 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s279, c_busy)) | (~always3(s279)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s279)) | (~m_main_v_state(s279, c_busy))))),
% 9.67/7.12 inference(monotonicity,[status(thm)],[42423])).
% 9.67/7.12 tff(42425,plain,
% 9.67/7.12 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s279, c_busy)) | (~always3(s279)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s279)) | (~m_main_v_state(s279, c_busy)))),
% 9.67/7.12 inference(transitivity,[status(thm)],[42424, 42422])).
% 9.67/7.12 tff(42426,plain,
% 9.67/7.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s279, c_busy)) | (~always3(s279)))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42427,plain,
% 9.67/7.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s279)) | (~m_main_v_state(s279, c_busy))),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42426, 42425])).
% 9.67/7.12 tff(42428,plain,
% 9.67/7.12 (~m_main_v_state(s279, c_busy)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42427, 170, 42421])).
% 9.67/7.12 tff(42429,plain,
% 9.67/7.12 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s279, c_busy) | m_main_v_state(s279, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s279, c_busy) | m_main_v_state(s279, c_ready))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42430,plain,
% 9.67/7.12 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s279, c_busy) | m_main_v_state(s279, c_ready))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42431,plain,
% 9.67/7.12 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s279, c_busy) | m_main_v_state(s279, c_ready)),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42430, 42429])).
% 9.67/7.12 tff(42432,plain,
% 9.67/7.12 ($false),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42431, 213, 42428, 42420])).
% 9.67/7.12 tff(42433,plain,((~node4(s279)) | m_main_v_state(s280, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.67/7.12 tff(42434,plain,
% 9.67/7.12 (~node4(s279)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42433, 42405])).
% 9.67/7.12 tff(42435,plain,
% 9.67/7.12 (always3(s281)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[5553, 42398])).
% 9.67/7.12 tff(42436,plain,
% 9.67/7.12 (~m_main_v_state(s281, c_busy)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42347, 170, 42435])).
% 9.67/7.12 tff(42437,plain,
% 9.67/7.12 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s280, c_busy) | m_main_v_state(s280, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s280, c_busy) | m_main_v_state(s280, c_ready))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42438,plain,
% 9.67/7.12 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s280, c_busy) | m_main_v_state(s280, c_ready))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42439,plain,
% 9.67/7.12 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s280, c_busy) | m_main_v_state(s280, c_ready)),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42438, 42437])).
% 9.67/7.12 tff(42440,plain,
% 9.67/7.12 (m_main_v_state(s280, c_ready)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42439, 213, 42405])).
% 9.67/7.12 tff(42441,plain,
% 9.67/7.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s280, s281)) | node2(s280, s281))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s280, s281)) | node2(s280, s281))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42442,plain,
% 9.67/7.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s280, s281)) | node2(s280, s281))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42443,plain,
% 9.67/7.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s280, s281)) | node2(s280, s281)),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42442, 42441])).
% 9.67/7.12 tff(42444,plain,
% 9.67/7.12 (node2(s280, s281)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42443, 7, 5549])).
% 9.67/7.12 tff(42445,plain,
% 9.67/7.12 (((~![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)))) | ((~m_main_v_state(s280, c_ready)) | (~node2(s280, s281)) | m_main_v_state(s281, c_busy) | (~m_main_v_request(s280)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s280, c_ready)) | (~node2(s280, s281)) | m_main_v_state(s281, c_busy) | (~m_main_v_request(s280)))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42446,plain,
% 9.67/7.12 ((~![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)))) | ((~m_main_v_state(s280, c_ready)) | (~node2(s280, s281)) | m_main_v_state(s281, c_busy) | (~m_main_v_request(s280)))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42447,plain,
% 9.67/7.12 ((~![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)))) | (~m_main_v_state(s280, c_ready)) | (~node2(s280, s281)) | m_main_v_state(s281, c_busy) | (~m_main_v_request(s280))),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42446, 42445])).
% 9.67/7.12 tff(42448,plain,
% 9.67/7.12 ((~m_main_v_state(s280, c_ready)) | m_main_v_state(s281, c_busy) | (~m_main_v_request(s280))),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42447, 191, 42444])).
% 9.67/7.12 tff(42449,plain,
% 9.67/7.12 (~m_main_v_request(s280)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42448, 42440, 42436])).
% 9.67/7.12 tff(42450,plain,
% 9.67/7.12 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s280) | (~node4(s280)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s280) | (~node4(s280)))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42451,plain,
% 9.67/7.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s280) | (~node4(s280)))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42452,plain,
% 9.67/7.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s280) | (~node4(s280))),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42451, 42450])).
% 9.67/7.12 tff(42453,plain,
% 9.67/7.12 (~node4(s280)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42452, 154, 42449])).
% 9.67/7.12 tff(42454,plain,
% 9.67/7.12 (node4(s280) | (~until5(s280))),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[11990, 36, 42379])).
% 9.67/7.12 tff(42455,plain,
% 9.67/7.12 (~until5(s280)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42454, 42453])).
% 9.67/7.12 tff(42456,plain,
% 9.67/7.12 (~xuntil6(s279)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[11979, 42455])).
% 9.67/7.12 tff(42457,plain,
% 9.67/7.12 (node4(s279) | (~until5(s279))),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[11973, 36, 42456])).
% 9.67/7.12 tff(42458,plain,
% 9.67/7.12 (~until5(s279)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42457, 42434])).
% 9.67/7.12 tff(42459,plain,
% 9.67/7.12 (~xuntil6(s278)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[11962, 42458])).
% 9.67/7.12 tff(42460,assumption,(~always3(s278)), introduced(assumption)).
% 9.67/7.12 tff(42461,plain,
% 9.67/7.12 (~node4(s278)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[11949, 22, 42460])).
% 9.67/7.12 tff(42462,assumption,(~xuntil6(s278)), introduced(assumption)).
% 9.67/7.12 tff(42463,plain,
% 9.67/7.12 (node4(s278) | (~until5(s278))),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[11956, 36, 42462])).
% 9.67/7.12 tff(42464,plain,
% 9.67/7.12 (~until5(s278)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42463, 42461])).
% 9.67/7.12 tff(42465,plain,
% 9.67/7.12 (~always3(s277)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[5589, 42460])).
% 9.67/7.12 tff(42466,plain,
% 9.67/7.12 (~node4(s277)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[11932, 22, 42465])).
% 9.67/7.12 tff(42467,plain,
% 9.67/7.12 (xuntil6(s277)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[41984, 42466])).
% 9.67/7.12 tff(42468,plain,
% 9.67/7.12 ($false),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[11945, 42467, 42464])).
% 9.67/7.12 tff(42469,plain,(always3(s278) | (~until5(s277)) | xuntil6(s278)), inference(lemma,lemma(discharge,[]))).
% 9.67/7.12 tff(42470,plain,
% 9.67/7.12 (always3(s278)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42469, 41968, 42459])).
% 9.67/7.12 tff(42471,plain,
% 9.67/7.12 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s278)) | (~m_main_v_state(s278, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s278)) | (~m_main_v_state(s278, c_busy)))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42472,plain,
% 9.67/7.12 (((~m_main_v_state(s278, c_busy)) | (~always3(s278))) <=> ((~always3(s278)) | (~m_main_v_state(s278, c_busy)))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42473,plain,
% 9.67/7.12 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s278, c_busy)) | (~always3(s278)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s278)) | (~m_main_v_state(s278, c_busy))))),
% 9.67/7.12 inference(monotonicity,[status(thm)],[42472])).
% 9.67/7.12 tff(42474,plain,
% 9.67/7.12 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s278, c_busy)) | (~always3(s278)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s278)) | (~m_main_v_state(s278, c_busy)))),
% 9.67/7.12 inference(transitivity,[status(thm)],[42473, 42471])).
% 9.67/7.12 tff(42475,plain,
% 9.67/7.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s278, c_busy)) | (~always3(s278)))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42476,plain,
% 9.67/7.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s278)) | (~m_main_v_state(s278, c_busy))),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42475, 42474])).
% 9.67/7.12 tff(42477,plain,
% 9.67/7.12 (~m_main_v_state(s278, c_busy)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42476, 170, 42470])).
% 9.67/7.12 tff(42478,plain,
% 9.67/7.12 (always3(s279)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[5577, 42470])).
% 9.67/7.12 tff(42479,plain,
% 9.67/7.12 (~m_main_v_state(s279, c_busy)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42427, 170, 42478])).
% 9.67/7.12 tff(42480,plain,
% 9.67/7.12 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s278, c_busy) | m_main_v_state(s278, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s278, c_busy) | m_main_v_state(s278, c_ready))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42481,plain,
% 9.67/7.12 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s278, c_busy) | m_main_v_state(s278, c_ready))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42482,plain,
% 9.67/7.12 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s278, c_busy) | m_main_v_state(s278, c_ready)),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42481, 42480])).
% 9.67/7.12 tff(42483,plain,
% 9.67/7.12 (m_main_v_state(s278, c_ready)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42482, 213, 42477])).
% 9.67/7.12 tff(42484,plain,
% 9.67/7.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s278, s279)) | node2(s278, s279))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s278, s279)) | node2(s278, s279))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42485,plain,
% 9.67/7.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s278, s279)) | node2(s278, s279))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42486,plain,
% 9.67/7.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s278, s279)) | node2(s278, s279)),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42485, 42484])).
% 9.67/7.12 tff(42487,plain,
% 9.67/7.12 (node2(s278, s279)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42486, 7, 5573])).
% 9.67/7.12 tff(42488,plain,
% 9.67/7.12 (((~![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)))) | ((~m_main_v_state(s278, c_ready)) | (~node2(s278, s279)) | m_main_v_state(s279, c_busy) | (~m_main_v_request(s278)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s278, c_ready)) | (~node2(s278, s279)) | m_main_v_state(s279, c_busy) | (~m_main_v_request(s278)))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42489,plain,
% 9.67/7.12 ((~![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)))) | ((~m_main_v_state(s278, c_ready)) | (~node2(s278, s279)) | m_main_v_state(s279, c_busy) | (~m_main_v_request(s278)))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42490,plain,
% 9.67/7.12 ((~![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)))) | (~m_main_v_state(s278, c_ready)) | (~node2(s278, s279)) | m_main_v_state(s279, c_busy) | (~m_main_v_request(s278))),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42489, 42488])).
% 9.67/7.12 tff(42491,plain,
% 9.67/7.12 ((~m_main_v_state(s278, c_ready)) | m_main_v_state(s279, c_busy) | (~m_main_v_request(s278))),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42490, 191, 42487])).
% 9.67/7.12 tff(42492,plain,
% 9.67/7.12 (~m_main_v_request(s278)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42491, 42483, 42479])).
% 9.67/7.12 tff(42493,plain,
% 9.67/7.12 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s278) | (~node4(s278)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s278) | (~node4(s278)))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42494,plain,
% 9.67/7.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s278) | (~node4(s278)))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42495,plain,
% 9.67/7.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s278) | (~node4(s278))),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42494, 42493])).
% 9.67/7.12 tff(42496,plain,
% 9.67/7.12 (~node4(s278)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42495, 154, 42492])).
% 9.67/7.12 tff(42497,plain,
% 9.67/7.12 (node4(s278) | (~until5(s278))),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[11956, 36, 42459])).
% 9.67/7.12 tff(42498,plain,
% 9.67/7.12 (~until5(s278)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42497, 42496])).
% 9.67/7.12 tff(42499,plain,
% 9.67/7.12 (~xuntil6(s277)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[11945, 42498])).
% 9.67/7.12 tff(42500,plain,
% 9.67/7.12 (node4(s277)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[41984, 42499])).
% 9.67/7.12 tff(42501,plain,
% 9.67/7.12 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s277) | (~node4(s277)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s277) | (~node4(s277)))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42502,plain,
% 9.67/7.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s277) | (~node4(s277)))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42503,plain,
% 9.67/7.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s277) | (~node4(s277))),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42502, 42501])).
% 9.67/7.12 tff(42504,plain,
% 9.67/7.12 (m_main_v_request(s277)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42503, 154, 42500])).
% 9.67/7.12 tff(42505,plain,
% 9.67/7.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s277, s278)) | node2(s277, s278))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s277, s278)) | node2(s277, s278))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42506,plain,
% 9.67/7.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s277, s278)) | node2(s277, s278))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42507,plain,
% 9.67/7.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s277, s278)) | node2(s277, s278)),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42506, 42505])).
% 9.67/7.12 tff(42508,plain,
% 9.67/7.12 (node2(s277, s278)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42507, 7, 5585])).
% 9.67/7.12 tff(42509,plain,
% 9.67/7.12 (((~![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)))) | ((~m_main_v_state(s277, c_ready)) | (~node2(s277, s278)) | m_main_v_state(s278, c_busy) | (~m_main_v_request(s277)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s277, c_ready)) | (~node2(s277, s278)) | m_main_v_state(s278, c_busy) | (~m_main_v_request(s277)))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42510,plain,
% 9.67/7.12 ((~![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)))) | ((~m_main_v_state(s277, c_ready)) | (~node2(s277, s278)) | m_main_v_state(s278, c_busy) | (~m_main_v_request(s277)))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42511,plain,
% 9.67/7.12 ((~![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)))) | (~m_main_v_state(s277, c_ready)) | (~node2(s277, s278)) | m_main_v_state(s278, c_busy) | (~m_main_v_request(s277))),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42510, 42509])).
% 9.67/7.12 tff(42512,plain,
% 9.67/7.12 ((~m_main_v_state(s277, c_ready)) | m_main_v_state(s278, c_busy) | (~m_main_v_request(s277))),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42511, 191, 42508])).
% 9.67/7.12 tff(42513,plain,
% 9.67/7.12 (~m_main_v_state(s277, c_ready)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42512, 42504, 42477])).
% 9.67/7.12 tff(42514,plain,
% 9.67/7.12 (always3(s277)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[11932, 22, 42500])).
% 9.67/7.12 tff(42515,plain,
% 9.67/7.12 (~m_main_v_state(s277, c_busy)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[35354, 170, 42514])).
% 9.67/7.12 tff(42516,plain,
% 9.67/7.12 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s277, c_busy) | m_main_v_state(s277, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s277, c_busy) | m_main_v_state(s277, c_ready))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42517,plain,
% 9.67/7.12 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s277, c_busy) | m_main_v_state(s277, c_ready))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42518,plain,
% 9.67/7.12 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s277, c_busy) | m_main_v_state(s277, c_ready)),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42517, 42516])).
% 9.67/7.12 tff(42519,plain,
% 9.67/7.12 ($false),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42518, 213, 42515, 42513])).
% 9.67/7.12 tff(42520,plain,((~until5(s277)) | xuntil6(s288) | m_main_v_state(s289, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.67/7.12 tff(42521,plain,
% 9.67/7.12 (xuntil6(s288)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42520, 41924, 41968])).
% 9.67/7.12 tff(42522,plain,
% 9.67/7.12 (until5(s289)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[12132, 42521])).
% 9.67/7.12 tff(42523,plain,
% 9.67/7.12 (xuntil6(s289) | node4(s289)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[12143, 36, 42522])).
% 9.67/7.12 tff(42524,plain,
% 9.67/7.12 (xuntil6(s289)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42523, 41967])).
% 9.67/7.12 tff(42525,plain,
% 9.67/7.12 (until5(s290)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[12149, 42524])).
% 9.67/7.12 tff(42526,plain,
% 9.67/7.12 (xuntil6(s310)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[41854, 42525, 41914])).
% 9.67/7.12 tff(42527,plain,
% 9.67/7.12 (until5(s311)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[12506, 42526])).
% 9.67/7.12 tff(42528,plain,
% 9.67/7.12 (xuntil6(s311) | node4(s311)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[12517, 36, 42527])).
% 9.67/7.12 tff(42529,plain,
% 9.67/7.12 (xuntil6(s311)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42528, 41917])).
% 9.67/7.12 tff(42530,plain,
% 9.67/7.12 (until5(s312)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[12523, 42529])).
% 9.67/7.12 tff(42531,plain,
% 9.67/7.12 (xuntil6(s312)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[12534, 36, 42530, 41913])).
% 9.67/7.12 tff(42532,plain,
% 9.67/7.12 ($false),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[12540, 42531, 41909])).
% 9.67/7.12 tff(42533,plain,(xuntil6(s314) | (~until5(s277)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.67/7.12 tff(42534,plain,
% 9.67/7.12 (xuntil6(s314)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42533, 38369, 5071])).
% 9.67/7.12 tff(42535,plain,
% 9.67/7.12 (until5(s315)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[12574, 42534])).
% 9.67/7.12 tff(42536,plain,
% 9.67/7.12 (xuntil6(s315)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[14306, 42535])).
% 9.67/7.12 tff(42537,plain,
% 9.67/7.12 (until5(s316)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[12911, 42536])).
% 9.67/7.12 tff(42538,plain,
% 9.67/7.12 (xuntil6(s316) | node4(s316)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[12905, 36, 42537])).
% 9.67/7.12 tff(42539,plain,
% 9.67/7.12 (xuntil6(s316)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42538, 14437])).
% 9.67/7.12 tff(42540,plain,
% 9.67/7.12 (until5(s317)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[12885, 42539])).
% 9.67/7.12 tff(42541,plain,
% 9.67/7.12 (xuntil6(s317) | node4(s317)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[12876, 36, 42540])).
% 9.67/7.12 tff(42542,plain,
% 9.67/7.12 (xuntil6(s317)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42541, 14423])).
% 9.67/7.12 tff(42543,plain,
% 9.67/7.12 (until5(s318)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[12856, 42542])).
% 9.67/7.12 tff(42544,plain,
% 9.67/7.12 (xuntil6(s318)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[12847, 36, 42543, 14391])).
% 9.67/7.12 tff(42545,plain,
% 9.67/7.12 (until5(s319)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[12827, 42544])).
% 9.67/7.12 tff(42546,plain,
% 9.67/7.12 (always3(s320)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[12807, 14388])).
% 9.67/7.12 tff(42547,plain,
% 9.67/7.12 (~m_main_v_state(s320, c_busy)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[14119, 170, 42546])).
% 9.67/7.12 tff(42548,assumption,(~m_main_v_state(s319, c_busy)), introduced(assumption)).
% 9.67/7.12 tff(42549,assumption,(~m_main_v_state(s319, c_ready)), introduced(assumption)).
% 9.67/7.12 tff(42550,plain,
% 9.67/7.12 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s318, s319)) | m_main_v_state(s319, c_busy) | node1(s318) | m_main_v_state(s319, 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(s318, s319)) | m_main_v_state(s319, c_busy) | node1(s318) | m_main_v_state(s319, c_ready))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42551,plain,
% 9.67/7.12 ((node1(s318) | m_main_v_state(s319, c_ready) | (~node2(s318, s319)) | m_main_v_state(s319, c_busy)) <=> ((~node2(s318, s319)) | m_main_v_state(s319, c_busy) | node1(s318) | m_main_v_state(s319, c_ready))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42552,plain,
% 9.67/7.12 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s318) | m_main_v_state(s319, c_ready) | (~node2(s318, s319)) | m_main_v_state(s319, 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(s318, s319)) | m_main_v_state(s319, c_busy) | node1(s318) | m_main_v_state(s319, c_ready)))),
% 9.67/7.12 inference(monotonicity,[status(thm)],[42551])).
% 9.67/7.12 tff(42553,plain,
% 9.67/7.12 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s318) | m_main_v_state(s319, c_ready) | (~node2(s318, s319)) | m_main_v_state(s319, 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(s318, s319)) | m_main_v_state(s319, c_busy) | node1(s318) | m_main_v_state(s319, c_ready))),
% 9.67/7.12 inference(transitivity,[status(thm)],[42552, 42550])).
% 9.67/7.12 tff(42554,plain,
% 9.67/7.12 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s318) | m_main_v_state(s319, c_ready) | (~node2(s318, s319)) | m_main_v_state(s319, c_busy))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42555,plain,
% 9.67/7.12 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s318, s319)) | m_main_v_state(s319, c_busy) | node1(s318) | m_main_v_state(s319, c_ready)),
% 9.67/7.12 inference(modus_ponens,[status(thm)],[42554, 42553])).
% 9.67/7.12 tff(42556,plain,
% 9.67/7.12 (m_main_v_state(s319, c_busy) | node1(s318) | m_main_v_state(s319, c_ready)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42555, 4166, 14258])).
% 9.67/7.12 tff(42557,plain,
% 9.67/7.12 (node1(s318)),
% 9.67/7.12 inference(unit_resolution,[status(thm)],[42556, 42548, 42549])).
% 9.67/7.12 tff(42558,plain,
% 9.67/7.12 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s318, c_ready) | (~node1(s318)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s318, c_ready) | (~node1(s318)))),
% 9.67/7.12 inference(rewrite,[status(thm)],[])).
% 9.67/7.12 tff(42559,plain,
% 9.67/7.12 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s318, c_ready) | (~node1(s318)))),
% 9.67/7.12 inference(quant_inst,[status(thm)],[])).
% 9.67/7.12 tff(42560,plain,
% 9.67/7.12 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s318, c_ready) | (~node1(s318))),
% 9.67/7.13 inference(modus_ponens,[status(thm)],[42559, 42558])).
% 9.67/7.13 tff(42561,plain,
% 9.67/7.13 (m_main_v_state(s318, c_ready)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42560, 4151, 42557])).
% 9.67/7.13 tff(42562,plain,
% 9.67/7.13 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s318) | (~node1(s318)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s318) | (~node1(s318)))),
% 9.67/7.13 inference(rewrite,[status(thm)],[])).
% 9.67/7.13 tff(42563,plain,
% 9.67/7.13 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s318) | (~node1(s318)))),
% 9.67/7.13 inference(quant_inst,[status(thm)],[])).
% 9.67/7.13 tff(42564,plain,
% 9.67/7.13 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s318) | (~node1(s318))),
% 9.67/7.13 inference(modus_ponens,[status(thm)],[42563, 42562])).
% 9.67/7.13 tff(42565,plain,
% 9.67/7.13 (m_main_v_request(s318)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42564, 14380, 42557])).
% 9.67/7.13 tff(42566,plain,
% 9.67/7.13 ($false),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[14262, 42565, 42561, 42548])).
% 9.67/7.13 tff(42567,plain,(m_main_v_state(s319, c_busy) | m_main_v_state(s319, c_ready)), inference(lemma,lemma(discharge,[]))).
% 9.67/7.13 tff(42568,plain,
% 9.67/7.13 (m_main_v_state(s319, c_ready)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42567, 14389])).
% 9.67/7.13 tff(42569,plain,
% 9.67/7.13 (~m_main_v_request(s319)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[14213, 42568, 42547])).
% 9.67/7.13 tff(42570,plain,
% 9.67/7.13 (~node4(s319)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[14217, 154, 42569])).
% 9.67/7.13 tff(42571,plain,
% 9.67/7.13 (xuntil6(s319) | (~until5(s319))),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[12818, 36, 42570])).
% 9.67/7.13 tff(42572,plain,
% 9.67/7.13 (xuntil6(s319)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42571, 42545])).
% 9.67/7.13 tff(42573,plain,
% 9.67/7.13 (until5(s320)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[12798, 42572])).
% 9.67/7.13 tff(42574,plain,
% 9.67/7.13 (always3(s321)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[12778, 42546])).
% 9.67/7.13 tff(42575,plain,
% 9.67/7.13 (~m_main_v_state(s321, c_busy)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[14096, 170, 42574])).
% 9.67/7.13 tff(42576,plain,
% 9.67/7.13 (~node4(s320)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[14125, 42575])).
% 9.67/7.13 tff(42577,plain,
% 9.67/7.13 (xuntil6(s320) | (~until5(s320))),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[12789, 36, 42576])).
% 9.67/7.13 tff(42578,plain,
% 9.67/7.13 (xuntil6(s320)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42577, 42573])).
% 9.67/7.13 tff(42579,plain,
% 9.67/7.13 (until5(s321)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[12769, 42578])).
% 9.67/7.13 tff(42580,plain,
% 9.67/7.13 (always3(s322)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[12749, 42574])).
% 9.67/7.13 tff(42581,plain,
% 9.67/7.13 (always3(s323)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[12720, 42580])).
% 9.67/7.13 tff(42582,plain,
% 9.67/7.13 (always3(s324)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[12691, 42581])).
% 9.67/7.13 tff(42583,plain,
% 9.67/7.13 (always3(s325)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[12662, 42582])).
% 9.67/7.13 tff(42584,plain,
% 9.67/7.13 (~m_main_v_state(s325, c_busy)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[13308, 170, 42583])).
% 9.67/7.13 tff(42585,plain,
% 9.67/7.13 (~m_main_v_state(s324, c_busy)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[13641, 170, 42582])).
% 9.67/7.13 tff(42586,plain,
% 9.67/7.13 (~m_main_v_state(s323, c_busy)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[13664, 170, 42581])).
% 9.67/7.13 tff(42587,assumption,(~m_main_v_state(s323, c_busy)), introduced(assumption)).
% 9.67/7.13 tff(42588,assumption,(~m_main_v_state(s323, c_ready)), introduced(assumption)).
% 9.67/7.13 tff(42589,plain,
% 9.67/7.13 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s322, s323)) | m_main_v_state(s323, c_busy) | node1(s322) | m_main_v_state(s323, 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(s322, s323)) | m_main_v_state(s323, c_busy) | node1(s322) | m_main_v_state(s323, c_ready))),
% 9.67/7.13 inference(rewrite,[status(thm)],[])).
% 9.67/7.13 tff(42590,plain,
% 9.67/7.13 ((node1(s322) | m_main_v_state(s323, c_ready) | (~node2(s322, s323)) | m_main_v_state(s323, c_busy)) <=> ((~node2(s322, s323)) | m_main_v_state(s323, c_busy) | node1(s322) | m_main_v_state(s323, c_ready))),
% 9.67/7.13 inference(rewrite,[status(thm)],[])).
% 9.67/7.13 tff(42591,plain,
% 9.67/7.13 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s322) | m_main_v_state(s323, c_ready) | (~node2(s322, s323)) | m_main_v_state(s323, 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(s322, s323)) | m_main_v_state(s323, c_busy) | node1(s322) | m_main_v_state(s323, c_ready)))),
% 9.67/7.13 inference(monotonicity,[status(thm)],[42590])).
% 9.67/7.13 tff(42592,plain,
% 9.67/7.13 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s322) | m_main_v_state(s323, c_ready) | (~node2(s322, s323)) | m_main_v_state(s323, 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(s322, s323)) | m_main_v_state(s323, c_busy) | node1(s322) | m_main_v_state(s323, c_ready))),
% 9.67/7.13 inference(transitivity,[status(thm)],[42591, 42589])).
% 9.67/7.13 tff(42593,plain,
% 9.67/7.13 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s322) | m_main_v_state(s323, c_ready) | (~node2(s322, s323)) | m_main_v_state(s323, c_busy))),
% 9.67/7.13 inference(quant_inst,[status(thm)],[])).
% 9.67/7.13 tff(42594,plain,
% 9.67/7.13 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s322, s323)) | m_main_v_state(s323, c_busy) | node1(s322) | m_main_v_state(s323, c_ready)),
% 9.67/7.13 inference(modus_ponens,[status(thm)],[42593, 42592])).
% 9.67/7.13 tff(42595,plain,
% 9.67/7.13 (m_main_v_state(s323, c_busy) | node1(s322) | m_main_v_state(s323, c_ready)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42594, 4166, 14021])).
% 9.67/7.13 tff(42596,plain,
% 9.67/7.13 (node1(s322)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42595, 42587, 42588])).
% 9.67/7.13 tff(42597,plain,
% 9.67/7.13 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s322, c_ready) | (~node1(s322)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s322, c_ready) | (~node1(s322)))),
% 9.67/7.13 inference(rewrite,[status(thm)],[])).
% 9.67/7.13 tff(42598,plain,
% 9.67/7.13 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s322, c_ready) | (~node1(s322)))),
% 9.67/7.13 inference(quant_inst,[status(thm)],[])).
% 9.67/7.13 tff(42599,plain,
% 9.67/7.13 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s322, c_ready) | (~node1(s322))),
% 9.67/7.13 inference(modus_ponens,[status(thm)],[42598, 42597])).
% 9.67/7.13 tff(42600,plain,
% 9.67/7.13 (m_main_v_state(s322, c_ready)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42599, 4151, 42596])).
% 9.67/7.13 tff(42601,plain,
% 9.67/7.13 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s322) | (~node1(s322)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s322) | (~node1(s322)))),
% 9.67/7.13 inference(rewrite,[status(thm)],[])).
% 9.67/7.13 tff(42602,plain,
% 9.67/7.13 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s322) | (~node1(s322)))),
% 9.67/7.13 inference(quant_inst,[status(thm)],[])).
% 9.67/7.13 tff(42603,plain,
% 9.67/7.13 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s322) | (~node1(s322))),
% 9.67/7.13 inference(modus_ponens,[status(thm)],[42602, 42601])).
% 9.67/7.13 tff(42604,plain,
% 9.67/7.13 (m_main_v_request(s322)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42603, 14380, 42596])).
% 9.67/7.13 tff(42605,plain,
% 9.67/7.13 ($false),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[14025, 42604, 42600, 42587])).
% 9.67/7.13 tff(42606,plain,(m_main_v_state(s323, c_busy) | m_main_v_state(s323, c_ready)), inference(lemma,lemma(discharge,[]))).
% 9.67/7.13 tff(42607,plain,
% 9.67/7.13 (m_main_v_state(s323, c_ready)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42606, 42586])).
% 9.67/7.13 tff(42608,assumption,(~m_main_v_state(s324, c_ready)), introduced(assumption)).
% 9.67/7.13 tff(42609,plain,
% 9.67/7.13 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s323, s324)) | m_main_v_state(s324, c_busy) | node1(s323) | m_main_v_state(s324, 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(s323, s324)) | m_main_v_state(s324, c_busy) | node1(s323) | m_main_v_state(s324, c_ready))),
% 9.67/7.13 inference(rewrite,[status(thm)],[])).
% 9.67/7.13 tff(42610,plain,
% 9.67/7.13 ((node1(s323) | m_main_v_state(s324, c_ready) | (~node2(s323, s324)) | m_main_v_state(s324, c_busy)) <=> ((~node2(s323, s324)) | m_main_v_state(s324, c_busy) | node1(s323) | m_main_v_state(s324, c_ready))),
% 9.67/7.13 inference(rewrite,[status(thm)],[])).
% 9.67/7.13 tff(42611,plain,
% 9.67/7.13 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s323) | m_main_v_state(s324, c_ready) | (~node2(s323, s324)) | m_main_v_state(s324, 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(s323, s324)) | m_main_v_state(s324, c_busy) | node1(s323) | m_main_v_state(s324, c_ready)))),
% 9.67/7.13 inference(monotonicity,[status(thm)],[42610])).
% 9.67/7.13 tff(42612,plain,
% 9.67/7.13 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s323) | m_main_v_state(s324, c_ready) | (~node2(s323, s324)) | m_main_v_state(s324, 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(s323, s324)) | m_main_v_state(s324, c_busy) | node1(s323) | m_main_v_state(s324, c_ready))),
% 9.67/7.13 inference(transitivity,[status(thm)],[42611, 42609])).
% 9.67/7.13 tff(42613,plain,
% 9.67/7.13 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s323) | m_main_v_state(s324, c_ready) | (~node2(s323, s324)) | m_main_v_state(s324, c_busy))),
% 9.67/7.13 inference(quant_inst,[status(thm)],[])).
% 9.67/7.13 tff(42614,plain,
% 9.67/7.13 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s323, s324)) | m_main_v_state(s324, c_busy) | node1(s323) | m_main_v_state(s324, c_ready)),
% 9.67/7.13 inference(modus_ponens,[status(thm)],[42613, 42612])).
% 9.67/7.13 tff(42615,plain,
% 9.67/7.13 (m_main_v_state(s324, c_busy) | node1(s323) | m_main_v_state(s324, c_ready)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42614, 4166, 13652])).
% 9.67/7.13 tff(42616,plain,
% 9.67/7.13 (node1(s323)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42615, 13643, 42608])).
% 9.67/7.13 tff(42617,assumption,(m_main_v_state(s323, c_ready)), introduced(assumption)).
% 9.67/7.13 tff(42618,plain,
% 9.67/7.13 (~m_main_v_request(s323)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[13656, 13643, 42617])).
% 9.67/7.13 tff(42619,plain,
% 9.67/7.13 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s323) | (~node1(s323)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s323) | (~node1(s323)))),
% 9.67/7.13 inference(rewrite,[status(thm)],[])).
% 9.67/7.13 tff(42620,plain,
% 9.67/7.13 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s323) | (~node1(s323)))),
% 9.67/7.13 inference(quant_inst,[status(thm)],[])).
% 9.67/7.13 tff(42621,plain,
% 9.67/7.13 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s323) | (~node1(s323))),
% 9.67/7.13 inference(modus_ponens,[status(thm)],[42620, 42619])).
% 9.67/7.13 tff(42622,plain,
% 9.67/7.13 ($false),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42621, 14380, 42618, 42616])).
% 9.67/7.13 tff(42623,plain,(m_main_v_state(s324, c_busy) | (~m_main_v_state(s323, c_ready)) | m_main_v_state(s324, c_ready)), inference(lemma,lemma(discharge,[]))).
% 9.67/7.13 tff(42624,plain,
% 9.67/7.13 (m_main_v_state(s324, c_ready)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42623, 42607, 42585])).
% 9.67/7.13 tff(42625,plain,
% 9.67/7.13 (~m_main_v_request(s324)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[13685, 42624, 42584])).
% 9.67/7.13 tff(42626,plain,
% 9.67/7.13 (~node4(s324)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[13689, 154, 42625])).
% 9.67/7.13 tff(42627,plain,
% 9.67/7.13 (always3(s326)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[12633, 42583])).
% 9.67/7.13 tff(42628,plain,
% 9.67/7.13 (always3(s327)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[12588, 42627])).
% 9.67/7.13 tff(42629,plain,
% 9.67/7.13 (~m_main_v_state(s327, c_busy)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[13237, 170, 42628])).
% 9.67/7.13 tff(42630,plain,
% 9.67/7.13 (always3(s328)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[13207, 42628])).
% 9.67/7.13 tff(42631,plain,
% 9.67/7.13 (~m_main_v_state(s328, c_busy)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[13214, 170, 42630])).
% 9.67/7.13 tff(42632,assumption,(node1(s326)), introduced(assumption)).
% 9.67/7.13 tff(42633,plain,
% 9.67/7.13 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s326, c_ready) | (~node1(s326)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s326, c_ready) | (~node1(s326)))),
% 9.67/7.13 inference(rewrite,[status(thm)],[])).
% 9.67/7.13 tff(42634,plain,
% 9.67/7.13 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s326, c_ready) | (~node1(s326)))),
% 9.67/7.13 inference(quant_inst,[status(thm)],[])).
% 9.67/7.13 tff(42635,plain,
% 9.67/7.13 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s326, c_ready) | (~node1(s326))),
% 9.67/7.13 inference(modus_ponens,[status(thm)],[42634, 42633])).
% 9.67/7.13 tff(42636,plain,
% 9.67/7.13 (m_main_v_state(s326, c_ready)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42635, 4151, 42632])).
% 9.67/7.13 tff(42637,plain,
% 9.67/7.13 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s326) | (~node1(s326)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s326) | (~node1(s326)))),
% 9.67/7.13 inference(rewrite,[status(thm)],[])).
% 9.67/7.13 tff(42638,plain,
% 9.67/7.13 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s326) | (~node1(s326)))),
% 9.67/7.13 inference(quant_inst,[status(thm)],[])).
% 9.67/7.13 tff(42639,plain,
% 9.67/7.13 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s326) | (~node1(s326))),
% 9.67/7.13 inference(modus_ponens,[status(thm)],[42638, 42637])).
% 9.67/7.13 tff(42640,plain,
% 9.67/7.13 (m_main_v_request(s326)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42639, 14380, 42632])).
% 9.67/7.13 tff(42641,plain,
% 9.67/7.13 ($false),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[13280, 42640, 42636, 13268])).
% 9.67/7.13 tff(42642,plain,((~node1(s326)) | m_main_v_state(s327, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.67/7.13 tff(42643,plain,
% 9.67/7.13 (~node1(s326)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42642, 42629])).
% 9.67/7.13 tff(42644,plain,
% 9.67/7.13 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s326, s327)) | m_main_v_state(s327, c_busy) | node1(s326) | m_main_v_state(s327, 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(s326, s327)) | m_main_v_state(s327, c_busy) | node1(s326) | m_main_v_state(s327, c_ready))),
% 9.67/7.13 inference(rewrite,[status(thm)],[])).
% 9.67/7.13 tff(42645,plain,
% 9.67/7.13 ((node1(s326) | m_main_v_state(s327, c_ready) | (~node2(s326, s327)) | m_main_v_state(s327, c_busy)) <=> ((~node2(s326, s327)) | m_main_v_state(s327, c_busy) | node1(s326) | m_main_v_state(s327, c_ready))),
% 9.67/7.13 inference(rewrite,[status(thm)],[])).
% 9.67/7.13 tff(42646,plain,
% 9.67/7.13 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s326) | m_main_v_state(s327, c_ready) | (~node2(s326, s327)) | m_main_v_state(s327, 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(s326, s327)) | m_main_v_state(s327, c_busy) | node1(s326) | m_main_v_state(s327, c_ready)))),
% 9.67/7.13 inference(monotonicity,[status(thm)],[42645])).
% 9.67/7.13 tff(42647,plain,
% 9.67/7.13 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s326) | m_main_v_state(s327, c_ready) | (~node2(s326, s327)) | m_main_v_state(s327, 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(s326, s327)) | m_main_v_state(s327, c_busy) | node1(s326) | m_main_v_state(s327, c_ready))),
% 9.67/7.13 inference(transitivity,[status(thm)],[42646, 42644])).
% 9.67/7.13 tff(42648,plain,
% 9.67/7.13 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s326) | m_main_v_state(s327, c_ready) | (~node2(s326, s327)) | m_main_v_state(s327, c_busy))),
% 9.67/7.13 inference(quant_inst,[status(thm)],[])).
% 9.67/7.13 tff(42649,plain,
% 9.67/7.13 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s326, s327)) | m_main_v_state(s327, c_busy) | node1(s326) | m_main_v_state(s327, c_ready)),
% 9.67/7.13 inference(modus_ponens,[status(thm)],[42648, 42647])).
% 9.67/7.13 tff(42650,plain,
% 9.67/7.13 (m_main_v_state(s327, c_busy) | node1(s326) | m_main_v_state(s327, c_ready)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42649, 4166, 13276])).
% 9.67/7.13 tff(42651,plain,
% 9.67/7.13 (m_main_v_state(s327, c_ready)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42650, 42643, 42629])).
% 9.67/7.13 tff(42652,plain,
% 9.67/7.13 (~m_main_v_request(s327)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[13230, 42651, 42631])).
% 9.67/7.13 tff(42653,plain,
% 9.67/7.13 (~node4(s327)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[13221, 154, 42652])).
% 9.67/7.13 tff(42654,plain,
% 9.67/7.13 (~until5(s327)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[12604, 42653])).
% 9.67/7.13 tff(42655,plain,
% 9.67/7.13 (~xuntil6(s326)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[12609, 42654])).
% 9.67/7.13 tff(42656,plain,
% 9.67/7.13 (~until5(s325)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[13314, 42655, 42629])).
% 9.67/7.13 tff(42657,plain,
% 9.67/7.13 (~xuntil6(s324)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[12653, 42656])).
% 9.67/7.13 tff(42658,plain,
% 9.67/7.13 (~until5(s324)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[12673, 36, 42657, 42626])).
% 9.67/7.13 tff(42659,plain,
% 9.67/7.13 (~xuntil6(s323)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[12682, 42658])).
% 9.67/7.13 tff(42660,plain,
% 9.67/7.13 (~node4(s323)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[13670, 42585])).
% 9.67/7.13 tff(42661,plain,
% 9.67/7.13 (xuntil6(s323) | (~until5(s323))),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[12702, 36, 42660])).
% 9.67/7.13 tff(42662,plain,
% 9.67/7.13 (~until5(s323)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42661, 42659])).
% 9.67/7.13 tff(42663,plain,
% 9.67/7.13 (~xuntil6(s322)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[12711, 42662])).
% 9.67/7.13 tff(42664,plain,
% 9.67/7.13 (~m_main_v_state(s322, c_busy)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[14012, 170, 42580])).
% 9.67/7.13 tff(42665,assumption,(~m_main_v_state(s320, c_busy)), introduced(assumption)).
% 9.67/7.13 tff(42666,assumption,(node1(s319)), introduced(assumption)).
% 9.67/7.13 tff(42667,plain,
% 9.67/7.13 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s319, c_ready) | (~node1(s319)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s319, c_ready) | (~node1(s319)))),
% 9.67/7.13 inference(rewrite,[status(thm)],[])).
% 9.67/7.13 tff(42668,plain,
% 9.67/7.13 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s319, c_ready) | (~node1(s319)))),
% 9.67/7.13 inference(quant_inst,[status(thm)],[])).
% 9.67/7.13 tff(42669,plain,
% 9.67/7.13 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s319, c_ready) | (~node1(s319))),
% 9.67/7.13 inference(modus_ponens,[status(thm)],[42668, 42667])).
% 9.67/7.13 tff(42670,plain,
% 9.67/7.13 (m_main_v_state(s319, c_ready)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42669, 4151, 42666])).
% 9.67/7.13 tff(42671,plain,
% 9.67/7.13 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s319) | (~node1(s319)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s319) | (~node1(s319)))),
% 9.67/7.13 inference(rewrite,[status(thm)],[])).
% 9.67/7.13 tff(42672,plain,
% 9.67/7.13 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s319) | (~node1(s319)))),
% 9.67/7.13 inference(quant_inst,[status(thm)],[])).
% 9.67/7.13 tff(42673,plain,
% 9.67/7.13 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s319) | (~node1(s319))),
% 9.67/7.13 inference(modus_ponens,[status(thm)],[42672, 42671])).
% 9.67/7.13 tff(42674,plain,
% 9.67/7.13 (m_main_v_request(s319)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42673, 14380, 42666])).
% 9.67/7.13 tff(42675,plain,
% 9.67/7.13 ($false),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[14213, 42674, 42670, 42665])).
% 9.67/7.13 tff(42676,plain,((~node1(s319)) | m_main_v_state(s320, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.67/7.13 tff(42677,plain,
% 9.67/7.13 (~node1(s319)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42676, 42547])).
% 9.67/7.13 tff(42678,plain,
% 9.67/7.13 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s319, s320)) | m_main_v_state(s320, c_busy) | node1(s319) | m_main_v_state(s320, 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(s319, s320)) | m_main_v_state(s320, c_busy) | node1(s319) | m_main_v_state(s320, c_ready))),
% 9.67/7.13 inference(rewrite,[status(thm)],[])).
% 9.67/7.13 tff(42679,plain,
% 9.67/7.13 ((node1(s319) | m_main_v_state(s320, c_ready) | (~node2(s319, s320)) | m_main_v_state(s320, c_busy)) <=> ((~node2(s319, s320)) | m_main_v_state(s320, c_busy) | node1(s319) | m_main_v_state(s320, c_ready))),
% 9.67/7.13 inference(rewrite,[status(thm)],[])).
% 9.67/7.13 tff(42680,plain,
% 9.67/7.13 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s319) | m_main_v_state(s320, c_ready) | (~node2(s319, s320)) | m_main_v_state(s320, 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(s319, s320)) | m_main_v_state(s320, c_busy) | node1(s319) | m_main_v_state(s320, c_ready)))),
% 9.67/7.13 inference(monotonicity,[status(thm)],[42679])).
% 9.67/7.13 tff(42681,plain,
% 9.67/7.13 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s319) | m_main_v_state(s320, c_ready) | (~node2(s319, s320)) | m_main_v_state(s320, 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(s319, s320)) | m_main_v_state(s320, c_busy) | node1(s319) | m_main_v_state(s320, c_ready))),
% 9.67/7.13 inference(transitivity,[status(thm)],[42680, 42678])).
% 9.67/7.13 tff(42682,plain,
% 9.67/7.13 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s319) | m_main_v_state(s320, c_ready) | (~node2(s319, s320)) | m_main_v_state(s320, c_busy))),
% 9.67/7.13 inference(quant_inst,[status(thm)],[])).
% 9.67/7.13 tff(42683,plain,
% 9.67/7.13 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s319, s320)) | m_main_v_state(s320, c_busy) | node1(s319) | m_main_v_state(s320, c_ready)),
% 9.67/7.13 inference(modus_ponens,[status(thm)],[42682, 42681])).
% 9.67/7.13 tff(42684,plain,
% 9.67/7.13 (m_main_v_state(s320, c_busy) | node1(s319) | m_main_v_state(s320, c_ready)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42683, 4166, 14209])).
% 9.67/7.13 tff(42685,plain,
% 9.67/7.13 (m_main_v_state(s320, c_ready)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42684, 42547, 42677])).
% 9.67/7.13 tff(42686,assumption,(~m_main_v_state(s321, c_ready)), introduced(assumption)).
% 9.67/7.13 tff(42687,plain,
% 9.67/7.13 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s320, s321)) | m_main_v_state(s321, c_busy) | node1(s320) | m_main_v_state(s321, 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(s320, s321)) | m_main_v_state(s321, c_busy) | node1(s320) | m_main_v_state(s321, c_ready))),
% 9.67/7.13 inference(rewrite,[status(thm)],[])).
% 9.67/7.13 tff(42688,plain,
% 9.67/7.13 ((node1(s320) | m_main_v_state(s321, c_ready) | (~node2(s320, s321)) | m_main_v_state(s321, c_busy)) <=> ((~node2(s320, s321)) | m_main_v_state(s321, c_busy) | node1(s320) | m_main_v_state(s321, c_ready))),
% 9.67/7.13 inference(rewrite,[status(thm)],[])).
% 9.67/7.13 tff(42689,plain,
% 9.67/7.13 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s320) | m_main_v_state(s321, c_ready) | (~node2(s320, s321)) | m_main_v_state(s321, 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(s320, s321)) | m_main_v_state(s321, c_busy) | node1(s320) | m_main_v_state(s321, c_ready)))),
% 9.67/7.13 inference(monotonicity,[status(thm)],[42688])).
% 9.67/7.13 tff(42690,plain,
% 9.67/7.13 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s320) | m_main_v_state(s321, c_ready) | (~node2(s320, s321)) | m_main_v_state(s321, 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(s320, s321)) | m_main_v_state(s321, c_busy) | node1(s320) | m_main_v_state(s321, c_ready))),
% 9.67/7.13 inference(transitivity,[status(thm)],[42689, 42687])).
% 9.67/7.13 tff(42691,plain,
% 9.67/7.13 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s320) | m_main_v_state(s321, c_ready) | (~node2(s320, s321)) | m_main_v_state(s321, c_busy))),
% 9.67/7.13 inference(quant_inst,[status(thm)],[])).
% 9.67/7.13 tff(42692,plain,
% 9.67/7.13 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s320, s321)) | m_main_v_state(s321, c_busy) | node1(s320) | m_main_v_state(s321, c_ready)),
% 9.67/7.13 inference(modus_ponens,[status(thm)],[42691, 42690])).
% 9.67/7.13 tff(42693,plain,
% 9.67/7.13 (m_main_v_state(s321, c_busy) | node1(s320) | m_main_v_state(s321, c_ready)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42692, 4166, 14107])).
% 9.67/7.13 tff(42694,plain,
% 9.67/7.13 (node1(s320)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42693, 14098, 42686])).
% 9.67/7.13 tff(42695,assumption,(m_main_v_state(s320, c_ready)), introduced(assumption)).
% 9.67/7.13 tff(42696,plain,
% 9.67/7.13 (~m_main_v_request(s320)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[14111, 14098, 42695])).
% 9.67/7.13 tff(42697,plain,
% 9.67/7.13 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s320) | (~node1(s320)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s320) | (~node1(s320)))),
% 9.67/7.13 inference(rewrite,[status(thm)],[])).
% 9.67/7.13 tff(42698,plain,
% 9.67/7.13 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s320) | (~node1(s320)))),
% 9.67/7.13 inference(quant_inst,[status(thm)],[])).
% 9.67/7.13 tff(42699,plain,
% 9.67/7.13 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s320) | (~node1(s320))),
% 9.67/7.13 inference(modus_ponens,[status(thm)],[42698, 42697])).
% 9.67/7.13 tff(42700,plain,
% 9.67/7.13 ($false),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42699, 14380, 42696, 42694])).
% 9.67/7.13 tff(42701,plain,(m_main_v_state(s321, c_busy) | m_main_v_state(s321, c_ready) | (~m_main_v_state(s320, c_ready))), inference(lemma,lemma(discharge,[]))).
% 9.67/7.13 tff(42702,plain,
% 9.67/7.13 (m_main_v_state(s321, c_ready)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42701, 42685, 42575])).
% 9.67/7.13 tff(42703,assumption,(~m_main_v_state(s322, c_ready)), introduced(assumption)).
% 9.67/7.13 tff(42704,assumption,(~m_main_v_state(s322, c_busy)), introduced(assumption)).
% 9.67/7.13 tff(42705,plain,
% 9.67/7.13 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s321, s322)) | m_main_v_state(s322, c_busy) | node1(s321) | m_main_v_state(s322, 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(s321, s322)) | m_main_v_state(s322, c_busy) | node1(s321) | m_main_v_state(s322, c_ready))),
% 9.67/7.13 inference(rewrite,[status(thm)],[])).
% 9.67/7.13 tff(42706,plain,
% 9.67/7.13 ((node1(s321) | m_main_v_state(s322, c_ready) | (~node2(s321, s322)) | m_main_v_state(s322, c_busy)) <=> ((~node2(s321, s322)) | m_main_v_state(s322, c_busy) | node1(s321) | m_main_v_state(s322, c_ready))),
% 9.67/7.13 inference(rewrite,[status(thm)],[])).
% 9.67/7.13 tff(42707,plain,
% 9.67/7.13 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s321) | m_main_v_state(s322, c_ready) | (~node2(s321, s322)) | m_main_v_state(s322, 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(s321, s322)) | m_main_v_state(s322, c_busy) | node1(s321) | m_main_v_state(s322, c_ready)))),
% 9.67/7.13 inference(monotonicity,[status(thm)],[42706])).
% 9.67/7.13 tff(42708,plain,
% 9.67/7.13 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s321) | m_main_v_state(s322, c_ready) | (~node2(s321, s322)) | m_main_v_state(s322, 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(s321, s322)) | m_main_v_state(s322, c_busy) | node1(s321) | m_main_v_state(s322, c_ready))),
% 9.67/7.13 inference(transitivity,[status(thm)],[42707, 42705])).
% 9.67/7.13 tff(42709,plain,
% 9.67/7.13 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s321) | m_main_v_state(s322, c_ready) | (~node2(s321, s322)) | m_main_v_state(s322, c_busy))),
% 9.67/7.13 inference(quant_inst,[status(thm)],[])).
% 9.67/7.13 tff(42710,plain,
% 9.67/7.13 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s321, s322)) | m_main_v_state(s322, c_busy) | node1(s321) | m_main_v_state(s322, c_ready)),
% 9.67/7.13 inference(modus_ponens,[status(thm)],[42709, 42708])).
% 9.67/7.13 tff(42711,plain,
% 9.67/7.13 (m_main_v_state(s322, c_busy) | node1(s321) | m_main_v_state(s322, c_ready)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42710, 4166, 14134])).
% 9.67/7.13 tff(42712,plain,
% 9.67/7.13 (node1(s321)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42711, 42704, 42703])).
% 9.67/7.13 tff(42713,assumption,(m_main_v_state(s321, c_ready)), introduced(assumption)).
% 9.67/7.13 tff(42714,plain,
% 9.67/7.13 (~m_main_v_request(s321)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[14138, 42704, 42713])).
% 9.67/7.13 tff(42715,plain,
% 9.67/7.13 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s321) | (~node1(s321)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s321) | (~node1(s321)))),
% 9.67/7.13 inference(rewrite,[status(thm)],[])).
% 9.67/7.13 tff(42716,plain,
% 9.67/7.13 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s321) | (~node1(s321)))),
% 9.67/7.13 inference(quant_inst,[status(thm)],[])).
% 9.67/7.13 tff(42717,plain,
% 9.67/7.13 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s321) | (~node1(s321))),
% 9.67/7.13 inference(modus_ponens,[status(thm)],[42716, 42715])).
% 9.67/7.13 tff(42718,plain,
% 9.67/7.13 ($false),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42717, 14380, 42714, 42712])).
% 9.67/7.13 tff(42719,plain,(m_main_v_state(s322, c_busy) | (~m_main_v_state(s321, c_ready)) | m_main_v_state(s322, c_ready)), inference(lemma,lemma(discharge,[]))).
% 9.67/7.13 tff(42720,plain,
% 9.67/7.13 (m_main_v_state(s322, c_ready)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42719, 42702, 42664])).
% 9.67/7.13 tff(42721,plain,
% 9.67/7.13 (~m_main_v_request(s322)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[14025, 42720, 42586])).
% 9.67/7.13 tff(42722,plain,
% 9.67/7.13 (~node4(s322)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[14029, 154, 42721])).
% 9.67/7.13 tff(42723,plain,
% 9.67/7.13 (xuntil6(s322) | (~until5(s322))),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[12731, 36, 42722])).
% 9.67/7.13 tff(42724,plain,
% 9.67/7.13 (~until5(s322)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42723, 42663])).
% 9.67/7.13 tff(42725,plain,
% 9.67/7.13 (~xuntil6(s321)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[12740, 42724])).
% 9.67/7.13 tff(42726,plain,
% 9.67/7.13 (~m_main_v_request(s321)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[14138, 42702, 42664])).
% 9.67/7.13 tff(42727,plain,
% 9.67/7.13 (~node4(s321)),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[14142, 154, 42726])).
% 9.67/7.13 tff(42728,plain,
% 9.67/7.13 (xuntil6(s321) | (~until5(s321))),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[12760, 36, 42727])).
% 9.67/7.13 tff(42729,plain,
% 9.67/7.13 ($false),
% 9.67/7.13 inference(unit_resolution,[status(thm)],[42728, 42725, 42579])).
% 9.67/7.13 tff(42730,plain,(xuntil6(s327)), inference(lemma,lemma(discharge,[]))).
% 9.70/7.13 tff(42731,plain,
% 9.70/7.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s327, s328)) | (~xuntil6(s327)) | until5(s328))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s327, s328)) | (~xuntil6(s327)) | until5(s328))),
% 9.70/7.13 inference(rewrite,[status(thm)],[])).
% 9.70/7.13 tff(42732,plain,
% 9.70/7.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s327, s328)) | (~xuntil6(s327)) | until5(s328))),
% 9.70/7.13 inference(quant_inst,[status(thm)],[])).
% 9.70/7.13 tff(42733,plain,
% 9.70/7.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s327, s328)) | (~xuntil6(s327)) | until5(s328)),
% 9.70/7.13 inference(modus_ponens,[status(thm)],[42732, 42731])).
% 9.70/7.13 tff(42734,plain,
% 9.70/7.13 ((~xuntil6(s327)) | until5(s328)),
% 9.70/7.13 inference(unit_resolution,[status(thm)],[42733, 13199, 141])).
% 9.70/7.13 tff(42735,plain,
% 9.70/7.13 (until5(s328)),
% 9.70/7.13 inference(unit_resolution,[status(thm)],[42734, 42730])).
% 9.70/7.13 tff(42736,assumption,(~xuntil6(s329)), introduced(assumption)).
% 9.70/7.13 tff(42737,assumption,(~always3(s329)), introduced(assumption)).
% 9.70/7.13 tff(42738,plain,
% 9.70/7.13 (succ(s328, s329) <=> succ(s328, s329)),
% 9.70/7.13 inference(rewrite,[status(thm)],[])).
% 9.70/7.13 tff(42739,axiom,(succ(s328, s329)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound329')).
% 9.70/7.13 tff(42740,plain,
% 9.70/7.13 (succ(s328, s329)),
% 9.70/7.13 inference(modus_ponens,[status(thm)],[42739, 42738])).
% 9.70/7.13 tff(42741,plain,
% 9.70/7.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s328, s329)) | trans(s328, s329))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s328, s329)) | trans(s328, s329))),
% 9.70/7.13 inference(rewrite,[status(thm)],[])).
% 9.70/7.13 tff(42742,plain,
% 9.70/7.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s328, s329)) | trans(s328, s329))),
% 9.70/7.13 inference(quant_inst,[status(thm)],[])).
% 9.70/7.13 tff(42743,plain,
% 9.70/7.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s328, s329)) | trans(s328, s329)),
% 9.70/7.13 inference(modus_ponens,[status(thm)],[42742, 42741])).
% 9.70/7.13 tff(42744,plain,
% 9.70/7.13 (trans(s328, s329)),
% 9.70/7.13 inference(unit_resolution,[status(thm)],[42743, 42740, 51])).
% 9.70/7.13 tff(42745,plain,
% 9.70/7.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s328, s329)) | (~always3(s328)) | always3(s329))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s328, s329)) | (~always3(s328)) | always3(s329))),
% 9.70/7.13 inference(rewrite,[status(thm)],[])).
% 9.70/7.13 tff(42746,plain,
% 9.70/7.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s328, s329)) | (~always3(s328)) | always3(s329))),
% 9.70/7.13 inference(quant_inst,[status(thm)],[])).
% 9.70/7.13 tff(42747,plain,
% 9.70/7.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s328, s329)) | (~always3(s328)) | always3(s329)),
% 9.70/7.13 inference(modus_ponens,[status(thm)],[42746, 42745])).
% 9.70/7.13 tff(42748,plain,
% 9.70/7.13 ((~always3(s328)) | always3(s329)),
% 9.70/7.13 inference(unit_resolution,[status(thm)],[42747, 68, 42744])).
% 9.70/7.13 tff(42749,plain,
% 9.70/7.13 (~always3(s328)),
% 9.70/7.13 inference(unit_resolution,[status(thm)],[42748, 42737])).
% 9.70/7.13 tff(42750,plain,
% 9.70/7.13 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s328) | (~node4(s328)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s328) | (~node4(s328)))),
% 9.70/7.13 inference(rewrite,[status(thm)],[])).
% 9.70/7.13 tff(42751,plain,
% 9.70/7.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s328) | (~node4(s328)))),
% 9.70/7.13 inference(quant_inst,[status(thm)],[])).
% 9.70/7.13 tff(42752,plain,
% 9.70/7.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s328) | (~node4(s328))),
% 9.70/7.13 inference(modus_ponens,[status(thm)],[42751, 42750])).
% 9.70/7.13 tff(42753,plain,
% 9.70/7.13 (~node4(s328)),
% 9.70/7.13 inference(unit_resolution,[status(thm)],[42752, 22, 42749])).
% 9.70/7.13 tff(42754,plain,
% 9.70/7.13 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s329) | (~node4(s329)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s329) | (~node4(s329)))),
% 9.70/7.13 inference(rewrite,[status(thm)],[])).
% 9.70/7.13 tff(42755,plain,
% 9.70/7.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s329) | (~node4(s329)))),
% 9.70/7.13 inference(quant_inst,[status(thm)],[])).
% 9.70/7.13 tff(42756,plain,
% 9.70/7.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s329) | (~node4(s329))),
% 9.70/7.14 inference(modus_ponens,[status(thm)],[42755, 42754])).
% 9.70/7.14 tff(42757,plain,
% 9.70/7.14 (~node4(s329)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42756, 22, 42737])).
% 9.70/7.14 tff(42758,plain,
% 9.70/7.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s329) | node4(s329) | (~until5(s329)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s329) | node4(s329) | (~until5(s329)))),
% 9.70/7.14 inference(rewrite,[status(thm)],[])).
% 9.70/7.14 tff(42759,plain,
% 9.70/7.14 ((node4(s329) | (~until5(s329)) | xuntil6(s329)) <=> (xuntil6(s329) | node4(s329) | (~until5(s329)))),
% 9.70/7.14 inference(rewrite,[status(thm)],[])).
% 9.70/7.14 tff(42760,plain,
% 9.70/7.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s329) | (~until5(s329)) | xuntil6(s329))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s329) | node4(s329) | (~until5(s329))))),
% 9.70/7.14 inference(monotonicity,[status(thm)],[42759])).
% 9.70/7.14 tff(42761,plain,
% 9.70/7.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s329) | (~until5(s329)) | xuntil6(s329))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s329) | node4(s329) | (~until5(s329)))),
% 9.70/7.14 inference(transitivity,[status(thm)],[42760, 42758])).
% 9.70/7.14 tff(42762,plain,
% 9.70/7.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s329) | (~until5(s329)) | xuntil6(s329))),
% 9.70/7.14 inference(quant_inst,[status(thm)],[])).
% 9.70/7.14 tff(42763,plain,
% 9.70/7.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s329) | node4(s329) | (~until5(s329))),
% 9.70/7.14 inference(modus_ponens,[status(thm)],[42762, 42761])).
% 9.70/7.14 tff(42764,plain,
% 9.70/7.14 (node4(s329) | (~until5(s329))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42763, 36, 42736])).
% 9.70/7.14 tff(42765,plain,
% 9.70/7.14 (~until5(s329)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42764, 42757])).
% 9.70/7.14 tff(42766,plain,
% 9.70/7.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s328, s329)) | (~xuntil6(s328)) | until5(s329))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s328, s329)) | (~xuntil6(s328)) | until5(s329))),
% 9.70/7.14 inference(rewrite,[status(thm)],[])).
% 9.70/7.14 tff(42767,plain,
% 9.70/7.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s328, s329)) | (~xuntil6(s328)) | until5(s329))),
% 9.70/7.14 inference(quant_inst,[status(thm)],[])).
% 9.70/7.14 tff(42768,plain,
% 9.70/7.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s328, s329)) | (~xuntil6(s328)) | until5(s329)),
% 9.70/7.14 inference(modus_ponens,[status(thm)],[42767, 42766])).
% 9.70/7.14 tff(42769,plain,
% 9.70/7.14 ((~xuntil6(s328)) | until5(s329)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42768, 42740, 141])).
% 9.70/7.14 tff(42770,plain,
% 9.70/7.14 (~xuntil6(s328)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42769, 42765])).
% 9.70/7.14 tff(42771,plain,
% 9.70/7.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s328) | node4(s328) | (~until5(s328)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s328) | node4(s328) | (~until5(s328)))),
% 9.70/7.14 inference(rewrite,[status(thm)],[])).
% 9.70/7.14 tff(42772,plain,
% 9.70/7.14 ((node4(s328) | (~until5(s328)) | xuntil6(s328)) <=> (xuntil6(s328) | node4(s328) | (~until5(s328)))),
% 9.70/7.14 inference(rewrite,[status(thm)],[])).
% 9.70/7.14 tff(42773,plain,
% 9.70/7.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s328) | (~until5(s328)) | xuntil6(s328))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s328) | node4(s328) | (~until5(s328))))),
% 9.70/7.14 inference(monotonicity,[status(thm)],[42772])).
% 9.70/7.14 tff(42774,plain,
% 9.70/7.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s328) | (~until5(s328)) | xuntil6(s328))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s328) | node4(s328) | (~until5(s328)))),
% 9.70/7.14 inference(transitivity,[status(thm)],[42773, 42771])).
% 9.70/7.14 tff(42775,plain,
% 9.70/7.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s328) | (~until5(s328)) | xuntil6(s328))),
% 9.70/7.14 inference(quant_inst,[status(thm)],[])).
% 9.70/7.14 tff(42776,plain,
% 9.70/7.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s328) | node4(s328) | (~until5(s328))),
% 9.70/7.14 inference(modus_ponens,[status(thm)],[42775, 42774])).
% 9.70/7.14 tff(42777,plain,
% 9.70/7.14 (~until5(s328)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42776, 36, 42770, 42753])).
% 9.70/7.14 tff(42778,plain,
% 9.70/7.14 (~xuntil6(s327)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42734, 42777])).
% 9.70/7.14 tff(42779,plain,
% 9.70/7.14 (~always3(s327)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[13207, 42749])).
% 9.70/7.14 tff(42780,plain,
% 9.70/7.14 (~node4(s327)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12596, 22, 42779])).
% 9.70/7.14 tff(42781,plain,
% 9.70/7.14 (xuntil6(s327) | (~until5(s327))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12603, 36, 42780])).
% 9.70/7.14 tff(42782,plain,
% 9.70/7.14 (~until5(s327)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42781, 42778])).
% 9.70/7.14 tff(42783,plain,
% 9.70/7.14 (~xuntil6(s326)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12609, 42782])).
% 9.70/7.14 tff(42784,plain,
% 9.70/7.14 (~always3(s326)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12588, 42779])).
% 9.70/7.14 tff(42785,plain,
% 9.70/7.14 (~node4(s326)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12592, 22, 42784])).
% 9.70/7.14 tff(42786,plain,
% 9.70/7.14 (xuntil6(s326) | (~until5(s326))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12616, 36, 42785])).
% 9.70/7.14 tff(42787,plain,
% 9.70/7.14 (~until5(s326)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42786, 42783])).
% 9.70/7.14 tff(42788,plain,
% 9.70/7.14 (~xuntil6(s325)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12624, 42787])).
% 9.70/7.14 tff(42789,plain,
% 9.70/7.14 (~always3(s325)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12633, 42784])).
% 9.70/7.14 tff(42790,plain,
% 9.70/7.14 (~node4(s325)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12637, 22, 42789])).
% 9.70/7.14 tff(42791,plain,
% 9.70/7.14 (xuntil6(s325) | (~until5(s325))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12644, 36, 42790])).
% 9.70/7.14 tff(42792,plain,
% 9.70/7.14 (~until5(s325)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42791, 42788])).
% 9.70/7.14 tff(42793,plain,
% 9.70/7.14 (~xuntil6(s324)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12653, 42792])).
% 9.70/7.14 tff(42794,plain,
% 9.70/7.14 (~always3(s324)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12662, 42789])).
% 9.70/7.14 tff(42795,plain,
% 9.70/7.14 (~node4(s324)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12666, 22, 42794])).
% 9.70/7.14 tff(42796,plain,
% 9.70/7.14 (xuntil6(s324) | (~until5(s324))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12673, 36, 42795])).
% 9.70/7.14 tff(42797,plain,
% 9.70/7.14 (~until5(s324)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42796, 42793])).
% 9.70/7.14 tff(42798,plain,
% 9.70/7.14 (~xuntil6(s323)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12682, 42797])).
% 9.70/7.14 tff(42799,plain,
% 9.70/7.14 (~always3(s323)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12691, 42794])).
% 9.70/7.14 tff(42800,plain,
% 9.70/7.14 (~node4(s323)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12695, 22, 42799])).
% 9.70/7.14 tff(42801,plain,
% 9.70/7.14 (xuntil6(s323) | (~until5(s323))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12702, 36, 42800])).
% 9.70/7.14 tff(42802,plain,
% 9.70/7.14 (~until5(s323)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42801, 42798])).
% 9.70/7.14 tff(42803,plain,
% 9.70/7.14 (~xuntil6(s322)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12711, 42802])).
% 9.70/7.14 tff(42804,plain,
% 9.70/7.14 (~always3(s322)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12720, 42799])).
% 9.70/7.14 tff(42805,plain,
% 9.70/7.14 (~node4(s322)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12724, 22, 42804])).
% 9.70/7.14 tff(42806,plain,
% 9.70/7.14 (xuntil6(s322) | (~until5(s322))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12731, 36, 42805])).
% 9.70/7.14 tff(42807,plain,
% 9.70/7.14 (~until5(s322)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42806, 42803])).
% 9.70/7.14 tff(42808,plain,
% 9.70/7.14 (~xuntil6(s321)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12740, 42807])).
% 9.70/7.14 tff(42809,plain,
% 9.70/7.14 (~always3(s321)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12749, 42804])).
% 9.70/7.14 tff(42810,plain,
% 9.70/7.14 (~node4(s321)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12753, 22, 42809])).
% 9.70/7.14 tff(42811,plain,
% 9.70/7.14 (xuntil6(s321) | (~until5(s321))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12760, 36, 42810])).
% 9.70/7.14 tff(42812,plain,
% 9.70/7.14 (~until5(s321)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42811, 42808])).
% 9.70/7.14 tff(42813,plain,
% 9.70/7.14 (~xuntil6(s320)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12769, 42812])).
% 9.70/7.14 tff(42814,plain,
% 9.70/7.14 (~always3(s320)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12778, 42809])).
% 9.70/7.14 tff(42815,plain,
% 9.70/7.14 (~node4(s320)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12782, 22, 42814])).
% 9.70/7.14 tff(42816,plain,
% 9.70/7.14 (xuntil6(s320) | (~until5(s320))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12789, 36, 42815])).
% 9.70/7.14 tff(42817,plain,
% 9.70/7.14 (~until5(s320)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42816, 42813])).
% 9.70/7.14 tff(42818,plain,
% 9.70/7.14 (~xuntil6(s319)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12798, 42817])).
% 9.70/7.14 tff(42819,plain,
% 9.70/7.14 (~always3(s319)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12807, 42814])).
% 9.70/7.14 tff(42820,plain,
% 9.70/7.14 (~node4(s319)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12811, 22, 42819])).
% 9.70/7.14 tff(42821,plain,
% 9.70/7.14 (xuntil6(s319) | (~until5(s319))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12818, 36, 42820])).
% 9.70/7.14 tff(42822,plain,
% 9.70/7.14 (~until5(s319)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42821, 42818])).
% 9.70/7.14 tff(42823,plain,
% 9.70/7.14 (~xuntil6(s318)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12827, 42822])).
% 9.70/7.14 tff(42824,plain,
% 9.70/7.14 (~always3(s318)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12836, 42819])).
% 9.70/7.14 tff(42825,plain,
% 9.70/7.14 (~node4(s318)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12840, 22, 42824])).
% 9.70/7.14 tff(42826,plain,
% 9.70/7.14 (xuntil6(s318) | (~until5(s318))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12847, 36, 42825])).
% 9.70/7.14 tff(42827,plain,
% 9.70/7.14 (~until5(s318)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42826, 42823])).
% 9.70/7.14 tff(42828,plain,
% 9.70/7.14 (~xuntil6(s317)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12856, 42827])).
% 9.70/7.14 tff(42829,plain,
% 9.70/7.14 (~always3(s317)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12865, 42824])).
% 9.70/7.14 tff(42830,plain,
% 9.70/7.14 (~node4(s317)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12869, 22, 42829])).
% 9.70/7.14 tff(42831,plain,
% 9.70/7.14 (xuntil6(s317) | (~until5(s317))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12876, 36, 42830])).
% 9.70/7.14 tff(42832,plain,
% 9.70/7.14 (~until5(s317)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42831, 42828])).
% 9.70/7.14 tff(42833,plain,
% 9.70/7.14 (~xuntil6(s316)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12885, 42832])).
% 9.70/7.14 tff(42834,plain,
% 9.70/7.14 (~always3(s316)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12894, 42829])).
% 9.70/7.14 tff(42835,plain,
% 9.70/7.14 (~node4(s316)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12898, 22, 42834])).
% 9.70/7.14 tff(42836,plain,
% 9.70/7.14 (xuntil6(s316) | (~until5(s316))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12905, 36, 42835])).
% 9.70/7.14 tff(42837,plain,
% 9.70/7.14 (~until5(s316)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42836, 42833])).
% 9.70/7.14 tff(42838,plain,
% 9.70/7.14 (~xuntil6(s315)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12911, 42837])).
% 9.70/7.14 tff(42839,plain,
% 9.70/7.14 (~always3(s315)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5133, 42834])).
% 9.70/7.14 tff(42840,plain,
% 9.70/7.14 (~node4(s315)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12916, 22, 42839])).
% 9.70/7.14 tff(42841,plain,
% 9.70/7.14 (xuntil6(s315) | (~until5(s315))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12923, 36, 42840])).
% 9.70/7.14 tff(42842,plain,
% 9.70/7.14 (~until5(s315)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42841, 42838])).
% 9.70/7.14 tff(42843,plain,
% 9.70/7.14 (~xuntil6(s314)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12574, 42842])).
% 9.70/7.14 tff(42844,plain,
% 9.70/7.14 (~always3(s314)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5145, 42839])).
% 9.70/7.14 tff(42845,plain,
% 9.70/7.14 (~node4(s314)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12561, 22, 42844])).
% 9.70/7.14 tff(42846,plain,
% 9.70/7.14 (xuntil6(s314) | (~until5(s314))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12568, 36, 42845])).
% 9.70/7.14 tff(42847,plain,
% 9.70/7.14 (~until5(s314)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42846, 42843])).
% 9.70/7.14 tff(42848,plain,
% 9.70/7.14 (~xuntil6(s313)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12557, 42847])).
% 9.70/7.14 tff(42849,plain,
% 9.70/7.14 (~always3(s313)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5157, 42844])).
% 9.70/7.14 tff(42850,plain,
% 9.70/7.14 (~node4(s313)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12544, 22, 42849])).
% 9.70/7.14 tff(42851,plain,
% 9.70/7.14 (xuntil6(s313) | (~until5(s313))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12551, 36, 42850])).
% 9.70/7.14 tff(42852,plain,
% 9.70/7.14 (~until5(s313)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42851, 42848])).
% 9.70/7.14 tff(42853,plain,
% 9.70/7.14 (~xuntil6(s312)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12540, 42852])).
% 9.70/7.14 tff(42854,plain,
% 9.70/7.14 (~always3(s312)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5169, 42849])).
% 9.70/7.14 tff(42855,plain,
% 9.70/7.14 (~node4(s312)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12527, 22, 42854])).
% 9.70/7.14 tff(42856,plain,
% 9.70/7.14 (xuntil6(s312) | (~until5(s312))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12534, 36, 42855])).
% 9.70/7.14 tff(42857,plain,
% 9.70/7.14 (~until5(s312)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42856, 42853])).
% 9.70/7.14 tff(42858,plain,
% 9.70/7.14 (~xuntil6(s311)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12523, 42857])).
% 9.70/7.14 tff(42859,plain,
% 9.70/7.14 (~always3(s311)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5181, 42854])).
% 9.70/7.14 tff(42860,plain,
% 9.70/7.14 (~node4(s311)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12510, 22, 42859])).
% 9.70/7.14 tff(42861,plain,
% 9.70/7.14 (xuntil6(s311) | (~until5(s311))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12517, 36, 42860])).
% 9.70/7.14 tff(42862,plain,
% 9.70/7.14 (~until5(s311)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42861, 42858])).
% 9.70/7.14 tff(42863,plain,
% 9.70/7.14 (~xuntil6(s310)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12506, 42862])).
% 9.70/7.14 tff(42864,plain,
% 9.70/7.14 (~always3(s310)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5193, 42859])).
% 9.70/7.14 tff(42865,plain,
% 9.70/7.14 (~node4(s310)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12493, 22, 42864])).
% 9.70/7.14 tff(42866,plain,
% 9.70/7.14 (xuntil6(s310) | (~until5(s310))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12500, 36, 42865])).
% 9.70/7.14 tff(42867,plain,
% 9.70/7.14 (~until5(s310)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42866, 42863])).
% 9.70/7.14 tff(42868,plain,
% 9.70/7.14 (~xuntil6(s309)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12489, 42867])).
% 9.70/7.14 tff(42869,plain,
% 9.70/7.14 (~always3(s309)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5205, 42864])).
% 9.70/7.14 tff(42870,plain,
% 9.70/7.14 (~node4(s309)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12476, 22, 42869])).
% 9.70/7.14 tff(42871,plain,
% 9.70/7.14 (xuntil6(s309) | (~until5(s309))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12483, 36, 42870])).
% 9.70/7.14 tff(42872,plain,
% 9.70/7.14 (~until5(s309)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42871, 42868])).
% 9.70/7.14 tff(42873,plain,
% 9.70/7.14 (~xuntil6(s308)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12472, 42872])).
% 9.70/7.14 tff(42874,plain,
% 9.70/7.14 (~always3(s308)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5217, 42869])).
% 9.70/7.14 tff(42875,plain,
% 9.70/7.14 (~node4(s308)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12459, 22, 42874])).
% 9.70/7.14 tff(42876,plain,
% 9.70/7.14 (xuntil6(s308) | (~until5(s308))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12466, 36, 42875])).
% 9.70/7.14 tff(42877,plain,
% 9.70/7.14 (~until5(s308)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42876, 42873])).
% 9.70/7.14 tff(42878,plain,
% 9.70/7.14 (~xuntil6(s307)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12455, 42877])).
% 9.70/7.14 tff(42879,plain,
% 9.70/7.14 (~always3(s307)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5229, 42874])).
% 9.70/7.14 tff(42880,plain,
% 9.70/7.14 (~node4(s307)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12442, 22, 42879])).
% 9.70/7.14 tff(42881,plain,
% 9.70/7.14 (xuntil6(s307) | (~until5(s307))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12449, 36, 42880])).
% 9.70/7.14 tff(42882,plain,
% 9.70/7.14 (~until5(s307)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42881, 42878])).
% 9.70/7.14 tff(42883,plain,
% 9.70/7.14 (~xuntil6(s306)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12438, 42882])).
% 9.70/7.14 tff(42884,plain,
% 9.70/7.14 (~always3(s306)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5241, 42879])).
% 9.70/7.14 tff(42885,plain,
% 9.70/7.14 (~node4(s306)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12425, 22, 42884])).
% 9.70/7.14 tff(42886,plain,
% 9.70/7.14 (xuntil6(s306) | (~until5(s306))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12432, 36, 42885])).
% 9.70/7.14 tff(42887,plain,
% 9.70/7.14 (~until5(s306)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42886, 42883])).
% 9.70/7.14 tff(42888,plain,
% 9.70/7.14 (~xuntil6(s305)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12421, 42887])).
% 9.70/7.14 tff(42889,plain,
% 9.70/7.14 (~always3(s305)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5253, 42884])).
% 9.70/7.14 tff(42890,plain,
% 9.70/7.14 (~node4(s305)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12408, 22, 42889])).
% 9.70/7.14 tff(42891,plain,
% 9.70/7.14 (xuntil6(s305) | (~until5(s305))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12415, 36, 42890])).
% 9.70/7.14 tff(42892,plain,
% 9.70/7.14 (~until5(s305)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42891, 42888])).
% 9.70/7.14 tff(42893,plain,
% 9.70/7.14 (~xuntil6(s304)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12404, 42892])).
% 9.70/7.14 tff(42894,plain,
% 9.70/7.14 (~always3(s304)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5265, 42889])).
% 9.70/7.14 tff(42895,plain,
% 9.70/7.14 (~node4(s304)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12391, 22, 42894])).
% 9.70/7.14 tff(42896,plain,
% 9.70/7.14 (xuntil6(s304) | (~until5(s304))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12398, 36, 42895])).
% 9.70/7.14 tff(42897,plain,
% 9.70/7.14 (~until5(s304)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42896, 42893])).
% 9.70/7.14 tff(42898,plain,
% 9.70/7.14 (~xuntil6(s303)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12387, 42897])).
% 9.70/7.14 tff(42899,plain,
% 9.70/7.14 (~always3(s303)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5277, 42894])).
% 9.70/7.14 tff(42900,plain,
% 9.70/7.14 (~node4(s303)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12374, 22, 42899])).
% 9.70/7.14 tff(42901,plain,
% 9.70/7.14 (xuntil6(s303) | (~until5(s303))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12381, 36, 42900])).
% 9.70/7.14 tff(42902,plain,
% 9.70/7.14 (~until5(s303)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42901, 42898])).
% 9.70/7.14 tff(42903,plain,
% 9.70/7.14 (~xuntil6(s302)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12370, 42902])).
% 9.70/7.14 tff(42904,plain,
% 9.70/7.14 (~always3(s302)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5289, 42899])).
% 9.70/7.14 tff(42905,plain,
% 9.70/7.14 (~node4(s302)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12357, 22, 42904])).
% 9.70/7.14 tff(42906,plain,
% 9.70/7.14 (xuntil6(s302) | (~until5(s302))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12364, 36, 42905])).
% 9.70/7.14 tff(42907,plain,
% 9.70/7.14 (~until5(s302)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42906, 42903])).
% 9.70/7.14 tff(42908,plain,
% 9.70/7.14 (~xuntil6(s301)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12353, 42907])).
% 9.70/7.14 tff(42909,plain,
% 9.70/7.14 (~always3(s301)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5301, 42904])).
% 9.70/7.14 tff(42910,plain,
% 9.70/7.14 (~node4(s301)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12340, 22, 42909])).
% 9.70/7.14 tff(42911,plain,
% 9.70/7.14 (xuntil6(s301) | (~until5(s301))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12347, 36, 42910])).
% 9.70/7.14 tff(42912,plain,
% 9.70/7.14 (~until5(s301)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42911, 42908])).
% 9.70/7.14 tff(42913,plain,
% 9.70/7.14 (~xuntil6(s300)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12336, 42912])).
% 9.70/7.14 tff(42914,plain,
% 9.70/7.14 (~always3(s300)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5313, 42909])).
% 9.70/7.14 tff(42915,plain,
% 9.70/7.14 (~node4(s300)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12323, 22, 42914])).
% 9.70/7.14 tff(42916,plain,
% 9.70/7.14 (xuntil6(s300) | (~until5(s300))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12330, 36, 42915])).
% 9.70/7.14 tff(42917,plain,
% 9.70/7.14 (~until5(s300)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42916, 42913])).
% 9.70/7.14 tff(42918,plain,
% 9.70/7.14 (~xuntil6(s299)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12319, 42917])).
% 9.70/7.14 tff(42919,plain,
% 9.70/7.14 (~always3(s299)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5325, 42914])).
% 9.70/7.14 tff(42920,plain,
% 9.70/7.14 (~node4(s299)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12306, 22, 42919])).
% 9.70/7.14 tff(42921,plain,
% 9.70/7.14 (xuntil6(s299) | (~until5(s299))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12313, 36, 42920])).
% 9.70/7.14 tff(42922,plain,
% 9.70/7.14 (~until5(s299)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42921, 42918])).
% 9.70/7.14 tff(42923,plain,
% 9.70/7.14 (~xuntil6(s298)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12302, 42922])).
% 9.70/7.14 tff(42924,plain,
% 9.70/7.14 (~always3(s298)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5337, 42919])).
% 9.70/7.14 tff(42925,plain,
% 9.70/7.14 (~node4(s298)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12289, 22, 42924])).
% 9.70/7.14 tff(42926,plain,
% 9.70/7.14 (xuntil6(s298) | (~until5(s298))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12296, 36, 42925])).
% 9.70/7.14 tff(42927,plain,
% 9.70/7.14 (~until5(s298)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42926, 42923])).
% 9.70/7.14 tff(42928,plain,
% 9.70/7.14 (~xuntil6(s297)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12285, 42927])).
% 9.70/7.14 tff(42929,plain,
% 9.70/7.14 (~always3(s297)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5349, 42924])).
% 9.70/7.14 tff(42930,plain,
% 9.70/7.14 (~node4(s297)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12272, 22, 42929])).
% 9.70/7.14 tff(42931,plain,
% 9.70/7.14 (xuntil6(s297) | (~until5(s297))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12279, 36, 42930])).
% 9.70/7.14 tff(42932,plain,
% 9.70/7.14 (~until5(s297)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42931, 42928])).
% 9.70/7.14 tff(42933,plain,
% 9.70/7.14 (~xuntil6(s296)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12268, 42932])).
% 9.70/7.14 tff(42934,plain,
% 9.70/7.14 (~always3(s296)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5361, 42929])).
% 9.70/7.14 tff(42935,plain,
% 9.70/7.14 (~node4(s296)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12255, 22, 42934])).
% 9.70/7.14 tff(42936,plain,
% 9.70/7.14 (xuntil6(s296) | (~until5(s296))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12262, 36, 42935])).
% 9.70/7.14 tff(42937,plain,
% 9.70/7.14 (~until5(s296)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42936, 42933])).
% 9.70/7.14 tff(42938,plain,
% 9.70/7.14 (~xuntil6(s295)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12251, 42937])).
% 9.70/7.14 tff(42939,plain,
% 9.70/7.14 (~always3(s295)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5373, 42934])).
% 9.70/7.14 tff(42940,plain,
% 9.70/7.14 (~node4(s295)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12238, 22, 42939])).
% 9.70/7.14 tff(42941,plain,
% 9.70/7.14 (xuntil6(s295) | (~until5(s295))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12245, 36, 42940])).
% 9.70/7.14 tff(42942,plain,
% 9.70/7.14 (~until5(s295)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42941, 42938])).
% 9.70/7.14 tff(42943,plain,
% 9.70/7.14 (~xuntil6(s294)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12234, 42942])).
% 9.70/7.14 tff(42944,plain,
% 9.70/7.14 (~always3(s294)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5385, 42939])).
% 9.70/7.14 tff(42945,plain,
% 9.70/7.14 (~node4(s294)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12221, 22, 42944])).
% 9.70/7.14 tff(42946,plain,
% 9.70/7.14 (xuntil6(s294) | (~until5(s294))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12228, 36, 42945])).
% 9.70/7.14 tff(42947,plain,
% 9.70/7.14 (~until5(s294)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42946, 42943])).
% 9.70/7.14 tff(42948,plain,
% 9.70/7.14 (~xuntil6(s293)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12217, 42947])).
% 9.70/7.14 tff(42949,plain,
% 9.70/7.14 (~always3(s293)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5397, 42944])).
% 9.70/7.14 tff(42950,plain,
% 9.70/7.14 (~node4(s293)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12204, 22, 42949])).
% 9.70/7.14 tff(42951,plain,
% 9.70/7.14 (xuntil6(s293) | (~until5(s293))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12211, 36, 42950])).
% 9.70/7.14 tff(42952,plain,
% 9.70/7.14 (~until5(s293)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42951, 42948])).
% 9.70/7.14 tff(42953,plain,
% 9.70/7.14 (~xuntil6(s292)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12200, 42952])).
% 9.70/7.14 tff(42954,plain,
% 9.70/7.14 (~always3(s292)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5409, 42949])).
% 9.70/7.14 tff(42955,plain,
% 9.70/7.14 (~node4(s292)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12187, 22, 42954])).
% 9.70/7.14 tff(42956,plain,
% 9.70/7.14 (xuntil6(s292) | (~until5(s292))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12194, 36, 42955])).
% 9.70/7.14 tff(42957,plain,
% 9.70/7.14 (~until5(s292)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42956, 42953])).
% 9.70/7.14 tff(42958,plain,
% 9.70/7.14 (~xuntil6(s291)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12183, 42957])).
% 9.70/7.14 tff(42959,plain,
% 9.70/7.14 (~always3(s291)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5421, 42954])).
% 9.70/7.14 tff(42960,plain,
% 9.70/7.14 (~node4(s291)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12170, 22, 42959])).
% 9.70/7.14 tff(42961,plain,
% 9.70/7.14 (xuntil6(s291) | (~until5(s291))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12177, 36, 42960])).
% 9.70/7.14 tff(42962,plain,
% 9.70/7.14 (~until5(s291)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42961, 42958])).
% 9.70/7.14 tff(42963,plain,
% 9.70/7.14 (~xuntil6(s290)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12166, 42962])).
% 9.70/7.14 tff(42964,plain,
% 9.70/7.14 (~always3(s290)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5433, 42959])).
% 9.70/7.14 tff(42965,plain,
% 9.70/7.14 (~node4(s290)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12153, 22, 42964])).
% 9.70/7.14 tff(42966,plain,
% 9.70/7.14 (xuntil6(s290) | (~until5(s290))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12160, 36, 42965])).
% 9.70/7.14 tff(42967,plain,
% 9.70/7.14 (~until5(s290)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42966, 42963])).
% 9.70/7.14 tff(42968,plain,
% 9.70/7.14 (~xuntil6(s289)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12149, 42967])).
% 9.70/7.14 tff(42969,plain,
% 9.70/7.14 (~always3(s289)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5445, 42964])).
% 9.70/7.14 tff(42970,plain,
% 9.70/7.14 (~node4(s289)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12136, 22, 42969])).
% 9.70/7.14 tff(42971,plain,
% 9.70/7.14 (xuntil6(s289) | (~until5(s289))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12143, 36, 42970])).
% 9.70/7.14 tff(42972,plain,
% 9.70/7.14 (~until5(s289)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42971, 42968])).
% 9.70/7.14 tff(42973,plain,
% 9.70/7.14 (~xuntil6(s288)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12132, 42972])).
% 9.70/7.14 tff(42974,plain,
% 9.70/7.14 (~always3(s288)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5457, 42969])).
% 9.70/7.14 tff(42975,plain,
% 9.70/7.14 (~node4(s288)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12119, 22, 42974])).
% 9.70/7.14 tff(42976,plain,
% 9.70/7.14 (xuntil6(s288) | (~until5(s288))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12126, 36, 42975])).
% 9.70/7.14 tff(42977,plain,
% 9.70/7.14 (~until5(s288)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42976, 42973])).
% 9.70/7.14 tff(42978,plain,
% 9.70/7.14 (~xuntil6(s287)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12115, 42977])).
% 9.70/7.14 tff(42979,plain,
% 9.70/7.14 (~always3(s287)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5469, 42974])).
% 9.70/7.14 tff(42980,plain,
% 9.70/7.14 (~node4(s287)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12102, 22, 42979])).
% 9.70/7.14 tff(42981,plain,
% 9.70/7.14 (xuntil6(s287) | (~until5(s287))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12109, 36, 42980])).
% 9.70/7.14 tff(42982,plain,
% 9.70/7.14 (~until5(s287)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42981, 42978])).
% 9.70/7.14 tff(42983,plain,
% 9.70/7.14 (~xuntil6(s286)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12098, 42982])).
% 9.70/7.14 tff(42984,plain,
% 9.70/7.14 (~always3(s286)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5481, 42979])).
% 9.70/7.14 tff(42985,plain,
% 9.70/7.14 (~node4(s286)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12085, 22, 42984])).
% 9.70/7.14 tff(42986,plain,
% 9.70/7.14 (xuntil6(s286) | (~until5(s286))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12092, 36, 42985])).
% 9.70/7.14 tff(42987,plain,
% 9.70/7.14 (~until5(s286)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42986, 42983])).
% 9.70/7.14 tff(42988,plain,
% 9.70/7.14 (~xuntil6(s285)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12081, 42987])).
% 9.70/7.14 tff(42989,plain,
% 9.70/7.14 (~always3(s285)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5493, 42984])).
% 9.70/7.14 tff(42990,plain,
% 9.70/7.14 (~node4(s285)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12068, 22, 42989])).
% 9.70/7.14 tff(42991,plain,
% 9.70/7.14 (xuntil6(s285) | (~until5(s285))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12075, 36, 42990])).
% 9.70/7.14 tff(42992,plain,
% 9.70/7.14 (~until5(s285)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42991, 42988])).
% 9.70/7.14 tff(42993,plain,
% 9.70/7.14 (~xuntil6(s284)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12064, 42992])).
% 9.70/7.14 tff(42994,plain,
% 9.70/7.14 (~always3(s284)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5505, 42989])).
% 9.70/7.14 tff(42995,plain,
% 9.70/7.14 (~node4(s284)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12051, 22, 42994])).
% 9.70/7.14 tff(42996,plain,
% 9.70/7.14 (xuntil6(s284) | (~until5(s284))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12058, 36, 42995])).
% 9.70/7.14 tff(42997,plain,
% 9.70/7.14 (~until5(s284)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[42996, 42993])).
% 9.70/7.14 tff(42998,plain,
% 9.70/7.14 (~xuntil6(s283)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12047, 42997])).
% 9.70/7.14 tff(42999,plain,
% 9.70/7.14 (~always3(s283)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5517, 42994])).
% 9.70/7.14 tff(43000,plain,
% 9.70/7.14 (~node4(s283)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12034, 22, 42999])).
% 9.70/7.14 tff(43001,plain,
% 9.70/7.14 (xuntil6(s283) | (~until5(s283))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12041, 36, 43000])).
% 9.70/7.14 tff(43002,plain,
% 9.70/7.14 (~until5(s283)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43001, 42998])).
% 9.70/7.14 tff(43003,plain,
% 9.70/7.14 (~xuntil6(s282)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12030, 43002])).
% 9.70/7.14 tff(43004,plain,
% 9.70/7.14 (~always3(s282)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5529, 42999])).
% 9.70/7.14 tff(43005,plain,
% 9.70/7.14 (~node4(s282)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12017, 22, 43004])).
% 9.70/7.14 tff(43006,plain,
% 9.70/7.14 (xuntil6(s282) | (~until5(s282))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12024, 36, 43005])).
% 9.70/7.14 tff(43007,plain,
% 9.70/7.14 (~until5(s282)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43006, 43003])).
% 9.70/7.14 tff(43008,plain,
% 9.70/7.14 (~xuntil6(s281)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12013, 43007])).
% 9.70/7.14 tff(43009,plain,
% 9.70/7.14 (~always3(s281)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5541, 43004])).
% 9.70/7.14 tff(43010,plain,
% 9.70/7.14 (~node4(s281)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12000, 22, 43009])).
% 9.70/7.14 tff(43011,plain,
% 9.70/7.14 (xuntil6(s281) | (~until5(s281))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[12007, 36, 43010])).
% 9.70/7.14 tff(43012,plain,
% 9.70/7.14 (~until5(s281)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43011, 43008])).
% 9.70/7.14 tff(43013,plain,
% 9.70/7.14 (~xuntil6(s280)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11996, 43012])).
% 9.70/7.14 tff(43014,plain,
% 9.70/7.14 (~always3(s280)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5553, 43009])).
% 9.70/7.14 tff(43015,plain,
% 9.70/7.14 (~node4(s280)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11983, 22, 43014])).
% 9.70/7.14 tff(43016,plain,
% 9.70/7.14 (xuntil6(s280) | (~until5(s280))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11990, 36, 43015])).
% 9.70/7.14 tff(43017,plain,
% 9.70/7.14 (~until5(s280)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43016, 43013])).
% 9.70/7.14 tff(43018,plain,
% 9.70/7.14 (~xuntil6(s279)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11979, 43017])).
% 9.70/7.14 tff(43019,plain,
% 9.70/7.14 (~always3(s279)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5565, 43014])).
% 9.70/7.14 tff(43020,plain,
% 9.70/7.14 (~node4(s279)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11966, 22, 43019])).
% 9.70/7.14 tff(43021,plain,
% 9.70/7.14 (xuntil6(s279) | (~until5(s279))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11973, 36, 43020])).
% 9.70/7.14 tff(43022,plain,
% 9.70/7.14 (~until5(s279)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43021, 43018])).
% 9.70/7.14 tff(43023,plain,
% 9.70/7.14 (~xuntil6(s278)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11962, 43022])).
% 9.70/7.14 tff(43024,plain,
% 9.70/7.14 (~always3(s278)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5577, 43019])).
% 9.70/7.14 tff(43025,plain,
% 9.70/7.14 (~node4(s278)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11949, 22, 43024])).
% 9.70/7.14 tff(43026,plain,
% 9.70/7.14 (xuntil6(s278) | (~until5(s278))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11956, 36, 43025])).
% 9.70/7.14 tff(43027,plain,
% 9.70/7.14 (~until5(s278)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43026, 43023])).
% 9.70/7.14 tff(43028,plain,
% 9.70/7.14 (~xuntil6(s277)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11945, 43027])).
% 9.70/7.14 tff(43029,plain,
% 9.70/7.14 (~always3(s277)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5589, 43024])).
% 9.70/7.14 tff(43030,plain,
% 9.70/7.14 (~node4(s277)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11932, 22, 43029])).
% 9.70/7.14 tff(43031,plain,
% 9.70/7.14 (xuntil6(s277) | (~until5(s277))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11939, 36, 43030])).
% 9.70/7.14 tff(43032,plain,
% 9.70/7.14 (~until5(s277)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43031, 43028])).
% 9.70/7.14 tff(43033,plain,
% 9.70/7.14 (~xuntil6(s276)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11928, 43032])).
% 9.70/7.14 tff(43034,plain,
% 9.70/7.14 (~always3(s276)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5601, 43029])).
% 9.70/7.14 tff(43035,plain,
% 9.70/7.14 (~node4(s276)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11915, 22, 43034])).
% 9.70/7.14 tff(43036,plain,
% 9.70/7.14 (xuntil6(s276) | (~until5(s276))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11922, 36, 43035])).
% 9.70/7.14 tff(43037,plain,
% 9.70/7.14 (~until5(s276)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43036, 43033])).
% 9.70/7.14 tff(43038,plain,
% 9.70/7.14 (~xuntil6(s275)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11911, 43037])).
% 9.70/7.14 tff(43039,plain,
% 9.70/7.14 (~always3(s275)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5613, 43034])).
% 9.70/7.14 tff(43040,plain,
% 9.70/7.14 (~node4(s275)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11898, 22, 43039])).
% 9.70/7.14 tff(43041,plain,
% 9.70/7.14 (xuntil6(s275) | (~until5(s275))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11905, 36, 43040])).
% 9.70/7.14 tff(43042,plain,
% 9.70/7.14 (~until5(s275)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43041, 43038])).
% 9.70/7.14 tff(43043,plain,
% 9.70/7.14 (~xuntil6(s274)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11894, 43042])).
% 9.70/7.14 tff(43044,plain,
% 9.70/7.14 (~always3(s274)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5625, 43039])).
% 9.70/7.14 tff(43045,plain,
% 9.70/7.14 (~node4(s274)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11881, 22, 43044])).
% 9.70/7.14 tff(43046,plain,
% 9.70/7.14 (xuntil6(s274) | (~until5(s274))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11888, 36, 43045])).
% 9.70/7.14 tff(43047,plain,
% 9.70/7.14 (~until5(s274)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43046, 43043])).
% 9.70/7.14 tff(43048,plain,
% 9.70/7.14 (~xuntil6(s273)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11877, 43047])).
% 9.70/7.14 tff(43049,plain,
% 9.70/7.14 (~always3(s273)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5637, 43044])).
% 9.70/7.14 tff(43050,plain,
% 9.70/7.14 (~node4(s273)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11864, 22, 43049])).
% 9.70/7.14 tff(43051,plain,
% 9.70/7.14 (xuntil6(s273) | (~until5(s273))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11871, 36, 43050])).
% 9.70/7.14 tff(43052,plain,
% 9.70/7.14 (~until5(s273)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43051, 43048])).
% 9.70/7.14 tff(43053,plain,
% 9.70/7.14 (~always3(s272)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5649, 43049])).
% 9.70/7.14 tff(43054,plain,
% 9.70/7.14 (~always3(s271)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5661, 43053])).
% 9.70/7.14 tff(43055,plain,
% 9.70/7.14 (~always3(s270)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5673, 43054])).
% 9.70/7.14 tff(43056,plain,
% 9.70/7.14 (~always3(s269)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5685, 43055])).
% 9.70/7.14 tff(43057,plain,
% 9.70/7.14 (~always3(s268)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5697, 43056])).
% 9.70/7.14 tff(43058,plain,
% 9.70/7.14 (~always3(s267)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5709, 43057])).
% 9.70/7.14 tff(43059,plain,
% 9.70/7.14 (~always3(s266)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5721, 43058])).
% 9.70/7.14 tff(43060,plain,
% 9.70/7.14 (~always3(s265)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5733, 43059])).
% 9.70/7.14 tff(43061,plain,
% 9.70/7.14 (~always3(s264)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5745, 43060])).
% 9.70/7.14 tff(43062,plain,
% 9.70/7.14 (~always3(s263)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5757, 43061])).
% 9.70/7.14 tff(43063,plain,
% 9.70/7.14 (~always3(s262)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5769, 43062])).
% 9.70/7.14 tff(43064,plain,
% 9.70/7.14 (~always3(s261)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5781, 43063])).
% 9.70/7.14 tff(43065,plain,
% 9.70/7.14 (~always3(s260)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5793, 43064])).
% 9.70/7.14 tff(43066,plain,
% 9.70/7.14 (~always3(s259)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5805, 43065])).
% 9.70/7.14 tff(43067,plain,
% 9.70/7.14 (~always3(s258)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5817, 43066])).
% 9.70/7.14 tff(43068,plain,
% 9.70/7.14 (~always3(s257)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5829, 43067])).
% 9.70/7.14 tff(43069,plain,
% 9.70/7.14 (~always3(s256)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5841, 43068])).
% 9.70/7.14 tff(43070,plain,
% 9.70/7.14 (~always3(s255)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5853, 43069])).
% 9.70/7.14 tff(43071,plain,
% 9.70/7.14 (~always3(s254)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5865, 43070])).
% 9.70/7.14 tff(43072,plain,
% 9.70/7.14 (~always3(s253)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5092, 43071])).
% 9.70/7.14 tff(43073,plain,
% 9.70/7.14 (~always3(s252)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5878, 43072])).
% 9.70/7.14 tff(43074,plain,
% 9.70/7.14 (~always3(s251)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5890, 43073])).
% 9.70/7.14 tff(43075,plain,
% 9.70/7.14 (~always3(s250)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5902, 43074])).
% 9.70/7.14 tff(43076,plain,
% 9.70/7.14 (~always3(s249)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5914, 43075])).
% 9.70/7.14 tff(43077,plain,
% 9.70/7.14 (~always3(s248)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5926, 43076])).
% 9.70/7.14 tff(43078,plain,
% 9.70/7.14 (~always3(s247)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5938, 43077])).
% 9.70/7.14 tff(43079,plain,
% 9.70/7.14 (~always3(s246)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5950, 43078])).
% 9.70/7.14 tff(43080,plain,
% 9.70/7.14 (~always3(s245)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5962, 43079])).
% 9.70/7.14 tff(43081,plain,
% 9.70/7.14 (~always3(s244)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5974, 43080])).
% 9.70/7.14 tff(43082,plain,
% 9.70/7.14 (~always3(s243)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5986, 43081])).
% 9.70/7.14 tff(43083,plain,
% 9.70/7.14 (~always3(s242)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5998, 43082])).
% 9.70/7.14 tff(43084,plain,
% 9.70/7.14 (~always3(s241)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6010, 43083])).
% 9.70/7.14 tff(43085,plain,
% 9.70/7.14 (~always3(s240)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6022, 43084])).
% 9.70/7.14 tff(43086,plain,
% 9.70/7.14 (~always3(s239)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6034, 43085])).
% 9.70/7.14 tff(43087,plain,
% 9.70/7.14 (~always3(s238)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6046, 43086])).
% 9.70/7.14 tff(43088,plain,
% 9.70/7.14 (~always3(s237)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6058, 43087])).
% 9.70/7.14 tff(43089,plain,
% 9.70/7.14 (~always3(s236)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6070, 43088])).
% 9.70/7.14 tff(43090,plain,
% 9.70/7.14 (~always3(s235)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6082, 43089])).
% 9.70/7.14 tff(43091,plain,
% 9.70/7.14 (~always3(s234)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6094, 43090])).
% 9.70/7.14 tff(43092,plain,
% 9.70/7.14 (~always3(s233)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6106, 43091])).
% 9.70/7.14 tff(43093,plain,
% 9.70/7.14 (~always3(s232)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6118, 43092])).
% 9.70/7.14 tff(43094,plain,
% 9.70/7.14 (~always3(s231)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6130, 43093])).
% 9.70/7.14 tff(43095,plain,
% 9.70/7.14 (~always3(s230)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6142, 43094])).
% 9.70/7.14 tff(43096,plain,
% 9.70/7.14 (~always3(s229)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6154, 43095])).
% 9.70/7.14 tff(43097,plain,
% 9.70/7.14 (~always3(s228)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6166, 43096])).
% 9.70/7.14 tff(43098,plain,
% 9.70/7.14 (~always3(s227)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6178, 43097])).
% 9.70/7.14 tff(43099,plain,
% 9.70/7.14 (~always3(s226)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6190, 43098])).
% 9.70/7.14 tff(43100,plain,
% 9.70/7.14 (~always3(s225)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6202, 43099])).
% 9.70/7.14 tff(43101,plain,
% 9.70/7.14 (~always3(s224)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6214, 43100])).
% 9.70/7.14 tff(43102,plain,
% 9.70/7.14 (~always3(s223)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6226, 43101])).
% 9.70/7.14 tff(43103,plain,
% 9.70/7.14 (~always3(s222)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6238, 43102])).
% 9.70/7.14 tff(43104,plain,
% 9.70/7.14 (~always3(s221)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6250, 43103])).
% 9.70/7.14 tff(43105,plain,
% 9.70/7.14 (~always3(s220)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6262, 43104])).
% 9.70/7.14 tff(43106,plain,
% 9.70/7.14 (~always3(s219)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6274, 43105])).
% 9.70/7.14 tff(43107,plain,
% 9.70/7.14 (~always3(s218)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6286, 43106])).
% 9.70/7.14 tff(43108,plain,
% 9.70/7.14 (~always3(s217)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6298, 43107])).
% 9.70/7.14 tff(43109,plain,
% 9.70/7.14 (~node4(s217)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6302, 22, 43108])).
% 9.70/7.14 tff(43110,plain,
% 9.70/7.14 (~always3(s216)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6314, 43108])).
% 9.70/7.14 tff(43111,plain,
% 9.70/7.14 (~node4(s216)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6318, 22, 43110])).
% 9.70/7.14 tff(43112,plain,
% 9.70/7.14 (~always3(s215)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[6331, 43110])).
% 9.70/7.14 tff(43113,plain,
% 9.70/7.14 (xuntil6(s215)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[10898, 43112, 6320])).
% 9.70/7.14 tff(43114,plain,
% 9.70/7.14 (until5(s216)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[10903, 43113])).
% 9.70/7.14 tff(43115,plain,
% 9.70/7.14 (xuntil6(s216) | node4(s216)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[10910, 36, 43114])).
% 9.70/7.14 tff(43116,plain,
% 9.70/7.14 (xuntil6(s216)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43115, 43111])).
% 9.70/7.14 tff(43117,plain,
% 9.70/7.14 (until5(s217)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[10916, 43116])).
% 9.70/7.14 tff(43118,plain,
% 9.70/7.14 (xuntil6(s217)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[10923, 36, 43117, 43109])).
% 9.70/7.14 tff(43119,plain,
% 9.70/7.14 (until5(s218)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[10928, 43118])).
% 9.70/7.14 tff(43120,plain,
% 9.70/7.14 (~node4(s218)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[10932, 22, 43107])).
% 9.70/7.14 tff(43121,plain,
% 9.70/7.14 (xuntil6(s218) | (~until5(s218))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[10939, 36, 43120])).
% 9.70/7.14 tff(43122,plain,
% 9.70/7.14 (xuntil6(s218)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43121, 43119])).
% 9.70/7.14 tff(43123,plain,
% 9.70/7.14 (until5(s219)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[10945, 43122])).
% 9.70/7.14 tff(43124,plain,
% 9.70/7.14 (~node4(s219)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[10949, 22, 43106])).
% 9.70/7.14 tff(43125,plain,
% 9.70/7.14 (xuntil6(s219) | (~until5(s219))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[10956, 36, 43124])).
% 9.70/7.14 tff(43126,plain,
% 9.70/7.14 (xuntil6(s219)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43125, 43123])).
% 9.70/7.14 tff(43127,plain,
% 9.70/7.14 (until5(s220)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[10962, 43126])).
% 9.70/7.14 tff(43128,plain,
% 9.70/7.14 (~node4(s220)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[10966, 22, 43105])).
% 9.70/7.14 tff(43129,plain,
% 9.70/7.14 (xuntil6(s220) | (~until5(s220))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[10973, 36, 43128])).
% 9.70/7.14 tff(43130,plain,
% 9.70/7.14 (xuntil6(s220)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43129, 43127])).
% 9.70/7.14 tff(43131,plain,
% 9.70/7.14 (until5(s221)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[10979, 43130])).
% 9.70/7.14 tff(43132,plain,
% 9.70/7.14 (~node4(s221)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[10983, 22, 43104])).
% 9.70/7.14 tff(43133,plain,
% 9.70/7.14 (xuntil6(s221) | (~until5(s221))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[10990, 36, 43132])).
% 9.70/7.14 tff(43134,plain,
% 9.70/7.14 (xuntil6(s221)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43133, 43131])).
% 9.70/7.14 tff(43135,plain,
% 9.70/7.14 (until5(s222)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[10996, 43134])).
% 9.70/7.14 tff(43136,plain,
% 9.70/7.14 (~node4(s222)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11000, 22, 43103])).
% 9.70/7.14 tff(43137,plain,
% 9.70/7.14 (xuntil6(s222) | (~until5(s222))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11007, 36, 43136])).
% 9.70/7.14 tff(43138,plain,
% 9.70/7.14 (xuntil6(s222)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43137, 43135])).
% 9.70/7.14 tff(43139,plain,
% 9.70/7.14 (until5(s223)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11013, 43138])).
% 9.70/7.14 tff(43140,plain,
% 9.70/7.14 (~node4(s223)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11017, 22, 43102])).
% 9.70/7.14 tff(43141,plain,
% 9.70/7.14 (xuntil6(s223) | (~until5(s223))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11024, 36, 43140])).
% 9.70/7.14 tff(43142,plain,
% 9.70/7.14 (xuntil6(s223)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43141, 43139])).
% 9.70/7.14 tff(43143,plain,
% 9.70/7.14 (until5(s224)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11030, 43142])).
% 9.70/7.14 tff(43144,plain,
% 9.70/7.14 (~node4(s224)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11034, 22, 43101])).
% 9.70/7.14 tff(43145,plain,
% 9.70/7.14 (xuntil6(s224) | (~until5(s224))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11041, 36, 43144])).
% 9.70/7.14 tff(43146,plain,
% 9.70/7.14 (xuntil6(s224)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43145, 43143])).
% 9.70/7.14 tff(43147,plain,
% 9.70/7.14 (until5(s225)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11047, 43146])).
% 9.70/7.14 tff(43148,plain,
% 9.70/7.14 (~node4(s225)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11051, 22, 43100])).
% 9.70/7.14 tff(43149,plain,
% 9.70/7.14 (xuntil6(s225) | (~until5(s225))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11058, 36, 43148])).
% 9.70/7.14 tff(43150,plain,
% 9.70/7.14 (xuntil6(s225)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43149, 43147])).
% 9.70/7.14 tff(43151,plain,
% 9.70/7.14 (until5(s226)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11064, 43150])).
% 9.70/7.14 tff(43152,plain,
% 9.70/7.14 (~node4(s226)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11068, 22, 43099])).
% 9.70/7.14 tff(43153,plain,
% 9.70/7.14 (xuntil6(s226) | (~until5(s226))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11075, 36, 43152])).
% 9.70/7.14 tff(43154,plain,
% 9.70/7.14 (xuntil6(s226)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43153, 43151])).
% 9.70/7.14 tff(43155,plain,
% 9.70/7.14 (until5(s227)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11081, 43154])).
% 9.70/7.14 tff(43156,plain,
% 9.70/7.14 (~node4(s227)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11085, 22, 43098])).
% 9.70/7.14 tff(43157,plain,
% 9.70/7.14 (xuntil6(s227) | (~until5(s227))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11092, 36, 43156])).
% 9.70/7.14 tff(43158,plain,
% 9.70/7.14 (xuntil6(s227)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43157, 43155])).
% 9.70/7.14 tff(43159,plain,
% 9.70/7.14 (until5(s228)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11098, 43158])).
% 9.70/7.14 tff(43160,plain,
% 9.70/7.14 (~node4(s228)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11102, 22, 43097])).
% 9.70/7.14 tff(43161,plain,
% 9.70/7.14 (xuntil6(s228) | (~until5(s228))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11109, 36, 43160])).
% 9.70/7.14 tff(43162,plain,
% 9.70/7.14 (xuntil6(s228)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43161, 43159])).
% 9.70/7.14 tff(43163,plain,
% 9.70/7.14 (until5(s229)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11115, 43162])).
% 9.70/7.14 tff(43164,plain,
% 9.70/7.14 (~node4(s229)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11119, 22, 43096])).
% 9.70/7.14 tff(43165,plain,
% 9.70/7.14 (xuntil6(s229) | (~until5(s229))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11126, 36, 43164])).
% 9.70/7.14 tff(43166,plain,
% 9.70/7.14 (xuntil6(s229)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43165, 43163])).
% 9.70/7.14 tff(43167,plain,
% 9.70/7.14 (until5(s230)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11132, 43166])).
% 9.70/7.14 tff(43168,plain,
% 9.70/7.14 (~node4(s230)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11136, 22, 43095])).
% 9.70/7.14 tff(43169,plain,
% 9.70/7.14 (xuntil6(s230) | (~until5(s230))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11143, 36, 43168])).
% 9.70/7.14 tff(43170,plain,
% 9.70/7.14 (xuntil6(s230)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43169, 43167])).
% 9.70/7.14 tff(43171,plain,
% 9.70/7.14 (until5(s231)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11149, 43170])).
% 9.70/7.14 tff(43172,plain,
% 9.70/7.14 (~node4(s231)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11153, 22, 43094])).
% 9.70/7.14 tff(43173,plain,
% 9.70/7.14 (xuntil6(s231) | (~until5(s231))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11160, 36, 43172])).
% 9.70/7.14 tff(43174,plain,
% 9.70/7.14 (xuntil6(s231)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43173, 43171])).
% 9.70/7.14 tff(43175,plain,
% 9.70/7.14 (until5(s232)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11166, 43174])).
% 9.70/7.14 tff(43176,plain,
% 9.70/7.14 (~node4(s232)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11170, 22, 43093])).
% 9.70/7.14 tff(43177,plain,
% 9.70/7.14 (xuntil6(s232) | (~until5(s232))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11177, 36, 43176])).
% 9.70/7.14 tff(43178,plain,
% 9.70/7.14 (xuntil6(s232)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43177, 43175])).
% 9.70/7.14 tff(43179,plain,
% 9.70/7.14 (until5(s233)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11183, 43178])).
% 9.70/7.14 tff(43180,plain,
% 9.70/7.14 (~node4(s233)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11187, 22, 43092])).
% 9.70/7.14 tff(43181,plain,
% 9.70/7.14 (xuntil6(s233) | (~until5(s233))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11194, 36, 43180])).
% 9.70/7.14 tff(43182,plain,
% 9.70/7.14 (xuntil6(s233)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43181, 43179])).
% 9.70/7.14 tff(43183,plain,
% 9.70/7.14 (until5(s234)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11200, 43182])).
% 9.70/7.14 tff(43184,plain,
% 9.70/7.14 (~node4(s234)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11204, 22, 43091])).
% 9.70/7.14 tff(43185,plain,
% 9.70/7.14 (xuntil6(s234) | (~until5(s234))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11211, 36, 43184])).
% 9.70/7.14 tff(43186,plain,
% 9.70/7.14 (xuntil6(s234)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43185, 43183])).
% 9.70/7.14 tff(43187,plain,
% 9.70/7.14 (until5(s235)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11217, 43186])).
% 9.70/7.14 tff(43188,plain,
% 9.70/7.14 (~node4(s235)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11221, 22, 43090])).
% 9.70/7.14 tff(43189,plain,
% 9.70/7.14 (xuntil6(s235) | (~until5(s235))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11228, 36, 43188])).
% 9.70/7.14 tff(43190,plain,
% 9.70/7.14 (xuntil6(s235)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43189, 43187])).
% 9.70/7.14 tff(43191,plain,
% 9.70/7.14 (until5(s236)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11234, 43190])).
% 9.70/7.14 tff(43192,plain,
% 9.70/7.14 (~node4(s236)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11238, 22, 43089])).
% 9.70/7.14 tff(43193,plain,
% 9.70/7.14 (xuntil6(s236) | (~until5(s236))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11245, 36, 43192])).
% 9.70/7.14 tff(43194,plain,
% 9.70/7.14 (xuntil6(s236)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43193, 43191])).
% 9.70/7.14 tff(43195,plain,
% 9.70/7.14 (until5(s237)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11251, 43194])).
% 9.70/7.14 tff(43196,plain,
% 9.70/7.14 (~node4(s237)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11255, 22, 43088])).
% 9.70/7.14 tff(43197,plain,
% 9.70/7.14 (xuntil6(s237) | (~until5(s237))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11262, 36, 43196])).
% 9.70/7.14 tff(43198,plain,
% 9.70/7.14 (xuntil6(s237)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43197, 43195])).
% 9.70/7.14 tff(43199,plain,
% 9.70/7.14 (until5(s238)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11268, 43198])).
% 9.70/7.14 tff(43200,plain,
% 9.70/7.14 (~node4(s238)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11272, 22, 43087])).
% 9.70/7.14 tff(43201,plain,
% 9.70/7.14 (xuntil6(s238) | (~until5(s238))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11279, 36, 43200])).
% 9.70/7.14 tff(43202,plain,
% 9.70/7.14 (xuntil6(s238)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43201, 43199])).
% 9.70/7.14 tff(43203,plain,
% 9.70/7.14 (until5(s239)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11285, 43202])).
% 9.70/7.14 tff(43204,plain,
% 9.70/7.14 (~node4(s239)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11289, 22, 43086])).
% 9.70/7.14 tff(43205,plain,
% 9.70/7.14 (xuntil6(s239) | (~until5(s239))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11296, 36, 43204])).
% 9.70/7.14 tff(43206,plain,
% 9.70/7.14 (xuntil6(s239)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43205, 43203])).
% 9.70/7.14 tff(43207,plain,
% 9.70/7.14 (until5(s240)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11302, 43206])).
% 9.70/7.14 tff(43208,plain,
% 9.70/7.14 (~node4(s240)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11306, 22, 43085])).
% 9.70/7.14 tff(43209,plain,
% 9.70/7.14 (xuntil6(s240) | (~until5(s240))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11313, 36, 43208])).
% 9.70/7.14 tff(43210,plain,
% 9.70/7.14 (xuntil6(s240)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43209, 43207])).
% 9.70/7.14 tff(43211,plain,
% 9.70/7.14 (until5(s241)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11319, 43210])).
% 9.70/7.14 tff(43212,plain,
% 9.70/7.14 (~node4(s241)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11323, 22, 43084])).
% 9.70/7.14 tff(43213,plain,
% 9.70/7.14 (xuntil6(s241) | (~until5(s241))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11330, 36, 43212])).
% 9.70/7.14 tff(43214,plain,
% 9.70/7.14 (xuntil6(s241)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43213, 43211])).
% 9.70/7.14 tff(43215,plain,
% 9.70/7.14 (until5(s242)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11336, 43214])).
% 9.70/7.14 tff(43216,plain,
% 9.70/7.14 (~node4(s242)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11340, 22, 43083])).
% 9.70/7.14 tff(43217,plain,
% 9.70/7.14 (xuntil6(s242) | (~until5(s242))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11347, 36, 43216])).
% 9.70/7.14 tff(43218,plain,
% 9.70/7.14 (xuntil6(s242)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43217, 43215])).
% 9.70/7.14 tff(43219,plain,
% 9.70/7.14 (until5(s243)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11353, 43218])).
% 9.70/7.14 tff(43220,plain,
% 9.70/7.14 (~node4(s243)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11357, 22, 43082])).
% 9.70/7.14 tff(43221,plain,
% 9.70/7.14 (xuntil6(s243) | (~until5(s243))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11364, 36, 43220])).
% 9.70/7.14 tff(43222,plain,
% 9.70/7.14 (xuntil6(s243)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43221, 43219])).
% 9.70/7.14 tff(43223,plain,
% 9.70/7.14 (until5(s244)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11370, 43222])).
% 9.70/7.14 tff(43224,plain,
% 9.70/7.14 (~node4(s244)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11374, 22, 43081])).
% 9.70/7.14 tff(43225,plain,
% 9.70/7.14 (xuntil6(s244) | (~until5(s244))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11381, 36, 43224])).
% 9.70/7.14 tff(43226,plain,
% 9.70/7.14 (xuntil6(s244)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43225, 43223])).
% 9.70/7.14 tff(43227,plain,
% 9.70/7.14 (until5(s245)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11387, 43226])).
% 9.70/7.14 tff(43228,plain,
% 9.70/7.14 (~node4(s245)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11391, 22, 43080])).
% 9.70/7.14 tff(43229,plain,
% 9.70/7.14 (xuntil6(s245) | (~until5(s245))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11398, 36, 43228])).
% 9.70/7.14 tff(43230,plain,
% 9.70/7.14 (xuntil6(s245)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43229, 43227])).
% 9.70/7.14 tff(43231,plain,
% 9.70/7.14 (until5(s246)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11404, 43230])).
% 9.70/7.14 tff(43232,plain,
% 9.70/7.14 (~node4(s246)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11408, 22, 43079])).
% 9.70/7.14 tff(43233,plain,
% 9.70/7.14 (xuntil6(s246) | (~until5(s246))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11415, 36, 43232])).
% 9.70/7.14 tff(43234,plain,
% 9.70/7.14 (xuntil6(s246)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43233, 43231])).
% 9.70/7.14 tff(43235,plain,
% 9.70/7.14 (until5(s247)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11421, 43234])).
% 9.70/7.14 tff(43236,plain,
% 9.70/7.14 (~node4(s247)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11425, 22, 43078])).
% 9.70/7.14 tff(43237,plain,
% 9.70/7.14 (xuntil6(s247) | (~until5(s247))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11432, 36, 43236])).
% 9.70/7.14 tff(43238,plain,
% 9.70/7.14 (xuntil6(s247)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43237, 43235])).
% 9.70/7.14 tff(43239,plain,
% 9.70/7.14 (until5(s248)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11438, 43238])).
% 9.70/7.14 tff(43240,plain,
% 9.70/7.14 (~node4(s248)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11442, 22, 43077])).
% 9.70/7.14 tff(43241,plain,
% 9.70/7.14 (xuntil6(s248) | (~until5(s248))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11449, 36, 43240])).
% 9.70/7.14 tff(43242,plain,
% 9.70/7.14 (xuntil6(s248)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43241, 43239])).
% 9.70/7.14 tff(43243,plain,
% 9.70/7.14 (until5(s249)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11455, 43242])).
% 9.70/7.14 tff(43244,plain,
% 9.70/7.14 (~node4(s249)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11459, 22, 43076])).
% 9.70/7.14 tff(43245,plain,
% 9.70/7.14 (xuntil6(s249) | (~until5(s249))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11466, 36, 43244])).
% 9.70/7.14 tff(43246,plain,
% 9.70/7.14 (xuntil6(s249)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43245, 43243])).
% 9.70/7.14 tff(43247,plain,
% 9.70/7.14 (until5(s250)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11472, 43246])).
% 9.70/7.14 tff(43248,plain,
% 9.70/7.14 (~node4(s250)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11476, 22, 43075])).
% 9.70/7.14 tff(43249,plain,
% 9.70/7.14 (xuntil6(s250) | (~until5(s250))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11483, 36, 43248])).
% 9.70/7.14 tff(43250,plain,
% 9.70/7.14 (xuntil6(s250)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43249, 43247])).
% 9.70/7.14 tff(43251,plain,
% 9.70/7.14 (until5(s251)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11489, 43250])).
% 9.70/7.14 tff(43252,plain,
% 9.70/7.14 (~node4(s251)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11493, 22, 43074])).
% 9.70/7.14 tff(43253,plain,
% 9.70/7.14 (xuntil6(s251) | (~until5(s251))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11500, 36, 43252])).
% 9.70/7.14 tff(43254,plain,
% 9.70/7.14 (xuntil6(s251)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43253, 43251])).
% 9.70/7.14 tff(43255,plain,
% 9.70/7.14 (until5(s252)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11506, 43254])).
% 9.70/7.14 tff(43256,plain,
% 9.70/7.14 (~node4(s252)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11510, 22, 43073])).
% 9.70/7.14 tff(43257,plain,
% 9.70/7.14 (xuntil6(s252) | (~until5(s252))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11517, 36, 43256])).
% 9.70/7.14 tff(43258,plain,
% 9.70/7.14 (xuntil6(s252)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43257, 43255])).
% 9.70/7.14 tff(43259,plain,
% 9.70/7.14 (until5(s253)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11523, 43258])).
% 9.70/7.14 tff(43260,plain,
% 9.70/7.14 (~node4(s253)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[5080, 22, 43072])).
% 9.70/7.14 tff(43261,plain,
% 9.70/7.14 (xuntil6(s253) | (~until5(s253))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11531, 36, 43260])).
% 9.70/7.14 tff(43262,plain,
% 9.70/7.14 (xuntil6(s253)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43261, 43259])).
% 9.70/7.14 tff(43263,plain,
% 9.70/7.14 (until5(s254)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11537, 43262])).
% 9.70/7.14 tff(43264,plain,
% 9.70/7.14 (~node4(s254)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11541, 22, 43071])).
% 9.70/7.14 tff(43265,plain,
% 9.70/7.14 (xuntil6(s254) | (~until5(s254))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11548, 36, 43264])).
% 9.70/7.14 tff(43266,plain,
% 9.70/7.14 (xuntil6(s254)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43265, 43263])).
% 9.70/7.14 tff(43267,plain,
% 9.70/7.14 (until5(s255)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11554, 43266])).
% 9.70/7.14 tff(43268,plain,
% 9.70/7.14 (~node4(s255)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11558, 22, 43070])).
% 9.70/7.14 tff(43269,plain,
% 9.70/7.14 (xuntil6(s255) | (~until5(s255))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11565, 36, 43268])).
% 9.70/7.14 tff(43270,plain,
% 9.70/7.14 (xuntil6(s255)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43269, 43267])).
% 9.70/7.14 tff(43271,plain,
% 9.70/7.14 (until5(s256)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11571, 43270])).
% 9.70/7.14 tff(43272,plain,
% 9.70/7.14 (~node4(s256)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11575, 22, 43069])).
% 9.70/7.14 tff(43273,plain,
% 9.70/7.14 (xuntil6(s256) | (~until5(s256))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11582, 36, 43272])).
% 9.70/7.14 tff(43274,plain,
% 9.70/7.14 (xuntil6(s256)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43273, 43271])).
% 9.70/7.14 tff(43275,plain,
% 9.70/7.14 (until5(s257)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11588, 43274])).
% 9.70/7.14 tff(43276,plain,
% 9.70/7.14 (~node4(s257)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11592, 22, 43068])).
% 9.70/7.14 tff(43277,plain,
% 9.70/7.14 (xuntil6(s257) | (~until5(s257))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11599, 36, 43276])).
% 9.70/7.14 tff(43278,plain,
% 9.70/7.14 (xuntil6(s257)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43277, 43275])).
% 9.70/7.14 tff(43279,plain,
% 9.70/7.14 (until5(s258)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11605, 43278])).
% 9.70/7.14 tff(43280,plain,
% 9.70/7.14 (~node4(s258)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11609, 22, 43067])).
% 9.70/7.14 tff(43281,plain,
% 9.70/7.14 (xuntil6(s258) | (~until5(s258))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11616, 36, 43280])).
% 9.70/7.14 tff(43282,plain,
% 9.70/7.14 (xuntil6(s258)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43281, 43279])).
% 9.70/7.14 tff(43283,plain,
% 9.70/7.14 (until5(s259)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11622, 43282])).
% 9.70/7.14 tff(43284,plain,
% 9.70/7.14 (~node4(s259)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11626, 22, 43066])).
% 9.70/7.14 tff(43285,plain,
% 9.70/7.14 (xuntil6(s259) | (~until5(s259))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11633, 36, 43284])).
% 9.70/7.14 tff(43286,plain,
% 9.70/7.14 (xuntil6(s259)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43285, 43283])).
% 9.70/7.14 tff(43287,plain,
% 9.70/7.14 (until5(s260)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11639, 43286])).
% 9.70/7.14 tff(43288,plain,
% 9.70/7.14 (~node4(s260)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11643, 22, 43065])).
% 9.70/7.14 tff(43289,plain,
% 9.70/7.14 (xuntil6(s260) | (~until5(s260))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11650, 36, 43288])).
% 9.70/7.14 tff(43290,plain,
% 9.70/7.14 (xuntil6(s260)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43289, 43287])).
% 9.70/7.14 tff(43291,plain,
% 9.70/7.14 (until5(s261)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11656, 43290])).
% 9.70/7.14 tff(43292,plain,
% 9.70/7.14 (~node4(s261)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11660, 22, 43064])).
% 9.70/7.14 tff(43293,plain,
% 9.70/7.14 (xuntil6(s261) | (~until5(s261))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11667, 36, 43292])).
% 9.70/7.14 tff(43294,plain,
% 9.70/7.14 (xuntil6(s261)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43293, 43291])).
% 9.70/7.14 tff(43295,plain,
% 9.70/7.14 (until5(s262)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11673, 43294])).
% 9.70/7.14 tff(43296,plain,
% 9.70/7.14 (~node4(s262)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11677, 22, 43063])).
% 9.70/7.14 tff(43297,plain,
% 9.70/7.14 (xuntil6(s262) | (~until5(s262))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11684, 36, 43296])).
% 9.70/7.14 tff(43298,plain,
% 9.70/7.14 (xuntil6(s262)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43297, 43295])).
% 9.70/7.14 tff(43299,plain,
% 9.70/7.14 (until5(s263)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11690, 43298])).
% 9.70/7.14 tff(43300,plain,
% 9.70/7.14 (~node4(s263)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11694, 22, 43062])).
% 9.70/7.14 tff(43301,plain,
% 9.70/7.14 (xuntil6(s263) | (~until5(s263))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11701, 36, 43300])).
% 9.70/7.14 tff(43302,plain,
% 9.70/7.14 (xuntil6(s263)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43301, 43299])).
% 9.70/7.14 tff(43303,plain,
% 9.70/7.14 (until5(s264)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11707, 43302])).
% 9.70/7.14 tff(43304,plain,
% 9.70/7.14 (~node4(s264)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11711, 22, 43061])).
% 9.70/7.14 tff(43305,plain,
% 9.70/7.14 (xuntil6(s264) | (~until5(s264))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11718, 36, 43304])).
% 9.70/7.14 tff(43306,plain,
% 9.70/7.14 (xuntil6(s264)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43305, 43303])).
% 9.70/7.14 tff(43307,plain,
% 9.70/7.14 (until5(s265)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11724, 43306])).
% 9.70/7.14 tff(43308,plain,
% 9.70/7.14 (~node4(s265)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11728, 22, 43060])).
% 9.70/7.14 tff(43309,plain,
% 9.70/7.14 (xuntil6(s265) | (~until5(s265))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11735, 36, 43308])).
% 9.70/7.14 tff(43310,plain,
% 9.70/7.14 (xuntil6(s265)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43309, 43307])).
% 9.70/7.14 tff(43311,plain,
% 9.70/7.14 (until5(s266)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11741, 43310])).
% 9.70/7.14 tff(43312,plain,
% 9.70/7.14 (~node4(s266)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11745, 22, 43059])).
% 9.70/7.14 tff(43313,plain,
% 9.70/7.14 (xuntil6(s266) | (~until5(s266))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11752, 36, 43312])).
% 9.70/7.14 tff(43314,plain,
% 9.70/7.14 (xuntil6(s266)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43313, 43311])).
% 9.70/7.14 tff(43315,plain,
% 9.70/7.14 (until5(s267)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11758, 43314])).
% 9.70/7.14 tff(43316,plain,
% 9.70/7.14 (~node4(s267)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11762, 22, 43058])).
% 9.70/7.14 tff(43317,plain,
% 9.70/7.14 (xuntil6(s267) | (~until5(s267))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11769, 36, 43316])).
% 9.70/7.14 tff(43318,plain,
% 9.70/7.14 (xuntil6(s267)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43317, 43315])).
% 9.70/7.14 tff(43319,plain,
% 9.70/7.14 (until5(s268)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11775, 43318])).
% 9.70/7.14 tff(43320,plain,
% 9.70/7.14 (~node4(s268)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11779, 22, 43057])).
% 9.70/7.14 tff(43321,plain,
% 9.70/7.14 (xuntil6(s268) | (~until5(s268))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11786, 36, 43320])).
% 9.70/7.14 tff(43322,plain,
% 9.70/7.14 (xuntil6(s268)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43321, 43319])).
% 9.70/7.14 tff(43323,plain,
% 9.70/7.14 (until5(s269)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11792, 43322])).
% 9.70/7.14 tff(43324,plain,
% 9.70/7.14 (~node4(s269)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11796, 22, 43056])).
% 9.70/7.14 tff(43325,plain,
% 9.70/7.14 (xuntil6(s269) | (~until5(s269))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11803, 36, 43324])).
% 9.70/7.14 tff(43326,plain,
% 9.70/7.14 (xuntil6(s269)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43325, 43323])).
% 9.70/7.14 tff(43327,plain,
% 9.70/7.14 (until5(s270)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11809, 43326])).
% 9.70/7.14 tff(43328,plain,
% 9.70/7.14 (~node4(s270)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11813, 22, 43055])).
% 9.70/7.14 tff(43329,plain,
% 9.70/7.14 (xuntil6(s270) | (~until5(s270))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11820, 36, 43328])).
% 9.70/7.14 tff(43330,plain,
% 9.70/7.14 (xuntil6(s270)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43329, 43327])).
% 9.70/7.14 tff(43331,plain,
% 9.70/7.14 (until5(s271)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11826, 43330])).
% 9.70/7.14 tff(43332,plain,
% 9.70/7.14 (~node4(s271)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11830, 22, 43054])).
% 9.70/7.14 tff(43333,plain,
% 9.70/7.14 (xuntil6(s271) | (~until5(s271))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11837, 36, 43332])).
% 9.70/7.14 tff(43334,plain,
% 9.70/7.14 (xuntil6(s271)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43333, 43331])).
% 9.70/7.14 tff(43335,plain,
% 9.70/7.14 (until5(s272)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11843, 43334])).
% 9.70/7.14 tff(43336,plain,
% 9.70/7.14 (~node4(s272)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11847, 22, 43053])).
% 9.70/7.14 tff(43337,plain,
% 9.70/7.14 (xuntil6(s272) | (~until5(s272))),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11854, 36, 43336])).
% 9.70/7.14 tff(43338,plain,
% 9.70/7.14 (xuntil6(s272)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43337, 43335])).
% 9.70/7.14 tff(43339,plain,
% 9.70/7.14 ($false),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[11860, 43338, 43052])).
% 9.70/7.14 tff(43340,plain,(always3(s329) | xuntil6(s329) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.70/7.14 tff(43341,plain,
% 9.70/7.14 (always3(s329)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43340, 42736, 6320])).
% 9.70/7.14 tff(43342,plain,
% 9.70/7.14 (succ(s329, s330) <=> succ(s329, s330)),
% 9.70/7.14 inference(rewrite,[status(thm)],[])).
% 9.70/7.14 tff(43343,axiom,(succ(s329, s330)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound330')).
% 9.70/7.14 tff(43344,plain,
% 9.70/7.14 (succ(s329, s330)),
% 9.70/7.14 inference(modus_ponens,[status(thm)],[43343, 43342])).
% 9.70/7.14 tff(43345,plain,
% 9.70/7.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s329, s330)) | trans(s329, s330))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s329, s330)) | trans(s329, s330))),
% 9.70/7.14 inference(rewrite,[status(thm)],[])).
% 9.70/7.14 tff(43346,plain,
% 9.70/7.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s329, s330)) | trans(s329, s330))),
% 9.70/7.14 inference(quant_inst,[status(thm)],[])).
% 9.70/7.14 tff(43347,plain,
% 9.70/7.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s329, s330)) | trans(s329, s330)),
% 9.70/7.14 inference(modus_ponens,[status(thm)],[43346, 43345])).
% 9.70/7.14 tff(43348,plain,
% 9.70/7.14 (trans(s329, s330)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43347, 43344, 51])).
% 9.70/7.14 tff(43349,plain,
% 9.70/7.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s329, s330)) | (~always3(s329)) | always3(s330))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s329, s330)) | (~always3(s329)) | always3(s330))),
% 9.70/7.14 inference(rewrite,[status(thm)],[])).
% 9.70/7.14 tff(43350,plain,
% 9.70/7.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s329, s330)) | (~always3(s329)) | always3(s330))),
% 9.70/7.14 inference(quant_inst,[status(thm)],[])).
% 9.70/7.14 tff(43351,plain,
% 9.70/7.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s329, s330)) | (~always3(s329)) | always3(s330)),
% 9.70/7.14 inference(modus_ponens,[status(thm)],[43350, 43349])).
% 9.70/7.14 tff(43352,plain,
% 9.70/7.14 ((~always3(s329)) | always3(s330)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43351, 68, 43348])).
% 9.70/7.14 tff(43353,plain,
% 9.70/7.14 (always3(s330)),
% 9.70/7.14 inference(unit_resolution,[status(thm)],[43352, 43341])).
% 9.70/7.14 tff(43354,plain,
% 9.70/7.14 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s330)) | (~m_main_v_state(s330, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s330)) | (~m_main_v_state(s330, c_busy)))),
% 9.70/7.15 inference(rewrite,[status(thm)],[])).
% 9.70/7.15 tff(43355,plain,
% 9.70/7.15 (((~m_main_v_state(s330, c_busy)) | (~always3(s330))) <=> ((~always3(s330)) | (~m_main_v_state(s330, c_busy)))),
% 9.70/7.15 inference(rewrite,[status(thm)],[])).
% 9.70/7.15 tff(43356,plain,
% 9.70/7.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s330, c_busy)) | (~always3(s330)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s330)) | (~m_main_v_state(s330, c_busy))))),
% 9.70/7.15 inference(monotonicity,[status(thm)],[43355])).
% 9.70/7.15 tff(43357,plain,
% 9.70/7.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s330, c_busy)) | (~always3(s330)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s330)) | (~m_main_v_state(s330, c_busy)))),
% 9.70/7.15 inference(transitivity,[status(thm)],[43356, 43354])).
% 9.70/7.15 tff(43358,plain,
% 9.70/7.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s330, c_busy)) | (~always3(s330)))),
% 9.70/7.15 inference(quant_inst,[status(thm)],[])).
% 9.70/7.15 tff(43359,plain,
% 9.70/7.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s330)) | (~m_main_v_state(s330, c_busy))),
% 9.70/7.15 inference(modus_ponens,[status(thm)],[43358, 43357])).
% 9.70/7.15 tff(43360,plain,
% 9.70/7.15 (~m_main_v_state(s330, c_busy)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43359, 170, 43353])).
% 9.70/7.15 tff(43361,assumption,(until5(s329)), introduced(assumption)).
% 9.70/7.15 tff(43362,plain,
% 9.70/7.15 (xuntil6(s329) | node4(s329)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[42763, 36, 43361])).
% 9.70/7.15 tff(43363,plain,
% 9.70/7.15 (node4(s329)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43362, 42736])).
% 9.70/7.15 tff(43364,plain,
% 9.70/7.15 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s329) | (~node4(s329)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s329) | (~node4(s329)))),
% 9.70/7.15 inference(rewrite,[status(thm)],[])).
% 9.70/7.15 tff(43365,plain,
% 9.70/7.15 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s329) | (~node4(s329)))),
% 9.70/7.15 inference(quant_inst,[status(thm)],[])).
% 9.70/7.15 tff(43366,plain,
% 9.70/7.15 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s329) | (~node4(s329))),
% 9.70/7.15 inference(modus_ponens,[status(thm)],[43365, 43364])).
% 9.70/7.15 tff(43367,plain,
% 9.70/7.15 (m_main_v_request(s329)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43366, 154, 43363])).
% 9.70/7.15 tff(43368,plain,
% 9.70/7.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s329, s330)) | node2(s329, s330))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s329, s330)) | node2(s329, s330))),
% 9.70/7.15 inference(rewrite,[status(thm)],[])).
% 9.70/7.15 tff(43369,plain,
% 9.70/7.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s329, s330)) | node2(s329, s330))),
% 9.70/7.15 inference(quant_inst,[status(thm)],[])).
% 9.70/7.15 tff(43370,plain,
% 9.70/7.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s329, s330)) | node2(s329, s330)),
% 9.70/7.15 inference(modus_ponens,[status(thm)],[43369, 43368])).
% 9.70/7.15 tff(43371,plain,
% 9.70/7.15 (node2(s329, s330)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43370, 7, 43348])).
% 9.70/7.15 tff(43372,plain,
% 9.70/7.15 (((~![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(s329, c_ready)) | (~node2(s329, s330)) | m_main_v_state(s330, c_busy) | (~m_main_v_request(s329)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s329, c_ready)) | (~node2(s329, s330)) | m_main_v_state(s330, c_busy) | (~m_main_v_request(s329)))),
% 9.70/7.15 inference(rewrite,[status(thm)],[])).
% 9.70/7.15 tff(43373,plain,
% 9.70/7.15 ((~![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(s329, c_ready)) | (~node2(s329, s330)) | m_main_v_state(s330, c_busy) | (~m_main_v_request(s329)))),
% 9.70/7.15 inference(quant_inst,[status(thm)],[])).
% 9.70/7.15 tff(43374,plain,
% 9.70/7.15 ((~![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(s329, c_ready)) | (~node2(s329, s330)) | m_main_v_state(s330, c_busy) | (~m_main_v_request(s329))),
% 9.70/7.15 inference(modus_ponens,[status(thm)],[43373, 43372])).
% 9.70/7.15 tff(43375,plain,
% 9.70/7.15 ((~m_main_v_state(s329, c_ready)) | m_main_v_state(s330, c_busy) | (~m_main_v_request(s329))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43374, 191, 43371])).
% 9.70/7.15 tff(43376,plain,
% 9.70/7.15 (~m_main_v_state(s329, c_ready)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43375, 43367, 43360])).
% 9.70/7.15 tff(43377,plain,
% 9.70/7.15 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s329, c_busy) | m_main_v_state(s329, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s329, c_busy) | m_main_v_state(s329, c_ready))),
% 9.70/7.15 inference(rewrite,[status(thm)],[])).
% 9.70/7.15 tff(43378,plain,
% 9.70/7.15 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s329, c_busy) | m_main_v_state(s329, c_ready))),
% 9.70/7.15 inference(quant_inst,[status(thm)],[])).
% 9.70/7.15 tff(43379,plain,
% 9.70/7.15 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s329, c_busy) | m_main_v_state(s329, c_ready)),
% 9.70/7.15 inference(modus_ponens,[status(thm)],[43378, 43377])).
% 9.70/7.15 tff(43380,plain,
% 9.70/7.15 (m_main_v_state(s329, c_busy)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43379, 213, 43376])).
% 9.70/7.15 tff(43381,plain,
% 9.70/7.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s329)) | (~m_main_v_state(s329, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s329)) | (~m_main_v_state(s329, c_busy)))),
% 9.70/7.15 inference(rewrite,[status(thm)],[])).
% 9.70/7.15 tff(43382,plain,
% 9.70/7.15 (((~m_main_v_state(s329, c_busy)) | (~always3(s329))) <=> ((~always3(s329)) | (~m_main_v_state(s329, c_busy)))),
% 9.70/7.15 inference(rewrite,[status(thm)],[])).
% 9.70/7.15 tff(43383,plain,
% 9.70/7.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s329, c_busy)) | (~always3(s329)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s329)) | (~m_main_v_state(s329, c_busy))))),
% 9.70/7.15 inference(monotonicity,[status(thm)],[43382])).
% 9.70/7.15 tff(43384,plain,
% 9.70/7.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s329, c_busy)) | (~always3(s329)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s329)) | (~m_main_v_state(s329, c_busy)))),
% 9.70/7.15 inference(transitivity,[status(thm)],[43383, 43381])).
% 9.70/7.15 tff(43385,plain,
% 9.70/7.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s329, c_busy)) | (~always3(s329)))),
% 9.70/7.15 inference(quant_inst,[status(thm)],[])).
% 9.70/7.15 tff(43386,plain,
% 9.70/7.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s329)) | (~m_main_v_state(s329, c_busy))),
% 9.70/7.15 inference(modus_ponens,[status(thm)],[43385, 43384])).
% 9.70/7.15 tff(43387,plain,
% 9.70/7.15 ($false),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43386, 170, 43341, 43380])).
% 9.70/7.15 tff(43388,plain,(xuntil6(s329) | (~until5(s329)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.70/7.15 tff(43389,plain,
% 9.70/7.15 (~until5(s329)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43388, 42736, 6320])).
% 9.70/7.15 tff(43390,plain,
% 9.70/7.15 (~xuntil6(s328)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[42769, 43389])).
% 9.70/7.15 tff(43391,assumption,(until5(s328)), introduced(assumption)).
% 9.70/7.15 tff(43392,plain,
% 9.70/7.15 (xuntil6(s328) | node4(s328)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[42776, 36, 43391])).
% 9.70/7.15 tff(43393,plain,
% 9.70/7.15 (node4(s328)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43392, 43390])).
% 9.70/7.15 tff(43394,assumption,(~m_main_v_state(s329, c_busy)), introduced(assumption)).
% 9.70/7.15 tff(43395,assumption,(node4(s328)), introduced(assumption)).
% 9.70/7.15 tff(43396,plain,
% 9.70/7.15 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s328) | (~node4(s328)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s328) | (~node4(s328)))),
% 9.70/7.15 inference(rewrite,[status(thm)],[])).
% 9.70/7.15 tff(43397,plain,
% 9.70/7.15 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s328) | (~node4(s328)))),
% 9.70/7.15 inference(quant_inst,[status(thm)],[])).
% 9.70/7.15 tff(43398,plain,
% 9.70/7.15 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s328) | (~node4(s328))),
% 9.70/7.15 inference(modus_ponens,[status(thm)],[43397, 43396])).
% 9.70/7.15 tff(43399,plain,
% 9.70/7.15 (m_main_v_request(s328)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43398, 154, 43395])).
% 9.70/7.15 tff(43400,plain,
% 9.70/7.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s328, s329)) | node2(s328, s329))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s328, s329)) | node2(s328, s329))),
% 9.70/7.15 inference(rewrite,[status(thm)],[])).
% 9.70/7.15 tff(43401,plain,
% 9.70/7.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s328, s329)) | node2(s328, s329))),
% 9.70/7.15 inference(quant_inst,[status(thm)],[])).
% 9.70/7.15 tff(43402,plain,
% 9.70/7.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s328, s329)) | node2(s328, s329)),
% 9.70/7.15 inference(modus_ponens,[status(thm)],[43401, 43400])).
% 9.70/7.15 tff(43403,plain,
% 9.70/7.15 (node2(s328, s329)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43402, 7, 42744])).
% 9.70/7.15 tff(43404,plain,
% 9.70/7.15 (((~![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(s328, c_ready)) | (~node2(s328, s329)) | m_main_v_state(s329, c_busy) | (~m_main_v_request(s328)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s328, c_ready)) | (~node2(s328, s329)) | m_main_v_state(s329, c_busy) | (~m_main_v_request(s328)))),
% 9.70/7.15 inference(rewrite,[status(thm)],[])).
% 9.70/7.15 tff(43405,plain,
% 9.70/7.15 ((~![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(s328, c_ready)) | (~node2(s328, s329)) | m_main_v_state(s329, c_busy) | (~m_main_v_request(s328)))),
% 9.70/7.15 inference(quant_inst,[status(thm)],[])).
% 9.70/7.15 tff(43406,plain,
% 9.70/7.15 ((~![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(s328, c_ready)) | (~node2(s328, s329)) | m_main_v_state(s329, c_busy) | (~m_main_v_request(s328))),
% 9.70/7.15 inference(modus_ponens,[status(thm)],[43405, 43404])).
% 9.70/7.15 tff(43407,plain,
% 9.70/7.15 ((~m_main_v_state(s328, c_ready)) | m_main_v_state(s329, c_busy) | (~m_main_v_request(s328))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43406, 191, 43403])).
% 9.70/7.15 tff(43408,plain,
% 9.70/7.15 (~m_main_v_state(s328, c_ready)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43407, 43399, 43394])).
% 9.70/7.15 tff(43409,plain,
% 9.70/7.15 (always3(s328)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[42752, 22, 43395])).
% 9.70/7.15 tff(43410,plain,
% 9.70/7.15 (~m_main_v_state(s328, c_busy)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[13214, 170, 43409])).
% 9.70/7.15 tff(43411,plain,
% 9.70/7.15 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s328, c_busy) | m_main_v_state(s328, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s328, c_busy) | m_main_v_state(s328, c_ready))),
% 9.70/7.15 inference(rewrite,[status(thm)],[])).
% 9.70/7.15 tff(43412,plain,
% 9.70/7.15 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s328, c_busy) | m_main_v_state(s328, c_ready))),
% 9.70/7.15 inference(quant_inst,[status(thm)],[])).
% 9.70/7.15 tff(43413,plain,
% 9.70/7.15 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s328, c_busy) | m_main_v_state(s328, c_ready)),
% 9.70/7.15 inference(modus_ponens,[status(thm)],[43412, 43411])).
% 9.70/7.15 tff(43414,plain,
% 9.70/7.15 ($false),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43413, 213, 43410, 43408])).
% 9.70/7.15 tff(43415,plain,((~node4(s328)) | m_main_v_state(s329, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.70/7.15 tff(43416,plain,
% 9.70/7.15 (m_main_v_state(s329, c_busy)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43415, 43393])).
% 9.70/7.15 tff(43417,plain,
% 9.70/7.15 ($false),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43386, 170, 43341, 43416])).
% 9.70/7.15 tff(43418,plain,(xuntil6(s329) | (~until5(s328)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.70/7.15 tff(43419,plain,
% 9.70/7.15 (xuntil6(s329)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43418, 42735, 5071])).
% 9.70/7.15 tff(43420,plain,
% 9.70/7.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s329, s330)) | (~xuntil6(s329)) | until5(s330))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s329, s330)) | (~xuntil6(s329)) | until5(s330))),
% 9.70/7.15 inference(rewrite,[status(thm)],[])).
% 9.70/7.15 tff(43421,plain,
% 9.70/7.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s329, s330)) | (~xuntil6(s329)) | until5(s330))),
% 9.70/7.15 inference(quant_inst,[status(thm)],[])).
% 9.70/7.15 tff(43422,plain,
% 9.70/7.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s329, s330)) | (~xuntil6(s329)) | until5(s330)),
% 9.70/7.15 inference(modus_ponens,[status(thm)],[43421, 43420])).
% 9.70/7.15 tff(43423,plain,
% 9.70/7.15 ((~xuntil6(s329)) | until5(s330)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43422, 43344, 141])).
% 9.70/7.15 tff(43424,plain,
% 9.70/7.15 (until5(s330)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43423, 43419])).
% 9.70/7.15 tff(43425,assumption,(~xuntil6(s331)), introduced(assumption)).
% 9.70/7.15 tff(43426,assumption,(~always3(s331)), introduced(assumption)).
% 9.70/7.15 tff(43427,plain,
% 9.70/7.15 (succ(s330, s331) <=> succ(s330, s331)),
% 9.70/7.15 inference(rewrite,[status(thm)],[])).
% 9.70/7.15 tff(43428,axiom,(succ(s330, s331)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound331')).
% 9.70/7.15 tff(43429,plain,
% 9.70/7.15 (succ(s330, s331)),
% 9.70/7.15 inference(modus_ponens,[status(thm)],[43428, 43427])).
% 9.70/7.15 tff(43430,plain,
% 9.70/7.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s330, s331)) | trans(s330, s331))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s330, s331)) | trans(s330, s331))),
% 9.70/7.15 inference(rewrite,[status(thm)],[])).
% 9.70/7.15 tff(43431,plain,
% 9.70/7.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s330, s331)) | trans(s330, s331))),
% 9.70/7.15 inference(quant_inst,[status(thm)],[])).
% 9.70/7.15 tff(43432,plain,
% 9.70/7.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s330, s331)) | trans(s330, s331)),
% 9.70/7.15 inference(modus_ponens,[status(thm)],[43431, 43430])).
% 9.70/7.15 tff(43433,plain,
% 9.70/7.15 (trans(s330, s331)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43432, 43429, 51])).
% 9.70/7.15 tff(43434,plain,
% 9.70/7.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s330, s331)) | (~always3(s330)) | always3(s331))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s330, s331)) | (~always3(s330)) | always3(s331))),
% 9.70/7.15 inference(rewrite,[status(thm)],[])).
% 9.70/7.15 tff(43435,plain,
% 9.70/7.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s330, s331)) | (~always3(s330)) | always3(s331))),
% 9.70/7.15 inference(quant_inst,[status(thm)],[])).
% 9.70/7.15 tff(43436,plain,
% 9.70/7.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s330, s331)) | (~always3(s330)) | always3(s331)),
% 9.70/7.15 inference(modus_ponens,[status(thm)],[43435, 43434])).
% 9.70/7.15 tff(43437,plain,
% 9.70/7.15 ((~always3(s330)) | always3(s331)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43436, 68, 43433])).
% 9.70/7.15 tff(43438,plain,
% 9.70/7.15 (~always3(s330)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43437, 43426])).
% 9.70/7.15 tff(43439,plain,
% 9.70/7.15 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s330) | (~node4(s330)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s330) | (~node4(s330)))),
% 9.70/7.15 inference(rewrite,[status(thm)],[])).
% 9.70/7.15 tff(43440,plain,
% 9.70/7.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s330) | (~node4(s330)))),
% 9.70/7.15 inference(quant_inst,[status(thm)],[])).
% 9.70/7.15 tff(43441,plain,
% 9.70/7.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s330) | (~node4(s330))),
% 9.70/7.15 inference(modus_ponens,[status(thm)],[43440, 43439])).
% 9.70/7.15 tff(43442,plain,
% 9.70/7.15 (~node4(s330)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43441, 22, 43438])).
% 9.70/7.15 tff(43443,plain,
% 9.70/7.15 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s331) | (~node4(s331)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s331) | (~node4(s331)))),
% 9.70/7.15 inference(rewrite,[status(thm)],[])).
% 9.70/7.15 tff(43444,plain,
% 9.70/7.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s331) | (~node4(s331)))),
% 9.70/7.15 inference(quant_inst,[status(thm)],[])).
% 9.70/7.15 tff(43445,plain,
% 9.70/7.15 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s331) | (~node4(s331))),
% 9.70/7.15 inference(modus_ponens,[status(thm)],[43444, 43443])).
% 9.70/7.15 tff(43446,plain,
% 9.70/7.15 (~node4(s331)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43445, 22, 43426])).
% 9.70/7.15 tff(43447,plain,
% 9.70/7.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s331) | node4(s331) | (~until5(s331)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s331) | node4(s331) | (~until5(s331)))),
% 9.70/7.15 inference(rewrite,[status(thm)],[])).
% 9.70/7.15 tff(43448,plain,
% 9.70/7.15 ((node4(s331) | (~until5(s331)) | xuntil6(s331)) <=> (xuntil6(s331) | node4(s331) | (~until5(s331)))),
% 9.70/7.15 inference(rewrite,[status(thm)],[])).
% 9.70/7.15 tff(43449,plain,
% 9.70/7.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s331) | (~until5(s331)) | xuntil6(s331))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s331) | node4(s331) | (~until5(s331))))),
% 9.70/7.15 inference(monotonicity,[status(thm)],[43448])).
% 9.70/7.15 tff(43450,plain,
% 9.70/7.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s331) | (~until5(s331)) | xuntil6(s331))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s331) | node4(s331) | (~until5(s331)))),
% 9.70/7.15 inference(transitivity,[status(thm)],[43449, 43447])).
% 9.70/7.15 tff(43451,plain,
% 9.70/7.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s331) | (~until5(s331)) | xuntil6(s331))),
% 9.70/7.15 inference(quant_inst,[status(thm)],[])).
% 9.70/7.15 tff(43452,plain,
% 9.70/7.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s331) | node4(s331) | (~until5(s331))),
% 9.70/7.15 inference(modus_ponens,[status(thm)],[43451, 43450])).
% 9.70/7.15 tff(43453,plain,
% 9.70/7.15 (node4(s331) | (~until5(s331))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43452, 36, 43425])).
% 9.70/7.15 tff(43454,plain,
% 9.70/7.15 (~until5(s331)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43453, 43446])).
% 9.70/7.15 tff(43455,plain,
% 9.70/7.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s330, s331)) | (~xuntil6(s330)) | until5(s331))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s330, s331)) | (~xuntil6(s330)) | until5(s331))),
% 9.70/7.15 inference(rewrite,[status(thm)],[])).
% 9.70/7.15 tff(43456,plain,
% 9.70/7.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s330, s331)) | (~xuntil6(s330)) | until5(s331))),
% 9.70/7.15 inference(quant_inst,[status(thm)],[])).
% 9.70/7.15 tff(43457,plain,
% 9.70/7.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s330, s331)) | (~xuntil6(s330)) | until5(s331)),
% 9.70/7.15 inference(modus_ponens,[status(thm)],[43456, 43455])).
% 9.70/7.15 tff(43458,plain,
% 9.70/7.15 ((~xuntil6(s330)) | until5(s331)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43457, 43429, 141])).
% 9.70/7.15 tff(43459,plain,
% 9.70/7.15 (~xuntil6(s330)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43458, 43454])).
% 9.70/7.15 tff(43460,plain,
% 9.70/7.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s330) | node4(s330) | (~until5(s330)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s330) | node4(s330) | (~until5(s330)))),
% 9.70/7.15 inference(rewrite,[status(thm)],[])).
% 9.70/7.15 tff(43461,plain,
% 9.70/7.15 ((node4(s330) | (~until5(s330)) | xuntil6(s330)) <=> (xuntil6(s330) | node4(s330) | (~until5(s330)))),
% 9.70/7.15 inference(rewrite,[status(thm)],[])).
% 9.70/7.15 tff(43462,plain,
% 9.70/7.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s330) | (~until5(s330)) | xuntil6(s330))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s330) | node4(s330) | (~until5(s330))))),
% 9.70/7.15 inference(monotonicity,[status(thm)],[43461])).
% 9.70/7.15 tff(43463,plain,
% 9.70/7.15 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s330) | (~until5(s330)) | xuntil6(s330))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s330) | node4(s330) | (~until5(s330)))),
% 9.70/7.15 inference(transitivity,[status(thm)],[43462, 43460])).
% 9.70/7.15 tff(43464,plain,
% 9.70/7.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s330) | (~until5(s330)) | xuntil6(s330))),
% 9.70/7.15 inference(quant_inst,[status(thm)],[])).
% 9.70/7.15 tff(43465,plain,
% 9.70/7.15 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s330) | node4(s330) | (~until5(s330))),
% 9.70/7.15 inference(modus_ponens,[status(thm)],[43464, 43463])).
% 9.70/7.15 tff(43466,plain,
% 9.70/7.15 (~until5(s330)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43465, 36, 43459, 43442])).
% 9.70/7.15 tff(43467,plain,
% 9.70/7.15 (~xuntil6(s329)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43423, 43466])).
% 9.70/7.15 tff(43468,plain,
% 9.70/7.15 (~always3(s329)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43352, 43438])).
% 9.70/7.15 tff(43469,plain,
% 9.70/7.15 (~node4(s329)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[42756, 22, 43468])).
% 9.70/7.15 tff(43470,plain,
% 9.70/7.15 (xuntil6(s329) | (~until5(s329))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[42763, 36, 43469])).
% 9.70/7.15 tff(43471,plain,
% 9.70/7.15 (~until5(s329)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43470, 43467])).
% 9.70/7.15 tff(43472,plain,
% 9.70/7.15 (~xuntil6(s328)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[42769, 43471])).
% 9.70/7.15 tff(43473,plain,
% 9.70/7.15 (~always3(s328)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[42748, 43468])).
% 9.70/7.15 tff(43474,plain,
% 9.70/7.15 (~node4(s328)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[42752, 22, 43473])).
% 9.70/7.15 tff(43475,plain,
% 9.70/7.15 (xuntil6(s328) | (~until5(s328))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[42776, 36, 43474])).
% 9.70/7.15 tff(43476,plain,
% 9.70/7.15 (~until5(s328)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43475, 43472])).
% 9.70/7.15 tff(43477,plain,
% 9.70/7.15 (~xuntil6(s327)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[42734, 43476])).
% 9.70/7.15 tff(43478,plain,
% 9.70/7.15 (~always3(s327)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[13207, 43473])).
% 9.70/7.15 tff(43479,plain,
% 9.70/7.15 (~node4(s327)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12596, 22, 43478])).
% 9.70/7.15 tff(43480,plain,
% 9.70/7.15 (xuntil6(s327) | (~until5(s327))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12603, 36, 43479])).
% 9.70/7.15 tff(43481,plain,
% 9.70/7.15 (~until5(s327)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43480, 43477])).
% 9.70/7.15 tff(43482,plain,
% 9.70/7.15 (~xuntil6(s326)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12609, 43481])).
% 9.70/7.15 tff(43483,plain,
% 9.70/7.15 (~always3(s326)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12588, 43478])).
% 9.70/7.15 tff(43484,plain,
% 9.70/7.15 (~node4(s326)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12592, 22, 43483])).
% 9.70/7.15 tff(43485,plain,
% 9.70/7.15 (xuntil6(s326) | (~until5(s326))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12616, 36, 43484])).
% 9.70/7.15 tff(43486,plain,
% 9.70/7.15 (~until5(s326)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43485, 43482])).
% 9.70/7.15 tff(43487,plain,
% 9.70/7.15 (~xuntil6(s325)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12624, 43486])).
% 9.70/7.15 tff(43488,plain,
% 9.70/7.15 (~always3(s325)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12633, 43483])).
% 9.70/7.15 tff(43489,plain,
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% 9.70/7.15 inference(unit_resolution,[status(thm)],[12637, 22, 43488])).
% 9.70/7.15 tff(43490,plain,
% 9.70/7.15 (xuntil6(s325) | (~until5(s325))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12644, 36, 43489])).
% 9.70/7.15 tff(43491,plain,
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% 9.70/7.15 inference(unit_resolution,[status(thm)],[43490, 43487])).
% 9.70/7.15 tff(43492,plain,
% 9.70/7.15 (~xuntil6(s324)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12653, 43491])).
% 9.70/7.15 tff(43493,plain,
% 9.70/7.15 (~always3(s324)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12662, 43488])).
% 9.70/7.15 tff(43494,plain,
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% 9.70/7.15 inference(unit_resolution,[status(thm)],[12666, 22, 43493])).
% 9.70/7.15 tff(43495,plain,
% 9.70/7.15 (xuntil6(s324) | (~until5(s324))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12673, 36, 43494])).
% 9.70/7.15 tff(43496,plain,
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% 9.70/7.15 inference(unit_resolution,[status(thm)],[43495, 43492])).
% 9.70/7.15 tff(43497,plain,
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% 9.70/7.15 inference(unit_resolution,[status(thm)],[12682, 43496])).
% 9.70/7.15 tff(43498,plain,
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% 9.70/7.15 inference(unit_resolution,[status(thm)],[12691, 43493])).
% 9.70/7.15 tff(43499,plain,
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% 9.70/7.15 tff(43500,plain,
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% 9.70/7.15 tff(43501,plain,
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% 9.70/7.15 inference(unit_resolution,[status(thm)],[43500, 43497])).
% 9.70/7.15 tff(43502,plain,
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% 9.70/7.15 inference(unit_resolution,[status(thm)],[12711, 43501])).
% 9.70/7.15 tff(43503,plain,
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% 9.70/7.15 inference(unit_resolution,[status(thm)],[12720, 43498])).
% 9.70/7.15 tff(43504,plain,
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% 9.70/7.15 tff(43505,plain,
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% 9.70/7.15 tff(43506,plain,
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% 9.70/7.15 inference(unit_resolution,[status(thm)],[43505, 43502])).
% 9.70/7.15 tff(43507,plain,
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% 9.70/7.15 inference(unit_resolution,[status(thm)],[12740, 43506])).
% 9.70/7.15 tff(43508,plain,
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% 9.70/7.15 inference(unit_resolution,[status(thm)],[12749, 43503])).
% 9.70/7.15 tff(43509,plain,
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% 9.70/7.15 tff(43510,plain,
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% 9.70/7.15 tff(43511,plain,
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% 9.70/7.15 inference(unit_resolution,[status(thm)],[43510, 43507])).
% 9.70/7.15 tff(43512,plain,
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% 9.70/7.15 tff(43513,plain,
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% 9.70/7.15 tff(43514,plain,
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% 9.70/7.15 tff(43515,plain,
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% 9.70/7.15 tff(43516,plain,
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% 9.70/7.15 inference(unit_resolution,[status(thm)],[43515, 43512])).
% 9.70/7.15 tff(43517,plain,
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% 9.70/7.15 tff(43518,plain,
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% 9.70/7.15 inference(unit_resolution,[status(thm)],[12807, 43513])).
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% 9.70/7.15 tff(43521,plain,
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% 9.70/7.15 tff(43523,plain,
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% 9.70/7.15 tff(43524,plain,
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% 9.70/7.15 tff(43526,plain,
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% 9.70/7.15 inference(unit_resolution,[status(thm)],[43525, 43522])).
% 9.70/7.15 tff(43527,plain,
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% 9.70/7.15 inference(unit_resolution,[status(thm)],[12856, 43526])).
% 9.70/7.15 tff(43528,plain,
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% 9.70/7.15 tff(43529,plain,
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% 9.70/7.15 tff(43531,plain,
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% 9.70/7.15 tff(43532,plain,
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% 9.70/7.15 tff(43533,plain,
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% 9.70/7.15 inference(unit_resolution,[status(thm)],[12894, 43528])).
% 9.70/7.15 tff(43534,plain,
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% 9.70/7.15 tff(43535,plain,
% 9.70/7.15 (xuntil6(s316) | (~until5(s316))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12905, 36, 43534])).
% 9.70/7.15 tff(43536,plain,
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% 9.70/7.15 inference(unit_resolution,[status(thm)],[43535, 43532])).
% 9.70/7.15 tff(43537,plain,
% 9.70/7.15 (~xuntil6(s315)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12911, 43536])).
% 9.70/7.15 tff(43538,plain,
% 9.70/7.15 (~always3(s315)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5133, 43533])).
% 9.70/7.15 tff(43539,plain,
% 9.70/7.15 (~node4(s315)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12916, 22, 43538])).
% 9.70/7.15 tff(43540,plain,
% 9.70/7.15 (xuntil6(s315) | (~until5(s315))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12923, 36, 43539])).
% 9.70/7.15 tff(43541,plain,
% 9.70/7.15 (~until5(s315)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43540, 43537])).
% 9.70/7.15 tff(43542,plain,
% 9.70/7.15 (~xuntil6(s314)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12574, 43541])).
% 9.70/7.15 tff(43543,plain,
% 9.70/7.15 (~always3(s314)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5145, 43538])).
% 9.70/7.15 tff(43544,plain,
% 9.70/7.15 (~node4(s314)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12561, 22, 43543])).
% 9.70/7.15 tff(43545,plain,
% 9.70/7.15 (xuntil6(s314) | (~until5(s314))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12568, 36, 43544])).
% 9.70/7.15 tff(43546,plain,
% 9.70/7.15 (~until5(s314)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43545, 43542])).
% 9.70/7.15 tff(43547,plain,
% 9.70/7.15 (~xuntil6(s313)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12557, 43546])).
% 9.70/7.15 tff(43548,plain,
% 9.70/7.15 (~always3(s313)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5157, 43543])).
% 9.70/7.15 tff(43549,plain,
% 9.70/7.15 (~node4(s313)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12544, 22, 43548])).
% 9.70/7.15 tff(43550,plain,
% 9.70/7.15 (xuntil6(s313) | (~until5(s313))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12551, 36, 43549])).
% 9.70/7.15 tff(43551,plain,
% 9.70/7.15 (~until5(s313)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43550, 43547])).
% 9.70/7.15 tff(43552,plain,
% 9.70/7.15 (~xuntil6(s312)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12540, 43551])).
% 9.70/7.15 tff(43553,plain,
% 9.70/7.15 (~always3(s312)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5169, 43548])).
% 9.70/7.15 tff(43554,plain,
% 9.70/7.15 (~node4(s312)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12527, 22, 43553])).
% 9.70/7.15 tff(43555,plain,
% 9.70/7.15 (xuntil6(s312) | (~until5(s312))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12534, 36, 43554])).
% 9.70/7.15 tff(43556,plain,
% 9.70/7.15 (~until5(s312)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43555, 43552])).
% 9.70/7.15 tff(43557,plain,
% 9.70/7.15 (~xuntil6(s311)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12523, 43556])).
% 9.70/7.15 tff(43558,plain,
% 9.70/7.15 (~always3(s311)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5181, 43553])).
% 9.70/7.15 tff(43559,plain,
% 9.70/7.15 (~node4(s311)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12510, 22, 43558])).
% 9.70/7.15 tff(43560,plain,
% 9.70/7.15 (xuntil6(s311) | (~until5(s311))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12517, 36, 43559])).
% 9.70/7.15 tff(43561,plain,
% 9.70/7.15 (~until5(s311)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43560, 43557])).
% 9.70/7.15 tff(43562,plain,
% 9.70/7.15 (~xuntil6(s310)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12506, 43561])).
% 9.70/7.15 tff(43563,plain,
% 9.70/7.15 (~always3(s310)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5193, 43558])).
% 9.70/7.15 tff(43564,plain,
% 9.70/7.15 (~node4(s310)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12493, 22, 43563])).
% 9.70/7.15 tff(43565,plain,
% 9.70/7.15 (xuntil6(s310) | (~until5(s310))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12500, 36, 43564])).
% 9.70/7.15 tff(43566,plain,
% 9.70/7.15 (~until5(s310)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43565, 43562])).
% 9.70/7.15 tff(43567,plain,
% 9.70/7.15 (~xuntil6(s309)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12489, 43566])).
% 9.70/7.15 tff(43568,plain,
% 9.70/7.15 (~always3(s309)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5205, 43563])).
% 9.70/7.15 tff(43569,plain,
% 9.70/7.15 (~node4(s309)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12476, 22, 43568])).
% 9.70/7.15 tff(43570,plain,
% 9.70/7.15 (xuntil6(s309) | (~until5(s309))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12483, 36, 43569])).
% 9.70/7.15 tff(43571,plain,
% 9.70/7.15 (~until5(s309)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43570, 43567])).
% 9.70/7.15 tff(43572,plain,
% 9.70/7.15 (~xuntil6(s308)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12472, 43571])).
% 9.70/7.15 tff(43573,plain,
% 9.70/7.15 (~always3(s308)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5217, 43568])).
% 9.70/7.15 tff(43574,plain,
% 9.70/7.15 (~node4(s308)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12459, 22, 43573])).
% 9.70/7.15 tff(43575,plain,
% 9.70/7.15 (xuntil6(s308) | (~until5(s308))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12466, 36, 43574])).
% 9.70/7.15 tff(43576,plain,
% 9.70/7.15 (~until5(s308)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43575, 43572])).
% 9.70/7.15 tff(43577,plain,
% 9.70/7.15 (~xuntil6(s307)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12455, 43576])).
% 9.70/7.15 tff(43578,plain,
% 9.70/7.15 (~always3(s307)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5229, 43573])).
% 9.70/7.15 tff(43579,plain,
% 9.70/7.15 (~node4(s307)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12442, 22, 43578])).
% 9.70/7.15 tff(43580,plain,
% 9.70/7.15 (xuntil6(s307) | (~until5(s307))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12449, 36, 43579])).
% 9.70/7.15 tff(43581,plain,
% 9.70/7.15 (~until5(s307)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43580, 43577])).
% 9.70/7.15 tff(43582,plain,
% 9.70/7.15 (~xuntil6(s306)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12438, 43581])).
% 9.70/7.15 tff(43583,plain,
% 9.70/7.15 (~always3(s306)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5241, 43578])).
% 9.70/7.15 tff(43584,plain,
% 9.70/7.15 (~node4(s306)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12425, 22, 43583])).
% 9.70/7.15 tff(43585,plain,
% 9.70/7.15 (xuntil6(s306) | (~until5(s306))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12432, 36, 43584])).
% 9.70/7.15 tff(43586,plain,
% 9.70/7.15 (~until5(s306)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43585, 43582])).
% 9.70/7.15 tff(43587,plain,
% 9.70/7.15 (~xuntil6(s305)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12421, 43586])).
% 9.70/7.15 tff(43588,plain,
% 9.70/7.15 (~always3(s305)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5253, 43583])).
% 9.70/7.15 tff(43589,plain,
% 9.70/7.15 (~node4(s305)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12408, 22, 43588])).
% 9.70/7.15 tff(43590,plain,
% 9.70/7.15 (xuntil6(s305) | (~until5(s305))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12415, 36, 43589])).
% 9.70/7.15 tff(43591,plain,
% 9.70/7.15 (~until5(s305)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43590, 43587])).
% 9.70/7.15 tff(43592,plain,
% 9.70/7.15 (~xuntil6(s304)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12404, 43591])).
% 9.70/7.15 tff(43593,plain,
% 9.70/7.15 (~always3(s304)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5265, 43588])).
% 9.70/7.15 tff(43594,plain,
% 9.70/7.15 (~node4(s304)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12391, 22, 43593])).
% 9.70/7.15 tff(43595,plain,
% 9.70/7.15 (xuntil6(s304) | (~until5(s304))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12398, 36, 43594])).
% 9.70/7.15 tff(43596,plain,
% 9.70/7.15 (~until5(s304)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43595, 43592])).
% 9.70/7.15 tff(43597,plain,
% 9.70/7.15 (~xuntil6(s303)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12387, 43596])).
% 9.70/7.15 tff(43598,plain,
% 9.70/7.15 (~always3(s303)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5277, 43593])).
% 9.70/7.15 tff(43599,plain,
% 9.70/7.15 (~node4(s303)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12374, 22, 43598])).
% 9.70/7.15 tff(43600,plain,
% 9.70/7.15 (xuntil6(s303) | (~until5(s303))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12381, 36, 43599])).
% 9.70/7.15 tff(43601,plain,
% 9.70/7.15 (~until5(s303)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43600, 43597])).
% 9.70/7.15 tff(43602,plain,
% 9.70/7.15 (~xuntil6(s302)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12370, 43601])).
% 9.70/7.15 tff(43603,plain,
% 9.70/7.15 (~always3(s302)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5289, 43598])).
% 9.70/7.15 tff(43604,plain,
% 9.70/7.15 (~node4(s302)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12357, 22, 43603])).
% 9.70/7.15 tff(43605,plain,
% 9.70/7.15 (xuntil6(s302) | (~until5(s302))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12364, 36, 43604])).
% 9.70/7.15 tff(43606,plain,
% 9.70/7.15 (~until5(s302)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43605, 43602])).
% 9.70/7.15 tff(43607,plain,
% 9.70/7.15 (~xuntil6(s301)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12353, 43606])).
% 9.70/7.15 tff(43608,plain,
% 9.70/7.15 (~always3(s301)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5301, 43603])).
% 9.70/7.15 tff(43609,plain,
% 9.70/7.15 (~node4(s301)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12340, 22, 43608])).
% 9.70/7.15 tff(43610,plain,
% 9.70/7.15 (xuntil6(s301) | (~until5(s301))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12347, 36, 43609])).
% 9.70/7.15 tff(43611,plain,
% 9.70/7.15 (~until5(s301)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43610, 43607])).
% 9.70/7.15 tff(43612,plain,
% 9.70/7.15 (~xuntil6(s300)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12336, 43611])).
% 9.70/7.15 tff(43613,plain,
% 9.70/7.15 (~always3(s300)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5313, 43608])).
% 9.70/7.15 tff(43614,plain,
% 9.70/7.15 (~node4(s300)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12323, 22, 43613])).
% 9.70/7.15 tff(43615,plain,
% 9.70/7.15 (xuntil6(s300) | (~until5(s300))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12330, 36, 43614])).
% 9.70/7.15 tff(43616,plain,
% 9.70/7.15 (~until5(s300)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43615, 43612])).
% 9.70/7.15 tff(43617,plain,
% 9.70/7.15 (~xuntil6(s299)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12319, 43616])).
% 9.70/7.15 tff(43618,plain,
% 9.70/7.15 (~always3(s299)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5325, 43613])).
% 9.70/7.15 tff(43619,plain,
% 9.70/7.15 (~node4(s299)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12306, 22, 43618])).
% 9.70/7.15 tff(43620,plain,
% 9.70/7.15 (xuntil6(s299) | (~until5(s299))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12313, 36, 43619])).
% 9.70/7.15 tff(43621,plain,
% 9.70/7.15 (~until5(s299)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43620, 43617])).
% 9.70/7.15 tff(43622,plain,
% 9.70/7.15 (~xuntil6(s298)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12302, 43621])).
% 9.70/7.15 tff(43623,plain,
% 9.70/7.15 (~always3(s298)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5337, 43618])).
% 9.70/7.15 tff(43624,plain,
% 9.70/7.15 (~node4(s298)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12289, 22, 43623])).
% 9.70/7.15 tff(43625,plain,
% 9.70/7.15 (xuntil6(s298) | (~until5(s298))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12296, 36, 43624])).
% 9.70/7.15 tff(43626,plain,
% 9.70/7.15 (~until5(s298)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43625, 43622])).
% 9.70/7.15 tff(43627,plain,
% 9.70/7.15 (~xuntil6(s297)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12285, 43626])).
% 9.70/7.15 tff(43628,plain,
% 9.70/7.15 (~always3(s297)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5349, 43623])).
% 9.70/7.15 tff(43629,plain,
% 9.70/7.15 (~node4(s297)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12272, 22, 43628])).
% 9.70/7.15 tff(43630,plain,
% 9.70/7.15 (xuntil6(s297) | (~until5(s297))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12279, 36, 43629])).
% 9.70/7.15 tff(43631,plain,
% 9.70/7.15 (~until5(s297)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43630, 43627])).
% 9.70/7.15 tff(43632,plain,
% 9.70/7.15 (~xuntil6(s296)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12268, 43631])).
% 9.70/7.15 tff(43633,plain,
% 9.70/7.15 (~always3(s296)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5361, 43628])).
% 9.70/7.15 tff(43634,plain,
% 9.70/7.15 (~node4(s296)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12255, 22, 43633])).
% 9.70/7.15 tff(43635,plain,
% 9.70/7.15 (xuntil6(s296) | (~until5(s296))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12262, 36, 43634])).
% 9.70/7.15 tff(43636,plain,
% 9.70/7.15 (~until5(s296)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43635, 43632])).
% 9.70/7.15 tff(43637,plain,
% 9.70/7.15 (~xuntil6(s295)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12251, 43636])).
% 9.70/7.15 tff(43638,plain,
% 9.70/7.15 (~always3(s295)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5373, 43633])).
% 9.70/7.15 tff(43639,plain,
% 9.70/7.15 (~node4(s295)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12238, 22, 43638])).
% 9.70/7.15 tff(43640,plain,
% 9.70/7.15 (xuntil6(s295) | (~until5(s295))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12245, 36, 43639])).
% 9.70/7.15 tff(43641,plain,
% 9.70/7.15 (~until5(s295)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43640, 43637])).
% 9.70/7.15 tff(43642,plain,
% 9.70/7.15 (~xuntil6(s294)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12234, 43641])).
% 9.70/7.15 tff(43643,plain,
% 9.70/7.15 (~always3(s294)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5385, 43638])).
% 9.70/7.15 tff(43644,plain,
% 9.70/7.15 (~node4(s294)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12221, 22, 43643])).
% 9.70/7.15 tff(43645,plain,
% 9.70/7.15 (xuntil6(s294) | (~until5(s294))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12228, 36, 43644])).
% 9.70/7.15 tff(43646,plain,
% 9.70/7.15 (~until5(s294)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43645, 43642])).
% 9.70/7.15 tff(43647,plain,
% 9.70/7.15 (~xuntil6(s293)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12217, 43646])).
% 9.70/7.15 tff(43648,plain,
% 9.70/7.15 (~always3(s293)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5397, 43643])).
% 9.70/7.15 tff(43649,plain,
% 9.70/7.15 (~node4(s293)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12204, 22, 43648])).
% 9.70/7.15 tff(43650,plain,
% 9.70/7.15 (xuntil6(s293) | (~until5(s293))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12211, 36, 43649])).
% 9.70/7.15 tff(43651,plain,
% 9.70/7.15 (~until5(s293)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43650, 43647])).
% 9.70/7.15 tff(43652,plain,
% 9.70/7.15 (~xuntil6(s292)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12200, 43651])).
% 9.70/7.15 tff(43653,plain,
% 9.70/7.15 (~always3(s292)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5409, 43648])).
% 9.70/7.15 tff(43654,plain,
% 9.70/7.15 (~node4(s292)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12187, 22, 43653])).
% 9.70/7.15 tff(43655,plain,
% 9.70/7.15 (xuntil6(s292) | (~until5(s292))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12194, 36, 43654])).
% 9.70/7.15 tff(43656,plain,
% 9.70/7.15 (~until5(s292)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43655, 43652])).
% 9.70/7.15 tff(43657,plain,
% 9.70/7.15 (~xuntil6(s291)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12183, 43656])).
% 9.70/7.15 tff(43658,plain,
% 9.70/7.15 (~always3(s291)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5421, 43653])).
% 9.70/7.15 tff(43659,plain,
% 9.70/7.15 (~node4(s291)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12170, 22, 43658])).
% 9.70/7.15 tff(43660,plain,
% 9.70/7.15 (xuntil6(s291) | (~until5(s291))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12177, 36, 43659])).
% 9.70/7.15 tff(43661,plain,
% 9.70/7.15 (~until5(s291)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43660, 43657])).
% 9.70/7.15 tff(43662,plain,
% 9.70/7.15 (~xuntil6(s290)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12166, 43661])).
% 9.70/7.15 tff(43663,plain,
% 9.70/7.15 (~always3(s290)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5433, 43658])).
% 9.70/7.15 tff(43664,plain,
% 9.70/7.15 (~node4(s290)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12153, 22, 43663])).
% 9.70/7.15 tff(43665,plain,
% 9.70/7.15 (xuntil6(s290) | (~until5(s290))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12160, 36, 43664])).
% 9.70/7.15 tff(43666,plain,
% 9.70/7.15 (~until5(s290)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43665, 43662])).
% 9.70/7.15 tff(43667,plain,
% 9.70/7.15 (~xuntil6(s289)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12149, 43666])).
% 9.70/7.15 tff(43668,plain,
% 9.70/7.15 (~always3(s289)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5445, 43663])).
% 9.70/7.15 tff(43669,plain,
% 9.70/7.15 (~node4(s289)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12136, 22, 43668])).
% 9.70/7.15 tff(43670,plain,
% 9.70/7.15 (xuntil6(s289) | (~until5(s289))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12143, 36, 43669])).
% 9.70/7.15 tff(43671,plain,
% 9.70/7.15 (~until5(s289)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43670, 43667])).
% 9.70/7.15 tff(43672,plain,
% 9.70/7.15 (~xuntil6(s288)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12132, 43671])).
% 9.70/7.15 tff(43673,plain,
% 9.70/7.15 (~always3(s288)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5457, 43668])).
% 9.70/7.15 tff(43674,plain,
% 9.70/7.15 (~node4(s288)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12119, 22, 43673])).
% 9.70/7.15 tff(43675,plain,
% 9.70/7.15 (xuntil6(s288) | (~until5(s288))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12126, 36, 43674])).
% 9.70/7.15 tff(43676,plain,
% 9.70/7.15 (~until5(s288)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43675, 43672])).
% 9.70/7.15 tff(43677,plain,
% 9.70/7.15 (~xuntil6(s287)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12115, 43676])).
% 9.70/7.15 tff(43678,plain,
% 9.70/7.15 (~always3(s287)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5469, 43673])).
% 9.70/7.15 tff(43679,plain,
% 9.70/7.15 (~node4(s287)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12102, 22, 43678])).
% 9.70/7.15 tff(43680,plain,
% 9.70/7.15 (xuntil6(s287) | (~until5(s287))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12109, 36, 43679])).
% 9.70/7.15 tff(43681,plain,
% 9.70/7.15 (~until5(s287)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43680, 43677])).
% 9.70/7.15 tff(43682,plain,
% 9.70/7.15 (~xuntil6(s286)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12098, 43681])).
% 9.70/7.15 tff(43683,plain,
% 9.70/7.15 (~always3(s286)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5481, 43678])).
% 9.70/7.15 tff(43684,plain,
% 9.70/7.15 (~node4(s286)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12085, 22, 43683])).
% 9.70/7.15 tff(43685,plain,
% 9.70/7.15 (xuntil6(s286) | (~until5(s286))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12092, 36, 43684])).
% 9.70/7.15 tff(43686,plain,
% 9.70/7.15 (~until5(s286)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43685, 43682])).
% 9.70/7.15 tff(43687,plain,
% 9.70/7.15 (~xuntil6(s285)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12081, 43686])).
% 9.70/7.15 tff(43688,plain,
% 9.70/7.15 (~always3(s285)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5493, 43683])).
% 9.70/7.15 tff(43689,plain,
% 9.70/7.15 (~node4(s285)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12068, 22, 43688])).
% 9.70/7.15 tff(43690,plain,
% 9.70/7.15 (xuntil6(s285) | (~until5(s285))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12075, 36, 43689])).
% 9.70/7.15 tff(43691,plain,
% 9.70/7.15 (~until5(s285)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43690, 43687])).
% 9.70/7.15 tff(43692,plain,
% 9.70/7.15 (~xuntil6(s284)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12064, 43691])).
% 9.70/7.15 tff(43693,plain,
% 9.70/7.15 (~always3(s284)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5505, 43688])).
% 9.70/7.15 tff(43694,plain,
% 9.70/7.15 (~node4(s284)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12051, 22, 43693])).
% 9.70/7.15 tff(43695,plain,
% 9.70/7.15 (xuntil6(s284) | (~until5(s284))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12058, 36, 43694])).
% 9.70/7.15 tff(43696,plain,
% 9.70/7.15 (~until5(s284)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43695, 43692])).
% 9.70/7.15 tff(43697,plain,
% 9.70/7.15 (~xuntil6(s283)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12047, 43696])).
% 9.70/7.15 tff(43698,plain,
% 9.70/7.15 (~always3(s283)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5517, 43693])).
% 9.70/7.15 tff(43699,plain,
% 9.70/7.15 (~node4(s283)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12034, 22, 43698])).
% 9.70/7.15 tff(43700,plain,
% 9.70/7.15 (xuntil6(s283) | (~until5(s283))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12041, 36, 43699])).
% 9.70/7.15 tff(43701,plain,
% 9.70/7.15 (~until5(s283)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43700, 43697])).
% 9.70/7.15 tff(43702,plain,
% 9.70/7.15 (~xuntil6(s282)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12030, 43701])).
% 9.70/7.15 tff(43703,plain,
% 9.70/7.15 (~always3(s282)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5529, 43698])).
% 9.70/7.15 tff(43704,plain,
% 9.70/7.15 (~node4(s282)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12017, 22, 43703])).
% 9.70/7.15 tff(43705,plain,
% 9.70/7.15 (xuntil6(s282) | (~until5(s282))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12024, 36, 43704])).
% 9.70/7.15 tff(43706,plain,
% 9.70/7.15 (~until5(s282)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43705, 43702])).
% 9.70/7.15 tff(43707,plain,
% 9.70/7.15 (~xuntil6(s281)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12013, 43706])).
% 9.70/7.15 tff(43708,plain,
% 9.70/7.15 (~always3(s281)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5541, 43703])).
% 9.70/7.15 tff(43709,plain,
% 9.70/7.15 (~node4(s281)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12000, 22, 43708])).
% 9.70/7.15 tff(43710,plain,
% 9.70/7.15 (xuntil6(s281) | (~until5(s281))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[12007, 36, 43709])).
% 9.70/7.15 tff(43711,plain,
% 9.70/7.15 (~until5(s281)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43710, 43707])).
% 9.70/7.15 tff(43712,plain,
% 9.70/7.15 (~xuntil6(s280)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[11996, 43711])).
% 9.70/7.15 tff(43713,plain,
% 9.70/7.15 (~always3(s280)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5553, 43708])).
% 9.70/7.15 tff(43714,plain,
% 9.70/7.15 (~node4(s280)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[11983, 22, 43713])).
% 9.70/7.15 tff(43715,plain,
% 9.70/7.15 (xuntil6(s280) | (~until5(s280))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[11990, 36, 43714])).
% 9.70/7.15 tff(43716,plain,
% 9.70/7.15 (~until5(s280)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43715, 43712])).
% 9.70/7.15 tff(43717,plain,
% 9.70/7.15 (~xuntil6(s279)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[11979, 43716])).
% 9.70/7.15 tff(43718,plain,
% 9.70/7.15 (~always3(s279)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5565, 43713])).
% 9.70/7.15 tff(43719,plain,
% 9.70/7.15 (~node4(s279)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[11966, 22, 43718])).
% 9.70/7.15 tff(43720,plain,
% 9.70/7.15 (xuntil6(s279) | (~until5(s279))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[11973, 36, 43719])).
% 9.70/7.15 tff(43721,plain,
% 9.70/7.15 (~until5(s279)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43720, 43717])).
% 9.70/7.15 tff(43722,plain,
% 9.70/7.15 (~xuntil6(s278)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[11962, 43721])).
% 9.70/7.15 tff(43723,plain,
% 9.70/7.15 (~always3(s278)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5577, 43718])).
% 9.70/7.15 tff(43724,plain,
% 9.70/7.15 (~node4(s278)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[11949, 22, 43723])).
% 9.70/7.15 tff(43725,plain,
% 9.70/7.15 (xuntil6(s278) | (~until5(s278))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[11956, 36, 43724])).
% 9.70/7.15 tff(43726,plain,
% 9.70/7.15 (~until5(s278)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43725, 43722])).
% 9.70/7.15 tff(43727,plain,
% 9.70/7.15 (~xuntil6(s277)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[11945, 43726])).
% 9.70/7.15 tff(43728,plain,
% 9.70/7.15 (~always3(s277)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5589, 43723])).
% 9.70/7.15 tff(43729,plain,
% 9.70/7.15 (~node4(s277)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[11932, 22, 43728])).
% 9.70/7.15 tff(43730,plain,
% 9.70/7.15 (xuntil6(s277) | (~until5(s277))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[11939, 36, 43729])).
% 9.70/7.15 tff(43731,plain,
% 9.70/7.15 (~until5(s277)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[43730, 43727])).
% 9.70/7.15 tff(43732,plain,
% 9.70/7.15 (~xuntil6(s276)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[11928, 43731])).
% 9.70/7.15 tff(43733,plain,
% 9.70/7.15 (~always3(s276)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[5601, 43728])).
% 9.70/7.15 tff(43734,plain,
% 9.70/7.15 (~node4(s276)),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[11915, 22, 43733])).
% 9.70/7.15 tff(43735,plain,
% 9.70/7.15 (xuntil6(s276) | (~until5(s276))),
% 9.70/7.15 inference(unit_resolution,[status(thm)],[11922, 36, 43734])).
% 9.70/7.16 tff(43736,plain,
% 9.70/7.16 (~until5(s276)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43735, 43732])).
% 9.70/7.16 tff(43737,plain,
% 9.70/7.16 (~xuntil6(s275)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11911, 43736])).
% 9.70/7.16 tff(43738,plain,
% 9.70/7.16 (~always3(s275)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5613, 43733])).
% 9.70/7.16 tff(43739,plain,
% 9.70/7.16 (~node4(s275)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11898, 22, 43738])).
% 9.70/7.16 tff(43740,plain,
% 9.70/7.16 (xuntil6(s275) | (~until5(s275))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11905, 36, 43739])).
% 9.70/7.16 tff(43741,plain,
% 9.70/7.16 (~until5(s275)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43740, 43737])).
% 9.70/7.16 tff(43742,plain,
% 9.70/7.16 (~xuntil6(s274)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11894, 43741])).
% 9.70/7.16 tff(43743,plain,
% 9.70/7.16 (~always3(s274)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5625, 43738])).
% 9.70/7.16 tff(43744,plain,
% 9.70/7.16 (~node4(s274)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11881, 22, 43743])).
% 9.70/7.16 tff(43745,plain,
% 9.70/7.16 (xuntil6(s274) | (~until5(s274))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11888, 36, 43744])).
% 9.70/7.16 tff(43746,plain,
% 9.70/7.16 (~until5(s274)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43745, 43742])).
% 9.70/7.16 tff(43747,plain,
% 9.70/7.16 (~always3(s273)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5637, 43743])).
% 9.70/7.16 tff(43748,plain,
% 9.70/7.16 (~always3(s272)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5649, 43747])).
% 9.70/7.16 tff(43749,plain,
% 9.70/7.16 (~always3(s271)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5661, 43748])).
% 9.70/7.16 tff(43750,plain,
% 9.70/7.16 (~always3(s270)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5673, 43749])).
% 9.70/7.16 tff(43751,plain,
% 9.70/7.16 (~always3(s269)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5685, 43750])).
% 9.70/7.16 tff(43752,plain,
% 9.70/7.16 (~always3(s268)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5697, 43751])).
% 9.70/7.16 tff(43753,plain,
% 9.70/7.16 (~always3(s267)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5709, 43752])).
% 9.70/7.16 tff(43754,plain,
% 9.70/7.16 (~always3(s266)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5721, 43753])).
% 9.70/7.16 tff(43755,plain,
% 9.70/7.16 (~always3(s265)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5733, 43754])).
% 9.70/7.16 tff(43756,plain,
% 9.70/7.16 (~always3(s264)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5745, 43755])).
% 9.70/7.16 tff(43757,plain,
% 9.70/7.16 (~always3(s263)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5757, 43756])).
% 9.70/7.16 tff(43758,plain,
% 9.70/7.16 (~always3(s262)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5769, 43757])).
% 9.70/7.16 tff(43759,plain,
% 9.70/7.16 (~always3(s261)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5781, 43758])).
% 9.70/7.16 tff(43760,plain,
% 9.70/7.16 (~always3(s260)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5793, 43759])).
% 9.70/7.16 tff(43761,plain,
% 9.70/7.16 (~always3(s259)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5805, 43760])).
% 9.70/7.16 tff(43762,plain,
% 9.70/7.16 (~always3(s258)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5817, 43761])).
% 9.70/7.16 tff(43763,plain,
% 9.70/7.16 (~always3(s257)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5829, 43762])).
% 9.70/7.16 tff(43764,plain,
% 9.70/7.16 (~always3(s256)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5841, 43763])).
% 9.70/7.16 tff(43765,plain,
% 9.70/7.16 (~always3(s255)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5853, 43764])).
% 9.70/7.16 tff(43766,plain,
% 9.70/7.16 (~always3(s254)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5865, 43765])).
% 9.70/7.16 tff(43767,plain,
% 9.70/7.16 (~always3(s253)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5092, 43766])).
% 9.70/7.16 tff(43768,plain,
% 9.70/7.16 (~always3(s252)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5878, 43767])).
% 9.70/7.16 tff(43769,plain,
% 9.70/7.16 (~always3(s251)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5890, 43768])).
% 9.70/7.16 tff(43770,plain,
% 9.70/7.16 (~always3(s250)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5902, 43769])).
% 9.70/7.16 tff(43771,plain,
% 9.70/7.16 (~always3(s249)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5914, 43770])).
% 9.70/7.16 tff(43772,plain,
% 9.70/7.16 (~always3(s248)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5926, 43771])).
% 9.70/7.16 tff(43773,plain,
% 9.70/7.16 (~always3(s247)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5938, 43772])).
% 9.70/7.16 tff(43774,plain,
% 9.70/7.16 (~always3(s246)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5950, 43773])).
% 9.70/7.16 tff(43775,plain,
% 9.70/7.16 (~always3(s245)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5962, 43774])).
% 9.70/7.16 tff(43776,plain,
% 9.70/7.16 (~always3(s244)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5974, 43775])).
% 9.70/7.16 tff(43777,plain,
% 9.70/7.16 (~always3(s243)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5986, 43776])).
% 9.70/7.16 tff(43778,plain,
% 9.70/7.16 (~always3(s242)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5998, 43777])).
% 9.70/7.16 tff(43779,plain,
% 9.70/7.16 (~always3(s241)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6010, 43778])).
% 9.70/7.16 tff(43780,plain,
% 9.70/7.16 (~always3(s240)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6022, 43779])).
% 9.70/7.16 tff(43781,plain,
% 9.70/7.16 (~always3(s239)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6034, 43780])).
% 9.70/7.16 tff(43782,plain,
% 9.70/7.16 (~always3(s238)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6046, 43781])).
% 9.70/7.16 tff(43783,plain,
% 9.70/7.16 (~always3(s237)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6058, 43782])).
% 9.70/7.16 tff(43784,plain,
% 9.70/7.16 (~always3(s236)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6070, 43783])).
% 9.70/7.16 tff(43785,plain,
% 9.70/7.16 (~always3(s235)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6082, 43784])).
% 9.70/7.16 tff(43786,plain,
% 9.70/7.16 (~always3(s234)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6094, 43785])).
% 9.70/7.16 tff(43787,plain,
% 9.70/7.16 (~always3(s233)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6106, 43786])).
% 9.70/7.16 tff(43788,plain,
% 9.70/7.16 (~always3(s232)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6118, 43787])).
% 9.70/7.16 tff(43789,plain,
% 9.70/7.16 (~always3(s231)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6130, 43788])).
% 9.70/7.16 tff(43790,plain,
% 9.70/7.16 (~always3(s230)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6142, 43789])).
% 9.70/7.16 tff(43791,plain,
% 9.70/7.16 (~always3(s229)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6154, 43790])).
% 9.70/7.16 tff(43792,plain,
% 9.70/7.16 (~always3(s228)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6166, 43791])).
% 9.70/7.16 tff(43793,plain,
% 9.70/7.16 (~always3(s227)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6178, 43792])).
% 9.70/7.16 tff(43794,plain,
% 9.70/7.16 (~always3(s226)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6190, 43793])).
% 9.70/7.16 tff(43795,plain,
% 9.70/7.16 (~always3(s225)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6202, 43794])).
% 9.70/7.16 tff(43796,plain,
% 9.70/7.16 (~always3(s224)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6214, 43795])).
% 9.70/7.16 tff(43797,plain,
% 9.70/7.16 (~always3(s223)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6226, 43796])).
% 9.70/7.16 tff(43798,plain,
% 9.70/7.16 (~always3(s222)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6238, 43797])).
% 9.70/7.16 tff(43799,plain,
% 9.70/7.16 (~always3(s221)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6250, 43798])).
% 9.70/7.16 tff(43800,plain,
% 9.70/7.16 (~always3(s220)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6262, 43799])).
% 9.70/7.16 tff(43801,plain,
% 9.70/7.16 (~always3(s219)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6274, 43800])).
% 9.70/7.16 tff(43802,plain,
% 9.70/7.16 (~always3(s218)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6286, 43801])).
% 9.70/7.16 tff(43803,plain,
% 9.70/7.16 (~always3(s217)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6298, 43802])).
% 9.70/7.16 tff(43804,plain,
% 9.70/7.16 (~node4(s217)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6302, 22, 43803])).
% 9.70/7.16 tff(43805,plain,
% 9.70/7.16 (~always3(s216)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6314, 43803])).
% 9.70/7.16 tff(43806,plain,
% 9.70/7.16 (~node4(s216)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6318, 22, 43805])).
% 9.70/7.16 tff(43807,plain,
% 9.70/7.16 (~always3(s215)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[6331, 43805])).
% 9.70/7.16 tff(43808,plain,
% 9.70/7.16 (xuntil6(s215)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[10898, 43807, 6320])).
% 9.70/7.16 tff(43809,plain,
% 9.70/7.16 (until5(s216)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[10903, 43808])).
% 9.70/7.16 tff(43810,plain,
% 9.70/7.16 (xuntil6(s216) | node4(s216)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[10910, 36, 43809])).
% 9.70/7.16 tff(43811,plain,
% 9.70/7.16 (xuntil6(s216)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43810, 43806])).
% 9.70/7.16 tff(43812,plain,
% 9.70/7.16 (until5(s217)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[10916, 43811])).
% 9.70/7.16 tff(43813,plain,
% 9.70/7.16 (xuntil6(s217)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[10923, 36, 43812, 43804])).
% 9.70/7.16 tff(43814,plain,
% 9.70/7.16 (until5(s218)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[10928, 43813])).
% 9.70/7.16 tff(43815,plain,
% 9.70/7.16 (~node4(s218)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[10932, 22, 43802])).
% 9.70/7.16 tff(43816,plain,
% 9.70/7.16 (xuntil6(s218) | (~until5(s218))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[10939, 36, 43815])).
% 9.70/7.16 tff(43817,plain,
% 9.70/7.16 (xuntil6(s218)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43816, 43814])).
% 9.70/7.16 tff(43818,plain,
% 9.70/7.16 (until5(s219)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[10945, 43817])).
% 9.70/7.16 tff(43819,plain,
% 9.70/7.16 (~node4(s219)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[10949, 22, 43801])).
% 9.70/7.16 tff(43820,plain,
% 9.70/7.16 (xuntil6(s219) | (~until5(s219))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[10956, 36, 43819])).
% 9.70/7.16 tff(43821,plain,
% 9.70/7.16 (xuntil6(s219)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43820, 43818])).
% 9.70/7.16 tff(43822,plain,
% 9.70/7.16 (until5(s220)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[10962, 43821])).
% 9.70/7.16 tff(43823,plain,
% 9.70/7.16 (~node4(s220)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[10966, 22, 43800])).
% 9.70/7.16 tff(43824,plain,
% 9.70/7.16 (xuntil6(s220) | (~until5(s220))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[10973, 36, 43823])).
% 9.70/7.16 tff(43825,plain,
% 9.70/7.16 (xuntil6(s220)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43824, 43822])).
% 9.70/7.16 tff(43826,plain,
% 9.70/7.16 (until5(s221)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[10979, 43825])).
% 9.70/7.16 tff(43827,plain,
% 9.70/7.16 (~node4(s221)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[10983, 22, 43799])).
% 9.70/7.16 tff(43828,plain,
% 9.70/7.16 (xuntil6(s221) | (~until5(s221))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[10990, 36, 43827])).
% 9.70/7.16 tff(43829,plain,
% 9.70/7.16 (xuntil6(s221)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43828, 43826])).
% 9.70/7.16 tff(43830,plain,
% 9.70/7.16 (until5(s222)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[10996, 43829])).
% 9.70/7.16 tff(43831,plain,
% 9.70/7.16 (~node4(s222)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11000, 22, 43798])).
% 9.70/7.16 tff(43832,plain,
% 9.70/7.16 (xuntil6(s222) | (~until5(s222))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11007, 36, 43831])).
% 9.70/7.16 tff(43833,plain,
% 9.70/7.16 (xuntil6(s222)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43832, 43830])).
% 9.70/7.16 tff(43834,plain,
% 9.70/7.16 (until5(s223)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11013, 43833])).
% 9.70/7.16 tff(43835,plain,
% 9.70/7.16 (~node4(s223)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11017, 22, 43797])).
% 9.70/7.16 tff(43836,plain,
% 9.70/7.16 (xuntil6(s223) | (~until5(s223))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11024, 36, 43835])).
% 9.70/7.16 tff(43837,plain,
% 9.70/7.16 (xuntil6(s223)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43836, 43834])).
% 9.70/7.16 tff(43838,plain,
% 9.70/7.16 (until5(s224)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11030, 43837])).
% 9.70/7.16 tff(43839,plain,
% 9.70/7.16 (~node4(s224)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11034, 22, 43796])).
% 9.70/7.16 tff(43840,plain,
% 9.70/7.16 (xuntil6(s224) | (~until5(s224))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11041, 36, 43839])).
% 9.70/7.16 tff(43841,plain,
% 9.70/7.16 (xuntil6(s224)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43840, 43838])).
% 9.70/7.16 tff(43842,plain,
% 9.70/7.16 (until5(s225)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11047, 43841])).
% 9.70/7.16 tff(43843,plain,
% 9.70/7.16 (~node4(s225)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11051, 22, 43795])).
% 9.70/7.16 tff(43844,plain,
% 9.70/7.16 (xuntil6(s225) | (~until5(s225))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11058, 36, 43843])).
% 9.70/7.16 tff(43845,plain,
% 9.70/7.16 (xuntil6(s225)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43844, 43842])).
% 9.70/7.16 tff(43846,plain,
% 9.70/7.16 (until5(s226)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11064, 43845])).
% 9.70/7.16 tff(43847,plain,
% 9.70/7.16 (~node4(s226)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11068, 22, 43794])).
% 9.70/7.16 tff(43848,plain,
% 9.70/7.16 (xuntil6(s226) | (~until5(s226))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11075, 36, 43847])).
% 9.70/7.16 tff(43849,plain,
% 9.70/7.16 (xuntil6(s226)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43848, 43846])).
% 9.70/7.16 tff(43850,plain,
% 9.70/7.16 (until5(s227)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11081, 43849])).
% 9.70/7.16 tff(43851,plain,
% 9.70/7.16 (~node4(s227)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11085, 22, 43793])).
% 9.70/7.16 tff(43852,plain,
% 9.70/7.16 (xuntil6(s227) | (~until5(s227))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11092, 36, 43851])).
% 9.70/7.16 tff(43853,plain,
% 9.70/7.16 (xuntil6(s227)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43852, 43850])).
% 9.70/7.16 tff(43854,plain,
% 9.70/7.16 (until5(s228)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11098, 43853])).
% 9.70/7.16 tff(43855,plain,
% 9.70/7.16 (~node4(s228)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11102, 22, 43792])).
% 9.70/7.16 tff(43856,plain,
% 9.70/7.16 (xuntil6(s228) | (~until5(s228))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11109, 36, 43855])).
% 9.70/7.16 tff(43857,plain,
% 9.70/7.16 (xuntil6(s228)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43856, 43854])).
% 9.70/7.16 tff(43858,plain,
% 9.70/7.16 (until5(s229)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11115, 43857])).
% 9.70/7.16 tff(43859,plain,
% 9.70/7.16 (~node4(s229)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11119, 22, 43791])).
% 9.70/7.16 tff(43860,plain,
% 9.70/7.16 (xuntil6(s229) | (~until5(s229))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11126, 36, 43859])).
% 9.70/7.16 tff(43861,plain,
% 9.70/7.16 (xuntil6(s229)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43860, 43858])).
% 9.70/7.16 tff(43862,plain,
% 9.70/7.16 (until5(s230)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11132, 43861])).
% 9.70/7.16 tff(43863,plain,
% 9.70/7.16 (~node4(s230)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11136, 22, 43790])).
% 9.70/7.16 tff(43864,plain,
% 9.70/7.16 (xuntil6(s230) | (~until5(s230))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11143, 36, 43863])).
% 9.70/7.16 tff(43865,plain,
% 9.70/7.16 (xuntil6(s230)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43864, 43862])).
% 9.70/7.16 tff(43866,plain,
% 9.70/7.16 (until5(s231)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11149, 43865])).
% 9.70/7.16 tff(43867,plain,
% 9.70/7.16 (~node4(s231)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11153, 22, 43789])).
% 9.70/7.16 tff(43868,plain,
% 9.70/7.16 (xuntil6(s231) | (~until5(s231))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11160, 36, 43867])).
% 9.70/7.16 tff(43869,plain,
% 9.70/7.16 (xuntil6(s231)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43868, 43866])).
% 9.70/7.16 tff(43870,plain,
% 9.70/7.16 (until5(s232)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11166, 43869])).
% 9.70/7.16 tff(43871,plain,
% 9.70/7.16 (~node4(s232)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11170, 22, 43788])).
% 9.70/7.16 tff(43872,plain,
% 9.70/7.16 (xuntil6(s232) | (~until5(s232))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11177, 36, 43871])).
% 9.70/7.16 tff(43873,plain,
% 9.70/7.16 (xuntil6(s232)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43872, 43870])).
% 9.70/7.16 tff(43874,plain,
% 9.70/7.16 (until5(s233)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11183, 43873])).
% 9.70/7.16 tff(43875,plain,
% 9.70/7.16 (~node4(s233)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11187, 22, 43787])).
% 9.70/7.16 tff(43876,plain,
% 9.70/7.16 (xuntil6(s233) | (~until5(s233))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11194, 36, 43875])).
% 9.70/7.16 tff(43877,plain,
% 9.70/7.16 (xuntil6(s233)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43876, 43874])).
% 9.70/7.16 tff(43878,plain,
% 9.70/7.16 (until5(s234)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11200, 43877])).
% 9.70/7.16 tff(43879,plain,
% 9.70/7.16 (~node4(s234)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11204, 22, 43786])).
% 9.70/7.16 tff(43880,plain,
% 9.70/7.16 (xuntil6(s234) | (~until5(s234))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11211, 36, 43879])).
% 9.70/7.16 tff(43881,plain,
% 9.70/7.16 (xuntil6(s234)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43880, 43878])).
% 9.70/7.16 tff(43882,plain,
% 9.70/7.16 (until5(s235)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11217, 43881])).
% 9.70/7.16 tff(43883,plain,
% 9.70/7.16 (~node4(s235)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11221, 22, 43785])).
% 9.70/7.16 tff(43884,plain,
% 9.70/7.16 (xuntil6(s235) | (~until5(s235))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11228, 36, 43883])).
% 9.70/7.16 tff(43885,plain,
% 9.70/7.16 (xuntil6(s235)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43884, 43882])).
% 9.70/7.16 tff(43886,plain,
% 9.70/7.16 (until5(s236)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11234, 43885])).
% 9.70/7.16 tff(43887,plain,
% 9.70/7.16 (~node4(s236)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11238, 22, 43784])).
% 9.70/7.16 tff(43888,plain,
% 9.70/7.16 (xuntil6(s236) | (~until5(s236))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11245, 36, 43887])).
% 9.70/7.16 tff(43889,plain,
% 9.70/7.16 (xuntil6(s236)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43888, 43886])).
% 9.70/7.16 tff(43890,plain,
% 9.70/7.16 (until5(s237)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11251, 43889])).
% 9.70/7.16 tff(43891,plain,
% 9.70/7.16 (~node4(s237)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11255, 22, 43783])).
% 9.70/7.16 tff(43892,plain,
% 9.70/7.16 (xuntil6(s237) | (~until5(s237))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11262, 36, 43891])).
% 9.70/7.16 tff(43893,plain,
% 9.70/7.16 (xuntil6(s237)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43892, 43890])).
% 9.70/7.16 tff(43894,plain,
% 9.70/7.16 (until5(s238)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11268, 43893])).
% 9.70/7.16 tff(43895,plain,
% 9.70/7.16 (~node4(s238)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11272, 22, 43782])).
% 9.70/7.16 tff(43896,plain,
% 9.70/7.16 (xuntil6(s238) | (~until5(s238))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11279, 36, 43895])).
% 9.70/7.16 tff(43897,plain,
% 9.70/7.16 (xuntil6(s238)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43896, 43894])).
% 9.70/7.16 tff(43898,plain,
% 9.70/7.16 (until5(s239)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11285, 43897])).
% 9.70/7.16 tff(43899,plain,
% 9.70/7.16 (~node4(s239)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11289, 22, 43781])).
% 9.70/7.16 tff(43900,plain,
% 9.70/7.16 (xuntil6(s239) | (~until5(s239))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11296, 36, 43899])).
% 9.70/7.16 tff(43901,plain,
% 9.70/7.16 (xuntil6(s239)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43900, 43898])).
% 9.70/7.16 tff(43902,plain,
% 9.70/7.16 (until5(s240)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11302, 43901])).
% 9.70/7.16 tff(43903,plain,
% 9.70/7.16 (~node4(s240)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11306, 22, 43780])).
% 9.70/7.16 tff(43904,plain,
% 9.70/7.16 (xuntil6(s240) | (~until5(s240))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11313, 36, 43903])).
% 9.70/7.16 tff(43905,plain,
% 9.70/7.16 (xuntil6(s240)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43904, 43902])).
% 9.70/7.16 tff(43906,plain,
% 9.70/7.16 (until5(s241)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11319, 43905])).
% 9.70/7.16 tff(43907,plain,
% 9.70/7.16 (~node4(s241)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11323, 22, 43779])).
% 9.70/7.16 tff(43908,plain,
% 9.70/7.16 (xuntil6(s241) | (~until5(s241))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11330, 36, 43907])).
% 9.70/7.16 tff(43909,plain,
% 9.70/7.16 (xuntil6(s241)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43908, 43906])).
% 9.70/7.16 tff(43910,plain,
% 9.70/7.16 (until5(s242)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11336, 43909])).
% 9.70/7.16 tff(43911,plain,
% 9.70/7.16 (~node4(s242)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11340, 22, 43778])).
% 9.70/7.16 tff(43912,plain,
% 9.70/7.16 (xuntil6(s242) | (~until5(s242))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11347, 36, 43911])).
% 9.70/7.16 tff(43913,plain,
% 9.70/7.16 (xuntil6(s242)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43912, 43910])).
% 9.70/7.16 tff(43914,plain,
% 9.70/7.16 (until5(s243)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11353, 43913])).
% 9.70/7.16 tff(43915,plain,
% 9.70/7.16 (~node4(s243)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11357, 22, 43777])).
% 9.70/7.16 tff(43916,plain,
% 9.70/7.16 (xuntil6(s243) | (~until5(s243))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11364, 36, 43915])).
% 9.70/7.16 tff(43917,plain,
% 9.70/7.16 (xuntil6(s243)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43916, 43914])).
% 9.70/7.16 tff(43918,plain,
% 9.70/7.16 (until5(s244)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11370, 43917])).
% 9.70/7.16 tff(43919,plain,
% 9.70/7.16 (~node4(s244)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11374, 22, 43776])).
% 9.70/7.16 tff(43920,plain,
% 9.70/7.16 (xuntil6(s244) | (~until5(s244))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11381, 36, 43919])).
% 9.70/7.16 tff(43921,plain,
% 9.70/7.16 (xuntil6(s244)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43920, 43918])).
% 9.70/7.16 tff(43922,plain,
% 9.70/7.16 (until5(s245)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11387, 43921])).
% 9.70/7.16 tff(43923,plain,
% 9.70/7.16 (~node4(s245)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11391, 22, 43775])).
% 9.70/7.16 tff(43924,plain,
% 9.70/7.16 (xuntil6(s245) | (~until5(s245))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11398, 36, 43923])).
% 9.70/7.16 tff(43925,plain,
% 9.70/7.16 (xuntil6(s245)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43924, 43922])).
% 9.70/7.16 tff(43926,plain,
% 9.70/7.16 (until5(s246)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11404, 43925])).
% 9.70/7.16 tff(43927,plain,
% 9.70/7.16 (~node4(s246)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11408, 22, 43774])).
% 9.70/7.16 tff(43928,plain,
% 9.70/7.16 (xuntil6(s246) | (~until5(s246))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11415, 36, 43927])).
% 9.70/7.16 tff(43929,plain,
% 9.70/7.16 (xuntil6(s246)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43928, 43926])).
% 9.70/7.16 tff(43930,plain,
% 9.70/7.16 (until5(s247)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11421, 43929])).
% 9.70/7.16 tff(43931,plain,
% 9.70/7.16 (~node4(s247)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11425, 22, 43773])).
% 9.70/7.16 tff(43932,plain,
% 9.70/7.16 (xuntil6(s247) | (~until5(s247))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11432, 36, 43931])).
% 9.70/7.16 tff(43933,plain,
% 9.70/7.16 (xuntil6(s247)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43932, 43930])).
% 9.70/7.16 tff(43934,plain,
% 9.70/7.16 (until5(s248)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11438, 43933])).
% 9.70/7.16 tff(43935,plain,
% 9.70/7.16 (~node4(s248)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11442, 22, 43772])).
% 9.70/7.16 tff(43936,plain,
% 9.70/7.16 (xuntil6(s248) | (~until5(s248))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11449, 36, 43935])).
% 9.70/7.16 tff(43937,plain,
% 9.70/7.16 (xuntil6(s248)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43936, 43934])).
% 9.70/7.16 tff(43938,plain,
% 9.70/7.16 (until5(s249)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11455, 43937])).
% 9.70/7.16 tff(43939,plain,
% 9.70/7.16 (~node4(s249)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11459, 22, 43771])).
% 9.70/7.16 tff(43940,plain,
% 9.70/7.16 (xuntil6(s249) | (~until5(s249))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11466, 36, 43939])).
% 9.70/7.16 tff(43941,plain,
% 9.70/7.16 (xuntil6(s249)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43940, 43938])).
% 9.70/7.16 tff(43942,plain,
% 9.70/7.16 (until5(s250)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11472, 43941])).
% 9.70/7.16 tff(43943,plain,
% 9.70/7.16 (~node4(s250)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11476, 22, 43770])).
% 9.70/7.16 tff(43944,plain,
% 9.70/7.16 (xuntil6(s250) | (~until5(s250))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11483, 36, 43943])).
% 9.70/7.16 tff(43945,plain,
% 9.70/7.16 (xuntil6(s250)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43944, 43942])).
% 9.70/7.16 tff(43946,plain,
% 9.70/7.16 (until5(s251)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11489, 43945])).
% 9.70/7.16 tff(43947,plain,
% 9.70/7.16 (~node4(s251)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11493, 22, 43769])).
% 9.70/7.16 tff(43948,plain,
% 9.70/7.16 (xuntil6(s251) | (~until5(s251))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11500, 36, 43947])).
% 9.70/7.16 tff(43949,plain,
% 9.70/7.16 (xuntil6(s251)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43948, 43946])).
% 9.70/7.16 tff(43950,plain,
% 9.70/7.16 (until5(s252)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11506, 43949])).
% 9.70/7.16 tff(43951,plain,
% 9.70/7.16 (~node4(s252)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11510, 22, 43768])).
% 9.70/7.16 tff(43952,plain,
% 9.70/7.16 (xuntil6(s252) | (~until5(s252))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11517, 36, 43951])).
% 9.70/7.16 tff(43953,plain,
% 9.70/7.16 (xuntil6(s252)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43952, 43950])).
% 9.70/7.16 tff(43954,plain,
% 9.70/7.16 (until5(s253)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11523, 43953])).
% 9.70/7.16 tff(43955,plain,
% 9.70/7.16 (~node4(s253)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[5080, 22, 43767])).
% 9.70/7.16 tff(43956,plain,
% 9.70/7.16 (xuntil6(s253) | (~until5(s253))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11531, 36, 43955])).
% 9.70/7.16 tff(43957,plain,
% 9.70/7.16 (xuntil6(s253)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43956, 43954])).
% 9.70/7.16 tff(43958,plain,
% 9.70/7.16 (until5(s254)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11537, 43957])).
% 9.70/7.16 tff(43959,plain,
% 9.70/7.16 (~node4(s254)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11541, 22, 43766])).
% 9.70/7.16 tff(43960,plain,
% 9.70/7.16 (xuntil6(s254) | (~until5(s254))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11548, 36, 43959])).
% 9.70/7.16 tff(43961,plain,
% 9.70/7.16 (xuntil6(s254)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43960, 43958])).
% 9.70/7.16 tff(43962,plain,
% 9.70/7.16 (until5(s255)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11554, 43961])).
% 9.70/7.16 tff(43963,plain,
% 9.70/7.16 (~node4(s255)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11558, 22, 43765])).
% 9.70/7.16 tff(43964,plain,
% 9.70/7.16 (xuntil6(s255) | (~until5(s255))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11565, 36, 43963])).
% 9.70/7.16 tff(43965,plain,
% 9.70/7.16 (xuntil6(s255)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43964, 43962])).
% 9.70/7.16 tff(43966,plain,
% 9.70/7.16 (until5(s256)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11571, 43965])).
% 9.70/7.16 tff(43967,plain,
% 9.70/7.16 (~node4(s256)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11575, 22, 43764])).
% 9.70/7.16 tff(43968,plain,
% 9.70/7.16 (xuntil6(s256) | (~until5(s256))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11582, 36, 43967])).
% 9.70/7.16 tff(43969,plain,
% 9.70/7.16 (xuntil6(s256)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43968, 43966])).
% 9.70/7.16 tff(43970,plain,
% 9.70/7.16 (until5(s257)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11588, 43969])).
% 9.70/7.16 tff(43971,plain,
% 9.70/7.16 (~node4(s257)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11592, 22, 43763])).
% 9.70/7.16 tff(43972,plain,
% 9.70/7.16 (xuntil6(s257) | (~until5(s257))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11599, 36, 43971])).
% 9.70/7.16 tff(43973,plain,
% 9.70/7.16 (xuntil6(s257)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43972, 43970])).
% 9.70/7.16 tff(43974,plain,
% 9.70/7.16 (until5(s258)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11605, 43973])).
% 9.70/7.16 tff(43975,plain,
% 9.70/7.16 (~node4(s258)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11609, 22, 43762])).
% 9.70/7.16 tff(43976,plain,
% 9.70/7.16 (xuntil6(s258) | (~until5(s258))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11616, 36, 43975])).
% 9.70/7.16 tff(43977,plain,
% 9.70/7.16 (xuntil6(s258)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43976, 43974])).
% 9.70/7.16 tff(43978,plain,
% 9.70/7.16 (until5(s259)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11622, 43977])).
% 9.70/7.16 tff(43979,plain,
% 9.70/7.16 (~node4(s259)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11626, 22, 43761])).
% 9.70/7.16 tff(43980,plain,
% 9.70/7.16 (xuntil6(s259) | (~until5(s259))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11633, 36, 43979])).
% 9.70/7.16 tff(43981,plain,
% 9.70/7.16 (xuntil6(s259)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43980, 43978])).
% 9.70/7.16 tff(43982,plain,
% 9.70/7.16 (until5(s260)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11639, 43981])).
% 9.70/7.16 tff(43983,plain,
% 9.70/7.16 (~node4(s260)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11643, 22, 43760])).
% 9.70/7.16 tff(43984,plain,
% 9.70/7.16 (xuntil6(s260) | (~until5(s260))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11650, 36, 43983])).
% 9.70/7.16 tff(43985,plain,
% 9.70/7.16 (xuntil6(s260)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43984, 43982])).
% 9.70/7.16 tff(43986,plain,
% 9.70/7.16 (until5(s261)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11656, 43985])).
% 9.70/7.16 tff(43987,plain,
% 9.70/7.16 (~node4(s261)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11660, 22, 43759])).
% 9.70/7.16 tff(43988,plain,
% 9.70/7.16 (xuntil6(s261) | (~until5(s261))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11667, 36, 43987])).
% 9.70/7.16 tff(43989,plain,
% 9.70/7.16 (xuntil6(s261)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43988, 43986])).
% 9.70/7.16 tff(43990,plain,
% 9.70/7.16 (until5(s262)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11673, 43989])).
% 9.70/7.16 tff(43991,plain,
% 9.70/7.16 (~node4(s262)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11677, 22, 43758])).
% 9.70/7.16 tff(43992,plain,
% 9.70/7.16 (xuntil6(s262) | (~until5(s262))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11684, 36, 43991])).
% 9.70/7.16 tff(43993,plain,
% 9.70/7.16 (xuntil6(s262)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43992, 43990])).
% 9.70/7.16 tff(43994,plain,
% 9.70/7.16 (until5(s263)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11690, 43993])).
% 9.70/7.16 tff(43995,plain,
% 9.70/7.16 (~node4(s263)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11694, 22, 43757])).
% 9.70/7.16 tff(43996,plain,
% 9.70/7.16 (xuntil6(s263) | (~until5(s263))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11701, 36, 43995])).
% 9.70/7.16 tff(43997,plain,
% 9.70/7.16 (xuntil6(s263)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43996, 43994])).
% 9.70/7.16 tff(43998,plain,
% 9.70/7.16 (until5(s264)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11707, 43997])).
% 9.70/7.16 tff(43999,plain,
% 9.70/7.16 (~node4(s264)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11711, 22, 43756])).
% 9.70/7.16 tff(44000,plain,
% 9.70/7.16 (xuntil6(s264) | (~until5(s264))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11718, 36, 43999])).
% 9.70/7.16 tff(44001,plain,
% 9.70/7.16 (xuntil6(s264)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44000, 43998])).
% 9.70/7.16 tff(44002,plain,
% 9.70/7.16 (until5(s265)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11724, 44001])).
% 9.70/7.16 tff(44003,plain,
% 9.70/7.16 (~node4(s265)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11728, 22, 43755])).
% 9.70/7.16 tff(44004,plain,
% 9.70/7.16 (xuntil6(s265) | (~until5(s265))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11735, 36, 44003])).
% 9.70/7.16 tff(44005,plain,
% 9.70/7.16 (xuntil6(s265)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44004, 44002])).
% 9.70/7.16 tff(44006,plain,
% 9.70/7.16 (until5(s266)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11741, 44005])).
% 9.70/7.16 tff(44007,plain,
% 9.70/7.16 (~node4(s266)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11745, 22, 43754])).
% 9.70/7.16 tff(44008,plain,
% 9.70/7.16 (xuntil6(s266) | (~until5(s266))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11752, 36, 44007])).
% 9.70/7.16 tff(44009,plain,
% 9.70/7.16 (xuntil6(s266)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44008, 44006])).
% 9.70/7.16 tff(44010,plain,
% 9.70/7.16 (until5(s267)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11758, 44009])).
% 9.70/7.16 tff(44011,plain,
% 9.70/7.16 (~node4(s267)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11762, 22, 43753])).
% 9.70/7.16 tff(44012,plain,
% 9.70/7.16 (xuntil6(s267) | (~until5(s267))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11769, 36, 44011])).
% 9.70/7.16 tff(44013,plain,
% 9.70/7.16 (xuntil6(s267)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44012, 44010])).
% 9.70/7.16 tff(44014,plain,
% 9.70/7.16 (until5(s268)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11775, 44013])).
% 9.70/7.16 tff(44015,plain,
% 9.70/7.16 (~node4(s268)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11779, 22, 43752])).
% 9.70/7.16 tff(44016,plain,
% 9.70/7.16 (xuntil6(s268) | (~until5(s268))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11786, 36, 44015])).
% 9.70/7.16 tff(44017,plain,
% 9.70/7.16 (xuntil6(s268)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44016, 44014])).
% 9.70/7.16 tff(44018,plain,
% 9.70/7.16 (until5(s269)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11792, 44017])).
% 9.70/7.16 tff(44019,plain,
% 9.70/7.16 (~node4(s269)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11796, 22, 43751])).
% 9.70/7.16 tff(44020,plain,
% 9.70/7.16 (xuntil6(s269) | (~until5(s269))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11803, 36, 44019])).
% 9.70/7.16 tff(44021,plain,
% 9.70/7.16 (xuntil6(s269)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44020, 44018])).
% 9.70/7.16 tff(44022,plain,
% 9.70/7.16 (until5(s270)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11809, 44021])).
% 9.70/7.16 tff(44023,plain,
% 9.70/7.16 (~node4(s270)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11813, 22, 43750])).
% 9.70/7.16 tff(44024,plain,
% 9.70/7.16 (xuntil6(s270) | (~until5(s270))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11820, 36, 44023])).
% 9.70/7.16 tff(44025,plain,
% 9.70/7.16 (xuntil6(s270)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44024, 44022])).
% 9.70/7.16 tff(44026,plain,
% 9.70/7.16 (until5(s271)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11826, 44025])).
% 9.70/7.16 tff(44027,plain,
% 9.70/7.16 (~node4(s271)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11830, 22, 43749])).
% 9.70/7.16 tff(44028,plain,
% 9.70/7.16 (xuntil6(s271) | (~until5(s271))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11837, 36, 44027])).
% 9.70/7.16 tff(44029,plain,
% 9.70/7.16 (xuntil6(s271)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44028, 44026])).
% 9.70/7.16 tff(44030,plain,
% 9.70/7.16 (until5(s272)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11843, 44029])).
% 9.70/7.16 tff(44031,plain,
% 9.70/7.16 (~node4(s272)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11847, 22, 43748])).
% 9.70/7.16 tff(44032,plain,
% 9.70/7.16 (xuntil6(s272) | (~until5(s272))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11854, 36, 44031])).
% 9.70/7.16 tff(44033,plain,
% 9.70/7.16 (xuntil6(s272)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44032, 44030])).
% 9.70/7.16 tff(44034,plain,
% 9.70/7.16 (until5(s273)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11860, 44033])).
% 9.70/7.16 tff(44035,plain,
% 9.70/7.16 (~node4(s273)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11864, 22, 43747])).
% 9.70/7.16 tff(44036,plain,
% 9.70/7.16 (xuntil6(s273) | (~until5(s273))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11871, 36, 44035])).
% 9.70/7.16 tff(44037,plain,
% 9.70/7.16 (xuntil6(s273)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44036, 44034])).
% 9.70/7.16 tff(44038,plain,
% 9.70/7.16 ($false),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[11877, 44037, 43746])).
% 9.70/7.16 tff(44039,plain,(always3(s331) | xuntil6(s331) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.70/7.16 tff(44040,plain,
% 9.70/7.16 (always3(s331)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44039, 43425, 6320])).
% 9.70/7.16 tff(44041,plain,
% 9.70/7.16 (succ(s331, s332) <=> succ(s331, s332)),
% 9.70/7.16 inference(rewrite,[status(thm)],[])).
% 9.70/7.16 tff(44042,axiom,(succ(s331, s332)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound332')).
% 9.70/7.16 tff(44043,plain,
% 9.70/7.16 (succ(s331, s332)),
% 9.70/7.16 inference(modus_ponens,[status(thm)],[44042, 44041])).
% 9.70/7.16 tff(44044,plain,
% 9.70/7.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s331, s332)) | trans(s331, s332))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s331, s332)) | trans(s331, s332))),
% 9.70/7.16 inference(rewrite,[status(thm)],[])).
% 9.70/7.16 tff(44045,plain,
% 9.70/7.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s331, s332)) | trans(s331, s332))),
% 9.70/7.16 inference(quant_inst,[status(thm)],[])).
% 9.70/7.16 tff(44046,plain,
% 9.70/7.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s331, s332)) | trans(s331, s332)),
% 9.70/7.16 inference(modus_ponens,[status(thm)],[44045, 44044])).
% 9.70/7.16 tff(44047,plain,
% 9.70/7.16 (trans(s331, s332)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44046, 44043, 51])).
% 9.70/7.16 tff(44048,plain,
% 9.70/7.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s331, s332)) | (~always3(s331)) | always3(s332))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s331, s332)) | (~always3(s331)) | always3(s332))),
% 9.70/7.16 inference(rewrite,[status(thm)],[])).
% 9.70/7.16 tff(44049,plain,
% 9.70/7.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s331, s332)) | (~always3(s331)) | always3(s332))),
% 9.70/7.16 inference(quant_inst,[status(thm)],[])).
% 9.70/7.16 tff(44050,plain,
% 9.70/7.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s331, s332)) | (~always3(s331)) | always3(s332)),
% 9.70/7.16 inference(modus_ponens,[status(thm)],[44049, 44048])).
% 9.70/7.16 tff(44051,plain,
% 9.70/7.16 ((~always3(s331)) | always3(s332)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44050, 68, 44047])).
% 9.70/7.16 tff(44052,plain,
% 9.70/7.16 (always3(s332)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44051, 44040])).
% 9.70/7.16 tff(44053,plain,
% 9.70/7.16 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s332)) | (~m_main_v_state(s332, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s332)) | (~m_main_v_state(s332, c_busy)))),
% 9.70/7.16 inference(rewrite,[status(thm)],[])).
% 9.70/7.16 tff(44054,plain,
% 9.70/7.16 (((~m_main_v_state(s332, c_busy)) | (~always3(s332))) <=> ((~always3(s332)) | (~m_main_v_state(s332, c_busy)))),
% 9.70/7.16 inference(rewrite,[status(thm)],[])).
% 9.70/7.16 tff(44055,plain,
% 9.70/7.16 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s332, c_busy)) | (~always3(s332)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s332)) | (~m_main_v_state(s332, c_busy))))),
% 9.70/7.16 inference(monotonicity,[status(thm)],[44054])).
% 9.70/7.16 tff(44056,plain,
% 9.70/7.16 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s332, c_busy)) | (~always3(s332)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s332)) | (~m_main_v_state(s332, c_busy)))),
% 9.70/7.16 inference(transitivity,[status(thm)],[44055, 44053])).
% 9.70/7.16 tff(44057,plain,
% 9.70/7.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s332, c_busy)) | (~always3(s332)))),
% 9.70/7.16 inference(quant_inst,[status(thm)],[])).
% 9.70/7.16 tff(44058,plain,
% 9.70/7.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s332)) | (~m_main_v_state(s332, c_busy))),
% 9.70/7.16 inference(modus_ponens,[status(thm)],[44057, 44056])).
% 9.70/7.16 tff(44059,plain,
% 9.70/7.16 (~m_main_v_state(s332, c_busy)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44058, 170, 44052])).
% 9.70/7.16 tff(44060,plain,
% 9.70/7.16 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s331)) | (~m_main_v_state(s331, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s331)) | (~m_main_v_state(s331, c_busy)))),
% 9.70/7.16 inference(rewrite,[status(thm)],[])).
% 9.70/7.16 tff(44061,plain,
% 9.70/7.16 (((~m_main_v_state(s331, c_busy)) | (~always3(s331))) <=> ((~always3(s331)) | (~m_main_v_state(s331, c_busy)))),
% 9.70/7.16 inference(rewrite,[status(thm)],[])).
% 9.70/7.16 tff(44062,plain,
% 9.70/7.16 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s331, c_busy)) | (~always3(s331)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s331)) | (~m_main_v_state(s331, c_busy))))),
% 9.70/7.16 inference(monotonicity,[status(thm)],[44061])).
% 9.70/7.16 tff(44063,plain,
% 9.70/7.16 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s331, c_busy)) | (~always3(s331)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s331)) | (~m_main_v_state(s331, c_busy)))),
% 9.70/7.16 inference(transitivity,[status(thm)],[44062, 44060])).
% 9.70/7.16 tff(44064,plain,
% 9.70/7.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s331, c_busy)) | (~always3(s331)))),
% 9.70/7.16 inference(quant_inst,[status(thm)],[])).
% 9.70/7.16 tff(44065,plain,
% 9.70/7.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s331)) | (~m_main_v_state(s331, c_busy))),
% 9.70/7.16 inference(modus_ponens,[status(thm)],[44064, 44063])).
% 9.70/7.16 tff(44066,plain,
% 9.70/7.16 (~m_main_v_state(s331, c_busy)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44065, 170, 44040])).
% 9.70/7.16 tff(44067,plain,
% 9.70/7.16 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s331, c_busy) | m_main_v_state(s331, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s331, c_busy) | m_main_v_state(s331, c_ready))),
% 9.70/7.16 inference(rewrite,[status(thm)],[])).
% 9.70/7.16 tff(44068,plain,
% 9.70/7.16 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s331, c_busy) | m_main_v_state(s331, c_ready))),
% 9.70/7.16 inference(quant_inst,[status(thm)],[])).
% 9.70/7.16 tff(44069,plain,
% 9.70/7.16 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s331, c_busy) | m_main_v_state(s331, c_ready)),
% 9.70/7.16 inference(modus_ponens,[status(thm)],[44068, 44067])).
% 9.70/7.16 tff(44070,plain,
% 9.70/7.16 (m_main_v_state(s331, c_ready)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44069, 213, 44066])).
% 9.70/7.16 tff(44071,assumption,(~m_main_v_state(s331, c_busy)), introduced(assumption)).
% 9.70/7.16 tff(44072,assumption,(node4(s330)), introduced(assumption)).
% 9.70/7.16 tff(44073,plain,
% 9.70/7.16 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s330) | (~node4(s330)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s330) | (~node4(s330)))),
% 9.70/7.16 inference(rewrite,[status(thm)],[])).
% 9.70/7.16 tff(44074,plain,
% 9.70/7.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s330) | (~node4(s330)))),
% 9.70/7.16 inference(quant_inst,[status(thm)],[])).
% 9.70/7.16 tff(44075,plain,
% 9.70/7.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s330) | (~node4(s330))),
% 9.70/7.16 inference(modus_ponens,[status(thm)],[44074, 44073])).
% 9.70/7.16 tff(44076,plain,
% 9.70/7.16 (m_main_v_request(s330)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44075, 154, 44072])).
% 9.70/7.16 tff(44077,plain,
% 9.70/7.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s330, s331)) | node2(s330, s331))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s330, s331)) | node2(s330, s331))),
% 9.70/7.16 inference(rewrite,[status(thm)],[])).
% 9.70/7.16 tff(44078,plain,
% 9.70/7.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s330, s331)) | node2(s330, s331))),
% 9.70/7.16 inference(quant_inst,[status(thm)],[])).
% 9.70/7.16 tff(44079,plain,
% 9.70/7.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s330, s331)) | node2(s330, s331)),
% 9.70/7.16 inference(modus_ponens,[status(thm)],[44078, 44077])).
% 9.70/7.16 tff(44080,plain,
% 9.70/7.16 (node2(s330, s331)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44079, 7, 43433])).
% 9.70/7.16 tff(44081,plain,
% 9.70/7.16 (((~![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(s330, c_ready)) | (~node2(s330, s331)) | m_main_v_state(s331, c_busy) | (~m_main_v_request(s330)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s330, c_ready)) | (~node2(s330, s331)) | m_main_v_state(s331, c_busy) | (~m_main_v_request(s330)))),
% 9.70/7.16 inference(rewrite,[status(thm)],[])).
% 9.70/7.16 tff(44082,plain,
% 9.70/7.16 ((~![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(s330, c_ready)) | (~node2(s330, s331)) | m_main_v_state(s331, c_busy) | (~m_main_v_request(s330)))),
% 9.70/7.16 inference(quant_inst,[status(thm)],[])).
% 9.70/7.16 tff(44083,plain,
% 9.70/7.16 ((~![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(s330, c_ready)) | (~node2(s330, s331)) | m_main_v_state(s331, c_busy) | (~m_main_v_request(s330))),
% 9.70/7.16 inference(modus_ponens,[status(thm)],[44082, 44081])).
% 9.70/7.16 tff(44084,plain,
% 9.70/7.16 ((~m_main_v_state(s330, c_ready)) | m_main_v_state(s331, c_busy) | (~m_main_v_request(s330))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44083, 191, 44080])).
% 9.70/7.16 tff(44085,plain,
% 9.70/7.16 (~m_main_v_state(s330, c_ready)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44084, 44076, 44071])).
% 9.70/7.16 tff(44086,plain,
% 9.70/7.16 (always3(s330)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43441, 22, 44072])).
% 9.70/7.16 tff(44087,plain,
% 9.70/7.16 (~m_main_v_state(s330, c_busy)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43359, 170, 44086])).
% 9.70/7.16 tff(44088,plain,
% 9.70/7.16 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s330, c_busy) | m_main_v_state(s330, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s330, c_busy) | m_main_v_state(s330, c_ready))),
% 9.70/7.16 inference(rewrite,[status(thm)],[])).
% 9.70/7.16 tff(44089,plain,
% 9.70/7.16 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s330, c_busy) | m_main_v_state(s330, c_ready))),
% 9.70/7.16 inference(quant_inst,[status(thm)],[])).
% 9.70/7.16 tff(44090,plain,
% 9.70/7.16 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s330, c_busy) | m_main_v_state(s330, c_ready)),
% 9.70/7.16 inference(modus_ponens,[status(thm)],[44089, 44088])).
% 9.70/7.16 tff(44091,plain,
% 9.70/7.16 ($false),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44090, 213, 44087, 44085])).
% 9.70/7.16 tff(44092,plain,((~node4(s330)) | m_main_v_state(s331, c_busy)), inference(lemma,lemma(discharge,[]))).
% 9.70/7.16 tff(44093,plain,
% 9.70/7.16 (~node4(s330)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44092, 44066])).
% 9.70/7.16 tff(44094,assumption,(until5(s330)), introduced(assumption)).
% 9.70/7.16 tff(44095,plain,
% 9.70/7.16 (xuntil6(s330) | node4(s330)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43465, 36, 44094])).
% 9.70/7.16 tff(44096,plain,
% 9.70/7.16 (xuntil6(s330)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44095, 44093])).
% 9.70/7.16 tff(44097,plain,
% 9.70/7.16 (until5(s331)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43458, 44096])).
% 9.70/7.16 tff(44098,plain,
% 9.70/7.16 (node4(s331)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[43453, 44097])).
% 9.70/7.16 tff(44099,plain,
% 9.70/7.16 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s331) | (~node4(s331)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s331) | (~node4(s331)))),
% 9.70/7.16 inference(rewrite,[status(thm)],[])).
% 9.70/7.16 tff(44100,plain,
% 9.70/7.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s331) | (~node4(s331)))),
% 9.70/7.16 inference(quant_inst,[status(thm)],[])).
% 9.70/7.16 tff(44101,plain,
% 9.70/7.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s331) | (~node4(s331))),
% 9.70/7.16 inference(modus_ponens,[status(thm)],[44100, 44099])).
% 9.70/7.16 tff(44102,plain,
% 9.70/7.16 (m_main_v_request(s331)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44101, 154, 44098])).
% 9.70/7.16 tff(44103,plain,
% 9.70/7.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s331, s332)) | node2(s331, s332))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s331, s332)) | node2(s331, s332))),
% 9.70/7.16 inference(rewrite,[status(thm)],[])).
% 9.70/7.16 tff(44104,plain,
% 9.70/7.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s331, s332)) | node2(s331, s332))),
% 9.70/7.16 inference(quant_inst,[status(thm)],[])).
% 9.70/7.16 tff(44105,plain,
% 9.70/7.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s331, s332)) | node2(s331, s332)),
% 9.70/7.16 inference(modus_ponens,[status(thm)],[44104, 44103])).
% 9.70/7.16 tff(44106,plain,
% 9.70/7.16 (node2(s331, s332)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44105, 7, 44047])).
% 9.70/7.16 tff(44107,plain,
% 9.70/7.16 (((~![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(s331, c_ready)) | (~node2(s331, s332)) | m_main_v_state(s332, c_busy) | (~m_main_v_request(s331)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s331, c_ready)) | (~node2(s331, s332)) | m_main_v_state(s332, c_busy) | (~m_main_v_request(s331)))),
% 9.70/7.16 inference(rewrite,[status(thm)],[])).
% 9.70/7.16 tff(44108,plain,
% 9.70/7.16 ((~![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(s331, c_ready)) | (~node2(s331, s332)) | m_main_v_state(s332, c_busy) | (~m_main_v_request(s331)))),
% 9.70/7.16 inference(quant_inst,[status(thm)],[])).
% 9.70/7.16 tff(44109,plain,
% 9.70/7.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s331, c_ready)) | (~node2(s331, s332)) | m_main_v_state(s332, c_busy) | (~m_main_v_request(s331))),
% 9.70/7.16 inference(modus_ponens,[status(thm)],[44108, 44107])).
% 9.70/7.16 tff(44110,plain,
% 9.70/7.16 ((~m_main_v_state(s331, c_ready)) | m_main_v_state(s332, c_busy) | (~m_main_v_request(s331))),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44109, 191, 44106])).
% 9.70/7.16 tff(44111,plain,
% 9.70/7.16 ($false),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44110, 44102, 44070, 44059])).
% 9.70/7.16 tff(44112,plain,(xuntil6(s331) | (~until5(s330)) | (~until5(s58))), inference(lemma,lemma(discharge,[]))).
% 9.70/7.16 tff(44113,plain,
% 9.70/7.16 (xuntil6(s331)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44112, 43424, 5071])).
% 9.70/7.16 tff(44114,plain,
% 9.70/7.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s331, s332)) | (~xuntil6(s331)) | until5(s332))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s331, s332)) | (~xuntil6(s331)) | until5(s332))),
% 9.70/7.16 inference(rewrite,[status(thm)],[])).
% 9.70/7.16 tff(44115,plain,
% 9.70/7.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s331, s332)) | (~xuntil6(s331)) | until5(s332))),
% 9.70/7.16 inference(quant_inst,[status(thm)],[])).
% 9.70/7.16 tff(44116,plain,
% 9.70/7.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s331, s332)) | (~xuntil6(s331)) | until5(s332)),
% 9.70/7.16 inference(modus_ponens,[status(thm)],[44115, 44114])).
% 9.70/7.16 tff(44117,plain,
% 9.70/7.16 ((~xuntil6(s331)) | until5(s332)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44116, 44043, 141])).
% 9.70/7.16 tff(44118,plain,
% 9.70/7.16 (until5(s332)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44117, 44113])).
% 9.70/7.16 tff(44119,assumption,(node4(s332)), introduced(assumption)).
% 9.70/7.16 tff(44120,plain,
% 9.70/7.16 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s332) | (~node4(s332)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s332) | (~node4(s332)))),
% 9.70/7.16 inference(rewrite,[status(thm)],[])).
% 9.70/7.16 tff(44121,plain,
% 9.70/7.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s332) | (~node4(s332)))),
% 9.70/7.16 inference(quant_inst,[status(thm)],[])).
% 9.70/7.16 tff(44122,plain,
% 9.70/7.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s332) | (~node4(s332))),
% 9.70/7.16 inference(modus_ponens,[status(thm)],[44121, 44120])).
% 9.70/7.16 tff(44123,plain,
% 9.70/7.16 (m_main_v_request(s332)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44122, 154, 44119])).
% 9.70/7.16 tff(44124,plain,
% 9.70/7.16 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s332) | (~node4(s332)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s332) | (~node4(s332)))),
% 9.70/7.16 inference(rewrite,[status(thm)],[])).
% 9.70/7.16 tff(44125,plain,
% 9.70/7.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s332) | (~node4(s332)))),
% 9.70/7.16 inference(quant_inst,[status(thm)],[])).
% 9.70/7.16 tff(44126,plain,
% 9.70/7.16 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s332) | (~node4(s332))),
% 9.70/7.16 inference(modus_ponens,[status(thm)],[44125, 44124])).
% 9.70/7.16 tff(44127,plain,
% 9.70/7.16 (always3(s332)),
% 9.70/7.16 inference(unit_resolution,[status(thm)],[44126, 22, 44119])).
% 9.70/7.16 tff(44128,plain,
% 9.70/7.16 (succ(s332, s333) <=> succ(s332, s333)),
% 9.70/7.16 inference(rewrite,[status(thm)],[])).
% 9.70/7.16 tff(44129,axiom,(succ(s332, s333)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound333')).
% 9.70/7.16 tff(44130,plain,
% 9.70/7.16 (succ(s332, s333)),
% 9.70/7.16 inference(modus_ponens,[status(thm)],[44129, 44128])).
% 9.70/7.16 tff(44131,plain,
% 9.70/7.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s332, s333)) | trans(s332, s333))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s332, s333)) | trans(s332, s333))),
% 9.70/7.16 inference(rewrite,[status(thm)],[])).
% 9.70/7.16 tff(44132,plain,
% 9.70/7.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s332, s333)) | trans(s332, s333))),
% 9.70/7.16 inference(quant_inst,[status(thm)],[])).
% 9.70/7.16 tff(44133,plain,
% 9.70/7.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s332, s333)) | trans(s332, s333)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44132, 44131])).
% 9.70/7.17 tff(44134,plain,
% 9.70/7.17 (trans(s332, s333)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44133, 44130, 51])).
% 9.70/7.17 tff(44135,plain,
% 9.70/7.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s332, s333)) | (~always3(s332)) | always3(s333))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s332, s333)) | (~always3(s332)) | always3(s333))),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44136,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s332, s333)) | (~always3(s332)) | always3(s333))),
% 9.70/7.17 inference(quant_inst,[status(thm)],[])).
% 9.70/7.17 tff(44137,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s332, s333)) | (~always3(s332)) | always3(s333)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44136, 44135])).
% 9.70/7.17 tff(44138,plain,
% 9.70/7.17 ((~always3(s332)) | always3(s333)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44137, 68, 44134])).
% 9.70/7.17 tff(44139,plain,
% 9.70/7.17 (always3(s333)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44138, 44127])).
% 9.70/7.17 tff(44140,plain,
% 9.70/7.17 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s333)) | (~m_main_v_state(s333, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s333)) | (~m_main_v_state(s333, c_busy)))),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44141,plain,
% 9.70/7.17 (((~m_main_v_state(s333, c_busy)) | (~always3(s333))) <=> ((~always3(s333)) | (~m_main_v_state(s333, c_busy)))),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44142,plain,
% 9.70/7.17 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s333, c_busy)) | (~always3(s333)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s333)) | (~m_main_v_state(s333, c_busy))))),
% 9.70/7.17 inference(monotonicity,[status(thm)],[44141])).
% 9.70/7.17 tff(44143,plain,
% 9.70/7.17 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s333, c_busy)) | (~always3(s333)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s333)) | (~m_main_v_state(s333, c_busy)))),
% 9.70/7.17 inference(transitivity,[status(thm)],[44142, 44140])).
% 9.70/7.17 tff(44144,plain,
% 9.70/7.17 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s333, c_busy)) | (~always3(s333)))),
% 9.70/7.17 inference(quant_inst,[status(thm)],[])).
% 9.70/7.17 tff(44145,plain,
% 9.70/7.17 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s333)) | (~m_main_v_state(s333, c_busy))),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44144, 44143])).
% 9.70/7.17 tff(44146,plain,
% 9.70/7.17 (~m_main_v_state(s333, c_busy)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44145, 170, 44139])).
% 9.70/7.17 tff(44147,plain,
% 9.70/7.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s332, s333)) | node2(s332, s333))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s332, s333)) | node2(s332, s333))),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44148,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s332, s333)) | node2(s332, s333))),
% 9.70/7.17 inference(quant_inst,[status(thm)],[])).
% 9.70/7.17 tff(44149,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s332, s333)) | node2(s332, s333)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44148, 44147])).
% 9.70/7.17 tff(44150,plain,
% 9.70/7.17 (node2(s332, s333)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44149, 7, 44134])).
% 9.70/7.17 tff(44151,plain,
% 9.70/7.17 (((~![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(s332, c_ready)) | (~node2(s332, s333)) | m_main_v_state(s333, c_busy) | (~m_main_v_request(s332)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s332, c_ready)) | (~node2(s332, s333)) | m_main_v_state(s333, c_busy) | (~m_main_v_request(s332)))),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44152,plain,
% 9.70/7.17 ((~![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(s332, c_ready)) | (~node2(s332, s333)) | m_main_v_state(s333, c_busy) | (~m_main_v_request(s332)))),
% 9.70/7.17 inference(quant_inst,[status(thm)],[])).
% 9.70/7.17 tff(44153,plain,
% 9.70/7.17 ((~![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(s332, c_ready)) | (~node2(s332, s333)) | m_main_v_state(s333, c_busy) | (~m_main_v_request(s332))),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44152, 44151])).
% 9.70/7.17 tff(44154,plain,
% 9.70/7.17 ((~m_main_v_state(s332, c_ready)) | m_main_v_state(s333, c_busy) | (~m_main_v_request(s332))),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44153, 191, 44150])).
% 9.70/7.17 tff(44155,plain,
% 9.70/7.17 (~m_main_v_state(s332, c_ready)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44154, 44146, 44123])).
% 9.70/7.17 tff(44156,plain,
% 9.70/7.17 (~m_main_v_state(s332, c_busy)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44058, 170, 44127])).
% 9.70/7.17 tff(44157,plain,
% 9.70/7.17 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s332, c_busy) | m_main_v_state(s332, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s332, c_busy) | m_main_v_state(s332, c_ready))),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44158,plain,
% 9.70/7.17 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s332, c_busy) | m_main_v_state(s332, c_ready))),
% 9.70/7.17 inference(quant_inst,[status(thm)],[])).
% 9.70/7.17 tff(44159,plain,
% 9.70/7.17 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s332, c_busy) | m_main_v_state(s332, c_ready)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44158, 44157])).
% 9.70/7.17 tff(44160,plain,
% 9.70/7.17 ($false),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44159, 213, 44156, 44155])).
% 9.70/7.17 tff(44161,plain,(~node4(s332)), inference(lemma,lemma(discharge,[]))).
% 9.70/7.17 tff(44162,plain,
% 9.70/7.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s332) | node4(s332) | (~until5(s332)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s332) | node4(s332) | (~until5(s332)))),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44163,plain,
% 9.70/7.17 ((node4(s332) | (~until5(s332)) | xuntil6(s332)) <=> (xuntil6(s332) | node4(s332) | (~until5(s332)))),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44164,plain,
% 9.70/7.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s332) | (~until5(s332)) | xuntil6(s332))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s332) | node4(s332) | (~until5(s332))))),
% 9.70/7.17 inference(monotonicity,[status(thm)],[44163])).
% 9.70/7.17 tff(44165,plain,
% 9.70/7.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s332) | (~until5(s332)) | xuntil6(s332))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s332) | node4(s332) | (~until5(s332)))),
% 9.70/7.17 inference(transitivity,[status(thm)],[44164, 44162])).
% 9.70/7.17 tff(44166,plain,
% 9.70/7.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s332) | (~until5(s332)) | xuntil6(s332))),
% 9.70/7.17 inference(quant_inst,[status(thm)],[])).
% 9.70/7.17 tff(44167,plain,
% 9.70/7.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s332) | node4(s332) | (~until5(s332))),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44166, 44165])).
% 9.70/7.17 tff(44168,plain,
% 9.70/7.17 (xuntil6(s332) | (~until5(s332))),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44167, 36, 44161])).
% 9.70/7.17 tff(44169,plain,
% 9.70/7.17 (xuntil6(s332)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44168, 44118])).
% 9.70/7.17 tff(44170,plain,
% 9.70/7.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s332, s333)) | (~xuntil6(s332)) | until5(s333))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s332, s333)) | (~xuntil6(s332)) | until5(s333))),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44171,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s332, s333)) | (~xuntil6(s332)) | until5(s333))),
% 9.70/7.17 inference(quant_inst,[status(thm)],[])).
% 9.70/7.17 tff(44172,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s332, s333)) | (~xuntil6(s332)) | until5(s333)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44171, 44170])).
% 9.70/7.17 tff(44173,plain,
% 9.70/7.17 ((~xuntil6(s332)) | until5(s333)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44172, 44130, 141])).
% 9.70/7.17 tff(44174,plain,
% 9.70/7.17 (until5(s333)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44173, 44169])).
% 9.70/7.17 tff(44175,plain,
% 9.70/7.17 (~always3(s214)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[6344, 43807])).
% 9.70/7.17 tff(44176,plain,
% 9.70/7.17 (~always3(s213)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[6390, 44175])).
% 9.70/7.17 tff(44177,plain,
% 9.70/7.17 (~always3(s212)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[6419, 44176])).
% 9.70/7.17 tff(44178,plain,
% 9.70/7.17 (~always3(s211)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[6448, 44177])).
% 9.70/7.17 tff(44179,plain,
% 9.70/7.17 (~always3(s210)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[6477, 44178])).
% 9.70/7.17 tff(44180,plain,
% 9.70/7.17 (~always3(s209)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[6506, 44179])).
% 9.70/7.17 tff(44181,plain,
% 9.70/7.17 (~always3(s208)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[6535, 44180])).
% 9.70/7.17 tff(44182,plain,
% 9.70/7.17 (~always3(s207)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[6564, 44181])).
% 9.70/7.17 tff(44183,plain,
% 9.70/7.17 (~always3(s206)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[6593, 44182])).
% 9.70/7.17 tff(44184,plain,
% 9.70/7.17 (~always3(s205)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[6622, 44183])).
% 9.70/7.17 tff(44185,plain,
% 9.70/7.17 (~always3(s204)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[6651, 44184])).
% 9.70/7.17 tff(44186,plain,
% 9.70/7.17 (~always3(s203)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[6680, 44185])).
% 9.70/7.17 tff(44187,plain,
% 9.70/7.17 (~always3(s202)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[6709, 44186])).
% 9.70/7.17 tff(44188,plain,
% 9.70/7.17 (~always3(s201)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[6738, 44187])).
% 9.70/7.17 tff(44189,plain,
% 9.70/7.17 (~always3(s200)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[6767, 44188])).
% 9.70/7.17 tff(44190,plain,
% 9.70/7.17 (~always3(s199)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[6796, 44189])).
% 9.70/7.17 tff(44191,plain,
% 9.70/7.17 (~always3(s198)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[6825, 44190])).
% 9.70/7.17 tff(44192,plain,
% 9.70/7.17 (~always3(s197)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[6854, 44191])).
% 9.70/7.17 tff(44193,plain,
% 9.70/7.17 (~always3(s196)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[6883, 44192])).
% 9.70/7.17 tff(44194,plain,
% 9.70/7.17 (~always3(s195)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[6912, 44193])).
% 9.70/7.17 tff(44195,plain,
% 9.70/7.17 (~always3(s194)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[6941, 44194])).
% 9.70/7.17 tff(44196,plain,
% 9.70/7.17 (~always3(s193)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[6970, 44195])).
% 9.70/7.17 tff(44197,plain,
% 9.70/7.17 (~always3(s192)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[6999, 44196])).
% 9.70/7.17 tff(44198,plain,
% 9.70/7.17 (~always3(s191)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7028, 44197])).
% 9.70/7.17 tff(44199,plain,
% 9.70/7.17 (~always3(s190)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7057, 44198])).
% 9.70/7.17 tff(44200,plain,
% 9.70/7.17 (~always3(s189)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7086, 44199])).
% 9.70/7.17 tff(44201,plain,
% 9.70/7.17 (~always3(s188)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7115, 44200])).
% 9.70/7.17 tff(44202,plain,
% 9.70/7.17 (~always3(s187)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7144, 44201])).
% 9.70/7.17 tff(44203,plain,
% 9.70/7.17 (~always3(s186)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7173, 44202])).
% 9.70/7.17 tff(44204,plain,
% 9.70/7.17 (~always3(s185)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7202, 44203])).
% 9.70/7.17 tff(44205,plain,
% 9.70/7.17 (~always3(s184)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7231, 44204])).
% 9.70/7.17 tff(44206,plain,
% 9.70/7.17 (~always3(s183)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7260, 44205])).
% 9.70/7.17 tff(44207,plain,
% 9.70/7.17 (~always3(s182)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7289, 44206])).
% 9.70/7.17 tff(44208,plain,
% 9.70/7.17 (~always3(s181)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7318, 44207])).
% 9.70/7.17 tff(44209,plain,
% 9.70/7.17 (~always3(s180)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7347, 44208])).
% 9.70/7.17 tff(44210,plain,
% 9.70/7.17 (~always3(s179)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7376, 44209])).
% 9.70/7.17 tff(44211,plain,
% 9.70/7.17 (~always3(s178)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7405, 44210])).
% 9.70/7.17 tff(44212,plain,
% 9.70/7.17 (~always3(s177)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7434, 44211])).
% 9.70/7.17 tff(44213,plain,
% 9.70/7.17 (~always3(s176)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7463, 44212])).
% 9.70/7.17 tff(44214,plain,
% 9.70/7.17 (~always3(s175)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7492, 44213])).
% 9.70/7.17 tff(44215,plain,
% 9.70/7.17 (~always3(s174)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7521, 44214])).
% 9.70/7.17 tff(44216,plain,
% 9.70/7.17 (~always3(s173)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7550, 44215])).
% 9.70/7.17 tff(44217,plain,
% 9.70/7.17 (~always3(s172)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7579, 44216])).
% 9.70/7.17 tff(44218,plain,
% 9.70/7.17 (~always3(s171)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7608, 44217])).
% 9.70/7.17 tff(44219,plain,
% 9.70/7.17 (~always3(s170)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7637, 44218])).
% 9.70/7.17 tff(44220,plain,
% 9.70/7.17 (~always3(s169)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7666, 44219])).
% 9.70/7.17 tff(44221,plain,
% 9.70/7.17 (~always3(s168)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7695, 44220])).
% 9.70/7.17 tff(44222,plain,
% 9.70/7.17 (~always3(s167)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7724, 44221])).
% 9.70/7.17 tff(44223,plain,
% 9.70/7.17 (~always3(s166)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7753, 44222])).
% 9.70/7.17 tff(44224,plain,
% 9.70/7.17 (~always3(s165)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7782, 44223])).
% 9.70/7.17 tff(44225,plain,
% 9.70/7.17 (~always3(s164)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7811, 44224])).
% 9.70/7.17 tff(44226,plain,
% 9.70/7.17 (~always3(s163)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7840, 44225])).
% 9.70/7.17 tff(44227,plain,
% 9.70/7.17 (~always3(s162)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7869, 44226])).
% 9.70/7.17 tff(44228,plain,
% 9.70/7.17 (~always3(s161)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7898, 44227])).
% 9.70/7.17 tff(44229,plain,
% 9.70/7.17 (~always3(s160)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7927, 44228])).
% 9.70/7.17 tff(44230,plain,
% 9.70/7.17 (~always3(s159)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7956, 44229])).
% 9.70/7.17 tff(44231,plain,
% 9.70/7.17 (~always3(s158)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[7985, 44230])).
% 9.70/7.17 tff(44232,plain,
% 9.70/7.17 (~always3(s157)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8014, 44231])).
% 9.70/7.17 tff(44233,plain,
% 9.70/7.17 (~always3(s156)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8043, 44232])).
% 9.70/7.17 tff(44234,plain,
% 9.70/7.17 (~always3(s155)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8072, 44233])).
% 9.70/7.17 tff(44235,plain,
% 9.70/7.17 (~always3(s154)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8101, 44234])).
% 9.70/7.17 tff(44236,plain,
% 9.70/7.17 (~always3(s153)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8130, 44235])).
% 9.70/7.17 tff(44237,plain,
% 9.70/7.17 (~always3(s152)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8159, 44236])).
% 9.70/7.17 tff(44238,plain,
% 9.70/7.17 (~always3(s151)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8188, 44237])).
% 9.70/7.17 tff(44239,plain,
% 9.70/7.17 (~always3(s150)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8217, 44238])).
% 9.70/7.17 tff(44240,plain,
% 9.70/7.17 (~always3(s149)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8246, 44239])).
% 9.70/7.17 tff(44241,plain,
% 9.70/7.17 (~always3(s148)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8275, 44240])).
% 9.70/7.17 tff(44242,plain,
% 9.70/7.17 (~always3(s147)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8304, 44241])).
% 9.70/7.17 tff(44243,plain,
% 9.70/7.17 (~always3(s146)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8333, 44242])).
% 9.70/7.17 tff(44244,plain,
% 9.70/7.17 (~always3(s145)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8362, 44243])).
% 9.70/7.17 tff(44245,plain,
% 9.70/7.17 (~always3(s144)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8391, 44244])).
% 9.70/7.17 tff(44246,plain,
% 9.70/7.17 (~always3(s143)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8420, 44245])).
% 9.70/7.17 tff(44247,plain,
% 9.70/7.17 (~always3(s142)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8449, 44246])).
% 9.70/7.17 tff(44248,plain,
% 9.70/7.17 (~always3(s141)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8478, 44247])).
% 9.70/7.17 tff(44249,plain,
% 9.70/7.17 (~always3(s140)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8507, 44248])).
% 9.70/7.17 tff(44250,plain,
% 9.70/7.17 (~always3(s139)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8536, 44249])).
% 9.70/7.17 tff(44251,plain,
% 9.70/7.17 (~always3(s138)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8565, 44250])).
% 9.70/7.17 tff(44252,plain,
% 9.70/7.17 (~always3(s137)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8594, 44251])).
% 9.70/7.17 tff(44253,plain,
% 9.70/7.17 (~always3(s136)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8618, 44252])).
% 9.70/7.17 tff(44254,plain,
% 9.70/7.17 (~always3(s135)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8630, 44253])).
% 9.70/7.17 tff(44255,plain,
% 9.70/7.17 (~always3(s134)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8642, 44254])).
% 9.70/7.17 tff(44256,plain,
% 9.70/7.17 (~always3(s133)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8654, 44255])).
% 9.70/7.17 tff(44257,plain,
% 9.70/7.17 (~always3(s132)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8666, 44256])).
% 9.70/7.17 tff(44258,plain,
% 9.70/7.17 (~always3(s131)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8678, 44257])).
% 9.70/7.17 tff(44259,plain,
% 9.70/7.17 (~always3(s130)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8690, 44258])).
% 9.70/7.17 tff(44260,plain,
% 9.70/7.17 (~always3(s129)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8702, 44259])).
% 9.70/7.17 tff(44261,plain,
% 9.70/7.17 (~always3(s128)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8714, 44260])).
% 9.70/7.17 tff(44262,plain,
% 9.70/7.17 (~always3(s127)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8726, 44261])).
% 9.70/7.17 tff(44263,plain,
% 9.70/7.17 (~always3(s126)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8738, 44262])).
% 9.70/7.17 tff(44264,plain,
% 9.70/7.17 (~always3(s125)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8750, 44263])).
% 9.70/7.17 tff(44265,plain,
% 9.70/7.17 (~always3(s124)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8762, 44264])).
% 9.70/7.17 tff(44266,plain,
% 9.70/7.17 (~always3(s123)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8774, 44265])).
% 9.70/7.17 tff(44267,plain,
% 9.70/7.17 (~always3(s122)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8786, 44266])).
% 9.70/7.17 tff(44268,plain,
% 9.70/7.17 (~always3(s121)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8798, 44267])).
% 9.70/7.17 tff(44269,plain,
% 9.70/7.17 (~always3(s120)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8810, 44268])).
% 9.70/7.17 tff(44270,plain,
% 9.70/7.17 (~always3(s119)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8822, 44269])).
% 9.70/7.17 tff(44271,plain,
% 9.70/7.17 (~always3(s118)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8834, 44270])).
% 9.70/7.17 tff(44272,plain,
% 9.70/7.17 (~always3(s117)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8846, 44271])).
% 9.70/7.17 tff(44273,plain,
% 9.70/7.17 (~always3(s116)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8858, 44272])).
% 9.70/7.17 tff(44274,plain,
% 9.70/7.17 (~always3(s115)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8870, 44273])).
% 9.70/7.17 tff(44275,plain,
% 9.70/7.17 (~always3(s114)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8882, 44274])).
% 9.70/7.17 tff(44276,plain,
% 9.70/7.17 (~always3(s113)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8894, 44275])).
% 9.70/7.17 tff(44277,plain,
% 9.70/7.17 (~always3(s112)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8906, 44276])).
% 9.70/7.17 tff(44278,plain,
% 9.70/7.17 (~always3(s111)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8918, 44277])).
% 9.70/7.17 tff(44279,plain,
% 9.70/7.17 (~always3(s110)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8930, 44278])).
% 9.70/7.17 tff(44280,plain,
% 9.70/7.17 (~always3(s109)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8942, 44279])).
% 9.70/7.17 tff(44281,plain,
% 9.70/7.17 (~always3(s108)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8954, 44280])).
% 9.70/7.17 tff(44282,plain,
% 9.70/7.17 (~always3(s107)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8966, 44281])).
% 9.70/7.17 tff(44283,plain,
% 9.70/7.17 (~always3(s106)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8978, 44282])).
% 9.70/7.17 tff(44284,plain,
% 9.70/7.17 (~always3(s105)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[8990, 44283])).
% 9.70/7.17 tff(44285,plain,
% 9.70/7.17 (~always3(s104)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9002, 44284])).
% 9.70/7.17 tff(44286,plain,
% 9.70/7.17 (~always3(s103)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9014, 44285])).
% 9.70/7.17 tff(44287,plain,
% 9.70/7.17 (~always3(s102)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9026, 44286])).
% 9.70/7.17 tff(44288,plain,
% 9.70/7.17 (~always3(s101)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9038, 44287])).
% 9.70/7.17 tff(44289,plain,
% 9.70/7.17 (~always3(s100)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9050, 44288])).
% 9.70/7.17 tff(44290,plain,
% 9.70/7.17 (~always3(s99)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9062, 44289])).
% 9.70/7.17 tff(44291,plain,
% 9.70/7.17 (~always3(s98)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9074, 44290])).
% 9.70/7.17 tff(44292,plain,
% 9.70/7.17 (~always3(s97)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9086, 44291])).
% 9.70/7.17 tff(44293,plain,
% 9.70/7.17 (~always3(s96)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9098, 44292])).
% 9.70/7.17 tff(44294,plain,
% 9.70/7.17 (~always3(s95)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9110, 44293])).
% 9.70/7.17 tff(44295,plain,
% 9.70/7.17 (~always3(s94)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9122, 44294])).
% 9.70/7.17 tff(44296,plain,
% 9.70/7.17 (~always3(s93)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9134, 44295])).
% 9.70/7.17 tff(44297,plain,
% 9.70/7.17 (~always3(s92)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9146, 44296])).
% 9.70/7.17 tff(44298,plain,
% 9.70/7.17 (~always3(s91)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9158, 44297])).
% 9.70/7.17 tff(44299,plain,
% 9.70/7.17 (~always3(s90)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9170, 44298])).
% 9.70/7.17 tff(44300,plain,
% 9.70/7.17 (~always3(s89)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9182, 44299])).
% 9.70/7.17 tff(44301,plain,
% 9.70/7.17 (~always3(s88)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9194, 44300])).
% 9.70/7.17 tff(44302,plain,
% 9.70/7.17 (~always3(s87)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9206, 44301])).
% 9.70/7.17 tff(44303,plain,
% 9.70/7.17 (~always3(s86)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9218, 44302])).
% 9.70/7.17 tff(44304,plain,
% 9.70/7.17 (~always3(s85)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9230, 44303])).
% 9.70/7.17 tff(44305,plain,
% 9.70/7.17 (~always3(s84)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9242, 44304])).
% 9.70/7.17 tff(44306,plain,
% 9.70/7.17 (~always3(s83)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9254, 44305])).
% 9.70/7.17 tff(44307,plain,
% 9.70/7.17 (~always3(s82)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9266, 44306])).
% 9.70/7.17 tff(44308,plain,
% 9.70/7.17 (~always3(s81)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9278, 44307])).
% 9.70/7.17 tff(44309,plain,
% 9.70/7.17 (~always3(s80)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9290, 44308])).
% 9.70/7.17 tff(44310,plain,
% 9.70/7.17 (~always3(s79)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9302, 44309])).
% 9.70/7.17 tff(44311,plain,
% 9.70/7.17 (~always3(s78)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9314, 44310])).
% 9.70/7.17 tff(44312,plain,
% 9.70/7.17 (~always3(s77)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9326, 44311])).
% 9.70/7.17 tff(44313,plain,
% 9.70/7.17 (~always3(s76)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9338, 44312])).
% 9.70/7.17 tff(44314,plain,
% 9.70/7.17 (~always3(s75)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9350, 44313])).
% 9.70/7.17 tff(44315,plain,
% 9.70/7.17 (~always3(s74)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9362, 44314])).
% 9.70/7.17 tff(44316,plain,
% 9.70/7.17 (~always3(s73)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9374, 44315])).
% 9.70/7.17 tff(44317,plain,
% 9.70/7.17 (~always3(s72)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9386, 44316])).
% 9.70/7.17 tff(44318,plain,
% 9.70/7.17 (~always3(s71)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9398, 44317])).
% 9.70/7.17 tff(44319,plain,
% 9.70/7.17 (~always3(s70)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9410, 44318])).
% 9.70/7.17 tff(44320,plain,
% 9.70/7.17 (~always3(s69)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9422, 44319])).
% 9.70/7.17 tff(44321,plain,
% 9.70/7.17 (~always3(s68)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9434, 44320])).
% 9.70/7.17 tff(44322,plain,
% 9.70/7.17 (~always3(s67)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9446, 44321])).
% 9.70/7.17 tff(44323,plain,
% 9.70/7.17 (~always3(s66)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9458, 44322])).
% 9.70/7.17 tff(44324,plain,
% 9.70/7.17 (~always3(s65)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9470, 44323])).
% 9.70/7.17 tff(44325,plain,
% 9.70/7.17 (~always3(s64)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9482, 44324])).
% 9.70/7.17 tff(44326,plain,
% 9.70/7.17 (~always3(s63)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9494, 44325])).
% 9.70/7.17 tff(44327,plain,
% 9.70/7.17 (~always3(s62)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9506, 44326])).
% 9.70/7.17 tff(44328,plain,
% 9.70/7.17 (~always3(s61)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9518, 44327])).
% 9.70/7.17 tff(44329,plain,
% 9.70/7.17 (~always3(s60)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9530, 44328])).
% 9.70/7.17 tff(44330,plain,
% 9.70/7.17 (~always3(s59)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9542, 44329])).
% 9.70/7.17 tff(44331,plain,
% 9.70/7.17 (~always3(s58)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[9558, 44330])).
% 9.70/7.17 tff(44332,plain,
% 9.70/7.17 (~always3(s57)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[5004, 44331])).
% 9.70/7.17 tff(44333,plain,
% 9.70/7.17 (~always3(s56)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[4870, 44332])).
% 9.70/7.17 tff(44334,plain,
% 9.70/7.17 (~always3(s55)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[4750, 44333])).
% 9.70/7.17 tff(44335,plain,
% 9.70/7.17 (~always3(s54)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[4602, 44334])).
% 9.70/7.17 tff(44336,plain,
% 9.70/7.17 (~always3(s53)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[4647, 44335])).
% 9.70/7.17 tff(44337,plain,
% 9.70/7.17 (~always3(s52)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[4521, 44336])).
% 9.70/7.17 tff(44338,plain,
% 9.70/7.17 (~always3(s51)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[4412, 44337])).
% 9.70/7.17 tff(44339,plain,
% 9.70/7.17 (~always3(s50)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[4363, 44338])).
% 9.70/7.17 tff(44340,plain,
% 9.70/7.17 (~always3(s49)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[3944, 44339])).
% 9.70/7.17 tff(44341,plain,
% 9.70/7.17 (~always3(s48)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[3754, 44340])).
% 9.70/7.17 tff(44342,plain,
% 9.70/7.17 (~always3(s47)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[3799, 44341])).
% 9.70/7.17 tff(44343,plain,
% 9.70/7.17 (~always3(s46)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[3828, 44342])).
% 9.70/7.17 tff(44344,plain,
% 9.70/7.17 (~always3(s45)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[3857, 44343])).
% 9.70/7.17 tff(44345,plain,
% 9.70/7.17 (~always3(s44)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[3886, 44344])).
% 9.70/7.17 tff(44346,plain,
% 9.70/7.17 (~always3(s43)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[3705, 44345])).
% 9.70/7.17 tff(44347,plain,
% 9.70/7.17 (~always3(s42)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[3618, 44346])).
% 9.70/7.17 tff(44348,plain,
% 9.70/7.17 (~always3(s41)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[3559, 44347])).
% 9.70/7.17 tff(44349,plain,
% 9.70/7.17 (~always3(s40)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[3474, 44348])).
% 9.70/7.17 tff(44350,plain,
% 9.70/7.17 (~always3(s39)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[3424, 44349])).
% 9.70/7.17 tff(44351,plain,
% 9.70/7.17 (~always3(s38)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[3233, 44350])).
% 9.70/7.17 tff(44352,plain,
% 9.70/7.17 (~always3(s37)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[2932, 44351])).
% 9.70/7.17 tff(44353,plain,
% 9.70/7.17 (~always3(s36)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[2945, 44352])).
% 9.70/7.17 tff(44354,plain,
% 9.70/7.17 (~always3(s35)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[2991, 44353])).
% 9.70/7.17 tff(44355,plain,
% 9.70/7.17 (~always3(s34)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[3020, 44354])).
% 9.70/7.17 tff(44356,plain,
% 9.70/7.17 (~always3(s33)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[2851, 44355])).
% 9.70/7.17 tff(44357,plain,
% 9.70/7.17 (~always3(s32)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[2697, 44356])).
% 9.70/7.17 tff(44358,plain,
% 9.70/7.17 (~always3(s31)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[2617, 44357])).
% 9.70/7.17 tff(44359,plain,
% 9.70/7.17 (~always3(s30)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[2473, 44358])).
% 9.70/7.17 tff(44360,plain,
% 9.70/7.17 (~always3(s29)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[2228, 44359])).
% 9.70/7.17 tff(44361,plain,
% 9.70/7.17 (~always3(s28)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[2039, 44360])).
% 9.70/7.17 tff(44362,plain,
% 9.70/7.17 (~always3(s27)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[2084, 44361])).
% 9.70/7.17 tff(44363,plain,
% 9.70/7.17 (~always3(s26)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[2113, 44362])).
% 9.70/7.17 tff(44364,plain,
% 9.70/7.17 (~always3(s25)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[1958, 44363])).
% 9.70/7.17 tff(44365,plain,
% 9.70/7.17 (~always3(s24)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[1844, 44364])).
% 9.70/7.17 tff(44366,plain,
% 9.70/7.17 (~always3(s23)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[1728, 44365])).
% 9.70/7.17 tff(44367,plain,
% 9.70/7.17 (~always3(s22)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[1600, 44366])).
% 9.70/7.17 tff(44368,plain,
% 9.70/7.17 (~always3(s21)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[1645, 44367])).
% 9.70/7.17 tff(44369,plain,
% 9.70/7.17 (~always3(s20)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[1480, 44368])).
% 9.70/7.17 tff(44370,plain,
% 9.70/7.17 (~always3(s19)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[1363, 44369])).
% 9.70/7.17 tff(44371,plain,
% 9.70/7.17 (~always3(s18)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[1375, 44370])).
% 9.70/7.17 tff(44372,plain,
% 9.70/7.17 (~always3(s17)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[1283, 44371])).
% 9.70/7.17 tff(44373,plain,
% 9.70/7.17 (~always3(s16)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[1205, 44372])).
% 9.70/7.17 tff(44374,plain,
% 9.70/7.17 (~always3(s15)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[1125, 44373])).
% 9.70/7.17 tff(44375,plain,
% 9.70/7.17 (~always3(s14)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[1015, 44374])).
% 9.70/7.17 tff(44376,plain,
% 9.70/7.17 (~always3(s13)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[966, 44375])).
% 9.70/7.17 tff(44377,plain,
% 9.70/7.17 (~always3(s12)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[826, 44376])).
% 9.70/7.17 tff(44378,plain,
% 9.70/7.17 (~always3(s11)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[761, 44377])).
% 9.70/7.17 tff(44379,plain,
% 9.70/7.17 (~always3(s10)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[788, 44378])).
% 9.70/7.17 tff(44380,plain,
% 9.70/7.17 (~always3(s9)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[425, 44379])).
% 9.70/7.17 tff(44381,plain,
% 9.70/7.17 (~always3(s8)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[72, 44380])).
% 9.70/7.17 tff(44382,plain,
% 9.70/7.17 (~always3(s7)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[88, 44381])).
% 9.70/7.17 tff(44383,plain,
% 9.70/7.17 (~always3(s6)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[101, 44382])).
% 9.70/7.17 tff(44384,plain,
% 9.70/7.17 (~always3(s5)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[113, 44383])).
% 9.70/7.17 tff(44385,plain,
% 9.70/7.17 (~always3(s4)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[254, 44384])).
% 9.70/7.17 tff(44386,plain,
% 9.70/7.17 (~always3(s3)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[283, 44385])).
% 9.70/7.17 tff(44387,plain,
% 9.70/7.17 (~always3(s2)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[295, 44386])).
% 9.70/7.17 tff(44388,plain,
% 9.70/7.17 (~always3(s1)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[307, 44387])).
% 9.70/7.17 tff(44389,plain,
% 9.70/7.17 (~always3(s0)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[323, 44388])).
% 9.70/7.17 tff(44390,assumption,(~always3(s449)), introduced(assumption)).
% 9.70/7.17 tff(44391,plain,
% 9.70/7.17 (succ(s448, s449) <=> succ(s448, s449)),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44392,axiom,(succ(s448, s449)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound449')).
% 9.70/7.17 tff(44393,plain,
% 9.70/7.17 (succ(s448, s449)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44392, 44391])).
% 9.70/7.17 tff(44394,plain,
% 9.70/7.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s448, s449)) | trans(s448, s449))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s448, s449)) | trans(s448, s449))),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44395,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s448, s449)) | trans(s448, s449))),
% 9.70/7.17 inference(quant_inst,[status(thm)],[])).
% 9.70/7.17 tff(44396,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s448, s449)) | trans(s448, s449)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44395, 44394])).
% 9.70/7.17 tff(44397,plain,
% 9.70/7.17 (trans(s448, s449)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44396, 44393, 51])).
% 9.70/7.17 tff(44398,plain,
% 9.70/7.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (always3(s449) | (~trans(s448, s449)) | (~always3(s448)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | always3(s449) | (~trans(s448, s449)) | (~always3(s448)))),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44399,plain,
% 9.70/7.17 (((~trans(s448, s449)) | (~always3(s448)) | always3(s449)) <=> (always3(s449) | (~trans(s448, s449)) | (~always3(s448)))),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44400,plain,
% 9.70/7.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s448, s449)) | (~always3(s448)) | always3(s449))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (always3(s449) | (~trans(s448, s449)) | (~always3(s448))))),
% 9.70/7.17 inference(monotonicity,[status(thm)],[44399])).
% 9.70/7.17 tff(44401,plain,
% 9.70/7.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s448, s449)) | (~always3(s448)) | always3(s449))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | always3(s449) | (~trans(s448, s449)) | (~always3(s448)))),
% 9.70/7.17 inference(transitivity,[status(thm)],[44400, 44398])).
% 9.70/7.17 tff(44402,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s448, s449)) | (~always3(s448)) | always3(s449))),
% 9.70/7.17 inference(quant_inst,[status(thm)],[])).
% 9.70/7.17 tff(44403,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | always3(s449) | (~trans(s448, s449)) | (~always3(s448))),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44402, 44401])).
% 9.70/7.17 tff(44404,plain,
% 9.70/7.17 (always3(s449) | (~always3(s448))),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44403, 68, 44397])).
% 9.70/7.17 tff(44405,plain,
% 9.70/7.17 (~always3(s448)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44404, 44390])).
% 9.70/7.17 tff(44406,plain,
% 9.70/7.17 (succ(s447, s448) <=> succ(s447, s448)),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44407,axiom,(succ(s447, s448)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound448')).
% 9.70/7.17 tff(44408,plain,
% 9.70/7.17 (succ(s447, s448)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44407, 44406])).
% 9.70/7.17 tff(44409,plain,
% 9.70/7.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s447, s448)) | trans(s447, s448))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s447, s448)) | trans(s447, s448))),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44410,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s447, s448)) | trans(s447, s448))),
% 9.70/7.17 inference(quant_inst,[status(thm)],[])).
% 9.70/7.17 tff(44411,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s447, s448)) | trans(s447, s448)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44410, 44409])).
% 9.70/7.17 tff(44412,plain,
% 9.70/7.17 (trans(s447, s448)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44411, 44408, 51])).
% 9.70/7.17 tff(44413,plain,
% 9.70/7.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s447, s448)) | (~always3(s447)) | always3(s448))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s447, s448)) | (~always3(s447)) | always3(s448))),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44414,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s447, s448)) | (~always3(s447)) | always3(s448))),
% 9.70/7.17 inference(quant_inst,[status(thm)],[])).
% 9.70/7.17 tff(44415,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s447, s448)) | (~always3(s447)) | always3(s448)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44414, 44413])).
% 9.70/7.17 tff(44416,plain,
% 9.70/7.17 ((~always3(s447)) | always3(s448)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44415, 68, 44412])).
% 9.70/7.17 tff(44417,plain,
% 9.70/7.17 (~always3(s447)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44416, 44405])).
% 9.70/7.17 tff(44418,plain,
% 9.70/7.17 (succ(s446, s447) <=> succ(s446, s447)),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44419,axiom,(succ(s446, s447)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound447')).
% 9.70/7.17 tff(44420,plain,
% 9.70/7.17 (succ(s446, s447)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44419, 44418])).
% 9.70/7.17 tff(44421,plain,
% 9.70/7.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s446, s447)) | trans(s446, s447))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s446, s447)) | trans(s446, s447))),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44422,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s446, s447)) | trans(s446, s447))),
% 9.70/7.17 inference(quant_inst,[status(thm)],[])).
% 9.70/7.17 tff(44423,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s446, s447)) | trans(s446, s447)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44422, 44421])).
% 9.70/7.17 tff(44424,plain,
% 9.70/7.17 (trans(s446, s447)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44423, 44420, 51])).
% 9.70/7.17 tff(44425,plain,
% 9.70/7.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s446, s447)) | (~always3(s446)) | always3(s447))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s446, s447)) | (~always3(s446)) | always3(s447))),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44426,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s446, s447)) | (~always3(s446)) | always3(s447))),
% 9.70/7.17 inference(quant_inst,[status(thm)],[])).
% 9.70/7.17 tff(44427,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s446, s447)) | (~always3(s446)) | always3(s447)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44426, 44425])).
% 9.70/7.17 tff(44428,plain,
% 9.70/7.17 ((~always3(s446)) | always3(s447)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44427, 68, 44424])).
% 9.70/7.17 tff(44429,plain,
% 9.70/7.17 (~always3(s446)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44428, 44417])).
% 9.70/7.17 tff(44430,plain,
% 9.70/7.17 (succ(s445, s446) <=> succ(s445, s446)),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44431,axiom,(succ(s445, s446)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound446')).
% 9.70/7.17 tff(44432,plain,
% 9.70/7.17 (succ(s445, s446)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44431, 44430])).
% 9.70/7.17 tff(44433,plain,
% 9.70/7.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s445, s446)) | trans(s445, s446))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s445, s446)) | trans(s445, s446))),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44434,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s445, s446)) | trans(s445, s446))),
% 9.70/7.17 inference(quant_inst,[status(thm)],[])).
% 9.70/7.17 tff(44435,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s445, s446)) | trans(s445, s446)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44434, 44433])).
% 9.70/7.17 tff(44436,plain,
% 9.70/7.17 (trans(s445, s446)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44435, 44432, 51])).
% 9.70/7.17 tff(44437,plain,
% 9.70/7.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s445, s446)) | (~always3(s445)) | always3(s446))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s445, s446)) | (~always3(s445)) | always3(s446))),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44438,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s445, s446)) | (~always3(s445)) | always3(s446))),
% 9.70/7.17 inference(quant_inst,[status(thm)],[])).
% 9.70/7.17 tff(44439,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s445, s446)) | (~always3(s445)) | always3(s446)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44438, 44437])).
% 9.70/7.17 tff(44440,plain,
% 9.70/7.17 ((~always3(s445)) | always3(s446)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44439, 68, 44436])).
% 9.70/7.17 tff(44441,plain,
% 9.70/7.17 (~always3(s445)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44440, 44429])).
% 9.70/7.17 tff(44442,plain,
% 9.70/7.17 (succ(s444, s445) <=> succ(s444, s445)),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44443,axiom,(succ(s444, s445)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound445')).
% 9.70/7.17 tff(44444,plain,
% 9.70/7.17 (succ(s444, s445)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44443, 44442])).
% 9.70/7.17 tff(44445,plain,
% 9.70/7.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s444, s445)) | trans(s444, s445))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s444, s445)) | trans(s444, s445))),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44446,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s444, s445)) | trans(s444, s445))),
% 9.70/7.17 inference(quant_inst,[status(thm)],[])).
% 9.70/7.17 tff(44447,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s444, s445)) | trans(s444, s445)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44446, 44445])).
% 9.70/7.17 tff(44448,plain,
% 9.70/7.17 (trans(s444, s445)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44447, 44444, 51])).
% 9.70/7.17 tff(44449,plain,
% 9.70/7.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s444, s445)) | (~always3(s444)) | always3(s445))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s444, s445)) | (~always3(s444)) | always3(s445))),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44450,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s444, s445)) | (~always3(s444)) | always3(s445))),
% 9.70/7.17 inference(quant_inst,[status(thm)],[])).
% 9.70/7.17 tff(44451,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s444, s445)) | (~always3(s444)) | always3(s445)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44450, 44449])).
% 9.70/7.17 tff(44452,plain,
% 9.70/7.17 ((~always3(s444)) | always3(s445)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44451, 68, 44448])).
% 9.70/7.17 tff(44453,plain,
% 9.70/7.17 (~always3(s444)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44452, 44441])).
% 9.70/7.17 tff(44454,plain,
% 9.70/7.17 (succ(s443, s444) <=> succ(s443, s444)),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44455,axiom,(succ(s443, s444)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound444')).
% 9.70/7.17 tff(44456,plain,
% 9.70/7.17 (succ(s443, s444)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44455, 44454])).
% 9.70/7.17 tff(44457,plain,
% 9.70/7.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s443, s444)) | trans(s443, s444))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s443, s444)) | trans(s443, s444))),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44458,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s443, s444)) | trans(s443, s444))),
% 9.70/7.17 inference(quant_inst,[status(thm)],[])).
% 9.70/7.17 tff(44459,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s443, s444)) | trans(s443, s444)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44458, 44457])).
% 9.70/7.17 tff(44460,plain,
% 9.70/7.17 (trans(s443, s444)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44459, 44456, 51])).
% 9.70/7.17 tff(44461,plain,
% 9.70/7.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s443, s444)) | (~always3(s443)) | always3(s444))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s443, s444)) | (~always3(s443)) | always3(s444))),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44462,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s443, s444)) | (~always3(s443)) | always3(s444))),
% 9.70/7.17 inference(quant_inst,[status(thm)],[])).
% 9.70/7.17 tff(44463,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s443, s444)) | (~always3(s443)) | always3(s444)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44462, 44461])).
% 9.70/7.17 tff(44464,plain,
% 9.70/7.17 ((~always3(s443)) | always3(s444)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44463, 68, 44460])).
% 9.70/7.17 tff(44465,plain,
% 9.70/7.17 (~always3(s443)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44464, 44453])).
% 9.70/7.17 tff(44466,plain,
% 9.70/7.17 (succ(s442, s443) <=> succ(s442, s443)),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44467,axiom,(succ(s442, s443)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound443')).
% 9.70/7.17 tff(44468,plain,
% 9.70/7.17 (succ(s442, s443)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44467, 44466])).
% 9.70/7.17 tff(44469,plain,
% 9.70/7.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s442, s443)) | trans(s442, s443))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s442, s443)) | trans(s442, s443))),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44470,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s442, s443)) | trans(s442, s443))),
% 9.70/7.17 inference(quant_inst,[status(thm)],[])).
% 9.70/7.17 tff(44471,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s442, s443)) | trans(s442, s443)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44470, 44469])).
% 9.70/7.17 tff(44472,plain,
% 9.70/7.17 (trans(s442, s443)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44471, 44468, 51])).
% 9.70/7.17 tff(44473,plain,
% 9.70/7.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s442, s443)) | (~always3(s442)) | always3(s443))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s442, s443)) | (~always3(s442)) | always3(s443))),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44474,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s442, s443)) | (~always3(s442)) | always3(s443))),
% 9.70/7.17 inference(quant_inst,[status(thm)],[])).
% 9.70/7.17 tff(44475,plain,
% 9.70/7.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s442, s443)) | (~always3(s442)) | always3(s443)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44474, 44473])).
% 9.70/7.17 tff(44476,plain,
% 9.70/7.17 ((~always3(s442)) | always3(s443)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44475, 68, 44472])).
% 9.70/7.17 tff(44477,plain,
% 9.70/7.17 (~always3(s442)),
% 9.70/7.17 inference(unit_resolution,[status(thm)],[44476, 44465])).
% 9.70/7.17 tff(44478,plain,
% 9.70/7.17 (succ(s441, s442) <=> succ(s441, s442)),
% 9.70/7.17 inference(rewrite,[status(thm)],[])).
% 9.70/7.17 tff(44479,axiom,(succ(s441, s442)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound442')).
% 9.70/7.17 tff(44480,plain,
% 9.70/7.17 (succ(s441, s442)),
% 9.70/7.17 inference(modus_ponens,[status(thm)],[44479, 44478])).
% 9.70/7.18 tff(44481,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s441, s442)) | trans(s441, s442))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s441, s442)) | trans(s441, s442))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44482,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s441, s442)) | trans(s441, s442))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44483,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s441, s442)) | trans(s441, s442)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44482, 44481])).
% 9.70/7.18 tff(44484,plain,
% 9.70/7.18 (trans(s441, s442)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44483, 44480, 51])).
% 9.70/7.18 tff(44485,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s441, s442)) | (~always3(s441)) | always3(s442))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s441, s442)) | (~always3(s441)) | always3(s442))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44486,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s441, s442)) | (~always3(s441)) | always3(s442))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44487,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s441, s442)) | (~always3(s441)) | always3(s442)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44486, 44485])).
% 9.70/7.18 tff(44488,plain,
% 9.70/7.18 ((~always3(s441)) | always3(s442)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44487, 68, 44484])).
% 9.70/7.18 tff(44489,plain,
% 9.70/7.18 (~always3(s441)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44488, 44477])).
% 9.70/7.18 tff(44490,plain,
% 9.70/7.18 (succ(s440, s441) <=> succ(s440, s441)),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44491,axiom,(succ(s440, s441)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound441')).
% 9.70/7.18 tff(44492,plain,
% 9.70/7.18 (succ(s440, s441)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44491, 44490])).
% 9.70/7.18 tff(44493,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s440, s441)) | trans(s440, s441))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s440, s441)) | trans(s440, s441))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44494,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s440, s441)) | trans(s440, s441))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44495,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s440, s441)) | trans(s440, s441)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44494, 44493])).
% 9.70/7.18 tff(44496,plain,
% 9.70/7.18 (trans(s440, s441)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44495, 44492, 51])).
% 9.70/7.18 tff(44497,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s440, s441)) | (~always3(s440)) | always3(s441))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s440, s441)) | (~always3(s440)) | always3(s441))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44498,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s440, s441)) | (~always3(s440)) | always3(s441))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44499,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s440, s441)) | (~always3(s440)) | always3(s441)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44498, 44497])).
% 9.70/7.18 tff(44500,plain,
% 9.70/7.18 ((~always3(s440)) | always3(s441)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44499, 68, 44496])).
% 9.70/7.18 tff(44501,plain,
% 9.70/7.18 (~always3(s440)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44500, 44489])).
% 9.70/7.18 tff(44502,plain,
% 9.70/7.18 (succ(s439, s440) <=> succ(s439, s440)),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44503,axiom,(succ(s439, s440)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound440')).
% 9.70/7.18 tff(44504,plain,
% 9.70/7.18 (succ(s439, s440)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44503, 44502])).
% 9.70/7.18 tff(44505,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s439, s440)) | trans(s439, s440))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s439, s440)) | trans(s439, s440))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44506,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s439, s440)) | trans(s439, s440))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44507,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s439, s440)) | trans(s439, s440)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44506, 44505])).
% 9.70/7.18 tff(44508,plain,
% 9.70/7.18 (trans(s439, s440)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44507, 44504, 51])).
% 9.70/7.18 tff(44509,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s439, s440)) | (~always3(s439)) | always3(s440))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s439, s440)) | (~always3(s439)) | always3(s440))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44510,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s439, s440)) | (~always3(s439)) | always3(s440))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44511,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s439, s440)) | (~always3(s439)) | always3(s440)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44510, 44509])).
% 9.70/7.18 tff(44512,plain,
% 9.70/7.18 ((~always3(s439)) | always3(s440)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44511, 68, 44508])).
% 9.70/7.18 tff(44513,plain,
% 9.70/7.18 (~always3(s439)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44512, 44501])).
% 9.70/7.18 tff(44514,plain,
% 9.70/7.18 (succ(s438, s439) <=> succ(s438, s439)),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44515,axiom,(succ(s438, s439)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound439')).
% 9.70/7.18 tff(44516,plain,
% 9.70/7.18 (succ(s438, s439)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44515, 44514])).
% 9.70/7.18 tff(44517,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s438, s439)) | trans(s438, s439))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s438, s439)) | trans(s438, s439))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44518,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s438, s439)) | trans(s438, s439))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44519,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s438, s439)) | trans(s438, s439)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44518, 44517])).
% 9.70/7.18 tff(44520,plain,
% 9.70/7.18 (trans(s438, s439)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44519, 44516, 51])).
% 9.70/7.18 tff(44521,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s438, s439)) | (~always3(s438)) | always3(s439))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s438, s439)) | (~always3(s438)) | always3(s439))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44522,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s438, s439)) | (~always3(s438)) | always3(s439))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44523,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s438, s439)) | (~always3(s438)) | always3(s439)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44522, 44521])).
% 9.70/7.18 tff(44524,plain,
% 9.70/7.18 ((~always3(s438)) | always3(s439)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44523, 68, 44520])).
% 9.70/7.18 tff(44525,plain,
% 9.70/7.18 (~always3(s438)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44524, 44513])).
% 9.70/7.18 tff(44526,plain,
% 9.70/7.18 (succ(s437, s438) <=> succ(s437, s438)),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44527,axiom,(succ(s437, s438)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound438')).
% 9.70/7.18 tff(44528,plain,
% 9.70/7.18 (succ(s437, s438)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44527, 44526])).
% 9.70/7.18 tff(44529,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s437, s438)) | trans(s437, s438))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s437, s438)) | trans(s437, s438))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44530,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s437, s438)) | trans(s437, s438))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44531,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s437, s438)) | trans(s437, s438)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44530, 44529])).
% 9.70/7.18 tff(44532,plain,
% 9.70/7.18 (trans(s437, s438)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44531, 44528, 51])).
% 9.70/7.18 tff(44533,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s437, s438)) | (~always3(s437)) | always3(s438))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s437, s438)) | (~always3(s437)) | always3(s438))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44534,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s437, s438)) | (~always3(s437)) | always3(s438))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44535,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s437, s438)) | (~always3(s437)) | always3(s438)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44534, 44533])).
% 9.70/7.18 tff(44536,plain,
% 9.70/7.18 ((~always3(s437)) | always3(s438)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44535, 68, 44532])).
% 9.70/7.18 tff(44537,plain,
% 9.70/7.18 (~always3(s437)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44536, 44525])).
% 9.70/7.18 tff(44538,plain,
% 9.70/7.18 (succ(s436, s437) <=> succ(s436, s437)),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44539,axiom,(succ(s436, s437)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound437')).
% 9.70/7.18 tff(44540,plain,
% 9.70/7.18 (succ(s436, s437)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44539, 44538])).
% 9.70/7.18 tff(44541,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s436, s437)) | trans(s436, s437))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s436, s437)) | trans(s436, s437))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44542,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s436, s437)) | trans(s436, s437))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44543,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s436, s437)) | trans(s436, s437)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44542, 44541])).
% 9.70/7.18 tff(44544,plain,
% 9.70/7.18 (trans(s436, s437)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44543, 44540, 51])).
% 9.70/7.18 tff(44545,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s436, s437)) | (~always3(s436)) | always3(s437))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s436, s437)) | (~always3(s436)) | always3(s437))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44546,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s436, s437)) | (~always3(s436)) | always3(s437))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44547,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s436, s437)) | (~always3(s436)) | always3(s437)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44546, 44545])).
% 9.70/7.18 tff(44548,plain,
% 9.70/7.18 ((~always3(s436)) | always3(s437)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44547, 68, 44544])).
% 9.70/7.18 tff(44549,plain,
% 9.70/7.18 (~always3(s436)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44548, 44537])).
% 9.70/7.18 tff(44550,plain,
% 9.70/7.18 (succ(s435, s436) <=> succ(s435, s436)),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44551,axiom,(succ(s435, s436)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound436')).
% 9.70/7.18 tff(44552,plain,
% 9.70/7.18 (succ(s435, s436)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44551, 44550])).
% 9.70/7.18 tff(44553,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s435, s436)) | trans(s435, s436))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s435, s436)) | trans(s435, s436))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44554,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s435, s436)) | trans(s435, s436))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44555,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s435, s436)) | trans(s435, s436)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44554, 44553])).
% 9.70/7.18 tff(44556,plain,
% 9.70/7.18 (trans(s435, s436)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44555, 44552, 51])).
% 9.70/7.18 tff(44557,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s435, s436)) | (~always3(s435)) | always3(s436))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s435, s436)) | (~always3(s435)) | always3(s436))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44558,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s435, s436)) | (~always3(s435)) | always3(s436))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44559,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s435, s436)) | (~always3(s435)) | always3(s436)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44558, 44557])).
% 9.70/7.18 tff(44560,plain,
% 9.70/7.18 ((~always3(s435)) | always3(s436)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44559, 68, 44556])).
% 9.70/7.18 tff(44561,plain,
% 9.70/7.18 (~always3(s435)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44560, 44549])).
% 9.70/7.18 tff(44562,plain,
% 9.70/7.18 (succ(s434, s435) <=> succ(s434, s435)),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44563,axiom,(succ(s434, s435)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound435')).
% 9.70/7.18 tff(44564,plain,
% 9.70/7.18 (succ(s434, s435)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44563, 44562])).
% 9.70/7.18 tff(44565,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s434, s435)) | trans(s434, s435))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s434, s435)) | trans(s434, s435))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44566,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s434, s435)) | trans(s434, s435))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44567,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s434, s435)) | trans(s434, s435)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44566, 44565])).
% 9.70/7.18 tff(44568,plain,
% 9.70/7.18 (trans(s434, s435)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44567, 44564, 51])).
% 9.70/7.18 tff(44569,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s434, s435)) | (~always3(s434)) | always3(s435))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s434, s435)) | (~always3(s434)) | always3(s435))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44570,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s434, s435)) | (~always3(s434)) | always3(s435))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44571,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s434, s435)) | (~always3(s434)) | always3(s435)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44570, 44569])).
% 9.70/7.18 tff(44572,plain,
% 9.70/7.18 ((~always3(s434)) | always3(s435)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44571, 68, 44568])).
% 9.70/7.18 tff(44573,plain,
% 9.70/7.18 (~always3(s434)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44572, 44561])).
% 9.70/7.18 tff(44574,plain,
% 9.70/7.18 (succ(s433, s434) <=> succ(s433, s434)),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44575,axiom,(succ(s433, s434)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound434')).
% 9.70/7.18 tff(44576,plain,
% 9.70/7.18 (succ(s433, s434)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44575, 44574])).
% 9.70/7.18 tff(44577,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s433, s434)) | trans(s433, s434))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s433, s434)) | trans(s433, s434))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44578,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s433, s434)) | trans(s433, s434))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44579,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s433, s434)) | trans(s433, s434)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44578, 44577])).
% 9.70/7.18 tff(44580,plain,
% 9.70/7.18 (trans(s433, s434)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44579, 44576, 51])).
% 9.70/7.18 tff(44581,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s433, s434)) | (~always3(s433)) | always3(s434))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s433, s434)) | (~always3(s433)) | always3(s434))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44582,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s433, s434)) | (~always3(s433)) | always3(s434))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44583,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s433, s434)) | (~always3(s433)) | always3(s434)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44582, 44581])).
% 9.70/7.18 tff(44584,plain,
% 9.70/7.18 ((~always3(s433)) | always3(s434)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44583, 68, 44580])).
% 9.70/7.18 tff(44585,plain,
% 9.70/7.18 (~always3(s433)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44584, 44573])).
% 9.70/7.18 tff(44586,plain,
% 9.70/7.18 (succ(s432, s433) <=> succ(s432, s433)),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44587,axiom,(succ(s432, s433)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound433')).
% 9.70/7.18 tff(44588,plain,
% 9.70/7.18 (succ(s432, s433)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44587, 44586])).
% 9.70/7.18 tff(44589,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s432, s433)) | trans(s432, s433))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s432, s433)) | trans(s432, s433))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44590,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s432, s433)) | trans(s432, s433))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44591,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s432, s433)) | trans(s432, s433)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44590, 44589])).
% 9.70/7.18 tff(44592,plain,
% 9.70/7.18 (trans(s432, s433)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44591, 44588, 51])).
% 9.70/7.18 tff(44593,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s432, s433)) | (~always3(s432)) | always3(s433))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s432, s433)) | (~always3(s432)) | always3(s433))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44594,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s432, s433)) | (~always3(s432)) | always3(s433))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44595,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s432, s433)) | (~always3(s432)) | always3(s433)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44594, 44593])).
% 9.70/7.18 tff(44596,plain,
% 9.70/7.18 ((~always3(s432)) | always3(s433)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44595, 68, 44592])).
% 9.70/7.18 tff(44597,plain,
% 9.70/7.18 (~always3(s432)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44596, 44585])).
% 9.70/7.18 tff(44598,plain,
% 9.70/7.18 (succ(s431, s432) <=> succ(s431, s432)),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44599,axiom,(succ(s431, s432)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound432')).
% 9.70/7.18 tff(44600,plain,
% 9.70/7.18 (succ(s431, s432)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44599, 44598])).
% 9.70/7.18 tff(44601,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s431, s432)) | trans(s431, s432))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s431, s432)) | trans(s431, s432))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44602,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s431, s432)) | trans(s431, s432))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44603,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s431, s432)) | trans(s431, s432)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44602, 44601])).
% 9.70/7.18 tff(44604,plain,
% 9.70/7.18 (trans(s431, s432)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44603, 44600, 51])).
% 9.70/7.18 tff(44605,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s431, s432)) | (~always3(s431)) | always3(s432))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s431, s432)) | (~always3(s431)) | always3(s432))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44606,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s431, s432)) | (~always3(s431)) | always3(s432))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44607,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s431, s432)) | (~always3(s431)) | always3(s432)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44606, 44605])).
% 9.70/7.18 tff(44608,plain,
% 9.70/7.18 ((~always3(s431)) | always3(s432)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44607, 68, 44604])).
% 9.70/7.18 tff(44609,plain,
% 9.70/7.18 (~always3(s431)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44608, 44597])).
% 9.70/7.18 tff(44610,plain,
% 9.70/7.18 (succ(s430, s431) <=> succ(s430, s431)),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44611,axiom,(succ(s430, s431)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound431')).
% 9.70/7.18 tff(44612,plain,
% 9.70/7.18 (succ(s430, s431)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44611, 44610])).
% 9.70/7.18 tff(44613,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s430, s431)) | trans(s430, s431))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s430, s431)) | trans(s430, s431))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44614,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s430, s431)) | trans(s430, s431))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44615,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s430, s431)) | trans(s430, s431)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44614, 44613])).
% 9.70/7.18 tff(44616,plain,
% 9.70/7.18 (trans(s430, s431)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44615, 44612, 51])).
% 9.70/7.18 tff(44617,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s430, s431)) | (~always3(s430)) | always3(s431))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s430, s431)) | (~always3(s430)) | always3(s431))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44618,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s430, s431)) | (~always3(s430)) | always3(s431))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44619,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s430, s431)) | (~always3(s430)) | always3(s431)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44618, 44617])).
% 9.70/7.18 tff(44620,plain,
% 9.70/7.18 ((~always3(s430)) | always3(s431)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44619, 68, 44616])).
% 9.70/7.18 tff(44621,plain,
% 9.70/7.18 (~always3(s430)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44620, 44609])).
% 9.70/7.18 tff(44622,plain,
% 9.70/7.18 (succ(s429, s430) <=> succ(s429, s430)),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44623,axiom,(succ(s429, s430)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound430')).
% 9.70/7.18 tff(44624,plain,
% 9.70/7.18 (succ(s429, s430)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44623, 44622])).
% 9.70/7.18 tff(44625,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s429, s430)) | trans(s429, s430))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s429, s430)) | trans(s429, s430))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44626,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s429, s430)) | trans(s429, s430))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44627,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s429, s430)) | trans(s429, s430)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44626, 44625])).
% 9.70/7.18 tff(44628,plain,
% 9.70/7.18 (trans(s429, s430)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44627, 44624, 51])).
% 9.70/7.18 tff(44629,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s429, s430)) | (~always3(s429)) | always3(s430))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s429, s430)) | (~always3(s429)) | always3(s430))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44630,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s429, s430)) | (~always3(s429)) | always3(s430))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44631,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s429, s430)) | (~always3(s429)) | always3(s430)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44630, 44629])).
% 9.70/7.18 tff(44632,plain,
% 9.70/7.18 ((~always3(s429)) | always3(s430)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44631, 68, 44628])).
% 9.70/7.18 tff(44633,plain,
% 9.70/7.18 (~always3(s429)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44632, 44621])).
% 9.70/7.18 tff(44634,plain,
% 9.70/7.18 (succ(s428, s429) <=> succ(s428, s429)),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44635,axiom,(succ(s428, s429)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound429')).
% 9.70/7.18 tff(44636,plain,
% 9.70/7.18 (succ(s428, s429)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44635, 44634])).
% 9.70/7.18 tff(44637,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s428, s429)) | trans(s428, s429))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s428, s429)) | trans(s428, s429))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44638,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s428, s429)) | trans(s428, s429))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44639,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s428, s429)) | trans(s428, s429)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44638, 44637])).
% 9.70/7.18 tff(44640,plain,
% 9.70/7.18 (trans(s428, s429)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44639, 44636, 51])).
% 9.70/7.18 tff(44641,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s428, s429)) | (~always3(s428)) | always3(s429))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s428, s429)) | (~always3(s428)) | always3(s429))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44642,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s428, s429)) | (~always3(s428)) | always3(s429))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44643,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s428, s429)) | (~always3(s428)) | always3(s429)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44642, 44641])).
% 9.70/7.18 tff(44644,plain,
% 9.70/7.18 ((~always3(s428)) | always3(s429)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44643, 68, 44640])).
% 9.70/7.18 tff(44645,plain,
% 9.70/7.18 (~always3(s428)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44644, 44633])).
% 9.70/7.18 tff(44646,plain,
% 9.70/7.18 (succ(s427, s428) <=> succ(s427, s428)),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44647,axiom,(succ(s427, s428)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound428')).
% 9.70/7.18 tff(44648,plain,
% 9.70/7.18 (succ(s427, s428)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44647, 44646])).
% 9.70/7.18 tff(44649,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s427, s428)) | trans(s427, s428))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s427, s428)) | trans(s427, s428))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44650,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s427, s428)) | trans(s427, s428))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44651,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s427, s428)) | trans(s427, s428)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44650, 44649])).
% 9.70/7.18 tff(44652,plain,
% 9.70/7.18 (trans(s427, s428)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44651, 44648, 51])).
% 9.70/7.18 tff(44653,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s427, s428)) | (~always3(s427)) | always3(s428))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s427, s428)) | (~always3(s427)) | always3(s428))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44654,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s427, s428)) | (~always3(s427)) | always3(s428))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44655,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s427, s428)) | (~always3(s427)) | always3(s428)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44654, 44653])).
% 9.70/7.18 tff(44656,plain,
% 9.70/7.18 ((~always3(s427)) | always3(s428)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44655, 68, 44652])).
% 9.70/7.18 tff(44657,plain,
% 9.70/7.18 (~always3(s427)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44656, 44645])).
% 9.70/7.18 tff(44658,plain,
% 9.70/7.18 (succ(s426, s427) <=> succ(s426, s427)),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44659,axiom,(succ(s426, s427)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound427')).
% 9.70/7.18 tff(44660,plain,
% 9.70/7.18 (succ(s426, s427)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44659, 44658])).
% 9.70/7.18 tff(44661,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s426, s427)) | trans(s426, s427))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s426, s427)) | trans(s426, s427))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44662,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s426, s427)) | trans(s426, s427))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44663,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s426, s427)) | trans(s426, s427)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44662, 44661])).
% 9.70/7.18 tff(44664,plain,
% 9.70/7.18 (trans(s426, s427)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44663, 44660, 51])).
% 9.70/7.18 tff(44665,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s426, s427)) | (~always3(s426)) | always3(s427))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s426, s427)) | (~always3(s426)) | always3(s427))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44666,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s426, s427)) | (~always3(s426)) | always3(s427))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44667,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s426, s427)) | (~always3(s426)) | always3(s427)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44666, 44665])).
% 9.70/7.18 tff(44668,plain,
% 9.70/7.18 ((~always3(s426)) | always3(s427)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44667, 68, 44664])).
% 9.70/7.18 tff(44669,plain,
% 9.70/7.18 (~always3(s426)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44668, 44657])).
% 9.70/7.18 tff(44670,plain,
% 9.70/7.18 (succ(s425, s426) <=> succ(s425, s426)),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44671,axiom,(succ(s425, s426)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound426')).
% 9.70/7.18 tff(44672,plain,
% 9.70/7.18 (succ(s425, s426)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44671, 44670])).
% 9.70/7.18 tff(44673,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s425, s426)) | trans(s425, s426))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s425, s426)) | trans(s425, s426))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44674,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s425, s426)) | trans(s425, s426))),
% 9.70/7.18 inference(quant_inst,[status(thm)],[])).
% 9.70/7.18 tff(44675,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s425, s426)) | trans(s425, s426)),
% 9.70/7.18 inference(modus_ponens,[status(thm)],[44674, 44673])).
% 9.70/7.18 tff(44676,plain,
% 9.70/7.18 (trans(s425, s426)),
% 9.70/7.18 inference(unit_resolution,[status(thm)],[44675, 44672, 51])).
% 9.70/7.18 tff(44677,plain,
% 9.70/7.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s425, s426)) | (~always3(s425)) | always3(s426))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s425, s426)) | (~always3(s425)) | always3(s426))),
% 9.70/7.18 inference(rewrite,[status(thm)],[])).
% 9.70/7.18 tff(44678,plain,
% 9.70/7.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s425, s426)) | (~always3(s425)) | always3(s426))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44679,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s425, s426)) | (~always3(s425)) | always3(s426)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44678, 44677])).
% 9.70/7.19 tff(44680,plain,
% 9.70/7.19 ((~always3(s425)) | always3(s426)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44679, 68, 44676])).
% 9.70/7.19 tff(44681,plain,
% 9.70/7.19 (~always3(s425)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44680, 44669])).
% 9.70/7.19 tff(44682,plain,
% 9.70/7.19 (succ(s424, s425) <=> succ(s424, s425)),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44683,axiom,(succ(s424, s425)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound425')).
% 9.70/7.19 tff(44684,plain,
% 9.70/7.19 (succ(s424, s425)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44683, 44682])).
% 9.70/7.19 tff(44685,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s424, s425)) | trans(s424, s425))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s424, s425)) | trans(s424, s425))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44686,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s424, s425)) | trans(s424, s425))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44687,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s424, s425)) | trans(s424, s425)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44686, 44685])).
% 9.70/7.19 tff(44688,plain,
% 9.70/7.19 (trans(s424, s425)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44687, 44684, 51])).
% 9.70/7.19 tff(44689,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s424, s425)) | (~always3(s424)) | always3(s425))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s424, s425)) | (~always3(s424)) | always3(s425))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44690,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s424, s425)) | (~always3(s424)) | always3(s425))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44691,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s424, s425)) | (~always3(s424)) | always3(s425)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44690, 44689])).
% 9.70/7.19 tff(44692,plain,
% 9.70/7.19 ((~always3(s424)) | always3(s425)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44691, 68, 44688])).
% 9.70/7.19 tff(44693,plain,
% 9.70/7.19 (~always3(s424)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44692, 44681])).
% 9.70/7.19 tff(44694,plain,
% 9.70/7.19 (succ(s423, s424) <=> succ(s423, s424)),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44695,axiom,(succ(s423, s424)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound424')).
% 9.70/7.19 tff(44696,plain,
% 9.70/7.19 (succ(s423, s424)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44695, 44694])).
% 9.70/7.19 tff(44697,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s423, s424)) | trans(s423, s424))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s423, s424)) | trans(s423, s424))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44698,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s423, s424)) | trans(s423, s424))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44699,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s423, s424)) | trans(s423, s424)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44698, 44697])).
% 9.70/7.19 tff(44700,plain,
% 9.70/7.19 (trans(s423, s424)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44699, 44696, 51])).
% 9.70/7.19 tff(44701,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s423, s424)) | (~always3(s423)) | always3(s424))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s423, s424)) | (~always3(s423)) | always3(s424))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44702,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s423, s424)) | (~always3(s423)) | always3(s424))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44703,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s423, s424)) | (~always3(s423)) | always3(s424)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44702, 44701])).
% 9.70/7.19 tff(44704,plain,
% 9.70/7.19 ((~always3(s423)) | always3(s424)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44703, 68, 44700])).
% 9.70/7.19 tff(44705,plain,
% 9.70/7.19 (~always3(s423)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44704, 44693])).
% 9.70/7.19 tff(44706,plain,
% 9.70/7.19 (succ(s422, s423) <=> succ(s422, s423)),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44707,axiom,(succ(s422, s423)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound423')).
% 9.70/7.19 tff(44708,plain,
% 9.70/7.19 (succ(s422, s423)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44707, 44706])).
% 9.70/7.19 tff(44709,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s422, s423)) | trans(s422, s423))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s422, s423)) | trans(s422, s423))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44710,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s422, s423)) | trans(s422, s423))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44711,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s422, s423)) | trans(s422, s423)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44710, 44709])).
% 9.70/7.19 tff(44712,plain,
% 9.70/7.19 (trans(s422, s423)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44711, 44708, 51])).
% 9.70/7.19 tff(44713,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s422, s423)) | (~always3(s422)) | always3(s423))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s422, s423)) | (~always3(s422)) | always3(s423))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44714,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s422, s423)) | (~always3(s422)) | always3(s423))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44715,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s422, s423)) | (~always3(s422)) | always3(s423)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44714, 44713])).
% 9.70/7.19 tff(44716,plain,
% 9.70/7.19 ((~always3(s422)) | always3(s423)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44715, 68, 44712])).
% 9.70/7.19 tff(44717,plain,
% 9.70/7.19 (~always3(s422)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44716, 44705])).
% 9.70/7.19 tff(44718,plain,
% 9.70/7.19 (succ(s421, s422) <=> succ(s421, s422)),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44719,axiom,(succ(s421, s422)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound422')).
% 9.70/7.19 tff(44720,plain,
% 9.70/7.19 (succ(s421, s422)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44719, 44718])).
% 9.70/7.19 tff(44721,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s421, s422)) | trans(s421, s422))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s421, s422)) | trans(s421, s422))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44722,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s421, s422)) | trans(s421, s422))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44723,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s421, s422)) | trans(s421, s422)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44722, 44721])).
% 9.70/7.19 tff(44724,plain,
% 9.70/7.19 (trans(s421, s422)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44723, 44720, 51])).
% 9.70/7.19 tff(44725,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s421, s422)) | (~always3(s421)) | always3(s422))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s421, s422)) | (~always3(s421)) | always3(s422))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44726,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s421, s422)) | (~always3(s421)) | always3(s422))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44727,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s421, s422)) | (~always3(s421)) | always3(s422)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44726, 44725])).
% 9.70/7.19 tff(44728,plain,
% 9.70/7.19 ((~always3(s421)) | always3(s422)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44727, 68, 44724])).
% 9.70/7.19 tff(44729,plain,
% 9.70/7.19 (~always3(s421)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44728, 44717])).
% 9.70/7.19 tff(44730,plain,
% 9.70/7.19 (succ(s420, s421) <=> succ(s420, s421)),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44731,axiom,(succ(s420, s421)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound421')).
% 9.70/7.19 tff(44732,plain,
% 9.70/7.19 (succ(s420, s421)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44731, 44730])).
% 9.70/7.19 tff(44733,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s420, s421)) | trans(s420, s421))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s420, s421)) | trans(s420, s421))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44734,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s420, s421)) | trans(s420, s421))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44735,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s420, s421)) | trans(s420, s421)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44734, 44733])).
% 9.70/7.19 tff(44736,plain,
% 9.70/7.19 (trans(s420, s421)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44735, 44732, 51])).
% 9.70/7.19 tff(44737,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s420, s421)) | (~always3(s420)) | always3(s421))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s420, s421)) | (~always3(s420)) | always3(s421))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44738,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s420, s421)) | (~always3(s420)) | always3(s421))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44739,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s420, s421)) | (~always3(s420)) | always3(s421)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44738, 44737])).
% 9.70/7.19 tff(44740,plain,
% 9.70/7.19 ((~always3(s420)) | always3(s421)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44739, 68, 44736])).
% 9.70/7.19 tff(44741,plain,
% 9.70/7.19 (~always3(s420)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44740, 44729])).
% 9.70/7.19 tff(44742,plain,
% 9.70/7.19 (succ(s419, s420) <=> succ(s419, s420)),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44743,axiom,(succ(s419, s420)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound420')).
% 9.70/7.19 tff(44744,plain,
% 9.70/7.19 (succ(s419, s420)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44743, 44742])).
% 9.70/7.19 tff(44745,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s419, s420)) | trans(s419, s420))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s419, s420)) | trans(s419, s420))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44746,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s419, s420)) | trans(s419, s420))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44747,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s419, s420)) | trans(s419, s420)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44746, 44745])).
% 9.70/7.19 tff(44748,plain,
% 9.70/7.19 (trans(s419, s420)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44747, 44744, 51])).
% 9.70/7.19 tff(44749,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s419, s420)) | (~always3(s419)) | always3(s420))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s419, s420)) | (~always3(s419)) | always3(s420))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44750,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s419, s420)) | (~always3(s419)) | always3(s420))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44751,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s419, s420)) | (~always3(s419)) | always3(s420)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44750, 44749])).
% 9.70/7.19 tff(44752,plain,
% 9.70/7.19 ((~always3(s419)) | always3(s420)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44751, 68, 44748])).
% 9.70/7.19 tff(44753,plain,
% 9.70/7.19 (~always3(s419)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44752, 44741])).
% 9.70/7.19 tff(44754,plain,
% 9.70/7.19 (succ(s418, s419) <=> succ(s418, s419)),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44755,axiom,(succ(s418, s419)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound419')).
% 9.70/7.19 tff(44756,plain,
% 9.70/7.19 (succ(s418, s419)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44755, 44754])).
% 9.70/7.19 tff(44757,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s418, s419)) | trans(s418, s419))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s418, s419)) | trans(s418, s419))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44758,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s418, s419)) | trans(s418, s419))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44759,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s418, s419)) | trans(s418, s419)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44758, 44757])).
% 9.70/7.19 tff(44760,plain,
% 9.70/7.19 (trans(s418, s419)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44759, 44756, 51])).
% 9.70/7.19 tff(44761,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s418, s419)) | (~always3(s418)) | always3(s419))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s418, s419)) | (~always3(s418)) | always3(s419))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44762,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s418, s419)) | (~always3(s418)) | always3(s419))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44763,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s418, s419)) | (~always3(s418)) | always3(s419)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44762, 44761])).
% 9.70/7.19 tff(44764,plain,
% 9.70/7.19 ((~always3(s418)) | always3(s419)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44763, 68, 44760])).
% 9.70/7.19 tff(44765,plain,
% 9.70/7.19 (~always3(s418)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44764, 44753])).
% 9.70/7.19 tff(44766,plain,
% 9.70/7.19 (succ(s417, s418) <=> succ(s417, s418)),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44767,axiom,(succ(s417, s418)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound418')).
% 9.70/7.19 tff(44768,plain,
% 9.70/7.19 (succ(s417, s418)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44767, 44766])).
% 9.70/7.19 tff(44769,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s417, s418)) | trans(s417, s418))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s417, s418)) | trans(s417, s418))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44770,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s417, s418)) | trans(s417, s418))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44771,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s417, s418)) | trans(s417, s418)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44770, 44769])).
% 9.70/7.19 tff(44772,plain,
% 9.70/7.19 (trans(s417, s418)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44771, 44768, 51])).
% 9.70/7.19 tff(44773,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s417, s418)) | (~always3(s417)) | always3(s418))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s417, s418)) | (~always3(s417)) | always3(s418))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44774,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s417, s418)) | (~always3(s417)) | always3(s418))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44775,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s417, s418)) | (~always3(s417)) | always3(s418)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44774, 44773])).
% 9.70/7.19 tff(44776,plain,
% 9.70/7.19 ((~always3(s417)) | always3(s418)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44775, 68, 44772])).
% 9.70/7.19 tff(44777,plain,
% 9.70/7.19 (~always3(s417)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44776, 44765])).
% 9.70/7.19 tff(44778,plain,
% 9.70/7.19 (succ(s416, s417) <=> succ(s416, s417)),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44779,axiom,(succ(s416, s417)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound417')).
% 9.70/7.19 tff(44780,plain,
% 9.70/7.19 (succ(s416, s417)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44779, 44778])).
% 9.70/7.19 tff(44781,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s416, s417)) | trans(s416, s417))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s416, s417)) | trans(s416, s417))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44782,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s416, s417)) | trans(s416, s417))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44783,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s416, s417)) | trans(s416, s417)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44782, 44781])).
% 9.70/7.19 tff(44784,plain,
% 9.70/7.19 (trans(s416, s417)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44783, 44780, 51])).
% 9.70/7.19 tff(44785,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s416, s417)) | (~always3(s416)) | always3(s417))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s416, s417)) | (~always3(s416)) | always3(s417))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44786,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s416, s417)) | (~always3(s416)) | always3(s417))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44787,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s416, s417)) | (~always3(s416)) | always3(s417)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44786, 44785])).
% 9.70/7.19 tff(44788,plain,
% 9.70/7.19 ((~always3(s416)) | always3(s417)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44787, 68, 44784])).
% 9.70/7.19 tff(44789,plain,
% 9.70/7.19 (~always3(s416)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44788, 44777])).
% 9.70/7.19 tff(44790,plain,
% 9.70/7.19 (succ(s415, s416) <=> succ(s415, s416)),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44791,axiom,(succ(s415, s416)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound416')).
% 9.70/7.19 tff(44792,plain,
% 9.70/7.19 (succ(s415, s416)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44791, 44790])).
% 9.70/7.19 tff(44793,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s415, s416)) | trans(s415, s416))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s415, s416)) | trans(s415, s416))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44794,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s415, s416)) | trans(s415, s416))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44795,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s415, s416)) | trans(s415, s416)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44794, 44793])).
% 9.70/7.19 tff(44796,plain,
% 9.70/7.19 (trans(s415, s416)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44795, 44792, 51])).
% 9.70/7.19 tff(44797,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s415, s416)) | (~always3(s415)) | always3(s416))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s415, s416)) | (~always3(s415)) | always3(s416))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44798,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s415, s416)) | (~always3(s415)) | always3(s416))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44799,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s415, s416)) | (~always3(s415)) | always3(s416)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44798, 44797])).
% 9.70/7.19 tff(44800,plain,
% 9.70/7.19 ((~always3(s415)) | always3(s416)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44799, 68, 44796])).
% 9.70/7.19 tff(44801,plain,
% 9.70/7.19 (~always3(s415)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44800, 44789])).
% 9.70/7.19 tff(44802,plain,
% 9.70/7.19 (succ(s414, s415) <=> succ(s414, s415)),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44803,axiom,(succ(s414, s415)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound415')).
% 9.70/7.19 tff(44804,plain,
% 9.70/7.19 (succ(s414, s415)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44803, 44802])).
% 9.70/7.19 tff(44805,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s414, s415)) | trans(s414, s415))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s414, s415)) | trans(s414, s415))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44806,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s414, s415)) | trans(s414, s415))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44807,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s414, s415)) | trans(s414, s415)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44806, 44805])).
% 9.70/7.19 tff(44808,plain,
% 9.70/7.19 (trans(s414, s415)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44807, 44804, 51])).
% 9.70/7.19 tff(44809,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s414, s415)) | (~always3(s414)) | always3(s415))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s414, s415)) | (~always3(s414)) | always3(s415))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44810,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s414, s415)) | (~always3(s414)) | always3(s415))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44811,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s414, s415)) | (~always3(s414)) | always3(s415)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44810, 44809])).
% 9.70/7.19 tff(44812,plain,
% 9.70/7.19 ((~always3(s414)) | always3(s415)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44811, 68, 44808])).
% 9.70/7.19 tff(44813,plain,
% 9.70/7.19 (~always3(s414)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44812, 44801])).
% 9.70/7.19 tff(44814,plain,
% 9.70/7.19 (succ(s413, s414) <=> succ(s413, s414)),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44815,axiom,(succ(s413, s414)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound414')).
% 9.70/7.19 tff(44816,plain,
% 9.70/7.19 (succ(s413, s414)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44815, 44814])).
% 9.70/7.19 tff(44817,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s413, s414)) | trans(s413, s414))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s413, s414)) | trans(s413, s414))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44818,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s413, s414)) | trans(s413, s414))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44819,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s413, s414)) | trans(s413, s414)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44818, 44817])).
% 9.70/7.19 tff(44820,plain,
% 9.70/7.19 (trans(s413, s414)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44819, 44816, 51])).
% 9.70/7.19 tff(44821,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s413, s414)) | (~always3(s413)) | always3(s414))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s413, s414)) | (~always3(s413)) | always3(s414))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44822,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s413, s414)) | (~always3(s413)) | always3(s414))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44823,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s413, s414)) | (~always3(s413)) | always3(s414)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44822, 44821])).
% 9.70/7.19 tff(44824,plain,
% 9.70/7.19 ((~always3(s413)) | always3(s414)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44823, 68, 44820])).
% 9.70/7.19 tff(44825,plain,
% 9.70/7.19 (~always3(s413)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44824, 44813])).
% 9.70/7.19 tff(44826,plain,
% 9.70/7.19 (succ(s412, s413) <=> succ(s412, s413)),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44827,axiom,(succ(s412, s413)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound413')).
% 9.70/7.19 tff(44828,plain,
% 9.70/7.19 (succ(s412, s413)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44827, 44826])).
% 9.70/7.19 tff(44829,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s412, s413)) | trans(s412, s413))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s412, s413)) | trans(s412, s413))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44830,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s412, s413)) | trans(s412, s413))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44831,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s412, s413)) | trans(s412, s413)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44830, 44829])).
% 9.70/7.19 tff(44832,plain,
% 9.70/7.19 (trans(s412, s413)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44831, 44828, 51])).
% 9.70/7.19 tff(44833,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s412, s413)) | (~always3(s412)) | always3(s413))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s412, s413)) | (~always3(s412)) | always3(s413))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44834,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s412, s413)) | (~always3(s412)) | always3(s413))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44835,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s412, s413)) | (~always3(s412)) | always3(s413)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44834, 44833])).
% 9.70/7.19 tff(44836,plain,
% 9.70/7.19 ((~always3(s412)) | always3(s413)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44835, 68, 44832])).
% 9.70/7.19 tff(44837,plain,
% 9.70/7.19 (~always3(s412)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44836, 44825])).
% 9.70/7.19 tff(44838,plain,
% 9.70/7.19 (succ(s411, s412) <=> succ(s411, s412)),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44839,axiom,(succ(s411, s412)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound412')).
% 9.70/7.19 tff(44840,plain,
% 9.70/7.19 (succ(s411, s412)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44839, 44838])).
% 9.70/7.19 tff(44841,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s411, s412)) | trans(s411, s412))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s411, s412)) | trans(s411, s412))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44842,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s411, s412)) | trans(s411, s412))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44843,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s411, s412)) | trans(s411, s412)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44842, 44841])).
% 9.70/7.19 tff(44844,plain,
% 9.70/7.19 (trans(s411, s412)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44843, 44840, 51])).
% 9.70/7.19 tff(44845,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s411, s412)) | (~always3(s411)) | always3(s412))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s411, s412)) | (~always3(s411)) | always3(s412))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44846,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s411, s412)) | (~always3(s411)) | always3(s412))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44847,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s411, s412)) | (~always3(s411)) | always3(s412)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44846, 44845])).
% 9.70/7.19 tff(44848,plain,
% 9.70/7.19 ((~always3(s411)) | always3(s412)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44847, 68, 44844])).
% 9.70/7.19 tff(44849,plain,
% 9.70/7.19 (~always3(s411)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44848, 44837])).
% 9.70/7.19 tff(44850,plain,
% 9.70/7.19 (succ(s410, s411) <=> succ(s410, s411)),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44851,axiom,(succ(s410, s411)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound411')).
% 9.70/7.19 tff(44852,plain,
% 9.70/7.19 (succ(s410, s411)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44851, 44850])).
% 9.70/7.19 tff(44853,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s410, s411)) | trans(s410, s411))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s410, s411)) | trans(s410, s411))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44854,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s410, s411)) | trans(s410, s411))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44855,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s410, s411)) | trans(s410, s411)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44854, 44853])).
% 9.70/7.19 tff(44856,plain,
% 9.70/7.19 (trans(s410, s411)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44855, 44852, 51])).
% 9.70/7.19 tff(44857,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s410, s411)) | (~always3(s410)) | always3(s411))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s410, s411)) | (~always3(s410)) | always3(s411))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44858,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s410, s411)) | (~always3(s410)) | always3(s411))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44859,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s410, s411)) | (~always3(s410)) | always3(s411)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44858, 44857])).
% 9.70/7.19 tff(44860,plain,
% 9.70/7.19 ((~always3(s410)) | always3(s411)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44859, 68, 44856])).
% 9.70/7.19 tff(44861,plain,
% 9.70/7.19 (~always3(s410)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44860, 44849])).
% 9.70/7.19 tff(44862,plain,
% 9.70/7.19 (succ(s409, s410) <=> succ(s409, s410)),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44863,axiom,(succ(s409, s410)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound410')).
% 9.70/7.19 tff(44864,plain,
% 9.70/7.19 (succ(s409, s410)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44863, 44862])).
% 9.70/7.19 tff(44865,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s409, s410)) | trans(s409, s410))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s409, s410)) | trans(s409, s410))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44866,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s409, s410)) | trans(s409, s410))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44867,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s409, s410)) | trans(s409, s410)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44866, 44865])).
% 9.70/7.19 tff(44868,plain,
% 9.70/7.19 (trans(s409, s410)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44867, 44864, 51])).
% 9.70/7.19 tff(44869,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s409, s410)) | (~always3(s409)) | always3(s410))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s409, s410)) | (~always3(s409)) | always3(s410))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44870,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s409, s410)) | (~always3(s409)) | always3(s410))),
% 9.70/7.19 inference(quant_inst,[status(thm)],[])).
% 9.70/7.19 tff(44871,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s409, s410)) | (~always3(s409)) | always3(s410)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44870, 44869])).
% 9.70/7.19 tff(44872,plain,
% 9.70/7.19 ((~always3(s409)) | always3(s410)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44871, 68, 44868])).
% 9.70/7.19 tff(44873,plain,
% 9.70/7.19 (~always3(s409)),
% 9.70/7.19 inference(unit_resolution,[status(thm)],[44872, 44861])).
% 9.70/7.19 tff(44874,plain,
% 9.70/7.19 (succ(s408, s409) <=> succ(s408, s409)),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44875,axiom,(succ(s408, s409)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound409')).
% 9.70/7.19 tff(44876,plain,
% 9.70/7.19 (succ(s408, s409)),
% 9.70/7.19 inference(modus_ponens,[status(thm)],[44875, 44874])).
% 9.70/7.19 tff(44877,plain,
% 9.70/7.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s408, s409)) | trans(s408, s409))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s408, s409)) | trans(s408, s409))),
% 9.70/7.19 inference(rewrite,[status(thm)],[])).
% 9.70/7.19 tff(44878,plain,
% 9.70/7.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s408, s409)) | trans(s408, s409))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(44879,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s408, s409)) | trans(s408, s409)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44878, 44877])).
% 9.70/7.20 tff(44880,plain,
% 9.70/7.20 (trans(s408, s409)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44879, 44876, 51])).
% 9.70/7.20 tff(44881,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s408, s409)) | (~always3(s408)) | always3(s409))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s408, s409)) | (~always3(s408)) | always3(s409))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44882,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s408, s409)) | (~always3(s408)) | always3(s409))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(44883,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s408, s409)) | (~always3(s408)) | always3(s409)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44882, 44881])).
% 9.70/7.20 tff(44884,plain,
% 9.70/7.20 ((~always3(s408)) | always3(s409)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44883, 68, 44880])).
% 9.70/7.20 tff(44885,plain,
% 9.70/7.20 (~always3(s408)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44884, 44873])).
% 9.70/7.20 tff(44886,plain,
% 9.70/7.20 (succ(s407, s408) <=> succ(s407, s408)),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44887,axiom,(succ(s407, s408)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound408')).
% 9.70/7.20 tff(44888,plain,
% 9.70/7.20 (succ(s407, s408)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44887, 44886])).
% 9.70/7.20 tff(44889,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s407, s408)) | trans(s407, s408))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s407, s408)) | trans(s407, s408))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44890,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s407, s408)) | trans(s407, s408))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(44891,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s407, s408)) | trans(s407, s408)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44890, 44889])).
% 9.70/7.20 tff(44892,plain,
% 9.70/7.20 (trans(s407, s408)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44891, 44888, 51])).
% 9.70/7.20 tff(44893,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s407, s408)) | (~always3(s407)) | always3(s408))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s407, s408)) | (~always3(s407)) | always3(s408))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44894,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s407, s408)) | (~always3(s407)) | always3(s408))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(44895,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s407, s408)) | (~always3(s407)) | always3(s408)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44894, 44893])).
% 9.70/7.20 tff(44896,plain,
% 9.70/7.20 ((~always3(s407)) | always3(s408)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44895, 68, 44892])).
% 9.70/7.20 tff(44897,plain,
% 9.70/7.20 (~always3(s407)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44896, 44885])).
% 9.70/7.20 tff(44898,plain,
% 9.70/7.20 (succ(s406, s407) <=> succ(s406, s407)),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44899,axiom,(succ(s406, s407)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound407')).
% 9.70/7.20 tff(44900,plain,
% 9.70/7.20 (succ(s406, s407)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44899, 44898])).
% 9.70/7.20 tff(44901,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s406, s407)) | trans(s406, s407))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s406, s407)) | trans(s406, s407))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44902,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s406, s407)) | trans(s406, s407))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(44903,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s406, s407)) | trans(s406, s407)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44902, 44901])).
% 9.70/7.20 tff(44904,plain,
% 9.70/7.20 (trans(s406, s407)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44903, 44900, 51])).
% 9.70/7.20 tff(44905,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s406, s407)) | (~always3(s406)) | always3(s407))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s406, s407)) | (~always3(s406)) | always3(s407))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44906,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s406, s407)) | (~always3(s406)) | always3(s407))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(44907,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s406, s407)) | (~always3(s406)) | always3(s407)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44906, 44905])).
% 9.70/7.20 tff(44908,plain,
% 9.70/7.20 ((~always3(s406)) | always3(s407)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44907, 68, 44904])).
% 9.70/7.20 tff(44909,plain,
% 9.70/7.20 (~always3(s406)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44908, 44897])).
% 9.70/7.20 tff(44910,plain,
% 9.70/7.20 (succ(s405, s406) <=> succ(s405, s406)),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44911,axiom,(succ(s405, s406)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound406')).
% 9.70/7.20 tff(44912,plain,
% 9.70/7.20 (succ(s405, s406)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44911, 44910])).
% 9.70/7.20 tff(44913,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s405, s406)) | trans(s405, s406))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s405, s406)) | trans(s405, s406))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44914,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s405, s406)) | trans(s405, s406))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(44915,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s405, s406)) | trans(s405, s406)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44914, 44913])).
% 9.70/7.20 tff(44916,plain,
% 9.70/7.20 (trans(s405, s406)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44915, 44912, 51])).
% 9.70/7.20 tff(44917,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s405, s406)) | (~always3(s405)) | always3(s406))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s405, s406)) | (~always3(s405)) | always3(s406))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44918,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s405, s406)) | (~always3(s405)) | always3(s406))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(44919,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s405, s406)) | (~always3(s405)) | always3(s406)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44918, 44917])).
% 9.70/7.20 tff(44920,plain,
% 9.70/7.20 ((~always3(s405)) | always3(s406)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44919, 68, 44916])).
% 9.70/7.20 tff(44921,plain,
% 9.70/7.20 (~always3(s405)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44920, 44909])).
% 9.70/7.20 tff(44922,plain,
% 9.70/7.20 (succ(s404, s405) <=> succ(s404, s405)),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44923,axiom,(succ(s404, s405)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound405')).
% 9.70/7.20 tff(44924,plain,
% 9.70/7.20 (succ(s404, s405)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44923, 44922])).
% 9.70/7.20 tff(44925,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s404, s405)) | trans(s404, s405))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s404, s405)) | trans(s404, s405))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44926,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s404, s405)) | trans(s404, s405))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(44927,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s404, s405)) | trans(s404, s405)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44926, 44925])).
% 9.70/7.20 tff(44928,plain,
% 9.70/7.20 (trans(s404, s405)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44927, 44924, 51])).
% 9.70/7.20 tff(44929,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s404, s405)) | (~always3(s404)) | always3(s405))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s404, s405)) | (~always3(s404)) | always3(s405))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44930,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s404, s405)) | (~always3(s404)) | always3(s405))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(44931,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s404, s405)) | (~always3(s404)) | always3(s405)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44930, 44929])).
% 9.70/7.20 tff(44932,plain,
% 9.70/7.20 ((~always3(s404)) | always3(s405)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44931, 68, 44928])).
% 9.70/7.20 tff(44933,plain,
% 9.70/7.20 (~always3(s404)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44932, 44921])).
% 9.70/7.20 tff(44934,plain,
% 9.70/7.20 (succ(s403, s404) <=> succ(s403, s404)),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44935,axiom,(succ(s403, s404)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound404')).
% 9.70/7.20 tff(44936,plain,
% 9.70/7.20 (succ(s403, s404)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44935, 44934])).
% 9.70/7.20 tff(44937,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s403, s404)) | trans(s403, s404))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s403, s404)) | trans(s403, s404))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44938,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s403, s404)) | trans(s403, s404))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(44939,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s403, s404)) | trans(s403, s404)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44938, 44937])).
% 9.70/7.20 tff(44940,plain,
% 9.70/7.20 (trans(s403, s404)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44939, 44936, 51])).
% 9.70/7.20 tff(44941,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s403, s404)) | (~always3(s403)) | always3(s404))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s403, s404)) | (~always3(s403)) | always3(s404))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44942,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s403, s404)) | (~always3(s403)) | always3(s404))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(44943,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s403, s404)) | (~always3(s403)) | always3(s404)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44942, 44941])).
% 9.70/7.20 tff(44944,plain,
% 9.70/7.20 ((~always3(s403)) | always3(s404)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44943, 68, 44940])).
% 9.70/7.20 tff(44945,plain,
% 9.70/7.20 (~always3(s403)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44944, 44933])).
% 9.70/7.20 tff(44946,plain,
% 9.70/7.20 (succ(s402, s403) <=> succ(s402, s403)),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44947,axiom,(succ(s402, s403)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound403')).
% 9.70/7.20 tff(44948,plain,
% 9.70/7.20 (succ(s402, s403)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44947, 44946])).
% 9.70/7.20 tff(44949,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s402, s403)) | trans(s402, s403))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s402, s403)) | trans(s402, s403))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44950,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s402, s403)) | trans(s402, s403))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(44951,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s402, s403)) | trans(s402, s403)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44950, 44949])).
% 9.70/7.20 tff(44952,plain,
% 9.70/7.20 (trans(s402, s403)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44951, 44948, 51])).
% 9.70/7.20 tff(44953,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s402, s403)) | (~always3(s402)) | always3(s403))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s402, s403)) | (~always3(s402)) | always3(s403))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44954,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s402, s403)) | (~always3(s402)) | always3(s403))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(44955,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s402, s403)) | (~always3(s402)) | always3(s403)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44954, 44953])).
% 9.70/7.20 tff(44956,plain,
% 9.70/7.20 ((~always3(s402)) | always3(s403)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44955, 68, 44952])).
% 9.70/7.20 tff(44957,plain,
% 9.70/7.20 (~always3(s402)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44956, 44945])).
% 9.70/7.20 tff(44958,plain,
% 9.70/7.20 (succ(s401, s402) <=> succ(s401, s402)),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44959,axiom,(succ(s401, s402)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound402')).
% 9.70/7.20 tff(44960,plain,
% 9.70/7.20 (succ(s401, s402)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44959, 44958])).
% 9.70/7.20 tff(44961,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s401, s402)) | trans(s401, s402))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s401, s402)) | trans(s401, s402))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44962,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s401, s402)) | trans(s401, s402))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(44963,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s401, s402)) | trans(s401, s402)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44962, 44961])).
% 9.70/7.20 tff(44964,plain,
% 9.70/7.20 (trans(s401, s402)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44963, 44960, 51])).
% 9.70/7.20 tff(44965,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s401, s402)) | (~always3(s401)) | always3(s402))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s401, s402)) | (~always3(s401)) | always3(s402))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44966,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s401, s402)) | (~always3(s401)) | always3(s402))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(44967,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s401, s402)) | (~always3(s401)) | always3(s402)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44966, 44965])).
% 9.70/7.20 tff(44968,plain,
% 9.70/7.20 ((~always3(s401)) | always3(s402)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44967, 68, 44964])).
% 9.70/7.20 tff(44969,plain,
% 9.70/7.20 (~always3(s401)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44968, 44957])).
% 9.70/7.20 tff(44970,plain,
% 9.70/7.20 (succ(s400, s401) <=> succ(s400, s401)),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44971,axiom,(succ(s400, s401)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound401')).
% 9.70/7.20 tff(44972,plain,
% 9.70/7.20 (succ(s400, s401)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44971, 44970])).
% 9.70/7.20 tff(44973,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s400, s401)) | trans(s400, s401))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s400, s401)) | trans(s400, s401))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44974,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s400, s401)) | trans(s400, s401))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(44975,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s400, s401)) | trans(s400, s401)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44974, 44973])).
% 9.70/7.20 tff(44976,plain,
% 9.70/7.20 (trans(s400, s401)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44975, 44972, 51])).
% 9.70/7.20 tff(44977,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s400, s401)) | (~always3(s400)) | always3(s401))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s400, s401)) | (~always3(s400)) | always3(s401))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44978,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s400, s401)) | (~always3(s400)) | always3(s401))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(44979,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s400, s401)) | (~always3(s400)) | always3(s401)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44978, 44977])).
% 9.70/7.20 tff(44980,plain,
% 9.70/7.20 ((~always3(s400)) | always3(s401)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44979, 68, 44976])).
% 9.70/7.20 tff(44981,plain,
% 9.70/7.20 (~always3(s400)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44980, 44969])).
% 9.70/7.20 tff(44982,plain,
% 9.70/7.20 (succ(s399, s400) <=> succ(s399, s400)),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44983,axiom,(succ(s399, s400)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound400')).
% 9.70/7.20 tff(44984,plain,
% 9.70/7.20 (succ(s399, s400)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44983, 44982])).
% 9.70/7.20 tff(44985,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s399, s400)) | trans(s399, s400))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s399, s400)) | trans(s399, s400))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44986,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s399, s400)) | trans(s399, s400))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(44987,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s399, s400)) | trans(s399, s400)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44986, 44985])).
% 9.70/7.20 tff(44988,plain,
% 9.70/7.20 (trans(s399, s400)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44987, 44984, 51])).
% 9.70/7.20 tff(44989,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s399, s400)) | (~always3(s399)) | always3(s400))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s399, s400)) | (~always3(s399)) | always3(s400))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44990,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s399, s400)) | (~always3(s399)) | always3(s400))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(44991,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s399, s400)) | (~always3(s399)) | always3(s400)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44990, 44989])).
% 9.70/7.20 tff(44992,plain,
% 9.70/7.20 ((~always3(s399)) | always3(s400)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44991, 68, 44988])).
% 9.70/7.20 tff(44993,plain,
% 9.70/7.20 (~always3(s399)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44992, 44981])).
% 9.70/7.20 tff(44994,plain,
% 9.70/7.20 (succ(s398, s399) <=> succ(s398, s399)),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44995,axiom,(succ(s398, s399)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound399')).
% 9.70/7.20 tff(44996,plain,
% 9.70/7.20 (succ(s398, s399)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44995, 44994])).
% 9.70/7.20 tff(44997,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s398, s399)) | trans(s398, s399))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s398, s399)) | trans(s398, s399))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(44998,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s398, s399)) | trans(s398, s399))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(44999,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s398, s399)) | trans(s398, s399)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[44998, 44997])).
% 9.70/7.20 tff(45000,plain,
% 9.70/7.20 (trans(s398, s399)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[44999, 44996, 51])).
% 9.70/7.20 tff(45001,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s398, s399)) | (~always3(s398)) | always3(s399))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s398, s399)) | (~always3(s398)) | always3(s399))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(45002,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s398, s399)) | (~always3(s398)) | always3(s399))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(45003,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s398, s399)) | (~always3(s398)) | always3(s399)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[45002, 45001])).
% 9.70/7.20 tff(45004,plain,
% 9.70/7.20 ((~always3(s398)) | always3(s399)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[45003, 68, 45000])).
% 9.70/7.20 tff(45005,plain,
% 9.70/7.20 (~always3(s398)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[45004, 44993])).
% 9.70/7.20 tff(45006,plain,
% 9.70/7.20 (succ(s397, s398) <=> succ(s397, s398)),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(45007,axiom,(succ(s397, s398)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound398')).
% 9.70/7.20 tff(45008,plain,
% 9.70/7.20 (succ(s397, s398)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[45007, 45006])).
% 9.70/7.20 tff(45009,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s397, s398)) | trans(s397, s398))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s397, s398)) | trans(s397, s398))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(45010,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s397, s398)) | trans(s397, s398))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(45011,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s397, s398)) | trans(s397, s398)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[45010, 45009])).
% 9.70/7.20 tff(45012,plain,
% 9.70/7.20 (trans(s397, s398)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[45011, 45008, 51])).
% 9.70/7.20 tff(45013,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s397, s398)) | (~always3(s397)) | always3(s398))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s397, s398)) | (~always3(s397)) | always3(s398))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(45014,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s397, s398)) | (~always3(s397)) | always3(s398))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(45015,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s397, s398)) | (~always3(s397)) | always3(s398)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[45014, 45013])).
% 9.70/7.20 tff(45016,plain,
% 9.70/7.20 ((~always3(s397)) | always3(s398)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[45015, 68, 45012])).
% 9.70/7.20 tff(45017,plain,
% 9.70/7.20 (~always3(s397)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[45016, 45005])).
% 9.70/7.20 tff(45018,plain,
% 9.70/7.20 (succ(s396, s397) <=> succ(s396, s397)),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(45019,axiom,(succ(s396, s397)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound397')).
% 9.70/7.20 tff(45020,plain,
% 9.70/7.20 (succ(s396, s397)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[45019, 45018])).
% 9.70/7.20 tff(45021,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s396, s397)) | trans(s396, s397))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s396, s397)) | trans(s396, s397))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(45022,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s396, s397)) | trans(s396, s397))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(45023,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s396, s397)) | trans(s396, s397)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[45022, 45021])).
% 9.70/7.20 tff(45024,plain,
% 9.70/7.20 (trans(s396, s397)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[45023, 45020, 51])).
% 9.70/7.20 tff(45025,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s396, s397)) | (~always3(s396)) | always3(s397))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s396, s397)) | (~always3(s396)) | always3(s397))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(45026,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s396, s397)) | (~always3(s396)) | always3(s397))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(45027,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s396, s397)) | (~always3(s396)) | always3(s397)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[45026, 45025])).
% 9.70/7.20 tff(45028,plain,
% 9.70/7.20 ((~always3(s396)) | always3(s397)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[45027, 68, 45024])).
% 9.70/7.20 tff(45029,plain,
% 9.70/7.20 (~always3(s396)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[45028, 45017])).
% 9.70/7.20 tff(45030,plain,
% 9.70/7.20 (succ(s395, s396) <=> succ(s395, s396)),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(45031,axiom,(succ(s395, s396)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound396')).
% 9.70/7.20 tff(45032,plain,
% 9.70/7.20 (succ(s395, s396)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[45031, 45030])).
% 9.70/7.20 tff(45033,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s395, s396)) | trans(s395, s396))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s395, s396)) | trans(s395, s396))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(45034,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s395, s396)) | trans(s395, s396))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(45035,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s395, s396)) | trans(s395, s396)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[45034, 45033])).
% 9.70/7.20 tff(45036,plain,
% 9.70/7.20 (trans(s395, s396)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[45035, 45032, 51])).
% 9.70/7.20 tff(45037,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s395, s396)) | (~always3(s395)) | always3(s396))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s395, s396)) | (~always3(s395)) | always3(s396))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(45038,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s395, s396)) | (~always3(s395)) | always3(s396))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(45039,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s395, s396)) | (~always3(s395)) | always3(s396)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[45038, 45037])).
% 9.70/7.20 tff(45040,plain,
% 9.70/7.20 ((~always3(s395)) | always3(s396)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[45039, 68, 45036])).
% 9.70/7.20 tff(45041,plain,
% 9.70/7.20 (~always3(s395)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[45040, 45029])).
% 9.70/7.20 tff(45042,plain,
% 9.70/7.20 (succ(s394, s395) <=> succ(s394, s395)),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(45043,axiom,(succ(s394, s395)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound395')).
% 9.70/7.20 tff(45044,plain,
% 9.70/7.20 (succ(s394, s395)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[45043, 45042])).
% 9.70/7.20 tff(45045,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s394, s395)) | trans(s394, s395))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s394, s395)) | trans(s394, s395))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(45046,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s394, s395)) | trans(s394, s395))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(45047,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s394, s395)) | trans(s394, s395)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[45046, 45045])).
% 9.70/7.20 tff(45048,plain,
% 9.70/7.20 (trans(s394, s395)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[45047, 45044, 51])).
% 9.70/7.20 tff(45049,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s394, s395)) | (~always3(s394)) | always3(s395))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s394, s395)) | (~always3(s394)) | always3(s395))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(45050,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s394, s395)) | (~always3(s394)) | always3(s395))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(45051,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s394, s395)) | (~always3(s394)) | always3(s395)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[45050, 45049])).
% 9.70/7.20 tff(45052,plain,
% 9.70/7.20 ((~always3(s394)) | always3(s395)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[45051, 68, 45048])).
% 9.70/7.20 tff(45053,plain,
% 9.70/7.20 (~always3(s394)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[45052, 45041])).
% 9.70/7.20 tff(45054,plain,
% 9.70/7.20 (succ(s393, s394) <=> succ(s393, s394)),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(45055,axiom,(succ(s393, s394)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound394')).
% 9.70/7.20 tff(45056,plain,
% 9.70/7.20 (succ(s393, s394)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[45055, 45054])).
% 9.70/7.20 tff(45057,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s393, s394)) | trans(s393, s394))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s393, s394)) | trans(s393, s394))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(45058,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s393, s394)) | trans(s393, s394))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(45059,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s393, s394)) | trans(s393, s394)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[45058, 45057])).
% 9.70/7.20 tff(45060,plain,
% 9.70/7.20 (trans(s393, s394)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[45059, 45056, 51])).
% 9.70/7.20 tff(45061,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s393, s394)) | (~always3(s393)) | always3(s394))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s393, s394)) | (~always3(s393)) | always3(s394))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(45062,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s393, s394)) | (~always3(s393)) | always3(s394))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(45063,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s393, s394)) | (~always3(s393)) | always3(s394)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[45062, 45061])).
% 9.70/7.20 tff(45064,plain,
% 9.70/7.20 ((~always3(s393)) | always3(s394)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[45063, 68, 45060])).
% 9.70/7.20 tff(45065,plain,
% 9.70/7.20 (~always3(s393)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[45064, 45053])).
% 9.70/7.20 tff(45066,plain,
% 9.70/7.20 (succ(s392, s393) <=> succ(s392, s393)),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(45067,axiom,(succ(s392, s393)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound393')).
% 9.70/7.20 tff(45068,plain,
% 9.70/7.20 (succ(s392, s393)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[45067, 45066])).
% 9.70/7.20 tff(45069,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s392, s393)) | trans(s392, s393))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s392, s393)) | trans(s392, s393))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(45070,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s392, s393)) | trans(s392, s393))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(45071,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s392, s393)) | trans(s392, s393)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[45070, 45069])).
% 9.70/7.20 tff(45072,plain,
% 9.70/7.20 (trans(s392, s393)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[45071, 45068, 51])).
% 9.70/7.20 tff(45073,plain,
% 9.70/7.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s392, s393)) | (~always3(s392)) | always3(s393))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s392, s393)) | (~always3(s392)) | always3(s393))),
% 9.70/7.20 inference(rewrite,[status(thm)],[])).
% 9.70/7.20 tff(45074,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s392, s393)) | (~always3(s392)) | always3(s393))),
% 9.70/7.20 inference(quant_inst,[status(thm)],[])).
% 9.70/7.20 tff(45075,plain,
% 9.70/7.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s392, s393)) | (~always3(s392)) | always3(s393)),
% 9.70/7.20 inference(modus_ponens,[status(thm)],[45074, 45073])).
% 9.70/7.20 tff(45076,plain,
% 9.70/7.20 ((~always3(s392)) | always3(s393)),
% 9.70/7.20 inference(unit_resolution,[status(thm)],[45075, 68, 45072])).
% 9.70/7.21 tff(45077,plain,
% 9.70/7.21 (~always3(s392)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45076, 45065])).
% 9.70/7.21 tff(45078,plain,
% 9.70/7.21 (succ(s391, s392) <=> succ(s391, s392)),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45079,axiom,(succ(s391, s392)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound392')).
% 9.70/7.21 tff(45080,plain,
% 9.70/7.21 (succ(s391, s392)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45079, 45078])).
% 9.70/7.21 tff(45081,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s391, s392)) | trans(s391, s392))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s391, s392)) | trans(s391, s392))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45082,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s391, s392)) | trans(s391, s392))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45083,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s391, s392)) | trans(s391, s392)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45082, 45081])).
% 9.70/7.21 tff(45084,plain,
% 9.70/7.21 (trans(s391, s392)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45083, 45080, 51])).
% 9.70/7.21 tff(45085,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s391, s392)) | (~always3(s391)) | always3(s392))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s391, s392)) | (~always3(s391)) | always3(s392))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45086,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s391, s392)) | (~always3(s391)) | always3(s392))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45087,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s391, s392)) | (~always3(s391)) | always3(s392)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45086, 45085])).
% 9.70/7.21 tff(45088,plain,
% 9.70/7.21 ((~always3(s391)) | always3(s392)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45087, 68, 45084])).
% 9.70/7.21 tff(45089,plain,
% 9.70/7.21 (~always3(s391)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45088, 45077])).
% 9.70/7.21 tff(45090,plain,
% 9.70/7.21 (succ(s390, s391) <=> succ(s390, s391)),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45091,axiom,(succ(s390, s391)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound391')).
% 9.70/7.21 tff(45092,plain,
% 9.70/7.21 (succ(s390, s391)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45091, 45090])).
% 9.70/7.21 tff(45093,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s390, s391)) | trans(s390, s391))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s390, s391)) | trans(s390, s391))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45094,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s390, s391)) | trans(s390, s391))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45095,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s390, s391)) | trans(s390, s391)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45094, 45093])).
% 9.70/7.21 tff(45096,plain,
% 9.70/7.21 (trans(s390, s391)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45095, 45092, 51])).
% 9.70/7.21 tff(45097,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s390, s391)) | (~always3(s390)) | always3(s391))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s390, s391)) | (~always3(s390)) | always3(s391))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45098,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s390, s391)) | (~always3(s390)) | always3(s391))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45099,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s390, s391)) | (~always3(s390)) | always3(s391)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45098, 45097])).
% 9.70/7.21 tff(45100,plain,
% 9.70/7.21 ((~always3(s390)) | always3(s391)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45099, 68, 45096])).
% 9.70/7.21 tff(45101,plain,
% 9.70/7.21 (~always3(s390)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45100, 45089])).
% 9.70/7.21 tff(45102,plain,
% 9.70/7.21 (succ(s389, s390) <=> succ(s389, s390)),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45103,axiom,(succ(s389, s390)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound390')).
% 9.70/7.21 tff(45104,plain,
% 9.70/7.21 (succ(s389, s390)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45103, 45102])).
% 9.70/7.21 tff(45105,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s389, s390)) | trans(s389, s390))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s389, s390)) | trans(s389, s390))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45106,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s389, s390)) | trans(s389, s390))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45107,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s389, s390)) | trans(s389, s390)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45106, 45105])).
% 9.70/7.21 tff(45108,plain,
% 9.70/7.21 (trans(s389, s390)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45107, 45104, 51])).
% 9.70/7.21 tff(45109,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s389, s390)) | (~always3(s389)) | always3(s390))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s389, s390)) | (~always3(s389)) | always3(s390))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45110,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s389, s390)) | (~always3(s389)) | always3(s390))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45111,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s389, s390)) | (~always3(s389)) | always3(s390)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45110, 45109])).
% 9.70/7.21 tff(45112,plain,
% 9.70/7.21 ((~always3(s389)) | always3(s390)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45111, 68, 45108])).
% 9.70/7.21 tff(45113,plain,
% 9.70/7.21 (~always3(s389)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45112, 45101])).
% 9.70/7.21 tff(45114,plain,
% 9.70/7.21 (succ(s388, s389) <=> succ(s388, s389)),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45115,axiom,(succ(s388, s389)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound389')).
% 9.70/7.21 tff(45116,plain,
% 9.70/7.21 (succ(s388, s389)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45115, 45114])).
% 9.70/7.21 tff(45117,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s388, s389)) | trans(s388, s389))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s388, s389)) | trans(s388, s389))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45118,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s388, s389)) | trans(s388, s389))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45119,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s388, s389)) | trans(s388, s389)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45118, 45117])).
% 9.70/7.21 tff(45120,plain,
% 9.70/7.21 (trans(s388, s389)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45119, 45116, 51])).
% 9.70/7.21 tff(45121,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s388, s389)) | (~always3(s388)) | always3(s389))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s388, s389)) | (~always3(s388)) | always3(s389))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45122,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s388, s389)) | (~always3(s388)) | always3(s389))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45123,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s388, s389)) | (~always3(s388)) | always3(s389)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45122, 45121])).
% 9.70/7.21 tff(45124,plain,
% 9.70/7.21 ((~always3(s388)) | always3(s389)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45123, 68, 45120])).
% 9.70/7.21 tff(45125,plain,
% 9.70/7.21 (~always3(s388)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45124, 45113])).
% 9.70/7.21 tff(45126,plain,
% 9.70/7.21 (succ(s387, s388) <=> succ(s387, s388)),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45127,axiom,(succ(s387, s388)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound388')).
% 9.70/7.21 tff(45128,plain,
% 9.70/7.21 (succ(s387, s388)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45127, 45126])).
% 9.70/7.21 tff(45129,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s387, s388)) | trans(s387, s388))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s387, s388)) | trans(s387, s388))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45130,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s387, s388)) | trans(s387, s388))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45131,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s387, s388)) | trans(s387, s388)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45130, 45129])).
% 9.70/7.21 tff(45132,plain,
% 9.70/7.21 (trans(s387, s388)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45131, 45128, 51])).
% 9.70/7.21 tff(45133,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s387, s388)) | (~always3(s387)) | always3(s388))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s387, s388)) | (~always3(s387)) | always3(s388))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45134,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s387, s388)) | (~always3(s387)) | always3(s388))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45135,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s387, s388)) | (~always3(s387)) | always3(s388)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45134, 45133])).
% 9.70/7.21 tff(45136,plain,
% 9.70/7.21 ((~always3(s387)) | always3(s388)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45135, 68, 45132])).
% 9.70/7.21 tff(45137,plain,
% 9.70/7.21 (~always3(s387)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45136, 45125])).
% 9.70/7.21 tff(45138,plain,
% 9.70/7.21 (succ(s386, s387) <=> succ(s386, s387)),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45139,axiom,(succ(s386, s387)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound387')).
% 9.70/7.21 tff(45140,plain,
% 9.70/7.21 (succ(s386, s387)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45139, 45138])).
% 9.70/7.21 tff(45141,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s386, s387)) | trans(s386, s387))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s386, s387)) | trans(s386, s387))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45142,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s386, s387)) | trans(s386, s387))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45143,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s386, s387)) | trans(s386, s387)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45142, 45141])).
% 9.70/7.21 tff(45144,plain,
% 9.70/7.21 (trans(s386, s387)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45143, 45140, 51])).
% 9.70/7.21 tff(45145,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s386, s387)) | (~always3(s386)) | always3(s387))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s386, s387)) | (~always3(s386)) | always3(s387))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45146,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s386, s387)) | (~always3(s386)) | always3(s387))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45147,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s386, s387)) | (~always3(s386)) | always3(s387)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45146, 45145])).
% 9.70/7.21 tff(45148,plain,
% 9.70/7.21 ((~always3(s386)) | always3(s387)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45147, 68, 45144])).
% 9.70/7.21 tff(45149,plain,
% 9.70/7.21 (~always3(s386)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45148, 45137])).
% 9.70/7.21 tff(45150,plain,
% 9.70/7.21 (succ(s385, s386) <=> succ(s385, s386)),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45151,axiom,(succ(s385, s386)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound386')).
% 9.70/7.21 tff(45152,plain,
% 9.70/7.21 (succ(s385, s386)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45151, 45150])).
% 9.70/7.21 tff(45153,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s385, s386)) | trans(s385, s386))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s385, s386)) | trans(s385, s386))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45154,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s385, s386)) | trans(s385, s386))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45155,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s385, s386)) | trans(s385, s386)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45154, 45153])).
% 9.70/7.21 tff(45156,plain,
% 9.70/7.21 (trans(s385, s386)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45155, 45152, 51])).
% 9.70/7.21 tff(45157,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s385, s386)) | (~always3(s385)) | always3(s386))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s385, s386)) | (~always3(s385)) | always3(s386))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45158,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s385, s386)) | (~always3(s385)) | always3(s386))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45159,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s385, s386)) | (~always3(s385)) | always3(s386)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45158, 45157])).
% 9.70/7.21 tff(45160,plain,
% 9.70/7.21 ((~always3(s385)) | always3(s386)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45159, 68, 45156])).
% 9.70/7.21 tff(45161,plain,
% 9.70/7.21 (~always3(s385)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45160, 45149])).
% 9.70/7.21 tff(45162,plain,
% 9.70/7.21 (succ(s384, s385) <=> succ(s384, s385)),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45163,axiom,(succ(s384, s385)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound385')).
% 9.70/7.21 tff(45164,plain,
% 9.70/7.21 (succ(s384, s385)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45163, 45162])).
% 9.70/7.21 tff(45165,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s384, s385)) | trans(s384, s385))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s384, s385)) | trans(s384, s385))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45166,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s384, s385)) | trans(s384, s385))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45167,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s384, s385)) | trans(s384, s385)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45166, 45165])).
% 9.70/7.21 tff(45168,plain,
% 9.70/7.21 (trans(s384, s385)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45167, 45164, 51])).
% 9.70/7.21 tff(45169,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s384, s385)) | (~always3(s384)) | always3(s385))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s384, s385)) | (~always3(s384)) | always3(s385))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45170,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s384, s385)) | (~always3(s384)) | always3(s385))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45171,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s384, s385)) | (~always3(s384)) | always3(s385)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45170, 45169])).
% 9.70/7.21 tff(45172,plain,
% 9.70/7.21 ((~always3(s384)) | always3(s385)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45171, 68, 45168])).
% 9.70/7.21 tff(45173,plain,
% 9.70/7.21 (~always3(s384)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45172, 45161])).
% 9.70/7.21 tff(45174,plain,
% 9.70/7.21 (succ(s383, s384) <=> succ(s383, s384)),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45175,axiom,(succ(s383, s384)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound384')).
% 9.70/7.21 tff(45176,plain,
% 9.70/7.21 (succ(s383, s384)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45175, 45174])).
% 9.70/7.21 tff(45177,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s383, s384)) | trans(s383, s384))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s383, s384)) | trans(s383, s384))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45178,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s383, s384)) | trans(s383, s384))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45179,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s383, s384)) | trans(s383, s384)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45178, 45177])).
% 9.70/7.21 tff(45180,plain,
% 9.70/7.21 (trans(s383, s384)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45179, 45176, 51])).
% 9.70/7.21 tff(45181,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s383, s384)) | (~always3(s383)) | always3(s384))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s383, s384)) | (~always3(s383)) | always3(s384))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45182,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s383, s384)) | (~always3(s383)) | always3(s384))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45183,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s383, s384)) | (~always3(s383)) | always3(s384)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45182, 45181])).
% 9.70/7.21 tff(45184,plain,
% 9.70/7.21 ((~always3(s383)) | always3(s384)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45183, 68, 45180])).
% 9.70/7.21 tff(45185,plain,
% 9.70/7.21 (~always3(s383)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45184, 45173])).
% 9.70/7.21 tff(45186,plain,
% 9.70/7.21 (succ(s382, s383) <=> succ(s382, s383)),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45187,axiom,(succ(s382, s383)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound383')).
% 9.70/7.21 tff(45188,plain,
% 9.70/7.21 (succ(s382, s383)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45187, 45186])).
% 9.70/7.21 tff(45189,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s382, s383)) | trans(s382, s383))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s382, s383)) | trans(s382, s383))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45190,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s382, s383)) | trans(s382, s383))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45191,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s382, s383)) | trans(s382, s383)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45190, 45189])).
% 9.70/7.21 tff(45192,plain,
% 9.70/7.21 (trans(s382, s383)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45191, 45188, 51])).
% 9.70/7.21 tff(45193,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s382, s383)) | (~always3(s382)) | always3(s383))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s382, s383)) | (~always3(s382)) | always3(s383))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45194,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s382, s383)) | (~always3(s382)) | always3(s383))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45195,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s382, s383)) | (~always3(s382)) | always3(s383)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45194, 45193])).
% 9.70/7.21 tff(45196,plain,
% 9.70/7.21 ((~always3(s382)) | always3(s383)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45195, 68, 45192])).
% 9.70/7.21 tff(45197,plain,
% 9.70/7.21 (~always3(s382)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45196, 45185])).
% 9.70/7.21 tff(45198,plain,
% 9.70/7.21 (succ(s381, s382) <=> succ(s381, s382)),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45199,axiom,(succ(s381, s382)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound382')).
% 9.70/7.21 tff(45200,plain,
% 9.70/7.21 (succ(s381, s382)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45199, 45198])).
% 9.70/7.21 tff(45201,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s381, s382)) | trans(s381, s382))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s381, s382)) | trans(s381, s382))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45202,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s381, s382)) | trans(s381, s382))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45203,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s381, s382)) | trans(s381, s382)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45202, 45201])).
% 9.70/7.21 tff(45204,plain,
% 9.70/7.21 (trans(s381, s382)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45203, 45200, 51])).
% 9.70/7.21 tff(45205,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s381, s382)) | (~always3(s381)) | always3(s382))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s381, s382)) | (~always3(s381)) | always3(s382))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45206,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s381, s382)) | (~always3(s381)) | always3(s382))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45207,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s381, s382)) | (~always3(s381)) | always3(s382)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45206, 45205])).
% 9.70/7.21 tff(45208,plain,
% 9.70/7.21 ((~always3(s381)) | always3(s382)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45207, 68, 45204])).
% 9.70/7.21 tff(45209,plain,
% 9.70/7.21 (~always3(s381)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45208, 45197])).
% 9.70/7.21 tff(45210,plain,
% 9.70/7.21 (succ(s380, s381) <=> succ(s380, s381)),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45211,axiom,(succ(s380, s381)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound381')).
% 9.70/7.21 tff(45212,plain,
% 9.70/7.21 (succ(s380, s381)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45211, 45210])).
% 9.70/7.21 tff(45213,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s380, s381)) | trans(s380, s381))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s380, s381)) | trans(s380, s381))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45214,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s380, s381)) | trans(s380, s381))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45215,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s380, s381)) | trans(s380, s381)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45214, 45213])).
% 9.70/7.21 tff(45216,plain,
% 9.70/7.21 (trans(s380, s381)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45215, 45212, 51])).
% 9.70/7.21 tff(45217,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s380, s381)) | (~always3(s380)) | always3(s381))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s380, s381)) | (~always3(s380)) | always3(s381))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45218,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s380, s381)) | (~always3(s380)) | always3(s381))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45219,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s380, s381)) | (~always3(s380)) | always3(s381)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45218, 45217])).
% 9.70/7.21 tff(45220,plain,
% 9.70/7.21 ((~always3(s380)) | always3(s381)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45219, 68, 45216])).
% 9.70/7.21 tff(45221,plain,
% 9.70/7.21 (~always3(s380)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45220, 45209])).
% 9.70/7.21 tff(45222,plain,
% 9.70/7.21 (succ(s379, s380) <=> succ(s379, s380)),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45223,axiom,(succ(s379, s380)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound380')).
% 9.70/7.21 tff(45224,plain,
% 9.70/7.21 (succ(s379, s380)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45223, 45222])).
% 9.70/7.21 tff(45225,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s379, s380)) | trans(s379, s380))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s379, s380)) | trans(s379, s380))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45226,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s379, s380)) | trans(s379, s380))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45227,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s379, s380)) | trans(s379, s380)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45226, 45225])).
% 9.70/7.21 tff(45228,plain,
% 9.70/7.21 (trans(s379, s380)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45227, 45224, 51])).
% 9.70/7.21 tff(45229,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s379, s380)) | (~always3(s379)) | always3(s380))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s379, s380)) | (~always3(s379)) | always3(s380))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45230,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s379, s380)) | (~always3(s379)) | always3(s380))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45231,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s379, s380)) | (~always3(s379)) | always3(s380)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45230, 45229])).
% 9.70/7.21 tff(45232,plain,
% 9.70/7.21 ((~always3(s379)) | always3(s380)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45231, 68, 45228])).
% 9.70/7.21 tff(45233,plain,
% 9.70/7.21 (~always3(s379)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45232, 45221])).
% 9.70/7.21 tff(45234,plain,
% 9.70/7.21 (succ(s378, s379) <=> succ(s378, s379)),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45235,axiom,(succ(s378, s379)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound379')).
% 9.70/7.21 tff(45236,plain,
% 9.70/7.21 (succ(s378, s379)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45235, 45234])).
% 9.70/7.21 tff(45237,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s378, s379)) | trans(s378, s379))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s378, s379)) | trans(s378, s379))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45238,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s378, s379)) | trans(s378, s379))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45239,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s378, s379)) | trans(s378, s379)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45238, 45237])).
% 9.70/7.21 tff(45240,plain,
% 9.70/7.21 (trans(s378, s379)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45239, 45236, 51])).
% 9.70/7.21 tff(45241,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s378, s379)) | (~always3(s378)) | always3(s379))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s378, s379)) | (~always3(s378)) | always3(s379))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45242,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s378, s379)) | (~always3(s378)) | always3(s379))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45243,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s378, s379)) | (~always3(s378)) | always3(s379)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45242, 45241])).
% 9.70/7.21 tff(45244,plain,
% 9.70/7.21 ((~always3(s378)) | always3(s379)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45243, 68, 45240])).
% 9.70/7.21 tff(45245,plain,
% 9.70/7.21 (~always3(s378)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45244, 45233])).
% 9.70/7.21 tff(45246,plain,
% 9.70/7.21 (succ(s377, s378) <=> succ(s377, s378)),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45247,axiom,(succ(s377, s378)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound378')).
% 9.70/7.21 tff(45248,plain,
% 9.70/7.21 (succ(s377, s378)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45247, 45246])).
% 9.70/7.21 tff(45249,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s377, s378)) | trans(s377, s378))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s377, s378)) | trans(s377, s378))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45250,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s377, s378)) | trans(s377, s378))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45251,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s377, s378)) | trans(s377, s378)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45250, 45249])).
% 9.70/7.21 tff(45252,plain,
% 9.70/7.21 (trans(s377, s378)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45251, 45248, 51])).
% 9.70/7.21 tff(45253,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s377, s378)) | (~always3(s377)) | always3(s378))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s377, s378)) | (~always3(s377)) | always3(s378))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45254,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s377, s378)) | (~always3(s377)) | always3(s378))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45255,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s377, s378)) | (~always3(s377)) | always3(s378)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45254, 45253])).
% 9.70/7.21 tff(45256,plain,
% 9.70/7.21 ((~always3(s377)) | always3(s378)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45255, 68, 45252])).
% 9.70/7.21 tff(45257,plain,
% 9.70/7.21 (~always3(s377)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45256, 45245])).
% 9.70/7.21 tff(45258,plain,
% 9.70/7.21 (succ(s376, s377) <=> succ(s376, s377)),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45259,axiom,(succ(s376, s377)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound377')).
% 9.70/7.21 tff(45260,plain,
% 9.70/7.21 (succ(s376, s377)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45259, 45258])).
% 9.70/7.21 tff(45261,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s376, s377)) | trans(s376, s377))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s376, s377)) | trans(s376, s377))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45262,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s376, s377)) | trans(s376, s377))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45263,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s376, s377)) | trans(s376, s377)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45262, 45261])).
% 9.70/7.21 tff(45264,plain,
% 9.70/7.21 (trans(s376, s377)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45263, 45260, 51])).
% 9.70/7.21 tff(45265,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s376, s377)) | (~always3(s376)) | always3(s377))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s376, s377)) | (~always3(s376)) | always3(s377))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45266,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s376, s377)) | (~always3(s376)) | always3(s377))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45267,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s376, s377)) | (~always3(s376)) | always3(s377)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45266, 45265])).
% 9.70/7.21 tff(45268,plain,
% 9.70/7.21 ((~always3(s376)) | always3(s377)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45267, 68, 45264])).
% 9.70/7.21 tff(45269,plain,
% 9.70/7.21 (~always3(s376)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45268, 45257])).
% 9.70/7.21 tff(45270,plain,
% 9.70/7.21 (succ(s375, s376) <=> succ(s375, s376)),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45271,axiom,(succ(s375, s376)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound376')).
% 9.70/7.21 tff(45272,plain,
% 9.70/7.21 (succ(s375, s376)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45271, 45270])).
% 9.70/7.21 tff(45273,plain,
% 9.70/7.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s375, s376)) | trans(s375, s376))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s375, s376)) | trans(s375, s376))),
% 9.70/7.21 inference(rewrite,[status(thm)],[])).
% 9.70/7.21 tff(45274,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s375, s376)) | trans(s375, s376))),
% 9.70/7.21 inference(quant_inst,[status(thm)],[])).
% 9.70/7.21 tff(45275,plain,
% 9.70/7.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s375, s376)) | trans(s375, s376)),
% 9.70/7.21 inference(modus_ponens,[status(thm)],[45274, 45273])).
% 9.70/7.21 tff(45276,plain,
% 9.70/7.21 (trans(s375, s376)),
% 9.70/7.21 inference(unit_resolution,[status(thm)],[45275, 45272, 51])).
% 9.70/7.21 tff(45277,plain,
% 9.70/7.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s375, s376)) | (~always3(s375)) | always3(s376))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s375, s376)) | (~always3(s375)) | always3(s376))),
% 9.70/7.22 inference(rewrite,[status(thm)],[])).
% 9.70/7.22 tff(45278,plain,
% 9.70/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s375, s376)) | (~always3(s375)) | always3(s376))),
% 9.70/7.22 inference(quant_inst,[status(thm)],[])).
% 9.70/7.22 tff(45279,plain,
% 9.70/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s375, s376)) | (~always3(s375)) | always3(s376)),
% 9.70/7.22 inference(modus_ponens,[status(thm)],[45278, 45277])).
% 9.70/7.22 tff(45280,plain,
% 9.70/7.22 ((~always3(s375)) | always3(s376)),
% 9.70/7.22 inference(unit_resolution,[status(thm)],[45279, 68, 45276])).
% 9.70/7.22 tff(45281,plain,
% 9.70/7.22 (~always3(s375)),
% 9.70/7.22 inference(unit_resolution,[status(thm)],[45280, 45269])).
% 9.70/7.22 tff(45282,plain,
% 9.70/7.22 (succ(s374, s375) <=> succ(s374, s375)),
% 9.70/7.22 inference(rewrite,[status(thm)],[])).
% 9.70/7.22 tff(45283,axiom,(succ(s374, s375)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound375')).
% 9.70/7.22 tff(45284,plain,
% 9.70/7.22 (succ(s374, s375)),
% 9.70/7.22 inference(modus_ponens,[status(thm)],[45283, 45282])).
% 9.70/7.22 tff(45285,plain,
% 9.70/7.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s374, s375)) | trans(s374, s375))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s374, s375)) | trans(s374, s375))),
% 9.70/7.22 inference(rewrite,[status(thm)],[])).
% 9.70/7.22 tff(45286,plain,
% 9.70/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s374, s375)) | trans(s374, s375))),
% 9.70/7.22 inference(quant_inst,[status(thm)],[])).
% 9.70/7.22 tff(45287,plain,
% 9.70/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s374, s375)) | trans(s374, s375)),
% 9.70/7.22 inference(modus_ponens,[status(thm)],[45286, 45285])).
% 9.70/7.22 tff(45288,plain,
% 9.70/7.22 (trans(s374, s375)),
% 9.70/7.22 inference(unit_resolution,[status(thm)],[45287, 45284, 51])).
% 9.70/7.22 tff(45289,plain,
% 9.70/7.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s374, s375)) | (~always3(s374)) | always3(s375))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s374, s375)) | (~always3(s374)) | always3(s375))),
% 9.70/7.22 inference(rewrite,[status(thm)],[])).
% 9.70/7.22 tff(45290,plain,
% 9.70/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s374, s375)) | (~always3(s374)) | always3(s375))),
% 9.70/7.22 inference(quant_inst,[status(thm)],[])).
% 9.70/7.22 tff(45291,plain,
% 9.70/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s374, s375)) | (~always3(s374)) | always3(s375)),
% 9.70/7.22 inference(modus_ponens,[status(thm)],[45290, 45289])).
% 9.70/7.22 tff(45292,plain,
% 9.70/7.22 ((~always3(s374)) | always3(s375)),
% 9.70/7.22 inference(unit_resolution,[status(thm)],[45291, 68, 45288])).
% 9.70/7.22 tff(45293,plain,
% 9.70/7.22 (~always3(s374)),
% 9.70/7.22 inference(unit_resolution,[status(thm)],[45292, 45281])).
% 9.70/7.22 tff(45294,plain,
% 9.70/7.22 (succ(s373, s374) <=> succ(s373, s374)),
% 9.70/7.22 inference(rewrite,[status(thm)],[])).
% 9.70/7.22 tff(45295,axiom,(succ(s373, s374)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound374')).
% 9.70/7.22 tff(45296,plain,
% 9.70/7.22 (succ(s373, s374)),
% 9.70/7.22 inference(modus_ponens,[status(thm)],[45295, 45294])).
% 9.70/7.22 tff(45297,plain,
% 9.70/7.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s373, s374)) | trans(s373, s374))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s373, s374)) | trans(s373, s374))),
% 9.70/7.22 inference(rewrite,[status(thm)],[])).
% 9.70/7.22 tff(45298,plain,
% 9.70/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s373, s374)) | trans(s373, s374))),
% 9.70/7.22 inference(quant_inst,[status(thm)],[])).
% 9.70/7.22 tff(45299,plain,
% 9.70/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s373, s374)) | trans(s373, s374)),
% 9.70/7.22 inference(modus_ponens,[status(thm)],[45298, 45297])).
% 9.70/7.22 tff(45300,plain,
% 9.70/7.22 (trans(s373, s374)),
% 9.70/7.22 inference(unit_resolution,[status(thm)],[45299, 45296, 51])).
% 9.70/7.22 tff(45301,plain,
% 9.70/7.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s373, s374)) | (~always3(s373)) | always3(s374))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s373, s374)) | (~always3(s373)) | always3(s374))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45302,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s373, s374)) | (~always3(s373)) | always3(s374))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45303,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s373, s374)) | (~always3(s373)) | always3(s374)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45302, 45301])).
% 9.78/7.22 tff(45304,plain,
% 9.78/7.22 ((~always3(s373)) | always3(s374)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45303, 68, 45300])).
% 9.78/7.22 tff(45305,plain,
% 9.78/7.22 (~always3(s373)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45304, 45293])).
% 9.78/7.22 tff(45306,plain,
% 9.78/7.22 (succ(s372, s373) <=> succ(s372, s373)),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45307,axiom,(succ(s372, s373)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound373')).
% 9.78/7.22 tff(45308,plain,
% 9.78/7.22 (succ(s372, s373)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45307, 45306])).
% 9.78/7.22 tff(45309,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s372, s373)) | trans(s372, s373))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s372, s373)) | trans(s372, s373))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45310,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s372, s373)) | trans(s372, s373))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45311,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s372, s373)) | trans(s372, s373)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45310, 45309])).
% 9.78/7.22 tff(45312,plain,
% 9.78/7.22 (trans(s372, s373)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45311, 45308, 51])).
% 9.78/7.22 tff(45313,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s372, s373)) | (~always3(s372)) | always3(s373))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s372, s373)) | (~always3(s372)) | always3(s373))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45314,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s372, s373)) | (~always3(s372)) | always3(s373))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45315,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s372, s373)) | (~always3(s372)) | always3(s373)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45314, 45313])).
% 9.78/7.22 tff(45316,plain,
% 9.78/7.22 ((~always3(s372)) | always3(s373)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45315, 68, 45312])).
% 9.78/7.22 tff(45317,plain,
% 9.78/7.22 (~always3(s372)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45316, 45305])).
% 9.78/7.22 tff(45318,plain,
% 9.78/7.22 (succ(s371, s372) <=> succ(s371, s372)),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45319,axiom,(succ(s371, s372)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound372')).
% 9.78/7.22 tff(45320,plain,
% 9.78/7.22 (succ(s371, s372)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45319, 45318])).
% 9.78/7.22 tff(45321,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s371, s372)) | trans(s371, s372))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s371, s372)) | trans(s371, s372))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45322,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s371, s372)) | trans(s371, s372))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45323,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s371, s372)) | trans(s371, s372)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45322, 45321])).
% 9.78/7.22 tff(45324,plain,
% 9.78/7.22 (trans(s371, s372)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45323, 45320, 51])).
% 9.78/7.22 tff(45325,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s371, s372)) | (~always3(s371)) | always3(s372))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s371, s372)) | (~always3(s371)) | always3(s372))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45326,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s371, s372)) | (~always3(s371)) | always3(s372))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45327,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s371, s372)) | (~always3(s371)) | always3(s372)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45326, 45325])).
% 9.78/7.22 tff(45328,plain,
% 9.78/7.22 ((~always3(s371)) | always3(s372)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45327, 68, 45324])).
% 9.78/7.22 tff(45329,plain,
% 9.78/7.22 (~always3(s371)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45328, 45317])).
% 9.78/7.22 tff(45330,plain,
% 9.78/7.22 (succ(s370, s371) <=> succ(s370, s371)),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45331,axiom,(succ(s370, s371)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound371')).
% 9.78/7.22 tff(45332,plain,
% 9.78/7.22 (succ(s370, s371)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45331, 45330])).
% 9.78/7.22 tff(45333,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s370, s371)) | trans(s370, s371))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s370, s371)) | trans(s370, s371))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45334,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s370, s371)) | trans(s370, s371))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45335,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s370, s371)) | trans(s370, s371)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45334, 45333])).
% 9.78/7.22 tff(45336,plain,
% 9.78/7.22 (trans(s370, s371)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45335, 45332, 51])).
% 9.78/7.22 tff(45337,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s370, s371)) | (~always3(s370)) | always3(s371))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s370, s371)) | (~always3(s370)) | always3(s371))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45338,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s370, s371)) | (~always3(s370)) | always3(s371))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45339,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s370, s371)) | (~always3(s370)) | always3(s371)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45338, 45337])).
% 9.78/7.22 tff(45340,plain,
% 9.78/7.22 ((~always3(s370)) | always3(s371)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45339, 68, 45336])).
% 9.78/7.22 tff(45341,plain,
% 9.78/7.22 (~always3(s370)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45340, 45329])).
% 9.78/7.22 tff(45342,plain,
% 9.78/7.22 (succ(s369, s370) <=> succ(s369, s370)),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45343,axiom,(succ(s369, s370)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound370')).
% 9.78/7.22 tff(45344,plain,
% 9.78/7.22 (succ(s369, s370)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45343, 45342])).
% 9.78/7.22 tff(45345,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s369, s370)) | trans(s369, s370))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s369, s370)) | trans(s369, s370))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45346,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s369, s370)) | trans(s369, s370))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45347,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s369, s370)) | trans(s369, s370)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45346, 45345])).
% 9.78/7.22 tff(45348,plain,
% 9.78/7.22 (trans(s369, s370)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45347, 45344, 51])).
% 9.78/7.22 tff(45349,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s369, s370)) | (~always3(s369)) | always3(s370))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s369, s370)) | (~always3(s369)) | always3(s370))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45350,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s369, s370)) | (~always3(s369)) | always3(s370))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45351,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s369, s370)) | (~always3(s369)) | always3(s370)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45350, 45349])).
% 9.78/7.22 tff(45352,plain,
% 9.78/7.22 ((~always3(s369)) | always3(s370)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45351, 68, 45348])).
% 9.78/7.22 tff(45353,plain,
% 9.78/7.22 (~always3(s369)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45352, 45341])).
% 9.78/7.22 tff(45354,plain,
% 9.78/7.22 (succ(s368, s369) <=> succ(s368, s369)),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45355,axiom,(succ(s368, s369)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound369')).
% 9.78/7.22 tff(45356,plain,
% 9.78/7.22 (succ(s368, s369)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45355, 45354])).
% 9.78/7.22 tff(45357,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s368, s369)) | trans(s368, s369))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s368, s369)) | trans(s368, s369))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45358,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s368, s369)) | trans(s368, s369))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45359,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s368, s369)) | trans(s368, s369)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45358, 45357])).
% 9.78/7.22 tff(45360,plain,
% 9.78/7.22 (trans(s368, s369)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45359, 45356, 51])).
% 9.78/7.22 tff(45361,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s368, s369)) | (~always3(s368)) | always3(s369))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s368, s369)) | (~always3(s368)) | always3(s369))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45362,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s368, s369)) | (~always3(s368)) | always3(s369))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45363,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s368, s369)) | (~always3(s368)) | always3(s369)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45362, 45361])).
% 9.78/7.22 tff(45364,plain,
% 9.78/7.22 ((~always3(s368)) | always3(s369)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45363, 68, 45360])).
% 9.78/7.22 tff(45365,plain,
% 9.78/7.22 (~always3(s368)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45364, 45353])).
% 9.78/7.22 tff(45366,plain,
% 9.78/7.22 (succ(s367, s368) <=> succ(s367, s368)),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45367,axiom,(succ(s367, s368)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound368')).
% 9.78/7.22 tff(45368,plain,
% 9.78/7.22 (succ(s367, s368)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45367, 45366])).
% 9.78/7.22 tff(45369,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s367, s368)) | trans(s367, s368))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s367, s368)) | trans(s367, s368))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45370,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s367, s368)) | trans(s367, s368))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45371,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s367, s368)) | trans(s367, s368)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45370, 45369])).
% 9.78/7.22 tff(45372,plain,
% 9.78/7.22 (trans(s367, s368)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45371, 45368, 51])).
% 9.78/7.22 tff(45373,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s367, s368)) | (~always3(s367)) | always3(s368))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s367, s368)) | (~always3(s367)) | always3(s368))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45374,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s367, s368)) | (~always3(s367)) | always3(s368))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45375,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s367, s368)) | (~always3(s367)) | always3(s368)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45374, 45373])).
% 9.78/7.22 tff(45376,plain,
% 9.78/7.22 ((~always3(s367)) | always3(s368)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45375, 68, 45372])).
% 9.78/7.22 tff(45377,plain,
% 9.78/7.22 (~always3(s367)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45376, 45365])).
% 9.78/7.22 tff(45378,plain,
% 9.78/7.22 (succ(s366, s367) <=> succ(s366, s367)),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45379,axiom,(succ(s366, s367)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound367')).
% 9.78/7.22 tff(45380,plain,
% 9.78/7.22 (succ(s366, s367)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45379, 45378])).
% 9.78/7.22 tff(45381,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s366, s367)) | trans(s366, s367))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s366, s367)) | trans(s366, s367))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45382,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s366, s367)) | trans(s366, s367))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45383,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s366, s367)) | trans(s366, s367)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45382, 45381])).
% 9.78/7.22 tff(45384,plain,
% 9.78/7.22 (trans(s366, s367)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45383, 45380, 51])).
% 9.78/7.22 tff(45385,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s366, s367)) | (~always3(s366)) | always3(s367))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s366, s367)) | (~always3(s366)) | always3(s367))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45386,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s366, s367)) | (~always3(s366)) | always3(s367))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45387,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s366, s367)) | (~always3(s366)) | always3(s367)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45386, 45385])).
% 9.78/7.22 tff(45388,plain,
% 9.78/7.22 ((~always3(s366)) | always3(s367)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45387, 68, 45384])).
% 9.78/7.22 tff(45389,plain,
% 9.78/7.22 (~always3(s366)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45388, 45377])).
% 9.78/7.22 tff(45390,plain,
% 9.78/7.22 (succ(s365, s366) <=> succ(s365, s366)),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45391,axiom,(succ(s365, s366)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound366')).
% 9.78/7.22 tff(45392,plain,
% 9.78/7.22 (succ(s365, s366)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45391, 45390])).
% 9.78/7.22 tff(45393,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s365, s366)) | trans(s365, s366))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s365, s366)) | trans(s365, s366))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45394,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s365, s366)) | trans(s365, s366))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45395,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s365, s366)) | trans(s365, s366)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45394, 45393])).
% 9.78/7.22 tff(45396,plain,
% 9.78/7.22 (trans(s365, s366)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45395, 45392, 51])).
% 9.78/7.22 tff(45397,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s365, s366)) | (~always3(s365)) | always3(s366))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s365, s366)) | (~always3(s365)) | always3(s366))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45398,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s365, s366)) | (~always3(s365)) | always3(s366))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45399,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s365, s366)) | (~always3(s365)) | always3(s366)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45398, 45397])).
% 9.78/7.22 tff(45400,plain,
% 9.78/7.22 ((~always3(s365)) | always3(s366)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45399, 68, 45396])).
% 9.78/7.22 tff(45401,plain,
% 9.78/7.22 (~always3(s365)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45400, 45389])).
% 9.78/7.22 tff(45402,plain,
% 9.78/7.22 (succ(s364, s365) <=> succ(s364, s365)),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45403,axiom,(succ(s364, s365)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound365')).
% 9.78/7.22 tff(45404,plain,
% 9.78/7.22 (succ(s364, s365)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45403, 45402])).
% 9.78/7.22 tff(45405,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s364, s365)) | trans(s364, s365))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s364, s365)) | trans(s364, s365))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45406,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s364, s365)) | trans(s364, s365))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45407,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s364, s365)) | trans(s364, s365)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45406, 45405])).
% 9.78/7.22 tff(45408,plain,
% 9.78/7.22 (trans(s364, s365)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45407, 45404, 51])).
% 9.78/7.22 tff(45409,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s364, s365)) | (~always3(s364)) | always3(s365))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s364, s365)) | (~always3(s364)) | always3(s365))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45410,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s364, s365)) | (~always3(s364)) | always3(s365))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45411,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s364, s365)) | (~always3(s364)) | always3(s365)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45410, 45409])).
% 9.78/7.22 tff(45412,plain,
% 9.78/7.22 ((~always3(s364)) | always3(s365)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45411, 68, 45408])).
% 9.78/7.22 tff(45413,plain,
% 9.78/7.22 (~always3(s364)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45412, 45401])).
% 9.78/7.22 tff(45414,plain,
% 9.78/7.22 (succ(s363, s364) <=> succ(s363, s364)),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45415,axiom,(succ(s363, s364)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound364')).
% 9.78/7.22 tff(45416,plain,
% 9.78/7.22 (succ(s363, s364)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45415, 45414])).
% 9.78/7.22 tff(45417,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s363, s364)) | trans(s363, s364))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s363, s364)) | trans(s363, s364))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45418,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s363, s364)) | trans(s363, s364))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45419,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s363, s364)) | trans(s363, s364)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45418, 45417])).
% 9.78/7.22 tff(45420,plain,
% 9.78/7.22 (trans(s363, s364)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45419, 45416, 51])).
% 9.78/7.22 tff(45421,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s363, s364)) | (~always3(s363)) | always3(s364))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s363, s364)) | (~always3(s363)) | always3(s364))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45422,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s363, s364)) | (~always3(s363)) | always3(s364))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45423,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s363, s364)) | (~always3(s363)) | always3(s364)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45422, 45421])).
% 9.78/7.22 tff(45424,plain,
% 9.78/7.22 ((~always3(s363)) | always3(s364)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45423, 68, 45420])).
% 9.78/7.22 tff(45425,plain,
% 9.78/7.22 (~always3(s363)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45424, 45413])).
% 9.78/7.22 tff(45426,plain,
% 9.78/7.22 (succ(s362, s363) <=> succ(s362, s363)),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45427,axiom,(succ(s362, s363)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound363')).
% 9.78/7.22 tff(45428,plain,
% 9.78/7.22 (succ(s362, s363)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45427, 45426])).
% 9.78/7.22 tff(45429,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s362, s363)) | trans(s362, s363))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s362, s363)) | trans(s362, s363))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45430,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s362, s363)) | trans(s362, s363))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45431,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s362, s363)) | trans(s362, s363)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45430, 45429])).
% 9.78/7.22 tff(45432,plain,
% 9.78/7.22 (trans(s362, s363)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45431, 45428, 51])).
% 9.78/7.22 tff(45433,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s362, s363)) | (~always3(s362)) | always3(s363))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s362, s363)) | (~always3(s362)) | always3(s363))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45434,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s362, s363)) | (~always3(s362)) | always3(s363))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45435,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s362, s363)) | (~always3(s362)) | always3(s363)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45434, 45433])).
% 9.78/7.22 tff(45436,plain,
% 9.78/7.22 ((~always3(s362)) | always3(s363)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45435, 68, 45432])).
% 9.78/7.22 tff(45437,plain,
% 9.78/7.22 (~always3(s362)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45436, 45425])).
% 9.78/7.22 tff(45438,plain,
% 9.78/7.22 (succ(s361, s362) <=> succ(s361, s362)),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45439,axiom,(succ(s361, s362)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound362')).
% 9.78/7.22 tff(45440,plain,
% 9.78/7.22 (succ(s361, s362)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45439, 45438])).
% 9.78/7.22 tff(45441,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s361, s362)) | trans(s361, s362))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s361, s362)) | trans(s361, s362))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45442,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s361, s362)) | trans(s361, s362))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45443,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s361, s362)) | trans(s361, s362)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45442, 45441])).
% 9.78/7.22 tff(45444,plain,
% 9.78/7.22 (trans(s361, s362)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45443, 45440, 51])).
% 9.78/7.22 tff(45445,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s361, s362)) | (~always3(s361)) | always3(s362))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s361, s362)) | (~always3(s361)) | always3(s362))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45446,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s361, s362)) | (~always3(s361)) | always3(s362))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45447,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s361, s362)) | (~always3(s361)) | always3(s362)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45446, 45445])).
% 9.78/7.22 tff(45448,plain,
% 9.78/7.22 ((~always3(s361)) | always3(s362)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45447, 68, 45444])).
% 9.78/7.22 tff(45449,plain,
% 9.78/7.22 (~always3(s361)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45448, 45437])).
% 9.78/7.22 tff(45450,plain,
% 9.78/7.22 (succ(s360, s361) <=> succ(s360, s361)),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45451,axiom,(succ(s360, s361)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound361')).
% 9.78/7.22 tff(45452,plain,
% 9.78/7.22 (succ(s360, s361)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45451, 45450])).
% 9.78/7.22 tff(45453,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s360, s361)) | trans(s360, s361))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s360, s361)) | trans(s360, s361))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45454,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s360, s361)) | trans(s360, s361))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45455,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s360, s361)) | trans(s360, s361)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45454, 45453])).
% 9.78/7.22 tff(45456,plain,
% 9.78/7.22 (trans(s360, s361)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45455, 45452, 51])).
% 9.78/7.22 tff(45457,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s360, s361)) | (~always3(s360)) | always3(s361))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s360, s361)) | (~always3(s360)) | always3(s361))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45458,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s360, s361)) | (~always3(s360)) | always3(s361))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45459,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s360, s361)) | (~always3(s360)) | always3(s361)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45458, 45457])).
% 9.78/7.22 tff(45460,plain,
% 9.78/7.22 ((~always3(s360)) | always3(s361)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45459, 68, 45456])).
% 9.78/7.22 tff(45461,plain,
% 9.78/7.22 (~always3(s360)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45460, 45449])).
% 9.78/7.22 tff(45462,plain,
% 9.78/7.22 (succ(s359, s360) <=> succ(s359, s360)),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45463,axiom,(succ(s359, s360)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound360')).
% 9.78/7.22 tff(45464,plain,
% 9.78/7.22 (succ(s359, s360)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45463, 45462])).
% 9.78/7.22 tff(45465,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s359, s360)) | trans(s359, s360))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s359, s360)) | trans(s359, s360))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45466,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s359, s360)) | trans(s359, s360))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45467,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s359, s360)) | trans(s359, s360)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45466, 45465])).
% 9.78/7.22 tff(45468,plain,
% 9.78/7.22 (trans(s359, s360)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45467, 45464, 51])).
% 9.78/7.22 tff(45469,plain,
% 9.78/7.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s359, s360)) | (~always3(s359)) | always3(s360))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s359, s360)) | (~always3(s359)) | always3(s360))),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45470,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s359, s360)) | (~always3(s359)) | always3(s360))),
% 9.78/7.22 inference(quant_inst,[status(thm)],[])).
% 9.78/7.22 tff(45471,plain,
% 9.78/7.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s359, s360)) | (~always3(s359)) | always3(s360)),
% 9.78/7.22 inference(modus_ponens,[status(thm)],[45470, 45469])).
% 9.78/7.22 tff(45472,plain,
% 9.78/7.22 ((~always3(s359)) | always3(s360)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45471, 68, 45468])).
% 9.78/7.22 tff(45473,plain,
% 9.78/7.22 (~always3(s359)),
% 9.78/7.22 inference(unit_resolution,[status(thm)],[45472, 45461])).
% 9.78/7.22 tff(45474,plain,
% 9.78/7.22 (succ(s358, s359) <=> succ(s358, s359)),
% 9.78/7.22 inference(rewrite,[status(thm)],[])).
% 9.78/7.22 tff(45475,axiom,(succ(s358, s359)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound359')).
% 9.78/7.22 tff(45476,plain,
% 9.78/7.23 (succ(s358, s359)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45475, 45474])).
% 9.78/7.23 tff(45477,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s358, s359)) | trans(s358, s359))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s358, s359)) | trans(s358, s359))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45478,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s358, s359)) | trans(s358, s359))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45479,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s358, s359)) | trans(s358, s359)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45478, 45477])).
% 9.78/7.23 tff(45480,plain,
% 9.78/7.23 (trans(s358, s359)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45479, 45476, 51])).
% 9.78/7.23 tff(45481,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s358, s359)) | (~always3(s358)) | always3(s359))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s358, s359)) | (~always3(s358)) | always3(s359))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45482,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s358, s359)) | (~always3(s358)) | always3(s359))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45483,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s358, s359)) | (~always3(s358)) | always3(s359)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45482, 45481])).
% 9.78/7.23 tff(45484,plain,
% 9.78/7.23 ((~always3(s358)) | always3(s359)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45483, 68, 45480])).
% 9.78/7.23 tff(45485,plain,
% 9.78/7.23 (~always3(s358)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45484, 45473])).
% 9.78/7.23 tff(45486,plain,
% 9.78/7.23 (succ(s357, s358) <=> succ(s357, s358)),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45487,axiom,(succ(s357, s358)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound358')).
% 9.78/7.23 tff(45488,plain,
% 9.78/7.23 (succ(s357, s358)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45487, 45486])).
% 9.78/7.23 tff(45489,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s357, s358)) | trans(s357, s358))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s357, s358)) | trans(s357, s358))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45490,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s357, s358)) | trans(s357, s358))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45491,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s357, s358)) | trans(s357, s358)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45490, 45489])).
% 9.78/7.23 tff(45492,plain,
% 9.78/7.23 (trans(s357, s358)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45491, 45488, 51])).
% 9.78/7.23 tff(45493,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s357, s358)) | (~always3(s357)) | always3(s358))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s357, s358)) | (~always3(s357)) | always3(s358))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45494,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s357, s358)) | (~always3(s357)) | always3(s358))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45495,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s357, s358)) | (~always3(s357)) | always3(s358)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45494, 45493])).
% 9.78/7.23 tff(45496,plain,
% 9.78/7.23 ((~always3(s357)) | always3(s358)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45495, 68, 45492])).
% 9.78/7.23 tff(45497,plain,
% 9.78/7.23 (~always3(s357)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45496, 45485])).
% 9.78/7.23 tff(45498,plain,
% 9.78/7.23 (succ(s356, s357) <=> succ(s356, s357)),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45499,axiom,(succ(s356, s357)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound357')).
% 9.78/7.23 tff(45500,plain,
% 9.78/7.23 (succ(s356, s357)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45499, 45498])).
% 9.78/7.23 tff(45501,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s356, s357)) | trans(s356, s357))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s356, s357)) | trans(s356, s357))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45502,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s356, s357)) | trans(s356, s357))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45503,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s356, s357)) | trans(s356, s357)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45502, 45501])).
% 9.78/7.23 tff(45504,plain,
% 9.78/7.23 (trans(s356, s357)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45503, 45500, 51])).
% 9.78/7.23 tff(45505,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s356, s357)) | (~always3(s356)) | always3(s357))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s356, s357)) | (~always3(s356)) | always3(s357))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45506,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s356, s357)) | (~always3(s356)) | always3(s357))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45507,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s356, s357)) | (~always3(s356)) | always3(s357)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45506, 45505])).
% 9.78/7.23 tff(45508,plain,
% 9.78/7.23 ((~always3(s356)) | always3(s357)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45507, 68, 45504])).
% 9.78/7.23 tff(45509,plain,
% 9.78/7.23 (~always3(s356)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45508, 45497])).
% 9.78/7.23 tff(45510,plain,
% 9.78/7.23 (succ(s355, s356) <=> succ(s355, s356)),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45511,axiom,(succ(s355, s356)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound356')).
% 9.78/7.23 tff(45512,plain,
% 9.78/7.23 (succ(s355, s356)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45511, 45510])).
% 9.78/7.23 tff(45513,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s355, s356)) | trans(s355, s356))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s355, s356)) | trans(s355, s356))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45514,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s355, s356)) | trans(s355, s356))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45515,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s355, s356)) | trans(s355, s356)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45514, 45513])).
% 9.78/7.23 tff(45516,plain,
% 9.78/7.23 (trans(s355, s356)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45515, 45512, 51])).
% 9.78/7.23 tff(45517,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s355, s356)) | (~always3(s355)) | always3(s356))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s355, s356)) | (~always3(s355)) | always3(s356))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45518,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s355, s356)) | (~always3(s355)) | always3(s356))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45519,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s355, s356)) | (~always3(s355)) | always3(s356)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45518, 45517])).
% 9.78/7.23 tff(45520,plain,
% 9.78/7.23 ((~always3(s355)) | always3(s356)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45519, 68, 45516])).
% 9.78/7.23 tff(45521,plain,
% 9.78/7.23 (~always3(s355)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45520, 45509])).
% 9.78/7.23 tff(45522,plain,
% 9.78/7.23 (succ(s354, s355) <=> succ(s354, s355)),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45523,axiom,(succ(s354, s355)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound355')).
% 9.78/7.23 tff(45524,plain,
% 9.78/7.23 (succ(s354, s355)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45523, 45522])).
% 9.78/7.23 tff(45525,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s354, s355)) | trans(s354, s355))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s354, s355)) | trans(s354, s355))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45526,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s354, s355)) | trans(s354, s355))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45527,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s354, s355)) | trans(s354, s355)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45526, 45525])).
% 9.78/7.23 tff(45528,plain,
% 9.78/7.23 (trans(s354, s355)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45527, 45524, 51])).
% 9.78/7.23 tff(45529,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s354, s355)) | (~always3(s354)) | always3(s355))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s354, s355)) | (~always3(s354)) | always3(s355))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45530,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s354, s355)) | (~always3(s354)) | always3(s355))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45531,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s354, s355)) | (~always3(s354)) | always3(s355)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45530, 45529])).
% 9.78/7.23 tff(45532,plain,
% 9.78/7.23 ((~always3(s354)) | always3(s355)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45531, 68, 45528])).
% 9.78/7.23 tff(45533,plain,
% 9.78/7.23 (~always3(s354)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45532, 45521])).
% 9.78/7.23 tff(45534,plain,
% 9.78/7.23 (succ(s353, s354) <=> succ(s353, s354)),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45535,axiom,(succ(s353, s354)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound354')).
% 9.78/7.23 tff(45536,plain,
% 9.78/7.23 (succ(s353, s354)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45535, 45534])).
% 9.78/7.23 tff(45537,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s353, s354)) | trans(s353, s354))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s353, s354)) | trans(s353, s354))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45538,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s353, s354)) | trans(s353, s354))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45539,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s353, s354)) | trans(s353, s354)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45538, 45537])).
% 9.78/7.23 tff(45540,plain,
% 9.78/7.23 (trans(s353, s354)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45539, 45536, 51])).
% 9.78/7.23 tff(45541,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s353, s354)) | (~always3(s353)) | always3(s354))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s353, s354)) | (~always3(s353)) | always3(s354))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45542,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s353, s354)) | (~always3(s353)) | always3(s354))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45543,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s353, s354)) | (~always3(s353)) | always3(s354)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45542, 45541])).
% 9.78/7.23 tff(45544,plain,
% 9.78/7.23 ((~always3(s353)) | always3(s354)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45543, 68, 45540])).
% 9.78/7.23 tff(45545,plain,
% 9.78/7.23 (~always3(s353)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45544, 45533])).
% 9.78/7.23 tff(45546,plain,
% 9.78/7.23 (succ(s352, s353) <=> succ(s352, s353)),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45547,axiom,(succ(s352, s353)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound353')).
% 9.78/7.23 tff(45548,plain,
% 9.78/7.23 (succ(s352, s353)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45547, 45546])).
% 9.78/7.23 tff(45549,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s352, s353)) | trans(s352, s353))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s352, s353)) | trans(s352, s353))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45550,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s352, s353)) | trans(s352, s353))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45551,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s352, s353)) | trans(s352, s353)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45550, 45549])).
% 9.78/7.23 tff(45552,plain,
% 9.78/7.23 (trans(s352, s353)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45551, 45548, 51])).
% 9.78/7.23 tff(45553,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s352, s353)) | (~always3(s352)) | always3(s353))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s352, s353)) | (~always3(s352)) | always3(s353))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45554,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s352, s353)) | (~always3(s352)) | always3(s353))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45555,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s352, s353)) | (~always3(s352)) | always3(s353)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45554, 45553])).
% 9.78/7.23 tff(45556,plain,
% 9.78/7.23 ((~always3(s352)) | always3(s353)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45555, 68, 45552])).
% 9.78/7.23 tff(45557,plain,
% 9.78/7.23 (~always3(s352)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45556, 45545])).
% 9.78/7.23 tff(45558,plain,
% 9.78/7.23 (succ(s351, s352) <=> succ(s351, s352)),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45559,axiom,(succ(s351, s352)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound352')).
% 9.78/7.23 tff(45560,plain,
% 9.78/7.23 (succ(s351, s352)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45559, 45558])).
% 9.78/7.23 tff(45561,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s351, s352)) | trans(s351, s352))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s351, s352)) | trans(s351, s352))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45562,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s351, s352)) | trans(s351, s352))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45563,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s351, s352)) | trans(s351, s352)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45562, 45561])).
% 9.78/7.23 tff(45564,plain,
% 9.78/7.23 (trans(s351, s352)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45563, 45560, 51])).
% 9.78/7.23 tff(45565,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s351, s352)) | (~always3(s351)) | always3(s352))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s351, s352)) | (~always3(s351)) | always3(s352))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45566,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s351, s352)) | (~always3(s351)) | always3(s352))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45567,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s351, s352)) | (~always3(s351)) | always3(s352)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45566, 45565])).
% 9.78/7.23 tff(45568,plain,
% 9.78/7.23 ((~always3(s351)) | always3(s352)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45567, 68, 45564])).
% 9.78/7.23 tff(45569,plain,
% 9.78/7.23 (~always3(s351)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45568, 45557])).
% 9.78/7.23 tff(45570,plain,
% 9.78/7.23 (succ(s350, s351) <=> succ(s350, s351)),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45571,axiom,(succ(s350, s351)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound351')).
% 9.78/7.23 tff(45572,plain,
% 9.78/7.23 (succ(s350, s351)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45571, 45570])).
% 9.78/7.23 tff(45573,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s350, s351)) | trans(s350, s351))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s350, s351)) | trans(s350, s351))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45574,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s350, s351)) | trans(s350, s351))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45575,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s350, s351)) | trans(s350, s351)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45574, 45573])).
% 9.78/7.23 tff(45576,plain,
% 9.78/7.23 (trans(s350, s351)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45575, 45572, 51])).
% 9.78/7.23 tff(45577,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s350, s351)) | (~always3(s350)) | always3(s351))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s350, s351)) | (~always3(s350)) | always3(s351))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45578,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s350, s351)) | (~always3(s350)) | always3(s351))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45579,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s350, s351)) | (~always3(s350)) | always3(s351)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45578, 45577])).
% 9.78/7.23 tff(45580,plain,
% 9.78/7.23 ((~always3(s350)) | always3(s351)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45579, 68, 45576])).
% 9.78/7.23 tff(45581,plain,
% 9.78/7.23 (~always3(s350)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45580, 45569])).
% 9.78/7.23 tff(45582,plain,
% 9.78/7.23 (succ(s349, s350) <=> succ(s349, s350)),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45583,axiom,(succ(s349, s350)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound350')).
% 9.78/7.23 tff(45584,plain,
% 9.78/7.23 (succ(s349, s350)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45583, 45582])).
% 9.78/7.23 tff(45585,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s349, s350)) | trans(s349, s350))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s349, s350)) | trans(s349, s350))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45586,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s349, s350)) | trans(s349, s350))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45587,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s349, s350)) | trans(s349, s350)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45586, 45585])).
% 9.78/7.23 tff(45588,plain,
% 9.78/7.23 (trans(s349, s350)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45587, 45584, 51])).
% 9.78/7.23 tff(45589,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s349, s350)) | (~always3(s349)) | always3(s350))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s349, s350)) | (~always3(s349)) | always3(s350))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45590,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s349, s350)) | (~always3(s349)) | always3(s350))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45591,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s349, s350)) | (~always3(s349)) | always3(s350)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45590, 45589])).
% 9.78/7.23 tff(45592,plain,
% 9.78/7.23 ((~always3(s349)) | always3(s350)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45591, 68, 45588])).
% 9.78/7.23 tff(45593,plain,
% 9.78/7.23 (~always3(s349)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45592, 45581])).
% 9.78/7.23 tff(45594,plain,
% 9.78/7.23 (succ(s348, s349) <=> succ(s348, s349)),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45595,axiom,(succ(s348, s349)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound349')).
% 9.78/7.23 tff(45596,plain,
% 9.78/7.23 (succ(s348, s349)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45595, 45594])).
% 9.78/7.23 tff(45597,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s348, s349)) | trans(s348, s349))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s348, s349)) | trans(s348, s349))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45598,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s348, s349)) | trans(s348, s349))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45599,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s348, s349)) | trans(s348, s349)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45598, 45597])).
% 9.78/7.23 tff(45600,plain,
% 9.78/7.23 (trans(s348, s349)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45599, 45596, 51])).
% 9.78/7.23 tff(45601,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s348, s349)) | (~always3(s348)) | always3(s349))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s348, s349)) | (~always3(s348)) | always3(s349))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45602,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s348, s349)) | (~always3(s348)) | always3(s349))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45603,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s348, s349)) | (~always3(s348)) | always3(s349)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45602, 45601])).
% 9.78/7.23 tff(45604,plain,
% 9.78/7.23 ((~always3(s348)) | always3(s349)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45603, 68, 45600])).
% 9.78/7.23 tff(45605,plain,
% 9.78/7.23 (~always3(s348)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45604, 45593])).
% 9.78/7.23 tff(45606,plain,
% 9.78/7.23 (succ(s347, s348) <=> succ(s347, s348)),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45607,axiom,(succ(s347, s348)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound348')).
% 9.78/7.23 tff(45608,plain,
% 9.78/7.23 (succ(s347, s348)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45607, 45606])).
% 9.78/7.23 tff(45609,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s347, s348)) | trans(s347, s348))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s347, s348)) | trans(s347, s348))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45610,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s347, s348)) | trans(s347, s348))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45611,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s347, s348)) | trans(s347, s348)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45610, 45609])).
% 9.78/7.23 tff(45612,plain,
% 9.78/7.23 (trans(s347, s348)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45611, 45608, 51])).
% 9.78/7.23 tff(45613,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s347, s348)) | (~always3(s347)) | always3(s348))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s347, s348)) | (~always3(s347)) | always3(s348))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45614,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s347, s348)) | (~always3(s347)) | always3(s348))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45615,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s347, s348)) | (~always3(s347)) | always3(s348)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45614, 45613])).
% 9.78/7.23 tff(45616,plain,
% 9.78/7.23 ((~always3(s347)) | always3(s348)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45615, 68, 45612])).
% 9.78/7.23 tff(45617,plain,
% 9.78/7.23 (~always3(s347)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45616, 45605])).
% 9.78/7.23 tff(45618,plain,
% 9.78/7.23 (succ(s346, s347) <=> succ(s346, s347)),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45619,axiom,(succ(s346, s347)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound347')).
% 9.78/7.23 tff(45620,plain,
% 9.78/7.23 (succ(s346, s347)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45619, 45618])).
% 9.78/7.23 tff(45621,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s346, s347)) | trans(s346, s347))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s346, s347)) | trans(s346, s347))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45622,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s346, s347)) | trans(s346, s347))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45623,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s346, s347)) | trans(s346, s347)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45622, 45621])).
% 9.78/7.23 tff(45624,plain,
% 9.78/7.23 (trans(s346, s347)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45623, 45620, 51])).
% 9.78/7.23 tff(45625,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s346, s347)) | (~always3(s346)) | always3(s347))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s346, s347)) | (~always3(s346)) | always3(s347))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45626,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s346, s347)) | (~always3(s346)) | always3(s347))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45627,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s346, s347)) | (~always3(s346)) | always3(s347)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45626, 45625])).
% 9.78/7.23 tff(45628,plain,
% 9.78/7.23 ((~always3(s346)) | always3(s347)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45627, 68, 45624])).
% 9.78/7.23 tff(45629,plain,
% 9.78/7.23 (~always3(s346)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45628, 45617])).
% 9.78/7.23 tff(45630,plain,
% 9.78/7.23 (succ(s345, s346) <=> succ(s345, s346)),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45631,axiom,(succ(s345, s346)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound346')).
% 9.78/7.23 tff(45632,plain,
% 9.78/7.23 (succ(s345, s346)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45631, 45630])).
% 9.78/7.23 tff(45633,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s345, s346)) | trans(s345, s346))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s345, s346)) | trans(s345, s346))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45634,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s345, s346)) | trans(s345, s346))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45635,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s345, s346)) | trans(s345, s346)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45634, 45633])).
% 9.78/7.23 tff(45636,plain,
% 9.78/7.23 (trans(s345, s346)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45635, 45632, 51])).
% 9.78/7.23 tff(45637,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s345, s346)) | (~always3(s345)) | always3(s346))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s345, s346)) | (~always3(s345)) | always3(s346))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45638,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s345, s346)) | (~always3(s345)) | always3(s346))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45639,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s345, s346)) | (~always3(s345)) | always3(s346)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45638, 45637])).
% 9.78/7.23 tff(45640,plain,
% 9.78/7.23 ((~always3(s345)) | always3(s346)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45639, 68, 45636])).
% 9.78/7.23 tff(45641,plain,
% 9.78/7.23 (~always3(s345)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45640, 45629])).
% 9.78/7.23 tff(45642,plain,
% 9.78/7.23 (succ(s344, s345) <=> succ(s344, s345)),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45643,axiom,(succ(s344, s345)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound345')).
% 9.78/7.23 tff(45644,plain,
% 9.78/7.23 (succ(s344, s345)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45643, 45642])).
% 9.78/7.23 tff(45645,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s344, s345)) | trans(s344, s345))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s344, s345)) | trans(s344, s345))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45646,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s344, s345)) | trans(s344, s345))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45647,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s344, s345)) | trans(s344, s345)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45646, 45645])).
% 9.78/7.23 tff(45648,plain,
% 9.78/7.23 (trans(s344, s345)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45647, 45644, 51])).
% 9.78/7.23 tff(45649,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s344, s345)) | (~always3(s344)) | always3(s345))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s344, s345)) | (~always3(s344)) | always3(s345))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45650,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s344, s345)) | (~always3(s344)) | always3(s345))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45651,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s344, s345)) | (~always3(s344)) | always3(s345)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45650, 45649])).
% 9.78/7.23 tff(45652,plain,
% 9.78/7.23 ((~always3(s344)) | always3(s345)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45651, 68, 45648])).
% 9.78/7.23 tff(45653,plain,
% 9.78/7.23 (~always3(s344)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45652, 45641])).
% 9.78/7.23 tff(45654,plain,
% 9.78/7.23 (succ(s343, s344) <=> succ(s343, s344)),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45655,axiom,(succ(s343, s344)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound344')).
% 9.78/7.23 tff(45656,plain,
% 9.78/7.23 (succ(s343, s344)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45655, 45654])).
% 9.78/7.23 tff(45657,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s343, s344)) | trans(s343, s344))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s343, s344)) | trans(s343, s344))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45658,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s343, s344)) | trans(s343, s344))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45659,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s343, s344)) | trans(s343, s344)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45658, 45657])).
% 9.78/7.23 tff(45660,plain,
% 9.78/7.23 (trans(s343, s344)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45659, 45656, 51])).
% 9.78/7.23 tff(45661,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s343, s344)) | (~always3(s343)) | always3(s344))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s343, s344)) | (~always3(s343)) | always3(s344))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45662,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s343, s344)) | (~always3(s343)) | always3(s344))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45663,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s343, s344)) | (~always3(s343)) | always3(s344)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45662, 45661])).
% 9.78/7.23 tff(45664,plain,
% 9.78/7.23 ((~always3(s343)) | always3(s344)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45663, 68, 45660])).
% 9.78/7.23 tff(45665,plain,
% 9.78/7.23 (~always3(s343)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45664, 45653])).
% 9.78/7.23 tff(45666,plain,
% 9.78/7.23 (succ(s342, s343) <=> succ(s342, s343)),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45667,axiom,(succ(s342, s343)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound343')).
% 9.78/7.23 tff(45668,plain,
% 9.78/7.23 (succ(s342, s343)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45667, 45666])).
% 9.78/7.23 tff(45669,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s342, s343)) | trans(s342, s343))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s342, s343)) | trans(s342, s343))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45670,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s342, s343)) | trans(s342, s343))),
% 9.78/7.23 inference(quant_inst,[status(thm)],[])).
% 9.78/7.23 tff(45671,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s342, s343)) | trans(s342, s343)),
% 9.78/7.23 inference(modus_ponens,[status(thm)],[45670, 45669])).
% 9.78/7.23 tff(45672,plain,
% 9.78/7.23 (trans(s342, s343)),
% 9.78/7.23 inference(unit_resolution,[status(thm)],[45671, 45668, 51])).
% 9.78/7.23 tff(45673,plain,
% 9.78/7.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s342, s343)) | (~always3(s342)) | always3(s343))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s342, s343)) | (~always3(s342)) | always3(s343))),
% 9.78/7.23 inference(rewrite,[status(thm)],[])).
% 9.78/7.23 tff(45674,plain,
% 9.78/7.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s342, s343)) | (~always3(s342)) | always3(s343))),
% 9.78/7.24 inference(quant_inst,[status(thm)],[])).
% 9.78/7.24 tff(45675,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s342, s343)) | (~always3(s342)) | always3(s343)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45674, 45673])).
% 9.78/7.24 tff(45676,plain,
% 9.78/7.24 ((~always3(s342)) | always3(s343)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45675, 68, 45672])).
% 9.78/7.24 tff(45677,plain,
% 9.78/7.24 (~always3(s342)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45676, 45665])).
% 9.78/7.24 tff(45678,plain,
% 9.78/7.24 (succ(s341, s342) <=> succ(s341, s342)),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45679,axiom,(succ(s341, s342)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound342')).
% 9.78/7.24 tff(45680,plain,
% 9.78/7.24 (succ(s341, s342)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45679, 45678])).
% 9.78/7.24 tff(45681,plain,
% 9.78/7.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s341, s342)) | trans(s341, s342))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s341, s342)) | trans(s341, s342))),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45682,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s341, s342)) | trans(s341, s342))),
% 9.78/7.24 inference(quant_inst,[status(thm)],[])).
% 9.78/7.24 tff(45683,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s341, s342)) | trans(s341, s342)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45682, 45681])).
% 9.78/7.24 tff(45684,plain,
% 9.78/7.24 (trans(s341, s342)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45683, 45680, 51])).
% 9.78/7.24 tff(45685,plain,
% 9.78/7.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s341, s342)) | (~always3(s341)) | always3(s342))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s341, s342)) | (~always3(s341)) | always3(s342))),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45686,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s341, s342)) | (~always3(s341)) | always3(s342))),
% 9.78/7.24 inference(quant_inst,[status(thm)],[])).
% 9.78/7.24 tff(45687,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s341, s342)) | (~always3(s341)) | always3(s342)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45686, 45685])).
% 9.78/7.24 tff(45688,plain,
% 9.78/7.24 ((~always3(s341)) | always3(s342)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45687, 68, 45684])).
% 9.78/7.24 tff(45689,plain,
% 9.78/7.24 (~always3(s341)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45688, 45677])).
% 9.78/7.24 tff(45690,plain,
% 9.78/7.24 (succ(s340, s341) <=> succ(s340, s341)),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45691,axiom,(succ(s340, s341)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound341')).
% 9.78/7.24 tff(45692,plain,
% 9.78/7.24 (succ(s340, s341)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45691, 45690])).
% 9.78/7.24 tff(45693,plain,
% 9.78/7.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s340, s341)) | trans(s340, s341))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s340, s341)) | trans(s340, s341))),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45694,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s340, s341)) | trans(s340, s341))),
% 9.78/7.24 inference(quant_inst,[status(thm)],[])).
% 9.78/7.24 tff(45695,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s340, s341)) | trans(s340, s341)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45694, 45693])).
% 9.78/7.24 tff(45696,plain,
% 9.78/7.24 (trans(s340, s341)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45695, 45692, 51])).
% 9.78/7.24 tff(45697,plain,
% 9.78/7.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s340, s341)) | (~always3(s340)) | always3(s341))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s340, s341)) | (~always3(s340)) | always3(s341))),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45698,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s340, s341)) | (~always3(s340)) | always3(s341))),
% 9.78/7.24 inference(quant_inst,[status(thm)],[])).
% 9.78/7.24 tff(45699,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s340, s341)) | (~always3(s340)) | always3(s341)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45698, 45697])).
% 9.78/7.24 tff(45700,plain,
% 9.78/7.24 ((~always3(s340)) | always3(s341)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45699, 68, 45696])).
% 9.78/7.24 tff(45701,plain,
% 9.78/7.24 (~always3(s340)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45700, 45689])).
% 9.78/7.24 tff(45702,plain,
% 9.78/7.24 (succ(s339, s340) <=> succ(s339, s340)),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45703,axiom,(succ(s339, s340)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound340')).
% 9.78/7.24 tff(45704,plain,
% 9.78/7.24 (succ(s339, s340)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45703, 45702])).
% 9.78/7.24 tff(45705,plain,
% 9.78/7.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s339, s340)) | trans(s339, s340))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s339, s340)) | trans(s339, s340))),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45706,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s339, s340)) | trans(s339, s340))),
% 9.78/7.24 inference(quant_inst,[status(thm)],[])).
% 9.78/7.24 tff(45707,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s339, s340)) | trans(s339, s340)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45706, 45705])).
% 9.78/7.24 tff(45708,plain,
% 9.78/7.24 (trans(s339, s340)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45707, 45704, 51])).
% 9.78/7.24 tff(45709,plain,
% 9.78/7.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s339, s340)) | (~always3(s339)) | always3(s340))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s339, s340)) | (~always3(s339)) | always3(s340))),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45710,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s339, s340)) | (~always3(s339)) | always3(s340))),
% 9.78/7.24 inference(quant_inst,[status(thm)],[])).
% 9.78/7.24 tff(45711,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s339, s340)) | (~always3(s339)) | always3(s340)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45710, 45709])).
% 9.78/7.24 tff(45712,plain,
% 9.78/7.24 ((~always3(s339)) | always3(s340)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45711, 68, 45708])).
% 9.78/7.24 tff(45713,plain,
% 9.78/7.24 (~always3(s339)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45712, 45701])).
% 9.78/7.24 tff(45714,plain,
% 9.78/7.24 (succ(s338, s339) <=> succ(s338, s339)),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45715,axiom,(succ(s338, s339)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound339')).
% 9.78/7.24 tff(45716,plain,
% 9.78/7.24 (succ(s338, s339)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45715, 45714])).
% 9.78/7.24 tff(45717,plain,
% 9.78/7.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s338, s339)) | trans(s338, s339))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s338, s339)) | trans(s338, s339))),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45718,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s338, s339)) | trans(s338, s339))),
% 9.78/7.24 inference(quant_inst,[status(thm)],[])).
% 9.78/7.24 tff(45719,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s338, s339)) | trans(s338, s339)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45718, 45717])).
% 9.78/7.24 tff(45720,plain,
% 9.78/7.24 (trans(s338, s339)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45719, 45716, 51])).
% 9.78/7.24 tff(45721,plain,
% 9.78/7.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s338, s339)) | (~always3(s338)) | always3(s339))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s338, s339)) | (~always3(s338)) | always3(s339))),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45722,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s338, s339)) | (~always3(s338)) | always3(s339))),
% 9.78/7.24 inference(quant_inst,[status(thm)],[])).
% 9.78/7.24 tff(45723,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s338, s339)) | (~always3(s338)) | always3(s339)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45722, 45721])).
% 9.78/7.24 tff(45724,plain,
% 9.78/7.24 ((~always3(s338)) | always3(s339)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45723, 68, 45720])).
% 9.78/7.24 tff(45725,plain,
% 9.78/7.24 (~always3(s338)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45724, 45713])).
% 9.78/7.24 tff(45726,plain,
% 9.78/7.24 (succ(s337, s338) <=> succ(s337, s338)),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45727,axiom,(succ(s337, s338)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound338')).
% 9.78/7.24 tff(45728,plain,
% 9.78/7.24 (succ(s337, s338)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45727, 45726])).
% 9.78/7.24 tff(45729,plain,
% 9.78/7.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s337, s338)) | trans(s337, s338))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s337, s338)) | trans(s337, s338))),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45730,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s337, s338)) | trans(s337, s338))),
% 9.78/7.24 inference(quant_inst,[status(thm)],[])).
% 9.78/7.24 tff(45731,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s337, s338)) | trans(s337, s338)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45730, 45729])).
% 9.78/7.24 tff(45732,plain,
% 9.78/7.24 (trans(s337, s338)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45731, 45728, 51])).
% 9.78/7.24 tff(45733,plain,
% 9.78/7.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s337, s338)) | (~always3(s337)) | always3(s338))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s337, s338)) | (~always3(s337)) | always3(s338))),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45734,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s337, s338)) | (~always3(s337)) | always3(s338))),
% 9.78/7.24 inference(quant_inst,[status(thm)],[])).
% 9.78/7.24 tff(45735,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s337, s338)) | (~always3(s337)) | always3(s338)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45734, 45733])).
% 9.78/7.24 tff(45736,plain,
% 9.78/7.24 ((~always3(s337)) | always3(s338)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45735, 68, 45732])).
% 9.78/7.24 tff(45737,plain,
% 9.78/7.24 (~always3(s337)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45736, 45725])).
% 9.78/7.24 tff(45738,plain,
% 9.78/7.24 (succ(s336, s337) <=> succ(s336, s337)),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45739,axiom,(succ(s336, s337)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound337')).
% 9.78/7.24 tff(45740,plain,
% 9.78/7.24 (succ(s336, s337)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45739, 45738])).
% 9.78/7.24 tff(45741,plain,
% 9.78/7.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s336, s337)) | trans(s336, s337))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s336, s337)) | trans(s336, s337))),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45742,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s336, s337)) | trans(s336, s337))),
% 9.78/7.24 inference(quant_inst,[status(thm)],[])).
% 9.78/7.24 tff(45743,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s336, s337)) | trans(s336, s337)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45742, 45741])).
% 9.78/7.24 tff(45744,plain,
% 9.78/7.24 (trans(s336, s337)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45743, 45740, 51])).
% 9.78/7.24 tff(45745,plain,
% 9.78/7.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s336, s337)) | (~always3(s336)) | always3(s337))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s336, s337)) | (~always3(s336)) | always3(s337))),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45746,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s336, s337)) | (~always3(s336)) | always3(s337))),
% 9.78/7.24 inference(quant_inst,[status(thm)],[])).
% 9.78/7.24 tff(45747,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s336, s337)) | (~always3(s336)) | always3(s337)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45746, 45745])).
% 9.78/7.24 tff(45748,plain,
% 9.78/7.24 ((~always3(s336)) | always3(s337)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45747, 68, 45744])).
% 9.78/7.24 tff(45749,plain,
% 9.78/7.24 (~always3(s336)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45748, 45737])).
% 9.78/7.24 tff(45750,plain,
% 9.78/7.24 (succ(s335, s336) <=> succ(s335, s336)),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45751,axiom,(succ(s335, s336)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound336')).
% 9.78/7.24 tff(45752,plain,
% 9.78/7.24 (succ(s335, s336)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45751, 45750])).
% 9.78/7.24 tff(45753,plain,
% 9.78/7.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s335, s336)) | trans(s335, s336))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s335, s336)) | trans(s335, s336))),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45754,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s335, s336)) | trans(s335, s336))),
% 9.78/7.24 inference(quant_inst,[status(thm)],[])).
% 9.78/7.24 tff(45755,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s335, s336)) | trans(s335, s336)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45754, 45753])).
% 9.78/7.24 tff(45756,plain,
% 9.78/7.24 (trans(s335, s336)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45755, 45752, 51])).
% 9.78/7.24 tff(45757,plain,
% 9.78/7.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s335, s336)) | (~always3(s335)) | always3(s336))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s335, s336)) | (~always3(s335)) | always3(s336))),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45758,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s335, s336)) | (~always3(s335)) | always3(s336))),
% 9.78/7.24 inference(quant_inst,[status(thm)],[])).
% 9.78/7.24 tff(45759,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s335, s336)) | (~always3(s335)) | always3(s336)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45758, 45757])).
% 9.78/7.24 tff(45760,plain,
% 9.78/7.24 ((~always3(s335)) | always3(s336)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45759, 68, 45756])).
% 9.78/7.24 tff(45761,plain,
% 9.78/7.24 (~always3(s335)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45760, 45749])).
% 9.78/7.24 tff(45762,plain,
% 9.78/7.24 (succ(s334, s335) <=> succ(s334, s335)),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45763,axiom,(succ(s334, s335)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound335')).
% 9.78/7.24 tff(45764,plain,
% 9.78/7.24 (succ(s334, s335)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45763, 45762])).
% 9.78/7.24 tff(45765,plain,
% 9.78/7.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s334, s335)) | trans(s334, s335))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s334, s335)) | trans(s334, s335))),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45766,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s334, s335)) | trans(s334, s335))),
% 9.78/7.24 inference(quant_inst,[status(thm)],[])).
% 9.78/7.24 tff(45767,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s334, s335)) | trans(s334, s335)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45766, 45765])).
% 9.78/7.24 tff(45768,plain,
% 9.78/7.24 (trans(s334, s335)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45767, 45764, 51])).
% 9.78/7.24 tff(45769,plain,
% 9.78/7.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s334, s335)) | (~always3(s334)) | always3(s335))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s334, s335)) | (~always3(s334)) | always3(s335))),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45770,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s334, s335)) | (~always3(s334)) | always3(s335))),
% 9.78/7.24 inference(quant_inst,[status(thm)],[])).
% 9.78/7.24 tff(45771,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s334, s335)) | (~always3(s334)) | always3(s335)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45770, 45769])).
% 9.78/7.24 tff(45772,plain,
% 9.78/7.24 ((~always3(s334)) | always3(s335)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45771, 68, 45768])).
% 9.78/7.24 tff(45773,plain,
% 9.78/7.24 (~always3(s334)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45772, 45761])).
% 9.78/7.24 tff(45774,plain,
% 9.78/7.24 (succ(s333, s334) <=> succ(s333, s334)),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45775,axiom,(succ(s333, s334)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound334')).
% 9.78/7.24 tff(45776,plain,
% 9.78/7.24 (succ(s333, s334)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45775, 45774])).
% 9.78/7.24 tff(45777,plain,
% 9.78/7.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s333, s334)) | trans(s333, s334))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s333, s334)) | trans(s333, s334))),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45778,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s333, s334)) | trans(s333, s334))),
% 9.78/7.24 inference(quant_inst,[status(thm)],[])).
% 9.78/7.24 tff(45779,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s333, s334)) | trans(s333, s334)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45778, 45777])).
% 9.78/7.24 tff(45780,plain,
% 9.78/7.24 (trans(s333, s334)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45779, 45776, 51])).
% 9.78/7.24 tff(45781,plain,
% 9.78/7.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s333, s334)) | (~always3(s333)) | always3(s334))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s333, s334)) | (~always3(s333)) | always3(s334))),
% 9.78/7.24 inference(rewrite,[status(thm)],[])).
% 9.78/7.24 tff(45782,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s333, s334)) | (~always3(s333)) | always3(s334))),
% 9.78/7.24 inference(quant_inst,[status(thm)],[])).
% 9.78/7.24 tff(45783,plain,
% 9.78/7.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s333, s334)) | (~always3(s333)) | always3(s334)),
% 9.78/7.24 inference(modus_ponens,[status(thm)],[45782, 45781])).
% 9.78/7.24 tff(45784,plain,
% 9.78/7.24 ((~always3(s333)) | always3(s334)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45783, 68, 45780])).
% 9.78/7.24 tff(45785,plain,
% 9.78/7.24 (~always3(s333)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[45784, 45773])).
% 9.78/7.24 tff(45786,plain,
% 9.78/7.24 (~always3(s332)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[44138, 45785])).
% 9.78/7.24 tff(45787,plain,
% 9.78/7.24 (~always3(s331)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[44051, 45786])).
% 9.78/7.24 tff(45788,plain,
% 9.78/7.24 (~always3(s330)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[43437, 45787])).
% 9.78/7.24 tff(45789,plain,
% 9.78/7.24 (~always3(s329)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[43352, 45788])).
% 9.78/7.24 tff(45790,plain,
% 9.78/7.24 (~always3(s328)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[42748, 45789])).
% 9.78/7.24 tff(45791,plain,
% 9.78/7.24 (~always3(s327)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[13207, 45790])).
% 9.78/7.24 tff(45792,plain,
% 9.78/7.24 (~always3(s326)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[12588, 45791])).
% 9.78/7.24 tff(45793,plain,
% 9.78/7.24 (~always3(s325)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[12633, 45792])).
% 9.78/7.24 tff(45794,plain,
% 9.78/7.24 (~always3(s324)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[12662, 45793])).
% 9.78/7.24 tff(45795,plain,
% 9.78/7.24 (~always3(s323)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[12691, 45794])).
% 9.78/7.24 tff(45796,plain,
% 9.78/7.24 (~always3(s322)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[12720, 45795])).
% 9.78/7.24 tff(45797,plain,
% 9.78/7.24 (~always3(s321)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[12749, 45796])).
% 9.78/7.24 tff(45798,plain,
% 9.78/7.24 (~always3(s320)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[12778, 45797])).
% 9.78/7.24 tff(45799,plain,
% 9.78/7.24 (~always3(s319)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[12807, 45798])).
% 9.78/7.24 tff(45800,plain,
% 9.78/7.24 (~always3(s318)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[12836, 45799])).
% 9.78/7.24 tff(45801,plain,
% 9.78/7.24 (~always3(s317)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[12865, 45800])).
% 9.78/7.24 tff(45802,plain,
% 9.78/7.24 (~always3(s316)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[12894, 45801])).
% 9.78/7.24 tff(45803,plain,
% 9.78/7.24 (~always3(s315)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5133, 45802])).
% 9.78/7.24 tff(45804,plain,
% 9.78/7.24 (~always3(s314)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5145, 45803])).
% 9.78/7.24 tff(45805,plain,
% 9.78/7.24 (~always3(s313)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5157, 45804])).
% 9.78/7.24 tff(45806,plain,
% 9.78/7.24 (~always3(s312)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5169, 45805])).
% 9.78/7.24 tff(45807,plain,
% 9.78/7.24 (~always3(s311)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5181, 45806])).
% 9.78/7.24 tff(45808,plain,
% 9.78/7.24 (~always3(s310)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5193, 45807])).
% 9.78/7.24 tff(45809,plain,
% 9.78/7.24 (~always3(s309)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5205, 45808])).
% 9.78/7.24 tff(45810,plain,
% 9.78/7.24 (~always3(s308)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5217, 45809])).
% 9.78/7.24 tff(45811,plain,
% 9.78/7.24 (~always3(s307)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5229, 45810])).
% 9.78/7.24 tff(45812,plain,
% 9.78/7.24 (~always3(s306)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5241, 45811])).
% 9.78/7.24 tff(45813,plain,
% 9.78/7.24 (~always3(s305)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5253, 45812])).
% 9.78/7.24 tff(45814,plain,
% 9.78/7.24 (~always3(s304)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5265, 45813])).
% 9.78/7.24 tff(45815,plain,
% 9.78/7.24 (~always3(s303)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5277, 45814])).
% 9.78/7.24 tff(45816,plain,
% 9.78/7.24 (~always3(s302)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5289, 45815])).
% 9.78/7.24 tff(45817,plain,
% 9.78/7.24 (~always3(s301)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5301, 45816])).
% 9.78/7.24 tff(45818,plain,
% 9.78/7.24 (~always3(s300)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5313, 45817])).
% 9.78/7.24 tff(45819,plain,
% 9.78/7.24 (~always3(s299)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5325, 45818])).
% 9.78/7.24 tff(45820,plain,
% 9.78/7.24 (~always3(s298)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5337, 45819])).
% 9.78/7.24 tff(45821,plain,
% 9.78/7.24 (~always3(s297)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5349, 45820])).
% 9.78/7.24 tff(45822,plain,
% 9.78/7.24 (~always3(s296)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5361, 45821])).
% 9.78/7.24 tff(45823,plain,
% 9.78/7.24 (~always3(s295)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5373, 45822])).
% 9.78/7.24 tff(45824,plain,
% 9.78/7.24 (~always3(s294)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5385, 45823])).
% 9.78/7.24 tff(45825,plain,
% 9.78/7.24 (~always3(s293)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5397, 45824])).
% 9.78/7.24 tff(45826,plain,
% 9.78/7.24 (~always3(s292)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5409, 45825])).
% 9.78/7.24 tff(45827,plain,
% 9.78/7.24 (~always3(s291)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5421, 45826])).
% 9.78/7.24 tff(45828,plain,
% 9.78/7.24 (~always3(s290)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5433, 45827])).
% 9.78/7.24 tff(45829,plain,
% 9.78/7.24 (~always3(s289)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5445, 45828])).
% 9.78/7.24 tff(45830,plain,
% 9.78/7.24 (~always3(s288)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5457, 45829])).
% 9.78/7.24 tff(45831,plain,
% 9.78/7.24 (~always3(s287)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5469, 45830])).
% 9.78/7.24 tff(45832,plain,
% 9.78/7.24 (~always3(s286)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5481, 45831])).
% 9.78/7.24 tff(45833,plain,
% 9.78/7.24 (~always3(s285)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5493, 45832])).
% 9.78/7.24 tff(45834,plain,
% 9.78/7.24 (~always3(s284)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5505, 45833])).
% 9.78/7.24 tff(45835,plain,
% 9.78/7.24 (~always3(s283)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5517, 45834])).
% 9.78/7.24 tff(45836,plain,
% 9.78/7.24 (~always3(s282)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5529, 45835])).
% 9.78/7.24 tff(45837,plain,
% 9.78/7.24 (~always3(s281)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5541, 45836])).
% 9.78/7.24 tff(45838,plain,
% 9.78/7.24 (~always3(s280)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5553, 45837])).
% 9.78/7.24 tff(45839,plain,
% 9.78/7.24 (~always3(s279)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5565, 45838])).
% 9.78/7.24 tff(45840,plain,
% 9.78/7.24 (~always3(s278)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5577, 45839])).
% 9.78/7.24 tff(45841,plain,
% 9.78/7.24 (~always3(s277)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5589, 45840])).
% 9.78/7.24 tff(45842,plain,
% 9.78/7.24 (~always3(s276)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5601, 45841])).
% 9.78/7.24 tff(45843,plain,
% 9.78/7.24 (~always3(s275)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5613, 45842])).
% 9.78/7.24 tff(45844,plain,
% 9.78/7.24 (~always3(s274)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5625, 45843])).
% 9.78/7.24 tff(45845,plain,
% 9.78/7.24 (~always3(s273)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5637, 45844])).
% 9.78/7.24 tff(45846,plain,
% 9.78/7.24 (~always3(s272)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5649, 45845])).
% 9.78/7.24 tff(45847,plain,
% 9.78/7.24 (~always3(s271)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5661, 45846])).
% 9.78/7.24 tff(45848,plain,
% 9.78/7.24 (~always3(s270)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5673, 45847])).
% 9.78/7.24 tff(45849,plain,
% 9.78/7.24 (~always3(s269)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5685, 45848])).
% 9.78/7.24 tff(45850,plain,
% 9.78/7.24 (~always3(s268)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5697, 45849])).
% 9.78/7.24 tff(45851,plain,
% 9.78/7.24 (~always3(s267)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5709, 45850])).
% 9.78/7.24 tff(45852,plain,
% 9.78/7.24 (~always3(s266)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5721, 45851])).
% 9.78/7.24 tff(45853,plain,
% 9.78/7.24 (~always3(s265)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5733, 45852])).
% 9.78/7.24 tff(45854,plain,
% 9.78/7.24 (~always3(s264)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5745, 45853])).
% 9.78/7.24 tff(45855,plain,
% 9.78/7.24 (~always3(s263)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5757, 45854])).
% 9.78/7.24 tff(45856,plain,
% 9.78/7.24 (~always3(s262)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5769, 45855])).
% 9.78/7.24 tff(45857,plain,
% 9.78/7.24 (~always3(s261)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5781, 45856])).
% 9.78/7.24 tff(45858,plain,
% 9.78/7.24 (~always3(s260)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5793, 45857])).
% 9.78/7.24 tff(45859,plain,
% 9.78/7.24 (~always3(s259)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5805, 45858])).
% 9.78/7.24 tff(45860,plain,
% 9.78/7.24 (~always3(s258)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5817, 45859])).
% 9.78/7.24 tff(45861,plain,
% 9.78/7.24 (~always3(s257)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5829, 45860])).
% 9.78/7.24 tff(45862,plain,
% 9.78/7.24 (~always3(s256)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5841, 45861])).
% 9.78/7.24 tff(45863,plain,
% 9.78/7.24 (~always3(s255)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5853, 45862])).
% 9.78/7.24 tff(45864,plain,
% 9.78/7.24 (~always3(s254)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5865, 45863])).
% 9.78/7.24 tff(45865,plain,
% 9.78/7.24 (~always3(s253)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5092, 45864])).
% 9.78/7.24 tff(45866,plain,
% 9.78/7.24 (~always3(s252)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5878, 45865])).
% 9.78/7.24 tff(45867,plain,
% 9.78/7.24 (~always3(s251)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5890, 45866])).
% 9.78/7.24 tff(45868,plain,
% 9.78/7.24 (~always3(s250)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5902, 45867])).
% 9.78/7.24 tff(45869,plain,
% 9.78/7.24 (~always3(s249)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5914, 45868])).
% 9.78/7.24 tff(45870,plain,
% 9.78/7.24 (~always3(s248)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5926, 45869])).
% 9.78/7.24 tff(45871,plain,
% 9.78/7.24 (~always3(s247)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5938, 45870])).
% 9.78/7.24 tff(45872,plain,
% 9.78/7.24 (~always3(s246)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5950, 45871])).
% 9.78/7.24 tff(45873,plain,
% 9.78/7.24 (~always3(s245)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5962, 45872])).
% 9.78/7.24 tff(45874,plain,
% 9.78/7.24 (~always3(s244)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5974, 45873])).
% 9.78/7.24 tff(45875,plain,
% 9.78/7.24 (~always3(s243)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5986, 45874])).
% 9.78/7.24 tff(45876,plain,
% 9.78/7.24 (~always3(s242)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5998, 45875])).
% 9.78/7.24 tff(45877,plain,
% 9.78/7.24 (~always3(s241)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6010, 45876])).
% 9.78/7.24 tff(45878,plain,
% 9.78/7.24 (~always3(s240)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6022, 45877])).
% 9.78/7.24 tff(45879,plain,
% 9.78/7.24 (~always3(s239)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6034, 45878])).
% 9.78/7.24 tff(45880,plain,
% 9.78/7.24 (~always3(s238)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6046, 45879])).
% 9.78/7.24 tff(45881,plain,
% 9.78/7.24 (~always3(s237)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6058, 45880])).
% 9.78/7.24 tff(45882,plain,
% 9.78/7.24 (~always3(s236)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6070, 45881])).
% 9.78/7.24 tff(45883,plain,
% 9.78/7.24 (~always3(s235)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6082, 45882])).
% 9.78/7.24 tff(45884,plain,
% 9.78/7.24 (~always3(s234)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6094, 45883])).
% 9.78/7.24 tff(45885,plain,
% 9.78/7.24 (~always3(s233)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6106, 45884])).
% 9.78/7.24 tff(45886,plain,
% 9.78/7.24 (~always3(s232)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6118, 45885])).
% 9.78/7.24 tff(45887,plain,
% 9.78/7.24 (~always3(s231)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6130, 45886])).
% 9.78/7.24 tff(45888,plain,
% 9.78/7.24 (~always3(s230)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6142, 45887])).
% 9.78/7.24 tff(45889,plain,
% 9.78/7.24 (~always3(s229)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6154, 45888])).
% 9.78/7.24 tff(45890,plain,
% 9.78/7.24 (~always3(s228)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6166, 45889])).
% 9.78/7.24 tff(45891,plain,
% 9.78/7.24 (~always3(s227)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6178, 45890])).
% 9.78/7.24 tff(45892,plain,
% 9.78/7.24 (~always3(s226)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6190, 45891])).
% 9.78/7.24 tff(45893,plain,
% 9.78/7.24 (~always3(s225)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6202, 45892])).
% 9.78/7.24 tff(45894,plain,
% 9.78/7.24 (~always3(s224)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6214, 45893])).
% 9.78/7.24 tff(45895,plain,
% 9.78/7.24 (~always3(s223)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6226, 45894])).
% 9.78/7.24 tff(45896,plain,
% 9.78/7.24 (~always3(s222)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6238, 45895])).
% 9.78/7.24 tff(45897,plain,
% 9.78/7.24 (~always3(s221)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6250, 45896])).
% 9.78/7.24 tff(45898,plain,
% 9.78/7.24 (~always3(s220)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6262, 45897])).
% 9.78/7.24 tff(45899,plain,
% 9.78/7.24 (~always3(s219)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6274, 45898])).
% 9.78/7.24 tff(45900,plain,
% 9.78/7.24 (~always3(s218)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6286, 45899])).
% 9.78/7.24 tff(45901,plain,
% 9.78/7.24 (~always3(s217)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6298, 45900])).
% 9.78/7.24 tff(45902,plain,
% 9.78/7.24 (~always3(s216)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6314, 45901])).
% 9.78/7.24 tff(45903,plain,
% 9.78/7.24 (~always3(s215)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6331, 45902])).
% 9.78/7.24 tff(45904,plain,
% 9.78/7.24 (~always3(s214)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6344, 45903])).
% 9.78/7.24 tff(45905,plain,
% 9.78/7.24 (~always3(s213)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6390, 45904])).
% 9.78/7.24 tff(45906,plain,
% 9.78/7.24 (~always3(s212)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6419, 45905])).
% 9.78/7.24 tff(45907,plain,
% 9.78/7.24 (~always3(s211)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6448, 45906])).
% 9.78/7.24 tff(45908,plain,
% 9.78/7.24 (~always3(s210)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6477, 45907])).
% 9.78/7.24 tff(45909,plain,
% 9.78/7.24 (~always3(s209)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6506, 45908])).
% 9.78/7.24 tff(45910,plain,
% 9.78/7.24 (~always3(s208)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6535, 45909])).
% 9.78/7.24 tff(45911,plain,
% 9.78/7.24 (~always3(s207)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6564, 45910])).
% 9.78/7.24 tff(45912,plain,
% 9.78/7.24 (~always3(s206)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6593, 45911])).
% 9.78/7.24 tff(45913,plain,
% 9.78/7.24 (~always3(s205)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6622, 45912])).
% 9.78/7.24 tff(45914,plain,
% 9.78/7.24 (~always3(s204)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6651, 45913])).
% 9.78/7.24 tff(45915,plain,
% 9.78/7.24 (~always3(s203)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6680, 45914])).
% 9.78/7.24 tff(45916,plain,
% 9.78/7.24 (~always3(s202)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6709, 45915])).
% 9.78/7.24 tff(45917,plain,
% 9.78/7.24 (~always3(s201)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6738, 45916])).
% 9.78/7.24 tff(45918,plain,
% 9.78/7.24 (~always3(s200)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6767, 45917])).
% 9.78/7.24 tff(45919,plain,
% 9.78/7.24 (~always3(s199)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6796, 45918])).
% 9.78/7.24 tff(45920,plain,
% 9.78/7.24 (~always3(s198)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6825, 45919])).
% 9.78/7.24 tff(45921,plain,
% 9.78/7.24 (~always3(s197)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6854, 45920])).
% 9.78/7.24 tff(45922,plain,
% 9.78/7.24 (~always3(s196)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6883, 45921])).
% 9.78/7.24 tff(45923,plain,
% 9.78/7.24 (~always3(s195)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6912, 45922])).
% 9.78/7.24 tff(45924,plain,
% 9.78/7.24 (~always3(s194)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6941, 45923])).
% 9.78/7.24 tff(45925,plain,
% 9.78/7.24 (~always3(s193)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6970, 45924])).
% 9.78/7.24 tff(45926,plain,
% 9.78/7.24 (~always3(s192)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[6999, 45925])).
% 9.78/7.24 tff(45927,plain,
% 9.78/7.24 (~always3(s191)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7028, 45926])).
% 9.78/7.24 tff(45928,plain,
% 9.78/7.24 (~always3(s190)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7057, 45927])).
% 9.78/7.24 tff(45929,plain,
% 9.78/7.24 (~always3(s189)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7086, 45928])).
% 9.78/7.24 tff(45930,plain,
% 9.78/7.24 (~always3(s188)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7115, 45929])).
% 9.78/7.24 tff(45931,plain,
% 9.78/7.24 (~always3(s187)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7144, 45930])).
% 9.78/7.24 tff(45932,plain,
% 9.78/7.24 (~always3(s186)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7173, 45931])).
% 9.78/7.24 tff(45933,plain,
% 9.78/7.24 (~always3(s185)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7202, 45932])).
% 9.78/7.24 tff(45934,plain,
% 9.78/7.24 (~always3(s184)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7231, 45933])).
% 9.78/7.24 tff(45935,plain,
% 9.78/7.24 (~always3(s183)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7260, 45934])).
% 9.78/7.24 tff(45936,plain,
% 9.78/7.24 (~always3(s182)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7289, 45935])).
% 9.78/7.24 tff(45937,plain,
% 9.78/7.24 (~always3(s181)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7318, 45936])).
% 9.78/7.24 tff(45938,plain,
% 9.78/7.24 (~always3(s180)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7347, 45937])).
% 9.78/7.24 tff(45939,plain,
% 9.78/7.24 (~always3(s179)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7376, 45938])).
% 9.78/7.24 tff(45940,plain,
% 9.78/7.24 (~always3(s178)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7405, 45939])).
% 9.78/7.24 tff(45941,plain,
% 9.78/7.24 (~always3(s177)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7434, 45940])).
% 9.78/7.24 tff(45942,plain,
% 9.78/7.24 (~always3(s176)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7463, 45941])).
% 9.78/7.24 tff(45943,plain,
% 9.78/7.24 (~always3(s175)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7492, 45942])).
% 9.78/7.24 tff(45944,plain,
% 9.78/7.24 (~always3(s174)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7521, 45943])).
% 9.78/7.24 tff(45945,plain,
% 9.78/7.24 (~always3(s173)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7550, 45944])).
% 9.78/7.24 tff(45946,plain,
% 9.78/7.24 (~always3(s172)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7579, 45945])).
% 9.78/7.24 tff(45947,plain,
% 9.78/7.24 (~always3(s171)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7608, 45946])).
% 9.78/7.24 tff(45948,plain,
% 9.78/7.24 (~always3(s170)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7637, 45947])).
% 9.78/7.24 tff(45949,plain,
% 9.78/7.24 (~always3(s169)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7666, 45948])).
% 9.78/7.24 tff(45950,plain,
% 9.78/7.24 (~always3(s168)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7695, 45949])).
% 9.78/7.24 tff(45951,plain,
% 9.78/7.24 (~always3(s167)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7724, 45950])).
% 9.78/7.24 tff(45952,plain,
% 9.78/7.24 (~always3(s166)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7753, 45951])).
% 9.78/7.24 tff(45953,plain,
% 9.78/7.24 (~always3(s165)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7782, 45952])).
% 9.78/7.24 tff(45954,plain,
% 9.78/7.24 (~always3(s164)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7811, 45953])).
% 9.78/7.24 tff(45955,plain,
% 9.78/7.24 (~always3(s163)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7840, 45954])).
% 9.78/7.24 tff(45956,plain,
% 9.78/7.24 (~always3(s162)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7869, 45955])).
% 9.78/7.24 tff(45957,plain,
% 9.78/7.24 (~always3(s161)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7898, 45956])).
% 9.78/7.24 tff(45958,plain,
% 9.78/7.24 (~always3(s160)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7927, 45957])).
% 9.78/7.24 tff(45959,plain,
% 9.78/7.24 (~always3(s159)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7956, 45958])).
% 9.78/7.24 tff(45960,plain,
% 9.78/7.24 (~always3(s158)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[7985, 45959])).
% 9.78/7.24 tff(45961,plain,
% 9.78/7.24 (~always3(s157)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8014, 45960])).
% 9.78/7.24 tff(45962,plain,
% 9.78/7.24 (~always3(s156)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8043, 45961])).
% 9.78/7.24 tff(45963,plain,
% 9.78/7.24 (~always3(s155)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8072, 45962])).
% 9.78/7.24 tff(45964,plain,
% 9.78/7.24 (~always3(s154)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8101, 45963])).
% 9.78/7.24 tff(45965,plain,
% 9.78/7.24 (~always3(s153)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8130, 45964])).
% 9.78/7.24 tff(45966,plain,
% 9.78/7.24 (~always3(s152)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8159, 45965])).
% 9.78/7.24 tff(45967,plain,
% 9.78/7.24 (~always3(s151)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8188, 45966])).
% 9.78/7.24 tff(45968,plain,
% 9.78/7.24 (~always3(s150)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8217, 45967])).
% 9.78/7.24 tff(45969,plain,
% 9.78/7.24 (~always3(s149)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8246, 45968])).
% 9.78/7.24 tff(45970,plain,
% 9.78/7.24 (~always3(s148)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8275, 45969])).
% 9.78/7.24 tff(45971,plain,
% 9.78/7.24 (~always3(s147)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8304, 45970])).
% 9.78/7.24 tff(45972,plain,
% 9.78/7.24 (~always3(s146)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8333, 45971])).
% 9.78/7.24 tff(45973,plain,
% 9.78/7.24 (~always3(s145)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8362, 45972])).
% 9.78/7.24 tff(45974,plain,
% 9.78/7.24 (~always3(s144)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8391, 45973])).
% 9.78/7.24 tff(45975,plain,
% 9.78/7.24 (~always3(s143)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8420, 45974])).
% 9.78/7.24 tff(45976,plain,
% 9.78/7.24 (~always3(s142)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8449, 45975])).
% 9.78/7.24 tff(45977,plain,
% 9.78/7.24 (~always3(s141)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8478, 45976])).
% 9.78/7.24 tff(45978,plain,
% 9.78/7.24 (~always3(s140)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8507, 45977])).
% 9.78/7.24 tff(45979,plain,
% 9.78/7.24 (~always3(s139)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8536, 45978])).
% 9.78/7.24 tff(45980,plain,
% 9.78/7.24 (~always3(s138)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8565, 45979])).
% 9.78/7.24 tff(45981,plain,
% 9.78/7.24 (~always3(s137)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8594, 45980])).
% 9.78/7.24 tff(45982,plain,
% 9.78/7.24 (~always3(s136)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8618, 45981])).
% 9.78/7.24 tff(45983,plain,
% 9.78/7.24 (~always3(s135)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8630, 45982])).
% 9.78/7.24 tff(45984,plain,
% 9.78/7.24 (~always3(s134)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8642, 45983])).
% 9.78/7.24 tff(45985,plain,
% 9.78/7.24 (~always3(s133)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8654, 45984])).
% 9.78/7.24 tff(45986,plain,
% 9.78/7.24 (~always3(s132)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8666, 45985])).
% 9.78/7.24 tff(45987,plain,
% 9.78/7.24 (~always3(s131)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8678, 45986])).
% 9.78/7.24 tff(45988,plain,
% 9.78/7.24 (~always3(s130)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8690, 45987])).
% 9.78/7.24 tff(45989,plain,
% 9.78/7.24 (~always3(s129)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8702, 45988])).
% 9.78/7.24 tff(45990,plain,
% 9.78/7.24 (~always3(s128)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8714, 45989])).
% 9.78/7.24 tff(45991,plain,
% 9.78/7.24 (~always3(s127)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8726, 45990])).
% 9.78/7.24 tff(45992,plain,
% 9.78/7.24 (~always3(s126)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8738, 45991])).
% 9.78/7.24 tff(45993,plain,
% 9.78/7.24 (~always3(s125)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8750, 45992])).
% 9.78/7.24 tff(45994,plain,
% 9.78/7.24 (~always3(s124)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8762, 45993])).
% 9.78/7.24 tff(45995,plain,
% 9.78/7.24 (~always3(s123)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8774, 45994])).
% 9.78/7.24 tff(45996,plain,
% 9.78/7.24 (~always3(s122)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8786, 45995])).
% 9.78/7.24 tff(45997,plain,
% 9.78/7.24 (~always3(s121)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8798, 45996])).
% 9.78/7.24 tff(45998,plain,
% 9.78/7.24 (~always3(s120)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8810, 45997])).
% 9.78/7.24 tff(45999,plain,
% 9.78/7.24 (~always3(s119)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8822, 45998])).
% 9.78/7.24 tff(46000,plain,
% 9.78/7.24 (~always3(s118)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8834, 45999])).
% 9.78/7.24 tff(46001,plain,
% 9.78/7.24 (~always3(s117)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8846, 46000])).
% 9.78/7.24 tff(46002,plain,
% 9.78/7.24 (~always3(s116)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8858, 46001])).
% 9.78/7.24 tff(46003,plain,
% 9.78/7.24 (~always3(s115)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8870, 46002])).
% 9.78/7.24 tff(46004,plain,
% 9.78/7.24 (~always3(s114)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8882, 46003])).
% 9.78/7.24 tff(46005,plain,
% 9.78/7.24 (~always3(s113)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8894, 46004])).
% 9.78/7.24 tff(46006,plain,
% 9.78/7.24 (~always3(s112)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8906, 46005])).
% 9.78/7.24 tff(46007,plain,
% 9.78/7.24 (~always3(s111)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8918, 46006])).
% 9.78/7.24 tff(46008,plain,
% 9.78/7.24 (~always3(s110)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8930, 46007])).
% 9.78/7.24 tff(46009,plain,
% 9.78/7.24 (~always3(s109)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8942, 46008])).
% 9.78/7.24 tff(46010,plain,
% 9.78/7.24 (~always3(s108)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8954, 46009])).
% 9.78/7.24 tff(46011,plain,
% 9.78/7.24 (~always3(s107)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8966, 46010])).
% 9.78/7.24 tff(46012,plain,
% 9.78/7.24 (~always3(s106)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8978, 46011])).
% 9.78/7.24 tff(46013,plain,
% 9.78/7.24 (~always3(s105)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[8990, 46012])).
% 9.78/7.24 tff(46014,plain,
% 9.78/7.24 (~always3(s104)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9002, 46013])).
% 9.78/7.24 tff(46015,plain,
% 9.78/7.24 (~always3(s103)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9014, 46014])).
% 9.78/7.24 tff(46016,plain,
% 9.78/7.24 (~always3(s102)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9026, 46015])).
% 9.78/7.24 tff(46017,plain,
% 9.78/7.24 (~always3(s101)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9038, 46016])).
% 9.78/7.24 tff(46018,plain,
% 9.78/7.24 (~always3(s100)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9050, 46017])).
% 9.78/7.24 tff(46019,plain,
% 9.78/7.24 (~always3(s99)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9062, 46018])).
% 9.78/7.24 tff(46020,plain,
% 9.78/7.24 (~always3(s98)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9074, 46019])).
% 9.78/7.24 tff(46021,plain,
% 9.78/7.24 (~always3(s97)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9086, 46020])).
% 9.78/7.24 tff(46022,plain,
% 9.78/7.24 (~always3(s96)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9098, 46021])).
% 9.78/7.24 tff(46023,plain,
% 9.78/7.24 (~always3(s95)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9110, 46022])).
% 9.78/7.24 tff(46024,plain,
% 9.78/7.24 (~always3(s94)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9122, 46023])).
% 9.78/7.24 tff(46025,plain,
% 9.78/7.24 (~always3(s93)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9134, 46024])).
% 9.78/7.24 tff(46026,plain,
% 9.78/7.24 (~always3(s92)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9146, 46025])).
% 9.78/7.24 tff(46027,plain,
% 9.78/7.24 (~always3(s91)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9158, 46026])).
% 9.78/7.24 tff(46028,plain,
% 9.78/7.24 (~always3(s90)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9170, 46027])).
% 9.78/7.24 tff(46029,plain,
% 9.78/7.24 (~always3(s89)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9182, 46028])).
% 9.78/7.24 tff(46030,plain,
% 9.78/7.24 (~always3(s88)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9194, 46029])).
% 9.78/7.24 tff(46031,plain,
% 9.78/7.24 (~always3(s87)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9206, 46030])).
% 9.78/7.24 tff(46032,plain,
% 9.78/7.24 (~always3(s86)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9218, 46031])).
% 9.78/7.24 tff(46033,plain,
% 9.78/7.24 (~always3(s85)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9230, 46032])).
% 9.78/7.24 tff(46034,plain,
% 9.78/7.24 (~always3(s84)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9242, 46033])).
% 9.78/7.24 tff(46035,plain,
% 9.78/7.24 (~always3(s83)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9254, 46034])).
% 9.78/7.24 tff(46036,plain,
% 9.78/7.24 (~always3(s82)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9266, 46035])).
% 9.78/7.24 tff(46037,plain,
% 9.78/7.24 (~always3(s81)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9278, 46036])).
% 9.78/7.24 tff(46038,plain,
% 9.78/7.24 (~always3(s80)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9290, 46037])).
% 9.78/7.24 tff(46039,plain,
% 9.78/7.24 (~always3(s79)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9302, 46038])).
% 9.78/7.24 tff(46040,plain,
% 9.78/7.24 (~always3(s78)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9314, 46039])).
% 9.78/7.24 tff(46041,plain,
% 9.78/7.24 (~always3(s77)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9326, 46040])).
% 9.78/7.24 tff(46042,plain,
% 9.78/7.24 (~always3(s76)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9338, 46041])).
% 9.78/7.24 tff(46043,plain,
% 9.78/7.24 (~always3(s75)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9350, 46042])).
% 9.78/7.24 tff(46044,plain,
% 9.78/7.24 (~always3(s74)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9362, 46043])).
% 9.78/7.24 tff(46045,plain,
% 9.78/7.24 (~always3(s73)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9374, 46044])).
% 9.78/7.24 tff(46046,plain,
% 9.78/7.24 (~always3(s72)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9386, 46045])).
% 9.78/7.24 tff(46047,plain,
% 9.78/7.24 (~always3(s71)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9398, 46046])).
% 9.78/7.24 tff(46048,plain,
% 9.78/7.24 (~always3(s70)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9410, 46047])).
% 9.78/7.24 tff(46049,plain,
% 9.78/7.24 (~always3(s69)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9422, 46048])).
% 9.78/7.24 tff(46050,plain,
% 9.78/7.24 (~always3(s68)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9434, 46049])).
% 9.78/7.24 tff(46051,plain,
% 9.78/7.24 (~always3(s67)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9446, 46050])).
% 9.78/7.24 tff(46052,plain,
% 9.78/7.24 (~always3(s66)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9458, 46051])).
% 9.78/7.24 tff(46053,plain,
% 9.78/7.24 (~always3(s65)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9470, 46052])).
% 9.78/7.24 tff(46054,plain,
% 9.78/7.24 (~always3(s64)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9482, 46053])).
% 9.78/7.24 tff(46055,plain,
% 9.78/7.24 (~always3(s63)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9494, 46054])).
% 9.78/7.24 tff(46056,plain,
% 9.78/7.24 (~always3(s62)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9506, 46055])).
% 9.78/7.24 tff(46057,plain,
% 9.78/7.24 (~always3(s61)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9518, 46056])).
% 9.78/7.24 tff(46058,plain,
% 9.78/7.24 (~always3(s60)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9530, 46057])).
% 9.78/7.24 tff(46059,plain,
% 9.78/7.24 (~always3(s59)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9542, 46058])).
% 9.78/7.24 tff(46060,plain,
% 9.78/7.24 (~always3(s58)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9558, 46059])).
% 9.78/7.24 tff(46061,plain,
% 9.78/7.24 (~always3(s57)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5004, 46060])).
% 9.78/7.24 tff(46062,plain,
% 9.78/7.24 (~always3(s56)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4870, 46061])).
% 9.78/7.24 tff(46063,plain,
% 9.78/7.24 (~always3(s55)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4750, 46062])).
% 9.78/7.24 tff(46064,plain,
% 9.78/7.24 (~always3(s54)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4602, 46063])).
% 9.78/7.24 tff(46065,plain,
% 9.78/7.24 (~always3(s53)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4647, 46064])).
% 9.78/7.24 tff(46066,plain,
% 9.78/7.24 (~always3(s52)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4521, 46065])).
% 9.78/7.24 tff(46067,plain,
% 9.78/7.24 (~always3(s51)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4412, 46066])).
% 9.78/7.24 tff(46068,plain,
% 9.78/7.24 (~always3(s50)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4363, 46067])).
% 9.78/7.24 tff(46069,plain,
% 9.78/7.24 (~always3(s49)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3944, 46068])).
% 9.78/7.24 tff(46070,plain,
% 9.78/7.24 (~always3(s48)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3754, 46069])).
% 9.78/7.24 tff(46071,plain,
% 9.78/7.24 (~always3(s47)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3799, 46070])).
% 9.78/7.24 tff(46072,plain,
% 9.78/7.24 (~always3(s46)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3828, 46071])).
% 9.78/7.24 tff(46073,plain,
% 9.78/7.24 (~always3(s45)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3857, 46072])).
% 9.78/7.24 tff(46074,plain,
% 9.78/7.24 (~always3(s44)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3886, 46073])).
% 9.78/7.24 tff(46075,plain,
% 9.78/7.24 (~always3(s43)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3705, 46074])).
% 9.78/7.24 tff(46076,plain,
% 9.78/7.24 (~always3(s42)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3618, 46075])).
% 9.78/7.24 tff(46077,plain,
% 9.78/7.24 (~always3(s41)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3559, 46076])).
% 9.78/7.24 tff(46078,plain,
% 9.78/7.24 (~always3(s40)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3474, 46077])).
% 9.78/7.24 tff(46079,plain,
% 9.78/7.24 (~always3(s39)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3424, 46078])).
% 9.78/7.24 tff(46080,plain,
% 9.78/7.24 (~node4(s39)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3428, 22, 46079])).
% 9.78/7.24 tff(46081,plain,
% 9.78/7.24 (~always3(s38)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3233, 46079])).
% 9.78/7.24 tff(46082,plain,
% 9.78/7.24 (~node4(s38)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3219, 22, 46081])).
% 9.78/7.24 tff(46083,plain,
% 9.78/7.24 (~always3(s37)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[2932, 46081])).
% 9.78/7.24 tff(46084,plain,
% 9.78/7.24 (xuntil6(s37)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3202, 46083])).
% 9.78/7.24 tff(46085,plain,
% 9.78/7.24 (until5(s38)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3207, 46084])).
% 9.78/7.24 tff(46086,plain,
% 9.78/7.24 (xuntil6(s38) | node4(s38)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3214, 36, 46085])).
% 9.78/7.24 tff(46087,plain,
% 9.78/7.24 (xuntil6(s38)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[46086, 46082])).
% 9.78/7.24 tff(46088,plain,
% 9.78/7.24 (until5(s39)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3410, 46087])).
% 9.78/7.24 tff(46089,plain,
% 9.78/7.24 (xuntil6(s39)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3460, 36, 46088, 46080])).
% 9.78/7.24 tff(46090,plain,
% 9.78/7.24 (until5(s40)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3445, 46089])).
% 9.78/7.24 tff(46091,plain,
% 9.78/7.24 (~node4(s40)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3432, 22, 46078])).
% 9.78/7.24 tff(46092,plain,
% 9.78/7.24 (xuntil6(s40) | (~until5(s40))),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3439, 36, 46091])).
% 9.78/7.24 tff(46093,plain,
% 9.78/7.24 (xuntil6(s40)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[46092, 46090])).
% 9.78/7.24 tff(46094,plain,
% 9.78/7.24 (until5(s41)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3545, 46093])).
% 9.78/7.24 tff(46095,plain,
% 9.78/7.24 (~node4(s41)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3563, 22, 46077])).
% 9.78/7.24 tff(46096,plain,
% 9.78/7.24 (xuntil6(s41) | (~until5(s41))),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3587, 36, 46095])).
% 9.78/7.24 tff(46097,plain,
% 9.78/7.24 (xuntil6(s41)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[46096, 46094])).
% 9.78/7.24 tff(46098,plain,
% 9.78/7.24 (until5(s42)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3580, 46097])).
% 9.78/7.24 tff(46099,plain,
% 9.78/7.24 (~node4(s42)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3567, 22, 46076])).
% 9.78/7.24 tff(46100,plain,
% 9.78/7.24 (xuntil6(s42) | (~until5(s42))),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3574, 36, 46099])).
% 9.78/7.24 tff(46101,plain,
% 9.78/7.24 (xuntil6(s42)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[46100, 46098])).
% 9.78/7.24 tff(46102,plain,
% 9.78/7.24 (until5(s43)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3684, 46101])).
% 9.78/7.24 tff(46103,plain,
% 9.78/7.24 (~node4(s43)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3693, 22, 46075])).
% 9.78/7.24 tff(46104,plain,
% 9.78/7.24 (xuntil6(s43) | (~until5(s43))),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3734, 36, 46103])).
% 9.78/7.24 tff(46105,plain,
% 9.78/7.24 (xuntil6(s43)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[46104, 46102])).
% 9.78/7.24 tff(46106,plain,
% 9.78/7.24 (until5(s44)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3740, 46105])).
% 9.78/7.24 tff(46107,plain,
% 9.78/7.24 (~node4(s44)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3890, 22, 46074])).
% 9.78/7.24 tff(46108,plain,
% 9.78/7.24 (xuntil6(s44) | (~until5(s44))),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3897, 36, 46107])).
% 9.78/7.24 tff(46109,plain,
% 9.78/7.24 (xuntil6(s44)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[46108, 46106])).
% 9.78/7.24 tff(46110,plain,
% 9.78/7.24 (until5(s45)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3877, 46109])).
% 9.78/7.24 tff(46111,plain,
% 9.78/7.24 (~node4(s45)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3861, 22, 46073])).
% 9.78/7.24 tff(46112,plain,
% 9.78/7.24 (xuntil6(s45) | (~until5(s45))),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3868, 36, 46111])).
% 9.78/7.24 tff(46113,plain,
% 9.78/7.24 (xuntil6(s45)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[46112, 46110])).
% 9.78/7.24 tff(46114,plain,
% 9.78/7.24 (until5(s46)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3848, 46113])).
% 9.78/7.24 tff(46115,plain,
% 9.78/7.24 (~node4(s46)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3832, 22, 46072])).
% 9.78/7.24 tff(46116,plain,
% 9.78/7.24 (xuntil6(s46) | (~until5(s46))),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3839, 36, 46115])).
% 9.78/7.24 tff(46117,plain,
% 9.78/7.24 (xuntil6(s46)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[46116, 46114])).
% 9.78/7.24 tff(46118,plain,
% 9.78/7.24 (until5(s47)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3819, 46117])).
% 9.78/7.24 tff(46119,plain,
% 9.78/7.24 (~node4(s47)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3803, 22, 46071])).
% 9.78/7.24 tff(46120,plain,
% 9.78/7.24 (xuntil6(s47) | (~until5(s47))),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3810, 36, 46119])).
% 9.78/7.24 tff(46121,plain,
% 9.78/7.24 (xuntil6(s47)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[46120, 46118])).
% 9.78/7.24 tff(46122,plain,
% 9.78/7.24 (until5(s48)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3790, 46121])).
% 9.78/7.24 tff(46123,plain,
% 9.78/7.24 (~node4(s48)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3758, 22, 46070])).
% 9.78/7.24 tff(46124,plain,
% 9.78/7.24 (xuntil6(s48) | (~until5(s48))),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3782, 36, 46123])).
% 9.78/7.24 tff(46125,plain,
% 9.78/7.24 (xuntil6(s48)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[46124, 46122])).
% 9.78/7.24 tff(46126,plain,
% 9.78/7.24 (until5(s49)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3775, 46125])).
% 9.78/7.24 tff(46127,plain,
% 9.78/7.24 (~node4(s49)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3762, 22, 46069])).
% 9.78/7.24 tff(46128,plain,
% 9.78/7.24 (xuntil6(s49) | (~until5(s49))),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[3769, 36, 46127])).
% 9.78/7.24 tff(46129,plain,
% 9.78/7.24 (xuntil6(s49)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[46128, 46126])).
% 9.78/7.24 tff(46130,plain,
% 9.78/7.24 (until5(s50)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4342, 46129])).
% 9.78/7.24 tff(46131,plain,
% 9.78/7.24 (~node4(s50)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4351, 22, 46068])).
% 9.78/7.24 tff(46132,plain,
% 9.78/7.24 (xuntil6(s50) | (~until5(s50))),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4392, 36, 46131])).
% 9.78/7.24 tff(46133,plain,
% 9.78/7.24 (xuntil6(s50)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[46132, 46130])).
% 9.78/7.24 tff(46134,plain,
% 9.78/7.24 (until5(s51)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4398, 46133])).
% 9.78/7.24 tff(46135,plain,
% 9.78/7.24 (~node4(s51)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4416, 22, 46067])).
% 9.78/7.24 tff(46136,plain,
% 9.78/7.24 (xuntil6(s51) | (~until5(s51))),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4440, 36, 46135])).
% 9.78/7.24 tff(46137,plain,
% 9.78/7.24 (xuntil6(s51)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[46136, 46134])).
% 9.78/7.24 tff(46138,plain,
% 9.78/7.24 (until5(s52)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4433, 46137])).
% 9.78/7.24 tff(46139,plain,
% 9.78/7.24 (~node4(s52)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4420, 22, 46066])).
% 9.78/7.24 tff(46140,plain,
% 9.78/7.24 (xuntil6(s52) | (~until5(s52))),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4427, 36, 46139])).
% 9.78/7.24 tff(46141,plain,
% 9.78/7.24 (xuntil6(s52)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[46140, 46138])).
% 9.78/7.24 tff(46142,plain,
% 9.78/7.24 (until5(s53)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4587, 46141])).
% 9.78/7.24 tff(46143,plain,
% 9.78/7.24 (~node4(s53)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4651, 22, 46065])).
% 9.78/7.24 tff(46144,plain,
% 9.78/7.24 (xuntil6(s53) | (~until5(s53))),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4658, 36, 46143])).
% 9.78/7.24 tff(46145,plain,
% 9.78/7.24 (xuntil6(s53)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[46144, 46142])).
% 9.78/7.24 tff(46146,plain,
% 9.78/7.24 (until5(s54)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4638, 46145])).
% 9.78/7.24 tff(46147,plain,
% 9.78/7.24 (~node4(s54)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4606, 22, 46064])).
% 9.78/7.24 tff(46148,plain,
% 9.78/7.24 (xuntil6(s54) | (~until5(s54))),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4630, 36, 46147])).
% 9.78/7.24 tff(46149,plain,
% 9.78/7.24 (xuntil6(s54)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[46148, 46146])).
% 9.78/7.24 tff(46150,plain,
% 9.78/7.24 (until5(s55)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4623, 46149])).
% 9.78/7.24 tff(46151,plain,
% 9.78/7.24 (~node4(s55)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4610, 22, 46063])).
% 9.78/7.24 tff(46152,plain,
% 9.78/7.24 (xuntil6(s55) | (~until5(s55))),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4617, 36, 46151])).
% 9.78/7.24 tff(46153,plain,
% 9.78/7.24 (xuntil6(s55)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[46152, 46150])).
% 9.78/7.24 tff(46154,plain,
% 9.78/7.24 (until5(s56)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4856, 46153])).
% 9.78/7.24 tff(46155,plain,
% 9.78/7.24 (~node4(s56)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4874, 22, 46062])).
% 9.78/7.24 tff(46156,plain,
% 9.78/7.24 (xuntil6(s56) | (~until5(s56))),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4898, 36, 46155])).
% 9.78/7.24 tff(46157,plain,
% 9.78/7.24 (xuntil6(s56)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[46156, 46154])).
% 9.78/7.24 tff(46158,plain,
% 9.78/7.24 (until5(s57)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4891, 46157])).
% 9.78/7.24 tff(46159,plain,
% 9.78/7.24 (~node4(s57)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4878, 22, 46061])).
% 9.78/7.24 tff(46160,plain,
% 9.78/7.24 (xuntil6(s57) | (~until5(s57))),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[4885, 36, 46159])).
% 9.78/7.24 tff(46161,plain,
% 9.78/7.24 (xuntil6(s57)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[46160, 46158])).
% 9.78/7.24 tff(46162,plain,
% 9.78/7.24 (until5(s58)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[5070, 46161])).
% 9.78/7.24 tff(46163,plain,
% 9.78/7.24 (~node4(s58)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9562, 22, 46060])).
% 9.78/7.24 tff(46164,plain,
% 9.78/7.24 (xuntil6(s58) | (~until5(s58))),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9569, 36, 46163])).
% 9.78/7.24 tff(46165,plain,
% 9.78/7.24 (xuntil6(s58)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[46164, 46162])).
% 9.78/7.24 tff(46166,plain,
% 9.78/7.24 (until5(s59)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9575, 46165])).
% 9.78/7.24 tff(46167,plain,
% 9.78/7.24 (~node4(s59)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9546, 22, 46059])).
% 9.78/7.24 tff(46168,plain,
% 9.78/7.24 (xuntil6(s59) | (~until5(s59))),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9582, 36, 46167])).
% 9.78/7.24 tff(46169,plain,
% 9.78/7.24 (xuntil6(s59)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[46168, 46166])).
% 9.78/7.24 tff(46170,plain,
% 9.78/7.24 (until5(s60)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9587, 46169])).
% 9.78/7.24 tff(46171,plain,
% 9.78/7.24 (~node4(s60)),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9591, 22, 46058])).
% 9.78/7.24 tff(46172,plain,
% 9.78/7.24 (xuntil6(s60) | (~until5(s60))),
% 9.78/7.24 inference(unit_resolution,[status(thm)],[9598, 36, 46171])).
% 9.78/7.25 tff(46173,plain,
% 9.78/7.25 (xuntil6(s60)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46172, 46170])).
% 9.78/7.25 tff(46174,plain,
% 9.78/7.25 (until5(s61)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9604, 46173])).
% 9.78/7.25 tff(46175,plain,
% 9.78/7.25 (~node4(s61)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9608, 22, 46057])).
% 9.78/7.25 tff(46176,plain,
% 9.78/7.25 (xuntil6(s61) | (~until5(s61))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9615, 36, 46175])).
% 9.78/7.25 tff(46177,plain,
% 9.78/7.25 (xuntil6(s61)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46176, 46174])).
% 9.78/7.25 tff(46178,plain,
% 9.78/7.25 (until5(s62)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9621, 46177])).
% 9.78/7.25 tff(46179,plain,
% 9.78/7.25 (~node4(s62)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9625, 22, 46056])).
% 9.78/7.25 tff(46180,plain,
% 9.78/7.25 (xuntil6(s62) | (~until5(s62))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9632, 36, 46179])).
% 9.78/7.25 tff(46181,plain,
% 9.78/7.25 (xuntil6(s62)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46180, 46178])).
% 9.78/7.25 tff(46182,plain,
% 9.78/7.25 (until5(s63)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9638, 46181])).
% 9.78/7.25 tff(46183,plain,
% 9.78/7.25 (~node4(s63)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9642, 22, 46055])).
% 9.78/7.25 tff(46184,plain,
% 9.78/7.25 (xuntil6(s63) | (~until5(s63))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9649, 36, 46183])).
% 9.78/7.25 tff(46185,plain,
% 9.78/7.25 (xuntil6(s63)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46184, 46182])).
% 9.78/7.25 tff(46186,plain,
% 9.78/7.25 (until5(s64)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9655, 46185])).
% 9.78/7.25 tff(46187,plain,
% 9.78/7.25 (~node4(s64)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9659, 22, 46054])).
% 9.78/7.25 tff(46188,plain,
% 9.78/7.25 (xuntil6(s64) | (~until5(s64))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9666, 36, 46187])).
% 9.78/7.25 tff(46189,plain,
% 9.78/7.25 (xuntil6(s64)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46188, 46186])).
% 9.78/7.25 tff(46190,plain,
% 9.78/7.25 (until5(s65)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9672, 46189])).
% 9.78/7.25 tff(46191,plain,
% 9.78/7.25 (~node4(s65)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9676, 22, 46053])).
% 9.78/7.25 tff(46192,plain,
% 9.78/7.25 (xuntil6(s65) | (~until5(s65))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9683, 36, 46191])).
% 9.78/7.25 tff(46193,plain,
% 9.78/7.25 (xuntil6(s65)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46192, 46190])).
% 9.78/7.25 tff(46194,plain,
% 9.78/7.25 (until5(s66)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9689, 46193])).
% 9.78/7.25 tff(46195,plain,
% 9.78/7.25 (~node4(s66)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9693, 22, 46052])).
% 9.78/7.25 tff(46196,plain,
% 9.78/7.25 (xuntil6(s66) | (~until5(s66))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9700, 36, 46195])).
% 9.78/7.25 tff(46197,plain,
% 9.78/7.25 (xuntil6(s66)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46196, 46194])).
% 9.78/7.25 tff(46198,plain,
% 9.78/7.25 (until5(s67)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9706, 46197])).
% 9.78/7.25 tff(46199,plain,
% 9.78/7.25 (~node4(s67)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9710, 22, 46051])).
% 9.78/7.25 tff(46200,plain,
% 9.78/7.25 (xuntil6(s67) | (~until5(s67))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9717, 36, 46199])).
% 9.78/7.25 tff(46201,plain,
% 9.78/7.25 (xuntil6(s67)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46200, 46198])).
% 9.78/7.25 tff(46202,plain,
% 9.78/7.25 (until5(s68)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9723, 46201])).
% 9.78/7.25 tff(46203,plain,
% 9.78/7.25 (~node4(s68)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9727, 22, 46050])).
% 9.78/7.25 tff(46204,plain,
% 9.78/7.25 (xuntil6(s68) | (~until5(s68))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9734, 36, 46203])).
% 9.78/7.25 tff(46205,plain,
% 9.78/7.25 (xuntil6(s68)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46204, 46202])).
% 9.78/7.25 tff(46206,plain,
% 9.78/7.25 (until5(s69)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9740, 46205])).
% 9.78/7.25 tff(46207,plain,
% 9.78/7.25 (~node4(s69)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9744, 22, 46049])).
% 9.78/7.25 tff(46208,plain,
% 9.78/7.25 (xuntil6(s69) | (~until5(s69))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9751, 36, 46207])).
% 9.78/7.25 tff(46209,plain,
% 9.78/7.25 (xuntil6(s69)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46208, 46206])).
% 9.78/7.25 tff(46210,plain,
% 9.78/7.25 (until5(s70)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9757, 46209])).
% 9.78/7.25 tff(46211,plain,
% 9.78/7.25 (~node4(s70)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9761, 22, 46048])).
% 9.78/7.25 tff(46212,plain,
% 9.78/7.25 (xuntil6(s70) | (~until5(s70))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9768, 36, 46211])).
% 9.78/7.25 tff(46213,plain,
% 9.78/7.25 (xuntil6(s70)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46212, 46210])).
% 9.78/7.25 tff(46214,plain,
% 9.78/7.25 (until5(s71)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9774, 46213])).
% 9.78/7.25 tff(46215,plain,
% 9.78/7.25 (~node4(s71)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9778, 22, 46047])).
% 9.78/7.25 tff(46216,plain,
% 9.78/7.25 (xuntil6(s71) | (~until5(s71))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9785, 36, 46215])).
% 9.78/7.25 tff(46217,plain,
% 9.78/7.25 (xuntil6(s71)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46216, 46214])).
% 9.78/7.25 tff(46218,plain,
% 9.78/7.25 (until5(s72)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9791, 46217])).
% 9.78/7.25 tff(46219,plain,
% 9.78/7.25 (~node4(s72)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9795, 22, 46046])).
% 9.78/7.25 tff(46220,plain,
% 9.78/7.25 (xuntil6(s72) | (~until5(s72))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9802, 36, 46219])).
% 9.78/7.25 tff(46221,plain,
% 9.78/7.25 (xuntil6(s72)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46220, 46218])).
% 9.78/7.25 tff(46222,plain,
% 9.78/7.25 (until5(s73)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9808, 46221])).
% 9.78/7.25 tff(46223,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[9812, 22, 46045])).
% 9.78/7.25 tff(46224,plain,
% 9.78/7.25 (xuntil6(s73) | (~until5(s73))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9819, 36, 46223])).
% 9.78/7.25 tff(46225,plain,
% 9.78/7.25 (xuntil6(s73)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46224, 46222])).
% 9.78/7.25 tff(46226,plain,
% 9.78/7.25 (until5(s74)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9825, 46225])).
% 9.78/7.25 tff(46227,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[9829, 22, 46044])).
% 9.78/7.25 tff(46228,plain,
% 9.78/7.25 (xuntil6(s74) | (~until5(s74))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9836, 36, 46227])).
% 9.78/7.25 tff(46229,plain,
% 9.78/7.25 (xuntil6(s74)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46228, 46226])).
% 9.78/7.25 tff(46230,plain,
% 9.78/7.25 (until5(s75)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9842, 46229])).
% 9.78/7.25 tff(46231,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[9846, 22, 46043])).
% 9.78/7.25 tff(46232,plain,
% 9.78/7.25 (xuntil6(s75) | (~until5(s75))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9853, 36, 46231])).
% 9.78/7.25 tff(46233,plain,
% 9.78/7.25 (xuntil6(s75)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46232, 46230])).
% 9.78/7.25 tff(46234,plain,
% 9.78/7.25 (until5(s76)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9859, 46233])).
% 9.78/7.25 tff(46235,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[9863, 22, 46042])).
% 9.78/7.25 tff(46236,plain,
% 9.78/7.25 (xuntil6(s76) | (~until5(s76))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9870, 36, 46235])).
% 9.78/7.25 tff(46237,plain,
% 9.78/7.25 (xuntil6(s76)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46236, 46234])).
% 9.78/7.25 tff(46238,plain,
% 9.78/7.25 (until5(s77)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9876, 46237])).
% 9.78/7.25 tff(46239,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[9880, 22, 46041])).
% 9.78/7.25 tff(46240,plain,
% 9.78/7.25 (xuntil6(s77) | (~until5(s77))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9887, 36, 46239])).
% 9.78/7.25 tff(46241,plain,
% 9.78/7.25 (xuntil6(s77)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46240, 46238])).
% 9.78/7.25 tff(46242,plain,
% 9.78/7.25 (until5(s78)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9893, 46241])).
% 9.78/7.25 tff(46243,plain,
% 9.78/7.25 (~node4(s78)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9897, 22, 46040])).
% 9.78/7.25 tff(46244,plain,
% 9.78/7.25 (xuntil6(s78) | (~until5(s78))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9904, 36, 46243])).
% 9.78/7.25 tff(46245,plain,
% 9.78/7.25 (xuntil6(s78)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46244, 46242])).
% 9.78/7.25 tff(46246,plain,
% 9.78/7.25 (until5(s79)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9910, 46245])).
% 9.78/7.25 tff(46247,plain,
% 9.78/7.25 (~node4(s79)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9914, 22, 46039])).
% 9.78/7.25 tff(46248,plain,
% 9.78/7.25 (xuntil6(s79) | (~until5(s79))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9921, 36, 46247])).
% 9.78/7.25 tff(46249,plain,
% 9.78/7.25 (xuntil6(s79)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46248, 46246])).
% 9.78/7.25 tff(46250,plain,
% 9.78/7.25 (until5(s80)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9927, 46249])).
% 9.78/7.25 tff(46251,plain,
% 9.78/7.25 (~node4(s80)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9931, 22, 46038])).
% 9.78/7.25 tff(46252,plain,
% 9.78/7.25 (xuntil6(s80) | (~until5(s80))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9938, 36, 46251])).
% 9.78/7.25 tff(46253,plain,
% 9.78/7.25 (xuntil6(s80)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46252, 46250])).
% 9.78/7.25 tff(46254,plain,
% 9.78/7.25 (until5(s81)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9944, 46253])).
% 9.78/7.25 tff(46255,plain,
% 9.78/7.25 (~node4(s81)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9948, 22, 46037])).
% 9.78/7.25 tff(46256,plain,
% 9.78/7.25 (xuntil6(s81) | (~until5(s81))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9955, 36, 46255])).
% 9.78/7.25 tff(46257,plain,
% 9.78/7.25 (xuntil6(s81)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46256, 46254])).
% 9.78/7.25 tff(46258,plain,
% 9.78/7.25 (until5(s82)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9961, 46257])).
% 9.78/7.25 tff(46259,plain,
% 9.78/7.25 (~node4(s82)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9965, 22, 46036])).
% 9.78/7.25 tff(46260,plain,
% 9.78/7.25 (xuntil6(s82) | (~until5(s82))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9972, 36, 46259])).
% 9.78/7.25 tff(46261,plain,
% 9.78/7.25 (xuntil6(s82)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46260, 46258])).
% 9.78/7.25 tff(46262,plain,
% 9.78/7.25 (until5(s83)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9978, 46261])).
% 9.78/7.25 tff(46263,plain,
% 9.78/7.25 (~node4(s83)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9982, 22, 46035])).
% 9.78/7.25 tff(46264,plain,
% 9.78/7.25 (xuntil6(s83) | (~until5(s83))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9989, 36, 46263])).
% 9.78/7.25 tff(46265,plain,
% 9.78/7.25 (xuntil6(s83)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46264, 46262])).
% 9.78/7.25 tff(46266,plain,
% 9.78/7.25 (until5(s84)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9995, 46265])).
% 9.78/7.25 tff(46267,plain,
% 9.78/7.25 (~node4(s84)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[9999, 22, 46034])).
% 9.78/7.25 tff(46268,plain,
% 9.78/7.25 (xuntil6(s84) | (~until5(s84))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10006, 36, 46267])).
% 9.78/7.25 tff(46269,plain,
% 9.78/7.25 (xuntil6(s84)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46268, 46266])).
% 9.78/7.25 tff(46270,plain,
% 9.78/7.25 (until5(s85)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10012, 46269])).
% 9.78/7.25 tff(46271,plain,
% 9.78/7.25 (~node4(s85)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10016, 22, 46033])).
% 9.78/7.25 tff(46272,plain,
% 9.78/7.25 (xuntil6(s85) | (~until5(s85))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10023, 36, 46271])).
% 9.78/7.25 tff(46273,plain,
% 9.78/7.25 (xuntil6(s85)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46272, 46270])).
% 9.78/7.25 tff(46274,plain,
% 9.78/7.25 (until5(s86)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10029, 46273])).
% 9.78/7.25 tff(46275,plain,
% 9.78/7.25 (~node4(s86)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10033, 22, 46032])).
% 9.78/7.25 tff(46276,plain,
% 9.78/7.25 (xuntil6(s86) | (~until5(s86))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10040, 36, 46275])).
% 9.78/7.25 tff(46277,plain,
% 9.78/7.25 (xuntil6(s86)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46276, 46274])).
% 9.78/7.25 tff(46278,plain,
% 9.78/7.25 (until5(s87)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10046, 46277])).
% 9.78/7.25 tff(46279,plain,
% 9.78/7.25 (~node4(s87)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10050, 22, 46031])).
% 9.78/7.25 tff(46280,plain,
% 9.78/7.25 (xuntil6(s87) | (~until5(s87))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10057, 36, 46279])).
% 9.78/7.25 tff(46281,plain,
% 9.78/7.25 (xuntil6(s87)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46280, 46278])).
% 9.78/7.25 tff(46282,plain,
% 9.78/7.25 (until5(s88)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10063, 46281])).
% 9.78/7.25 tff(46283,plain,
% 9.78/7.25 (~node4(s88)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10067, 22, 46030])).
% 9.78/7.25 tff(46284,plain,
% 9.78/7.25 (xuntil6(s88) | (~until5(s88))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10074, 36, 46283])).
% 9.78/7.25 tff(46285,plain,
% 9.78/7.25 (xuntil6(s88)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46284, 46282])).
% 9.78/7.25 tff(46286,plain,
% 9.78/7.25 (until5(s89)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10080, 46285])).
% 9.78/7.25 tff(46287,plain,
% 9.78/7.25 (~node4(s89)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10084, 22, 46029])).
% 9.78/7.25 tff(46288,plain,
% 9.78/7.25 (xuntil6(s89) | (~until5(s89))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10091, 36, 46287])).
% 9.78/7.25 tff(46289,plain,
% 9.78/7.25 (xuntil6(s89)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46288, 46286])).
% 9.78/7.25 tff(46290,plain,
% 9.78/7.25 (until5(s90)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10097, 46289])).
% 9.78/7.25 tff(46291,plain,
% 9.78/7.25 (~node4(s90)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10101, 22, 46028])).
% 9.78/7.25 tff(46292,plain,
% 9.78/7.25 (xuntil6(s90) | (~until5(s90))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10108, 36, 46291])).
% 9.78/7.25 tff(46293,plain,
% 9.78/7.25 (xuntil6(s90)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46292, 46290])).
% 9.78/7.25 tff(46294,plain,
% 9.78/7.25 (until5(s91)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10114, 46293])).
% 9.78/7.25 tff(46295,plain,
% 9.78/7.25 (~node4(s91)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10118, 22, 46027])).
% 9.78/7.25 tff(46296,plain,
% 9.78/7.25 (xuntil6(s91) | (~until5(s91))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10125, 36, 46295])).
% 9.78/7.25 tff(46297,plain,
% 9.78/7.25 (xuntil6(s91)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46296, 46294])).
% 9.78/7.25 tff(46298,plain,
% 9.78/7.25 (until5(s92)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10131, 46297])).
% 9.78/7.25 tff(46299,plain,
% 9.78/7.25 (~node4(s92)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10135, 22, 46026])).
% 9.78/7.25 tff(46300,plain,
% 9.78/7.25 (xuntil6(s92) | (~until5(s92))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10142, 36, 46299])).
% 9.78/7.25 tff(46301,plain,
% 9.78/7.25 (xuntil6(s92)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46300, 46298])).
% 9.78/7.25 tff(46302,plain,
% 9.78/7.25 (until5(s93)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10148, 46301])).
% 9.78/7.25 tff(46303,plain,
% 9.78/7.25 (~node4(s93)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10152, 22, 46025])).
% 9.78/7.25 tff(46304,plain,
% 9.78/7.25 (xuntil6(s93) | (~until5(s93))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10159, 36, 46303])).
% 9.78/7.25 tff(46305,plain,
% 9.78/7.25 (xuntil6(s93)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46304, 46302])).
% 9.78/7.25 tff(46306,plain,
% 9.78/7.25 (until5(s94)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10165, 46305])).
% 9.78/7.25 tff(46307,plain,
% 9.78/7.25 (~node4(s94)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10169, 22, 46024])).
% 9.78/7.25 tff(46308,plain,
% 9.78/7.25 (xuntil6(s94) | (~until5(s94))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10176, 36, 46307])).
% 9.78/7.25 tff(46309,plain,
% 9.78/7.25 (xuntil6(s94)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46308, 46306])).
% 9.78/7.25 tff(46310,plain,
% 9.78/7.25 (until5(s95)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10182, 46309])).
% 9.78/7.25 tff(46311,plain,
% 9.78/7.25 (~node4(s95)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10186, 22, 46023])).
% 9.78/7.25 tff(46312,plain,
% 9.78/7.25 (xuntil6(s95) | (~until5(s95))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10193, 36, 46311])).
% 9.78/7.25 tff(46313,plain,
% 9.78/7.25 (xuntil6(s95)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46312, 46310])).
% 9.78/7.25 tff(46314,plain,
% 9.78/7.25 (until5(s96)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10199, 46313])).
% 9.78/7.25 tff(46315,plain,
% 9.78/7.25 (~node4(s96)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10203, 22, 46022])).
% 9.78/7.25 tff(46316,plain,
% 9.78/7.25 (xuntil6(s96) | (~until5(s96))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10210, 36, 46315])).
% 9.78/7.25 tff(46317,plain,
% 9.78/7.25 (xuntil6(s96)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46316, 46314])).
% 9.78/7.25 tff(46318,plain,
% 9.78/7.25 (until5(s97)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10216, 46317])).
% 9.78/7.25 tff(46319,plain,
% 9.78/7.25 (~node4(s97)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10220, 22, 46021])).
% 9.78/7.25 tff(46320,plain,
% 9.78/7.25 (xuntil6(s97) | (~until5(s97))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10227, 36, 46319])).
% 9.78/7.25 tff(46321,plain,
% 9.78/7.25 (xuntil6(s97)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46320, 46318])).
% 9.78/7.25 tff(46322,plain,
% 9.78/7.25 (until5(s98)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10233, 46321])).
% 9.78/7.25 tff(46323,plain,
% 9.78/7.25 (~node4(s98)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10237, 22, 46020])).
% 9.78/7.25 tff(46324,plain,
% 9.78/7.25 (xuntil6(s98) | (~until5(s98))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10244, 36, 46323])).
% 9.78/7.25 tff(46325,plain,
% 9.78/7.25 (xuntil6(s98)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46324, 46322])).
% 9.78/7.25 tff(46326,plain,
% 9.78/7.25 (until5(s99)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10250, 46325])).
% 9.78/7.25 tff(46327,plain,
% 9.78/7.25 (~node4(s99)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10254, 22, 46019])).
% 9.78/7.25 tff(46328,plain,
% 9.78/7.25 (xuntil6(s99) | (~until5(s99))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10261, 36, 46327])).
% 9.78/7.25 tff(46329,plain,
% 9.78/7.25 (xuntil6(s99)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46328, 46326])).
% 9.78/7.25 tff(46330,plain,
% 9.78/7.25 (until5(s100)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10267, 46329])).
% 9.78/7.25 tff(46331,plain,
% 9.78/7.25 (~node4(s100)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10271, 22, 46018])).
% 9.78/7.25 tff(46332,plain,
% 9.78/7.25 (xuntil6(s100) | (~until5(s100))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10278, 36, 46331])).
% 9.78/7.25 tff(46333,plain,
% 9.78/7.25 (xuntil6(s100)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46332, 46330])).
% 9.78/7.25 tff(46334,plain,
% 9.78/7.25 (until5(s101)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10284, 46333])).
% 9.78/7.25 tff(46335,plain,
% 9.78/7.25 (~node4(s101)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10288, 22, 46017])).
% 9.78/7.25 tff(46336,plain,
% 9.78/7.25 (xuntil6(s101) | (~until5(s101))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10295, 36, 46335])).
% 9.78/7.25 tff(46337,plain,
% 9.78/7.25 (xuntil6(s101)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46336, 46334])).
% 9.78/7.25 tff(46338,plain,
% 9.78/7.25 (until5(s102)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10301, 46337])).
% 9.78/7.25 tff(46339,plain,
% 9.78/7.25 (~node4(s102)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10305, 22, 46016])).
% 9.78/7.25 tff(46340,plain,
% 9.78/7.25 (xuntil6(s102) | (~until5(s102))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10312, 36, 46339])).
% 9.78/7.25 tff(46341,plain,
% 9.78/7.25 (xuntil6(s102)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46340, 46338])).
% 9.78/7.25 tff(46342,plain,
% 9.78/7.25 (until5(s103)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10318, 46341])).
% 9.78/7.25 tff(46343,plain,
% 9.78/7.25 (~node4(s103)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10322, 22, 46015])).
% 9.78/7.25 tff(46344,plain,
% 9.78/7.25 (xuntil6(s103) | (~until5(s103))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10329, 36, 46343])).
% 9.78/7.25 tff(46345,plain,
% 9.78/7.25 (xuntil6(s103)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46344, 46342])).
% 9.78/7.25 tff(46346,plain,
% 9.78/7.25 (until5(s104)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10335, 46345])).
% 9.78/7.25 tff(46347,plain,
% 9.78/7.25 (~node4(s104)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10339, 22, 46014])).
% 9.78/7.25 tff(46348,plain,
% 9.78/7.25 (xuntil6(s104) | (~until5(s104))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10346, 36, 46347])).
% 9.78/7.25 tff(46349,plain,
% 9.78/7.25 (xuntil6(s104)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46348, 46346])).
% 9.78/7.25 tff(46350,plain,
% 9.78/7.25 (until5(s105)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10352, 46349])).
% 9.78/7.25 tff(46351,plain,
% 9.78/7.25 (~node4(s105)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10356, 22, 46013])).
% 9.78/7.25 tff(46352,plain,
% 9.78/7.25 (xuntil6(s105) | (~until5(s105))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10363, 36, 46351])).
% 9.78/7.25 tff(46353,plain,
% 9.78/7.25 (xuntil6(s105)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46352, 46350])).
% 9.78/7.25 tff(46354,plain,
% 9.78/7.25 (until5(s106)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10369, 46353])).
% 9.78/7.25 tff(46355,plain,
% 9.78/7.25 (~node4(s106)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10373, 22, 46012])).
% 9.78/7.25 tff(46356,plain,
% 9.78/7.25 (xuntil6(s106) | (~until5(s106))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10380, 36, 46355])).
% 9.78/7.25 tff(46357,plain,
% 9.78/7.25 (xuntil6(s106)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46356, 46354])).
% 9.78/7.25 tff(46358,plain,
% 9.78/7.25 (until5(s107)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10386, 46357])).
% 9.78/7.25 tff(46359,plain,
% 9.78/7.25 (~node4(s107)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10390, 22, 46011])).
% 9.78/7.25 tff(46360,plain,
% 9.78/7.25 (xuntil6(s107) | (~until5(s107))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10397, 36, 46359])).
% 9.78/7.25 tff(46361,plain,
% 9.78/7.25 (xuntil6(s107)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46360, 46358])).
% 9.78/7.25 tff(46362,plain,
% 9.78/7.25 (until5(s108)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10403, 46361])).
% 9.78/7.25 tff(46363,plain,
% 9.78/7.25 (~node4(s108)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10407, 22, 46010])).
% 9.78/7.25 tff(46364,plain,
% 9.78/7.25 (xuntil6(s108) | (~until5(s108))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10414, 36, 46363])).
% 9.78/7.25 tff(46365,plain,
% 9.78/7.25 (xuntil6(s108)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46364, 46362])).
% 9.78/7.25 tff(46366,plain,
% 9.78/7.25 (until5(s109)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10420, 46365])).
% 9.78/7.25 tff(46367,plain,
% 9.78/7.25 (~node4(s109)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10424, 22, 46009])).
% 9.78/7.25 tff(46368,plain,
% 9.78/7.25 (xuntil6(s109) | (~until5(s109))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10431, 36, 46367])).
% 9.78/7.25 tff(46369,plain,
% 9.78/7.25 (xuntil6(s109)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46368, 46366])).
% 9.78/7.25 tff(46370,plain,
% 9.78/7.25 (until5(s110)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10437, 46369])).
% 9.78/7.25 tff(46371,plain,
% 9.78/7.25 (~node4(s110)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10441, 22, 46008])).
% 9.78/7.25 tff(46372,plain,
% 9.78/7.25 (xuntil6(s110) | (~until5(s110))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10448, 36, 46371])).
% 9.78/7.25 tff(46373,plain,
% 9.78/7.25 (xuntil6(s110)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46372, 46370])).
% 9.78/7.25 tff(46374,plain,
% 9.78/7.25 (until5(s111)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10454, 46373])).
% 9.78/7.25 tff(46375,plain,
% 9.78/7.25 (~node4(s111)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10458, 22, 46007])).
% 9.78/7.25 tff(46376,plain,
% 9.78/7.25 (xuntil6(s111) | (~until5(s111))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10465, 36, 46375])).
% 9.78/7.25 tff(46377,plain,
% 9.78/7.25 (xuntil6(s111)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46376, 46374])).
% 9.78/7.25 tff(46378,plain,
% 9.78/7.25 (until5(s112)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10471, 46377])).
% 9.78/7.25 tff(46379,plain,
% 9.78/7.25 (~node4(s112)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10475, 22, 46006])).
% 9.78/7.25 tff(46380,plain,
% 9.78/7.25 (xuntil6(s112) | (~until5(s112))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10482, 36, 46379])).
% 9.78/7.25 tff(46381,plain,
% 9.78/7.25 (xuntil6(s112)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46380, 46378])).
% 9.78/7.25 tff(46382,plain,
% 9.78/7.25 (until5(s113)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10488, 46381])).
% 9.78/7.25 tff(46383,plain,
% 9.78/7.25 (~node4(s113)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10492, 22, 46005])).
% 9.78/7.25 tff(46384,plain,
% 9.78/7.25 (xuntil6(s113) | (~until5(s113))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10499, 36, 46383])).
% 9.78/7.25 tff(46385,plain,
% 9.78/7.25 (xuntil6(s113)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46384, 46382])).
% 9.78/7.25 tff(46386,plain,
% 9.78/7.25 (until5(s114)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10505, 46385])).
% 9.78/7.25 tff(46387,plain,
% 9.78/7.25 (~node4(s114)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10509, 22, 46004])).
% 9.78/7.25 tff(46388,plain,
% 9.78/7.25 (xuntil6(s114) | (~until5(s114))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10516, 36, 46387])).
% 9.78/7.25 tff(46389,plain,
% 9.78/7.25 (xuntil6(s114)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46388, 46386])).
% 9.78/7.25 tff(46390,plain,
% 9.78/7.25 (until5(s115)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10522, 46389])).
% 9.78/7.25 tff(46391,plain,
% 9.78/7.25 (~node4(s115)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10526, 22, 46003])).
% 9.78/7.25 tff(46392,plain,
% 9.78/7.25 (xuntil6(s115) | (~until5(s115))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10533, 36, 46391])).
% 9.78/7.25 tff(46393,plain,
% 9.78/7.25 (xuntil6(s115)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46392, 46390])).
% 9.78/7.25 tff(46394,plain,
% 9.78/7.25 (until5(s116)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10539, 46393])).
% 9.78/7.25 tff(46395,plain,
% 9.78/7.25 (~node4(s116)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10543, 22, 46002])).
% 9.78/7.25 tff(46396,plain,
% 9.78/7.25 (xuntil6(s116) | (~until5(s116))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10550, 36, 46395])).
% 9.78/7.25 tff(46397,plain,
% 9.78/7.25 (xuntil6(s116)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46396, 46394])).
% 9.78/7.25 tff(46398,plain,
% 9.78/7.25 (until5(s117)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10556, 46397])).
% 9.78/7.25 tff(46399,plain,
% 9.78/7.25 (~node4(s117)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10560, 22, 46001])).
% 9.78/7.25 tff(46400,plain,
% 9.78/7.25 (xuntil6(s117) | (~until5(s117))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10567, 36, 46399])).
% 9.78/7.25 tff(46401,plain,
% 9.78/7.25 (xuntil6(s117)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46400, 46398])).
% 9.78/7.25 tff(46402,plain,
% 9.78/7.25 (until5(s118)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10573, 46401])).
% 9.78/7.25 tff(46403,plain,
% 9.78/7.25 (~node4(s118)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10577, 22, 46000])).
% 9.78/7.25 tff(46404,plain,
% 9.78/7.25 (xuntil6(s118) | (~until5(s118))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10584, 36, 46403])).
% 9.78/7.25 tff(46405,plain,
% 9.78/7.25 (xuntil6(s118)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46404, 46402])).
% 9.78/7.25 tff(46406,plain,
% 9.78/7.25 (until5(s119)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10590, 46405])).
% 9.78/7.25 tff(46407,plain,
% 9.78/7.25 (~node4(s119)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10594, 22, 45999])).
% 9.78/7.25 tff(46408,plain,
% 9.78/7.25 (xuntil6(s119) | (~until5(s119))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10601, 36, 46407])).
% 9.78/7.25 tff(46409,plain,
% 9.78/7.25 (xuntil6(s119)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46408, 46406])).
% 9.78/7.25 tff(46410,plain,
% 9.78/7.25 (until5(s120)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10607, 46409])).
% 9.78/7.25 tff(46411,plain,
% 9.78/7.25 (~node4(s120)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10611, 22, 45998])).
% 9.78/7.25 tff(46412,plain,
% 9.78/7.25 (xuntil6(s120) | (~until5(s120))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10618, 36, 46411])).
% 9.78/7.25 tff(46413,plain,
% 9.78/7.25 (xuntil6(s120)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46412, 46410])).
% 9.78/7.25 tff(46414,plain,
% 9.78/7.25 (until5(s121)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10624, 46413])).
% 9.78/7.25 tff(46415,plain,
% 9.78/7.25 (~node4(s121)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10628, 22, 45997])).
% 9.78/7.25 tff(46416,plain,
% 9.78/7.25 (xuntil6(s121) | (~until5(s121))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10635, 36, 46415])).
% 9.78/7.25 tff(46417,plain,
% 9.78/7.25 (xuntil6(s121)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46416, 46414])).
% 9.78/7.25 tff(46418,plain,
% 9.78/7.25 (until5(s122)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10641, 46417])).
% 9.78/7.25 tff(46419,plain,
% 9.78/7.25 (~node4(s122)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10645, 22, 45996])).
% 9.78/7.25 tff(46420,plain,
% 9.78/7.25 (xuntil6(s122) | (~until5(s122))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10652, 36, 46419])).
% 9.78/7.25 tff(46421,plain,
% 9.78/7.25 (xuntil6(s122)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46420, 46418])).
% 9.78/7.25 tff(46422,plain,
% 9.78/7.25 (until5(s123)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10658, 46421])).
% 9.78/7.25 tff(46423,plain,
% 9.78/7.25 (~node4(s123)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10662, 22, 45995])).
% 9.78/7.25 tff(46424,plain,
% 9.78/7.25 (xuntil6(s123) | (~until5(s123))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10669, 36, 46423])).
% 9.78/7.25 tff(46425,plain,
% 9.78/7.25 (xuntil6(s123)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46424, 46422])).
% 9.78/7.25 tff(46426,plain,
% 9.78/7.25 (until5(s124)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10675, 46425])).
% 9.78/7.25 tff(46427,plain,
% 9.78/7.25 (~node4(s124)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10679, 22, 45994])).
% 9.78/7.25 tff(46428,plain,
% 9.78/7.25 (xuntil6(s124) | (~until5(s124))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10686, 36, 46427])).
% 9.78/7.25 tff(46429,plain,
% 9.78/7.25 (xuntil6(s124)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46428, 46426])).
% 9.78/7.25 tff(46430,plain,
% 9.78/7.25 (until5(s125)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10692, 46429])).
% 9.78/7.25 tff(46431,plain,
% 9.78/7.25 (~node4(s125)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10696, 22, 45993])).
% 9.78/7.25 tff(46432,plain,
% 9.78/7.25 (xuntil6(s125) | (~until5(s125))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10703, 36, 46431])).
% 9.78/7.25 tff(46433,plain,
% 9.78/7.25 (xuntil6(s125)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46432, 46430])).
% 9.78/7.25 tff(46434,plain,
% 9.78/7.25 (until5(s126)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10709, 46433])).
% 9.78/7.25 tff(46435,plain,
% 9.78/7.25 (~node4(s126)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10713, 22, 45992])).
% 9.78/7.25 tff(46436,plain,
% 9.78/7.25 (xuntil6(s126) | (~until5(s126))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10720, 36, 46435])).
% 9.78/7.25 tff(46437,plain,
% 9.78/7.25 (xuntil6(s126)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46436, 46434])).
% 9.78/7.25 tff(46438,plain,
% 9.78/7.25 (until5(s127)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10726, 46437])).
% 9.78/7.25 tff(46439,plain,
% 9.78/7.25 (~node4(s127)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10730, 22, 45991])).
% 9.78/7.25 tff(46440,plain,
% 9.78/7.25 (xuntil6(s127) | (~until5(s127))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10737, 36, 46439])).
% 9.78/7.25 tff(46441,plain,
% 9.78/7.25 (xuntil6(s127)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46440, 46438])).
% 9.78/7.25 tff(46442,plain,
% 9.78/7.25 (until5(s128)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10743, 46441])).
% 9.78/7.25 tff(46443,plain,
% 9.78/7.25 (~node4(s128)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10747, 22, 45990])).
% 9.78/7.25 tff(46444,plain,
% 9.78/7.25 (xuntil6(s128) | (~until5(s128))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10754, 36, 46443])).
% 9.78/7.25 tff(46445,plain,
% 9.78/7.25 (xuntil6(s128)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46444, 46442])).
% 9.78/7.25 tff(46446,plain,
% 9.78/7.25 (until5(s129)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10760, 46445])).
% 9.78/7.25 tff(46447,plain,
% 9.78/7.25 (~node4(s129)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10764, 22, 45989])).
% 9.78/7.25 tff(46448,plain,
% 9.78/7.25 (xuntil6(s129) | (~until5(s129))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10771, 36, 46447])).
% 9.78/7.25 tff(46449,plain,
% 9.78/7.25 (xuntil6(s129)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46448, 46446])).
% 9.78/7.25 tff(46450,plain,
% 9.78/7.25 (until5(s130)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10777, 46449])).
% 9.78/7.25 tff(46451,plain,
% 9.78/7.25 (~node4(s130)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10781, 22, 45988])).
% 9.78/7.25 tff(46452,plain,
% 9.78/7.25 (xuntil6(s130) | (~until5(s130))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10788, 36, 46451])).
% 9.78/7.25 tff(46453,plain,
% 9.78/7.25 (xuntil6(s130)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46452, 46450])).
% 9.78/7.25 tff(46454,plain,
% 9.78/7.25 (until5(s131)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10794, 46453])).
% 9.78/7.25 tff(46455,plain,
% 9.78/7.25 (~node4(s131)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10798, 22, 45987])).
% 9.78/7.25 tff(46456,plain,
% 9.78/7.25 (xuntil6(s131) | (~until5(s131))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10805, 36, 46455])).
% 9.78/7.25 tff(46457,plain,
% 9.78/7.25 (xuntil6(s131)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46456, 46454])).
% 9.78/7.25 tff(46458,plain,
% 9.78/7.25 (until5(s132)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10811, 46457])).
% 9.78/7.25 tff(46459,plain,
% 9.78/7.25 (~node4(s132)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10815, 22, 45986])).
% 9.78/7.25 tff(46460,plain,
% 9.78/7.25 (xuntil6(s132) | (~until5(s132))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10822, 36, 46459])).
% 9.78/7.25 tff(46461,plain,
% 9.78/7.25 (xuntil6(s132)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46460, 46458])).
% 9.78/7.25 tff(46462,plain,
% 9.78/7.25 (until5(s133)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10828, 46461])).
% 9.78/7.25 tff(46463,plain,
% 9.78/7.25 (~node4(s133)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10832, 22, 45985])).
% 9.78/7.25 tff(46464,plain,
% 9.78/7.25 (xuntil6(s133) | (~until5(s133))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10839, 36, 46463])).
% 9.78/7.25 tff(46465,plain,
% 9.78/7.25 (xuntil6(s133)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46464, 46462])).
% 9.78/7.25 tff(46466,plain,
% 9.78/7.25 (until5(s134)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10845, 46465])).
% 9.78/7.25 tff(46467,plain,
% 9.78/7.25 (~node4(s134)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10849, 22, 45984])).
% 9.78/7.25 tff(46468,plain,
% 9.78/7.25 (xuntil6(s134) | (~until5(s134))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10856, 36, 46467])).
% 9.78/7.25 tff(46469,plain,
% 9.78/7.25 (xuntil6(s134)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46468, 46466])).
% 9.78/7.25 tff(46470,plain,
% 9.78/7.25 (until5(s135)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10862, 46469])).
% 9.78/7.25 tff(46471,plain,
% 9.78/7.25 (~node4(s135)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10866, 22, 45983])).
% 9.78/7.25 tff(46472,plain,
% 9.78/7.25 (xuntil6(s135) | (~until5(s135))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10873, 36, 46471])).
% 9.78/7.25 tff(46473,plain,
% 9.78/7.25 (xuntil6(s135)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46472, 46470])).
% 9.78/7.25 tff(46474,plain,
% 9.78/7.25 (until5(s136)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10879, 46473])).
% 9.78/7.25 tff(46475,plain,
% 9.78/7.25 (~node4(s136)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10883, 22, 45982])).
% 9.78/7.25 tff(46476,plain,
% 9.78/7.25 (xuntil6(s136) | (~until5(s136))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10890, 36, 46475])).
% 9.78/7.25 tff(46477,plain,
% 9.78/7.25 (xuntil6(s136)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46476, 46474])).
% 9.78/7.25 tff(46478,plain,
% 9.78/7.25 (until5(s137)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10896, 46477])).
% 9.78/7.25 tff(46479,plain,
% 9.78/7.25 (~node4(s137)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8598, 22, 45981])).
% 9.78/7.25 tff(46480,plain,
% 9.78/7.25 (xuntil6(s137) | (~until5(s137))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8605, 36, 46479])).
% 9.78/7.25 tff(46481,plain,
% 9.78/7.25 (xuntil6(s137)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46480, 46478])).
% 9.78/7.25 tff(46482,plain,
% 9.78/7.25 (until5(s138)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8585, 46481])).
% 9.78/7.25 tff(46483,plain,
% 9.78/7.25 (~node4(s138)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8569, 22, 45980])).
% 9.78/7.25 tff(46484,plain,
% 9.78/7.25 (xuntil6(s138) | (~until5(s138))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8576, 36, 46483])).
% 9.78/7.25 tff(46485,plain,
% 9.78/7.25 (xuntil6(s138)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46484, 46482])).
% 9.78/7.25 tff(46486,plain,
% 9.78/7.25 (until5(s139)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8556, 46485])).
% 9.78/7.25 tff(46487,plain,
% 9.78/7.25 (~node4(s139)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8540, 22, 45979])).
% 9.78/7.25 tff(46488,plain,
% 9.78/7.25 (xuntil6(s139) | (~until5(s139))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8547, 36, 46487])).
% 9.78/7.25 tff(46489,plain,
% 9.78/7.25 (xuntil6(s139)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46488, 46486])).
% 9.78/7.25 tff(46490,plain,
% 9.78/7.25 (until5(s140)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8527, 46489])).
% 9.78/7.25 tff(46491,plain,
% 9.78/7.25 (~node4(s140)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8511, 22, 45978])).
% 9.78/7.25 tff(46492,plain,
% 9.78/7.25 (xuntil6(s140) | (~until5(s140))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8518, 36, 46491])).
% 9.78/7.25 tff(46493,plain,
% 9.78/7.25 (xuntil6(s140)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46492, 46490])).
% 9.78/7.25 tff(46494,plain,
% 9.78/7.25 (until5(s141)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8498, 46493])).
% 9.78/7.25 tff(46495,plain,
% 9.78/7.25 (~node4(s141)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8482, 22, 45977])).
% 9.78/7.25 tff(46496,plain,
% 9.78/7.25 (xuntil6(s141) | (~until5(s141))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8489, 36, 46495])).
% 9.78/7.25 tff(46497,plain,
% 9.78/7.25 (xuntil6(s141)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46496, 46494])).
% 9.78/7.25 tff(46498,plain,
% 9.78/7.25 (until5(s142)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8469, 46497])).
% 9.78/7.25 tff(46499,plain,
% 9.78/7.25 (~node4(s142)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8453, 22, 45976])).
% 9.78/7.25 tff(46500,plain,
% 9.78/7.25 (xuntil6(s142) | (~until5(s142))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8460, 36, 46499])).
% 9.78/7.25 tff(46501,plain,
% 9.78/7.25 (xuntil6(s142)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46500, 46498])).
% 9.78/7.25 tff(46502,plain,
% 9.78/7.25 (until5(s143)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8440, 46501])).
% 9.78/7.25 tff(46503,plain,
% 9.78/7.25 (~node4(s143)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8424, 22, 45975])).
% 9.78/7.25 tff(46504,plain,
% 9.78/7.25 (xuntil6(s143) | (~until5(s143))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8431, 36, 46503])).
% 9.78/7.25 tff(46505,plain,
% 9.78/7.25 (xuntil6(s143)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46504, 46502])).
% 9.78/7.25 tff(46506,plain,
% 9.78/7.25 (until5(s144)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8411, 46505])).
% 9.78/7.25 tff(46507,plain,
% 9.78/7.25 (~node4(s144)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8395, 22, 45974])).
% 9.78/7.25 tff(46508,plain,
% 9.78/7.25 (xuntil6(s144) | (~until5(s144))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8402, 36, 46507])).
% 9.78/7.25 tff(46509,plain,
% 9.78/7.25 (xuntil6(s144)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46508, 46506])).
% 9.78/7.25 tff(46510,plain,
% 9.78/7.25 (until5(s145)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8382, 46509])).
% 9.78/7.25 tff(46511,plain,
% 9.78/7.25 (~node4(s145)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8366, 22, 45973])).
% 9.78/7.25 tff(46512,plain,
% 9.78/7.25 (xuntil6(s145) | (~until5(s145))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8373, 36, 46511])).
% 9.78/7.25 tff(46513,plain,
% 9.78/7.25 (xuntil6(s145)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46512, 46510])).
% 9.78/7.25 tff(46514,plain,
% 9.78/7.25 (until5(s146)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8353, 46513])).
% 9.78/7.25 tff(46515,plain,
% 9.78/7.25 (~node4(s146)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8337, 22, 45972])).
% 9.78/7.25 tff(46516,plain,
% 9.78/7.25 (xuntil6(s146) | (~until5(s146))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8344, 36, 46515])).
% 9.78/7.25 tff(46517,plain,
% 9.78/7.25 (xuntil6(s146)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46516, 46514])).
% 9.78/7.25 tff(46518,plain,
% 9.78/7.25 (until5(s147)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8324, 46517])).
% 9.78/7.25 tff(46519,plain,
% 9.78/7.25 (~node4(s147)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8308, 22, 45971])).
% 9.78/7.25 tff(46520,plain,
% 9.78/7.25 (xuntil6(s147) | (~until5(s147))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8315, 36, 46519])).
% 9.78/7.25 tff(46521,plain,
% 9.78/7.25 (xuntil6(s147)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46520, 46518])).
% 9.78/7.25 tff(46522,plain,
% 9.78/7.25 (until5(s148)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8295, 46521])).
% 9.78/7.25 tff(46523,plain,
% 9.78/7.25 (~node4(s148)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8279, 22, 45970])).
% 9.78/7.25 tff(46524,plain,
% 9.78/7.25 (xuntil6(s148) | (~until5(s148))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8286, 36, 46523])).
% 9.78/7.25 tff(46525,plain,
% 9.78/7.25 (xuntil6(s148)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46524, 46522])).
% 9.78/7.25 tff(46526,plain,
% 9.78/7.25 (until5(s149)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8266, 46525])).
% 9.78/7.25 tff(46527,plain,
% 9.78/7.25 (~node4(s149)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8250, 22, 45969])).
% 9.78/7.25 tff(46528,plain,
% 9.78/7.25 (xuntil6(s149) | (~until5(s149))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8257, 36, 46527])).
% 9.78/7.25 tff(46529,plain,
% 9.78/7.25 (xuntil6(s149)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46528, 46526])).
% 9.78/7.25 tff(46530,plain,
% 9.78/7.25 (until5(s150)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8237, 46529])).
% 9.78/7.25 tff(46531,plain,
% 9.78/7.25 (~node4(s150)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8221, 22, 45968])).
% 9.78/7.25 tff(46532,plain,
% 9.78/7.25 (xuntil6(s150) | (~until5(s150))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8228, 36, 46531])).
% 9.78/7.25 tff(46533,plain,
% 9.78/7.25 (xuntil6(s150)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46532, 46530])).
% 9.78/7.25 tff(46534,plain,
% 9.78/7.25 (until5(s151)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8208, 46533])).
% 9.78/7.25 tff(46535,plain,
% 9.78/7.25 (~node4(s151)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8192, 22, 45967])).
% 9.78/7.25 tff(46536,plain,
% 9.78/7.25 (xuntil6(s151) | (~until5(s151))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8199, 36, 46535])).
% 9.78/7.25 tff(46537,plain,
% 9.78/7.25 (xuntil6(s151)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46536, 46534])).
% 9.78/7.25 tff(46538,plain,
% 9.78/7.25 (until5(s152)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8179, 46537])).
% 9.78/7.25 tff(46539,plain,
% 9.78/7.25 (~node4(s152)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8163, 22, 45966])).
% 9.78/7.25 tff(46540,plain,
% 9.78/7.25 (xuntil6(s152) | (~until5(s152))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8170, 36, 46539])).
% 9.78/7.25 tff(46541,plain,
% 9.78/7.25 (xuntil6(s152)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46540, 46538])).
% 9.78/7.25 tff(46542,plain,
% 9.78/7.25 (until5(s153)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8150, 46541])).
% 9.78/7.25 tff(46543,plain,
% 9.78/7.25 (~node4(s153)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8134, 22, 45965])).
% 9.78/7.25 tff(46544,plain,
% 9.78/7.25 (xuntil6(s153) | (~until5(s153))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8141, 36, 46543])).
% 9.78/7.25 tff(46545,plain,
% 9.78/7.25 (xuntil6(s153)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46544, 46542])).
% 9.78/7.25 tff(46546,plain,
% 9.78/7.25 (until5(s154)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8121, 46545])).
% 9.78/7.25 tff(46547,plain,
% 9.78/7.25 (~node4(s154)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8105, 22, 45964])).
% 9.78/7.25 tff(46548,plain,
% 9.78/7.25 (xuntil6(s154) | (~until5(s154))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8112, 36, 46547])).
% 9.78/7.25 tff(46549,plain,
% 9.78/7.25 (xuntil6(s154)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46548, 46546])).
% 9.78/7.25 tff(46550,plain,
% 9.78/7.25 (until5(s155)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8092, 46549])).
% 9.78/7.25 tff(46551,plain,
% 9.78/7.25 (~node4(s155)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8076, 22, 45963])).
% 9.78/7.25 tff(46552,plain,
% 9.78/7.25 (xuntil6(s155) | (~until5(s155))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8083, 36, 46551])).
% 9.78/7.25 tff(46553,plain,
% 9.78/7.25 (xuntil6(s155)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46552, 46550])).
% 9.78/7.25 tff(46554,plain,
% 9.78/7.25 (until5(s156)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8063, 46553])).
% 9.78/7.25 tff(46555,plain,
% 9.78/7.25 (~node4(s156)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8047, 22, 45962])).
% 9.78/7.25 tff(46556,plain,
% 9.78/7.25 (xuntil6(s156) | (~until5(s156))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8054, 36, 46555])).
% 9.78/7.25 tff(46557,plain,
% 9.78/7.25 (xuntil6(s156)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46556, 46554])).
% 9.78/7.25 tff(46558,plain,
% 9.78/7.25 (until5(s157)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8034, 46557])).
% 9.78/7.25 tff(46559,plain,
% 9.78/7.25 (~node4(s157)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8018, 22, 45961])).
% 9.78/7.25 tff(46560,plain,
% 9.78/7.25 (xuntil6(s157) | (~until5(s157))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8025, 36, 46559])).
% 9.78/7.25 tff(46561,plain,
% 9.78/7.25 (xuntil6(s157)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46560, 46558])).
% 9.78/7.25 tff(46562,plain,
% 9.78/7.25 (until5(s158)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[8005, 46561])).
% 9.78/7.25 tff(46563,plain,
% 9.78/7.25 (~node4(s158)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7989, 22, 45960])).
% 9.78/7.25 tff(46564,plain,
% 9.78/7.25 (xuntil6(s158) | (~until5(s158))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7996, 36, 46563])).
% 9.78/7.25 tff(46565,plain,
% 9.78/7.25 (xuntil6(s158)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46564, 46562])).
% 9.78/7.25 tff(46566,plain,
% 9.78/7.25 (until5(s159)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7976, 46565])).
% 9.78/7.25 tff(46567,plain,
% 9.78/7.25 (~node4(s159)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7960, 22, 45959])).
% 9.78/7.25 tff(46568,plain,
% 9.78/7.25 (xuntil6(s159) | (~until5(s159))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7967, 36, 46567])).
% 9.78/7.25 tff(46569,plain,
% 9.78/7.25 (xuntil6(s159)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46568, 46566])).
% 9.78/7.25 tff(46570,plain,
% 9.78/7.25 (until5(s160)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7947, 46569])).
% 9.78/7.25 tff(46571,plain,
% 9.78/7.25 (~node4(s160)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7931, 22, 45958])).
% 9.78/7.25 tff(46572,plain,
% 9.78/7.25 (xuntil6(s160) | (~until5(s160))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7938, 36, 46571])).
% 9.78/7.25 tff(46573,plain,
% 9.78/7.25 (xuntil6(s160)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46572, 46570])).
% 9.78/7.25 tff(46574,plain,
% 9.78/7.25 (until5(s161)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7918, 46573])).
% 9.78/7.25 tff(46575,plain,
% 9.78/7.25 (~node4(s161)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7902, 22, 45957])).
% 9.78/7.25 tff(46576,plain,
% 9.78/7.25 (xuntil6(s161) | (~until5(s161))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7909, 36, 46575])).
% 9.78/7.25 tff(46577,plain,
% 9.78/7.25 (xuntil6(s161)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46576, 46574])).
% 9.78/7.25 tff(46578,plain,
% 9.78/7.25 (until5(s162)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7889, 46577])).
% 9.78/7.25 tff(46579,plain,
% 9.78/7.25 (~node4(s162)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7873, 22, 45956])).
% 9.78/7.25 tff(46580,plain,
% 9.78/7.25 (xuntil6(s162) | (~until5(s162))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7880, 36, 46579])).
% 9.78/7.25 tff(46581,plain,
% 9.78/7.25 (xuntil6(s162)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46580, 46578])).
% 9.78/7.25 tff(46582,plain,
% 9.78/7.25 (until5(s163)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7860, 46581])).
% 9.78/7.25 tff(46583,plain,
% 9.78/7.25 (~node4(s163)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7844, 22, 45955])).
% 9.78/7.25 tff(46584,plain,
% 9.78/7.25 (xuntil6(s163) | (~until5(s163))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7851, 36, 46583])).
% 9.78/7.25 tff(46585,plain,
% 9.78/7.25 (xuntil6(s163)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46584, 46582])).
% 9.78/7.25 tff(46586,plain,
% 9.78/7.25 (until5(s164)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7831, 46585])).
% 9.78/7.25 tff(46587,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7815, 22, 45954])).
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7822, 36, 46587])).
% 9.78/7.25 tff(46589,plain,
% 9.78/7.25 (xuntil6(s164)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46588, 46586])).
% 9.78/7.25 tff(46590,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7802, 46589])).
% 9.78/7.25 tff(46591,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7786, 22, 45953])).
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7793, 36, 46591])).
% 9.78/7.25 tff(46593,plain,
% 9.78/7.25 (xuntil6(s165)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46592, 46590])).
% 9.78/7.25 tff(46594,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7773, 46593])).
% 9.78/7.25 tff(46595,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7757, 22, 45952])).
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7764, 36, 46595])).
% 9.78/7.25 tff(46597,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[46596, 46594])).
% 9.78/7.25 tff(46598,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7744, 46597])).
% 9.78/7.25 tff(46599,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7728, 22, 45951])).
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7735, 36, 46599])).
% 9.78/7.25 tff(46601,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[46600, 46598])).
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7715, 46601])).
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7699, 22, 45950])).
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7706, 36, 46603])).
% 9.78/7.25 tff(46605,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[46604, 46602])).
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7686, 46605])).
% 9.78/7.25 tff(46607,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7670, 22, 45949])).
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% 9.78/7.25 (xuntil6(s169) | (~until5(s169))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7677, 36, 46607])).
% 9.78/7.25 tff(46609,plain,
% 9.78/7.25 (xuntil6(s169)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46608, 46606])).
% 9.78/7.25 tff(46610,plain,
% 9.78/7.25 (until5(s170)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7657, 46609])).
% 9.78/7.25 tff(46611,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7641, 22, 45948])).
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% 9.78/7.25 (xuntil6(s170) | (~until5(s170))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7648, 36, 46611])).
% 9.78/7.25 tff(46613,plain,
% 9.78/7.25 (xuntil6(s170)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46612, 46610])).
% 9.78/7.25 tff(46614,plain,
% 9.78/7.25 (until5(s171)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7628, 46613])).
% 9.78/7.25 tff(46615,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7612, 22, 45947])).
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% 9.78/7.25 (xuntil6(s171) | (~until5(s171))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7619, 36, 46615])).
% 9.78/7.25 tff(46617,plain,
% 9.78/7.25 (xuntil6(s171)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46616, 46614])).
% 9.78/7.25 tff(46618,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7599, 46617])).
% 9.78/7.25 tff(46619,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7583, 22, 45946])).
% 9.78/7.25 tff(46620,plain,
% 9.78/7.25 (xuntil6(s172) | (~until5(s172))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7590, 36, 46619])).
% 9.78/7.25 tff(46621,plain,
% 9.78/7.25 (xuntil6(s172)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46620, 46618])).
% 9.78/7.25 tff(46622,plain,
% 9.78/7.25 (until5(s173)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7570, 46621])).
% 9.78/7.25 tff(46623,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7554, 22, 45945])).
% 9.78/7.25 tff(46624,plain,
% 9.78/7.25 (xuntil6(s173) | (~until5(s173))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7561, 36, 46623])).
% 9.78/7.25 tff(46625,plain,
% 9.78/7.25 (xuntil6(s173)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46624, 46622])).
% 9.78/7.25 tff(46626,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7541, 46625])).
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7525, 22, 45944])).
% 9.78/7.25 tff(46628,plain,
% 9.78/7.25 (xuntil6(s174) | (~until5(s174))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7532, 36, 46627])).
% 9.78/7.25 tff(46629,plain,
% 9.78/7.25 (xuntil6(s174)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46628, 46626])).
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7512, 46629])).
% 9.78/7.25 tff(46631,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7496, 22, 45943])).
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7503, 36, 46631])).
% 9.78/7.25 tff(46633,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[46632, 46630])).
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7483, 46633])).
% 9.78/7.25 tff(46635,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7467, 22, 45942])).
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7474, 36, 46635])).
% 9.78/7.25 tff(46637,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[46636, 46634])).
% 9.78/7.25 tff(46638,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7454, 46637])).
% 9.78/7.25 tff(46639,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7438, 22, 45941])).
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7445, 36, 46639])).
% 9.78/7.25 tff(46641,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[46640, 46638])).
% 9.78/7.25 tff(46642,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7425, 46641])).
% 9.78/7.25 tff(46643,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7409, 22, 45940])).
% 9.78/7.25 tff(46644,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7416, 36, 46643])).
% 9.78/7.25 tff(46645,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[46644, 46642])).
% 9.78/7.25 tff(46646,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7396, 46645])).
% 9.78/7.25 tff(46647,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7380, 22, 45939])).
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7387, 36, 46647])).
% 9.78/7.25 tff(46649,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[46648, 46646])).
% 9.78/7.25 tff(46650,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7367, 46649])).
% 9.78/7.25 tff(46651,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7351, 22, 45938])).
% 9.78/7.25 tff(46652,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7358, 36, 46651])).
% 9.78/7.25 tff(46653,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[46652, 46650])).
% 9.78/7.25 tff(46654,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7338, 46653])).
% 9.78/7.25 tff(46655,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7322, 22, 45937])).
% 9.78/7.25 tff(46656,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7329, 36, 46655])).
% 9.78/7.25 tff(46657,plain,
% 9.78/7.25 (xuntil6(s181)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46656, 46654])).
% 9.78/7.25 tff(46658,plain,
% 9.78/7.25 (until5(s182)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7309, 46657])).
% 9.78/7.25 tff(46659,plain,
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% 9.78/7.25 inference(unit_resolution,[status(thm)],[7293, 22, 45936])).
% 9.78/7.25 tff(46660,plain,
% 9.78/7.25 (xuntil6(s182) | (~until5(s182))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7300, 36, 46659])).
% 9.78/7.25 tff(46661,plain,
% 9.78/7.25 (xuntil6(s182)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46660, 46658])).
% 9.78/7.25 tff(46662,plain,
% 9.78/7.25 (until5(s183)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7280, 46661])).
% 9.78/7.25 tff(46663,plain,
% 9.78/7.25 (~node4(s183)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7264, 22, 45935])).
% 9.78/7.25 tff(46664,plain,
% 9.78/7.25 (xuntil6(s183) | (~until5(s183))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7271, 36, 46663])).
% 9.78/7.25 tff(46665,plain,
% 9.78/7.25 (xuntil6(s183)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46664, 46662])).
% 9.78/7.25 tff(46666,plain,
% 9.78/7.25 (until5(s184)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7251, 46665])).
% 9.78/7.25 tff(46667,plain,
% 9.78/7.25 (~node4(s184)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7235, 22, 45934])).
% 9.78/7.25 tff(46668,plain,
% 9.78/7.25 (xuntil6(s184) | (~until5(s184))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7242, 36, 46667])).
% 9.78/7.25 tff(46669,plain,
% 9.78/7.25 (xuntil6(s184)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46668, 46666])).
% 9.78/7.25 tff(46670,plain,
% 9.78/7.25 (until5(s185)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7222, 46669])).
% 9.78/7.25 tff(46671,plain,
% 9.78/7.25 (~node4(s185)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7206, 22, 45933])).
% 9.78/7.25 tff(46672,plain,
% 9.78/7.25 (xuntil6(s185) | (~until5(s185))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7213, 36, 46671])).
% 9.78/7.25 tff(46673,plain,
% 9.78/7.25 (xuntil6(s185)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46672, 46670])).
% 9.78/7.25 tff(46674,plain,
% 9.78/7.25 (until5(s186)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7193, 46673])).
% 9.78/7.25 tff(46675,plain,
% 9.78/7.25 (~node4(s186)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7177, 22, 45932])).
% 9.78/7.25 tff(46676,plain,
% 9.78/7.25 (xuntil6(s186) | (~until5(s186))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7184, 36, 46675])).
% 9.78/7.25 tff(46677,plain,
% 9.78/7.25 (xuntil6(s186)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46676, 46674])).
% 9.78/7.25 tff(46678,plain,
% 9.78/7.25 (until5(s187)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7164, 46677])).
% 9.78/7.25 tff(46679,plain,
% 9.78/7.25 (~node4(s187)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7148, 22, 45931])).
% 9.78/7.25 tff(46680,plain,
% 9.78/7.25 (xuntil6(s187) | (~until5(s187))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7155, 36, 46679])).
% 9.78/7.25 tff(46681,plain,
% 9.78/7.25 (xuntil6(s187)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46680, 46678])).
% 9.78/7.25 tff(46682,plain,
% 9.78/7.25 (until5(s188)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7135, 46681])).
% 9.78/7.25 tff(46683,plain,
% 9.78/7.25 (~node4(s188)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7119, 22, 45930])).
% 9.78/7.25 tff(46684,plain,
% 9.78/7.25 (xuntil6(s188) | (~until5(s188))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7126, 36, 46683])).
% 9.78/7.25 tff(46685,plain,
% 9.78/7.25 (xuntil6(s188)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46684, 46682])).
% 9.78/7.25 tff(46686,plain,
% 9.78/7.25 (until5(s189)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7106, 46685])).
% 9.78/7.25 tff(46687,plain,
% 9.78/7.25 (~node4(s189)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7090, 22, 45929])).
% 9.78/7.25 tff(46688,plain,
% 9.78/7.25 (xuntil6(s189) | (~until5(s189))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7097, 36, 46687])).
% 9.78/7.25 tff(46689,plain,
% 9.78/7.25 (xuntil6(s189)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46688, 46686])).
% 9.78/7.25 tff(46690,plain,
% 9.78/7.25 (until5(s190)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7077, 46689])).
% 9.78/7.25 tff(46691,plain,
% 9.78/7.25 (~node4(s190)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7061, 22, 45928])).
% 9.78/7.25 tff(46692,plain,
% 9.78/7.25 (xuntil6(s190) | (~until5(s190))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7068, 36, 46691])).
% 9.78/7.25 tff(46693,plain,
% 9.78/7.25 (xuntil6(s190)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46692, 46690])).
% 9.78/7.25 tff(46694,plain,
% 9.78/7.25 (until5(s191)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7048, 46693])).
% 9.78/7.25 tff(46695,plain,
% 9.78/7.25 (~node4(s191)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7032, 22, 45927])).
% 9.78/7.25 tff(46696,plain,
% 9.78/7.25 (xuntil6(s191) | (~until5(s191))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7039, 36, 46695])).
% 9.78/7.25 tff(46697,plain,
% 9.78/7.25 (xuntil6(s191)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46696, 46694])).
% 9.78/7.25 tff(46698,plain,
% 9.78/7.25 (until5(s192)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7019, 46697])).
% 9.78/7.25 tff(46699,plain,
% 9.78/7.25 (~node4(s192)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7003, 22, 45926])).
% 9.78/7.25 tff(46700,plain,
% 9.78/7.25 (xuntil6(s192) | (~until5(s192))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[7010, 36, 46699])).
% 9.78/7.25 tff(46701,plain,
% 9.78/7.25 (xuntil6(s192)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46700, 46698])).
% 9.78/7.25 tff(46702,plain,
% 9.78/7.25 (until5(s193)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6990, 46701])).
% 9.78/7.25 tff(46703,plain,
% 9.78/7.25 (~node4(s193)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6974, 22, 45925])).
% 9.78/7.25 tff(46704,plain,
% 9.78/7.25 (xuntil6(s193) | (~until5(s193))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6981, 36, 46703])).
% 9.78/7.25 tff(46705,plain,
% 9.78/7.25 (xuntil6(s193)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46704, 46702])).
% 9.78/7.25 tff(46706,plain,
% 9.78/7.25 (until5(s194)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6961, 46705])).
% 9.78/7.25 tff(46707,plain,
% 9.78/7.25 (~node4(s194)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6945, 22, 45924])).
% 9.78/7.25 tff(46708,plain,
% 9.78/7.25 (xuntil6(s194) | (~until5(s194))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6952, 36, 46707])).
% 9.78/7.25 tff(46709,plain,
% 9.78/7.25 (xuntil6(s194)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46708, 46706])).
% 9.78/7.25 tff(46710,plain,
% 9.78/7.25 (until5(s195)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6932, 46709])).
% 9.78/7.25 tff(46711,plain,
% 9.78/7.25 (~node4(s195)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6916, 22, 45923])).
% 9.78/7.25 tff(46712,plain,
% 9.78/7.25 (xuntil6(s195) | (~until5(s195))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6923, 36, 46711])).
% 9.78/7.25 tff(46713,plain,
% 9.78/7.25 (xuntil6(s195)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46712, 46710])).
% 9.78/7.25 tff(46714,plain,
% 9.78/7.25 (until5(s196)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6903, 46713])).
% 9.78/7.25 tff(46715,plain,
% 9.78/7.25 (~node4(s196)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6887, 22, 45922])).
% 9.78/7.25 tff(46716,plain,
% 9.78/7.25 (xuntil6(s196) | (~until5(s196))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6894, 36, 46715])).
% 9.78/7.25 tff(46717,plain,
% 9.78/7.25 (xuntil6(s196)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46716, 46714])).
% 9.78/7.25 tff(46718,plain,
% 9.78/7.25 (until5(s197)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6874, 46717])).
% 9.78/7.25 tff(46719,plain,
% 9.78/7.25 (~node4(s197)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6858, 22, 45921])).
% 9.78/7.25 tff(46720,plain,
% 9.78/7.25 (xuntil6(s197) | (~until5(s197))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6865, 36, 46719])).
% 9.78/7.25 tff(46721,plain,
% 9.78/7.25 (xuntil6(s197)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46720, 46718])).
% 9.78/7.25 tff(46722,plain,
% 9.78/7.25 (until5(s198)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6845, 46721])).
% 9.78/7.25 tff(46723,plain,
% 9.78/7.25 (~node4(s198)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6829, 22, 45920])).
% 9.78/7.25 tff(46724,plain,
% 9.78/7.25 (xuntil6(s198) | (~until5(s198))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6836, 36, 46723])).
% 9.78/7.25 tff(46725,plain,
% 9.78/7.25 (xuntil6(s198)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46724, 46722])).
% 9.78/7.25 tff(46726,plain,
% 9.78/7.25 (until5(s199)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6816, 46725])).
% 9.78/7.25 tff(46727,plain,
% 9.78/7.25 (~node4(s199)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6800, 22, 45919])).
% 9.78/7.25 tff(46728,plain,
% 9.78/7.25 (xuntil6(s199) | (~until5(s199))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6807, 36, 46727])).
% 9.78/7.25 tff(46729,plain,
% 9.78/7.25 (xuntil6(s199)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46728, 46726])).
% 9.78/7.25 tff(46730,plain,
% 9.78/7.25 (until5(s200)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6787, 46729])).
% 9.78/7.25 tff(46731,plain,
% 9.78/7.25 (~node4(s200)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6771, 22, 45918])).
% 9.78/7.25 tff(46732,plain,
% 9.78/7.25 (xuntil6(s200) | (~until5(s200))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6778, 36, 46731])).
% 9.78/7.25 tff(46733,plain,
% 9.78/7.25 (xuntil6(s200)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46732, 46730])).
% 9.78/7.25 tff(46734,plain,
% 9.78/7.25 (until5(s201)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6758, 46733])).
% 9.78/7.25 tff(46735,plain,
% 9.78/7.25 (~node4(s201)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6742, 22, 45917])).
% 9.78/7.25 tff(46736,plain,
% 9.78/7.25 (xuntil6(s201) | (~until5(s201))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6749, 36, 46735])).
% 9.78/7.25 tff(46737,plain,
% 9.78/7.25 (xuntil6(s201)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46736, 46734])).
% 9.78/7.25 tff(46738,plain,
% 9.78/7.25 (until5(s202)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6729, 46737])).
% 9.78/7.25 tff(46739,plain,
% 9.78/7.25 (~node4(s202)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6713, 22, 45916])).
% 9.78/7.25 tff(46740,plain,
% 9.78/7.25 (xuntil6(s202) | (~until5(s202))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6720, 36, 46739])).
% 9.78/7.25 tff(46741,plain,
% 9.78/7.25 (xuntil6(s202)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46740, 46738])).
% 9.78/7.25 tff(46742,plain,
% 9.78/7.25 (until5(s203)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6700, 46741])).
% 9.78/7.25 tff(46743,plain,
% 9.78/7.25 (~node4(s203)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6684, 22, 45915])).
% 9.78/7.25 tff(46744,plain,
% 9.78/7.25 (xuntil6(s203) | (~until5(s203))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6691, 36, 46743])).
% 9.78/7.25 tff(46745,plain,
% 9.78/7.25 (xuntil6(s203)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46744, 46742])).
% 9.78/7.25 tff(46746,plain,
% 9.78/7.25 (until5(s204)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6671, 46745])).
% 9.78/7.25 tff(46747,plain,
% 9.78/7.25 (~node4(s204)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6655, 22, 45914])).
% 9.78/7.25 tff(46748,plain,
% 9.78/7.25 (xuntil6(s204) | (~until5(s204))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6662, 36, 46747])).
% 9.78/7.25 tff(46749,plain,
% 9.78/7.25 (xuntil6(s204)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46748, 46746])).
% 9.78/7.25 tff(46750,plain,
% 9.78/7.25 (until5(s205)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6642, 46749])).
% 9.78/7.25 tff(46751,plain,
% 9.78/7.25 (~node4(s205)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6626, 22, 45913])).
% 9.78/7.25 tff(46752,plain,
% 9.78/7.25 (xuntil6(s205) | (~until5(s205))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6633, 36, 46751])).
% 9.78/7.25 tff(46753,plain,
% 9.78/7.25 (xuntil6(s205)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46752, 46750])).
% 9.78/7.25 tff(46754,plain,
% 9.78/7.25 (until5(s206)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6613, 46753])).
% 9.78/7.25 tff(46755,plain,
% 9.78/7.25 (~node4(s206)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6597, 22, 45912])).
% 9.78/7.25 tff(46756,plain,
% 9.78/7.25 (xuntil6(s206) | (~until5(s206))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6604, 36, 46755])).
% 9.78/7.25 tff(46757,plain,
% 9.78/7.25 (xuntil6(s206)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46756, 46754])).
% 9.78/7.25 tff(46758,plain,
% 9.78/7.25 (until5(s207)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6584, 46757])).
% 9.78/7.25 tff(46759,plain,
% 9.78/7.25 (~node4(s207)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6568, 22, 45911])).
% 9.78/7.25 tff(46760,plain,
% 9.78/7.25 (xuntil6(s207) | (~until5(s207))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6575, 36, 46759])).
% 9.78/7.25 tff(46761,plain,
% 9.78/7.25 (xuntil6(s207)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46760, 46758])).
% 9.78/7.25 tff(46762,plain,
% 9.78/7.25 (until5(s208)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6555, 46761])).
% 9.78/7.25 tff(46763,plain,
% 9.78/7.25 (~node4(s208)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6539, 22, 45910])).
% 9.78/7.25 tff(46764,plain,
% 9.78/7.25 (xuntil6(s208) | (~until5(s208))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6546, 36, 46763])).
% 9.78/7.25 tff(46765,plain,
% 9.78/7.25 (xuntil6(s208)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46764, 46762])).
% 9.78/7.25 tff(46766,plain,
% 9.78/7.25 (until5(s209)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6526, 46765])).
% 9.78/7.25 tff(46767,plain,
% 9.78/7.25 (~node4(s209)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6510, 22, 45909])).
% 9.78/7.25 tff(46768,plain,
% 9.78/7.25 (xuntil6(s209) | (~until5(s209))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6517, 36, 46767])).
% 9.78/7.25 tff(46769,plain,
% 9.78/7.25 (xuntil6(s209)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46768, 46766])).
% 9.78/7.25 tff(46770,plain,
% 9.78/7.25 (until5(s210)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6497, 46769])).
% 9.78/7.25 tff(46771,plain,
% 9.78/7.25 (~node4(s210)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6481, 22, 45908])).
% 9.78/7.25 tff(46772,plain,
% 9.78/7.25 (xuntil6(s210) | (~until5(s210))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6488, 36, 46771])).
% 9.78/7.25 tff(46773,plain,
% 9.78/7.25 (xuntil6(s210)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46772, 46770])).
% 9.78/7.25 tff(46774,plain,
% 9.78/7.25 (until5(s211)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6468, 46773])).
% 9.78/7.25 tff(46775,plain,
% 9.78/7.25 (~node4(s211)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6452, 22, 45907])).
% 9.78/7.25 tff(46776,plain,
% 9.78/7.25 (xuntil6(s211) | (~until5(s211))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6459, 36, 46775])).
% 9.78/7.25 tff(46777,plain,
% 9.78/7.25 (xuntil6(s211)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46776, 46774])).
% 9.78/7.25 tff(46778,plain,
% 9.78/7.25 (until5(s212)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6439, 46777])).
% 9.78/7.25 tff(46779,plain,
% 9.78/7.25 (~node4(s212)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6423, 22, 45906])).
% 9.78/7.25 tff(46780,plain,
% 9.78/7.25 (xuntil6(s212) | (~until5(s212))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6430, 36, 46779])).
% 9.78/7.25 tff(46781,plain,
% 9.78/7.25 (xuntil6(s212)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46780, 46778])).
% 9.78/7.25 tff(46782,plain,
% 9.78/7.25 (until5(s213)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6410, 46781])).
% 9.78/7.25 tff(46783,plain,
% 9.78/7.25 (~node4(s213)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6394, 22, 45905])).
% 9.78/7.25 tff(46784,plain,
% 9.78/7.25 (xuntil6(s213) | (~until5(s213))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6401, 36, 46783])).
% 9.78/7.25 tff(46785,plain,
% 9.78/7.25 (xuntil6(s213)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46784, 46782])).
% 9.78/7.25 tff(46786,plain,
% 9.78/7.25 (until5(s214)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6381, 46785])).
% 9.78/7.25 tff(46787,plain,
% 9.78/7.25 (~node4(s214)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6348, 22, 45904])).
% 9.78/7.25 tff(46788,plain,
% 9.78/7.25 (xuntil6(s214) | (~until5(s214))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6373, 36, 46787])).
% 9.78/7.25 tff(46789,plain,
% 9.78/7.25 (xuntil6(s214)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46788, 46786])).
% 9.78/7.25 tff(46790,plain,
% 9.78/7.25 (until5(s215)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6366, 46789])).
% 9.78/7.25 tff(46791,plain,
% 9.78/7.25 (~node4(s215)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6352, 22, 45903])).
% 9.78/7.25 tff(46792,plain,
% 9.78/7.25 (xuntil6(s215) | (~until5(s215))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6360, 36, 46791])).
% 9.78/7.25 tff(46793,plain,
% 9.78/7.25 (xuntil6(s215)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46792, 46790])).
% 9.78/7.25 tff(46794,plain,
% 9.78/7.25 (until5(s216)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10903, 46793])).
% 9.78/7.25 tff(46795,plain,
% 9.78/7.25 (~node4(s216)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6318, 22, 45902])).
% 9.78/7.25 tff(46796,plain,
% 9.78/7.25 (xuntil6(s216) | (~until5(s216))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10910, 36, 46795])).
% 9.78/7.25 tff(46797,plain,
% 9.78/7.25 (xuntil6(s216)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46796, 46794])).
% 9.78/7.25 tff(46798,plain,
% 9.78/7.25 (until5(s217)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10916, 46797])).
% 9.78/7.25 tff(46799,plain,
% 9.78/7.25 (~node4(s217)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[6302, 22, 45901])).
% 9.78/7.25 tff(46800,plain,
% 9.78/7.25 (xuntil6(s217) | (~until5(s217))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10923, 36, 46799])).
% 9.78/7.25 tff(46801,plain,
% 9.78/7.25 (xuntil6(s217)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46800, 46798])).
% 9.78/7.25 tff(46802,plain,
% 9.78/7.25 (until5(s218)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10928, 46801])).
% 9.78/7.25 tff(46803,plain,
% 9.78/7.25 (~node4(s218)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10932, 22, 45900])).
% 9.78/7.25 tff(46804,plain,
% 9.78/7.25 (xuntil6(s218) | (~until5(s218))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10939, 36, 46803])).
% 9.78/7.25 tff(46805,plain,
% 9.78/7.25 (xuntil6(s218)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46804, 46802])).
% 9.78/7.25 tff(46806,plain,
% 9.78/7.25 (until5(s219)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10945, 46805])).
% 9.78/7.25 tff(46807,plain,
% 9.78/7.25 (~node4(s219)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10949, 22, 45899])).
% 9.78/7.25 tff(46808,plain,
% 9.78/7.25 (xuntil6(s219) | (~until5(s219))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10956, 36, 46807])).
% 9.78/7.25 tff(46809,plain,
% 9.78/7.25 (xuntil6(s219)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46808, 46806])).
% 9.78/7.25 tff(46810,plain,
% 9.78/7.25 (until5(s220)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10962, 46809])).
% 9.78/7.25 tff(46811,plain,
% 9.78/7.25 (~node4(s220)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10966, 22, 45898])).
% 9.78/7.25 tff(46812,plain,
% 9.78/7.25 (xuntil6(s220) | (~until5(s220))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10973, 36, 46811])).
% 9.78/7.25 tff(46813,plain,
% 9.78/7.25 (xuntil6(s220)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46812, 46810])).
% 9.78/7.25 tff(46814,plain,
% 9.78/7.25 (until5(s221)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10979, 46813])).
% 9.78/7.25 tff(46815,plain,
% 9.78/7.25 (~node4(s221)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10983, 22, 45897])).
% 9.78/7.25 tff(46816,plain,
% 9.78/7.25 (xuntil6(s221) | (~until5(s221))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10990, 36, 46815])).
% 9.78/7.25 tff(46817,plain,
% 9.78/7.25 (xuntil6(s221)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46816, 46814])).
% 9.78/7.25 tff(46818,plain,
% 9.78/7.25 (until5(s222)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[10996, 46817])).
% 9.78/7.25 tff(46819,plain,
% 9.78/7.25 (~node4(s222)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11000, 22, 45896])).
% 9.78/7.25 tff(46820,plain,
% 9.78/7.25 (xuntil6(s222) | (~until5(s222))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11007, 36, 46819])).
% 9.78/7.25 tff(46821,plain,
% 9.78/7.25 (xuntil6(s222)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46820, 46818])).
% 9.78/7.25 tff(46822,plain,
% 9.78/7.25 (until5(s223)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11013, 46821])).
% 9.78/7.25 tff(46823,plain,
% 9.78/7.25 (~node4(s223)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11017, 22, 45895])).
% 9.78/7.25 tff(46824,plain,
% 9.78/7.25 (xuntil6(s223) | (~until5(s223))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11024, 36, 46823])).
% 9.78/7.25 tff(46825,plain,
% 9.78/7.25 (xuntil6(s223)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46824, 46822])).
% 9.78/7.25 tff(46826,plain,
% 9.78/7.25 (until5(s224)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11030, 46825])).
% 9.78/7.25 tff(46827,plain,
% 9.78/7.25 (~node4(s224)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11034, 22, 45894])).
% 9.78/7.25 tff(46828,plain,
% 9.78/7.25 (xuntil6(s224) | (~until5(s224))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11041, 36, 46827])).
% 9.78/7.25 tff(46829,plain,
% 9.78/7.25 (xuntil6(s224)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46828, 46826])).
% 9.78/7.25 tff(46830,plain,
% 9.78/7.25 (until5(s225)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11047, 46829])).
% 9.78/7.25 tff(46831,plain,
% 9.78/7.25 (~node4(s225)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11051, 22, 45893])).
% 9.78/7.25 tff(46832,plain,
% 9.78/7.25 (xuntil6(s225) | (~until5(s225))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11058, 36, 46831])).
% 9.78/7.25 tff(46833,plain,
% 9.78/7.25 (xuntil6(s225)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46832, 46830])).
% 9.78/7.25 tff(46834,plain,
% 9.78/7.25 (until5(s226)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11064, 46833])).
% 9.78/7.25 tff(46835,plain,
% 9.78/7.25 (~node4(s226)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11068, 22, 45892])).
% 9.78/7.25 tff(46836,plain,
% 9.78/7.25 (xuntil6(s226) | (~until5(s226))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11075, 36, 46835])).
% 9.78/7.25 tff(46837,plain,
% 9.78/7.25 (xuntil6(s226)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46836, 46834])).
% 9.78/7.25 tff(46838,plain,
% 9.78/7.25 (until5(s227)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11081, 46837])).
% 9.78/7.25 tff(46839,plain,
% 9.78/7.25 (~node4(s227)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11085, 22, 45891])).
% 9.78/7.25 tff(46840,plain,
% 9.78/7.25 (xuntil6(s227) | (~until5(s227))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11092, 36, 46839])).
% 9.78/7.25 tff(46841,plain,
% 9.78/7.25 (xuntil6(s227)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46840, 46838])).
% 9.78/7.25 tff(46842,plain,
% 9.78/7.25 (until5(s228)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11098, 46841])).
% 9.78/7.25 tff(46843,plain,
% 9.78/7.25 (~node4(s228)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11102, 22, 45890])).
% 9.78/7.25 tff(46844,plain,
% 9.78/7.25 (xuntil6(s228) | (~until5(s228))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11109, 36, 46843])).
% 9.78/7.25 tff(46845,plain,
% 9.78/7.25 (xuntil6(s228)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46844, 46842])).
% 9.78/7.25 tff(46846,plain,
% 9.78/7.25 (until5(s229)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11115, 46845])).
% 9.78/7.25 tff(46847,plain,
% 9.78/7.25 (~node4(s229)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11119, 22, 45889])).
% 9.78/7.25 tff(46848,plain,
% 9.78/7.25 (xuntil6(s229) | (~until5(s229))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11126, 36, 46847])).
% 9.78/7.25 tff(46849,plain,
% 9.78/7.25 (xuntil6(s229)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46848, 46846])).
% 9.78/7.25 tff(46850,plain,
% 9.78/7.25 (until5(s230)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11132, 46849])).
% 9.78/7.25 tff(46851,plain,
% 9.78/7.25 (~node4(s230)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11136, 22, 45888])).
% 9.78/7.25 tff(46852,plain,
% 9.78/7.25 (xuntil6(s230) | (~until5(s230))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11143, 36, 46851])).
% 9.78/7.25 tff(46853,plain,
% 9.78/7.25 (xuntil6(s230)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46852, 46850])).
% 9.78/7.25 tff(46854,plain,
% 9.78/7.25 (until5(s231)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11149, 46853])).
% 9.78/7.25 tff(46855,plain,
% 9.78/7.25 (~node4(s231)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11153, 22, 45887])).
% 9.78/7.25 tff(46856,plain,
% 9.78/7.25 (xuntil6(s231) | (~until5(s231))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11160, 36, 46855])).
% 9.78/7.25 tff(46857,plain,
% 9.78/7.25 (xuntil6(s231)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46856, 46854])).
% 9.78/7.25 tff(46858,plain,
% 9.78/7.25 (until5(s232)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11166, 46857])).
% 9.78/7.25 tff(46859,plain,
% 9.78/7.25 (~node4(s232)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11170, 22, 45886])).
% 9.78/7.25 tff(46860,plain,
% 9.78/7.25 (xuntil6(s232) | (~until5(s232))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11177, 36, 46859])).
% 9.78/7.25 tff(46861,plain,
% 9.78/7.25 (xuntil6(s232)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46860, 46858])).
% 9.78/7.25 tff(46862,plain,
% 9.78/7.25 (until5(s233)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11183, 46861])).
% 9.78/7.25 tff(46863,plain,
% 9.78/7.25 (~node4(s233)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11187, 22, 45885])).
% 9.78/7.25 tff(46864,plain,
% 9.78/7.25 (xuntil6(s233) | (~until5(s233))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11194, 36, 46863])).
% 9.78/7.25 tff(46865,plain,
% 9.78/7.25 (xuntil6(s233)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46864, 46862])).
% 9.78/7.25 tff(46866,plain,
% 9.78/7.25 (until5(s234)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11200, 46865])).
% 9.78/7.25 tff(46867,plain,
% 9.78/7.25 (~node4(s234)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11204, 22, 45884])).
% 9.78/7.25 tff(46868,plain,
% 9.78/7.25 (xuntil6(s234) | (~until5(s234))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11211, 36, 46867])).
% 9.78/7.25 tff(46869,plain,
% 9.78/7.25 (xuntil6(s234)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[46868, 46866])).
% 9.78/7.25 tff(46870,plain,
% 9.78/7.25 (until5(s235)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11217, 46869])).
% 9.78/7.25 tff(46871,plain,
% 9.78/7.25 (~node4(s235)),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11221, 22, 45883])).
% 9.78/7.25 tff(46872,plain,
% 9.78/7.25 (xuntil6(s235) | (~until5(s235))),
% 9.78/7.25 inference(unit_resolution,[status(thm)],[11228, 36, 46871])).
% 9.78/7.25 tff(46873,plain,
% 9.78/7.26 (xuntil6(s235)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46872, 46870])).
% 9.78/7.26 tff(46874,plain,
% 9.78/7.26 (until5(s236)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11234, 46873])).
% 9.78/7.26 tff(46875,plain,
% 9.78/7.26 (~node4(s236)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11238, 22, 45882])).
% 9.78/7.26 tff(46876,plain,
% 9.78/7.26 (xuntil6(s236) | (~until5(s236))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11245, 36, 46875])).
% 9.78/7.26 tff(46877,plain,
% 9.78/7.26 (xuntil6(s236)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46876, 46874])).
% 9.78/7.26 tff(46878,plain,
% 9.78/7.26 (until5(s237)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11251, 46877])).
% 9.78/7.26 tff(46879,plain,
% 9.78/7.26 (~node4(s237)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11255, 22, 45881])).
% 9.78/7.26 tff(46880,plain,
% 9.78/7.26 (xuntil6(s237) | (~until5(s237))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11262, 36, 46879])).
% 9.78/7.26 tff(46881,plain,
% 9.78/7.26 (xuntil6(s237)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46880, 46878])).
% 9.78/7.26 tff(46882,plain,
% 9.78/7.26 (until5(s238)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11268, 46881])).
% 9.78/7.26 tff(46883,plain,
% 9.78/7.26 (~node4(s238)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11272, 22, 45880])).
% 9.78/7.26 tff(46884,plain,
% 9.78/7.26 (xuntil6(s238) | (~until5(s238))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11279, 36, 46883])).
% 9.78/7.26 tff(46885,plain,
% 9.78/7.26 (xuntil6(s238)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46884, 46882])).
% 9.78/7.26 tff(46886,plain,
% 9.78/7.26 (until5(s239)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11285, 46885])).
% 9.78/7.26 tff(46887,plain,
% 9.78/7.26 (~node4(s239)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11289, 22, 45879])).
% 9.78/7.26 tff(46888,plain,
% 9.78/7.26 (xuntil6(s239) | (~until5(s239))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11296, 36, 46887])).
% 9.78/7.26 tff(46889,plain,
% 9.78/7.26 (xuntil6(s239)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46888, 46886])).
% 9.78/7.26 tff(46890,plain,
% 9.78/7.26 (until5(s240)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11302, 46889])).
% 9.78/7.26 tff(46891,plain,
% 9.78/7.26 (~node4(s240)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11306, 22, 45878])).
% 9.78/7.26 tff(46892,plain,
% 9.78/7.26 (xuntil6(s240) | (~until5(s240))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11313, 36, 46891])).
% 9.78/7.26 tff(46893,plain,
% 9.78/7.26 (xuntil6(s240)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46892, 46890])).
% 9.78/7.26 tff(46894,plain,
% 9.78/7.26 (until5(s241)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11319, 46893])).
% 9.78/7.26 tff(46895,plain,
% 9.78/7.26 (~node4(s241)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11323, 22, 45877])).
% 9.78/7.26 tff(46896,plain,
% 9.78/7.26 (xuntil6(s241) | (~until5(s241))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11330, 36, 46895])).
% 9.78/7.26 tff(46897,plain,
% 9.78/7.26 (xuntil6(s241)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46896, 46894])).
% 9.78/7.26 tff(46898,plain,
% 9.78/7.26 (until5(s242)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11336, 46897])).
% 9.78/7.26 tff(46899,plain,
% 9.78/7.26 (~node4(s242)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11340, 22, 45876])).
% 9.78/7.26 tff(46900,plain,
% 9.78/7.26 (xuntil6(s242) | (~until5(s242))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11347, 36, 46899])).
% 9.78/7.26 tff(46901,plain,
% 9.78/7.26 (xuntil6(s242)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46900, 46898])).
% 9.78/7.26 tff(46902,plain,
% 9.78/7.26 (until5(s243)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11353, 46901])).
% 9.78/7.26 tff(46903,plain,
% 9.78/7.26 (~node4(s243)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11357, 22, 45875])).
% 9.78/7.26 tff(46904,plain,
% 9.78/7.26 (xuntil6(s243) | (~until5(s243))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11364, 36, 46903])).
% 9.78/7.26 tff(46905,plain,
% 9.78/7.26 (xuntil6(s243)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46904, 46902])).
% 9.78/7.26 tff(46906,plain,
% 9.78/7.26 (until5(s244)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11370, 46905])).
% 9.78/7.26 tff(46907,plain,
% 9.78/7.26 (~node4(s244)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11374, 22, 45874])).
% 9.78/7.26 tff(46908,plain,
% 9.78/7.26 (xuntil6(s244) | (~until5(s244))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11381, 36, 46907])).
% 9.78/7.26 tff(46909,plain,
% 9.78/7.26 (xuntil6(s244)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46908, 46906])).
% 9.78/7.26 tff(46910,plain,
% 9.78/7.26 (until5(s245)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11387, 46909])).
% 9.78/7.26 tff(46911,plain,
% 9.78/7.26 (~node4(s245)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11391, 22, 45873])).
% 9.78/7.26 tff(46912,plain,
% 9.78/7.26 (xuntil6(s245) | (~until5(s245))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11398, 36, 46911])).
% 9.78/7.26 tff(46913,plain,
% 9.78/7.26 (xuntil6(s245)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46912, 46910])).
% 9.78/7.26 tff(46914,plain,
% 9.78/7.26 (until5(s246)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11404, 46913])).
% 9.78/7.26 tff(46915,plain,
% 9.78/7.26 (~node4(s246)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11408, 22, 45872])).
% 9.78/7.26 tff(46916,plain,
% 9.78/7.26 (xuntil6(s246) | (~until5(s246))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11415, 36, 46915])).
% 9.78/7.26 tff(46917,plain,
% 9.78/7.26 (xuntil6(s246)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46916, 46914])).
% 9.78/7.26 tff(46918,plain,
% 9.78/7.26 (until5(s247)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11421, 46917])).
% 9.78/7.26 tff(46919,plain,
% 9.78/7.26 (~node4(s247)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11425, 22, 45871])).
% 9.78/7.26 tff(46920,plain,
% 9.78/7.26 (xuntil6(s247) | (~until5(s247))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11432, 36, 46919])).
% 9.78/7.26 tff(46921,plain,
% 9.78/7.26 (xuntil6(s247)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46920, 46918])).
% 9.78/7.26 tff(46922,plain,
% 9.78/7.26 (until5(s248)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11438, 46921])).
% 9.78/7.26 tff(46923,plain,
% 9.78/7.26 (~node4(s248)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11442, 22, 45870])).
% 9.78/7.26 tff(46924,plain,
% 9.78/7.26 (xuntil6(s248) | (~until5(s248))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11449, 36, 46923])).
% 9.78/7.26 tff(46925,plain,
% 9.78/7.26 (xuntil6(s248)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46924, 46922])).
% 9.78/7.26 tff(46926,plain,
% 9.78/7.26 (until5(s249)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11455, 46925])).
% 9.78/7.26 tff(46927,plain,
% 9.78/7.26 (~node4(s249)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11459, 22, 45869])).
% 9.78/7.26 tff(46928,plain,
% 9.78/7.26 (xuntil6(s249) | (~until5(s249))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11466, 36, 46927])).
% 9.78/7.26 tff(46929,plain,
% 9.78/7.26 (xuntil6(s249)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46928, 46926])).
% 9.78/7.26 tff(46930,plain,
% 9.78/7.26 (until5(s250)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11472, 46929])).
% 9.78/7.26 tff(46931,plain,
% 9.78/7.26 (~node4(s250)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11476, 22, 45868])).
% 9.78/7.26 tff(46932,plain,
% 9.78/7.26 (xuntil6(s250) | (~until5(s250))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11483, 36, 46931])).
% 9.78/7.26 tff(46933,plain,
% 9.78/7.26 (xuntil6(s250)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46932, 46930])).
% 9.78/7.26 tff(46934,plain,
% 9.78/7.26 (until5(s251)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11489, 46933])).
% 9.78/7.26 tff(46935,plain,
% 9.78/7.26 (~node4(s251)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11493, 22, 45867])).
% 9.78/7.26 tff(46936,plain,
% 9.78/7.26 (xuntil6(s251) | (~until5(s251))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11500, 36, 46935])).
% 9.78/7.26 tff(46937,plain,
% 9.78/7.26 (xuntil6(s251)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46936, 46934])).
% 9.78/7.26 tff(46938,plain,
% 9.78/7.26 (until5(s252)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11506, 46937])).
% 9.78/7.26 tff(46939,plain,
% 9.78/7.26 (~node4(s252)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11510, 22, 45866])).
% 9.78/7.26 tff(46940,plain,
% 9.78/7.26 (xuntil6(s252) | (~until5(s252))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11517, 36, 46939])).
% 9.78/7.26 tff(46941,plain,
% 9.78/7.26 (xuntil6(s252)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46940, 46938])).
% 9.78/7.26 tff(46942,plain,
% 9.78/7.26 (until5(s253)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11523, 46941])).
% 9.78/7.26 tff(46943,plain,
% 9.78/7.26 (~node4(s253)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[5080, 22, 45865])).
% 9.78/7.26 tff(46944,plain,
% 9.78/7.26 (xuntil6(s253) | (~until5(s253))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11531, 36, 46943])).
% 9.78/7.26 tff(46945,plain,
% 9.78/7.26 (xuntil6(s253)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46944, 46942])).
% 9.78/7.26 tff(46946,plain,
% 9.78/7.26 (until5(s254)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11537, 46945])).
% 9.78/7.26 tff(46947,plain,
% 9.78/7.26 (~node4(s254)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11541, 22, 45864])).
% 9.78/7.26 tff(46948,plain,
% 9.78/7.26 (xuntil6(s254) | (~until5(s254))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11548, 36, 46947])).
% 9.78/7.26 tff(46949,plain,
% 9.78/7.26 (xuntil6(s254)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46948, 46946])).
% 9.78/7.26 tff(46950,plain,
% 9.78/7.26 (until5(s255)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11554, 46949])).
% 9.78/7.26 tff(46951,plain,
% 9.78/7.26 (~node4(s255)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11558, 22, 45863])).
% 9.78/7.26 tff(46952,plain,
% 9.78/7.26 (xuntil6(s255) | (~until5(s255))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11565, 36, 46951])).
% 9.78/7.26 tff(46953,plain,
% 9.78/7.26 (xuntil6(s255)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46952, 46950])).
% 9.78/7.26 tff(46954,plain,
% 9.78/7.26 (until5(s256)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11571, 46953])).
% 9.78/7.26 tff(46955,plain,
% 9.78/7.26 (~node4(s256)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11575, 22, 45862])).
% 9.78/7.26 tff(46956,plain,
% 9.78/7.26 (xuntil6(s256) | (~until5(s256))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11582, 36, 46955])).
% 9.78/7.26 tff(46957,plain,
% 9.78/7.26 (xuntil6(s256)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46956, 46954])).
% 9.78/7.26 tff(46958,plain,
% 9.78/7.26 (until5(s257)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11588, 46957])).
% 9.78/7.26 tff(46959,plain,
% 9.78/7.26 (~node4(s257)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11592, 22, 45861])).
% 9.78/7.26 tff(46960,plain,
% 9.78/7.26 (xuntil6(s257) | (~until5(s257))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11599, 36, 46959])).
% 9.78/7.26 tff(46961,plain,
% 9.78/7.26 (xuntil6(s257)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46960, 46958])).
% 9.78/7.26 tff(46962,plain,
% 9.78/7.26 (until5(s258)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11605, 46961])).
% 9.78/7.26 tff(46963,plain,
% 9.78/7.26 (~node4(s258)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11609, 22, 45860])).
% 9.78/7.26 tff(46964,plain,
% 9.78/7.26 (xuntil6(s258) | (~until5(s258))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11616, 36, 46963])).
% 9.78/7.26 tff(46965,plain,
% 9.78/7.26 (xuntil6(s258)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46964, 46962])).
% 9.78/7.26 tff(46966,plain,
% 9.78/7.26 (until5(s259)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11622, 46965])).
% 9.78/7.26 tff(46967,plain,
% 9.78/7.26 (~node4(s259)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11626, 22, 45859])).
% 9.78/7.26 tff(46968,plain,
% 9.78/7.26 (xuntil6(s259) | (~until5(s259))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11633, 36, 46967])).
% 9.78/7.26 tff(46969,plain,
% 9.78/7.26 (xuntil6(s259)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46968, 46966])).
% 9.78/7.26 tff(46970,plain,
% 9.78/7.26 (until5(s260)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11639, 46969])).
% 9.78/7.26 tff(46971,plain,
% 9.78/7.26 (~node4(s260)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11643, 22, 45858])).
% 9.78/7.26 tff(46972,plain,
% 9.78/7.26 (xuntil6(s260) | (~until5(s260))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11650, 36, 46971])).
% 9.78/7.26 tff(46973,plain,
% 9.78/7.26 (xuntil6(s260)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46972, 46970])).
% 9.78/7.26 tff(46974,plain,
% 9.78/7.26 (until5(s261)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11656, 46973])).
% 9.78/7.26 tff(46975,plain,
% 9.78/7.26 (~node4(s261)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11660, 22, 45857])).
% 9.78/7.26 tff(46976,plain,
% 9.78/7.26 (xuntil6(s261) | (~until5(s261))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11667, 36, 46975])).
% 9.78/7.26 tff(46977,plain,
% 9.78/7.26 (xuntil6(s261)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46976, 46974])).
% 9.78/7.26 tff(46978,plain,
% 9.78/7.26 (until5(s262)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11673, 46977])).
% 9.78/7.26 tff(46979,plain,
% 9.78/7.26 (~node4(s262)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11677, 22, 45856])).
% 9.78/7.26 tff(46980,plain,
% 9.78/7.26 (xuntil6(s262) | (~until5(s262))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11684, 36, 46979])).
% 9.78/7.26 tff(46981,plain,
% 9.78/7.26 (xuntil6(s262)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46980, 46978])).
% 9.78/7.26 tff(46982,plain,
% 9.78/7.26 (until5(s263)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11690, 46981])).
% 9.78/7.26 tff(46983,plain,
% 9.78/7.26 (~node4(s263)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11694, 22, 45855])).
% 9.78/7.26 tff(46984,plain,
% 9.78/7.26 (xuntil6(s263) | (~until5(s263))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11701, 36, 46983])).
% 9.78/7.26 tff(46985,plain,
% 9.78/7.26 (xuntil6(s263)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46984, 46982])).
% 9.78/7.26 tff(46986,plain,
% 9.78/7.26 (until5(s264)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11707, 46985])).
% 9.78/7.26 tff(46987,plain,
% 9.78/7.26 (~node4(s264)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11711, 22, 45854])).
% 9.78/7.26 tff(46988,plain,
% 9.78/7.26 (xuntil6(s264) | (~until5(s264))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11718, 36, 46987])).
% 9.78/7.26 tff(46989,plain,
% 9.78/7.26 (xuntil6(s264)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46988, 46986])).
% 9.78/7.26 tff(46990,plain,
% 9.78/7.26 (until5(s265)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11724, 46989])).
% 9.78/7.26 tff(46991,plain,
% 9.78/7.26 (~node4(s265)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11728, 22, 45853])).
% 9.78/7.26 tff(46992,plain,
% 9.78/7.26 (xuntil6(s265) | (~until5(s265))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11735, 36, 46991])).
% 9.78/7.26 tff(46993,plain,
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% 9.78/7.26 inference(unit_resolution,[status(thm)],[46992, 46990])).
% 9.78/7.26 tff(46994,plain,
% 9.78/7.26 (until5(s266)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11741, 46993])).
% 9.78/7.26 tff(46995,plain,
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% 9.78/7.26 inference(unit_resolution,[status(thm)],[11745, 22, 45852])).
% 9.78/7.26 tff(46996,plain,
% 9.78/7.26 (xuntil6(s266) | (~until5(s266))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11752, 36, 46995])).
% 9.78/7.26 tff(46997,plain,
% 9.78/7.26 (xuntil6(s266)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[46996, 46994])).
% 9.78/7.26 tff(46998,plain,
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% 9.78/7.26 inference(unit_resolution,[status(thm)],[11758, 46997])).
% 9.78/7.26 tff(46999,plain,
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% 9.78/7.26 inference(unit_resolution,[status(thm)],[11762, 22, 45851])).
% 9.78/7.26 tff(47000,plain,
% 9.78/7.26 (xuntil6(s267) | (~until5(s267))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11769, 36, 46999])).
% 9.78/7.26 tff(47001,plain,
% 9.78/7.26 (xuntil6(s267)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47000, 46998])).
% 9.78/7.26 tff(47002,plain,
% 9.78/7.26 (until5(s268)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11775, 47001])).
% 9.78/7.26 tff(47003,plain,
% 9.78/7.26 (~node4(s268)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11779, 22, 45850])).
% 9.78/7.26 tff(47004,plain,
% 9.78/7.26 (xuntil6(s268) | (~until5(s268))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11786, 36, 47003])).
% 9.78/7.26 tff(47005,plain,
% 9.78/7.26 (xuntil6(s268)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47004, 47002])).
% 9.78/7.26 tff(47006,plain,
% 9.78/7.26 (until5(s269)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11792, 47005])).
% 9.78/7.26 tff(47007,plain,
% 9.78/7.26 (~node4(s269)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11796, 22, 45849])).
% 9.78/7.26 tff(47008,plain,
% 9.78/7.26 (xuntil6(s269) | (~until5(s269))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11803, 36, 47007])).
% 9.78/7.26 tff(47009,plain,
% 9.78/7.26 (xuntil6(s269)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47008, 47006])).
% 9.78/7.26 tff(47010,plain,
% 9.78/7.26 (until5(s270)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11809, 47009])).
% 9.78/7.26 tff(47011,plain,
% 9.78/7.26 (~node4(s270)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11813, 22, 45848])).
% 9.78/7.26 tff(47012,plain,
% 9.78/7.26 (xuntil6(s270) | (~until5(s270))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11820, 36, 47011])).
% 9.78/7.26 tff(47013,plain,
% 9.78/7.26 (xuntil6(s270)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47012, 47010])).
% 9.78/7.26 tff(47014,plain,
% 9.78/7.26 (until5(s271)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11826, 47013])).
% 9.78/7.26 tff(47015,plain,
% 9.78/7.26 (~node4(s271)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11830, 22, 45847])).
% 9.78/7.26 tff(47016,plain,
% 9.78/7.26 (xuntil6(s271) | (~until5(s271))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11837, 36, 47015])).
% 9.78/7.26 tff(47017,plain,
% 9.78/7.26 (xuntil6(s271)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47016, 47014])).
% 9.78/7.26 tff(47018,plain,
% 9.78/7.26 (until5(s272)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11843, 47017])).
% 9.78/7.26 tff(47019,plain,
% 9.78/7.26 (~node4(s272)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11847, 22, 45846])).
% 9.78/7.26 tff(47020,plain,
% 9.78/7.26 (xuntil6(s272) | (~until5(s272))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11854, 36, 47019])).
% 9.78/7.26 tff(47021,plain,
% 9.78/7.26 (xuntil6(s272)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47020, 47018])).
% 9.78/7.26 tff(47022,plain,
% 9.78/7.26 (until5(s273)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11860, 47021])).
% 9.78/7.26 tff(47023,plain,
% 9.78/7.26 (~node4(s273)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11864, 22, 45845])).
% 9.78/7.26 tff(47024,plain,
% 9.78/7.26 (xuntil6(s273) | (~until5(s273))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11871, 36, 47023])).
% 9.78/7.26 tff(47025,plain,
% 9.78/7.26 (xuntil6(s273)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47024, 47022])).
% 9.78/7.26 tff(47026,plain,
% 9.78/7.26 (until5(s274)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11877, 47025])).
% 9.78/7.26 tff(47027,plain,
% 9.78/7.26 (~node4(s274)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11881, 22, 45844])).
% 9.78/7.26 tff(47028,plain,
% 9.78/7.26 (xuntil6(s274) | (~until5(s274))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11888, 36, 47027])).
% 9.78/7.26 tff(47029,plain,
% 9.78/7.26 (xuntil6(s274)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47028, 47026])).
% 9.78/7.26 tff(47030,plain,
% 9.78/7.26 (until5(s275)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11894, 47029])).
% 9.78/7.26 tff(47031,plain,
% 9.78/7.26 (~node4(s275)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11898, 22, 45843])).
% 9.78/7.26 tff(47032,plain,
% 9.78/7.26 (xuntil6(s275) | (~until5(s275))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11905, 36, 47031])).
% 9.78/7.26 tff(47033,plain,
% 9.78/7.26 (xuntil6(s275)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47032, 47030])).
% 9.78/7.26 tff(47034,plain,
% 9.78/7.26 (until5(s276)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11911, 47033])).
% 9.78/7.26 tff(47035,plain,
% 9.78/7.26 (~node4(s276)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11915, 22, 45842])).
% 9.78/7.26 tff(47036,plain,
% 9.78/7.26 (xuntil6(s276) | (~until5(s276))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11922, 36, 47035])).
% 9.78/7.26 tff(47037,plain,
% 9.78/7.26 (xuntil6(s276)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47036, 47034])).
% 9.78/7.26 tff(47038,plain,
% 9.78/7.26 (until5(s277)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11928, 47037])).
% 9.78/7.26 tff(47039,plain,
% 9.78/7.26 (~node4(s277)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11932, 22, 45841])).
% 9.78/7.26 tff(47040,plain,
% 9.78/7.26 (xuntil6(s277) | (~until5(s277))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11939, 36, 47039])).
% 9.78/7.26 tff(47041,plain,
% 9.78/7.26 (xuntil6(s277)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47040, 47038])).
% 9.78/7.26 tff(47042,plain,
% 9.78/7.26 (until5(s278)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11945, 47041])).
% 9.78/7.26 tff(47043,plain,
% 9.78/7.26 (~node4(s278)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11949, 22, 45840])).
% 9.78/7.26 tff(47044,plain,
% 9.78/7.26 (xuntil6(s278) | (~until5(s278))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11956, 36, 47043])).
% 9.78/7.26 tff(47045,plain,
% 9.78/7.26 (xuntil6(s278)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47044, 47042])).
% 9.78/7.26 tff(47046,plain,
% 9.78/7.26 (until5(s279)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11962, 47045])).
% 9.78/7.26 tff(47047,plain,
% 9.78/7.26 (~node4(s279)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11966, 22, 45839])).
% 9.78/7.26 tff(47048,plain,
% 9.78/7.26 (xuntil6(s279) | (~until5(s279))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11973, 36, 47047])).
% 9.78/7.26 tff(47049,plain,
% 9.78/7.26 (xuntil6(s279)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47048, 47046])).
% 9.78/7.26 tff(47050,plain,
% 9.78/7.26 (until5(s280)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11979, 47049])).
% 9.78/7.26 tff(47051,plain,
% 9.78/7.26 (~node4(s280)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11983, 22, 45838])).
% 9.78/7.26 tff(47052,plain,
% 9.78/7.26 (xuntil6(s280) | (~until5(s280))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11990, 36, 47051])).
% 9.78/7.26 tff(47053,plain,
% 9.78/7.26 (xuntil6(s280)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47052, 47050])).
% 9.78/7.26 tff(47054,plain,
% 9.78/7.26 (until5(s281)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[11996, 47053])).
% 9.78/7.26 tff(47055,plain,
% 9.78/7.26 (~node4(s281)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12000, 22, 45837])).
% 9.78/7.26 tff(47056,plain,
% 9.78/7.26 (xuntil6(s281) | (~until5(s281))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12007, 36, 47055])).
% 9.78/7.26 tff(47057,plain,
% 9.78/7.26 (xuntil6(s281)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47056, 47054])).
% 9.78/7.26 tff(47058,plain,
% 9.78/7.26 (until5(s282)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12013, 47057])).
% 9.78/7.26 tff(47059,plain,
% 9.78/7.26 (~node4(s282)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12017, 22, 45836])).
% 9.78/7.26 tff(47060,plain,
% 9.78/7.26 (xuntil6(s282) | (~until5(s282))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12024, 36, 47059])).
% 9.78/7.26 tff(47061,plain,
% 9.78/7.26 (xuntil6(s282)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47060, 47058])).
% 9.78/7.26 tff(47062,plain,
% 9.78/7.26 (until5(s283)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12030, 47061])).
% 9.78/7.26 tff(47063,plain,
% 9.78/7.26 (~node4(s283)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12034, 22, 45835])).
% 9.78/7.26 tff(47064,plain,
% 9.78/7.26 (xuntil6(s283) | (~until5(s283))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12041, 36, 47063])).
% 9.78/7.26 tff(47065,plain,
% 9.78/7.26 (xuntil6(s283)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47064, 47062])).
% 9.78/7.26 tff(47066,plain,
% 9.78/7.26 (until5(s284)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12047, 47065])).
% 9.78/7.26 tff(47067,plain,
% 9.78/7.26 (~node4(s284)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12051, 22, 45834])).
% 9.78/7.26 tff(47068,plain,
% 9.78/7.26 (xuntil6(s284) | (~until5(s284))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12058, 36, 47067])).
% 9.78/7.26 tff(47069,plain,
% 9.78/7.26 (xuntil6(s284)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47068, 47066])).
% 9.78/7.26 tff(47070,plain,
% 9.78/7.26 (until5(s285)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12064, 47069])).
% 9.78/7.26 tff(47071,plain,
% 9.78/7.26 (~node4(s285)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12068, 22, 45833])).
% 9.78/7.26 tff(47072,plain,
% 9.78/7.26 (xuntil6(s285) | (~until5(s285))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12075, 36, 47071])).
% 9.78/7.26 tff(47073,plain,
% 9.78/7.26 (xuntil6(s285)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47072, 47070])).
% 9.78/7.26 tff(47074,plain,
% 9.78/7.26 (until5(s286)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12081, 47073])).
% 9.78/7.26 tff(47075,plain,
% 9.78/7.26 (~node4(s286)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12085, 22, 45832])).
% 9.78/7.26 tff(47076,plain,
% 9.78/7.26 (xuntil6(s286) | (~until5(s286))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12092, 36, 47075])).
% 9.78/7.26 tff(47077,plain,
% 9.78/7.26 (xuntil6(s286)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47076, 47074])).
% 9.78/7.26 tff(47078,plain,
% 9.78/7.26 (until5(s287)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12098, 47077])).
% 9.78/7.26 tff(47079,plain,
% 9.78/7.26 (~node4(s287)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12102, 22, 45831])).
% 9.78/7.26 tff(47080,plain,
% 9.78/7.26 (xuntil6(s287) | (~until5(s287))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12109, 36, 47079])).
% 9.78/7.26 tff(47081,plain,
% 9.78/7.26 (xuntil6(s287)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47080, 47078])).
% 9.78/7.26 tff(47082,plain,
% 9.78/7.26 (until5(s288)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12115, 47081])).
% 9.78/7.26 tff(47083,plain,
% 9.78/7.26 (~node4(s288)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12119, 22, 45830])).
% 9.78/7.26 tff(47084,plain,
% 9.78/7.26 (xuntil6(s288) | (~until5(s288))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12126, 36, 47083])).
% 9.78/7.26 tff(47085,plain,
% 9.78/7.26 (xuntil6(s288)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47084, 47082])).
% 9.78/7.26 tff(47086,plain,
% 9.78/7.26 (until5(s289)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12132, 47085])).
% 9.78/7.26 tff(47087,plain,
% 9.78/7.26 (~node4(s289)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12136, 22, 45829])).
% 9.78/7.26 tff(47088,plain,
% 9.78/7.26 (xuntil6(s289) | (~until5(s289))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12143, 36, 47087])).
% 9.78/7.26 tff(47089,plain,
% 9.78/7.26 (xuntil6(s289)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47088, 47086])).
% 9.78/7.26 tff(47090,plain,
% 9.78/7.26 (until5(s290)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12149, 47089])).
% 9.78/7.26 tff(47091,plain,
% 9.78/7.26 (~node4(s290)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12153, 22, 45828])).
% 9.78/7.26 tff(47092,plain,
% 9.78/7.26 (xuntil6(s290) | (~until5(s290))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12160, 36, 47091])).
% 9.78/7.26 tff(47093,plain,
% 9.78/7.26 (xuntil6(s290)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47092, 47090])).
% 9.78/7.26 tff(47094,plain,
% 9.78/7.26 (until5(s291)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12166, 47093])).
% 9.78/7.26 tff(47095,plain,
% 9.78/7.26 (~node4(s291)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12170, 22, 45827])).
% 9.78/7.26 tff(47096,plain,
% 9.78/7.26 (xuntil6(s291) | (~until5(s291))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12177, 36, 47095])).
% 9.78/7.26 tff(47097,plain,
% 9.78/7.26 (xuntil6(s291)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47096, 47094])).
% 9.78/7.26 tff(47098,plain,
% 9.78/7.26 (until5(s292)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12183, 47097])).
% 9.78/7.26 tff(47099,plain,
% 9.78/7.26 (~node4(s292)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12187, 22, 45826])).
% 9.78/7.26 tff(47100,plain,
% 9.78/7.26 (xuntil6(s292) | (~until5(s292))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12194, 36, 47099])).
% 9.78/7.26 tff(47101,plain,
% 9.78/7.26 (xuntil6(s292)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47100, 47098])).
% 9.78/7.26 tff(47102,plain,
% 9.78/7.26 (until5(s293)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12200, 47101])).
% 9.78/7.26 tff(47103,plain,
% 9.78/7.26 (~node4(s293)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12204, 22, 45825])).
% 9.78/7.26 tff(47104,plain,
% 9.78/7.26 (xuntil6(s293) | (~until5(s293))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12211, 36, 47103])).
% 9.78/7.26 tff(47105,plain,
% 9.78/7.26 (xuntil6(s293)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47104, 47102])).
% 9.78/7.26 tff(47106,plain,
% 9.78/7.26 (until5(s294)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12217, 47105])).
% 9.78/7.26 tff(47107,plain,
% 9.78/7.26 (~node4(s294)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12221, 22, 45824])).
% 9.78/7.26 tff(47108,plain,
% 9.78/7.26 (xuntil6(s294) | (~until5(s294))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12228, 36, 47107])).
% 9.78/7.26 tff(47109,plain,
% 9.78/7.26 (xuntil6(s294)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47108, 47106])).
% 9.78/7.26 tff(47110,plain,
% 9.78/7.26 (until5(s295)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12234, 47109])).
% 9.78/7.26 tff(47111,plain,
% 9.78/7.26 (~node4(s295)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12238, 22, 45823])).
% 9.78/7.26 tff(47112,plain,
% 9.78/7.26 (xuntil6(s295) | (~until5(s295))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12245, 36, 47111])).
% 9.78/7.26 tff(47113,plain,
% 9.78/7.26 (xuntil6(s295)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47112, 47110])).
% 9.78/7.26 tff(47114,plain,
% 9.78/7.26 (until5(s296)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12251, 47113])).
% 9.78/7.26 tff(47115,plain,
% 9.78/7.26 (~node4(s296)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12255, 22, 45822])).
% 9.78/7.26 tff(47116,plain,
% 9.78/7.26 (xuntil6(s296) | (~until5(s296))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12262, 36, 47115])).
% 9.78/7.26 tff(47117,plain,
% 9.78/7.26 (xuntil6(s296)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47116, 47114])).
% 9.78/7.26 tff(47118,plain,
% 9.78/7.26 (until5(s297)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12268, 47117])).
% 9.78/7.26 tff(47119,plain,
% 9.78/7.26 (~node4(s297)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12272, 22, 45821])).
% 9.78/7.26 tff(47120,plain,
% 9.78/7.26 (xuntil6(s297) | (~until5(s297))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12279, 36, 47119])).
% 9.78/7.26 tff(47121,plain,
% 9.78/7.26 (xuntil6(s297)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47120, 47118])).
% 9.78/7.26 tff(47122,plain,
% 9.78/7.26 (until5(s298)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12285, 47121])).
% 9.78/7.26 tff(47123,plain,
% 9.78/7.26 (~node4(s298)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12289, 22, 45820])).
% 9.78/7.26 tff(47124,plain,
% 9.78/7.26 (xuntil6(s298) | (~until5(s298))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12296, 36, 47123])).
% 9.78/7.26 tff(47125,plain,
% 9.78/7.26 (xuntil6(s298)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47124, 47122])).
% 9.78/7.26 tff(47126,plain,
% 9.78/7.26 (until5(s299)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12302, 47125])).
% 9.78/7.26 tff(47127,plain,
% 9.78/7.26 (~node4(s299)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12306, 22, 45819])).
% 9.78/7.26 tff(47128,plain,
% 9.78/7.26 (xuntil6(s299) | (~until5(s299))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12313, 36, 47127])).
% 9.78/7.26 tff(47129,plain,
% 9.78/7.26 (xuntil6(s299)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47128, 47126])).
% 9.78/7.26 tff(47130,plain,
% 9.78/7.26 (until5(s300)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12319, 47129])).
% 9.78/7.26 tff(47131,plain,
% 9.78/7.26 (~node4(s300)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12323, 22, 45818])).
% 9.78/7.26 tff(47132,plain,
% 9.78/7.26 (xuntil6(s300) | (~until5(s300))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12330, 36, 47131])).
% 9.78/7.26 tff(47133,plain,
% 9.78/7.26 (xuntil6(s300)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47132, 47130])).
% 9.78/7.26 tff(47134,plain,
% 9.78/7.26 (until5(s301)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12336, 47133])).
% 9.78/7.26 tff(47135,plain,
% 9.78/7.26 (~node4(s301)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12340, 22, 45817])).
% 9.78/7.26 tff(47136,plain,
% 9.78/7.26 (xuntil6(s301) | (~until5(s301))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12347, 36, 47135])).
% 9.78/7.26 tff(47137,plain,
% 9.78/7.26 (xuntil6(s301)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47136, 47134])).
% 9.78/7.26 tff(47138,plain,
% 9.78/7.26 (until5(s302)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12353, 47137])).
% 9.78/7.26 tff(47139,plain,
% 9.78/7.26 (~node4(s302)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12357, 22, 45816])).
% 9.78/7.26 tff(47140,plain,
% 9.78/7.26 (xuntil6(s302) | (~until5(s302))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12364, 36, 47139])).
% 9.78/7.26 tff(47141,plain,
% 9.78/7.26 (xuntil6(s302)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47140, 47138])).
% 9.78/7.26 tff(47142,plain,
% 9.78/7.26 (until5(s303)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12370, 47141])).
% 9.78/7.26 tff(47143,plain,
% 9.78/7.26 (~node4(s303)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12374, 22, 45815])).
% 9.78/7.26 tff(47144,plain,
% 9.78/7.26 (xuntil6(s303) | (~until5(s303))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12381, 36, 47143])).
% 9.78/7.26 tff(47145,plain,
% 9.78/7.26 (xuntil6(s303)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47144, 47142])).
% 9.78/7.26 tff(47146,plain,
% 9.78/7.26 (until5(s304)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12387, 47145])).
% 9.78/7.26 tff(47147,plain,
% 9.78/7.26 (~node4(s304)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12391, 22, 45814])).
% 9.78/7.26 tff(47148,plain,
% 9.78/7.26 (xuntil6(s304) | (~until5(s304))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12398, 36, 47147])).
% 9.78/7.26 tff(47149,plain,
% 9.78/7.26 (xuntil6(s304)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47148, 47146])).
% 9.78/7.26 tff(47150,plain,
% 9.78/7.26 (until5(s305)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12404, 47149])).
% 9.78/7.26 tff(47151,plain,
% 9.78/7.26 (~node4(s305)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12408, 22, 45813])).
% 9.78/7.26 tff(47152,plain,
% 9.78/7.26 (xuntil6(s305) | (~until5(s305))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12415, 36, 47151])).
% 9.78/7.26 tff(47153,plain,
% 9.78/7.26 (xuntil6(s305)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47152, 47150])).
% 9.78/7.26 tff(47154,plain,
% 9.78/7.26 (until5(s306)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12421, 47153])).
% 9.78/7.26 tff(47155,plain,
% 9.78/7.26 (~node4(s306)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12425, 22, 45812])).
% 9.78/7.26 tff(47156,plain,
% 9.78/7.26 (xuntil6(s306) | (~until5(s306))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12432, 36, 47155])).
% 9.78/7.26 tff(47157,plain,
% 9.78/7.26 (xuntil6(s306)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47156, 47154])).
% 9.78/7.26 tff(47158,plain,
% 9.78/7.26 (until5(s307)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12438, 47157])).
% 9.78/7.26 tff(47159,plain,
% 9.78/7.26 (~node4(s307)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12442, 22, 45811])).
% 9.78/7.26 tff(47160,plain,
% 9.78/7.26 (xuntil6(s307) | (~until5(s307))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12449, 36, 47159])).
% 9.78/7.26 tff(47161,plain,
% 9.78/7.26 (xuntil6(s307)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47160, 47158])).
% 9.78/7.26 tff(47162,plain,
% 9.78/7.26 (until5(s308)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12455, 47161])).
% 9.78/7.26 tff(47163,plain,
% 9.78/7.26 (~node4(s308)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12459, 22, 45810])).
% 9.78/7.26 tff(47164,plain,
% 9.78/7.26 (xuntil6(s308) | (~until5(s308))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12466, 36, 47163])).
% 9.78/7.26 tff(47165,plain,
% 9.78/7.26 (xuntil6(s308)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47164, 47162])).
% 9.78/7.26 tff(47166,plain,
% 9.78/7.26 (until5(s309)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12472, 47165])).
% 9.78/7.26 tff(47167,plain,
% 9.78/7.26 (~node4(s309)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12476, 22, 45809])).
% 9.78/7.26 tff(47168,plain,
% 9.78/7.26 (xuntil6(s309) | (~until5(s309))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12483, 36, 47167])).
% 9.78/7.26 tff(47169,plain,
% 9.78/7.26 (xuntil6(s309)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47168, 47166])).
% 9.78/7.26 tff(47170,plain,
% 9.78/7.26 (until5(s310)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12489, 47169])).
% 9.78/7.26 tff(47171,plain,
% 9.78/7.26 (~node4(s310)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12493, 22, 45808])).
% 9.78/7.26 tff(47172,plain,
% 9.78/7.26 (xuntil6(s310) | (~until5(s310))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12500, 36, 47171])).
% 9.78/7.26 tff(47173,plain,
% 9.78/7.26 (xuntil6(s310)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47172, 47170])).
% 9.78/7.26 tff(47174,plain,
% 9.78/7.26 (until5(s311)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12506, 47173])).
% 9.78/7.26 tff(47175,plain,
% 9.78/7.26 (~node4(s311)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12510, 22, 45807])).
% 9.78/7.26 tff(47176,plain,
% 9.78/7.26 (xuntil6(s311) | (~until5(s311))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12517, 36, 47175])).
% 9.78/7.26 tff(47177,plain,
% 9.78/7.26 (xuntil6(s311)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47176, 47174])).
% 9.78/7.26 tff(47178,plain,
% 9.78/7.26 (until5(s312)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12523, 47177])).
% 9.78/7.26 tff(47179,plain,
% 9.78/7.26 (~node4(s312)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12527, 22, 45806])).
% 9.78/7.26 tff(47180,plain,
% 9.78/7.26 (xuntil6(s312) | (~until5(s312))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12534, 36, 47179])).
% 9.78/7.26 tff(47181,plain,
% 9.78/7.26 (xuntil6(s312)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47180, 47178])).
% 9.78/7.26 tff(47182,plain,
% 9.78/7.26 (until5(s313)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12540, 47181])).
% 9.78/7.26 tff(47183,plain,
% 9.78/7.26 (~node4(s313)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12544, 22, 45805])).
% 9.78/7.26 tff(47184,plain,
% 9.78/7.26 (xuntil6(s313) | (~until5(s313))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12551, 36, 47183])).
% 9.78/7.26 tff(47185,plain,
% 9.78/7.26 (xuntil6(s313)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47184, 47182])).
% 9.78/7.26 tff(47186,plain,
% 9.78/7.26 (until5(s314)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12557, 47185])).
% 9.78/7.26 tff(47187,plain,
% 9.78/7.26 (~node4(s314)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12561, 22, 45804])).
% 9.78/7.26 tff(47188,plain,
% 9.78/7.26 (xuntil6(s314) | (~until5(s314))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12568, 36, 47187])).
% 9.78/7.26 tff(47189,plain,
% 9.78/7.26 (xuntil6(s314)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47188, 47186])).
% 9.78/7.26 tff(47190,plain,
% 9.78/7.26 (until5(s315)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12574, 47189])).
% 9.78/7.26 tff(47191,plain,
% 9.78/7.26 (~node4(s315)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12916, 22, 45803])).
% 9.78/7.26 tff(47192,plain,
% 9.78/7.26 (xuntil6(s315) | (~until5(s315))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12923, 36, 47191])).
% 9.78/7.26 tff(47193,plain,
% 9.78/7.26 (xuntil6(s315)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47192, 47190])).
% 9.78/7.26 tff(47194,plain,
% 9.78/7.26 (until5(s316)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12911, 47193])).
% 9.78/7.26 tff(47195,plain,
% 9.78/7.26 (~node4(s316)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12898, 22, 45802])).
% 9.78/7.26 tff(47196,plain,
% 9.78/7.26 (xuntil6(s316) | (~until5(s316))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12905, 36, 47195])).
% 9.78/7.26 tff(47197,plain,
% 9.78/7.26 (xuntil6(s316)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47196, 47194])).
% 9.78/7.26 tff(47198,plain,
% 9.78/7.26 (until5(s317)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12885, 47197])).
% 9.78/7.26 tff(47199,plain,
% 9.78/7.26 (~node4(s317)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12869, 22, 45801])).
% 9.78/7.26 tff(47200,plain,
% 9.78/7.26 (xuntil6(s317) | (~until5(s317))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12876, 36, 47199])).
% 9.78/7.26 tff(47201,plain,
% 9.78/7.26 (xuntil6(s317)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47200, 47198])).
% 9.78/7.26 tff(47202,plain,
% 9.78/7.26 (until5(s318)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12856, 47201])).
% 9.78/7.26 tff(47203,plain,
% 9.78/7.26 (~node4(s318)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12840, 22, 45800])).
% 9.78/7.26 tff(47204,plain,
% 9.78/7.26 (xuntil6(s318) | (~until5(s318))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12847, 36, 47203])).
% 9.78/7.26 tff(47205,plain,
% 9.78/7.26 (xuntil6(s318)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47204, 47202])).
% 9.78/7.26 tff(47206,plain,
% 9.78/7.26 (until5(s319)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12827, 47205])).
% 9.78/7.26 tff(47207,plain,
% 9.78/7.26 (~node4(s319)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12811, 22, 45799])).
% 9.78/7.26 tff(47208,plain,
% 9.78/7.26 (xuntil6(s319) | (~until5(s319))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12818, 36, 47207])).
% 9.78/7.26 tff(47209,plain,
% 9.78/7.26 (xuntil6(s319)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47208, 47206])).
% 9.78/7.26 tff(47210,plain,
% 9.78/7.26 (until5(s320)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12798, 47209])).
% 9.78/7.26 tff(47211,plain,
% 9.78/7.26 (~node4(s320)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12782, 22, 45798])).
% 9.78/7.26 tff(47212,plain,
% 9.78/7.26 (xuntil6(s320) | (~until5(s320))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12789, 36, 47211])).
% 9.78/7.26 tff(47213,plain,
% 9.78/7.26 (xuntil6(s320)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47212, 47210])).
% 9.78/7.26 tff(47214,plain,
% 9.78/7.26 (until5(s321)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12769, 47213])).
% 9.78/7.26 tff(47215,plain,
% 9.78/7.26 (~node4(s321)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12753, 22, 45797])).
% 9.78/7.26 tff(47216,plain,
% 9.78/7.26 (xuntil6(s321) | (~until5(s321))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12760, 36, 47215])).
% 9.78/7.26 tff(47217,plain,
% 9.78/7.26 (xuntil6(s321)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47216, 47214])).
% 9.78/7.26 tff(47218,plain,
% 9.78/7.26 (until5(s322)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12740, 47217])).
% 9.78/7.26 tff(47219,plain,
% 9.78/7.26 (~node4(s322)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12724, 22, 45796])).
% 9.78/7.26 tff(47220,plain,
% 9.78/7.26 (xuntil6(s322) | (~until5(s322))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12731, 36, 47219])).
% 9.78/7.26 tff(47221,plain,
% 9.78/7.26 (xuntil6(s322)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47220, 47218])).
% 9.78/7.26 tff(47222,plain,
% 9.78/7.26 (until5(s323)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12711, 47221])).
% 9.78/7.26 tff(47223,plain,
% 9.78/7.26 (~node4(s323)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12695, 22, 45795])).
% 9.78/7.26 tff(47224,plain,
% 9.78/7.26 (xuntil6(s323) | (~until5(s323))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12702, 36, 47223])).
% 9.78/7.26 tff(47225,plain,
% 9.78/7.26 (xuntil6(s323)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47224, 47222])).
% 9.78/7.26 tff(47226,plain,
% 9.78/7.26 (until5(s324)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12682, 47225])).
% 9.78/7.26 tff(47227,plain,
% 9.78/7.26 (~node4(s324)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12666, 22, 45794])).
% 9.78/7.26 tff(47228,plain,
% 9.78/7.26 (xuntil6(s324) | (~until5(s324))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12673, 36, 47227])).
% 9.78/7.26 tff(47229,plain,
% 9.78/7.26 (xuntil6(s324)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47228, 47226])).
% 9.78/7.26 tff(47230,plain,
% 9.78/7.26 (until5(s325)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12653, 47229])).
% 9.78/7.26 tff(47231,plain,
% 9.78/7.26 (~node4(s325)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12637, 22, 45793])).
% 9.78/7.26 tff(47232,plain,
% 9.78/7.26 (xuntil6(s325) | (~until5(s325))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12644, 36, 47231])).
% 9.78/7.26 tff(47233,plain,
% 9.78/7.26 (xuntil6(s325)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47232, 47230])).
% 9.78/7.26 tff(47234,plain,
% 9.78/7.26 (until5(s326)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12624, 47233])).
% 9.78/7.26 tff(47235,plain,
% 9.78/7.26 (~node4(s326)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12592, 22, 45792])).
% 9.78/7.26 tff(47236,plain,
% 9.78/7.26 (xuntil6(s326) | (~until5(s326))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12616, 36, 47235])).
% 9.78/7.26 tff(47237,plain,
% 9.78/7.26 (xuntil6(s326)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47236, 47234])).
% 9.78/7.26 tff(47238,plain,
% 9.78/7.26 (until5(s327)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12609, 47237])).
% 9.78/7.26 tff(47239,plain,
% 9.78/7.26 (~node4(s327)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12596, 22, 45791])).
% 9.78/7.26 tff(47240,plain,
% 9.78/7.26 (xuntil6(s327) | (~until5(s327))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[12603, 36, 47239])).
% 9.78/7.26 tff(47241,plain,
% 9.78/7.26 (xuntil6(s327)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47240, 47238])).
% 9.78/7.26 tff(47242,plain,
% 9.78/7.26 (until5(s328)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[42734, 47241])).
% 9.78/7.26 tff(47243,plain,
% 9.78/7.26 (~node4(s328)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[42752, 22, 45790])).
% 9.78/7.26 tff(47244,plain,
% 9.78/7.26 (xuntil6(s328) | (~until5(s328))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[42776, 36, 47243])).
% 9.78/7.26 tff(47245,plain,
% 9.78/7.26 (xuntil6(s328)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47244, 47242])).
% 9.78/7.26 tff(47246,plain,
% 9.78/7.26 (until5(s329)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[42769, 47245])).
% 9.78/7.26 tff(47247,plain,
% 9.78/7.26 (~node4(s329)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[42756, 22, 45789])).
% 9.78/7.26 tff(47248,plain,
% 9.78/7.26 (xuntil6(s329) | (~until5(s329))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[42763, 36, 47247])).
% 9.78/7.26 tff(47249,plain,
% 9.78/7.26 (xuntil6(s329)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47248, 47246])).
% 9.78/7.26 tff(47250,plain,
% 9.78/7.26 (until5(s330)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[43423, 47249])).
% 9.78/7.26 tff(47251,plain,
% 9.78/7.26 (~node4(s330)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[43441, 22, 45788])).
% 9.78/7.26 tff(47252,plain,
% 9.78/7.26 (xuntil6(s330) | (~until5(s330))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[43465, 36, 47251])).
% 9.78/7.26 tff(47253,plain,
% 9.78/7.26 (xuntil6(s330)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47252, 47250])).
% 9.78/7.26 tff(47254,plain,
% 9.78/7.26 (until5(s331)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[43458, 47253])).
% 9.78/7.26 tff(47255,plain,
% 9.78/7.26 (~node4(s331)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[43445, 22, 45787])).
% 9.78/7.26 tff(47256,plain,
% 9.78/7.26 (xuntil6(s331) | (~until5(s331))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[43452, 36, 47255])).
% 9.78/7.26 tff(47257,plain,
% 9.78/7.26 (xuntil6(s331)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47256, 47254])).
% 9.78/7.26 tff(47258,plain,
% 9.78/7.26 (until5(s332)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[44117, 47257])).
% 9.78/7.26 tff(47259,plain,
% 9.78/7.26 (~node4(s332)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[44126, 22, 45786])).
% 9.78/7.26 tff(47260,plain,
% 9.78/7.26 (xuntil6(s332) | (~until5(s332))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[44167, 36, 47259])).
% 9.78/7.26 tff(47261,plain,
% 9.78/7.26 (xuntil6(s332)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47260, 47258])).
% 9.78/7.26 tff(47262,plain,
% 9.78/7.26 (until5(s333)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[44173, 47261])).
% 9.78/7.26 tff(47263,plain,
% 9.78/7.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s333) | (~node4(s333)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s333) | (~node4(s333)))),
% 9.78/7.26 inference(rewrite,[status(thm)],[])).
% 9.78/7.26 tff(47264,plain,
% 9.78/7.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s333) | (~node4(s333)))),
% 9.78/7.26 inference(quant_inst,[status(thm)],[])).
% 9.78/7.26 tff(47265,plain,
% 9.78/7.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s333) | (~node4(s333))),
% 9.78/7.26 inference(modus_ponens,[status(thm)],[47264, 47263])).
% 9.78/7.26 tff(47266,plain,
% 9.78/7.26 (~node4(s333)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47265, 22, 45785])).
% 9.78/7.26 tff(47267,plain,
% 9.78/7.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s333) | node4(s333) | (~until5(s333)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s333) | node4(s333) | (~until5(s333)))),
% 9.78/7.26 inference(rewrite,[status(thm)],[])).
% 9.78/7.26 tff(47268,plain,
% 9.78/7.26 ((node4(s333) | (~until5(s333)) | xuntil6(s333)) <=> (xuntil6(s333) | node4(s333) | (~until5(s333)))),
% 9.78/7.26 inference(rewrite,[status(thm)],[])).
% 9.78/7.26 tff(47269,plain,
% 9.78/7.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s333) | (~until5(s333)) | xuntil6(s333))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s333) | node4(s333) | (~until5(s333))))),
% 9.78/7.26 inference(monotonicity,[status(thm)],[47268])).
% 9.78/7.26 tff(47270,plain,
% 9.78/7.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s333) | (~until5(s333)) | xuntil6(s333))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s333) | node4(s333) | (~until5(s333)))),
% 9.78/7.26 inference(transitivity,[status(thm)],[47269, 47267])).
% 9.78/7.26 tff(47271,plain,
% 9.78/7.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s333) | (~until5(s333)) | xuntil6(s333))),
% 9.78/7.26 inference(quant_inst,[status(thm)],[])).
% 9.78/7.26 tff(47272,plain,
% 9.78/7.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s333) | node4(s333) | (~until5(s333))),
% 9.78/7.26 inference(modus_ponens,[status(thm)],[47271, 47270])).
% 9.78/7.26 tff(47273,plain,
% 9.78/7.26 (xuntil6(s333) | (~until5(s333))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47272, 36, 47266])).
% 9.78/7.26 tff(47274,plain,
% 9.78/7.26 (xuntil6(s333)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47273, 47262])).
% 9.78/7.26 tff(47275,plain,
% 9.78/7.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s333, s334)) | (~xuntil6(s333)) | until5(s334))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s333, s334)) | (~xuntil6(s333)) | until5(s334))),
% 9.78/7.26 inference(rewrite,[status(thm)],[])).
% 9.78/7.26 tff(47276,plain,
% 9.78/7.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s333, s334)) | (~xuntil6(s333)) | until5(s334))),
% 9.78/7.26 inference(quant_inst,[status(thm)],[])).
% 9.78/7.26 tff(47277,plain,
% 9.78/7.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s333, s334)) | (~xuntil6(s333)) | until5(s334)),
% 9.78/7.26 inference(modus_ponens,[status(thm)],[47276, 47275])).
% 9.78/7.26 tff(47278,plain,
% 9.78/7.26 ((~xuntil6(s333)) | until5(s334)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47277, 45776, 141])).
% 9.78/7.26 tff(47279,plain,
% 9.78/7.26 (until5(s334)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47278, 47274])).
% 9.78/7.26 tff(47280,plain,
% 9.78/7.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s334) | (~node4(s334)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s334) | (~node4(s334)))),
% 9.78/7.26 inference(rewrite,[status(thm)],[])).
% 9.78/7.26 tff(47281,plain,
% 9.78/7.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s334) | (~node4(s334)))),
% 9.78/7.26 inference(quant_inst,[status(thm)],[])).
% 9.78/7.26 tff(47282,plain,
% 9.78/7.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s334) | (~node4(s334))),
% 9.78/7.26 inference(modus_ponens,[status(thm)],[47281, 47280])).
% 9.78/7.26 tff(47283,plain,
% 9.78/7.26 (~node4(s334)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47282, 22, 45773])).
% 9.78/7.26 tff(47284,plain,
% 9.78/7.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s334) | node4(s334) | (~until5(s334)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s334) | node4(s334) | (~until5(s334)))),
% 9.78/7.26 inference(rewrite,[status(thm)],[])).
% 9.78/7.26 tff(47285,plain,
% 9.78/7.26 ((node4(s334) | (~until5(s334)) | xuntil6(s334)) <=> (xuntil6(s334) | node4(s334) | (~until5(s334)))),
% 9.78/7.26 inference(rewrite,[status(thm)],[])).
% 9.78/7.26 tff(47286,plain,
% 9.78/7.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s334) | (~until5(s334)) | xuntil6(s334))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s334) | node4(s334) | (~until5(s334))))),
% 9.78/7.26 inference(monotonicity,[status(thm)],[47285])).
% 9.78/7.26 tff(47287,plain,
% 9.78/7.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s334) | (~until5(s334)) | xuntil6(s334))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s334) | node4(s334) | (~until5(s334)))),
% 9.78/7.26 inference(transitivity,[status(thm)],[47286, 47284])).
% 9.78/7.26 tff(47288,plain,
% 9.78/7.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s334) | (~until5(s334)) | xuntil6(s334))),
% 9.78/7.26 inference(quant_inst,[status(thm)],[])).
% 9.78/7.26 tff(47289,plain,
% 9.78/7.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s334) | node4(s334) | (~until5(s334))),
% 9.78/7.26 inference(modus_ponens,[status(thm)],[47288, 47287])).
% 9.78/7.26 tff(47290,plain,
% 9.78/7.26 (xuntil6(s334) | (~until5(s334))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47289, 36, 47283])).
% 9.78/7.26 tff(47291,plain,
% 9.78/7.26 (xuntil6(s334)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47290, 47279])).
% 9.78/7.26 tff(47292,plain,
% 9.78/7.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s334, s335)) | (~xuntil6(s334)) | until5(s335))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s334, s335)) | (~xuntil6(s334)) | until5(s335))),
% 9.78/7.26 inference(rewrite,[status(thm)],[])).
% 9.78/7.26 tff(47293,plain,
% 9.78/7.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s334, s335)) | (~xuntil6(s334)) | until5(s335))),
% 9.78/7.26 inference(quant_inst,[status(thm)],[])).
% 9.78/7.26 tff(47294,plain,
% 9.78/7.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s334, s335)) | (~xuntil6(s334)) | until5(s335)),
% 9.78/7.26 inference(modus_ponens,[status(thm)],[47293, 47292])).
% 9.78/7.26 tff(47295,plain,
% 9.78/7.26 ((~xuntil6(s334)) | until5(s335)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47294, 45764, 141])).
% 9.78/7.26 tff(47296,plain,
% 9.78/7.26 (until5(s335)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47295, 47291])).
% 9.78/7.26 tff(47297,plain,
% 9.78/7.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s335) | (~node4(s335)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s335) | (~node4(s335)))),
% 9.78/7.26 inference(rewrite,[status(thm)],[])).
% 9.78/7.26 tff(47298,plain,
% 9.78/7.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s335) | (~node4(s335)))),
% 9.78/7.26 inference(quant_inst,[status(thm)],[])).
% 9.78/7.26 tff(47299,plain,
% 9.78/7.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s335) | (~node4(s335))),
% 9.78/7.26 inference(modus_ponens,[status(thm)],[47298, 47297])).
% 9.78/7.26 tff(47300,plain,
% 9.78/7.26 (~node4(s335)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47299, 22, 45761])).
% 9.78/7.26 tff(47301,plain,
% 9.78/7.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s335) | node4(s335) | (~until5(s335)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s335) | node4(s335) | (~until5(s335)))),
% 9.78/7.26 inference(rewrite,[status(thm)],[])).
% 9.78/7.26 tff(47302,plain,
% 9.78/7.26 ((node4(s335) | (~until5(s335)) | xuntil6(s335)) <=> (xuntil6(s335) | node4(s335) | (~until5(s335)))),
% 9.78/7.26 inference(rewrite,[status(thm)],[])).
% 9.78/7.26 tff(47303,plain,
% 9.78/7.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s335) | (~until5(s335)) | xuntil6(s335))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s335) | node4(s335) | (~until5(s335))))),
% 9.78/7.26 inference(monotonicity,[status(thm)],[47302])).
% 9.78/7.26 tff(47304,plain,
% 9.78/7.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s335) | (~until5(s335)) | xuntil6(s335))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s335) | node4(s335) | (~until5(s335)))),
% 9.78/7.26 inference(transitivity,[status(thm)],[47303, 47301])).
% 9.78/7.26 tff(47305,plain,
% 9.78/7.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s335) | (~until5(s335)) | xuntil6(s335))),
% 9.78/7.26 inference(quant_inst,[status(thm)],[])).
% 9.78/7.26 tff(47306,plain,
% 9.78/7.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s335) | node4(s335) | (~until5(s335))),
% 9.78/7.26 inference(modus_ponens,[status(thm)],[47305, 47304])).
% 9.78/7.26 tff(47307,plain,
% 9.78/7.26 (xuntil6(s335) | (~until5(s335))),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47306, 36, 47300])).
% 9.78/7.26 tff(47308,plain,
% 9.78/7.26 (xuntil6(s335)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47307, 47296])).
% 9.78/7.26 tff(47309,plain,
% 9.78/7.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s335, s336)) | (~xuntil6(s335)) | until5(s336))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s335, s336)) | (~xuntil6(s335)) | until5(s336))),
% 9.78/7.26 inference(rewrite,[status(thm)],[])).
% 9.78/7.26 tff(47310,plain,
% 9.78/7.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s335, s336)) | (~xuntil6(s335)) | until5(s336))),
% 9.78/7.26 inference(quant_inst,[status(thm)],[])).
% 9.78/7.26 tff(47311,plain,
% 9.78/7.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s335, s336)) | (~xuntil6(s335)) | until5(s336)),
% 9.78/7.26 inference(modus_ponens,[status(thm)],[47310, 47309])).
% 9.78/7.26 tff(47312,plain,
% 9.78/7.26 ((~xuntil6(s335)) | until5(s336)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47311, 45752, 141])).
% 9.78/7.26 tff(47313,plain,
% 9.78/7.26 (until5(s336)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47312, 47308])).
% 9.78/7.26 tff(47314,plain,
% 9.78/7.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s336) | (~node4(s336)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s336) | (~node4(s336)))),
% 9.78/7.26 inference(rewrite,[status(thm)],[])).
% 9.78/7.26 tff(47315,plain,
% 9.78/7.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s336) | (~node4(s336)))),
% 9.78/7.26 inference(quant_inst,[status(thm)],[])).
% 9.78/7.26 tff(47316,plain,
% 9.78/7.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s336) | (~node4(s336))),
% 9.78/7.26 inference(modus_ponens,[status(thm)],[47315, 47314])).
% 9.78/7.26 tff(47317,plain,
% 9.78/7.26 (~node4(s336)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47316, 22, 45749])).
% 9.78/7.26 tff(47318,plain,
% 9.78/7.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s336) | node4(s336) | (~until5(s336)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s336) | node4(s336) | (~until5(s336)))),
% 9.78/7.26 inference(rewrite,[status(thm)],[])).
% 9.78/7.26 tff(47319,plain,
% 9.78/7.26 ((node4(s336) | (~until5(s336)) | xuntil6(s336)) <=> (xuntil6(s336) | node4(s336) | (~until5(s336)))),
% 9.78/7.26 inference(rewrite,[status(thm)],[])).
% 9.78/7.26 tff(47320,plain,
% 9.78/7.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s336) | (~until5(s336)) | xuntil6(s336))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s336) | node4(s336) | (~until5(s336))))),
% 9.78/7.26 inference(monotonicity,[status(thm)],[47319])).
% 9.78/7.26 tff(47321,plain,
% 9.78/7.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s336) | (~until5(s336)) | xuntil6(s336))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s336) | node4(s336) | (~until5(s336)))),
% 9.78/7.26 inference(transitivity,[status(thm)],[47320, 47318])).
% 9.78/7.26 tff(47322,plain,
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% 9.78/7.26 inference(quant_inst,[status(thm)],[])).
% 9.78/7.26 tff(47323,plain,
% 9.78/7.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s336) | node4(s336) | (~until5(s336))),
% 9.78/7.26 inference(modus_ponens,[status(thm)],[47322, 47321])).
% 9.78/7.26 tff(47324,plain,
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% 9.78/7.26 inference(unit_resolution,[status(thm)],[47323, 36, 47317])).
% 9.78/7.26 tff(47325,plain,
% 9.78/7.26 (xuntil6(s336)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47324, 47313])).
% 9.78/7.26 tff(47326,plain,
% 9.78/7.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s336, s337)) | (~xuntil6(s336)) | until5(s337))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s336, s337)) | (~xuntil6(s336)) | until5(s337))),
% 9.78/7.26 inference(rewrite,[status(thm)],[])).
% 9.78/7.26 tff(47327,plain,
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% 9.78/7.26 inference(quant_inst,[status(thm)],[])).
% 9.78/7.26 tff(47328,plain,
% 9.78/7.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s336, s337)) | (~xuntil6(s336)) | until5(s337)),
% 9.78/7.26 inference(modus_ponens,[status(thm)],[47327, 47326])).
% 9.78/7.26 tff(47329,plain,
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% 9.78/7.26 inference(unit_resolution,[status(thm)],[47328, 45740, 141])).
% 9.78/7.26 tff(47330,plain,
% 9.78/7.26 (until5(s337)),
% 9.78/7.26 inference(unit_resolution,[status(thm)],[47329, 47325])).
% 9.78/7.26 tff(47331,plain,
% 9.78/7.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s337) | (~node4(s337)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s337) | (~node4(s337)))),
% 9.78/7.26 inference(rewrite,[status(thm)],[])).
% 9.78/7.26 tff(47332,plain,
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% 9.78/7.26 inference(quant_inst,[status(thm)],[])).
% 9.78/7.26 tff(47333,plain,
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% 9.78/7.26 inference(modus_ponens,[status(thm)],[47332, 47331])).
% 9.78/7.26 tff(47334,plain,
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% 9.78/7.26 inference(unit_resolution,[status(thm)],[47333, 22, 45737])).
% 9.78/7.26 tff(47335,plain,
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% 9.78/7.26 inference(rewrite,[status(thm)],[])).
% 9.78/7.26 tff(47336,plain,
% 9.78/7.26 ((node4(s337) | (~until5(s337)) | xuntil6(s337)) <=> (xuntil6(s337) | node4(s337) | (~until5(s337)))),
% 9.78/7.26 inference(rewrite,[status(thm)],[])).
% 9.78/7.26 tff(47337,plain,
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% 9.78/7.26 inference(monotonicity,[status(thm)],[47336])).
% 9.78/7.26 tff(47338,plain,
% 9.78/7.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s337) | (~until5(s337)) | xuntil6(s337))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s337) | node4(s337) | (~until5(s337)))),
% 9.78/7.26 inference(transitivity,[status(thm)],[47337, 47335])).
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% 9.78/7.26 inference(quant_inst,[status(thm)],[])).
% 9.78/7.26 tff(47340,plain,
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% 9.78/7.26 inference(modus_ponens,[status(thm)],[47339, 47338])).
% 9.78/7.26 tff(47341,plain,
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% 9.78/7.26 inference(unit_resolution,[status(thm)],[47340, 36, 47334])).
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% 9.78/7.26 inference(unit_resolution,[status(thm)],[47341, 47330])).
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% 9.78/7.26 inference(rewrite,[status(thm)],[])).
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% 9.78/7.26 inference(quant_inst,[status(thm)],[])).
% 9.78/7.26 tff(47345,plain,
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% 9.78/7.26 inference(modus_ponens,[status(thm)],[47344, 47343])).
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% 9.78/7.27 inference(rewrite,[status(thm)],[])).
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% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
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% 9.78/7.27 inference(modus_ponens,[status(thm)],[47349, 47348])).
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% 9.78/7.27 inference(rewrite,[status(thm)],[])).
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% 9.78/7.27 ((node4(s338) | (~until5(s338)) | xuntil6(s338)) <=> (xuntil6(s338) | node4(s338) | (~until5(s338)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
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% 9.78/7.27 inference(monotonicity,[status(thm)],[47353])).
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% 9.78/7.27 inference(transitivity,[status(thm)],[47354, 47352])).
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% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
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% 9.78/7.27 inference(rewrite,[status(thm)],[])).
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% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
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% 9.78/7.27 inference(modus_ponens,[status(thm)],[47361, 47360])).
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% 9.78/7.27 inference(unit_resolution,[status(thm)],[47362, 45716, 141])).
% 9.78/7.27 tff(47364,plain,
% 9.78/7.27 (until5(s339)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47363, 47359])).
% 9.78/7.27 tff(47365,plain,
% 9.78/7.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s339) | (~node4(s339)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s339) | (~node4(s339)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47366,plain,
% 9.78/7.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s339) | (~node4(s339)))),
% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47367,plain,
% 9.78/7.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s339) | (~node4(s339))),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47366, 47365])).
% 9.78/7.27 tff(47368,plain,
% 9.78/7.27 (~node4(s339)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47367, 22, 45713])).
% 9.78/7.27 tff(47369,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s339) | node4(s339) | (~until5(s339)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s339) | node4(s339) | (~until5(s339)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47370,plain,
% 9.78/7.27 ((node4(s339) | (~until5(s339)) | xuntil6(s339)) <=> (xuntil6(s339) | node4(s339) | (~until5(s339)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47371,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s339) | (~until5(s339)) | xuntil6(s339))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s339) | node4(s339) | (~until5(s339))))),
% 9.78/7.27 inference(monotonicity,[status(thm)],[47370])).
% 9.78/7.27 tff(47372,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s339) | (~until5(s339)) | xuntil6(s339))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s339) | node4(s339) | (~until5(s339)))),
% 9.78/7.27 inference(transitivity,[status(thm)],[47371, 47369])).
% 9.78/7.27 tff(47373,plain,
% 9.78/7.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s339) | (~until5(s339)) | xuntil6(s339))),
% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47374,plain,
% 9.78/7.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s339) | node4(s339) | (~until5(s339))),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47373, 47372])).
% 9.78/7.27 tff(47375,plain,
% 9.78/7.27 (xuntil6(s339) | (~until5(s339))),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47374, 36, 47368])).
% 9.78/7.27 tff(47376,plain,
% 9.78/7.27 (xuntil6(s339)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47375, 47364])).
% 9.78/7.27 tff(47377,plain,
% 9.78/7.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s339, s340)) | (~xuntil6(s339)) | until5(s340))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s339, s340)) | (~xuntil6(s339)) | until5(s340))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47378,plain,
% 9.78/7.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s339, s340)) | (~xuntil6(s339)) | until5(s340))),
% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47379,plain,
% 9.78/7.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s339, s340)) | (~xuntil6(s339)) | until5(s340)),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47378, 47377])).
% 9.78/7.27 tff(47380,plain,
% 9.78/7.27 ((~xuntil6(s339)) | until5(s340)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47379, 45704, 141])).
% 9.78/7.27 tff(47381,plain,
% 9.78/7.27 (until5(s340)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47380, 47376])).
% 9.78/7.27 tff(47382,plain,
% 9.78/7.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s340) | (~node4(s340)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s340) | (~node4(s340)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47383,plain,
% 9.78/7.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s340) | (~node4(s340)))),
% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47384,plain,
% 9.78/7.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s340) | (~node4(s340))),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47383, 47382])).
% 9.78/7.27 tff(47385,plain,
% 9.78/7.27 (~node4(s340)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47384, 22, 45701])).
% 9.78/7.27 tff(47386,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s340) | node4(s340) | (~until5(s340)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s340) | node4(s340) | (~until5(s340)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47387,plain,
% 9.78/7.27 ((node4(s340) | (~until5(s340)) | xuntil6(s340)) <=> (xuntil6(s340) | node4(s340) | (~until5(s340)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47388,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s340) | (~until5(s340)) | xuntil6(s340))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s340) | node4(s340) | (~until5(s340))))),
% 9.78/7.27 inference(monotonicity,[status(thm)],[47387])).
% 9.78/7.27 tff(47389,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s340) | (~until5(s340)) | xuntil6(s340))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s340) | node4(s340) | (~until5(s340)))),
% 9.78/7.27 inference(transitivity,[status(thm)],[47388, 47386])).
% 9.78/7.27 tff(47390,plain,
% 9.78/7.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s340) | (~until5(s340)) | xuntil6(s340))),
% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47391,plain,
% 9.78/7.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s340) | node4(s340) | (~until5(s340))),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47390, 47389])).
% 9.78/7.27 tff(47392,plain,
% 9.78/7.27 (xuntil6(s340) | (~until5(s340))),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47391, 36, 47385])).
% 9.78/7.27 tff(47393,plain,
% 9.78/7.27 (xuntil6(s340)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47392, 47381])).
% 9.78/7.27 tff(47394,plain,
% 9.78/7.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s340, s341)) | (~xuntil6(s340)) | until5(s341))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s340, s341)) | (~xuntil6(s340)) | until5(s341))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47395,plain,
% 9.78/7.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s340, s341)) | (~xuntil6(s340)) | until5(s341))),
% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47396,plain,
% 9.78/7.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s340, s341)) | (~xuntil6(s340)) | until5(s341)),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47395, 47394])).
% 9.78/7.27 tff(47397,plain,
% 9.78/7.27 ((~xuntil6(s340)) | until5(s341)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47396, 45692, 141])).
% 9.78/7.27 tff(47398,plain,
% 9.78/7.27 (until5(s341)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47397, 47393])).
% 9.78/7.27 tff(47399,plain,
% 9.78/7.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s341) | (~node4(s341)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s341) | (~node4(s341)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47400,plain,
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% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47401,plain,
% 9.78/7.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s341) | (~node4(s341))),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47400, 47399])).
% 9.78/7.27 tff(47402,plain,
% 9.78/7.27 (~node4(s341)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47401, 22, 45689])).
% 9.78/7.27 tff(47403,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s341) | node4(s341) | (~until5(s341)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s341) | node4(s341) | (~until5(s341)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47404,plain,
% 9.78/7.27 ((node4(s341) | (~until5(s341)) | xuntil6(s341)) <=> (xuntil6(s341) | node4(s341) | (~until5(s341)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47405,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s341) | (~until5(s341)) | xuntil6(s341))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s341) | node4(s341) | (~until5(s341))))),
% 9.78/7.27 inference(monotonicity,[status(thm)],[47404])).
% 9.78/7.27 tff(47406,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s341) | (~until5(s341)) | xuntil6(s341))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s341) | node4(s341) | (~until5(s341)))),
% 9.78/7.27 inference(transitivity,[status(thm)],[47405, 47403])).
% 9.78/7.27 tff(47407,plain,
% 9.78/7.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s341) | (~until5(s341)) | xuntil6(s341))),
% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47408,plain,
% 9.78/7.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s341) | node4(s341) | (~until5(s341))),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47407, 47406])).
% 9.78/7.27 tff(47409,plain,
% 9.78/7.27 (xuntil6(s341) | (~until5(s341))),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47408, 36, 47402])).
% 9.78/7.27 tff(47410,plain,
% 9.78/7.27 (xuntil6(s341)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47409, 47398])).
% 9.78/7.27 tff(47411,plain,
% 9.78/7.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s341, s342)) | (~xuntil6(s341)) | until5(s342))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s341, s342)) | (~xuntil6(s341)) | until5(s342))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47412,plain,
% 9.78/7.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s341, s342)) | (~xuntil6(s341)) | until5(s342))),
% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47413,plain,
% 9.78/7.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s341, s342)) | (~xuntil6(s341)) | until5(s342)),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47412, 47411])).
% 9.78/7.27 tff(47414,plain,
% 9.78/7.27 ((~xuntil6(s341)) | until5(s342)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47413, 45680, 141])).
% 9.78/7.27 tff(47415,plain,
% 9.78/7.27 (until5(s342)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47414, 47410])).
% 9.78/7.27 tff(47416,plain,
% 9.78/7.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s342) | (~node4(s342)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s342) | (~node4(s342)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47417,plain,
% 9.78/7.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s342) | (~node4(s342)))),
% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47418,plain,
% 9.78/7.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s342) | (~node4(s342))),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47417, 47416])).
% 9.78/7.27 tff(47419,plain,
% 9.78/7.27 (~node4(s342)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47418, 22, 45677])).
% 9.78/7.27 tff(47420,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s342) | node4(s342) | (~until5(s342)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s342) | node4(s342) | (~until5(s342)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47421,plain,
% 9.78/7.27 ((node4(s342) | (~until5(s342)) | xuntil6(s342)) <=> (xuntil6(s342) | node4(s342) | (~until5(s342)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47422,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s342) | (~until5(s342)) | xuntil6(s342))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s342) | node4(s342) | (~until5(s342))))),
% 9.78/7.27 inference(monotonicity,[status(thm)],[47421])).
% 9.78/7.27 tff(47423,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s342) | (~until5(s342)) | xuntil6(s342))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s342) | node4(s342) | (~until5(s342)))),
% 9.78/7.27 inference(transitivity,[status(thm)],[47422, 47420])).
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% 9.78/7.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s342) | (~until5(s342)) | xuntil6(s342))),
% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47425,plain,
% 9.78/7.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s342) | node4(s342) | (~until5(s342))),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47424, 47423])).
% 9.78/7.27 tff(47426,plain,
% 9.78/7.27 (xuntil6(s342) | (~until5(s342))),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47425, 36, 47419])).
% 9.78/7.27 tff(47427,plain,
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% 9.78/7.27 inference(unit_resolution,[status(thm)],[47426, 47415])).
% 9.78/7.27 tff(47428,plain,
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% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47429,plain,
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% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47430,plain,
% 9.78/7.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s342, s343)) | (~xuntil6(s342)) | until5(s343)),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47429, 47428])).
% 9.78/7.27 tff(47431,plain,
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% 9.78/7.27 inference(unit_resolution,[status(thm)],[47430, 45668, 141])).
% 9.78/7.27 tff(47432,plain,
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% 9.78/7.27 inference(unit_resolution,[status(thm)],[47431, 47427])).
% 9.78/7.27 tff(47433,plain,
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% 9.78/7.27 inference(rewrite,[status(thm)],[])).
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% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47435,plain,
% 9.78/7.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s343) | (~node4(s343))),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47434, 47433])).
% 9.78/7.27 tff(47436,plain,
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% 9.78/7.27 inference(unit_resolution,[status(thm)],[47435, 22, 45665])).
% 9.78/7.27 tff(47437,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s343) | node4(s343) | (~until5(s343)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s343) | node4(s343) | (~until5(s343)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47438,plain,
% 9.78/7.27 ((node4(s343) | (~until5(s343)) | xuntil6(s343)) <=> (xuntil6(s343) | node4(s343) | (~until5(s343)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47439,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s343) | (~until5(s343)) | xuntil6(s343))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s343) | node4(s343) | (~until5(s343))))),
% 9.78/7.27 inference(monotonicity,[status(thm)],[47438])).
% 9.78/7.27 tff(47440,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s343) | (~until5(s343)) | xuntil6(s343))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s343) | node4(s343) | (~until5(s343)))),
% 9.78/7.27 inference(transitivity,[status(thm)],[47439, 47437])).
% 9.78/7.27 tff(47441,plain,
% 9.78/7.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s343) | (~until5(s343)) | xuntil6(s343))),
% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47442,plain,
% 9.78/7.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s343) | node4(s343) | (~until5(s343))),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47441, 47440])).
% 9.78/7.27 tff(47443,plain,
% 9.78/7.27 (xuntil6(s343) | (~until5(s343))),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47442, 36, 47436])).
% 9.78/7.27 tff(47444,plain,
% 9.78/7.27 (xuntil6(s343)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47443, 47432])).
% 9.78/7.27 tff(47445,plain,
% 9.78/7.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s343, s344)) | (~xuntil6(s343)) | until5(s344))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s343, s344)) | (~xuntil6(s343)) | until5(s344))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47446,plain,
% 9.78/7.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s343, s344)) | (~xuntil6(s343)) | until5(s344))),
% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47447,plain,
% 9.78/7.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s343, s344)) | (~xuntil6(s343)) | until5(s344)),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47446, 47445])).
% 9.78/7.27 tff(47448,plain,
% 9.78/7.27 ((~xuntil6(s343)) | until5(s344)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47447, 45656, 141])).
% 9.78/7.27 tff(47449,plain,
% 9.78/7.27 (until5(s344)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47448, 47444])).
% 9.78/7.27 tff(47450,plain,
% 9.78/7.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s344) | (~node4(s344)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s344) | (~node4(s344)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47451,plain,
% 9.78/7.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s344) | (~node4(s344)))),
% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47452,plain,
% 9.78/7.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s344) | (~node4(s344))),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47451, 47450])).
% 9.78/7.27 tff(47453,plain,
% 9.78/7.27 (~node4(s344)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47452, 22, 45653])).
% 9.78/7.27 tff(47454,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s344) | node4(s344) | (~until5(s344)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s344) | node4(s344) | (~until5(s344)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47455,plain,
% 9.78/7.27 ((node4(s344) | (~until5(s344)) | xuntil6(s344)) <=> (xuntil6(s344) | node4(s344) | (~until5(s344)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47456,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s344) | (~until5(s344)) | xuntil6(s344))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s344) | node4(s344) | (~until5(s344))))),
% 9.78/7.27 inference(monotonicity,[status(thm)],[47455])).
% 9.78/7.27 tff(47457,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s344) | (~until5(s344)) | xuntil6(s344))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s344) | node4(s344) | (~until5(s344)))),
% 9.78/7.27 inference(transitivity,[status(thm)],[47456, 47454])).
% 9.78/7.27 tff(47458,plain,
% 9.78/7.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s344) | (~until5(s344)) | xuntil6(s344))),
% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47459,plain,
% 9.78/7.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s344) | node4(s344) | (~until5(s344))),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47458, 47457])).
% 9.78/7.27 tff(47460,plain,
% 9.78/7.27 (xuntil6(s344) | (~until5(s344))),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47459, 36, 47453])).
% 9.78/7.27 tff(47461,plain,
% 9.78/7.27 (xuntil6(s344)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47460, 47449])).
% 9.78/7.27 tff(47462,plain,
% 9.78/7.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s344, s345)) | (~xuntil6(s344)) | until5(s345))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s344, s345)) | (~xuntil6(s344)) | until5(s345))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47463,plain,
% 9.78/7.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s344, s345)) | (~xuntil6(s344)) | until5(s345))),
% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47464,plain,
% 9.78/7.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s344, s345)) | (~xuntil6(s344)) | until5(s345)),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47463, 47462])).
% 9.78/7.27 tff(47465,plain,
% 9.78/7.27 ((~xuntil6(s344)) | until5(s345)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47464, 45644, 141])).
% 9.78/7.27 tff(47466,plain,
% 9.78/7.27 (until5(s345)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47465, 47461])).
% 9.78/7.27 tff(47467,plain,
% 9.78/7.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s345) | (~node4(s345)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s345) | (~node4(s345)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47468,plain,
% 9.78/7.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s345) | (~node4(s345)))),
% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47469,plain,
% 9.78/7.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s345) | (~node4(s345))),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47468, 47467])).
% 9.78/7.27 tff(47470,plain,
% 9.78/7.27 (~node4(s345)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47469, 22, 45641])).
% 9.78/7.27 tff(47471,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s345) | node4(s345) | (~until5(s345)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s345) | node4(s345) | (~until5(s345)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47472,plain,
% 9.78/7.27 ((node4(s345) | (~until5(s345)) | xuntil6(s345)) <=> (xuntil6(s345) | node4(s345) | (~until5(s345)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47473,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s345) | (~until5(s345)) | xuntil6(s345))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s345) | node4(s345) | (~until5(s345))))),
% 9.78/7.27 inference(monotonicity,[status(thm)],[47472])).
% 9.78/7.27 tff(47474,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s345) | (~until5(s345)) | xuntil6(s345))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s345) | node4(s345) | (~until5(s345)))),
% 9.78/7.27 inference(transitivity,[status(thm)],[47473, 47471])).
% 9.78/7.27 tff(47475,plain,
% 9.78/7.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s345) | (~until5(s345)) | xuntil6(s345))),
% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47476,plain,
% 9.78/7.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s345) | node4(s345) | (~until5(s345))),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47475, 47474])).
% 9.78/7.27 tff(47477,plain,
% 9.78/7.27 (xuntil6(s345) | (~until5(s345))),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47476, 36, 47470])).
% 9.78/7.27 tff(47478,plain,
% 9.78/7.27 (xuntil6(s345)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47477, 47466])).
% 9.78/7.27 tff(47479,plain,
% 9.78/7.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s345, s346)) | (~xuntil6(s345)) | until5(s346))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s345, s346)) | (~xuntil6(s345)) | until5(s346))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47480,plain,
% 9.78/7.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s345, s346)) | (~xuntil6(s345)) | until5(s346))),
% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47481,plain,
% 9.78/7.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s345, s346)) | (~xuntil6(s345)) | until5(s346)),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47480, 47479])).
% 9.78/7.27 tff(47482,plain,
% 9.78/7.27 ((~xuntil6(s345)) | until5(s346)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47481, 45632, 141])).
% 9.78/7.27 tff(47483,plain,
% 9.78/7.27 (until5(s346)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47482, 47478])).
% 9.78/7.27 tff(47484,plain,
% 9.78/7.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s346) | (~node4(s346)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s346) | (~node4(s346)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47485,plain,
% 9.78/7.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s346) | (~node4(s346)))),
% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47486,plain,
% 9.78/7.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s346) | (~node4(s346))),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47485, 47484])).
% 9.78/7.27 tff(47487,plain,
% 9.78/7.27 (~node4(s346)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47486, 22, 45629])).
% 9.78/7.27 tff(47488,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s346) | node4(s346) | (~until5(s346)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s346) | node4(s346) | (~until5(s346)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47489,plain,
% 9.78/7.27 ((node4(s346) | (~until5(s346)) | xuntil6(s346)) <=> (xuntil6(s346) | node4(s346) | (~until5(s346)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47490,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s346) | (~until5(s346)) | xuntil6(s346))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s346) | node4(s346) | (~until5(s346))))),
% 9.78/7.27 inference(monotonicity,[status(thm)],[47489])).
% 9.78/7.27 tff(47491,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s346) | (~until5(s346)) | xuntil6(s346))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s346) | node4(s346) | (~until5(s346)))),
% 9.78/7.27 inference(transitivity,[status(thm)],[47490, 47488])).
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% 9.78/7.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s346) | (~until5(s346)) | xuntil6(s346))),
% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47493,plain,
% 9.78/7.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s346) | node4(s346) | (~until5(s346))),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47492, 47491])).
% 9.78/7.27 tff(47494,plain,
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% 9.78/7.27 inference(unit_resolution,[status(thm)],[47493, 36, 47487])).
% 9.78/7.27 tff(47495,plain,
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% 9.78/7.27 inference(unit_resolution,[status(thm)],[47494, 47483])).
% 9.78/7.27 tff(47496,plain,
% 9.78/7.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s346, s347)) | (~xuntil6(s346)) | until5(s347))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s346, s347)) | (~xuntil6(s346)) | until5(s347))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47497,plain,
% 9.78/7.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s346, s347)) | (~xuntil6(s346)) | until5(s347))),
% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47498,plain,
% 9.78/7.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s346, s347)) | (~xuntil6(s346)) | until5(s347)),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47497, 47496])).
% 9.78/7.27 tff(47499,plain,
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% 9.78/7.27 inference(unit_resolution,[status(thm)],[47498, 45620, 141])).
% 9.78/7.27 tff(47500,plain,
% 9.78/7.27 (until5(s347)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47499, 47495])).
% 9.78/7.27 tff(47501,plain,
% 9.78/7.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s347) | (~node4(s347)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s347) | (~node4(s347)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47502,plain,
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% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47503,plain,
% 9.78/7.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s347) | (~node4(s347))),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47502, 47501])).
% 9.78/7.27 tff(47504,plain,
% 9.78/7.27 (~node4(s347)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47503, 22, 45617])).
% 9.78/7.27 tff(47505,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s347) | node4(s347) | (~until5(s347)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s347) | node4(s347) | (~until5(s347)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47506,plain,
% 9.78/7.27 ((node4(s347) | (~until5(s347)) | xuntil6(s347)) <=> (xuntil6(s347) | node4(s347) | (~until5(s347)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47507,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s347) | (~until5(s347)) | xuntil6(s347))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s347) | node4(s347) | (~until5(s347))))),
% 9.78/7.27 inference(monotonicity,[status(thm)],[47506])).
% 9.78/7.27 tff(47508,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s347) | (~until5(s347)) | xuntil6(s347))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s347) | node4(s347) | (~until5(s347)))),
% 9.78/7.27 inference(transitivity,[status(thm)],[47507, 47505])).
% 9.78/7.27 tff(47509,plain,
% 9.78/7.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s347) | (~until5(s347)) | xuntil6(s347))),
% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47510,plain,
% 9.78/7.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s347) | node4(s347) | (~until5(s347))),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47509, 47508])).
% 9.78/7.27 tff(47511,plain,
% 9.78/7.27 (xuntil6(s347) | (~until5(s347))),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47510, 36, 47504])).
% 9.78/7.27 tff(47512,plain,
% 9.78/7.27 (xuntil6(s347)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47511, 47500])).
% 9.78/7.27 tff(47513,plain,
% 9.78/7.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s347, s348)) | (~xuntil6(s347)) | until5(s348))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s347, s348)) | (~xuntil6(s347)) | until5(s348))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47514,plain,
% 9.78/7.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s347, s348)) | (~xuntil6(s347)) | until5(s348))),
% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47515,plain,
% 9.78/7.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s347, s348)) | (~xuntil6(s347)) | until5(s348)),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47514, 47513])).
% 9.78/7.27 tff(47516,plain,
% 9.78/7.27 ((~xuntil6(s347)) | until5(s348)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47515, 45608, 141])).
% 9.78/7.27 tff(47517,plain,
% 9.78/7.27 (until5(s348)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47516, 47512])).
% 9.78/7.27 tff(47518,plain,
% 9.78/7.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s348) | (~node4(s348)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s348) | (~node4(s348)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47519,plain,
% 9.78/7.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s348) | (~node4(s348)))),
% 9.78/7.27 inference(quant_inst,[status(thm)],[])).
% 9.78/7.27 tff(47520,plain,
% 9.78/7.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s348) | (~node4(s348))),
% 9.78/7.27 inference(modus_ponens,[status(thm)],[47519, 47518])).
% 9.78/7.27 tff(47521,plain,
% 9.78/7.27 (~node4(s348)),
% 9.78/7.27 inference(unit_resolution,[status(thm)],[47520, 22, 45605])).
% 9.78/7.27 tff(47522,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s348) | node4(s348) | (~until5(s348)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s348) | node4(s348) | (~until5(s348)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47523,plain,
% 9.78/7.27 ((node4(s348) | (~until5(s348)) | xuntil6(s348)) <=> (xuntil6(s348) | node4(s348) | (~until5(s348)))),
% 9.78/7.27 inference(rewrite,[status(thm)],[])).
% 9.78/7.27 tff(47524,plain,
% 9.78/7.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s348) | (~until5(s348)) | xuntil6(s348))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s348) | node4(s348) | (~until5(s348))))),
% 9.78/7.28 inference(monotonicity,[status(thm)],[47523])).
% 9.78/7.28 tff(47525,plain,
% 9.78/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s348) | (~until5(s348)) | xuntil6(s348))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s348) | node4(s348) | (~until5(s348)))),
% 9.78/7.28 inference(transitivity,[status(thm)],[47524, 47522])).
% 9.78/7.28 tff(47526,plain,
% 9.78/7.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s348) | (~until5(s348)) | xuntil6(s348))),
% 9.78/7.28 inference(quant_inst,[status(thm)],[])).
% 9.78/7.28 tff(47527,plain,
% 9.78/7.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s348) | node4(s348) | (~until5(s348))),
% 9.78/7.28 inference(modus_ponens,[status(thm)],[47526, 47525])).
% 9.78/7.28 tff(47528,plain,
% 9.78/7.28 (xuntil6(s348) | (~until5(s348))),
% 9.78/7.28 inference(unit_resolution,[status(thm)],[47527, 36, 47521])).
% 9.78/7.28 tff(47529,plain,
% 9.78/7.28 (xuntil6(s348)),
% 9.78/7.28 inference(unit_resolution,[status(thm)],[47528, 47517])).
% 9.78/7.28 tff(47530,plain,
% 9.78/7.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s348, s349)) | (~xuntil6(s348)) | until5(s349))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s348, s349)) | (~xuntil6(s348)) | until5(s349))),
% 9.78/7.28 inference(rewrite,[status(thm)],[])).
% 9.78/7.28 tff(47531,plain,
% 9.78/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s348, s349)) | (~xuntil6(s348)) | until5(s349))),
% 9.78/7.28 inference(quant_inst,[status(thm)],[])).
% 9.78/7.28 tff(47532,plain,
% 9.78/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s348, s349)) | (~xuntil6(s348)) | until5(s349)),
% 9.78/7.28 inference(modus_ponens,[status(thm)],[47531, 47530])).
% 9.78/7.28 tff(47533,plain,
% 9.78/7.28 ((~xuntil6(s348)) | until5(s349)),
% 9.78/7.28 inference(unit_resolution,[status(thm)],[47532, 45596, 141])).
% 9.78/7.28 tff(47534,plain,
% 9.78/7.28 (until5(s349)),
% 9.78/7.28 inference(unit_resolution,[status(thm)],[47533, 47529])).
% 9.78/7.28 tff(47535,plain,
% 9.78/7.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s349) | (~node4(s349)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s349) | (~node4(s349)))),
% 9.78/7.28 inference(rewrite,[status(thm)],[])).
% 9.78/7.28 tff(47536,plain,
% 9.78/7.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s349) | (~node4(s349)))),
% 9.78/7.28 inference(quant_inst,[status(thm)],[])).
% 9.78/7.28 tff(47537,plain,
% 9.78/7.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s349) | (~node4(s349))),
% 9.78/7.28 inference(modus_ponens,[status(thm)],[47536, 47535])).
% 9.78/7.28 tff(47538,plain,
% 9.78/7.28 (~node4(s349)),
% 9.78/7.28 inference(unit_resolution,[status(thm)],[47537, 22, 45593])).
% 9.78/7.28 tff(47539,plain,
% 9.78/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s349) | node4(s349) | (~until5(s349)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s349) | node4(s349) | (~until5(s349)))),
% 9.78/7.28 inference(rewrite,[status(thm)],[])).
% 9.78/7.28 tff(47540,plain,
% 9.78/7.28 ((node4(s349) | (~until5(s349)) | xuntil6(s349)) <=> (xuntil6(s349) | node4(s349) | (~until5(s349)))),
% 9.78/7.28 inference(rewrite,[status(thm)],[])).
% 9.78/7.28 tff(47541,plain,
% 9.78/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s349) | (~until5(s349)) | xuntil6(s349))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s349) | node4(s349) | (~until5(s349))))),
% 9.78/7.28 inference(monotonicity,[status(thm)],[47540])).
% 9.78/7.28 tff(47542,plain,
% 9.78/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s349) | (~until5(s349)) | xuntil6(s349))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s349) | node4(s349) | (~until5(s349)))),
% 9.78/7.28 inference(transitivity,[status(thm)],[47541, 47539])).
% 9.78/7.28 tff(47543,plain,
% 9.78/7.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s349) | (~until5(s349)) | xuntil6(s349))),
% 9.78/7.28 inference(quant_inst,[status(thm)],[])).
% 9.78/7.28 tff(47544,plain,
% 9.78/7.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s349) | node4(s349) | (~until5(s349))),
% 9.78/7.28 inference(modus_ponens,[status(thm)],[47543, 47542])).
% 9.78/7.28 tff(47545,plain,
% 9.78/7.28 (xuntil6(s349) | (~until5(s349))),
% 9.78/7.28 inference(unit_resolution,[status(thm)],[47544, 36, 47538])).
% 9.78/7.28 tff(47546,plain,
% 9.78/7.28 (xuntil6(s349)),
% 9.78/7.28 inference(unit_resolution,[status(thm)],[47545, 47534])).
% 9.78/7.28 tff(47547,plain,
% 9.78/7.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s349, s350)) | (~xuntil6(s349)) | until5(s350))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s349, s350)) | (~xuntil6(s349)) | until5(s350))),
% 9.78/7.28 inference(rewrite,[status(thm)],[])).
% 9.78/7.28 tff(47548,plain,
% 9.78/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s349, s350)) | (~xuntil6(s349)) | until5(s350))),
% 9.78/7.28 inference(quant_inst,[status(thm)],[])).
% 9.78/7.28 tff(47549,plain,
% 9.78/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s349, s350)) | (~xuntil6(s349)) | until5(s350)),
% 9.78/7.28 inference(modus_ponens,[status(thm)],[47548, 47547])).
% 9.78/7.28 tff(47550,plain,
% 9.78/7.28 ((~xuntil6(s349)) | until5(s350)),
% 9.78/7.28 inference(unit_resolution,[status(thm)],[47549, 45584, 141])).
% 9.78/7.28 tff(47551,plain,
% 9.78/7.28 (until5(s350)),
% 9.78/7.28 inference(unit_resolution,[status(thm)],[47550, 47546])).
% 9.78/7.28 tff(47552,plain,
% 9.78/7.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s350) | (~node4(s350)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s350) | (~node4(s350)))),
% 9.78/7.28 inference(rewrite,[status(thm)],[])).
% 9.78/7.28 tff(47553,plain,
% 9.78/7.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s350) | (~node4(s350)))),
% 9.78/7.28 inference(quant_inst,[status(thm)],[])).
% 9.78/7.28 tff(47554,plain,
% 9.78/7.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s350) | (~node4(s350))),
% 9.78/7.28 inference(modus_ponens,[status(thm)],[47553, 47552])).
% 9.78/7.28 tff(47555,plain,
% 9.78/7.28 (~node4(s350)),
% 9.78/7.28 inference(unit_resolution,[status(thm)],[47554, 22, 45581])).
% 9.78/7.28 tff(47556,plain,
% 9.78/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s350) | node4(s350) | (~until5(s350)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s350) | node4(s350) | (~until5(s350)))),
% 9.78/7.28 inference(rewrite,[status(thm)],[])).
% 9.78/7.28 tff(47557,plain,
% 9.78/7.28 ((node4(s350) | (~until5(s350)) | xuntil6(s350)) <=> (xuntil6(s350) | node4(s350) | (~until5(s350)))),
% 9.78/7.28 inference(rewrite,[status(thm)],[])).
% 9.78/7.28 tff(47558,plain,
% 9.78/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s350) | (~until5(s350)) | xuntil6(s350))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s350) | node4(s350) | (~until5(s350))))),
% 9.78/7.28 inference(monotonicity,[status(thm)],[47557])).
% 9.78/7.28 tff(47559,plain,
% 9.78/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s350) | (~until5(s350)) | xuntil6(s350))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s350) | node4(s350) | (~until5(s350)))),
% 9.78/7.28 inference(transitivity,[status(thm)],[47558, 47556])).
% 9.78/7.28 tff(47560,plain,
% 9.78/7.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s350) | (~until5(s350)) | xuntil6(s350))),
% 9.78/7.28 inference(quant_inst,[status(thm)],[])).
% 9.78/7.28 tff(47561,plain,
% 9.78/7.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s350) | node4(s350) | (~until5(s350))),
% 9.78/7.28 inference(modus_ponens,[status(thm)],[47560, 47559])).
% 9.78/7.28 tff(47562,plain,
% 9.78/7.28 (xuntil6(s350) | (~until5(s350))),
% 9.78/7.28 inference(unit_resolution,[status(thm)],[47561, 36, 47555])).
% 9.78/7.28 tff(47563,plain,
% 9.78/7.28 (xuntil6(s350)),
% 9.78/7.28 inference(unit_resolution,[status(thm)],[47562, 47551])).
% 9.78/7.28 tff(47564,plain,
% 9.78/7.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s350, s351)) | (~xuntil6(s350)) | until5(s351))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s350, s351)) | (~xuntil6(s350)) | until5(s351))),
% 9.78/7.28 inference(rewrite,[status(thm)],[])).
% 9.78/7.28 tff(47565,plain,
% 9.78/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s350, s351)) | (~xuntil6(s350)) | until5(s351))),
% 9.78/7.28 inference(quant_inst,[status(thm)],[])).
% 9.78/7.28 tff(47566,plain,
% 9.78/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s350, s351)) | (~xuntil6(s350)) | until5(s351)),
% 9.78/7.28 inference(modus_ponens,[status(thm)],[47565, 47564])).
% 9.78/7.28 tff(47567,plain,
% 9.78/7.28 ((~xuntil6(s350)) | until5(s351)),
% 9.78/7.28 inference(unit_resolution,[status(thm)],[47566, 45572, 141])).
% 9.78/7.28 tff(47568,plain,
% 9.78/7.28 (until5(s351)),
% 9.78/7.28 inference(unit_resolution,[status(thm)],[47567, 47563])).
% 9.78/7.28 tff(47569,plain,
% 9.78/7.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s351) | (~node4(s351)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s351) | (~node4(s351)))),
% 9.78/7.28 inference(rewrite,[status(thm)],[])).
% 9.78/7.28 tff(47570,plain,
% 9.78/7.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s351) | (~node4(s351)))),
% 9.78/7.28 inference(quant_inst,[status(thm)],[])).
% 9.78/7.28 tff(47571,plain,
% 9.78/7.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s351) | (~node4(s351))),
% 9.78/7.28 inference(modus_ponens,[status(thm)],[47570, 47569])).
% 9.78/7.28 tff(47572,plain,
% 9.78/7.28 (~node4(s351)),
% 9.78/7.28 inference(unit_resolution,[status(thm)],[47571, 22, 45569])).
% 9.78/7.28 tff(47573,plain,
% 9.78/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s351) | node4(s351) | (~until5(s351)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s351) | node4(s351) | (~until5(s351)))),
% 9.78/7.28 inference(rewrite,[status(thm)],[])).
% 9.78/7.28 tff(47574,plain,
% 9.78/7.28 ((node4(s351) | (~until5(s351)) | xuntil6(s351)) <=> (xuntil6(s351) | node4(s351) | (~until5(s351)))),
% 9.78/7.28 inference(rewrite,[status(thm)],[])).
% 9.78/7.28 tff(47575,plain,
% 9.78/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s351) | (~until5(s351)) | xuntil6(s351))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s351) | node4(s351) | (~until5(s351))))),
% 9.78/7.28 inference(monotonicity,[status(thm)],[47574])).
% 9.78/7.28 tff(47576,plain,
% 9.78/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s351) | (~until5(s351)) | xuntil6(s351))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s351) | node4(s351) | (~until5(s351)))),
% 9.78/7.28 inference(transitivity,[status(thm)],[47575, 47573])).
% 9.78/7.28 tff(47577,plain,
% 9.78/7.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s351) | (~until5(s351)) | xuntil6(s351))),
% 9.78/7.28 inference(quant_inst,[status(thm)],[])).
% 9.78/7.28 tff(47578,plain,
% 9.78/7.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s351) | node4(s351) | (~until5(s351))),
% 9.78/7.28 inference(modus_ponens,[status(thm)],[47577, 47576])).
% 9.78/7.28 tff(47579,plain,
% 9.78/7.28 (xuntil6(s351) | (~until5(s351))),
% 9.78/7.28 inference(unit_resolution,[status(thm)],[47578, 36, 47572])).
% 9.78/7.28 tff(47580,plain,
% 9.78/7.28 (xuntil6(s351)),
% 9.78/7.28 inference(unit_resolution,[status(thm)],[47579, 47568])).
% 9.78/7.28 tff(47581,plain,
% 9.78/7.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s351, s352)) | (~xuntil6(s351)) | until5(s352))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s351, s352)) | (~xuntil6(s351)) | until5(s352))),
% 9.78/7.28 inference(rewrite,[status(thm)],[])).
% 9.78/7.28 tff(47582,plain,
% 9.78/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s351, s352)) | (~xuntil6(s351)) | until5(s352))),
% 9.78/7.28 inference(quant_inst,[status(thm)],[])).
% 9.78/7.28 tff(47583,plain,
% 9.78/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s351, s352)) | (~xuntil6(s351)) | until5(s352)),
% 9.78/7.28 inference(modus_ponens,[status(thm)],[47582, 47581])).
% 9.78/7.28 tff(47584,plain,
% 9.78/7.28 ((~xuntil6(s351)) | until5(s352)),
% 9.78/7.28 inference(unit_resolution,[status(thm)],[47583, 45560, 141])).
% 9.78/7.28 tff(47585,plain,
% 9.78/7.28 (until5(s352)),
% 9.78/7.28 inference(unit_resolution,[status(thm)],[47584, 47580])).
% 9.78/7.28 tff(47586,plain,
% 9.78/7.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s352) | (~node4(s352)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s352) | (~node4(s352)))),
% 9.78/7.28 inference(rewrite,[status(thm)],[])).
% 9.78/7.28 tff(47587,plain,
% 9.78/7.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s352) | (~node4(s352)))),
% 9.78/7.28 inference(quant_inst,[status(thm)],[])).
% 9.78/7.28 tff(47588,plain,
% 9.78/7.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s352) | (~node4(s352))),
% 9.78/7.28 inference(modus_ponens,[status(thm)],[47587, 47586])).
% 9.78/7.28 tff(47589,plain,
% 9.78/7.28 (~node4(s352)),
% 9.78/7.28 inference(unit_resolution,[status(thm)],[47588, 22, 45557])).
% 9.78/7.28 tff(47590,plain,
% 9.78/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s352) | node4(s352) | (~until5(s352)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s352) | node4(s352) | (~until5(s352)))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47591,plain,
% 9.84/7.28 ((node4(s352) | (~until5(s352)) | xuntil6(s352)) <=> (xuntil6(s352) | node4(s352) | (~until5(s352)))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47592,plain,
% 9.84/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s352) | (~until5(s352)) | xuntil6(s352))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s352) | node4(s352) | (~until5(s352))))),
% 9.84/7.28 inference(monotonicity,[status(thm)],[47591])).
% 9.84/7.28 tff(47593,plain,
% 9.84/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s352) | (~until5(s352)) | xuntil6(s352))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s352) | node4(s352) | (~until5(s352)))),
% 9.84/7.28 inference(transitivity,[status(thm)],[47592, 47590])).
% 9.84/7.28 tff(47594,plain,
% 9.84/7.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s352) | (~until5(s352)) | xuntil6(s352))),
% 9.84/7.28 inference(quant_inst,[status(thm)],[])).
% 9.84/7.28 tff(47595,plain,
% 9.84/7.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s352) | node4(s352) | (~until5(s352))),
% 9.84/7.28 inference(modus_ponens,[status(thm)],[47594, 47593])).
% 9.84/7.28 tff(47596,plain,
% 9.84/7.28 (xuntil6(s352) | (~until5(s352))),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47595, 36, 47589])).
% 9.84/7.28 tff(47597,plain,
% 9.84/7.28 (xuntil6(s352)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47596, 47585])).
% 9.84/7.28 tff(47598,plain,
% 9.84/7.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s352, s353)) | (~xuntil6(s352)) | until5(s353))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s352, s353)) | (~xuntil6(s352)) | until5(s353))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47599,plain,
% 9.84/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s352, s353)) | (~xuntil6(s352)) | until5(s353))),
% 9.84/7.28 inference(quant_inst,[status(thm)],[])).
% 9.84/7.28 tff(47600,plain,
% 9.84/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s352, s353)) | (~xuntil6(s352)) | until5(s353)),
% 9.84/7.28 inference(modus_ponens,[status(thm)],[47599, 47598])).
% 9.84/7.28 tff(47601,plain,
% 9.84/7.28 ((~xuntil6(s352)) | until5(s353)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47600, 45548, 141])).
% 9.84/7.28 tff(47602,plain,
% 9.84/7.28 (until5(s353)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47601, 47597])).
% 9.84/7.28 tff(47603,plain,
% 9.84/7.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s353) | (~node4(s353)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s353) | (~node4(s353)))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47604,plain,
% 9.84/7.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s353) | (~node4(s353)))),
% 9.84/7.28 inference(quant_inst,[status(thm)],[])).
% 9.84/7.28 tff(47605,plain,
% 9.84/7.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s353) | (~node4(s353))),
% 9.84/7.28 inference(modus_ponens,[status(thm)],[47604, 47603])).
% 9.84/7.28 tff(47606,plain,
% 9.84/7.28 (~node4(s353)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47605, 22, 45545])).
% 9.84/7.28 tff(47607,plain,
% 9.84/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s353) | node4(s353) | (~until5(s353)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s353) | node4(s353) | (~until5(s353)))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47608,plain,
% 9.84/7.28 ((node4(s353) | (~until5(s353)) | xuntil6(s353)) <=> (xuntil6(s353) | node4(s353) | (~until5(s353)))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47609,plain,
% 9.84/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s353) | (~until5(s353)) | xuntil6(s353))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s353) | node4(s353) | (~until5(s353))))),
% 9.84/7.28 inference(monotonicity,[status(thm)],[47608])).
% 9.84/7.28 tff(47610,plain,
% 9.84/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s353) | (~until5(s353)) | xuntil6(s353))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s353) | node4(s353) | (~until5(s353)))),
% 9.84/7.28 inference(transitivity,[status(thm)],[47609, 47607])).
% 9.84/7.28 tff(47611,plain,
% 9.84/7.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s353) | (~until5(s353)) | xuntil6(s353))),
% 9.84/7.28 inference(quant_inst,[status(thm)],[])).
% 9.84/7.28 tff(47612,plain,
% 9.84/7.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s353) | node4(s353) | (~until5(s353))),
% 9.84/7.28 inference(modus_ponens,[status(thm)],[47611, 47610])).
% 9.84/7.28 tff(47613,plain,
% 9.84/7.28 (xuntil6(s353) | (~until5(s353))),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47612, 36, 47606])).
% 9.84/7.28 tff(47614,plain,
% 9.84/7.28 (xuntil6(s353)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47613, 47602])).
% 9.84/7.28 tff(47615,plain,
% 9.84/7.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s353, s354)) | (~xuntil6(s353)) | until5(s354))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s353, s354)) | (~xuntil6(s353)) | until5(s354))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47616,plain,
% 9.84/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s353, s354)) | (~xuntil6(s353)) | until5(s354))),
% 9.84/7.28 inference(quant_inst,[status(thm)],[])).
% 9.84/7.28 tff(47617,plain,
% 9.84/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s353, s354)) | (~xuntil6(s353)) | until5(s354)),
% 9.84/7.28 inference(modus_ponens,[status(thm)],[47616, 47615])).
% 9.84/7.28 tff(47618,plain,
% 9.84/7.28 ((~xuntil6(s353)) | until5(s354)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47617, 45536, 141])).
% 9.84/7.28 tff(47619,plain,
% 9.84/7.28 (until5(s354)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47618, 47614])).
% 9.84/7.28 tff(47620,plain,
% 9.84/7.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s354) | (~node4(s354)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s354) | (~node4(s354)))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47621,plain,
% 9.84/7.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s354) | (~node4(s354)))),
% 9.84/7.28 inference(quant_inst,[status(thm)],[])).
% 9.84/7.28 tff(47622,plain,
% 9.84/7.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s354) | (~node4(s354))),
% 9.84/7.28 inference(modus_ponens,[status(thm)],[47621, 47620])).
% 9.84/7.28 tff(47623,plain,
% 9.84/7.28 (~node4(s354)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47622, 22, 45533])).
% 9.84/7.28 tff(47624,plain,
% 9.84/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s354) | node4(s354) | (~until5(s354)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s354) | node4(s354) | (~until5(s354)))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47625,plain,
% 9.84/7.28 ((node4(s354) | (~until5(s354)) | xuntil6(s354)) <=> (xuntil6(s354) | node4(s354) | (~until5(s354)))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47626,plain,
% 9.84/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s354) | (~until5(s354)) | xuntil6(s354))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s354) | node4(s354) | (~until5(s354))))),
% 9.84/7.28 inference(monotonicity,[status(thm)],[47625])).
% 9.84/7.28 tff(47627,plain,
% 9.84/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s354) | (~until5(s354)) | xuntil6(s354))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s354) | node4(s354) | (~until5(s354)))),
% 9.84/7.28 inference(transitivity,[status(thm)],[47626, 47624])).
% 9.84/7.28 tff(47628,plain,
% 9.84/7.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s354) | (~until5(s354)) | xuntil6(s354))),
% 9.84/7.28 inference(quant_inst,[status(thm)],[])).
% 9.84/7.28 tff(47629,plain,
% 9.84/7.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s354) | node4(s354) | (~until5(s354))),
% 9.84/7.28 inference(modus_ponens,[status(thm)],[47628, 47627])).
% 9.84/7.28 tff(47630,plain,
% 9.84/7.28 (xuntil6(s354) | (~until5(s354))),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47629, 36, 47623])).
% 9.84/7.28 tff(47631,plain,
% 9.84/7.28 (xuntil6(s354)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47630, 47619])).
% 9.84/7.28 tff(47632,plain,
% 9.84/7.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s354, s355)) | (~xuntil6(s354)) | until5(s355))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s354, s355)) | (~xuntil6(s354)) | until5(s355))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47633,plain,
% 9.84/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s354, s355)) | (~xuntil6(s354)) | until5(s355))),
% 9.84/7.28 inference(quant_inst,[status(thm)],[])).
% 9.84/7.28 tff(47634,plain,
% 9.84/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s354, s355)) | (~xuntil6(s354)) | until5(s355)),
% 9.84/7.28 inference(modus_ponens,[status(thm)],[47633, 47632])).
% 9.84/7.28 tff(47635,plain,
% 9.84/7.28 ((~xuntil6(s354)) | until5(s355)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47634, 45524, 141])).
% 9.84/7.28 tff(47636,plain,
% 9.84/7.28 (until5(s355)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47635, 47631])).
% 9.84/7.28 tff(47637,plain,
% 9.84/7.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s355) | (~node4(s355)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s355) | (~node4(s355)))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47638,plain,
% 9.84/7.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s355) | (~node4(s355)))),
% 9.84/7.28 inference(quant_inst,[status(thm)],[])).
% 9.84/7.28 tff(47639,plain,
% 9.84/7.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s355) | (~node4(s355))),
% 9.84/7.28 inference(modus_ponens,[status(thm)],[47638, 47637])).
% 9.84/7.28 tff(47640,plain,
% 9.84/7.28 (~node4(s355)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47639, 22, 45521])).
% 9.84/7.28 tff(47641,plain,
% 9.84/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s355) | node4(s355) | (~until5(s355)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s355) | node4(s355) | (~until5(s355)))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47642,plain,
% 9.84/7.28 ((node4(s355) | (~until5(s355)) | xuntil6(s355)) <=> (xuntil6(s355) | node4(s355) | (~until5(s355)))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47643,plain,
% 9.84/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s355) | (~until5(s355)) | xuntil6(s355))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s355) | node4(s355) | (~until5(s355))))),
% 9.84/7.28 inference(monotonicity,[status(thm)],[47642])).
% 9.84/7.28 tff(47644,plain,
% 9.84/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s355) | (~until5(s355)) | xuntil6(s355))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s355) | node4(s355) | (~until5(s355)))),
% 9.84/7.28 inference(transitivity,[status(thm)],[47643, 47641])).
% 9.84/7.28 tff(47645,plain,
% 9.84/7.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s355) | (~until5(s355)) | xuntil6(s355))),
% 9.84/7.28 inference(quant_inst,[status(thm)],[])).
% 9.84/7.28 tff(47646,plain,
% 9.84/7.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s355) | node4(s355) | (~until5(s355))),
% 9.84/7.28 inference(modus_ponens,[status(thm)],[47645, 47644])).
% 9.84/7.28 tff(47647,plain,
% 9.84/7.28 (xuntil6(s355) | (~until5(s355))),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47646, 36, 47640])).
% 9.84/7.28 tff(47648,plain,
% 9.84/7.28 (xuntil6(s355)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47647, 47636])).
% 9.84/7.28 tff(47649,plain,
% 9.84/7.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s355, s356)) | (~xuntil6(s355)) | until5(s356))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s355, s356)) | (~xuntil6(s355)) | until5(s356))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47650,plain,
% 9.84/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s355, s356)) | (~xuntil6(s355)) | until5(s356))),
% 9.84/7.28 inference(quant_inst,[status(thm)],[])).
% 9.84/7.28 tff(47651,plain,
% 9.84/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s355, s356)) | (~xuntil6(s355)) | until5(s356)),
% 9.84/7.28 inference(modus_ponens,[status(thm)],[47650, 47649])).
% 9.84/7.28 tff(47652,plain,
% 9.84/7.28 ((~xuntil6(s355)) | until5(s356)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47651, 45512, 141])).
% 9.84/7.28 tff(47653,plain,
% 9.84/7.28 (until5(s356)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47652, 47648])).
% 9.84/7.28 tff(47654,plain,
% 9.84/7.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s356) | (~node4(s356)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s356) | (~node4(s356)))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47655,plain,
% 9.84/7.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s356) | (~node4(s356)))),
% 9.84/7.28 inference(quant_inst,[status(thm)],[])).
% 9.84/7.28 tff(47656,plain,
% 9.84/7.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s356) | (~node4(s356))),
% 9.84/7.28 inference(modus_ponens,[status(thm)],[47655, 47654])).
% 9.84/7.28 tff(47657,plain,
% 9.84/7.28 (~node4(s356)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47656, 22, 45509])).
% 9.84/7.28 tff(47658,plain,
% 9.84/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s356) | node4(s356) | (~until5(s356)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s356) | node4(s356) | (~until5(s356)))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47659,plain,
% 9.84/7.28 ((node4(s356) | (~until5(s356)) | xuntil6(s356)) <=> (xuntil6(s356) | node4(s356) | (~until5(s356)))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47660,plain,
% 9.84/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s356) | (~until5(s356)) | xuntil6(s356))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s356) | node4(s356) | (~until5(s356))))),
% 9.84/7.28 inference(monotonicity,[status(thm)],[47659])).
% 9.84/7.28 tff(47661,plain,
% 9.84/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s356) | (~until5(s356)) | xuntil6(s356))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s356) | node4(s356) | (~until5(s356)))),
% 9.84/7.28 inference(transitivity,[status(thm)],[47660, 47658])).
% 9.84/7.28 tff(47662,plain,
% 9.84/7.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s356) | (~until5(s356)) | xuntil6(s356))),
% 9.84/7.28 inference(quant_inst,[status(thm)],[])).
% 9.84/7.28 tff(47663,plain,
% 9.84/7.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s356) | node4(s356) | (~until5(s356))),
% 9.84/7.28 inference(modus_ponens,[status(thm)],[47662, 47661])).
% 9.84/7.28 tff(47664,plain,
% 9.84/7.28 (xuntil6(s356) | (~until5(s356))),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47663, 36, 47657])).
% 9.84/7.28 tff(47665,plain,
% 9.84/7.28 (xuntil6(s356)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47664, 47653])).
% 9.84/7.28 tff(47666,plain,
% 9.84/7.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s356, s357)) | (~xuntil6(s356)) | until5(s357))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s356, s357)) | (~xuntil6(s356)) | until5(s357))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47667,plain,
% 9.84/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s356, s357)) | (~xuntil6(s356)) | until5(s357))),
% 9.84/7.28 inference(quant_inst,[status(thm)],[])).
% 9.84/7.28 tff(47668,plain,
% 9.84/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s356, s357)) | (~xuntil6(s356)) | until5(s357)),
% 9.84/7.28 inference(modus_ponens,[status(thm)],[47667, 47666])).
% 9.84/7.28 tff(47669,plain,
% 9.84/7.28 ((~xuntil6(s356)) | until5(s357)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47668, 45500, 141])).
% 9.84/7.28 tff(47670,plain,
% 9.84/7.28 (until5(s357)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47669, 47665])).
% 9.84/7.28 tff(47671,plain,
% 9.84/7.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s357) | (~node4(s357)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s357) | (~node4(s357)))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47672,plain,
% 9.84/7.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s357) | (~node4(s357)))),
% 9.84/7.28 inference(quant_inst,[status(thm)],[])).
% 9.84/7.28 tff(47673,plain,
% 9.84/7.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s357) | (~node4(s357))),
% 9.84/7.28 inference(modus_ponens,[status(thm)],[47672, 47671])).
% 9.84/7.28 tff(47674,plain,
% 9.84/7.28 (~node4(s357)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47673, 22, 45497])).
% 9.84/7.28 tff(47675,plain,
% 9.84/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s357) | node4(s357) | (~until5(s357)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s357) | node4(s357) | (~until5(s357)))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47676,plain,
% 9.84/7.28 ((node4(s357) | (~until5(s357)) | xuntil6(s357)) <=> (xuntil6(s357) | node4(s357) | (~until5(s357)))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47677,plain,
% 9.84/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s357) | (~until5(s357)) | xuntil6(s357))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s357) | node4(s357) | (~until5(s357))))),
% 9.84/7.28 inference(monotonicity,[status(thm)],[47676])).
% 9.84/7.28 tff(47678,plain,
% 9.84/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s357) | (~until5(s357)) | xuntil6(s357))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s357) | node4(s357) | (~until5(s357)))),
% 9.84/7.28 inference(transitivity,[status(thm)],[47677, 47675])).
% 9.84/7.28 tff(47679,plain,
% 9.84/7.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s357) | (~until5(s357)) | xuntil6(s357))),
% 9.84/7.28 inference(quant_inst,[status(thm)],[])).
% 9.84/7.28 tff(47680,plain,
% 9.84/7.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s357) | node4(s357) | (~until5(s357))),
% 9.84/7.28 inference(modus_ponens,[status(thm)],[47679, 47678])).
% 9.84/7.28 tff(47681,plain,
% 9.84/7.28 (xuntil6(s357) | (~until5(s357))),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47680, 36, 47674])).
% 9.84/7.28 tff(47682,plain,
% 9.84/7.28 (xuntil6(s357)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47681, 47670])).
% 9.84/7.28 tff(47683,plain,
% 9.84/7.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s357, s358)) | (~xuntil6(s357)) | until5(s358))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s357, s358)) | (~xuntil6(s357)) | until5(s358))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47684,plain,
% 9.84/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s357, s358)) | (~xuntil6(s357)) | until5(s358))),
% 9.84/7.28 inference(quant_inst,[status(thm)],[])).
% 9.84/7.28 tff(47685,plain,
% 9.84/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s357, s358)) | (~xuntil6(s357)) | until5(s358)),
% 9.84/7.28 inference(modus_ponens,[status(thm)],[47684, 47683])).
% 9.84/7.28 tff(47686,plain,
% 9.84/7.28 ((~xuntil6(s357)) | until5(s358)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47685, 45488, 141])).
% 9.84/7.28 tff(47687,plain,
% 9.84/7.28 (until5(s358)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47686, 47682])).
% 9.84/7.28 tff(47688,plain,
% 9.84/7.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s358) | (~node4(s358)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s358) | (~node4(s358)))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47689,plain,
% 9.84/7.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s358) | (~node4(s358)))),
% 9.84/7.28 inference(quant_inst,[status(thm)],[])).
% 9.84/7.28 tff(47690,plain,
% 9.84/7.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s358) | (~node4(s358))),
% 9.84/7.28 inference(modus_ponens,[status(thm)],[47689, 47688])).
% 9.84/7.28 tff(47691,plain,
% 9.84/7.28 (~node4(s358)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47690, 22, 45485])).
% 9.84/7.28 tff(47692,plain,
% 9.84/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s358) | node4(s358) | (~until5(s358)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s358) | node4(s358) | (~until5(s358)))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47693,plain,
% 9.84/7.28 ((node4(s358) | (~until5(s358)) | xuntil6(s358)) <=> (xuntil6(s358) | node4(s358) | (~until5(s358)))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47694,plain,
% 9.84/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s358) | (~until5(s358)) | xuntil6(s358))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s358) | node4(s358) | (~until5(s358))))),
% 9.84/7.28 inference(monotonicity,[status(thm)],[47693])).
% 9.84/7.28 tff(47695,plain,
% 9.84/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s358) | (~until5(s358)) | xuntil6(s358))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s358) | node4(s358) | (~until5(s358)))),
% 9.84/7.28 inference(transitivity,[status(thm)],[47694, 47692])).
% 9.84/7.28 tff(47696,plain,
% 9.84/7.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s358) | (~until5(s358)) | xuntil6(s358))),
% 9.84/7.28 inference(quant_inst,[status(thm)],[])).
% 9.84/7.28 tff(47697,plain,
% 9.84/7.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s358) | node4(s358) | (~until5(s358))),
% 9.84/7.28 inference(modus_ponens,[status(thm)],[47696, 47695])).
% 9.84/7.28 tff(47698,plain,
% 9.84/7.28 (xuntil6(s358) | (~until5(s358))),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47697, 36, 47691])).
% 9.84/7.28 tff(47699,plain,
% 9.84/7.28 (xuntil6(s358)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47698, 47687])).
% 9.84/7.28 tff(47700,plain,
% 9.84/7.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s358, s359)) | (~xuntil6(s358)) | until5(s359))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s358, s359)) | (~xuntil6(s358)) | until5(s359))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47701,plain,
% 9.84/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s358, s359)) | (~xuntil6(s358)) | until5(s359))),
% 9.84/7.28 inference(quant_inst,[status(thm)],[])).
% 9.84/7.28 tff(47702,plain,
% 9.84/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s358, s359)) | (~xuntil6(s358)) | until5(s359)),
% 9.84/7.28 inference(modus_ponens,[status(thm)],[47701, 47700])).
% 9.84/7.28 tff(47703,plain,
% 9.84/7.28 ((~xuntil6(s358)) | until5(s359)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47702, 45476, 141])).
% 9.84/7.28 tff(47704,plain,
% 9.84/7.28 (until5(s359)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47703, 47699])).
% 9.84/7.28 tff(47705,plain,
% 9.84/7.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s359) | (~node4(s359)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s359) | (~node4(s359)))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47706,plain,
% 9.84/7.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s359) | (~node4(s359)))),
% 9.84/7.28 inference(quant_inst,[status(thm)],[])).
% 9.84/7.28 tff(47707,plain,
% 9.84/7.28 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s359) | (~node4(s359))),
% 9.84/7.28 inference(modus_ponens,[status(thm)],[47706, 47705])).
% 9.84/7.28 tff(47708,plain,
% 9.84/7.28 (~node4(s359)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47707, 22, 45473])).
% 9.84/7.28 tff(47709,plain,
% 9.84/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s359) | node4(s359) | (~until5(s359)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s359) | node4(s359) | (~until5(s359)))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47710,plain,
% 9.84/7.28 ((node4(s359) | (~until5(s359)) | xuntil6(s359)) <=> (xuntil6(s359) | node4(s359) | (~until5(s359)))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47711,plain,
% 9.84/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s359) | (~until5(s359)) | xuntil6(s359))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s359) | node4(s359) | (~until5(s359))))),
% 9.84/7.28 inference(monotonicity,[status(thm)],[47710])).
% 9.84/7.28 tff(47712,plain,
% 9.84/7.28 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s359) | (~until5(s359)) | xuntil6(s359))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s359) | node4(s359) | (~until5(s359)))),
% 9.84/7.28 inference(transitivity,[status(thm)],[47711, 47709])).
% 9.84/7.28 tff(47713,plain,
% 9.84/7.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s359) | (~until5(s359)) | xuntil6(s359))),
% 9.84/7.28 inference(quant_inst,[status(thm)],[])).
% 9.84/7.28 tff(47714,plain,
% 9.84/7.28 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s359) | node4(s359) | (~until5(s359))),
% 9.84/7.28 inference(modus_ponens,[status(thm)],[47713, 47712])).
% 9.84/7.28 tff(47715,plain,
% 9.84/7.28 (xuntil6(s359) | (~until5(s359))),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47714, 36, 47708])).
% 9.84/7.28 tff(47716,plain,
% 9.84/7.28 (xuntil6(s359)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47715, 47704])).
% 9.84/7.28 tff(47717,plain,
% 9.84/7.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s359, s360)) | (~xuntil6(s359)) | until5(s360))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s359, s360)) | (~xuntil6(s359)) | until5(s360))),
% 9.84/7.28 inference(rewrite,[status(thm)],[])).
% 9.84/7.28 tff(47718,plain,
% 9.84/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s359, s360)) | (~xuntil6(s359)) | until5(s360))),
% 9.84/7.28 inference(quant_inst,[status(thm)],[])).
% 9.84/7.28 tff(47719,plain,
% 9.84/7.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s359, s360)) | (~xuntil6(s359)) | until5(s360)),
% 9.84/7.28 inference(modus_ponens,[status(thm)],[47718, 47717])).
% 9.84/7.28 tff(47720,plain,
% 9.84/7.28 ((~xuntil6(s359)) | until5(s360)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47719, 45464, 141])).
% 9.84/7.28 tff(47721,plain,
% 9.84/7.28 (until5(s360)),
% 9.84/7.28 inference(unit_resolution,[status(thm)],[47720, 47716])).
% 9.84/7.28 tff(47722,plain,
% 9.84/7.28 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s360) | (~node4(s360)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s360) | (~node4(s360)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47723,plain,
% 9.84/7.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s360) | (~node4(s360)))),
% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47724,plain,
% 9.84/7.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s360) | (~node4(s360))),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47723, 47722])).
% 9.84/7.29 tff(47725,plain,
% 9.84/7.29 (~node4(s360)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47724, 22, 45461])).
% 9.84/7.29 tff(47726,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s360) | node4(s360) | (~until5(s360)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s360) | node4(s360) | (~until5(s360)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47727,plain,
% 9.84/7.29 ((node4(s360) | (~until5(s360)) | xuntil6(s360)) <=> (xuntil6(s360) | node4(s360) | (~until5(s360)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47728,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s360) | (~until5(s360)) | xuntil6(s360))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s360) | node4(s360) | (~until5(s360))))),
% 9.84/7.29 inference(monotonicity,[status(thm)],[47727])).
% 9.84/7.29 tff(47729,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s360) | (~until5(s360)) | xuntil6(s360))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s360) | node4(s360) | (~until5(s360)))),
% 9.84/7.29 inference(transitivity,[status(thm)],[47728, 47726])).
% 9.84/7.29 tff(47730,plain,
% 9.84/7.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s360) | (~until5(s360)) | xuntil6(s360))),
% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47731,plain,
% 9.84/7.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s360) | node4(s360) | (~until5(s360))),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47730, 47729])).
% 9.84/7.29 tff(47732,plain,
% 9.84/7.29 (xuntil6(s360) | (~until5(s360))),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47731, 36, 47725])).
% 9.84/7.29 tff(47733,plain,
% 9.84/7.29 (xuntil6(s360)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47732, 47721])).
% 9.84/7.29 tff(47734,plain,
% 9.84/7.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s360, s361)) | (~xuntil6(s360)) | until5(s361))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s360, s361)) | (~xuntil6(s360)) | until5(s361))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47735,plain,
% 9.84/7.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s360, s361)) | (~xuntil6(s360)) | until5(s361))),
% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47736,plain,
% 9.84/7.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s360, s361)) | (~xuntil6(s360)) | until5(s361)),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47735, 47734])).
% 9.84/7.29 tff(47737,plain,
% 9.84/7.29 ((~xuntil6(s360)) | until5(s361)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47736, 45452, 141])).
% 9.84/7.29 tff(47738,plain,
% 9.84/7.29 (until5(s361)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47737, 47733])).
% 9.84/7.29 tff(47739,plain,
% 9.84/7.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s361) | (~node4(s361)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s361) | (~node4(s361)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47740,plain,
% 9.84/7.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s361) | (~node4(s361)))),
% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47741,plain,
% 9.84/7.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s361) | (~node4(s361))),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47740, 47739])).
% 9.84/7.29 tff(47742,plain,
% 9.84/7.29 (~node4(s361)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47741, 22, 45449])).
% 9.84/7.29 tff(47743,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s361) | node4(s361) | (~until5(s361)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s361) | node4(s361) | (~until5(s361)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47744,plain,
% 9.84/7.29 ((node4(s361) | (~until5(s361)) | xuntil6(s361)) <=> (xuntil6(s361) | node4(s361) | (~until5(s361)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47745,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s361) | (~until5(s361)) | xuntil6(s361))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s361) | node4(s361) | (~until5(s361))))),
% 9.84/7.29 inference(monotonicity,[status(thm)],[47744])).
% 9.84/7.29 tff(47746,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s361) | (~until5(s361)) | xuntil6(s361))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s361) | node4(s361) | (~until5(s361)))),
% 9.84/7.29 inference(transitivity,[status(thm)],[47745, 47743])).
% 9.84/7.29 tff(47747,plain,
% 9.84/7.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s361) | (~until5(s361)) | xuntil6(s361))),
% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47748,plain,
% 9.84/7.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s361) | node4(s361) | (~until5(s361))),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47747, 47746])).
% 9.84/7.29 tff(47749,plain,
% 9.84/7.29 (xuntil6(s361) | (~until5(s361))),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47748, 36, 47742])).
% 9.84/7.29 tff(47750,plain,
% 9.84/7.29 (xuntil6(s361)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47749, 47738])).
% 9.84/7.29 tff(47751,plain,
% 9.84/7.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s361, s362)) | (~xuntil6(s361)) | until5(s362))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s361, s362)) | (~xuntil6(s361)) | until5(s362))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47752,plain,
% 9.84/7.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s361, s362)) | (~xuntil6(s361)) | until5(s362))),
% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47753,plain,
% 9.84/7.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s361, s362)) | (~xuntil6(s361)) | until5(s362)),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47752, 47751])).
% 9.84/7.29 tff(47754,plain,
% 9.84/7.29 ((~xuntil6(s361)) | until5(s362)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47753, 45440, 141])).
% 9.84/7.29 tff(47755,plain,
% 9.84/7.29 (until5(s362)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47754, 47750])).
% 9.84/7.29 tff(47756,plain,
% 9.84/7.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s362) | (~node4(s362)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s362) | (~node4(s362)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47757,plain,
% 9.84/7.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s362) | (~node4(s362)))),
% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47758,plain,
% 9.84/7.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s362) | (~node4(s362))),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47757, 47756])).
% 9.84/7.29 tff(47759,plain,
% 9.84/7.29 (~node4(s362)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47758, 22, 45437])).
% 9.84/7.29 tff(47760,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s362) | node4(s362) | (~until5(s362)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s362) | node4(s362) | (~until5(s362)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47761,plain,
% 9.84/7.29 ((node4(s362) | (~until5(s362)) | xuntil6(s362)) <=> (xuntil6(s362) | node4(s362) | (~until5(s362)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47762,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s362) | (~until5(s362)) | xuntil6(s362))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s362) | node4(s362) | (~until5(s362))))),
% 9.84/7.29 inference(monotonicity,[status(thm)],[47761])).
% 9.84/7.29 tff(47763,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s362) | (~until5(s362)) | xuntil6(s362))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s362) | node4(s362) | (~until5(s362)))),
% 9.84/7.29 inference(transitivity,[status(thm)],[47762, 47760])).
% 9.84/7.29 tff(47764,plain,
% 9.84/7.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s362) | (~until5(s362)) | xuntil6(s362))),
% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47765,plain,
% 9.84/7.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s362) | node4(s362) | (~until5(s362))),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47764, 47763])).
% 9.84/7.29 tff(47766,plain,
% 9.84/7.29 (xuntil6(s362) | (~until5(s362))),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47765, 36, 47759])).
% 9.84/7.29 tff(47767,plain,
% 9.84/7.29 (xuntil6(s362)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47766, 47755])).
% 9.84/7.29 tff(47768,plain,
% 9.84/7.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s362, s363)) | (~xuntil6(s362)) | until5(s363))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s362, s363)) | (~xuntil6(s362)) | until5(s363))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47769,plain,
% 9.84/7.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s362, s363)) | (~xuntil6(s362)) | until5(s363))),
% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47770,plain,
% 9.84/7.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s362, s363)) | (~xuntil6(s362)) | until5(s363)),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47769, 47768])).
% 9.84/7.29 tff(47771,plain,
% 9.84/7.29 ((~xuntil6(s362)) | until5(s363)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47770, 45428, 141])).
% 9.84/7.29 tff(47772,plain,
% 9.84/7.29 (until5(s363)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47771, 47767])).
% 9.84/7.29 tff(47773,plain,
% 9.84/7.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s363) | (~node4(s363)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s363) | (~node4(s363)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47774,plain,
% 9.84/7.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s363) | (~node4(s363)))),
% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47775,plain,
% 9.84/7.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s363) | (~node4(s363))),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47774, 47773])).
% 9.84/7.29 tff(47776,plain,
% 9.84/7.29 (~node4(s363)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47775, 22, 45425])).
% 9.84/7.29 tff(47777,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s363) | node4(s363) | (~until5(s363)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s363) | node4(s363) | (~until5(s363)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47778,plain,
% 9.84/7.29 ((node4(s363) | (~until5(s363)) | xuntil6(s363)) <=> (xuntil6(s363) | node4(s363) | (~until5(s363)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47779,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s363) | (~until5(s363)) | xuntil6(s363))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s363) | node4(s363) | (~until5(s363))))),
% 9.84/7.29 inference(monotonicity,[status(thm)],[47778])).
% 9.84/7.29 tff(47780,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s363) | (~until5(s363)) | xuntil6(s363))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s363) | node4(s363) | (~until5(s363)))),
% 9.84/7.29 inference(transitivity,[status(thm)],[47779, 47777])).
% 9.84/7.29 tff(47781,plain,
% 9.84/7.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s363) | (~until5(s363)) | xuntil6(s363))),
% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47782,plain,
% 9.84/7.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s363) | node4(s363) | (~until5(s363))),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47781, 47780])).
% 9.84/7.29 tff(47783,plain,
% 9.84/7.29 (xuntil6(s363) | (~until5(s363))),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47782, 36, 47776])).
% 9.84/7.29 tff(47784,plain,
% 9.84/7.29 (xuntil6(s363)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47783, 47772])).
% 9.84/7.29 tff(47785,plain,
% 9.84/7.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s363, s364)) | (~xuntil6(s363)) | until5(s364))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s363, s364)) | (~xuntil6(s363)) | until5(s364))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47786,plain,
% 9.84/7.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s363, s364)) | (~xuntil6(s363)) | until5(s364))),
% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47787,plain,
% 9.84/7.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s363, s364)) | (~xuntil6(s363)) | until5(s364)),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47786, 47785])).
% 9.84/7.29 tff(47788,plain,
% 9.84/7.29 ((~xuntil6(s363)) | until5(s364)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47787, 45416, 141])).
% 9.84/7.29 tff(47789,plain,
% 9.84/7.29 (until5(s364)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47788, 47784])).
% 9.84/7.29 tff(47790,plain,
% 9.84/7.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s364) | (~node4(s364)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s364) | (~node4(s364)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47791,plain,
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% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47792,plain,
% 9.84/7.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s364) | (~node4(s364))),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47791, 47790])).
% 9.84/7.29 tff(47793,plain,
% 9.84/7.29 (~node4(s364)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47792, 22, 45413])).
% 9.84/7.29 tff(47794,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s364) | node4(s364) | (~until5(s364)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s364) | node4(s364) | (~until5(s364)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47795,plain,
% 9.84/7.29 ((node4(s364) | (~until5(s364)) | xuntil6(s364)) <=> (xuntil6(s364) | node4(s364) | (~until5(s364)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47796,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s364) | (~until5(s364)) | xuntil6(s364))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s364) | node4(s364) | (~until5(s364))))),
% 9.84/7.29 inference(monotonicity,[status(thm)],[47795])).
% 9.84/7.29 tff(47797,plain,
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% 9.84/7.29 inference(transitivity,[status(thm)],[47796, 47794])).
% 9.84/7.29 tff(47798,plain,
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% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47799,plain,
% 9.84/7.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s364) | node4(s364) | (~until5(s364))),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47798, 47797])).
% 9.84/7.29 tff(47800,plain,
% 9.84/7.29 (xuntil6(s364) | (~until5(s364))),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47799, 36, 47793])).
% 9.84/7.29 tff(47801,plain,
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% 9.84/7.29 inference(unit_resolution,[status(thm)],[47800, 47789])).
% 9.84/7.29 tff(47802,plain,
% 9.84/7.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s364, s365)) | (~xuntil6(s364)) | until5(s365))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s364, s365)) | (~xuntil6(s364)) | until5(s365))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47803,plain,
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% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47804,plain,
% 9.84/7.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s364, s365)) | (~xuntil6(s364)) | until5(s365)),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47803, 47802])).
% 9.84/7.29 tff(47805,plain,
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% 9.84/7.29 inference(unit_resolution,[status(thm)],[47804, 45404, 141])).
% 9.84/7.29 tff(47806,plain,
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% 9.84/7.29 inference(unit_resolution,[status(thm)],[47805, 47801])).
% 9.84/7.29 tff(47807,plain,
% 9.84/7.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s365) | (~node4(s365)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s365) | (~node4(s365)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47808,plain,
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% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47809,plain,
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% 9.84/7.29 inference(modus_ponens,[status(thm)],[47808, 47807])).
% 9.84/7.29 tff(47810,plain,
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% 9.84/7.29 inference(unit_resolution,[status(thm)],[47809, 22, 45401])).
% 9.84/7.29 tff(47811,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s365) | node4(s365) | (~until5(s365)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s365) | node4(s365) | (~until5(s365)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47812,plain,
% 9.84/7.29 ((node4(s365) | (~until5(s365)) | xuntil6(s365)) <=> (xuntil6(s365) | node4(s365) | (~until5(s365)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47813,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s365) | (~until5(s365)) | xuntil6(s365))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s365) | node4(s365) | (~until5(s365))))),
% 9.84/7.29 inference(monotonicity,[status(thm)],[47812])).
% 9.84/7.29 tff(47814,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s365) | (~until5(s365)) | xuntil6(s365))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s365) | node4(s365) | (~until5(s365)))),
% 9.84/7.29 inference(transitivity,[status(thm)],[47813, 47811])).
% 9.84/7.29 tff(47815,plain,
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% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47816,plain,
% 9.84/7.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s365) | node4(s365) | (~until5(s365))),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47815, 47814])).
% 9.84/7.29 tff(47817,plain,
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% 9.84/7.29 inference(unit_resolution,[status(thm)],[47816, 36, 47810])).
% 9.84/7.29 tff(47818,plain,
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% 9.84/7.29 inference(unit_resolution,[status(thm)],[47817, 47806])).
% 9.84/7.29 tff(47819,plain,
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% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47820,plain,
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% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47821,plain,
% 9.84/7.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s365, s366)) | (~xuntil6(s365)) | until5(s366)),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47820, 47819])).
% 9.84/7.29 tff(47822,plain,
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% 9.84/7.29 inference(unit_resolution,[status(thm)],[47821, 45392, 141])).
% 9.84/7.29 tff(47823,plain,
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% 9.84/7.29 inference(unit_resolution,[status(thm)],[47822, 47818])).
% 9.84/7.29 tff(47824,plain,
% 9.84/7.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s366) | (~node4(s366)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s366) | (~node4(s366)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47825,plain,
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% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47826,plain,
% 9.84/7.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s366) | (~node4(s366))),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47825, 47824])).
% 9.84/7.29 tff(47827,plain,
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% 9.84/7.29 inference(unit_resolution,[status(thm)],[47826, 22, 45389])).
% 9.84/7.29 tff(47828,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s366) | node4(s366) | (~until5(s366)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s366) | node4(s366) | (~until5(s366)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47829,plain,
% 9.84/7.29 ((node4(s366) | (~until5(s366)) | xuntil6(s366)) <=> (xuntil6(s366) | node4(s366) | (~until5(s366)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47830,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s366) | (~until5(s366)) | xuntil6(s366))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s366) | node4(s366) | (~until5(s366))))),
% 9.84/7.29 inference(monotonicity,[status(thm)],[47829])).
% 9.84/7.29 tff(47831,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s366) | (~until5(s366)) | xuntil6(s366))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s366) | node4(s366) | (~until5(s366)))),
% 9.84/7.29 inference(transitivity,[status(thm)],[47830, 47828])).
% 9.84/7.29 tff(47832,plain,
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% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47833,plain,
% 9.84/7.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s366) | node4(s366) | (~until5(s366))),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47832, 47831])).
% 9.84/7.29 tff(47834,plain,
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% 9.84/7.29 inference(unit_resolution,[status(thm)],[47833, 36, 47827])).
% 9.84/7.29 tff(47835,plain,
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% 9.84/7.29 inference(unit_resolution,[status(thm)],[47834, 47823])).
% 9.84/7.29 tff(47836,plain,
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% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47837,plain,
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% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47838,plain,
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% 9.84/7.29 inference(modus_ponens,[status(thm)],[47837, 47836])).
% 9.84/7.29 tff(47839,plain,
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% 9.84/7.29 inference(unit_resolution,[status(thm)],[47838, 45380, 141])).
% 9.84/7.29 tff(47840,plain,
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% 9.84/7.29 inference(unit_resolution,[status(thm)],[47839, 47835])).
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% 9.84/7.29 inference(rewrite,[status(thm)],[])).
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% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47843,plain,
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% 9.84/7.29 inference(modus_ponens,[status(thm)],[47842, 47841])).
% 9.84/7.29 tff(47844,plain,
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% 9.84/7.29 inference(unit_resolution,[status(thm)],[47843, 22, 45377])).
% 9.84/7.29 tff(47845,plain,
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% 9.84/7.29 inference(rewrite,[status(thm)],[])).
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% 9.84/7.29 inference(rewrite,[status(thm)],[])).
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% 9.84/7.29 inference(monotonicity,[status(thm)],[47846])).
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% 9.84/7.29 inference(transitivity,[status(thm)],[47847, 47845])).
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% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
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% 9.84/7.29 inference(rewrite,[status(thm)],[])).
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% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
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% 9.84/7.29 inference(rewrite,[status(thm)],[])).
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% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
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% 9.84/7.29 inference(modus_ponens,[status(thm)],[47859, 47858])).
% 9.84/7.29 tff(47861,plain,
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% 9.84/7.29 inference(unit_resolution,[status(thm)],[47860, 22, 45365])).
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% 9.84/7.29 inference(rewrite,[status(thm)],[])).
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% 9.84/7.29 inference(rewrite,[status(thm)],[])).
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% 9.84/7.29 inference(monotonicity,[status(thm)],[47863])).
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% 9.84/7.29 inference(transitivity,[status(thm)],[47864, 47862])).
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% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
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% 9.84/7.29 inference(modus_ponens,[status(thm)],[47866, 47865])).
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% 9.84/7.29 inference(unit_resolution,[status(thm)],[47867, 36, 47861])).
% 9.84/7.29 tff(47869,plain,
% 9.84/7.29 (xuntil6(s368)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47868, 47857])).
% 9.84/7.29 tff(47870,plain,
% 9.84/7.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s368, s369)) | (~xuntil6(s368)) | until5(s369))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s368, s369)) | (~xuntil6(s368)) | until5(s369))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47871,plain,
% 9.84/7.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s368, s369)) | (~xuntil6(s368)) | until5(s369))),
% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47872,plain,
% 9.84/7.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s368, s369)) | (~xuntil6(s368)) | until5(s369)),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47871, 47870])).
% 9.84/7.29 tff(47873,plain,
% 9.84/7.29 ((~xuntil6(s368)) | until5(s369)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47872, 45356, 141])).
% 9.84/7.29 tff(47874,plain,
% 9.84/7.29 (until5(s369)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47873, 47869])).
% 9.84/7.29 tff(47875,plain,
% 9.84/7.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s369) | (~node4(s369)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s369) | (~node4(s369)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47876,plain,
% 9.84/7.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s369) | (~node4(s369)))),
% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47877,plain,
% 9.84/7.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s369) | (~node4(s369))),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47876, 47875])).
% 9.84/7.29 tff(47878,plain,
% 9.84/7.29 (~node4(s369)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47877, 22, 45353])).
% 9.84/7.29 tff(47879,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s369) | node4(s369) | (~until5(s369)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s369) | node4(s369) | (~until5(s369)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47880,plain,
% 9.84/7.29 ((node4(s369) | (~until5(s369)) | xuntil6(s369)) <=> (xuntil6(s369) | node4(s369) | (~until5(s369)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47881,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s369) | (~until5(s369)) | xuntil6(s369))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s369) | node4(s369) | (~until5(s369))))),
% 9.84/7.29 inference(monotonicity,[status(thm)],[47880])).
% 9.84/7.29 tff(47882,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s369) | (~until5(s369)) | xuntil6(s369))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s369) | node4(s369) | (~until5(s369)))),
% 9.84/7.29 inference(transitivity,[status(thm)],[47881, 47879])).
% 9.84/7.29 tff(47883,plain,
% 9.84/7.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s369) | (~until5(s369)) | xuntil6(s369))),
% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47884,plain,
% 9.84/7.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s369) | node4(s369) | (~until5(s369))),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47883, 47882])).
% 9.84/7.29 tff(47885,plain,
% 9.84/7.29 (xuntil6(s369) | (~until5(s369))),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47884, 36, 47878])).
% 9.84/7.29 tff(47886,plain,
% 9.84/7.29 (xuntil6(s369)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47885, 47874])).
% 9.84/7.29 tff(47887,plain,
% 9.84/7.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s369, s370)) | (~xuntil6(s369)) | until5(s370))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s369, s370)) | (~xuntil6(s369)) | until5(s370))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47888,plain,
% 9.84/7.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s369, s370)) | (~xuntil6(s369)) | until5(s370))),
% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47889,plain,
% 9.84/7.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s369, s370)) | (~xuntil6(s369)) | until5(s370)),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47888, 47887])).
% 9.84/7.29 tff(47890,plain,
% 9.84/7.29 ((~xuntil6(s369)) | until5(s370)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47889, 45344, 141])).
% 9.84/7.29 tff(47891,plain,
% 9.84/7.29 (until5(s370)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47890, 47886])).
% 9.84/7.29 tff(47892,plain,
% 9.84/7.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s370) | (~node4(s370)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s370) | (~node4(s370)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47893,plain,
% 9.84/7.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s370) | (~node4(s370)))),
% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47894,plain,
% 9.84/7.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s370) | (~node4(s370))),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47893, 47892])).
% 9.84/7.29 tff(47895,plain,
% 9.84/7.29 (~node4(s370)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47894, 22, 45341])).
% 9.84/7.29 tff(47896,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s370) | node4(s370) | (~until5(s370)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s370) | node4(s370) | (~until5(s370)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47897,plain,
% 9.84/7.29 ((node4(s370) | (~until5(s370)) | xuntil6(s370)) <=> (xuntil6(s370) | node4(s370) | (~until5(s370)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47898,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s370) | (~until5(s370)) | xuntil6(s370))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s370) | node4(s370) | (~until5(s370))))),
% 9.84/7.29 inference(monotonicity,[status(thm)],[47897])).
% 9.84/7.29 tff(47899,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s370) | (~until5(s370)) | xuntil6(s370))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s370) | node4(s370) | (~until5(s370)))),
% 9.84/7.29 inference(transitivity,[status(thm)],[47898, 47896])).
% 9.84/7.29 tff(47900,plain,
% 9.84/7.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s370) | (~until5(s370)) | xuntil6(s370))),
% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47901,plain,
% 9.84/7.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s370) | node4(s370) | (~until5(s370))),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47900, 47899])).
% 9.84/7.29 tff(47902,plain,
% 9.84/7.29 (xuntil6(s370) | (~until5(s370))),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47901, 36, 47895])).
% 9.84/7.29 tff(47903,plain,
% 9.84/7.29 (xuntil6(s370)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47902, 47891])).
% 9.84/7.29 tff(47904,plain,
% 9.84/7.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s370, s371)) | (~xuntil6(s370)) | until5(s371))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s370, s371)) | (~xuntil6(s370)) | until5(s371))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47905,plain,
% 9.84/7.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s370, s371)) | (~xuntil6(s370)) | until5(s371))),
% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47906,plain,
% 9.84/7.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s370, s371)) | (~xuntil6(s370)) | until5(s371)),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47905, 47904])).
% 9.84/7.29 tff(47907,plain,
% 9.84/7.29 ((~xuntil6(s370)) | until5(s371)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47906, 45332, 141])).
% 9.84/7.29 tff(47908,plain,
% 9.84/7.29 (until5(s371)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47907, 47903])).
% 9.84/7.29 tff(47909,plain,
% 9.84/7.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s371) | (~node4(s371)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s371) | (~node4(s371)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47910,plain,
% 9.84/7.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s371) | (~node4(s371)))),
% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47911,plain,
% 9.84/7.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s371) | (~node4(s371))),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47910, 47909])).
% 9.84/7.29 tff(47912,plain,
% 9.84/7.29 (~node4(s371)),
% 9.84/7.29 inference(unit_resolution,[status(thm)],[47911, 22, 45329])).
% 9.84/7.29 tff(47913,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s371) | node4(s371) | (~until5(s371)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s371) | node4(s371) | (~until5(s371)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47914,plain,
% 9.84/7.29 ((node4(s371) | (~until5(s371)) | xuntil6(s371)) <=> (xuntil6(s371) | node4(s371) | (~until5(s371)))),
% 9.84/7.29 inference(rewrite,[status(thm)],[])).
% 9.84/7.29 tff(47915,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s371) | (~until5(s371)) | xuntil6(s371))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s371) | node4(s371) | (~until5(s371))))),
% 9.84/7.29 inference(monotonicity,[status(thm)],[47914])).
% 9.84/7.29 tff(47916,plain,
% 9.84/7.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s371) | (~until5(s371)) | xuntil6(s371))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s371) | node4(s371) | (~until5(s371)))),
% 9.84/7.29 inference(transitivity,[status(thm)],[47915, 47913])).
% 9.84/7.29 tff(47917,plain,
% 9.84/7.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s371) | (~until5(s371)) | xuntil6(s371))),
% 9.84/7.29 inference(quant_inst,[status(thm)],[])).
% 9.84/7.29 tff(47918,plain,
% 9.84/7.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s371) | node4(s371) | (~until5(s371))),
% 9.84/7.29 inference(modus_ponens,[status(thm)],[47917, 47916])).
% 9.84/7.30 tff(47919,plain,
% 9.84/7.30 (xuntil6(s371) | (~until5(s371))),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[47918, 36, 47912])).
% 9.84/7.30 tff(47920,plain,
% 9.84/7.30 (xuntil6(s371)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[47919, 47908])).
% 9.84/7.30 tff(47921,plain,
% 9.84/7.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s371, s372)) | (~xuntil6(s371)) | until5(s372))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s371, s372)) | (~xuntil6(s371)) | until5(s372))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(47922,plain,
% 9.84/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s371, s372)) | (~xuntil6(s371)) | until5(s372))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(47923,plain,
% 9.84/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s371, s372)) | (~xuntil6(s371)) | until5(s372)),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[47922, 47921])).
% 9.84/7.30 tff(47924,plain,
% 9.84/7.30 ((~xuntil6(s371)) | until5(s372)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[47923, 45320, 141])).
% 9.84/7.30 tff(47925,plain,
% 9.84/7.30 (until5(s372)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[47924, 47920])).
% 9.84/7.30 tff(47926,plain,
% 9.84/7.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s372) | (~node4(s372)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s372) | (~node4(s372)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(47927,plain,
% 9.84/7.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s372) | (~node4(s372)))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(47928,plain,
% 9.84/7.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s372) | (~node4(s372))),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[47927, 47926])).
% 9.84/7.30 tff(47929,plain,
% 9.84/7.30 (~node4(s372)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[47928, 22, 45317])).
% 9.84/7.30 tff(47930,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s372) | node4(s372) | (~until5(s372)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s372) | node4(s372) | (~until5(s372)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(47931,plain,
% 9.84/7.30 ((node4(s372) | (~until5(s372)) | xuntil6(s372)) <=> (xuntil6(s372) | node4(s372) | (~until5(s372)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(47932,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s372) | (~until5(s372)) | xuntil6(s372))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s372) | node4(s372) | (~until5(s372))))),
% 9.84/7.30 inference(monotonicity,[status(thm)],[47931])).
% 9.84/7.30 tff(47933,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s372) | (~until5(s372)) | xuntil6(s372))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s372) | node4(s372) | (~until5(s372)))),
% 9.84/7.30 inference(transitivity,[status(thm)],[47932, 47930])).
% 9.84/7.30 tff(47934,plain,
% 9.84/7.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s372) | (~until5(s372)) | xuntil6(s372))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(47935,plain,
% 9.84/7.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s372) | node4(s372) | (~until5(s372))),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[47934, 47933])).
% 9.84/7.30 tff(47936,plain,
% 9.84/7.30 (xuntil6(s372) | (~until5(s372))),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[47935, 36, 47929])).
% 9.84/7.30 tff(47937,plain,
% 9.84/7.30 (xuntil6(s372)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[47936, 47925])).
% 9.84/7.30 tff(47938,plain,
% 9.84/7.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s372, s373)) | (~xuntil6(s372)) | until5(s373))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s372, s373)) | (~xuntil6(s372)) | until5(s373))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(47939,plain,
% 9.84/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s372, s373)) | (~xuntil6(s372)) | until5(s373))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(47940,plain,
% 9.84/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s372, s373)) | (~xuntil6(s372)) | until5(s373)),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[47939, 47938])).
% 9.84/7.30 tff(47941,plain,
% 9.84/7.30 ((~xuntil6(s372)) | until5(s373)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[47940, 45308, 141])).
% 9.84/7.30 tff(47942,plain,
% 9.84/7.30 (until5(s373)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[47941, 47937])).
% 9.84/7.30 tff(47943,plain,
% 9.84/7.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s373) | (~node4(s373)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s373) | (~node4(s373)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(47944,plain,
% 9.84/7.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s373) | (~node4(s373)))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(47945,plain,
% 9.84/7.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s373) | (~node4(s373))),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[47944, 47943])).
% 9.84/7.30 tff(47946,plain,
% 9.84/7.30 (~node4(s373)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[47945, 22, 45305])).
% 9.84/7.30 tff(47947,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s373) | node4(s373) | (~until5(s373)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s373) | node4(s373) | (~until5(s373)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(47948,plain,
% 9.84/7.30 ((node4(s373) | (~until5(s373)) | xuntil6(s373)) <=> (xuntil6(s373) | node4(s373) | (~until5(s373)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(47949,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s373) | (~until5(s373)) | xuntil6(s373))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s373) | node4(s373) | (~until5(s373))))),
% 9.84/7.30 inference(monotonicity,[status(thm)],[47948])).
% 9.84/7.30 tff(47950,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s373) | (~until5(s373)) | xuntil6(s373))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s373) | node4(s373) | (~until5(s373)))),
% 9.84/7.30 inference(transitivity,[status(thm)],[47949, 47947])).
% 9.84/7.30 tff(47951,plain,
% 9.84/7.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s373) | (~until5(s373)) | xuntil6(s373))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(47952,plain,
% 9.84/7.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s373) | node4(s373) | (~until5(s373))),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[47951, 47950])).
% 9.84/7.30 tff(47953,plain,
% 9.84/7.30 (xuntil6(s373) | (~until5(s373))),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[47952, 36, 47946])).
% 9.84/7.30 tff(47954,plain,
% 9.84/7.30 (xuntil6(s373)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[47953, 47942])).
% 9.84/7.30 tff(47955,plain,
% 9.84/7.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s373, s374)) | (~xuntil6(s373)) | until5(s374))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s373, s374)) | (~xuntil6(s373)) | until5(s374))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(47956,plain,
% 9.84/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s373, s374)) | (~xuntil6(s373)) | until5(s374))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(47957,plain,
% 9.84/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s373, s374)) | (~xuntil6(s373)) | until5(s374)),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[47956, 47955])).
% 9.84/7.30 tff(47958,plain,
% 9.84/7.30 ((~xuntil6(s373)) | until5(s374)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[47957, 45296, 141])).
% 9.84/7.30 tff(47959,plain,
% 9.84/7.30 (until5(s374)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[47958, 47954])).
% 9.84/7.30 tff(47960,plain,
% 9.84/7.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s374) | (~node4(s374)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s374) | (~node4(s374)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(47961,plain,
% 9.84/7.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s374) | (~node4(s374)))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(47962,plain,
% 9.84/7.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s374) | (~node4(s374))),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[47961, 47960])).
% 9.84/7.30 tff(47963,plain,
% 9.84/7.30 (~node4(s374)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[47962, 22, 45293])).
% 9.84/7.30 tff(47964,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s374) | node4(s374) | (~until5(s374)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s374) | node4(s374) | (~until5(s374)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(47965,plain,
% 9.84/7.30 ((node4(s374) | (~until5(s374)) | xuntil6(s374)) <=> (xuntil6(s374) | node4(s374) | (~until5(s374)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(47966,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s374) | (~until5(s374)) | xuntil6(s374))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s374) | node4(s374) | (~until5(s374))))),
% 9.84/7.30 inference(monotonicity,[status(thm)],[47965])).
% 9.84/7.30 tff(47967,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s374) | (~until5(s374)) | xuntil6(s374))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s374) | node4(s374) | (~until5(s374)))),
% 9.84/7.30 inference(transitivity,[status(thm)],[47966, 47964])).
% 9.84/7.30 tff(47968,plain,
% 9.84/7.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s374) | (~until5(s374)) | xuntil6(s374))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(47969,plain,
% 9.84/7.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s374) | node4(s374) | (~until5(s374))),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[47968, 47967])).
% 9.84/7.30 tff(47970,plain,
% 9.84/7.30 (xuntil6(s374) | (~until5(s374))),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[47969, 36, 47963])).
% 9.84/7.30 tff(47971,plain,
% 9.84/7.30 (xuntil6(s374)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[47970, 47959])).
% 9.84/7.30 tff(47972,plain,
% 9.84/7.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s374, s375)) | (~xuntil6(s374)) | until5(s375))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s374, s375)) | (~xuntil6(s374)) | until5(s375))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(47973,plain,
% 9.84/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s374, s375)) | (~xuntil6(s374)) | until5(s375))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(47974,plain,
% 9.84/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s374, s375)) | (~xuntil6(s374)) | until5(s375)),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[47973, 47972])).
% 9.84/7.30 tff(47975,plain,
% 9.84/7.30 ((~xuntil6(s374)) | until5(s375)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[47974, 45284, 141])).
% 9.84/7.30 tff(47976,plain,
% 9.84/7.30 (until5(s375)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[47975, 47971])).
% 9.84/7.30 tff(47977,plain,
% 9.84/7.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s375) | (~node4(s375)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s375) | (~node4(s375)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(47978,plain,
% 9.84/7.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s375) | (~node4(s375)))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(47979,plain,
% 9.84/7.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s375) | (~node4(s375))),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[47978, 47977])).
% 9.84/7.30 tff(47980,plain,
% 9.84/7.30 (~node4(s375)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[47979, 22, 45281])).
% 9.84/7.30 tff(47981,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s375) | node4(s375) | (~until5(s375)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s375) | node4(s375) | (~until5(s375)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(47982,plain,
% 9.84/7.30 ((node4(s375) | (~until5(s375)) | xuntil6(s375)) <=> (xuntil6(s375) | node4(s375) | (~until5(s375)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(47983,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s375) | (~until5(s375)) | xuntil6(s375))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s375) | node4(s375) | (~until5(s375))))),
% 9.84/7.30 inference(monotonicity,[status(thm)],[47982])).
% 9.84/7.30 tff(47984,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s375) | (~until5(s375)) | xuntil6(s375))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s375) | node4(s375) | (~until5(s375)))),
% 9.84/7.30 inference(transitivity,[status(thm)],[47983, 47981])).
% 9.84/7.30 tff(47985,plain,
% 9.84/7.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s375) | (~until5(s375)) | xuntil6(s375))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(47986,plain,
% 9.84/7.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s375) | node4(s375) | (~until5(s375))),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[47985, 47984])).
% 9.84/7.30 tff(47987,plain,
% 9.84/7.30 (xuntil6(s375) | (~until5(s375))),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[47986, 36, 47980])).
% 9.84/7.30 tff(47988,plain,
% 9.84/7.30 (xuntil6(s375)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[47987, 47976])).
% 9.84/7.30 tff(47989,plain,
% 9.84/7.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s375, s376)) | (~xuntil6(s375)) | until5(s376))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s375, s376)) | (~xuntil6(s375)) | until5(s376))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(47990,plain,
% 9.84/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s375, s376)) | (~xuntil6(s375)) | until5(s376))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(47991,plain,
% 9.84/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s375, s376)) | (~xuntil6(s375)) | until5(s376)),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[47990, 47989])).
% 9.84/7.30 tff(47992,plain,
% 9.84/7.30 ((~xuntil6(s375)) | until5(s376)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[47991, 45272, 141])).
% 9.84/7.30 tff(47993,plain,
% 9.84/7.30 (until5(s376)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[47992, 47988])).
% 9.84/7.30 tff(47994,plain,
% 9.84/7.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s376) | (~node4(s376)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s376) | (~node4(s376)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(47995,plain,
% 9.84/7.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s376) | (~node4(s376)))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(47996,plain,
% 9.84/7.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s376) | (~node4(s376))),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[47995, 47994])).
% 9.84/7.30 tff(47997,plain,
% 9.84/7.30 (~node4(s376)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[47996, 22, 45269])).
% 9.84/7.30 tff(47998,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s376) | node4(s376) | (~until5(s376)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s376) | node4(s376) | (~until5(s376)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(47999,plain,
% 9.84/7.30 ((node4(s376) | (~until5(s376)) | xuntil6(s376)) <=> (xuntil6(s376) | node4(s376) | (~until5(s376)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48000,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s376) | (~until5(s376)) | xuntil6(s376))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s376) | node4(s376) | (~until5(s376))))),
% 9.84/7.30 inference(monotonicity,[status(thm)],[47999])).
% 9.84/7.30 tff(48001,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s376) | (~until5(s376)) | xuntil6(s376))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s376) | node4(s376) | (~until5(s376)))),
% 9.84/7.30 inference(transitivity,[status(thm)],[48000, 47998])).
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% 9.84/7.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s376) | (~until5(s376)) | xuntil6(s376))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(48003,plain,
% 9.84/7.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s376) | node4(s376) | (~until5(s376))),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[48002, 48001])).
% 9.84/7.30 tff(48004,plain,
% 9.84/7.30 (xuntil6(s376) | (~until5(s376))),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48003, 36, 47997])).
% 9.84/7.30 tff(48005,plain,
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% 9.84/7.30 inference(unit_resolution,[status(thm)],[48004, 47993])).
% 9.84/7.30 tff(48006,plain,
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% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48007,plain,
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% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(48008,plain,
% 9.84/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s376, s377)) | (~xuntil6(s376)) | until5(s377)),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[48007, 48006])).
% 9.84/7.30 tff(48009,plain,
% 9.84/7.30 ((~xuntil6(s376)) | until5(s377)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48008, 45260, 141])).
% 9.84/7.30 tff(48010,plain,
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% 9.84/7.30 inference(unit_resolution,[status(thm)],[48009, 48005])).
% 9.84/7.30 tff(48011,plain,
% 9.84/7.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s377) | (~node4(s377)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s377) | (~node4(s377)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48012,plain,
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% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(48013,plain,
% 9.84/7.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s377) | (~node4(s377))),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[48012, 48011])).
% 9.84/7.30 tff(48014,plain,
% 9.84/7.30 (~node4(s377)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48013, 22, 45257])).
% 9.84/7.30 tff(48015,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s377) | node4(s377) | (~until5(s377)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s377) | node4(s377) | (~until5(s377)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48016,plain,
% 9.84/7.30 ((node4(s377) | (~until5(s377)) | xuntil6(s377)) <=> (xuntil6(s377) | node4(s377) | (~until5(s377)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48017,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s377) | (~until5(s377)) | xuntil6(s377))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s377) | node4(s377) | (~until5(s377))))),
% 9.84/7.30 inference(monotonicity,[status(thm)],[48016])).
% 9.84/7.30 tff(48018,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s377) | (~until5(s377)) | xuntil6(s377))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s377) | node4(s377) | (~until5(s377)))),
% 9.84/7.30 inference(transitivity,[status(thm)],[48017, 48015])).
% 9.84/7.30 tff(48019,plain,
% 9.84/7.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s377) | (~until5(s377)) | xuntil6(s377))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(48020,plain,
% 9.84/7.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s377) | node4(s377) | (~until5(s377))),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[48019, 48018])).
% 9.84/7.30 tff(48021,plain,
% 9.84/7.30 (xuntil6(s377) | (~until5(s377))),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48020, 36, 48014])).
% 9.84/7.30 tff(48022,plain,
% 9.84/7.30 (xuntil6(s377)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48021, 48010])).
% 9.84/7.30 tff(48023,plain,
% 9.84/7.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s377, s378)) | (~xuntil6(s377)) | until5(s378))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s377, s378)) | (~xuntil6(s377)) | until5(s378))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48024,plain,
% 9.84/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s377, s378)) | (~xuntil6(s377)) | until5(s378))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(48025,plain,
% 9.84/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s377, s378)) | (~xuntil6(s377)) | until5(s378)),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[48024, 48023])).
% 9.84/7.30 tff(48026,plain,
% 9.84/7.30 ((~xuntil6(s377)) | until5(s378)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48025, 45248, 141])).
% 9.84/7.30 tff(48027,plain,
% 9.84/7.30 (until5(s378)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48026, 48022])).
% 9.84/7.30 tff(48028,plain,
% 9.84/7.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s378) | (~node4(s378)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s378) | (~node4(s378)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48029,plain,
% 9.84/7.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s378) | (~node4(s378)))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(48030,plain,
% 9.84/7.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s378) | (~node4(s378))),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[48029, 48028])).
% 9.84/7.30 tff(48031,plain,
% 9.84/7.30 (~node4(s378)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48030, 22, 45245])).
% 9.84/7.30 tff(48032,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s378) | node4(s378) | (~until5(s378)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s378) | node4(s378) | (~until5(s378)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48033,plain,
% 9.84/7.30 ((node4(s378) | (~until5(s378)) | xuntil6(s378)) <=> (xuntil6(s378) | node4(s378) | (~until5(s378)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48034,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s378) | (~until5(s378)) | xuntil6(s378))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s378) | node4(s378) | (~until5(s378))))),
% 9.84/7.30 inference(monotonicity,[status(thm)],[48033])).
% 9.84/7.30 tff(48035,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s378) | (~until5(s378)) | xuntil6(s378))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s378) | node4(s378) | (~until5(s378)))),
% 9.84/7.30 inference(transitivity,[status(thm)],[48034, 48032])).
% 9.84/7.30 tff(48036,plain,
% 9.84/7.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s378) | (~until5(s378)) | xuntil6(s378))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(48037,plain,
% 9.84/7.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s378) | node4(s378) | (~until5(s378))),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[48036, 48035])).
% 9.84/7.30 tff(48038,plain,
% 9.84/7.30 (xuntil6(s378) | (~until5(s378))),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48037, 36, 48031])).
% 9.84/7.30 tff(48039,plain,
% 9.84/7.30 (xuntil6(s378)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48038, 48027])).
% 9.84/7.30 tff(48040,plain,
% 9.84/7.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s378, s379)) | (~xuntil6(s378)) | until5(s379))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s378, s379)) | (~xuntil6(s378)) | until5(s379))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48041,plain,
% 9.84/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s378, s379)) | (~xuntil6(s378)) | until5(s379))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(48042,plain,
% 9.84/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s378, s379)) | (~xuntil6(s378)) | until5(s379)),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[48041, 48040])).
% 9.84/7.30 tff(48043,plain,
% 9.84/7.30 ((~xuntil6(s378)) | until5(s379)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48042, 45236, 141])).
% 9.84/7.30 tff(48044,plain,
% 9.84/7.30 (until5(s379)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48043, 48039])).
% 9.84/7.30 tff(48045,plain,
% 9.84/7.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s379) | (~node4(s379)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s379) | (~node4(s379)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48046,plain,
% 9.84/7.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s379) | (~node4(s379)))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(48047,plain,
% 9.84/7.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s379) | (~node4(s379))),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[48046, 48045])).
% 9.84/7.30 tff(48048,plain,
% 9.84/7.30 (~node4(s379)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48047, 22, 45233])).
% 9.84/7.30 tff(48049,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s379) | node4(s379) | (~until5(s379)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s379) | node4(s379) | (~until5(s379)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48050,plain,
% 9.84/7.30 ((node4(s379) | (~until5(s379)) | xuntil6(s379)) <=> (xuntil6(s379) | node4(s379) | (~until5(s379)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48051,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s379) | (~until5(s379)) | xuntil6(s379))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s379) | node4(s379) | (~until5(s379))))),
% 9.84/7.30 inference(monotonicity,[status(thm)],[48050])).
% 9.84/7.30 tff(48052,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s379) | (~until5(s379)) | xuntil6(s379))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s379) | node4(s379) | (~until5(s379)))),
% 9.84/7.30 inference(transitivity,[status(thm)],[48051, 48049])).
% 9.84/7.30 tff(48053,plain,
% 9.84/7.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s379) | (~until5(s379)) | xuntil6(s379))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(48054,plain,
% 9.84/7.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s379) | node4(s379) | (~until5(s379))),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[48053, 48052])).
% 9.84/7.30 tff(48055,plain,
% 9.84/7.30 (xuntil6(s379) | (~until5(s379))),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48054, 36, 48048])).
% 9.84/7.30 tff(48056,plain,
% 9.84/7.30 (xuntil6(s379)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48055, 48044])).
% 9.84/7.30 tff(48057,plain,
% 9.84/7.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s379, s380)) | (~xuntil6(s379)) | until5(s380))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s379, s380)) | (~xuntil6(s379)) | until5(s380))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48058,plain,
% 9.84/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s379, s380)) | (~xuntil6(s379)) | until5(s380))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(48059,plain,
% 9.84/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s379, s380)) | (~xuntil6(s379)) | until5(s380)),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[48058, 48057])).
% 9.84/7.30 tff(48060,plain,
% 9.84/7.30 ((~xuntil6(s379)) | until5(s380)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48059, 45224, 141])).
% 9.84/7.30 tff(48061,plain,
% 9.84/7.30 (until5(s380)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48060, 48056])).
% 9.84/7.30 tff(48062,plain,
% 9.84/7.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s380) | (~node4(s380)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s380) | (~node4(s380)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48063,plain,
% 9.84/7.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s380) | (~node4(s380)))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(48064,plain,
% 9.84/7.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s380) | (~node4(s380))),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[48063, 48062])).
% 9.84/7.30 tff(48065,plain,
% 9.84/7.30 (~node4(s380)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48064, 22, 45221])).
% 9.84/7.30 tff(48066,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s380) | node4(s380) | (~until5(s380)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s380) | node4(s380) | (~until5(s380)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48067,plain,
% 9.84/7.30 ((node4(s380) | (~until5(s380)) | xuntil6(s380)) <=> (xuntil6(s380) | node4(s380) | (~until5(s380)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48068,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s380) | (~until5(s380)) | xuntil6(s380))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s380) | node4(s380) | (~until5(s380))))),
% 9.84/7.30 inference(monotonicity,[status(thm)],[48067])).
% 9.84/7.30 tff(48069,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s380) | (~until5(s380)) | xuntil6(s380))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s380) | node4(s380) | (~until5(s380)))),
% 9.84/7.30 inference(transitivity,[status(thm)],[48068, 48066])).
% 9.84/7.30 tff(48070,plain,
% 9.84/7.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s380) | (~until5(s380)) | xuntil6(s380))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(48071,plain,
% 9.84/7.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s380) | node4(s380) | (~until5(s380))),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[48070, 48069])).
% 9.84/7.30 tff(48072,plain,
% 9.84/7.30 (xuntil6(s380) | (~until5(s380))),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48071, 36, 48065])).
% 9.84/7.30 tff(48073,plain,
% 9.84/7.30 (xuntil6(s380)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48072, 48061])).
% 9.84/7.30 tff(48074,plain,
% 9.84/7.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s380, s381)) | (~xuntil6(s380)) | until5(s381))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s380, s381)) | (~xuntil6(s380)) | until5(s381))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48075,plain,
% 9.84/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s380, s381)) | (~xuntil6(s380)) | until5(s381))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(48076,plain,
% 9.84/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s380, s381)) | (~xuntil6(s380)) | until5(s381)),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[48075, 48074])).
% 9.84/7.30 tff(48077,plain,
% 9.84/7.30 ((~xuntil6(s380)) | until5(s381)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48076, 45212, 141])).
% 9.84/7.30 tff(48078,plain,
% 9.84/7.30 (until5(s381)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48077, 48073])).
% 9.84/7.30 tff(48079,plain,
% 9.84/7.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s381) | (~node4(s381)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s381) | (~node4(s381)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48080,plain,
% 9.84/7.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s381) | (~node4(s381)))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(48081,plain,
% 9.84/7.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s381) | (~node4(s381))),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[48080, 48079])).
% 9.84/7.30 tff(48082,plain,
% 9.84/7.30 (~node4(s381)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48081, 22, 45209])).
% 9.84/7.30 tff(48083,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s381) | node4(s381) | (~until5(s381)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s381) | node4(s381) | (~until5(s381)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48084,plain,
% 9.84/7.30 ((node4(s381) | (~until5(s381)) | xuntil6(s381)) <=> (xuntil6(s381) | node4(s381) | (~until5(s381)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48085,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s381) | (~until5(s381)) | xuntil6(s381))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s381) | node4(s381) | (~until5(s381))))),
% 9.84/7.30 inference(monotonicity,[status(thm)],[48084])).
% 9.84/7.30 tff(48086,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s381) | (~until5(s381)) | xuntil6(s381))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s381) | node4(s381) | (~until5(s381)))),
% 9.84/7.30 inference(transitivity,[status(thm)],[48085, 48083])).
% 9.84/7.30 tff(48087,plain,
% 9.84/7.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s381) | (~until5(s381)) | xuntil6(s381))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(48088,plain,
% 9.84/7.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s381) | node4(s381) | (~until5(s381))),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[48087, 48086])).
% 9.84/7.30 tff(48089,plain,
% 9.84/7.30 (xuntil6(s381) | (~until5(s381))),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48088, 36, 48082])).
% 9.84/7.30 tff(48090,plain,
% 9.84/7.30 (xuntil6(s381)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48089, 48078])).
% 9.84/7.30 tff(48091,plain,
% 9.84/7.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s381, s382)) | (~xuntil6(s381)) | until5(s382))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s381, s382)) | (~xuntil6(s381)) | until5(s382))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48092,plain,
% 9.84/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s381, s382)) | (~xuntil6(s381)) | until5(s382))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(48093,plain,
% 9.84/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s381, s382)) | (~xuntil6(s381)) | until5(s382)),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[48092, 48091])).
% 9.84/7.30 tff(48094,plain,
% 9.84/7.30 ((~xuntil6(s381)) | until5(s382)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48093, 45200, 141])).
% 9.84/7.30 tff(48095,plain,
% 9.84/7.30 (until5(s382)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48094, 48090])).
% 9.84/7.30 tff(48096,plain,
% 9.84/7.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s382) | (~node4(s382)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s382) | (~node4(s382)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48097,plain,
% 9.84/7.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s382) | (~node4(s382)))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(48098,plain,
% 9.84/7.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s382) | (~node4(s382))),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[48097, 48096])).
% 9.84/7.30 tff(48099,plain,
% 9.84/7.30 (~node4(s382)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48098, 22, 45197])).
% 9.84/7.30 tff(48100,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s382) | node4(s382) | (~until5(s382)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s382) | node4(s382) | (~until5(s382)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48101,plain,
% 9.84/7.30 ((node4(s382) | (~until5(s382)) | xuntil6(s382)) <=> (xuntil6(s382) | node4(s382) | (~until5(s382)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48102,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s382) | (~until5(s382)) | xuntil6(s382))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s382) | node4(s382) | (~until5(s382))))),
% 9.84/7.30 inference(monotonicity,[status(thm)],[48101])).
% 9.84/7.30 tff(48103,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s382) | (~until5(s382)) | xuntil6(s382))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s382) | node4(s382) | (~until5(s382)))),
% 9.84/7.30 inference(transitivity,[status(thm)],[48102, 48100])).
% 9.84/7.30 tff(48104,plain,
% 9.84/7.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s382) | (~until5(s382)) | xuntil6(s382))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(48105,plain,
% 9.84/7.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s382) | node4(s382) | (~until5(s382))),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[48104, 48103])).
% 9.84/7.30 tff(48106,plain,
% 9.84/7.30 (xuntil6(s382) | (~until5(s382))),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48105, 36, 48099])).
% 9.84/7.30 tff(48107,plain,
% 9.84/7.30 (xuntil6(s382)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48106, 48095])).
% 9.84/7.30 tff(48108,plain,
% 9.84/7.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s382, s383)) | (~xuntil6(s382)) | until5(s383))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s382, s383)) | (~xuntil6(s382)) | until5(s383))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48109,plain,
% 9.84/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s382, s383)) | (~xuntil6(s382)) | until5(s383))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(48110,plain,
% 9.84/7.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s382, s383)) | (~xuntil6(s382)) | until5(s383)),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[48109, 48108])).
% 9.84/7.30 tff(48111,plain,
% 9.84/7.30 ((~xuntil6(s382)) | until5(s383)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48110, 45188, 141])).
% 9.84/7.30 tff(48112,plain,
% 9.84/7.30 (until5(s383)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48111, 48107])).
% 9.84/7.30 tff(48113,plain,
% 9.84/7.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s383) | (~node4(s383)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s383) | (~node4(s383)))),
% 9.84/7.30 inference(rewrite,[status(thm)],[])).
% 9.84/7.30 tff(48114,plain,
% 9.84/7.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s383) | (~node4(s383)))),
% 9.84/7.30 inference(quant_inst,[status(thm)],[])).
% 9.84/7.30 tff(48115,plain,
% 9.84/7.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s383) | (~node4(s383))),
% 9.84/7.30 inference(modus_ponens,[status(thm)],[48114, 48113])).
% 9.84/7.30 tff(48116,plain,
% 9.84/7.30 (~node4(s383)),
% 9.84/7.30 inference(unit_resolution,[status(thm)],[48115, 22, 45185])).
% 9.84/7.30 tff(48117,plain,
% 9.84/7.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s383) | node4(s383) | (~until5(s383)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s383) | node4(s383) | (~until5(s383)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48118,plain,
% 9.84/7.31 ((node4(s383) | (~until5(s383)) | xuntil6(s383)) <=> (xuntil6(s383) | node4(s383) | (~until5(s383)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48119,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s383) | (~until5(s383)) | xuntil6(s383))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s383) | node4(s383) | (~until5(s383))))),
% 9.84/7.31 inference(monotonicity,[status(thm)],[48118])).
% 9.84/7.31 tff(48120,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s383) | (~until5(s383)) | xuntil6(s383))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s383) | node4(s383) | (~until5(s383)))),
% 9.84/7.31 inference(transitivity,[status(thm)],[48119, 48117])).
% 9.84/7.31 tff(48121,plain,
% 9.84/7.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s383) | (~until5(s383)) | xuntil6(s383))),
% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48122,plain,
% 9.84/7.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s383) | node4(s383) | (~until5(s383))),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48121, 48120])).
% 9.84/7.31 tff(48123,plain,
% 9.84/7.31 (xuntil6(s383) | (~until5(s383))),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48122, 36, 48116])).
% 9.84/7.31 tff(48124,plain,
% 9.84/7.31 (xuntil6(s383)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48123, 48112])).
% 9.84/7.31 tff(48125,plain,
% 9.84/7.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s383, s384)) | (~xuntil6(s383)) | until5(s384))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s383, s384)) | (~xuntil6(s383)) | until5(s384))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48126,plain,
% 9.84/7.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s383, s384)) | (~xuntil6(s383)) | until5(s384))),
% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48127,plain,
% 9.84/7.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s383, s384)) | (~xuntil6(s383)) | until5(s384)),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48126, 48125])).
% 9.84/7.31 tff(48128,plain,
% 9.84/7.31 ((~xuntil6(s383)) | until5(s384)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48127, 45176, 141])).
% 9.84/7.31 tff(48129,plain,
% 9.84/7.31 (until5(s384)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48128, 48124])).
% 9.84/7.31 tff(48130,plain,
% 9.84/7.31 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s384) | (~node4(s384)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s384) | (~node4(s384)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48131,plain,
% 9.84/7.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s384) | (~node4(s384)))),
% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48132,plain,
% 9.84/7.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s384) | (~node4(s384))),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48131, 48130])).
% 9.84/7.31 tff(48133,plain,
% 9.84/7.31 (~node4(s384)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48132, 22, 45173])).
% 9.84/7.31 tff(48134,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s384) | node4(s384) | (~until5(s384)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s384) | node4(s384) | (~until5(s384)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48135,plain,
% 9.84/7.31 ((node4(s384) | (~until5(s384)) | xuntil6(s384)) <=> (xuntil6(s384) | node4(s384) | (~until5(s384)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48136,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s384) | (~until5(s384)) | xuntil6(s384))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s384) | node4(s384) | (~until5(s384))))),
% 9.84/7.31 inference(monotonicity,[status(thm)],[48135])).
% 9.84/7.31 tff(48137,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s384) | (~until5(s384)) | xuntil6(s384))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s384) | node4(s384) | (~until5(s384)))),
% 9.84/7.31 inference(transitivity,[status(thm)],[48136, 48134])).
% 9.84/7.31 tff(48138,plain,
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% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48139,plain,
% 9.84/7.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s384) | node4(s384) | (~until5(s384))),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48138, 48137])).
% 9.84/7.31 tff(48140,plain,
% 9.84/7.31 (xuntil6(s384) | (~until5(s384))),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48139, 36, 48133])).
% 9.84/7.31 tff(48141,plain,
% 9.84/7.31 (xuntil6(s384)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48140, 48129])).
% 9.84/7.31 tff(48142,plain,
% 9.84/7.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s384, s385)) | (~xuntil6(s384)) | until5(s385))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s384, s385)) | (~xuntil6(s384)) | until5(s385))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48143,plain,
% 9.84/7.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s384, s385)) | (~xuntil6(s384)) | until5(s385))),
% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48144,plain,
% 9.84/7.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s384, s385)) | (~xuntil6(s384)) | until5(s385)),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48143, 48142])).
% 9.84/7.31 tff(48145,plain,
% 9.84/7.31 ((~xuntil6(s384)) | until5(s385)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48144, 45164, 141])).
% 9.84/7.31 tff(48146,plain,
% 9.84/7.31 (until5(s385)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48145, 48141])).
% 9.84/7.31 tff(48147,plain,
% 9.84/7.31 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s385) | (~node4(s385)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s385) | (~node4(s385)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48148,plain,
% 9.84/7.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s385) | (~node4(s385)))),
% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48149,plain,
% 9.84/7.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s385) | (~node4(s385))),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48148, 48147])).
% 9.84/7.31 tff(48150,plain,
% 9.84/7.31 (~node4(s385)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48149, 22, 45161])).
% 9.84/7.31 tff(48151,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s385) | node4(s385) | (~until5(s385)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s385) | node4(s385) | (~until5(s385)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48152,plain,
% 9.84/7.31 ((node4(s385) | (~until5(s385)) | xuntil6(s385)) <=> (xuntil6(s385) | node4(s385) | (~until5(s385)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48153,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s385) | (~until5(s385)) | xuntil6(s385))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s385) | node4(s385) | (~until5(s385))))),
% 9.84/7.31 inference(monotonicity,[status(thm)],[48152])).
% 9.84/7.31 tff(48154,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s385) | (~until5(s385)) | xuntil6(s385))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s385) | node4(s385) | (~until5(s385)))),
% 9.84/7.31 inference(transitivity,[status(thm)],[48153, 48151])).
% 9.84/7.31 tff(48155,plain,
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% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48156,plain,
% 9.84/7.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s385) | node4(s385) | (~until5(s385))),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48155, 48154])).
% 9.84/7.31 tff(48157,plain,
% 9.84/7.31 (xuntil6(s385) | (~until5(s385))),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48156, 36, 48150])).
% 9.84/7.31 tff(48158,plain,
% 9.84/7.31 (xuntil6(s385)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48157, 48146])).
% 9.84/7.31 tff(48159,plain,
% 9.84/7.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s385, s386)) | (~xuntil6(s385)) | until5(s386))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s385, s386)) | (~xuntil6(s385)) | until5(s386))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48160,plain,
% 9.84/7.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s385, s386)) | (~xuntil6(s385)) | until5(s386))),
% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48161,plain,
% 9.84/7.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s385, s386)) | (~xuntil6(s385)) | until5(s386)),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48160, 48159])).
% 9.84/7.31 tff(48162,plain,
% 9.84/7.31 ((~xuntil6(s385)) | until5(s386)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48161, 45152, 141])).
% 9.84/7.31 tff(48163,plain,
% 9.84/7.31 (until5(s386)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48162, 48158])).
% 9.84/7.31 tff(48164,plain,
% 9.84/7.31 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s386) | (~node4(s386)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s386) | (~node4(s386)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48165,plain,
% 9.84/7.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s386) | (~node4(s386)))),
% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48166,plain,
% 9.84/7.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s386) | (~node4(s386))),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48165, 48164])).
% 9.84/7.31 tff(48167,plain,
% 9.84/7.31 (~node4(s386)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48166, 22, 45149])).
% 9.84/7.31 tff(48168,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s386) | node4(s386) | (~until5(s386)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s386) | node4(s386) | (~until5(s386)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48169,plain,
% 9.84/7.31 ((node4(s386) | (~until5(s386)) | xuntil6(s386)) <=> (xuntil6(s386) | node4(s386) | (~until5(s386)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48170,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s386) | (~until5(s386)) | xuntil6(s386))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s386) | node4(s386) | (~until5(s386))))),
% 9.84/7.31 inference(monotonicity,[status(thm)],[48169])).
% 9.84/7.31 tff(48171,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s386) | (~until5(s386)) | xuntil6(s386))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s386) | node4(s386) | (~until5(s386)))),
% 9.84/7.31 inference(transitivity,[status(thm)],[48170, 48168])).
% 9.84/7.31 tff(48172,plain,
% 9.84/7.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s386) | (~until5(s386)) | xuntil6(s386))),
% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48173,plain,
% 9.84/7.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s386) | node4(s386) | (~until5(s386))),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48172, 48171])).
% 9.84/7.31 tff(48174,plain,
% 9.84/7.31 (xuntil6(s386) | (~until5(s386))),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48173, 36, 48167])).
% 9.84/7.31 tff(48175,plain,
% 9.84/7.31 (xuntil6(s386)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48174, 48163])).
% 9.84/7.31 tff(48176,plain,
% 9.84/7.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s386, s387)) | (~xuntil6(s386)) | until5(s387))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s386, s387)) | (~xuntil6(s386)) | until5(s387))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48177,plain,
% 9.84/7.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s386, s387)) | (~xuntil6(s386)) | until5(s387))),
% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48178,plain,
% 9.84/7.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s386, s387)) | (~xuntil6(s386)) | until5(s387)),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48177, 48176])).
% 9.84/7.31 tff(48179,plain,
% 9.84/7.31 ((~xuntil6(s386)) | until5(s387)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48178, 45140, 141])).
% 9.84/7.31 tff(48180,plain,
% 9.84/7.31 (until5(s387)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48179, 48175])).
% 9.84/7.31 tff(48181,plain,
% 9.84/7.31 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s387) | (~node4(s387)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s387) | (~node4(s387)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48182,plain,
% 9.84/7.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s387) | (~node4(s387)))),
% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48183,plain,
% 9.84/7.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s387) | (~node4(s387))),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48182, 48181])).
% 9.84/7.31 tff(48184,plain,
% 9.84/7.31 (~node4(s387)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48183, 22, 45137])).
% 9.84/7.31 tff(48185,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s387) | node4(s387) | (~until5(s387)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s387) | node4(s387) | (~until5(s387)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48186,plain,
% 9.84/7.31 ((node4(s387) | (~until5(s387)) | xuntil6(s387)) <=> (xuntil6(s387) | node4(s387) | (~until5(s387)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48187,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s387) | (~until5(s387)) | xuntil6(s387))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s387) | node4(s387) | (~until5(s387))))),
% 9.84/7.31 inference(monotonicity,[status(thm)],[48186])).
% 9.84/7.31 tff(48188,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s387) | (~until5(s387)) | xuntil6(s387))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s387) | node4(s387) | (~until5(s387)))),
% 9.84/7.31 inference(transitivity,[status(thm)],[48187, 48185])).
% 9.84/7.31 tff(48189,plain,
% 9.84/7.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s387) | (~until5(s387)) | xuntil6(s387))),
% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48190,plain,
% 9.84/7.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s387) | node4(s387) | (~until5(s387))),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48189, 48188])).
% 9.84/7.31 tff(48191,plain,
% 9.84/7.31 (xuntil6(s387) | (~until5(s387))),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48190, 36, 48184])).
% 9.84/7.31 tff(48192,plain,
% 9.84/7.31 (xuntil6(s387)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48191, 48180])).
% 9.84/7.31 tff(48193,plain,
% 9.84/7.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s387, s388)) | (~xuntil6(s387)) | until5(s388))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s387, s388)) | (~xuntil6(s387)) | until5(s388))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48194,plain,
% 9.84/7.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s387, s388)) | (~xuntil6(s387)) | until5(s388))),
% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48195,plain,
% 9.84/7.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s387, s388)) | (~xuntil6(s387)) | until5(s388)),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48194, 48193])).
% 9.84/7.31 tff(48196,plain,
% 9.84/7.31 ((~xuntil6(s387)) | until5(s388)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48195, 45128, 141])).
% 9.84/7.31 tff(48197,plain,
% 9.84/7.31 (until5(s388)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48196, 48192])).
% 9.84/7.31 tff(48198,plain,
% 9.84/7.31 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s388) | (~node4(s388)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s388) | (~node4(s388)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48199,plain,
% 9.84/7.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s388) | (~node4(s388)))),
% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48200,plain,
% 9.84/7.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s388) | (~node4(s388))),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48199, 48198])).
% 9.84/7.31 tff(48201,plain,
% 9.84/7.31 (~node4(s388)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48200, 22, 45125])).
% 9.84/7.31 tff(48202,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s388) | node4(s388) | (~until5(s388)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s388) | node4(s388) | (~until5(s388)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48203,plain,
% 9.84/7.31 ((node4(s388) | (~until5(s388)) | xuntil6(s388)) <=> (xuntil6(s388) | node4(s388) | (~until5(s388)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48204,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s388) | (~until5(s388)) | xuntil6(s388))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s388) | node4(s388) | (~until5(s388))))),
% 9.84/7.31 inference(monotonicity,[status(thm)],[48203])).
% 9.84/7.31 tff(48205,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s388) | (~until5(s388)) | xuntil6(s388))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s388) | node4(s388) | (~until5(s388)))),
% 9.84/7.31 inference(transitivity,[status(thm)],[48204, 48202])).
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% 9.84/7.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s388) | (~until5(s388)) | xuntil6(s388))),
% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48207,plain,
% 9.84/7.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s388) | node4(s388) | (~until5(s388))),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48206, 48205])).
% 9.84/7.31 tff(48208,plain,
% 9.84/7.31 (xuntil6(s388) | (~until5(s388))),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48207, 36, 48201])).
% 9.84/7.31 tff(48209,plain,
% 9.84/7.31 (xuntil6(s388)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48208, 48197])).
% 9.84/7.31 tff(48210,plain,
% 9.84/7.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s388, s389)) | (~xuntil6(s388)) | until5(s389))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s388, s389)) | (~xuntil6(s388)) | until5(s389))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48211,plain,
% 9.84/7.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s388, s389)) | (~xuntil6(s388)) | until5(s389))),
% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48212,plain,
% 9.84/7.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s388, s389)) | (~xuntil6(s388)) | until5(s389)),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48211, 48210])).
% 9.84/7.31 tff(48213,plain,
% 9.84/7.31 ((~xuntil6(s388)) | until5(s389)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48212, 45116, 141])).
% 9.84/7.31 tff(48214,plain,
% 9.84/7.31 (until5(s389)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48213, 48209])).
% 9.84/7.31 tff(48215,plain,
% 9.84/7.31 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s389) | (~node4(s389)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s389) | (~node4(s389)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48216,plain,
% 9.84/7.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s389) | (~node4(s389)))),
% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48217,plain,
% 9.84/7.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s389) | (~node4(s389))),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48216, 48215])).
% 9.84/7.31 tff(48218,plain,
% 9.84/7.31 (~node4(s389)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48217, 22, 45113])).
% 9.84/7.31 tff(48219,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s389) | node4(s389) | (~until5(s389)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s389) | node4(s389) | (~until5(s389)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48220,plain,
% 9.84/7.31 ((node4(s389) | (~until5(s389)) | xuntil6(s389)) <=> (xuntil6(s389) | node4(s389) | (~until5(s389)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48221,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s389) | (~until5(s389)) | xuntil6(s389))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s389) | node4(s389) | (~until5(s389))))),
% 9.84/7.31 inference(monotonicity,[status(thm)],[48220])).
% 9.84/7.31 tff(48222,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s389) | (~until5(s389)) | xuntil6(s389))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s389) | node4(s389) | (~until5(s389)))),
% 9.84/7.31 inference(transitivity,[status(thm)],[48221, 48219])).
% 9.84/7.31 tff(48223,plain,
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% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48224,plain,
% 9.84/7.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s389) | node4(s389) | (~until5(s389))),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48223, 48222])).
% 9.84/7.31 tff(48225,plain,
% 9.84/7.31 (xuntil6(s389) | (~until5(s389))),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48224, 36, 48218])).
% 9.84/7.31 tff(48226,plain,
% 9.84/7.31 (xuntil6(s389)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48225, 48214])).
% 9.84/7.31 tff(48227,plain,
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% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48228,plain,
% 9.84/7.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s389, s390)) | (~xuntil6(s389)) | until5(s390))),
% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48229,plain,
% 9.84/7.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s389, s390)) | (~xuntil6(s389)) | until5(s390)),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48228, 48227])).
% 9.84/7.31 tff(48230,plain,
% 9.84/7.31 ((~xuntil6(s389)) | until5(s390)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48229, 45104, 141])).
% 9.84/7.31 tff(48231,plain,
% 9.84/7.31 (until5(s390)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48230, 48226])).
% 9.84/7.31 tff(48232,plain,
% 9.84/7.31 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s390) | (~node4(s390)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s390) | (~node4(s390)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48233,plain,
% 9.84/7.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s390) | (~node4(s390)))),
% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48234,plain,
% 9.84/7.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s390) | (~node4(s390))),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48233, 48232])).
% 9.84/7.31 tff(48235,plain,
% 9.84/7.31 (~node4(s390)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48234, 22, 45101])).
% 9.84/7.31 tff(48236,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s390) | node4(s390) | (~until5(s390)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s390) | node4(s390) | (~until5(s390)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48237,plain,
% 9.84/7.31 ((node4(s390) | (~until5(s390)) | xuntil6(s390)) <=> (xuntil6(s390) | node4(s390) | (~until5(s390)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48238,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s390) | (~until5(s390)) | xuntil6(s390))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s390) | node4(s390) | (~until5(s390))))),
% 9.84/7.31 inference(monotonicity,[status(thm)],[48237])).
% 9.84/7.31 tff(48239,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s390) | (~until5(s390)) | xuntil6(s390))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s390) | node4(s390) | (~until5(s390)))),
% 9.84/7.31 inference(transitivity,[status(thm)],[48238, 48236])).
% 9.84/7.31 tff(48240,plain,
% 9.84/7.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s390) | (~until5(s390)) | xuntil6(s390))),
% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48241,plain,
% 9.84/7.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s390) | node4(s390) | (~until5(s390))),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48240, 48239])).
% 9.84/7.31 tff(48242,plain,
% 9.84/7.31 (xuntil6(s390) | (~until5(s390))),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48241, 36, 48235])).
% 9.84/7.31 tff(48243,plain,
% 9.84/7.31 (xuntil6(s390)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48242, 48231])).
% 9.84/7.31 tff(48244,plain,
% 9.84/7.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s390, s391)) | (~xuntil6(s390)) | until5(s391))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s390, s391)) | (~xuntil6(s390)) | until5(s391))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48245,plain,
% 9.84/7.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s390, s391)) | (~xuntil6(s390)) | until5(s391))),
% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48246,plain,
% 9.84/7.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s390, s391)) | (~xuntil6(s390)) | until5(s391)),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48245, 48244])).
% 9.84/7.31 tff(48247,plain,
% 9.84/7.31 ((~xuntil6(s390)) | until5(s391)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48246, 45092, 141])).
% 9.84/7.31 tff(48248,plain,
% 9.84/7.31 (until5(s391)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48247, 48243])).
% 9.84/7.31 tff(48249,plain,
% 9.84/7.31 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s391) | (~node4(s391)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s391) | (~node4(s391)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48250,plain,
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% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48251,plain,
% 9.84/7.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s391) | (~node4(s391))),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48250, 48249])).
% 9.84/7.31 tff(48252,plain,
% 9.84/7.31 (~node4(s391)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48251, 22, 45089])).
% 9.84/7.31 tff(48253,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s391) | node4(s391) | (~until5(s391)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s391) | node4(s391) | (~until5(s391)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48254,plain,
% 9.84/7.31 ((node4(s391) | (~until5(s391)) | xuntil6(s391)) <=> (xuntil6(s391) | node4(s391) | (~until5(s391)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48255,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s391) | (~until5(s391)) | xuntil6(s391))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s391) | node4(s391) | (~until5(s391))))),
% 9.84/7.31 inference(monotonicity,[status(thm)],[48254])).
% 9.84/7.31 tff(48256,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s391) | (~until5(s391)) | xuntil6(s391))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s391) | node4(s391) | (~until5(s391)))),
% 9.84/7.31 inference(transitivity,[status(thm)],[48255, 48253])).
% 9.84/7.31 tff(48257,plain,
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% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48258,plain,
% 9.84/7.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s391) | node4(s391) | (~until5(s391))),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48257, 48256])).
% 9.84/7.31 tff(48259,plain,
% 9.84/7.31 (xuntil6(s391) | (~until5(s391))),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48258, 36, 48252])).
% 9.84/7.31 tff(48260,plain,
% 9.84/7.31 (xuntil6(s391)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48259, 48248])).
% 9.84/7.31 tff(48261,plain,
% 9.84/7.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s391, s392)) | (~xuntil6(s391)) | until5(s392))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s391, s392)) | (~xuntil6(s391)) | until5(s392))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48262,plain,
% 9.84/7.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s391, s392)) | (~xuntil6(s391)) | until5(s392))),
% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48263,plain,
% 9.84/7.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s391, s392)) | (~xuntil6(s391)) | until5(s392)),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48262, 48261])).
% 9.84/7.31 tff(48264,plain,
% 9.84/7.31 ((~xuntil6(s391)) | until5(s392)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48263, 45080, 141])).
% 9.84/7.31 tff(48265,plain,
% 9.84/7.31 (until5(s392)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48264, 48260])).
% 9.84/7.31 tff(48266,plain,
% 9.84/7.31 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s392) | (~node4(s392)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s392) | (~node4(s392)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48267,plain,
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% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48268,plain,
% 9.84/7.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s392) | (~node4(s392))),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48267, 48266])).
% 9.84/7.31 tff(48269,plain,
% 9.84/7.31 (~node4(s392)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48268, 22, 45077])).
% 9.84/7.31 tff(48270,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s392) | node4(s392) | (~until5(s392)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s392) | node4(s392) | (~until5(s392)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48271,plain,
% 9.84/7.31 ((node4(s392) | (~until5(s392)) | xuntil6(s392)) <=> (xuntil6(s392) | node4(s392) | (~until5(s392)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48272,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s392) | (~until5(s392)) | xuntil6(s392))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s392) | node4(s392) | (~until5(s392))))),
% 9.84/7.31 inference(monotonicity,[status(thm)],[48271])).
% 9.84/7.31 tff(48273,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s392) | (~until5(s392)) | xuntil6(s392))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s392) | node4(s392) | (~until5(s392)))),
% 9.84/7.31 inference(transitivity,[status(thm)],[48272, 48270])).
% 9.84/7.31 tff(48274,plain,
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% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48275,plain,
% 9.84/7.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s392) | node4(s392) | (~until5(s392))),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48274, 48273])).
% 9.84/7.31 tff(48276,plain,
% 9.84/7.31 (xuntil6(s392) | (~until5(s392))),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48275, 36, 48269])).
% 9.84/7.31 tff(48277,plain,
% 9.84/7.31 (xuntil6(s392)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48276, 48265])).
% 9.84/7.31 tff(48278,plain,
% 9.84/7.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s392, s393)) | (~xuntil6(s392)) | until5(s393))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s392, s393)) | (~xuntil6(s392)) | until5(s393))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48279,plain,
% 9.84/7.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s392, s393)) | (~xuntil6(s392)) | until5(s393))),
% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48280,plain,
% 9.84/7.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s392, s393)) | (~xuntil6(s392)) | until5(s393)),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48279, 48278])).
% 9.84/7.31 tff(48281,plain,
% 9.84/7.31 ((~xuntil6(s392)) | until5(s393)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48280, 45068, 141])).
% 9.84/7.31 tff(48282,plain,
% 9.84/7.31 (until5(s393)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48281, 48277])).
% 9.84/7.31 tff(48283,plain,
% 9.84/7.31 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s393) | (~node4(s393)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s393) | (~node4(s393)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48284,plain,
% 9.84/7.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s393) | (~node4(s393)))),
% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48285,plain,
% 9.84/7.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s393) | (~node4(s393))),
% 9.84/7.31 inference(modus_ponens,[status(thm)],[48284, 48283])).
% 9.84/7.31 tff(48286,plain,
% 9.84/7.31 (~node4(s393)),
% 9.84/7.31 inference(unit_resolution,[status(thm)],[48285, 22, 45065])).
% 9.84/7.31 tff(48287,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s393) | node4(s393) | (~until5(s393)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s393) | node4(s393) | (~until5(s393)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48288,plain,
% 9.84/7.31 ((node4(s393) | (~until5(s393)) | xuntil6(s393)) <=> (xuntil6(s393) | node4(s393) | (~until5(s393)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48289,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s393) | (~until5(s393)) | xuntil6(s393))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s393) | node4(s393) | (~until5(s393))))),
% 9.84/7.31 inference(monotonicity,[status(thm)],[48288])).
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% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s393) | (~until5(s393)) | xuntil6(s393))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s393) | node4(s393) | (~until5(s393)))),
% 9.84/7.31 inference(transitivity,[status(thm)],[48289, 48287])).
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% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48292,plain,
% 9.84/7.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s393) | node4(s393) | (~until5(s393))),
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% 9.84/7.31 inference(unit_resolution,[status(thm)],[48292, 36, 48286])).
% 9.84/7.31 tff(48294,plain,
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% 9.84/7.31 inference(unit_resolution,[status(thm)],[48293, 48282])).
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% 9.84/7.31 inference(rewrite,[status(thm)],[])).
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% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48297,plain,
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% 9.84/7.31 inference(modus_ponens,[status(thm)],[48296, 48295])).
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% 9.84/7.31 inference(unit_resolution,[status(thm)],[48297, 45056, 141])).
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% 9.84/7.31 inference(rewrite,[status(thm)],[])).
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% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
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% 9.84/7.31 inference(modus_ponens,[status(thm)],[48301, 48300])).
% 9.84/7.31 tff(48303,plain,
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% 9.84/7.31 inference(unit_resolution,[status(thm)],[48302, 22, 45053])).
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% 9.84/7.31 inference(rewrite,[status(thm)],[])).
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% 9.84/7.31 ((node4(s394) | (~until5(s394)) | xuntil6(s394)) <=> (xuntil6(s394) | node4(s394) | (~until5(s394)))),
% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48306,plain,
% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s394) | (~until5(s394)) | xuntil6(s394))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s394) | node4(s394) | (~until5(s394))))),
% 9.84/7.31 inference(monotonicity,[status(thm)],[48305])).
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% 9.84/7.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s394) | (~until5(s394)) | xuntil6(s394))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s394) | node4(s394) | (~until5(s394)))),
% 9.84/7.31 inference(transitivity,[status(thm)],[48306, 48304])).
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% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
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% 9.84/7.31 inference(modus_ponens,[status(thm)],[48308, 48307])).
% 9.84/7.31 tff(48310,plain,
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% 9.84/7.31 inference(unit_resolution,[status(thm)],[48309, 36, 48303])).
% 9.84/7.31 tff(48311,plain,
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% 9.84/7.31 inference(unit_resolution,[status(thm)],[48310, 48299])).
% 9.84/7.31 tff(48312,plain,
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% 9.84/7.31 inference(rewrite,[status(thm)],[])).
% 9.84/7.31 tff(48313,plain,
% 9.84/7.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s394, s395)) | (~xuntil6(s394)) | until5(s395))),
% 9.84/7.31 inference(quant_inst,[status(thm)],[])).
% 9.84/7.31 tff(48314,plain,
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% 9.84/7.32 inference(modus_ponens,[status(thm)],[48313, 48312])).
% 9.84/7.32 tff(48315,plain,
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% 9.84/7.32 inference(unit_resolution,[status(thm)],[48314, 45044, 141])).
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% 9.84/7.32 inference(unit_resolution,[status(thm)],[48315, 48311])).
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% 9.84/7.32 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s395) | (~node4(s395)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s395) | (~node4(s395)))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
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% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
% 9.84/7.32 tff(48319,plain,
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% 9.84/7.32 inference(modus_ponens,[status(thm)],[48318, 48317])).
% 9.84/7.32 tff(48320,plain,
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% 9.84/7.32 inference(unit_resolution,[status(thm)],[48319, 22, 45041])).
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% 9.84/7.32 inference(rewrite,[status(thm)],[])).
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% 9.84/7.32 inference(rewrite,[status(thm)],[])).
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% 9.84/7.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s395) | (~until5(s395)) | xuntil6(s395))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s395) | node4(s395) | (~until5(s395))))),
% 9.84/7.32 inference(monotonicity,[status(thm)],[48322])).
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% 9.84/7.32 inference(transitivity,[status(thm)],[48323, 48321])).
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% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
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% 9.84/7.32 inference(modus_ponens,[status(thm)],[48325, 48324])).
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% 9.84/7.32 inference(unit_resolution,[status(thm)],[48326, 36, 48320])).
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% 9.84/7.32 inference(unit_resolution,[status(thm)],[48327, 48316])).
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% 9.84/7.32 inference(rewrite,[status(thm)],[])).
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% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
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% 9.84/7.32 inference(modus_ponens,[status(thm)],[48330, 48329])).
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% 9.84/7.32 inference(unit_resolution,[status(thm)],[48331, 45032, 141])).
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% 9.84/7.32 inference(unit_resolution,[status(thm)],[48332, 48328])).
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% 9.84/7.32 inference(rewrite,[status(thm)],[])).
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% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
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% 9.84/7.32 inference(modus_ponens,[status(thm)],[48335, 48334])).
% 9.84/7.32 tff(48337,plain,
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% 9.84/7.32 inference(unit_resolution,[status(thm)],[48336, 22, 45029])).
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% 9.84/7.32 inference(rewrite,[status(thm)],[])).
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% 9.84/7.32 inference(rewrite,[status(thm)],[])).
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% 9.84/7.32 inference(monotonicity,[status(thm)],[48339])).
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% 9.84/7.32 inference(transitivity,[status(thm)],[48340, 48338])).
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% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
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% 9.84/7.32 inference(rewrite,[status(thm)],[])).
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% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
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% 9.84/7.32 inference(rewrite,[status(thm)],[])).
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% 9.84/7.32 inference(rewrite,[status(thm)],[])).
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% 9.84/7.32 inference(monotonicity,[status(thm)],[48373])).
% 9.84/7.32 tff(48375,plain,
% 9.84/7.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s398) | (~until5(s398)) | xuntil6(s398))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s398) | node4(s398) | (~until5(s398)))),
% 9.84/7.32 inference(transitivity,[status(thm)],[48374, 48372])).
% 9.84/7.32 tff(48376,plain,
% 9.84/7.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s398) | (~until5(s398)) | xuntil6(s398))),
% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
% 9.84/7.32 tff(48377,plain,
% 9.84/7.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s398) | node4(s398) | (~until5(s398))),
% 9.84/7.32 inference(modus_ponens,[status(thm)],[48376, 48375])).
% 9.84/7.32 tff(48378,plain,
% 9.84/7.32 (xuntil6(s398) | (~until5(s398))),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48377, 36, 48371])).
% 9.84/7.32 tff(48379,plain,
% 9.84/7.32 (xuntil6(s398)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48378, 48367])).
% 9.84/7.32 tff(48380,plain,
% 9.84/7.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s398, s399)) | (~xuntil6(s398)) | until5(s399))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s398, s399)) | (~xuntil6(s398)) | until5(s399))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48381,plain,
% 9.84/7.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s398, s399)) | (~xuntil6(s398)) | until5(s399))),
% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
% 9.84/7.32 tff(48382,plain,
% 9.84/7.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s398, s399)) | (~xuntil6(s398)) | until5(s399)),
% 9.84/7.32 inference(modus_ponens,[status(thm)],[48381, 48380])).
% 9.84/7.32 tff(48383,plain,
% 9.84/7.32 ((~xuntil6(s398)) | until5(s399)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48382, 44996, 141])).
% 9.84/7.32 tff(48384,plain,
% 9.84/7.32 (until5(s399)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48383, 48379])).
% 9.84/7.32 tff(48385,plain,
% 9.84/7.32 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s399) | (~node4(s399)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s399) | (~node4(s399)))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48386,plain,
% 9.84/7.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s399) | (~node4(s399)))),
% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
% 9.84/7.32 tff(48387,plain,
% 9.84/7.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s399) | (~node4(s399))),
% 9.84/7.32 inference(modus_ponens,[status(thm)],[48386, 48385])).
% 9.84/7.32 tff(48388,plain,
% 9.84/7.32 (~node4(s399)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48387, 22, 44993])).
% 9.84/7.32 tff(48389,plain,
% 9.84/7.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s399) | node4(s399) | (~until5(s399)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s399) | node4(s399) | (~until5(s399)))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48390,plain,
% 9.84/7.32 ((node4(s399) | (~until5(s399)) | xuntil6(s399)) <=> (xuntil6(s399) | node4(s399) | (~until5(s399)))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48391,plain,
% 9.84/7.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s399) | (~until5(s399)) | xuntil6(s399))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s399) | node4(s399) | (~until5(s399))))),
% 9.84/7.32 inference(monotonicity,[status(thm)],[48390])).
% 9.84/7.32 tff(48392,plain,
% 9.84/7.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s399) | (~until5(s399)) | xuntil6(s399))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s399) | node4(s399) | (~until5(s399)))),
% 9.84/7.32 inference(transitivity,[status(thm)],[48391, 48389])).
% 9.84/7.32 tff(48393,plain,
% 9.84/7.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s399) | (~until5(s399)) | xuntil6(s399))),
% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
% 9.84/7.32 tff(48394,plain,
% 9.84/7.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s399) | node4(s399) | (~until5(s399))),
% 9.84/7.32 inference(modus_ponens,[status(thm)],[48393, 48392])).
% 9.84/7.32 tff(48395,plain,
% 9.84/7.32 (xuntil6(s399) | (~until5(s399))),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48394, 36, 48388])).
% 9.84/7.32 tff(48396,plain,
% 9.84/7.32 (xuntil6(s399)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48395, 48384])).
% 9.84/7.32 tff(48397,plain,
% 9.84/7.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s399, s400)) | (~xuntil6(s399)) | until5(s400))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s399, s400)) | (~xuntil6(s399)) | until5(s400))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48398,plain,
% 9.84/7.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s399, s400)) | (~xuntil6(s399)) | until5(s400))),
% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
% 9.84/7.32 tff(48399,plain,
% 9.84/7.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s399, s400)) | (~xuntil6(s399)) | until5(s400)),
% 9.84/7.32 inference(modus_ponens,[status(thm)],[48398, 48397])).
% 9.84/7.32 tff(48400,plain,
% 9.84/7.32 ((~xuntil6(s399)) | until5(s400)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48399, 44984, 141])).
% 9.84/7.32 tff(48401,plain,
% 9.84/7.32 (until5(s400)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48400, 48396])).
% 9.84/7.32 tff(48402,plain,
% 9.84/7.32 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s400) | (~node4(s400)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s400) | (~node4(s400)))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48403,plain,
% 9.84/7.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s400) | (~node4(s400)))),
% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
% 9.84/7.32 tff(48404,plain,
% 9.84/7.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s400) | (~node4(s400))),
% 9.84/7.32 inference(modus_ponens,[status(thm)],[48403, 48402])).
% 9.84/7.32 tff(48405,plain,
% 9.84/7.32 (~node4(s400)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48404, 22, 44981])).
% 9.84/7.32 tff(48406,plain,
% 9.84/7.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s400) | node4(s400) | (~until5(s400)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s400) | node4(s400) | (~until5(s400)))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48407,plain,
% 9.84/7.32 ((node4(s400) | (~until5(s400)) | xuntil6(s400)) <=> (xuntil6(s400) | node4(s400) | (~until5(s400)))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48408,plain,
% 9.84/7.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s400) | (~until5(s400)) | xuntil6(s400))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s400) | node4(s400) | (~until5(s400))))),
% 9.84/7.32 inference(monotonicity,[status(thm)],[48407])).
% 9.84/7.32 tff(48409,plain,
% 9.84/7.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s400) | (~until5(s400)) | xuntil6(s400))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s400) | node4(s400) | (~until5(s400)))),
% 9.84/7.32 inference(transitivity,[status(thm)],[48408, 48406])).
% 9.84/7.32 tff(48410,plain,
% 9.84/7.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s400) | (~until5(s400)) | xuntil6(s400))),
% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
% 9.84/7.32 tff(48411,plain,
% 9.84/7.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s400) | node4(s400) | (~until5(s400))),
% 9.84/7.32 inference(modus_ponens,[status(thm)],[48410, 48409])).
% 9.84/7.32 tff(48412,plain,
% 9.84/7.32 (xuntil6(s400) | (~until5(s400))),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48411, 36, 48405])).
% 9.84/7.32 tff(48413,plain,
% 9.84/7.32 (xuntil6(s400)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48412, 48401])).
% 9.84/7.32 tff(48414,plain,
% 9.84/7.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s400, s401)) | (~xuntil6(s400)) | until5(s401))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s400, s401)) | (~xuntil6(s400)) | until5(s401))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48415,plain,
% 9.84/7.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s400, s401)) | (~xuntil6(s400)) | until5(s401))),
% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
% 9.84/7.32 tff(48416,plain,
% 9.84/7.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s400, s401)) | (~xuntil6(s400)) | until5(s401)),
% 9.84/7.32 inference(modus_ponens,[status(thm)],[48415, 48414])).
% 9.84/7.32 tff(48417,plain,
% 9.84/7.32 ((~xuntil6(s400)) | until5(s401)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48416, 44972, 141])).
% 9.84/7.32 tff(48418,plain,
% 9.84/7.32 (until5(s401)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48417, 48413])).
% 9.84/7.32 tff(48419,plain,
% 9.84/7.32 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s401) | (~node4(s401)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s401) | (~node4(s401)))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48420,plain,
% 9.84/7.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s401) | (~node4(s401)))),
% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
% 9.84/7.32 tff(48421,plain,
% 9.84/7.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s401) | (~node4(s401))),
% 9.84/7.32 inference(modus_ponens,[status(thm)],[48420, 48419])).
% 9.84/7.32 tff(48422,plain,
% 9.84/7.32 (~node4(s401)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48421, 22, 44969])).
% 9.84/7.32 tff(48423,plain,
% 9.84/7.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s401) | node4(s401) | (~until5(s401)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s401) | node4(s401) | (~until5(s401)))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48424,plain,
% 9.84/7.32 ((node4(s401) | (~until5(s401)) | xuntil6(s401)) <=> (xuntil6(s401) | node4(s401) | (~until5(s401)))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48425,plain,
% 9.84/7.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s401) | (~until5(s401)) | xuntil6(s401))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s401) | node4(s401) | (~until5(s401))))),
% 9.84/7.32 inference(monotonicity,[status(thm)],[48424])).
% 9.84/7.32 tff(48426,plain,
% 9.84/7.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s401) | (~until5(s401)) | xuntil6(s401))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s401) | node4(s401) | (~until5(s401)))),
% 9.84/7.32 inference(transitivity,[status(thm)],[48425, 48423])).
% 9.84/7.32 tff(48427,plain,
% 9.84/7.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s401) | (~until5(s401)) | xuntil6(s401))),
% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
% 9.84/7.32 tff(48428,plain,
% 9.84/7.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s401) | node4(s401) | (~until5(s401))),
% 9.84/7.32 inference(modus_ponens,[status(thm)],[48427, 48426])).
% 9.84/7.32 tff(48429,plain,
% 9.84/7.32 (xuntil6(s401) | (~until5(s401))),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48428, 36, 48422])).
% 9.84/7.32 tff(48430,plain,
% 9.84/7.32 (xuntil6(s401)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48429, 48418])).
% 9.84/7.32 tff(48431,plain,
% 9.84/7.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s401, s402)) | (~xuntil6(s401)) | until5(s402))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s401, s402)) | (~xuntil6(s401)) | until5(s402))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48432,plain,
% 9.84/7.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s401, s402)) | (~xuntil6(s401)) | until5(s402))),
% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
% 9.84/7.32 tff(48433,plain,
% 9.84/7.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s401, s402)) | (~xuntil6(s401)) | until5(s402)),
% 9.84/7.32 inference(modus_ponens,[status(thm)],[48432, 48431])).
% 9.84/7.32 tff(48434,plain,
% 9.84/7.32 ((~xuntil6(s401)) | until5(s402)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48433, 44960, 141])).
% 9.84/7.32 tff(48435,plain,
% 9.84/7.32 (until5(s402)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48434, 48430])).
% 9.84/7.32 tff(48436,plain,
% 9.84/7.32 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s402) | (~node4(s402)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s402) | (~node4(s402)))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48437,plain,
% 9.84/7.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s402) | (~node4(s402)))),
% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
% 9.84/7.32 tff(48438,plain,
% 9.84/7.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s402) | (~node4(s402))),
% 9.84/7.32 inference(modus_ponens,[status(thm)],[48437, 48436])).
% 9.84/7.32 tff(48439,plain,
% 9.84/7.32 (~node4(s402)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48438, 22, 44957])).
% 9.84/7.32 tff(48440,plain,
% 9.84/7.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s402) | node4(s402) | (~until5(s402)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s402) | node4(s402) | (~until5(s402)))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48441,plain,
% 9.84/7.32 ((node4(s402) | (~until5(s402)) | xuntil6(s402)) <=> (xuntil6(s402) | node4(s402) | (~until5(s402)))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48442,plain,
% 9.84/7.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s402) | (~until5(s402)) | xuntil6(s402))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s402) | node4(s402) | (~until5(s402))))),
% 9.84/7.32 inference(monotonicity,[status(thm)],[48441])).
% 9.84/7.32 tff(48443,plain,
% 9.84/7.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s402) | (~until5(s402)) | xuntil6(s402))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s402) | node4(s402) | (~until5(s402)))),
% 9.84/7.32 inference(transitivity,[status(thm)],[48442, 48440])).
% 9.84/7.32 tff(48444,plain,
% 9.84/7.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s402) | (~until5(s402)) | xuntil6(s402))),
% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
% 9.84/7.32 tff(48445,plain,
% 9.84/7.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s402) | node4(s402) | (~until5(s402))),
% 9.84/7.32 inference(modus_ponens,[status(thm)],[48444, 48443])).
% 9.84/7.32 tff(48446,plain,
% 9.84/7.32 (xuntil6(s402) | (~until5(s402))),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48445, 36, 48439])).
% 9.84/7.32 tff(48447,plain,
% 9.84/7.32 (xuntil6(s402)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48446, 48435])).
% 9.84/7.32 tff(48448,plain,
% 9.84/7.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s402, s403)) | (~xuntil6(s402)) | until5(s403))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s402, s403)) | (~xuntil6(s402)) | until5(s403))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48449,plain,
% 9.84/7.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s402, s403)) | (~xuntil6(s402)) | until5(s403))),
% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
% 9.84/7.32 tff(48450,plain,
% 9.84/7.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s402, s403)) | (~xuntil6(s402)) | until5(s403)),
% 9.84/7.32 inference(modus_ponens,[status(thm)],[48449, 48448])).
% 9.84/7.32 tff(48451,plain,
% 9.84/7.32 ((~xuntil6(s402)) | until5(s403)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48450, 44948, 141])).
% 9.84/7.32 tff(48452,plain,
% 9.84/7.32 (until5(s403)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48451, 48447])).
% 9.84/7.32 tff(48453,plain,
% 9.84/7.32 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s403) | (~node4(s403)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s403) | (~node4(s403)))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48454,plain,
% 9.84/7.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s403) | (~node4(s403)))),
% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
% 9.84/7.32 tff(48455,plain,
% 9.84/7.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s403) | (~node4(s403))),
% 9.84/7.32 inference(modus_ponens,[status(thm)],[48454, 48453])).
% 9.84/7.32 tff(48456,plain,
% 9.84/7.32 (~node4(s403)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48455, 22, 44945])).
% 9.84/7.32 tff(48457,plain,
% 9.84/7.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s403) | node4(s403) | (~until5(s403)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s403) | node4(s403) | (~until5(s403)))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48458,plain,
% 9.84/7.32 ((node4(s403) | (~until5(s403)) | xuntil6(s403)) <=> (xuntil6(s403) | node4(s403) | (~until5(s403)))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48459,plain,
% 9.84/7.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s403) | (~until5(s403)) | xuntil6(s403))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s403) | node4(s403) | (~until5(s403))))),
% 9.84/7.32 inference(monotonicity,[status(thm)],[48458])).
% 9.84/7.32 tff(48460,plain,
% 9.84/7.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s403) | (~until5(s403)) | xuntil6(s403))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s403) | node4(s403) | (~until5(s403)))),
% 9.84/7.32 inference(transitivity,[status(thm)],[48459, 48457])).
% 9.84/7.32 tff(48461,plain,
% 9.84/7.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s403) | (~until5(s403)) | xuntil6(s403))),
% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
% 9.84/7.32 tff(48462,plain,
% 9.84/7.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s403) | node4(s403) | (~until5(s403))),
% 9.84/7.32 inference(modus_ponens,[status(thm)],[48461, 48460])).
% 9.84/7.32 tff(48463,plain,
% 9.84/7.32 (xuntil6(s403) | (~until5(s403))),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48462, 36, 48456])).
% 9.84/7.32 tff(48464,plain,
% 9.84/7.32 (xuntil6(s403)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48463, 48452])).
% 9.84/7.32 tff(48465,plain,
% 9.84/7.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s403, s404)) | (~xuntil6(s403)) | until5(s404))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s403, s404)) | (~xuntil6(s403)) | until5(s404))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48466,plain,
% 9.84/7.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s403, s404)) | (~xuntil6(s403)) | until5(s404))),
% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
% 9.84/7.32 tff(48467,plain,
% 9.84/7.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s403, s404)) | (~xuntil6(s403)) | until5(s404)),
% 9.84/7.32 inference(modus_ponens,[status(thm)],[48466, 48465])).
% 9.84/7.32 tff(48468,plain,
% 9.84/7.32 ((~xuntil6(s403)) | until5(s404)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48467, 44936, 141])).
% 9.84/7.32 tff(48469,plain,
% 9.84/7.32 (until5(s404)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48468, 48464])).
% 9.84/7.32 tff(48470,plain,
% 9.84/7.32 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s404) | (~node4(s404)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s404) | (~node4(s404)))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48471,plain,
% 9.84/7.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s404) | (~node4(s404)))),
% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
% 9.84/7.32 tff(48472,plain,
% 9.84/7.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s404) | (~node4(s404))),
% 9.84/7.32 inference(modus_ponens,[status(thm)],[48471, 48470])).
% 9.84/7.32 tff(48473,plain,
% 9.84/7.32 (~node4(s404)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48472, 22, 44933])).
% 9.84/7.32 tff(48474,plain,
% 9.84/7.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s404) | node4(s404) | (~until5(s404)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s404) | node4(s404) | (~until5(s404)))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48475,plain,
% 9.84/7.32 ((node4(s404) | (~until5(s404)) | xuntil6(s404)) <=> (xuntil6(s404) | node4(s404) | (~until5(s404)))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48476,plain,
% 9.84/7.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s404) | (~until5(s404)) | xuntil6(s404))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s404) | node4(s404) | (~until5(s404))))),
% 9.84/7.32 inference(monotonicity,[status(thm)],[48475])).
% 9.84/7.32 tff(48477,plain,
% 9.84/7.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s404) | (~until5(s404)) | xuntil6(s404))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s404) | node4(s404) | (~until5(s404)))),
% 9.84/7.32 inference(transitivity,[status(thm)],[48476, 48474])).
% 9.84/7.32 tff(48478,plain,
% 9.84/7.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s404) | (~until5(s404)) | xuntil6(s404))),
% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
% 9.84/7.32 tff(48479,plain,
% 9.84/7.32 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s404) | node4(s404) | (~until5(s404))),
% 9.84/7.32 inference(modus_ponens,[status(thm)],[48478, 48477])).
% 9.84/7.32 tff(48480,plain,
% 9.84/7.32 (xuntil6(s404) | (~until5(s404))),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48479, 36, 48473])).
% 9.84/7.32 tff(48481,plain,
% 9.84/7.32 (xuntil6(s404)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48480, 48469])).
% 9.84/7.32 tff(48482,plain,
% 9.84/7.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s404, s405)) | (~xuntil6(s404)) | until5(s405))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s404, s405)) | (~xuntil6(s404)) | until5(s405))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48483,plain,
% 9.84/7.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s404, s405)) | (~xuntil6(s404)) | until5(s405))),
% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
% 9.84/7.32 tff(48484,plain,
% 9.84/7.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s404, s405)) | (~xuntil6(s404)) | until5(s405)),
% 9.84/7.32 inference(modus_ponens,[status(thm)],[48483, 48482])).
% 9.84/7.32 tff(48485,plain,
% 9.84/7.32 ((~xuntil6(s404)) | until5(s405)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48484, 44924, 141])).
% 9.84/7.32 tff(48486,plain,
% 9.84/7.32 (until5(s405)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48485, 48481])).
% 9.84/7.32 tff(48487,plain,
% 9.84/7.32 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s405) | (~node4(s405)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s405) | (~node4(s405)))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48488,plain,
% 9.84/7.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s405) | (~node4(s405)))),
% 9.84/7.32 inference(quant_inst,[status(thm)],[])).
% 9.84/7.32 tff(48489,plain,
% 9.84/7.32 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s405) | (~node4(s405))),
% 9.84/7.32 inference(modus_ponens,[status(thm)],[48488, 48487])).
% 9.84/7.32 tff(48490,plain,
% 9.84/7.32 (~node4(s405)),
% 9.84/7.32 inference(unit_resolution,[status(thm)],[48489, 22, 44921])).
% 9.84/7.32 tff(48491,plain,
% 9.84/7.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s405) | node4(s405) | (~until5(s405)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s405) | node4(s405) | (~until5(s405)))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48492,plain,
% 9.84/7.32 ((node4(s405) | (~until5(s405)) | xuntil6(s405)) <=> (xuntil6(s405) | node4(s405) | (~until5(s405)))),
% 9.84/7.32 inference(rewrite,[status(thm)],[])).
% 9.84/7.32 tff(48493,plain,
% 9.84/7.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s405) | (~until5(s405)) | xuntil6(s405))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s405) | node4(s405) | (~until5(s405))))),
% 9.84/7.32 inference(monotonicity,[status(thm)],[48492])).
% 9.84/7.32 tff(48494,plain,
% 9.84/7.32 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s405) | (~until5(s405)) | xuntil6(s405))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s405) | node4(s405) | (~until5(s405)))),
% 9.84/7.32 inference(transitivity,[status(thm)],[48493, 48491])).
% 9.84/7.32 tff(48495,plain,
% 9.84/7.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s405) | (~until5(s405)) | xuntil6(s405))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48496,plain,
% 9.84/7.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s405) | node4(s405) | (~until5(s405))),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48495, 48494])).
% 9.84/7.33 tff(48497,plain,
% 9.84/7.33 (xuntil6(s405) | (~until5(s405))),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48496, 36, 48490])).
% 9.84/7.33 tff(48498,plain,
% 9.84/7.33 (xuntil6(s405)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48497, 48486])).
% 9.84/7.33 tff(48499,plain,
% 9.84/7.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s405, s406)) | (~xuntil6(s405)) | until5(s406))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s405, s406)) | (~xuntil6(s405)) | until5(s406))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48500,plain,
% 9.84/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s405, s406)) | (~xuntil6(s405)) | until5(s406))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48501,plain,
% 9.84/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s405, s406)) | (~xuntil6(s405)) | until5(s406)),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48500, 48499])).
% 9.84/7.33 tff(48502,plain,
% 9.84/7.33 ((~xuntil6(s405)) | until5(s406)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48501, 44912, 141])).
% 9.84/7.33 tff(48503,plain,
% 9.84/7.33 (until5(s406)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48502, 48498])).
% 9.84/7.33 tff(48504,plain,
% 9.84/7.33 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s406) | (~node4(s406)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s406) | (~node4(s406)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48505,plain,
% 9.84/7.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s406) | (~node4(s406)))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48506,plain,
% 9.84/7.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s406) | (~node4(s406))),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48505, 48504])).
% 9.84/7.33 tff(48507,plain,
% 9.84/7.33 (~node4(s406)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48506, 22, 44909])).
% 9.84/7.33 tff(48508,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s406) | node4(s406) | (~until5(s406)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s406) | node4(s406) | (~until5(s406)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48509,plain,
% 9.84/7.33 ((node4(s406) | (~until5(s406)) | xuntil6(s406)) <=> (xuntil6(s406) | node4(s406) | (~until5(s406)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48510,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s406) | (~until5(s406)) | xuntil6(s406))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s406) | node4(s406) | (~until5(s406))))),
% 9.84/7.33 inference(monotonicity,[status(thm)],[48509])).
% 9.84/7.33 tff(48511,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s406) | (~until5(s406)) | xuntil6(s406))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s406) | node4(s406) | (~until5(s406)))),
% 9.84/7.33 inference(transitivity,[status(thm)],[48510, 48508])).
% 9.84/7.33 tff(48512,plain,
% 9.84/7.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s406) | (~until5(s406)) | xuntil6(s406))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48513,plain,
% 9.84/7.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s406) | node4(s406) | (~until5(s406))),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48512, 48511])).
% 9.84/7.33 tff(48514,plain,
% 9.84/7.33 (xuntil6(s406) | (~until5(s406))),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48513, 36, 48507])).
% 9.84/7.33 tff(48515,plain,
% 9.84/7.33 (xuntil6(s406)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48514, 48503])).
% 9.84/7.33 tff(48516,plain,
% 9.84/7.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s406, s407)) | (~xuntil6(s406)) | until5(s407))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s406, s407)) | (~xuntil6(s406)) | until5(s407))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48517,plain,
% 9.84/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s406, s407)) | (~xuntil6(s406)) | until5(s407))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48518,plain,
% 9.84/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s406, s407)) | (~xuntil6(s406)) | until5(s407)),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48517, 48516])).
% 9.84/7.33 tff(48519,plain,
% 9.84/7.33 ((~xuntil6(s406)) | until5(s407)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48518, 44900, 141])).
% 9.84/7.33 tff(48520,plain,
% 9.84/7.33 (until5(s407)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48519, 48515])).
% 9.84/7.33 tff(48521,plain,
% 9.84/7.33 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s407) | (~node4(s407)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s407) | (~node4(s407)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48522,plain,
% 9.84/7.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s407) | (~node4(s407)))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48523,plain,
% 9.84/7.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s407) | (~node4(s407))),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48522, 48521])).
% 9.84/7.33 tff(48524,plain,
% 9.84/7.33 (~node4(s407)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48523, 22, 44897])).
% 9.84/7.33 tff(48525,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s407) | node4(s407) | (~until5(s407)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s407) | node4(s407) | (~until5(s407)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48526,plain,
% 9.84/7.33 ((node4(s407) | (~until5(s407)) | xuntil6(s407)) <=> (xuntil6(s407) | node4(s407) | (~until5(s407)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48527,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s407) | (~until5(s407)) | xuntil6(s407))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s407) | node4(s407) | (~until5(s407))))),
% 9.84/7.33 inference(monotonicity,[status(thm)],[48526])).
% 9.84/7.33 tff(48528,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s407) | (~until5(s407)) | xuntil6(s407))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s407) | node4(s407) | (~until5(s407)))),
% 9.84/7.33 inference(transitivity,[status(thm)],[48527, 48525])).
% 9.84/7.33 tff(48529,plain,
% 9.84/7.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s407) | (~until5(s407)) | xuntil6(s407))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48530,plain,
% 9.84/7.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s407) | node4(s407) | (~until5(s407))),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48529, 48528])).
% 9.84/7.33 tff(48531,plain,
% 9.84/7.33 (xuntil6(s407) | (~until5(s407))),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48530, 36, 48524])).
% 9.84/7.33 tff(48532,plain,
% 9.84/7.33 (xuntil6(s407)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48531, 48520])).
% 9.84/7.33 tff(48533,plain,
% 9.84/7.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s407, s408)) | (~xuntil6(s407)) | until5(s408))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s407, s408)) | (~xuntil6(s407)) | until5(s408))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48534,plain,
% 9.84/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s407, s408)) | (~xuntil6(s407)) | until5(s408))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48535,plain,
% 9.84/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s407, s408)) | (~xuntil6(s407)) | until5(s408)),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48534, 48533])).
% 9.84/7.33 tff(48536,plain,
% 9.84/7.33 ((~xuntil6(s407)) | until5(s408)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48535, 44888, 141])).
% 9.84/7.33 tff(48537,plain,
% 9.84/7.33 (until5(s408)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48536, 48532])).
% 9.84/7.33 tff(48538,plain,
% 9.84/7.33 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s408) | (~node4(s408)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s408) | (~node4(s408)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48539,plain,
% 9.84/7.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s408) | (~node4(s408)))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48540,plain,
% 9.84/7.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s408) | (~node4(s408))),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48539, 48538])).
% 9.84/7.33 tff(48541,plain,
% 9.84/7.33 (~node4(s408)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48540, 22, 44885])).
% 9.84/7.33 tff(48542,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s408) | node4(s408) | (~until5(s408)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s408) | node4(s408) | (~until5(s408)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48543,plain,
% 9.84/7.33 ((node4(s408) | (~until5(s408)) | xuntil6(s408)) <=> (xuntil6(s408) | node4(s408) | (~until5(s408)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48544,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s408) | (~until5(s408)) | xuntil6(s408))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s408) | node4(s408) | (~until5(s408))))),
% 9.84/7.33 inference(monotonicity,[status(thm)],[48543])).
% 9.84/7.33 tff(48545,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s408) | (~until5(s408)) | xuntil6(s408))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s408) | node4(s408) | (~until5(s408)))),
% 9.84/7.33 inference(transitivity,[status(thm)],[48544, 48542])).
% 9.84/7.33 tff(48546,plain,
% 9.84/7.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s408) | (~until5(s408)) | xuntil6(s408))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48547,plain,
% 9.84/7.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s408) | node4(s408) | (~until5(s408))),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48546, 48545])).
% 9.84/7.33 tff(48548,plain,
% 9.84/7.33 (xuntil6(s408) | (~until5(s408))),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48547, 36, 48541])).
% 9.84/7.33 tff(48549,plain,
% 9.84/7.33 (xuntil6(s408)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48548, 48537])).
% 9.84/7.33 tff(48550,plain,
% 9.84/7.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s408, s409)) | (~xuntil6(s408)) | until5(s409))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s408, s409)) | (~xuntil6(s408)) | until5(s409))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48551,plain,
% 9.84/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s408, s409)) | (~xuntil6(s408)) | until5(s409))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48552,plain,
% 9.84/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s408, s409)) | (~xuntil6(s408)) | until5(s409)),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48551, 48550])).
% 9.84/7.33 tff(48553,plain,
% 9.84/7.33 ((~xuntil6(s408)) | until5(s409)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48552, 44876, 141])).
% 9.84/7.33 tff(48554,plain,
% 9.84/7.33 (until5(s409)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48553, 48549])).
% 9.84/7.33 tff(48555,plain,
% 9.84/7.33 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s409) | (~node4(s409)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s409) | (~node4(s409)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48556,plain,
% 9.84/7.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s409) | (~node4(s409)))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48557,plain,
% 9.84/7.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s409) | (~node4(s409))),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48556, 48555])).
% 9.84/7.33 tff(48558,plain,
% 9.84/7.33 (~node4(s409)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48557, 22, 44873])).
% 9.84/7.33 tff(48559,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s409) | node4(s409) | (~until5(s409)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s409) | node4(s409) | (~until5(s409)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48560,plain,
% 9.84/7.33 ((node4(s409) | (~until5(s409)) | xuntil6(s409)) <=> (xuntil6(s409) | node4(s409) | (~until5(s409)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48561,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s409) | (~until5(s409)) | xuntil6(s409))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s409) | node4(s409) | (~until5(s409))))),
% 9.84/7.33 inference(monotonicity,[status(thm)],[48560])).
% 9.84/7.33 tff(48562,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s409) | (~until5(s409)) | xuntil6(s409))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s409) | node4(s409) | (~until5(s409)))),
% 9.84/7.33 inference(transitivity,[status(thm)],[48561, 48559])).
% 9.84/7.33 tff(48563,plain,
% 9.84/7.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s409) | (~until5(s409)) | xuntil6(s409))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48564,plain,
% 9.84/7.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s409) | node4(s409) | (~until5(s409))),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48563, 48562])).
% 9.84/7.33 tff(48565,plain,
% 9.84/7.33 (xuntil6(s409) | (~until5(s409))),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48564, 36, 48558])).
% 9.84/7.33 tff(48566,plain,
% 9.84/7.33 (xuntil6(s409)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48565, 48554])).
% 9.84/7.33 tff(48567,plain,
% 9.84/7.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s409, s410)) | (~xuntil6(s409)) | until5(s410))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s409, s410)) | (~xuntil6(s409)) | until5(s410))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48568,plain,
% 9.84/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s409, s410)) | (~xuntil6(s409)) | until5(s410))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48569,plain,
% 9.84/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s409, s410)) | (~xuntil6(s409)) | until5(s410)),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48568, 48567])).
% 9.84/7.33 tff(48570,plain,
% 9.84/7.33 ((~xuntil6(s409)) | until5(s410)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48569, 44864, 141])).
% 9.84/7.33 tff(48571,plain,
% 9.84/7.33 (until5(s410)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48570, 48566])).
% 9.84/7.33 tff(48572,plain,
% 9.84/7.33 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s410) | (~node4(s410)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s410) | (~node4(s410)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48573,plain,
% 9.84/7.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s410) | (~node4(s410)))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48574,plain,
% 9.84/7.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s410) | (~node4(s410))),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48573, 48572])).
% 9.84/7.33 tff(48575,plain,
% 9.84/7.33 (~node4(s410)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48574, 22, 44861])).
% 9.84/7.33 tff(48576,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s410) | node4(s410) | (~until5(s410)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s410) | node4(s410) | (~until5(s410)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48577,plain,
% 9.84/7.33 ((node4(s410) | (~until5(s410)) | xuntil6(s410)) <=> (xuntil6(s410) | node4(s410) | (~until5(s410)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48578,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s410) | (~until5(s410)) | xuntil6(s410))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s410) | node4(s410) | (~until5(s410))))),
% 9.84/7.33 inference(monotonicity,[status(thm)],[48577])).
% 9.84/7.33 tff(48579,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s410) | (~until5(s410)) | xuntil6(s410))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s410) | node4(s410) | (~until5(s410)))),
% 9.84/7.33 inference(transitivity,[status(thm)],[48578, 48576])).
% 9.84/7.33 tff(48580,plain,
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% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48581,plain,
% 9.84/7.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s410) | node4(s410) | (~until5(s410))),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48580, 48579])).
% 9.84/7.33 tff(48582,plain,
% 9.84/7.33 (xuntil6(s410) | (~until5(s410))),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48581, 36, 48575])).
% 9.84/7.33 tff(48583,plain,
% 9.84/7.33 (xuntil6(s410)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48582, 48571])).
% 9.84/7.33 tff(48584,plain,
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% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48585,plain,
% 9.84/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s410, s411)) | (~xuntil6(s410)) | until5(s411))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48586,plain,
% 9.84/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s410, s411)) | (~xuntil6(s410)) | until5(s411)),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48585, 48584])).
% 9.84/7.33 tff(48587,plain,
% 9.84/7.33 ((~xuntil6(s410)) | until5(s411)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48586, 44852, 141])).
% 9.84/7.33 tff(48588,plain,
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% 9.84/7.33 inference(unit_resolution,[status(thm)],[48587, 48583])).
% 9.84/7.33 tff(48589,plain,
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% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48590,plain,
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% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48591,plain,
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% 9.84/7.33 inference(modus_ponens,[status(thm)],[48590, 48589])).
% 9.84/7.33 tff(48592,plain,
% 9.84/7.33 (~node4(s411)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48591, 22, 44849])).
% 9.84/7.33 tff(48593,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s411) | node4(s411) | (~until5(s411)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s411) | node4(s411) | (~until5(s411)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48594,plain,
% 9.84/7.33 ((node4(s411) | (~until5(s411)) | xuntil6(s411)) <=> (xuntil6(s411) | node4(s411) | (~until5(s411)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48595,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s411) | (~until5(s411)) | xuntil6(s411))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s411) | node4(s411) | (~until5(s411))))),
% 9.84/7.33 inference(monotonicity,[status(thm)],[48594])).
% 9.84/7.33 tff(48596,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s411) | (~until5(s411)) | xuntil6(s411))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s411) | node4(s411) | (~until5(s411)))),
% 9.84/7.33 inference(transitivity,[status(thm)],[48595, 48593])).
% 9.84/7.33 tff(48597,plain,
% 9.84/7.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s411) | (~until5(s411)) | xuntil6(s411))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48598,plain,
% 9.84/7.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s411) | node4(s411) | (~until5(s411))),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48597, 48596])).
% 9.84/7.33 tff(48599,plain,
% 9.84/7.33 (xuntil6(s411) | (~until5(s411))),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48598, 36, 48592])).
% 9.84/7.33 tff(48600,plain,
% 9.84/7.33 (xuntil6(s411)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48599, 48588])).
% 9.84/7.33 tff(48601,plain,
% 9.84/7.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s411, s412)) | (~xuntil6(s411)) | until5(s412))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s411, s412)) | (~xuntil6(s411)) | until5(s412))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48602,plain,
% 9.84/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s411, s412)) | (~xuntil6(s411)) | until5(s412))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48603,plain,
% 9.84/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s411, s412)) | (~xuntil6(s411)) | until5(s412)),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48602, 48601])).
% 9.84/7.33 tff(48604,plain,
% 9.84/7.33 ((~xuntil6(s411)) | until5(s412)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48603, 44840, 141])).
% 9.84/7.33 tff(48605,plain,
% 9.84/7.33 (until5(s412)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48604, 48600])).
% 9.84/7.33 tff(48606,plain,
% 9.84/7.33 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s412) | (~node4(s412)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s412) | (~node4(s412)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48607,plain,
% 9.84/7.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s412) | (~node4(s412)))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48608,plain,
% 9.84/7.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s412) | (~node4(s412))),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48607, 48606])).
% 9.84/7.33 tff(48609,plain,
% 9.84/7.33 (~node4(s412)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48608, 22, 44837])).
% 9.84/7.33 tff(48610,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s412) | node4(s412) | (~until5(s412)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s412) | node4(s412) | (~until5(s412)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48611,plain,
% 9.84/7.33 ((node4(s412) | (~until5(s412)) | xuntil6(s412)) <=> (xuntil6(s412) | node4(s412) | (~until5(s412)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48612,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s412) | (~until5(s412)) | xuntil6(s412))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s412) | node4(s412) | (~until5(s412))))),
% 9.84/7.33 inference(monotonicity,[status(thm)],[48611])).
% 9.84/7.33 tff(48613,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s412) | (~until5(s412)) | xuntil6(s412))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s412) | node4(s412) | (~until5(s412)))),
% 9.84/7.33 inference(transitivity,[status(thm)],[48612, 48610])).
% 9.84/7.33 tff(48614,plain,
% 9.84/7.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s412) | (~until5(s412)) | xuntil6(s412))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48615,plain,
% 9.84/7.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s412) | node4(s412) | (~until5(s412))),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48614, 48613])).
% 9.84/7.33 tff(48616,plain,
% 9.84/7.33 (xuntil6(s412) | (~until5(s412))),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48615, 36, 48609])).
% 9.84/7.33 tff(48617,plain,
% 9.84/7.33 (xuntil6(s412)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48616, 48605])).
% 9.84/7.33 tff(48618,plain,
% 9.84/7.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s412, s413)) | (~xuntil6(s412)) | until5(s413))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s412, s413)) | (~xuntil6(s412)) | until5(s413))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48619,plain,
% 9.84/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s412, s413)) | (~xuntil6(s412)) | until5(s413))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48620,plain,
% 9.84/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s412, s413)) | (~xuntil6(s412)) | until5(s413)),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48619, 48618])).
% 9.84/7.33 tff(48621,plain,
% 9.84/7.33 ((~xuntil6(s412)) | until5(s413)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48620, 44828, 141])).
% 9.84/7.33 tff(48622,plain,
% 9.84/7.33 (until5(s413)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48621, 48617])).
% 9.84/7.33 tff(48623,plain,
% 9.84/7.33 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s413) | (~node4(s413)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s413) | (~node4(s413)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48624,plain,
% 9.84/7.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s413) | (~node4(s413)))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48625,plain,
% 9.84/7.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s413) | (~node4(s413))),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48624, 48623])).
% 9.84/7.33 tff(48626,plain,
% 9.84/7.33 (~node4(s413)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48625, 22, 44825])).
% 9.84/7.33 tff(48627,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s413) | node4(s413) | (~until5(s413)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s413) | node4(s413) | (~until5(s413)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48628,plain,
% 9.84/7.33 ((node4(s413) | (~until5(s413)) | xuntil6(s413)) <=> (xuntil6(s413) | node4(s413) | (~until5(s413)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48629,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s413) | (~until5(s413)) | xuntil6(s413))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s413) | node4(s413) | (~until5(s413))))),
% 9.84/7.33 inference(monotonicity,[status(thm)],[48628])).
% 9.84/7.33 tff(48630,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s413) | (~until5(s413)) | xuntil6(s413))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s413) | node4(s413) | (~until5(s413)))),
% 9.84/7.33 inference(transitivity,[status(thm)],[48629, 48627])).
% 9.84/7.33 tff(48631,plain,
% 9.84/7.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s413) | (~until5(s413)) | xuntil6(s413))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48632,plain,
% 9.84/7.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s413) | node4(s413) | (~until5(s413))),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48631, 48630])).
% 9.84/7.33 tff(48633,plain,
% 9.84/7.33 (xuntil6(s413) | (~until5(s413))),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48632, 36, 48626])).
% 9.84/7.33 tff(48634,plain,
% 9.84/7.33 (xuntil6(s413)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48633, 48622])).
% 9.84/7.33 tff(48635,plain,
% 9.84/7.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s413, s414)) | (~xuntil6(s413)) | until5(s414))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s413, s414)) | (~xuntil6(s413)) | until5(s414))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48636,plain,
% 9.84/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s413, s414)) | (~xuntil6(s413)) | until5(s414))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48637,plain,
% 9.84/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s413, s414)) | (~xuntil6(s413)) | until5(s414)),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48636, 48635])).
% 9.84/7.33 tff(48638,plain,
% 9.84/7.33 ((~xuntil6(s413)) | until5(s414)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48637, 44816, 141])).
% 9.84/7.33 tff(48639,plain,
% 9.84/7.33 (until5(s414)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48638, 48634])).
% 9.84/7.33 tff(48640,plain,
% 9.84/7.33 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s414) | (~node4(s414)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s414) | (~node4(s414)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48641,plain,
% 9.84/7.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s414) | (~node4(s414)))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48642,plain,
% 9.84/7.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s414) | (~node4(s414))),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48641, 48640])).
% 9.84/7.33 tff(48643,plain,
% 9.84/7.33 (~node4(s414)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48642, 22, 44813])).
% 9.84/7.33 tff(48644,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s414) | node4(s414) | (~until5(s414)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s414) | node4(s414) | (~until5(s414)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48645,plain,
% 9.84/7.33 ((node4(s414) | (~until5(s414)) | xuntil6(s414)) <=> (xuntil6(s414) | node4(s414) | (~until5(s414)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48646,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s414) | (~until5(s414)) | xuntil6(s414))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s414) | node4(s414) | (~until5(s414))))),
% 9.84/7.33 inference(monotonicity,[status(thm)],[48645])).
% 9.84/7.33 tff(48647,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s414) | (~until5(s414)) | xuntil6(s414))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s414) | node4(s414) | (~until5(s414)))),
% 9.84/7.33 inference(transitivity,[status(thm)],[48646, 48644])).
% 9.84/7.33 tff(48648,plain,
% 9.84/7.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s414) | (~until5(s414)) | xuntil6(s414))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48649,plain,
% 9.84/7.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s414) | node4(s414) | (~until5(s414))),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48648, 48647])).
% 9.84/7.33 tff(48650,plain,
% 9.84/7.33 (xuntil6(s414) | (~until5(s414))),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48649, 36, 48643])).
% 9.84/7.33 tff(48651,plain,
% 9.84/7.33 (xuntil6(s414)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48650, 48639])).
% 9.84/7.33 tff(48652,plain,
% 9.84/7.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s414, s415)) | (~xuntil6(s414)) | until5(s415))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s414, s415)) | (~xuntil6(s414)) | until5(s415))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48653,plain,
% 9.84/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s414, s415)) | (~xuntil6(s414)) | until5(s415))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48654,plain,
% 9.84/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s414, s415)) | (~xuntil6(s414)) | until5(s415)),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48653, 48652])).
% 9.84/7.33 tff(48655,plain,
% 9.84/7.33 ((~xuntil6(s414)) | until5(s415)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48654, 44804, 141])).
% 9.84/7.33 tff(48656,plain,
% 9.84/7.33 (until5(s415)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48655, 48651])).
% 9.84/7.33 tff(48657,plain,
% 9.84/7.33 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s415) | (~node4(s415)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s415) | (~node4(s415)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48658,plain,
% 9.84/7.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s415) | (~node4(s415)))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48659,plain,
% 9.84/7.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s415) | (~node4(s415))),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48658, 48657])).
% 9.84/7.33 tff(48660,plain,
% 9.84/7.33 (~node4(s415)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48659, 22, 44801])).
% 9.84/7.33 tff(48661,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s415) | node4(s415) | (~until5(s415)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s415) | node4(s415) | (~until5(s415)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48662,plain,
% 9.84/7.33 ((node4(s415) | (~until5(s415)) | xuntil6(s415)) <=> (xuntil6(s415) | node4(s415) | (~until5(s415)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48663,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s415) | (~until5(s415)) | xuntil6(s415))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s415) | node4(s415) | (~until5(s415))))),
% 9.84/7.33 inference(monotonicity,[status(thm)],[48662])).
% 9.84/7.33 tff(48664,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s415) | (~until5(s415)) | xuntil6(s415))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s415) | node4(s415) | (~until5(s415)))),
% 9.84/7.33 inference(transitivity,[status(thm)],[48663, 48661])).
% 9.84/7.33 tff(48665,plain,
% 9.84/7.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s415) | (~until5(s415)) | xuntil6(s415))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48666,plain,
% 9.84/7.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s415) | node4(s415) | (~until5(s415))),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48665, 48664])).
% 9.84/7.33 tff(48667,plain,
% 9.84/7.33 (xuntil6(s415) | (~until5(s415))),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48666, 36, 48660])).
% 9.84/7.33 tff(48668,plain,
% 9.84/7.33 (xuntil6(s415)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48667, 48656])).
% 9.84/7.33 tff(48669,plain,
% 9.84/7.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s415, s416)) | (~xuntil6(s415)) | until5(s416))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s415, s416)) | (~xuntil6(s415)) | until5(s416))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48670,plain,
% 9.84/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s415, s416)) | (~xuntil6(s415)) | until5(s416))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48671,plain,
% 9.84/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s415, s416)) | (~xuntil6(s415)) | until5(s416)),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48670, 48669])).
% 9.84/7.33 tff(48672,plain,
% 9.84/7.33 ((~xuntil6(s415)) | until5(s416)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48671, 44792, 141])).
% 9.84/7.33 tff(48673,plain,
% 9.84/7.33 (until5(s416)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48672, 48668])).
% 9.84/7.33 tff(48674,plain,
% 9.84/7.33 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s416) | (~node4(s416)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s416) | (~node4(s416)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48675,plain,
% 9.84/7.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s416) | (~node4(s416)))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48676,plain,
% 9.84/7.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s416) | (~node4(s416))),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48675, 48674])).
% 9.84/7.33 tff(48677,plain,
% 9.84/7.33 (~node4(s416)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48676, 22, 44789])).
% 9.84/7.33 tff(48678,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s416) | node4(s416) | (~until5(s416)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s416) | node4(s416) | (~until5(s416)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48679,plain,
% 9.84/7.33 ((node4(s416) | (~until5(s416)) | xuntil6(s416)) <=> (xuntil6(s416) | node4(s416) | (~until5(s416)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48680,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s416) | (~until5(s416)) | xuntil6(s416))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s416) | node4(s416) | (~until5(s416))))),
% 9.84/7.33 inference(monotonicity,[status(thm)],[48679])).
% 9.84/7.33 tff(48681,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s416) | (~until5(s416)) | xuntil6(s416))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s416) | node4(s416) | (~until5(s416)))),
% 9.84/7.33 inference(transitivity,[status(thm)],[48680, 48678])).
% 9.84/7.33 tff(48682,plain,
% 9.84/7.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s416) | (~until5(s416)) | xuntil6(s416))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48683,plain,
% 9.84/7.33 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s416) | node4(s416) | (~until5(s416))),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48682, 48681])).
% 9.84/7.33 tff(48684,plain,
% 9.84/7.33 (xuntil6(s416) | (~until5(s416))),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48683, 36, 48677])).
% 9.84/7.33 tff(48685,plain,
% 9.84/7.33 (xuntil6(s416)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48684, 48673])).
% 9.84/7.33 tff(48686,plain,
% 9.84/7.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s416, s417)) | (~xuntil6(s416)) | until5(s417))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s416, s417)) | (~xuntil6(s416)) | until5(s417))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48687,plain,
% 9.84/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s416, s417)) | (~xuntil6(s416)) | until5(s417))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48688,plain,
% 9.84/7.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s416, s417)) | (~xuntil6(s416)) | until5(s417)),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48687, 48686])).
% 9.84/7.33 tff(48689,plain,
% 9.84/7.33 ((~xuntil6(s416)) | until5(s417)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48688, 44780, 141])).
% 9.84/7.33 tff(48690,plain,
% 9.84/7.33 (until5(s417)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48689, 48685])).
% 9.84/7.33 tff(48691,plain,
% 9.84/7.33 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s417) | (~node4(s417)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s417) | (~node4(s417)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48692,plain,
% 9.84/7.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s417) | (~node4(s417)))),
% 9.84/7.33 inference(quant_inst,[status(thm)],[])).
% 9.84/7.33 tff(48693,plain,
% 9.84/7.33 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s417) | (~node4(s417))),
% 9.84/7.33 inference(modus_ponens,[status(thm)],[48692, 48691])).
% 9.84/7.33 tff(48694,plain,
% 9.84/7.33 (~node4(s417)),
% 9.84/7.33 inference(unit_resolution,[status(thm)],[48693, 22, 44777])).
% 9.84/7.33 tff(48695,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s417) | node4(s417) | (~until5(s417)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s417) | node4(s417) | (~until5(s417)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48696,plain,
% 9.84/7.33 ((node4(s417) | (~until5(s417)) | xuntil6(s417)) <=> (xuntil6(s417) | node4(s417) | (~until5(s417)))),
% 9.84/7.33 inference(rewrite,[status(thm)],[])).
% 9.84/7.33 tff(48697,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s417) | (~until5(s417)) | xuntil6(s417))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s417) | node4(s417) | (~until5(s417))))),
% 9.84/7.33 inference(monotonicity,[status(thm)],[48696])).
% 9.84/7.33 tff(48698,plain,
% 9.84/7.33 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s417) | (~until5(s417)) | xuntil6(s417))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s417) | node4(s417) | (~until5(s417)))),
% 9.84/7.34 inference(transitivity,[status(thm)],[48697, 48695])).
% 9.84/7.34 tff(48699,plain,
% 9.84/7.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s417) | (~until5(s417)) | xuntil6(s417))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48700,plain,
% 9.84/7.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s417) | node4(s417) | (~until5(s417))),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48699, 48698])).
% 9.84/7.34 tff(48701,plain,
% 9.84/7.34 (xuntil6(s417) | (~until5(s417))),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48700, 36, 48694])).
% 9.84/7.34 tff(48702,plain,
% 9.84/7.34 (xuntil6(s417)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48701, 48690])).
% 9.84/7.34 tff(48703,plain,
% 9.84/7.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s417, s418)) | (~xuntil6(s417)) | until5(s418))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s417, s418)) | (~xuntil6(s417)) | until5(s418))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48704,plain,
% 9.84/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s417, s418)) | (~xuntil6(s417)) | until5(s418))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48705,plain,
% 9.84/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s417, s418)) | (~xuntil6(s417)) | until5(s418)),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48704, 48703])).
% 9.84/7.34 tff(48706,plain,
% 9.84/7.34 ((~xuntil6(s417)) | until5(s418)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48705, 44768, 141])).
% 9.84/7.34 tff(48707,plain,
% 9.84/7.34 (until5(s418)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48706, 48702])).
% 9.84/7.34 tff(48708,plain,
% 9.84/7.34 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s418) | (~node4(s418)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s418) | (~node4(s418)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48709,plain,
% 9.84/7.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s418) | (~node4(s418)))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48710,plain,
% 9.84/7.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s418) | (~node4(s418))),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48709, 48708])).
% 9.84/7.34 tff(48711,plain,
% 9.84/7.34 (~node4(s418)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48710, 22, 44765])).
% 9.84/7.34 tff(48712,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s418) | node4(s418) | (~until5(s418)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s418) | node4(s418) | (~until5(s418)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48713,plain,
% 9.84/7.34 ((node4(s418) | (~until5(s418)) | xuntil6(s418)) <=> (xuntil6(s418) | node4(s418) | (~until5(s418)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48714,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s418) | (~until5(s418)) | xuntil6(s418))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s418) | node4(s418) | (~until5(s418))))),
% 9.84/7.34 inference(monotonicity,[status(thm)],[48713])).
% 9.84/7.34 tff(48715,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s418) | (~until5(s418)) | xuntil6(s418))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s418) | node4(s418) | (~until5(s418)))),
% 9.84/7.34 inference(transitivity,[status(thm)],[48714, 48712])).
% 9.84/7.34 tff(48716,plain,
% 9.84/7.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s418) | (~until5(s418)) | xuntil6(s418))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48717,plain,
% 9.84/7.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s418) | node4(s418) | (~until5(s418))),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48716, 48715])).
% 9.84/7.34 tff(48718,plain,
% 9.84/7.34 (xuntil6(s418) | (~until5(s418))),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48717, 36, 48711])).
% 9.84/7.34 tff(48719,plain,
% 9.84/7.34 (xuntil6(s418)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48718, 48707])).
% 9.84/7.34 tff(48720,plain,
% 9.84/7.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s418, s419)) | (~xuntil6(s418)) | until5(s419))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s418, s419)) | (~xuntil6(s418)) | until5(s419))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48721,plain,
% 9.84/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s418, s419)) | (~xuntil6(s418)) | until5(s419))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48722,plain,
% 9.84/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s418, s419)) | (~xuntil6(s418)) | until5(s419)),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48721, 48720])).
% 9.84/7.34 tff(48723,plain,
% 9.84/7.34 ((~xuntil6(s418)) | until5(s419)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48722, 44756, 141])).
% 9.84/7.34 tff(48724,plain,
% 9.84/7.34 (until5(s419)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48723, 48719])).
% 9.84/7.34 tff(48725,plain,
% 9.84/7.34 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s419) | (~node4(s419)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s419) | (~node4(s419)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48726,plain,
% 9.84/7.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s419) | (~node4(s419)))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48727,plain,
% 9.84/7.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s419) | (~node4(s419))),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48726, 48725])).
% 9.84/7.34 tff(48728,plain,
% 9.84/7.34 (~node4(s419)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48727, 22, 44753])).
% 9.84/7.34 tff(48729,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s419) | node4(s419) | (~until5(s419)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s419) | node4(s419) | (~until5(s419)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48730,plain,
% 9.84/7.34 ((node4(s419) | (~until5(s419)) | xuntil6(s419)) <=> (xuntil6(s419) | node4(s419) | (~until5(s419)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48731,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s419) | (~until5(s419)) | xuntil6(s419))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s419) | node4(s419) | (~until5(s419))))),
% 9.84/7.34 inference(monotonicity,[status(thm)],[48730])).
% 9.84/7.34 tff(48732,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s419) | (~until5(s419)) | xuntil6(s419))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s419) | node4(s419) | (~until5(s419)))),
% 9.84/7.34 inference(transitivity,[status(thm)],[48731, 48729])).
% 9.84/7.34 tff(48733,plain,
% 9.84/7.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s419) | (~until5(s419)) | xuntil6(s419))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48734,plain,
% 9.84/7.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s419) | node4(s419) | (~until5(s419))),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48733, 48732])).
% 9.84/7.34 tff(48735,plain,
% 9.84/7.34 (xuntil6(s419) | (~until5(s419))),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48734, 36, 48728])).
% 9.84/7.34 tff(48736,plain,
% 9.84/7.34 (xuntil6(s419)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48735, 48724])).
% 9.84/7.34 tff(48737,plain,
% 9.84/7.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s419, s420)) | (~xuntil6(s419)) | until5(s420))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s419, s420)) | (~xuntil6(s419)) | until5(s420))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48738,plain,
% 9.84/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s419, s420)) | (~xuntil6(s419)) | until5(s420))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48739,plain,
% 9.84/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s419, s420)) | (~xuntil6(s419)) | until5(s420)),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48738, 48737])).
% 9.84/7.34 tff(48740,plain,
% 9.84/7.34 ((~xuntil6(s419)) | until5(s420)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48739, 44744, 141])).
% 9.84/7.34 tff(48741,plain,
% 9.84/7.34 (until5(s420)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48740, 48736])).
% 9.84/7.34 tff(48742,plain,
% 9.84/7.34 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s420) | (~node4(s420)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s420) | (~node4(s420)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48743,plain,
% 9.84/7.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s420) | (~node4(s420)))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48744,plain,
% 9.84/7.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s420) | (~node4(s420))),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48743, 48742])).
% 9.84/7.34 tff(48745,plain,
% 9.84/7.34 (~node4(s420)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48744, 22, 44741])).
% 9.84/7.34 tff(48746,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s420) | node4(s420) | (~until5(s420)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s420) | node4(s420) | (~until5(s420)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48747,plain,
% 9.84/7.34 ((node4(s420) | (~until5(s420)) | xuntil6(s420)) <=> (xuntil6(s420) | node4(s420) | (~until5(s420)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48748,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s420) | (~until5(s420)) | xuntil6(s420))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s420) | node4(s420) | (~until5(s420))))),
% 9.84/7.34 inference(monotonicity,[status(thm)],[48747])).
% 9.84/7.34 tff(48749,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s420) | (~until5(s420)) | xuntil6(s420))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s420) | node4(s420) | (~until5(s420)))),
% 9.84/7.34 inference(transitivity,[status(thm)],[48748, 48746])).
% 9.84/7.34 tff(48750,plain,
% 9.84/7.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s420) | (~until5(s420)) | xuntil6(s420))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48751,plain,
% 9.84/7.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s420) | node4(s420) | (~until5(s420))),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48750, 48749])).
% 9.84/7.34 tff(48752,plain,
% 9.84/7.34 (xuntil6(s420) | (~until5(s420))),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48751, 36, 48745])).
% 9.84/7.34 tff(48753,plain,
% 9.84/7.34 (xuntil6(s420)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48752, 48741])).
% 9.84/7.34 tff(48754,plain,
% 9.84/7.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s420, s421)) | (~xuntil6(s420)) | until5(s421))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s420, s421)) | (~xuntil6(s420)) | until5(s421))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48755,plain,
% 9.84/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s420, s421)) | (~xuntil6(s420)) | until5(s421))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48756,plain,
% 9.84/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s420, s421)) | (~xuntil6(s420)) | until5(s421)),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48755, 48754])).
% 9.84/7.34 tff(48757,plain,
% 9.84/7.34 ((~xuntil6(s420)) | until5(s421)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48756, 44732, 141])).
% 9.84/7.34 tff(48758,plain,
% 9.84/7.34 (until5(s421)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48757, 48753])).
% 9.84/7.34 tff(48759,plain,
% 9.84/7.34 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s421) | (~node4(s421)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s421) | (~node4(s421)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48760,plain,
% 9.84/7.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s421) | (~node4(s421)))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48761,plain,
% 9.84/7.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s421) | (~node4(s421))),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48760, 48759])).
% 9.84/7.34 tff(48762,plain,
% 9.84/7.34 (~node4(s421)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48761, 22, 44729])).
% 9.84/7.34 tff(48763,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s421) | node4(s421) | (~until5(s421)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s421) | node4(s421) | (~until5(s421)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48764,plain,
% 9.84/7.34 ((node4(s421) | (~until5(s421)) | xuntil6(s421)) <=> (xuntil6(s421) | node4(s421) | (~until5(s421)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48765,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s421) | (~until5(s421)) | xuntil6(s421))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s421) | node4(s421) | (~until5(s421))))),
% 9.84/7.34 inference(monotonicity,[status(thm)],[48764])).
% 9.84/7.34 tff(48766,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s421) | (~until5(s421)) | xuntil6(s421))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s421) | node4(s421) | (~until5(s421)))),
% 9.84/7.34 inference(transitivity,[status(thm)],[48765, 48763])).
% 9.84/7.34 tff(48767,plain,
% 9.84/7.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s421) | (~until5(s421)) | xuntil6(s421))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48768,plain,
% 9.84/7.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s421) | node4(s421) | (~until5(s421))),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48767, 48766])).
% 9.84/7.34 tff(48769,plain,
% 9.84/7.34 (xuntil6(s421) | (~until5(s421))),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48768, 36, 48762])).
% 9.84/7.34 tff(48770,plain,
% 9.84/7.34 (xuntil6(s421)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48769, 48758])).
% 9.84/7.34 tff(48771,plain,
% 9.84/7.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s421, s422)) | (~xuntil6(s421)) | until5(s422))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s421, s422)) | (~xuntil6(s421)) | until5(s422))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48772,plain,
% 9.84/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s421, s422)) | (~xuntil6(s421)) | until5(s422))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48773,plain,
% 9.84/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s421, s422)) | (~xuntil6(s421)) | until5(s422)),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48772, 48771])).
% 9.84/7.34 tff(48774,plain,
% 9.84/7.34 ((~xuntil6(s421)) | until5(s422)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48773, 44720, 141])).
% 9.84/7.34 tff(48775,plain,
% 9.84/7.34 (until5(s422)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48774, 48770])).
% 9.84/7.34 tff(48776,plain,
% 9.84/7.34 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s422) | (~node4(s422)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s422) | (~node4(s422)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48777,plain,
% 9.84/7.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s422) | (~node4(s422)))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48778,plain,
% 9.84/7.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s422) | (~node4(s422))),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48777, 48776])).
% 9.84/7.34 tff(48779,plain,
% 9.84/7.34 (~node4(s422)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48778, 22, 44717])).
% 9.84/7.34 tff(48780,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s422) | node4(s422) | (~until5(s422)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s422) | node4(s422) | (~until5(s422)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48781,plain,
% 9.84/7.34 ((node4(s422) | (~until5(s422)) | xuntil6(s422)) <=> (xuntil6(s422) | node4(s422) | (~until5(s422)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48782,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s422) | (~until5(s422)) | xuntil6(s422))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s422) | node4(s422) | (~until5(s422))))),
% 9.84/7.34 inference(monotonicity,[status(thm)],[48781])).
% 9.84/7.34 tff(48783,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s422) | (~until5(s422)) | xuntil6(s422))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s422) | node4(s422) | (~until5(s422)))),
% 9.84/7.34 inference(transitivity,[status(thm)],[48782, 48780])).
% 9.84/7.34 tff(48784,plain,
% 9.84/7.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s422) | (~until5(s422)) | xuntil6(s422))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48785,plain,
% 9.84/7.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s422) | node4(s422) | (~until5(s422))),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48784, 48783])).
% 9.84/7.34 tff(48786,plain,
% 9.84/7.34 (xuntil6(s422) | (~until5(s422))),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48785, 36, 48779])).
% 9.84/7.34 tff(48787,plain,
% 9.84/7.34 (xuntil6(s422)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48786, 48775])).
% 9.84/7.34 tff(48788,plain,
% 9.84/7.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s422, s423)) | (~xuntil6(s422)) | until5(s423))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s422, s423)) | (~xuntil6(s422)) | until5(s423))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48789,plain,
% 9.84/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s422, s423)) | (~xuntil6(s422)) | until5(s423))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48790,plain,
% 9.84/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s422, s423)) | (~xuntil6(s422)) | until5(s423)),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48789, 48788])).
% 9.84/7.34 tff(48791,plain,
% 9.84/7.34 ((~xuntil6(s422)) | until5(s423)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48790, 44708, 141])).
% 9.84/7.34 tff(48792,plain,
% 9.84/7.34 (until5(s423)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48791, 48787])).
% 9.84/7.34 tff(48793,plain,
% 9.84/7.34 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s423) | (~node4(s423)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s423) | (~node4(s423)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48794,plain,
% 9.84/7.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s423) | (~node4(s423)))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48795,plain,
% 9.84/7.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s423) | (~node4(s423))),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48794, 48793])).
% 9.84/7.34 tff(48796,plain,
% 9.84/7.34 (~node4(s423)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48795, 22, 44705])).
% 9.84/7.34 tff(48797,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s423) | node4(s423) | (~until5(s423)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s423) | node4(s423) | (~until5(s423)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48798,plain,
% 9.84/7.34 ((node4(s423) | (~until5(s423)) | xuntil6(s423)) <=> (xuntil6(s423) | node4(s423) | (~until5(s423)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48799,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s423) | (~until5(s423)) | xuntil6(s423))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s423) | node4(s423) | (~until5(s423))))),
% 9.84/7.34 inference(monotonicity,[status(thm)],[48798])).
% 9.84/7.34 tff(48800,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s423) | (~until5(s423)) | xuntil6(s423))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s423) | node4(s423) | (~until5(s423)))),
% 9.84/7.34 inference(transitivity,[status(thm)],[48799, 48797])).
% 9.84/7.34 tff(48801,plain,
% 9.84/7.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s423) | (~until5(s423)) | xuntil6(s423))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48802,plain,
% 9.84/7.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s423) | node4(s423) | (~until5(s423))),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48801, 48800])).
% 9.84/7.34 tff(48803,plain,
% 9.84/7.34 (xuntil6(s423) | (~until5(s423))),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48802, 36, 48796])).
% 9.84/7.34 tff(48804,plain,
% 9.84/7.34 (xuntil6(s423)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48803, 48792])).
% 9.84/7.34 tff(48805,plain,
% 9.84/7.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s423, s424)) | (~xuntil6(s423)) | until5(s424))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s423, s424)) | (~xuntil6(s423)) | until5(s424))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48806,plain,
% 9.84/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s423, s424)) | (~xuntil6(s423)) | until5(s424))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48807,plain,
% 9.84/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s423, s424)) | (~xuntil6(s423)) | until5(s424)),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48806, 48805])).
% 9.84/7.34 tff(48808,plain,
% 9.84/7.34 ((~xuntil6(s423)) | until5(s424)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48807, 44696, 141])).
% 9.84/7.34 tff(48809,plain,
% 9.84/7.34 (until5(s424)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48808, 48804])).
% 9.84/7.34 tff(48810,plain,
% 9.84/7.34 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s424) | (~node4(s424)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s424) | (~node4(s424)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48811,plain,
% 9.84/7.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s424) | (~node4(s424)))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48812,plain,
% 9.84/7.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s424) | (~node4(s424))),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48811, 48810])).
% 9.84/7.34 tff(48813,plain,
% 9.84/7.34 (~node4(s424)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48812, 22, 44693])).
% 9.84/7.34 tff(48814,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s424) | node4(s424) | (~until5(s424)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s424) | node4(s424) | (~until5(s424)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48815,plain,
% 9.84/7.34 ((node4(s424) | (~until5(s424)) | xuntil6(s424)) <=> (xuntil6(s424) | node4(s424) | (~until5(s424)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48816,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s424) | (~until5(s424)) | xuntil6(s424))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s424) | node4(s424) | (~until5(s424))))),
% 9.84/7.34 inference(monotonicity,[status(thm)],[48815])).
% 9.84/7.34 tff(48817,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s424) | (~until5(s424)) | xuntil6(s424))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s424) | node4(s424) | (~until5(s424)))),
% 9.84/7.34 inference(transitivity,[status(thm)],[48816, 48814])).
% 9.84/7.34 tff(48818,plain,
% 9.84/7.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s424) | (~until5(s424)) | xuntil6(s424))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48819,plain,
% 9.84/7.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s424) | node4(s424) | (~until5(s424))),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48818, 48817])).
% 9.84/7.34 tff(48820,plain,
% 9.84/7.34 (xuntil6(s424) | (~until5(s424))),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48819, 36, 48813])).
% 9.84/7.34 tff(48821,plain,
% 9.84/7.34 (xuntil6(s424)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48820, 48809])).
% 9.84/7.34 tff(48822,plain,
% 9.84/7.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s424, s425)) | (~xuntil6(s424)) | until5(s425))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s424, s425)) | (~xuntil6(s424)) | until5(s425))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48823,plain,
% 9.84/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s424, s425)) | (~xuntil6(s424)) | until5(s425))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48824,plain,
% 9.84/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s424, s425)) | (~xuntil6(s424)) | until5(s425)),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48823, 48822])).
% 9.84/7.34 tff(48825,plain,
% 9.84/7.34 ((~xuntil6(s424)) | until5(s425)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48824, 44684, 141])).
% 9.84/7.34 tff(48826,plain,
% 9.84/7.34 (until5(s425)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48825, 48821])).
% 9.84/7.34 tff(48827,plain,
% 9.84/7.34 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s425) | (~node4(s425)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s425) | (~node4(s425)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48828,plain,
% 9.84/7.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s425) | (~node4(s425)))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48829,plain,
% 9.84/7.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s425) | (~node4(s425))),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48828, 48827])).
% 9.84/7.34 tff(48830,plain,
% 9.84/7.34 (~node4(s425)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48829, 22, 44681])).
% 9.84/7.34 tff(48831,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s425) | node4(s425) | (~until5(s425)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s425) | node4(s425) | (~until5(s425)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48832,plain,
% 9.84/7.34 ((node4(s425) | (~until5(s425)) | xuntil6(s425)) <=> (xuntil6(s425) | node4(s425) | (~until5(s425)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48833,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s425) | (~until5(s425)) | xuntil6(s425))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s425) | node4(s425) | (~until5(s425))))),
% 9.84/7.34 inference(monotonicity,[status(thm)],[48832])).
% 9.84/7.34 tff(48834,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s425) | (~until5(s425)) | xuntil6(s425))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s425) | node4(s425) | (~until5(s425)))),
% 9.84/7.34 inference(transitivity,[status(thm)],[48833, 48831])).
% 9.84/7.34 tff(48835,plain,
% 9.84/7.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s425) | (~until5(s425)) | xuntil6(s425))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48836,plain,
% 9.84/7.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s425) | node4(s425) | (~until5(s425))),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48835, 48834])).
% 9.84/7.34 tff(48837,plain,
% 9.84/7.34 (xuntil6(s425) | (~until5(s425))),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48836, 36, 48830])).
% 9.84/7.34 tff(48838,plain,
% 9.84/7.34 (xuntil6(s425)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48837, 48826])).
% 9.84/7.34 tff(48839,plain,
% 9.84/7.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s425, s426)) | (~xuntil6(s425)) | until5(s426))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s425, s426)) | (~xuntil6(s425)) | until5(s426))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48840,plain,
% 9.84/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s425, s426)) | (~xuntil6(s425)) | until5(s426))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48841,plain,
% 9.84/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s425, s426)) | (~xuntil6(s425)) | until5(s426)),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48840, 48839])).
% 9.84/7.34 tff(48842,plain,
% 9.84/7.34 ((~xuntil6(s425)) | until5(s426)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48841, 44672, 141])).
% 9.84/7.34 tff(48843,plain,
% 9.84/7.34 (until5(s426)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48842, 48838])).
% 9.84/7.34 tff(48844,plain,
% 9.84/7.34 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s426) | (~node4(s426)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s426) | (~node4(s426)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48845,plain,
% 9.84/7.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s426) | (~node4(s426)))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48846,plain,
% 9.84/7.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s426) | (~node4(s426))),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48845, 48844])).
% 9.84/7.34 tff(48847,plain,
% 9.84/7.34 (~node4(s426)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48846, 22, 44669])).
% 9.84/7.34 tff(48848,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s426) | node4(s426) | (~until5(s426)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s426) | node4(s426) | (~until5(s426)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48849,plain,
% 9.84/7.34 ((node4(s426) | (~until5(s426)) | xuntil6(s426)) <=> (xuntil6(s426) | node4(s426) | (~until5(s426)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48850,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s426) | (~until5(s426)) | xuntil6(s426))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s426) | node4(s426) | (~until5(s426))))),
% 9.84/7.34 inference(monotonicity,[status(thm)],[48849])).
% 9.84/7.34 tff(48851,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s426) | (~until5(s426)) | xuntil6(s426))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s426) | node4(s426) | (~until5(s426)))),
% 9.84/7.34 inference(transitivity,[status(thm)],[48850, 48848])).
% 9.84/7.34 tff(48852,plain,
% 9.84/7.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s426) | (~until5(s426)) | xuntil6(s426))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48853,plain,
% 9.84/7.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s426) | node4(s426) | (~until5(s426))),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48852, 48851])).
% 9.84/7.34 tff(48854,plain,
% 9.84/7.34 (xuntil6(s426) | (~until5(s426))),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48853, 36, 48847])).
% 9.84/7.34 tff(48855,plain,
% 9.84/7.34 (xuntil6(s426)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48854, 48843])).
% 9.84/7.34 tff(48856,plain,
% 9.84/7.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s426, s427)) | (~xuntil6(s426)) | until5(s427))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s426, s427)) | (~xuntil6(s426)) | until5(s427))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48857,plain,
% 9.84/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s426, s427)) | (~xuntil6(s426)) | until5(s427))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48858,plain,
% 9.84/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s426, s427)) | (~xuntil6(s426)) | until5(s427)),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48857, 48856])).
% 9.84/7.34 tff(48859,plain,
% 9.84/7.34 ((~xuntil6(s426)) | until5(s427)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48858, 44660, 141])).
% 9.84/7.34 tff(48860,plain,
% 9.84/7.34 (until5(s427)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48859, 48855])).
% 9.84/7.34 tff(48861,plain,
% 9.84/7.34 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s427) | (~node4(s427)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s427) | (~node4(s427)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48862,plain,
% 9.84/7.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s427) | (~node4(s427)))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48863,plain,
% 9.84/7.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s427) | (~node4(s427))),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48862, 48861])).
% 9.84/7.34 tff(48864,plain,
% 9.84/7.34 (~node4(s427)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48863, 22, 44657])).
% 9.84/7.34 tff(48865,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s427) | node4(s427) | (~until5(s427)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s427) | node4(s427) | (~until5(s427)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48866,plain,
% 9.84/7.34 ((node4(s427) | (~until5(s427)) | xuntil6(s427)) <=> (xuntil6(s427) | node4(s427) | (~until5(s427)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48867,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s427) | (~until5(s427)) | xuntil6(s427))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s427) | node4(s427) | (~until5(s427))))),
% 9.84/7.34 inference(monotonicity,[status(thm)],[48866])).
% 9.84/7.34 tff(48868,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s427) | (~until5(s427)) | xuntil6(s427))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s427) | node4(s427) | (~until5(s427)))),
% 9.84/7.34 inference(transitivity,[status(thm)],[48867, 48865])).
% 9.84/7.34 tff(48869,plain,
% 9.84/7.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s427) | (~until5(s427)) | xuntil6(s427))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48870,plain,
% 9.84/7.34 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s427) | node4(s427) | (~until5(s427))),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48869, 48868])).
% 9.84/7.34 tff(48871,plain,
% 9.84/7.34 (xuntil6(s427) | (~until5(s427))),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48870, 36, 48864])).
% 9.84/7.34 tff(48872,plain,
% 9.84/7.34 (xuntil6(s427)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48871, 48860])).
% 9.84/7.34 tff(48873,plain,
% 9.84/7.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s427, s428)) | (~xuntil6(s427)) | until5(s428))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s427, s428)) | (~xuntil6(s427)) | until5(s428))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48874,plain,
% 9.84/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s427, s428)) | (~xuntil6(s427)) | until5(s428))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48875,plain,
% 9.84/7.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s427, s428)) | (~xuntil6(s427)) | until5(s428)),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48874, 48873])).
% 9.84/7.34 tff(48876,plain,
% 9.84/7.34 ((~xuntil6(s427)) | until5(s428)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48875, 44648, 141])).
% 9.84/7.34 tff(48877,plain,
% 9.84/7.34 (until5(s428)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48876, 48872])).
% 9.84/7.34 tff(48878,plain,
% 9.84/7.34 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s428) | (~node4(s428)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s428) | (~node4(s428)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48879,plain,
% 9.84/7.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s428) | (~node4(s428)))),
% 9.84/7.34 inference(quant_inst,[status(thm)],[])).
% 9.84/7.34 tff(48880,plain,
% 9.84/7.34 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s428) | (~node4(s428))),
% 9.84/7.34 inference(modus_ponens,[status(thm)],[48879, 48878])).
% 9.84/7.34 tff(48881,plain,
% 9.84/7.34 (~node4(s428)),
% 9.84/7.34 inference(unit_resolution,[status(thm)],[48880, 22, 44645])).
% 9.84/7.34 tff(48882,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s428) | node4(s428) | (~until5(s428)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s428) | node4(s428) | (~until5(s428)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48883,plain,
% 9.84/7.34 ((node4(s428) | (~until5(s428)) | xuntil6(s428)) <=> (xuntil6(s428) | node4(s428) | (~until5(s428)))),
% 9.84/7.34 inference(rewrite,[status(thm)],[])).
% 9.84/7.34 tff(48884,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s428) | (~until5(s428)) | xuntil6(s428))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s428) | node4(s428) | (~until5(s428))))),
% 9.84/7.34 inference(monotonicity,[status(thm)],[48883])).
% 9.84/7.34 tff(48885,plain,
% 9.84/7.34 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s428) | (~until5(s428)) | xuntil6(s428))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s428) | node4(s428) | (~until5(s428)))),
% 9.84/7.35 inference(transitivity,[status(thm)],[48884, 48882])).
% 9.84/7.35 tff(48886,plain,
% 9.84/7.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s428) | (~until5(s428)) | xuntil6(s428))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(48887,plain,
% 9.84/7.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s428) | node4(s428) | (~until5(s428))),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[48886, 48885])).
% 9.84/7.35 tff(48888,plain,
% 9.84/7.35 (xuntil6(s428) | (~until5(s428))),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48887, 36, 48881])).
% 9.84/7.35 tff(48889,plain,
% 9.84/7.35 (xuntil6(s428)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48888, 48877])).
% 9.84/7.35 tff(48890,plain,
% 9.84/7.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s428, s429)) | (~xuntil6(s428)) | until5(s429))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s428, s429)) | (~xuntil6(s428)) | until5(s429))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48891,plain,
% 9.84/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s428, s429)) | (~xuntil6(s428)) | until5(s429))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(48892,plain,
% 9.84/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s428, s429)) | (~xuntil6(s428)) | until5(s429)),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[48891, 48890])).
% 9.84/7.35 tff(48893,plain,
% 9.84/7.35 ((~xuntil6(s428)) | until5(s429)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48892, 44636, 141])).
% 9.84/7.35 tff(48894,plain,
% 9.84/7.35 (until5(s429)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48893, 48889])).
% 9.84/7.35 tff(48895,plain,
% 9.84/7.35 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s429) | (~node4(s429)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s429) | (~node4(s429)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48896,plain,
% 9.84/7.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s429) | (~node4(s429)))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(48897,plain,
% 9.84/7.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s429) | (~node4(s429))),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[48896, 48895])).
% 9.84/7.35 tff(48898,plain,
% 9.84/7.35 (~node4(s429)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48897, 22, 44633])).
% 9.84/7.35 tff(48899,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s429) | node4(s429) | (~until5(s429)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s429) | node4(s429) | (~until5(s429)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48900,plain,
% 9.84/7.35 ((node4(s429) | (~until5(s429)) | xuntil6(s429)) <=> (xuntil6(s429) | node4(s429) | (~until5(s429)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48901,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s429) | (~until5(s429)) | xuntil6(s429))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s429) | node4(s429) | (~until5(s429))))),
% 9.84/7.35 inference(monotonicity,[status(thm)],[48900])).
% 9.84/7.35 tff(48902,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s429) | (~until5(s429)) | xuntil6(s429))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s429) | node4(s429) | (~until5(s429)))),
% 9.84/7.35 inference(transitivity,[status(thm)],[48901, 48899])).
% 9.84/7.35 tff(48903,plain,
% 9.84/7.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s429) | (~until5(s429)) | xuntil6(s429))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(48904,plain,
% 9.84/7.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s429) | node4(s429) | (~until5(s429))),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[48903, 48902])).
% 9.84/7.35 tff(48905,plain,
% 9.84/7.35 (xuntil6(s429) | (~until5(s429))),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48904, 36, 48898])).
% 9.84/7.35 tff(48906,plain,
% 9.84/7.35 (xuntil6(s429)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48905, 48894])).
% 9.84/7.35 tff(48907,plain,
% 9.84/7.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s429, s430)) | (~xuntil6(s429)) | until5(s430))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s429, s430)) | (~xuntil6(s429)) | until5(s430))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48908,plain,
% 9.84/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s429, s430)) | (~xuntil6(s429)) | until5(s430))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(48909,plain,
% 9.84/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s429, s430)) | (~xuntil6(s429)) | until5(s430)),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[48908, 48907])).
% 9.84/7.35 tff(48910,plain,
% 9.84/7.35 ((~xuntil6(s429)) | until5(s430)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48909, 44624, 141])).
% 9.84/7.35 tff(48911,plain,
% 9.84/7.35 (until5(s430)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48910, 48906])).
% 9.84/7.35 tff(48912,plain,
% 9.84/7.35 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s430) | (~node4(s430)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s430) | (~node4(s430)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48913,plain,
% 9.84/7.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s430) | (~node4(s430)))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(48914,plain,
% 9.84/7.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s430) | (~node4(s430))),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[48913, 48912])).
% 9.84/7.35 tff(48915,plain,
% 9.84/7.35 (~node4(s430)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48914, 22, 44621])).
% 9.84/7.35 tff(48916,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s430) | node4(s430) | (~until5(s430)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s430) | node4(s430) | (~until5(s430)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48917,plain,
% 9.84/7.35 ((node4(s430) | (~until5(s430)) | xuntil6(s430)) <=> (xuntil6(s430) | node4(s430) | (~until5(s430)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48918,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s430) | (~until5(s430)) | xuntil6(s430))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s430) | node4(s430) | (~until5(s430))))),
% 9.84/7.35 inference(monotonicity,[status(thm)],[48917])).
% 9.84/7.35 tff(48919,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s430) | (~until5(s430)) | xuntil6(s430))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s430) | node4(s430) | (~until5(s430)))),
% 9.84/7.35 inference(transitivity,[status(thm)],[48918, 48916])).
% 9.84/7.35 tff(48920,plain,
% 9.84/7.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s430) | (~until5(s430)) | xuntil6(s430))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(48921,plain,
% 9.84/7.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s430) | node4(s430) | (~until5(s430))),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[48920, 48919])).
% 9.84/7.35 tff(48922,plain,
% 9.84/7.35 (xuntil6(s430) | (~until5(s430))),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48921, 36, 48915])).
% 9.84/7.35 tff(48923,plain,
% 9.84/7.35 (xuntil6(s430)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48922, 48911])).
% 9.84/7.35 tff(48924,plain,
% 9.84/7.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s430, s431)) | (~xuntil6(s430)) | until5(s431))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s430, s431)) | (~xuntil6(s430)) | until5(s431))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48925,plain,
% 9.84/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s430, s431)) | (~xuntil6(s430)) | until5(s431))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(48926,plain,
% 9.84/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s430, s431)) | (~xuntil6(s430)) | until5(s431)),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[48925, 48924])).
% 9.84/7.35 tff(48927,plain,
% 9.84/7.35 ((~xuntil6(s430)) | until5(s431)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48926, 44612, 141])).
% 9.84/7.35 tff(48928,plain,
% 9.84/7.35 (until5(s431)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48927, 48923])).
% 9.84/7.35 tff(48929,plain,
% 9.84/7.35 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s431) | (~node4(s431)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s431) | (~node4(s431)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48930,plain,
% 9.84/7.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s431) | (~node4(s431)))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(48931,plain,
% 9.84/7.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s431) | (~node4(s431))),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[48930, 48929])).
% 9.84/7.35 tff(48932,plain,
% 9.84/7.35 (~node4(s431)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48931, 22, 44609])).
% 9.84/7.35 tff(48933,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s431) | node4(s431) | (~until5(s431)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s431) | node4(s431) | (~until5(s431)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48934,plain,
% 9.84/7.35 ((node4(s431) | (~until5(s431)) | xuntil6(s431)) <=> (xuntil6(s431) | node4(s431) | (~until5(s431)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48935,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s431) | (~until5(s431)) | xuntil6(s431))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s431) | node4(s431) | (~until5(s431))))),
% 9.84/7.35 inference(monotonicity,[status(thm)],[48934])).
% 9.84/7.35 tff(48936,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s431) | (~until5(s431)) | xuntil6(s431))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s431) | node4(s431) | (~until5(s431)))),
% 9.84/7.35 inference(transitivity,[status(thm)],[48935, 48933])).
% 9.84/7.35 tff(48937,plain,
% 9.84/7.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s431) | (~until5(s431)) | xuntil6(s431))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(48938,plain,
% 9.84/7.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s431) | node4(s431) | (~until5(s431))),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[48937, 48936])).
% 9.84/7.35 tff(48939,plain,
% 9.84/7.35 (xuntil6(s431) | (~until5(s431))),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48938, 36, 48932])).
% 9.84/7.35 tff(48940,plain,
% 9.84/7.35 (xuntil6(s431)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48939, 48928])).
% 9.84/7.35 tff(48941,plain,
% 9.84/7.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s431, s432)) | (~xuntil6(s431)) | until5(s432))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s431, s432)) | (~xuntil6(s431)) | until5(s432))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48942,plain,
% 9.84/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s431, s432)) | (~xuntil6(s431)) | until5(s432))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(48943,plain,
% 9.84/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s431, s432)) | (~xuntil6(s431)) | until5(s432)),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[48942, 48941])).
% 9.84/7.35 tff(48944,plain,
% 9.84/7.35 ((~xuntil6(s431)) | until5(s432)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48943, 44600, 141])).
% 9.84/7.35 tff(48945,plain,
% 9.84/7.35 (until5(s432)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48944, 48940])).
% 9.84/7.35 tff(48946,plain,
% 9.84/7.35 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s432) | (~node4(s432)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s432) | (~node4(s432)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48947,plain,
% 9.84/7.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s432) | (~node4(s432)))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(48948,plain,
% 9.84/7.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s432) | (~node4(s432))),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[48947, 48946])).
% 9.84/7.35 tff(48949,plain,
% 9.84/7.35 (~node4(s432)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48948, 22, 44597])).
% 9.84/7.35 tff(48950,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s432) | node4(s432) | (~until5(s432)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s432) | node4(s432) | (~until5(s432)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48951,plain,
% 9.84/7.35 ((node4(s432) | (~until5(s432)) | xuntil6(s432)) <=> (xuntil6(s432) | node4(s432) | (~until5(s432)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48952,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s432) | (~until5(s432)) | xuntil6(s432))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s432) | node4(s432) | (~until5(s432))))),
% 9.84/7.35 inference(monotonicity,[status(thm)],[48951])).
% 9.84/7.35 tff(48953,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s432) | (~until5(s432)) | xuntil6(s432))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s432) | node4(s432) | (~until5(s432)))),
% 9.84/7.35 inference(transitivity,[status(thm)],[48952, 48950])).
% 9.84/7.35 tff(48954,plain,
% 9.84/7.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s432) | (~until5(s432)) | xuntil6(s432))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(48955,plain,
% 9.84/7.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s432) | node4(s432) | (~until5(s432))),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[48954, 48953])).
% 9.84/7.35 tff(48956,plain,
% 9.84/7.35 (xuntil6(s432) | (~until5(s432))),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48955, 36, 48949])).
% 9.84/7.35 tff(48957,plain,
% 9.84/7.35 (xuntil6(s432)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48956, 48945])).
% 9.84/7.35 tff(48958,plain,
% 9.84/7.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s432, s433)) | (~xuntil6(s432)) | until5(s433))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s432, s433)) | (~xuntil6(s432)) | until5(s433))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48959,plain,
% 9.84/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s432, s433)) | (~xuntil6(s432)) | until5(s433))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(48960,plain,
% 9.84/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s432, s433)) | (~xuntil6(s432)) | until5(s433)),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[48959, 48958])).
% 9.84/7.35 tff(48961,plain,
% 9.84/7.35 ((~xuntil6(s432)) | until5(s433)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48960, 44588, 141])).
% 9.84/7.35 tff(48962,plain,
% 9.84/7.35 (until5(s433)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48961, 48957])).
% 9.84/7.35 tff(48963,plain,
% 9.84/7.35 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s433) | (~node4(s433)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s433) | (~node4(s433)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48964,plain,
% 9.84/7.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s433) | (~node4(s433)))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(48965,plain,
% 9.84/7.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s433) | (~node4(s433))),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[48964, 48963])).
% 9.84/7.35 tff(48966,plain,
% 9.84/7.35 (~node4(s433)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48965, 22, 44585])).
% 9.84/7.35 tff(48967,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s433) | node4(s433) | (~until5(s433)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s433) | node4(s433) | (~until5(s433)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48968,plain,
% 9.84/7.35 ((node4(s433) | (~until5(s433)) | xuntil6(s433)) <=> (xuntil6(s433) | node4(s433) | (~until5(s433)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48969,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s433) | (~until5(s433)) | xuntil6(s433))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s433) | node4(s433) | (~until5(s433))))),
% 9.84/7.35 inference(monotonicity,[status(thm)],[48968])).
% 9.84/7.35 tff(48970,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s433) | (~until5(s433)) | xuntil6(s433))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s433) | node4(s433) | (~until5(s433)))),
% 9.84/7.35 inference(transitivity,[status(thm)],[48969, 48967])).
% 9.84/7.35 tff(48971,plain,
% 9.84/7.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s433) | (~until5(s433)) | xuntil6(s433))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(48972,plain,
% 9.84/7.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s433) | node4(s433) | (~until5(s433))),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[48971, 48970])).
% 9.84/7.35 tff(48973,plain,
% 9.84/7.35 (xuntil6(s433) | (~until5(s433))),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48972, 36, 48966])).
% 9.84/7.35 tff(48974,plain,
% 9.84/7.35 (xuntil6(s433)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48973, 48962])).
% 9.84/7.35 tff(48975,plain,
% 9.84/7.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s433, s434)) | (~xuntil6(s433)) | until5(s434))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s433, s434)) | (~xuntil6(s433)) | until5(s434))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48976,plain,
% 9.84/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s433, s434)) | (~xuntil6(s433)) | until5(s434))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(48977,plain,
% 9.84/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s433, s434)) | (~xuntil6(s433)) | until5(s434)),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[48976, 48975])).
% 9.84/7.35 tff(48978,plain,
% 9.84/7.35 ((~xuntil6(s433)) | until5(s434)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48977, 44576, 141])).
% 9.84/7.35 tff(48979,plain,
% 9.84/7.35 (until5(s434)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48978, 48974])).
% 9.84/7.35 tff(48980,plain,
% 9.84/7.35 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s434) | (~node4(s434)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s434) | (~node4(s434)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48981,plain,
% 9.84/7.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s434) | (~node4(s434)))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(48982,plain,
% 9.84/7.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s434) | (~node4(s434))),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[48981, 48980])).
% 9.84/7.35 tff(48983,plain,
% 9.84/7.35 (~node4(s434)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48982, 22, 44573])).
% 9.84/7.35 tff(48984,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s434) | node4(s434) | (~until5(s434)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s434) | node4(s434) | (~until5(s434)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48985,plain,
% 9.84/7.35 ((node4(s434) | (~until5(s434)) | xuntil6(s434)) <=> (xuntil6(s434) | node4(s434) | (~until5(s434)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48986,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s434) | (~until5(s434)) | xuntil6(s434))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s434) | node4(s434) | (~until5(s434))))),
% 9.84/7.35 inference(monotonicity,[status(thm)],[48985])).
% 9.84/7.35 tff(48987,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s434) | (~until5(s434)) | xuntil6(s434))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s434) | node4(s434) | (~until5(s434)))),
% 9.84/7.35 inference(transitivity,[status(thm)],[48986, 48984])).
% 9.84/7.35 tff(48988,plain,
% 9.84/7.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s434) | (~until5(s434)) | xuntil6(s434))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(48989,plain,
% 9.84/7.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s434) | node4(s434) | (~until5(s434))),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[48988, 48987])).
% 9.84/7.35 tff(48990,plain,
% 9.84/7.35 (xuntil6(s434) | (~until5(s434))),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48989, 36, 48983])).
% 9.84/7.35 tff(48991,plain,
% 9.84/7.35 (xuntil6(s434)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48990, 48979])).
% 9.84/7.35 tff(48992,plain,
% 9.84/7.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s434, s435)) | (~xuntil6(s434)) | until5(s435))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s434, s435)) | (~xuntil6(s434)) | until5(s435))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48993,plain,
% 9.84/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s434, s435)) | (~xuntil6(s434)) | until5(s435))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(48994,plain,
% 9.84/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s434, s435)) | (~xuntil6(s434)) | until5(s435)),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[48993, 48992])).
% 9.84/7.35 tff(48995,plain,
% 9.84/7.35 ((~xuntil6(s434)) | until5(s435)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48994, 44564, 141])).
% 9.84/7.35 tff(48996,plain,
% 9.84/7.35 (until5(s435)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48995, 48991])).
% 9.84/7.35 tff(48997,plain,
% 9.84/7.35 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s435) | (~node4(s435)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s435) | (~node4(s435)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(48998,plain,
% 9.84/7.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s435) | (~node4(s435)))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(48999,plain,
% 9.84/7.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s435) | (~node4(s435))),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[48998, 48997])).
% 9.84/7.35 tff(49000,plain,
% 9.84/7.35 (~node4(s435)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[48999, 22, 44561])).
% 9.84/7.35 tff(49001,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s435) | node4(s435) | (~until5(s435)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s435) | node4(s435) | (~until5(s435)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(49002,plain,
% 9.84/7.35 ((node4(s435) | (~until5(s435)) | xuntil6(s435)) <=> (xuntil6(s435) | node4(s435) | (~until5(s435)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(49003,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s435) | (~until5(s435)) | xuntil6(s435))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s435) | node4(s435) | (~until5(s435))))),
% 9.84/7.35 inference(monotonicity,[status(thm)],[49002])).
% 9.84/7.35 tff(49004,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s435) | (~until5(s435)) | xuntil6(s435))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s435) | node4(s435) | (~until5(s435)))),
% 9.84/7.35 inference(transitivity,[status(thm)],[49003, 49001])).
% 9.84/7.35 tff(49005,plain,
% 9.84/7.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s435) | (~until5(s435)) | xuntil6(s435))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(49006,plain,
% 9.84/7.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s435) | node4(s435) | (~until5(s435))),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[49005, 49004])).
% 9.84/7.35 tff(49007,plain,
% 9.84/7.35 (xuntil6(s435) | (~until5(s435))),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[49006, 36, 49000])).
% 9.84/7.35 tff(49008,plain,
% 9.84/7.35 (xuntil6(s435)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[49007, 48996])).
% 9.84/7.35 tff(49009,plain,
% 9.84/7.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s435, s436)) | (~xuntil6(s435)) | until5(s436))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s435, s436)) | (~xuntil6(s435)) | until5(s436))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(49010,plain,
% 9.84/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s435, s436)) | (~xuntil6(s435)) | until5(s436))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(49011,plain,
% 9.84/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s435, s436)) | (~xuntil6(s435)) | until5(s436)),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[49010, 49009])).
% 9.84/7.35 tff(49012,plain,
% 9.84/7.35 ((~xuntil6(s435)) | until5(s436)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[49011, 44552, 141])).
% 9.84/7.35 tff(49013,plain,
% 9.84/7.35 (until5(s436)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[49012, 49008])).
% 9.84/7.35 tff(49014,assumption,(node4(s449)), introduced(assumption)).
% 9.84/7.35 tff(49015,plain,
% 9.84/7.35 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s449) | (~node4(s449)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s449) | (~node4(s449)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(49016,plain,
% 9.84/7.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s449) | (~node4(s449)))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(49017,plain,
% 9.84/7.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s449) | (~node4(s449))),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[49016, 49015])).
% 9.84/7.35 tff(49018,plain,
% 9.84/7.35 ($false),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[49017, 22, 44390, 49014])).
% 9.84/7.35 tff(49019,plain,((~node4(s449)) | always3(s449)), inference(lemma,lemma(discharge,[]))).
% 9.84/7.35 tff(49020,plain,
% 9.84/7.35 (~node4(s449)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[49019, 44390])).
% 9.84/7.35 tff(49021,assumption,(~xuntil6(s449)), introduced(assumption)).
% 9.84/7.35 tff(49022,plain,
% 9.84/7.35 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s437) | (~node4(s437)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s437) | (~node4(s437)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(49023,plain,
% 9.84/7.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s437) | (~node4(s437)))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(49024,plain,
% 9.84/7.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s437) | (~node4(s437))),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[49023, 49022])).
% 9.84/7.35 tff(49025,plain,
% 9.84/7.35 (~node4(s437)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[49024, 22, 44537])).
% 9.84/7.35 tff(49026,plain,
% 9.84/7.35 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s436) | (~node4(s436)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s436) | (~node4(s436)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(49027,plain,
% 9.84/7.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s436) | (~node4(s436)))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(49028,plain,
% 9.84/7.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s436) | (~node4(s436))),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[49027, 49026])).
% 9.84/7.35 tff(49029,plain,
% 9.84/7.35 (~node4(s436)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[49028, 22, 44549])).
% 9.84/7.35 tff(49030,assumption,(until5(s436)), introduced(assumption)).
% 9.84/7.35 tff(49031,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s436) | node4(s436) | (~until5(s436)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s436) | node4(s436) | (~until5(s436)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(49032,plain,
% 9.84/7.35 ((node4(s436) | (~until5(s436)) | xuntil6(s436)) <=> (xuntil6(s436) | node4(s436) | (~until5(s436)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(49033,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s436) | (~until5(s436)) | xuntil6(s436))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s436) | node4(s436) | (~until5(s436))))),
% 9.84/7.35 inference(monotonicity,[status(thm)],[49032])).
% 9.84/7.35 tff(49034,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s436) | (~until5(s436)) | xuntil6(s436))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s436) | node4(s436) | (~until5(s436)))),
% 9.84/7.35 inference(transitivity,[status(thm)],[49033, 49031])).
% 9.84/7.35 tff(49035,plain,
% 9.84/7.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s436) | (~until5(s436)) | xuntil6(s436))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(49036,plain,
% 9.84/7.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s436) | node4(s436) | (~until5(s436))),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[49035, 49034])).
% 9.84/7.35 tff(49037,plain,
% 9.84/7.35 (xuntil6(s436) | node4(s436)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[49036, 36, 49030])).
% 9.84/7.35 tff(49038,plain,
% 9.84/7.35 (xuntil6(s436)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[49037, 49029])).
% 9.84/7.35 tff(49039,plain,
% 9.84/7.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s436, s437)) | (~xuntil6(s436)) | until5(s437))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s436, s437)) | (~xuntil6(s436)) | until5(s437))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(49040,plain,
% 9.84/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s436, s437)) | (~xuntil6(s436)) | until5(s437))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(49041,plain,
% 9.84/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s436, s437)) | (~xuntil6(s436)) | until5(s437)),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[49040, 49039])).
% 9.84/7.35 tff(49042,plain,
% 9.84/7.35 ((~xuntil6(s436)) | until5(s437)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[49041, 44540, 141])).
% 9.84/7.35 tff(49043,plain,
% 9.84/7.35 (until5(s437)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[49042, 49038])).
% 9.84/7.35 tff(49044,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s437) | node4(s437) | (~until5(s437)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s437) | node4(s437) | (~until5(s437)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(49045,plain,
% 9.84/7.35 ((node4(s437) | (~until5(s437)) | xuntil6(s437)) <=> (xuntil6(s437) | node4(s437) | (~until5(s437)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(49046,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s437) | (~until5(s437)) | xuntil6(s437))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s437) | node4(s437) | (~until5(s437))))),
% 9.84/7.35 inference(monotonicity,[status(thm)],[49045])).
% 9.84/7.35 tff(49047,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s437) | (~until5(s437)) | xuntil6(s437))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s437) | node4(s437) | (~until5(s437)))),
% 9.84/7.35 inference(transitivity,[status(thm)],[49046, 49044])).
% 9.84/7.35 tff(49048,plain,
% 9.84/7.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s437) | (~until5(s437)) | xuntil6(s437))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(49049,plain,
% 9.84/7.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s437) | node4(s437) | (~until5(s437))),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[49048, 49047])).
% 9.84/7.35 tff(49050,plain,
% 9.84/7.35 (xuntil6(s437)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[49049, 36, 49043, 49025])).
% 9.84/7.35 tff(49051,plain,
% 9.84/7.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s437, s438)) | (~xuntil6(s437)) | until5(s438))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s437, s438)) | (~xuntil6(s437)) | until5(s438))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(49052,plain,
% 9.84/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s437, s438)) | (~xuntil6(s437)) | until5(s438))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(49053,plain,
% 9.84/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s437, s438)) | (~xuntil6(s437)) | until5(s438)),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[49052, 49051])).
% 9.84/7.35 tff(49054,plain,
% 9.84/7.35 ((~xuntil6(s437)) | until5(s438)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[49053, 44528, 141])).
% 9.84/7.35 tff(49055,plain,
% 9.84/7.35 (until5(s438)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[49054, 49050])).
% 9.84/7.35 tff(49056,plain,
% 9.84/7.35 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s438) | (~node4(s438)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s438) | (~node4(s438)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(49057,plain,
% 9.84/7.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s438) | (~node4(s438)))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(49058,plain,
% 9.84/7.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s438) | (~node4(s438))),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[49057, 49056])).
% 9.84/7.35 tff(49059,plain,
% 9.84/7.35 (~node4(s438)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[49058, 22, 44525])).
% 9.84/7.35 tff(49060,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s438) | node4(s438) | (~until5(s438)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s438) | node4(s438) | (~until5(s438)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(49061,plain,
% 9.84/7.35 ((node4(s438) | (~until5(s438)) | xuntil6(s438)) <=> (xuntil6(s438) | node4(s438) | (~until5(s438)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(49062,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s438) | (~until5(s438)) | xuntil6(s438))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s438) | node4(s438) | (~until5(s438))))),
% 9.84/7.35 inference(monotonicity,[status(thm)],[49061])).
% 9.84/7.35 tff(49063,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s438) | (~until5(s438)) | xuntil6(s438))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s438) | node4(s438) | (~until5(s438)))),
% 9.84/7.35 inference(transitivity,[status(thm)],[49062, 49060])).
% 9.84/7.35 tff(49064,plain,
% 9.84/7.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s438) | (~until5(s438)) | xuntil6(s438))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(49065,plain,
% 9.84/7.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s438) | node4(s438) | (~until5(s438))),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[49064, 49063])).
% 9.84/7.35 tff(49066,plain,
% 9.84/7.35 (xuntil6(s438) | (~until5(s438))),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[49065, 36, 49059])).
% 9.84/7.35 tff(49067,plain,
% 9.84/7.35 (xuntil6(s438)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[49066, 49055])).
% 9.84/7.35 tff(49068,plain,
% 9.84/7.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s438, s439)) | (~xuntil6(s438)) | until5(s439))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s438, s439)) | (~xuntil6(s438)) | until5(s439))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(49069,plain,
% 9.84/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s438, s439)) | (~xuntil6(s438)) | until5(s439))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(49070,plain,
% 9.84/7.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s438, s439)) | (~xuntil6(s438)) | until5(s439)),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[49069, 49068])).
% 9.84/7.35 tff(49071,plain,
% 9.84/7.35 ((~xuntil6(s438)) | until5(s439)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[49070, 44516, 141])).
% 9.84/7.35 tff(49072,plain,
% 9.84/7.35 (until5(s439)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[49071, 49067])).
% 9.84/7.35 tff(49073,plain,
% 9.84/7.35 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s439) | (~node4(s439)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s439) | (~node4(s439)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(49074,plain,
% 9.84/7.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s439) | (~node4(s439)))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(49075,plain,
% 9.84/7.35 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s439) | (~node4(s439))),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[49074, 49073])).
% 9.84/7.35 tff(49076,plain,
% 9.84/7.35 (~node4(s439)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[49075, 22, 44513])).
% 9.84/7.35 tff(49077,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s439) | node4(s439) | (~until5(s439)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s439) | node4(s439) | (~until5(s439)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(49078,plain,
% 9.84/7.35 ((node4(s439) | (~until5(s439)) | xuntil6(s439)) <=> (xuntil6(s439) | node4(s439) | (~until5(s439)))),
% 9.84/7.35 inference(rewrite,[status(thm)],[])).
% 9.84/7.35 tff(49079,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s439) | (~until5(s439)) | xuntil6(s439))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s439) | node4(s439) | (~until5(s439))))),
% 9.84/7.35 inference(monotonicity,[status(thm)],[49078])).
% 9.84/7.35 tff(49080,plain,
% 9.84/7.35 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s439) | (~until5(s439)) | xuntil6(s439))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s439) | node4(s439) | (~until5(s439)))),
% 9.84/7.35 inference(transitivity,[status(thm)],[49079, 49077])).
% 9.84/7.35 tff(49081,plain,
% 9.84/7.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s439) | (~until5(s439)) | xuntil6(s439))),
% 9.84/7.35 inference(quant_inst,[status(thm)],[])).
% 9.84/7.35 tff(49082,plain,
% 9.84/7.35 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s439) | node4(s439) | (~until5(s439))),
% 9.84/7.35 inference(modus_ponens,[status(thm)],[49081, 49080])).
% 9.84/7.35 tff(49083,plain,
% 9.84/7.35 (xuntil6(s439) | (~until5(s439))),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[49082, 36, 49076])).
% 9.84/7.35 tff(49084,plain,
% 9.84/7.35 (xuntil6(s439)),
% 9.84/7.35 inference(unit_resolution,[status(thm)],[49083, 49072])).
% 9.84/7.35 tff(49085,plain,
% 9.84/7.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s439, s440)) | (~xuntil6(s439)) | until5(s440))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s439, s440)) | (~xuntil6(s439)) | until5(s440))),
% 9.84/7.36 inference(rewrite,[status(thm)],[])).
% 9.84/7.36 tff(49086,plain,
% 9.84/7.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s439, s440)) | (~xuntil6(s439)) | until5(s440))),
% 9.84/7.36 inference(quant_inst,[status(thm)],[])).
% 9.84/7.36 tff(49087,plain,
% 9.84/7.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s439, s440)) | (~xuntil6(s439)) | until5(s440)),
% 9.84/7.36 inference(modus_ponens,[status(thm)],[49086, 49085])).
% 9.84/7.36 tff(49088,plain,
% 9.84/7.36 ((~xuntil6(s439)) | until5(s440)),
% 9.84/7.36 inference(unit_resolution,[status(thm)],[49087, 44504, 141])).
% 9.84/7.36 tff(49089,plain,
% 9.84/7.36 (until5(s440)),
% 9.84/7.36 inference(unit_resolution,[status(thm)],[49088, 49084])).
% 9.84/7.36 tff(49090,plain,
% 9.84/7.36 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s440) | (~node4(s440)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s440) | (~node4(s440)))),
% 9.84/7.36 inference(rewrite,[status(thm)],[])).
% 9.84/7.36 tff(49091,plain,
% 9.84/7.36 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s440) | (~node4(s440)))),
% 9.84/7.36 inference(quant_inst,[status(thm)],[])).
% 9.84/7.36 tff(49092,plain,
% 9.84/7.36 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s440) | (~node4(s440))),
% 9.84/7.36 inference(modus_ponens,[status(thm)],[49091, 49090])).
% 9.84/7.36 tff(49093,plain,
% 9.84/7.36 (~node4(s440)),
% 9.84/7.36 inference(unit_resolution,[status(thm)],[49092, 22, 44501])).
% 9.84/7.36 tff(49094,plain,
% 9.84/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s440) | node4(s440) | (~until5(s440)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s440) | node4(s440) | (~until5(s440)))),
% 9.84/7.36 inference(rewrite,[status(thm)],[])).
% 9.84/7.36 tff(49095,plain,
% 9.84/7.36 ((node4(s440) | (~until5(s440)) | xuntil6(s440)) <=> (xuntil6(s440) | node4(s440) | (~until5(s440)))),
% 9.84/7.36 inference(rewrite,[status(thm)],[])).
% 9.84/7.36 tff(49096,plain,
% 9.84/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s440) | (~until5(s440)) | xuntil6(s440))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s440) | node4(s440) | (~until5(s440))))),
% 9.84/7.36 inference(monotonicity,[status(thm)],[49095])).
% 9.84/7.36 tff(49097,plain,
% 9.84/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s440) | (~until5(s440)) | xuntil6(s440))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s440) | node4(s440) | (~until5(s440)))),
% 9.84/7.36 inference(transitivity,[status(thm)],[49096, 49094])).
% 9.84/7.36 tff(49098,plain,
% 9.84/7.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s440) | (~until5(s440)) | xuntil6(s440))),
% 9.84/7.36 inference(quant_inst,[status(thm)],[])).
% 9.84/7.36 tff(49099,plain,
% 9.84/7.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s440) | node4(s440) | (~until5(s440))),
% 9.84/7.36 inference(modus_ponens,[status(thm)],[49098, 49097])).
% 9.84/7.36 tff(49100,plain,
% 9.84/7.36 (xuntil6(s440) | (~until5(s440))),
% 9.84/7.36 inference(unit_resolution,[status(thm)],[49099, 36, 49093])).
% 9.84/7.36 tff(49101,plain,
% 9.84/7.36 (xuntil6(s440)),
% 9.84/7.36 inference(unit_resolution,[status(thm)],[49100, 49089])).
% 9.84/7.36 tff(49102,plain,
% 9.84/7.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s440, s441)) | (~xuntil6(s440)) | until5(s441))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s440, s441)) | (~xuntil6(s440)) | until5(s441))),
% 9.84/7.36 inference(rewrite,[status(thm)],[])).
% 9.84/7.36 tff(49103,plain,
% 9.84/7.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s440, s441)) | (~xuntil6(s440)) | until5(s441))),
% 9.84/7.36 inference(quant_inst,[status(thm)],[])).
% 9.84/7.36 tff(49104,plain,
% 9.84/7.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s440, s441)) | (~xuntil6(s440)) | until5(s441)),
% 9.84/7.36 inference(modus_ponens,[status(thm)],[49103, 49102])).
% 9.84/7.36 tff(49105,plain,
% 9.84/7.36 ((~xuntil6(s440)) | until5(s441)),
% 9.84/7.36 inference(unit_resolution,[status(thm)],[49104, 44492, 141])).
% 9.84/7.36 tff(49106,plain,
% 9.84/7.36 (until5(s441)),
% 9.84/7.36 inference(unit_resolution,[status(thm)],[49105, 49101])).
% 9.84/7.36 tff(49107,plain,
% 9.84/7.36 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s441) | (~node4(s441)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s441) | (~node4(s441)))),
% 9.84/7.36 inference(rewrite,[status(thm)],[])).
% 9.84/7.36 tff(49108,plain,
% 9.84/7.36 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s441) | (~node4(s441)))),
% 9.84/7.36 inference(quant_inst,[status(thm)],[])).
% 9.84/7.36 tff(49109,plain,
% 9.84/7.36 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s441) | (~node4(s441))),
% 9.84/7.36 inference(modus_ponens,[status(thm)],[49108, 49107])).
% 9.84/7.36 tff(49110,plain,
% 9.84/7.36 (~node4(s441)),
% 9.84/7.36 inference(unit_resolution,[status(thm)],[49109, 22, 44489])).
% 9.84/7.36 tff(49111,plain,
% 9.84/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s441) | node4(s441) | (~until5(s441)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s441) | node4(s441) | (~until5(s441)))),
% 9.84/7.36 inference(rewrite,[status(thm)],[])).
% 9.84/7.36 tff(49112,plain,
% 9.84/7.36 ((node4(s441) | (~until5(s441)) | xuntil6(s441)) <=> (xuntil6(s441) | node4(s441) | (~until5(s441)))),
% 9.84/7.36 inference(rewrite,[status(thm)],[])).
% 9.84/7.36 tff(49113,plain,
% 9.84/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s441) | (~until5(s441)) | xuntil6(s441))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s441) | node4(s441) | (~until5(s441))))),
% 9.84/7.36 inference(monotonicity,[status(thm)],[49112])).
% 9.84/7.36 tff(49114,plain,
% 9.84/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s441) | (~until5(s441)) | xuntil6(s441))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s441) | node4(s441) | (~until5(s441)))),
% 9.84/7.36 inference(transitivity,[status(thm)],[49113, 49111])).
% 9.84/7.36 tff(49115,plain,
% 9.84/7.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s441) | (~until5(s441)) | xuntil6(s441))),
% 9.84/7.36 inference(quant_inst,[status(thm)],[])).
% 9.84/7.36 tff(49116,plain,
% 9.84/7.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s441) | node4(s441) | (~until5(s441))),
% 9.84/7.36 inference(modus_ponens,[status(thm)],[49115, 49114])).
% 9.84/7.36 tff(49117,plain,
% 9.84/7.36 (xuntil6(s441) | (~until5(s441))),
% 9.84/7.36 inference(unit_resolution,[status(thm)],[49116, 36, 49110])).
% 9.84/7.36 tff(49118,plain,
% 9.84/7.36 (xuntil6(s441)),
% 9.84/7.36 inference(unit_resolution,[status(thm)],[49117, 49106])).
% 9.84/7.36 tff(49119,plain,
% 9.84/7.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s441, s442)) | (~xuntil6(s441)) | until5(s442))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s441, s442)) | (~xuntil6(s441)) | until5(s442))),
% 9.84/7.36 inference(rewrite,[status(thm)],[])).
% 9.84/7.36 tff(49120,plain,
% 9.84/7.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s441, s442)) | (~xuntil6(s441)) | until5(s442))),
% 9.84/7.36 inference(quant_inst,[status(thm)],[])).
% 9.84/7.36 tff(49121,plain,
% 9.84/7.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s441, s442)) | (~xuntil6(s441)) | until5(s442)),
% 9.84/7.36 inference(modus_ponens,[status(thm)],[49120, 49119])).
% 9.84/7.36 tff(49122,plain,
% 9.84/7.36 ((~xuntil6(s441)) | until5(s442)),
% 9.84/7.36 inference(unit_resolution,[status(thm)],[49121, 44480, 141])).
% 9.84/7.36 tff(49123,plain,
% 9.84/7.36 (until5(s442)),
% 9.84/7.36 inference(unit_resolution,[status(thm)],[49122, 49118])).
% 9.84/7.36 tff(49124,plain,
% 9.84/7.36 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s442) | (~node4(s442)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s442) | (~node4(s442)))),
% 9.84/7.36 inference(rewrite,[status(thm)],[])).
% 9.84/7.36 tff(49125,plain,
% 9.84/7.36 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s442) | (~node4(s442)))),
% 9.84/7.36 inference(quant_inst,[status(thm)],[])).
% 9.84/7.36 tff(49126,plain,
% 9.84/7.36 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s442) | (~node4(s442))),
% 9.84/7.36 inference(modus_ponens,[status(thm)],[49125, 49124])).
% 9.84/7.36 tff(49127,plain,
% 9.84/7.36 (~node4(s442)),
% 9.84/7.36 inference(unit_resolution,[status(thm)],[49126, 22, 44477])).
% 9.84/7.36 tff(49128,plain,
% 9.84/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s442) | node4(s442) | (~until5(s442)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s442) | node4(s442) | (~until5(s442)))),
% 9.84/7.36 inference(rewrite,[status(thm)],[])).
% 9.84/7.36 tff(49129,plain,
% 9.84/7.36 ((node4(s442) | (~until5(s442)) | xuntil6(s442)) <=> (xuntil6(s442) | node4(s442) | (~until5(s442)))),
% 9.84/7.36 inference(rewrite,[status(thm)],[])).
% 9.84/7.36 tff(49130,plain,
% 9.84/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s442) | (~until5(s442)) | xuntil6(s442))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s442) | node4(s442) | (~until5(s442))))),
% 9.92/7.36 inference(monotonicity,[status(thm)],[49129])).
% 9.92/7.36 tff(49131,plain,
% 9.92/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s442) | (~until5(s442)) | xuntil6(s442))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s442) | node4(s442) | (~until5(s442)))),
% 9.92/7.36 inference(transitivity,[status(thm)],[49130, 49128])).
% 9.92/7.36 tff(49132,plain,
% 9.92/7.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s442) | (~until5(s442)) | xuntil6(s442))),
% 9.92/7.36 inference(quant_inst,[status(thm)],[])).
% 9.92/7.36 tff(49133,plain,
% 9.92/7.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s442) | node4(s442) | (~until5(s442))),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49132, 49131])).
% 9.92/7.36 tff(49134,plain,
% 9.92/7.36 (xuntil6(s442) | (~until5(s442))),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49133, 36, 49127])).
% 9.92/7.36 tff(49135,plain,
% 9.92/7.36 (xuntil6(s442)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49134, 49123])).
% 9.92/7.36 tff(49136,plain,
% 9.92/7.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s442, s443)) | (~xuntil6(s442)) | until5(s443))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s442, s443)) | (~xuntil6(s442)) | until5(s443))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49137,plain,
% 9.92/7.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s442, s443)) | (~xuntil6(s442)) | until5(s443))),
% 9.92/7.36 inference(quant_inst,[status(thm)],[])).
% 9.92/7.36 tff(49138,plain,
% 9.92/7.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s442, s443)) | (~xuntil6(s442)) | until5(s443)),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49137, 49136])).
% 9.92/7.36 tff(49139,plain,
% 9.92/7.36 ((~xuntil6(s442)) | until5(s443)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49138, 44468, 141])).
% 9.92/7.36 tff(49140,plain,
% 9.92/7.36 (until5(s443)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49139, 49135])).
% 9.92/7.36 tff(49141,plain,
% 9.92/7.36 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s443) | (~node4(s443)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s443) | (~node4(s443)))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49142,plain,
% 9.92/7.36 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s443) | (~node4(s443)))),
% 9.92/7.36 inference(quant_inst,[status(thm)],[])).
% 9.92/7.36 tff(49143,plain,
% 9.92/7.36 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s443) | (~node4(s443))),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49142, 49141])).
% 9.92/7.36 tff(49144,plain,
% 9.92/7.36 (~node4(s443)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49143, 22, 44465])).
% 9.92/7.36 tff(49145,plain,
% 9.92/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s443) | node4(s443) | (~until5(s443)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s443) | node4(s443) | (~until5(s443)))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49146,plain,
% 9.92/7.36 ((node4(s443) | (~until5(s443)) | xuntil6(s443)) <=> (xuntil6(s443) | node4(s443) | (~until5(s443)))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49147,plain,
% 9.92/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s443) | (~until5(s443)) | xuntil6(s443))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s443) | node4(s443) | (~until5(s443))))),
% 9.92/7.36 inference(monotonicity,[status(thm)],[49146])).
% 9.92/7.36 tff(49148,plain,
% 9.92/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s443) | (~until5(s443)) | xuntil6(s443))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s443) | node4(s443) | (~until5(s443)))),
% 9.92/7.36 inference(transitivity,[status(thm)],[49147, 49145])).
% 9.92/7.36 tff(49149,plain,
% 9.92/7.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s443) | (~until5(s443)) | xuntil6(s443))),
% 9.92/7.36 inference(quant_inst,[status(thm)],[])).
% 9.92/7.36 tff(49150,plain,
% 9.92/7.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s443) | node4(s443) | (~until5(s443))),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49149, 49148])).
% 9.92/7.36 tff(49151,plain,
% 9.92/7.36 (xuntil6(s443) | (~until5(s443))),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49150, 36, 49144])).
% 9.92/7.36 tff(49152,plain,
% 9.92/7.36 (xuntil6(s443)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49151, 49140])).
% 9.92/7.36 tff(49153,plain,
% 9.92/7.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s443, s444)) | (~xuntil6(s443)) | until5(s444))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s443, s444)) | (~xuntil6(s443)) | until5(s444))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49154,plain,
% 9.92/7.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s443, s444)) | (~xuntil6(s443)) | until5(s444))),
% 9.92/7.36 inference(quant_inst,[status(thm)],[])).
% 9.92/7.36 tff(49155,plain,
% 9.92/7.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s443, s444)) | (~xuntil6(s443)) | until5(s444)),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49154, 49153])).
% 9.92/7.36 tff(49156,plain,
% 9.92/7.36 ((~xuntil6(s443)) | until5(s444)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49155, 44456, 141])).
% 9.92/7.36 tff(49157,plain,
% 9.92/7.36 (until5(s444)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49156, 49152])).
% 9.92/7.36 tff(49158,plain,
% 9.92/7.36 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s444) | (~node4(s444)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s444) | (~node4(s444)))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49159,plain,
% 9.92/7.36 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s444) | (~node4(s444)))),
% 9.92/7.36 inference(quant_inst,[status(thm)],[])).
% 9.92/7.36 tff(49160,plain,
% 9.92/7.36 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s444) | (~node4(s444))),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49159, 49158])).
% 9.92/7.36 tff(49161,plain,
% 9.92/7.36 (~node4(s444)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49160, 22, 44453])).
% 9.92/7.36 tff(49162,plain,
% 9.92/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s444) | node4(s444) | (~until5(s444)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s444) | node4(s444) | (~until5(s444)))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49163,plain,
% 9.92/7.36 ((node4(s444) | (~until5(s444)) | xuntil6(s444)) <=> (xuntil6(s444) | node4(s444) | (~until5(s444)))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49164,plain,
% 9.92/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s444) | (~until5(s444)) | xuntil6(s444))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s444) | node4(s444) | (~until5(s444))))),
% 9.92/7.36 inference(monotonicity,[status(thm)],[49163])).
% 9.92/7.36 tff(49165,plain,
% 9.92/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s444) | (~until5(s444)) | xuntil6(s444))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s444) | node4(s444) | (~until5(s444)))),
% 9.92/7.36 inference(transitivity,[status(thm)],[49164, 49162])).
% 9.92/7.36 tff(49166,plain,
% 9.92/7.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s444) | (~until5(s444)) | xuntil6(s444))),
% 9.92/7.36 inference(quant_inst,[status(thm)],[])).
% 9.92/7.36 tff(49167,plain,
% 9.92/7.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s444) | node4(s444) | (~until5(s444))),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49166, 49165])).
% 9.92/7.36 tff(49168,plain,
% 9.92/7.36 (xuntil6(s444) | (~until5(s444))),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49167, 36, 49161])).
% 9.92/7.36 tff(49169,plain,
% 9.92/7.36 (xuntil6(s444)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49168, 49157])).
% 9.92/7.36 tff(49170,plain,
% 9.92/7.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s444, s445)) | (~xuntil6(s444)) | until5(s445))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s444, s445)) | (~xuntil6(s444)) | until5(s445))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49171,plain,
% 9.92/7.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s444, s445)) | (~xuntil6(s444)) | until5(s445))),
% 9.92/7.36 inference(quant_inst,[status(thm)],[])).
% 9.92/7.36 tff(49172,plain,
% 9.92/7.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s444, s445)) | (~xuntil6(s444)) | until5(s445)),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49171, 49170])).
% 9.92/7.36 tff(49173,plain,
% 9.92/7.36 ((~xuntil6(s444)) | until5(s445)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49172, 44444, 141])).
% 9.92/7.36 tff(49174,plain,
% 9.92/7.36 (until5(s445)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49173, 49169])).
% 9.92/7.36 tff(49175,plain,
% 9.92/7.36 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s445) | (~node4(s445)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s445) | (~node4(s445)))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49176,plain,
% 9.92/7.36 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s445) | (~node4(s445)))),
% 9.92/7.36 inference(quant_inst,[status(thm)],[])).
% 9.92/7.36 tff(49177,plain,
% 9.92/7.36 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s445) | (~node4(s445))),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49176, 49175])).
% 9.92/7.36 tff(49178,plain,
% 9.92/7.36 (~node4(s445)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49177, 22, 44441])).
% 9.92/7.36 tff(49179,plain,
% 9.92/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s445) | node4(s445) | (~until5(s445)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s445) | node4(s445) | (~until5(s445)))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49180,plain,
% 9.92/7.36 ((node4(s445) | (~until5(s445)) | xuntil6(s445)) <=> (xuntil6(s445) | node4(s445) | (~until5(s445)))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49181,plain,
% 9.92/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s445) | (~until5(s445)) | xuntil6(s445))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s445) | node4(s445) | (~until5(s445))))),
% 9.92/7.36 inference(monotonicity,[status(thm)],[49180])).
% 9.92/7.36 tff(49182,plain,
% 9.92/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s445) | (~until5(s445)) | xuntil6(s445))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s445) | node4(s445) | (~until5(s445)))),
% 9.92/7.36 inference(transitivity,[status(thm)],[49181, 49179])).
% 9.92/7.36 tff(49183,plain,
% 9.92/7.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s445) | (~until5(s445)) | xuntil6(s445))),
% 9.92/7.36 inference(quant_inst,[status(thm)],[])).
% 9.92/7.36 tff(49184,plain,
% 9.92/7.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s445) | node4(s445) | (~until5(s445))),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49183, 49182])).
% 9.92/7.36 tff(49185,plain,
% 9.92/7.36 (xuntil6(s445) | (~until5(s445))),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49184, 36, 49178])).
% 9.92/7.36 tff(49186,plain,
% 9.92/7.36 (xuntil6(s445)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49185, 49174])).
% 9.92/7.36 tff(49187,plain,
% 9.92/7.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s445, s446)) | (~xuntil6(s445)) | until5(s446))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s445, s446)) | (~xuntil6(s445)) | until5(s446))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49188,plain,
% 9.92/7.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s445, s446)) | (~xuntil6(s445)) | until5(s446))),
% 9.92/7.36 inference(quant_inst,[status(thm)],[])).
% 9.92/7.36 tff(49189,plain,
% 9.92/7.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s445, s446)) | (~xuntil6(s445)) | until5(s446)),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49188, 49187])).
% 9.92/7.36 tff(49190,plain,
% 9.92/7.36 ((~xuntil6(s445)) | until5(s446)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49189, 44432, 141])).
% 9.92/7.36 tff(49191,plain,
% 9.92/7.36 (until5(s446)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49190, 49186])).
% 9.92/7.36 tff(49192,plain,
% 9.92/7.36 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s446) | (~node4(s446)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s446) | (~node4(s446)))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49193,plain,
% 9.92/7.36 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s446) | (~node4(s446)))),
% 9.92/7.36 inference(quant_inst,[status(thm)],[])).
% 9.92/7.36 tff(49194,plain,
% 9.92/7.36 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s446) | (~node4(s446))),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49193, 49192])).
% 9.92/7.36 tff(49195,plain,
% 9.92/7.36 (~node4(s446)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49194, 22, 44429])).
% 9.92/7.36 tff(49196,plain,
% 9.92/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s446) | node4(s446) | (~until5(s446)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s446) | node4(s446) | (~until5(s446)))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49197,plain,
% 9.92/7.36 ((node4(s446) | (~until5(s446)) | xuntil6(s446)) <=> (xuntil6(s446) | node4(s446) | (~until5(s446)))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49198,plain,
% 9.92/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s446) | (~until5(s446)) | xuntil6(s446))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s446) | node4(s446) | (~until5(s446))))),
% 9.92/7.36 inference(monotonicity,[status(thm)],[49197])).
% 9.92/7.36 tff(49199,plain,
% 9.92/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s446) | (~until5(s446)) | xuntil6(s446))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s446) | node4(s446) | (~until5(s446)))),
% 9.92/7.36 inference(transitivity,[status(thm)],[49198, 49196])).
% 9.92/7.36 tff(49200,plain,
% 9.92/7.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s446) | (~until5(s446)) | xuntil6(s446))),
% 9.92/7.36 inference(quant_inst,[status(thm)],[])).
% 9.92/7.36 tff(49201,plain,
% 9.92/7.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s446) | node4(s446) | (~until5(s446))),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49200, 49199])).
% 9.92/7.36 tff(49202,plain,
% 9.92/7.36 (xuntil6(s446) | (~until5(s446))),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49201, 36, 49195])).
% 9.92/7.36 tff(49203,plain,
% 9.92/7.36 (xuntil6(s446)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49202, 49191])).
% 9.92/7.36 tff(49204,plain,
% 9.92/7.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s446, s447)) | (~xuntil6(s446)) | until5(s447))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s446, s447)) | (~xuntil6(s446)) | until5(s447))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49205,plain,
% 9.92/7.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s446, s447)) | (~xuntil6(s446)) | until5(s447))),
% 9.92/7.36 inference(quant_inst,[status(thm)],[])).
% 9.92/7.36 tff(49206,plain,
% 9.92/7.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s446, s447)) | (~xuntil6(s446)) | until5(s447)),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49205, 49204])).
% 9.92/7.36 tff(49207,plain,
% 9.92/7.36 ((~xuntil6(s446)) | until5(s447)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49206, 44420, 141])).
% 9.92/7.36 tff(49208,plain,
% 9.92/7.36 (until5(s447)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49207, 49203])).
% 9.92/7.36 tff(49209,plain,
% 9.92/7.36 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s447) | (~node4(s447)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s447) | (~node4(s447)))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49210,plain,
% 9.92/7.36 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s447) | (~node4(s447)))),
% 9.92/7.36 inference(quant_inst,[status(thm)],[])).
% 9.92/7.36 tff(49211,plain,
% 9.92/7.36 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s447) | (~node4(s447))),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49210, 49209])).
% 9.92/7.36 tff(49212,plain,
% 9.92/7.36 (~node4(s447)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49211, 22, 44417])).
% 9.92/7.36 tff(49213,plain,
% 9.92/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s447) | node4(s447) | (~until5(s447)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s447) | node4(s447) | (~until5(s447)))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49214,plain,
% 9.92/7.36 ((node4(s447) | (~until5(s447)) | xuntil6(s447)) <=> (xuntil6(s447) | node4(s447) | (~until5(s447)))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49215,plain,
% 9.92/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s447) | (~until5(s447)) | xuntil6(s447))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s447) | node4(s447) | (~until5(s447))))),
% 9.92/7.36 inference(monotonicity,[status(thm)],[49214])).
% 9.92/7.36 tff(49216,plain,
% 9.92/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s447) | (~until5(s447)) | xuntil6(s447))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s447) | node4(s447) | (~until5(s447)))),
% 9.92/7.36 inference(transitivity,[status(thm)],[49215, 49213])).
% 9.92/7.36 tff(49217,plain,
% 9.92/7.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s447) | (~until5(s447)) | xuntil6(s447))),
% 9.92/7.36 inference(quant_inst,[status(thm)],[])).
% 9.92/7.36 tff(49218,plain,
% 9.92/7.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s447) | node4(s447) | (~until5(s447))),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49217, 49216])).
% 9.92/7.36 tff(49219,plain,
% 9.92/7.36 (xuntil6(s447) | (~until5(s447))),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49218, 36, 49212])).
% 9.92/7.36 tff(49220,plain,
% 9.92/7.36 (xuntil6(s447)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49219, 49208])).
% 9.92/7.36 tff(49221,plain,
% 9.92/7.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s447, s448)) | (~xuntil6(s447)) | until5(s448))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s447, s448)) | (~xuntil6(s447)) | until5(s448))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49222,plain,
% 9.92/7.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s447, s448)) | (~xuntil6(s447)) | until5(s448))),
% 9.92/7.36 inference(quant_inst,[status(thm)],[])).
% 9.92/7.36 tff(49223,plain,
% 9.92/7.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s447, s448)) | (~xuntil6(s447)) | until5(s448)),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49222, 49221])).
% 9.92/7.36 tff(49224,plain,
% 9.92/7.36 ((~xuntil6(s447)) | until5(s448)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49223, 44408, 141])).
% 9.92/7.36 tff(49225,plain,
% 9.92/7.36 (until5(s448)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49224, 49220])).
% 9.92/7.36 tff(49226,plain,
% 9.92/7.36 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s448) | (~node4(s448)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s448) | (~node4(s448)))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49227,plain,
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% 9.92/7.36 inference(quant_inst,[status(thm)],[])).
% 9.92/7.36 tff(49228,plain,
% 9.92/7.36 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s448) | (~node4(s448))),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49227, 49226])).
% 9.92/7.36 tff(49229,plain,
% 9.92/7.36 (~node4(s448)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49228, 22, 44405])).
% 9.92/7.36 tff(49230,plain,
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% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49231,plain,
% 9.92/7.36 ((node4(s448) | (~until5(s448)) | xuntil6(s448)) <=> (xuntil6(s448) | node4(s448) | (~until5(s448)))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49232,plain,
% 9.92/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s448) | (~until5(s448)) | xuntil6(s448))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s448) | node4(s448) | (~until5(s448))))),
% 9.92/7.36 inference(monotonicity,[status(thm)],[49231])).
% 9.92/7.36 tff(49233,plain,
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% 9.92/7.36 inference(transitivity,[status(thm)],[49232, 49230])).
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% 9.92/7.36 inference(quant_inst,[status(thm)],[])).
% 9.92/7.36 tff(49235,plain,
% 9.92/7.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s448) | node4(s448) | (~until5(s448))),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49234, 49233])).
% 9.92/7.36 tff(49236,plain,
% 9.92/7.36 (xuntil6(s448) | (~until5(s448))),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49235, 36, 49229])).
% 9.92/7.36 tff(49237,plain,
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% 9.92/7.36 inference(unit_resolution,[status(thm)],[49236, 49225])).
% 9.92/7.36 tff(49238,plain,
% 9.92/7.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s448, s449)) | (~xuntil6(s448)) | until5(s449))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s448, s449)) | (~xuntil6(s448)) | until5(s449))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49239,plain,
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% 9.92/7.36 inference(quant_inst,[status(thm)],[])).
% 9.92/7.36 tff(49240,plain,
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% 9.92/7.36 inference(modus_ponens,[status(thm)],[49239, 49238])).
% 9.92/7.36 tff(49241,plain,
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% 9.92/7.36 inference(unit_resolution,[status(thm)],[49240, 44393, 141])).
% 9.92/7.36 tff(49242,plain,
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% 9.92/7.36 inference(unit_resolution,[status(thm)],[49241, 49237])).
% 9.92/7.36 tff(49243,plain,
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% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49244,plain,
% 9.92/7.36 ((node4(s449) | (~until5(s449)) | xuntil6(s449)) <=> (xuntil6(s449) | node4(s449) | (~until5(s449)))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49245,plain,
% 9.92/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s449) | (~until5(s449)) | xuntil6(s449))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s449) | node4(s449) | (~until5(s449))))),
% 9.92/7.36 inference(monotonicity,[status(thm)],[49244])).
% 9.92/7.36 tff(49246,plain,
% 9.92/7.36 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s449) | (~until5(s449)) | xuntil6(s449))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s449) | node4(s449) | (~until5(s449)))),
% 9.92/7.36 inference(transitivity,[status(thm)],[49245, 49243])).
% 9.92/7.36 tff(49247,plain,
% 9.92/7.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s449) | (~until5(s449)) | xuntil6(s449))),
% 9.92/7.36 inference(quant_inst,[status(thm)],[])).
% 9.92/7.36 tff(49248,plain,
% 9.92/7.36 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s449) | node4(s449) | (~until5(s449))),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49247, 49246])).
% 9.92/7.36 tff(49249,plain,
% 9.92/7.36 ($false),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49248, 36, 49242, 49021, 49020])).
% 9.92/7.36 tff(49250,plain,(always3(s449) | xuntil6(s449) | (~until5(s436))), inference(lemma,lemma(discharge,[]))).
% 9.92/7.36 tff(49251,plain,
% 9.92/7.36 (xuntil6(s449)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49250, 49013, 44390])).
% 9.92/7.36 tff(49252,assumption,(node4(s448)), introduced(assumption)).
% 9.92/7.36 tff(49253,assumption,(~always3(s448)), introduced(assumption)).
% 9.92/7.36 tff(49254,plain,
% 9.92/7.36 ($false),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49228, 22, 49253, 49252])).
% 9.92/7.36 tff(49255,plain,((~node4(s448)) | always3(s448)), inference(lemma,lemma(discharge,[]))).
% 9.92/7.36 tff(49256,plain,
% 9.92/7.36 (~node4(s448)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49255, 44405])).
% 9.92/7.36 tff(49257,plain,
% 9.92/7.36 (^[X: $i] : refl(((~last(X)) | (~xuntil2p8(X))) <=> ((~last(X)) | (~xuntil2p8(X))))),
% 9.92/7.36 inference(bind,[status(th)],[])).
% 9.92/7.36 tff(49258,plain,
% 9.92/7.36 (![X: $i] : ((~last(X)) | (~xuntil2p8(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 9.92/7.36 inference(quant_intro,[status(thm)],[49257])).
% 9.92/7.36 tff(49259,plain,
% 9.92/7.36 (![X: $i] : ((~last(X)) | (~xuntil2p8(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49260,axiom,(![X: $i] : ((~last(X)) | (~xuntil2p8(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty12')).
% 9.92/7.36 tff(49261,plain,
% 9.92/7.36 (![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49260, 49259])).
% 9.92/7.36 tff(49262,plain,(
% 9.92/7.36 ![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 9.92/7.36 inference(skolemize,[status(sab)],[49261])).
% 9.92/7.36 tff(49263,plain,
% 9.92/7.36 (![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49262, 49258])).
% 9.92/7.36 tff(49264,plain,
% 9.92/7.36 (last(s449) <=> last(s449)),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49265,axiom,(last(s449)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound450')).
% 9.92/7.36 tff(49266,plain,
% 9.92/7.36 (last(s449)),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49265, 49264])).
% 9.92/7.36 tff(49267,plain,
% 9.92/7.36 (((~![X: $i] : ((~last(X)) | (~xuntil2p8(X)))) | ((~last(s449)) | (~xuntil2p8(s449)))) <=> ((~![X: $i] : ((~last(X)) | (~xuntil2p8(X)))) | (~last(s449)) | (~xuntil2p8(s449)))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49268,plain,
% 9.92/7.36 ((~![X: $i] : ((~last(X)) | (~xuntil2p8(X)))) | ((~last(s449)) | (~xuntil2p8(s449)))),
% 9.92/7.36 inference(quant_inst,[status(thm)],[])).
% 9.92/7.36 tff(49269,plain,
% 9.92/7.36 ((~![X: $i] : ((~last(X)) | (~xuntil2p8(X)))) | (~last(s449)) | (~xuntil2p8(s449))),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49268, 49267])).
% 9.92/7.36 tff(49270,plain,
% 9.92/7.36 (~xuntil2p8(s449)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49269, 49266, 49263])).
% 9.92/7.36 tff(49271,plain,
% 9.92/7.36 (^[X: $i] : refl((node4(X) | xuntil2p8(X) | (~until2p7(X))) <=> (node4(X) | xuntil2p8(X) | (~until2p7(X))))),
% 9.92/7.36 inference(bind,[status(th)],[])).
% 9.92/7.36 tff(49272,plain,
% 9.92/7.36 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X))) <=> ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 9.92/7.36 inference(quant_intro,[status(thm)],[49271])).
% 9.92/7.36 tff(49273,plain,
% 9.92/7.36 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X))) <=> ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49274,plain,
% 9.92/7.36 (^[X: $i] : rewrite(((node4(X) | xuntil2p8(X)) | (~until2p7(X))) <=> (node4(X) | xuntil2p8(X) | (~until2p7(X))))),
% 9.92/7.36 inference(bind,[status(th)],[])).
% 9.92/7.36 tff(49275,plain,
% 9.92/7.36 (![X: $i] : ((node4(X) | xuntil2p8(X)) | (~until2p7(X))) <=> ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 9.92/7.36 inference(quant_intro,[status(thm)],[49274])).
% 9.92/7.36 tff(49276,axiom,(![X: $i] : ((node4(X) | xuntil2p8(X)) | (~until2p7(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty10')).
% 9.92/7.36 tff(49277,plain,
% 9.92/7.36 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49276, 49275])).
% 9.92/7.36 tff(49278,plain,
% 9.92/7.36 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49277, 49273])).
% 9.92/7.36 tff(49279,plain,(
% 9.92/7.36 ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 9.92/7.36 inference(skolemize,[status(sab)],[49278])).
% 9.92/7.36 tff(49280,plain,
% 9.92/7.36 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49279, 49272])).
% 9.92/7.36 tff(49281,plain,
% 9.92/7.36 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s449) | xuntil2p8(s449) | (~until2p7(s449)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s449) | xuntil2p8(s449) | (~until2p7(s449)))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49282,plain,
% 9.92/7.36 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s449) | xuntil2p8(s449) | (~until2p7(s449)))),
% 9.92/7.36 inference(quant_inst,[status(thm)],[])).
% 9.92/7.36 tff(49283,plain,
% 9.92/7.36 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s449) | xuntil2p8(s449) | (~until2p7(s449))),
% 9.92/7.36 inference(modus_ponens,[status(thm)],[49282, 49281])).
% 9.92/7.36 tff(49284,plain,
% 9.92/7.36 (node4(s449) | (~until2p7(s449))),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49283, 49280, 49270])).
% 9.92/7.36 tff(49285,plain,
% 9.92/7.36 (~until2p7(s449)),
% 9.92/7.36 inference(unit_resolution,[status(thm)],[49284, 49020])).
% 9.92/7.36 tff(49286,plain,
% 9.92/7.36 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))) <=> ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))))),
% 9.92/7.36 inference(bind,[status(th)],[])).
% 9.92/7.36 tff(49287,plain,
% 9.92/7.36 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 9.92/7.36 inference(quant_intro,[status(thm)],[49286])).
% 9.92/7.36 tff(49288,plain,
% 9.92/7.36 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 9.92/7.36 inference(rewrite,[status(thm)],[])).
% 9.92/7.36 tff(49289,plain,
% 9.92/7.36 (^[Y: $i, X: $i] : rewrite(((until2p7(Y) | (~succ(X, Y))) | (~xuntil2p8(X))) <=> ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))))),
% 9.92/7.36 inference(bind,[status(th)],[])).
% 9.92/7.36 tff(49290,plain,
% 9.92/7.36 (![Y: $i, X: $i] : ((until2p7(Y) | (~succ(X, Y))) | (~xuntil2p8(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 9.92/7.36 inference(quant_intro,[status(thm)],[49289])).
% 9.92/7.36 tff(49291,axiom,(![Y: $i, X: $i] : ((until2p7(Y) | (~succ(X, Y))) | (~xuntil2p8(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty11')).
% 9.92/7.37 tff(49292,plain,
% 9.92/7.37 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49291, 49290])).
% 9.92/7.37 tff(49293,plain,
% 9.92/7.37 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49292, 49288])).
% 9.92/7.37 tff(49294,plain,(
% 9.92/7.37 ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 9.92/7.37 inference(skolemize,[status(sab)],[49293])).
% 9.92/7.37 tff(49295,plain,
% 9.92/7.37 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49294, 49287])).
% 9.92/7.37 tff(49296,plain,
% 9.92/7.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s448, s449)) | until2p7(s449) | (~xuntil2p8(s448)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s448, s449)) | until2p7(s449) | (~xuntil2p8(s448)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49297,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s448, s449)) | until2p7(s449) | (~xuntil2p8(s448)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49298,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s448, s449)) | until2p7(s449) | (~xuntil2p8(s448))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49297, 49296])).
% 9.92/7.37 tff(49299,plain,
% 9.92/7.37 (until2p7(s449) | (~xuntil2p8(s448))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49298, 44393, 49295])).
% 9.92/7.37 tff(49300,plain,
% 9.92/7.37 (~xuntil2p8(s448)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49299, 49285])).
% 9.92/7.37 tff(49301,plain,
% 9.92/7.37 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s448) | xuntil2p8(s448) | (~until2p7(s448)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s448) | xuntil2p8(s448) | (~until2p7(s448)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49302,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s448) | xuntil2p8(s448) | (~until2p7(s448)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49303,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s448) | xuntil2p8(s448) | (~until2p7(s448))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49302, 49301])).
% 9.92/7.37 tff(49304,plain,
% 9.92/7.37 (~until2p7(s448)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49303, 49280, 49300, 49256])).
% 9.92/7.37 tff(49305,plain,
% 9.92/7.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s447, s448)) | until2p7(s448) | (~xuntil2p8(s447)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s447, s448)) | until2p7(s448) | (~xuntil2p8(s447)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49306,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s447, s448)) | until2p7(s448) | (~xuntil2p8(s447)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49307,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s447, s448)) | until2p7(s448) | (~xuntil2p8(s447))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49306, 49305])).
% 9.92/7.37 tff(49308,plain,
% 9.92/7.37 (until2p7(s448) | (~xuntil2p8(s447))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49307, 44408, 49295])).
% 9.92/7.37 tff(49309,plain,
% 9.92/7.37 (~xuntil2p8(s447)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49308, 49304])).
% 9.92/7.37 tff(49310,plain,
% 9.92/7.37 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s447) | xuntil2p8(s447) | (~until2p7(s447)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s447) | xuntil2p8(s447) | (~until2p7(s447)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49311,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s447) | xuntil2p8(s447) | (~until2p7(s447)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49312,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s447) | xuntil2p8(s447) | (~until2p7(s447))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49311, 49310])).
% 9.92/7.37 tff(49313,plain,
% 9.92/7.37 (~until2p7(s447)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49312, 49280, 49309, 49212])).
% 9.92/7.37 tff(49314,plain,
% 9.92/7.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s446, s447)) | until2p7(s447) | (~xuntil2p8(s446)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s446, s447)) | until2p7(s447) | (~xuntil2p8(s446)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49315,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s446, s447)) | until2p7(s447) | (~xuntil2p8(s446)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49316,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s446, s447)) | until2p7(s447) | (~xuntil2p8(s446))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49315, 49314])).
% 9.92/7.37 tff(49317,plain,
% 9.92/7.37 (until2p7(s447) | (~xuntil2p8(s446))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49316, 44420, 49295])).
% 9.92/7.37 tff(49318,plain,
% 9.92/7.37 (~xuntil2p8(s446)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49317, 49313])).
% 9.92/7.37 tff(49319,plain,
% 9.92/7.37 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s446) | xuntil2p8(s446) | (~until2p7(s446)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s446) | xuntil2p8(s446) | (~until2p7(s446)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49320,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s446) | xuntil2p8(s446) | (~until2p7(s446)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49321,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s446) | xuntil2p8(s446) | (~until2p7(s446))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49320, 49319])).
% 9.92/7.37 tff(49322,plain,
% 9.92/7.37 (xuntil2p8(s446) | (~until2p7(s446))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49321, 49280, 49195])).
% 9.92/7.37 tff(49323,plain,
% 9.92/7.37 (~until2p7(s446)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49322, 49318])).
% 9.92/7.37 tff(49324,plain,
% 9.92/7.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s445, s446)) | until2p7(s446) | (~xuntil2p8(s445)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s445, s446)) | until2p7(s446) | (~xuntil2p8(s445)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49325,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s445, s446)) | until2p7(s446) | (~xuntil2p8(s445)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49326,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s445, s446)) | until2p7(s446) | (~xuntil2p8(s445))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49325, 49324])).
% 9.92/7.37 tff(49327,plain,
% 9.92/7.37 (until2p7(s446) | (~xuntil2p8(s445))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49326, 44432, 49295])).
% 9.92/7.37 tff(49328,plain,
% 9.92/7.37 (~xuntil2p8(s445)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49327, 49323])).
% 9.92/7.37 tff(49329,plain,
% 9.92/7.37 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s445) | xuntil2p8(s445) | (~until2p7(s445)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s445) | xuntil2p8(s445) | (~until2p7(s445)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49330,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s445) | xuntil2p8(s445) | (~until2p7(s445)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49331,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s445) | xuntil2p8(s445) | (~until2p7(s445))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49330, 49329])).
% 9.92/7.37 tff(49332,plain,
% 9.92/7.37 (xuntil2p8(s445) | (~until2p7(s445))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49331, 49280, 49178])).
% 9.92/7.37 tff(49333,plain,
% 9.92/7.37 (~until2p7(s445)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49332, 49328])).
% 9.92/7.37 tff(49334,plain,
% 9.92/7.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s444, s445)) | until2p7(s445) | (~xuntil2p8(s444)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s444, s445)) | until2p7(s445) | (~xuntil2p8(s444)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49335,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s444, s445)) | until2p7(s445) | (~xuntil2p8(s444)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49336,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s444, s445)) | until2p7(s445) | (~xuntil2p8(s444))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49335, 49334])).
% 9.92/7.37 tff(49337,plain,
% 9.92/7.37 (until2p7(s445) | (~xuntil2p8(s444))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49336, 44444, 49295])).
% 9.92/7.37 tff(49338,plain,
% 9.92/7.37 (~xuntil2p8(s444)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49337, 49333])).
% 9.92/7.37 tff(49339,plain,
% 9.92/7.37 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s444) | xuntil2p8(s444) | (~until2p7(s444)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s444) | xuntil2p8(s444) | (~until2p7(s444)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49340,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s444) | xuntil2p8(s444) | (~until2p7(s444)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49341,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s444) | xuntil2p8(s444) | (~until2p7(s444))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49340, 49339])).
% 9.92/7.37 tff(49342,plain,
% 9.92/7.37 (xuntil2p8(s444) | (~until2p7(s444))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49341, 49280, 49161])).
% 9.92/7.37 tff(49343,plain,
% 9.92/7.37 (~until2p7(s444)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49342, 49338])).
% 9.92/7.37 tff(49344,plain,
% 9.92/7.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s443, s444)) | until2p7(s444) | (~xuntil2p8(s443)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s443, s444)) | until2p7(s444) | (~xuntil2p8(s443)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49345,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s443, s444)) | until2p7(s444) | (~xuntil2p8(s443)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49346,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s443, s444)) | until2p7(s444) | (~xuntil2p8(s443))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49345, 49344])).
% 9.92/7.37 tff(49347,plain,
% 9.92/7.37 (until2p7(s444) | (~xuntil2p8(s443))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49346, 44456, 49295])).
% 9.92/7.37 tff(49348,plain,
% 9.92/7.37 (~xuntil2p8(s443)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49347, 49343])).
% 9.92/7.37 tff(49349,plain,
% 9.92/7.37 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s443) | xuntil2p8(s443) | (~until2p7(s443)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s443) | xuntil2p8(s443) | (~until2p7(s443)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49350,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s443) | xuntil2p8(s443) | (~until2p7(s443)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49351,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s443) | xuntil2p8(s443) | (~until2p7(s443))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49350, 49349])).
% 9.92/7.37 tff(49352,plain,
% 9.92/7.37 (xuntil2p8(s443) | (~until2p7(s443))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49351, 49280, 49144])).
% 9.92/7.37 tff(49353,plain,
% 9.92/7.37 (~until2p7(s443)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49352, 49348])).
% 9.92/7.37 tff(49354,plain,
% 9.92/7.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s442, s443)) | until2p7(s443) | (~xuntil2p8(s442)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s442, s443)) | until2p7(s443) | (~xuntil2p8(s442)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49355,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s442, s443)) | until2p7(s443) | (~xuntil2p8(s442)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49356,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s442, s443)) | until2p7(s443) | (~xuntil2p8(s442))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49355, 49354])).
% 9.92/7.37 tff(49357,plain,
% 9.92/7.37 (until2p7(s443) | (~xuntil2p8(s442))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49356, 44468, 49295])).
% 9.92/7.37 tff(49358,plain,
% 9.92/7.37 (~xuntil2p8(s442)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49357, 49353])).
% 9.92/7.37 tff(49359,plain,
% 9.92/7.37 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s442) | xuntil2p8(s442) | (~until2p7(s442)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s442) | xuntil2p8(s442) | (~until2p7(s442)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49360,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s442) | xuntil2p8(s442) | (~until2p7(s442)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49361,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s442) | xuntil2p8(s442) | (~until2p7(s442))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49360, 49359])).
% 9.92/7.37 tff(49362,plain,
% 9.92/7.37 (xuntil2p8(s442) | (~until2p7(s442))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49361, 49280, 49127])).
% 9.92/7.37 tff(49363,plain,
% 9.92/7.37 (~until2p7(s442)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49362, 49358])).
% 9.92/7.37 tff(49364,plain,
% 9.92/7.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s441, s442)) | until2p7(s442) | (~xuntil2p8(s441)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s441, s442)) | until2p7(s442) | (~xuntil2p8(s441)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49365,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s441, s442)) | until2p7(s442) | (~xuntil2p8(s441)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49366,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s441, s442)) | until2p7(s442) | (~xuntil2p8(s441))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49365, 49364])).
% 9.92/7.37 tff(49367,plain,
% 9.92/7.37 (until2p7(s442) | (~xuntil2p8(s441))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49366, 44480, 49295])).
% 9.92/7.37 tff(49368,plain,
% 9.92/7.37 (~xuntil2p8(s441)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49367, 49363])).
% 9.92/7.37 tff(49369,plain,
% 9.92/7.37 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s441) | xuntil2p8(s441) | (~until2p7(s441)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s441) | xuntil2p8(s441) | (~until2p7(s441)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49370,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s441) | xuntil2p8(s441) | (~until2p7(s441)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49371,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s441) | xuntil2p8(s441) | (~until2p7(s441))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49370, 49369])).
% 9.92/7.37 tff(49372,plain,
% 9.92/7.37 (xuntil2p8(s441) | (~until2p7(s441))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49371, 49280, 49110])).
% 9.92/7.37 tff(49373,plain,
% 9.92/7.37 (~until2p7(s441)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49372, 49368])).
% 9.92/7.37 tff(49374,plain,
% 9.92/7.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s440, s441)) | until2p7(s441) | (~xuntil2p8(s440)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s440, s441)) | until2p7(s441) | (~xuntil2p8(s440)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49375,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s440, s441)) | until2p7(s441) | (~xuntil2p8(s440)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49376,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s440, s441)) | until2p7(s441) | (~xuntil2p8(s440))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49375, 49374])).
% 9.92/7.37 tff(49377,plain,
% 9.92/7.37 (until2p7(s441) | (~xuntil2p8(s440))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49376, 44492, 49295])).
% 9.92/7.37 tff(49378,plain,
% 9.92/7.37 (~xuntil2p8(s440)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49377, 49373])).
% 9.92/7.37 tff(49379,plain,
% 9.92/7.37 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s440) | xuntil2p8(s440) | (~until2p7(s440)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s440) | xuntil2p8(s440) | (~until2p7(s440)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49380,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s440) | xuntil2p8(s440) | (~until2p7(s440)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49381,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s440) | xuntil2p8(s440) | (~until2p7(s440))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49380, 49379])).
% 9.92/7.37 tff(49382,plain,
% 9.92/7.37 (xuntil2p8(s440) | (~until2p7(s440))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49381, 49280, 49093])).
% 9.92/7.37 tff(49383,plain,
% 9.92/7.37 (~until2p7(s440)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49382, 49378])).
% 9.92/7.37 tff(49384,plain,
% 9.92/7.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s439, s440)) | until2p7(s440) | (~xuntil2p8(s439)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s439, s440)) | until2p7(s440) | (~xuntil2p8(s439)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49385,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s439, s440)) | until2p7(s440) | (~xuntil2p8(s439)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49386,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s439, s440)) | until2p7(s440) | (~xuntil2p8(s439))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49385, 49384])).
% 9.92/7.37 tff(49387,plain,
% 9.92/7.37 (until2p7(s440) | (~xuntil2p8(s439))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49386, 44504, 49295])).
% 9.92/7.37 tff(49388,plain,
% 9.92/7.37 (~xuntil2p8(s439)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49387, 49383])).
% 9.92/7.37 tff(49389,plain,
% 9.92/7.37 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s439) | xuntil2p8(s439) | (~until2p7(s439)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s439) | xuntil2p8(s439) | (~until2p7(s439)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49390,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s439) | xuntil2p8(s439) | (~until2p7(s439)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49391,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s439) | xuntil2p8(s439) | (~until2p7(s439))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49390, 49389])).
% 9.92/7.37 tff(49392,plain,
% 9.92/7.37 (xuntil2p8(s439) | (~until2p7(s439))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49391, 49280, 49076])).
% 9.92/7.37 tff(49393,plain,
% 9.92/7.37 (~until2p7(s439)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49392, 49388])).
% 9.92/7.37 tff(49394,plain,
% 9.92/7.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s438, s439)) | until2p7(s439) | (~xuntil2p8(s438)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s438, s439)) | until2p7(s439) | (~xuntil2p8(s438)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49395,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s438, s439)) | until2p7(s439) | (~xuntil2p8(s438)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49396,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s438, s439)) | until2p7(s439) | (~xuntil2p8(s438))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49395, 49394])).
% 9.92/7.37 tff(49397,plain,
% 9.92/7.37 (until2p7(s439) | (~xuntil2p8(s438))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49396, 44516, 49295])).
% 9.92/7.37 tff(49398,plain,
% 9.92/7.37 (~xuntil2p8(s438)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49397, 49393])).
% 9.92/7.37 tff(49399,plain,
% 9.92/7.37 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s438) | xuntil2p8(s438) | (~until2p7(s438)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s438) | xuntil2p8(s438) | (~until2p7(s438)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49400,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s438) | xuntil2p8(s438) | (~until2p7(s438)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49401,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s438) | xuntil2p8(s438) | (~until2p7(s438))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49400, 49399])).
% 9.92/7.37 tff(49402,plain,
% 9.92/7.37 (xuntil2p8(s438) | (~until2p7(s438))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49401, 49280, 49059])).
% 9.92/7.37 tff(49403,plain,
% 9.92/7.37 (~until2p7(s438)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49402, 49398])).
% 9.92/7.37 tff(49404,plain,
% 9.92/7.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s437, s438)) | until2p7(s438) | (~xuntil2p8(s437)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s437, s438)) | until2p7(s438) | (~xuntil2p8(s437)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49405,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s437, s438)) | until2p7(s438) | (~xuntil2p8(s437)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49406,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s437, s438)) | until2p7(s438) | (~xuntil2p8(s437))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49405, 49404])).
% 9.92/7.37 tff(49407,plain,
% 9.92/7.37 (until2p7(s438) | (~xuntil2p8(s437))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49406, 44528, 49295])).
% 9.92/7.37 tff(49408,plain,
% 9.92/7.37 (~xuntil2p8(s437)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49407, 49403])).
% 9.92/7.37 tff(49409,plain,
% 9.92/7.37 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s437) | xuntil2p8(s437) | (~until2p7(s437)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s437) | xuntil2p8(s437) | (~until2p7(s437)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49410,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s437) | xuntil2p8(s437) | (~until2p7(s437)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49411,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s437) | xuntil2p8(s437) | (~until2p7(s437))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49410, 49409])).
% 9.92/7.37 tff(49412,plain,
% 9.92/7.37 (xuntil2p8(s437) | (~until2p7(s437))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49411, 49280, 49025])).
% 9.92/7.37 tff(49413,plain,
% 9.92/7.37 (~until2p7(s437)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49412, 49408])).
% 9.92/7.37 tff(49414,plain,
% 9.92/7.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s436, s437)) | until2p7(s437) | (~xuntil2p8(s436)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s436, s437)) | until2p7(s437) | (~xuntil2p8(s436)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49415,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s436, s437)) | until2p7(s437) | (~xuntil2p8(s436)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49416,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s436, s437)) | until2p7(s437) | (~xuntil2p8(s436))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49415, 49414])).
% 9.92/7.37 tff(49417,plain,
% 9.92/7.37 (until2p7(s437) | (~xuntil2p8(s436))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49416, 44540, 49295])).
% 9.92/7.37 tff(49418,plain,
% 9.92/7.37 (~xuntil2p8(s436)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49417, 49413])).
% 9.92/7.37 tff(49419,plain,
% 9.92/7.37 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s436) | xuntil2p8(s436) | (~until2p7(s436)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s436) | xuntil2p8(s436) | (~until2p7(s436)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49420,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s436) | xuntil2p8(s436) | (~until2p7(s436)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49421,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s436) | xuntil2p8(s436) | (~until2p7(s436))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49420, 49419])).
% 9.92/7.37 tff(49422,plain,
% 9.92/7.37 (xuntil2p8(s436) | (~until2p7(s436))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49421, 49280, 49029])).
% 9.92/7.37 tff(49423,plain,
% 9.92/7.37 (~until2p7(s436)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49422, 49418])).
% 9.92/7.37 tff(49424,plain,
% 9.92/7.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s435, s436)) | until2p7(s436) | (~xuntil2p8(s435)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s435, s436)) | until2p7(s436) | (~xuntil2p8(s435)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49425,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s435, s436)) | until2p7(s436) | (~xuntil2p8(s435)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49426,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s435, s436)) | until2p7(s436) | (~xuntil2p8(s435))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49425, 49424])).
% 9.92/7.37 tff(49427,plain,
% 9.92/7.37 (until2p7(s436) | (~xuntil2p8(s435))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49426, 44552, 49295])).
% 9.92/7.37 tff(49428,plain,
% 9.92/7.37 (~xuntil2p8(s435)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49427, 49423])).
% 9.92/7.37 tff(49429,plain,
% 9.92/7.37 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s435) | xuntil2p8(s435) | (~until2p7(s435)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s435) | xuntil2p8(s435) | (~until2p7(s435)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49430,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s435) | xuntil2p8(s435) | (~until2p7(s435)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49431,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s435) | xuntil2p8(s435) | (~until2p7(s435))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49430, 49429])).
% 9.92/7.37 tff(49432,plain,
% 9.92/7.37 (xuntil2p8(s435) | (~until2p7(s435))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49431, 49280, 49000])).
% 9.92/7.37 tff(49433,plain,
% 9.92/7.37 (~until2p7(s435)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49432, 49428])).
% 9.92/7.37 tff(49434,plain,
% 9.92/7.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s434, s435)) | until2p7(s435) | (~xuntil2p8(s434)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s434, s435)) | until2p7(s435) | (~xuntil2p8(s434)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49435,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s434, s435)) | until2p7(s435) | (~xuntil2p8(s434)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49436,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s434, s435)) | until2p7(s435) | (~xuntil2p8(s434))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49435, 49434])).
% 9.92/7.37 tff(49437,plain,
% 9.92/7.37 (until2p7(s435) | (~xuntil2p8(s434))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49436, 44564, 49295])).
% 9.92/7.37 tff(49438,plain,
% 9.92/7.37 (~xuntil2p8(s434)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49437, 49433])).
% 9.92/7.37 tff(49439,plain,
% 9.92/7.37 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s434) | xuntil2p8(s434) | (~until2p7(s434)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s434) | xuntil2p8(s434) | (~until2p7(s434)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49440,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s434) | xuntil2p8(s434) | (~until2p7(s434)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49441,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s434) | xuntil2p8(s434) | (~until2p7(s434))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49440, 49439])).
% 9.92/7.37 tff(49442,plain,
% 9.92/7.37 (xuntil2p8(s434) | (~until2p7(s434))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49441, 49280, 48983])).
% 9.92/7.37 tff(49443,plain,
% 9.92/7.37 (~until2p7(s434)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49442, 49438])).
% 9.92/7.37 tff(49444,plain,
% 9.92/7.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s433, s434)) | until2p7(s434) | (~xuntil2p8(s433)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s433, s434)) | until2p7(s434) | (~xuntil2p8(s433)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49445,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s433, s434)) | until2p7(s434) | (~xuntil2p8(s433)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49446,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s433, s434)) | until2p7(s434) | (~xuntil2p8(s433))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49445, 49444])).
% 9.92/7.37 tff(49447,plain,
% 9.92/7.37 (until2p7(s434) | (~xuntil2p8(s433))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49446, 44576, 49295])).
% 9.92/7.37 tff(49448,plain,
% 9.92/7.37 (~xuntil2p8(s433)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49447, 49443])).
% 9.92/7.37 tff(49449,plain,
% 9.92/7.37 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s433) | xuntil2p8(s433) | (~until2p7(s433)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s433) | xuntil2p8(s433) | (~until2p7(s433)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49450,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s433) | xuntil2p8(s433) | (~until2p7(s433)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49451,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s433) | xuntil2p8(s433) | (~until2p7(s433))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49450, 49449])).
% 9.92/7.37 tff(49452,plain,
% 9.92/7.37 (xuntil2p8(s433) | (~until2p7(s433))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49451, 49280, 48966])).
% 9.92/7.37 tff(49453,plain,
% 9.92/7.37 (~until2p7(s433)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49452, 49448])).
% 9.92/7.37 tff(49454,plain,
% 9.92/7.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s432, s433)) | until2p7(s433) | (~xuntil2p8(s432)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s432, s433)) | until2p7(s433) | (~xuntil2p8(s432)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49455,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s432, s433)) | until2p7(s433) | (~xuntil2p8(s432)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49456,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s432, s433)) | until2p7(s433) | (~xuntil2p8(s432))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49455, 49454])).
% 9.92/7.37 tff(49457,plain,
% 9.92/7.37 (until2p7(s433) | (~xuntil2p8(s432))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49456, 44588, 49295])).
% 9.92/7.37 tff(49458,plain,
% 9.92/7.37 (~xuntil2p8(s432)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49457, 49453])).
% 9.92/7.37 tff(49459,plain,
% 9.92/7.37 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s432) | xuntil2p8(s432) | (~until2p7(s432)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s432) | xuntil2p8(s432) | (~until2p7(s432)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49460,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s432) | xuntil2p8(s432) | (~until2p7(s432)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49461,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s432) | xuntil2p8(s432) | (~until2p7(s432))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49460, 49459])).
% 9.92/7.37 tff(49462,plain,
% 9.92/7.37 (xuntil2p8(s432) | (~until2p7(s432))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49461, 49280, 48949])).
% 9.92/7.37 tff(49463,plain,
% 9.92/7.37 (~until2p7(s432)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49462, 49458])).
% 9.92/7.37 tff(49464,plain,
% 9.92/7.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s431, s432)) | until2p7(s432) | (~xuntil2p8(s431)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s431, s432)) | until2p7(s432) | (~xuntil2p8(s431)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49465,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s431, s432)) | until2p7(s432) | (~xuntil2p8(s431)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49466,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s431, s432)) | until2p7(s432) | (~xuntil2p8(s431))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49465, 49464])).
% 9.92/7.37 tff(49467,plain,
% 9.92/7.37 (until2p7(s432) | (~xuntil2p8(s431))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49466, 44600, 49295])).
% 9.92/7.37 tff(49468,plain,
% 9.92/7.37 (~xuntil2p8(s431)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49467, 49463])).
% 9.92/7.37 tff(49469,plain,
% 9.92/7.37 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s431) | xuntil2p8(s431) | (~until2p7(s431)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s431) | xuntil2p8(s431) | (~until2p7(s431)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49470,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s431) | xuntil2p8(s431) | (~until2p7(s431)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49471,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s431) | xuntil2p8(s431) | (~until2p7(s431))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49470, 49469])).
% 9.92/7.37 tff(49472,plain,
% 9.92/7.37 (xuntil2p8(s431) | (~until2p7(s431))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49471, 49280, 48932])).
% 9.92/7.37 tff(49473,plain,
% 9.92/7.37 (~until2p7(s431)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49472, 49468])).
% 9.92/7.37 tff(49474,plain,
% 9.92/7.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s430, s431)) | until2p7(s431) | (~xuntil2p8(s430)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s430, s431)) | until2p7(s431) | (~xuntil2p8(s430)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49475,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s430, s431)) | until2p7(s431) | (~xuntil2p8(s430)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49476,plain,
% 9.92/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s430, s431)) | until2p7(s431) | (~xuntil2p8(s430))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49475, 49474])).
% 9.92/7.37 tff(49477,plain,
% 9.92/7.37 (until2p7(s431) | (~xuntil2p8(s430))),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49476, 44612, 49295])).
% 9.92/7.37 tff(49478,plain,
% 9.92/7.37 (~xuntil2p8(s430)),
% 9.92/7.37 inference(unit_resolution,[status(thm)],[49477, 49473])).
% 9.92/7.37 tff(49479,plain,
% 9.92/7.37 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s430) | xuntil2p8(s430) | (~until2p7(s430)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s430) | xuntil2p8(s430) | (~until2p7(s430)))),
% 9.92/7.37 inference(rewrite,[status(thm)],[])).
% 9.92/7.37 tff(49480,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s430) | xuntil2p8(s430) | (~until2p7(s430)))),
% 9.92/7.37 inference(quant_inst,[status(thm)],[])).
% 9.92/7.37 tff(49481,plain,
% 9.92/7.37 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s430) | xuntil2p8(s430) | (~until2p7(s430))),
% 9.92/7.37 inference(modus_ponens,[status(thm)],[49480, 49479])).
% 9.92/7.37 tff(49482,plain,
% 9.92/7.37 (xuntil2p8(s430) | (~until2p7(s430))),
% 9.94/7.37 inference(unit_resolution,[status(thm)],[49481, 49280, 48915])).
% 9.94/7.37 tff(49483,plain,
% 9.94/7.37 (~until2p7(s430)),
% 9.94/7.37 inference(unit_resolution,[status(thm)],[49482, 49478])).
% 9.94/7.37 tff(49484,plain,
% 9.94/7.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s429, s430)) | until2p7(s430) | (~xuntil2p8(s429)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s429, s430)) | until2p7(s430) | (~xuntil2p8(s429)))),
% 9.94/7.37 inference(rewrite,[status(thm)],[])).
% 9.94/7.37 tff(49485,plain,
% 9.94/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s429, s430)) | until2p7(s430) | (~xuntil2p8(s429)))),
% 9.94/7.37 inference(quant_inst,[status(thm)],[])).
% 9.94/7.37 tff(49486,plain,
% 9.94/7.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s429, s430)) | until2p7(s430) | (~xuntil2p8(s429))),
% 9.94/7.37 inference(modus_ponens,[status(thm)],[49485, 49484])).
% 9.94/7.37 tff(49487,plain,
% 9.94/7.37 (until2p7(s430) | (~xuntil2p8(s429))),
% 9.94/7.37 inference(unit_resolution,[status(thm)],[49486, 44624, 49295])).
% 9.94/7.38 tff(49488,plain,
% 9.94/7.38 (~xuntil2p8(s429)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49487, 49483])).
% 9.94/7.38 tff(49489,plain,
% 9.94/7.38 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s429) | xuntil2p8(s429) | (~until2p7(s429)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s429) | xuntil2p8(s429) | (~until2p7(s429)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49490,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s429) | xuntil2p8(s429) | (~until2p7(s429)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49491,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s429) | xuntil2p8(s429) | (~until2p7(s429))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49490, 49489])).
% 9.94/7.38 tff(49492,plain,
% 9.94/7.38 (xuntil2p8(s429) | (~until2p7(s429))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49491, 49280, 48898])).
% 9.94/7.38 tff(49493,plain,
% 9.94/7.38 (~until2p7(s429)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49492, 49488])).
% 9.94/7.38 tff(49494,plain,
% 9.94/7.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s428, s429)) | until2p7(s429) | (~xuntil2p8(s428)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s428, s429)) | until2p7(s429) | (~xuntil2p8(s428)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49495,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s428, s429)) | until2p7(s429) | (~xuntil2p8(s428)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49496,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s428, s429)) | until2p7(s429) | (~xuntil2p8(s428))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49495, 49494])).
% 9.94/7.38 tff(49497,plain,
% 9.94/7.38 (until2p7(s429) | (~xuntil2p8(s428))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49496, 44636, 49295])).
% 9.94/7.38 tff(49498,plain,
% 9.94/7.38 (~xuntil2p8(s428)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49497, 49493])).
% 9.94/7.38 tff(49499,plain,
% 9.94/7.38 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s428) | xuntil2p8(s428) | (~until2p7(s428)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s428) | xuntil2p8(s428) | (~until2p7(s428)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49500,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s428) | xuntil2p8(s428) | (~until2p7(s428)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49501,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s428) | xuntil2p8(s428) | (~until2p7(s428))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49500, 49499])).
% 9.94/7.38 tff(49502,plain,
% 9.94/7.38 (xuntil2p8(s428) | (~until2p7(s428))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49501, 49280, 48881])).
% 9.94/7.38 tff(49503,plain,
% 9.94/7.38 (~until2p7(s428)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49502, 49498])).
% 9.94/7.38 tff(49504,plain,
% 9.94/7.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s427, s428)) | until2p7(s428) | (~xuntil2p8(s427)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s427, s428)) | until2p7(s428) | (~xuntil2p8(s427)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49505,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s427, s428)) | until2p7(s428) | (~xuntil2p8(s427)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49506,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s427, s428)) | until2p7(s428) | (~xuntil2p8(s427))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49505, 49504])).
% 9.94/7.38 tff(49507,plain,
% 9.94/7.38 (until2p7(s428) | (~xuntil2p8(s427))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49506, 44648, 49295])).
% 9.94/7.38 tff(49508,plain,
% 9.94/7.38 (~xuntil2p8(s427)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49507, 49503])).
% 9.94/7.38 tff(49509,plain,
% 9.94/7.38 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s427) | xuntil2p8(s427) | (~until2p7(s427)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s427) | xuntil2p8(s427) | (~until2p7(s427)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49510,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s427) | xuntil2p8(s427) | (~until2p7(s427)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49511,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s427) | xuntil2p8(s427) | (~until2p7(s427))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49510, 49509])).
% 9.94/7.38 tff(49512,plain,
% 9.94/7.38 (xuntil2p8(s427) | (~until2p7(s427))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49511, 49280, 48864])).
% 9.94/7.38 tff(49513,plain,
% 9.94/7.38 (~until2p7(s427)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49512, 49508])).
% 9.94/7.38 tff(49514,plain,
% 9.94/7.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s426, s427)) | until2p7(s427) | (~xuntil2p8(s426)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s426, s427)) | until2p7(s427) | (~xuntil2p8(s426)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49515,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s426, s427)) | until2p7(s427) | (~xuntil2p8(s426)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49516,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s426, s427)) | until2p7(s427) | (~xuntil2p8(s426))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49515, 49514])).
% 9.94/7.38 tff(49517,plain,
% 9.94/7.38 (until2p7(s427) | (~xuntil2p8(s426))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49516, 44660, 49295])).
% 9.94/7.38 tff(49518,plain,
% 9.94/7.38 (~xuntil2p8(s426)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49517, 49513])).
% 9.94/7.38 tff(49519,plain,
% 9.94/7.38 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s426) | xuntil2p8(s426) | (~until2p7(s426)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s426) | xuntil2p8(s426) | (~until2p7(s426)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49520,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s426) | xuntil2p8(s426) | (~until2p7(s426)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49521,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s426) | xuntil2p8(s426) | (~until2p7(s426))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49520, 49519])).
% 9.94/7.38 tff(49522,plain,
% 9.94/7.38 (xuntil2p8(s426) | (~until2p7(s426))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49521, 49280, 48847])).
% 9.94/7.38 tff(49523,plain,
% 9.94/7.38 (~until2p7(s426)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49522, 49518])).
% 9.94/7.38 tff(49524,plain,
% 9.94/7.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s425, s426)) | until2p7(s426) | (~xuntil2p8(s425)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s425, s426)) | until2p7(s426) | (~xuntil2p8(s425)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49525,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s425, s426)) | until2p7(s426) | (~xuntil2p8(s425)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49526,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s425, s426)) | until2p7(s426) | (~xuntil2p8(s425))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49525, 49524])).
% 9.94/7.38 tff(49527,plain,
% 9.94/7.38 (until2p7(s426) | (~xuntil2p8(s425))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49526, 44672, 49295])).
% 9.94/7.38 tff(49528,plain,
% 9.94/7.38 (~xuntil2p8(s425)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49527, 49523])).
% 9.94/7.38 tff(49529,plain,
% 9.94/7.38 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s425) | xuntil2p8(s425) | (~until2p7(s425)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s425) | xuntil2p8(s425) | (~until2p7(s425)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49530,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s425) | xuntil2p8(s425) | (~until2p7(s425)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49531,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s425) | xuntil2p8(s425) | (~until2p7(s425))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49530, 49529])).
% 9.94/7.38 tff(49532,plain,
% 9.94/7.38 (xuntil2p8(s425) | (~until2p7(s425))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49531, 49280, 48830])).
% 9.94/7.38 tff(49533,plain,
% 9.94/7.38 (~until2p7(s425)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49532, 49528])).
% 9.94/7.38 tff(49534,plain,
% 9.94/7.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s424, s425)) | until2p7(s425) | (~xuntil2p8(s424)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s424, s425)) | until2p7(s425) | (~xuntil2p8(s424)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49535,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s424, s425)) | until2p7(s425) | (~xuntil2p8(s424)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49536,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s424, s425)) | until2p7(s425) | (~xuntil2p8(s424))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49535, 49534])).
% 9.94/7.38 tff(49537,plain,
% 9.94/7.38 (until2p7(s425) | (~xuntil2p8(s424))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49536, 44684, 49295])).
% 9.94/7.38 tff(49538,plain,
% 9.94/7.38 (~xuntil2p8(s424)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49537, 49533])).
% 9.94/7.38 tff(49539,plain,
% 9.94/7.38 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s424) | xuntil2p8(s424) | (~until2p7(s424)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s424) | xuntil2p8(s424) | (~until2p7(s424)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49540,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s424) | xuntil2p8(s424) | (~until2p7(s424)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49541,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s424) | xuntil2p8(s424) | (~until2p7(s424))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49540, 49539])).
% 9.94/7.38 tff(49542,plain,
% 9.94/7.38 (xuntil2p8(s424) | (~until2p7(s424))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49541, 49280, 48813])).
% 9.94/7.38 tff(49543,plain,
% 9.94/7.38 (~until2p7(s424)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49542, 49538])).
% 9.94/7.38 tff(49544,plain,
% 9.94/7.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s423, s424)) | until2p7(s424) | (~xuntil2p8(s423)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s423, s424)) | until2p7(s424) | (~xuntil2p8(s423)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49545,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s423, s424)) | until2p7(s424) | (~xuntil2p8(s423)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49546,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s423, s424)) | until2p7(s424) | (~xuntil2p8(s423))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49545, 49544])).
% 9.94/7.38 tff(49547,plain,
% 9.94/7.38 (until2p7(s424) | (~xuntil2p8(s423))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49546, 44696, 49295])).
% 9.94/7.38 tff(49548,plain,
% 9.94/7.38 (~xuntil2p8(s423)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49547, 49543])).
% 9.94/7.38 tff(49549,plain,
% 9.94/7.38 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s423) | xuntil2p8(s423) | (~until2p7(s423)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s423) | xuntil2p8(s423) | (~until2p7(s423)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49550,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s423) | xuntil2p8(s423) | (~until2p7(s423)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49551,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s423) | xuntil2p8(s423) | (~until2p7(s423))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49550, 49549])).
% 9.94/7.38 tff(49552,plain,
% 9.94/7.38 (xuntil2p8(s423) | (~until2p7(s423))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49551, 49280, 48796])).
% 9.94/7.38 tff(49553,plain,
% 9.94/7.38 (~until2p7(s423)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49552, 49548])).
% 9.94/7.38 tff(49554,plain,
% 9.94/7.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s422, s423)) | until2p7(s423) | (~xuntil2p8(s422)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s422, s423)) | until2p7(s423) | (~xuntil2p8(s422)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49555,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s422, s423)) | until2p7(s423) | (~xuntil2p8(s422)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49556,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s422, s423)) | until2p7(s423) | (~xuntil2p8(s422))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49555, 49554])).
% 9.94/7.38 tff(49557,plain,
% 9.94/7.38 (until2p7(s423) | (~xuntil2p8(s422))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49556, 44708, 49295])).
% 9.94/7.38 tff(49558,plain,
% 9.94/7.38 (~xuntil2p8(s422)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49557, 49553])).
% 9.94/7.38 tff(49559,plain,
% 9.94/7.38 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s422) | xuntil2p8(s422) | (~until2p7(s422)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s422) | xuntil2p8(s422) | (~until2p7(s422)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49560,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s422) | xuntil2p8(s422) | (~until2p7(s422)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49561,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s422) | xuntil2p8(s422) | (~until2p7(s422))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49560, 49559])).
% 9.94/7.38 tff(49562,plain,
% 9.94/7.38 (xuntil2p8(s422) | (~until2p7(s422))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49561, 49280, 48779])).
% 9.94/7.38 tff(49563,plain,
% 9.94/7.38 (~until2p7(s422)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49562, 49558])).
% 9.94/7.38 tff(49564,plain,
% 9.94/7.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s421, s422)) | until2p7(s422) | (~xuntil2p8(s421)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s421, s422)) | until2p7(s422) | (~xuntil2p8(s421)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49565,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s421, s422)) | until2p7(s422) | (~xuntil2p8(s421)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49566,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s421, s422)) | until2p7(s422) | (~xuntil2p8(s421))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49565, 49564])).
% 9.94/7.38 tff(49567,plain,
% 9.94/7.38 (until2p7(s422) | (~xuntil2p8(s421))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49566, 44720, 49295])).
% 9.94/7.38 tff(49568,plain,
% 9.94/7.38 (~xuntil2p8(s421)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49567, 49563])).
% 9.94/7.38 tff(49569,plain,
% 9.94/7.38 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s421) | xuntil2p8(s421) | (~until2p7(s421)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s421) | xuntil2p8(s421) | (~until2p7(s421)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49570,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s421) | xuntil2p8(s421) | (~until2p7(s421)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49571,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s421) | xuntil2p8(s421) | (~until2p7(s421))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49570, 49569])).
% 9.94/7.38 tff(49572,plain,
% 9.94/7.38 (xuntil2p8(s421) | (~until2p7(s421))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49571, 49280, 48762])).
% 9.94/7.38 tff(49573,plain,
% 9.94/7.38 (~until2p7(s421)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49572, 49568])).
% 9.94/7.38 tff(49574,plain,
% 9.94/7.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s420, s421)) | until2p7(s421) | (~xuntil2p8(s420)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s420, s421)) | until2p7(s421) | (~xuntil2p8(s420)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49575,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s420, s421)) | until2p7(s421) | (~xuntil2p8(s420)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49576,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s420, s421)) | until2p7(s421) | (~xuntil2p8(s420))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49575, 49574])).
% 9.94/7.38 tff(49577,plain,
% 9.94/7.38 (until2p7(s421) | (~xuntil2p8(s420))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49576, 44732, 49295])).
% 9.94/7.38 tff(49578,plain,
% 9.94/7.38 (~xuntil2p8(s420)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49577, 49573])).
% 9.94/7.38 tff(49579,plain,
% 9.94/7.38 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s420) | xuntil2p8(s420) | (~until2p7(s420)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s420) | xuntil2p8(s420) | (~until2p7(s420)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49580,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s420) | xuntil2p8(s420) | (~until2p7(s420)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49581,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s420) | xuntil2p8(s420) | (~until2p7(s420))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49580, 49579])).
% 9.94/7.38 tff(49582,plain,
% 9.94/7.38 (xuntil2p8(s420) | (~until2p7(s420))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49581, 49280, 48745])).
% 9.94/7.38 tff(49583,plain,
% 9.94/7.38 (~until2p7(s420)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49582, 49578])).
% 9.94/7.38 tff(49584,plain,
% 9.94/7.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s419, s420)) | until2p7(s420) | (~xuntil2p8(s419)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s419, s420)) | until2p7(s420) | (~xuntil2p8(s419)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49585,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s419, s420)) | until2p7(s420) | (~xuntil2p8(s419)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49586,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s419, s420)) | until2p7(s420) | (~xuntil2p8(s419))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49585, 49584])).
% 9.94/7.38 tff(49587,plain,
% 9.94/7.38 (until2p7(s420) | (~xuntil2p8(s419))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49586, 44744, 49295])).
% 9.94/7.38 tff(49588,plain,
% 9.94/7.38 (~xuntil2p8(s419)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49587, 49583])).
% 9.94/7.38 tff(49589,plain,
% 9.94/7.38 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s419) | xuntil2p8(s419) | (~until2p7(s419)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s419) | xuntil2p8(s419) | (~until2p7(s419)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49590,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s419) | xuntil2p8(s419) | (~until2p7(s419)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49591,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s419) | xuntil2p8(s419) | (~until2p7(s419))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49590, 49589])).
% 9.94/7.38 tff(49592,plain,
% 9.94/7.38 (xuntil2p8(s419) | (~until2p7(s419))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49591, 49280, 48728])).
% 9.94/7.38 tff(49593,plain,
% 9.94/7.38 (~until2p7(s419)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49592, 49588])).
% 9.94/7.38 tff(49594,plain,
% 9.94/7.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s418, s419)) | until2p7(s419) | (~xuntil2p8(s418)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s418, s419)) | until2p7(s419) | (~xuntil2p8(s418)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49595,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s418, s419)) | until2p7(s419) | (~xuntil2p8(s418)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49596,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s418, s419)) | until2p7(s419) | (~xuntil2p8(s418))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49595, 49594])).
% 9.94/7.38 tff(49597,plain,
% 9.94/7.38 (until2p7(s419) | (~xuntil2p8(s418))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49596, 44756, 49295])).
% 9.94/7.38 tff(49598,plain,
% 9.94/7.38 (~xuntil2p8(s418)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49597, 49593])).
% 9.94/7.38 tff(49599,plain,
% 9.94/7.38 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s418) | xuntil2p8(s418) | (~until2p7(s418)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s418) | xuntil2p8(s418) | (~until2p7(s418)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49600,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s418) | xuntil2p8(s418) | (~until2p7(s418)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49601,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s418) | xuntil2p8(s418) | (~until2p7(s418))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49600, 49599])).
% 9.94/7.38 tff(49602,plain,
% 9.94/7.38 (xuntil2p8(s418) | (~until2p7(s418))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49601, 49280, 48711])).
% 9.94/7.38 tff(49603,plain,
% 9.94/7.38 (~until2p7(s418)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49602, 49598])).
% 9.94/7.38 tff(49604,plain,
% 9.94/7.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s417, s418)) | until2p7(s418) | (~xuntil2p8(s417)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s417, s418)) | until2p7(s418) | (~xuntil2p8(s417)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49605,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s417, s418)) | until2p7(s418) | (~xuntil2p8(s417)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49606,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s417, s418)) | until2p7(s418) | (~xuntil2p8(s417))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49605, 49604])).
% 9.94/7.38 tff(49607,plain,
% 9.94/7.38 (until2p7(s418) | (~xuntil2p8(s417))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49606, 44768, 49295])).
% 9.94/7.38 tff(49608,plain,
% 9.94/7.38 (~xuntil2p8(s417)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49607, 49603])).
% 9.94/7.38 tff(49609,plain,
% 9.94/7.38 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s417) | xuntil2p8(s417) | (~until2p7(s417)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s417) | xuntil2p8(s417) | (~until2p7(s417)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49610,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s417) | xuntil2p8(s417) | (~until2p7(s417)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49611,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s417) | xuntil2p8(s417) | (~until2p7(s417))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49610, 49609])).
% 9.94/7.38 tff(49612,plain,
% 9.94/7.38 (xuntil2p8(s417) | (~until2p7(s417))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49611, 49280, 48694])).
% 9.94/7.38 tff(49613,plain,
% 9.94/7.38 (~until2p7(s417)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49612, 49608])).
% 9.94/7.38 tff(49614,plain,
% 9.94/7.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s416, s417)) | until2p7(s417) | (~xuntil2p8(s416)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s416, s417)) | until2p7(s417) | (~xuntil2p8(s416)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49615,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s416, s417)) | until2p7(s417) | (~xuntil2p8(s416)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49616,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s416, s417)) | until2p7(s417) | (~xuntil2p8(s416))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49615, 49614])).
% 9.94/7.38 tff(49617,plain,
% 9.94/7.38 (until2p7(s417) | (~xuntil2p8(s416))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49616, 44780, 49295])).
% 9.94/7.38 tff(49618,plain,
% 9.94/7.38 (~xuntil2p8(s416)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49617, 49613])).
% 9.94/7.38 tff(49619,plain,
% 9.94/7.38 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s416) | xuntil2p8(s416) | (~until2p7(s416)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s416) | xuntil2p8(s416) | (~until2p7(s416)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49620,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s416) | xuntil2p8(s416) | (~until2p7(s416)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49621,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s416) | xuntil2p8(s416) | (~until2p7(s416))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49620, 49619])).
% 9.94/7.38 tff(49622,plain,
% 9.94/7.38 (xuntil2p8(s416) | (~until2p7(s416))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49621, 49280, 48677])).
% 9.94/7.38 tff(49623,plain,
% 9.94/7.38 (~until2p7(s416)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49622, 49618])).
% 9.94/7.38 tff(49624,plain,
% 9.94/7.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s415, s416)) | until2p7(s416) | (~xuntil2p8(s415)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s415, s416)) | until2p7(s416) | (~xuntil2p8(s415)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49625,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s415, s416)) | until2p7(s416) | (~xuntil2p8(s415)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49626,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s415, s416)) | until2p7(s416) | (~xuntil2p8(s415))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49625, 49624])).
% 9.94/7.38 tff(49627,plain,
% 9.94/7.38 (until2p7(s416) | (~xuntil2p8(s415))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49626, 44792, 49295])).
% 9.94/7.38 tff(49628,plain,
% 9.94/7.38 (~xuntil2p8(s415)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49627, 49623])).
% 9.94/7.38 tff(49629,plain,
% 9.94/7.38 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s415) | xuntil2p8(s415) | (~until2p7(s415)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s415) | xuntil2p8(s415) | (~until2p7(s415)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49630,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s415) | xuntil2p8(s415) | (~until2p7(s415)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49631,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s415) | xuntil2p8(s415) | (~until2p7(s415))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49630, 49629])).
% 9.94/7.38 tff(49632,plain,
% 9.94/7.38 (xuntil2p8(s415) | (~until2p7(s415))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49631, 49280, 48660])).
% 9.94/7.38 tff(49633,plain,
% 9.94/7.38 (~until2p7(s415)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49632, 49628])).
% 9.94/7.38 tff(49634,plain,
% 9.94/7.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s414, s415)) | until2p7(s415) | (~xuntil2p8(s414)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s414, s415)) | until2p7(s415) | (~xuntil2p8(s414)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49635,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s414, s415)) | until2p7(s415) | (~xuntil2p8(s414)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49636,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s414, s415)) | until2p7(s415) | (~xuntil2p8(s414))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49635, 49634])).
% 9.94/7.38 tff(49637,plain,
% 9.94/7.38 (until2p7(s415) | (~xuntil2p8(s414))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49636, 44804, 49295])).
% 9.94/7.38 tff(49638,plain,
% 9.94/7.38 (~xuntil2p8(s414)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49637, 49633])).
% 9.94/7.38 tff(49639,plain,
% 9.94/7.38 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s414) | xuntil2p8(s414) | (~until2p7(s414)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s414) | xuntil2p8(s414) | (~until2p7(s414)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49640,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s414) | xuntil2p8(s414) | (~until2p7(s414)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49641,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s414) | xuntil2p8(s414) | (~until2p7(s414))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49640, 49639])).
% 9.94/7.38 tff(49642,plain,
% 9.94/7.38 (xuntil2p8(s414) | (~until2p7(s414))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49641, 49280, 48643])).
% 9.94/7.38 tff(49643,plain,
% 9.94/7.38 (~until2p7(s414)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49642, 49638])).
% 9.94/7.38 tff(49644,plain,
% 9.94/7.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s413, s414)) | until2p7(s414) | (~xuntil2p8(s413)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s413, s414)) | until2p7(s414) | (~xuntil2p8(s413)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49645,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s413, s414)) | until2p7(s414) | (~xuntil2p8(s413)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49646,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s413, s414)) | until2p7(s414) | (~xuntil2p8(s413))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49645, 49644])).
% 9.94/7.38 tff(49647,plain,
% 9.94/7.38 (until2p7(s414) | (~xuntil2p8(s413))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49646, 44816, 49295])).
% 9.94/7.38 tff(49648,plain,
% 9.94/7.38 (~xuntil2p8(s413)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49647, 49643])).
% 9.94/7.38 tff(49649,plain,
% 9.94/7.38 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s413) | xuntil2p8(s413) | (~until2p7(s413)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s413) | xuntil2p8(s413) | (~until2p7(s413)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49650,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s413) | xuntil2p8(s413) | (~until2p7(s413)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49651,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s413) | xuntil2p8(s413) | (~until2p7(s413))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49650, 49649])).
% 9.94/7.38 tff(49652,plain,
% 9.94/7.38 (xuntil2p8(s413) | (~until2p7(s413))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49651, 49280, 48626])).
% 9.94/7.38 tff(49653,plain,
% 9.94/7.38 (~until2p7(s413)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49652, 49648])).
% 9.94/7.38 tff(49654,plain,
% 9.94/7.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s412, s413)) | until2p7(s413) | (~xuntil2p8(s412)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s412, s413)) | until2p7(s413) | (~xuntil2p8(s412)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49655,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s412, s413)) | until2p7(s413) | (~xuntil2p8(s412)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49656,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s412, s413)) | until2p7(s413) | (~xuntil2p8(s412))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49655, 49654])).
% 9.94/7.38 tff(49657,plain,
% 9.94/7.38 (until2p7(s413) | (~xuntil2p8(s412))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49656, 44828, 49295])).
% 9.94/7.38 tff(49658,plain,
% 9.94/7.38 (~xuntil2p8(s412)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49657, 49653])).
% 9.94/7.38 tff(49659,plain,
% 9.94/7.38 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s412) | xuntil2p8(s412) | (~until2p7(s412)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s412) | xuntil2p8(s412) | (~until2p7(s412)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49660,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s412) | xuntil2p8(s412) | (~until2p7(s412)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49661,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s412) | xuntil2p8(s412) | (~until2p7(s412))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49660, 49659])).
% 9.94/7.38 tff(49662,plain,
% 9.94/7.38 (xuntil2p8(s412) | (~until2p7(s412))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49661, 49280, 48609])).
% 9.94/7.38 tff(49663,plain,
% 9.94/7.38 (~until2p7(s412)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49662, 49658])).
% 9.94/7.38 tff(49664,plain,
% 9.94/7.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s411, s412)) | until2p7(s412) | (~xuntil2p8(s411)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s411, s412)) | until2p7(s412) | (~xuntil2p8(s411)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49665,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s411, s412)) | until2p7(s412) | (~xuntil2p8(s411)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49666,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s411, s412)) | until2p7(s412) | (~xuntil2p8(s411))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49665, 49664])).
% 9.94/7.38 tff(49667,plain,
% 9.94/7.38 (until2p7(s412) | (~xuntil2p8(s411))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49666, 44840, 49295])).
% 9.94/7.38 tff(49668,plain,
% 9.94/7.38 (~xuntil2p8(s411)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49667, 49663])).
% 9.94/7.38 tff(49669,plain,
% 9.94/7.38 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s411) | xuntil2p8(s411) | (~until2p7(s411)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s411) | xuntil2p8(s411) | (~until2p7(s411)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49670,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s411) | xuntil2p8(s411) | (~until2p7(s411)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49671,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s411) | xuntil2p8(s411) | (~until2p7(s411))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49670, 49669])).
% 9.94/7.38 tff(49672,plain,
% 9.94/7.38 (xuntil2p8(s411) | (~until2p7(s411))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49671, 49280, 48592])).
% 9.94/7.38 tff(49673,plain,
% 9.94/7.38 (~until2p7(s411)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49672, 49668])).
% 9.94/7.38 tff(49674,plain,
% 9.94/7.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s410, s411)) | until2p7(s411) | (~xuntil2p8(s410)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s410, s411)) | until2p7(s411) | (~xuntil2p8(s410)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49675,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s410, s411)) | until2p7(s411) | (~xuntil2p8(s410)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49676,plain,
% 9.94/7.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s410, s411)) | until2p7(s411) | (~xuntil2p8(s410))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49675, 49674])).
% 9.94/7.38 tff(49677,plain,
% 9.94/7.38 (until2p7(s411) | (~xuntil2p8(s410))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49676, 44852, 49295])).
% 9.94/7.38 tff(49678,plain,
% 9.94/7.38 (~xuntil2p8(s410)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49677, 49673])).
% 9.94/7.38 tff(49679,plain,
% 9.94/7.38 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s410) | xuntil2p8(s410) | (~until2p7(s410)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s410) | xuntil2p8(s410) | (~until2p7(s410)))),
% 9.94/7.38 inference(rewrite,[status(thm)],[])).
% 9.94/7.38 tff(49680,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s410) | xuntil2p8(s410) | (~until2p7(s410)))),
% 9.94/7.38 inference(quant_inst,[status(thm)],[])).
% 9.94/7.38 tff(49681,plain,
% 9.94/7.38 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s410) | xuntil2p8(s410) | (~until2p7(s410))),
% 9.94/7.38 inference(modus_ponens,[status(thm)],[49680, 49679])).
% 9.94/7.38 tff(49682,plain,
% 9.94/7.38 (xuntil2p8(s410) | (~until2p7(s410))),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49681, 49280, 48575])).
% 9.94/7.38 tff(49683,plain,
% 9.94/7.38 (~until2p7(s410)),
% 9.94/7.38 inference(unit_resolution,[status(thm)],[49682, 49678])).
% 9.94/7.38 tff(49684,plain,
% 9.94/7.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s409, s410)) | until2p7(s410) | (~xuntil2p8(s409)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s409, s410)) | until2p7(s410) | (~xuntil2p8(s409)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49685,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s409, s410)) | until2p7(s410) | (~xuntil2p8(s409)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49686,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s409, s410)) | until2p7(s410) | (~xuntil2p8(s409))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49685, 49684])).
% 9.94/7.39 tff(49687,plain,
% 9.94/7.39 (until2p7(s410) | (~xuntil2p8(s409))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49686, 44864, 49295])).
% 9.94/7.39 tff(49688,plain,
% 9.94/7.39 (~xuntil2p8(s409)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49687, 49683])).
% 9.94/7.39 tff(49689,plain,
% 9.94/7.39 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s409) | xuntil2p8(s409) | (~until2p7(s409)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s409) | xuntil2p8(s409) | (~until2p7(s409)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49690,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s409) | xuntil2p8(s409) | (~until2p7(s409)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49691,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s409) | xuntil2p8(s409) | (~until2p7(s409))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49690, 49689])).
% 9.94/7.39 tff(49692,plain,
% 9.94/7.39 (xuntil2p8(s409) | (~until2p7(s409))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49691, 49280, 48558])).
% 9.94/7.39 tff(49693,plain,
% 9.94/7.39 (~until2p7(s409)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49692, 49688])).
% 9.94/7.39 tff(49694,plain,
% 9.94/7.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s408, s409)) | until2p7(s409) | (~xuntil2p8(s408)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s408, s409)) | until2p7(s409) | (~xuntil2p8(s408)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49695,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s408, s409)) | until2p7(s409) | (~xuntil2p8(s408)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49696,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s408, s409)) | until2p7(s409) | (~xuntil2p8(s408))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49695, 49694])).
% 9.94/7.39 tff(49697,plain,
% 9.94/7.39 (until2p7(s409) | (~xuntil2p8(s408))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49696, 44876, 49295])).
% 9.94/7.39 tff(49698,plain,
% 9.94/7.39 (~xuntil2p8(s408)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49697, 49693])).
% 9.94/7.39 tff(49699,plain,
% 9.94/7.39 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s408) | xuntil2p8(s408) | (~until2p7(s408)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s408) | xuntil2p8(s408) | (~until2p7(s408)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49700,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s408) | xuntil2p8(s408) | (~until2p7(s408)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49701,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s408) | xuntil2p8(s408) | (~until2p7(s408))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49700, 49699])).
% 9.94/7.39 tff(49702,plain,
% 9.94/7.39 (xuntil2p8(s408) | (~until2p7(s408))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49701, 49280, 48541])).
% 9.94/7.39 tff(49703,plain,
% 9.94/7.39 (~until2p7(s408)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49702, 49698])).
% 9.94/7.39 tff(49704,plain,
% 9.94/7.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s407, s408)) | until2p7(s408) | (~xuntil2p8(s407)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s407, s408)) | until2p7(s408) | (~xuntil2p8(s407)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49705,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s407, s408)) | until2p7(s408) | (~xuntil2p8(s407)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49706,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s407, s408)) | until2p7(s408) | (~xuntil2p8(s407))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49705, 49704])).
% 9.94/7.39 tff(49707,plain,
% 9.94/7.39 (until2p7(s408) | (~xuntil2p8(s407))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49706, 44888, 49295])).
% 9.94/7.39 tff(49708,plain,
% 9.94/7.39 (~xuntil2p8(s407)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49707, 49703])).
% 9.94/7.39 tff(49709,plain,
% 9.94/7.39 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s407) | xuntil2p8(s407) | (~until2p7(s407)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s407) | xuntil2p8(s407) | (~until2p7(s407)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49710,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s407) | xuntil2p8(s407) | (~until2p7(s407)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49711,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s407) | xuntil2p8(s407) | (~until2p7(s407))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49710, 49709])).
% 9.94/7.39 tff(49712,plain,
% 9.94/7.39 (xuntil2p8(s407) | (~until2p7(s407))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49711, 49280, 48524])).
% 9.94/7.39 tff(49713,plain,
% 9.94/7.39 (~until2p7(s407)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49712, 49708])).
% 9.94/7.39 tff(49714,plain,
% 9.94/7.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s406, s407)) | until2p7(s407) | (~xuntil2p8(s406)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s406, s407)) | until2p7(s407) | (~xuntil2p8(s406)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49715,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s406, s407)) | until2p7(s407) | (~xuntil2p8(s406)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49716,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s406, s407)) | until2p7(s407) | (~xuntil2p8(s406))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49715, 49714])).
% 9.94/7.39 tff(49717,plain,
% 9.94/7.39 (until2p7(s407) | (~xuntil2p8(s406))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49716, 44900, 49295])).
% 9.94/7.39 tff(49718,plain,
% 9.94/7.39 (~xuntil2p8(s406)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49717, 49713])).
% 9.94/7.39 tff(49719,plain,
% 9.94/7.39 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s406) | xuntil2p8(s406) | (~until2p7(s406)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s406) | xuntil2p8(s406) | (~until2p7(s406)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49720,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s406) | xuntil2p8(s406) | (~until2p7(s406)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49721,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s406) | xuntil2p8(s406) | (~until2p7(s406))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49720, 49719])).
% 9.94/7.39 tff(49722,plain,
% 9.94/7.39 (xuntil2p8(s406) | (~until2p7(s406))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49721, 49280, 48507])).
% 9.94/7.39 tff(49723,plain,
% 9.94/7.39 (~until2p7(s406)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49722, 49718])).
% 9.94/7.39 tff(49724,plain,
% 9.94/7.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s405, s406)) | until2p7(s406) | (~xuntil2p8(s405)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s405, s406)) | until2p7(s406) | (~xuntil2p8(s405)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49725,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s405, s406)) | until2p7(s406) | (~xuntil2p8(s405)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49726,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s405, s406)) | until2p7(s406) | (~xuntil2p8(s405))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49725, 49724])).
% 9.94/7.39 tff(49727,plain,
% 9.94/7.39 (until2p7(s406) | (~xuntil2p8(s405))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49726, 44912, 49295])).
% 9.94/7.39 tff(49728,plain,
% 9.94/7.39 (~xuntil2p8(s405)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49727, 49723])).
% 9.94/7.39 tff(49729,plain,
% 9.94/7.39 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s405) | xuntil2p8(s405) | (~until2p7(s405)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s405) | xuntil2p8(s405) | (~until2p7(s405)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49730,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s405) | xuntil2p8(s405) | (~until2p7(s405)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49731,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s405) | xuntil2p8(s405) | (~until2p7(s405))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49730, 49729])).
% 9.94/7.39 tff(49732,plain,
% 9.94/7.39 (xuntil2p8(s405) | (~until2p7(s405))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49731, 49280, 48490])).
% 9.94/7.39 tff(49733,plain,
% 9.94/7.39 (~until2p7(s405)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49732, 49728])).
% 9.94/7.39 tff(49734,plain,
% 9.94/7.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s404, s405)) | until2p7(s405) | (~xuntil2p8(s404)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s404, s405)) | until2p7(s405) | (~xuntil2p8(s404)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49735,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s404, s405)) | until2p7(s405) | (~xuntil2p8(s404)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49736,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s404, s405)) | until2p7(s405) | (~xuntil2p8(s404))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49735, 49734])).
% 9.94/7.39 tff(49737,plain,
% 9.94/7.39 (until2p7(s405) | (~xuntil2p8(s404))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49736, 44924, 49295])).
% 9.94/7.39 tff(49738,plain,
% 9.94/7.39 (~xuntil2p8(s404)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49737, 49733])).
% 9.94/7.39 tff(49739,plain,
% 9.94/7.39 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s404) | xuntil2p8(s404) | (~until2p7(s404)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s404) | xuntil2p8(s404) | (~until2p7(s404)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49740,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s404) | xuntil2p8(s404) | (~until2p7(s404)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49741,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s404) | xuntil2p8(s404) | (~until2p7(s404))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49740, 49739])).
% 9.94/7.39 tff(49742,plain,
% 9.94/7.39 (xuntil2p8(s404) | (~until2p7(s404))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49741, 49280, 48473])).
% 9.94/7.39 tff(49743,plain,
% 9.94/7.39 (~until2p7(s404)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49742, 49738])).
% 9.94/7.39 tff(49744,plain,
% 9.94/7.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s403, s404)) | until2p7(s404) | (~xuntil2p8(s403)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s403, s404)) | until2p7(s404) | (~xuntil2p8(s403)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49745,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s403, s404)) | until2p7(s404) | (~xuntil2p8(s403)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49746,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s403, s404)) | until2p7(s404) | (~xuntil2p8(s403))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49745, 49744])).
% 9.94/7.39 tff(49747,plain,
% 9.94/7.39 (until2p7(s404) | (~xuntil2p8(s403))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49746, 44936, 49295])).
% 9.94/7.39 tff(49748,plain,
% 9.94/7.39 (~xuntil2p8(s403)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49747, 49743])).
% 9.94/7.39 tff(49749,plain,
% 9.94/7.39 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s403) | xuntil2p8(s403) | (~until2p7(s403)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s403) | xuntil2p8(s403) | (~until2p7(s403)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49750,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s403) | xuntil2p8(s403) | (~until2p7(s403)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49751,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s403) | xuntil2p8(s403) | (~until2p7(s403))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49750, 49749])).
% 9.94/7.39 tff(49752,plain,
% 9.94/7.39 (xuntil2p8(s403) | (~until2p7(s403))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49751, 49280, 48456])).
% 9.94/7.39 tff(49753,plain,
% 9.94/7.39 (~until2p7(s403)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49752, 49748])).
% 9.94/7.39 tff(49754,plain,
% 9.94/7.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s402, s403)) | until2p7(s403) | (~xuntil2p8(s402)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s402, s403)) | until2p7(s403) | (~xuntil2p8(s402)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49755,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s402, s403)) | until2p7(s403) | (~xuntil2p8(s402)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49756,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s402, s403)) | until2p7(s403) | (~xuntil2p8(s402))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49755, 49754])).
% 9.94/7.39 tff(49757,plain,
% 9.94/7.39 (until2p7(s403) | (~xuntil2p8(s402))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49756, 44948, 49295])).
% 9.94/7.39 tff(49758,plain,
% 9.94/7.39 (~xuntil2p8(s402)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49757, 49753])).
% 9.94/7.39 tff(49759,plain,
% 9.94/7.39 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s402) | xuntil2p8(s402) | (~until2p7(s402)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s402) | xuntil2p8(s402) | (~until2p7(s402)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49760,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s402) | xuntil2p8(s402) | (~until2p7(s402)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49761,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s402) | xuntil2p8(s402) | (~until2p7(s402))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49760, 49759])).
% 9.94/7.39 tff(49762,plain,
% 9.94/7.39 (xuntil2p8(s402) | (~until2p7(s402))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49761, 49280, 48439])).
% 9.94/7.39 tff(49763,plain,
% 9.94/7.39 (~until2p7(s402)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49762, 49758])).
% 9.94/7.39 tff(49764,plain,
% 9.94/7.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s401, s402)) | until2p7(s402) | (~xuntil2p8(s401)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s401, s402)) | until2p7(s402) | (~xuntil2p8(s401)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49765,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s401, s402)) | until2p7(s402) | (~xuntil2p8(s401)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49766,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s401, s402)) | until2p7(s402) | (~xuntil2p8(s401))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49765, 49764])).
% 9.94/7.39 tff(49767,plain,
% 9.94/7.39 (until2p7(s402) | (~xuntil2p8(s401))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49766, 44960, 49295])).
% 9.94/7.39 tff(49768,plain,
% 9.94/7.39 (~xuntil2p8(s401)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49767, 49763])).
% 9.94/7.39 tff(49769,plain,
% 9.94/7.39 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s401) | xuntil2p8(s401) | (~until2p7(s401)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s401) | xuntil2p8(s401) | (~until2p7(s401)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49770,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s401) | xuntil2p8(s401) | (~until2p7(s401)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49771,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s401) | xuntil2p8(s401) | (~until2p7(s401))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49770, 49769])).
% 9.94/7.39 tff(49772,plain,
% 9.94/7.39 (xuntil2p8(s401) | (~until2p7(s401))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49771, 49280, 48422])).
% 9.94/7.39 tff(49773,plain,
% 9.94/7.39 (~until2p7(s401)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49772, 49768])).
% 9.94/7.39 tff(49774,plain,
% 9.94/7.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s400, s401)) | until2p7(s401) | (~xuntil2p8(s400)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s400, s401)) | until2p7(s401) | (~xuntil2p8(s400)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49775,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s400, s401)) | until2p7(s401) | (~xuntil2p8(s400)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49776,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s400, s401)) | until2p7(s401) | (~xuntil2p8(s400))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49775, 49774])).
% 9.94/7.39 tff(49777,plain,
% 9.94/7.39 (until2p7(s401) | (~xuntil2p8(s400))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49776, 44972, 49295])).
% 9.94/7.39 tff(49778,plain,
% 9.94/7.39 (~xuntil2p8(s400)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49777, 49773])).
% 9.94/7.39 tff(49779,plain,
% 9.94/7.39 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s400) | xuntil2p8(s400) | (~until2p7(s400)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s400) | xuntil2p8(s400) | (~until2p7(s400)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49780,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s400) | xuntil2p8(s400) | (~until2p7(s400)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49781,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s400) | xuntil2p8(s400) | (~until2p7(s400))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49780, 49779])).
% 9.94/7.39 tff(49782,plain,
% 9.94/7.39 (xuntil2p8(s400) | (~until2p7(s400))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49781, 49280, 48405])).
% 9.94/7.39 tff(49783,plain,
% 9.94/7.39 (~until2p7(s400)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49782, 49778])).
% 9.94/7.39 tff(49784,plain,
% 9.94/7.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s399, s400)) | until2p7(s400) | (~xuntil2p8(s399)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s399, s400)) | until2p7(s400) | (~xuntil2p8(s399)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49785,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s399, s400)) | until2p7(s400) | (~xuntil2p8(s399)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49786,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s399, s400)) | until2p7(s400) | (~xuntil2p8(s399))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49785, 49784])).
% 9.94/7.39 tff(49787,plain,
% 9.94/7.39 (until2p7(s400) | (~xuntil2p8(s399))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49786, 44984, 49295])).
% 9.94/7.39 tff(49788,plain,
% 9.94/7.39 (~xuntil2p8(s399)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49787, 49783])).
% 9.94/7.39 tff(49789,plain,
% 9.94/7.39 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s399) | xuntil2p8(s399) | (~until2p7(s399)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s399) | xuntil2p8(s399) | (~until2p7(s399)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49790,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s399) | xuntil2p8(s399) | (~until2p7(s399)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49791,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s399) | xuntil2p8(s399) | (~until2p7(s399))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49790, 49789])).
% 9.94/7.39 tff(49792,plain,
% 9.94/7.39 (xuntil2p8(s399) | (~until2p7(s399))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49791, 49280, 48388])).
% 9.94/7.39 tff(49793,plain,
% 9.94/7.39 (~until2p7(s399)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49792, 49788])).
% 9.94/7.39 tff(49794,plain,
% 9.94/7.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s398, s399)) | until2p7(s399) | (~xuntil2p8(s398)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s398, s399)) | until2p7(s399) | (~xuntil2p8(s398)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49795,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s398, s399)) | until2p7(s399) | (~xuntil2p8(s398)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49796,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s398, s399)) | until2p7(s399) | (~xuntil2p8(s398))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49795, 49794])).
% 9.94/7.39 tff(49797,plain,
% 9.94/7.39 (until2p7(s399) | (~xuntil2p8(s398))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49796, 44996, 49295])).
% 9.94/7.39 tff(49798,plain,
% 9.94/7.39 (~xuntil2p8(s398)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49797, 49793])).
% 9.94/7.39 tff(49799,plain,
% 9.94/7.39 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s398) | xuntil2p8(s398) | (~until2p7(s398)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s398) | xuntil2p8(s398) | (~until2p7(s398)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49800,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s398) | xuntil2p8(s398) | (~until2p7(s398)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49801,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s398) | xuntil2p8(s398) | (~until2p7(s398))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49800, 49799])).
% 9.94/7.39 tff(49802,plain,
% 9.94/7.39 (xuntil2p8(s398) | (~until2p7(s398))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49801, 49280, 48371])).
% 9.94/7.39 tff(49803,plain,
% 9.94/7.39 (~until2p7(s398)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49802, 49798])).
% 9.94/7.39 tff(49804,plain,
% 9.94/7.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s397, s398)) | until2p7(s398) | (~xuntil2p8(s397)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s397, s398)) | until2p7(s398) | (~xuntil2p8(s397)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49805,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s397, s398)) | until2p7(s398) | (~xuntil2p8(s397)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49806,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s397, s398)) | until2p7(s398) | (~xuntil2p8(s397))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49805, 49804])).
% 9.94/7.39 tff(49807,plain,
% 9.94/7.39 (until2p7(s398) | (~xuntil2p8(s397))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49806, 45008, 49295])).
% 9.94/7.39 tff(49808,plain,
% 9.94/7.39 (~xuntil2p8(s397)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49807, 49803])).
% 9.94/7.39 tff(49809,plain,
% 9.94/7.39 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s397) | xuntil2p8(s397) | (~until2p7(s397)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s397) | xuntil2p8(s397) | (~until2p7(s397)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49810,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s397) | xuntil2p8(s397) | (~until2p7(s397)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49811,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s397) | xuntil2p8(s397) | (~until2p7(s397))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49810, 49809])).
% 9.94/7.39 tff(49812,plain,
% 9.94/7.39 (xuntil2p8(s397) | (~until2p7(s397))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49811, 49280, 48354])).
% 9.94/7.39 tff(49813,plain,
% 9.94/7.39 (~until2p7(s397)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49812, 49808])).
% 9.94/7.39 tff(49814,plain,
% 9.94/7.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s396, s397)) | until2p7(s397) | (~xuntil2p8(s396)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s396, s397)) | until2p7(s397) | (~xuntil2p8(s396)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49815,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s396, s397)) | until2p7(s397) | (~xuntil2p8(s396)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49816,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s396, s397)) | until2p7(s397) | (~xuntil2p8(s396))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49815, 49814])).
% 9.94/7.39 tff(49817,plain,
% 9.94/7.39 (until2p7(s397) | (~xuntil2p8(s396))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49816, 45020, 49295])).
% 9.94/7.39 tff(49818,plain,
% 9.94/7.39 (~xuntil2p8(s396)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49817, 49813])).
% 9.94/7.39 tff(49819,plain,
% 9.94/7.39 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s396) | xuntil2p8(s396) | (~until2p7(s396)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s396) | xuntil2p8(s396) | (~until2p7(s396)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49820,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s396) | xuntil2p8(s396) | (~until2p7(s396)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49821,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s396) | xuntil2p8(s396) | (~until2p7(s396))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49820, 49819])).
% 9.94/7.39 tff(49822,plain,
% 9.94/7.39 (xuntil2p8(s396) | (~until2p7(s396))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49821, 49280, 48337])).
% 9.94/7.39 tff(49823,plain,
% 9.94/7.39 (~until2p7(s396)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49822, 49818])).
% 9.94/7.39 tff(49824,plain,
% 9.94/7.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s395, s396)) | until2p7(s396) | (~xuntil2p8(s395)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s395, s396)) | until2p7(s396) | (~xuntil2p8(s395)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49825,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s395, s396)) | until2p7(s396) | (~xuntil2p8(s395)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49826,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s395, s396)) | until2p7(s396) | (~xuntil2p8(s395))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49825, 49824])).
% 9.94/7.39 tff(49827,plain,
% 9.94/7.39 (until2p7(s396) | (~xuntil2p8(s395))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49826, 45032, 49295])).
% 9.94/7.39 tff(49828,plain,
% 9.94/7.39 (~xuntil2p8(s395)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49827, 49823])).
% 9.94/7.39 tff(49829,plain,
% 9.94/7.39 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s395) | xuntil2p8(s395) | (~until2p7(s395)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s395) | xuntil2p8(s395) | (~until2p7(s395)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49830,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s395) | xuntil2p8(s395) | (~until2p7(s395)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49831,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s395) | xuntil2p8(s395) | (~until2p7(s395))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49830, 49829])).
% 9.94/7.39 tff(49832,plain,
% 9.94/7.39 (xuntil2p8(s395) | (~until2p7(s395))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49831, 49280, 48320])).
% 9.94/7.39 tff(49833,plain,
% 9.94/7.39 (~until2p7(s395)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49832, 49828])).
% 9.94/7.39 tff(49834,plain,
% 9.94/7.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s394, s395)) | until2p7(s395) | (~xuntil2p8(s394)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s394, s395)) | until2p7(s395) | (~xuntil2p8(s394)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49835,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s394, s395)) | until2p7(s395) | (~xuntil2p8(s394)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49836,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s394, s395)) | until2p7(s395) | (~xuntil2p8(s394))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49835, 49834])).
% 9.94/7.39 tff(49837,plain,
% 9.94/7.39 (until2p7(s395) | (~xuntil2p8(s394))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49836, 45044, 49295])).
% 9.94/7.39 tff(49838,plain,
% 9.94/7.39 (~xuntil2p8(s394)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49837, 49833])).
% 9.94/7.39 tff(49839,plain,
% 9.94/7.39 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s394) | xuntil2p8(s394) | (~until2p7(s394)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s394) | xuntil2p8(s394) | (~until2p7(s394)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49840,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s394) | xuntil2p8(s394) | (~until2p7(s394)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49841,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s394) | xuntil2p8(s394) | (~until2p7(s394))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49840, 49839])).
% 9.94/7.39 tff(49842,plain,
% 9.94/7.39 (xuntil2p8(s394) | (~until2p7(s394))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49841, 49280, 48303])).
% 9.94/7.39 tff(49843,plain,
% 9.94/7.39 (~until2p7(s394)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49842, 49838])).
% 9.94/7.39 tff(49844,plain,
% 9.94/7.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s393, s394)) | until2p7(s394) | (~xuntil2p8(s393)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s393, s394)) | until2p7(s394) | (~xuntil2p8(s393)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49845,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s393, s394)) | until2p7(s394) | (~xuntil2p8(s393)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49846,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s393, s394)) | until2p7(s394) | (~xuntil2p8(s393))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49845, 49844])).
% 9.94/7.39 tff(49847,plain,
% 9.94/7.39 (until2p7(s394) | (~xuntil2p8(s393))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49846, 45056, 49295])).
% 9.94/7.39 tff(49848,plain,
% 9.94/7.39 (~xuntil2p8(s393)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49847, 49843])).
% 9.94/7.39 tff(49849,plain,
% 9.94/7.39 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s393) | xuntil2p8(s393) | (~until2p7(s393)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s393) | xuntil2p8(s393) | (~until2p7(s393)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49850,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s393) | xuntil2p8(s393) | (~until2p7(s393)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49851,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s393) | xuntil2p8(s393) | (~until2p7(s393))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49850, 49849])).
% 9.94/7.39 tff(49852,plain,
% 9.94/7.39 (xuntil2p8(s393) | (~until2p7(s393))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49851, 49280, 48286])).
% 9.94/7.39 tff(49853,plain,
% 9.94/7.39 (~until2p7(s393)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49852, 49848])).
% 9.94/7.39 tff(49854,plain,
% 9.94/7.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s392, s393)) | until2p7(s393) | (~xuntil2p8(s392)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s392, s393)) | until2p7(s393) | (~xuntil2p8(s392)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49855,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s392, s393)) | until2p7(s393) | (~xuntil2p8(s392)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49856,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s392, s393)) | until2p7(s393) | (~xuntil2p8(s392))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49855, 49854])).
% 9.94/7.39 tff(49857,plain,
% 9.94/7.39 (until2p7(s393) | (~xuntil2p8(s392))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49856, 45068, 49295])).
% 9.94/7.39 tff(49858,plain,
% 9.94/7.39 (~xuntil2p8(s392)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49857, 49853])).
% 9.94/7.39 tff(49859,plain,
% 9.94/7.39 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s392) | xuntil2p8(s392) | (~until2p7(s392)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s392) | xuntil2p8(s392) | (~until2p7(s392)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49860,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s392) | xuntil2p8(s392) | (~until2p7(s392)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49861,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s392) | xuntil2p8(s392) | (~until2p7(s392))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49860, 49859])).
% 9.94/7.39 tff(49862,plain,
% 9.94/7.39 (xuntil2p8(s392) | (~until2p7(s392))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49861, 49280, 48269])).
% 9.94/7.39 tff(49863,plain,
% 9.94/7.39 (~until2p7(s392)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49862, 49858])).
% 9.94/7.39 tff(49864,plain,
% 9.94/7.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s391, s392)) | until2p7(s392) | (~xuntil2p8(s391)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s391, s392)) | until2p7(s392) | (~xuntil2p8(s391)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49865,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s391, s392)) | until2p7(s392) | (~xuntil2p8(s391)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49866,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s391, s392)) | until2p7(s392) | (~xuntil2p8(s391))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49865, 49864])).
% 9.94/7.39 tff(49867,plain,
% 9.94/7.39 (until2p7(s392) | (~xuntil2p8(s391))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49866, 45080, 49295])).
% 9.94/7.39 tff(49868,plain,
% 9.94/7.39 (~xuntil2p8(s391)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49867, 49863])).
% 9.94/7.39 tff(49869,plain,
% 9.94/7.39 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s391) | xuntil2p8(s391) | (~until2p7(s391)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s391) | xuntil2p8(s391) | (~until2p7(s391)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49870,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s391) | xuntil2p8(s391) | (~until2p7(s391)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49871,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s391) | xuntil2p8(s391) | (~until2p7(s391))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49870, 49869])).
% 9.94/7.39 tff(49872,plain,
% 9.94/7.39 (xuntil2p8(s391) | (~until2p7(s391))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49871, 49280, 48252])).
% 9.94/7.39 tff(49873,plain,
% 9.94/7.39 (~until2p7(s391)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49872, 49868])).
% 9.94/7.39 tff(49874,plain,
% 9.94/7.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s390, s391)) | until2p7(s391) | (~xuntil2p8(s390)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s390, s391)) | until2p7(s391) | (~xuntil2p8(s390)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49875,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s390, s391)) | until2p7(s391) | (~xuntil2p8(s390)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.39 tff(49876,plain,
% 9.94/7.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s390, s391)) | until2p7(s391) | (~xuntil2p8(s390))),
% 9.94/7.39 inference(modus_ponens,[status(thm)],[49875, 49874])).
% 9.94/7.39 tff(49877,plain,
% 9.94/7.39 (until2p7(s391) | (~xuntil2p8(s390))),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49876, 45092, 49295])).
% 9.94/7.39 tff(49878,plain,
% 9.94/7.39 (~xuntil2p8(s390)),
% 9.94/7.39 inference(unit_resolution,[status(thm)],[49877, 49873])).
% 9.94/7.39 tff(49879,plain,
% 9.94/7.39 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s390) | xuntil2p8(s390) | (~until2p7(s390)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s390) | xuntil2p8(s390) | (~until2p7(s390)))),
% 9.94/7.39 inference(rewrite,[status(thm)],[])).
% 9.94/7.39 tff(49880,plain,
% 9.94/7.39 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s390) | xuntil2p8(s390) | (~until2p7(s390)))),
% 9.94/7.39 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(49881,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s390) | xuntil2p8(s390) | (~until2p7(s390))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[49880, 49879])).
% 9.94/7.40 tff(49882,plain,
% 9.94/7.40 (xuntil2p8(s390) | (~until2p7(s390))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49881, 49280, 48235])).
% 9.94/7.40 tff(49883,plain,
% 9.94/7.40 (~until2p7(s390)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49882, 49878])).
% 9.94/7.40 tff(49884,plain,
% 9.94/7.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s389, s390)) | until2p7(s390) | (~xuntil2p8(s389)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s389, s390)) | until2p7(s390) | (~xuntil2p8(s389)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(49885,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s389, s390)) | until2p7(s390) | (~xuntil2p8(s389)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(49886,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s389, s390)) | until2p7(s390) | (~xuntil2p8(s389))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[49885, 49884])).
% 9.94/7.40 tff(49887,plain,
% 9.94/7.40 (until2p7(s390) | (~xuntil2p8(s389))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49886, 45104, 49295])).
% 9.94/7.40 tff(49888,plain,
% 9.94/7.40 (~xuntil2p8(s389)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49887, 49883])).
% 9.94/7.40 tff(49889,plain,
% 9.94/7.40 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s389) | xuntil2p8(s389) | (~until2p7(s389)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s389) | xuntil2p8(s389) | (~until2p7(s389)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(49890,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s389) | xuntil2p8(s389) | (~until2p7(s389)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(49891,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s389) | xuntil2p8(s389) | (~until2p7(s389))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[49890, 49889])).
% 9.94/7.40 tff(49892,plain,
% 9.94/7.40 (xuntil2p8(s389) | (~until2p7(s389))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49891, 49280, 48218])).
% 9.94/7.40 tff(49893,plain,
% 9.94/7.40 (~until2p7(s389)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49892, 49888])).
% 9.94/7.40 tff(49894,plain,
% 9.94/7.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s388, s389)) | until2p7(s389) | (~xuntil2p8(s388)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s388, s389)) | until2p7(s389) | (~xuntil2p8(s388)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(49895,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s388, s389)) | until2p7(s389) | (~xuntil2p8(s388)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(49896,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s388, s389)) | until2p7(s389) | (~xuntil2p8(s388))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[49895, 49894])).
% 9.94/7.40 tff(49897,plain,
% 9.94/7.40 (until2p7(s389) | (~xuntil2p8(s388))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49896, 45116, 49295])).
% 9.94/7.40 tff(49898,plain,
% 9.94/7.40 (~xuntil2p8(s388)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49897, 49893])).
% 9.94/7.40 tff(49899,plain,
% 9.94/7.40 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s388) | xuntil2p8(s388) | (~until2p7(s388)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s388) | xuntil2p8(s388) | (~until2p7(s388)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(49900,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s388) | xuntil2p8(s388) | (~until2p7(s388)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(49901,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s388) | xuntil2p8(s388) | (~until2p7(s388))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[49900, 49899])).
% 9.94/7.40 tff(49902,plain,
% 9.94/7.40 (xuntil2p8(s388) | (~until2p7(s388))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49901, 49280, 48201])).
% 9.94/7.40 tff(49903,plain,
% 9.94/7.40 (~until2p7(s388)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49902, 49898])).
% 9.94/7.40 tff(49904,plain,
% 9.94/7.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s387, s388)) | until2p7(s388) | (~xuntil2p8(s387)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s387, s388)) | until2p7(s388) | (~xuntil2p8(s387)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(49905,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s387, s388)) | until2p7(s388) | (~xuntil2p8(s387)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(49906,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s387, s388)) | until2p7(s388) | (~xuntil2p8(s387))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[49905, 49904])).
% 9.94/7.40 tff(49907,plain,
% 9.94/7.40 (until2p7(s388) | (~xuntil2p8(s387))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49906, 45128, 49295])).
% 9.94/7.40 tff(49908,plain,
% 9.94/7.40 (~xuntil2p8(s387)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49907, 49903])).
% 9.94/7.40 tff(49909,plain,
% 9.94/7.40 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s387) | xuntil2p8(s387) | (~until2p7(s387)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s387) | xuntil2p8(s387) | (~until2p7(s387)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(49910,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s387) | xuntil2p8(s387) | (~until2p7(s387)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(49911,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s387) | xuntil2p8(s387) | (~until2p7(s387))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[49910, 49909])).
% 9.94/7.40 tff(49912,plain,
% 9.94/7.40 (xuntil2p8(s387) | (~until2p7(s387))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49911, 49280, 48184])).
% 9.94/7.40 tff(49913,plain,
% 9.94/7.40 (~until2p7(s387)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49912, 49908])).
% 9.94/7.40 tff(49914,plain,
% 9.94/7.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s386, s387)) | until2p7(s387) | (~xuntil2p8(s386)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s386, s387)) | until2p7(s387) | (~xuntil2p8(s386)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(49915,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s386, s387)) | until2p7(s387) | (~xuntil2p8(s386)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(49916,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s386, s387)) | until2p7(s387) | (~xuntil2p8(s386))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[49915, 49914])).
% 9.94/7.40 tff(49917,plain,
% 9.94/7.40 (until2p7(s387) | (~xuntil2p8(s386))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49916, 45140, 49295])).
% 9.94/7.40 tff(49918,plain,
% 9.94/7.40 (~xuntil2p8(s386)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49917, 49913])).
% 9.94/7.40 tff(49919,plain,
% 9.94/7.40 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s386) | xuntil2p8(s386) | (~until2p7(s386)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s386) | xuntil2p8(s386) | (~until2p7(s386)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(49920,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s386) | xuntil2p8(s386) | (~until2p7(s386)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(49921,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s386) | xuntil2p8(s386) | (~until2p7(s386))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[49920, 49919])).
% 9.94/7.40 tff(49922,plain,
% 9.94/7.40 (xuntil2p8(s386) | (~until2p7(s386))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49921, 49280, 48167])).
% 9.94/7.40 tff(49923,plain,
% 9.94/7.40 (~until2p7(s386)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49922, 49918])).
% 9.94/7.40 tff(49924,plain,
% 9.94/7.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s385, s386)) | until2p7(s386) | (~xuntil2p8(s385)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s385, s386)) | until2p7(s386) | (~xuntil2p8(s385)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(49925,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s385, s386)) | until2p7(s386) | (~xuntil2p8(s385)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(49926,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s385, s386)) | until2p7(s386) | (~xuntil2p8(s385))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[49925, 49924])).
% 9.94/7.40 tff(49927,plain,
% 9.94/7.40 (until2p7(s386) | (~xuntil2p8(s385))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49926, 45152, 49295])).
% 9.94/7.40 tff(49928,plain,
% 9.94/7.40 (~xuntil2p8(s385)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49927, 49923])).
% 9.94/7.40 tff(49929,plain,
% 9.94/7.40 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s385) | xuntil2p8(s385) | (~until2p7(s385)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s385) | xuntil2p8(s385) | (~until2p7(s385)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(49930,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s385) | xuntil2p8(s385) | (~until2p7(s385)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(49931,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s385) | xuntil2p8(s385) | (~until2p7(s385))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[49930, 49929])).
% 9.94/7.40 tff(49932,plain,
% 9.94/7.40 (xuntil2p8(s385) | (~until2p7(s385))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49931, 49280, 48150])).
% 9.94/7.40 tff(49933,plain,
% 9.94/7.40 (~until2p7(s385)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49932, 49928])).
% 9.94/7.40 tff(49934,plain,
% 9.94/7.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s384, s385)) | until2p7(s385) | (~xuntil2p8(s384)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s384, s385)) | until2p7(s385) | (~xuntil2p8(s384)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(49935,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s384, s385)) | until2p7(s385) | (~xuntil2p8(s384)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(49936,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s384, s385)) | until2p7(s385) | (~xuntil2p8(s384))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[49935, 49934])).
% 9.94/7.40 tff(49937,plain,
% 9.94/7.40 (until2p7(s385) | (~xuntil2p8(s384))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49936, 45164, 49295])).
% 9.94/7.40 tff(49938,plain,
% 9.94/7.40 (~xuntil2p8(s384)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49937, 49933])).
% 9.94/7.40 tff(49939,plain,
% 9.94/7.40 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s384) | xuntil2p8(s384) | (~until2p7(s384)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s384) | xuntil2p8(s384) | (~until2p7(s384)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(49940,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s384) | xuntil2p8(s384) | (~until2p7(s384)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(49941,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s384) | xuntil2p8(s384) | (~until2p7(s384))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[49940, 49939])).
% 9.94/7.40 tff(49942,plain,
% 9.94/7.40 (xuntil2p8(s384) | (~until2p7(s384))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49941, 49280, 48133])).
% 9.94/7.40 tff(49943,plain,
% 9.94/7.40 (~until2p7(s384)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49942, 49938])).
% 9.94/7.40 tff(49944,plain,
% 9.94/7.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s383, s384)) | until2p7(s384) | (~xuntil2p8(s383)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s383, s384)) | until2p7(s384) | (~xuntil2p8(s383)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(49945,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s383, s384)) | until2p7(s384) | (~xuntil2p8(s383)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(49946,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s383, s384)) | until2p7(s384) | (~xuntil2p8(s383))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[49945, 49944])).
% 9.94/7.40 tff(49947,plain,
% 9.94/7.40 (until2p7(s384) | (~xuntil2p8(s383))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49946, 45176, 49295])).
% 9.94/7.40 tff(49948,plain,
% 9.94/7.40 (~xuntil2p8(s383)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49947, 49943])).
% 9.94/7.40 tff(49949,plain,
% 9.94/7.40 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s383) | xuntil2p8(s383) | (~until2p7(s383)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s383) | xuntil2p8(s383) | (~until2p7(s383)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(49950,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s383) | xuntil2p8(s383) | (~until2p7(s383)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(49951,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s383) | xuntil2p8(s383) | (~until2p7(s383))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[49950, 49949])).
% 9.94/7.40 tff(49952,plain,
% 9.94/7.40 (xuntil2p8(s383) | (~until2p7(s383))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49951, 49280, 48116])).
% 9.94/7.40 tff(49953,plain,
% 9.94/7.40 (~until2p7(s383)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49952, 49948])).
% 9.94/7.40 tff(49954,plain,
% 9.94/7.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s382, s383)) | until2p7(s383) | (~xuntil2p8(s382)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s382, s383)) | until2p7(s383) | (~xuntil2p8(s382)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(49955,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s382, s383)) | until2p7(s383) | (~xuntil2p8(s382)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(49956,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s382, s383)) | until2p7(s383) | (~xuntil2p8(s382))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[49955, 49954])).
% 9.94/7.40 tff(49957,plain,
% 9.94/7.40 (until2p7(s383) | (~xuntil2p8(s382))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49956, 45188, 49295])).
% 9.94/7.40 tff(49958,plain,
% 9.94/7.40 (~xuntil2p8(s382)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49957, 49953])).
% 9.94/7.40 tff(49959,plain,
% 9.94/7.40 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s382) | xuntil2p8(s382) | (~until2p7(s382)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s382) | xuntil2p8(s382) | (~until2p7(s382)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(49960,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s382) | xuntil2p8(s382) | (~until2p7(s382)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(49961,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s382) | xuntil2p8(s382) | (~until2p7(s382))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[49960, 49959])).
% 9.94/7.40 tff(49962,plain,
% 9.94/7.40 (xuntil2p8(s382) | (~until2p7(s382))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49961, 49280, 48099])).
% 9.94/7.40 tff(49963,plain,
% 9.94/7.40 (~until2p7(s382)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49962, 49958])).
% 9.94/7.40 tff(49964,plain,
% 9.94/7.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s381, s382)) | until2p7(s382) | (~xuntil2p8(s381)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s381, s382)) | until2p7(s382) | (~xuntil2p8(s381)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(49965,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s381, s382)) | until2p7(s382) | (~xuntil2p8(s381)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(49966,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s381, s382)) | until2p7(s382) | (~xuntil2p8(s381))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[49965, 49964])).
% 9.94/7.40 tff(49967,plain,
% 9.94/7.40 (until2p7(s382) | (~xuntil2p8(s381))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49966, 45200, 49295])).
% 9.94/7.40 tff(49968,plain,
% 9.94/7.40 (~xuntil2p8(s381)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49967, 49963])).
% 9.94/7.40 tff(49969,plain,
% 9.94/7.40 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s381) | xuntil2p8(s381) | (~until2p7(s381)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s381) | xuntil2p8(s381) | (~until2p7(s381)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(49970,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s381) | xuntil2p8(s381) | (~until2p7(s381)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(49971,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s381) | xuntil2p8(s381) | (~until2p7(s381))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[49970, 49969])).
% 9.94/7.40 tff(49972,plain,
% 9.94/7.40 (xuntil2p8(s381) | (~until2p7(s381))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49971, 49280, 48082])).
% 9.94/7.40 tff(49973,plain,
% 9.94/7.40 (~until2p7(s381)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49972, 49968])).
% 9.94/7.40 tff(49974,plain,
% 9.94/7.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s380, s381)) | until2p7(s381) | (~xuntil2p8(s380)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s380, s381)) | until2p7(s381) | (~xuntil2p8(s380)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(49975,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s380, s381)) | until2p7(s381) | (~xuntil2p8(s380)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(49976,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s380, s381)) | until2p7(s381) | (~xuntil2p8(s380))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[49975, 49974])).
% 9.94/7.40 tff(49977,plain,
% 9.94/7.40 (until2p7(s381) | (~xuntil2p8(s380))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49976, 45212, 49295])).
% 9.94/7.40 tff(49978,plain,
% 9.94/7.40 (~xuntil2p8(s380)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49977, 49973])).
% 9.94/7.40 tff(49979,plain,
% 9.94/7.40 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s380) | xuntil2p8(s380) | (~until2p7(s380)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s380) | xuntil2p8(s380) | (~until2p7(s380)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(49980,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s380) | xuntil2p8(s380) | (~until2p7(s380)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(49981,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s380) | xuntil2p8(s380) | (~until2p7(s380))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[49980, 49979])).
% 9.94/7.40 tff(49982,plain,
% 9.94/7.40 (xuntil2p8(s380) | (~until2p7(s380))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49981, 49280, 48065])).
% 9.94/7.40 tff(49983,plain,
% 9.94/7.40 (~until2p7(s380)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49982, 49978])).
% 9.94/7.40 tff(49984,plain,
% 9.94/7.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s379, s380)) | until2p7(s380) | (~xuntil2p8(s379)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s379, s380)) | until2p7(s380) | (~xuntil2p8(s379)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(49985,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s379, s380)) | until2p7(s380) | (~xuntil2p8(s379)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(49986,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s379, s380)) | until2p7(s380) | (~xuntil2p8(s379))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[49985, 49984])).
% 9.94/7.40 tff(49987,plain,
% 9.94/7.40 (until2p7(s380) | (~xuntil2p8(s379))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49986, 45224, 49295])).
% 9.94/7.40 tff(49988,plain,
% 9.94/7.40 (~xuntil2p8(s379)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49987, 49983])).
% 9.94/7.40 tff(49989,plain,
% 9.94/7.40 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s379) | xuntil2p8(s379) | (~until2p7(s379)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s379) | xuntil2p8(s379) | (~until2p7(s379)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(49990,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s379) | xuntil2p8(s379) | (~until2p7(s379)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(49991,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s379) | xuntil2p8(s379) | (~until2p7(s379))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[49990, 49989])).
% 9.94/7.40 tff(49992,plain,
% 9.94/7.40 (xuntil2p8(s379) | (~until2p7(s379))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49991, 49280, 48048])).
% 9.94/7.40 tff(49993,plain,
% 9.94/7.40 (~until2p7(s379)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49992, 49988])).
% 9.94/7.40 tff(49994,plain,
% 9.94/7.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s378, s379)) | until2p7(s379) | (~xuntil2p8(s378)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s378, s379)) | until2p7(s379) | (~xuntil2p8(s378)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(49995,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s378, s379)) | until2p7(s379) | (~xuntil2p8(s378)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(49996,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s378, s379)) | until2p7(s379) | (~xuntil2p8(s378))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[49995, 49994])).
% 9.94/7.40 tff(49997,plain,
% 9.94/7.40 (until2p7(s379) | (~xuntil2p8(s378))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49996, 45236, 49295])).
% 9.94/7.40 tff(49998,plain,
% 9.94/7.40 (~xuntil2p8(s378)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[49997, 49993])).
% 9.94/7.40 tff(49999,plain,
% 9.94/7.40 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s378) | xuntil2p8(s378) | (~until2p7(s378)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s378) | xuntil2p8(s378) | (~until2p7(s378)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(50000,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s378) | xuntil2p8(s378) | (~until2p7(s378)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(50001,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s378) | xuntil2p8(s378) | (~until2p7(s378))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[50000, 49999])).
% 9.94/7.40 tff(50002,plain,
% 9.94/7.40 (xuntil2p8(s378) | (~until2p7(s378))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50001, 49280, 48031])).
% 9.94/7.40 tff(50003,plain,
% 9.94/7.40 (~until2p7(s378)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50002, 49998])).
% 9.94/7.40 tff(50004,plain,
% 9.94/7.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s377, s378)) | until2p7(s378) | (~xuntil2p8(s377)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s377, s378)) | until2p7(s378) | (~xuntil2p8(s377)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(50005,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s377, s378)) | until2p7(s378) | (~xuntil2p8(s377)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(50006,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s377, s378)) | until2p7(s378) | (~xuntil2p8(s377))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[50005, 50004])).
% 9.94/7.40 tff(50007,plain,
% 9.94/7.40 (until2p7(s378) | (~xuntil2p8(s377))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50006, 45248, 49295])).
% 9.94/7.40 tff(50008,plain,
% 9.94/7.40 (~xuntil2p8(s377)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50007, 50003])).
% 9.94/7.40 tff(50009,plain,
% 9.94/7.40 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s377) | xuntil2p8(s377) | (~until2p7(s377)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s377) | xuntil2p8(s377) | (~until2p7(s377)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(50010,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s377) | xuntil2p8(s377) | (~until2p7(s377)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(50011,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s377) | xuntil2p8(s377) | (~until2p7(s377))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[50010, 50009])).
% 9.94/7.40 tff(50012,plain,
% 9.94/7.40 (xuntil2p8(s377) | (~until2p7(s377))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50011, 49280, 48014])).
% 9.94/7.40 tff(50013,plain,
% 9.94/7.40 (~until2p7(s377)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50012, 50008])).
% 9.94/7.40 tff(50014,plain,
% 9.94/7.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s376, s377)) | until2p7(s377) | (~xuntil2p8(s376)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s376, s377)) | until2p7(s377) | (~xuntil2p8(s376)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(50015,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s376, s377)) | until2p7(s377) | (~xuntil2p8(s376)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(50016,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s376, s377)) | until2p7(s377) | (~xuntil2p8(s376))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[50015, 50014])).
% 9.94/7.40 tff(50017,plain,
% 9.94/7.40 (until2p7(s377) | (~xuntil2p8(s376))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50016, 45260, 49295])).
% 9.94/7.40 tff(50018,plain,
% 9.94/7.40 (~xuntil2p8(s376)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50017, 50013])).
% 9.94/7.40 tff(50019,plain,
% 9.94/7.40 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s376) | xuntil2p8(s376) | (~until2p7(s376)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s376) | xuntil2p8(s376) | (~until2p7(s376)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(50020,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s376) | xuntil2p8(s376) | (~until2p7(s376)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(50021,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s376) | xuntil2p8(s376) | (~until2p7(s376))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[50020, 50019])).
% 9.94/7.40 tff(50022,plain,
% 9.94/7.40 (xuntil2p8(s376) | (~until2p7(s376))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50021, 49280, 47997])).
% 9.94/7.40 tff(50023,plain,
% 9.94/7.40 (~until2p7(s376)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50022, 50018])).
% 9.94/7.40 tff(50024,plain,
% 9.94/7.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s375, s376)) | until2p7(s376) | (~xuntil2p8(s375)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s375, s376)) | until2p7(s376) | (~xuntil2p8(s375)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(50025,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s375, s376)) | until2p7(s376) | (~xuntil2p8(s375)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(50026,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s375, s376)) | until2p7(s376) | (~xuntil2p8(s375))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[50025, 50024])).
% 9.94/7.40 tff(50027,plain,
% 9.94/7.40 (until2p7(s376) | (~xuntil2p8(s375))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50026, 45272, 49295])).
% 9.94/7.40 tff(50028,plain,
% 9.94/7.40 (~xuntil2p8(s375)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50027, 50023])).
% 9.94/7.40 tff(50029,plain,
% 9.94/7.40 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s375) | xuntil2p8(s375) | (~until2p7(s375)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s375) | xuntil2p8(s375) | (~until2p7(s375)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(50030,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s375) | xuntil2p8(s375) | (~until2p7(s375)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(50031,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s375) | xuntil2p8(s375) | (~until2p7(s375))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[50030, 50029])).
% 9.94/7.40 tff(50032,plain,
% 9.94/7.40 (xuntil2p8(s375) | (~until2p7(s375))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50031, 49280, 47980])).
% 9.94/7.40 tff(50033,plain,
% 9.94/7.40 (~until2p7(s375)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50032, 50028])).
% 9.94/7.40 tff(50034,plain,
% 9.94/7.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s374, s375)) | until2p7(s375) | (~xuntil2p8(s374)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s374, s375)) | until2p7(s375) | (~xuntil2p8(s374)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(50035,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s374, s375)) | until2p7(s375) | (~xuntil2p8(s374)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(50036,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s374, s375)) | until2p7(s375) | (~xuntil2p8(s374))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[50035, 50034])).
% 9.94/7.40 tff(50037,plain,
% 9.94/7.40 (until2p7(s375) | (~xuntil2p8(s374))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50036, 45284, 49295])).
% 9.94/7.40 tff(50038,plain,
% 9.94/7.40 (~xuntil2p8(s374)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50037, 50033])).
% 9.94/7.40 tff(50039,plain,
% 9.94/7.40 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s374) | xuntil2p8(s374) | (~until2p7(s374)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s374) | xuntil2p8(s374) | (~until2p7(s374)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(50040,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s374) | xuntil2p8(s374) | (~until2p7(s374)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(50041,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s374) | xuntil2p8(s374) | (~until2p7(s374))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[50040, 50039])).
% 9.94/7.40 tff(50042,plain,
% 9.94/7.40 (xuntil2p8(s374) | (~until2p7(s374))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50041, 49280, 47963])).
% 9.94/7.40 tff(50043,plain,
% 9.94/7.40 (~until2p7(s374)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50042, 50038])).
% 9.94/7.40 tff(50044,plain,
% 9.94/7.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s373, s374)) | until2p7(s374) | (~xuntil2p8(s373)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s373, s374)) | until2p7(s374) | (~xuntil2p8(s373)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(50045,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s373, s374)) | until2p7(s374) | (~xuntil2p8(s373)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(50046,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s373, s374)) | until2p7(s374) | (~xuntil2p8(s373))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[50045, 50044])).
% 9.94/7.40 tff(50047,plain,
% 9.94/7.40 (until2p7(s374) | (~xuntil2p8(s373))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50046, 45296, 49295])).
% 9.94/7.40 tff(50048,plain,
% 9.94/7.40 (~xuntil2p8(s373)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50047, 50043])).
% 9.94/7.40 tff(50049,plain,
% 9.94/7.40 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s373) | xuntil2p8(s373) | (~until2p7(s373)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s373) | xuntil2p8(s373) | (~until2p7(s373)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(50050,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s373) | xuntil2p8(s373) | (~until2p7(s373)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(50051,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s373) | xuntil2p8(s373) | (~until2p7(s373))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[50050, 50049])).
% 9.94/7.40 tff(50052,plain,
% 9.94/7.40 (xuntil2p8(s373) | (~until2p7(s373))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50051, 49280, 47946])).
% 9.94/7.40 tff(50053,plain,
% 9.94/7.40 (~until2p7(s373)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50052, 50048])).
% 9.94/7.40 tff(50054,plain,
% 9.94/7.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s372, s373)) | until2p7(s373) | (~xuntil2p8(s372)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s372, s373)) | until2p7(s373) | (~xuntil2p8(s372)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(50055,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s372, s373)) | until2p7(s373) | (~xuntil2p8(s372)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(50056,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s372, s373)) | until2p7(s373) | (~xuntil2p8(s372))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[50055, 50054])).
% 9.94/7.40 tff(50057,plain,
% 9.94/7.40 (until2p7(s373) | (~xuntil2p8(s372))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50056, 45308, 49295])).
% 9.94/7.40 tff(50058,plain,
% 9.94/7.40 (~xuntil2p8(s372)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50057, 50053])).
% 9.94/7.40 tff(50059,plain,
% 9.94/7.40 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s372) | xuntil2p8(s372) | (~until2p7(s372)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s372) | xuntil2p8(s372) | (~until2p7(s372)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(50060,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s372) | xuntil2p8(s372) | (~until2p7(s372)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(50061,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s372) | xuntil2p8(s372) | (~until2p7(s372))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[50060, 50059])).
% 9.94/7.40 tff(50062,plain,
% 9.94/7.40 (xuntil2p8(s372) | (~until2p7(s372))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50061, 49280, 47929])).
% 9.94/7.40 tff(50063,plain,
% 9.94/7.40 (~until2p7(s372)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50062, 50058])).
% 9.94/7.40 tff(50064,plain,
% 9.94/7.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s371, s372)) | until2p7(s372) | (~xuntil2p8(s371)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s371, s372)) | until2p7(s372) | (~xuntil2p8(s371)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(50065,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s371, s372)) | until2p7(s372) | (~xuntil2p8(s371)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(50066,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s371, s372)) | until2p7(s372) | (~xuntil2p8(s371))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[50065, 50064])).
% 9.94/7.40 tff(50067,plain,
% 9.94/7.40 (until2p7(s372) | (~xuntil2p8(s371))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50066, 45320, 49295])).
% 9.94/7.40 tff(50068,plain,
% 9.94/7.40 (~xuntil2p8(s371)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50067, 50063])).
% 9.94/7.40 tff(50069,plain,
% 9.94/7.40 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s371) | xuntil2p8(s371) | (~until2p7(s371)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s371) | xuntil2p8(s371) | (~until2p7(s371)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(50070,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s371) | xuntil2p8(s371) | (~until2p7(s371)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(50071,plain,
% 9.94/7.40 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s371) | xuntil2p8(s371) | (~until2p7(s371))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[50070, 50069])).
% 9.94/7.40 tff(50072,plain,
% 9.94/7.40 (xuntil2p8(s371) | (~until2p7(s371))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50071, 49280, 47912])).
% 9.94/7.40 tff(50073,plain,
% 9.94/7.40 (~until2p7(s371)),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50072, 50068])).
% 9.94/7.40 tff(50074,plain,
% 9.94/7.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s370, s371)) | until2p7(s371) | (~xuntil2p8(s370)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s370, s371)) | until2p7(s371) | (~xuntil2p8(s370)))),
% 9.94/7.40 inference(rewrite,[status(thm)],[])).
% 9.94/7.40 tff(50075,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s370, s371)) | until2p7(s371) | (~xuntil2p8(s370)))),
% 9.94/7.40 inference(quant_inst,[status(thm)],[])).
% 9.94/7.40 tff(50076,plain,
% 9.94/7.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s370, s371)) | until2p7(s371) | (~xuntil2p8(s370))),
% 9.94/7.40 inference(modus_ponens,[status(thm)],[50075, 50074])).
% 9.94/7.40 tff(50077,plain,
% 9.94/7.40 (until2p7(s371) | (~xuntil2p8(s370))),
% 9.94/7.40 inference(unit_resolution,[status(thm)],[50076, 45332, 49295])).
% 9.94/7.41 tff(50078,plain,
% 9.94/7.41 (~xuntil2p8(s370)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50077, 50073])).
% 9.94/7.41 tff(50079,plain,
% 9.94/7.41 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s370) | xuntil2p8(s370) | (~until2p7(s370)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s370) | xuntil2p8(s370) | (~until2p7(s370)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50080,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s370) | xuntil2p8(s370) | (~until2p7(s370)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50081,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s370) | xuntil2p8(s370) | (~until2p7(s370))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50080, 50079])).
% 9.94/7.41 tff(50082,plain,
% 9.94/7.41 (xuntil2p8(s370) | (~until2p7(s370))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50081, 49280, 47895])).
% 9.94/7.41 tff(50083,plain,
% 9.94/7.41 (~until2p7(s370)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50082, 50078])).
% 9.94/7.41 tff(50084,plain,
% 9.94/7.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s369, s370)) | until2p7(s370) | (~xuntil2p8(s369)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s369, s370)) | until2p7(s370) | (~xuntil2p8(s369)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50085,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s369, s370)) | until2p7(s370) | (~xuntil2p8(s369)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50086,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s369, s370)) | until2p7(s370) | (~xuntil2p8(s369))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50085, 50084])).
% 9.94/7.41 tff(50087,plain,
% 9.94/7.41 (until2p7(s370) | (~xuntil2p8(s369))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50086, 45344, 49295])).
% 9.94/7.41 tff(50088,plain,
% 9.94/7.41 (~xuntil2p8(s369)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50087, 50083])).
% 9.94/7.41 tff(50089,plain,
% 9.94/7.41 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s369) | xuntil2p8(s369) | (~until2p7(s369)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s369) | xuntil2p8(s369) | (~until2p7(s369)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50090,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s369) | xuntil2p8(s369) | (~until2p7(s369)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50091,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s369) | xuntil2p8(s369) | (~until2p7(s369))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50090, 50089])).
% 9.94/7.41 tff(50092,plain,
% 9.94/7.41 (xuntil2p8(s369) | (~until2p7(s369))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50091, 49280, 47878])).
% 9.94/7.41 tff(50093,plain,
% 9.94/7.41 (~until2p7(s369)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50092, 50088])).
% 9.94/7.41 tff(50094,plain,
% 9.94/7.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s368, s369)) | until2p7(s369) | (~xuntil2p8(s368)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s368, s369)) | until2p7(s369) | (~xuntil2p8(s368)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50095,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s368, s369)) | until2p7(s369) | (~xuntil2p8(s368)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50096,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s368, s369)) | until2p7(s369) | (~xuntil2p8(s368))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50095, 50094])).
% 9.94/7.41 tff(50097,plain,
% 9.94/7.41 (until2p7(s369) | (~xuntil2p8(s368))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50096, 45356, 49295])).
% 9.94/7.41 tff(50098,plain,
% 9.94/7.41 (~xuntil2p8(s368)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50097, 50093])).
% 9.94/7.41 tff(50099,plain,
% 9.94/7.41 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s368) | xuntil2p8(s368) | (~until2p7(s368)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s368) | xuntil2p8(s368) | (~until2p7(s368)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50100,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s368) | xuntil2p8(s368) | (~until2p7(s368)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50101,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s368) | xuntil2p8(s368) | (~until2p7(s368))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50100, 50099])).
% 9.94/7.41 tff(50102,plain,
% 9.94/7.41 (xuntil2p8(s368) | (~until2p7(s368))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50101, 49280, 47861])).
% 9.94/7.41 tff(50103,plain,
% 9.94/7.41 (~until2p7(s368)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50102, 50098])).
% 9.94/7.41 tff(50104,plain,
% 9.94/7.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s367, s368)) | until2p7(s368) | (~xuntil2p8(s367)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s367, s368)) | until2p7(s368) | (~xuntil2p8(s367)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50105,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s367, s368)) | until2p7(s368) | (~xuntil2p8(s367)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50106,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s367, s368)) | until2p7(s368) | (~xuntil2p8(s367))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50105, 50104])).
% 9.94/7.41 tff(50107,plain,
% 9.94/7.41 (until2p7(s368) | (~xuntil2p8(s367))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50106, 45368, 49295])).
% 9.94/7.41 tff(50108,plain,
% 9.94/7.41 (~xuntil2p8(s367)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50107, 50103])).
% 9.94/7.41 tff(50109,plain,
% 9.94/7.41 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s367) | xuntil2p8(s367) | (~until2p7(s367)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s367) | xuntil2p8(s367) | (~until2p7(s367)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50110,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s367) | xuntil2p8(s367) | (~until2p7(s367)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50111,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s367) | xuntil2p8(s367) | (~until2p7(s367))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50110, 50109])).
% 9.94/7.41 tff(50112,plain,
% 9.94/7.41 (xuntil2p8(s367) | (~until2p7(s367))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50111, 49280, 47844])).
% 9.94/7.41 tff(50113,plain,
% 9.94/7.41 (~until2p7(s367)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50112, 50108])).
% 9.94/7.41 tff(50114,plain,
% 9.94/7.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s366, s367)) | until2p7(s367) | (~xuntil2p8(s366)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s366, s367)) | until2p7(s367) | (~xuntil2p8(s366)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50115,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s366, s367)) | until2p7(s367) | (~xuntil2p8(s366)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50116,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s366, s367)) | until2p7(s367) | (~xuntil2p8(s366))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50115, 50114])).
% 9.94/7.41 tff(50117,plain,
% 9.94/7.41 (until2p7(s367) | (~xuntil2p8(s366))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50116, 45380, 49295])).
% 9.94/7.41 tff(50118,plain,
% 9.94/7.41 (~xuntil2p8(s366)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50117, 50113])).
% 9.94/7.41 tff(50119,plain,
% 9.94/7.41 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s366) | xuntil2p8(s366) | (~until2p7(s366)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s366) | xuntil2p8(s366) | (~until2p7(s366)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50120,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s366) | xuntil2p8(s366) | (~until2p7(s366)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50121,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s366) | xuntil2p8(s366) | (~until2p7(s366))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50120, 50119])).
% 9.94/7.41 tff(50122,plain,
% 9.94/7.41 (xuntil2p8(s366) | (~until2p7(s366))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50121, 49280, 47827])).
% 9.94/7.41 tff(50123,plain,
% 9.94/7.41 (~until2p7(s366)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50122, 50118])).
% 9.94/7.41 tff(50124,plain,
% 9.94/7.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s365, s366)) | until2p7(s366) | (~xuntil2p8(s365)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s365, s366)) | until2p7(s366) | (~xuntil2p8(s365)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50125,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s365, s366)) | until2p7(s366) | (~xuntil2p8(s365)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50126,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s365, s366)) | until2p7(s366) | (~xuntil2p8(s365))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50125, 50124])).
% 9.94/7.41 tff(50127,plain,
% 9.94/7.41 (until2p7(s366) | (~xuntil2p8(s365))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50126, 45392, 49295])).
% 9.94/7.41 tff(50128,plain,
% 9.94/7.41 (~xuntil2p8(s365)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50127, 50123])).
% 9.94/7.41 tff(50129,plain,
% 9.94/7.41 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s365) | xuntil2p8(s365) | (~until2p7(s365)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s365) | xuntil2p8(s365) | (~until2p7(s365)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50130,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s365) | xuntil2p8(s365) | (~until2p7(s365)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50131,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s365) | xuntil2p8(s365) | (~until2p7(s365))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50130, 50129])).
% 9.94/7.41 tff(50132,plain,
% 9.94/7.41 (xuntil2p8(s365) | (~until2p7(s365))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50131, 49280, 47810])).
% 9.94/7.41 tff(50133,plain,
% 9.94/7.41 (~until2p7(s365)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50132, 50128])).
% 9.94/7.41 tff(50134,plain,
% 9.94/7.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s364, s365)) | until2p7(s365) | (~xuntil2p8(s364)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s364, s365)) | until2p7(s365) | (~xuntil2p8(s364)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50135,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s364, s365)) | until2p7(s365) | (~xuntil2p8(s364)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50136,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s364, s365)) | until2p7(s365) | (~xuntil2p8(s364))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50135, 50134])).
% 9.94/7.41 tff(50137,plain,
% 9.94/7.41 (until2p7(s365) | (~xuntil2p8(s364))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50136, 45404, 49295])).
% 9.94/7.41 tff(50138,plain,
% 9.94/7.41 (~xuntil2p8(s364)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50137, 50133])).
% 9.94/7.41 tff(50139,plain,
% 9.94/7.41 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s364) | xuntil2p8(s364) | (~until2p7(s364)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s364) | xuntil2p8(s364) | (~until2p7(s364)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50140,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s364) | xuntil2p8(s364) | (~until2p7(s364)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50141,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s364) | xuntil2p8(s364) | (~until2p7(s364))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50140, 50139])).
% 9.94/7.41 tff(50142,plain,
% 9.94/7.41 (xuntil2p8(s364) | (~until2p7(s364))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50141, 49280, 47793])).
% 9.94/7.41 tff(50143,plain,
% 9.94/7.41 (~until2p7(s364)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50142, 50138])).
% 9.94/7.41 tff(50144,plain,
% 9.94/7.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s363, s364)) | until2p7(s364) | (~xuntil2p8(s363)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s363, s364)) | until2p7(s364) | (~xuntil2p8(s363)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50145,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s363, s364)) | until2p7(s364) | (~xuntil2p8(s363)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50146,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s363, s364)) | until2p7(s364) | (~xuntil2p8(s363))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50145, 50144])).
% 9.94/7.41 tff(50147,plain,
% 9.94/7.41 (until2p7(s364) | (~xuntil2p8(s363))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50146, 45416, 49295])).
% 9.94/7.41 tff(50148,plain,
% 9.94/7.41 (~xuntil2p8(s363)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50147, 50143])).
% 9.94/7.41 tff(50149,plain,
% 9.94/7.41 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s363) | xuntil2p8(s363) | (~until2p7(s363)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s363) | xuntil2p8(s363) | (~until2p7(s363)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50150,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s363) | xuntil2p8(s363) | (~until2p7(s363)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50151,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s363) | xuntil2p8(s363) | (~until2p7(s363))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50150, 50149])).
% 9.94/7.41 tff(50152,plain,
% 9.94/7.41 (xuntil2p8(s363) | (~until2p7(s363))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50151, 49280, 47776])).
% 9.94/7.41 tff(50153,plain,
% 9.94/7.41 (~until2p7(s363)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50152, 50148])).
% 9.94/7.41 tff(50154,plain,
% 9.94/7.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s362, s363)) | until2p7(s363) | (~xuntil2p8(s362)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s362, s363)) | until2p7(s363) | (~xuntil2p8(s362)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50155,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s362, s363)) | until2p7(s363) | (~xuntil2p8(s362)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50156,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s362, s363)) | until2p7(s363) | (~xuntil2p8(s362))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50155, 50154])).
% 9.94/7.41 tff(50157,plain,
% 9.94/7.41 (until2p7(s363) | (~xuntil2p8(s362))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50156, 45428, 49295])).
% 9.94/7.41 tff(50158,plain,
% 9.94/7.41 (~xuntil2p8(s362)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50157, 50153])).
% 9.94/7.41 tff(50159,plain,
% 9.94/7.41 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s362) | xuntil2p8(s362) | (~until2p7(s362)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s362) | xuntil2p8(s362) | (~until2p7(s362)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50160,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s362) | xuntil2p8(s362) | (~until2p7(s362)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50161,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s362) | xuntil2p8(s362) | (~until2p7(s362))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50160, 50159])).
% 9.94/7.41 tff(50162,plain,
% 9.94/7.41 (xuntil2p8(s362) | (~until2p7(s362))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50161, 49280, 47759])).
% 9.94/7.41 tff(50163,plain,
% 9.94/7.41 (~until2p7(s362)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50162, 50158])).
% 9.94/7.41 tff(50164,plain,
% 9.94/7.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s361, s362)) | until2p7(s362) | (~xuntil2p8(s361)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s361, s362)) | until2p7(s362) | (~xuntil2p8(s361)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50165,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s361, s362)) | until2p7(s362) | (~xuntil2p8(s361)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50166,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s361, s362)) | until2p7(s362) | (~xuntil2p8(s361))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50165, 50164])).
% 9.94/7.41 tff(50167,plain,
% 9.94/7.41 (until2p7(s362) | (~xuntil2p8(s361))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50166, 45440, 49295])).
% 9.94/7.41 tff(50168,plain,
% 9.94/7.41 (~xuntil2p8(s361)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50167, 50163])).
% 9.94/7.41 tff(50169,plain,
% 9.94/7.41 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s361) | xuntil2p8(s361) | (~until2p7(s361)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s361) | xuntil2p8(s361) | (~until2p7(s361)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50170,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s361) | xuntil2p8(s361) | (~until2p7(s361)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50171,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s361) | xuntil2p8(s361) | (~until2p7(s361))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50170, 50169])).
% 9.94/7.41 tff(50172,plain,
% 9.94/7.41 (xuntil2p8(s361) | (~until2p7(s361))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50171, 49280, 47742])).
% 9.94/7.41 tff(50173,plain,
% 9.94/7.41 (~until2p7(s361)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50172, 50168])).
% 9.94/7.41 tff(50174,plain,
% 9.94/7.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s360, s361)) | until2p7(s361) | (~xuntil2p8(s360)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s360, s361)) | until2p7(s361) | (~xuntil2p8(s360)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50175,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s360, s361)) | until2p7(s361) | (~xuntil2p8(s360)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50176,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s360, s361)) | until2p7(s361) | (~xuntil2p8(s360))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50175, 50174])).
% 9.94/7.41 tff(50177,plain,
% 9.94/7.41 (until2p7(s361) | (~xuntil2p8(s360))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50176, 45452, 49295])).
% 9.94/7.41 tff(50178,plain,
% 9.94/7.41 (~xuntil2p8(s360)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50177, 50173])).
% 9.94/7.41 tff(50179,plain,
% 9.94/7.41 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s360) | xuntil2p8(s360) | (~until2p7(s360)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s360) | xuntil2p8(s360) | (~until2p7(s360)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50180,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s360) | xuntil2p8(s360) | (~until2p7(s360)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50181,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s360) | xuntil2p8(s360) | (~until2p7(s360))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50180, 50179])).
% 9.94/7.41 tff(50182,plain,
% 9.94/7.41 (xuntil2p8(s360) | (~until2p7(s360))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50181, 49280, 47725])).
% 9.94/7.41 tff(50183,plain,
% 9.94/7.41 (~until2p7(s360)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50182, 50178])).
% 9.94/7.41 tff(50184,plain,
% 9.94/7.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s359, s360)) | until2p7(s360) | (~xuntil2p8(s359)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s359, s360)) | until2p7(s360) | (~xuntil2p8(s359)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50185,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s359, s360)) | until2p7(s360) | (~xuntil2p8(s359)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50186,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s359, s360)) | until2p7(s360) | (~xuntil2p8(s359))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50185, 50184])).
% 9.94/7.41 tff(50187,plain,
% 9.94/7.41 (until2p7(s360) | (~xuntil2p8(s359))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50186, 45464, 49295])).
% 9.94/7.41 tff(50188,plain,
% 9.94/7.41 (~xuntil2p8(s359)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50187, 50183])).
% 9.94/7.41 tff(50189,plain,
% 9.94/7.41 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s359) | xuntil2p8(s359) | (~until2p7(s359)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s359) | xuntil2p8(s359) | (~until2p7(s359)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50190,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s359) | xuntil2p8(s359) | (~until2p7(s359)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50191,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s359) | xuntil2p8(s359) | (~until2p7(s359))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50190, 50189])).
% 9.94/7.41 tff(50192,plain,
% 9.94/7.41 (xuntil2p8(s359) | (~until2p7(s359))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50191, 49280, 47708])).
% 9.94/7.41 tff(50193,plain,
% 9.94/7.41 (~until2p7(s359)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50192, 50188])).
% 9.94/7.41 tff(50194,plain,
% 9.94/7.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s358, s359)) | until2p7(s359) | (~xuntil2p8(s358)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s358, s359)) | until2p7(s359) | (~xuntil2p8(s358)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50195,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s358, s359)) | until2p7(s359) | (~xuntil2p8(s358)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50196,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s358, s359)) | until2p7(s359) | (~xuntil2p8(s358))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50195, 50194])).
% 9.94/7.41 tff(50197,plain,
% 9.94/7.41 (until2p7(s359) | (~xuntil2p8(s358))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50196, 45476, 49295])).
% 9.94/7.41 tff(50198,plain,
% 9.94/7.41 (~xuntil2p8(s358)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50197, 50193])).
% 9.94/7.41 tff(50199,plain,
% 9.94/7.41 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s358) | xuntil2p8(s358) | (~until2p7(s358)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s358) | xuntil2p8(s358) | (~until2p7(s358)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50200,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s358) | xuntil2p8(s358) | (~until2p7(s358)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50201,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s358) | xuntil2p8(s358) | (~until2p7(s358))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50200, 50199])).
% 9.94/7.41 tff(50202,plain,
% 9.94/7.41 (xuntil2p8(s358) | (~until2p7(s358))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50201, 49280, 47691])).
% 9.94/7.41 tff(50203,plain,
% 9.94/7.41 (~until2p7(s358)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50202, 50198])).
% 9.94/7.41 tff(50204,plain,
% 9.94/7.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s357, s358)) | until2p7(s358) | (~xuntil2p8(s357)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s357, s358)) | until2p7(s358) | (~xuntil2p8(s357)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50205,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s357, s358)) | until2p7(s358) | (~xuntil2p8(s357)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50206,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s357, s358)) | until2p7(s358) | (~xuntil2p8(s357))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50205, 50204])).
% 9.94/7.41 tff(50207,plain,
% 9.94/7.41 (until2p7(s358) | (~xuntil2p8(s357))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50206, 45488, 49295])).
% 9.94/7.41 tff(50208,plain,
% 9.94/7.41 (~xuntil2p8(s357)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50207, 50203])).
% 9.94/7.41 tff(50209,plain,
% 9.94/7.41 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s357) | xuntil2p8(s357) | (~until2p7(s357)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s357) | xuntil2p8(s357) | (~until2p7(s357)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50210,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s357) | xuntil2p8(s357) | (~until2p7(s357)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50211,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s357) | xuntil2p8(s357) | (~until2p7(s357))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50210, 50209])).
% 9.94/7.41 tff(50212,plain,
% 9.94/7.41 (xuntil2p8(s357) | (~until2p7(s357))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50211, 49280, 47674])).
% 9.94/7.41 tff(50213,plain,
% 9.94/7.41 (~until2p7(s357)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50212, 50208])).
% 9.94/7.41 tff(50214,plain,
% 9.94/7.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s356, s357)) | until2p7(s357) | (~xuntil2p8(s356)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s356, s357)) | until2p7(s357) | (~xuntil2p8(s356)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50215,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s356, s357)) | until2p7(s357) | (~xuntil2p8(s356)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50216,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s356, s357)) | until2p7(s357) | (~xuntil2p8(s356))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50215, 50214])).
% 9.94/7.41 tff(50217,plain,
% 9.94/7.41 (until2p7(s357) | (~xuntil2p8(s356))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50216, 45500, 49295])).
% 9.94/7.41 tff(50218,plain,
% 9.94/7.41 (~xuntil2p8(s356)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50217, 50213])).
% 9.94/7.41 tff(50219,plain,
% 9.94/7.41 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s356) | xuntil2p8(s356) | (~until2p7(s356)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s356) | xuntil2p8(s356) | (~until2p7(s356)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50220,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s356) | xuntil2p8(s356) | (~until2p7(s356)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50221,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s356) | xuntil2p8(s356) | (~until2p7(s356))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50220, 50219])).
% 9.94/7.41 tff(50222,plain,
% 9.94/7.41 (xuntil2p8(s356) | (~until2p7(s356))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50221, 49280, 47657])).
% 9.94/7.41 tff(50223,plain,
% 9.94/7.41 (~until2p7(s356)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50222, 50218])).
% 9.94/7.41 tff(50224,plain,
% 9.94/7.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s355, s356)) | until2p7(s356) | (~xuntil2p8(s355)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s355, s356)) | until2p7(s356) | (~xuntil2p8(s355)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50225,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s355, s356)) | until2p7(s356) | (~xuntil2p8(s355)))),
% 9.94/7.41 inference(quant_inst,[status(thm)],[])).
% 9.94/7.41 tff(50226,plain,
% 9.94/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s355, s356)) | until2p7(s356) | (~xuntil2p8(s355))),
% 9.94/7.41 inference(modus_ponens,[status(thm)],[50225, 50224])).
% 9.94/7.41 tff(50227,plain,
% 9.94/7.41 (until2p7(s356) | (~xuntil2p8(s355))),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50226, 45512, 49295])).
% 9.94/7.41 tff(50228,plain,
% 9.94/7.41 (~xuntil2p8(s355)),
% 9.94/7.41 inference(unit_resolution,[status(thm)],[50227, 50223])).
% 9.94/7.41 tff(50229,plain,
% 9.94/7.41 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s355) | xuntil2p8(s355) | (~until2p7(s355)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s355) | xuntil2p8(s355) | (~until2p7(s355)))),
% 9.94/7.41 inference(rewrite,[status(thm)],[])).
% 9.94/7.41 tff(50230,plain,
% 9.94/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s355) | xuntil2p8(s355) | (~until2p7(s355)))),
% 9.97/7.41 inference(quant_inst,[status(thm)],[])).
% 9.97/7.41 tff(50231,plain,
% 9.97/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s355) | xuntil2p8(s355) | (~until2p7(s355))),
% 9.97/7.41 inference(modus_ponens,[status(thm)],[50230, 50229])).
% 9.97/7.41 tff(50232,plain,
% 9.97/7.41 (xuntil2p8(s355) | (~until2p7(s355))),
% 9.97/7.41 inference(unit_resolution,[status(thm)],[50231, 49280, 47640])).
% 9.97/7.41 tff(50233,plain,
% 9.97/7.41 (~until2p7(s355)),
% 9.97/7.41 inference(unit_resolution,[status(thm)],[50232, 50228])).
% 9.97/7.41 tff(50234,plain,
% 9.97/7.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s354, s355)) | until2p7(s355) | (~xuntil2p8(s354)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s354, s355)) | until2p7(s355) | (~xuntil2p8(s354)))),
% 9.97/7.41 inference(rewrite,[status(thm)],[])).
% 9.97/7.41 tff(50235,plain,
% 9.97/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s354, s355)) | until2p7(s355) | (~xuntil2p8(s354)))),
% 9.97/7.41 inference(quant_inst,[status(thm)],[])).
% 9.97/7.41 tff(50236,plain,
% 9.97/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s354, s355)) | until2p7(s355) | (~xuntil2p8(s354))),
% 9.97/7.41 inference(modus_ponens,[status(thm)],[50235, 50234])).
% 9.97/7.41 tff(50237,plain,
% 9.97/7.41 (until2p7(s355) | (~xuntil2p8(s354))),
% 9.97/7.41 inference(unit_resolution,[status(thm)],[50236, 45524, 49295])).
% 9.97/7.41 tff(50238,plain,
% 9.97/7.41 (~xuntil2p8(s354)),
% 9.97/7.41 inference(unit_resolution,[status(thm)],[50237, 50233])).
% 9.97/7.41 tff(50239,plain,
% 9.97/7.41 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s354) | xuntil2p8(s354) | (~until2p7(s354)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s354) | xuntil2p8(s354) | (~until2p7(s354)))),
% 9.97/7.41 inference(rewrite,[status(thm)],[])).
% 9.97/7.41 tff(50240,plain,
% 9.97/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s354) | xuntil2p8(s354) | (~until2p7(s354)))),
% 9.97/7.41 inference(quant_inst,[status(thm)],[])).
% 9.97/7.41 tff(50241,plain,
% 9.97/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s354) | xuntil2p8(s354) | (~until2p7(s354))),
% 9.97/7.41 inference(modus_ponens,[status(thm)],[50240, 50239])).
% 9.97/7.41 tff(50242,plain,
% 9.97/7.41 (xuntil2p8(s354) | (~until2p7(s354))),
% 9.97/7.41 inference(unit_resolution,[status(thm)],[50241, 49280, 47623])).
% 9.97/7.41 tff(50243,plain,
% 9.97/7.41 (~until2p7(s354)),
% 9.97/7.41 inference(unit_resolution,[status(thm)],[50242, 50238])).
% 9.97/7.41 tff(50244,plain,
% 9.97/7.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s353, s354)) | until2p7(s354) | (~xuntil2p8(s353)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s353, s354)) | until2p7(s354) | (~xuntil2p8(s353)))),
% 9.97/7.41 inference(rewrite,[status(thm)],[])).
% 9.97/7.41 tff(50245,plain,
% 9.97/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s353, s354)) | until2p7(s354) | (~xuntil2p8(s353)))),
% 9.97/7.41 inference(quant_inst,[status(thm)],[])).
% 9.97/7.41 tff(50246,plain,
% 9.97/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s353, s354)) | until2p7(s354) | (~xuntil2p8(s353))),
% 9.97/7.41 inference(modus_ponens,[status(thm)],[50245, 50244])).
% 9.97/7.41 tff(50247,plain,
% 9.97/7.41 (until2p7(s354) | (~xuntil2p8(s353))),
% 9.97/7.41 inference(unit_resolution,[status(thm)],[50246, 45536, 49295])).
% 9.97/7.41 tff(50248,plain,
% 9.97/7.41 (~xuntil2p8(s353)),
% 9.97/7.41 inference(unit_resolution,[status(thm)],[50247, 50243])).
% 9.97/7.41 tff(50249,plain,
% 9.97/7.41 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s353) | xuntil2p8(s353) | (~until2p7(s353)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s353) | xuntil2p8(s353) | (~until2p7(s353)))),
% 9.97/7.41 inference(rewrite,[status(thm)],[])).
% 9.97/7.41 tff(50250,plain,
% 9.97/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s353) | xuntil2p8(s353) | (~until2p7(s353)))),
% 9.97/7.41 inference(quant_inst,[status(thm)],[])).
% 9.97/7.41 tff(50251,plain,
% 9.97/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s353) | xuntil2p8(s353) | (~until2p7(s353))),
% 9.97/7.41 inference(modus_ponens,[status(thm)],[50250, 50249])).
% 9.97/7.41 tff(50252,plain,
% 9.97/7.41 (xuntil2p8(s353) | (~until2p7(s353))),
% 9.97/7.41 inference(unit_resolution,[status(thm)],[50251, 49280, 47606])).
% 9.97/7.41 tff(50253,plain,
% 9.97/7.41 (~until2p7(s353)),
% 9.97/7.41 inference(unit_resolution,[status(thm)],[50252, 50248])).
% 9.97/7.41 tff(50254,plain,
% 9.97/7.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s352, s353)) | until2p7(s353) | (~xuntil2p8(s352)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s352, s353)) | until2p7(s353) | (~xuntil2p8(s352)))),
% 9.97/7.41 inference(rewrite,[status(thm)],[])).
% 9.97/7.41 tff(50255,plain,
% 9.97/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s352, s353)) | until2p7(s353) | (~xuntil2p8(s352)))),
% 9.97/7.41 inference(quant_inst,[status(thm)],[])).
% 9.97/7.41 tff(50256,plain,
% 9.97/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s352, s353)) | until2p7(s353) | (~xuntil2p8(s352))),
% 9.97/7.41 inference(modus_ponens,[status(thm)],[50255, 50254])).
% 9.97/7.41 tff(50257,plain,
% 9.97/7.41 (until2p7(s353) | (~xuntil2p8(s352))),
% 9.97/7.41 inference(unit_resolution,[status(thm)],[50256, 45548, 49295])).
% 9.97/7.41 tff(50258,plain,
% 9.97/7.41 (~xuntil2p8(s352)),
% 9.97/7.41 inference(unit_resolution,[status(thm)],[50257, 50253])).
% 9.97/7.41 tff(50259,plain,
% 9.97/7.41 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s352) | xuntil2p8(s352) | (~until2p7(s352)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s352) | xuntil2p8(s352) | (~until2p7(s352)))),
% 9.97/7.41 inference(rewrite,[status(thm)],[])).
% 9.97/7.41 tff(50260,plain,
% 9.97/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s352) | xuntil2p8(s352) | (~until2p7(s352)))),
% 9.97/7.41 inference(quant_inst,[status(thm)],[])).
% 9.97/7.41 tff(50261,plain,
% 9.97/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s352) | xuntil2p8(s352) | (~until2p7(s352))),
% 9.97/7.41 inference(modus_ponens,[status(thm)],[50260, 50259])).
% 9.97/7.41 tff(50262,plain,
% 9.97/7.41 (xuntil2p8(s352) | (~until2p7(s352))),
% 9.97/7.41 inference(unit_resolution,[status(thm)],[50261, 49280, 47589])).
% 9.97/7.41 tff(50263,plain,
% 9.97/7.41 (~until2p7(s352)),
% 9.97/7.41 inference(unit_resolution,[status(thm)],[50262, 50258])).
% 9.97/7.41 tff(50264,plain,
% 9.97/7.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s351, s352)) | until2p7(s352) | (~xuntil2p8(s351)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s351, s352)) | until2p7(s352) | (~xuntil2p8(s351)))),
% 9.97/7.41 inference(rewrite,[status(thm)],[])).
% 9.97/7.41 tff(50265,plain,
% 9.97/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s351, s352)) | until2p7(s352) | (~xuntil2p8(s351)))),
% 9.97/7.41 inference(quant_inst,[status(thm)],[])).
% 9.97/7.41 tff(50266,plain,
% 9.97/7.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s351, s352)) | until2p7(s352) | (~xuntil2p8(s351))),
% 9.97/7.41 inference(modus_ponens,[status(thm)],[50265, 50264])).
% 9.97/7.41 tff(50267,plain,
% 9.97/7.41 (until2p7(s352) | (~xuntil2p8(s351))),
% 9.97/7.41 inference(unit_resolution,[status(thm)],[50266, 45560, 49295])).
% 9.97/7.41 tff(50268,plain,
% 9.97/7.41 (~xuntil2p8(s351)),
% 9.97/7.41 inference(unit_resolution,[status(thm)],[50267, 50263])).
% 9.97/7.41 tff(50269,plain,
% 9.97/7.41 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s351) | xuntil2p8(s351) | (~until2p7(s351)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s351) | xuntil2p8(s351) | (~until2p7(s351)))),
% 9.97/7.41 inference(rewrite,[status(thm)],[])).
% 9.97/7.41 tff(50270,plain,
% 9.97/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s351) | xuntil2p8(s351) | (~until2p7(s351)))),
% 9.97/7.41 inference(quant_inst,[status(thm)],[])).
% 9.97/7.41 tff(50271,plain,
% 9.97/7.41 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s351) | xuntil2p8(s351) | (~until2p7(s351))),
% 9.97/7.41 inference(modus_ponens,[status(thm)],[50270, 50269])).
% 9.97/7.41 tff(50272,plain,
% 9.97/7.41 (xuntil2p8(s351) | (~until2p7(s351))),
% 9.97/7.41 inference(unit_resolution,[status(thm)],[50271, 49280, 47572])).
% 9.97/7.41 tff(50273,plain,
% 9.97/7.41 (~until2p7(s351)),
% 9.97/7.41 inference(unit_resolution,[status(thm)],[50272, 50268])).
% 9.97/7.41 tff(50274,plain,
% 9.97/7.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s350, s351)) | until2p7(s351) | (~xuntil2p8(s350)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s350, s351)) | until2p7(s351) | (~xuntil2p8(s350)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50275,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s350, s351)) | until2p7(s351) | (~xuntil2p8(s350)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50276,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s350, s351)) | until2p7(s351) | (~xuntil2p8(s350))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50275, 50274])).
% 9.97/7.42 tff(50277,plain,
% 9.97/7.42 (until2p7(s351) | (~xuntil2p8(s350))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50276, 45572, 49295])).
% 9.97/7.42 tff(50278,plain,
% 9.97/7.42 (~xuntil2p8(s350)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50277, 50273])).
% 9.97/7.42 tff(50279,plain,
% 9.97/7.42 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s350) | xuntil2p8(s350) | (~until2p7(s350)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s350) | xuntil2p8(s350) | (~until2p7(s350)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50280,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s350) | xuntil2p8(s350) | (~until2p7(s350)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50281,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s350) | xuntil2p8(s350) | (~until2p7(s350))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50280, 50279])).
% 9.97/7.42 tff(50282,plain,
% 9.97/7.42 (xuntil2p8(s350) | (~until2p7(s350))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50281, 49280, 47555])).
% 9.97/7.42 tff(50283,plain,
% 9.97/7.42 (~until2p7(s350)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50282, 50278])).
% 9.97/7.42 tff(50284,plain,
% 9.97/7.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s349, s350)) | until2p7(s350) | (~xuntil2p8(s349)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s349, s350)) | until2p7(s350) | (~xuntil2p8(s349)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50285,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s349, s350)) | until2p7(s350) | (~xuntil2p8(s349)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50286,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s349, s350)) | until2p7(s350) | (~xuntil2p8(s349))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50285, 50284])).
% 9.97/7.42 tff(50287,plain,
% 9.97/7.42 (until2p7(s350) | (~xuntil2p8(s349))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50286, 45584, 49295])).
% 9.97/7.42 tff(50288,plain,
% 9.97/7.42 (~xuntil2p8(s349)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50287, 50283])).
% 9.97/7.42 tff(50289,plain,
% 9.97/7.42 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s349) | xuntil2p8(s349) | (~until2p7(s349)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s349) | xuntil2p8(s349) | (~until2p7(s349)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50290,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s349) | xuntil2p8(s349) | (~until2p7(s349)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50291,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s349) | xuntil2p8(s349) | (~until2p7(s349))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50290, 50289])).
% 9.97/7.42 tff(50292,plain,
% 9.97/7.42 (xuntil2p8(s349) | (~until2p7(s349))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50291, 49280, 47538])).
% 9.97/7.42 tff(50293,plain,
% 9.97/7.42 (~until2p7(s349)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50292, 50288])).
% 9.97/7.42 tff(50294,plain,
% 9.97/7.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s348, s349)) | until2p7(s349) | (~xuntil2p8(s348)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s348, s349)) | until2p7(s349) | (~xuntil2p8(s348)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50295,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s348, s349)) | until2p7(s349) | (~xuntil2p8(s348)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50296,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s348, s349)) | until2p7(s349) | (~xuntil2p8(s348))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50295, 50294])).
% 9.97/7.42 tff(50297,plain,
% 9.97/7.42 (until2p7(s349) | (~xuntil2p8(s348))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50296, 45596, 49295])).
% 9.97/7.42 tff(50298,plain,
% 9.97/7.42 (~xuntil2p8(s348)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50297, 50293])).
% 9.97/7.42 tff(50299,plain,
% 9.97/7.42 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s348) | xuntil2p8(s348) | (~until2p7(s348)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s348) | xuntil2p8(s348) | (~until2p7(s348)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50300,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s348) | xuntil2p8(s348) | (~until2p7(s348)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50301,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s348) | xuntil2p8(s348) | (~until2p7(s348))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50300, 50299])).
% 9.97/7.42 tff(50302,plain,
% 9.97/7.42 (xuntil2p8(s348) | (~until2p7(s348))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50301, 49280, 47521])).
% 9.97/7.42 tff(50303,plain,
% 9.97/7.42 (~until2p7(s348)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50302, 50298])).
% 9.97/7.42 tff(50304,plain,
% 9.97/7.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s347, s348)) | until2p7(s348) | (~xuntil2p8(s347)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s347, s348)) | until2p7(s348) | (~xuntil2p8(s347)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50305,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s347, s348)) | until2p7(s348) | (~xuntil2p8(s347)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50306,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s347, s348)) | until2p7(s348) | (~xuntil2p8(s347))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50305, 50304])).
% 9.97/7.42 tff(50307,plain,
% 9.97/7.42 (until2p7(s348) | (~xuntil2p8(s347))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50306, 45608, 49295])).
% 9.97/7.42 tff(50308,plain,
% 9.97/7.42 (~xuntil2p8(s347)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50307, 50303])).
% 9.97/7.42 tff(50309,plain,
% 9.97/7.42 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s347) | xuntil2p8(s347) | (~until2p7(s347)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s347) | xuntil2p8(s347) | (~until2p7(s347)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50310,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s347) | xuntil2p8(s347) | (~until2p7(s347)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50311,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s347) | xuntil2p8(s347) | (~until2p7(s347))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50310, 50309])).
% 9.97/7.42 tff(50312,plain,
% 9.97/7.42 (xuntil2p8(s347) | (~until2p7(s347))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50311, 49280, 47504])).
% 9.97/7.42 tff(50313,plain,
% 9.97/7.42 (~until2p7(s347)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50312, 50308])).
% 9.97/7.42 tff(50314,plain,
% 9.97/7.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s346, s347)) | until2p7(s347) | (~xuntil2p8(s346)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s346, s347)) | until2p7(s347) | (~xuntil2p8(s346)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50315,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s346, s347)) | until2p7(s347) | (~xuntil2p8(s346)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50316,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s346, s347)) | until2p7(s347) | (~xuntil2p8(s346))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50315, 50314])).
% 9.97/7.42 tff(50317,plain,
% 9.97/7.42 (until2p7(s347) | (~xuntil2p8(s346))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50316, 45620, 49295])).
% 9.97/7.42 tff(50318,plain,
% 9.97/7.42 (~xuntil2p8(s346)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50317, 50313])).
% 9.97/7.42 tff(50319,plain,
% 9.97/7.42 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s346) | xuntil2p8(s346) | (~until2p7(s346)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s346) | xuntil2p8(s346) | (~until2p7(s346)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50320,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s346) | xuntil2p8(s346) | (~until2p7(s346)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50321,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s346) | xuntil2p8(s346) | (~until2p7(s346))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50320, 50319])).
% 9.97/7.42 tff(50322,plain,
% 9.97/7.42 (xuntil2p8(s346) | (~until2p7(s346))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50321, 49280, 47487])).
% 9.97/7.42 tff(50323,plain,
% 9.97/7.42 (~until2p7(s346)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50322, 50318])).
% 9.97/7.42 tff(50324,plain,
% 9.97/7.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s345, s346)) | until2p7(s346) | (~xuntil2p8(s345)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s345, s346)) | until2p7(s346) | (~xuntil2p8(s345)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50325,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s345, s346)) | until2p7(s346) | (~xuntil2p8(s345)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50326,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s345, s346)) | until2p7(s346) | (~xuntil2p8(s345))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50325, 50324])).
% 9.97/7.42 tff(50327,plain,
% 9.97/7.42 (until2p7(s346) | (~xuntil2p8(s345))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50326, 45632, 49295])).
% 9.97/7.42 tff(50328,plain,
% 9.97/7.42 (~xuntil2p8(s345)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50327, 50323])).
% 9.97/7.42 tff(50329,plain,
% 9.97/7.42 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s345) | xuntil2p8(s345) | (~until2p7(s345)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s345) | xuntil2p8(s345) | (~until2p7(s345)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50330,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s345) | xuntil2p8(s345) | (~until2p7(s345)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50331,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s345) | xuntil2p8(s345) | (~until2p7(s345))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50330, 50329])).
% 9.97/7.42 tff(50332,plain,
% 9.97/7.42 (xuntil2p8(s345) | (~until2p7(s345))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50331, 49280, 47470])).
% 9.97/7.42 tff(50333,plain,
% 9.97/7.42 (~until2p7(s345)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50332, 50328])).
% 9.97/7.42 tff(50334,plain,
% 9.97/7.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s344, s345)) | until2p7(s345) | (~xuntil2p8(s344)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s344, s345)) | until2p7(s345) | (~xuntil2p8(s344)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50335,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s344, s345)) | until2p7(s345) | (~xuntil2p8(s344)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50336,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s344, s345)) | until2p7(s345) | (~xuntil2p8(s344))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50335, 50334])).
% 9.97/7.42 tff(50337,plain,
% 9.97/7.42 (until2p7(s345) | (~xuntil2p8(s344))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50336, 45644, 49295])).
% 9.97/7.42 tff(50338,plain,
% 9.97/7.42 (~xuntil2p8(s344)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50337, 50333])).
% 9.97/7.42 tff(50339,plain,
% 9.97/7.42 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s344) | xuntil2p8(s344) | (~until2p7(s344)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s344) | xuntil2p8(s344) | (~until2p7(s344)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50340,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s344) | xuntil2p8(s344) | (~until2p7(s344)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50341,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s344) | xuntil2p8(s344) | (~until2p7(s344))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50340, 50339])).
% 9.97/7.42 tff(50342,plain,
% 9.97/7.42 (xuntil2p8(s344) | (~until2p7(s344))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50341, 49280, 47453])).
% 9.97/7.42 tff(50343,plain,
% 9.97/7.42 (~until2p7(s344)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50342, 50338])).
% 9.97/7.42 tff(50344,plain,
% 9.97/7.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s343, s344)) | until2p7(s344) | (~xuntil2p8(s343)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s343, s344)) | until2p7(s344) | (~xuntil2p8(s343)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50345,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s343, s344)) | until2p7(s344) | (~xuntil2p8(s343)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50346,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s343, s344)) | until2p7(s344) | (~xuntil2p8(s343))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50345, 50344])).
% 9.97/7.42 tff(50347,plain,
% 9.97/7.42 (until2p7(s344) | (~xuntil2p8(s343))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50346, 45656, 49295])).
% 9.97/7.42 tff(50348,plain,
% 9.97/7.42 (~xuntil2p8(s343)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50347, 50343])).
% 9.97/7.42 tff(50349,plain,
% 9.97/7.42 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s343) | xuntil2p8(s343) | (~until2p7(s343)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s343) | xuntil2p8(s343) | (~until2p7(s343)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50350,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s343) | xuntil2p8(s343) | (~until2p7(s343)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50351,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s343) | xuntil2p8(s343) | (~until2p7(s343))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50350, 50349])).
% 9.97/7.42 tff(50352,plain,
% 9.97/7.42 (xuntil2p8(s343) | (~until2p7(s343))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50351, 49280, 47436])).
% 9.97/7.42 tff(50353,plain,
% 9.97/7.42 (~until2p7(s343)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50352, 50348])).
% 9.97/7.42 tff(50354,plain,
% 9.97/7.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s342, s343)) | until2p7(s343) | (~xuntil2p8(s342)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s342, s343)) | until2p7(s343) | (~xuntil2p8(s342)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50355,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s342, s343)) | until2p7(s343) | (~xuntil2p8(s342)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50356,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s342, s343)) | until2p7(s343) | (~xuntil2p8(s342))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50355, 50354])).
% 9.97/7.42 tff(50357,plain,
% 9.97/7.42 (until2p7(s343) | (~xuntil2p8(s342))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50356, 45668, 49295])).
% 9.97/7.42 tff(50358,plain,
% 9.97/7.42 (~xuntil2p8(s342)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50357, 50353])).
% 9.97/7.42 tff(50359,plain,
% 9.97/7.42 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s342) | xuntil2p8(s342) | (~until2p7(s342)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s342) | xuntil2p8(s342) | (~until2p7(s342)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50360,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s342) | xuntil2p8(s342) | (~until2p7(s342)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50361,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s342) | xuntil2p8(s342) | (~until2p7(s342))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50360, 50359])).
% 9.97/7.42 tff(50362,plain,
% 9.97/7.42 (xuntil2p8(s342) | (~until2p7(s342))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50361, 49280, 47419])).
% 9.97/7.42 tff(50363,plain,
% 9.97/7.42 (~until2p7(s342)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50362, 50358])).
% 9.97/7.42 tff(50364,plain,
% 9.97/7.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s341, s342)) | until2p7(s342) | (~xuntil2p8(s341)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s341, s342)) | until2p7(s342) | (~xuntil2p8(s341)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50365,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s341, s342)) | until2p7(s342) | (~xuntil2p8(s341)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50366,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s341, s342)) | until2p7(s342) | (~xuntil2p8(s341))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50365, 50364])).
% 9.97/7.42 tff(50367,plain,
% 9.97/7.42 (until2p7(s342) | (~xuntil2p8(s341))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50366, 45680, 49295])).
% 9.97/7.42 tff(50368,plain,
% 9.97/7.42 (~xuntil2p8(s341)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50367, 50363])).
% 9.97/7.42 tff(50369,plain,
% 9.97/7.42 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s341) | xuntil2p8(s341) | (~until2p7(s341)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s341) | xuntil2p8(s341) | (~until2p7(s341)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50370,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s341) | xuntil2p8(s341) | (~until2p7(s341)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50371,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s341) | xuntil2p8(s341) | (~until2p7(s341))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50370, 50369])).
% 9.97/7.42 tff(50372,plain,
% 9.97/7.42 (xuntil2p8(s341) | (~until2p7(s341))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50371, 49280, 47402])).
% 9.97/7.42 tff(50373,plain,
% 9.97/7.42 (~until2p7(s341)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50372, 50368])).
% 9.97/7.42 tff(50374,plain,
% 9.97/7.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s340, s341)) | until2p7(s341) | (~xuntil2p8(s340)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s340, s341)) | until2p7(s341) | (~xuntil2p8(s340)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50375,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s340, s341)) | until2p7(s341) | (~xuntil2p8(s340)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50376,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s340, s341)) | until2p7(s341) | (~xuntil2p8(s340))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50375, 50374])).
% 9.97/7.42 tff(50377,plain,
% 9.97/7.42 (until2p7(s341) | (~xuntil2p8(s340))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50376, 45692, 49295])).
% 9.97/7.42 tff(50378,plain,
% 9.97/7.42 (~xuntil2p8(s340)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50377, 50373])).
% 9.97/7.42 tff(50379,plain,
% 9.97/7.42 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s340) | xuntil2p8(s340) | (~until2p7(s340)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s340) | xuntil2p8(s340) | (~until2p7(s340)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50380,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s340) | xuntil2p8(s340) | (~until2p7(s340)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50381,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s340) | xuntil2p8(s340) | (~until2p7(s340))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50380, 50379])).
% 9.97/7.42 tff(50382,plain,
% 9.97/7.42 (xuntil2p8(s340) | (~until2p7(s340))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50381, 49280, 47385])).
% 9.97/7.42 tff(50383,plain,
% 9.97/7.42 (~until2p7(s340)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50382, 50378])).
% 9.97/7.42 tff(50384,plain,
% 9.97/7.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s339, s340)) | until2p7(s340) | (~xuntil2p8(s339)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s339, s340)) | until2p7(s340) | (~xuntil2p8(s339)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50385,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s339, s340)) | until2p7(s340) | (~xuntil2p8(s339)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50386,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s339, s340)) | until2p7(s340) | (~xuntil2p8(s339))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50385, 50384])).
% 9.97/7.42 tff(50387,plain,
% 9.97/7.42 (until2p7(s340) | (~xuntil2p8(s339))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50386, 45704, 49295])).
% 9.97/7.42 tff(50388,plain,
% 9.97/7.42 (~xuntil2p8(s339)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50387, 50383])).
% 9.97/7.42 tff(50389,plain,
% 9.97/7.42 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s339) | xuntil2p8(s339) | (~until2p7(s339)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s339) | xuntil2p8(s339) | (~until2p7(s339)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50390,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s339) | xuntil2p8(s339) | (~until2p7(s339)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50391,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s339) | xuntil2p8(s339) | (~until2p7(s339))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50390, 50389])).
% 9.97/7.42 tff(50392,plain,
% 9.97/7.42 (xuntil2p8(s339) | (~until2p7(s339))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50391, 49280, 47368])).
% 9.97/7.42 tff(50393,plain,
% 9.97/7.42 (~until2p7(s339)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50392, 50388])).
% 9.97/7.42 tff(50394,plain,
% 9.97/7.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s338, s339)) | until2p7(s339) | (~xuntil2p8(s338)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s338, s339)) | until2p7(s339) | (~xuntil2p8(s338)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50395,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s338, s339)) | until2p7(s339) | (~xuntil2p8(s338)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50396,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s338, s339)) | until2p7(s339) | (~xuntil2p8(s338))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50395, 50394])).
% 9.97/7.42 tff(50397,plain,
% 9.97/7.42 (until2p7(s339) | (~xuntil2p8(s338))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50396, 45716, 49295])).
% 9.97/7.42 tff(50398,plain,
% 9.97/7.42 (~xuntil2p8(s338)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50397, 50393])).
% 9.97/7.42 tff(50399,plain,
% 9.97/7.42 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s338) | xuntil2p8(s338) | (~until2p7(s338)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s338) | xuntil2p8(s338) | (~until2p7(s338)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50400,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s338) | xuntil2p8(s338) | (~until2p7(s338)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50401,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s338) | xuntil2p8(s338) | (~until2p7(s338))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50400, 50399])).
% 9.97/7.42 tff(50402,plain,
% 9.97/7.42 (xuntil2p8(s338) | (~until2p7(s338))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50401, 49280, 47351])).
% 9.97/7.42 tff(50403,plain,
% 9.97/7.42 (~until2p7(s338)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50402, 50398])).
% 9.97/7.42 tff(50404,plain,
% 9.97/7.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s337, s338)) | until2p7(s338) | (~xuntil2p8(s337)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s337, s338)) | until2p7(s338) | (~xuntil2p8(s337)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50405,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s337, s338)) | until2p7(s338) | (~xuntil2p8(s337)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50406,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s337, s338)) | until2p7(s338) | (~xuntil2p8(s337))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50405, 50404])).
% 9.97/7.42 tff(50407,plain,
% 9.97/7.42 (until2p7(s338) | (~xuntil2p8(s337))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50406, 45728, 49295])).
% 9.97/7.42 tff(50408,plain,
% 9.97/7.42 (~xuntil2p8(s337)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50407, 50403])).
% 9.97/7.42 tff(50409,plain,
% 9.97/7.42 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s337) | xuntil2p8(s337) | (~until2p7(s337)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s337) | xuntil2p8(s337) | (~until2p7(s337)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50410,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s337) | xuntil2p8(s337) | (~until2p7(s337)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50411,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s337) | xuntil2p8(s337) | (~until2p7(s337))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50410, 50409])).
% 9.97/7.42 tff(50412,plain,
% 9.97/7.42 (xuntil2p8(s337) | (~until2p7(s337))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50411, 49280, 47334])).
% 9.97/7.42 tff(50413,plain,
% 9.97/7.42 (~until2p7(s337)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50412, 50408])).
% 9.97/7.42 tff(50414,plain,
% 9.97/7.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s336, s337)) | until2p7(s337) | (~xuntil2p8(s336)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s336, s337)) | until2p7(s337) | (~xuntil2p8(s336)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50415,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s336, s337)) | until2p7(s337) | (~xuntil2p8(s336)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50416,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s336, s337)) | until2p7(s337) | (~xuntil2p8(s336))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50415, 50414])).
% 9.97/7.42 tff(50417,plain,
% 9.97/7.42 (until2p7(s337) | (~xuntil2p8(s336))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50416, 45740, 49295])).
% 9.97/7.42 tff(50418,plain,
% 9.97/7.42 (~xuntil2p8(s336)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50417, 50413])).
% 9.97/7.42 tff(50419,plain,
% 9.97/7.42 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s336) | xuntil2p8(s336) | (~until2p7(s336)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s336) | xuntil2p8(s336) | (~until2p7(s336)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50420,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s336) | xuntil2p8(s336) | (~until2p7(s336)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50421,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s336) | xuntil2p8(s336) | (~until2p7(s336))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50420, 50419])).
% 9.97/7.42 tff(50422,plain,
% 9.97/7.42 (xuntil2p8(s336) | (~until2p7(s336))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50421, 49280, 47317])).
% 9.97/7.42 tff(50423,plain,
% 9.97/7.42 (~until2p7(s336)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50422, 50418])).
% 9.97/7.42 tff(50424,plain,
% 9.97/7.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s335, s336)) | until2p7(s336) | (~xuntil2p8(s335)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s335, s336)) | until2p7(s336) | (~xuntil2p8(s335)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50425,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s335, s336)) | until2p7(s336) | (~xuntil2p8(s335)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50426,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s335, s336)) | until2p7(s336) | (~xuntil2p8(s335))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50425, 50424])).
% 9.97/7.42 tff(50427,plain,
% 9.97/7.42 (until2p7(s336) | (~xuntil2p8(s335))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50426, 45752, 49295])).
% 9.97/7.42 tff(50428,plain,
% 9.97/7.42 (~xuntil2p8(s335)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50427, 50423])).
% 9.97/7.42 tff(50429,plain,
% 9.97/7.42 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s335) | xuntil2p8(s335) | (~until2p7(s335)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s335) | xuntil2p8(s335) | (~until2p7(s335)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50430,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s335) | xuntil2p8(s335) | (~until2p7(s335)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50431,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s335) | xuntil2p8(s335) | (~until2p7(s335))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50430, 50429])).
% 9.97/7.42 tff(50432,plain,
% 9.97/7.42 (xuntil2p8(s335) | (~until2p7(s335))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50431, 49280, 47300])).
% 9.97/7.42 tff(50433,plain,
% 9.97/7.42 (~until2p7(s335)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50432, 50428])).
% 9.97/7.42 tff(50434,plain,
% 9.97/7.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s334, s335)) | until2p7(s335) | (~xuntil2p8(s334)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s334, s335)) | until2p7(s335) | (~xuntil2p8(s334)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50435,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s334, s335)) | until2p7(s335) | (~xuntil2p8(s334)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50436,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s334, s335)) | until2p7(s335) | (~xuntil2p8(s334))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50435, 50434])).
% 9.97/7.42 tff(50437,plain,
% 9.97/7.42 (until2p7(s335) | (~xuntil2p8(s334))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50436, 45764, 49295])).
% 9.97/7.42 tff(50438,plain,
% 9.97/7.42 (~xuntil2p8(s334)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50437, 50433])).
% 9.97/7.42 tff(50439,plain,
% 9.97/7.42 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s334) | xuntil2p8(s334) | (~until2p7(s334)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s334) | xuntil2p8(s334) | (~until2p7(s334)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50440,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s334) | xuntil2p8(s334) | (~until2p7(s334)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50441,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s334) | xuntil2p8(s334) | (~until2p7(s334))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50440, 50439])).
% 9.97/7.42 tff(50442,plain,
% 9.97/7.42 (xuntil2p8(s334) | (~until2p7(s334))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50441, 49280, 47283])).
% 9.97/7.42 tff(50443,plain,
% 9.97/7.42 (~until2p7(s334)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50442, 50438])).
% 9.97/7.42 tff(50444,plain,
% 9.97/7.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s333, s334)) | until2p7(s334) | (~xuntil2p8(s333)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s333, s334)) | until2p7(s334) | (~xuntil2p8(s333)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50445,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s333, s334)) | until2p7(s334) | (~xuntil2p8(s333)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50446,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s333, s334)) | until2p7(s334) | (~xuntil2p8(s333))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50445, 50444])).
% 9.97/7.42 tff(50447,plain,
% 9.97/7.42 (until2p7(s334) | (~xuntil2p8(s333))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50446, 45776, 49295])).
% 9.97/7.42 tff(50448,plain,
% 9.97/7.42 (~xuntil2p8(s333)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50447, 50443])).
% 9.97/7.42 tff(50449,plain,
% 9.97/7.42 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s333) | xuntil2p8(s333) | (~until2p7(s333)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s333) | xuntil2p8(s333) | (~until2p7(s333)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50450,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s333) | xuntil2p8(s333) | (~until2p7(s333)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50451,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s333) | xuntil2p8(s333) | (~until2p7(s333))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50450, 50449])).
% 9.97/7.42 tff(50452,plain,
% 9.97/7.42 (xuntil2p8(s333) | (~until2p7(s333))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50451, 49280, 47266])).
% 9.97/7.42 tff(50453,plain,
% 9.97/7.42 (~until2p7(s333)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50452, 50448])).
% 9.97/7.42 tff(50454,plain,
% 9.97/7.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s332, s333)) | until2p7(s333) | (~xuntil2p8(s332)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s332, s333)) | until2p7(s333) | (~xuntil2p8(s332)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50455,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s332, s333)) | until2p7(s333) | (~xuntil2p8(s332)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50456,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s332, s333)) | until2p7(s333) | (~xuntil2p8(s332))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50455, 50454])).
% 9.97/7.42 tff(50457,plain,
% 9.97/7.42 (until2p7(s333) | (~xuntil2p8(s332))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50456, 44130, 49295])).
% 9.97/7.42 tff(50458,plain,
% 9.97/7.42 (~xuntil2p8(s332)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50457, 50453])).
% 9.97/7.42 tff(50459,plain,
% 9.97/7.42 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s332) | xuntil2p8(s332) | (~until2p7(s332)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s332) | xuntil2p8(s332) | (~until2p7(s332)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50460,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s332) | xuntil2p8(s332) | (~until2p7(s332)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50461,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s332) | xuntil2p8(s332) | (~until2p7(s332))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50460, 50459])).
% 9.97/7.42 tff(50462,plain,
% 9.97/7.42 (xuntil2p8(s332) | (~until2p7(s332))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50461, 49280, 47259])).
% 9.97/7.42 tff(50463,plain,
% 9.97/7.42 (~until2p7(s332)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50462, 50458])).
% 9.97/7.42 tff(50464,plain,
% 9.97/7.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s331, s332)) | until2p7(s332) | (~xuntil2p8(s331)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s331, s332)) | until2p7(s332) | (~xuntil2p8(s331)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50465,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s331, s332)) | until2p7(s332) | (~xuntil2p8(s331)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.42 tff(50466,plain,
% 9.97/7.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s331, s332)) | until2p7(s332) | (~xuntil2p8(s331))),
% 9.97/7.42 inference(modus_ponens,[status(thm)],[50465, 50464])).
% 9.97/7.42 tff(50467,plain,
% 9.97/7.42 (until2p7(s332) | (~xuntil2p8(s331))),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50466, 44043, 49295])).
% 9.97/7.42 tff(50468,plain,
% 9.97/7.42 (~xuntil2p8(s331)),
% 9.97/7.42 inference(unit_resolution,[status(thm)],[50467, 50463])).
% 9.97/7.42 tff(50469,plain,
% 9.97/7.42 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s331) | xuntil2p8(s331) | (~until2p7(s331)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s331) | xuntil2p8(s331) | (~until2p7(s331)))),
% 9.97/7.42 inference(rewrite,[status(thm)],[])).
% 9.97/7.42 tff(50470,plain,
% 9.97/7.42 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s331) | xuntil2p8(s331) | (~until2p7(s331)))),
% 9.97/7.42 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50471,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s331) | xuntil2p8(s331) | (~until2p7(s331))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50470, 50469])).
% 9.97/7.43 tff(50472,plain,
% 9.97/7.43 (xuntil2p8(s331) | (~until2p7(s331))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50471, 49280, 47255])).
% 9.97/7.43 tff(50473,plain,
% 9.97/7.43 (~until2p7(s331)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50472, 50468])).
% 9.97/7.43 tff(50474,plain,
% 9.97/7.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s330, s331)) | until2p7(s331) | (~xuntil2p8(s330)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s330, s331)) | until2p7(s331) | (~xuntil2p8(s330)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50475,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s330, s331)) | until2p7(s331) | (~xuntil2p8(s330)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50476,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s330, s331)) | until2p7(s331) | (~xuntil2p8(s330))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50475, 50474])).
% 9.97/7.43 tff(50477,plain,
% 9.97/7.43 (until2p7(s331) | (~xuntil2p8(s330))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50476, 43429, 49295])).
% 9.97/7.43 tff(50478,plain,
% 9.97/7.43 (~xuntil2p8(s330)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50477, 50473])).
% 9.97/7.43 tff(50479,plain,
% 9.97/7.43 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s330) | xuntil2p8(s330) | (~until2p7(s330)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s330) | xuntil2p8(s330) | (~until2p7(s330)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50480,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s330) | xuntil2p8(s330) | (~until2p7(s330)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50481,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s330) | xuntil2p8(s330) | (~until2p7(s330))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50480, 50479])).
% 9.97/7.43 tff(50482,plain,
% 9.97/7.43 (xuntil2p8(s330) | (~until2p7(s330))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50481, 49280, 47251])).
% 9.97/7.43 tff(50483,plain,
% 9.97/7.43 (~until2p7(s330)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50482, 50478])).
% 9.97/7.43 tff(50484,plain,
% 9.97/7.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s329, s330)) | until2p7(s330) | (~xuntil2p8(s329)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s329, s330)) | until2p7(s330) | (~xuntil2p8(s329)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50485,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s329, s330)) | until2p7(s330) | (~xuntil2p8(s329)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50486,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s329, s330)) | until2p7(s330) | (~xuntil2p8(s329))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50485, 50484])).
% 9.97/7.43 tff(50487,plain,
% 9.97/7.43 (until2p7(s330) | (~xuntil2p8(s329))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50486, 43344, 49295])).
% 9.97/7.43 tff(50488,plain,
% 9.97/7.43 (~xuntil2p8(s329)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50487, 50483])).
% 9.97/7.43 tff(50489,plain,
% 9.97/7.43 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s329) | xuntil2p8(s329) | (~until2p7(s329)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s329) | xuntil2p8(s329) | (~until2p7(s329)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50490,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s329) | xuntil2p8(s329) | (~until2p7(s329)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50491,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s329) | xuntil2p8(s329) | (~until2p7(s329))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50490, 50489])).
% 9.97/7.43 tff(50492,plain,
% 9.97/7.43 (xuntil2p8(s329) | (~until2p7(s329))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50491, 49280, 47247])).
% 9.97/7.43 tff(50493,plain,
% 9.97/7.43 (~until2p7(s329)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50492, 50488])).
% 9.97/7.43 tff(50494,plain,
% 9.97/7.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s328, s329)) | until2p7(s329) | (~xuntil2p8(s328)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s328, s329)) | until2p7(s329) | (~xuntil2p8(s328)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50495,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s328, s329)) | until2p7(s329) | (~xuntil2p8(s328)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50496,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s328, s329)) | until2p7(s329) | (~xuntil2p8(s328))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50495, 50494])).
% 9.97/7.43 tff(50497,plain,
% 9.97/7.43 (until2p7(s329) | (~xuntil2p8(s328))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50496, 42740, 49295])).
% 9.97/7.43 tff(50498,plain,
% 9.97/7.43 (~xuntil2p8(s328)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50497, 50493])).
% 9.97/7.43 tff(50499,plain,
% 9.97/7.43 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s328) | xuntil2p8(s328) | (~until2p7(s328)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s328) | xuntil2p8(s328) | (~until2p7(s328)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50500,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s328) | xuntil2p8(s328) | (~until2p7(s328)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50501,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s328) | xuntil2p8(s328) | (~until2p7(s328))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50500, 50499])).
% 9.97/7.43 tff(50502,plain,
% 9.97/7.43 (xuntil2p8(s328) | (~until2p7(s328))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50501, 49280, 47243])).
% 9.97/7.43 tff(50503,plain,
% 9.97/7.43 (~until2p7(s328)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50502, 50498])).
% 9.97/7.43 tff(50504,plain,
% 9.97/7.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s327, s328)) | until2p7(s328) | (~xuntil2p8(s327)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s327, s328)) | until2p7(s328) | (~xuntil2p8(s327)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50505,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s327, s328)) | until2p7(s328) | (~xuntil2p8(s327)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50506,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s327, s328)) | until2p7(s328) | (~xuntil2p8(s327))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50505, 50504])).
% 9.97/7.43 tff(50507,plain,
% 9.97/7.43 (until2p7(s328) | (~xuntil2p8(s327))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50506, 13199, 49295])).
% 9.97/7.43 tff(50508,plain,
% 9.97/7.43 (~xuntil2p8(s327)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50507, 50503])).
% 9.97/7.43 tff(50509,plain,
% 9.97/7.43 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s327) | xuntil2p8(s327) | (~until2p7(s327)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s327) | xuntil2p8(s327) | (~until2p7(s327)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50510,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s327) | xuntil2p8(s327) | (~until2p7(s327)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50511,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s327) | xuntil2p8(s327) | (~until2p7(s327))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50510, 50509])).
% 9.97/7.43 tff(50512,plain,
% 9.97/7.43 (xuntil2p8(s327) | (~until2p7(s327))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50511, 49280, 47239])).
% 9.97/7.43 tff(50513,plain,
% 9.97/7.43 (~until2p7(s327)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50512, 50508])).
% 9.97/7.43 tff(50514,plain,
% 9.97/7.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s326, s327)) | until2p7(s327) | (~xuntil2p8(s326)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s326, s327)) | until2p7(s327) | (~xuntil2p8(s326)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50515,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s326, s327)) | until2p7(s327) | (~xuntil2p8(s326)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50516,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s326, s327)) | until2p7(s327) | (~xuntil2p8(s326))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50515, 50514])).
% 9.97/7.43 tff(50517,plain,
% 9.97/7.43 (until2p7(s327) | (~xuntil2p8(s326))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50516, 12580, 49295])).
% 9.97/7.43 tff(50518,plain,
% 9.97/7.43 (~xuntil2p8(s326)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50517, 50513])).
% 9.97/7.43 tff(50519,plain,
% 9.97/7.43 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s326) | xuntil2p8(s326) | (~until2p7(s326)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s326) | xuntil2p8(s326) | (~until2p7(s326)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50520,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s326) | xuntil2p8(s326) | (~until2p7(s326)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50521,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s326) | xuntil2p8(s326) | (~until2p7(s326))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50520, 50519])).
% 9.97/7.43 tff(50522,plain,
% 9.97/7.43 (xuntil2p8(s326) | (~until2p7(s326))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50521, 49280, 47235])).
% 9.97/7.43 tff(50523,plain,
% 9.97/7.43 (~until2p7(s326)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50522, 50518])).
% 9.97/7.43 tff(50524,plain,
% 9.97/7.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s325, s326)) | until2p7(s326) | (~xuntil2p8(s325)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s325, s326)) | until2p7(s326) | (~xuntil2p8(s325)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50525,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s325, s326)) | until2p7(s326) | (~xuntil2p8(s325)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50526,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s325, s326)) | until2p7(s326) | (~xuntil2p8(s325))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50525, 50524])).
% 9.97/7.43 tff(50527,plain,
% 9.97/7.43 (until2p7(s326) | (~xuntil2p8(s325))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50526, 12620, 49295])).
% 9.97/7.43 tff(50528,plain,
% 9.97/7.43 (~xuntil2p8(s325)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50527, 50523])).
% 9.97/7.43 tff(50529,plain,
% 9.97/7.43 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s325) | xuntil2p8(s325) | (~until2p7(s325)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s325) | xuntil2p8(s325) | (~until2p7(s325)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50530,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s325) | xuntil2p8(s325) | (~until2p7(s325)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50531,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s325) | xuntil2p8(s325) | (~until2p7(s325))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50530, 50529])).
% 9.97/7.43 tff(50532,plain,
% 9.97/7.43 (xuntil2p8(s325) | (~until2p7(s325))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50531, 49280, 47231])).
% 9.97/7.43 tff(50533,plain,
% 9.97/7.43 (~until2p7(s325)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50532, 50528])).
% 9.97/7.43 tff(50534,plain,
% 9.97/7.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s324, s325)) | until2p7(s325) | (~xuntil2p8(s324)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s324, s325)) | until2p7(s325) | (~xuntil2p8(s324)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50535,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s324, s325)) | until2p7(s325) | (~xuntil2p8(s324)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50536,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s324, s325)) | until2p7(s325) | (~xuntil2p8(s324))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50535, 50534])).
% 9.97/7.43 tff(50537,plain,
% 9.97/7.43 (until2p7(s325) | (~xuntil2p8(s324))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50536, 12649, 49295])).
% 9.97/7.43 tff(50538,plain,
% 9.97/7.43 (~xuntil2p8(s324)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50537, 50533])).
% 9.97/7.43 tff(50539,plain,
% 9.97/7.43 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s324) | xuntil2p8(s324) | (~until2p7(s324)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s324) | xuntil2p8(s324) | (~until2p7(s324)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50540,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s324) | xuntil2p8(s324) | (~until2p7(s324)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50541,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s324) | xuntil2p8(s324) | (~until2p7(s324))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50540, 50539])).
% 9.97/7.43 tff(50542,plain,
% 9.97/7.43 (xuntil2p8(s324) | (~until2p7(s324))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50541, 49280, 47227])).
% 9.97/7.43 tff(50543,plain,
% 9.97/7.43 (~until2p7(s324)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50542, 50538])).
% 9.97/7.43 tff(50544,plain,
% 9.97/7.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s323, s324)) | until2p7(s324) | (~xuntil2p8(s323)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s323, s324)) | until2p7(s324) | (~xuntil2p8(s323)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50545,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s323, s324)) | until2p7(s324) | (~xuntil2p8(s323)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50546,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s323, s324)) | until2p7(s324) | (~xuntil2p8(s323))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50545, 50544])).
% 9.97/7.43 tff(50547,plain,
% 9.97/7.43 (until2p7(s324) | (~xuntil2p8(s323))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50546, 12678, 49295])).
% 9.97/7.43 tff(50548,plain,
% 9.97/7.43 (~xuntil2p8(s323)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50547, 50543])).
% 9.97/7.43 tff(50549,plain,
% 9.97/7.43 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s323) | xuntil2p8(s323) | (~until2p7(s323)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s323) | xuntil2p8(s323) | (~until2p7(s323)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50550,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s323) | xuntil2p8(s323) | (~until2p7(s323)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50551,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s323) | xuntil2p8(s323) | (~until2p7(s323))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50550, 50549])).
% 9.97/7.43 tff(50552,plain,
% 9.97/7.43 (xuntil2p8(s323) | (~until2p7(s323))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50551, 49280, 47223])).
% 9.97/7.43 tff(50553,plain,
% 9.97/7.43 (~until2p7(s323)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50552, 50548])).
% 9.97/7.43 tff(50554,plain,
% 9.97/7.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s322, s323)) | until2p7(s323) | (~xuntil2p8(s322)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s322, s323)) | until2p7(s323) | (~xuntil2p8(s322)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50555,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s322, s323)) | until2p7(s323) | (~xuntil2p8(s322)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50556,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s322, s323)) | until2p7(s323) | (~xuntil2p8(s322))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50555, 50554])).
% 9.97/7.43 tff(50557,plain,
% 9.97/7.43 (until2p7(s323) | (~xuntil2p8(s322))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50556, 12707, 49295])).
% 9.97/7.43 tff(50558,plain,
% 9.97/7.43 (~xuntil2p8(s322)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50557, 50553])).
% 9.97/7.43 tff(50559,plain,
% 9.97/7.43 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s322) | xuntil2p8(s322) | (~until2p7(s322)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s322) | xuntil2p8(s322) | (~until2p7(s322)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50560,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s322) | xuntil2p8(s322) | (~until2p7(s322)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50561,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s322) | xuntil2p8(s322) | (~until2p7(s322))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50560, 50559])).
% 9.97/7.43 tff(50562,plain,
% 9.97/7.43 (xuntil2p8(s322) | (~until2p7(s322))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50561, 49280, 47219])).
% 9.97/7.43 tff(50563,plain,
% 9.97/7.43 (~until2p7(s322)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50562, 50558])).
% 9.97/7.43 tff(50564,plain,
% 9.97/7.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s321, s322)) | until2p7(s322) | (~xuntil2p8(s321)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s321, s322)) | until2p7(s322) | (~xuntil2p8(s321)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50565,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s321, s322)) | until2p7(s322) | (~xuntil2p8(s321)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50566,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s321, s322)) | until2p7(s322) | (~xuntil2p8(s321))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50565, 50564])).
% 9.97/7.43 tff(50567,plain,
% 9.97/7.43 (until2p7(s322) | (~xuntil2p8(s321))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50566, 12736, 49295])).
% 9.97/7.43 tff(50568,plain,
% 9.97/7.43 (~xuntil2p8(s321)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50567, 50563])).
% 9.97/7.43 tff(50569,plain,
% 9.97/7.43 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s321) | xuntil2p8(s321) | (~until2p7(s321)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s321) | xuntil2p8(s321) | (~until2p7(s321)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50570,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s321) | xuntil2p8(s321) | (~until2p7(s321)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50571,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s321) | xuntil2p8(s321) | (~until2p7(s321))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50570, 50569])).
% 9.97/7.43 tff(50572,plain,
% 9.97/7.43 (xuntil2p8(s321) | (~until2p7(s321))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50571, 49280, 47215])).
% 9.97/7.43 tff(50573,plain,
% 9.97/7.43 (~until2p7(s321)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50572, 50568])).
% 9.97/7.43 tff(50574,plain,
% 9.97/7.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s320, s321)) | until2p7(s321) | (~xuntil2p8(s320)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s320, s321)) | until2p7(s321) | (~xuntil2p8(s320)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50575,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s320, s321)) | until2p7(s321) | (~xuntil2p8(s320)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50576,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s320, s321)) | until2p7(s321) | (~xuntil2p8(s320))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50575, 50574])).
% 9.97/7.43 tff(50577,plain,
% 9.97/7.43 (until2p7(s321) | (~xuntil2p8(s320))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50576, 12765, 49295])).
% 9.97/7.43 tff(50578,plain,
% 9.97/7.43 (~xuntil2p8(s320)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50577, 50573])).
% 9.97/7.43 tff(50579,plain,
% 9.97/7.43 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s320) | xuntil2p8(s320) | (~until2p7(s320)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s320) | xuntil2p8(s320) | (~until2p7(s320)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50580,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s320) | xuntil2p8(s320) | (~until2p7(s320)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50581,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s320) | xuntil2p8(s320) | (~until2p7(s320))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50580, 50579])).
% 9.97/7.43 tff(50582,plain,
% 9.97/7.43 (xuntil2p8(s320) | (~until2p7(s320))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50581, 49280, 47211])).
% 9.97/7.43 tff(50583,plain,
% 9.97/7.43 (~until2p7(s320)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50582, 50578])).
% 9.97/7.43 tff(50584,plain,
% 9.97/7.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s319, s320)) | until2p7(s320) | (~xuntil2p8(s319)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s319, s320)) | until2p7(s320) | (~xuntil2p8(s319)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50585,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s319, s320)) | until2p7(s320) | (~xuntil2p8(s319)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50586,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s319, s320)) | until2p7(s320) | (~xuntil2p8(s319))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50585, 50584])).
% 9.97/7.43 tff(50587,plain,
% 9.97/7.43 (until2p7(s320) | (~xuntil2p8(s319))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50586, 12794, 49295])).
% 9.97/7.43 tff(50588,plain,
% 9.97/7.43 (~xuntil2p8(s319)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50587, 50583])).
% 9.97/7.43 tff(50589,plain,
% 9.97/7.43 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s319) | xuntil2p8(s319) | (~until2p7(s319)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s319) | xuntil2p8(s319) | (~until2p7(s319)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50590,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s319) | xuntil2p8(s319) | (~until2p7(s319)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50591,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s319) | xuntil2p8(s319) | (~until2p7(s319))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50590, 50589])).
% 9.97/7.43 tff(50592,plain,
% 9.97/7.43 (xuntil2p8(s319) | (~until2p7(s319))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50591, 49280, 47207])).
% 9.97/7.43 tff(50593,plain,
% 9.97/7.43 (~until2p7(s319)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50592, 50588])).
% 9.97/7.43 tff(50594,plain,
% 9.97/7.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s318, s319)) | until2p7(s319) | (~xuntil2p8(s318)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s318, s319)) | until2p7(s319) | (~xuntil2p8(s318)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50595,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s318, s319)) | until2p7(s319) | (~xuntil2p8(s318)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50596,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s318, s319)) | until2p7(s319) | (~xuntil2p8(s318))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50595, 50594])).
% 9.97/7.43 tff(50597,plain,
% 9.97/7.43 (until2p7(s319) | (~xuntil2p8(s318))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50596, 12823, 49295])).
% 9.97/7.43 tff(50598,plain,
% 9.97/7.43 (~xuntil2p8(s318)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50597, 50593])).
% 9.97/7.43 tff(50599,plain,
% 9.97/7.43 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s318) | xuntil2p8(s318) | (~until2p7(s318)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s318) | xuntil2p8(s318) | (~until2p7(s318)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50600,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s318) | xuntil2p8(s318) | (~until2p7(s318)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50601,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s318) | xuntil2p8(s318) | (~until2p7(s318))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50600, 50599])).
% 9.97/7.43 tff(50602,plain,
% 9.97/7.43 (xuntil2p8(s318) | (~until2p7(s318))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50601, 49280, 47203])).
% 9.97/7.43 tff(50603,plain,
% 9.97/7.43 (~until2p7(s318)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50602, 50598])).
% 9.97/7.43 tff(50604,plain,
% 9.97/7.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s317, s318)) | until2p7(s318) | (~xuntil2p8(s317)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s317, s318)) | until2p7(s318) | (~xuntil2p8(s317)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50605,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s317, s318)) | until2p7(s318) | (~xuntil2p8(s317)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50606,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s317, s318)) | until2p7(s318) | (~xuntil2p8(s317))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50605, 50604])).
% 9.97/7.43 tff(50607,plain,
% 9.97/7.43 (until2p7(s318) | (~xuntil2p8(s317))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50606, 12852, 49295])).
% 9.97/7.43 tff(50608,plain,
% 9.97/7.43 (~xuntil2p8(s317)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50607, 50603])).
% 9.97/7.43 tff(50609,plain,
% 9.97/7.43 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s317) | xuntil2p8(s317) | (~until2p7(s317)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s317) | xuntil2p8(s317) | (~until2p7(s317)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50610,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s317) | xuntil2p8(s317) | (~until2p7(s317)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50611,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s317) | xuntil2p8(s317) | (~until2p7(s317))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50610, 50609])).
% 9.97/7.43 tff(50612,plain,
% 9.97/7.43 (xuntil2p8(s317) | (~until2p7(s317))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50611, 49280, 47199])).
% 9.97/7.43 tff(50613,plain,
% 9.97/7.43 (~until2p7(s317)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50612, 50608])).
% 9.97/7.43 tff(50614,plain,
% 9.97/7.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s316, s317)) | until2p7(s317) | (~xuntil2p8(s316)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s316, s317)) | until2p7(s317) | (~xuntil2p8(s316)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50615,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s316, s317)) | until2p7(s317) | (~xuntil2p8(s316)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50616,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s316, s317)) | until2p7(s317) | (~xuntil2p8(s316))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50615, 50614])).
% 9.97/7.43 tff(50617,plain,
% 9.97/7.43 (until2p7(s317) | (~xuntil2p8(s316))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50616, 12881, 49295])).
% 9.97/7.43 tff(50618,plain,
% 9.97/7.43 (~xuntil2p8(s316)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50617, 50613])).
% 9.97/7.43 tff(50619,plain,
% 9.97/7.43 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s316) | xuntil2p8(s316) | (~until2p7(s316)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s316) | xuntil2p8(s316) | (~until2p7(s316)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50620,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s316) | xuntil2p8(s316) | (~until2p7(s316)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50621,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s316) | xuntil2p8(s316) | (~until2p7(s316))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50620, 50619])).
% 9.97/7.43 tff(50622,plain,
% 9.97/7.43 (xuntil2p8(s316) | (~until2p7(s316))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50621, 49280, 47195])).
% 9.97/7.43 tff(50623,plain,
% 9.97/7.43 (~until2p7(s316)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50622, 50618])).
% 9.97/7.43 tff(50624,plain,
% 9.97/7.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s315, s316)) | until2p7(s316) | (~xuntil2p8(s315)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s315, s316)) | until2p7(s316) | (~xuntil2p8(s315)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50625,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s315, s316)) | until2p7(s316) | (~xuntil2p8(s315)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50626,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s315, s316)) | until2p7(s316) | (~xuntil2p8(s315))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50625, 50624])).
% 9.97/7.43 tff(50627,plain,
% 9.97/7.43 (until2p7(s316) | (~xuntil2p8(s315))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50626, 5125, 49295])).
% 9.97/7.43 tff(50628,plain,
% 9.97/7.43 (~xuntil2p8(s315)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50627, 50623])).
% 9.97/7.43 tff(50629,plain,
% 9.97/7.43 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s315) | xuntil2p8(s315) | (~until2p7(s315)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s315) | xuntil2p8(s315) | (~until2p7(s315)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50630,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s315) | xuntil2p8(s315) | (~until2p7(s315)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50631,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s315) | xuntil2p8(s315) | (~until2p7(s315))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50630, 50629])).
% 9.97/7.43 tff(50632,plain,
% 9.97/7.43 (xuntil2p8(s315) | (~until2p7(s315))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50631, 49280, 47191])).
% 9.97/7.43 tff(50633,plain,
% 9.97/7.43 (~until2p7(s315)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50632, 50628])).
% 9.97/7.43 tff(50634,plain,
% 9.97/7.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s314, s315)) | until2p7(s315) | (~xuntil2p8(s314)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s314, s315)) | until2p7(s315) | (~xuntil2p8(s314)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50635,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s314, s315)) | until2p7(s315) | (~xuntil2p8(s314)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50636,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s314, s315)) | until2p7(s315) | (~xuntil2p8(s314))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50635, 50634])).
% 9.97/7.43 tff(50637,plain,
% 9.97/7.43 (until2p7(s315) | (~xuntil2p8(s314))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50636, 5137, 49295])).
% 9.97/7.43 tff(50638,plain,
% 9.97/7.43 (~xuntil2p8(s314)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50637, 50633])).
% 9.97/7.43 tff(50639,plain,
% 9.97/7.43 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s314) | xuntil2p8(s314) | (~until2p7(s314)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s314) | xuntil2p8(s314) | (~until2p7(s314)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50640,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s314) | xuntil2p8(s314) | (~until2p7(s314)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50641,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s314) | xuntil2p8(s314) | (~until2p7(s314))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50640, 50639])).
% 9.97/7.43 tff(50642,plain,
% 9.97/7.43 (xuntil2p8(s314) | (~until2p7(s314))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50641, 49280, 47187])).
% 9.97/7.43 tff(50643,plain,
% 9.97/7.43 (~until2p7(s314)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50642, 50638])).
% 9.97/7.43 tff(50644,plain,
% 9.97/7.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s313, s314)) | until2p7(s314) | (~xuntil2p8(s313)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s313, s314)) | until2p7(s314) | (~xuntil2p8(s313)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50645,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s313, s314)) | until2p7(s314) | (~xuntil2p8(s313)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50646,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s313, s314)) | until2p7(s314) | (~xuntil2p8(s313))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50645, 50644])).
% 9.97/7.43 tff(50647,plain,
% 9.97/7.43 (until2p7(s314) | (~xuntil2p8(s313))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50646, 5149, 49295])).
% 9.97/7.43 tff(50648,plain,
% 9.97/7.43 (~xuntil2p8(s313)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50647, 50643])).
% 9.97/7.43 tff(50649,plain,
% 9.97/7.43 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s313) | xuntil2p8(s313) | (~until2p7(s313)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s313) | xuntil2p8(s313) | (~until2p7(s313)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50650,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s313) | xuntil2p8(s313) | (~until2p7(s313)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50651,plain,
% 9.97/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s313) | xuntil2p8(s313) | (~until2p7(s313))),
% 9.97/7.43 inference(modus_ponens,[status(thm)],[50650, 50649])).
% 9.97/7.43 tff(50652,plain,
% 9.97/7.43 (xuntil2p8(s313) | (~until2p7(s313))),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50651, 49280, 47183])).
% 9.97/7.43 tff(50653,plain,
% 9.97/7.43 (~until2p7(s313)),
% 9.97/7.43 inference(unit_resolution,[status(thm)],[50652, 50648])).
% 9.97/7.43 tff(50654,plain,
% 9.97/7.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s312, s313)) | until2p7(s313) | (~xuntil2p8(s312)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s312, s313)) | until2p7(s313) | (~xuntil2p8(s312)))),
% 9.97/7.43 inference(rewrite,[status(thm)],[])).
% 9.97/7.43 tff(50655,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s312, s313)) | until2p7(s313) | (~xuntil2p8(s312)))),
% 9.97/7.43 inference(quant_inst,[status(thm)],[])).
% 9.97/7.43 tff(50656,plain,
% 9.97/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s312, s313)) | until2p7(s313) | (~xuntil2p8(s312))),
% 10.00/7.43 inference(modus_ponens,[status(thm)],[50655, 50654])).
% 10.00/7.43 tff(50657,plain,
% 10.00/7.43 (until2p7(s313) | (~xuntil2p8(s312))),
% 10.00/7.43 inference(unit_resolution,[status(thm)],[50656, 5161, 49295])).
% 10.00/7.43 tff(50658,plain,
% 10.00/7.43 (~xuntil2p8(s312)),
% 10.00/7.43 inference(unit_resolution,[status(thm)],[50657, 50653])).
% 10.00/7.43 tff(50659,plain,
% 10.00/7.43 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s312) | xuntil2p8(s312) | (~until2p7(s312)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s312) | xuntil2p8(s312) | (~until2p7(s312)))),
% 10.00/7.43 inference(rewrite,[status(thm)],[])).
% 10.00/7.43 tff(50660,plain,
% 10.00/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s312) | xuntil2p8(s312) | (~until2p7(s312)))),
% 10.00/7.43 inference(quant_inst,[status(thm)],[])).
% 10.00/7.43 tff(50661,plain,
% 10.00/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s312) | xuntil2p8(s312) | (~until2p7(s312))),
% 10.00/7.43 inference(modus_ponens,[status(thm)],[50660, 50659])).
% 10.00/7.43 tff(50662,plain,
% 10.00/7.43 (xuntil2p8(s312) | (~until2p7(s312))),
% 10.00/7.43 inference(unit_resolution,[status(thm)],[50661, 49280, 47179])).
% 10.00/7.43 tff(50663,plain,
% 10.00/7.43 (~until2p7(s312)),
% 10.00/7.43 inference(unit_resolution,[status(thm)],[50662, 50658])).
% 10.00/7.43 tff(50664,plain,
% 10.00/7.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s311, s312)) | until2p7(s312) | (~xuntil2p8(s311)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s311, s312)) | until2p7(s312) | (~xuntil2p8(s311)))),
% 10.00/7.43 inference(rewrite,[status(thm)],[])).
% 10.00/7.43 tff(50665,plain,
% 10.00/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s311, s312)) | until2p7(s312) | (~xuntil2p8(s311)))),
% 10.00/7.43 inference(quant_inst,[status(thm)],[])).
% 10.00/7.43 tff(50666,plain,
% 10.00/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s311, s312)) | until2p7(s312) | (~xuntil2p8(s311))),
% 10.00/7.43 inference(modus_ponens,[status(thm)],[50665, 50664])).
% 10.00/7.43 tff(50667,plain,
% 10.00/7.43 (until2p7(s312) | (~xuntil2p8(s311))),
% 10.00/7.43 inference(unit_resolution,[status(thm)],[50666, 5173, 49295])).
% 10.00/7.43 tff(50668,plain,
% 10.00/7.43 (~xuntil2p8(s311)),
% 10.00/7.43 inference(unit_resolution,[status(thm)],[50667, 50663])).
% 10.00/7.43 tff(50669,plain,
% 10.00/7.43 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s311) | xuntil2p8(s311) | (~until2p7(s311)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s311) | xuntil2p8(s311) | (~until2p7(s311)))),
% 10.00/7.43 inference(rewrite,[status(thm)],[])).
% 10.00/7.43 tff(50670,plain,
% 10.00/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s311) | xuntil2p8(s311) | (~until2p7(s311)))),
% 10.00/7.43 inference(quant_inst,[status(thm)],[])).
% 10.00/7.43 tff(50671,plain,
% 10.00/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s311) | xuntil2p8(s311) | (~until2p7(s311))),
% 10.00/7.43 inference(modus_ponens,[status(thm)],[50670, 50669])).
% 10.00/7.43 tff(50672,plain,
% 10.00/7.43 (xuntil2p8(s311) | (~until2p7(s311))),
% 10.00/7.43 inference(unit_resolution,[status(thm)],[50671, 49280, 47175])).
% 10.00/7.43 tff(50673,plain,
% 10.00/7.43 (~until2p7(s311)),
% 10.00/7.43 inference(unit_resolution,[status(thm)],[50672, 50668])).
% 10.00/7.43 tff(50674,plain,
% 10.00/7.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s310, s311)) | until2p7(s311) | (~xuntil2p8(s310)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s310, s311)) | until2p7(s311) | (~xuntil2p8(s310)))),
% 10.00/7.43 inference(rewrite,[status(thm)],[])).
% 10.00/7.43 tff(50675,plain,
% 10.00/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s310, s311)) | until2p7(s311) | (~xuntil2p8(s310)))),
% 10.00/7.43 inference(quant_inst,[status(thm)],[])).
% 10.00/7.43 tff(50676,plain,
% 10.00/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s310, s311)) | until2p7(s311) | (~xuntil2p8(s310))),
% 10.00/7.43 inference(modus_ponens,[status(thm)],[50675, 50674])).
% 10.00/7.43 tff(50677,plain,
% 10.00/7.43 (until2p7(s311) | (~xuntil2p8(s310))),
% 10.00/7.43 inference(unit_resolution,[status(thm)],[50676, 5185, 49295])).
% 10.00/7.43 tff(50678,plain,
% 10.00/7.43 (~xuntil2p8(s310)),
% 10.00/7.43 inference(unit_resolution,[status(thm)],[50677, 50673])).
% 10.00/7.43 tff(50679,plain,
% 10.00/7.43 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s310) | xuntil2p8(s310) | (~until2p7(s310)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s310) | xuntil2p8(s310) | (~until2p7(s310)))),
% 10.00/7.43 inference(rewrite,[status(thm)],[])).
% 10.00/7.43 tff(50680,plain,
% 10.00/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s310) | xuntil2p8(s310) | (~until2p7(s310)))),
% 10.00/7.43 inference(quant_inst,[status(thm)],[])).
% 10.00/7.43 tff(50681,plain,
% 10.00/7.43 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s310) | xuntil2p8(s310) | (~until2p7(s310))),
% 10.00/7.43 inference(modus_ponens,[status(thm)],[50680, 50679])).
% 10.00/7.43 tff(50682,plain,
% 10.00/7.43 (xuntil2p8(s310) | (~until2p7(s310))),
% 10.00/7.43 inference(unit_resolution,[status(thm)],[50681, 49280, 47171])).
% 10.00/7.43 tff(50683,plain,
% 10.00/7.43 (~until2p7(s310)),
% 10.00/7.43 inference(unit_resolution,[status(thm)],[50682, 50678])).
% 10.00/7.43 tff(50684,plain,
% 10.00/7.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s309, s310)) | until2p7(s310) | (~xuntil2p8(s309)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s309, s310)) | until2p7(s310) | (~xuntil2p8(s309)))),
% 10.00/7.43 inference(rewrite,[status(thm)],[])).
% 10.00/7.43 tff(50685,plain,
% 10.00/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s309, s310)) | until2p7(s310) | (~xuntil2p8(s309)))),
% 10.00/7.43 inference(quant_inst,[status(thm)],[])).
% 10.00/7.43 tff(50686,plain,
% 10.00/7.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s309, s310)) | until2p7(s310) | (~xuntil2p8(s309))),
% 10.00/7.43 inference(modus_ponens,[status(thm)],[50685, 50684])).
% 10.00/7.43 tff(50687,plain,
% 10.00/7.43 (until2p7(s310) | (~xuntil2p8(s309))),
% 10.00/7.43 inference(unit_resolution,[status(thm)],[50686, 5197, 49295])).
% 10.00/7.43 tff(50688,plain,
% 10.00/7.43 (~xuntil2p8(s309)),
% 10.00/7.43 inference(unit_resolution,[status(thm)],[50687, 50683])).
% 10.00/7.43 tff(50689,plain,
% 10.00/7.43 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s309) | xuntil2p8(s309) | (~until2p7(s309)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s309) | xuntil2p8(s309) | (~until2p7(s309)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50690,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s309) | xuntil2p8(s309) | (~until2p7(s309)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50691,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s309) | xuntil2p8(s309) | (~until2p7(s309))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50690, 50689])).
% 10.00/7.44 tff(50692,plain,
% 10.00/7.44 (xuntil2p8(s309) | (~until2p7(s309))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50691, 49280, 47167])).
% 10.00/7.44 tff(50693,plain,
% 10.00/7.44 (~until2p7(s309)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50692, 50688])).
% 10.00/7.44 tff(50694,plain,
% 10.00/7.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s308, s309)) | until2p7(s309) | (~xuntil2p8(s308)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s308, s309)) | until2p7(s309) | (~xuntil2p8(s308)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50695,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s308, s309)) | until2p7(s309) | (~xuntil2p8(s308)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50696,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s308, s309)) | until2p7(s309) | (~xuntil2p8(s308))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50695, 50694])).
% 10.00/7.44 tff(50697,plain,
% 10.00/7.44 (until2p7(s309) | (~xuntil2p8(s308))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50696, 5209, 49295])).
% 10.00/7.44 tff(50698,plain,
% 10.00/7.44 (~xuntil2p8(s308)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50697, 50693])).
% 10.00/7.44 tff(50699,plain,
% 10.00/7.44 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s308) | xuntil2p8(s308) | (~until2p7(s308)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s308) | xuntil2p8(s308) | (~until2p7(s308)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50700,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s308) | xuntil2p8(s308) | (~until2p7(s308)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50701,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s308) | xuntil2p8(s308) | (~until2p7(s308))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50700, 50699])).
% 10.00/7.44 tff(50702,plain,
% 10.00/7.44 (xuntil2p8(s308) | (~until2p7(s308))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50701, 49280, 47163])).
% 10.00/7.44 tff(50703,plain,
% 10.00/7.44 (~until2p7(s308)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50702, 50698])).
% 10.00/7.44 tff(50704,plain,
% 10.00/7.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s307, s308)) | until2p7(s308) | (~xuntil2p8(s307)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s307, s308)) | until2p7(s308) | (~xuntil2p8(s307)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50705,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s307, s308)) | until2p7(s308) | (~xuntil2p8(s307)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50706,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s307, s308)) | until2p7(s308) | (~xuntil2p8(s307))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50705, 50704])).
% 10.00/7.44 tff(50707,plain,
% 10.00/7.44 (until2p7(s308) | (~xuntil2p8(s307))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50706, 5221, 49295])).
% 10.00/7.44 tff(50708,plain,
% 10.00/7.44 (~xuntil2p8(s307)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50707, 50703])).
% 10.00/7.44 tff(50709,plain,
% 10.00/7.44 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s307) | xuntil2p8(s307) | (~until2p7(s307)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s307) | xuntil2p8(s307) | (~until2p7(s307)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50710,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s307) | xuntil2p8(s307) | (~until2p7(s307)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50711,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s307) | xuntil2p8(s307) | (~until2p7(s307))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50710, 50709])).
% 10.00/7.44 tff(50712,plain,
% 10.00/7.44 (xuntil2p8(s307) | (~until2p7(s307))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50711, 49280, 47159])).
% 10.00/7.44 tff(50713,plain,
% 10.00/7.44 (~until2p7(s307)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50712, 50708])).
% 10.00/7.44 tff(50714,plain,
% 10.00/7.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s306, s307)) | until2p7(s307) | (~xuntil2p8(s306)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s306, s307)) | until2p7(s307) | (~xuntil2p8(s306)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50715,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s306, s307)) | until2p7(s307) | (~xuntil2p8(s306)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50716,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s306, s307)) | until2p7(s307) | (~xuntil2p8(s306))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50715, 50714])).
% 10.00/7.44 tff(50717,plain,
% 10.00/7.44 (until2p7(s307) | (~xuntil2p8(s306))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50716, 5233, 49295])).
% 10.00/7.44 tff(50718,plain,
% 10.00/7.44 (~xuntil2p8(s306)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50717, 50713])).
% 10.00/7.44 tff(50719,plain,
% 10.00/7.44 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s306) | xuntil2p8(s306) | (~until2p7(s306)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s306) | xuntil2p8(s306) | (~until2p7(s306)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50720,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s306) | xuntil2p8(s306) | (~until2p7(s306)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50721,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s306) | xuntil2p8(s306) | (~until2p7(s306))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50720, 50719])).
% 10.00/7.44 tff(50722,plain,
% 10.00/7.44 (xuntil2p8(s306) | (~until2p7(s306))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50721, 49280, 47155])).
% 10.00/7.44 tff(50723,plain,
% 10.00/7.44 (~until2p7(s306)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50722, 50718])).
% 10.00/7.44 tff(50724,plain,
% 10.00/7.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s305, s306)) | until2p7(s306) | (~xuntil2p8(s305)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s305, s306)) | until2p7(s306) | (~xuntil2p8(s305)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50725,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s305, s306)) | until2p7(s306) | (~xuntil2p8(s305)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50726,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s305, s306)) | until2p7(s306) | (~xuntil2p8(s305))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50725, 50724])).
% 10.00/7.44 tff(50727,plain,
% 10.00/7.44 (until2p7(s306) | (~xuntil2p8(s305))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50726, 5245, 49295])).
% 10.00/7.44 tff(50728,plain,
% 10.00/7.44 (~xuntil2p8(s305)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50727, 50723])).
% 10.00/7.44 tff(50729,plain,
% 10.00/7.44 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s305) | xuntil2p8(s305) | (~until2p7(s305)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s305) | xuntil2p8(s305) | (~until2p7(s305)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50730,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s305) | xuntil2p8(s305) | (~until2p7(s305)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50731,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s305) | xuntil2p8(s305) | (~until2p7(s305))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50730, 50729])).
% 10.00/7.44 tff(50732,plain,
% 10.00/7.44 (xuntil2p8(s305) | (~until2p7(s305))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50731, 49280, 47151])).
% 10.00/7.44 tff(50733,plain,
% 10.00/7.44 (~until2p7(s305)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50732, 50728])).
% 10.00/7.44 tff(50734,plain,
% 10.00/7.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s304, s305)) | until2p7(s305) | (~xuntil2p8(s304)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s304, s305)) | until2p7(s305) | (~xuntil2p8(s304)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50735,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s304, s305)) | until2p7(s305) | (~xuntil2p8(s304)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50736,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s304, s305)) | until2p7(s305) | (~xuntil2p8(s304))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50735, 50734])).
% 10.00/7.44 tff(50737,plain,
% 10.00/7.44 (until2p7(s305) | (~xuntil2p8(s304))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50736, 5257, 49295])).
% 10.00/7.44 tff(50738,plain,
% 10.00/7.44 (~xuntil2p8(s304)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50737, 50733])).
% 10.00/7.44 tff(50739,plain,
% 10.00/7.44 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s304) | xuntil2p8(s304) | (~until2p7(s304)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s304) | xuntil2p8(s304) | (~until2p7(s304)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50740,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s304) | xuntil2p8(s304) | (~until2p7(s304)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50741,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s304) | xuntil2p8(s304) | (~until2p7(s304))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50740, 50739])).
% 10.00/7.44 tff(50742,plain,
% 10.00/7.44 (xuntil2p8(s304) | (~until2p7(s304))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50741, 49280, 47147])).
% 10.00/7.44 tff(50743,plain,
% 10.00/7.44 (~until2p7(s304)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50742, 50738])).
% 10.00/7.44 tff(50744,plain,
% 10.00/7.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s303, s304)) | until2p7(s304) | (~xuntil2p8(s303)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s303, s304)) | until2p7(s304) | (~xuntil2p8(s303)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50745,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s303, s304)) | until2p7(s304) | (~xuntil2p8(s303)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50746,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s303, s304)) | until2p7(s304) | (~xuntil2p8(s303))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50745, 50744])).
% 10.00/7.44 tff(50747,plain,
% 10.00/7.44 (until2p7(s304) | (~xuntil2p8(s303))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50746, 5269, 49295])).
% 10.00/7.44 tff(50748,plain,
% 10.00/7.44 (~xuntil2p8(s303)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50747, 50743])).
% 10.00/7.44 tff(50749,plain,
% 10.00/7.44 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s303) | xuntil2p8(s303) | (~until2p7(s303)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s303) | xuntil2p8(s303) | (~until2p7(s303)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50750,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s303) | xuntil2p8(s303) | (~until2p7(s303)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50751,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s303) | xuntil2p8(s303) | (~until2p7(s303))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50750, 50749])).
% 10.00/7.44 tff(50752,plain,
% 10.00/7.44 (xuntil2p8(s303) | (~until2p7(s303))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50751, 49280, 47143])).
% 10.00/7.44 tff(50753,plain,
% 10.00/7.44 (~until2p7(s303)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50752, 50748])).
% 10.00/7.44 tff(50754,plain,
% 10.00/7.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s302, s303)) | until2p7(s303) | (~xuntil2p8(s302)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s302, s303)) | until2p7(s303) | (~xuntil2p8(s302)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50755,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s302, s303)) | until2p7(s303) | (~xuntil2p8(s302)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50756,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s302, s303)) | until2p7(s303) | (~xuntil2p8(s302))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50755, 50754])).
% 10.00/7.44 tff(50757,plain,
% 10.00/7.44 (until2p7(s303) | (~xuntil2p8(s302))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50756, 5281, 49295])).
% 10.00/7.44 tff(50758,plain,
% 10.00/7.44 (~xuntil2p8(s302)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50757, 50753])).
% 10.00/7.44 tff(50759,plain,
% 10.00/7.44 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s302) | xuntil2p8(s302) | (~until2p7(s302)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s302) | xuntil2p8(s302) | (~until2p7(s302)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50760,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s302) | xuntil2p8(s302) | (~until2p7(s302)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50761,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s302) | xuntil2p8(s302) | (~until2p7(s302))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50760, 50759])).
% 10.00/7.44 tff(50762,plain,
% 10.00/7.44 (xuntil2p8(s302) | (~until2p7(s302))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50761, 49280, 47139])).
% 10.00/7.44 tff(50763,plain,
% 10.00/7.44 (~until2p7(s302)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50762, 50758])).
% 10.00/7.44 tff(50764,plain,
% 10.00/7.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s301, s302)) | until2p7(s302) | (~xuntil2p8(s301)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s301, s302)) | until2p7(s302) | (~xuntil2p8(s301)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50765,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s301, s302)) | until2p7(s302) | (~xuntil2p8(s301)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50766,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s301, s302)) | until2p7(s302) | (~xuntil2p8(s301))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50765, 50764])).
% 10.00/7.44 tff(50767,plain,
% 10.00/7.44 (until2p7(s302) | (~xuntil2p8(s301))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50766, 5293, 49295])).
% 10.00/7.44 tff(50768,plain,
% 10.00/7.44 (~xuntil2p8(s301)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50767, 50763])).
% 10.00/7.44 tff(50769,plain,
% 10.00/7.44 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s301) | xuntil2p8(s301) | (~until2p7(s301)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s301) | xuntil2p8(s301) | (~until2p7(s301)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50770,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s301) | xuntil2p8(s301) | (~until2p7(s301)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50771,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s301) | xuntil2p8(s301) | (~until2p7(s301))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50770, 50769])).
% 10.00/7.44 tff(50772,plain,
% 10.00/7.44 (xuntil2p8(s301) | (~until2p7(s301))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50771, 49280, 47135])).
% 10.00/7.44 tff(50773,plain,
% 10.00/7.44 (~until2p7(s301)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50772, 50768])).
% 10.00/7.44 tff(50774,plain,
% 10.00/7.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s300, s301)) | until2p7(s301) | (~xuntil2p8(s300)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s300, s301)) | until2p7(s301) | (~xuntil2p8(s300)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50775,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s300, s301)) | until2p7(s301) | (~xuntil2p8(s300)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50776,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s300, s301)) | until2p7(s301) | (~xuntil2p8(s300))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50775, 50774])).
% 10.00/7.44 tff(50777,plain,
% 10.00/7.44 (until2p7(s301) | (~xuntil2p8(s300))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50776, 5305, 49295])).
% 10.00/7.44 tff(50778,plain,
% 10.00/7.44 (~xuntil2p8(s300)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50777, 50773])).
% 10.00/7.44 tff(50779,plain,
% 10.00/7.44 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s300) | xuntil2p8(s300) | (~until2p7(s300)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s300) | xuntil2p8(s300) | (~until2p7(s300)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50780,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s300) | xuntil2p8(s300) | (~until2p7(s300)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50781,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s300) | xuntil2p8(s300) | (~until2p7(s300))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50780, 50779])).
% 10.00/7.44 tff(50782,plain,
% 10.00/7.44 (xuntil2p8(s300) | (~until2p7(s300))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50781, 49280, 47131])).
% 10.00/7.44 tff(50783,plain,
% 10.00/7.44 (~until2p7(s300)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50782, 50778])).
% 10.00/7.44 tff(50784,plain,
% 10.00/7.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s299, s300)) | until2p7(s300) | (~xuntil2p8(s299)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s299, s300)) | until2p7(s300) | (~xuntil2p8(s299)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50785,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s299, s300)) | until2p7(s300) | (~xuntil2p8(s299)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50786,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s299, s300)) | until2p7(s300) | (~xuntil2p8(s299))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50785, 50784])).
% 10.00/7.44 tff(50787,plain,
% 10.00/7.44 (until2p7(s300) | (~xuntil2p8(s299))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50786, 5317, 49295])).
% 10.00/7.44 tff(50788,plain,
% 10.00/7.44 (~xuntil2p8(s299)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50787, 50783])).
% 10.00/7.44 tff(50789,plain,
% 10.00/7.44 (((~![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)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50790,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s299) | xuntil2p8(s299) | (~until2p7(s299)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50791,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s299) | xuntil2p8(s299) | (~until2p7(s299))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50790, 50789])).
% 10.00/7.44 tff(50792,plain,
% 10.00/7.44 (xuntil2p8(s299) | (~until2p7(s299))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50791, 49280, 47127])).
% 10.00/7.44 tff(50793,plain,
% 10.00/7.44 (~until2p7(s299)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50792, 50788])).
% 10.00/7.44 tff(50794,plain,
% 10.00/7.44 (((~![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)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50795,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s298, s299)) | until2p7(s299) | (~xuntil2p8(s298)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50796,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s298, s299)) | until2p7(s299) | (~xuntil2p8(s298))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50795, 50794])).
% 10.00/7.44 tff(50797,plain,
% 10.00/7.44 (until2p7(s299) | (~xuntil2p8(s298))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50796, 5329, 49295])).
% 10.00/7.44 tff(50798,plain,
% 10.00/7.44 (~xuntil2p8(s298)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50797, 50793])).
% 10.00/7.44 tff(50799,plain,
% 10.00/7.44 (((~![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)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50800,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s298) | xuntil2p8(s298) | (~until2p7(s298)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50801,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s298) | xuntil2p8(s298) | (~until2p7(s298))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50800, 50799])).
% 10.00/7.44 tff(50802,plain,
% 10.00/7.44 (xuntil2p8(s298) | (~until2p7(s298))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50801, 49280, 47123])).
% 10.00/7.44 tff(50803,plain,
% 10.00/7.44 (~until2p7(s298)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50802, 50798])).
% 10.00/7.44 tff(50804,plain,
% 10.00/7.44 (((~![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)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50805,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s297, s298)) | until2p7(s298) | (~xuntil2p8(s297)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50806,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s297, s298)) | until2p7(s298) | (~xuntil2p8(s297))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50805, 50804])).
% 10.00/7.44 tff(50807,plain,
% 10.00/7.44 (until2p7(s298) | (~xuntil2p8(s297))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50806, 5341, 49295])).
% 10.00/7.44 tff(50808,plain,
% 10.00/7.44 (~xuntil2p8(s297)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50807, 50803])).
% 10.00/7.44 tff(50809,plain,
% 10.00/7.44 (((~![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)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50810,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s297) | xuntil2p8(s297) | (~until2p7(s297)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50811,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s297) | xuntil2p8(s297) | (~until2p7(s297))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50810, 50809])).
% 10.00/7.44 tff(50812,plain,
% 10.00/7.44 (xuntil2p8(s297) | (~until2p7(s297))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50811, 49280, 47119])).
% 10.00/7.44 tff(50813,plain,
% 10.00/7.44 (~until2p7(s297)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50812, 50808])).
% 10.00/7.44 tff(50814,plain,
% 10.00/7.44 (((~![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)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50815,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s296, s297)) | until2p7(s297) | (~xuntil2p8(s296)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50816,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s296, s297)) | until2p7(s297) | (~xuntil2p8(s296))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50815, 50814])).
% 10.00/7.44 tff(50817,plain,
% 10.00/7.44 (until2p7(s297) | (~xuntil2p8(s296))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50816, 5353, 49295])).
% 10.00/7.44 tff(50818,plain,
% 10.00/7.44 (~xuntil2p8(s296)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50817, 50813])).
% 10.00/7.44 tff(50819,plain,
% 10.00/7.44 (((~![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)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50820,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s296) | xuntil2p8(s296) | (~until2p7(s296)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50821,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s296) | xuntil2p8(s296) | (~until2p7(s296))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50820, 50819])).
% 10.00/7.44 tff(50822,plain,
% 10.00/7.44 (xuntil2p8(s296) | (~until2p7(s296))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50821, 49280, 47115])).
% 10.00/7.44 tff(50823,plain,
% 10.00/7.44 (~until2p7(s296)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50822, 50818])).
% 10.00/7.44 tff(50824,plain,
% 10.00/7.44 (((~![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)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50825,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s295, s296)) | until2p7(s296) | (~xuntil2p8(s295)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50826,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s295, s296)) | until2p7(s296) | (~xuntil2p8(s295))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50825, 50824])).
% 10.00/7.44 tff(50827,plain,
% 10.00/7.44 (until2p7(s296) | (~xuntil2p8(s295))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50826, 5365, 49295])).
% 10.00/7.44 tff(50828,plain,
% 10.00/7.44 (~xuntil2p8(s295)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50827, 50823])).
% 10.00/7.44 tff(50829,plain,
% 10.00/7.44 (((~![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)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50830,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s295) | xuntil2p8(s295) | (~until2p7(s295)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50831,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s295) | xuntil2p8(s295) | (~until2p7(s295))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50830, 50829])).
% 10.00/7.44 tff(50832,plain,
% 10.00/7.44 (xuntil2p8(s295) | (~until2p7(s295))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50831, 49280, 47111])).
% 10.00/7.44 tff(50833,plain,
% 10.00/7.44 (~until2p7(s295)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50832, 50828])).
% 10.00/7.44 tff(50834,plain,
% 10.00/7.44 (((~![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)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50835,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s294, s295)) | until2p7(s295) | (~xuntil2p8(s294)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50836,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s294, s295)) | until2p7(s295) | (~xuntil2p8(s294))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50835, 50834])).
% 10.00/7.44 tff(50837,plain,
% 10.00/7.44 (until2p7(s295) | (~xuntil2p8(s294))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50836, 5377, 49295])).
% 10.00/7.44 tff(50838,plain,
% 10.00/7.44 (~xuntil2p8(s294)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50837, 50833])).
% 10.00/7.44 tff(50839,plain,
% 10.00/7.44 (((~![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)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50840,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s294) | xuntil2p8(s294) | (~until2p7(s294)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50841,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s294) | xuntil2p8(s294) | (~until2p7(s294))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50840, 50839])).
% 10.00/7.44 tff(50842,plain,
% 10.00/7.44 (xuntil2p8(s294) | (~until2p7(s294))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50841, 49280, 47107])).
% 10.00/7.44 tff(50843,plain,
% 10.00/7.44 (~until2p7(s294)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50842, 50838])).
% 10.00/7.44 tff(50844,plain,
% 10.00/7.44 (((~![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)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50845,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s293, s294)) | until2p7(s294) | (~xuntil2p8(s293)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50846,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s293, s294)) | until2p7(s294) | (~xuntil2p8(s293))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50845, 50844])).
% 10.00/7.44 tff(50847,plain,
% 10.00/7.44 (until2p7(s294) | (~xuntil2p8(s293))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50846, 5389, 49295])).
% 10.00/7.44 tff(50848,plain,
% 10.00/7.44 (~xuntil2p8(s293)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50847, 50843])).
% 10.00/7.44 tff(50849,plain,
% 10.00/7.44 (((~![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)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50850,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s293) | xuntil2p8(s293) | (~until2p7(s293)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50851,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s293) | xuntil2p8(s293) | (~until2p7(s293))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50850, 50849])).
% 10.00/7.44 tff(50852,plain,
% 10.00/7.44 (xuntil2p8(s293) | (~until2p7(s293))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50851, 49280, 47103])).
% 10.00/7.44 tff(50853,plain,
% 10.00/7.44 (~until2p7(s293)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50852, 50848])).
% 10.00/7.44 tff(50854,plain,
% 10.00/7.44 (((~![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)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50855,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s292, s293)) | until2p7(s293) | (~xuntil2p8(s292)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50856,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s292, s293)) | until2p7(s293) | (~xuntil2p8(s292))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50855, 50854])).
% 10.00/7.44 tff(50857,plain,
% 10.00/7.44 (until2p7(s293) | (~xuntil2p8(s292))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50856, 5401, 49295])).
% 10.00/7.44 tff(50858,plain,
% 10.00/7.44 (~xuntil2p8(s292)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50857, 50853])).
% 10.00/7.44 tff(50859,plain,
% 10.00/7.44 (((~![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)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50860,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s292) | xuntil2p8(s292) | (~until2p7(s292)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50861,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s292) | xuntil2p8(s292) | (~until2p7(s292))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50860, 50859])).
% 10.00/7.44 tff(50862,plain,
% 10.00/7.44 (xuntil2p8(s292) | (~until2p7(s292))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50861, 49280, 47099])).
% 10.00/7.44 tff(50863,plain,
% 10.00/7.44 (~until2p7(s292)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50862, 50858])).
% 10.00/7.44 tff(50864,plain,
% 10.00/7.44 (((~![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)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50865,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s291, s292)) | until2p7(s292) | (~xuntil2p8(s291)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50866,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s291, s292)) | until2p7(s292) | (~xuntil2p8(s291))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50865, 50864])).
% 10.00/7.44 tff(50867,plain,
% 10.00/7.44 (until2p7(s292) | (~xuntil2p8(s291))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50866, 5413, 49295])).
% 10.00/7.44 tff(50868,plain,
% 10.00/7.44 (~xuntil2p8(s291)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50867, 50863])).
% 10.00/7.44 tff(50869,plain,
% 10.00/7.44 (((~![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)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50870,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s291) | xuntil2p8(s291) | (~until2p7(s291)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50871,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s291) | xuntil2p8(s291) | (~until2p7(s291))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50870, 50869])).
% 10.00/7.44 tff(50872,plain,
% 10.00/7.44 (xuntil2p8(s291) | (~until2p7(s291))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50871, 49280, 47095])).
% 10.00/7.44 tff(50873,plain,
% 10.00/7.44 (~until2p7(s291)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50872, 50868])).
% 10.00/7.44 tff(50874,plain,
% 10.00/7.44 (((~![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)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50875,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s290, s291)) | until2p7(s291) | (~xuntil2p8(s290)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50876,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s290, s291)) | until2p7(s291) | (~xuntil2p8(s290))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50875, 50874])).
% 10.00/7.44 tff(50877,plain,
% 10.00/7.44 (until2p7(s291) | (~xuntil2p8(s290))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50876, 5425, 49295])).
% 10.00/7.44 tff(50878,plain,
% 10.00/7.44 (~xuntil2p8(s290)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50877, 50873])).
% 10.00/7.44 tff(50879,plain,
% 10.00/7.44 (((~![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)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50880,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s290) | xuntil2p8(s290) | (~until2p7(s290)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.44 tff(50881,plain,
% 10.00/7.44 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s290) | xuntil2p8(s290) | (~until2p7(s290))),
% 10.00/7.44 inference(modus_ponens,[status(thm)],[50880, 50879])).
% 10.00/7.44 tff(50882,plain,
% 10.00/7.44 (xuntil2p8(s290) | (~until2p7(s290))),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50881, 49280, 47091])).
% 10.00/7.44 tff(50883,plain,
% 10.00/7.44 (~until2p7(s290)),
% 10.00/7.44 inference(unit_resolution,[status(thm)],[50882, 50878])).
% 10.00/7.44 tff(50884,plain,
% 10.00/7.44 (((~![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)))),
% 10.00/7.44 inference(rewrite,[status(thm)],[])).
% 10.00/7.44 tff(50885,plain,
% 10.00/7.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s289, s290)) | until2p7(s290) | (~xuntil2p8(s289)))),
% 10.00/7.44 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(50886,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s289, s290)) | until2p7(s290) | (~xuntil2p8(s289))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[50885, 50884])).
% 10.00/7.45 tff(50887,plain,
% 10.00/7.45 (until2p7(s290) | (~xuntil2p8(s289))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50886, 5437, 49295])).
% 10.00/7.45 tff(50888,plain,
% 10.00/7.45 (~xuntil2p8(s289)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50887, 50883])).
% 10.00/7.45 tff(50889,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(50890,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s289) | xuntil2p8(s289) | (~until2p7(s289)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(50891,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s289) | xuntil2p8(s289) | (~until2p7(s289))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[50890, 50889])).
% 10.00/7.45 tff(50892,plain,
% 10.00/7.45 (xuntil2p8(s289) | (~until2p7(s289))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50891, 49280, 47087])).
% 10.00/7.45 tff(50893,plain,
% 10.00/7.45 (~until2p7(s289)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50892, 50888])).
% 10.00/7.45 tff(50894,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(50895,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s288, s289)) | until2p7(s289) | (~xuntil2p8(s288)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(50896,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s288, s289)) | until2p7(s289) | (~xuntil2p8(s288))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[50895, 50894])).
% 10.00/7.45 tff(50897,plain,
% 10.00/7.45 (until2p7(s289) | (~xuntil2p8(s288))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50896, 5449, 49295])).
% 10.00/7.45 tff(50898,plain,
% 10.00/7.45 (~xuntil2p8(s288)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50897, 50893])).
% 10.00/7.45 tff(50899,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(50900,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s288) | xuntil2p8(s288) | (~until2p7(s288)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(50901,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s288) | xuntil2p8(s288) | (~until2p7(s288))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[50900, 50899])).
% 10.00/7.45 tff(50902,plain,
% 10.00/7.45 (xuntil2p8(s288) | (~until2p7(s288))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50901, 49280, 47083])).
% 10.00/7.45 tff(50903,plain,
% 10.00/7.45 (~until2p7(s288)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50902, 50898])).
% 10.00/7.45 tff(50904,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(50905,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s287, s288)) | until2p7(s288) | (~xuntil2p8(s287)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(50906,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s287, s288)) | until2p7(s288) | (~xuntil2p8(s287))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[50905, 50904])).
% 10.00/7.45 tff(50907,plain,
% 10.00/7.45 (until2p7(s288) | (~xuntil2p8(s287))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50906, 5461, 49295])).
% 10.00/7.45 tff(50908,plain,
% 10.00/7.45 (~xuntil2p8(s287)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50907, 50903])).
% 10.00/7.45 tff(50909,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(50910,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s287) | xuntil2p8(s287) | (~until2p7(s287)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(50911,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s287) | xuntil2p8(s287) | (~until2p7(s287))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[50910, 50909])).
% 10.00/7.45 tff(50912,plain,
% 10.00/7.45 (xuntil2p8(s287) | (~until2p7(s287))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50911, 49280, 47079])).
% 10.00/7.45 tff(50913,plain,
% 10.00/7.45 (~until2p7(s287)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50912, 50908])).
% 10.00/7.45 tff(50914,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(50915,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s286, s287)) | until2p7(s287) | (~xuntil2p8(s286)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(50916,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s286, s287)) | until2p7(s287) | (~xuntil2p8(s286))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[50915, 50914])).
% 10.00/7.45 tff(50917,plain,
% 10.00/7.45 (until2p7(s287) | (~xuntil2p8(s286))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50916, 5473, 49295])).
% 10.00/7.45 tff(50918,plain,
% 10.00/7.45 (~xuntil2p8(s286)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50917, 50913])).
% 10.00/7.45 tff(50919,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(50920,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s286) | xuntil2p8(s286) | (~until2p7(s286)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(50921,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s286) | xuntil2p8(s286) | (~until2p7(s286))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[50920, 50919])).
% 10.00/7.45 tff(50922,plain,
% 10.00/7.45 (xuntil2p8(s286) | (~until2p7(s286))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50921, 49280, 47075])).
% 10.00/7.45 tff(50923,plain,
% 10.00/7.45 (~until2p7(s286)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50922, 50918])).
% 10.00/7.45 tff(50924,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(50925,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s285, s286)) | until2p7(s286) | (~xuntil2p8(s285)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(50926,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s285, s286)) | until2p7(s286) | (~xuntil2p8(s285))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[50925, 50924])).
% 10.00/7.45 tff(50927,plain,
% 10.00/7.45 (until2p7(s286) | (~xuntil2p8(s285))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50926, 5485, 49295])).
% 10.00/7.45 tff(50928,plain,
% 10.00/7.45 (~xuntil2p8(s285)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50927, 50923])).
% 10.00/7.45 tff(50929,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(50930,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s285) | xuntil2p8(s285) | (~until2p7(s285)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(50931,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s285) | xuntil2p8(s285) | (~until2p7(s285))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[50930, 50929])).
% 10.00/7.45 tff(50932,plain,
% 10.00/7.45 (xuntil2p8(s285) | (~until2p7(s285))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50931, 49280, 47071])).
% 10.00/7.45 tff(50933,plain,
% 10.00/7.45 (~until2p7(s285)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50932, 50928])).
% 10.00/7.45 tff(50934,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(50935,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s284, s285)) | until2p7(s285) | (~xuntil2p8(s284)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(50936,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s284, s285)) | until2p7(s285) | (~xuntil2p8(s284))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[50935, 50934])).
% 10.00/7.45 tff(50937,plain,
% 10.00/7.45 (until2p7(s285) | (~xuntil2p8(s284))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50936, 5497, 49295])).
% 10.00/7.45 tff(50938,plain,
% 10.00/7.45 (~xuntil2p8(s284)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50937, 50933])).
% 10.00/7.45 tff(50939,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(50940,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s284) | xuntil2p8(s284) | (~until2p7(s284)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(50941,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s284) | xuntil2p8(s284) | (~until2p7(s284))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[50940, 50939])).
% 10.00/7.45 tff(50942,plain,
% 10.00/7.45 (xuntil2p8(s284) | (~until2p7(s284))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50941, 49280, 47067])).
% 10.00/7.45 tff(50943,plain,
% 10.00/7.45 (~until2p7(s284)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50942, 50938])).
% 10.00/7.45 tff(50944,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(50945,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s283, s284)) | until2p7(s284) | (~xuntil2p8(s283)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(50946,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s283, s284)) | until2p7(s284) | (~xuntil2p8(s283))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[50945, 50944])).
% 10.00/7.45 tff(50947,plain,
% 10.00/7.45 (until2p7(s284) | (~xuntil2p8(s283))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50946, 5509, 49295])).
% 10.00/7.45 tff(50948,plain,
% 10.00/7.45 (~xuntil2p8(s283)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50947, 50943])).
% 10.00/7.45 tff(50949,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(50950,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s283) | xuntil2p8(s283) | (~until2p7(s283)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(50951,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s283) | xuntil2p8(s283) | (~until2p7(s283))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[50950, 50949])).
% 10.00/7.45 tff(50952,plain,
% 10.00/7.45 (xuntil2p8(s283) | (~until2p7(s283))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50951, 49280, 47063])).
% 10.00/7.45 tff(50953,plain,
% 10.00/7.45 (~until2p7(s283)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50952, 50948])).
% 10.00/7.45 tff(50954,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(50955,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s282, s283)) | until2p7(s283) | (~xuntil2p8(s282)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(50956,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s282, s283)) | until2p7(s283) | (~xuntil2p8(s282))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[50955, 50954])).
% 10.00/7.45 tff(50957,plain,
% 10.00/7.45 (until2p7(s283) | (~xuntil2p8(s282))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50956, 5521, 49295])).
% 10.00/7.45 tff(50958,plain,
% 10.00/7.45 (~xuntil2p8(s282)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50957, 50953])).
% 10.00/7.45 tff(50959,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(50960,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s282) | xuntil2p8(s282) | (~until2p7(s282)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(50961,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s282) | xuntil2p8(s282) | (~until2p7(s282))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[50960, 50959])).
% 10.00/7.45 tff(50962,plain,
% 10.00/7.45 (xuntil2p8(s282) | (~until2p7(s282))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50961, 49280, 47059])).
% 10.00/7.45 tff(50963,plain,
% 10.00/7.45 (~until2p7(s282)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50962, 50958])).
% 10.00/7.45 tff(50964,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(50965,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s281, s282)) | until2p7(s282) | (~xuntil2p8(s281)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(50966,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s281, s282)) | until2p7(s282) | (~xuntil2p8(s281))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[50965, 50964])).
% 10.00/7.45 tff(50967,plain,
% 10.00/7.45 (until2p7(s282) | (~xuntil2p8(s281))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50966, 5533, 49295])).
% 10.00/7.45 tff(50968,plain,
% 10.00/7.45 (~xuntil2p8(s281)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50967, 50963])).
% 10.00/7.45 tff(50969,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(50970,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s281) | xuntil2p8(s281) | (~until2p7(s281)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(50971,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s281) | xuntil2p8(s281) | (~until2p7(s281))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[50970, 50969])).
% 10.00/7.45 tff(50972,plain,
% 10.00/7.45 (xuntil2p8(s281) | (~until2p7(s281))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50971, 49280, 47055])).
% 10.00/7.45 tff(50973,plain,
% 10.00/7.45 (~until2p7(s281)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50972, 50968])).
% 10.00/7.45 tff(50974,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(50975,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s280, s281)) | until2p7(s281) | (~xuntil2p8(s280)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(50976,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s280, s281)) | until2p7(s281) | (~xuntil2p8(s280))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[50975, 50974])).
% 10.00/7.45 tff(50977,plain,
% 10.00/7.45 (until2p7(s281) | (~xuntil2p8(s280))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50976, 5545, 49295])).
% 10.00/7.45 tff(50978,plain,
% 10.00/7.45 (~xuntil2p8(s280)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50977, 50973])).
% 10.00/7.45 tff(50979,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(50980,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s280) | xuntil2p8(s280) | (~until2p7(s280)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(50981,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s280) | xuntil2p8(s280) | (~until2p7(s280))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[50980, 50979])).
% 10.00/7.45 tff(50982,plain,
% 10.00/7.45 (xuntil2p8(s280) | (~until2p7(s280))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50981, 49280, 47051])).
% 10.00/7.45 tff(50983,plain,
% 10.00/7.45 (~until2p7(s280)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50982, 50978])).
% 10.00/7.45 tff(50984,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(50985,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s279, s280)) | until2p7(s280) | (~xuntil2p8(s279)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(50986,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s279, s280)) | until2p7(s280) | (~xuntil2p8(s279))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[50985, 50984])).
% 10.00/7.45 tff(50987,plain,
% 10.00/7.45 (until2p7(s280) | (~xuntil2p8(s279))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50986, 5557, 49295])).
% 10.00/7.45 tff(50988,plain,
% 10.00/7.45 (~xuntil2p8(s279)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50987, 50983])).
% 10.00/7.45 tff(50989,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(50990,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s279) | xuntil2p8(s279) | (~until2p7(s279)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(50991,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s279) | xuntil2p8(s279) | (~until2p7(s279))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[50990, 50989])).
% 10.00/7.45 tff(50992,plain,
% 10.00/7.45 (xuntil2p8(s279) | (~until2p7(s279))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50991, 49280, 47047])).
% 10.00/7.45 tff(50993,plain,
% 10.00/7.45 (~until2p7(s279)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50992, 50988])).
% 10.00/7.45 tff(50994,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(50995,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s278, s279)) | until2p7(s279) | (~xuntil2p8(s278)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(50996,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s278, s279)) | until2p7(s279) | (~xuntil2p8(s278))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[50995, 50994])).
% 10.00/7.45 tff(50997,plain,
% 10.00/7.45 (until2p7(s279) | (~xuntil2p8(s278))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50996, 5569, 49295])).
% 10.00/7.45 tff(50998,plain,
% 10.00/7.45 (~xuntil2p8(s278)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[50997, 50993])).
% 10.00/7.45 tff(50999,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(51000,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s278) | xuntil2p8(s278) | (~until2p7(s278)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(51001,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s278) | xuntil2p8(s278) | (~until2p7(s278))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[51000, 50999])).
% 10.00/7.45 tff(51002,plain,
% 10.00/7.45 (xuntil2p8(s278) | (~until2p7(s278))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51001, 49280, 47043])).
% 10.00/7.45 tff(51003,plain,
% 10.00/7.45 (~until2p7(s278)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51002, 50998])).
% 10.00/7.45 tff(51004,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(51005,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s277, s278)) | until2p7(s278) | (~xuntil2p8(s277)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(51006,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s277, s278)) | until2p7(s278) | (~xuntil2p8(s277))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[51005, 51004])).
% 10.00/7.45 tff(51007,plain,
% 10.00/7.45 (until2p7(s278) | (~xuntil2p8(s277))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51006, 5581, 49295])).
% 10.00/7.45 tff(51008,plain,
% 10.00/7.45 (~xuntil2p8(s277)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51007, 51003])).
% 10.00/7.45 tff(51009,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(51010,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s277) | xuntil2p8(s277) | (~until2p7(s277)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(51011,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s277) | xuntil2p8(s277) | (~until2p7(s277))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[51010, 51009])).
% 10.00/7.45 tff(51012,plain,
% 10.00/7.45 (xuntil2p8(s277) | (~until2p7(s277))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51011, 49280, 47039])).
% 10.00/7.45 tff(51013,plain,
% 10.00/7.45 (~until2p7(s277)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51012, 51008])).
% 10.00/7.45 tff(51014,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(51015,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s276, s277)) | until2p7(s277) | (~xuntil2p8(s276)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(51016,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s276, s277)) | until2p7(s277) | (~xuntil2p8(s276))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[51015, 51014])).
% 10.00/7.45 tff(51017,plain,
% 10.00/7.45 (until2p7(s277) | (~xuntil2p8(s276))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51016, 5593, 49295])).
% 10.00/7.45 tff(51018,plain,
% 10.00/7.45 (~xuntil2p8(s276)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51017, 51013])).
% 10.00/7.45 tff(51019,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(51020,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s276) | xuntil2p8(s276) | (~until2p7(s276)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(51021,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s276) | xuntil2p8(s276) | (~until2p7(s276))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[51020, 51019])).
% 10.00/7.45 tff(51022,plain,
% 10.00/7.45 (xuntil2p8(s276) | (~until2p7(s276))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51021, 49280, 47035])).
% 10.00/7.45 tff(51023,plain,
% 10.00/7.45 (~until2p7(s276)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51022, 51018])).
% 10.00/7.45 tff(51024,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(51025,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s275, s276)) | until2p7(s276) | (~xuntil2p8(s275)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(51026,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s275, s276)) | until2p7(s276) | (~xuntil2p8(s275))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[51025, 51024])).
% 10.00/7.45 tff(51027,plain,
% 10.00/7.45 (until2p7(s276) | (~xuntil2p8(s275))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51026, 5605, 49295])).
% 10.00/7.45 tff(51028,plain,
% 10.00/7.45 (~xuntil2p8(s275)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51027, 51023])).
% 10.00/7.45 tff(51029,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(51030,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s275) | xuntil2p8(s275) | (~until2p7(s275)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(51031,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s275) | xuntil2p8(s275) | (~until2p7(s275))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[51030, 51029])).
% 10.00/7.45 tff(51032,plain,
% 10.00/7.45 (xuntil2p8(s275) | (~until2p7(s275))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51031, 49280, 47031])).
% 10.00/7.45 tff(51033,plain,
% 10.00/7.45 (~until2p7(s275)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51032, 51028])).
% 10.00/7.45 tff(51034,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(51035,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s274, s275)) | until2p7(s275) | (~xuntil2p8(s274)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(51036,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s274, s275)) | until2p7(s275) | (~xuntil2p8(s274))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[51035, 51034])).
% 10.00/7.45 tff(51037,plain,
% 10.00/7.45 (until2p7(s275) | (~xuntil2p8(s274))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51036, 5617, 49295])).
% 10.00/7.45 tff(51038,plain,
% 10.00/7.45 (~xuntil2p8(s274)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51037, 51033])).
% 10.00/7.45 tff(51039,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(51040,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s274) | xuntil2p8(s274) | (~until2p7(s274)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(51041,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s274) | xuntil2p8(s274) | (~until2p7(s274))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[51040, 51039])).
% 10.00/7.45 tff(51042,plain,
% 10.00/7.45 (xuntil2p8(s274) | (~until2p7(s274))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51041, 49280, 47027])).
% 10.00/7.45 tff(51043,plain,
% 10.00/7.45 (~until2p7(s274)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51042, 51038])).
% 10.00/7.45 tff(51044,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(51045,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s273, s274)) | until2p7(s274) | (~xuntil2p8(s273)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(51046,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s273, s274)) | until2p7(s274) | (~xuntil2p8(s273))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[51045, 51044])).
% 10.00/7.45 tff(51047,plain,
% 10.00/7.45 (until2p7(s274) | (~xuntil2p8(s273))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51046, 5629, 49295])).
% 10.00/7.45 tff(51048,plain,
% 10.00/7.45 (~xuntil2p8(s273)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51047, 51043])).
% 10.00/7.45 tff(51049,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(51050,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s273) | xuntil2p8(s273) | (~until2p7(s273)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(51051,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s273) | xuntil2p8(s273) | (~until2p7(s273))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[51050, 51049])).
% 10.00/7.45 tff(51052,plain,
% 10.00/7.45 (xuntil2p8(s273) | (~until2p7(s273))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51051, 49280, 47023])).
% 10.00/7.45 tff(51053,plain,
% 10.00/7.45 (~until2p7(s273)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51052, 51048])).
% 10.00/7.45 tff(51054,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(51055,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s272, s273)) | until2p7(s273) | (~xuntil2p8(s272)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(51056,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s272, s273)) | until2p7(s273) | (~xuntil2p8(s272))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[51055, 51054])).
% 10.00/7.45 tff(51057,plain,
% 10.00/7.45 (until2p7(s273) | (~xuntil2p8(s272))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51056, 5641, 49295])).
% 10.00/7.45 tff(51058,plain,
% 10.00/7.45 (~xuntil2p8(s272)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51057, 51053])).
% 10.00/7.45 tff(51059,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(51060,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s272) | xuntil2p8(s272) | (~until2p7(s272)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(51061,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s272) | xuntil2p8(s272) | (~until2p7(s272))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[51060, 51059])).
% 10.00/7.45 tff(51062,plain,
% 10.00/7.45 (xuntil2p8(s272) | (~until2p7(s272))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51061, 49280, 47019])).
% 10.00/7.45 tff(51063,plain,
% 10.00/7.45 (~until2p7(s272)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51062, 51058])).
% 10.00/7.45 tff(51064,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(51065,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s271, s272)) | until2p7(s272) | (~xuntil2p8(s271)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(51066,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s271, s272)) | until2p7(s272) | (~xuntil2p8(s271))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[51065, 51064])).
% 10.00/7.45 tff(51067,plain,
% 10.00/7.45 (until2p7(s272) | (~xuntil2p8(s271))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51066, 5653, 49295])).
% 10.00/7.45 tff(51068,plain,
% 10.00/7.45 (~xuntil2p8(s271)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51067, 51063])).
% 10.00/7.45 tff(51069,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(51070,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s271) | xuntil2p8(s271) | (~until2p7(s271)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(51071,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s271) | xuntil2p8(s271) | (~until2p7(s271))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[51070, 51069])).
% 10.00/7.45 tff(51072,plain,
% 10.00/7.45 (xuntil2p8(s271) | (~until2p7(s271))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51071, 49280, 47015])).
% 10.00/7.45 tff(51073,plain,
% 10.00/7.45 (~until2p7(s271)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51072, 51068])).
% 10.00/7.45 tff(51074,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(51075,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s270, s271)) | until2p7(s271) | (~xuntil2p8(s270)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(51076,plain,
% 10.00/7.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s270, s271)) | until2p7(s271) | (~xuntil2p8(s270))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[51075, 51074])).
% 10.00/7.45 tff(51077,plain,
% 10.00/7.45 (until2p7(s271) | (~xuntil2p8(s270))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51076, 5665, 49295])).
% 10.00/7.45 tff(51078,plain,
% 10.00/7.45 (~xuntil2p8(s270)),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51077, 51073])).
% 10.00/7.45 tff(51079,plain,
% 10.00/7.45 (((~![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)))),
% 10.00/7.45 inference(rewrite,[status(thm)],[])).
% 10.00/7.45 tff(51080,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s270) | xuntil2p8(s270) | (~until2p7(s270)))),
% 10.00/7.45 inference(quant_inst,[status(thm)],[])).
% 10.00/7.45 tff(51081,plain,
% 10.00/7.45 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s270) | xuntil2p8(s270) | (~until2p7(s270))),
% 10.00/7.45 inference(modus_ponens,[status(thm)],[51080, 51079])).
% 10.00/7.45 tff(51082,plain,
% 10.00/7.45 (xuntil2p8(s270) | (~until2p7(s270))),
% 10.00/7.45 inference(unit_resolution,[status(thm)],[51081, 49280, 47011])).
% 10.00/7.45 tff(51083,plain,
% 10.00/7.46 (~until2p7(s270)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51082, 51078])).
% 10.00/7.46 tff(51084,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51085,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s269, s270)) | until2p7(s270) | (~xuntil2p8(s269)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51086,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s269, s270)) | until2p7(s270) | (~xuntil2p8(s269))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51085, 51084])).
% 10.00/7.46 tff(51087,plain,
% 10.00/7.46 (until2p7(s270) | (~xuntil2p8(s269))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51086, 5677, 49295])).
% 10.00/7.46 tff(51088,plain,
% 10.00/7.46 (~xuntil2p8(s269)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51087, 51083])).
% 10.00/7.46 tff(51089,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51090,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s269) | xuntil2p8(s269) | (~until2p7(s269)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51091,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s269) | xuntil2p8(s269) | (~until2p7(s269))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51090, 51089])).
% 10.00/7.46 tff(51092,plain,
% 10.00/7.46 (xuntil2p8(s269) | (~until2p7(s269))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51091, 49280, 47007])).
% 10.00/7.46 tff(51093,plain,
% 10.00/7.46 (~until2p7(s269)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51092, 51088])).
% 10.00/7.46 tff(51094,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51095,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s268, s269)) | until2p7(s269) | (~xuntil2p8(s268)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51096,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s268, s269)) | until2p7(s269) | (~xuntil2p8(s268))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51095, 51094])).
% 10.00/7.46 tff(51097,plain,
% 10.00/7.46 (until2p7(s269) | (~xuntil2p8(s268))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51096, 5689, 49295])).
% 10.00/7.46 tff(51098,plain,
% 10.00/7.46 (~xuntil2p8(s268)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51097, 51093])).
% 10.00/7.46 tff(51099,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51100,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s268) | xuntil2p8(s268) | (~until2p7(s268)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51101,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s268) | xuntil2p8(s268) | (~until2p7(s268))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51100, 51099])).
% 10.00/7.46 tff(51102,plain,
% 10.00/7.46 (xuntil2p8(s268) | (~until2p7(s268))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51101, 49280, 47003])).
% 10.00/7.46 tff(51103,plain,
% 10.00/7.46 (~until2p7(s268)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51102, 51098])).
% 10.00/7.46 tff(51104,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51105,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s267, s268)) | until2p7(s268) | (~xuntil2p8(s267)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51106,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s267, s268)) | until2p7(s268) | (~xuntil2p8(s267))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51105, 51104])).
% 10.00/7.46 tff(51107,plain,
% 10.00/7.46 (until2p7(s268) | (~xuntil2p8(s267))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51106, 5701, 49295])).
% 10.00/7.46 tff(51108,plain,
% 10.00/7.46 (~xuntil2p8(s267)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51107, 51103])).
% 10.00/7.46 tff(51109,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51110,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s267) | xuntil2p8(s267) | (~until2p7(s267)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51111,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s267) | xuntil2p8(s267) | (~until2p7(s267))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51110, 51109])).
% 10.00/7.46 tff(51112,plain,
% 10.00/7.46 (xuntil2p8(s267) | (~until2p7(s267))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51111, 49280, 46999])).
% 10.00/7.46 tff(51113,plain,
% 10.00/7.46 (~until2p7(s267)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51112, 51108])).
% 10.00/7.46 tff(51114,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51115,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s266, s267)) | until2p7(s267) | (~xuntil2p8(s266)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51116,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s266, s267)) | until2p7(s267) | (~xuntil2p8(s266))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51115, 51114])).
% 10.00/7.46 tff(51117,plain,
% 10.00/7.46 (until2p7(s267) | (~xuntil2p8(s266))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51116, 5713, 49295])).
% 10.00/7.46 tff(51118,plain,
% 10.00/7.46 (~xuntil2p8(s266)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51117, 51113])).
% 10.00/7.46 tff(51119,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51120,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s266) | xuntil2p8(s266) | (~until2p7(s266)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51121,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s266) | xuntil2p8(s266) | (~until2p7(s266))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51120, 51119])).
% 10.00/7.46 tff(51122,plain,
% 10.00/7.46 (xuntil2p8(s266) | (~until2p7(s266))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51121, 49280, 46995])).
% 10.00/7.46 tff(51123,plain,
% 10.00/7.46 (~until2p7(s266)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51122, 51118])).
% 10.00/7.46 tff(51124,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51125,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s265, s266)) | until2p7(s266) | (~xuntil2p8(s265)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51126,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s265, s266)) | until2p7(s266) | (~xuntil2p8(s265))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51125, 51124])).
% 10.00/7.46 tff(51127,plain,
% 10.00/7.46 (until2p7(s266) | (~xuntil2p8(s265))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51126, 5725, 49295])).
% 10.00/7.46 tff(51128,plain,
% 10.00/7.46 (~xuntil2p8(s265)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51127, 51123])).
% 10.00/7.46 tff(51129,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51130,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s265) | xuntil2p8(s265) | (~until2p7(s265)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51131,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s265) | xuntil2p8(s265) | (~until2p7(s265))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51130, 51129])).
% 10.00/7.46 tff(51132,plain,
% 10.00/7.46 (xuntil2p8(s265) | (~until2p7(s265))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51131, 49280, 46991])).
% 10.00/7.46 tff(51133,plain,
% 10.00/7.46 (~until2p7(s265)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51132, 51128])).
% 10.00/7.46 tff(51134,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51135,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s264, s265)) | until2p7(s265) | (~xuntil2p8(s264)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51136,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s264, s265)) | until2p7(s265) | (~xuntil2p8(s264))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51135, 51134])).
% 10.00/7.46 tff(51137,plain,
% 10.00/7.46 (until2p7(s265) | (~xuntil2p8(s264))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51136, 5737, 49295])).
% 10.00/7.46 tff(51138,plain,
% 10.00/7.46 (~xuntil2p8(s264)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51137, 51133])).
% 10.00/7.46 tff(51139,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51140,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s264) | xuntil2p8(s264) | (~until2p7(s264)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51141,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s264) | xuntil2p8(s264) | (~until2p7(s264))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51140, 51139])).
% 10.00/7.46 tff(51142,plain,
% 10.00/7.46 (xuntil2p8(s264) | (~until2p7(s264))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51141, 49280, 46987])).
% 10.00/7.46 tff(51143,plain,
% 10.00/7.46 (~until2p7(s264)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51142, 51138])).
% 10.00/7.46 tff(51144,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51145,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s263, s264)) | until2p7(s264) | (~xuntil2p8(s263)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51146,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s263, s264)) | until2p7(s264) | (~xuntil2p8(s263))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51145, 51144])).
% 10.00/7.46 tff(51147,plain,
% 10.00/7.46 (until2p7(s264) | (~xuntil2p8(s263))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51146, 5749, 49295])).
% 10.00/7.46 tff(51148,plain,
% 10.00/7.46 (~xuntil2p8(s263)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51147, 51143])).
% 10.00/7.46 tff(51149,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51150,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s263) | xuntil2p8(s263) | (~until2p7(s263)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51151,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s263) | xuntil2p8(s263) | (~until2p7(s263))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51150, 51149])).
% 10.00/7.46 tff(51152,plain,
% 10.00/7.46 (xuntil2p8(s263) | (~until2p7(s263))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51151, 49280, 46983])).
% 10.00/7.46 tff(51153,plain,
% 10.00/7.46 (~until2p7(s263)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51152, 51148])).
% 10.00/7.46 tff(51154,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51155,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s262, s263)) | until2p7(s263) | (~xuntil2p8(s262)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51156,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s262, s263)) | until2p7(s263) | (~xuntil2p8(s262))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51155, 51154])).
% 10.00/7.46 tff(51157,plain,
% 10.00/7.46 (until2p7(s263) | (~xuntil2p8(s262))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51156, 5761, 49295])).
% 10.00/7.46 tff(51158,plain,
% 10.00/7.46 (~xuntil2p8(s262)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51157, 51153])).
% 10.00/7.46 tff(51159,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51160,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s262) | xuntil2p8(s262) | (~until2p7(s262)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51161,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s262) | xuntil2p8(s262) | (~until2p7(s262))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51160, 51159])).
% 10.00/7.46 tff(51162,plain,
% 10.00/7.46 (xuntil2p8(s262) | (~until2p7(s262))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51161, 49280, 46979])).
% 10.00/7.46 tff(51163,plain,
% 10.00/7.46 (~until2p7(s262)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51162, 51158])).
% 10.00/7.46 tff(51164,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51165,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s261, s262)) | until2p7(s262) | (~xuntil2p8(s261)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51166,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s261, s262)) | until2p7(s262) | (~xuntil2p8(s261))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51165, 51164])).
% 10.00/7.46 tff(51167,plain,
% 10.00/7.46 (until2p7(s262) | (~xuntil2p8(s261))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51166, 5773, 49295])).
% 10.00/7.46 tff(51168,plain,
% 10.00/7.46 (~xuntil2p8(s261)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51167, 51163])).
% 10.00/7.46 tff(51169,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51170,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s261) | xuntil2p8(s261) | (~until2p7(s261)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51171,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s261) | xuntil2p8(s261) | (~until2p7(s261))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51170, 51169])).
% 10.00/7.46 tff(51172,plain,
% 10.00/7.46 (xuntil2p8(s261) | (~until2p7(s261))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51171, 49280, 46975])).
% 10.00/7.46 tff(51173,plain,
% 10.00/7.46 (~until2p7(s261)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51172, 51168])).
% 10.00/7.46 tff(51174,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51175,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s260, s261)) | until2p7(s261) | (~xuntil2p8(s260)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51176,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s260, s261)) | until2p7(s261) | (~xuntil2p8(s260))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51175, 51174])).
% 10.00/7.46 tff(51177,plain,
% 10.00/7.46 (until2p7(s261) | (~xuntil2p8(s260))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51176, 5785, 49295])).
% 10.00/7.46 tff(51178,plain,
% 10.00/7.46 (~xuntil2p8(s260)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51177, 51173])).
% 10.00/7.46 tff(51179,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51180,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s260) | xuntil2p8(s260) | (~until2p7(s260)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51181,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s260) | xuntil2p8(s260) | (~until2p7(s260))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51180, 51179])).
% 10.00/7.46 tff(51182,plain,
% 10.00/7.46 (xuntil2p8(s260) | (~until2p7(s260))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51181, 49280, 46971])).
% 10.00/7.46 tff(51183,plain,
% 10.00/7.46 (~until2p7(s260)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51182, 51178])).
% 10.00/7.46 tff(51184,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51185,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s259, s260)) | until2p7(s260) | (~xuntil2p8(s259)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51186,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s259, s260)) | until2p7(s260) | (~xuntil2p8(s259))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51185, 51184])).
% 10.00/7.46 tff(51187,plain,
% 10.00/7.46 (until2p7(s260) | (~xuntil2p8(s259))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51186, 5797, 49295])).
% 10.00/7.46 tff(51188,plain,
% 10.00/7.46 (~xuntil2p8(s259)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51187, 51183])).
% 10.00/7.46 tff(51189,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51190,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s259) | xuntil2p8(s259) | (~until2p7(s259)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51191,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s259) | xuntil2p8(s259) | (~until2p7(s259))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51190, 51189])).
% 10.00/7.46 tff(51192,plain,
% 10.00/7.46 (xuntil2p8(s259) | (~until2p7(s259))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51191, 49280, 46967])).
% 10.00/7.46 tff(51193,plain,
% 10.00/7.46 (~until2p7(s259)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51192, 51188])).
% 10.00/7.46 tff(51194,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51195,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s258, s259)) | until2p7(s259) | (~xuntil2p8(s258)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51196,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s258, s259)) | until2p7(s259) | (~xuntil2p8(s258))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51195, 51194])).
% 10.00/7.46 tff(51197,plain,
% 10.00/7.46 (until2p7(s259) | (~xuntil2p8(s258))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51196, 5809, 49295])).
% 10.00/7.46 tff(51198,plain,
% 10.00/7.46 (~xuntil2p8(s258)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51197, 51193])).
% 10.00/7.46 tff(51199,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51200,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s258) | xuntil2p8(s258) | (~until2p7(s258)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51201,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s258) | xuntil2p8(s258) | (~until2p7(s258))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51200, 51199])).
% 10.00/7.46 tff(51202,plain,
% 10.00/7.46 (xuntil2p8(s258) | (~until2p7(s258))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51201, 49280, 46963])).
% 10.00/7.46 tff(51203,plain,
% 10.00/7.46 (~until2p7(s258)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51202, 51198])).
% 10.00/7.46 tff(51204,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51205,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s257, s258)) | until2p7(s258) | (~xuntil2p8(s257)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51206,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s257, s258)) | until2p7(s258) | (~xuntil2p8(s257))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51205, 51204])).
% 10.00/7.46 tff(51207,plain,
% 10.00/7.46 (until2p7(s258) | (~xuntil2p8(s257))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51206, 5821, 49295])).
% 10.00/7.46 tff(51208,plain,
% 10.00/7.46 (~xuntil2p8(s257)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51207, 51203])).
% 10.00/7.46 tff(51209,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51210,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s257) | xuntil2p8(s257) | (~until2p7(s257)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51211,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s257) | xuntil2p8(s257) | (~until2p7(s257))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51210, 51209])).
% 10.00/7.46 tff(51212,plain,
% 10.00/7.46 (xuntil2p8(s257) | (~until2p7(s257))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51211, 49280, 46959])).
% 10.00/7.46 tff(51213,plain,
% 10.00/7.46 (~until2p7(s257)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51212, 51208])).
% 10.00/7.46 tff(51214,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51215,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s256, s257)) | until2p7(s257) | (~xuntil2p8(s256)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51216,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s256, s257)) | until2p7(s257) | (~xuntil2p8(s256))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51215, 51214])).
% 10.00/7.46 tff(51217,plain,
% 10.00/7.46 (until2p7(s257) | (~xuntil2p8(s256))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51216, 5833, 49295])).
% 10.00/7.46 tff(51218,plain,
% 10.00/7.46 (~xuntil2p8(s256)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51217, 51213])).
% 10.00/7.46 tff(51219,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51220,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s256) | xuntil2p8(s256) | (~until2p7(s256)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51221,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s256) | xuntil2p8(s256) | (~until2p7(s256))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51220, 51219])).
% 10.00/7.46 tff(51222,plain,
% 10.00/7.46 (xuntil2p8(s256) | (~until2p7(s256))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51221, 49280, 46955])).
% 10.00/7.46 tff(51223,plain,
% 10.00/7.46 (~until2p7(s256)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51222, 51218])).
% 10.00/7.46 tff(51224,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51225,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s255, s256)) | until2p7(s256) | (~xuntil2p8(s255)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51226,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s255, s256)) | until2p7(s256) | (~xuntil2p8(s255))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51225, 51224])).
% 10.00/7.46 tff(51227,plain,
% 10.00/7.46 (until2p7(s256) | (~xuntil2p8(s255))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51226, 5845, 49295])).
% 10.00/7.46 tff(51228,plain,
% 10.00/7.46 (~xuntil2p8(s255)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51227, 51223])).
% 10.00/7.46 tff(51229,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51230,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s255) | xuntil2p8(s255) | (~until2p7(s255)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51231,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s255) | xuntil2p8(s255) | (~until2p7(s255))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51230, 51229])).
% 10.00/7.46 tff(51232,plain,
% 10.00/7.46 (xuntil2p8(s255) | (~until2p7(s255))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51231, 49280, 46951])).
% 10.00/7.46 tff(51233,plain,
% 10.00/7.46 (~until2p7(s255)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51232, 51228])).
% 10.00/7.46 tff(51234,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51235,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s254, s255)) | until2p7(s255) | (~xuntil2p8(s254)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51236,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s254, s255)) | until2p7(s255) | (~xuntil2p8(s254))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51235, 51234])).
% 10.00/7.46 tff(51237,plain,
% 10.00/7.46 (until2p7(s255) | (~xuntil2p8(s254))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51236, 5857, 49295])).
% 10.00/7.46 tff(51238,plain,
% 10.00/7.46 (~xuntil2p8(s254)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51237, 51233])).
% 10.00/7.46 tff(51239,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51240,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s254) | xuntil2p8(s254) | (~until2p7(s254)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51241,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s254) | xuntil2p8(s254) | (~until2p7(s254))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51240, 51239])).
% 10.00/7.46 tff(51242,plain,
% 10.00/7.46 (xuntil2p8(s254) | (~until2p7(s254))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51241, 49280, 46947])).
% 10.00/7.46 tff(51243,plain,
% 10.00/7.46 (~until2p7(s254)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51242, 51238])).
% 10.00/7.46 tff(51244,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51245,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s253, s254)) | until2p7(s254) | (~xuntil2p8(s253)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51246,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s253, s254)) | until2p7(s254) | (~xuntil2p8(s253))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51245, 51244])).
% 10.00/7.46 tff(51247,plain,
% 10.00/7.46 (until2p7(s254) | (~xuntil2p8(s253))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51246, 5084, 49295])).
% 10.00/7.46 tff(51248,plain,
% 10.00/7.46 (~xuntil2p8(s253)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51247, 51243])).
% 10.00/7.46 tff(51249,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51250,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s253) | xuntil2p8(s253) | (~until2p7(s253)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51251,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s253) | xuntil2p8(s253) | (~until2p7(s253))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51250, 51249])).
% 10.00/7.46 tff(51252,plain,
% 10.00/7.46 (xuntil2p8(s253) | (~until2p7(s253))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51251, 49280, 46943])).
% 10.00/7.46 tff(51253,plain,
% 10.00/7.46 (~until2p7(s253)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51252, 51248])).
% 10.00/7.46 tff(51254,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51255,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s252, s253)) | until2p7(s253) | (~xuntil2p8(s252)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51256,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s252, s253)) | until2p7(s253) | (~xuntil2p8(s252))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51255, 51254])).
% 10.00/7.46 tff(51257,plain,
% 10.00/7.46 (until2p7(s253) | (~xuntil2p8(s252))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51256, 5870, 49295])).
% 10.00/7.46 tff(51258,plain,
% 10.00/7.46 (~xuntil2p8(s252)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51257, 51253])).
% 10.00/7.46 tff(51259,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51260,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s252) | xuntil2p8(s252) | (~until2p7(s252)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51261,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s252) | xuntil2p8(s252) | (~until2p7(s252))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51260, 51259])).
% 10.00/7.46 tff(51262,plain,
% 10.00/7.46 (xuntil2p8(s252) | (~until2p7(s252))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51261, 49280, 46939])).
% 10.00/7.46 tff(51263,plain,
% 10.00/7.46 (~until2p7(s252)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51262, 51258])).
% 10.00/7.46 tff(51264,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51265,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s251, s252)) | until2p7(s252) | (~xuntil2p8(s251)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51266,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s251, s252)) | until2p7(s252) | (~xuntil2p8(s251))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51265, 51264])).
% 10.00/7.46 tff(51267,plain,
% 10.00/7.46 (until2p7(s252) | (~xuntil2p8(s251))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51266, 5882, 49295])).
% 10.00/7.46 tff(51268,plain,
% 10.00/7.46 (~xuntil2p8(s251)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51267, 51263])).
% 10.00/7.46 tff(51269,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51270,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s251) | xuntil2p8(s251) | (~until2p7(s251)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51271,plain,
% 10.00/7.46 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s251) | xuntil2p8(s251) | (~until2p7(s251))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51270, 51269])).
% 10.00/7.46 tff(51272,plain,
% 10.00/7.46 (xuntil2p8(s251) | (~until2p7(s251))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51271, 49280, 46935])).
% 10.00/7.46 tff(51273,plain,
% 10.00/7.46 (~until2p7(s251)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51272, 51268])).
% 10.00/7.46 tff(51274,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.46 inference(rewrite,[status(thm)],[])).
% 10.00/7.46 tff(51275,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s250, s251)) | until2p7(s251) | (~xuntil2p8(s250)))),
% 10.00/7.46 inference(quant_inst,[status(thm)],[])).
% 10.00/7.46 tff(51276,plain,
% 10.00/7.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s250, s251)) | until2p7(s251) | (~xuntil2p8(s250))),
% 10.00/7.46 inference(modus_ponens,[status(thm)],[51275, 51274])).
% 10.00/7.46 tff(51277,plain,
% 10.00/7.46 (until2p7(s251) | (~xuntil2p8(s250))),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51276, 5894, 49295])).
% 10.00/7.46 tff(51278,plain,
% 10.00/7.46 (~xuntil2p8(s250)),
% 10.00/7.46 inference(unit_resolution,[status(thm)],[51277, 51273])).
% 10.00/7.46 tff(51279,plain,
% 10.00/7.46 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51280,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s250) | xuntil2p8(s250) | (~until2p7(s250)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51281,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s250) | xuntil2p8(s250) | (~until2p7(s250))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51280, 51279])).
% 10.00/7.47 tff(51282,plain,
% 10.00/7.47 (xuntil2p8(s250) | (~until2p7(s250))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51281, 49280, 46931])).
% 10.00/7.47 tff(51283,plain,
% 10.00/7.47 (~until2p7(s250)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51282, 51278])).
% 10.00/7.47 tff(51284,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51285,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s249, s250)) | until2p7(s250) | (~xuntil2p8(s249)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51286,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s249, s250)) | until2p7(s250) | (~xuntil2p8(s249))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51285, 51284])).
% 10.00/7.47 tff(51287,plain,
% 10.00/7.47 (until2p7(s250) | (~xuntil2p8(s249))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51286, 5906, 49295])).
% 10.00/7.47 tff(51288,plain,
% 10.00/7.47 (~xuntil2p8(s249)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51287, 51283])).
% 10.00/7.47 tff(51289,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51290,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s249) | xuntil2p8(s249) | (~until2p7(s249)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51291,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s249) | xuntil2p8(s249) | (~until2p7(s249))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51290, 51289])).
% 10.00/7.47 tff(51292,plain,
% 10.00/7.47 (xuntil2p8(s249) | (~until2p7(s249))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51291, 49280, 46927])).
% 10.00/7.47 tff(51293,plain,
% 10.00/7.47 (~until2p7(s249)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51292, 51288])).
% 10.00/7.47 tff(51294,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51295,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s248, s249)) | until2p7(s249) | (~xuntil2p8(s248)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51296,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s248, s249)) | until2p7(s249) | (~xuntil2p8(s248))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51295, 51294])).
% 10.00/7.47 tff(51297,plain,
% 10.00/7.47 (until2p7(s249) | (~xuntil2p8(s248))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51296, 5918, 49295])).
% 10.00/7.47 tff(51298,plain,
% 10.00/7.47 (~xuntil2p8(s248)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51297, 51293])).
% 10.00/7.47 tff(51299,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51300,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s248) | xuntil2p8(s248) | (~until2p7(s248)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51301,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s248) | xuntil2p8(s248) | (~until2p7(s248))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51300, 51299])).
% 10.00/7.47 tff(51302,plain,
% 10.00/7.47 (xuntil2p8(s248) | (~until2p7(s248))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51301, 49280, 46923])).
% 10.00/7.47 tff(51303,plain,
% 10.00/7.47 (~until2p7(s248)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51302, 51298])).
% 10.00/7.47 tff(51304,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51305,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s247, s248)) | until2p7(s248) | (~xuntil2p8(s247)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51306,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s247, s248)) | until2p7(s248) | (~xuntil2p8(s247))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51305, 51304])).
% 10.00/7.47 tff(51307,plain,
% 10.00/7.47 (until2p7(s248) | (~xuntil2p8(s247))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51306, 5930, 49295])).
% 10.00/7.47 tff(51308,plain,
% 10.00/7.47 (~xuntil2p8(s247)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51307, 51303])).
% 10.00/7.47 tff(51309,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51310,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s247) | xuntil2p8(s247) | (~until2p7(s247)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51311,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s247) | xuntil2p8(s247) | (~until2p7(s247))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51310, 51309])).
% 10.00/7.47 tff(51312,plain,
% 10.00/7.47 (xuntil2p8(s247) | (~until2p7(s247))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51311, 49280, 46919])).
% 10.00/7.47 tff(51313,plain,
% 10.00/7.47 (~until2p7(s247)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51312, 51308])).
% 10.00/7.47 tff(51314,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51315,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s246, s247)) | until2p7(s247) | (~xuntil2p8(s246)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51316,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s246, s247)) | until2p7(s247) | (~xuntil2p8(s246))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51315, 51314])).
% 10.00/7.47 tff(51317,plain,
% 10.00/7.47 (until2p7(s247) | (~xuntil2p8(s246))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51316, 5942, 49295])).
% 10.00/7.47 tff(51318,plain,
% 10.00/7.47 (~xuntil2p8(s246)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51317, 51313])).
% 10.00/7.47 tff(51319,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51320,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s246) | xuntil2p8(s246) | (~until2p7(s246)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51321,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s246) | xuntil2p8(s246) | (~until2p7(s246))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51320, 51319])).
% 10.00/7.47 tff(51322,plain,
% 10.00/7.47 (xuntil2p8(s246) | (~until2p7(s246))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51321, 49280, 46915])).
% 10.00/7.47 tff(51323,plain,
% 10.00/7.47 (~until2p7(s246)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51322, 51318])).
% 10.00/7.47 tff(51324,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51325,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s245, s246)) | until2p7(s246) | (~xuntil2p8(s245)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51326,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s245, s246)) | until2p7(s246) | (~xuntil2p8(s245))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51325, 51324])).
% 10.00/7.47 tff(51327,plain,
% 10.00/7.47 (until2p7(s246) | (~xuntil2p8(s245))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51326, 5954, 49295])).
% 10.00/7.47 tff(51328,plain,
% 10.00/7.47 (~xuntil2p8(s245)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51327, 51323])).
% 10.00/7.47 tff(51329,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51330,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s245) | xuntil2p8(s245) | (~until2p7(s245)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51331,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s245) | xuntil2p8(s245) | (~until2p7(s245))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51330, 51329])).
% 10.00/7.47 tff(51332,plain,
% 10.00/7.47 (xuntil2p8(s245) | (~until2p7(s245))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51331, 49280, 46911])).
% 10.00/7.47 tff(51333,plain,
% 10.00/7.47 (~until2p7(s245)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51332, 51328])).
% 10.00/7.47 tff(51334,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51335,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s244, s245)) | until2p7(s245) | (~xuntil2p8(s244)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51336,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s244, s245)) | until2p7(s245) | (~xuntil2p8(s244))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51335, 51334])).
% 10.00/7.47 tff(51337,plain,
% 10.00/7.47 (until2p7(s245) | (~xuntil2p8(s244))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51336, 5966, 49295])).
% 10.00/7.47 tff(51338,plain,
% 10.00/7.47 (~xuntil2p8(s244)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51337, 51333])).
% 10.00/7.47 tff(51339,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51340,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s244) | xuntil2p8(s244) | (~until2p7(s244)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51341,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s244) | xuntil2p8(s244) | (~until2p7(s244))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51340, 51339])).
% 10.00/7.47 tff(51342,plain,
% 10.00/7.47 (xuntil2p8(s244) | (~until2p7(s244))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51341, 49280, 46907])).
% 10.00/7.47 tff(51343,plain,
% 10.00/7.47 (~until2p7(s244)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51342, 51338])).
% 10.00/7.47 tff(51344,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51345,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s243, s244)) | until2p7(s244) | (~xuntil2p8(s243)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51346,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s243, s244)) | until2p7(s244) | (~xuntil2p8(s243))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51345, 51344])).
% 10.00/7.47 tff(51347,plain,
% 10.00/7.47 (until2p7(s244) | (~xuntil2p8(s243))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51346, 5978, 49295])).
% 10.00/7.47 tff(51348,plain,
% 10.00/7.47 (~xuntil2p8(s243)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51347, 51343])).
% 10.00/7.47 tff(51349,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51350,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s243) | xuntil2p8(s243) | (~until2p7(s243)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51351,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s243) | xuntil2p8(s243) | (~until2p7(s243))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51350, 51349])).
% 10.00/7.47 tff(51352,plain,
% 10.00/7.47 (xuntil2p8(s243) | (~until2p7(s243))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51351, 49280, 46903])).
% 10.00/7.47 tff(51353,plain,
% 10.00/7.47 (~until2p7(s243)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51352, 51348])).
% 10.00/7.47 tff(51354,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51355,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s242, s243)) | until2p7(s243) | (~xuntil2p8(s242)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51356,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s242, s243)) | until2p7(s243) | (~xuntil2p8(s242))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51355, 51354])).
% 10.00/7.47 tff(51357,plain,
% 10.00/7.47 (until2p7(s243) | (~xuntil2p8(s242))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51356, 5990, 49295])).
% 10.00/7.47 tff(51358,plain,
% 10.00/7.47 (~xuntil2p8(s242)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51357, 51353])).
% 10.00/7.47 tff(51359,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51360,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s242) | xuntil2p8(s242) | (~until2p7(s242)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51361,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s242) | xuntil2p8(s242) | (~until2p7(s242))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51360, 51359])).
% 10.00/7.47 tff(51362,plain,
% 10.00/7.47 (xuntil2p8(s242) | (~until2p7(s242))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51361, 49280, 46899])).
% 10.00/7.47 tff(51363,plain,
% 10.00/7.47 (~until2p7(s242)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51362, 51358])).
% 10.00/7.47 tff(51364,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51365,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s241, s242)) | until2p7(s242) | (~xuntil2p8(s241)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51366,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s241, s242)) | until2p7(s242) | (~xuntil2p8(s241))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51365, 51364])).
% 10.00/7.47 tff(51367,plain,
% 10.00/7.47 (until2p7(s242) | (~xuntil2p8(s241))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51366, 6002, 49295])).
% 10.00/7.47 tff(51368,plain,
% 10.00/7.47 (~xuntil2p8(s241)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51367, 51363])).
% 10.00/7.47 tff(51369,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51370,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s241) | xuntil2p8(s241) | (~until2p7(s241)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51371,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s241) | xuntil2p8(s241) | (~until2p7(s241))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51370, 51369])).
% 10.00/7.47 tff(51372,plain,
% 10.00/7.47 (xuntil2p8(s241) | (~until2p7(s241))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51371, 49280, 46895])).
% 10.00/7.47 tff(51373,plain,
% 10.00/7.47 (~until2p7(s241)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51372, 51368])).
% 10.00/7.47 tff(51374,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51375,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s240, s241)) | until2p7(s241) | (~xuntil2p8(s240)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51376,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s240, s241)) | until2p7(s241) | (~xuntil2p8(s240))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51375, 51374])).
% 10.00/7.47 tff(51377,plain,
% 10.00/7.47 (until2p7(s241) | (~xuntil2p8(s240))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51376, 6014, 49295])).
% 10.00/7.47 tff(51378,plain,
% 10.00/7.47 (~xuntil2p8(s240)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51377, 51373])).
% 10.00/7.47 tff(51379,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51380,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s240) | xuntil2p8(s240) | (~until2p7(s240)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51381,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s240) | xuntil2p8(s240) | (~until2p7(s240))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51380, 51379])).
% 10.00/7.47 tff(51382,plain,
% 10.00/7.47 (xuntil2p8(s240) | (~until2p7(s240))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51381, 49280, 46891])).
% 10.00/7.47 tff(51383,plain,
% 10.00/7.47 (~until2p7(s240)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51382, 51378])).
% 10.00/7.47 tff(51384,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51385,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s239, s240)) | until2p7(s240) | (~xuntil2p8(s239)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51386,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s239, s240)) | until2p7(s240) | (~xuntil2p8(s239))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51385, 51384])).
% 10.00/7.47 tff(51387,plain,
% 10.00/7.47 (until2p7(s240) | (~xuntil2p8(s239))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51386, 6026, 49295])).
% 10.00/7.47 tff(51388,plain,
% 10.00/7.47 (~xuntil2p8(s239)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51387, 51383])).
% 10.00/7.47 tff(51389,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51390,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s239) | xuntil2p8(s239) | (~until2p7(s239)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51391,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s239) | xuntil2p8(s239) | (~until2p7(s239))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51390, 51389])).
% 10.00/7.47 tff(51392,plain,
% 10.00/7.47 (xuntil2p8(s239) | (~until2p7(s239))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51391, 49280, 46887])).
% 10.00/7.47 tff(51393,plain,
% 10.00/7.47 (~until2p7(s239)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51392, 51388])).
% 10.00/7.47 tff(51394,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51395,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s238, s239)) | until2p7(s239) | (~xuntil2p8(s238)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51396,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s238, s239)) | until2p7(s239) | (~xuntil2p8(s238))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51395, 51394])).
% 10.00/7.47 tff(51397,plain,
% 10.00/7.47 (until2p7(s239) | (~xuntil2p8(s238))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51396, 6038, 49295])).
% 10.00/7.47 tff(51398,plain,
% 10.00/7.47 (~xuntil2p8(s238)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51397, 51393])).
% 10.00/7.47 tff(51399,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51400,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s238) | xuntil2p8(s238) | (~until2p7(s238)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51401,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s238) | xuntil2p8(s238) | (~until2p7(s238))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51400, 51399])).
% 10.00/7.47 tff(51402,plain,
% 10.00/7.47 (xuntil2p8(s238) | (~until2p7(s238))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51401, 49280, 46883])).
% 10.00/7.47 tff(51403,plain,
% 10.00/7.47 (~until2p7(s238)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51402, 51398])).
% 10.00/7.47 tff(51404,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51405,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s237, s238)) | until2p7(s238) | (~xuntil2p8(s237)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51406,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s237, s238)) | until2p7(s238) | (~xuntil2p8(s237))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51405, 51404])).
% 10.00/7.47 tff(51407,plain,
% 10.00/7.47 (until2p7(s238) | (~xuntil2p8(s237))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51406, 6050, 49295])).
% 10.00/7.47 tff(51408,plain,
% 10.00/7.47 (~xuntil2p8(s237)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51407, 51403])).
% 10.00/7.47 tff(51409,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51410,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s237) | xuntil2p8(s237) | (~until2p7(s237)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51411,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s237) | xuntil2p8(s237) | (~until2p7(s237))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51410, 51409])).
% 10.00/7.47 tff(51412,plain,
% 10.00/7.47 (xuntil2p8(s237) | (~until2p7(s237))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51411, 49280, 46879])).
% 10.00/7.47 tff(51413,plain,
% 10.00/7.47 (~until2p7(s237)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51412, 51408])).
% 10.00/7.47 tff(51414,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51415,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s236, s237)) | until2p7(s237) | (~xuntil2p8(s236)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51416,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s236, s237)) | until2p7(s237) | (~xuntil2p8(s236))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51415, 51414])).
% 10.00/7.47 tff(51417,plain,
% 10.00/7.47 (until2p7(s237) | (~xuntil2p8(s236))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51416, 6062, 49295])).
% 10.00/7.47 tff(51418,plain,
% 10.00/7.47 (~xuntil2p8(s236)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51417, 51413])).
% 10.00/7.47 tff(51419,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51420,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s236) | xuntil2p8(s236) | (~until2p7(s236)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51421,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s236) | xuntil2p8(s236) | (~until2p7(s236))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51420, 51419])).
% 10.00/7.47 tff(51422,plain,
% 10.00/7.47 (xuntil2p8(s236) | (~until2p7(s236))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51421, 49280, 46875])).
% 10.00/7.47 tff(51423,plain,
% 10.00/7.47 (~until2p7(s236)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51422, 51418])).
% 10.00/7.47 tff(51424,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51425,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s235, s236)) | until2p7(s236) | (~xuntil2p8(s235)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51426,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s235, s236)) | until2p7(s236) | (~xuntil2p8(s235))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51425, 51424])).
% 10.00/7.47 tff(51427,plain,
% 10.00/7.47 (until2p7(s236) | (~xuntil2p8(s235))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51426, 6074, 49295])).
% 10.00/7.47 tff(51428,plain,
% 10.00/7.47 (~xuntil2p8(s235)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51427, 51423])).
% 10.00/7.47 tff(51429,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51430,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s235) | xuntil2p8(s235) | (~until2p7(s235)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51431,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s235) | xuntil2p8(s235) | (~until2p7(s235))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51430, 51429])).
% 10.00/7.47 tff(51432,plain,
% 10.00/7.47 (xuntil2p8(s235) | (~until2p7(s235))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51431, 49280, 46871])).
% 10.00/7.47 tff(51433,plain,
% 10.00/7.47 (~until2p7(s235)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51432, 51428])).
% 10.00/7.47 tff(51434,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51435,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s234, s235)) | until2p7(s235) | (~xuntil2p8(s234)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51436,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s234, s235)) | until2p7(s235) | (~xuntil2p8(s234))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51435, 51434])).
% 10.00/7.47 tff(51437,plain,
% 10.00/7.47 (until2p7(s235) | (~xuntil2p8(s234))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51436, 6086, 49295])).
% 10.00/7.47 tff(51438,plain,
% 10.00/7.47 (~xuntil2p8(s234)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51437, 51433])).
% 10.00/7.47 tff(51439,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51440,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s234) | xuntil2p8(s234) | (~until2p7(s234)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51441,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s234) | xuntil2p8(s234) | (~until2p7(s234))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51440, 51439])).
% 10.00/7.47 tff(51442,plain,
% 10.00/7.47 (xuntil2p8(s234) | (~until2p7(s234))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51441, 49280, 46867])).
% 10.00/7.47 tff(51443,plain,
% 10.00/7.47 (~until2p7(s234)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51442, 51438])).
% 10.00/7.47 tff(51444,plain,
% 10.00/7.47 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y)) <=> ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y)))),
% 10.00/7.47 inference(bind,[status(th)],[])).
% 10.00/7.47 tff(51445,plain,
% 10.00/7.47 (![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))),
% 10.00/7.47 inference(quant_intro,[status(thm)],[51444])).
% 10.00/7.47 tff(51446,plain,
% 10.00/7.47 (![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))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51447,plain,
% 10.00/7.47 (^[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))))),
% 10.00/7.47 inference(bind,[status(th)],[])).
% 10.00/7.47 tff(51448,plain,
% 10.00/7.47 (![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))),
% 10.00/7.47 inference(quant_intro,[status(thm)],[51447])).
% 10.00/7.47 tff(51449,axiom,(![Y: $i, X: $i] : (((until2p7(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil6(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty9')).
% 10.00/7.47 tff(51450,plain,
% 10.00/7.47 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51449, 51448])).
% 10.00/7.47 tff(51451,plain,
% 10.00/7.47 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51450, 51446])).
% 10.00/7.47 tff(51452,plain,(
% 10.00/7.47 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 10.00/7.47 inference(skolemize,[status(sab)],[51451])).
% 10.00/7.47 tff(51453,plain,
% 10.00/7.47 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51452, 51445])).
% 10.00/7.47 tff(51454,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51455,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s233, s234)) | until2p7(s234) | (~xuntil2p8(s233)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51456,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s233, s234)) | until2p7(s234) | (~xuntil2p8(s233))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51455, 51454])).
% 10.00/7.47 tff(51457,plain,
% 10.00/7.47 (until2p7(s234) | (~xuntil2p8(s233))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51456, 6098, 49295])).
% 10.00/7.47 tff(51458,plain,
% 10.00/7.47 (~xuntil2p8(s233)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51457, 51443])).
% 10.00/7.47 tff(51459,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51460,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s233) | xuntil2p8(s233) | (~until2p7(s233)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51461,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s233) | xuntil2p8(s233) | (~until2p7(s233))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51460, 51459])).
% 10.00/7.47 tff(51462,plain,
% 10.00/7.47 (xuntil2p8(s233) | (~until2p7(s233))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51461, 49280, 46863])).
% 10.00/7.47 tff(51463,plain,
% 10.00/7.47 (~until2p7(s233)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51462, 51458])).
% 10.00/7.47 tff(51464,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51465,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s232, s233)) | until2p7(s233) | (~xuntil2p8(s232)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51466,plain,
% 10.00/7.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s232, s233)) | until2p7(s233) | (~xuntil2p8(s232))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51465, 51464])).
% 10.00/7.47 tff(51467,plain,
% 10.00/7.47 (until2p7(s233) | (~xuntil2p8(s232))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51466, 6110, 49295])).
% 10.00/7.47 tff(51468,plain,
% 10.00/7.47 (~xuntil2p8(s232)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51467, 51463])).
% 10.00/7.47 tff(51469,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.47 inference(rewrite,[status(thm)],[])).
% 10.00/7.47 tff(51470,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s232) | xuntil2p8(s232) | (~until2p7(s232)))),
% 10.00/7.47 inference(quant_inst,[status(thm)],[])).
% 10.00/7.47 tff(51471,plain,
% 10.00/7.47 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s232) | xuntil2p8(s232) | (~until2p7(s232))),
% 10.00/7.47 inference(modus_ponens,[status(thm)],[51470, 51469])).
% 10.00/7.47 tff(51472,plain,
% 10.00/7.47 (xuntil2p8(s232) | (~until2p7(s232))),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51471, 49280, 46859])).
% 10.00/7.47 tff(51473,plain,
% 10.00/7.47 (~until2p7(s232)),
% 10.00/7.47 inference(unit_resolution,[status(thm)],[51472, 51468])).
% 10.00/7.47 tff(51474,plain,
% 10.00/7.47 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51475,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s231, s232)) | until2p7(s232) | (~xuntil2p8(s231)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51476,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s231, s232)) | until2p7(s232) | (~xuntil2p8(s231))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51475, 51474])).
% 10.00/7.48 tff(51477,plain,
% 10.00/7.48 (until2p7(s232) | (~xuntil2p8(s231))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51476, 6122, 49295])).
% 10.00/7.48 tff(51478,plain,
% 10.00/7.48 (~xuntil2p8(s231)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51477, 51473])).
% 10.00/7.48 tff(51479,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51480,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s231) | xuntil2p8(s231) | (~until2p7(s231)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51481,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s231) | xuntil2p8(s231) | (~until2p7(s231))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51480, 51479])).
% 10.00/7.48 tff(51482,plain,
% 10.00/7.48 (xuntil2p8(s231) | (~until2p7(s231))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51481, 49280, 46855])).
% 10.00/7.48 tff(51483,plain,
% 10.00/7.48 (~until2p7(s231)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51482, 51478])).
% 10.00/7.48 tff(51484,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51485,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s230, s231)) | until2p7(s231) | (~xuntil2p8(s230)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51486,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s230, s231)) | until2p7(s231) | (~xuntil2p8(s230))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51485, 51484])).
% 10.00/7.48 tff(51487,plain,
% 10.00/7.48 (until2p7(s231) | (~xuntil2p8(s230))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51486, 6134, 49295])).
% 10.00/7.48 tff(51488,plain,
% 10.00/7.48 (~xuntil2p8(s230)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51487, 51483])).
% 10.00/7.48 tff(51489,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51490,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s230) | xuntil2p8(s230) | (~until2p7(s230)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51491,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s230) | xuntil2p8(s230) | (~until2p7(s230))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51490, 51489])).
% 10.00/7.48 tff(51492,plain,
% 10.00/7.48 (xuntil2p8(s230) | (~until2p7(s230))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51491, 49280, 46851])).
% 10.00/7.48 tff(51493,plain,
% 10.00/7.48 (~until2p7(s230)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51492, 51488])).
% 10.00/7.48 tff(51494,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51495,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s229, s230)) | until2p7(s230) | (~xuntil2p8(s229)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51496,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s229, s230)) | until2p7(s230) | (~xuntil2p8(s229))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51495, 51494])).
% 10.00/7.48 tff(51497,plain,
% 10.00/7.48 (until2p7(s230) | (~xuntil2p8(s229))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51496, 6146, 49295])).
% 10.00/7.48 tff(51498,plain,
% 10.00/7.48 (~xuntil2p8(s229)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51497, 51493])).
% 10.00/7.48 tff(51499,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51500,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s229) | xuntil2p8(s229) | (~until2p7(s229)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51501,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s229) | xuntil2p8(s229) | (~until2p7(s229))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51500, 51499])).
% 10.00/7.48 tff(51502,plain,
% 10.00/7.48 (xuntil2p8(s229) | (~until2p7(s229))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51501, 49280, 46847])).
% 10.00/7.48 tff(51503,plain,
% 10.00/7.48 (~until2p7(s229)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51502, 51498])).
% 10.00/7.48 tff(51504,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51505,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s228, s229)) | until2p7(s229) | (~xuntil2p8(s228)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51506,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s228, s229)) | until2p7(s229) | (~xuntil2p8(s228))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51505, 51504])).
% 10.00/7.48 tff(51507,plain,
% 10.00/7.48 (until2p7(s229) | (~xuntil2p8(s228))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51506, 6158, 49295])).
% 10.00/7.48 tff(51508,plain,
% 10.00/7.48 (~xuntil2p8(s228)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51507, 51503])).
% 10.00/7.48 tff(51509,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51510,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s228) | xuntil2p8(s228) | (~until2p7(s228)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51511,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s228) | xuntil2p8(s228) | (~until2p7(s228))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51510, 51509])).
% 10.00/7.48 tff(51512,plain,
% 10.00/7.48 (xuntil2p8(s228) | (~until2p7(s228))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51511, 49280, 46843])).
% 10.00/7.48 tff(51513,plain,
% 10.00/7.48 (~until2p7(s228)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51512, 51508])).
% 10.00/7.48 tff(51514,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51515,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s227, s228)) | until2p7(s228) | (~xuntil2p8(s227)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51516,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s227, s228)) | until2p7(s228) | (~xuntil2p8(s227))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51515, 51514])).
% 10.00/7.48 tff(51517,plain,
% 10.00/7.48 (until2p7(s228) | (~xuntil2p8(s227))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51516, 6170, 49295])).
% 10.00/7.48 tff(51518,plain,
% 10.00/7.48 (~xuntil2p8(s227)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51517, 51513])).
% 10.00/7.48 tff(51519,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51520,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s227) | xuntil2p8(s227) | (~until2p7(s227)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51521,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s227) | xuntil2p8(s227) | (~until2p7(s227))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51520, 51519])).
% 10.00/7.48 tff(51522,plain,
% 10.00/7.48 (xuntil2p8(s227) | (~until2p7(s227))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51521, 49280, 46839])).
% 10.00/7.48 tff(51523,plain,
% 10.00/7.48 (~until2p7(s227)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51522, 51518])).
% 10.00/7.48 tff(51524,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51525,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s226, s227)) | until2p7(s227) | (~xuntil2p8(s226)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51526,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s226, s227)) | until2p7(s227) | (~xuntil2p8(s226))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51525, 51524])).
% 10.00/7.48 tff(51527,plain,
% 10.00/7.48 (until2p7(s227) | (~xuntil2p8(s226))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51526, 6182, 49295])).
% 10.00/7.48 tff(51528,plain,
% 10.00/7.48 (~xuntil2p8(s226)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51527, 51523])).
% 10.00/7.48 tff(51529,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51530,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s226) | xuntil2p8(s226) | (~until2p7(s226)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51531,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s226) | xuntil2p8(s226) | (~until2p7(s226))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51530, 51529])).
% 10.00/7.48 tff(51532,plain,
% 10.00/7.48 (xuntil2p8(s226) | (~until2p7(s226))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51531, 49280, 46835])).
% 10.00/7.48 tff(51533,plain,
% 10.00/7.48 (~until2p7(s226)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51532, 51528])).
% 10.00/7.48 tff(51534,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51535,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s225, s226)) | until2p7(s226) | (~xuntil2p8(s225)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51536,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s225, s226)) | until2p7(s226) | (~xuntil2p8(s225))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51535, 51534])).
% 10.00/7.48 tff(51537,plain,
% 10.00/7.48 (until2p7(s226) | (~xuntil2p8(s225))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51536, 6194, 49295])).
% 10.00/7.48 tff(51538,plain,
% 10.00/7.48 (~xuntil2p8(s225)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51537, 51533])).
% 10.00/7.48 tff(51539,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51540,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s225) | xuntil2p8(s225) | (~until2p7(s225)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51541,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s225) | xuntil2p8(s225) | (~until2p7(s225))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51540, 51539])).
% 10.00/7.48 tff(51542,plain,
% 10.00/7.48 (xuntil2p8(s225) | (~until2p7(s225))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51541, 49280, 46831])).
% 10.00/7.48 tff(51543,plain,
% 10.00/7.48 (~until2p7(s225)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51542, 51538])).
% 10.00/7.48 tff(51544,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51545,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s224, s225)) | until2p7(s225) | (~xuntil2p8(s224)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51546,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s224, s225)) | until2p7(s225) | (~xuntil2p8(s224))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51545, 51544])).
% 10.00/7.48 tff(51547,plain,
% 10.00/7.48 (until2p7(s225) | (~xuntil2p8(s224))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51546, 6206, 49295])).
% 10.00/7.48 tff(51548,plain,
% 10.00/7.48 (~xuntil2p8(s224)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51547, 51543])).
% 10.00/7.48 tff(51549,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51550,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s224) | xuntil2p8(s224) | (~until2p7(s224)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51551,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s224) | xuntil2p8(s224) | (~until2p7(s224))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51550, 51549])).
% 10.00/7.48 tff(51552,plain,
% 10.00/7.48 (xuntil2p8(s224) | (~until2p7(s224))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51551, 49280, 46827])).
% 10.00/7.48 tff(51553,plain,
% 10.00/7.48 (~until2p7(s224)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51552, 51548])).
% 10.00/7.48 tff(51554,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51555,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s223, s224)) | until2p7(s224) | (~xuntil2p8(s223)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51556,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s223, s224)) | until2p7(s224) | (~xuntil2p8(s223))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51555, 51554])).
% 10.00/7.48 tff(51557,plain,
% 10.00/7.48 (until2p7(s224) | (~xuntil2p8(s223))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51556, 6218, 49295])).
% 10.00/7.48 tff(51558,plain,
% 10.00/7.48 (~xuntil2p8(s223)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51557, 51553])).
% 10.00/7.48 tff(51559,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51560,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s223) | xuntil2p8(s223) | (~until2p7(s223)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51561,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s223) | xuntil2p8(s223) | (~until2p7(s223))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51560, 51559])).
% 10.00/7.48 tff(51562,plain,
% 10.00/7.48 (xuntil2p8(s223) | (~until2p7(s223))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51561, 49280, 46823])).
% 10.00/7.48 tff(51563,plain,
% 10.00/7.48 (~until2p7(s223)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51562, 51558])).
% 10.00/7.48 tff(51564,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51565,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s222, s223)) | until2p7(s223) | (~xuntil2p8(s222)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51566,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s222, s223)) | until2p7(s223) | (~xuntil2p8(s222))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51565, 51564])).
% 10.00/7.48 tff(51567,plain,
% 10.00/7.48 (until2p7(s223) | (~xuntil2p8(s222))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51566, 6230, 49295])).
% 10.00/7.48 tff(51568,plain,
% 10.00/7.48 (~xuntil2p8(s222)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51567, 51563])).
% 10.00/7.48 tff(51569,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51570,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s222) | xuntil2p8(s222) | (~until2p7(s222)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51571,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s222) | xuntil2p8(s222) | (~until2p7(s222))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51570, 51569])).
% 10.00/7.48 tff(51572,plain,
% 10.00/7.48 (xuntil2p8(s222) | (~until2p7(s222))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51571, 49280, 46819])).
% 10.00/7.48 tff(51573,plain,
% 10.00/7.48 (~until2p7(s222)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51572, 51568])).
% 10.00/7.48 tff(51574,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51575,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s221, s222)) | until2p7(s222) | (~xuntil2p8(s221)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51576,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s221, s222)) | until2p7(s222) | (~xuntil2p8(s221))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51575, 51574])).
% 10.00/7.48 tff(51577,plain,
% 10.00/7.48 (until2p7(s222) | (~xuntil2p8(s221))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51576, 6242, 49295])).
% 10.00/7.48 tff(51578,plain,
% 10.00/7.48 (~xuntil2p8(s221)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51577, 51573])).
% 10.00/7.48 tff(51579,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51580,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s221) | xuntil2p8(s221) | (~until2p7(s221)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51581,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s221) | xuntil2p8(s221) | (~until2p7(s221))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51580, 51579])).
% 10.00/7.48 tff(51582,plain,
% 10.00/7.48 (xuntil2p8(s221) | (~until2p7(s221))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51581, 49280, 46815])).
% 10.00/7.48 tff(51583,plain,
% 10.00/7.48 (~until2p7(s221)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51582, 51578])).
% 10.00/7.48 tff(51584,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51585,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s220, s221)) | until2p7(s221) | (~xuntil2p8(s220)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51586,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s220, s221)) | until2p7(s221) | (~xuntil2p8(s220))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51585, 51584])).
% 10.00/7.48 tff(51587,plain,
% 10.00/7.48 (until2p7(s221) | (~xuntil2p8(s220))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51586, 6254, 49295])).
% 10.00/7.48 tff(51588,plain,
% 10.00/7.48 (~xuntil2p8(s220)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51587, 51583])).
% 10.00/7.48 tff(51589,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51590,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s220) | xuntil2p8(s220) | (~until2p7(s220)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51591,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s220) | xuntil2p8(s220) | (~until2p7(s220))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51590, 51589])).
% 10.00/7.48 tff(51592,plain,
% 10.00/7.48 (xuntil2p8(s220) | (~until2p7(s220))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51591, 49280, 46811])).
% 10.00/7.48 tff(51593,plain,
% 10.00/7.48 (~until2p7(s220)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51592, 51588])).
% 10.00/7.48 tff(51594,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51595,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s219, s220)) | until2p7(s220) | (~xuntil2p8(s219)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51596,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s219, s220)) | until2p7(s220) | (~xuntil2p8(s219))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51595, 51594])).
% 10.00/7.48 tff(51597,plain,
% 10.00/7.48 (until2p7(s220) | (~xuntil2p8(s219))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51596, 6266, 49295])).
% 10.00/7.48 tff(51598,plain,
% 10.00/7.48 (~xuntil2p8(s219)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51597, 51593])).
% 10.00/7.48 tff(51599,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51600,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s219) | xuntil2p8(s219) | (~until2p7(s219)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51601,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s219) | xuntil2p8(s219) | (~until2p7(s219))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51600, 51599])).
% 10.00/7.48 tff(51602,plain,
% 10.00/7.48 (xuntil2p8(s219) | (~until2p7(s219))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51601, 49280, 46807])).
% 10.00/7.48 tff(51603,plain,
% 10.00/7.48 (~until2p7(s219)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51602, 51598])).
% 10.00/7.48 tff(51604,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51605,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s218, s219)) | until2p7(s219) | (~xuntil2p8(s218)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51606,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s218, s219)) | until2p7(s219) | (~xuntil2p8(s218))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51605, 51604])).
% 10.00/7.48 tff(51607,plain,
% 10.00/7.48 (until2p7(s219) | (~xuntil2p8(s218))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51606, 6278, 49295])).
% 10.00/7.48 tff(51608,plain,
% 10.00/7.48 (~xuntil2p8(s218)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51607, 51603])).
% 10.00/7.48 tff(51609,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51610,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s218) | xuntil2p8(s218) | (~until2p7(s218)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51611,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s218) | xuntil2p8(s218) | (~until2p7(s218))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51610, 51609])).
% 10.00/7.48 tff(51612,plain,
% 10.00/7.48 (xuntil2p8(s218) | (~until2p7(s218))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51611, 49280, 46803])).
% 10.00/7.48 tff(51613,plain,
% 10.00/7.48 (~until2p7(s218)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51612, 51608])).
% 10.00/7.48 tff(51614,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51615,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s217, s218)) | until2p7(s218) | (~xuntil2p8(s217)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51616,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s217, s218)) | until2p7(s218) | (~xuntil2p8(s217))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51615, 51614])).
% 10.00/7.48 tff(51617,plain,
% 10.00/7.48 (until2p7(s218) | (~xuntil2p8(s217))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51616, 6290, 49295])).
% 10.00/7.48 tff(51618,plain,
% 10.00/7.48 (~xuntil2p8(s217)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51617, 51613])).
% 10.00/7.48 tff(51619,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51620,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s217) | xuntil2p8(s217) | (~until2p7(s217)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51621,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s217) | xuntil2p8(s217) | (~until2p7(s217))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51620, 51619])).
% 10.00/7.48 tff(51622,plain,
% 10.00/7.48 (xuntil2p8(s217) | (~until2p7(s217))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51621, 49280, 46799])).
% 10.00/7.48 tff(51623,plain,
% 10.00/7.48 (~until2p7(s217)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51622, 51618])).
% 10.00/7.48 tff(51624,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51625,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s216, s217)) | until2p7(s217) | (~xuntil2p8(s216)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51626,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s216, s217)) | until2p7(s217) | (~xuntil2p8(s216))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51625, 51624])).
% 10.00/7.48 tff(51627,plain,
% 10.00/7.48 (until2p7(s217) | (~xuntil2p8(s216))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51626, 6306, 49295])).
% 10.00/7.48 tff(51628,plain,
% 10.00/7.48 (~xuntil2p8(s216)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51627, 51623])).
% 10.00/7.48 tff(51629,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51630,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s216) | xuntil2p8(s216) | (~until2p7(s216)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51631,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s216) | xuntil2p8(s216) | (~until2p7(s216))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51630, 51629])).
% 10.00/7.48 tff(51632,plain,
% 10.00/7.48 (xuntil2p8(s216) | (~until2p7(s216))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51631, 49280, 46795])).
% 10.00/7.48 tff(51633,plain,
% 10.00/7.48 (~until2p7(s216)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51632, 51628])).
% 10.00/7.48 tff(51634,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51635,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s215, s216)) | until2p7(s216) | (~xuntil2p8(s215)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51636,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s215, s216)) | until2p7(s216) | (~xuntil2p8(s215))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51635, 51634])).
% 10.00/7.48 tff(51637,plain,
% 10.00/7.48 (until2p7(s216) | (~xuntil2p8(s215))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51636, 6323, 49295])).
% 10.00/7.48 tff(51638,plain,
% 10.00/7.48 (~xuntil2p8(s215)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51637, 51633])).
% 10.00/7.48 tff(51639,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51640,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s215) | xuntil2p8(s215) | (~until2p7(s215)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51641,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s215) | xuntil2p8(s215) | (~until2p7(s215))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51640, 51639])).
% 10.00/7.48 tff(51642,plain,
% 10.00/7.48 (xuntil2p8(s215) | (~until2p7(s215))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51641, 49280, 46791])).
% 10.00/7.48 tff(51643,plain,
% 10.00/7.48 (~until2p7(s215)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51642, 51638])).
% 10.00/7.48 tff(51644,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51645,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s214, s215)) | until2p7(s215) | (~xuntil2p8(s214)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51646,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s214, s215)) | until2p7(s215) | (~xuntil2p8(s214))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51645, 51644])).
% 10.00/7.48 tff(51647,plain,
% 10.00/7.48 (until2p7(s215) | (~xuntil2p8(s214))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51646, 6336, 49295])).
% 10.00/7.48 tff(51648,plain,
% 10.00/7.48 (~xuntil2p8(s214)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51647, 51643])).
% 10.00/7.48 tff(51649,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51650,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s214) | xuntil2p8(s214) | (~until2p7(s214)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51651,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s214) | xuntil2p8(s214) | (~until2p7(s214))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51650, 51649])).
% 10.00/7.48 tff(51652,plain,
% 10.00/7.48 (xuntil2p8(s214) | (~until2p7(s214))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51651, 49280, 46787])).
% 10.00/7.48 tff(51653,plain,
% 10.00/7.48 (~until2p7(s214)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51652, 51648])).
% 10.00/7.48 tff(51654,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51655,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s213, s214)) | until2p7(s214) | (~xuntil2p8(s213)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51656,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s213, s214)) | until2p7(s214) | (~xuntil2p8(s213))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51655, 51654])).
% 10.00/7.48 tff(51657,plain,
% 10.00/7.48 (until2p7(s214) | (~xuntil2p8(s213))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51656, 6377, 49295])).
% 10.00/7.48 tff(51658,plain,
% 10.00/7.48 (~xuntil2p8(s213)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51657, 51653])).
% 10.00/7.48 tff(51659,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51660,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s213) | xuntil2p8(s213) | (~until2p7(s213)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51661,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s213) | xuntil2p8(s213) | (~until2p7(s213))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51660, 51659])).
% 10.00/7.48 tff(51662,plain,
% 10.00/7.48 (xuntil2p8(s213) | (~until2p7(s213))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51661, 49280, 46783])).
% 10.00/7.48 tff(51663,plain,
% 10.00/7.48 (~until2p7(s213)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51662, 51658])).
% 10.00/7.48 tff(51664,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51665,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s212, s213)) | until2p7(s213) | (~xuntil2p8(s212)))),
% 10.00/7.48 inference(quant_inst,[status(thm)],[])).
% 10.00/7.48 tff(51666,plain,
% 10.00/7.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s212, s213)) | until2p7(s213) | (~xuntil2p8(s212))),
% 10.00/7.48 inference(modus_ponens,[status(thm)],[51665, 51664])).
% 10.00/7.48 tff(51667,plain,
% 10.00/7.48 (until2p7(s213) | (~xuntil2p8(s212))),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51666, 6406, 49295])).
% 10.00/7.48 tff(51668,plain,
% 10.00/7.48 (~xuntil2p8(s212)),
% 10.00/7.48 inference(unit_resolution,[status(thm)],[51667, 51663])).
% 10.00/7.48 tff(51669,plain,
% 10.00/7.48 (((~![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)))),
% 10.00/7.48 inference(rewrite,[status(thm)],[])).
% 10.00/7.48 tff(51670,plain,
% 10.00/7.48 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s212) | xuntil2p8(s212) | (~until2p7(s212)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51671,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s212) | xuntil2p8(s212) | (~until2p7(s212))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51670, 51669])).
% 10.00/7.49 tff(51672,plain,
% 10.00/7.49 (xuntil2p8(s212) | (~until2p7(s212))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51671, 49280, 46779])).
% 10.00/7.49 tff(51673,plain,
% 10.00/7.49 (~until2p7(s212)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51672, 51668])).
% 10.00/7.49 tff(51674,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51675,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s211, s212)) | until2p7(s212) | (~xuntil2p8(s211)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51676,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s211, s212)) | until2p7(s212) | (~xuntil2p8(s211))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51675, 51674])).
% 10.00/7.49 tff(51677,plain,
% 10.00/7.49 (until2p7(s212) | (~xuntil2p8(s211))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51676, 6435, 49295])).
% 10.00/7.49 tff(51678,plain,
% 10.00/7.49 (~xuntil2p8(s211)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51677, 51673])).
% 10.00/7.49 tff(51679,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51680,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s211) | xuntil2p8(s211) | (~until2p7(s211)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51681,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s211) | xuntil2p8(s211) | (~until2p7(s211))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51680, 51679])).
% 10.00/7.49 tff(51682,plain,
% 10.00/7.49 (xuntil2p8(s211) | (~until2p7(s211))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51681, 49280, 46775])).
% 10.00/7.49 tff(51683,plain,
% 10.00/7.49 (~until2p7(s211)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51682, 51678])).
% 10.00/7.49 tff(51684,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51685,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s210, s211)) | until2p7(s211) | (~xuntil2p8(s210)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51686,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s210, s211)) | until2p7(s211) | (~xuntil2p8(s210))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51685, 51684])).
% 10.00/7.49 tff(51687,plain,
% 10.00/7.49 (until2p7(s211) | (~xuntil2p8(s210))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51686, 6464, 49295])).
% 10.00/7.49 tff(51688,plain,
% 10.00/7.49 (~xuntil2p8(s210)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51687, 51683])).
% 10.00/7.49 tff(51689,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51690,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s210) | xuntil2p8(s210) | (~until2p7(s210)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51691,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s210) | xuntil2p8(s210) | (~until2p7(s210))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51690, 51689])).
% 10.00/7.49 tff(51692,plain,
% 10.00/7.49 (xuntil2p8(s210) | (~until2p7(s210))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51691, 49280, 46771])).
% 10.00/7.49 tff(51693,plain,
% 10.00/7.49 (~until2p7(s210)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51692, 51688])).
% 10.00/7.49 tff(51694,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51695,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s209, s210)) | until2p7(s210) | (~xuntil2p8(s209)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51696,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s209, s210)) | until2p7(s210) | (~xuntil2p8(s209))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51695, 51694])).
% 10.00/7.49 tff(51697,plain,
% 10.00/7.49 (until2p7(s210) | (~xuntil2p8(s209))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51696, 6493, 49295])).
% 10.00/7.49 tff(51698,plain,
% 10.00/7.49 (~xuntil2p8(s209)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51697, 51693])).
% 10.00/7.49 tff(51699,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51700,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s209) | xuntil2p8(s209) | (~until2p7(s209)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51701,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s209) | xuntil2p8(s209) | (~until2p7(s209))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51700, 51699])).
% 10.00/7.49 tff(51702,plain,
% 10.00/7.49 (xuntil2p8(s209) | (~until2p7(s209))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51701, 49280, 46767])).
% 10.00/7.49 tff(51703,plain,
% 10.00/7.49 (~until2p7(s209)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51702, 51698])).
% 10.00/7.49 tff(51704,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51705,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s208, s209)) | until2p7(s209) | (~xuntil2p8(s208)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51706,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s208, s209)) | until2p7(s209) | (~xuntil2p8(s208))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51705, 51704])).
% 10.00/7.49 tff(51707,plain,
% 10.00/7.49 (until2p7(s209) | (~xuntil2p8(s208))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51706, 6522, 49295])).
% 10.00/7.49 tff(51708,plain,
% 10.00/7.49 (~xuntil2p8(s208)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51707, 51703])).
% 10.00/7.49 tff(51709,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51710,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s208) | xuntil2p8(s208) | (~until2p7(s208)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51711,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s208) | xuntil2p8(s208) | (~until2p7(s208))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51710, 51709])).
% 10.00/7.49 tff(51712,plain,
% 10.00/7.49 (xuntil2p8(s208) | (~until2p7(s208))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51711, 49280, 46763])).
% 10.00/7.49 tff(51713,plain,
% 10.00/7.49 (~until2p7(s208)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51712, 51708])).
% 10.00/7.49 tff(51714,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51715,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s207, s208)) | until2p7(s208) | (~xuntil2p8(s207)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51716,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s207, s208)) | until2p7(s208) | (~xuntil2p8(s207))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51715, 51714])).
% 10.00/7.49 tff(51717,plain,
% 10.00/7.49 (until2p7(s208) | (~xuntil2p8(s207))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51716, 6551, 49295])).
% 10.00/7.49 tff(51718,plain,
% 10.00/7.49 (~xuntil2p8(s207)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51717, 51713])).
% 10.00/7.49 tff(51719,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51720,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s207) | xuntil2p8(s207) | (~until2p7(s207)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51721,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s207) | xuntil2p8(s207) | (~until2p7(s207))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51720, 51719])).
% 10.00/7.49 tff(51722,plain,
% 10.00/7.49 (xuntil2p8(s207) | (~until2p7(s207))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51721, 49280, 46759])).
% 10.00/7.49 tff(51723,plain,
% 10.00/7.49 (~until2p7(s207)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51722, 51718])).
% 10.00/7.49 tff(51724,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51725,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s206, s207)) | until2p7(s207) | (~xuntil2p8(s206)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51726,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s206, s207)) | until2p7(s207) | (~xuntil2p8(s206))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51725, 51724])).
% 10.00/7.49 tff(51727,plain,
% 10.00/7.49 (until2p7(s207) | (~xuntil2p8(s206))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51726, 6580, 49295])).
% 10.00/7.49 tff(51728,plain,
% 10.00/7.49 (~xuntil2p8(s206)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51727, 51723])).
% 10.00/7.49 tff(51729,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51730,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s206) | xuntil2p8(s206) | (~until2p7(s206)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51731,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s206) | xuntil2p8(s206) | (~until2p7(s206))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51730, 51729])).
% 10.00/7.49 tff(51732,plain,
% 10.00/7.49 (xuntil2p8(s206) | (~until2p7(s206))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51731, 49280, 46755])).
% 10.00/7.49 tff(51733,plain,
% 10.00/7.49 (~until2p7(s206)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51732, 51728])).
% 10.00/7.49 tff(51734,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51735,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s205, s206)) | until2p7(s206) | (~xuntil2p8(s205)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51736,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s205, s206)) | until2p7(s206) | (~xuntil2p8(s205))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51735, 51734])).
% 10.00/7.49 tff(51737,plain,
% 10.00/7.49 (until2p7(s206) | (~xuntil2p8(s205))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51736, 6609, 49295])).
% 10.00/7.49 tff(51738,plain,
% 10.00/7.49 (~xuntil2p8(s205)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51737, 51733])).
% 10.00/7.49 tff(51739,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51740,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s205) | xuntil2p8(s205) | (~until2p7(s205)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51741,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s205) | xuntil2p8(s205) | (~until2p7(s205))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51740, 51739])).
% 10.00/7.49 tff(51742,plain,
% 10.00/7.49 (xuntil2p8(s205) | (~until2p7(s205))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51741, 49280, 46751])).
% 10.00/7.49 tff(51743,plain,
% 10.00/7.49 (~until2p7(s205)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51742, 51738])).
% 10.00/7.49 tff(51744,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51745,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s204, s205)) | until2p7(s205) | (~xuntil2p8(s204)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51746,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s204, s205)) | until2p7(s205) | (~xuntil2p8(s204))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51745, 51744])).
% 10.00/7.49 tff(51747,plain,
% 10.00/7.49 (until2p7(s205) | (~xuntil2p8(s204))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51746, 6638, 49295])).
% 10.00/7.49 tff(51748,plain,
% 10.00/7.49 (~xuntil2p8(s204)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51747, 51743])).
% 10.00/7.49 tff(51749,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51750,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s204) | xuntil2p8(s204) | (~until2p7(s204)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51751,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s204) | xuntil2p8(s204) | (~until2p7(s204))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51750, 51749])).
% 10.00/7.49 tff(51752,plain,
% 10.00/7.49 (xuntil2p8(s204) | (~until2p7(s204))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51751, 49280, 46747])).
% 10.00/7.49 tff(51753,plain,
% 10.00/7.49 (~until2p7(s204)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51752, 51748])).
% 10.00/7.49 tff(51754,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51755,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s203, s204)) | until2p7(s204) | (~xuntil2p8(s203)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51756,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s203, s204)) | until2p7(s204) | (~xuntil2p8(s203))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51755, 51754])).
% 10.00/7.49 tff(51757,plain,
% 10.00/7.49 (until2p7(s204) | (~xuntil2p8(s203))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51756, 6667, 49295])).
% 10.00/7.49 tff(51758,plain,
% 10.00/7.49 (~xuntil2p8(s203)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51757, 51753])).
% 10.00/7.49 tff(51759,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51760,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s203) | xuntil2p8(s203) | (~until2p7(s203)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51761,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s203) | xuntil2p8(s203) | (~until2p7(s203))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51760, 51759])).
% 10.00/7.49 tff(51762,plain,
% 10.00/7.49 (xuntil2p8(s203) | (~until2p7(s203))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51761, 49280, 46743])).
% 10.00/7.49 tff(51763,plain,
% 10.00/7.49 (~until2p7(s203)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51762, 51758])).
% 10.00/7.49 tff(51764,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51765,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s202, s203)) | until2p7(s203) | (~xuntil2p8(s202)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51766,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s202, s203)) | until2p7(s203) | (~xuntil2p8(s202))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51765, 51764])).
% 10.00/7.49 tff(51767,plain,
% 10.00/7.49 (until2p7(s203) | (~xuntil2p8(s202))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51766, 6696, 49295])).
% 10.00/7.49 tff(51768,plain,
% 10.00/7.49 (~xuntil2p8(s202)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51767, 51763])).
% 10.00/7.49 tff(51769,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51770,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s202) | xuntil2p8(s202) | (~until2p7(s202)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51771,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s202) | xuntil2p8(s202) | (~until2p7(s202))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51770, 51769])).
% 10.00/7.49 tff(51772,plain,
% 10.00/7.49 (xuntil2p8(s202) | (~until2p7(s202))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51771, 49280, 46739])).
% 10.00/7.49 tff(51773,plain,
% 10.00/7.49 (~until2p7(s202)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51772, 51768])).
% 10.00/7.49 tff(51774,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51775,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s201, s202)) | until2p7(s202) | (~xuntil2p8(s201)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51776,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s201, s202)) | until2p7(s202) | (~xuntil2p8(s201))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51775, 51774])).
% 10.00/7.49 tff(51777,plain,
% 10.00/7.49 (until2p7(s202) | (~xuntil2p8(s201))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51776, 6725, 49295])).
% 10.00/7.49 tff(51778,plain,
% 10.00/7.49 (~xuntil2p8(s201)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51777, 51773])).
% 10.00/7.49 tff(51779,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51780,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s201) | xuntil2p8(s201) | (~until2p7(s201)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51781,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s201) | xuntil2p8(s201) | (~until2p7(s201))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51780, 51779])).
% 10.00/7.49 tff(51782,plain,
% 10.00/7.49 (xuntil2p8(s201) | (~until2p7(s201))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51781, 49280, 46735])).
% 10.00/7.49 tff(51783,plain,
% 10.00/7.49 (~until2p7(s201)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51782, 51778])).
% 10.00/7.49 tff(51784,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51785,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s200, s201)) | until2p7(s201) | (~xuntil2p8(s200)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51786,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s200, s201)) | until2p7(s201) | (~xuntil2p8(s200))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51785, 51784])).
% 10.00/7.49 tff(51787,plain,
% 10.00/7.49 (until2p7(s201) | (~xuntil2p8(s200))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51786, 6754, 49295])).
% 10.00/7.49 tff(51788,plain,
% 10.00/7.49 (~xuntil2p8(s200)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51787, 51783])).
% 10.00/7.49 tff(51789,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51790,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s200) | xuntil2p8(s200) | (~until2p7(s200)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51791,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s200) | xuntil2p8(s200) | (~until2p7(s200))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51790, 51789])).
% 10.00/7.49 tff(51792,plain,
% 10.00/7.49 (xuntil2p8(s200) | (~until2p7(s200))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51791, 49280, 46731])).
% 10.00/7.49 tff(51793,plain,
% 10.00/7.49 (~until2p7(s200)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51792, 51788])).
% 10.00/7.49 tff(51794,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51795,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s199, s200)) | until2p7(s200) | (~xuntil2p8(s199)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51796,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s199, s200)) | until2p7(s200) | (~xuntil2p8(s199))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51795, 51794])).
% 10.00/7.49 tff(51797,plain,
% 10.00/7.49 (until2p7(s200) | (~xuntil2p8(s199))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51796, 6783, 49295])).
% 10.00/7.49 tff(51798,plain,
% 10.00/7.49 (~xuntil2p8(s199)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51797, 51793])).
% 10.00/7.49 tff(51799,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51800,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s199) | xuntil2p8(s199) | (~until2p7(s199)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51801,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s199) | xuntil2p8(s199) | (~until2p7(s199))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51800, 51799])).
% 10.00/7.49 tff(51802,plain,
% 10.00/7.49 (xuntil2p8(s199) | (~until2p7(s199))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51801, 49280, 46727])).
% 10.00/7.49 tff(51803,plain,
% 10.00/7.49 (~until2p7(s199)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51802, 51798])).
% 10.00/7.49 tff(51804,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51805,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s198, s199)) | until2p7(s199) | (~xuntil2p8(s198)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51806,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s198, s199)) | until2p7(s199) | (~xuntil2p8(s198))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51805, 51804])).
% 10.00/7.49 tff(51807,plain,
% 10.00/7.49 (until2p7(s199) | (~xuntil2p8(s198))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51806, 6812, 49295])).
% 10.00/7.49 tff(51808,plain,
% 10.00/7.49 (~xuntil2p8(s198)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51807, 51803])).
% 10.00/7.49 tff(51809,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51810,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s198) | xuntil2p8(s198) | (~until2p7(s198)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51811,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s198) | xuntil2p8(s198) | (~until2p7(s198))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51810, 51809])).
% 10.00/7.49 tff(51812,plain,
% 10.00/7.49 (xuntil2p8(s198) | (~until2p7(s198))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51811, 49280, 46723])).
% 10.00/7.49 tff(51813,plain,
% 10.00/7.49 (~until2p7(s198)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51812, 51808])).
% 10.00/7.49 tff(51814,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51815,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s197, s198)) | until2p7(s198) | (~xuntil2p8(s197)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51816,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s197, s198)) | until2p7(s198) | (~xuntil2p8(s197))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51815, 51814])).
% 10.00/7.49 tff(51817,plain,
% 10.00/7.49 (until2p7(s198) | (~xuntil2p8(s197))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51816, 6841, 49295])).
% 10.00/7.49 tff(51818,plain,
% 10.00/7.49 (~xuntil2p8(s197)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51817, 51813])).
% 10.00/7.49 tff(51819,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51820,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s197) | xuntil2p8(s197) | (~until2p7(s197)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51821,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s197) | xuntil2p8(s197) | (~until2p7(s197))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51820, 51819])).
% 10.00/7.49 tff(51822,plain,
% 10.00/7.49 (xuntil2p8(s197) | (~until2p7(s197))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51821, 49280, 46719])).
% 10.00/7.49 tff(51823,plain,
% 10.00/7.49 (~until2p7(s197)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51822, 51818])).
% 10.00/7.49 tff(51824,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51825,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s196, s197)) | until2p7(s197) | (~xuntil2p8(s196)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51826,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s196, s197)) | until2p7(s197) | (~xuntil2p8(s196))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51825, 51824])).
% 10.00/7.49 tff(51827,plain,
% 10.00/7.49 (until2p7(s197) | (~xuntil2p8(s196))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51826, 6870, 49295])).
% 10.00/7.49 tff(51828,plain,
% 10.00/7.49 (~xuntil2p8(s196)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51827, 51823])).
% 10.00/7.49 tff(51829,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51830,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s196) | xuntil2p8(s196) | (~until2p7(s196)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51831,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s196) | xuntil2p8(s196) | (~until2p7(s196))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51830, 51829])).
% 10.00/7.49 tff(51832,plain,
% 10.00/7.49 (xuntil2p8(s196) | (~until2p7(s196))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51831, 49280, 46715])).
% 10.00/7.49 tff(51833,plain,
% 10.00/7.49 (~until2p7(s196)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51832, 51828])).
% 10.00/7.49 tff(51834,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51835,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s195, s196)) | until2p7(s196) | (~xuntil2p8(s195)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51836,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s195, s196)) | until2p7(s196) | (~xuntil2p8(s195))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51835, 51834])).
% 10.00/7.49 tff(51837,plain,
% 10.00/7.49 (until2p7(s196) | (~xuntil2p8(s195))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51836, 6899, 49295])).
% 10.00/7.49 tff(51838,plain,
% 10.00/7.49 (~xuntil2p8(s195)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51837, 51833])).
% 10.00/7.49 tff(51839,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51840,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s195) | xuntil2p8(s195) | (~until2p7(s195)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51841,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s195) | xuntil2p8(s195) | (~until2p7(s195))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51840, 51839])).
% 10.00/7.49 tff(51842,plain,
% 10.00/7.49 (xuntil2p8(s195) | (~until2p7(s195))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51841, 49280, 46711])).
% 10.00/7.49 tff(51843,plain,
% 10.00/7.49 (~until2p7(s195)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51842, 51838])).
% 10.00/7.49 tff(51844,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51845,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s194, s195)) | until2p7(s195) | (~xuntil2p8(s194)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51846,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s194, s195)) | until2p7(s195) | (~xuntil2p8(s194))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51845, 51844])).
% 10.00/7.49 tff(51847,plain,
% 10.00/7.49 (until2p7(s195) | (~xuntil2p8(s194))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51846, 6928, 49295])).
% 10.00/7.49 tff(51848,plain,
% 10.00/7.49 (~xuntil2p8(s194)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51847, 51843])).
% 10.00/7.49 tff(51849,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51850,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s194) | xuntil2p8(s194) | (~until2p7(s194)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51851,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s194) | xuntil2p8(s194) | (~until2p7(s194))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51850, 51849])).
% 10.00/7.49 tff(51852,plain,
% 10.00/7.49 (xuntil2p8(s194) | (~until2p7(s194))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51851, 49280, 46707])).
% 10.00/7.49 tff(51853,plain,
% 10.00/7.49 (~until2p7(s194)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51852, 51848])).
% 10.00/7.49 tff(51854,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51855,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s193, s194)) | until2p7(s194) | (~xuntil2p8(s193)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51856,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s193, s194)) | until2p7(s194) | (~xuntil2p8(s193))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51855, 51854])).
% 10.00/7.49 tff(51857,plain,
% 10.00/7.49 (until2p7(s194) | (~xuntil2p8(s193))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51856, 6957, 49295])).
% 10.00/7.49 tff(51858,plain,
% 10.00/7.49 (~xuntil2p8(s193)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51857, 51853])).
% 10.00/7.49 tff(51859,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51860,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s193) | xuntil2p8(s193) | (~until2p7(s193)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51861,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s193) | xuntil2p8(s193) | (~until2p7(s193))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51860, 51859])).
% 10.00/7.49 tff(51862,plain,
% 10.00/7.49 (xuntil2p8(s193) | (~until2p7(s193))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51861, 49280, 46703])).
% 10.00/7.49 tff(51863,plain,
% 10.00/7.49 (~until2p7(s193)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51862, 51858])).
% 10.00/7.49 tff(51864,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51865,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s192, s193)) | until2p7(s193) | (~xuntil2p8(s192)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51866,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s192, s193)) | until2p7(s193) | (~xuntil2p8(s192))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51865, 51864])).
% 10.00/7.49 tff(51867,plain,
% 10.00/7.49 (until2p7(s193) | (~xuntil2p8(s192))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51866, 6986, 49295])).
% 10.00/7.49 tff(51868,plain,
% 10.00/7.49 (~xuntil2p8(s192)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51867, 51863])).
% 10.00/7.49 tff(51869,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51870,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s192) | xuntil2p8(s192) | (~until2p7(s192)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51871,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s192) | xuntil2p8(s192) | (~until2p7(s192))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51870, 51869])).
% 10.00/7.49 tff(51872,plain,
% 10.00/7.49 (xuntil2p8(s192) | (~until2p7(s192))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51871, 49280, 46699])).
% 10.00/7.49 tff(51873,plain,
% 10.00/7.49 (~until2p7(s192)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51872, 51868])).
% 10.00/7.49 tff(51874,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51875,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s191, s192)) | until2p7(s192) | (~xuntil2p8(s191)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51876,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s191, s192)) | until2p7(s192) | (~xuntil2p8(s191))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51875, 51874])).
% 10.00/7.49 tff(51877,plain,
% 10.00/7.49 (until2p7(s192) | (~xuntil2p8(s191))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51876, 7015, 49295])).
% 10.00/7.49 tff(51878,plain,
% 10.00/7.49 (~xuntil2p8(s191)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51877, 51873])).
% 10.00/7.49 tff(51879,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51880,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s191) | xuntil2p8(s191) | (~until2p7(s191)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51881,plain,
% 10.00/7.49 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s191) | xuntil2p8(s191) | (~until2p7(s191))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51880, 51879])).
% 10.00/7.49 tff(51882,plain,
% 10.00/7.49 (xuntil2p8(s191) | (~until2p7(s191))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51881, 49280, 46695])).
% 10.00/7.49 tff(51883,plain,
% 10.00/7.49 (~until2p7(s191)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51882, 51878])).
% 10.00/7.49 tff(51884,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.49 inference(rewrite,[status(thm)],[])).
% 10.00/7.49 tff(51885,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s190, s191)) | until2p7(s191) | (~xuntil2p8(s190)))),
% 10.00/7.49 inference(quant_inst,[status(thm)],[])).
% 10.00/7.49 tff(51886,plain,
% 10.00/7.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s190, s191)) | until2p7(s191) | (~xuntil2p8(s190))),
% 10.00/7.49 inference(modus_ponens,[status(thm)],[51885, 51884])).
% 10.00/7.49 tff(51887,plain,
% 10.00/7.49 (until2p7(s191) | (~xuntil2p8(s190))),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51886, 7044, 49295])).
% 10.00/7.49 tff(51888,plain,
% 10.00/7.49 (~xuntil2p8(s190)),
% 10.00/7.49 inference(unit_resolution,[status(thm)],[51887, 51883])).
% 10.00/7.49 tff(51889,plain,
% 10.00/7.49 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(51890,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s190) | xuntil2p8(s190) | (~until2p7(s190)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(51891,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s190) | xuntil2p8(s190) | (~until2p7(s190))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[51890, 51889])).
% 10.00/7.50 tff(51892,plain,
% 10.00/7.50 (xuntil2p8(s190) | (~until2p7(s190))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51891, 49280, 46691])).
% 10.00/7.50 tff(51893,plain,
% 10.00/7.50 (~until2p7(s190)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51892, 51888])).
% 10.00/7.50 tff(51894,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(51895,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s189, s190)) | until2p7(s190) | (~xuntil2p8(s189)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(51896,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s189, s190)) | until2p7(s190) | (~xuntil2p8(s189))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[51895, 51894])).
% 10.00/7.50 tff(51897,plain,
% 10.00/7.50 (until2p7(s190) | (~xuntil2p8(s189))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51896, 7073, 49295])).
% 10.00/7.50 tff(51898,plain,
% 10.00/7.50 (~xuntil2p8(s189)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51897, 51893])).
% 10.00/7.50 tff(51899,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(51900,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s189) | xuntil2p8(s189) | (~until2p7(s189)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(51901,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s189) | xuntil2p8(s189) | (~until2p7(s189))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[51900, 51899])).
% 10.00/7.50 tff(51902,plain,
% 10.00/7.50 (xuntil2p8(s189) | (~until2p7(s189))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51901, 49280, 46687])).
% 10.00/7.50 tff(51903,plain,
% 10.00/7.50 (~until2p7(s189)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51902, 51898])).
% 10.00/7.50 tff(51904,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(51905,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s188, s189)) | until2p7(s189) | (~xuntil2p8(s188)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(51906,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s188, s189)) | until2p7(s189) | (~xuntil2p8(s188))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[51905, 51904])).
% 10.00/7.50 tff(51907,plain,
% 10.00/7.50 (until2p7(s189) | (~xuntil2p8(s188))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51906, 7102, 49295])).
% 10.00/7.50 tff(51908,plain,
% 10.00/7.50 (~xuntil2p8(s188)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51907, 51903])).
% 10.00/7.50 tff(51909,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(51910,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s188) | xuntil2p8(s188) | (~until2p7(s188)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(51911,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s188) | xuntil2p8(s188) | (~until2p7(s188))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[51910, 51909])).
% 10.00/7.50 tff(51912,plain,
% 10.00/7.50 (xuntil2p8(s188) | (~until2p7(s188))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51911, 49280, 46683])).
% 10.00/7.50 tff(51913,plain,
% 10.00/7.50 (~until2p7(s188)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51912, 51908])).
% 10.00/7.50 tff(51914,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(51915,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s187, s188)) | until2p7(s188) | (~xuntil2p8(s187)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(51916,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s187, s188)) | until2p7(s188) | (~xuntil2p8(s187))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[51915, 51914])).
% 10.00/7.50 tff(51917,plain,
% 10.00/7.50 (until2p7(s188) | (~xuntil2p8(s187))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51916, 7131, 49295])).
% 10.00/7.50 tff(51918,plain,
% 10.00/7.50 (~xuntil2p8(s187)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51917, 51913])).
% 10.00/7.50 tff(51919,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(51920,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s187) | xuntil2p8(s187) | (~until2p7(s187)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(51921,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s187) | xuntil2p8(s187) | (~until2p7(s187))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[51920, 51919])).
% 10.00/7.50 tff(51922,plain,
% 10.00/7.50 (xuntil2p8(s187) | (~until2p7(s187))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51921, 49280, 46679])).
% 10.00/7.50 tff(51923,plain,
% 10.00/7.50 (~until2p7(s187)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51922, 51918])).
% 10.00/7.50 tff(51924,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(51925,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s186, s187)) | until2p7(s187) | (~xuntil2p8(s186)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(51926,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s186, s187)) | until2p7(s187) | (~xuntil2p8(s186))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[51925, 51924])).
% 10.00/7.50 tff(51927,plain,
% 10.00/7.50 (until2p7(s187) | (~xuntil2p8(s186))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51926, 7160, 49295])).
% 10.00/7.50 tff(51928,plain,
% 10.00/7.50 (~xuntil2p8(s186)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51927, 51923])).
% 10.00/7.50 tff(51929,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(51930,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s186) | xuntil2p8(s186) | (~until2p7(s186)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(51931,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s186) | xuntil2p8(s186) | (~until2p7(s186))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[51930, 51929])).
% 10.00/7.50 tff(51932,plain,
% 10.00/7.50 (xuntil2p8(s186) | (~until2p7(s186))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51931, 49280, 46675])).
% 10.00/7.50 tff(51933,plain,
% 10.00/7.50 (~until2p7(s186)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51932, 51928])).
% 10.00/7.50 tff(51934,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(51935,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s185, s186)) | until2p7(s186) | (~xuntil2p8(s185)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(51936,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s185, s186)) | until2p7(s186) | (~xuntil2p8(s185))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[51935, 51934])).
% 10.00/7.50 tff(51937,plain,
% 10.00/7.50 (until2p7(s186) | (~xuntil2p8(s185))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51936, 7189, 49295])).
% 10.00/7.50 tff(51938,plain,
% 10.00/7.50 (~xuntil2p8(s185)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51937, 51933])).
% 10.00/7.50 tff(51939,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(51940,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s185) | xuntil2p8(s185) | (~until2p7(s185)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(51941,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s185) | xuntil2p8(s185) | (~until2p7(s185))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[51940, 51939])).
% 10.00/7.50 tff(51942,plain,
% 10.00/7.50 (xuntil2p8(s185) | (~until2p7(s185))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51941, 49280, 46671])).
% 10.00/7.50 tff(51943,plain,
% 10.00/7.50 (~until2p7(s185)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51942, 51938])).
% 10.00/7.50 tff(51944,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(51945,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s184, s185)) | until2p7(s185) | (~xuntil2p8(s184)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(51946,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s184, s185)) | until2p7(s185) | (~xuntil2p8(s184))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[51945, 51944])).
% 10.00/7.50 tff(51947,plain,
% 10.00/7.50 (until2p7(s185) | (~xuntil2p8(s184))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51946, 7218, 49295])).
% 10.00/7.50 tff(51948,plain,
% 10.00/7.50 (~xuntil2p8(s184)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51947, 51943])).
% 10.00/7.50 tff(51949,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(51950,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s184) | xuntil2p8(s184) | (~until2p7(s184)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(51951,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s184) | xuntil2p8(s184) | (~until2p7(s184))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[51950, 51949])).
% 10.00/7.50 tff(51952,plain,
% 10.00/7.50 (xuntil2p8(s184) | (~until2p7(s184))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51951, 49280, 46667])).
% 10.00/7.50 tff(51953,plain,
% 10.00/7.50 (~until2p7(s184)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51952, 51948])).
% 10.00/7.50 tff(51954,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(51955,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s183, s184)) | until2p7(s184) | (~xuntil2p8(s183)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(51956,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s183, s184)) | until2p7(s184) | (~xuntil2p8(s183))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[51955, 51954])).
% 10.00/7.50 tff(51957,plain,
% 10.00/7.50 (until2p7(s184) | (~xuntil2p8(s183))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51956, 7247, 49295])).
% 10.00/7.50 tff(51958,plain,
% 10.00/7.50 (~xuntil2p8(s183)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51957, 51953])).
% 10.00/7.50 tff(51959,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(51960,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s183) | xuntil2p8(s183) | (~until2p7(s183)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(51961,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s183) | xuntil2p8(s183) | (~until2p7(s183))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[51960, 51959])).
% 10.00/7.50 tff(51962,plain,
% 10.00/7.50 (xuntil2p8(s183) | (~until2p7(s183))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51961, 49280, 46663])).
% 10.00/7.50 tff(51963,plain,
% 10.00/7.50 (~until2p7(s183)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51962, 51958])).
% 10.00/7.50 tff(51964,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(51965,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s182, s183)) | until2p7(s183) | (~xuntil2p8(s182)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(51966,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s182, s183)) | until2p7(s183) | (~xuntil2p8(s182))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[51965, 51964])).
% 10.00/7.50 tff(51967,plain,
% 10.00/7.50 (until2p7(s183) | (~xuntil2p8(s182))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51966, 7276, 49295])).
% 10.00/7.50 tff(51968,plain,
% 10.00/7.50 (~xuntil2p8(s182)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51967, 51963])).
% 10.00/7.50 tff(51969,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(51970,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s182) | xuntil2p8(s182) | (~until2p7(s182)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(51971,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s182) | xuntil2p8(s182) | (~until2p7(s182))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[51970, 51969])).
% 10.00/7.50 tff(51972,plain,
% 10.00/7.50 (xuntil2p8(s182) | (~until2p7(s182))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51971, 49280, 46659])).
% 10.00/7.50 tff(51973,plain,
% 10.00/7.50 (~until2p7(s182)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51972, 51968])).
% 10.00/7.50 tff(51974,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(51975,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s181, s182)) | until2p7(s182) | (~xuntil2p8(s181)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(51976,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s181, s182)) | until2p7(s182) | (~xuntil2p8(s181))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[51975, 51974])).
% 10.00/7.50 tff(51977,plain,
% 10.00/7.50 (until2p7(s182) | (~xuntil2p8(s181))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51976, 7305, 49295])).
% 10.00/7.50 tff(51978,plain,
% 10.00/7.50 (~xuntil2p8(s181)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51977, 51973])).
% 10.00/7.50 tff(51979,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(51980,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s181) | xuntil2p8(s181) | (~until2p7(s181)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(51981,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s181) | xuntil2p8(s181) | (~until2p7(s181))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[51980, 51979])).
% 10.00/7.50 tff(51982,plain,
% 10.00/7.50 (xuntil2p8(s181) | (~until2p7(s181))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51981, 49280, 46655])).
% 10.00/7.50 tff(51983,plain,
% 10.00/7.50 (~until2p7(s181)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51982, 51978])).
% 10.00/7.50 tff(51984,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(51985,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s180, s181)) | until2p7(s181) | (~xuntil2p8(s180)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(51986,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s180, s181)) | until2p7(s181) | (~xuntil2p8(s180))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[51985, 51984])).
% 10.00/7.50 tff(51987,plain,
% 10.00/7.50 (until2p7(s181) | (~xuntil2p8(s180))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51986, 7334, 49295])).
% 10.00/7.50 tff(51988,plain,
% 10.00/7.50 (~xuntil2p8(s180)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51987, 51983])).
% 10.00/7.50 tff(51989,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(51990,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s180) | xuntil2p8(s180) | (~until2p7(s180)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(51991,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s180) | xuntil2p8(s180) | (~until2p7(s180))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[51990, 51989])).
% 10.00/7.50 tff(51992,plain,
% 10.00/7.50 (xuntil2p8(s180) | (~until2p7(s180))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51991, 49280, 46651])).
% 10.00/7.50 tff(51993,plain,
% 10.00/7.50 (~until2p7(s180)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51992, 51988])).
% 10.00/7.50 tff(51994,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(51995,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s179, s180)) | until2p7(s180) | (~xuntil2p8(s179)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(51996,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s179, s180)) | until2p7(s180) | (~xuntil2p8(s179))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[51995, 51994])).
% 10.00/7.50 tff(51997,plain,
% 10.00/7.50 (until2p7(s180) | (~xuntil2p8(s179))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51996, 7363, 49295])).
% 10.00/7.50 tff(51998,plain,
% 10.00/7.50 (~xuntil2p8(s179)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[51997, 51993])).
% 10.00/7.50 tff(51999,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(52000,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s179) | xuntil2p8(s179) | (~until2p7(s179)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(52001,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s179) | xuntil2p8(s179) | (~until2p7(s179))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[52000, 51999])).
% 10.00/7.50 tff(52002,plain,
% 10.00/7.50 (xuntil2p8(s179) | (~until2p7(s179))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52001, 49280, 46647])).
% 10.00/7.50 tff(52003,plain,
% 10.00/7.50 (~until2p7(s179)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52002, 51998])).
% 10.00/7.50 tff(52004,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(52005,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s178, s179)) | until2p7(s179) | (~xuntil2p8(s178)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(52006,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s178, s179)) | until2p7(s179) | (~xuntil2p8(s178))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[52005, 52004])).
% 10.00/7.50 tff(52007,plain,
% 10.00/7.50 (until2p7(s179) | (~xuntil2p8(s178))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52006, 7392, 49295])).
% 10.00/7.50 tff(52008,plain,
% 10.00/7.50 (~xuntil2p8(s178)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52007, 52003])).
% 10.00/7.50 tff(52009,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(52010,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s178) | xuntil2p8(s178) | (~until2p7(s178)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(52011,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s178) | xuntil2p8(s178) | (~until2p7(s178))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[52010, 52009])).
% 10.00/7.50 tff(52012,plain,
% 10.00/7.50 (xuntil2p8(s178) | (~until2p7(s178))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52011, 49280, 46643])).
% 10.00/7.50 tff(52013,plain,
% 10.00/7.50 (~until2p7(s178)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52012, 52008])).
% 10.00/7.50 tff(52014,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(52015,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s177, s178)) | until2p7(s178) | (~xuntil2p8(s177)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(52016,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s177, s178)) | until2p7(s178) | (~xuntil2p8(s177))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[52015, 52014])).
% 10.00/7.50 tff(52017,plain,
% 10.00/7.50 (until2p7(s178) | (~xuntil2p8(s177))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52016, 7421, 49295])).
% 10.00/7.50 tff(52018,plain,
% 10.00/7.50 (~xuntil2p8(s177)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52017, 52013])).
% 10.00/7.50 tff(52019,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(52020,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s177) | xuntil2p8(s177) | (~until2p7(s177)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(52021,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s177) | xuntil2p8(s177) | (~until2p7(s177))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[52020, 52019])).
% 10.00/7.50 tff(52022,plain,
% 10.00/7.50 (xuntil2p8(s177) | (~until2p7(s177))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52021, 49280, 46639])).
% 10.00/7.50 tff(52023,plain,
% 10.00/7.50 (~until2p7(s177)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52022, 52018])).
% 10.00/7.50 tff(52024,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(52025,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s176, s177)) | until2p7(s177) | (~xuntil2p8(s176)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(52026,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s176, s177)) | until2p7(s177) | (~xuntil2p8(s176))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[52025, 52024])).
% 10.00/7.50 tff(52027,plain,
% 10.00/7.50 (until2p7(s177) | (~xuntil2p8(s176))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52026, 7450, 49295])).
% 10.00/7.50 tff(52028,plain,
% 10.00/7.50 (~xuntil2p8(s176)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52027, 52023])).
% 10.00/7.50 tff(52029,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(52030,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s176) | xuntil2p8(s176) | (~until2p7(s176)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(52031,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s176) | xuntil2p8(s176) | (~until2p7(s176))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[52030, 52029])).
% 10.00/7.50 tff(52032,plain,
% 10.00/7.50 (xuntil2p8(s176) | (~until2p7(s176))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52031, 49280, 46635])).
% 10.00/7.50 tff(52033,plain,
% 10.00/7.50 (~until2p7(s176)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52032, 52028])).
% 10.00/7.50 tff(52034,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(52035,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s175, s176)) | until2p7(s176) | (~xuntil2p8(s175)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(52036,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s175, s176)) | until2p7(s176) | (~xuntil2p8(s175))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[52035, 52034])).
% 10.00/7.50 tff(52037,plain,
% 10.00/7.50 (until2p7(s176) | (~xuntil2p8(s175))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52036, 7479, 49295])).
% 10.00/7.50 tff(52038,plain,
% 10.00/7.50 (~xuntil2p8(s175)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52037, 52033])).
% 10.00/7.50 tff(52039,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(52040,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s175) | xuntil2p8(s175) | (~until2p7(s175)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(52041,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s175) | xuntil2p8(s175) | (~until2p7(s175))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[52040, 52039])).
% 10.00/7.50 tff(52042,plain,
% 10.00/7.50 (xuntil2p8(s175) | (~until2p7(s175))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52041, 49280, 46631])).
% 10.00/7.50 tff(52043,plain,
% 10.00/7.50 (~until2p7(s175)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52042, 52038])).
% 10.00/7.50 tff(52044,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(52045,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s174, s175)) | until2p7(s175) | (~xuntil2p8(s174)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(52046,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s174, s175)) | until2p7(s175) | (~xuntil2p8(s174))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[52045, 52044])).
% 10.00/7.50 tff(52047,plain,
% 10.00/7.50 (until2p7(s175) | (~xuntil2p8(s174))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52046, 7508, 49295])).
% 10.00/7.50 tff(52048,plain,
% 10.00/7.50 (~xuntil2p8(s174)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52047, 52043])).
% 10.00/7.50 tff(52049,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(52050,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s174) | xuntil2p8(s174) | (~until2p7(s174)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(52051,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s174) | xuntil2p8(s174) | (~until2p7(s174))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[52050, 52049])).
% 10.00/7.50 tff(52052,plain,
% 10.00/7.50 (xuntil2p8(s174) | (~until2p7(s174))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52051, 49280, 46627])).
% 10.00/7.50 tff(52053,plain,
% 10.00/7.50 (~until2p7(s174)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52052, 52048])).
% 10.00/7.50 tff(52054,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(52055,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s173, s174)) | until2p7(s174) | (~xuntil2p8(s173)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(52056,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s173, s174)) | until2p7(s174) | (~xuntil2p8(s173))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[52055, 52054])).
% 10.00/7.50 tff(52057,plain,
% 10.00/7.50 (until2p7(s174) | (~xuntil2p8(s173))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52056, 7537, 49295])).
% 10.00/7.50 tff(52058,plain,
% 10.00/7.50 (~xuntil2p8(s173)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52057, 52053])).
% 10.00/7.50 tff(52059,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(52060,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s173) | xuntil2p8(s173) | (~until2p7(s173)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(52061,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s173) | xuntil2p8(s173) | (~until2p7(s173))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[52060, 52059])).
% 10.00/7.50 tff(52062,plain,
% 10.00/7.50 (xuntil2p8(s173) | (~until2p7(s173))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52061, 49280, 46623])).
% 10.00/7.50 tff(52063,plain,
% 10.00/7.50 (~until2p7(s173)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52062, 52058])).
% 10.00/7.50 tff(52064,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(52065,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s172, s173)) | until2p7(s173) | (~xuntil2p8(s172)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(52066,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s172, s173)) | until2p7(s173) | (~xuntil2p8(s172))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[52065, 52064])).
% 10.00/7.50 tff(52067,plain,
% 10.00/7.50 (until2p7(s173) | (~xuntil2p8(s172))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52066, 7566, 49295])).
% 10.00/7.50 tff(52068,plain,
% 10.00/7.50 (~xuntil2p8(s172)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52067, 52063])).
% 10.00/7.50 tff(52069,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(52070,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s172) | xuntil2p8(s172) | (~until2p7(s172)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(52071,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s172) | xuntil2p8(s172) | (~until2p7(s172))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[52070, 52069])).
% 10.00/7.50 tff(52072,plain,
% 10.00/7.50 (xuntil2p8(s172) | (~until2p7(s172))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52071, 49280, 46619])).
% 10.00/7.50 tff(52073,plain,
% 10.00/7.50 (~until2p7(s172)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52072, 52068])).
% 10.00/7.50 tff(52074,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(52075,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s171, s172)) | until2p7(s172) | (~xuntil2p8(s171)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(52076,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s171, s172)) | until2p7(s172) | (~xuntil2p8(s171))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[52075, 52074])).
% 10.00/7.50 tff(52077,plain,
% 10.00/7.50 (until2p7(s172) | (~xuntil2p8(s171))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52076, 7595, 49295])).
% 10.00/7.50 tff(52078,plain,
% 10.00/7.50 (~xuntil2p8(s171)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52077, 52073])).
% 10.00/7.50 tff(52079,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(52080,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s171) | xuntil2p8(s171) | (~until2p7(s171)))),
% 10.00/7.50 inference(quant_inst,[status(thm)],[])).
% 10.00/7.50 tff(52081,plain,
% 10.00/7.50 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s171) | xuntil2p8(s171) | (~until2p7(s171))),
% 10.00/7.50 inference(modus_ponens,[status(thm)],[52080, 52079])).
% 10.00/7.50 tff(52082,plain,
% 10.00/7.50 (xuntil2p8(s171) | (~until2p7(s171))),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52081, 49280, 46615])).
% 10.00/7.50 tff(52083,plain,
% 10.00/7.50 (~until2p7(s171)),
% 10.00/7.50 inference(unit_resolution,[status(thm)],[52082, 52078])).
% 10.00/7.50 tff(52084,plain,
% 10.00/7.50 (((~![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)))),
% 10.00/7.50 inference(rewrite,[status(thm)],[])).
% 10.00/7.50 tff(52085,plain,
% 10.00/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s170, s171)) | until2p7(s171) | (~xuntil2p8(s170)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52086,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s170, s171)) | until2p7(s171) | (~xuntil2p8(s170))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52085, 52084])).
% 10.00/7.51 tff(52087,plain,
% 10.00/7.51 (until2p7(s171) | (~xuntil2p8(s170))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52086, 7624, 49295])).
% 10.00/7.51 tff(52088,plain,
% 10.00/7.51 (~xuntil2p8(s170)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52087, 52083])).
% 10.00/7.51 tff(52089,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52090,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s170) | xuntil2p8(s170) | (~until2p7(s170)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52091,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s170) | xuntil2p8(s170) | (~until2p7(s170))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52090, 52089])).
% 10.00/7.51 tff(52092,plain,
% 10.00/7.51 (xuntil2p8(s170) | (~until2p7(s170))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52091, 49280, 46611])).
% 10.00/7.51 tff(52093,plain,
% 10.00/7.51 (~until2p7(s170)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52092, 52088])).
% 10.00/7.51 tff(52094,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52095,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s169, s170)) | until2p7(s170) | (~xuntil2p8(s169)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52096,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s169, s170)) | until2p7(s170) | (~xuntil2p8(s169))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52095, 52094])).
% 10.00/7.51 tff(52097,plain,
% 10.00/7.51 (until2p7(s170) | (~xuntil2p8(s169))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52096, 7653, 49295])).
% 10.00/7.51 tff(52098,plain,
% 10.00/7.51 (~xuntil2p8(s169)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52097, 52093])).
% 10.00/7.51 tff(52099,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52100,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s169) | xuntil2p8(s169) | (~until2p7(s169)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52101,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s169) | xuntil2p8(s169) | (~until2p7(s169))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52100, 52099])).
% 10.00/7.51 tff(52102,plain,
% 10.00/7.51 (xuntil2p8(s169) | (~until2p7(s169))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52101, 49280, 46607])).
% 10.00/7.51 tff(52103,plain,
% 10.00/7.51 (~until2p7(s169)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52102, 52098])).
% 10.00/7.51 tff(52104,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52105,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s168, s169)) | until2p7(s169) | (~xuntil2p8(s168)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52106,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s168, s169)) | until2p7(s169) | (~xuntil2p8(s168))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52105, 52104])).
% 10.00/7.51 tff(52107,plain,
% 10.00/7.51 (until2p7(s169) | (~xuntil2p8(s168))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52106, 7682, 49295])).
% 10.00/7.51 tff(52108,plain,
% 10.00/7.51 (~xuntil2p8(s168)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52107, 52103])).
% 10.00/7.51 tff(52109,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52110,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s168) | xuntil2p8(s168) | (~until2p7(s168)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52111,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s168) | xuntil2p8(s168) | (~until2p7(s168))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52110, 52109])).
% 10.00/7.51 tff(52112,plain,
% 10.00/7.51 (xuntil2p8(s168) | (~until2p7(s168))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52111, 49280, 46603])).
% 10.00/7.51 tff(52113,plain,
% 10.00/7.51 (~until2p7(s168)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52112, 52108])).
% 10.00/7.51 tff(52114,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52115,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s167, s168)) | until2p7(s168) | (~xuntil2p8(s167)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52116,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s167, s168)) | until2p7(s168) | (~xuntil2p8(s167))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52115, 52114])).
% 10.00/7.51 tff(52117,plain,
% 10.00/7.51 (until2p7(s168) | (~xuntil2p8(s167))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52116, 7711, 49295])).
% 10.00/7.51 tff(52118,plain,
% 10.00/7.51 (~xuntil2p8(s167)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52117, 52113])).
% 10.00/7.51 tff(52119,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52120,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s167) | xuntil2p8(s167) | (~until2p7(s167)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52121,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s167) | xuntil2p8(s167) | (~until2p7(s167))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52120, 52119])).
% 10.00/7.51 tff(52122,plain,
% 10.00/7.51 (xuntil2p8(s167) | (~until2p7(s167))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52121, 49280, 46599])).
% 10.00/7.51 tff(52123,plain,
% 10.00/7.51 (~until2p7(s167)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52122, 52118])).
% 10.00/7.51 tff(52124,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52125,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s166, s167)) | until2p7(s167) | (~xuntil2p8(s166)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52126,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s166, s167)) | until2p7(s167) | (~xuntil2p8(s166))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52125, 52124])).
% 10.00/7.51 tff(52127,plain,
% 10.00/7.51 (until2p7(s167) | (~xuntil2p8(s166))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52126, 7740, 49295])).
% 10.00/7.51 tff(52128,plain,
% 10.00/7.51 (~xuntil2p8(s166)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52127, 52123])).
% 10.00/7.51 tff(52129,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52130,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s166) | xuntil2p8(s166) | (~until2p7(s166)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52131,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s166) | xuntil2p8(s166) | (~until2p7(s166))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52130, 52129])).
% 10.00/7.51 tff(52132,plain,
% 10.00/7.51 (xuntil2p8(s166) | (~until2p7(s166))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52131, 49280, 46595])).
% 10.00/7.51 tff(52133,plain,
% 10.00/7.51 (~until2p7(s166)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52132, 52128])).
% 10.00/7.51 tff(52134,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52135,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s165, s166)) | until2p7(s166) | (~xuntil2p8(s165)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52136,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s165, s166)) | until2p7(s166) | (~xuntil2p8(s165))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52135, 52134])).
% 10.00/7.51 tff(52137,plain,
% 10.00/7.51 (until2p7(s166) | (~xuntil2p8(s165))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52136, 7769, 49295])).
% 10.00/7.51 tff(52138,plain,
% 10.00/7.51 (~xuntil2p8(s165)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52137, 52133])).
% 10.00/7.51 tff(52139,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52140,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s165) | xuntil2p8(s165) | (~until2p7(s165)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52141,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s165) | xuntil2p8(s165) | (~until2p7(s165))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52140, 52139])).
% 10.00/7.51 tff(52142,plain,
% 10.00/7.51 (xuntil2p8(s165) | (~until2p7(s165))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52141, 49280, 46591])).
% 10.00/7.51 tff(52143,plain,
% 10.00/7.51 (~until2p7(s165)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52142, 52138])).
% 10.00/7.51 tff(52144,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52145,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s164, s165)) | until2p7(s165) | (~xuntil2p8(s164)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52146,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s164, s165)) | until2p7(s165) | (~xuntil2p8(s164))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52145, 52144])).
% 10.00/7.51 tff(52147,plain,
% 10.00/7.51 (until2p7(s165) | (~xuntil2p8(s164))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52146, 7798, 49295])).
% 10.00/7.51 tff(52148,plain,
% 10.00/7.51 (~xuntil2p8(s164)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52147, 52143])).
% 10.00/7.51 tff(52149,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52150,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s164) | xuntil2p8(s164) | (~until2p7(s164)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52151,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s164) | xuntil2p8(s164) | (~until2p7(s164))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52150, 52149])).
% 10.00/7.51 tff(52152,plain,
% 10.00/7.51 (xuntil2p8(s164) | (~until2p7(s164))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52151, 49280, 46587])).
% 10.00/7.51 tff(52153,plain,
% 10.00/7.51 (~until2p7(s164)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52152, 52148])).
% 10.00/7.51 tff(52154,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52155,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s163, s164)) | until2p7(s164) | (~xuntil2p8(s163)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52156,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s163, s164)) | until2p7(s164) | (~xuntil2p8(s163))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52155, 52154])).
% 10.00/7.51 tff(52157,plain,
% 10.00/7.51 (until2p7(s164) | (~xuntil2p8(s163))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52156, 7827, 49295])).
% 10.00/7.51 tff(52158,plain,
% 10.00/7.51 (~xuntil2p8(s163)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52157, 52153])).
% 10.00/7.51 tff(52159,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52160,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s163) | xuntil2p8(s163) | (~until2p7(s163)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52161,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s163) | xuntil2p8(s163) | (~until2p7(s163))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52160, 52159])).
% 10.00/7.51 tff(52162,plain,
% 10.00/7.51 (xuntil2p8(s163) | (~until2p7(s163))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52161, 49280, 46583])).
% 10.00/7.51 tff(52163,plain,
% 10.00/7.51 (~until2p7(s163)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52162, 52158])).
% 10.00/7.51 tff(52164,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52165,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s162, s163)) | until2p7(s163) | (~xuntil2p8(s162)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52166,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s162, s163)) | until2p7(s163) | (~xuntil2p8(s162))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52165, 52164])).
% 10.00/7.51 tff(52167,plain,
% 10.00/7.51 (until2p7(s163) | (~xuntil2p8(s162))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52166, 7856, 49295])).
% 10.00/7.51 tff(52168,plain,
% 10.00/7.51 (~xuntil2p8(s162)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52167, 52163])).
% 10.00/7.51 tff(52169,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52170,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s162) | xuntil2p8(s162) | (~until2p7(s162)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52171,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s162) | xuntil2p8(s162) | (~until2p7(s162))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52170, 52169])).
% 10.00/7.51 tff(52172,plain,
% 10.00/7.51 (xuntil2p8(s162) | (~until2p7(s162))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52171, 49280, 46579])).
% 10.00/7.51 tff(52173,plain,
% 10.00/7.51 (~until2p7(s162)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52172, 52168])).
% 10.00/7.51 tff(52174,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52175,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s161, s162)) | until2p7(s162) | (~xuntil2p8(s161)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52176,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s161, s162)) | until2p7(s162) | (~xuntil2p8(s161))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52175, 52174])).
% 10.00/7.51 tff(52177,plain,
% 10.00/7.51 (until2p7(s162) | (~xuntil2p8(s161))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52176, 7885, 49295])).
% 10.00/7.51 tff(52178,plain,
% 10.00/7.51 (~xuntil2p8(s161)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52177, 52173])).
% 10.00/7.51 tff(52179,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52180,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s161) | xuntil2p8(s161) | (~until2p7(s161)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52181,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s161) | xuntil2p8(s161) | (~until2p7(s161))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52180, 52179])).
% 10.00/7.51 tff(52182,plain,
% 10.00/7.51 (xuntil2p8(s161) | (~until2p7(s161))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52181, 49280, 46575])).
% 10.00/7.51 tff(52183,plain,
% 10.00/7.51 (~until2p7(s161)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52182, 52178])).
% 10.00/7.51 tff(52184,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52185,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s160, s161)) | until2p7(s161) | (~xuntil2p8(s160)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52186,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s160, s161)) | until2p7(s161) | (~xuntil2p8(s160))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52185, 52184])).
% 10.00/7.51 tff(52187,plain,
% 10.00/7.51 (until2p7(s161) | (~xuntil2p8(s160))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52186, 7914, 49295])).
% 10.00/7.51 tff(52188,plain,
% 10.00/7.51 (~xuntil2p8(s160)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52187, 52183])).
% 10.00/7.51 tff(52189,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52190,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s160) | xuntil2p8(s160) | (~until2p7(s160)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52191,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s160) | xuntil2p8(s160) | (~until2p7(s160))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52190, 52189])).
% 10.00/7.51 tff(52192,plain,
% 10.00/7.51 (xuntil2p8(s160) | (~until2p7(s160))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52191, 49280, 46571])).
% 10.00/7.51 tff(52193,plain,
% 10.00/7.51 (~until2p7(s160)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52192, 52188])).
% 10.00/7.51 tff(52194,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52195,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s159, s160)) | until2p7(s160) | (~xuntil2p8(s159)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52196,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s159, s160)) | until2p7(s160) | (~xuntil2p8(s159))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52195, 52194])).
% 10.00/7.51 tff(52197,plain,
% 10.00/7.51 (until2p7(s160) | (~xuntil2p8(s159))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52196, 7943, 49295])).
% 10.00/7.51 tff(52198,plain,
% 10.00/7.51 (~xuntil2p8(s159)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52197, 52193])).
% 10.00/7.51 tff(52199,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52200,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s159) | xuntil2p8(s159) | (~until2p7(s159)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52201,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s159) | xuntil2p8(s159) | (~until2p7(s159))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52200, 52199])).
% 10.00/7.51 tff(52202,plain,
% 10.00/7.51 (xuntil2p8(s159) | (~until2p7(s159))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52201, 49280, 46567])).
% 10.00/7.51 tff(52203,plain,
% 10.00/7.51 (~until2p7(s159)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52202, 52198])).
% 10.00/7.51 tff(52204,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52205,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s158, s159)) | until2p7(s159) | (~xuntil2p8(s158)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52206,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s158, s159)) | until2p7(s159) | (~xuntil2p8(s158))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52205, 52204])).
% 10.00/7.51 tff(52207,plain,
% 10.00/7.51 (until2p7(s159) | (~xuntil2p8(s158))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52206, 7972, 49295])).
% 10.00/7.51 tff(52208,plain,
% 10.00/7.51 (~xuntil2p8(s158)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52207, 52203])).
% 10.00/7.51 tff(52209,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52210,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s158) | xuntil2p8(s158) | (~until2p7(s158)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52211,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s158) | xuntil2p8(s158) | (~until2p7(s158))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52210, 52209])).
% 10.00/7.51 tff(52212,plain,
% 10.00/7.51 (xuntil2p8(s158) | (~until2p7(s158))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52211, 49280, 46563])).
% 10.00/7.51 tff(52213,plain,
% 10.00/7.51 (~until2p7(s158)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52212, 52208])).
% 10.00/7.51 tff(52214,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52215,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s157, s158)) | until2p7(s158) | (~xuntil2p8(s157)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52216,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s157, s158)) | until2p7(s158) | (~xuntil2p8(s157))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52215, 52214])).
% 10.00/7.51 tff(52217,plain,
% 10.00/7.51 (until2p7(s158) | (~xuntil2p8(s157))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52216, 8001, 49295])).
% 10.00/7.51 tff(52218,plain,
% 10.00/7.51 (~xuntil2p8(s157)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52217, 52213])).
% 10.00/7.51 tff(52219,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52220,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s157) | xuntil2p8(s157) | (~until2p7(s157)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52221,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s157) | xuntil2p8(s157) | (~until2p7(s157))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52220, 52219])).
% 10.00/7.51 tff(52222,plain,
% 10.00/7.51 (xuntil2p8(s157) | (~until2p7(s157))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52221, 49280, 46559])).
% 10.00/7.51 tff(52223,plain,
% 10.00/7.51 (~until2p7(s157)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52222, 52218])).
% 10.00/7.51 tff(52224,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52225,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s156, s157)) | until2p7(s157) | (~xuntil2p8(s156)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52226,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s156, s157)) | until2p7(s157) | (~xuntil2p8(s156))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52225, 52224])).
% 10.00/7.51 tff(52227,plain,
% 10.00/7.51 (until2p7(s157) | (~xuntil2p8(s156))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52226, 8030, 49295])).
% 10.00/7.51 tff(52228,plain,
% 10.00/7.51 (~xuntil2p8(s156)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52227, 52223])).
% 10.00/7.51 tff(52229,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52230,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s156) | xuntil2p8(s156) | (~until2p7(s156)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52231,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s156) | xuntil2p8(s156) | (~until2p7(s156))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52230, 52229])).
% 10.00/7.51 tff(52232,plain,
% 10.00/7.51 (xuntil2p8(s156) | (~until2p7(s156))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52231, 49280, 46555])).
% 10.00/7.51 tff(52233,plain,
% 10.00/7.51 (~until2p7(s156)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52232, 52228])).
% 10.00/7.51 tff(52234,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52235,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s155, s156)) | until2p7(s156) | (~xuntil2p8(s155)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52236,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s155, s156)) | until2p7(s156) | (~xuntil2p8(s155))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52235, 52234])).
% 10.00/7.51 tff(52237,plain,
% 10.00/7.51 (until2p7(s156) | (~xuntil2p8(s155))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52236, 8059, 49295])).
% 10.00/7.51 tff(52238,plain,
% 10.00/7.51 (~xuntil2p8(s155)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52237, 52233])).
% 10.00/7.51 tff(52239,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52240,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s155) | xuntil2p8(s155) | (~until2p7(s155)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52241,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s155) | xuntil2p8(s155) | (~until2p7(s155))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52240, 52239])).
% 10.00/7.51 tff(52242,plain,
% 10.00/7.51 (xuntil2p8(s155) | (~until2p7(s155))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52241, 49280, 46551])).
% 10.00/7.51 tff(52243,plain,
% 10.00/7.51 (~until2p7(s155)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52242, 52238])).
% 10.00/7.51 tff(52244,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52245,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s154, s155)) | until2p7(s155) | (~xuntil2p8(s154)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52246,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s154, s155)) | until2p7(s155) | (~xuntil2p8(s154))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52245, 52244])).
% 10.00/7.51 tff(52247,plain,
% 10.00/7.51 (until2p7(s155) | (~xuntil2p8(s154))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52246, 8088, 49295])).
% 10.00/7.51 tff(52248,plain,
% 10.00/7.51 (~xuntil2p8(s154)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52247, 52243])).
% 10.00/7.51 tff(52249,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52250,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s154) | xuntil2p8(s154) | (~until2p7(s154)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52251,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s154) | xuntil2p8(s154) | (~until2p7(s154))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52250, 52249])).
% 10.00/7.51 tff(52252,plain,
% 10.00/7.51 (xuntil2p8(s154) | (~until2p7(s154))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52251, 49280, 46547])).
% 10.00/7.51 tff(52253,plain,
% 10.00/7.51 (~until2p7(s154)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52252, 52248])).
% 10.00/7.51 tff(52254,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52255,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s153, s154)) | until2p7(s154) | (~xuntil2p8(s153)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52256,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s153, s154)) | until2p7(s154) | (~xuntil2p8(s153))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52255, 52254])).
% 10.00/7.51 tff(52257,plain,
% 10.00/7.51 (until2p7(s154) | (~xuntil2p8(s153))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52256, 8117, 49295])).
% 10.00/7.51 tff(52258,plain,
% 10.00/7.51 (~xuntil2p8(s153)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52257, 52253])).
% 10.00/7.51 tff(52259,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52260,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s153) | xuntil2p8(s153) | (~until2p7(s153)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52261,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s153) | xuntil2p8(s153) | (~until2p7(s153))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52260, 52259])).
% 10.00/7.51 tff(52262,plain,
% 10.00/7.51 (xuntil2p8(s153) | (~until2p7(s153))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52261, 49280, 46543])).
% 10.00/7.51 tff(52263,plain,
% 10.00/7.51 (~until2p7(s153)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52262, 52258])).
% 10.00/7.51 tff(52264,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52265,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s152, s153)) | until2p7(s153) | (~xuntil2p8(s152)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52266,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s152, s153)) | until2p7(s153) | (~xuntil2p8(s152))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52265, 52264])).
% 10.00/7.51 tff(52267,plain,
% 10.00/7.51 (until2p7(s153) | (~xuntil2p8(s152))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52266, 8146, 49295])).
% 10.00/7.51 tff(52268,plain,
% 10.00/7.51 (~xuntil2p8(s152)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52267, 52263])).
% 10.00/7.51 tff(52269,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52270,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s152) | xuntil2p8(s152) | (~until2p7(s152)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52271,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s152) | xuntil2p8(s152) | (~until2p7(s152))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52270, 52269])).
% 10.00/7.51 tff(52272,plain,
% 10.00/7.51 (xuntil2p8(s152) | (~until2p7(s152))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52271, 49280, 46539])).
% 10.00/7.51 tff(52273,plain,
% 10.00/7.51 (~until2p7(s152)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52272, 52268])).
% 10.00/7.51 tff(52274,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52275,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s151, s152)) | until2p7(s152) | (~xuntil2p8(s151)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52276,plain,
% 10.00/7.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s151, s152)) | until2p7(s152) | (~xuntil2p8(s151))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52275, 52274])).
% 10.00/7.51 tff(52277,plain,
% 10.00/7.51 (until2p7(s152) | (~xuntil2p8(s151))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52276, 8175, 49295])).
% 10.00/7.51 tff(52278,plain,
% 10.00/7.51 (~xuntil2p8(s151)),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52277, 52273])).
% 10.00/7.51 tff(52279,plain,
% 10.00/7.51 (((~![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)))),
% 10.00/7.51 inference(rewrite,[status(thm)],[])).
% 10.00/7.51 tff(52280,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s151) | xuntil2p8(s151) | (~until2p7(s151)))),
% 10.00/7.51 inference(quant_inst,[status(thm)],[])).
% 10.00/7.51 tff(52281,plain,
% 10.00/7.51 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s151) | xuntil2p8(s151) | (~until2p7(s151))),
% 10.00/7.51 inference(modus_ponens,[status(thm)],[52280, 52279])).
% 10.00/7.51 tff(52282,plain,
% 10.00/7.51 (xuntil2p8(s151) | (~until2p7(s151))),
% 10.00/7.51 inference(unit_resolution,[status(thm)],[52281, 49280, 46535])).
% 10.00/7.52 tff(52283,plain,
% 10.00/7.52 (~until2p7(s151)),
% 10.00/7.52 inference(unit_resolution,[status(thm)],[52282, 52278])).
% 10.00/7.52 tff(52284,plain,
% 10.00/7.52 (((~![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)))),
% 10.00/7.52 inference(rewrite,[status(thm)],[])).
% 10.00/7.52 tff(52285,plain,
% 10.00/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s150, s151)) | until2p7(s151) | (~xuntil2p8(s150)))),
% 10.00/7.52 inference(quant_inst,[status(thm)],[])).
% 10.00/7.52 tff(52286,plain,
% 10.00/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s150, s151)) | until2p7(s151) | (~xuntil2p8(s150))),
% 10.00/7.52 inference(modus_ponens,[status(thm)],[52285, 52284])).
% 10.00/7.52 tff(52287,plain,
% 10.00/7.52 (until2p7(s151) | (~xuntil2p8(s150))),
% 10.00/7.52 inference(unit_resolution,[status(thm)],[52286, 8204, 49295])).
% 10.00/7.52 tff(52288,plain,
% 10.00/7.52 (~xuntil2p8(s150)),
% 10.00/7.52 inference(unit_resolution,[status(thm)],[52287, 52283])).
% 10.00/7.52 tff(52289,plain,
% 10.00/7.52 (((~![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)))),
% 10.00/7.52 inference(rewrite,[status(thm)],[])).
% 10.00/7.52 tff(52290,plain,
% 10.00/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s150) | xuntil2p8(s150) | (~until2p7(s150)))),
% 10.00/7.52 inference(quant_inst,[status(thm)],[])).
% 10.00/7.52 tff(52291,plain,
% 10.00/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s150) | xuntil2p8(s150) | (~until2p7(s150))),
% 10.00/7.52 inference(modus_ponens,[status(thm)],[52290, 52289])).
% 10.00/7.52 tff(52292,plain,
% 10.00/7.52 (xuntil2p8(s150) | (~until2p7(s150))),
% 10.00/7.52 inference(unit_resolution,[status(thm)],[52291, 49280, 46531])).
% 10.00/7.52 tff(52293,plain,
% 10.00/7.52 (~until2p7(s150)),
% 10.00/7.52 inference(unit_resolution,[status(thm)],[52292, 52288])).
% 10.00/7.52 tff(52294,plain,
% 10.00/7.52 (((~![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)))),
% 10.00/7.52 inference(rewrite,[status(thm)],[])).
% 10.00/7.52 tff(52295,plain,
% 10.00/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s149, s150)) | until2p7(s150) | (~xuntil2p8(s149)))),
% 10.00/7.52 inference(quant_inst,[status(thm)],[])).
% 10.00/7.52 tff(52296,plain,
% 10.00/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s149, s150)) | until2p7(s150) | (~xuntil2p8(s149))),
% 10.00/7.52 inference(modus_ponens,[status(thm)],[52295, 52294])).
% 10.00/7.52 tff(52297,plain,
% 10.00/7.52 (until2p7(s150) | (~xuntil2p8(s149))),
% 10.00/7.52 inference(unit_resolution,[status(thm)],[52296, 8233, 49295])).
% 10.00/7.52 tff(52298,plain,
% 10.00/7.52 (~xuntil2p8(s149)),
% 10.00/7.52 inference(unit_resolution,[status(thm)],[52297, 52293])).
% 10.00/7.52 tff(52299,plain,
% 10.00/7.52 (((~![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)))),
% 10.00/7.52 inference(rewrite,[status(thm)],[])).
% 10.00/7.52 tff(52300,plain,
% 10.00/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s149) | xuntil2p8(s149) | (~until2p7(s149)))),
% 10.00/7.52 inference(quant_inst,[status(thm)],[])).
% 10.00/7.52 tff(52301,plain,
% 10.00/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s149) | xuntil2p8(s149) | (~until2p7(s149))),
% 10.00/7.52 inference(modus_ponens,[status(thm)],[52300, 52299])).
% 10.00/7.52 tff(52302,plain,
% 10.00/7.52 (xuntil2p8(s149) | (~until2p7(s149))),
% 10.00/7.52 inference(unit_resolution,[status(thm)],[52301, 49280, 46527])).
% 10.00/7.52 tff(52303,plain,
% 10.00/7.52 (~until2p7(s149)),
% 10.00/7.52 inference(unit_resolution,[status(thm)],[52302, 52298])).
% 10.00/7.52 tff(52304,plain,
% 10.00/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52305,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s148, s149)) | until2p7(s149) | (~xuntil2p8(s148)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52306,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s148, s149)) | until2p7(s149) | (~xuntil2p8(s148))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52305, 52304])).
% 10.08/7.52 tff(52307,plain,
% 10.08/7.52 (until2p7(s149) | (~xuntil2p8(s148))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52306, 8262, 49295])).
% 10.08/7.52 tff(52308,plain,
% 10.08/7.52 (~xuntil2p8(s148)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52307, 52303])).
% 10.08/7.52 tff(52309,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52310,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s148) | xuntil2p8(s148) | (~until2p7(s148)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52311,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s148) | xuntil2p8(s148) | (~until2p7(s148))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52310, 52309])).
% 10.08/7.52 tff(52312,plain,
% 10.08/7.52 (xuntil2p8(s148) | (~until2p7(s148))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52311, 49280, 46523])).
% 10.08/7.52 tff(52313,plain,
% 10.08/7.52 (~until2p7(s148)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52312, 52308])).
% 10.08/7.52 tff(52314,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52315,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s147, s148)) | until2p7(s148) | (~xuntil2p8(s147)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52316,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s147, s148)) | until2p7(s148) | (~xuntil2p8(s147))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52315, 52314])).
% 10.08/7.52 tff(52317,plain,
% 10.08/7.52 (until2p7(s148) | (~xuntil2p8(s147))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52316, 8291, 49295])).
% 10.08/7.52 tff(52318,plain,
% 10.08/7.52 (~xuntil2p8(s147)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52317, 52313])).
% 10.08/7.52 tff(52319,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52320,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s147) | xuntil2p8(s147) | (~until2p7(s147)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52321,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s147) | xuntil2p8(s147) | (~until2p7(s147))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52320, 52319])).
% 10.08/7.52 tff(52322,plain,
% 10.08/7.52 (xuntil2p8(s147) | (~until2p7(s147))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52321, 49280, 46519])).
% 10.08/7.52 tff(52323,plain,
% 10.08/7.52 (~until2p7(s147)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52322, 52318])).
% 10.08/7.52 tff(52324,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52325,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s146, s147)) | until2p7(s147) | (~xuntil2p8(s146)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52326,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s146, s147)) | until2p7(s147) | (~xuntil2p8(s146))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52325, 52324])).
% 10.08/7.52 tff(52327,plain,
% 10.08/7.52 (until2p7(s147) | (~xuntil2p8(s146))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52326, 8320, 49295])).
% 10.08/7.52 tff(52328,plain,
% 10.08/7.52 (~xuntil2p8(s146)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52327, 52323])).
% 10.08/7.52 tff(52329,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52330,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s146) | xuntil2p8(s146) | (~until2p7(s146)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52331,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s146) | xuntil2p8(s146) | (~until2p7(s146))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52330, 52329])).
% 10.08/7.52 tff(52332,plain,
% 10.08/7.52 (xuntil2p8(s146) | (~until2p7(s146))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52331, 49280, 46515])).
% 10.08/7.52 tff(52333,plain,
% 10.08/7.52 (~until2p7(s146)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52332, 52328])).
% 10.08/7.52 tff(52334,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52335,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s145, s146)) | until2p7(s146) | (~xuntil2p8(s145)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52336,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s145, s146)) | until2p7(s146) | (~xuntil2p8(s145))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52335, 52334])).
% 10.08/7.52 tff(52337,plain,
% 10.08/7.52 (until2p7(s146) | (~xuntil2p8(s145))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52336, 8349, 49295])).
% 10.08/7.52 tff(52338,plain,
% 10.08/7.52 (~xuntil2p8(s145)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52337, 52333])).
% 10.08/7.52 tff(52339,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52340,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s145) | xuntil2p8(s145) | (~until2p7(s145)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52341,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s145) | xuntil2p8(s145) | (~until2p7(s145))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52340, 52339])).
% 10.08/7.52 tff(52342,plain,
% 10.08/7.52 (xuntil2p8(s145) | (~until2p7(s145))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52341, 49280, 46511])).
% 10.08/7.52 tff(52343,plain,
% 10.08/7.52 (~until2p7(s145)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52342, 52338])).
% 10.08/7.52 tff(52344,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52345,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s144, s145)) | until2p7(s145) | (~xuntil2p8(s144)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52346,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s144, s145)) | until2p7(s145) | (~xuntil2p8(s144))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52345, 52344])).
% 10.08/7.52 tff(52347,plain,
% 10.08/7.52 (until2p7(s145) | (~xuntil2p8(s144))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52346, 8378, 49295])).
% 10.08/7.52 tff(52348,plain,
% 10.08/7.52 (~xuntil2p8(s144)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52347, 52343])).
% 10.08/7.52 tff(52349,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52350,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s144) | xuntil2p8(s144) | (~until2p7(s144)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52351,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s144) | xuntil2p8(s144) | (~until2p7(s144))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52350, 52349])).
% 10.08/7.52 tff(52352,plain,
% 10.08/7.52 (xuntil2p8(s144) | (~until2p7(s144))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52351, 49280, 46507])).
% 10.08/7.52 tff(52353,plain,
% 10.08/7.52 (~until2p7(s144)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52352, 52348])).
% 10.08/7.52 tff(52354,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52355,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s143, s144)) | until2p7(s144) | (~xuntil2p8(s143)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52356,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s143, s144)) | until2p7(s144) | (~xuntil2p8(s143))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52355, 52354])).
% 10.08/7.52 tff(52357,plain,
% 10.08/7.52 (until2p7(s144) | (~xuntil2p8(s143))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52356, 8407, 49295])).
% 10.08/7.52 tff(52358,plain,
% 10.08/7.52 (~xuntil2p8(s143)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52357, 52353])).
% 10.08/7.52 tff(52359,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52360,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s143) | xuntil2p8(s143) | (~until2p7(s143)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52361,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s143) | xuntil2p8(s143) | (~until2p7(s143))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52360, 52359])).
% 10.08/7.52 tff(52362,plain,
% 10.08/7.52 (xuntil2p8(s143) | (~until2p7(s143))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52361, 49280, 46503])).
% 10.08/7.52 tff(52363,plain,
% 10.08/7.52 (~until2p7(s143)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52362, 52358])).
% 10.08/7.52 tff(52364,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52365,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s142, s143)) | until2p7(s143) | (~xuntil2p8(s142)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52366,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s142, s143)) | until2p7(s143) | (~xuntil2p8(s142))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52365, 52364])).
% 10.08/7.52 tff(52367,plain,
% 10.08/7.52 (until2p7(s143) | (~xuntil2p8(s142))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52366, 8436, 49295])).
% 10.08/7.52 tff(52368,plain,
% 10.08/7.52 (~xuntil2p8(s142)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52367, 52363])).
% 10.08/7.52 tff(52369,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52370,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s142) | xuntil2p8(s142) | (~until2p7(s142)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52371,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s142) | xuntil2p8(s142) | (~until2p7(s142))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52370, 52369])).
% 10.08/7.52 tff(52372,plain,
% 10.08/7.52 (xuntil2p8(s142) | (~until2p7(s142))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52371, 49280, 46499])).
% 10.08/7.52 tff(52373,plain,
% 10.08/7.52 (~until2p7(s142)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52372, 52368])).
% 10.08/7.52 tff(52374,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52375,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s141, s142)) | until2p7(s142) | (~xuntil2p8(s141)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52376,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s141, s142)) | until2p7(s142) | (~xuntil2p8(s141))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52375, 52374])).
% 10.08/7.52 tff(52377,plain,
% 10.08/7.52 (until2p7(s142) | (~xuntil2p8(s141))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52376, 8465, 49295])).
% 10.08/7.52 tff(52378,plain,
% 10.08/7.52 (~xuntil2p8(s141)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52377, 52373])).
% 10.08/7.52 tff(52379,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52380,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s141) | xuntil2p8(s141) | (~until2p7(s141)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52381,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s141) | xuntil2p8(s141) | (~until2p7(s141))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52380, 52379])).
% 10.08/7.52 tff(52382,plain,
% 10.08/7.52 (xuntil2p8(s141) | (~until2p7(s141))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52381, 49280, 46495])).
% 10.08/7.52 tff(52383,plain,
% 10.08/7.52 (~until2p7(s141)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52382, 52378])).
% 10.08/7.52 tff(52384,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52385,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s140, s141)) | until2p7(s141) | (~xuntil2p8(s140)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52386,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s140, s141)) | until2p7(s141) | (~xuntil2p8(s140))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52385, 52384])).
% 10.08/7.52 tff(52387,plain,
% 10.08/7.52 (until2p7(s141) | (~xuntil2p8(s140))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52386, 8494, 49295])).
% 10.08/7.52 tff(52388,plain,
% 10.08/7.52 (~xuntil2p8(s140)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52387, 52383])).
% 10.08/7.52 tff(52389,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52390,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s140) | xuntil2p8(s140) | (~until2p7(s140)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52391,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s140) | xuntil2p8(s140) | (~until2p7(s140))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52390, 52389])).
% 10.08/7.52 tff(52392,plain,
% 10.08/7.52 (xuntil2p8(s140) | (~until2p7(s140))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52391, 49280, 46491])).
% 10.08/7.52 tff(52393,plain,
% 10.08/7.52 (~until2p7(s140)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52392, 52388])).
% 10.08/7.52 tff(52394,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52395,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s139, s140)) | until2p7(s140) | (~xuntil2p8(s139)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52396,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s139, s140)) | until2p7(s140) | (~xuntil2p8(s139))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52395, 52394])).
% 10.08/7.52 tff(52397,plain,
% 10.08/7.52 (until2p7(s140) | (~xuntil2p8(s139))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52396, 8523, 49295])).
% 10.08/7.52 tff(52398,plain,
% 10.08/7.52 (~xuntil2p8(s139)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52397, 52393])).
% 10.08/7.52 tff(52399,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52400,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s139) | xuntil2p8(s139) | (~until2p7(s139)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52401,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s139) | xuntil2p8(s139) | (~until2p7(s139))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52400, 52399])).
% 10.08/7.52 tff(52402,plain,
% 10.08/7.52 (xuntil2p8(s139) | (~until2p7(s139))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52401, 49280, 46487])).
% 10.08/7.52 tff(52403,plain,
% 10.08/7.52 (~until2p7(s139)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52402, 52398])).
% 10.08/7.52 tff(52404,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52405,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s138, s139)) | until2p7(s139) | (~xuntil2p8(s138)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52406,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s138, s139)) | until2p7(s139) | (~xuntil2p8(s138))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52405, 52404])).
% 10.08/7.52 tff(52407,plain,
% 10.08/7.52 (until2p7(s139) | (~xuntil2p8(s138))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52406, 8552, 49295])).
% 10.08/7.52 tff(52408,plain,
% 10.08/7.52 (~xuntil2p8(s138)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52407, 52403])).
% 10.08/7.52 tff(52409,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52410,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s138) | xuntil2p8(s138) | (~until2p7(s138)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52411,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s138) | xuntil2p8(s138) | (~until2p7(s138))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52410, 52409])).
% 10.08/7.52 tff(52412,plain,
% 10.08/7.52 (xuntil2p8(s138) | (~until2p7(s138))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52411, 49280, 46483])).
% 10.08/7.52 tff(52413,plain,
% 10.08/7.52 (~until2p7(s138)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52412, 52408])).
% 10.08/7.52 tff(52414,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52415,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s137, s138)) | until2p7(s138) | (~xuntil2p8(s137)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52416,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s137, s138)) | until2p7(s138) | (~xuntil2p8(s137))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52415, 52414])).
% 10.08/7.52 tff(52417,plain,
% 10.08/7.52 (until2p7(s138) | (~xuntil2p8(s137))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52416, 8581, 49295])).
% 10.08/7.52 tff(52418,plain,
% 10.08/7.52 (~xuntil2p8(s137)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52417, 52413])).
% 10.08/7.52 tff(52419,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52420,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s137) | xuntil2p8(s137) | (~until2p7(s137)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52421,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s137) | xuntil2p8(s137) | (~until2p7(s137))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52420, 52419])).
% 10.08/7.52 tff(52422,plain,
% 10.08/7.52 (xuntil2p8(s137) | (~until2p7(s137))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52421, 49280, 46479])).
% 10.08/7.52 tff(52423,plain,
% 10.08/7.52 (~until2p7(s137)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52422, 52418])).
% 10.08/7.52 tff(52424,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52425,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s136, s137)) | until2p7(s137) | (~xuntil2p8(s136)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52426,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s136, s137)) | until2p7(s137) | (~xuntil2p8(s136))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52425, 52424])).
% 10.08/7.52 tff(52427,plain,
% 10.08/7.52 (until2p7(s137) | (~xuntil2p8(s136))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52426, 8610, 49295])).
% 10.08/7.52 tff(52428,plain,
% 10.08/7.52 (~xuntil2p8(s136)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52427, 52423])).
% 10.08/7.52 tff(52429,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52430,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s136) | xuntil2p8(s136) | (~until2p7(s136)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52431,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s136) | xuntil2p8(s136) | (~until2p7(s136))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52430, 52429])).
% 10.08/7.52 tff(52432,plain,
% 10.08/7.52 (xuntil2p8(s136) | (~until2p7(s136))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52431, 49280, 46475])).
% 10.08/7.52 tff(52433,plain,
% 10.08/7.52 (~until2p7(s136)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52432, 52428])).
% 10.08/7.52 tff(52434,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52435,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s135, s136)) | until2p7(s136) | (~xuntil2p8(s135)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52436,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s135, s136)) | until2p7(s136) | (~xuntil2p8(s135))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52435, 52434])).
% 10.08/7.52 tff(52437,plain,
% 10.08/7.52 (until2p7(s136) | (~xuntil2p8(s135))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52436, 8622, 49295])).
% 10.08/7.52 tff(52438,plain,
% 10.08/7.52 (~xuntil2p8(s135)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52437, 52433])).
% 10.08/7.52 tff(52439,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52440,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s135) | xuntil2p8(s135) | (~until2p7(s135)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52441,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s135) | xuntil2p8(s135) | (~until2p7(s135))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52440, 52439])).
% 10.08/7.52 tff(52442,plain,
% 10.08/7.52 (xuntil2p8(s135) | (~until2p7(s135))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52441, 49280, 46471])).
% 10.08/7.52 tff(52443,plain,
% 10.08/7.52 (~until2p7(s135)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52442, 52438])).
% 10.08/7.52 tff(52444,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52445,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s134, s135)) | until2p7(s135) | (~xuntil2p8(s134)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52446,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s134, s135)) | until2p7(s135) | (~xuntil2p8(s134))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52445, 52444])).
% 10.08/7.52 tff(52447,plain,
% 10.08/7.52 (until2p7(s135) | (~xuntil2p8(s134))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52446, 8634, 49295])).
% 10.08/7.52 tff(52448,plain,
% 10.08/7.52 (~xuntil2p8(s134)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52447, 52443])).
% 10.08/7.52 tff(52449,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52450,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s134) | xuntil2p8(s134) | (~until2p7(s134)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52451,plain,
% 10.08/7.52 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s134) | xuntil2p8(s134) | (~until2p7(s134))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52450, 52449])).
% 10.08/7.52 tff(52452,plain,
% 10.08/7.52 (xuntil2p8(s134) | (~until2p7(s134))),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52451, 49280, 46467])).
% 10.08/7.52 tff(52453,plain,
% 10.08/7.52 (~until2p7(s134)),
% 10.08/7.52 inference(unit_resolution,[status(thm)],[52452, 52448])).
% 10.08/7.52 tff(52454,plain,
% 10.08/7.52 (((~![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)))),
% 10.08/7.52 inference(rewrite,[status(thm)],[])).
% 10.08/7.52 tff(52455,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s133, s134)) | until2p7(s134) | (~xuntil2p8(s133)))),
% 10.08/7.52 inference(quant_inst,[status(thm)],[])).
% 10.08/7.52 tff(52456,plain,
% 10.08/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s133, s134)) | until2p7(s134) | (~xuntil2p8(s133))),
% 10.08/7.52 inference(modus_ponens,[status(thm)],[52455, 52454])).
% 10.08/7.52 tff(52457,plain,
% 10.08/7.52 (until2p7(s134) | (~xuntil2p8(s133))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52456, 8646, 49295])).
% 10.08/7.53 tff(52458,plain,
% 10.08/7.53 (~xuntil2p8(s133)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52457, 52453])).
% 10.08/7.53 tff(52459,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52460,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s133) | xuntil2p8(s133) | (~until2p7(s133)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52461,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s133) | xuntil2p8(s133) | (~until2p7(s133))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52460, 52459])).
% 10.08/7.53 tff(52462,plain,
% 10.08/7.53 (xuntil2p8(s133) | (~until2p7(s133))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52461, 49280, 46463])).
% 10.08/7.53 tff(52463,plain,
% 10.08/7.53 (~until2p7(s133)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52462, 52458])).
% 10.08/7.53 tff(52464,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52465,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s132, s133)) | until2p7(s133) | (~xuntil2p8(s132)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52466,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s132, s133)) | until2p7(s133) | (~xuntil2p8(s132))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52465, 52464])).
% 10.08/7.53 tff(52467,plain,
% 10.08/7.53 (until2p7(s133) | (~xuntil2p8(s132))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52466, 8658, 49295])).
% 10.08/7.53 tff(52468,plain,
% 10.08/7.53 (~xuntil2p8(s132)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52467, 52463])).
% 10.08/7.53 tff(52469,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52470,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s132) | xuntil2p8(s132) | (~until2p7(s132)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52471,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s132) | xuntil2p8(s132) | (~until2p7(s132))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52470, 52469])).
% 10.08/7.53 tff(52472,plain,
% 10.08/7.53 (xuntil2p8(s132) | (~until2p7(s132))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52471, 49280, 46459])).
% 10.08/7.53 tff(52473,plain,
% 10.08/7.53 (~until2p7(s132)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52472, 52468])).
% 10.08/7.53 tff(52474,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52475,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s131, s132)) | until2p7(s132) | (~xuntil2p8(s131)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52476,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s131, s132)) | until2p7(s132) | (~xuntil2p8(s131))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52475, 52474])).
% 10.08/7.53 tff(52477,plain,
% 10.08/7.53 (until2p7(s132) | (~xuntil2p8(s131))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52476, 8670, 49295])).
% 10.08/7.53 tff(52478,plain,
% 10.08/7.53 (~xuntil2p8(s131)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52477, 52473])).
% 10.08/7.53 tff(52479,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52480,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s131) | xuntil2p8(s131) | (~until2p7(s131)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52481,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s131) | xuntil2p8(s131) | (~until2p7(s131))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52480, 52479])).
% 10.08/7.53 tff(52482,plain,
% 10.08/7.53 (xuntil2p8(s131) | (~until2p7(s131))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52481, 49280, 46455])).
% 10.08/7.53 tff(52483,plain,
% 10.08/7.53 (~until2p7(s131)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52482, 52478])).
% 10.08/7.53 tff(52484,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52485,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s130, s131)) | until2p7(s131) | (~xuntil2p8(s130)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52486,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s130, s131)) | until2p7(s131) | (~xuntil2p8(s130))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52485, 52484])).
% 10.08/7.53 tff(52487,plain,
% 10.08/7.53 (until2p7(s131) | (~xuntil2p8(s130))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52486, 8682, 49295])).
% 10.08/7.53 tff(52488,plain,
% 10.08/7.53 (~xuntil2p8(s130)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52487, 52483])).
% 10.08/7.53 tff(52489,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52490,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s130) | xuntil2p8(s130) | (~until2p7(s130)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52491,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s130) | xuntil2p8(s130) | (~until2p7(s130))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52490, 52489])).
% 10.08/7.53 tff(52492,plain,
% 10.08/7.53 (xuntil2p8(s130) | (~until2p7(s130))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52491, 49280, 46451])).
% 10.08/7.53 tff(52493,plain,
% 10.08/7.53 (~until2p7(s130)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52492, 52488])).
% 10.08/7.53 tff(52494,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52495,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s129, s130)) | until2p7(s130) | (~xuntil2p8(s129)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52496,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s129, s130)) | until2p7(s130) | (~xuntil2p8(s129))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52495, 52494])).
% 10.08/7.53 tff(52497,plain,
% 10.08/7.53 (until2p7(s130) | (~xuntil2p8(s129))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52496, 8694, 49295])).
% 10.08/7.53 tff(52498,plain,
% 10.08/7.53 (~xuntil2p8(s129)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52497, 52493])).
% 10.08/7.53 tff(52499,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52500,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s129) | xuntil2p8(s129) | (~until2p7(s129)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52501,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s129) | xuntil2p8(s129) | (~until2p7(s129))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52500, 52499])).
% 10.08/7.53 tff(52502,plain,
% 10.08/7.53 (xuntil2p8(s129) | (~until2p7(s129))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52501, 49280, 46447])).
% 10.08/7.53 tff(52503,plain,
% 10.08/7.53 (~until2p7(s129)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52502, 52498])).
% 10.08/7.53 tff(52504,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52505,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s128, s129)) | until2p7(s129) | (~xuntil2p8(s128)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52506,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s128, s129)) | until2p7(s129) | (~xuntil2p8(s128))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52505, 52504])).
% 10.08/7.53 tff(52507,plain,
% 10.08/7.53 (until2p7(s129) | (~xuntil2p8(s128))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52506, 8706, 49295])).
% 10.08/7.53 tff(52508,plain,
% 10.08/7.53 (~xuntil2p8(s128)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52507, 52503])).
% 10.08/7.53 tff(52509,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52510,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s128) | xuntil2p8(s128) | (~until2p7(s128)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52511,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s128) | xuntil2p8(s128) | (~until2p7(s128))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52510, 52509])).
% 10.08/7.53 tff(52512,plain,
% 10.08/7.53 (xuntil2p8(s128) | (~until2p7(s128))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52511, 49280, 46443])).
% 10.08/7.53 tff(52513,plain,
% 10.08/7.53 (~until2p7(s128)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52512, 52508])).
% 10.08/7.53 tff(52514,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52515,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s127, s128)) | until2p7(s128) | (~xuntil2p8(s127)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52516,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s127, s128)) | until2p7(s128) | (~xuntil2p8(s127))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52515, 52514])).
% 10.08/7.53 tff(52517,plain,
% 10.08/7.53 (until2p7(s128) | (~xuntil2p8(s127))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52516, 8718, 49295])).
% 10.08/7.53 tff(52518,plain,
% 10.08/7.53 (~xuntil2p8(s127)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52517, 52513])).
% 10.08/7.53 tff(52519,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52520,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s127) | xuntil2p8(s127) | (~until2p7(s127)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52521,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s127) | xuntil2p8(s127) | (~until2p7(s127))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52520, 52519])).
% 10.08/7.53 tff(52522,plain,
% 10.08/7.53 (xuntil2p8(s127) | (~until2p7(s127))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52521, 49280, 46439])).
% 10.08/7.53 tff(52523,plain,
% 10.08/7.53 (~until2p7(s127)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52522, 52518])).
% 10.08/7.53 tff(52524,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52525,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s126, s127)) | until2p7(s127) | (~xuntil2p8(s126)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52526,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s126, s127)) | until2p7(s127) | (~xuntil2p8(s126))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52525, 52524])).
% 10.08/7.53 tff(52527,plain,
% 10.08/7.53 (until2p7(s127) | (~xuntil2p8(s126))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52526, 8730, 49295])).
% 10.08/7.53 tff(52528,plain,
% 10.08/7.53 (~xuntil2p8(s126)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52527, 52523])).
% 10.08/7.53 tff(52529,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52530,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s126) | xuntil2p8(s126) | (~until2p7(s126)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52531,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s126) | xuntil2p8(s126) | (~until2p7(s126))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52530, 52529])).
% 10.08/7.53 tff(52532,plain,
% 10.08/7.53 (xuntil2p8(s126) | (~until2p7(s126))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52531, 49280, 46435])).
% 10.08/7.53 tff(52533,plain,
% 10.08/7.53 (~until2p7(s126)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52532, 52528])).
% 10.08/7.53 tff(52534,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52535,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s125, s126)) | until2p7(s126) | (~xuntil2p8(s125)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52536,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s125, s126)) | until2p7(s126) | (~xuntil2p8(s125))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52535, 52534])).
% 10.08/7.53 tff(52537,plain,
% 10.08/7.53 (until2p7(s126) | (~xuntil2p8(s125))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52536, 8742, 49295])).
% 10.08/7.53 tff(52538,plain,
% 10.08/7.53 (~xuntil2p8(s125)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52537, 52533])).
% 10.08/7.53 tff(52539,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52540,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s125) | xuntil2p8(s125) | (~until2p7(s125)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52541,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s125) | xuntil2p8(s125) | (~until2p7(s125))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52540, 52539])).
% 10.08/7.53 tff(52542,plain,
% 10.08/7.53 (xuntil2p8(s125) | (~until2p7(s125))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52541, 49280, 46431])).
% 10.08/7.53 tff(52543,plain,
% 10.08/7.53 (~until2p7(s125)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52542, 52538])).
% 10.08/7.53 tff(52544,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52545,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s124, s125)) | until2p7(s125) | (~xuntil2p8(s124)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52546,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s124, s125)) | until2p7(s125) | (~xuntil2p8(s124))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52545, 52544])).
% 10.08/7.53 tff(52547,plain,
% 10.08/7.53 (until2p7(s125) | (~xuntil2p8(s124))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52546, 8754, 49295])).
% 10.08/7.53 tff(52548,plain,
% 10.08/7.53 (~xuntil2p8(s124)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52547, 52543])).
% 10.08/7.53 tff(52549,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52550,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s124) | xuntil2p8(s124) | (~until2p7(s124)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52551,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s124) | xuntil2p8(s124) | (~until2p7(s124))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52550, 52549])).
% 10.08/7.53 tff(52552,plain,
% 10.08/7.53 (xuntil2p8(s124) | (~until2p7(s124))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52551, 49280, 46427])).
% 10.08/7.53 tff(52553,plain,
% 10.08/7.53 (~until2p7(s124)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52552, 52548])).
% 10.08/7.53 tff(52554,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52555,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s123, s124)) | until2p7(s124) | (~xuntil2p8(s123)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52556,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s123, s124)) | until2p7(s124) | (~xuntil2p8(s123))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52555, 52554])).
% 10.08/7.53 tff(52557,plain,
% 10.08/7.53 (until2p7(s124) | (~xuntil2p8(s123))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52556, 8766, 49295])).
% 10.08/7.53 tff(52558,plain,
% 10.08/7.53 (~xuntil2p8(s123)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52557, 52553])).
% 10.08/7.53 tff(52559,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52560,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s123) | xuntil2p8(s123) | (~until2p7(s123)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52561,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s123) | xuntil2p8(s123) | (~until2p7(s123))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52560, 52559])).
% 10.08/7.53 tff(52562,plain,
% 10.08/7.53 (xuntil2p8(s123) | (~until2p7(s123))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52561, 49280, 46423])).
% 10.08/7.53 tff(52563,plain,
% 10.08/7.53 (~until2p7(s123)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52562, 52558])).
% 10.08/7.53 tff(52564,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52565,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s122, s123)) | until2p7(s123) | (~xuntil2p8(s122)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52566,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s122, s123)) | until2p7(s123) | (~xuntil2p8(s122))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52565, 52564])).
% 10.08/7.53 tff(52567,plain,
% 10.08/7.53 (until2p7(s123) | (~xuntil2p8(s122))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52566, 8778, 49295])).
% 10.08/7.53 tff(52568,plain,
% 10.08/7.53 (~xuntil2p8(s122)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52567, 52563])).
% 10.08/7.53 tff(52569,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52570,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s122) | xuntil2p8(s122) | (~until2p7(s122)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52571,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s122) | xuntil2p8(s122) | (~until2p7(s122))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52570, 52569])).
% 10.08/7.53 tff(52572,plain,
% 10.08/7.53 (xuntil2p8(s122) | (~until2p7(s122))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52571, 49280, 46419])).
% 10.08/7.53 tff(52573,plain,
% 10.08/7.53 (~until2p7(s122)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52572, 52568])).
% 10.08/7.53 tff(52574,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52575,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s121, s122)) | until2p7(s122) | (~xuntil2p8(s121)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52576,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s121, s122)) | until2p7(s122) | (~xuntil2p8(s121))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52575, 52574])).
% 10.08/7.53 tff(52577,plain,
% 10.08/7.53 (until2p7(s122) | (~xuntil2p8(s121))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52576, 8790, 49295])).
% 10.08/7.53 tff(52578,plain,
% 10.08/7.53 (~xuntil2p8(s121)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52577, 52573])).
% 10.08/7.53 tff(52579,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52580,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s121) | xuntil2p8(s121) | (~until2p7(s121)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52581,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s121) | xuntil2p8(s121) | (~until2p7(s121))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52580, 52579])).
% 10.08/7.53 tff(52582,plain,
% 10.08/7.53 (xuntil2p8(s121) | (~until2p7(s121))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52581, 49280, 46415])).
% 10.08/7.53 tff(52583,plain,
% 10.08/7.53 (~until2p7(s121)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52582, 52578])).
% 10.08/7.53 tff(52584,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52585,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s120, s121)) | until2p7(s121) | (~xuntil2p8(s120)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52586,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s120, s121)) | until2p7(s121) | (~xuntil2p8(s120))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52585, 52584])).
% 10.08/7.53 tff(52587,plain,
% 10.08/7.53 (until2p7(s121) | (~xuntil2p8(s120))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52586, 8802, 49295])).
% 10.08/7.53 tff(52588,plain,
% 10.08/7.53 (~xuntil2p8(s120)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52587, 52583])).
% 10.08/7.53 tff(52589,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52590,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s120) | xuntil2p8(s120) | (~until2p7(s120)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52591,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s120) | xuntil2p8(s120) | (~until2p7(s120))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52590, 52589])).
% 10.08/7.53 tff(52592,plain,
% 10.08/7.53 (xuntil2p8(s120) | (~until2p7(s120))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52591, 49280, 46411])).
% 10.08/7.53 tff(52593,plain,
% 10.08/7.53 (~until2p7(s120)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52592, 52588])).
% 10.08/7.53 tff(52594,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52595,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s119, s120)) | until2p7(s120) | (~xuntil2p8(s119)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52596,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s119, s120)) | until2p7(s120) | (~xuntil2p8(s119))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52595, 52594])).
% 10.08/7.53 tff(52597,plain,
% 10.08/7.53 (until2p7(s120) | (~xuntil2p8(s119))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52596, 8814, 49295])).
% 10.08/7.53 tff(52598,plain,
% 10.08/7.53 (~xuntil2p8(s119)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52597, 52593])).
% 10.08/7.53 tff(52599,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52600,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s119) | xuntil2p8(s119) | (~until2p7(s119)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52601,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s119) | xuntil2p8(s119) | (~until2p7(s119))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52600, 52599])).
% 10.08/7.53 tff(52602,plain,
% 10.08/7.53 (xuntil2p8(s119) | (~until2p7(s119))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52601, 49280, 46407])).
% 10.08/7.53 tff(52603,plain,
% 10.08/7.53 (~until2p7(s119)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52602, 52598])).
% 10.08/7.53 tff(52604,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52605,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s118, s119)) | until2p7(s119) | (~xuntil2p8(s118)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52606,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s118, s119)) | until2p7(s119) | (~xuntil2p8(s118))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52605, 52604])).
% 10.08/7.53 tff(52607,plain,
% 10.08/7.53 (until2p7(s119) | (~xuntil2p8(s118))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52606, 8826, 49295])).
% 10.08/7.53 tff(52608,plain,
% 10.08/7.53 (~xuntil2p8(s118)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52607, 52603])).
% 10.08/7.53 tff(52609,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52610,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s118) | xuntil2p8(s118) | (~until2p7(s118)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52611,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s118) | xuntil2p8(s118) | (~until2p7(s118))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52610, 52609])).
% 10.08/7.53 tff(52612,plain,
% 10.08/7.53 (xuntil2p8(s118) | (~until2p7(s118))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52611, 49280, 46403])).
% 10.08/7.53 tff(52613,plain,
% 10.08/7.53 (~until2p7(s118)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52612, 52608])).
% 10.08/7.53 tff(52614,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52615,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s117, s118)) | until2p7(s118) | (~xuntil2p8(s117)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52616,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s117, s118)) | until2p7(s118) | (~xuntil2p8(s117))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52615, 52614])).
% 10.08/7.53 tff(52617,plain,
% 10.08/7.53 (until2p7(s118) | (~xuntil2p8(s117))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52616, 8838, 49295])).
% 10.08/7.53 tff(52618,plain,
% 10.08/7.53 (~xuntil2p8(s117)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52617, 52613])).
% 10.08/7.53 tff(52619,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52620,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s117) | xuntil2p8(s117) | (~until2p7(s117)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52621,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s117) | xuntil2p8(s117) | (~until2p7(s117))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52620, 52619])).
% 10.08/7.53 tff(52622,plain,
% 10.08/7.53 (xuntil2p8(s117) | (~until2p7(s117))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52621, 49280, 46399])).
% 10.08/7.53 tff(52623,plain,
% 10.08/7.53 (~until2p7(s117)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52622, 52618])).
% 10.08/7.53 tff(52624,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52625,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s116, s117)) | until2p7(s117) | (~xuntil2p8(s116)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52626,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s116, s117)) | until2p7(s117) | (~xuntil2p8(s116))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52625, 52624])).
% 10.08/7.53 tff(52627,plain,
% 10.08/7.53 (until2p7(s117) | (~xuntil2p8(s116))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52626, 8850, 49295])).
% 10.08/7.53 tff(52628,plain,
% 10.08/7.53 (~xuntil2p8(s116)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52627, 52623])).
% 10.08/7.53 tff(52629,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52630,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s116) | xuntil2p8(s116) | (~until2p7(s116)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52631,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s116) | xuntil2p8(s116) | (~until2p7(s116))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52630, 52629])).
% 10.08/7.53 tff(52632,plain,
% 10.08/7.53 (xuntil2p8(s116) | (~until2p7(s116))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52631, 49280, 46395])).
% 10.08/7.53 tff(52633,plain,
% 10.08/7.53 (~until2p7(s116)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52632, 52628])).
% 10.08/7.53 tff(52634,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52635,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s115, s116)) | until2p7(s116) | (~xuntil2p8(s115)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52636,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s115, s116)) | until2p7(s116) | (~xuntil2p8(s115))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52635, 52634])).
% 10.08/7.53 tff(52637,plain,
% 10.08/7.53 (until2p7(s116) | (~xuntil2p8(s115))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52636, 8862, 49295])).
% 10.08/7.53 tff(52638,plain,
% 10.08/7.53 (~xuntil2p8(s115)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52637, 52633])).
% 10.08/7.53 tff(52639,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52640,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s115) | xuntil2p8(s115) | (~until2p7(s115)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52641,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s115) | xuntil2p8(s115) | (~until2p7(s115))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52640, 52639])).
% 10.08/7.53 tff(52642,plain,
% 10.08/7.53 (xuntil2p8(s115) | (~until2p7(s115))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52641, 49280, 46391])).
% 10.08/7.53 tff(52643,plain,
% 10.08/7.53 (~until2p7(s115)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52642, 52638])).
% 10.08/7.53 tff(52644,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52645,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s114, s115)) | until2p7(s115) | (~xuntil2p8(s114)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52646,plain,
% 10.08/7.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s114, s115)) | until2p7(s115) | (~xuntil2p8(s114))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52645, 52644])).
% 10.08/7.53 tff(52647,plain,
% 10.08/7.53 (until2p7(s115) | (~xuntil2p8(s114))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52646, 8874, 49295])).
% 10.08/7.53 tff(52648,plain,
% 10.08/7.53 (~xuntil2p8(s114)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52647, 52643])).
% 10.08/7.53 tff(52649,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.53 inference(rewrite,[status(thm)],[])).
% 10.08/7.53 tff(52650,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s114) | xuntil2p8(s114) | (~until2p7(s114)))),
% 10.08/7.53 inference(quant_inst,[status(thm)],[])).
% 10.08/7.53 tff(52651,plain,
% 10.08/7.53 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s114) | xuntil2p8(s114) | (~until2p7(s114))),
% 10.08/7.53 inference(modus_ponens,[status(thm)],[52650, 52649])).
% 10.08/7.53 tff(52652,plain,
% 10.08/7.53 (xuntil2p8(s114) | (~until2p7(s114))),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52651, 49280, 46387])).
% 10.08/7.53 tff(52653,plain,
% 10.08/7.53 (~until2p7(s114)),
% 10.08/7.53 inference(unit_resolution,[status(thm)],[52652, 52648])).
% 10.08/7.53 tff(52654,plain,
% 10.08/7.53 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52655,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s113, s114)) | until2p7(s114) | (~xuntil2p8(s113)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52656,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s113, s114)) | until2p7(s114) | (~xuntil2p8(s113))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52655, 52654])).
% 10.08/7.54 tff(52657,plain,
% 10.08/7.54 (until2p7(s114) | (~xuntil2p8(s113))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52656, 8886, 49295])).
% 10.08/7.54 tff(52658,plain,
% 10.08/7.54 (~xuntil2p8(s113)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52657, 52653])).
% 10.08/7.54 tff(52659,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52660,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s113) | xuntil2p8(s113) | (~until2p7(s113)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52661,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s113) | xuntil2p8(s113) | (~until2p7(s113))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52660, 52659])).
% 10.08/7.54 tff(52662,plain,
% 10.08/7.54 (xuntil2p8(s113) | (~until2p7(s113))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52661, 49280, 46383])).
% 10.08/7.54 tff(52663,plain,
% 10.08/7.54 (~until2p7(s113)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52662, 52658])).
% 10.08/7.54 tff(52664,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52665,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s112, s113)) | until2p7(s113) | (~xuntil2p8(s112)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52666,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s112, s113)) | until2p7(s113) | (~xuntil2p8(s112))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52665, 52664])).
% 10.08/7.54 tff(52667,plain,
% 10.08/7.54 (until2p7(s113) | (~xuntil2p8(s112))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52666, 8898, 49295])).
% 10.08/7.54 tff(52668,plain,
% 10.08/7.54 (~xuntil2p8(s112)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52667, 52663])).
% 10.08/7.54 tff(52669,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52670,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s112) | xuntil2p8(s112) | (~until2p7(s112)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52671,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s112) | xuntil2p8(s112) | (~until2p7(s112))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52670, 52669])).
% 10.08/7.54 tff(52672,plain,
% 10.08/7.54 (xuntil2p8(s112) | (~until2p7(s112))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52671, 49280, 46379])).
% 10.08/7.54 tff(52673,plain,
% 10.08/7.54 (~until2p7(s112)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52672, 52668])).
% 10.08/7.54 tff(52674,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52675,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s111, s112)) | until2p7(s112) | (~xuntil2p8(s111)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52676,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s111, s112)) | until2p7(s112) | (~xuntil2p8(s111))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52675, 52674])).
% 10.08/7.54 tff(52677,plain,
% 10.08/7.54 (until2p7(s112) | (~xuntil2p8(s111))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52676, 8910, 49295])).
% 10.08/7.54 tff(52678,plain,
% 10.08/7.54 (~xuntil2p8(s111)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52677, 52673])).
% 10.08/7.54 tff(52679,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52680,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s111) | xuntil2p8(s111) | (~until2p7(s111)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52681,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s111) | xuntil2p8(s111) | (~until2p7(s111))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52680, 52679])).
% 10.08/7.54 tff(52682,plain,
% 10.08/7.54 (xuntil2p8(s111) | (~until2p7(s111))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52681, 49280, 46375])).
% 10.08/7.54 tff(52683,plain,
% 10.08/7.54 (~until2p7(s111)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52682, 52678])).
% 10.08/7.54 tff(52684,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52685,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s110, s111)) | until2p7(s111) | (~xuntil2p8(s110)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52686,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s110, s111)) | until2p7(s111) | (~xuntil2p8(s110))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52685, 52684])).
% 10.08/7.54 tff(52687,plain,
% 10.08/7.54 (until2p7(s111) | (~xuntil2p8(s110))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52686, 8922, 49295])).
% 10.08/7.54 tff(52688,plain,
% 10.08/7.54 (~xuntil2p8(s110)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52687, 52683])).
% 10.08/7.54 tff(52689,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52690,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s110) | xuntil2p8(s110) | (~until2p7(s110)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52691,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s110) | xuntil2p8(s110) | (~until2p7(s110))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52690, 52689])).
% 10.08/7.54 tff(52692,plain,
% 10.08/7.54 (xuntil2p8(s110) | (~until2p7(s110))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52691, 49280, 46371])).
% 10.08/7.54 tff(52693,plain,
% 10.08/7.54 (~until2p7(s110)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52692, 52688])).
% 10.08/7.54 tff(52694,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52695,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s109, s110)) | until2p7(s110) | (~xuntil2p8(s109)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52696,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s109, s110)) | until2p7(s110) | (~xuntil2p8(s109))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52695, 52694])).
% 10.08/7.54 tff(52697,plain,
% 10.08/7.54 (until2p7(s110) | (~xuntil2p8(s109))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52696, 8934, 49295])).
% 10.08/7.54 tff(52698,plain,
% 10.08/7.54 (~xuntil2p8(s109)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52697, 52693])).
% 10.08/7.54 tff(52699,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52700,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s109) | xuntil2p8(s109) | (~until2p7(s109)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52701,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s109) | xuntil2p8(s109) | (~until2p7(s109))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52700, 52699])).
% 10.08/7.54 tff(52702,plain,
% 10.08/7.54 (xuntil2p8(s109) | (~until2p7(s109))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52701, 49280, 46367])).
% 10.08/7.54 tff(52703,plain,
% 10.08/7.54 (~until2p7(s109)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52702, 52698])).
% 10.08/7.54 tff(52704,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52705,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s108, s109)) | until2p7(s109) | (~xuntil2p8(s108)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52706,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s108, s109)) | until2p7(s109) | (~xuntil2p8(s108))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52705, 52704])).
% 10.08/7.54 tff(52707,plain,
% 10.08/7.54 (until2p7(s109) | (~xuntil2p8(s108))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52706, 8946, 49295])).
% 10.08/7.54 tff(52708,plain,
% 10.08/7.54 (~xuntil2p8(s108)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52707, 52703])).
% 10.08/7.54 tff(52709,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52710,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s108) | xuntil2p8(s108) | (~until2p7(s108)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52711,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s108) | xuntil2p8(s108) | (~until2p7(s108))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52710, 52709])).
% 10.08/7.54 tff(52712,plain,
% 10.08/7.54 (xuntil2p8(s108) | (~until2p7(s108))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52711, 49280, 46363])).
% 10.08/7.54 tff(52713,plain,
% 10.08/7.54 (~until2p7(s108)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52712, 52708])).
% 10.08/7.54 tff(52714,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52715,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s107, s108)) | until2p7(s108) | (~xuntil2p8(s107)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52716,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s107, s108)) | until2p7(s108) | (~xuntil2p8(s107))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52715, 52714])).
% 10.08/7.54 tff(52717,plain,
% 10.08/7.54 (until2p7(s108) | (~xuntil2p8(s107))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52716, 8958, 49295])).
% 10.08/7.54 tff(52718,plain,
% 10.08/7.54 (~xuntil2p8(s107)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52717, 52713])).
% 10.08/7.54 tff(52719,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52720,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s107) | xuntil2p8(s107) | (~until2p7(s107)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52721,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s107) | xuntil2p8(s107) | (~until2p7(s107))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52720, 52719])).
% 10.08/7.54 tff(52722,plain,
% 10.08/7.54 (xuntil2p8(s107) | (~until2p7(s107))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52721, 49280, 46359])).
% 10.08/7.54 tff(52723,plain,
% 10.08/7.54 (~until2p7(s107)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52722, 52718])).
% 10.08/7.54 tff(52724,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52725,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s106, s107)) | until2p7(s107) | (~xuntil2p8(s106)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52726,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s106, s107)) | until2p7(s107) | (~xuntil2p8(s106))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52725, 52724])).
% 10.08/7.54 tff(52727,plain,
% 10.08/7.54 (until2p7(s107) | (~xuntil2p8(s106))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52726, 8970, 49295])).
% 10.08/7.54 tff(52728,plain,
% 10.08/7.54 (~xuntil2p8(s106)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52727, 52723])).
% 10.08/7.54 tff(52729,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52730,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s106) | xuntil2p8(s106) | (~until2p7(s106)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52731,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s106) | xuntil2p8(s106) | (~until2p7(s106))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52730, 52729])).
% 10.08/7.54 tff(52732,plain,
% 10.08/7.54 (xuntil2p8(s106) | (~until2p7(s106))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52731, 49280, 46355])).
% 10.08/7.54 tff(52733,plain,
% 10.08/7.54 (~until2p7(s106)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52732, 52728])).
% 10.08/7.54 tff(52734,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52735,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s105, s106)) | until2p7(s106) | (~xuntil2p8(s105)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52736,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s105, s106)) | until2p7(s106) | (~xuntil2p8(s105))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52735, 52734])).
% 10.08/7.54 tff(52737,plain,
% 10.08/7.54 (until2p7(s106) | (~xuntil2p8(s105))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52736, 8982, 49295])).
% 10.08/7.54 tff(52738,plain,
% 10.08/7.54 (~xuntil2p8(s105)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52737, 52733])).
% 10.08/7.54 tff(52739,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52740,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s105) | xuntil2p8(s105) | (~until2p7(s105)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52741,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s105) | xuntil2p8(s105) | (~until2p7(s105))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52740, 52739])).
% 10.08/7.54 tff(52742,plain,
% 10.08/7.54 (xuntil2p8(s105) | (~until2p7(s105))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52741, 49280, 46351])).
% 10.08/7.54 tff(52743,plain,
% 10.08/7.54 (~until2p7(s105)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52742, 52738])).
% 10.08/7.54 tff(52744,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52745,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s104, s105)) | until2p7(s105) | (~xuntil2p8(s104)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52746,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s104, s105)) | until2p7(s105) | (~xuntil2p8(s104))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52745, 52744])).
% 10.08/7.54 tff(52747,plain,
% 10.08/7.54 (until2p7(s105) | (~xuntil2p8(s104))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52746, 8994, 49295])).
% 10.08/7.54 tff(52748,plain,
% 10.08/7.54 (~xuntil2p8(s104)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52747, 52743])).
% 10.08/7.54 tff(52749,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52750,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s104) | xuntil2p8(s104) | (~until2p7(s104)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52751,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s104) | xuntil2p8(s104) | (~until2p7(s104))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52750, 52749])).
% 10.08/7.54 tff(52752,plain,
% 10.08/7.54 (xuntil2p8(s104) | (~until2p7(s104))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52751, 49280, 46347])).
% 10.08/7.54 tff(52753,plain,
% 10.08/7.54 (~until2p7(s104)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52752, 52748])).
% 10.08/7.54 tff(52754,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52755,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s103, s104)) | until2p7(s104) | (~xuntil2p8(s103)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52756,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s103, s104)) | until2p7(s104) | (~xuntil2p8(s103))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52755, 52754])).
% 10.08/7.54 tff(52757,plain,
% 10.08/7.54 (until2p7(s104) | (~xuntil2p8(s103))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52756, 9006, 49295])).
% 10.08/7.54 tff(52758,plain,
% 10.08/7.54 (~xuntil2p8(s103)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52757, 52753])).
% 10.08/7.54 tff(52759,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52760,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s103) | xuntil2p8(s103) | (~until2p7(s103)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52761,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s103) | xuntil2p8(s103) | (~until2p7(s103))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52760, 52759])).
% 10.08/7.54 tff(52762,plain,
% 10.08/7.54 (xuntil2p8(s103) | (~until2p7(s103))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52761, 49280, 46343])).
% 10.08/7.54 tff(52763,plain,
% 10.08/7.54 (~until2p7(s103)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52762, 52758])).
% 10.08/7.54 tff(52764,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52765,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s102, s103)) | until2p7(s103) | (~xuntil2p8(s102)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52766,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s102, s103)) | until2p7(s103) | (~xuntil2p8(s102))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52765, 52764])).
% 10.08/7.54 tff(52767,plain,
% 10.08/7.54 (until2p7(s103) | (~xuntil2p8(s102))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52766, 9018, 49295])).
% 10.08/7.54 tff(52768,plain,
% 10.08/7.54 (~xuntil2p8(s102)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52767, 52763])).
% 10.08/7.54 tff(52769,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52770,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s102) | xuntil2p8(s102) | (~until2p7(s102)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52771,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s102) | xuntil2p8(s102) | (~until2p7(s102))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52770, 52769])).
% 10.08/7.54 tff(52772,plain,
% 10.08/7.54 (xuntil2p8(s102) | (~until2p7(s102))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52771, 49280, 46339])).
% 10.08/7.54 tff(52773,plain,
% 10.08/7.54 (~until2p7(s102)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52772, 52768])).
% 10.08/7.54 tff(52774,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52775,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s101, s102)) | until2p7(s102) | (~xuntil2p8(s101)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52776,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s101, s102)) | until2p7(s102) | (~xuntil2p8(s101))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52775, 52774])).
% 10.08/7.54 tff(52777,plain,
% 10.08/7.54 (until2p7(s102) | (~xuntil2p8(s101))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52776, 9030, 49295])).
% 10.08/7.54 tff(52778,plain,
% 10.08/7.54 (~xuntil2p8(s101)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52777, 52773])).
% 10.08/7.54 tff(52779,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52780,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s101) | xuntil2p8(s101) | (~until2p7(s101)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52781,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s101) | xuntil2p8(s101) | (~until2p7(s101))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52780, 52779])).
% 10.08/7.54 tff(52782,plain,
% 10.08/7.54 (xuntil2p8(s101) | (~until2p7(s101))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52781, 49280, 46335])).
% 10.08/7.54 tff(52783,plain,
% 10.08/7.54 (~until2p7(s101)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52782, 52778])).
% 10.08/7.54 tff(52784,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52785,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s100, s101)) | until2p7(s101) | (~xuntil2p8(s100)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52786,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s100, s101)) | until2p7(s101) | (~xuntil2p8(s100))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52785, 52784])).
% 10.08/7.54 tff(52787,plain,
% 10.08/7.54 (until2p7(s101) | (~xuntil2p8(s100))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52786, 9042, 49295])).
% 10.08/7.54 tff(52788,plain,
% 10.08/7.54 (~xuntil2p8(s100)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52787, 52783])).
% 10.08/7.54 tff(52789,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52790,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s100) | xuntil2p8(s100) | (~until2p7(s100)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52791,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s100) | xuntil2p8(s100) | (~until2p7(s100))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52790, 52789])).
% 10.08/7.54 tff(52792,plain,
% 10.08/7.54 (xuntil2p8(s100) | (~until2p7(s100))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52791, 49280, 46331])).
% 10.08/7.54 tff(52793,plain,
% 10.08/7.54 (~until2p7(s100)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52792, 52788])).
% 10.08/7.54 tff(52794,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52795,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s99, s100)) | until2p7(s100) | (~xuntil2p8(s99)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52796,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s99, s100)) | until2p7(s100) | (~xuntil2p8(s99))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52795, 52794])).
% 10.08/7.54 tff(52797,plain,
% 10.08/7.54 (until2p7(s100) | (~xuntil2p8(s99))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52796, 9054, 49295])).
% 10.08/7.54 tff(52798,plain,
% 10.08/7.54 (~xuntil2p8(s99)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52797, 52793])).
% 10.08/7.54 tff(52799,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52800,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s99) | xuntil2p8(s99) | (~until2p7(s99)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52801,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s99) | xuntil2p8(s99) | (~until2p7(s99))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52800, 52799])).
% 10.08/7.54 tff(52802,plain,
% 10.08/7.54 (xuntil2p8(s99) | (~until2p7(s99))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52801, 49280, 46327])).
% 10.08/7.54 tff(52803,plain,
% 10.08/7.54 (~until2p7(s99)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52802, 52798])).
% 10.08/7.54 tff(52804,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52805,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s98, s99)) | until2p7(s99) | (~xuntil2p8(s98)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52806,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s98, s99)) | until2p7(s99) | (~xuntil2p8(s98))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52805, 52804])).
% 10.08/7.54 tff(52807,plain,
% 10.08/7.54 (until2p7(s99) | (~xuntil2p8(s98))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52806, 9066, 49295])).
% 10.08/7.54 tff(52808,plain,
% 10.08/7.54 (~xuntil2p8(s98)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52807, 52803])).
% 10.08/7.54 tff(52809,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52810,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s98) | xuntil2p8(s98) | (~until2p7(s98)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52811,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s98) | xuntil2p8(s98) | (~until2p7(s98))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52810, 52809])).
% 10.08/7.54 tff(52812,plain,
% 10.08/7.54 (xuntil2p8(s98) | (~until2p7(s98))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52811, 49280, 46323])).
% 10.08/7.54 tff(52813,plain,
% 10.08/7.54 (~until2p7(s98)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52812, 52808])).
% 10.08/7.54 tff(52814,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52815,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s97, s98)) | until2p7(s98) | (~xuntil2p8(s97)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52816,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s97, s98)) | until2p7(s98) | (~xuntil2p8(s97))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52815, 52814])).
% 10.08/7.54 tff(52817,plain,
% 10.08/7.54 (until2p7(s98) | (~xuntil2p8(s97))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52816, 9078, 49295])).
% 10.08/7.54 tff(52818,plain,
% 10.08/7.54 (~xuntil2p8(s97)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52817, 52813])).
% 10.08/7.54 tff(52819,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52820,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s97) | xuntil2p8(s97) | (~until2p7(s97)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52821,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s97) | xuntil2p8(s97) | (~until2p7(s97))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52820, 52819])).
% 10.08/7.54 tff(52822,plain,
% 10.08/7.54 (xuntil2p8(s97) | (~until2p7(s97))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52821, 49280, 46319])).
% 10.08/7.54 tff(52823,plain,
% 10.08/7.54 (~until2p7(s97)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52822, 52818])).
% 10.08/7.54 tff(52824,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52825,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s96, s97)) | until2p7(s97) | (~xuntil2p8(s96)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52826,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s96, s97)) | until2p7(s97) | (~xuntil2p8(s96))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52825, 52824])).
% 10.08/7.54 tff(52827,plain,
% 10.08/7.54 (until2p7(s97) | (~xuntil2p8(s96))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52826, 9090, 49295])).
% 10.08/7.54 tff(52828,plain,
% 10.08/7.54 (~xuntil2p8(s96)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52827, 52823])).
% 10.08/7.54 tff(52829,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52830,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s96) | xuntil2p8(s96) | (~until2p7(s96)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52831,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s96) | xuntil2p8(s96) | (~until2p7(s96))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52830, 52829])).
% 10.08/7.54 tff(52832,plain,
% 10.08/7.54 (xuntil2p8(s96) | (~until2p7(s96))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52831, 49280, 46315])).
% 10.08/7.54 tff(52833,plain,
% 10.08/7.54 (~until2p7(s96)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52832, 52828])).
% 10.08/7.54 tff(52834,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52835,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s95, s96)) | until2p7(s96) | (~xuntil2p8(s95)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52836,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s95, s96)) | until2p7(s96) | (~xuntil2p8(s95))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52835, 52834])).
% 10.08/7.54 tff(52837,plain,
% 10.08/7.54 (until2p7(s96) | (~xuntil2p8(s95))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52836, 9102, 49295])).
% 10.08/7.54 tff(52838,plain,
% 10.08/7.54 (~xuntil2p8(s95)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52837, 52833])).
% 10.08/7.54 tff(52839,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52840,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s95) | xuntil2p8(s95) | (~until2p7(s95)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52841,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s95) | xuntil2p8(s95) | (~until2p7(s95))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52840, 52839])).
% 10.08/7.54 tff(52842,plain,
% 10.08/7.54 (xuntil2p8(s95) | (~until2p7(s95))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52841, 49280, 46311])).
% 10.08/7.54 tff(52843,plain,
% 10.08/7.54 (~until2p7(s95)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52842, 52838])).
% 10.08/7.54 tff(52844,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52845,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s94, s95)) | until2p7(s95) | (~xuntil2p8(s94)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52846,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s94, s95)) | until2p7(s95) | (~xuntil2p8(s94))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52845, 52844])).
% 10.08/7.54 tff(52847,plain,
% 10.08/7.54 (until2p7(s95) | (~xuntil2p8(s94))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52846, 9114, 49295])).
% 10.08/7.54 tff(52848,plain,
% 10.08/7.54 (~xuntil2p8(s94)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52847, 52843])).
% 10.08/7.54 tff(52849,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52850,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s94) | xuntil2p8(s94) | (~until2p7(s94)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52851,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s94) | xuntil2p8(s94) | (~until2p7(s94))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52850, 52849])).
% 10.08/7.54 tff(52852,plain,
% 10.08/7.54 (xuntil2p8(s94) | (~until2p7(s94))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52851, 49280, 46307])).
% 10.08/7.54 tff(52853,plain,
% 10.08/7.54 (~until2p7(s94)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52852, 52848])).
% 10.08/7.54 tff(52854,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52855,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s93, s94)) | until2p7(s94) | (~xuntil2p8(s93)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52856,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s93, s94)) | until2p7(s94) | (~xuntil2p8(s93))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52855, 52854])).
% 10.08/7.54 tff(52857,plain,
% 10.08/7.54 (until2p7(s94) | (~xuntil2p8(s93))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52856, 9126, 49295])).
% 10.08/7.54 tff(52858,plain,
% 10.08/7.54 (~xuntil2p8(s93)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52857, 52853])).
% 10.08/7.54 tff(52859,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52860,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s93) | xuntil2p8(s93) | (~until2p7(s93)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52861,plain,
% 10.08/7.54 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s93) | xuntil2p8(s93) | (~until2p7(s93))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52860, 52859])).
% 10.08/7.54 tff(52862,plain,
% 10.08/7.54 (xuntil2p8(s93) | (~until2p7(s93))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52861, 49280, 46303])).
% 10.08/7.54 tff(52863,plain,
% 10.08/7.54 (~until2p7(s93)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52862, 52858])).
% 10.08/7.54 tff(52864,plain,
% 10.08/7.54 (((~![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)))),
% 10.08/7.54 inference(rewrite,[status(thm)],[])).
% 10.08/7.54 tff(52865,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s92, s93)) | until2p7(s93) | (~xuntil2p8(s92)))),
% 10.08/7.54 inference(quant_inst,[status(thm)],[])).
% 10.08/7.54 tff(52866,plain,
% 10.08/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s92, s93)) | until2p7(s93) | (~xuntil2p8(s92))),
% 10.08/7.54 inference(modus_ponens,[status(thm)],[52865, 52864])).
% 10.08/7.54 tff(52867,plain,
% 10.08/7.54 (until2p7(s93) | (~xuntil2p8(s92))),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52866, 9138, 49295])).
% 10.08/7.54 tff(52868,plain,
% 10.08/7.54 (~xuntil2p8(s92)),
% 10.08/7.54 inference(unit_resolution,[status(thm)],[52867, 52863])).
% 10.08/7.54 tff(52869,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52870,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s92) | xuntil2p8(s92) | (~until2p7(s92)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52871,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s92) | xuntil2p8(s92) | (~until2p7(s92))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52870, 52869])).
% 10.08/7.55 tff(52872,plain,
% 10.08/7.55 (xuntil2p8(s92) | (~until2p7(s92))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52871, 49280, 46299])).
% 10.08/7.55 tff(52873,plain,
% 10.08/7.55 (~until2p7(s92)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52872, 52868])).
% 10.08/7.55 tff(52874,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52875,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s91, s92)) | until2p7(s92) | (~xuntil2p8(s91)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52876,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s91, s92)) | until2p7(s92) | (~xuntil2p8(s91))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52875, 52874])).
% 10.08/7.55 tff(52877,plain,
% 10.08/7.55 (until2p7(s92) | (~xuntil2p8(s91))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52876, 9150, 49295])).
% 10.08/7.55 tff(52878,plain,
% 10.08/7.55 (~xuntil2p8(s91)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52877, 52873])).
% 10.08/7.55 tff(52879,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52880,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s91) | xuntil2p8(s91) | (~until2p7(s91)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52881,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s91) | xuntil2p8(s91) | (~until2p7(s91))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52880, 52879])).
% 10.08/7.55 tff(52882,plain,
% 10.08/7.55 (xuntil2p8(s91) | (~until2p7(s91))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52881, 49280, 46295])).
% 10.08/7.55 tff(52883,plain,
% 10.08/7.55 (~until2p7(s91)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52882, 52878])).
% 10.08/7.55 tff(52884,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52885,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s90, s91)) | until2p7(s91) | (~xuntil2p8(s90)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52886,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s90, s91)) | until2p7(s91) | (~xuntil2p8(s90))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52885, 52884])).
% 10.08/7.55 tff(52887,plain,
% 10.08/7.55 (until2p7(s91) | (~xuntil2p8(s90))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52886, 9162, 49295])).
% 10.08/7.55 tff(52888,plain,
% 10.08/7.55 (~xuntil2p8(s90)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52887, 52883])).
% 10.08/7.55 tff(52889,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52890,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s90) | xuntil2p8(s90) | (~until2p7(s90)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52891,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s90) | xuntil2p8(s90) | (~until2p7(s90))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52890, 52889])).
% 10.08/7.55 tff(52892,plain,
% 10.08/7.55 (xuntil2p8(s90) | (~until2p7(s90))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52891, 49280, 46291])).
% 10.08/7.55 tff(52893,plain,
% 10.08/7.55 (~until2p7(s90)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52892, 52888])).
% 10.08/7.55 tff(52894,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52895,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s89, s90)) | until2p7(s90) | (~xuntil2p8(s89)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52896,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s89, s90)) | until2p7(s90) | (~xuntil2p8(s89))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52895, 52894])).
% 10.08/7.55 tff(52897,plain,
% 10.08/7.55 (until2p7(s90) | (~xuntil2p8(s89))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52896, 9174, 49295])).
% 10.08/7.55 tff(52898,plain,
% 10.08/7.55 (~xuntil2p8(s89)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52897, 52893])).
% 10.08/7.55 tff(52899,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52900,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s89) | xuntil2p8(s89) | (~until2p7(s89)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52901,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s89) | xuntil2p8(s89) | (~until2p7(s89))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52900, 52899])).
% 10.08/7.55 tff(52902,plain,
% 10.08/7.55 (xuntil2p8(s89) | (~until2p7(s89))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52901, 49280, 46287])).
% 10.08/7.55 tff(52903,plain,
% 10.08/7.55 (~until2p7(s89)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52902, 52898])).
% 10.08/7.55 tff(52904,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52905,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s88, s89)) | until2p7(s89) | (~xuntil2p8(s88)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52906,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s88, s89)) | until2p7(s89) | (~xuntil2p8(s88))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52905, 52904])).
% 10.08/7.55 tff(52907,plain,
% 10.08/7.55 (until2p7(s89) | (~xuntil2p8(s88))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52906, 9186, 49295])).
% 10.08/7.55 tff(52908,plain,
% 10.08/7.55 (~xuntil2p8(s88)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52907, 52903])).
% 10.08/7.55 tff(52909,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52910,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s88) | xuntil2p8(s88) | (~until2p7(s88)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52911,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s88) | xuntil2p8(s88) | (~until2p7(s88))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52910, 52909])).
% 10.08/7.55 tff(52912,plain,
% 10.08/7.55 (xuntil2p8(s88) | (~until2p7(s88))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52911, 49280, 46283])).
% 10.08/7.55 tff(52913,plain,
% 10.08/7.55 (~until2p7(s88)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52912, 52908])).
% 10.08/7.55 tff(52914,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52915,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s87, s88)) | until2p7(s88) | (~xuntil2p8(s87)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52916,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s87, s88)) | until2p7(s88) | (~xuntil2p8(s87))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52915, 52914])).
% 10.08/7.55 tff(52917,plain,
% 10.08/7.55 (until2p7(s88) | (~xuntil2p8(s87))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52916, 9198, 49295])).
% 10.08/7.55 tff(52918,plain,
% 10.08/7.55 (~xuntil2p8(s87)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52917, 52913])).
% 10.08/7.55 tff(52919,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52920,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s87) | xuntil2p8(s87) | (~until2p7(s87)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52921,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s87) | xuntil2p8(s87) | (~until2p7(s87))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52920, 52919])).
% 10.08/7.55 tff(52922,plain,
% 10.08/7.55 (xuntil2p8(s87) | (~until2p7(s87))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52921, 49280, 46279])).
% 10.08/7.55 tff(52923,plain,
% 10.08/7.55 (~until2p7(s87)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52922, 52918])).
% 10.08/7.55 tff(52924,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52925,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s86, s87)) | until2p7(s87) | (~xuntil2p8(s86)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52926,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s86, s87)) | until2p7(s87) | (~xuntil2p8(s86))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52925, 52924])).
% 10.08/7.55 tff(52927,plain,
% 10.08/7.55 (until2p7(s87) | (~xuntil2p8(s86))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52926, 9210, 49295])).
% 10.08/7.55 tff(52928,plain,
% 10.08/7.55 (~xuntil2p8(s86)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52927, 52923])).
% 10.08/7.55 tff(52929,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52930,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s86) | xuntil2p8(s86) | (~until2p7(s86)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52931,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s86) | xuntil2p8(s86) | (~until2p7(s86))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52930, 52929])).
% 10.08/7.55 tff(52932,plain,
% 10.08/7.55 (xuntil2p8(s86) | (~until2p7(s86))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52931, 49280, 46275])).
% 10.08/7.55 tff(52933,plain,
% 10.08/7.55 (~until2p7(s86)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52932, 52928])).
% 10.08/7.55 tff(52934,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52935,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s85, s86)) | until2p7(s86) | (~xuntil2p8(s85)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52936,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s85, s86)) | until2p7(s86) | (~xuntil2p8(s85))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52935, 52934])).
% 10.08/7.55 tff(52937,plain,
% 10.08/7.55 (until2p7(s86) | (~xuntil2p8(s85))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52936, 9222, 49295])).
% 10.08/7.55 tff(52938,plain,
% 10.08/7.55 (~xuntil2p8(s85)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52937, 52933])).
% 10.08/7.55 tff(52939,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52940,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s85) | xuntil2p8(s85) | (~until2p7(s85)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52941,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s85) | xuntil2p8(s85) | (~until2p7(s85))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52940, 52939])).
% 10.08/7.55 tff(52942,plain,
% 10.08/7.55 (xuntil2p8(s85) | (~until2p7(s85))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52941, 49280, 46271])).
% 10.08/7.55 tff(52943,plain,
% 10.08/7.55 (~until2p7(s85)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52942, 52938])).
% 10.08/7.55 tff(52944,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52945,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s84, s85)) | until2p7(s85) | (~xuntil2p8(s84)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52946,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s84, s85)) | until2p7(s85) | (~xuntil2p8(s84))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52945, 52944])).
% 10.08/7.55 tff(52947,plain,
% 10.08/7.55 (until2p7(s85) | (~xuntil2p8(s84))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52946, 9234, 49295])).
% 10.08/7.55 tff(52948,plain,
% 10.08/7.55 (~xuntil2p8(s84)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52947, 52943])).
% 10.08/7.55 tff(52949,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52950,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s84) | xuntil2p8(s84) | (~until2p7(s84)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52951,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s84) | xuntil2p8(s84) | (~until2p7(s84))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52950, 52949])).
% 10.08/7.55 tff(52952,plain,
% 10.08/7.55 (xuntil2p8(s84) | (~until2p7(s84))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52951, 49280, 46267])).
% 10.08/7.55 tff(52953,plain,
% 10.08/7.55 (~until2p7(s84)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52952, 52948])).
% 10.08/7.55 tff(52954,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52955,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s83, s84)) | until2p7(s84) | (~xuntil2p8(s83)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52956,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s83, s84)) | until2p7(s84) | (~xuntil2p8(s83))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52955, 52954])).
% 10.08/7.55 tff(52957,plain,
% 10.08/7.55 (until2p7(s84) | (~xuntil2p8(s83))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52956, 9246, 49295])).
% 10.08/7.55 tff(52958,plain,
% 10.08/7.55 (~xuntil2p8(s83)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52957, 52953])).
% 10.08/7.55 tff(52959,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52960,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s83) | xuntil2p8(s83) | (~until2p7(s83)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52961,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s83) | xuntil2p8(s83) | (~until2p7(s83))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52960, 52959])).
% 10.08/7.55 tff(52962,plain,
% 10.08/7.55 (xuntil2p8(s83) | (~until2p7(s83))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52961, 49280, 46263])).
% 10.08/7.55 tff(52963,plain,
% 10.08/7.55 (~until2p7(s83)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52962, 52958])).
% 10.08/7.55 tff(52964,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52965,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s82, s83)) | until2p7(s83) | (~xuntil2p8(s82)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52966,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s82, s83)) | until2p7(s83) | (~xuntil2p8(s82))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52965, 52964])).
% 10.08/7.55 tff(52967,plain,
% 10.08/7.55 (until2p7(s83) | (~xuntil2p8(s82))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52966, 9258, 49295])).
% 10.08/7.55 tff(52968,plain,
% 10.08/7.55 (~xuntil2p8(s82)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52967, 52963])).
% 10.08/7.55 tff(52969,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52970,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s82) | xuntil2p8(s82) | (~until2p7(s82)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52971,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s82) | xuntil2p8(s82) | (~until2p7(s82))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52970, 52969])).
% 10.08/7.55 tff(52972,plain,
% 10.08/7.55 (xuntil2p8(s82) | (~until2p7(s82))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52971, 49280, 46259])).
% 10.08/7.55 tff(52973,plain,
% 10.08/7.55 (~until2p7(s82)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52972, 52968])).
% 10.08/7.55 tff(52974,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52975,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s81, s82)) | until2p7(s82) | (~xuntil2p8(s81)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52976,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s81, s82)) | until2p7(s82) | (~xuntil2p8(s81))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52975, 52974])).
% 10.08/7.55 tff(52977,plain,
% 10.08/7.55 (until2p7(s82) | (~xuntil2p8(s81))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52976, 9270, 49295])).
% 10.08/7.55 tff(52978,plain,
% 10.08/7.55 (~xuntil2p8(s81)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52977, 52973])).
% 10.08/7.55 tff(52979,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52980,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s81) | xuntil2p8(s81) | (~until2p7(s81)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52981,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s81) | xuntil2p8(s81) | (~until2p7(s81))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52980, 52979])).
% 10.08/7.55 tff(52982,plain,
% 10.08/7.55 (xuntil2p8(s81) | (~until2p7(s81))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52981, 49280, 46255])).
% 10.08/7.55 tff(52983,plain,
% 10.08/7.55 (~until2p7(s81)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52982, 52978])).
% 10.08/7.55 tff(52984,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52985,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s80, s81)) | until2p7(s81) | (~xuntil2p8(s80)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52986,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s80, s81)) | until2p7(s81) | (~xuntil2p8(s80))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52985, 52984])).
% 10.08/7.55 tff(52987,plain,
% 10.08/7.55 (until2p7(s81) | (~xuntil2p8(s80))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52986, 9282, 49295])).
% 10.08/7.55 tff(52988,plain,
% 10.08/7.55 (~xuntil2p8(s80)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52987, 52983])).
% 10.08/7.55 tff(52989,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52990,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s80) | xuntil2p8(s80) | (~until2p7(s80)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52991,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s80) | xuntil2p8(s80) | (~until2p7(s80))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52990, 52989])).
% 10.08/7.55 tff(52992,plain,
% 10.08/7.55 (xuntil2p8(s80) | (~until2p7(s80))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52991, 49280, 46251])).
% 10.08/7.55 tff(52993,plain,
% 10.08/7.55 (~until2p7(s80)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52992, 52988])).
% 10.08/7.55 tff(52994,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(52995,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s79, s80)) | until2p7(s80) | (~xuntil2p8(s79)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(52996,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s79, s80)) | until2p7(s80) | (~xuntil2p8(s79))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[52995, 52994])).
% 10.08/7.55 tff(52997,plain,
% 10.08/7.55 (until2p7(s80) | (~xuntil2p8(s79))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52996, 9294, 49295])).
% 10.08/7.55 tff(52998,plain,
% 10.08/7.55 (~xuntil2p8(s79)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[52997, 52993])).
% 10.08/7.55 tff(52999,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(53000,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s79) | xuntil2p8(s79) | (~until2p7(s79)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(53001,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s79) | xuntil2p8(s79) | (~until2p7(s79))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[53000, 52999])).
% 10.08/7.55 tff(53002,plain,
% 10.08/7.55 (xuntil2p8(s79) | (~until2p7(s79))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53001, 49280, 46247])).
% 10.08/7.55 tff(53003,plain,
% 10.08/7.55 (~until2p7(s79)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53002, 52998])).
% 10.08/7.55 tff(53004,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(53005,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s78, s79)) | until2p7(s79) | (~xuntil2p8(s78)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(53006,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s78, s79)) | until2p7(s79) | (~xuntil2p8(s78))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[53005, 53004])).
% 10.08/7.55 tff(53007,plain,
% 10.08/7.55 (until2p7(s79) | (~xuntil2p8(s78))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53006, 9306, 49295])).
% 10.08/7.55 tff(53008,plain,
% 10.08/7.55 (~xuntil2p8(s78)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53007, 53003])).
% 10.08/7.55 tff(53009,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(53010,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s78) | xuntil2p8(s78) | (~until2p7(s78)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(53011,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s78) | xuntil2p8(s78) | (~until2p7(s78))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[53010, 53009])).
% 10.08/7.55 tff(53012,plain,
% 10.08/7.55 (xuntil2p8(s78) | (~until2p7(s78))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53011, 49280, 46243])).
% 10.08/7.55 tff(53013,plain,
% 10.08/7.55 (~until2p7(s78)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53012, 53008])).
% 10.08/7.55 tff(53014,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(53015,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s77, s78)) | until2p7(s78) | (~xuntil2p8(s77)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(53016,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s77, s78)) | until2p7(s78) | (~xuntil2p8(s77))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[53015, 53014])).
% 10.08/7.55 tff(53017,plain,
% 10.08/7.55 (until2p7(s78) | (~xuntil2p8(s77))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53016, 9318, 49295])).
% 10.08/7.55 tff(53018,plain,
% 10.08/7.55 (~xuntil2p8(s77)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53017, 53013])).
% 10.08/7.55 tff(53019,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(53020,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s77) | xuntil2p8(s77) | (~until2p7(s77)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(53021,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s77) | xuntil2p8(s77) | (~until2p7(s77))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[53020, 53019])).
% 10.08/7.55 tff(53022,plain,
% 10.08/7.55 (xuntil2p8(s77) | (~until2p7(s77))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53021, 49280, 46239])).
% 10.08/7.55 tff(53023,plain,
% 10.08/7.55 (~until2p7(s77)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53022, 53018])).
% 10.08/7.55 tff(53024,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(53025,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s76, s77)) | until2p7(s77) | (~xuntil2p8(s76)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(53026,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s76, s77)) | until2p7(s77) | (~xuntil2p8(s76))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[53025, 53024])).
% 10.08/7.55 tff(53027,plain,
% 10.08/7.55 (until2p7(s77) | (~xuntil2p8(s76))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53026, 9330, 49295])).
% 10.08/7.55 tff(53028,plain,
% 10.08/7.55 (~xuntil2p8(s76)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53027, 53023])).
% 10.08/7.55 tff(53029,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(53030,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s76) | xuntil2p8(s76) | (~until2p7(s76)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(53031,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s76) | xuntil2p8(s76) | (~until2p7(s76))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[53030, 53029])).
% 10.08/7.55 tff(53032,plain,
% 10.08/7.55 (xuntil2p8(s76) | (~until2p7(s76))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53031, 49280, 46235])).
% 10.08/7.55 tff(53033,plain,
% 10.08/7.55 (~until2p7(s76)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53032, 53028])).
% 10.08/7.55 tff(53034,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(53035,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s75, s76)) | until2p7(s76) | (~xuntil2p8(s75)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(53036,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s75, s76)) | until2p7(s76) | (~xuntil2p8(s75))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[53035, 53034])).
% 10.08/7.55 tff(53037,plain,
% 10.08/7.55 (until2p7(s76) | (~xuntil2p8(s75))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53036, 9342, 49295])).
% 10.08/7.55 tff(53038,plain,
% 10.08/7.55 (~xuntil2p8(s75)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53037, 53033])).
% 10.08/7.55 tff(53039,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(53040,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s75) | xuntil2p8(s75) | (~until2p7(s75)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(53041,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s75) | xuntil2p8(s75) | (~until2p7(s75))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[53040, 53039])).
% 10.08/7.55 tff(53042,plain,
% 10.08/7.55 (xuntil2p8(s75) | (~until2p7(s75))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53041, 49280, 46231])).
% 10.08/7.55 tff(53043,plain,
% 10.08/7.55 (~until2p7(s75)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53042, 53038])).
% 10.08/7.55 tff(53044,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(53045,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s74, s75)) | until2p7(s75) | (~xuntil2p8(s74)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(53046,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s74, s75)) | until2p7(s75) | (~xuntil2p8(s74))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[53045, 53044])).
% 10.08/7.55 tff(53047,plain,
% 10.08/7.55 (until2p7(s75) | (~xuntil2p8(s74))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53046, 9354, 49295])).
% 10.08/7.55 tff(53048,plain,
% 10.08/7.55 (~xuntil2p8(s74)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53047, 53043])).
% 10.08/7.55 tff(53049,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(53050,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s74) | xuntil2p8(s74) | (~until2p7(s74)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(53051,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s74) | xuntil2p8(s74) | (~until2p7(s74))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[53050, 53049])).
% 10.08/7.55 tff(53052,plain,
% 10.08/7.55 (xuntil2p8(s74) | (~until2p7(s74))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53051, 49280, 46227])).
% 10.08/7.55 tff(53053,plain,
% 10.08/7.55 (~until2p7(s74)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53052, 53048])).
% 10.08/7.55 tff(53054,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(53055,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s73, s74)) | until2p7(s74) | (~xuntil2p8(s73)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(53056,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s73, s74)) | until2p7(s74) | (~xuntil2p8(s73))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[53055, 53054])).
% 10.08/7.55 tff(53057,plain,
% 10.08/7.55 (until2p7(s74) | (~xuntil2p8(s73))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53056, 9366, 49295])).
% 10.08/7.55 tff(53058,plain,
% 10.08/7.55 (~xuntil2p8(s73)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53057, 53053])).
% 10.08/7.55 tff(53059,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(53060,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s73) | xuntil2p8(s73) | (~until2p7(s73)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(53061,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s73) | xuntil2p8(s73) | (~until2p7(s73))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[53060, 53059])).
% 10.08/7.55 tff(53062,plain,
% 10.08/7.55 (xuntil2p8(s73) | (~until2p7(s73))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53061, 49280, 46223])).
% 10.08/7.55 tff(53063,plain,
% 10.08/7.55 (~until2p7(s73)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53062, 53058])).
% 10.08/7.55 tff(53064,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(53065,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s72, s73)) | until2p7(s73) | (~xuntil2p8(s72)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(53066,plain,
% 10.08/7.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s72, s73)) | until2p7(s73) | (~xuntil2p8(s72))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[53065, 53064])).
% 10.08/7.55 tff(53067,plain,
% 10.08/7.55 (until2p7(s73) | (~xuntil2p8(s72))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53066, 9378, 49295])).
% 10.08/7.55 tff(53068,plain,
% 10.08/7.55 (~xuntil2p8(s72)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53067, 53063])).
% 10.08/7.55 tff(53069,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.55 inference(rewrite,[status(thm)],[])).
% 10.08/7.55 tff(53070,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s72) | xuntil2p8(s72) | (~until2p7(s72)))),
% 10.08/7.55 inference(quant_inst,[status(thm)],[])).
% 10.08/7.55 tff(53071,plain,
% 10.08/7.55 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s72) | xuntil2p8(s72) | (~until2p7(s72))),
% 10.08/7.55 inference(modus_ponens,[status(thm)],[53070, 53069])).
% 10.08/7.55 tff(53072,plain,
% 10.08/7.55 (xuntil2p8(s72) | (~until2p7(s72))),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53071, 49280, 46219])).
% 10.08/7.55 tff(53073,plain,
% 10.08/7.55 (~until2p7(s72)),
% 10.08/7.55 inference(unit_resolution,[status(thm)],[53072, 53068])).
% 10.08/7.55 tff(53074,plain,
% 10.08/7.55 (((~![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)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53075,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s71, s72)) | until2p7(s72) | (~xuntil2p8(s71)))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53076,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s71, s72)) | until2p7(s72) | (~xuntil2p8(s71))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53075, 53074])).
% 10.08/7.56 tff(53077,plain,
% 10.08/7.56 (until2p7(s72) | (~xuntil2p8(s71))),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53076, 9390, 49295])).
% 10.08/7.56 tff(53078,plain,
% 10.08/7.56 (~xuntil2p8(s71)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53077, 53073])).
% 10.08/7.56 tff(53079,plain,
% 10.08/7.56 (((~![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)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53080,plain,
% 10.08/7.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s71) | xuntil2p8(s71) | (~until2p7(s71)))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53081,plain,
% 10.08/7.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s71) | xuntil2p8(s71) | (~until2p7(s71))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53080, 53079])).
% 10.08/7.56 tff(53082,plain,
% 10.08/7.56 (xuntil2p8(s71) | (~until2p7(s71))),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53081, 49280, 46215])).
% 10.08/7.56 tff(53083,plain,
% 10.08/7.56 (~until2p7(s71)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53082, 53078])).
% 10.08/7.56 tff(53084,plain,
% 10.08/7.56 (((~![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)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53085,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s70, s71)) | until2p7(s71) | (~xuntil2p8(s70)))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53086,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s70, s71)) | until2p7(s71) | (~xuntil2p8(s70))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53085, 53084])).
% 10.08/7.56 tff(53087,plain,
% 10.08/7.56 (until2p7(s71) | (~xuntil2p8(s70))),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53086, 9402, 49295])).
% 10.08/7.56 tff(53088,plain,
% 10.08/7.56 (~xuntil2p8(s70)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53087, 53083])).
% 10.08/7.56 tff(53089,plain,
% 10.08/7.56 (((~![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)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53090,plain,
% 10.08/7.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s70) | xuntil2p8(s70) | (~until2p7(s70)))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53091,plain,
% 10.08/7.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s70) | xuntil2p8(s70) | (~until2p7(s70))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53090, 53089])).
% 10.08/7.56 tff(53092,plain,
% 10.08/7.56 (xuntil2p8(s70) | (~until2p7(s70))),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53091, 49280, 46211])).
% 10.08/7.56 tff(53093,plain,
% 10.08/7.56 (~until2p7(s70)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53092, 53088])).
% 10.08/7.56 tff(53094,plain,
% 10.08/7.56 (((~![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)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53095,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s69, s70)) | until2p7(s70) | (~xuntil2p8(s69)))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53096,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s69, s70)) | until2p7(s70) | (~xuntil2p8(s69))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53095, 53094])).
% 10.08/7.56 tff(53097,plain,
% 10.08/7.56 (until2p7(s70) | (~xuntil2p8(s69))),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53096, 9414, 49295])).
% 10.08/7.56 tff(53098,plain,
% 10.08/7.56 (~xuntil2p8(s69)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53097, 53093])).
% 10.08/7.56 tff(53099,plain,
% 10.08/7.56 (((~![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)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53100,plain,
% 10.08/7.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s69) | xuntil2p8(s69) | (~until2p7(s69)))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53101,plain,
% 10.08/7.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s69) | xuntil2p8(s69) | (~until2p7(s69))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53100, 53099])).
% 10.08/7.56 tff(53102,plain,
% 10.08/7.56 (xuntil2p8(s69) | (~until2p7(s69))),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53101, 49280, 46207])).
% 10.08/7.56 tff(53103,plain,
% 10.08/7.56 (~until2p7(s69)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53102, 53098])).
% 10.08/7.56 tff(53104,plain,
% 10.08/7.56 (((~![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)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53105,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s68, s69)) | until2p7(s69) | (~xuntil2p8(s68)))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53106,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s68, s69)) | until2p7(s69) | (~xuntil2p8(s68))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53105, 53104])).
% 10.08/7.56 tff(53107,plain,
% 10.08/7.56 (until2p7(s69) | (~xuntil2p8(s68))),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53106, 9426, 49295])).
% 10.08/7.56 tff(53108,plain,
% 10.08/7.56 (~xuntil2p8(s68)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53107, 53103])).
% 10.08/7.56 tff(53109,plain,
% 10.08/7.56 (((~![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)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53110,plain,
% 10.08/7.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s68) | xuntil2p8(s68) | (~until2p7(s68)))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53111,plain,
% 10.08/7.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s68) | xuntil2p8(s68) | (~until2p7(s68))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53110, 53109])).
% 10.08/7.56 tff(53112,plain,
% 10.08/7.56 (xuntil2p8(s68) | (~until2p7(s68))),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53111, 49280, 46203])).
% 10.08/7.56 tff(53113,plain,
% 10.08/7.56 (~until2p7(s68)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53112, 53108])).
% 10.08/7.56 tff(53114,plain,
% 10.08/7.56 (((~![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)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53115,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s67, s68)) | until2p7(s68) | (~xuntil2p8(s67)))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53116,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s67, s68)) | until2p7(s68) | (~xuntil2p8(s67))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53115, 53114])).
% 10.08/7.56 tff(53117,plain,
% 10.08/7.56 (until2p7(s68) | (~xuntil2p8(s67))),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53116, 9438, 49295])).
% 10.08/7.56 tff(53118,plain,
% 10.08/7.56 (~xuntil2p8(s67)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53117, 53113])).
% 10.08/7.56 tff(53119,plain,
% 10.08/7.56 (((~![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)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53120,plain,
% 10.08/7.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s67) | xuntil2p8(s67) | (~until2p7(s67)))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53121,plain,
% 10.08/7.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s67) | xuntil2p8(s67) | (~until2p7(s67))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53120, 53119])).
% 10.08/7.56 tff(53122,plain,
% 10.08/7.56 (xuntil2p8(s67) | (~until2p7(s67))),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53121, 49280, 46199])).
% 10.08/7.56 tff(53123,plain,
% 10.08/7.56 (~until2p7(s67)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53122, 53118])).
% 10.08/7.56 tff(53124,plain,
% 10.08/7.56 (((~![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)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53125,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s66, s67)) | until2p7(s67) | (~xuntil2p8(s66)))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53126,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s66, s67)) | until2p7(s67) | (~xuntil2p8(s66))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53125, 53124])).
% 10.08/7.56 tff(53127,plain,
% 10.08/7.56 (until2p7(s67) | (~xuntil2p8(s66))),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53126, 9450, 49295])).
% 10.08/7.56 tff(53128,plain,
% 10.08/7.56 (~xuntil2p8(s66)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53127, 53123])).
% 10.08/7.56 tff(53129,plain,
% 10.08/7.56 (((~![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)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53130,plain,
% 10.08/7.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s66) | xuntil2p8(s66) | (~until2p7(s66)))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53131,plain,
% 10.08/7.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s66) | xuntil2p8(s66) | (~until2p7(s66))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53130, 53129])).
% 10.08/7.56 tff(53132,plain,
% 10.08/7.56 (xuntil2p8(s66) | (~until2p7(s66))),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53131, 49280, 46195])).
% 10.08/7.56 tff(53133,plain,
% 10.08/7.56 (~until2p7(s66)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53132, 53128])).
% 10.08/7.56 tff(53134,plain,
% 10.08/7.56 (((~![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)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53135,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s65, s66)) | until2p7(s66) | (~xuntil2p8(s65)))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53136,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s65, s66)) | until2p7(s66) | (~xuntil2p8(s65))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53135, 53134])).
% 10.08/7.56 tff(53137,plain,
% 10.08/7.56 (until2p7(s66) | (~xuntil2p8(s65))),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53136, 9462, 49295])).
% 10.08/7.56 tff(53138,plain,
% 10.08/7.56 (~xuntil2p8(s65)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53137, 53133])).
% 10.08/7.56 tff(53139,plain,
% 10.08/7.56 (((~![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)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53140,plain,
% 10.08/7.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s65) | xuntil2p8(s65) | (~until2p7(s65)))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53141,plain,
% 10.08/7.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s65) | xuntil2p8(s65) | (~until2p7(s65))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53140, 53139])).
% 10.08/7.56 tff(53142,plain,
% 10.08/7.56 (xuntil2p8(s65) | (~until2p7(s65))),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53141, 49280, 46191])).
% 10.08/7.56 tff(53143,plain,
% 10.08/7.56 (~until2p7(s65)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53142, 53138])).
% 10.08/7.56 tff(53144,plain,
% 10.08/7.56 (((~![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)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53145,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s64, s65)) | until2p7(s65) | (~xuntil2p8(s64)))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53146,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s64, s65)) | until2p7(s65) | (~xuntil2p8(s64))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53145, 53144])).
% 10.08/7.56 tff(53147,plain,
% 10.08/7.56 (until2p7(s65) | (~xuntil2p8(s64))),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53146, 9474, 49295])).
% 10.08/7.56 tff(53148,plain,
% 10.08/7.56 (~xuntil2p8(s64)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53147, 53143])).
% 10.08/7.56 tff(53149,plain,
% 10.08/7.56 (((~![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)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53150,plain,
% 10.08/7.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s64) | xuntil2p8(s64) | (~until2p7(s64)))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53151,plain,
% 10.08/7.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s64) | xuntil2p8(s64) | (~until2p7(s64))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53150, 53149])).
% 10.08/7.56 tff(53152,plain,
% 10.08/7.56 (xuntil2p8(s64) | (~until2p7(s64))),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53151, 49280, 46187])).
% 10.08/7.56 tff(53153,plain,
% 10.08/7.56 (~until2p7(s64)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53152, 53148])).
% 10.08/7.56 tff(53154,plain,
% 10.08/7.56 (((~![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)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53155,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s63, s64)) | until2p7(s64) | (~xuntil2p8(s63)))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53156,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s63, s64)) | until2p7(s64) | (~xuntil2p8(s63))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53155, 53154])).
% 10.08/7.56 tff(53157,plain,
% 10.08/7.56 (until2p7(s64) | (~xuntil2p8(s63))),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53156, 9486, 49295])).
% 10.08/7.56 tff(53158,plain,
% 10.08/7.56 (~xuntil2p8(s63)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53157, 53153])).
% 10.08/7.56 tff(53159,plain,
% 10.08/7.56 (((~![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)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53160,plain,
% 10.08/7.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s63) | xuntil2p8(s63) | (~until2p7(s63)))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53161,plain,
% 10.08/7.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s63) | xuntil2p8(s63) | (~until2p7(s63))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53160, 53159])).
% 10.08/7.56 tff(53162,plain,
% 10.08/7.56 (xuntil2p8(s63) | (~until2p7(s63))),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53161, 49280, 46183])).
% 10.08/7.56 tff(53163,plain,
% 10.08/7.56 (~until2p7(s63)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53162, 53158])).
% 10.08/7.56 tff(53164,plain,
% 10.08/7.56 (((~![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)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53165,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s62, s63)) | until2p7(s63) | (~xuntil2p8(s62)))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53166,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s62, s63)) | until2p7(s63) | (~xuntil2p8(s62))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53165, 53164])).
% 10.08/7.56 tff(53167,plain,
% 10.08/7.56 (until2p7(s63) | (~xuntil2p8(s62))),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53166, 9498, 49295])).
% 10.08/7.56 tff(53168,plain,
% 10.08/7.56 (~xuntil2p8(s62)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53167, 53163])).
% 10.08/7.56 tff(53169,plain,
% 10.08/7.56 (((~![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)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53170,plain,
% 10.08/7.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s62) | xuntil2p8(s62) | (~until2p7(s62)))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53171,plain,
% 10.08/7.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s62) | xuntil2p8(s62) | (~until2p7(s62))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53170, 53169])).
% 10.08/7.56 tff(53172,plain,
% 10.08/7.56 (xuntil2p8(s62) | (~until2p7(s62))),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53171, 49280, 46179])).
% 10.08/7.56 tff(53173,plain,
% 10.08/7.56 (~until2p7(s62)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53172, 53168])).
% 10.08/7.56 tff(53174,plain,
% 10.08/7.56 (((~![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)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53175,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s61, s62)) | until2p7(s62) | (~xuntil2p8(s61)))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53176,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s61, s62)) | until2p7(s62) | (~xuntil2p8(s61))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53175, 53174])).
% 10.08/7.56 tff(53177,plain,
% 10.08/7.56 (until2p7(s62) | (~xuntil2p8(s61))),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53176, 9510, 49295])).
% 10.08/7.56 tff(53178,plain,
% 10.08/7.56 (~xuntil2p8(s61)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53177, 53173])).
% 10.08/7.56 tff(53179,plain,
% 10.08/7.56 (((~![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)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53180,plain,
% 10.08/7.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s61) | xuntil2p8(s61) | (~until2p7(s61)))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53181,plain,
% 10.08/7.56 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s61) | xuntil2p8(s61) | (~until2p7(s61))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53180, 53179])).
% 10.08/7.56 tff(53182,plain,
% 10.08/7.56 (xuntil2p8(s61) | (~until2p7(s61))),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53181, 49280, 46175])).
% 10.08/7.56 tff(53183,plain,
% 10.08/7.56 (~until2p7(s61)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53182, 53178])).
% 10.08/7.56 tff(53184,assumption,(xuntil6(s449)), introduced(assumption)).
% 10.08/7.56 tff(53185,assumption,(~until2p7(s61)), introduced(assumption)).
% 10.08/7.56 tff(53186,assumption,(trans(s449, s61)), introduced(assumption)).
% 10.08/7.56 tff(53187,plain,
% 10.08/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s61) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s61)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s61) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s61)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53188,plain,
% 10.08/7.56 (((~trans(s449, s61)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s61)) <=> (until2p7(s61) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s61)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53189,plain,
% 10.08/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s61)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s61) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s61))))),
% 10.08/7.56 inference(monotonicity,[status(thm)],[53188])).
% 10.08/7.56 tff(53190,plain,
% 10.08/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s61)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s61) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s61)))),
% 10.08/7.56 inference(transitivity,[status(thm)],[53189, 53187])).
% 10.08/7.56 tff(53191,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s61)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s61))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53192,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s61) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s61))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53191, 53190])).
% 10.08/7.56 tff(53193,plain,
% 10.08/7.56 ($false),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53192, 49266, 53186, 51453, 53185, 53184])).
% 10.08/7.56 tff(53194,plain,((~trans(s449, s61)) | until2p7(s61) | (~xuntil6(s449))), inference(lemma,lemma(discharge,[]))).
% 10.08/7.56 tff(53195,plain,
% 10.08/7.56 (~trans(s449, s61)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53194, 53183, 49251])).
% 10.08/7.56 tff(53196,assumption,(~until2p7(s283)), introduced(assumption)).
% 10.08/7.56 tff(53197,assumption,(trans(s449, s283)), introduced(assumption)).
% 10.08/7.56 tff(53198,plain,
% 10.08/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s283) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s283)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s283) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s283)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53199,plain,
% 10.08/7.56 (((~trans(s449, s283)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s283)) <=> (until2p7(s283) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s283)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53200,plain,
% 10.08/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s283)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s283))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s283) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s283))))),
% 10.08/7.56 inference(monotonicity,[status(thm)],[53199])).
% 10.08/7.56 tff(53201,plain,
% 10.08/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s283)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s283))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s283) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s283)))),
% 10.08/7.56 inference(transitivity,[status(thm)],[53200, 53198])).
% 10.08/7.56 tff(53202,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s283)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s283))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53203,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s283) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s283))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53202, 53201])).
% 10.08/7.56 tff(53204,plain,
% 10.08/7.56 ($false),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53203, 49266, 53197, 51453, 53196, 53184])).
% 10.08/7.56 tff(53205,plain,((~trans(s449, s283)) | until2p7(s283) | (~xuntil6(s449))), inference(lemma,lemma(discharge,[]))).
% 10.08/7.56 tff(53206,plain,
% 10.08/7.56 (~trans(s449, s283)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53205, 50953, 49251])).
% 10.08/7.56 tff(53207,assumption,(~until2p7(s79)), introduced(assumption)).
% 10.08/7.56 tff(53208,assumption,(trans(s449, s79)), introduced(assumption)).
% 10.08/7.56 tff(53209,plain,
% 10.08/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s79) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s79)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s79) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s79)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53210,plain,
% 10.08/7.56 (((~trans(s449, s79)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s79)) <=> (until2p7(s79) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s79)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53211,plain,
% 10.08/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s79)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s79) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s79))))),
% 10.08/7.56 inference(monotonicity,[status(thm)],[53210])).
% 10.08/7.56 tff(53212,plain,
% 10.08/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s79)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s79) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s79)))),
% 10.08/7.56 inference(transitivity,[status(thm)],[53211, 53209])).
% 10.08/7.56 tff(53213,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s79)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s79))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53214,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s79) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s79))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53213, 53212])).
% 10.08/7.56 tff(53215,plain,
% 10.08/7.56 ($false),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53214, 49266, 53208, 51453, 53207, 53184])).
% 10.08/7.56 tff(53216,plain,((~trans(s449, s79)) | until2p7(s79) | (~xuntil6(s449))), inference(lemma,lemma(discharge,[]))).
% 10.08/7.56 tff(53217,plain,
% 10.08/7.56 (~trans(s449, s79)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53216, 53003, 49251])).
% 10.08/7.56 tff(53218,assumption,(~until2p7(s203)), introduced(assumption)).
% 10.08/7.56 tff(53219,assumption,(trans(s449, s203)), introduced(assumption)).
% 10.08/7.56 tff(53220,plain,
% 10.08/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s203) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s203)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s203) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s203)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53221,plain,
% 10.08/7.56 (((~trans(s449, s203)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s203)) <=> (until2p7(s203) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s203)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53222,plain,
% 10.08/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s203)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s203))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s203) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s203))))),
% 10.08/7.56 inference(monotonicity,[status(thm)],[53221])).
% 10.08/7.56 tff(53223,plain,
% 10.08/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s203)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s203))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s203) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s203)))),
% 10.08/7.56 inference(transitivity,[status(thm)],[53222, 53220])).
% 10.08/7.56 tff(53224,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s203)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s203))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53225,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s203) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s203))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53224, 53223])).
% 10.08/7.56 tff(53226,plain,
% 10.08/7.56 ($false),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53225, 49266, 53219, 51453, 53218, 53184])).
% 10.08/7.56 tff(53227,plain,((~trans(s449, s203)) | until2p7(s203) | (~xuntil6(s449))), inference(lemma,lemma(discharge,[]))).
% 10.08/7.56 tff(53228,plain,
% 10.08/7.56 (~trans(s449, s203)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53227, 51763, 49251])).
% 10.08/7.56 tff(53229,assumption,(~until2p7(s147)), introduced(assumption)).
% 10.08/7.56 tff(53230,assumption,(trans(s449, s147)), introduced(assumption)).
% 10.08/7.56 tff(53231,plain,
% 10.08/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s147) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s147)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s147) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s147)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53232,plain,
% 10.08/7.56 (((~trans(s449, s147)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s147)) <=> (until2p7(s147) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s147)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53233,plain,
% 10.08/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s147)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s147) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s147))))),
% 10.08/7.56 inference(monotonicity,[status(thm)],[53232])).
% 10.08/7.56 tff(53234,plain,
% 10.08/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s147)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s147) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s147)))),
% 10.08/7.56 inference(transitivity,[status(thm)],[53233, 53231])).
% 10.08/7.56 tff(53235,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s147)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s147))),
% 10.08/7.56 inference(quant_inst,[status(thm)],[])).
% 10.08/7.56 tff(53236,plain,
% 10.08/7.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s147) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s147))),
% 10.08/7.56 inference(modus_ponens,[status(thm)],[53235, 53234])).
% 10.08/7.56 tff(53237,plain,
% 10.08/7.56 ($false),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53236, 49266, 53230, 51453, 53229, 53184])).
% 10.08/7.56 tff(53238,plain,((~trans(s449, s147)) | until2p7(s147) | (~xuntil6(s449))), inference(lemma,lemma(discharge,[]))).
% 10.08/7.56 tff(53239,plain,
% 10.08/7.56 (~trans(s449, s147)),
% 10.08/7.56 inference(unit_resolution,[status(thm)],[53238, 52323, 49251])).
% 10.08/7.56 tff(53240,assumption,(~until2p7(s331)), introduced(assumption)).
% 10.08/7.56 tff(53241,assumption,(trans(s449, s331)), introduced(assumption)).
% 10.08/7.56 tff(53242,plain,
% 10.08/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s331) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s331)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s331) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s331)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53243,plain,
% 10.08/7.56 (((~trans(s449, s331)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s331)) <=> (until2p7(s331) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s331)))),
% 10.08/7.56 inference(rewrite,[status(thm)],[])).
% 10.08/7.56 tff(53244,plain,
% 10.08/7.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s331)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s331))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s331) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s331))))),
% 10.08/7.57 inference(monotonicity,[status(thm)],[53243])).
% 10.08/7.57 tff(53245,plain,
% 10.08/7.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s331)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s331))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s331) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s331)))),
% 10.08/7.57 inference(transitivity,[status(thm)],[53244, 53242])).
% 10.08/7.57 tff(53246,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s331)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s331))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53247,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s331) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s331))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53246, 53245])).
% 10.08/7.57 tff(53248,plain,
% 10.08/7.57 ($false),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53247, 49266, 53241, 51453, 53240, 53184])).
% 10.08/7.57 tff(53249,plain,((~trans(s449, s331)) | until2p7(s331) | (~xuntil6(s449))), inference(lemma,lemma(discharge,[]))).
% 10.08/7.57 tff(53250,plain,
% 10.08/7.57 (~trans(s449, s331)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53249, 50473, 49251])).
% 10.08/7.57 tff(53251,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53252,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s60, s61)) | until2p7(s61) | (~xuntil2p8(s60)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53253,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s60, s61)) | until2p7(s61) | (~xuntil2p8(s60))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53252, 53251])).
% 10.08/7.57 tff(53254,plain,
% 10.08/7.57 (until2p7(s61) | (~xuntil2p8(s60))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53253, 9522, 49295])).
% 10.08/7.57 tff(53255,plain,
% 10.08/7.57 (~xuntil2p8(s60)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53254, 53183])).
% 10.08/7.57 tff(53256,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53257,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s60) | xuntil2p8(s60) | (~until2p7(s60)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53258,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s60) | xuntil2p8(s60) | (~until2p7(s60))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53257, 53256])).
% 10.08/7.57 tff(53259,plain,
% 10.08/7.57 (xuntil2p8(s60) | (~until2p7(s60))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53258, 49280, 46171])).
% 10.08/7.57 tff(53260,plain,
% 10.08/7.57 (~until2p7(s60)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53259, 53255])).
% 10.08/7.57 tff(53261,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53262,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s59, s60)) | until2p7(s60) | (~xuntil2p8(s59)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53263,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s59, s60)) | until2p7(s60) | (~xuntil2p8(s59))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53262, 53261])).
% 10.08/7.57 tff(53264,plain,
% 10.08/7.57 (until2p7(s60) | (~xuntil2p8(s59))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53263, 9534, 49295])).
% 10.08/7.57 tff(53265,plain,
% 10.08/7.57 (~xuntil2p8(s59)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53264, 53260])).
% 10.08/7.57 tff(53266,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53267,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s59) | xuntil2p8(s59) | (~until2p7(s59)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53268,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s59) | xuntil2p8(s59) | (~until2p7(s59))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53267, 53266])).
% 10.08/7.57 tff(53269,plain,
% 10.08/7.57 (xuntil2p8(s59) | (~until2p7(s59))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53268, 49280, 46167])).
% 10.08/7.57 tff(53270,plain,
% 10.08/7.57 (~until2p7(s59)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53269, 53265])).
% 10.08/7.57 tff(53271,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53272,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s58, s59)) | until2p7(s59) | (~xuntil2p8(s58)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53273,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s58, s59)) | until2p7(s59) | (~xuntil2p8(s58))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53272, 53271])).
% 10.08/7.57 tff(53274,plain,
% 10.08/7.57 (until2p7(s59) | (~xuntil2p8(s58))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53273, 9550, 49295])).
% 10.08/7.57 tff(53275,plain,
% 10.08/7.57 (~xuntil2p8(s58)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53274, 53270])).
% 10.08/7.57 tff(53276,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53277,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s58) | xuntil2p8(s58) | (~until2p7(s58)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53278,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s58) | xuntil2p8(s58) | (~until2p7(s58))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53277, 53276])).
% 10.08/7.57 tff(53279,plain,
% 10.08/7.57 (xuntil2p8(s58) | (~until2p7(s58))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53278, 49280, 46163])).
% 10.08/7.57 tff(53280,plain,
% 10.08/7.57 (~until2p7(s58)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53279, 53275])).
% 10.08/7.57 tff(53281,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53282,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s57, s58)) | until2p7(s58) | (~xuntil2p8(s57)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53283,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s57, s58)) | until2p7(s58) | (~xuntil2p8(s57))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53282, 53281])).
% 10.08/7.57 tff(53284,plain,
% 10.08/7.57 (until2p7(s58) | (~xuntil2p8(s57))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53283, 4996, 49295])).
% 10.08/7.57 tff(53285,plain,
% 10.08/7.57 (~xuntil2p8(s57)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53284, 53280])).
% 10.08/7.57 tff(53286,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53287,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s57) | xuntil2p8(s57) | (~until2p7(s57)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53288,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s57) | xuntil2p8(s57) | (~until2p7(s57))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53287, 53286])).
% 10.08/7.57 tff(53289,plain,
% 10.08/7.57 (xuntil2p8(s57) | (~until2p7(s57))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53288, 49280, 46159])).
% 10.08/7.57 tff(53290,plain,
% 10.08/7.57 (~until2p7(s57)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53289, 53285])).
% 10.08/7.57 tff(53291,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53292,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s56, s57)) | until2p7(s57) | (~xuntil2p8(s56)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53293,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s56, s57)) | until2p7(s57) | (~xuntil2p8(s56))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53292, 53291])).
% 10.08/7.57 tff(53294,plain,
% 10.08/7.57 (until2p7(s57) | (~xuntil2p8(s56))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53293, 4862, 49295])).
% 10.08/7.57 tff(53295,plain,
% 10.08/7.57 (~xuntil2p8(s56)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53294, 53290])).
% 10.08/7.57 tff(53296,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53297,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s56) | xuntil2p8(s56) | (~until2p7(s56)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53298,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s56) | xuntil2p8(s56) | (~until2p7(s56))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53297, 53296])).
% 10.08/7.57 tff(53299,plain,
% 10.08/7.57 (xuntil2p8(s56) | (~until2p7(s56))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53298, 49280, 46155])).
% 10.08/7.57 tff(53300,plain,
% 10.08/7.57 (~until2p7(s56)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53299, 53295])).
% 10.08/7.57 tff(53301,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53302,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s55, s56)) | until2p7(s56) | (~xuntil2p8(s55)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53303,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s55, s56)) | until2p7(s56) | (~xuntil2p8(s55))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53302, 53301])).
% 10.08/7.57 tff(53304,plain,
% 10.08/7.57 (until2p7(s56) | (~xuntil2p8(s55))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53303, 4742, 49295])).
% 10.08/7.57 tff(53305,plain,
% 10.08/7.57 (~xuntil2p8(s55)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53304, 53300])).
% 10.08/7.57 tff(53306,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53307,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s55) | xuntil2p8(s55) | (~until2p7(s55)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53308,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s55) | xuntil2p8(s55) | (~until2p7(s55))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53307, 53306])).
% 10.08/7.57 tff(53309,plain,
% 10.08/7.57 (xuntil2p8(s55) | (~until2p7(s55))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53308, 49280, 46151])).
% 10.08/7.57 tff(53310,plain,
% 10.08/7.57 (~until2p7(s55)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53309, 53305])).
% 10.08/7.57 tff(53311,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53312,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s54, s55)) | until2p7(s55) | (~xuntil2p8(s54)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53313,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s54, s55)) | until2p7(s55) | (~xuntil2p8(s54))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53312, 53311])).
% 10.08/7.57 tff(53314,plain,
% 10.08/7.57 (until2p7(s55) | (~xuntil2p8(s54))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53313, 4594, 49295])).
% 10.08/7.57 tff(53315,plain,
% 10.08/7.57 (~xuntil2p8(s54)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53314, 53310])).
% 10.08/7.57 tff(53316,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53317,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s54) | xuntil2p8(s54) | (~until2p7(s54)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53318,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s54) | xuntil2p8(s54) | (~until2p7(s54))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53317, 53316])).
% 10.08/7.57 tff(53319,plain,
% 10.08/7.57 (xuntil2p8(s54) | (~until2p7(s54))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53318, 49280, 46147])).
% 10.08/7.57 tff(53320,plain,
% 10.08/7.57 (~until2p7(s54)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53319, 53315])).
% 10.08/7.57 tff(53321,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53322,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s53, s54)) | until2p7(s54) | (~xuntil2p8(s53)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53323,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s53, s54)) | until2p7(s54) | (~xuntil2p8(s53))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53322, 53321])).
% 10.08/7.57 tff(53324,plain,
% 10.08/7.57 (until2p7(s54) | (~xuntil2p8(s53))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53323, 4634, 49295])).
% 10.08/7.57 tff(53325,plain,
% 10.08/7.57 (~xuntil2p8(s53)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53324, 53320])).
% 10.08/7.57 tff(53326,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53327,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s53) | xuntil2p8(s53) | (~until2p7(s53)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53328,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s53) | xuntil2p8(s53) | (~until2p7(s53))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53327, 53326])).
% 10.08/7.57 tff(53329,plain,
% 10.08/7.57 (xuntil2p8(s53) | (~until2p7(s53))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53328, 49280, 46143])).
% 10.08/7.57 tff(53330,plain,
% 10.08/7.57 (~until2p7(s53)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53329, 53325])).
% 10.08/7.57 tff(53331,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53332,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s52, s53)) | until2p7(s53) | (~xuntil2p8(s52)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53333,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s52, s53)) | until2p7(s53) | (~xuntil2p8(s52))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53332, 53331])).
% 10.08/7.57 tff(53334,plain,
% 10.08/7.57 (until2p7(s53) | (~xuntil2p8(s52))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53333, 4513, 49295])).
% 10.08/7.57 tff(53335,plain,
% 10.08/7.57 (~xuntil2p8(s52)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53334, 53330])).
% 10.08/7.57 tff(53336,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53337,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s52) | xuntil2p8(s52) | (~until2p7(s52)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53338,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s52) | xuntil2p8(s52) | (~until2p7(s52))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53337, 53336])).
% 10.08/7.57 tff(53339,plain,
% 10.08/7.57 (xuntil2p8(s52) | (~until2p7(s52))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53338, 49280, 46139])).
% 10.08/7.57 tff(53340,plain,
% 10.08/7.57 (~until2p7(s52)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53339, 53335])).
% 10.08/7.57 tff(53341,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53342,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s51, s52)) | until2p7(s52) | (~xuntil2p8(s51)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53343,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s51, s52)) | until2p7(s52) | (~xuntil2p8(s51))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53342, 53341])).
% 10.08/7.57 tff(53344,plain,
% 10.08/7.57 (until2p7(s52) | (~xuntil2p8(s51))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53343, 4404, 49295])).
% 10.08/7.57 tff(53345,plain,
% 10.08/7.57 (~xuntil2p8(s51)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53344, 53340])).
% 10.08/7.57 tff(53346,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53347,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s51) | xuntil2p8(s51) | (~until2p7(s51)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53348,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s51) | xuntil2p8(s51) | (~until2p7(s51))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53347, 53346])).
% 10.08/7.57 tff(53349,plain,
% 10.08/7.57 (xuntil2p8(s51) | (~until2p7(s51))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53348, 49280, 46135])).
% 10.08/7.57 tff(53350,plain,
% 10.08/7.57 (~until2p7(s51)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53349, 53345])).
% 10.08/7.57 tff(53351,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53352,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s50, s51)) | until2p7(s51) | (~xuntil2p8(s50)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53353,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s50, s51)) | until2p7(s51) | (~xuntil2p8(s50))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53352, 53351])).
% 10.08/7.57 tff(53354,plain,
% 10.08/7.57 (until2p7(s51) | (~xuntil2p8(s50))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53353, 4355, 49295])).
% 10.08/7.57 tff(53355,plain,
% 10.08/7.57 (~xuntil2p8(s50)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53354, 53350])).
% 10.08/7.57 tff(53356,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53357,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s50) | xuntil2p8(s50) | (~until2p7(s50)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53358,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s50) | xuntil2p8(s50) | (~until2p7(s50))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53357, 53356])).
% 10.08/7.57 tff(53359,plain,
% 10.08/7.57 (xuntil2p8(s50) | (~until2p7(s50))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53358, 49280, 46131])).
% 10.08/7.57 tff(53360,plain,
% 10.08/7.57 (~until2p7(s50)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53359, 53355])).
% 10.08/7.57 tff(53361,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53362,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s49, s50)) | until2p7(s50) | (~xuntil2p8(s49)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53363,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s49, s50)) | until2p7(s50) | (~xuntil2p8(s49))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53362, 53361])).
% 10.08/7.57 tff(53364,plain,
% 10.08/7.57 (until2p7(s50) | (~xuntil2p8(s49))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53363, 3936, 49295])).
% 10.08/7.57 tff(53365,plain,
% 10.08/7.57 (~xuntil2p8(s49)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53364, 53360])).
% 10.08/7.57 tff(53366,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53367,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s49) | xuntil2p8(s49) | (~until2p7(s49)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53368,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s49) | xuntil2p8(s49) | (~until2p7(s49))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53367, 53366])).
% 10.08/7.57 tff(53369,plain,
% 10.08/7.57 (xuntil2p8(s49) | (~until2p7(s49))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53368, 49280, 46127])).
% 10.08/7.57 tff(53370,plain,
% 10.08/7.57 (~until2p7(s49)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53369, 53365])).
% 10.08/7.57 tff(53371,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53372,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s48, s49)) | until2p7(s49) | (~xuntil2p8(s48)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53373,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s48, s49)) | until2p7(s49) | (~xuntil2p8(s48))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53372, 53371])).
% 10.08/7.57 tff(53374,plain,
% 10.08/7.57 (until2p7(s49) | (~xuntil2p8(s48))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53373, 3746, 49295])).
% 10.08/7.57 tff(53375,plain,
% 10.08/7.57 (~xuntil2p8(s48)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53374, 53370])).
% 10.08/7.57 tff(53376,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53377,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s48) | xuntil2p8(s48) | (~until2p7(s48)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53378,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s48) | xuntil2p8(s48) | (~until2p7(s48))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53377, 53376])).
% 10.08/7.57 tff(53379,plain,
% 10.08/7.57 (xuntil2p8(s48) | (~until2p7(s48))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53378, 49280, 46123])).
% 10.08/7.57 tff(53380,plain,
% 10.08/7.57 (~until2p7(s48)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53379, 53375])).
% 10.08/7.57 tff(53381,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53382,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s47, s48)) | until2p7(s48) | (~xuntil2p8(s47)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53383,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s47, s48)) | until2p7(s48) | (~xuntil2p8(s47))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53382, 53381])).
% 10.08/7.57 tff(53384,plain,
% 10.08/7.57 (until2p7(s48) | (~xuntil2p8(s47))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53383, 3786, 49295])).
% 10.08/7.57 tff(53385,plain,
% 10.08/7.57 (~xuntil2p8(s47)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53384, 53380])).
% 10.08/7.57 tff(53386,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53387,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s47) | xuntil2p8(s47) | (~until2p7(s47)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53388,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s47) | xuntil2p8(s47) | (~until2p7(s47))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53387, 53386])).
% 10.08/7.57 tff(53389,plain,
% 10.08/7.57 (xuntil2p8(s47) | (~until2p7(s47))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53388, 49280, 46119])).
% 10.08/7.57 tff(53390,plain,
% 10.08/7.57 (~until2p7(s47)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53389, 53385])).
% 10.08/7.57 tff(53391,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53392,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s46, s47)) | until2p7(s47) | (~xuntil2p8(s46)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53393,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s46, s47)) | until2p7(s47) | (~xuntil2p8(s46))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53392, 53391])).
% 10.08/7.57 tff(53394,plain,
% 10.08/7.57 (until2p7(s47) | (~xuntil2p8(s46))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53393, 3815, 49295])).
% 10.08/7.57 tff(53395,plain,
% 10.08/7.57 (~xuntil2p8(s46)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53394, 53390])).
% 10.08/7.57 tff(53396,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53397,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s46) | xuntil2p8(s46) | (~until2p7(s46)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53398,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s46) | xuntil2p8(s46) | (~until2p7(s46))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53397, 53396])).
% 10.08/7.57 tff(53399,plain,
% 10.08/7.57 (xuntil2p8(s46) | (~until2p7(s46))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53398, 49280, 46115])).
% 10.08/7.57 tff(53400,plain,
% 10.08/7.57 (~until2p7(s46)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53399, 53395])).
% 10.08/7.57 tff(53401,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53402,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s45, s46)) | until2p7(s46) | (~xuntil2p8(s45)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53403,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s45, s46)) | until2p7(s46) | (~xuntil2p8(s45))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53402, 53401])).
% 10.08/7.57 tff(53404,plain,
% 10.08/7.57 (until2p7(s46) | (~xuntil2p8(s45))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53403, 3844, 49295])).
% 10.08/7.57 tff(53405,plain,
% 10.08/7.57 (~xuntil2p8(s45)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53404, 53400])).
% 10.08/7.57 tff(53406,plain,
% 10.08/7.57 (((~![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)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53407,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s45) | xuntil2p8(s45) | (~until2p7(s45)))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53408,plain,
% 10.08/7.57 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s45) | xuntil2p8(s45) | (~until2p7(s45))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53407, 53406])).
% 10.08/7.57 tff(53409,plain,
% 10.08/7.57 (xuntil2p8(s45) | (~until2p7(s45))),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53408, 49280, 46111])).
% 10.08/7.57 tff(53410,plain,
% 10.08/7.57 (~until2p7(s45)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53409, 53405])).
% 10.08/7.57 tff(53411,assumption,(~until2p7(s45)), introduced(assumption)).
% 10.08/7.57 tff(53412,assumption,(trans(s449, s45)), introduced(assumption)).
% 10.08/7.57 tff(53413,plain,
% 10.08/7.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s45) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s45)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s45) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s45)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53414,plain,
% 10.08/7.57 (((~trans(s449, s45)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s45)) <=> (until2p7(s45) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s45)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53415,plain,
% 10.08/7.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s45)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s45) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s45))))),
% 10.08/7.57 inference(monotonicity,[status(thm)],[53414])).
% 10.08/7.57 tff(53416,plain,
% 10.08/7.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s45)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s45) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s45)))),
% 10.08/7.57 inference(transitivity,[status(thm)],[53415, 53413])).
% 10.08/7.57 tff(53417,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s45)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s45))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53418,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s45) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s45))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53417, 53416])).
% 10.08/7.57 tff(53419,plain,
% 10.08/7.57 ($false),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53418, 49266, 53412, 51453, 53411, 53184])).
% 10.08/7.57 tff(53420,plain,((~trans(s449, s45)) | until2p7(s45) | (~xuntil6(s449))), inference(lemma,lemma(discharge,[]))).
% 10.08/7.57 tff(53421,plain,
% 10.08/7.57 (~trans(s449, s45)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53420, 53410, 49251])).
% 10.08/7.57 tff(53422,assumption,(~until2p7(s303)), introduced(assumption)).
% 10.08/7.57 tff(53423,assumption,(trans(s449, s303)), introduced(assumption)).
% 10.08/7.57 tff(53424,plain,
% 10.08/7.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s303) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s303)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s303) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s303)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53425,plain,
% 10.08/7.57 (((~trans(s449, s303)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s303)) <=> (until2p7(s303) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s303)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53426,plain,
% 10.08/7.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s303)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s303))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s303) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s303))))),
% 10.08/7.57 inference(monotonicity,[status(thm)],[53425])).
% 10.08/7.57 tff(53427,plain,
% 10.08/7.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s303)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s303))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s303) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s303)))),
% 10.08/7.57 inference(transitivity,[status(thm)],[53426, 53424])).
% 10.08/7.57 tff(53428,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s303)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s303))),
% 10.08/7.57 inference(quant_inst,[status(thm)],[])).
% 10.08/7.57 tff(53429,plain,
% 10.08/7.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s303) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s303))),
% 10.08/7.57 inference(modus_ponens,[status(thm)],[53428, 53427])).
% 10.08/7.57 tff(53430,plain,
% 10.08/7.57 ($false),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53429, 49266, 53423, 51453, 53422, 53184])).
% 10.08/7.57 tff(53431,plain,((~trans(s449, s303)) | until2p7(s303) | (~xuntil6(s449))), inference(lemma,lemma(discharge,[]))).
% 10.08/7.57 tff(53432,plain,
% 10.08/7.57 (~trans(s449, s303)),
% 10.08/7.57 inference(unit_resolution,[status(thm)],[53431, 50753, 49251])).
% 10.08/7.57 tff(53433,assumption,(~until2p7(s315)), introduced(assumption)).
% 10.08/7.57 tff(53434,assumption,(trans(s449, s315)), introduced(assumption)).
% 10.08/7.57 tff(53435,plain,
% 10.08/7.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s315) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s315)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s315) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s315)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53436,plain,
% 10.08/7.57 (((~trans(s449, s315)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s315)) <=> (until2p7(s315) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s315)))),
% 10.08/7.57 inference(rewrite,[status(thm)],[])).
% 10.08/7.57 tff(53437,plain,
% 10.08/7.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s315)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s315))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s315) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s315))))),
% 10.08/7.57 inference(monotonicity,[status(thm)],[53436])).
% 10.08/7.57 tff(53438,plain,
% 10.08/7.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s315)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s315))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s315) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s315)))),
% 10.08/7.58 inference(transitivity,[status(thm)],[53437, 53435])).
% 10.08/7.58 tff(53439,plain,
% 10.08/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s315)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s315))),
% 10.08/7.58 inference(quant_inst,[status(thm)],[])).
% 10.08/7.58 tff(53440,plain,
% 10.08/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s315) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s315))),
% 10.08/7.58 inference(modus_ponens,[status(thm)],[53439, 53438])).
% 10.08/7.58 tff(53441,plain,
% 10.08/7.58 ($false),
% 10.08/7.58 inference(unit_resolution,[status(thm)],[53440, 49266, 53434, 51453, 53433, 53184])).
% 10.08/7.58 tff(53442,plain,((~trans(s449, s315)) | until2p7(s315) | (~xuntil6(s449))), inference(lemma,lemma(discharge,[]))).
% 10.08/7.58 tff(53443,plain,
% 10.08/7.58 (~trans(s449, s315)),
% 10.08/7.58 inference(unit_resolution,[status(thm)],[53442, 50633, 49251])).
% 10.08/7.58 tff(53444,assumption,(~until2p7(s248)), introduced(assumption)).
% 10.08/7.58 tff(53445,assumption,(trans(s449, s248)), introduced(assumption)).
% 10.08/7.58 tff(53446,plain,
% 10.08/7.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s248) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s248)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s248) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s248)))),
% 10.08/7.58 inference(rewrite,[status(thm)],[])).
% 10.08/7.58 tff(53447,plain,
% 10.08/7.58 (((~trans(s449, s248)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s248)) <=> (until2p7(s248) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s248)))),
% 10.08/7.58 inference(rewrite,[status(thm)],[])).
% 10.08/7.58 tff(53448,plain,
% 10.08/7.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s248)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s248))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s248) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s248))))),
% 10.08/7.58 inference(monotonicity,[status(thm)],[53447])).
% 10.08/7.58 tff(53449,plain,
% 10.08/7.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s248)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s248))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s248) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s248)))),
% 10.08/7.58 inference(transitivity,[status(thm)],[53448, 53446])).
% 10.08/7.58 tff(53450,plain,
% 10.08/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s248)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s248))),
% 10.08/7.58 inference(quant_inst,[status(thm)],[])).
% 10.08/7.58 tff(53451,plain,
% 10.08/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s248) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s248))),
% 10.08/7.58 inference(modus_ponens,[status(thm)],[53450, 53449])).
% 10.08/7.58 tff(53452,plain,
% 10.08/7.58 ($false),
% 10.08/7.58 inference(unit_resolution,[status(thm)],[53451, 49266, 53445, 51453, 53444, 53184])).
% 10.08/7.58 tff(53453,plain,((~trans(s449, s248)) | until2p7(s248) | (~xuntil6(s449))), inference(lemma,lemma(discharge,[]))).
% 10.08/7.58 tff(53454,plain,
% 10.08/7.58 (~trans(s449, s248)),
% 10.08/7.58 inference(unit_resolution,[status(thm)],[53453, 51303, 49251])).
% 10.08/7.58 tff(53455,assumption,(~until2p7(s62)), introduced(assumption)).
% 10.08/7.58 tff(53456,assumption,(trans(s449, s62)), introduced(assumption)).
% 10.08/7.58 tff(53457,plain,
% 10.08/7.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s62) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s62)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s62) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s62)))),
% 10.08/7.58 inference(rewrite,[status(thm)],[])).
% 10.08/7.58 tff(53458,plain,
% 10.08/7.58 (((~trans(s449, s62)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s62)) <=> (until2p7(s62) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s62)))),
% 10.08/7.58 inference(rewrite,[status(thm)],[])).
% 10.08/7.58 tff(53459,plain,
% 10.08/7.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s62)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s62) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s62))))),
% 10.08/7.58 inference(monotonicity,[status(thm)],[53458])).
% 10.08/7.58 tff(53460,plain,
% 10.08/7.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s62)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s62) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s62)))),
% 10.08/7.58 inference(transitivity,[status(thm)],[53459, 53457])).
% 10.08/7.58 tff(53461,plain,
% 10.08/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s449, s62)) | (~last(s449)) | (~xuntil6(s449)) | until2p7(s62))),
% 10.08/7.58 inference(quant_inst,[status(thm)],[])).
% 10.08/7.58 tff(53462,plain,
% 10.08/7.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s62) | (~last(s449)) | (~xuntil6(s449)) | (~trans(s449, s62))),
% 10.08/7.58 inference(modus_ponens,[status(thm)],[53461, 53460])).
% 10.08/7.58 tff(53463,plain,
% 10.08/7.58 ($false),
% 10.08/7.58 inference(unit_resolution,[status(thm)],[53462, 49266, 53456, 51453, 53455, 53184])).
% 10.08/7.58 tff(53464,plain,((~trans(s449, s62)) | until2p7(s62) | (~xuntil6(s449))), inference(lemma,lemma(discharge,[]))).
% 10.08/7.58 tff(53465,plain,
% 10.08/7.58 (~trans(s449, s62)),
% 10.08/7.58 inference(unit_resolution,[status(thm)],[53464, 53173, 49251])).
% 10.08/7.58 tff(53466,plain,
% 10.08/7.58 (((~![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)))),
% 10.08/7.58 inference(rewrite,[status(thm)],[])).
% 10.08/7.58 tff(53467,plain,
% 10.08/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s44, s45)) | until2p7(s45) | (~xuntil2p8(s44)))),
% 10.08/7.58 inference(quant_inst,[status(thm)],[])).
% 10.08/7.58 tff(53468,plain,
% 10.08/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s44, s45)) | until2p7(s45) | (~xuntil2p8(s44))),
% 10.08/7.58 inference(modus_ponens,[status(thm)],[53467, 53466])).
% 10.08/7.58 tff(53469,plain,
% 10.08/7.58 (until2p7(s45) | (~xuntil2p8(s44))),
% 10.08/7.58 inference(unit_resolution,[status(thm)],[53468, 3873, 49295])).
% 10.08/7.58 tff(53470,plain,
% 10.08/7.58 (~xuntil2p8(s44)),
% 10.08/7.58 inference(unit_resolution,[status(thm)],[53469, 53410])).
% 10.08/7.58 tff(53471,plain,
% 10.08/7.58 (((~![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)))),
% 10.08/7.58 inference(rewrite,[status(thm)],[])).
% 10.08/7.58 tff(53472,plain,
% 10.08/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s44) | xuntil2p8(s44) | (~until2p7(s44)))),
% 10.08/7.58 inference(quant_inst,[status(thm)],[])).
% 10.08/7.58 tff(53473,plain,
% 10.08/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s44) | xuntil2p8(s44) | (~until2p7(s44))),
% 10.08/7.58 inference(modus_ponens,[status(thm)],[53472, 53471])).
% 10.08/7.58 tff(53474,plain,
% 10.08/7.58 (xuntil2p8(s44) | (~until2p7(s44))),
% 10.08/7.58 inference(unit_resolution,[status(thm)],[53473, 49280, 46107])).
% 10.08/7.58 tff(53475,plain,
% 10.08/7.58 (~until2p7(s44)),
% 10.08/7.58 inference(unit_resolution,[status(thm)],[53474, 53470])).
% 10.08/7.58 tff(53476,plain,
% 10.08/7.58 (((~![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)))),
% 10.08/7.58 inference(rewrite,[status(thm)],[])).
% 10.08/7.58 tff(53477,plain,
% 10.08/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s43, s44)) | until2p7(s44) | (~xuntil2p8(s43)))),
% 10.08/7.58 inference(quant_inst,[status(thm)],[])).
% 10.08/7.58 tff(53478,plain,
% 10.08/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s43, s44)) | until2p7(s44) | (~xuntil2p8(s43))),
% 10.08/7.58 inference(modus_ponens,[status(thm)],[53477, 53476])).
% 10.08/7.58 tff(53479,plain,
% 10.08/7.58 (until2p7(s44) | (~xuntil2p8(s43))),
% 10.08/7.58 inference(unit_resolution,[status(thm)],[53478, 3697, 49295])).
% 10.08/7.58 tff(53480,plain,
% 10.08/7.58 (~xuntil2p8(s43)),
% 10.08/7.58 inference(unit_resolution,[status(thm)],[53479, 53475])).
% 10.08/7.58 tff(53481,plain,
% 10.08/7.58 (((~![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)))),
% 10.08/7.58 inference(rewrite,[status(thm)],[])).
% 10.08/7.58 tff(53482,plain,
% 10.08/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s43) | xuntil2p8(s43) | (~until2p7(s43)))),
% 10.08/7.58 inference(quant_inst,[status(thm)],[])).
% 10.08/7.58 tff(53483,plain,
% 10.08/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s43) | xuntil2p8(s43) | (~until2p7(s43))),
% 10.08/7.58 inference(modus_ponens,[status(thm)],[53482, 53481])).
% 10.08/7.58 tff(53484,plain,
% 10.08/7.58 (xuntil2p8(s43) | (~until2p7(s43))),
% 10.08/7.58 inference(unit_resolution,[status(thm)],[53483, 49280, 46103])).
% 10.08/7.58 tff(53485,plain,
% 10.08/7.58 (~until2p7(s43)),
% 10.08/7.58 inference(unit_resolution,[status(thm)],[53484, 53480])).
% 10.08/7.58 tff(53486,plain,
% 10.08/7.58 (((~![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)))),
% 10.08/7.58 inference(rewrite,[status(thm)],[])).
% 10.08/7.58 tff(53487,plain,
% 10.08/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s42, s43)) | until2p7(s43) | (~xuntil2p8(s42)))),
% 10.08/7.58 inference(quant_inst,[status(thm)],[])).
% 10.08/7.58 tff(53488,plain,
% 10.08/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s42, s43)) | until2p7(s43) | (~xuntil2p8(s42))),
% 10.08/7.58 inference(modus_ponens,[status(thm)],[53487, 53486])).
% 10.08/7.58 tff(53489,plain,
% 10.08/7.58 (until2p7(s43) | (~xuntil2p8(s42))),
% 10.08/7.58 inference(unit_resolution,[status(thm)],[53488, 3610, 49295])).
% 10.08/7.58 tff(53490,plain,
% 10.08/7.58 (~xuntil2p8(s42)),
% 10.08/7.58 inference(unit_resolution,[status(thm)],[53489, 53485])).
% 10.08/7.58 tff(53491,plain,
% 10.08/7.58 (((~![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)))),
% 10.08/7.58 inference(rewrite,[status(thm)],[])).
% 10.08/7.58 tff(53492,plain,
% 10.08/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s42) | xuntil2p8(s42) | (~until2p7(s42)))),
% 10.08/7.58 inference(quant_inst,[status(thm)],[])).
% 10.08/7.58 tff(53493,plain,
% 10.08/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s42) | xuntil2p8(s42) | (~until2p7(s42))),
% 10.08/7.58 inference(modus_ponens,[status(thm)],[53492, 53491])).
% 10.08/7.58 tff(53494,plain,
% 10.08/7.58 (xuntil2p8(s42) | (~until2p7(s42))),
% 10.08/7.58 inference(unit_resolution,[status(thm)],[53493, 49280, 46099])).
% 10.08/7.58 tff(53495,plain,
% 10.08/7.58 (~until2p7(s42)),
% 10.08/7.58 inference(unit_resolution,[status(thm)],[53494, 53490])).
% 10.08/7.58 tff(53496,plain,
% 10.08/7.58 (((~![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)))),
% 10.08/7.58 inference(rewrite,[status(thm)],[])).
% 10.08/7.58 tff(53497,plain,
% 10.08/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s41, s42)) | until2p7(s42) | (~xuntil2p8(s41)))),
% 10.08/7.58 inference(quant_inst,[status(thm)],[])).
% 10.08/7.58 tff(53498,plain,
% 10.08/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s41, s42)) | until2p7(s42) | (~xuntil2p8(s41))),
% 10.08/7.58 inference(modus_ponens,[status(thm)],[53497, 53496])).
% 10.08/7.58 tff(53499,plain,
% 10.08/7.58 (until2p7(s42) | (~xuntil2p8(s41))),
% 10.08/7.58 inference(unit_resolution,[status(thm)],[53498, 3551, 49295])).
% 10.08/7.58 tff(53500,plain,
% 10.08/7.58 (~xuntil2p8(s41)),
% 10.08/7.58 inference(unit_resolution,[status(thm)],[53499, 53495])).
% 10.08/7.58 tff(53501,plain,
% 10.08/7.58 (((~![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)))),
% 10.14/7.58 inference(rewrite,[status(thm)],[])).
% 10.14/7.58 tff(53502,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s41) | xuntil2p8(s41) | (~until2p7(s41)))),
% 10.14/7.58 inference(quant_inst,[status(thm)],[])).
% 10.14/7.58 tff(53503,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s41) | xuntil2p8(s41) | (~until2p7(s41))),
% 10.14/7.58 inference(modus_ponens,[status(thm)],[53502, 53501])).
% 10.14/7.58 tff(53504,plain,
% 10.14/7.58 (xuntil2p8(s41) | (~until2p7(s41))),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53503, 49280, 46095])).
% 10.14/7.58 tff(53505,plain,
% 10.14/7.58 (~until2p7(s41)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53504, 53500])).
% 10.14/7.58 tff(53506,plain,
% 10.14/7.58 (((~![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)))),
% 10.14/7.58 inference(rewrite,[status(thm)],[])).
% 10.14/7.58 tff(53507,plain,
% 10.14/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s40, s41)) | until2p7(s41) | (~xuntil2p8(s40)))),
% 10.14/7.58 inference(quant_inst,[status(thm)],[])).
% 10.14/7.58 tff(53508,plain,
% 10.14/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s40, s41)) | until2p7(s41) | (~xuntil2p8(s40))),
% 10.14/7.58 inference(modus_ponens,[status(thm)],[53507, 53506])).
% 10.14/7.58 tff(53509,plain,
% 10.14/7.58 (until2p7(s41) | (~xuntil2p8(s40))),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53508, 3466, 49295])).
% 10.14/7.58 tff(53510,plain,
% 10.14/7.58 (~xuntil2p8(s40)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53509, 53505])).
% 10.14/7.58 tff(53511,plain,
% 10.14/7.58 (((~![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)))),
% 10.14/7.58 inference(rewrite,[status(thm)],[])).
% 10.14/7.58 tff(53512,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s40) | xuntil2p8(s40) | (~until2p7(s40)))),
% 10.14/7.58 inference(quant_inst,[status(thm)],[])).
% 10.14/7.58 tff(53513,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s40) | xuntil2p8(s40) | (~until2p7(s40))),
% 10.14/7.58 inference(modus_ponens,[status(thm)],[53512, 53511])).
% 10.14/7.58 tff(53514,plain,
% 10.14/7.58 (xuntil2p8(s40) | (~until2p7(s40))),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53513, 49280, 46091])).
% 10.14/7.58 tff(53515,plain,
% 10.14/7.58 (~until2p7(s40)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53514, 53510])).
% 10.14/7.58 tff(53516,plain,
% 10.14/7.58 (((~![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)))),
% 10.14/7.58 inference(rewrite,[status(thm)],[])).
% 10.14/7.58 tff(53517,plain,
% 10.14/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s39, s40)) | until2p7(s40) | (~xuntil2p8(s39)))),
% 10.14/7.58 inference(quant_inst,[status(thm)],[])).
% 10.14/7.58 tff(53518,plain,
% 10.14/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s39, s40)) | until2p7(s40) | (~xuntil2p8(s39))),
% 10.14/7.58 inference(modus_ponens,[status(thm)],[53517, 53516])).
% 10.14/7.58 tff(53519,plain,
% 10.14/7.58 (until2p7(s40) | (~xuntil2p8(s39))),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53518, 3416, 49295])).
% 10.14/7.58 tff(53520,plain,
% 10.14/7.58 (~xuntil2p8(s39)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53519, 53515])).
% 10.14/7.58 tff(53521,plain,
% 10.14/7.58 (((~![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)))),
% 10.14/7.58 inference(rewrite,[status(thm)],[])).
% 10.14/7.58 tff(53522,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s39) | xuntil2p8(s39) | (~until2p7(s39)))),
% 10.14/7.58 inference(quant_inst,[status(thm)],[])).
% 10.14/7.58 tff(53523,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s39) | xuntil2p8(s39) | (~until2p7(s39))),
% 10.14/7.58 inference(modus_ponens,[status(thm)],[53522, 53521])).
% 10.14/7.58 tff(53524,plain,
% 10.14/7.58 (xuntil2p8(s39) | (~until2p7(s39))),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53523, 49280, 46080])).
% 10.14/7.58 tff(53525,plain,
% 10.14/7.58 (~until2p7(s39)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53524, 53520])).
% 10.14/7.58 tff(53526,plain,
% 10.14/7.58 (((~![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)))),
% 10.14/7.58 inference(rewrite,[status(thm)],[])).
% 10.14/7.58 tff(53527,plain,
% 10.14/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s38, s39)) | until2p7(s39) | (~xuntil2p8(s38)))),
% 10.14/7.58 inference(quant_inst,[status(thm)],[])).
% 10.14/7.58 tff(53528,plain,
% 10.14/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s38, s39)) | until2p7(s39) | (~xuntil2p8(s38))),
% 10.14/7.58 inference(modus_ponens,[status(thm)],[53527, 53526])).
% 10.14/7.58 tff(53529,plain,
% 10.14/7.58 (until2p7(s39) | (~xuntil2p8(s38))),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53528, 3225, 49295])).
% 10.14/7.58 tff(53530,plain,
% 10.14/7.58 (~xuntil2p8(s38)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53529, 53525])).
% 10.14/7.58 tff(53531,plain,
% 10.14/7.58 (((~![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)))),
% 10.14/7.58 inference(rewrite,[status(thm)],[])).
% 10.14/7.58 tff(53532,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s38) | xuntil2p8(s38) | (~until2p7(s38)))),
% 10.14/7.58 inference(quant_inst,[status(thm)],[])).
% 10.14/7.58 tff(53533,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s38) | xuntil2p8(s38) | (~until2p7(s38))),
% 10.14/7.58 inference(modus_ponens,[status(thm)],[53532, 53531])).
% 10.14/7.58 tff(53534,plain,
% 10.14/7.58 (xuntil2p8(s38) | (~until2p7(s38))),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53533, 49280, 46082])).
% 10.14/7.58 tff(53535,plain,
% 10.14/7.58 (~until2p7(s38)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53534, 53530])).
% 10.14/7.58 tff(53536,plain,
% 10.14/7.58 (((~![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)))),
% 10.14/7.58 inference(rewrite,[status(thm)],[])).
% 10.14/7.58 tff(53537,plain,
% 10.14/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s37, s38)) | until2p7(s38) | (~xuntil2p8(s37)))),
% 10.14/7.58 inference(quant_inst,[status(thm)],[])).
% 10.14/7.58 tff(53538,plain,
% 10.14/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s37, s38)) | until2p7(s38) | (~xuntil2p8(s37))),
% 10.14/7.58 inference(modus_ponens,[status(thm)],[53537, 53536])).
% 10.14/7.58 tff(53539,plain,
% 10.14/7.58 (until2p7(s38) | (~xuntil2p8(s37))),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53538, 2924, 49295])).
% 10.14/7.58 tff(53540,plain,
% 10.14/7.58 (~xuntil2p8(s37)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53539, 53535])).
% 10.14/7.58 tff(53541,plain,
% 10.14/7.58 (~node4(s37)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[2953, 22, 46083])).
% 10.14/7.58 tff(53542,plain,
% 10.14/7.58 (((~![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)))),
% 10.14/7.58 inference(rewrite,[status(thm)],[])).
% 10.14/7.58 tff(53543,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s37) | xuntil2p8(s37) | (~until2p7(s37)))),
% 10.14/7.58 inference(quant_inst,[status(thm)],[])).
% 10.14/7.58 tff(53544,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s37) | xuntil2p8(s37) | (~until2p7(s37))),
% 10.14/7.58 inference(modus_ponens,[status(thm)],[53543, 53542])).
% 10.14/7.58 tff(53545,plain,
% 10.14/7.58 (xuntil2p8(s37) | (~until2p7(s37))),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53544, 49280, 53541])).
% 10.14/7.58 tff(53546,plain,
% 10.14/7.58 (~until2p7(s37)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53545, 53540])).
% 10.14/7.58 tff(53547,plain,
% 10.14/7.58 (((~![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)))),
% 10.14/7.58 inference(rewrite,[status(thm)],[])).
% 10.14/7.58 tff(53548,plain,
% 10.14/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s36, s37)) | until2p7(s37) | (~xuntil2p8(s36)))),
% 10.14/7.58 inference(quant_inst,[status(thm)],[])).
% 10.14/7.58 tff(53549,plain,
% 10.14/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s36, s37)) | until2p7(s37) | (~xuntil2p8(s36))),
% 10.14/7.58 inference(modus_ponens,[status(thm)],[53548, 53547])).
% 10.14/7.58 tff(53550,plain,
% 10.14/7.58 (until2p7(s37) | (~xuntil2p8(s36))),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53549, 2937, 49295])).
% 10.14/7.58 tff(53551,plain,
% 10.14/7.58 (~xuntil2p8(s36)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53550, 53546])).
% 10.14/7.58 tff(53552,plain,
% 10.14/7.58 (~always3(s36)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[2945, 46083])).
% 10.14/7.58 tff(53553,plain,
% 10.14/7.58 (~node4(s36)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[2949, 22, 53552])).
% 10.14/7.58 tff(53554,plain,
% 10.14/7.58 (((~![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)))),
% 10.14/7.58 inference(rewrite,[status(thm)],[])).
% 10.14/7.58 tff(53555,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s36) | xuntil2p8(s36) | (~until2p7(s36)))),
% 10.14/7.58 inference(quant_inst,[status(thm)],[])).
% 10.14/7.58 tff(53556,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s36) | xuntil2p8(s36) | (~until2p7(s36))),
% 10.14/7.58 inference(modus_ponens,[status(thm)],[53555, 53554])).
% 10.14/7.58 tff(53557,plain,
% 10.14/7.58 (xuntil2p8(s36) | (~until2p7(s36))),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53556, 49280, 53553])).
% 10.14/7.58 tff(53558,plain,
% 10.14/7.58 (~until2p7(s36)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53557, 53551])).
% 10.14/7.58 tff(53559,plain,
% 10.14/7.58 (((~![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)))),
% 10.14/7.58 inference(rewrite,[status(thm)],[])).
% 10.14/7.58 tff(53560,plain,
% 10.14/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s35, s36)) | until2p7(s36) | (~xuntil2p8(s35)))),
% 10.14/7.58 inference(quant_inst,[status(thm)],[])).
% 10.14/7.58 tff(53561,plain,
% 10.14/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s35, s36)) | until2p7(s36) | (~xuntil2p8(s35))),
% 10.14/7.58 inference(modus_ponens,[status(thm)],[53560, 53559])).
% 10.14/7.58 tff(53562,plain,
% 10.14/7.58 (until2p7(s36) | (~xuntil2p8(s35))),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53561, 2978, 49295])).
% 10.14/7.58 tff(53563,plain,
% 10.14/7.58 (~xuntil2p8(s35)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53562, 53558])).
% 10.14/7.58 tff(53564,plain,
% 10.14/7.58 (~always3(s35)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[2991, 53552])).
% 10.14/7.58 tff(53565,plain,
% 10.14/7.58 (~node4(s35)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[2995, 22, 53564])).
% 10.14/7.58 tff(53566,plain,
% 10.14/7.58 (((~![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)))),
% 10.14/7.58 inference(rewrite,[status(thm)],[])).
% 10.14/7.58 tff(53567,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s35) | xuntil2p8(s35) | (~until2p7(s35)))),
% 10.14/7.58 inference(quant_inst,[status(thm)],[])).
% 10.14/7.58 tff(53568,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s35) | xuntil2p8(s35) | (~until2p7(s35))),
% 10.14/7.58 inference(modus_ponens,[status(thm)],[53567, 53566])).
% 10.14/7.58 tff(53569,plain,
% 10.14/7.58 (xuntil2p8(s35) | (~until2p7(s35))),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53568, 49280, 53565])).
% 10.14/7.58 tff(53570,plain,
% 10.14/7.58 (~until2p7(s35)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53569, 53563])).
% 10.14/7.58 tff(53571,plain,
% 10.14/7.58 (((~![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)))),
% 10.14/7.58 inference(rewrite,[status(thm)],[])).
% 10.14/7.58 tff(53572,plain,
% 10.14/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s34, s35)) | until2p7(s35) | (~xuntil2p8(s34)))),
% 10.14/7.58 inference(quant_inst,[status(thm)],[])).
% 10.14/7.58 tff(53573,plain,
% 10.14/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s34, s35)) | until2p7(s35) | (~xuntil2p8(s34))),
% 10.14/7.58 inference(modus_ponens,[status(thm)],[53572, 53571])).
% 10.14/7.58 tff(53574,plain,
% 10.14/7.58 (until2p7(s35) | (~xuntil2p8(s34))),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53573, 3007, 49295])).
% 10.14/7.58 tff(53575,plain,
% 10.14/7.58 (~xuntil2p8(s34)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53574, 53570])).
% 10.14/7.58 tff(53576,plain,
% 10.14/7.58 (~always3(s34)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[3020, 53564])).
% 10.14/7.58 tff(53577,plain,
% 10.14/7.58 (~node4(s34)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[3024, 22, 53576])).
% 10.14/7.58 tff(53578,plain,
% 10.14/7.58 (((~![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)))),
% 10.14/7.58 inference(rewrite,[status(thm)],[])).
% 10.14/7.58 tff(53579,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s34) | xuntil2p8(s34) | (~until2p7(s34)))),
% 10.14/7.58 inference(quant_inst,[status(thm)],[])).
% 10.14/7.58 tff(53580,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s34) | xuntil2p8(s34) | (~until2p7(s34))),
% 10.14/7.58 inference(modus_ponens,[status(thm)],[53579, 53578])).
% 10.14/7.58 tff(53581,plain,
% 10.14/7.58 (xuntil2p8(s34) | (~until2p7(s34))),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53580, 49280, 53577])).
% 10.14/7.58 tff(53582,plain,
% 10.14/7.58 (~until2p7(s34)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53581, 53575])).
% 10.14/7.58 tff(53583,plain,
% 10.14/7.58 (((~![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)))),
% 10.14/7.58 inference(rewrite,[status(thm)],[])).
% 10.14/7.58 tff(53584,plain,
% 10.14/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s33, s34)) | until2p7(s34) | (~xuntil2p8(s33)))),
% 10.14/7.58 inference(quant_inst,[status(thm)],[])).
% 10.14/7.58 tff(53585,plain,
% 10.14/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s33, s34)) | until2p7(s34) | (~xuntil2p8(s33))),
% 10.14/7.58 inference(modus_ponens,[status(thm)],[53584, 53583])).
% 10.14/7.58 tff(53586,plain,
% 10.14/7.58 (until2p7(s34) | (~xuntil2p8(s33))),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53585, 2843, 49295])).
% 10.14/7.58 tff(53587,plain,
% 10.14/7.58 (~xuntil2p8(s33)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53586, 53582])).
% 10.14/7.58 tff(53588,plain,
% 10.14/7.58 (~always3(s33)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[2851, 53576])).
% 10.14/7.58 tff(53589,plain,
% 10.14/7.58 (~node4(s33)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[2705, 22, 53588])).
% 10.14/7.58 tff(53590,plain,
% 10.14/7.58 (((~![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)))),
% 10.14/7.58 inference(rewrite,[status(thm)],[])).
% 10.14/7.58 tff(53591,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s33) | xuntil2p8(s33) | (~until2p7(s33)))),
% 10.14/7.58 inference(quant_inst,[status(thm)],[])).
% 10.14/7.58 tff(53592,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s33) | xuntil2p8(s33) | (~until2p7(s33))),
% 10.14/7.58 inference(modus_ponens,[status(thm)],[53591, 53590])).
% 10.14/7.58 tff(53593,plain,
% 10.14/7.58 (xuntil2p8(s33) | (~until2p7(s33))),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53592, 49280, 53589])).
% 10.14/7.58 tff(53594,plain,
% 10.14/7.58 (~until2p7(s33)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53593, 53587])).
% 10.14/7.58 tff(53595,plain,
% 10.14/7.58 (((~![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)))),
% 10.14/7.58 inference(rewrite,[status(thm)],[])).
% 10.14/7.58 tff(53596,plain,
% 10.14/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s32, s33)) | until2p7(s33) | (~xuntil2p8(s32)))),
% 10.14/7.58 inference(quant_inst,[status(thm)],[])).
% 10.14/7.58 tff(53597,plain,
% 10.14/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s32, s33)) | until2p7(s33) | (~xuntil2p8(s32))),
% 10.14/7.58 inference(modus_ponens,[status(thm)],[53596, 53595])).
% 10.14/7.58 tff(53598,plain,
% 10.14/7.58 (until2p7(s33) | (~xuntil2p8(s32))),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53597, 2689, 49295])).
% 10.14/7.58 tff(53599,plain,
% 10.14/7.58 (~xuntil2p8(s32)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53598, 53594])).
% 10.14/7.58 tff(53600,plain,
% 10.14/7.58 (~always3(s32)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[2697, 53588])).
% 10.14/7.58 tff(53601,plain,
% 10.14/7.58 (~node4(s32)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[2701, 22, 53600])).
% 10.14/7.58 tff(53602,plain,
% 10.14/7.58 (((~![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)))),
% 10.14/7.58 inference(rewrite,[status(thm)],[])).
% 10.14/7.58 tff(53603,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s32) | xuntil2p8(s32) | (~until2p7(s32)))),
% 10.14/7.58 inference(quant_inst,[status(thm)],[])).
% 10.14/7.58 tff(53604,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s32) | xuntil2p8(s32) | (~until2p7(s32))),
% 10.14/7.58 inference(modus_ponens,[status(thm)],[53603, 53602])).
% 10.14/7.58 tff(53605,plain,
% 10.14/7.58 (xuntil2p8(s32) | (~until2p7(s32))),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53604, 49280, 53601])).
% 10.14/7.58 tff(53606,plain,
% 10.14/7.58 (~until2p7(s32)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53605, 53599])).
% 10.14/7.58 tff(53607,plain,
% 10.14/7.58 (((~![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)))),
% 10.14/7.58 inference(rewrite,[status(thm)],[])).
% 10.14/7.58 tff(53608,plain,
% 10.14/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s31, s32)) | until2p7(s32) | (~xuntil2p8(s31)))),
% 10.14/7.58 inference(quant_inst,[status(thm)],[])).
% 10.14/7.58 tff(53609,plain,
% 10.14/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s31, s32)) | until2p7(s32) | (~xuntil2p8(s31))),
% 10.14/7.58 inference(modus_ponens,[status(thm)],[53608, 53607])).
% 10.14/7.58 tff(53610,plain,
% 10.14/7.58 (until2p7(s32) | (~xuntil2p8(s31))),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53609, 2609, 49295])).
% 10.14/7.58 tff(53611,plain,
% 10.14/7.58 (~xuntil2p8(s31)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53610, 53606])).
% 10.14/7.58 tff(53612,plain,
% 10.14/7.58 (~always3(s31)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[2617, 53600])).
% 10.14/7.58 tff(53613,plain,
% 10.14/7.58 (~node4(s31)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[2481, 22, 53612])).
% 10.14/7.58 tff(53614,plain,
% 10.14/7.58 (((~![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)))),
% 10.14/7.58 inference(rewrite,[status(thm)],[])).
% 10.14/7.58 tff(53615,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s31) | xuntil2p8(s31) | (~until2p7(s31)))),
% 10.14/7.58 inference(quant_inst,[status(thm)],[])).
% 10.14/7.58 tff(53616,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s31) | xuntil2p8(s31) | (~until2p7(s31))),
% 10.14/7.58 inference(modus_ponens,[status(thm)],[53615, 53614])).
% 10.14/7.58 tff(53617,plain,
% 10.14/7.58 (xuntil2p8(s31) | (~until2p7(s31))),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53616, 49280, 53613])).
% 10.14/7.58 tff(53618,plain,
% 10.14/7.58 (~until2p7(s31)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53617, 53611])).
% 10.14/7.58 tff(53619,plain,
% 10.14/7.58 (((~![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)))),
% 10.14/7.58 inference(rewrite,[status(thm)],[])).
% 10.14/7.58 tff(53620,plain,
% 10.14/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s30, s31)) | until2p7(s31) | (~xuntil2p8(s30)))),
% 10.14/7.58 inference(quant_inst,[status(thm)],[])).
% 10.14/7.58 tff(53621,plain,
% 10.14/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s30, s31)) | until2p7(s31) | (~xuntil2p8(s30))),
% 10.14/7.58 inference(modus_ponens,[status(thm)],[53620, 53619])).
% 10.14/7.58 tff(53622,plain,
% 10.14/7.58 (until2p7(s31) | (~xuntil2p8(s30))),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53621, 2465, 49295])).
% 10.14/7.58 tff(53623,plain,
% 10.14/7.58 (~xuntil2p8(s30)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53622, 53618])).
% 10.14/7.58 tff(53624,plain,
% 10.14/7.58 (~always3(s30)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[2473, 53612])).
% 10.14/7.58 tff(53625,plain,
% 10.14/7.58 (~node4(s30)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[2477, 22, 53624])).
% 10.14/7.58 tff(53626,plain,
% 10.14/7.58 (((~![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)))),
% 10.14/7.58 inference(rewrite,[status(thm)],[])).
% 10.14/7.58 tff(53627,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s30) | xuntil2p8(s30) | (~until2p7(s30)))),
% 10.14/7.58 inference(quant_inst,[status(thm)],[])).
% 10.14/7.58 tff(53628,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s30) | xuntil2p8(s30) | (~until2p7(s30))),
% 10.14/7.58 inference(modus_ponens,[status(thm)],[53627, 53626])).
% 10.14/7.58 tff(53629,plain,
% 10.14/7.58 (xuntil2p8(s30) | (~until2p7(s30))),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53628, 49280, 53625])).
% 10.14/7.58 tff(53630,plain,
% 10.14/7.58 (~until2p7(s30)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53629, 53623])).
% 10.14/7.58 tff(53631,plain,
% 10.14/7.58 (((~![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)))),
% 10.14/7.58 inference(rewrite,[status(thm)],[])).
% 10.14/7.58 tff(53632,plain,
% 10.14/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s29, s30)) | until2p7(s30) | (~xuntil2p8(s29)))),
% 10.14/7.58 inference(quant_inst,[status(thm)],[])).
% 10.14/7.58 tff(53633,plain,
% 10.14/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s29, s30)) | until2p7(s30) | (~xuntil2p8(s29))),
% 10.14/7.58 inference(modus_ponens,[status(thm)],[53632, 53631])).
% 10.14/7.58 tff(53634,plain,
% 10.14/7.58 (until2p7(s30) | (~xuntil2p8(s29))),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53633, 2220, 49295])).
% 10.14/7.58 tff(53635,plain,
% 10.14/7.58 (~xuntil2p8(s29)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53634, 53630])).
% 10.14/7.58 tff(53636,plain,
% 10.14/7.58 (~always3(s29)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[2228, 53624])).
% 10.14/7.58 tff(53637,plain,
% 10.14/7.58 (~node4(s29)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[2047, 22, 53636])).
% 10.14/7.58 tff(53638,plain,
% 10.14/7.58 (((~![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)))),
% 10.14/7.58 inference(rewrite,[status(thm)],[])).
% 10.14/7.58 tff(53639,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s29) | xuntil2p8(s29) | (~until2p7(s29)))),
% 10.14/7.58 inference(quant_inst,[status(thm)],[])).
% 10.14/7.58 tff(53640,plain,
% 10.14/7.58 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s29) | xuntil2p8(s29) | (~until2p7(s29))),
% 10.14/7.58 inference(modus_ponens,[status(thm)],[53639, 53638])).
% 10.14/7.58 tff(53641,plain,
% 10.14/7.58 (xuntil2p8(s29) | (~until2p7(s29))),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53640, 49280, 53637])).
% 10.14/7.58 tff(53642,plain,
% 10.14/7.58 (~until2p7(s29)),
% 10.14/7.58 inference(unit_resolution,[status(thm)],[53641, 53635])).
% 10.14/7.59 tff(53643,plain,
% 10.14/7.59 (((~![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)))),
% 10.14/7.59 inference(rewrite,[status(thm)],[])).
% 10.14/7.59 tff(53644,plain,
% 10.14/7.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s28, s29)) | until2p7(s29) | (~xuntil2p8(s28)))),
% 10.14/7.59 inference(quant_inst,[status(thm)],[])).
% 10.14/7.59 tff(53645,plain,
% 10.14/7.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s28, s29)) | until2p7(s29) | (~xuntil2p8(s28))),
% 10.14/7.59 inference(modus_ponens,[status(thm)],[53644, 53643])).
% 10.14/7.59 tff(53646,plain,
% 10.14/7.59 (until2p7(s29) | (~xuntil2p8(s28))),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53645, 2031, 49295])).
% 10.14/7.59 tff(53647,plain,
% 10.14/7.59 (~xuntil2p8(s28)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53646, 53642])).
% 10.14/7.59 tff(53648,plain,
% 10.14/7.59 (~always3(s28)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[2039, 53636])).
% 10.14/7.59 tff(53649,plain,
% 10.14/7.59 (~node4(s28)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[2043, 22, 53648])).
% 10.14/7.59 tff(53650,plain,
% 10.14/7.59 (((~![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)))),
% 10.14/7.59 inference(rewrite,[status(thm)],[])).
% 10.14/7.59 tff(53651,plain,
% 10.14/7.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s28) | xuntil2p8(s28) | (~until2p7(s28)))),
% 10.14/7.59 inference(quant_inst,[status(thm)],[])).
% 10.14/7.59 tff(53652,plain,
% 10.14/7.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s28) | xuntil2p8(s28) | (~until2p7(s28))),
% 10.14/7.59 inference(modus_ponens,[status(thm)],[53651, 53650])).
% 10.14/7.59 tff(53653,plain,
% 10.14/7.59 (xuntil2p8(s28) | (~until2p7(s28))),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53652, 49280, 53649])).
% 10.14/7.59 tff(53654,plain,
% 10.14/7.59 (~until2p7(s28)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53653, 53647])).
% 10.14/7.59 tff(53655,plain,
% 10.14/7.59 (((~![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)))),
% 10.14/7.59 inference(rewrite,[status(thm)],[])).
% 10.14/7.59 tff(53656,plain,
% 10.14/7.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s27, s28)) | until2p7(s28) | (~xuntil2p8(s27)))),
% 10.14/7.59 inference(quant_inst,[status(thm)],[])).
% 10.14/7.59 tff(53657,plain,
% 10.14/7.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s27, s28)) | until2p7(s28) | (~xuntil2p8(s27))),
% 10.14/7.59 inference(modus_ponens,[status(thm)],[53656, 53655])).
% 10.14/7.59 tff(53658,plain,
% 10.14/7.59 (until2p7(s28) | (~xuntil2p8(s27))),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53657, 2071, 49295])).
% 10.14/7.59 tff(53659,plain,
% 10.14/7.59 (~xuntil2p8(s27)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53658, 53654])).
% 10.14/7.59 tff(53660,plain,
% 10.14/7.59 (~always3(s27)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[2084, 53648])).
% 10.14/7.59 tff(53661,plain,
% 10.14/7.59 (~node4(s27)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[2088, 22, 53660])).
% 10.14/7.59 tff(53662,plain,
% 10.14/7.59 (((~![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)))),
% 10.14/7.59 inference(rewrite,[status(thm)],[])).
% 10.14/7.59 tff(53663,plain,
% 10.14/7.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s27) | xuntil2p8(s27) | (~until2p7(s27)))),
% 10.14/7.59 inference(quant_inst,[status(thm)],[])).
% 10.14/7.59 tff(53664,plain,
% 10.14/7.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s27) | xuntil2p8(s27) | (~until2p7(s27))),
% 10.14/7.59 inference(modus_ponens,[status(thm)],[53663, 53662])).
% 10.14/7.59 tff(53665,plain,
% 10.14/7.59 (xuntil2p8(s27) | (~until2p7(s27))),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53664, 49280, 53661])).
% 10.14/7.59 tff(53666,plain,
% 10.14/7.59 (~until2p7(s27)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53665, 53659])).
% 10.14/7.59 tff(53667,plain,
% 10.14/7.59 (((~![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)))),
% 10.14/7.59 inference(rewrite,[status(thm)],[])).
% 10.14/7.59 tff(53668,plain,
% 10.14/7.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s26, s27)) | until2p7(s27) | (~xuntil2p8(s26)))),
% 10.14/7.59 inference(quant_inst,[status(thm)],[])).
% 10.14/7.59 tff(53669,plain,
% 10.14/7.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s26, s27)) | until2p7(s27) | (~xuntil2p8(s26))),
% 10.14/7.59 inference(modus_ponens,[status(thm)],[53668, 53667])).
% 10.14/7.59 tff(53670,plain,
% 10.14/7.59 (until2p7(s27) | (~xuntil2p8(s26))),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53669, 2100, 49295])).
% 10.14/7.59 tff(53671,plain,
% 10.14/7.59 (~xuntil2p8(s26)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53670, 53666])).
% 10.14/7.59 tff(53672,plain,
% 10.14/7.59 (~always3(s26)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[2113, 53660])).
% 10.14/7.59 tff(53673,plain,
% 10.14/7.59 (~node4(s26)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[2117, 22, 53672])).
% 10.14/7.59 tff(53674,plain,
% 10.14/7.59 (((~![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)))),
% 10.14/7.59 inference(rewrite,[status(thm)],[])).
% 10.14/7.59 tff(53675,plain,
% 10.14/7.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s26) | xuntil2p8(s26) | (~until2p7(s26)))),
% 10.14/7.59 inference(quant_inst,[status(thm)],[])).
% 10.14/7.59 tff(53676,plain,
% 10.14/7.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s26) | xuntil2p8(s26) | (~until2p7(s26))),
% 10.14/7.59 inference(modus_ponens,[status(thm)],[53675, 53674])).
% 10.14/7.59 tff(53677,plain,
% 10.14/7.59 (xuntil2p8(s26) | (~until2p7(s26))),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53676, 49280, 53673])).
% 10.14/7.59 tff(53678,plain,
% 10.14/7.59 (~until2p7(s26)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53677, 53671])).
% 10.14/7.59 tff(53679,plain,
% 10.14/7.59 (((~![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)))),
% 10.14/7.59 inference(rewrite,[status(thm)],[])).
% 10.14/7.59 tff(53680,plain,
% 10.14/7.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s25, s26)) | until2p7(s26) | (~xuntil2p8(s25)))),
% 10.14/7.59 inference(quant_inst,[status(thm)],[])).
% 10.14/7.59 tff(53681,plain,
% 10.14/7.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s25, s26)) | until2p7(s26) | (~xuntil2p8(s25))),
% 10.14/7.59 inference(modus_ponens,[status(thm)],[53680, 53679])).
% 10.14/7.59 tff(53682,plain,
% 10.14/7.59 (until2p7(s26) | (~xuntil2p8(s25))),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53681, 1950, 49295])).
% 10.14/7.59 tff(53683,plain,
% 10.14/7.59 (~xuntil2p8(s25)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53682, 53678])).
% 10.14/7.59 tff(53684,plain,
% 10.14/7.59 (~always3(s25)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[1958, 53672])).
% 10.14/7.59 tff(53685,plain,
% 10.14/7.59 (~node4(s25)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[1852, 22, 53684])).
% 10.14/7.59 tff(53686,plain,
% 10.14/7.59 (((~![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)))),
% 10.14/7.59 inference(rewrite,[status(thm)],[])).
% 10.14/7.59 tff(53687,plain,
% 10.14/7.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s25) | xuntil2p8(s25) | (~until2p7(s25)))),
% 10.14/7.59 inference(quant_inst,[status(thm)],[])).
% 10.14/7.59 tff(53688,plain,
% 10.14/7.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s25) | xuntil2p8(s25) | (~until2p7(s25))),
% 10.14/7.59 inference(modus_ponens,[status(thm)],[53687, 53686])).
% 10.14/7.59 tff(53689,plain,
% 10.14/7.59 (xuntil2p8(s25) | (~until2p7(s25))),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53688, 49280, 53685])).
% 10.14/7.59 tff(53690,plain,
% 10.14/7.59 (~until2p7(s25)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53689, 53683])).
% 10.14/7.59 tff(53691,plain,
% 10.14/7.59 (((~![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)))),
% 10.14/7.59 inference(rewrite,[status(thm)],[])).
% 10.14/7.59 tff(53692,plain,
% 10.14/7.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s24, s25)) | until2p7(s25) | (~xuntil2p8(s24)))),
% 10.14/7.59 inference(quant_inst,[status(thm)],[])).
% 10.14/7.59 tff(53693,plain,
% 10.14/7.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s24, s25)) | until2p7(s25) | (~xuntil2p8(s24))),
% 10.14/7.59 inference(modus_ponens,[status(thm)],[53692, 53691])).
% 10.14/7.59 tff(53694,plain,
% 10.14/7.59 (until2p7(s25) | (~xuntil2p8(s24))),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53693, 1836, 49295])).
% 10.14/7.59 tff(53695,plain,
% 10.14/7.59 (~xuntil2p8(s24)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53694, 53690])).
% 10.14/7.59 tff(53696,plain,
% 10.14/7.59 (~always3(s24)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[1844, 53684])).
% 10.14/7.59 tff(53697,plain,
% 10.14/7.59 (~node4(s24)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[1848, 22, 53696])).
% 10.14/7.59 tff(53698,plain,
% 10.14/7.59 (((~![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)))),
% 10.14/7.59 inference(rewrite,[status(thm)],[])).
% 10.14/7.59 tff(53699,plain,
% 10.14/7.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s24) | xuntil2p8(s24) | (~until2p7(s24)))),
% 10.14/7.59 inference(quant_inst,[status(thm)],[])).
% 10.14/7.59 tff(53700,plain,
% 10.14/7.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s24) | xuntil2p8(s24) | (~until2p7(s24))),
% 10.14/7.59 inference(modus_ponens,[status(thm)],[53699, 53698])).
% 10.14/7.59 tff(53701,plain,
% 10.14/7.59 (xuntil2p8(s24) | (~until2p7(s24))),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53700, 49280, 53697])).
% 10.14/7.59 tff(53702,plain,
% 10.14/7.59 (~until2p7(s24)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53701, 53695])).
% 10.14/7.59 tff(53703,plain,
% 10.14/7.59 (((~![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)))),
% 10.14/7.59 inference(rewrite,[status(thm)],[])).
% 10.14/7.59 tff(53704,plain,
% 10.14/7.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s23, s24)) | until2p7(s24) | (~xuntil2p8(s23)))),
% 10.14/7.59 inference(quant_inst,[status(thm)],[])).
% 10.14/7.59 tff(53705,plain,
% 10.14/7.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s23, s24)) | until2p7(s24) | (~xuntil2p8(s23))),
% 10.14/7.59 inference(modus_ponens,[status(thm)],[53704, 53703])).
% 10.14/7.59 tff(53706,plain,
% 10.14/7.59 (until2p7(s24) | (~xuntil2p8(s23))),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53705, 1720, 49295])).
% 10.14/7.59 tff(53707,plain,
% 10.14/7.59 (~xuntil2p8(s23)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53706, 53702])).
% 10.14/7.59 tff(53708,plain,
% 10.14/7.59 (~always3(s23)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[1728, 53696])).
% 10.14/7.59 tff(53709,plain,
% 10.14/7.59 (~node4(s23)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[1608, 22, 53708])).
% 10.14/7.59 tff(53710,plain,
% 10.14/7.59 (((~![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)))),
% 10.14/7.59 inference(rewrite,[status(thm)],[])).
% 10.14/7.59 tff(53711,plain,
% 10.14/7.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s23) | xuntil2p8(s23) | (~until2p7(s23)))),
% 10.14/7.59 inference(quant_inst,[status(thm)],[])).
% 10.14/7.59 tff(53712,plain,
% 10.14/7.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s23) | xuntil2p8(s23) | (~until2p7(s23))),
% 10.14/7.59 inference(modus_ponens,[status(thm)],[53711, 53710])).
% 10.14/7.59 tff(53713,plain,
% 10.14/7.59 (xuntil2p8(s23) | (~until2p7(s23))),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53712, 49280, 53709])).
% 10.14/7.59 tff(53714,plain,
% 10.14/7.59 (~until2p7(s23)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53713, 53707])).
% 10.14/7.59 tff(53715,plain,
% 10.14/7.59 (((~![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)))),
% 10.14/7.59 inference(rewrite,[status(thm)],[])).
% 10.14/7.59 tff(53716,plain,
% 10.14/7.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s22, s23)) | until2p7(s23) | (~xuntil2p8(s22)))),
% 10.14/7.59 inference(quant_inst,[status(thm)],[])).
% 10.14/7.59 tff(53717,plain,
% 10.14/7.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s22, s23)) | until2p7(s23) | (~xuntil2p8(s22))),
% 10.14/7.59 inference(modus_ponens,[status(thm)],[53716, 53715])).
% 10.14/7.59 tff(53718,plain,
% 10.14/7.59 (until2p7(s23) | (~xuntil2p8(s22))),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53717, 1592, 49295])).
% 10.14/7.59 tff(53719,plain,
% 10.14/7.59 (~xuntil2p8(s22)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53718, 53714])).
% 10.14/7.59 tff(53720,plain,
% 10.14/7.59 (~always3(s22)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[1600, 53708])).
% 10.14/7.59 tff(53721,plain,
% 10.14/7.59 (~node4(s22)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[1604, 22, 53720])).
% 10.14/7.59 tff(53722,plain,
% 10.14/7.59 (((~![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)))),
% 10.14/7.59 inference(rewrite,[status(thm)],[])).
% 10.14/7.59 tff(53723,plain,
% 10.14/7.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s22) | xuntil2p8(s22) | (~until2p7(s22)))),
% 10.14/7.59 inference(quant_inst,[status(thm)],[])).
% 10.14/7.59 tff(53724,plain,
% 10.14/7.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s22) | xuntil2p8(s22) | (~until2p7(s22))),
% 10.14/7.59 inference(modus_ponens,[status(thm)],[53723, 53722])).
% 10.14/7.59 tff(53725,plain,
% 10.14/7.59 (xuntil2p8(s22) | (~until2p7(s22))),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53724, 49280, 53721])).
% 10.14/7.59 tff(53726,plain,
% 10.14/7.59 (~until2p7(s22)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53725, 53719])).
% 10.14/7.59 tff(53727,plain,
% 10.14/7.59 (((~![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)))),
% 10.14/7.59 inference(rewrite,[status(thm)],[])).
% 10.14/7.59 tff(53728,plain,
% 10.14/7.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s21, s22)) | until2p7(s22) | (~xuntil2p8(s21)))),
% 10.14/7.59 inference(quant_inst,[status(thm)],[])).
% 10.14/7.59 tff(53729,plain,
% 10.14/7.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s21, s22)) | until2p7(s22) | (~xuntil2p8(s21))),
% 10.14/7.59 inference(modus_ponens,[status(thm)],[53728, 53727])).
% 10.14/7.59 tff(53730,plain,
% 10.14/7.59 (until2p7(s22) | (~xuntil2p8(s21))),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53729, 1632, 49295])).
% 10.14/7.59 tff(53731,plain,
% 10.14/7.59 (~xuntil2p8(s21)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53730, 53726])).
% 10.14/7.59 tff(53732,plain,
% 10.14/7.59 (~always3(s21)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[1645, 53720])).
% 10.14/7.59 tff(53733,plain,
% 10.14/7.59 (~node4(s21)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[1649, 22, 53732])).
% 10.14/7.59 tff(53734,plain,
% 10.14/7.59 (((~![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)))),
% 10.14/7.59 inference(rewrite,[status(thm)],[])).
% 10.14/7.59 tff(53735,plain,
% 10.14/7.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s21) | xuntil2p8(s21) | (~until2p7(s21)))),
% 10.14/7.59 inference(quant_inst,[status(thm)],[])).
% 10.14/7.59 tff(53736,plain,
% 10.14/7.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s21) | xuntil2p8(s21) | (~until2p7(s21))),
% 10.14/7.59 inference(modus_ponens,[status(thm)],[53735, 53734])).
% 10.14/7.59 tff(53737,plain,
% 10.14/7.59 (xuntil2p8(s21) | (~until2p7(s21))),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53736, 49280, 53733])).
% 10.14/7.59 tff(53738,plain,
% 10.14/7.59 (~until2p7(s21)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53737, 53731])).
% 10.14/7.59 tff(53739,plain,
% 10.14/7.59 (((~![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)))),
% 10.14/7.59 inference(rewrite,[status(thm)],[])).
% 10.14/7.59 tff(53740,plain,
% 10.14/7.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s20, s21)) | until2p7(s21) | (~xuntil2p8(s20)))),
% 10.14/7.59 inference(quant_inst,[status(thm)],[])).
% 10.14/7.59 tff(53741,plain,
% 10.14/7.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s20, s21)) | until2p7(s21) | (~xuntil2p8(s20))),
% 10.14/7.59 inference(modus_ponens,[status(thm)],[53740, 53739])).
% 10.14/7.59 tff(53742,plain,
% 10.14/7.59 (until2p7(s21) | (~xuntil2p8(s20))),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53741, 1472, 49295])).
% 10.14/7.59 tff(53743,plain,
% 10.14/7.59 (~xuntil2p8(s20)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53742, 53738])).
% 10.14/7.59 tff(53744,plain,
% 10.14/7.59 (~always3(s20)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[1480, 53732])).
% 10.14/7.59 tff(53745,plain,
% 10.14/7.59 (~node4(s20)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[1386, 22, 53744])).
% 10.14/7.59 tff(53746,plain,
% 10.14/7.59 (((~![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)))),
% 10.14/7.59 inference(rewrite,[status(thm)],[])).
% 10.14/7.59 tff(53747,plain,
% 10.14/7.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s20) | xuntil2p8(s20) | (~until2p7(s20)))),
% 10.14/7.59 inference(quant_inst,[status(thm)],[])).
% 10.14/7.59 tff(53748,plain,
% 10.14/7.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s20) | xuntil2p8(s20) | (~until2p7(s20))),
% 10.14/7.59 inference(modus_ponens,[status(thm)],[53747, 53746])).
% 10.14/7.59 tff(53749,plain,
% 10.14/7.59 (xuntil2p8(s20) | (~until2p7(s20))),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53748, 49280, 53745])).
% 10.14/7.59 tff(53750,plain,
% 10.14/7.59 (~until2p7(s20)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53749, 53743])).
% 10.14/7.59 tff(53751,plain,
% 10.14/7.59 (((~![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)))),
% 10.14/7.59 inference(rewrite,[status(thm)],[])).
% 10.14/7.59 tff(53752,plain,
% 10.14/7.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s19, s20)) | until2p7(s20) | (~xuntil2p8(s19)))),
% 10.14/7.59 inference(quant_inst,[status(thm)],[])).
% 10.14/7.59 tff(53753,plain,
% 10.14/7.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s19, s20)) | until2p7(s20) | (~xuntil2p8(s19))),
% 10.14/7.59 inference(modus_ponens,[status(thm)],[53752, 53751])).
% 10.14/7.59 tff(53754,plain,
% 10.14/7.59 (until2p7(s20) | (~xuntil2p8(s19))),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53753, 1355, 49295])).
% 10.14/7.59 tff(53755,plain,
% 10.14/7.59 (~xuntil2p8(s19)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53754, 53750])).
% 10.14/7.59 tff(53756,plain,
% 10.14/7.59 (~always3(s19)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[1363, 53744])).
% 10.14/7.59 tff(53757,plain,
% 10.14/7.59 (~node4(s19)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[1382, 22, 53756])).
% 10.14/7.59 tff(53758,plain,
% 10.14/7.59 (((~![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)))),
% 10.14/7.59 inference(rewrite,[status(thm)],[])).
% 10.14/7.59 tff(53759,plain,
% 10.14/7.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s19) | xuntil2p8(s19) | (~until2p7(s19)))),
% 10.14/7.59 inference(quant_inst,[status(thm)],[])).
% 10.14/7.59 tff(53760,plain,
% 10.14/7.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s19) | xuntil2p8(s19) | (~until2p7(s19))),
% 10.14/7.59 inference(modus_ponens,[status(thm)],[53759, 53758])).
% 10.14/7.59 tff(53761,plain,
% 10.14/7.59 (xuntil2p8(s19) | (~until2p7(s19))),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53760, 49280, 53757])).
% 10.14/7.59 tff(53762,plain,
% 10.14/7.59 (~until2p7(s19)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53761, 53755])).
% 10.14/7.59 tff(53763,plain,
% 10.14/7.59 (((~![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)))),
% 10.14/7.59 inference(rewrite,[status(thm)],[])).
% 10.14/7.59 tff(53764,plain,
% 10.14/7.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s18, s19)) | until2p7(s19) | (~xuntil2p8(s18)))),
% 10.14/7.59 inference(quant_inst,[status(thm)],[])).
% 10.14/7.59 tff(53765,plain,
% 10.14/7.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s18, s19)) | until2p7(s19) | (~xuntil2p8(s18))),
% 10.14/7.59 inference(modus_ponens,[status(thm)],[53764, 53763])).
% 10.14/7.59 tff(53766,plain,
% 10.14/7.59 (until2p7(s19) | (~xuntil2p8(s18))),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53765, 1367, 49295])).
% 10.14/7.59 tff(53767,plain,
% 10.14/7.59 (~xuntil2p8(s18)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53766, 53762])).
% 10.14/7.59 tff(53768,plain,
% 10.14/7.59 (~always3(s18)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[1375, 53756])).
% 10.14/7.59 tff(53769,plain,
% 10.14/7.59 (~node4(s18)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[1415, 22, 53768])).
% 10.14/7.59 tff(53770,plain,
% 10.14/7.59 (((~![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)))),
% 10.14/7.59 inference(rewrite,[status(thm)],[])).
% 10.14/7.59 tff(53771,plain,
% 10.14/7.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s18) | xuntil2p8(s18) | (~until2p7(s18)))),
% 10.14/7.59 inference(quant_inst,[status(thm)],[])).
% 10.14/7.59 tff(53772,plain,
% 10.14/7.59 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s18) | xuntil2p8(s18) | (~until2p7(s18))),
% 10.14/7.59 inference(modus_ponens,[status(thm)],[53771, 53770])).
% 10.14/7.59 tff(53773,plain,
% 10.14/7.59 (xuntil2p8(s18) | (~until2p7(s18))),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53772, 49280, 53769])).
% 10.14/7.59 tff(53774,plain,
% 10.14/7.59 (~until2p7(s18)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53773, 53767])).
% 10.14/7.59 tff(53775,plain,
% 10.14/7.59 (((~![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)))),
% 10.14/7.59 inference(rewrite,[status(thm)],[])).
% 10.14/7.59 tff(53776,plain,
% 10.14/7.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s17, s18)) | until2p7(s18) | (~xuntil2p8(s17)))),
% 10.14/7.59 inference(quant_inst,[status(thm)],[])).
% 10.14/7.59 tff(53777,plain,
% 10.14/7.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s17, s18)) | until2p7(s18) | (~xuntil2p8(s17))),
% 10.14/7.59 inference(modus_ponens,[status(thm)],[53776, 53775])).
% 10.14/7.59 tff(53778,plain,
% 10.14/7.59 (until2p7(s18) | (~xuntil2p8(s17))),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53777, 1275, 49295])).
% 10.14/7.59 tff(53779,plain,
% 10.14/7.59 (~xuntil2p8(s17)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[53778, 53774])).
% 10.14/7.59 tff(53780,plain,
% 10.14/7.59 (~always3(s17)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[1283, 53768])).
% 10.14/7.59 tff(53781,plain,
% 10.14/7.59 (~node4(s17)),
% 10.14/7.59 inference(unit_resolution,[status(thm)],[1214, 22, 53780])).
% 10.14/7.59 tff(53782,plain,
% 10.14/7.59 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s17) | xuntil2p8(s17) | (~until2p7(s17)))) <